some renames to draw the eWoms directory structure nearer to the the one of the remaining OPM modules

this renames the 'test' directory to 'tests' and 'test/implicit' to
'tests/models'. the latter change reflects the fact that in eWoms all
models are implicit since the IMPET models have been removed.

tests/common/propertysystem/test_propertysystem.cc

@@ -0,0 +1,197 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2010-2012 by Bernd Flemisch                               *
+ *   Copyright (C) 2010-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief This file tests the properties system.
+ *
+ * We define a few type tags and property tags, then we attach values
+ * to (TypeTag, PropertyTag) tuples and finally we use them in the
+ * main function and print some diagnostic messages.
+ */
+#include "config.h"
+
+#include <ewoms/common/propertysystem.hh>
+
+#include <iostream>
+
+namespace Ewoms {
+namespace Properties {
+
+///////////////////
+// Define some hierarchy of type tags:
+//
+//  Vehicle -- CompactCar -- Sedan -_
+//     \                            \.
+//      \                            +- Pickup ---_
+//       \                          /              \.
+//        +-- Truck ---------------^                \.
+//         \                                         \.
+//          +- Tank ----------------------------------+- HummerH1
+///////////////////
+NEW_TYPE_TAG(Vehicle);
+
+NEW_TYPE_TAG(CompactCar, INHERITS_FROM(Vehicle));
+NEW_TYPE_TAG(Truck, INHERITS_FROM(Vehicle));
+NEW_TYPE_TAG(Tank, INHERITS_FROM(Vehicle));
+
+NEW_TYPE_TAG(Sedan, INHERITS_FROM(CompactCar));
+NEW_TYPE_TAG(Pickup, INHERITS_FROM(Sedan, Truck));
+
+NEW_TYPE_TAG(HummerH1, INHERITS_FROM(Sedan, Pickup, Tank));
+
+///////////////////
+// Define the property tags:
+// TopSpeed, NumSeats, CanonCaliber, GasUsage, AutomaticTransmission, Payload
+///////////////////
+NEW_PROP_TAG(TopSpeed); // [km/h]
+NEW_PROP_TAG(NumSeats); // []
+NEW_PROP_TAG(CanonCaliber); // [mm]
+NEW_PROP_TAG(GasUsage); // [l/100km]
+NEW_PROP_TAG(AutomaticTransmission); // true/false
+NEW_PROP_TAG(Payload); // [t]
+
+///////////////////
+// Make the AutomaticTransmission default to false
+SET_BOOL_PROP(Vehicle, AutomaticTransmission, false);
+
+///////////////////
+// Define some values for the properties on the type tags:
+//
+// (CompactCar, TopSpeed) = GasUsage*35
+// (CompactCar, NumSeats) = 5
+// (CompactCar, GasUsage) = 4
+//
+// (Truck, TopSpeed) = 100
+// (Truck, NumSeats) = 2
+// (Truck, GasUsage) = 12
+// (Truck, Payload) = 35
+//
+// (Tank, TopSpeed) = 60
+// (Tank, GasUsage) = 65
+// (Tank, CanonCaliber) = 120
+//
+// (Sedan, GasUsage) = 7
+// (Sedan, AutomaticTransmission) = true
+//
+// (Pickup, TopSpeed) = 120
+// (Pickup, Payload) = 5
+//
+// (HummmerH1, TopSpeed) = (Pickup, TopSpeed)
+///////////////////
+
+SET_INT_PROP(CompactCar, TopSpeed, GET_PROP_VALUE(TypeTag, GasUsage) * 30);
+SET_INT_PROP(CompactCar, NumSeats, 5);
+SET_INT_PROP(CompactCar, GasUsage, 4);
+
+SET_INT_PROP(Truck, TopSpeed, 100);
+SET_INT_PROP(Truck, NumSeats, 2);
+SET_INT_PROP(Truck, GasUsage, 12);
+SET_INT_PROP(Truck, Payload, 35);
+
+SET_INT_PROP(Tank, TopSpeed, 60);
+SET_INT_PROP(Tank, GasUsage, 65);
+SET_INT_PROP(Tank, CanonCaliber, 120);
+
+SET_INT_PROP(Sedan, GasUsage, 7);
+SET_BOOL_PROP(Sedan, AutomaticTransmission, true);
+
+SET_INT_PROP(Pickup, TopSpeed, 120);
+SET_INT_PROP(Pickup, Payload, 5);
+
+SET_INT_PROP(HummerH1, TopSpeed, GET_PROP_VALUE(TTAG(Pickup), TopSpeed));
+
+///////////////////
+// Unmount the canon from the Hummer
+UNSET_PROP(HummerH1, CanonCaliber);
+
+} // namespace Properties
+} // namespace Ewoms
+
+
+int main()
+{
+    // print all properties for all type tags
+    std::cout << "---------------------------------------\n";
+    std::cout << "-- Property values\n";
+    std::cout << "---------------------------------------\n";
+
+    std::cout << "---------- Values for CompactCar ----------\n";
+
+    std::cout << "(CompactCar, TopSpeed) = " << GET_PROP_VALUE(TTAG(CompactCar), TopSpeed) << "\n";
+    std::cout << "(CompactCar, NumSeats) = " << GET_PROP_VALUE(TTAG(CompactCar), NumSeats) << "\n";
+    std::cout << "(CompactCar, GasUsage) = " << GET_PROP_VALUE(TTAG(CompactCar), GasUsage) << "\n";
+    std::cout << "(CompactCar, AutomaticTransmission) = " << GET_PROP_VALUE(TTAG(CompactCar), AutomaticTransmission) << "\n";
+
+    std::cout << "---------- Values for Truck ----------\n";
+
+    std::cout << "(Truck, TopSpeed) = " << GET_PROP_VALUE(TTAG(Truck), TopSpeed) << "\n";
+    std::cout << "(Truck, NumSeats) = " << GET_PROP_VALUE(TTAG(Truck), NumSeats) << "\n";
+    std::cout << "(Truck, GasUsage) = " << GET_PROP_VALUE(TTAG(Truck), GasUsage) << "\n";
+    std::cout << "(Truck, Payload) = " << GET_PROP_VALUE(TTAG(Truck), Payload) << "\n";
+    std::cout << "(Truck, AutomaticTransmission) = " << GET_PROP_VALUE(TTAG(Truck), AutomaticTransmission) << "\n";
+
+    std::cout << "---------- Values for Tank ----------\n";
+
+    std::cout << "(Tank, TopSpeed) = " << GET_PROP_VALUE(TTAG(Tank), TopSpeed) << "\n";
+    std::cout << "(Tank, GasUsage) = " << GET_PROP_VALUE(TTAG(Tank), GasUsage) << "\n";
+    std::cout << "(Tank, AutomaticTransmission) = " << GET_PROP_VALUE(TTAG(Tank), AutomaticTransmission) << "\n";
+    std::cout << "(Tank, CanonCaliber) = " << GET_PROP_VALUE(TTAG(Tank), CanonCaliber) << "\n";
+
+    std::cout << "---------- Values for Sedan ----------\n";
+
+    std::cout << "(Sedan, TopSpeed) = " << GET_PROP_VALUE(TTAG(Sedan), TopSpeed) << "\n";
+    std::cout << "(Sedan, NumSeats) = " << GET_PROP_VALUE(TTAG(Sedan), NumSeats) << "\n";
+    std::cout << "(Sedan, GasUsage) = " << GET_PROP_VALUE(TTAG(Sedan), GasUsage) << "\n";
+    std::cout << "(Sedan, AutomaticTransmission) = " << GET_PROP_VALUE(TTAG(Sedan), AutomaticTransmission) << "\n";
+
+    std::cout << "---------- Values for Pickup ----------\n";
+    std::cout << "(Pickup, TopSpeed) = " << GET_PROP_VALUE(TTAG(Pickup), TopSpeed) << "\n";
+    std::cout << "(Pickup, NumSeats) = " << GET_PROP_VALUE(TTAG(Pickup), NumSeats) << "\n";
+    std::cout << "(Pickup, GasUsage) = " << GET_PROP_VALUE(TTAG(Pickup), GasUsage) << "\n";
+    std::cout << "(Pickup, Payload) = " << GET_PROP_VALUE(TTAG(Pickup), Payload) << "\n";
+    std::cout << "(Pickup, AutomaticTransmission) = " << GET_PROP_VALUE(TTAG(Pickup), AutomaticTransmission) << "\n";
+
+    std::cout << "---------- Values for HummerH1 ----------\n";
+    std::cout << "(HummerH1, TopSpeed) = " << GET_PROP_VALUE(TTAG(HummerH1), TopSpeed) << "\n";
+    std::cout << "(HummerH1, NumSeats) = " << GET_PROP_VALUE(TTAG(HummerH1), NumSeats) << "\n";
+    std::cout << "(HummerH1, GasUsage) = " << GET_PROP_VALUE(TTAG(HummerH1), GasUsage) << "\n";
+    std::cout << "(HummerH1, Payload) = " << GET_PROP_VALUE(TTAG(HummerH1), Payload) << "\n";
+    std::cout << "(HummerH1, AutomaticTransmission) = " << GET_PROP_VALUE(TTAG(HummerH1), AutomaticTransmission) << "\n";
+    // CanonCaliber is explcitly unset for the Hummer -> this would not compile:
+    // std::cout << "(HummerH1, CanonCaliber) = " << GET_PROP_VALUE(TTAG(HummerH1), CanonCaliber) << "\n";
+
+    std::cout << "\n";
+    std::cout << "---------------------------------------\n";
+    std::cout << "-- Diagnostic messages\n";
+    std::cout << "---------------------------------------\n";
+
+    std::cout << "---- All properties for Sedan ---\n";
+    Ewoms::Properties::print<TTAG(Sedan)>();
+
+    std::cout << "---- Message for (HummerH1, CanonCaliber) ---\n"
+              << PROP_DIAGNOSTIC(TTAG(HummerH1), CanonCaliber);
+    std::cout << "---- Message for (HummerH1, GasUsage) ---\n"
+              << PROP_DIAGNOSTIC(TTAG(HummerH1), GasUsage);
+    std::cout << "---- Message for (HummerH1, AutomaticTransmission) ---\n"
+              << PROP_DIAGNOSTIC(TTAG(HummerH1), AutomaticTransmission);
+
+    return 0;
+}

tests/models/co2injection_flash.cc

@@ -0,0 +1,66 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the isothermal compositional model based on flash
+ *        calculations.
+ */
+#include "config.h"
+
+#if HAVE_QUAD
+#include <ewoms/common/quad.hh>
+#endif
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/flash/flashmodel.hh>
+#include "problems/co2injectionflash.hh"
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionFlashProblem, INHERITS_FROM(VcfvFlash, Co2InjectionBaseProblem));
+
+// for the flash model we want to use thermodynamic hints or it will
+// get _very_ slow.
+SET_BOOL_PROP(Co2InjectionFlashProblem, EnableHints, true);
+
+// use the flash solver adapted to the CO2 injection problem
+SET_TYPE_PROP(Co2InjectionFlashProblem,
+              FlashSolver,
+              Ewoms::Co2InjectionFlash<typename GET_PROP_TYPE(TypeTag, Scalar),
+              typename GET_PROP_TYPE(TypeTag, FluidSystem)> );
+
+// the flash model has serious problems with the numerical
+// precision. if quadruple precision math is available, we use it,
+// else we increase the tolerance of the Newton solver
+#if HAVE_QUAD
+SET_TYPE_PROP(Co2InjectionFlashProblem, Scalar, quad);
+#else
+SET_SCALAR_PROP(Co2InjectionFlashProblem, NewtonRelativeTolerance, 1e-5);
+#endif
+
+}
+}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionFlashProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_flash_ni.cc

@@ -0,0 +1,64 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the non-isothermal compositional model based on flash
+ *        calculations.
+ */
+#include "config.h"
+
+#include <ewoms/common/quad.hh>
+#include <ewoms/common/start.hh>
+#include <ewoms/models/flash/flashmodel.hh>
+#include "problems/co2injectionflash.hh"
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionFlashNIProblem, INHERITS_FROM(VcfvFlash, Co2InjectionBaseProblem));
+
+SET_BOOL_PROP(Co2InjectionFlashNIProblem, EnableEnergy, true);
+
+// for the flash model we want to use thermodynamic hints or it will
+// get _very_ slow.
+SET_BOOL_PROP(Co2InjectionFlashNIProblem, EnableHints, true);
+
+// use the CO2 injection problem adapted flash solver
+SET_TYPE_PROP(Co2InjectionFlashNIProblem,
+              FlashSolver,
+              Ewoms::Co2InjectionFlash<typename GET_PROP_TYPE(TypeTag, Scalar),
+              typename GET_PROP_TYPE(TypeTag, FluidSystem)> );
+
+// the flash model has serious problems with the numerical
+// precision. if quadruple precision math is available, we use it,
+// else we increase the tolerance of the Newton solver
+#if HAVE_QUAD
+SET_TYPE_PROP(Co2InjectionFlashNIProblem, Scalar, quad);
+#else
+SET_SCALAR_PROP(Co2InjectionFlashNIProblem, NewtonRelativeTolerance, 1e-5);
+#endif
+
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionFlashNIProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_immiscible.cc

@@ -0,0 +1,42 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the isothermal immiscible VCVF discretization
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionImmiscibleProblem, INHERITS_FROM(VcfvImmiscible, Co2InjectionBaseProblem));
+} }
+
+////////////////////////
+// the main function
+////////////////////////
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionImmiscibleProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_immiscible_ni.cc

@@ -0,0 +1,45 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Simulation of the injection problem using the VCVF discretization
+ *        assuming immisicibility and with energy enabled.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionImmiscibleNIProblem, INHERITS_FROM(VcfvImmiscible, Co2InjectionBaseProblem));
+
+SET_BOOL_PROP(Co2InjectionImmiscibleNIProblem, EnableEnergy, true);
+} }
+
+////////////////////////
+// the main function
+////////////////////////
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionImmiscibleNIProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_ncp.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the isothermal VCVF discretization based on non-linear
+ *        complementarity problems.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/ncp/ncpmodel.hh>
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionNcpProblem, INHERITS_FROM(VcfvNcp, Co2InjectionBaseProblem));
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionNcpProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_ncp_ni.cc

@@ -0,0 +1,42 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the non-isothermal VCVF discretization based on non-linear
+ *        complementarity problems.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/ncp/ncpmodel.hh>
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionNcpNIProblem, INHERITS_FROM(VcfvNcp, Co2InjectionBaseProblem));
+SET_BOOL_PROP(Co2InjectionNcpNIProblem, EnableEnergy, true);
+}
+}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionNcpNIProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_pvs.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the isothermal primary variable switching VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionPvsProblem, INHERITS_FROM(VcfvPvs, Co2InjectionBaseProblem));
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionPvsProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/co2injection_pvs_ni.cc

@@ -0,0 +1,41 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the non-isothermal primary variable switching VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/co2injectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(Co2InjectionPvsNIProblem, INHERITS_FROM(VcfvPvs, Co2InjectionBaseProblem));
+
+SET_BOOL_PROP(Co2InjectionPvsNIProblem, EnableEnergy, true);
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Co2InjectionPvsNIProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/cuvette_pvs.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the 3p3cni VCVF discretization
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/cuvetteproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(CuvetteProblem, INHERITS_FROM(VcfvPvs, CuvetteBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(CuvetteProblem) ProblemTypeTag;
+//    typedef TTAG(ColumnProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/diffusion_flash.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the Forchheimer velocity model
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/flash/flashmodel.hh>
+#include "problems/diffusionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(DiffusionProblem, INHERITS_FROM(VcfvFlash, DiffusionBaseProblem));
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(DiffusionProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/diffusion_ncp.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the Forchheimer velocity model
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/ncp/ncpmodel.hh>
+#include "problems/diffusionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(DiffusionProblem, INHERITS_FROM(VcfvNcp, DiffusionBaseProblem));
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(DiffusionProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/diffusion_pvs.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the Forchheimer velocity model
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/diffusionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(DiffusionProblem, INHERITS_FROM(VcfvPvs, DiffusionBaseProblem));
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(DiffusionProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/finger_immiscible.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2010-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Problem featuring a saturation overshoot.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/fingerproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(FingerProblem, INHERITS_FROM(VcfvImmiscibleTwoPhase, FingerBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(FingerProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/fracture_discretefracture.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Two-phase problem test with fractures.
+ */
+#include "config.h"
+
+#if !HAVE_ALUGRID
+#warning "The ALUGrid Dune grid manager is required for this test."
+int main(int argc, char** argv)
+{}
+#else
+#include <ewoms/common/start.hh>
+#include "problems/fractureproblem.hh"
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(FractureProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}
+
+#endif

tests/models/grids/co2injection.dgf

@@ -0,0 +1,10 @@
+DGF
+Interval
+0 0   % first corner 
+60 40   % second corner
+24 16   % 24 cells in x and 16 in y direction
+# 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/cuvette_11x4.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+1.5 0.74   % second corner
+11 4   % cells in x and in y direction
+# 
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/cuvette_44x24.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+1.5 0.74   % second corner
+44 24   % 22 cells in x and 12 in y direction
+# 
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/groundwater_1d.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 % first corner 
+1 % second corner
+10 % cells in x direction 
+#
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/groundwater_2d.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 0   % first corner 
+1 1   % second corner
+10 10 % cells in x and y direction 
+#
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/groundwater_3d.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 0 0  % first corner 
+1 1 1  % second corner
+20 20 20  % 1 cells in x and 1 in y direction
+# 
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/infiltration_250x20.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+500 10   % second corner
+250 20   % cells in x and y direction
+# 
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/infiltration_50x3.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+500 10   % second corner
+50 3   % cells in x and y direction
+# 
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/obstacle_24x16.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+60 40   % second corner
+24 16   % 24 cells in x and 16 in y direction
+#
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/obstacle_48x32.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+60 40   % second corner
+48 32   % 24 cells in x and 16 in y direction
+#
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/outflow.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 0   % first corner 
+1 1   % second corner
+20 20  % number of cells in x and y direction
+# 
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/reservoir.dgf

@@ -0,0 +1,10 @@
+DGF
+Interval
+0 0   % first corner 
+6000 20   % second corner
+100 10   % 24 cells in x and 16 in y direction
+#
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+#

tests/models/grids/richardslens_24x16.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 0   % first corner 
+6 4   % second corner
+24 16 % cells in x and in y direction
+# 
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/richardslens_48x32.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 0   % first corner 
+6 4   % second corner
+48 32 % cells in x and in y direction
+# 
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/richardslens_96x64.dgf

@@ -0,0 +1,11 @@
+DGF
+Interval
+0 0   % first corner 
+6 4   % second corner
+96 64   % cells in x and in y direction
+# 
+
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/test_stokes.dgf

@@ -0,0 +1,10 @@
+DGF
+Interval
+0 0     % first corner 
+1.0 1.0 % second corner
+32 32   % cells in x and in y direction
+#
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/test_stokes2c.dgf

@@ -0,0 +1,16 @@
+DGF
+Interval
+0 0   % first corner 
+1.0 1.0 % second corner
+32 32 % 120 30   % 24 cells in x and 16 in y direction
+# 
+#GridParameter
+#overlap 0 
+#periodic 
+#closure green
+#copies none
+#heapsize 500
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/test_stokes2cni.dgf

@@ -0,0 +1,16 @@
+DGF
+Interval
+0 0   % first corner 
+1.0 1.0 % second corner
+18 18 % 120 30   % 24 cells in x and 16 in y direction
+# 
+#GridParameter
+#overlap 0 
+#periodic 
+#closure green
+#copies none
+#heapsize 500
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/grids/waterair.dgf

@@ -0,0 +1,15 @@
+DGF
+Interval
+0 0   % first corner 
+40 40   % second corner
+64 64
+# 
+GridParameter
+overlap 0 
+periodic 
+closure green
+#GridParameter 
+BOUNDARYDOMAIN
+default 1    % all boundaries have id 1
+#BOUNDARYDOMAIN
+# unitcube.dgf 

tests/models/groundwater_immiscible.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2010-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the immisicible VCVF discretization with only a single phase
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/groundwaterproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(GroundWaterProblem, INHERITS_FROM(VcfvImmiscibleOnePhase, GroundWaterBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(GroundWaterProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/infiltration_pvs.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the primary variable switching VCVF discretization
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/infiltrationproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(InfiltrationProblem, INHERITS_FROM(VcfvPvs, InfiltrationBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(InfiltrationProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}
+

tests/models/lens_immiscible.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2010-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Two-phase test for the immiscible model which uses the
+ *        vertex-centered finite volume discretization
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/lensproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(LensProblem, INHERITS_FROM(VcfvImmiscibleTwoPhase, LensBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(LensProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/lens_richards.cc

@@ -0,0 +1,33 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the Richards VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include "problems/richardslensproblem.hh"
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(RichardsLensProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/obstacle_immiscible.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+
+/**
+ * \file
+ *
+ * \brief Test for the immiscible multi-phase VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/obstacleproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(ObstacleProblem, INHERITS_FROM(VcfvImmiscible, ObstacleBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(ObstacleProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/obstacle_ncp.cc

@@ -0,0 +1,40 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the compositional NCP VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/ncp/ncpmodel.hh>
+
+#include "problems/obstacleproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(ObstacleProblem, INHERITS_FROM(VcfvNcp, ObstacleBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(ObstacleProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/obstacle_pvs.cc

@@ -0,0 +1,43 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+
+/**
+ * \file
+ *
+ * \brief Test for the isothermal primary variable switching VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/obstacleproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(ObstacleProblem, INHERITS_FROM(VcfvPvs, ObstacleBaseProblem));
+
+// Verbosity of the PVS model (0=silent, 1=medium, 2=chatty)
+SET_INT_PROP(ObstacleProblem, PvsVerbosity, 1);
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(ObstacleProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/outflow_pvs.cc

@@ -0,0 +1,42 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the compositional PVS VCVF discretization
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/outflowproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(OutflowProblem, INHERITS_FROM(VcfvPvs, OutflowBaseProblem));
+
+// Verbosity of the PVS model (0=silent, 1=medium, 2=chatty)
+SET_INT_PROP(OutflowProblem, PvsVerbosity, 1);
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(OutflowProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/powerinjection_darcy.cc

@@ -0,0 +1,41 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the Forchheimer velocity model
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/powerinjectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(PowerInjectionProblem, INHERITS_FROM(VcfvImmiscibleTwoPhase, PowerInjectionBaseProblem));
+
+SET_TYPE_PROP(PowerInjectionProblem, VelocityModule, Ewoms::VcfvDarcyVelocityModule<TypeTag>);
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(PowerInjectionProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/powerinjection_forchheimer.cc

@@ -0,0 +1,41 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the Forchheimer velocity model
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include "problems/powerinjectionproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(PowerInjectionProblem, INHERITS_FROM(VcfvImmiscibleTwoPhase, PowerInjectionBaseProblem));
+
+SET_TYPE_PROP(PowerInjectionProblem, VelocityModule, Ewoms::VcfvForchheimerVelocityModule<TypeTag>);
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(PowerInjectionProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/problems/co2injectionflash.hh

@@ -0,0 +1,70 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::Co2InjectionFlash
+ */
+#ifndef EWOMS_CO2_INJECTION_FLASH_HH
+#define EWOMS_CO2_INJECTION_FLASH_HH
+
+#include <opm/material/constraintsolvers/NcpFlash.hpp>
+
+namespace Ewoms {
+/*!
+ * \brief Flash solver used by the CO2 injection problem.
+ *
+ * This class is just the NCP flash solver with the guessInitial()
+ * method that is adapted to the pressure regime of the CO2 injection
+ * problem.
+ */
+template <class Scalar, class FluidSystem>
+class Co2InjectionFlash : public Opm::NcpFlash<Scalar, FluidSystem>
+{
+    typedef Opm::NcpFlash<Scalar, FluidSystem> ParentType;
+
+    typedef typename FluidSystem::ParameterCache ParameterCache;
+    typedef typename ParentType::ComponentVector ComponentVector;
+
+    enum { numPhases = FluidSystem::numPhases };
+public:
+    /*!
+     * \brief Guess initial values for all quantities.
+     */
+    template <class FluidState>
+    static void guessInitial(FluidState &fluidState,
+                             ParameterCache &paramCache,
+                             const ComponentVector &globalMolarities)
+    {
+        ParentType::guessInitial(fluidState, paramCache, globalMolarities);
+
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx) {
+            // pressure. something close to the reservoid pressure as initial guess
+            fluidState.setPressure(phaseIdx, 1.0135e6);
+        }
+
+        paramCache.updateAllPressures(fluidState);
+    }
+
+
+};
+
+} // namespace Ewoms
+
+#endif // EWOMS_CO2_INJECTION_FLASH_HH

tests/models/problems/co2injectionproblem.hh

@@ -0,0 +1,594 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::Co2InjectionProblem
+ */
+#ifndef EWOMS_CO2_INJECTION_PROBLEM_HH
+#define EWOMS_CO2_INJECTION_PROBLEM_HH
+
+#include <ewoms/models/pvs/pvsproperties.hh>
+
+#include <opm/material/fluidsystems/H2ON2FluidSystem.hpp>
+#include <opm/material/fluidsystems/BrineCO2FluidSystem.hpp>
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/constraintsolvers/ComputeFromReferencePhase.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedBrooksCorey.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+#include <opm/material/heatconduction/Somerton.hpp>
+#include <opm/material/binarycoefficients/Brine_CO2.hpp>
+#include <opm/material/StaticTabulated2dFunction.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <iostream>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class Co2InjectionProblem;
+
+namespace Co2Injection {
+#include <opm/material/components/co2tables.inc>
+}
+
+namespace Properties {
+
+NEW_TYPE_TAG(Co2InjectionBaseProblem);
+
+// declare the CO2 injection problem specific property tags
+NEW_PROP_TAG(FluidSystemPressureLow);
+NEW_PROP_TAG(FluidSystemPressureHigh);
+NEW_PROP_TAG(FluidSystemNumPressure);
+NEW_PROP_TAG(FluidSystemTemperatureLow);
+NEW_PROP_TAG(FluidSystemTemperatureHigh);
+NEW_PROP_TAG(FluidSystemNumTemperature);
+
+NEW_PROP_TAG(MaxDepth);
+NEW_PROP_TAG(Temperature);
+NEW_PROP_TAG(SimulationName);
+
+// Set the grid type
+SET_TYPE_PROP(Co2InjectionBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(Co2InjectionBaseProblem, Problem, Ewoms::Co2InjectionProblem<TypeTag>);
+
+// Set fluid configuration
+SET_PROP(Co2InjectionBaseProblem, FluidSystem)
+{ private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Ewoms::Co2Injection::CO2Tables CO2Tables;
+
+    static const bool useComplexRelations = false;
+public:
+    typedef Opm::FluidSystems::BrineCO2<Scalar, CO2Tables> type;
+    //typedef Opm::FluidSystems::H2ON2<Scalar, useComplexRelations> type;
+};
+
+// Set the material Law
+SET_PROP(Co2InjectionBaseProblem, MaterialLaw)
+{
+private:
+    // define the material law which is parameterized by effective
+    // saturations
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Opm::RegularizedBrooksCorey<Scalar> EffMaterialLaw;
+    // define the material law parameterized by absolute saturations
+    typedef Opm::EffToAbsLaw<EffMaterialLaw> TwoPMaterialLaw;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { lPhaseIdx = FluidSystem::lPhaseIdx };
+
+public:
+    typedef Opm::TwoPAdapter<lPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Set the heat conduction law
+SET_PROP(Co2InjectionBaseProblem, HeatConductionLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    // define the material law parameterized by absolute saturations
+    typedef Opm::Somerton<FluidSystem, Scalar> type;
+};
+
+// Write the Newton convergence behavior to disk?
+SET_BOOL_PROP(Co2InjectionBaseProblem, NewtonWriteConvergence, false);
+
+// Enable gravity
+SET_BOOL_PROP(Co2InjectionBaseProblem, EnableGravity, true);
+
+// Reuse Jacobian matrices if possible?
+SET_BOOL_PROP(Co2InjectionBaseProblem, EnableJacobianRecycling, true);
+
+// Smoothen the upwinding method?
+SET_BOOL_PROP(Co2InjectionBaseProblem, EnableSmoothUpwinding, false);
+
+// set the defaults for the problem specific properties
+SET_SCALAR_PROP(Co2InjectionBaseProblem, FluidSystemPressureLow, 3e7);
+SET_SCALAR_PROP(Co2InjectionBaseProblem, FluidSystemPressureHigh, 4e7);
+SET_INT_PROP(Co2InjectionBaseProblem, FluidSystemNumPressure, 100);
+SET_SCALAR_PROP(Co2InjectionBaseProblem, FluidSystemTemperatureLow, 290);
+SET_SCALAR_PROP(Co2InjectionBaseProblem, FluidSystemTemperatureHigh, 500);
+SET_INT_PROP(Co2InjectionBaseProblem, FluidSystemNumTemperature, 100);
+
+SET_SCALAR_PROP(Co2InjectionBaseProblem, MaxDepth, 2500);
+SET_SCALAR_PROP(Co2InjectionBaseProblem, Temperature, 293.15);
+SET_STRING_PROP(Co2InjectionBaseProblem, SimulationName, "co2injection");
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(Co2InjectionBaseProblem, EndTime, 1e4);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(Co2InjectionBaseProblem, InitialTimeStepSize, 250);
+
+// The default DGF file to load
+SET_STRING_PROP(Co2InjectionBaseProblem, GridFile, "grids/co2injection.dgf");
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Problem where \f$CO_2\f$ is injected under a low permeable
+ *        layer at a depth of 2700m.
+ *
+ * The domain is sized 60m times 40m and consists of two layers, one
+ * which is moderately permeable (\f$K = 10^{-12}\;m^2\f$) for \f$ y >
+ * 22\; m\f$ and one with a lower intrinsic permeablility (\f$
+ * K=10^{-13}\;m^2\f$) in the rest of the domain.
+ *
+ * \f$CO_2\f$ gets injected by means of a forced-flow boundary
+ * condition into water-filled aquifer, which is situated 2700m below
+ * sea level, at the lower-right boundary (\f$5m<y<15m\f$) and
+ * migrates upwards due to buoyancy. It accumulates and eventually
+ * enters the lower permeable aquitard.
+ *
+ * The boundary conditions applied by this problem are no-flow
+ * conditions on the top bottom and right boundaries and a free-flow
+ * boundary condition on the left. For the free-flow condition,
+ * hydrostatic pressure is assumed.
+ */
+template <class TypeTag>
+class Co2InjectionProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+    enum {
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    // copy some indices for convenience
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    enum {
+        numPhases = FluidSystem::numPhases,
+
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+        lPhaseIdx = FluidSystem::lPhaseIdx,
+
+        CO2Idx = FluidSystem::CO2Idx,
+        BrineIdx = FluidSystem::BrineIdx,
+
+        conti0EqIdx = Indices::conti0EqIdx,
+        contiCO2EqIdx = conti0EqIdx + CO2Idx
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLaw) HeatConductionLaw;
+    typedef typename HeatConductionLaw::Params HeatConductionLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    Co2InjectionProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 1e-6;
+
+        temperatureLow_ = GET_PARAM(TypeTag, Scalar, FluidSystemTemperatureLow);
+        temperatureHigh_ = GET_PARAM(TypeTag, Scalar, FluidSystemTemperatureHigh);
+        nTemperature_ = GET_PARAM(TypeTag, int, FluidSystemNumTemperature);
+
+        nPressure_ = GET_PARAM(TypeTag, int, FluidSystemNumPressure);
+        pressureLow_ = GET_PARAM(TypeTag, Scalar, FluidSystemPressureLow);
+        pressureHigh_ = GET_PARAM(TypeTag, Scalar, FluidSystemPressureHigh);
+
+        maxDepth_ = GET_PARAM(TypeTag, Scalar, MaxDepth);
+        temperature_ = GET_PARAM(TypeTag, Scalar, Temperature);
+        name_ = GET_PARAM(TypeTag, std::string, SimulationName);
+
+        // initialize the tables of the fluid system
+        //FluidSystem::init();
+        FluidSystem::init(/*Tmin=*/temperatureLow_,
+                          /*Tmax=*/temperatureHigh_,
+                          /*nT=*/nTemperature_,
+                          /*pmin=*/pressureLow_,
+                          /*pmax=*/pressureHigh_,
+                          /*np=*/nPressure_);
+
+
+        fineLayerBottom_ = 22.0;
+
+        // intrinsic permeabilities
+        fineK_ = this->toDimMatrix_(1e-13);
+        coarseK_ = this->toDimMatrix_(1e-12);
+
+        // porosities
+        finePorosity_ = 0.3;
+        coarsePorosity_ = 0.3;
+
+        // residual saturations
+        fineMaterialParams_.setSwr(0.2);
+        fineMaterialParams_.setSnr(0.0);
+        coarseMaterialParams_.setSwr(0.2);
+        coarseMaterialParams_.setSnr(0.0);
+
+        // parameters for the Brooks-Corey law
+        fineMaterialParams_.setPe(1e4);
+        coarseMaterialParams_.setPe(5e3);
+        fineMaterialParams_.setLambda(2.0);
+        coarseMaterialParams_.setLambda(2.0);
+
+        // parameters for the somerton law of heat conduction
+        computeHeatCondParams_(fineHeatCondParams_, finePorosity_);
+        computeHeatCondParams_(coarseHeatCondParams_, coarsePorosity_);
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::registerParameters
+     */
+    static void registerParameters()
+    {
+        ParentType::registerParameters();
+
+        REGISTER_PARAM(TypeTag, Scalar, FluidSystemTemperatureLow, "The lower temperature [K] for tabulation of the fluid system");
+        REGISTER_PARAM(TypeTag, Scalar, FluidSystemTemperatureHigh, "The upper temperature [K] for tabulation of the fluid system");
+        REGISTER_PARAM(TypeTag, int, FluidSystemNumTemperature, "The number of intervals between the lower and upper temperature");
+
+        REGISTER_PARAM(TypeTag, Scalar, FluidSystemPressureLow, "The lower pressure [Pa] for tabulation of the fluid system");
+        REGISTER_PARAM(TypeTag, Scalar, FluidSystemPressureHigh, "The upper pressure [Pa] for tabulation of the fluid system");
+        REGISTER_PARAM(TypeTag, int, FluidSystemNumPressure, "The number of intervals between the lower and upper pressure");
+
+        REGISTER_PARAM(TypeTag, Scalar, Temperature, "The temperature [K] in the reservoir");
+        REGISTER_PARAM(TypeTag, Scalar, MaxDepth, "The maximum depth [m] of the reservoir");
+        REGISTER_PARAM(TypeTag, std::string, SimulationName, "The name of the simulation used for the output files");
+    }
+
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    {
+        std::ostringstream oss;
+        oss << name_ << "_" << this->model().name();
+        if (GET_PROP_VALUE(TypeTag, EnableEnergy))
+            oss << "_ni";
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvProblem::postTimeStep
+     */
+    void postTimeStep()
+    {
+        // Calculate storage terms
+        PrimaryVariables storageL, storageG;
+        this->model().globalPhaseStorage(storageL, /*phaseIdx=*/0);
+        this->model().globalPhaseStorage(storageG, /*phaseIdx=*/1);
+
+        // Write mass balance information for rank 0
+        if (this->gridView().comm().rank() == 0) {
+            std::cout<<"Storage: liquid=[" << storageL << "]"
+                     << " gas=[" << storageG << "]\n";
+        }
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+        if (inHighTemperatureRegion_(pos))
+            return temperature_ + 100;
+        return temperature_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineK_;
+        return coarseK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return finePorosity_;
+        return coarsePorosity_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineMaterialParams_;
+        return coarseMaterialParams_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatCapacitySolid
+     *
+     * In this case, we assume the rock-matrix to be granite.
+     */
+    template <class Context>
+    Scalar heatCapacitySolid(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        return
+            790 // specific heat capacity of granite [J / (kg K)]
+            * 2700; // density of granite [kg/m^3]
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatConductionParams
+     */
+    template <class Context>
+    const HeatConductionLawParams&
+    heatConductionParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineHeatCondParams_;
+        return coarseHeatCondParams_;
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos)) {
+            Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+            initialFluidState_(fs, context, spaceIdx, timeIdx);
+            fs.checkDefined();
+
+            // impose an freeflow boundary condition
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else if (onInlet_(pos)) {
+            RateVector massRate(0.0);
+            massRate[contiCO2EqIdx] = -1e-3; // [kg/(m^3 s)]
+
+            Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+            fs.setSaturation(gPhaseIdx, 1.0);
+            fs.setPressure(gPhaseIdx,context. volVars(spaceIdx, timeIdx).fluidState().pressure(gPhaseIdx));
+            fs.setTemperature(temperature(context, spaceIdx, timeIdx));
+            typename FluidSystem::ParameterCache paramCache;
+            paramCache.updatePhase(fs, gPhaseIdx);
+            Scalar h = FluidSystem::enthalpy(fs, paramCache, gPhaseIdx);
+
+            // impose an forced inflow boundary condition
+            values.setMassRate(massRate);
+            values.setEnthalpyRate(massRate[contiCO2EqIdx] * h);
+        }
+        else
+            // no flow on top and bottom
+            values.setNoFlow();
+    }
+
+    // \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+        initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+        //const auto &matParams = this->materialLawParams(context, spaceIdx, timeIdx);
+        //values.assignMassConservative(fs, matParams, /*inEquilibrium=*/true);
+        values.assignNaive(fs);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    template <class Context, class FluidState>
+    void initialFluidState_(FluidState &fs, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        //////
+        // set temperature
+        //////
+        fs.setTemperature(temperature(context, spaceIdx, timeIdx));
+
+        //////
+        // set saturations
+        //////
+        fs.setSaturation(FluidSystem::lPhaseIdx, 1.0);
+        fs.setSaturation(FluidSystem::gPhaseIdx, 0.0);
+
+        //////
+        // set pressures
+        //////
+        Scalar densityL = FluidSystem::Brine::liquidDensity(temperature_, 1e5);
+        Scalar depth = maxDepth_ - pos[dim -1];
+        Scalar pl = 1e5 - densityL*this->gravity()[dim - 1]*depth;
+
+        Scalar pC[numPhases];
+        const auto &matParams = this->materialLawParams(context, spaceIdx, timeIdx);
+        MaterialLaw::capillaryPressures(pC, matParams, fs);
+
+        fs.setPressure(lPhaseIdx, pl + (pC[lPhaseIdx] - pC[lPhaseIdx]));
+        fs.setPressure(gPhaseIdx, pl + (pC[gPhaseIdx] - pC[lPhaseIdx]));
+
+        //////
+        // set composition of the liquid phase
+        //////
+        fs.setMoleFraction(lPhaseIdx, CO2Idx, 0.005);
+        fs.setMoleFraction(lPhaseIdx, BrineIdx,
+                           1.0 - fs.moleFraction(lPhaseIdx, CO2Idx));
+
+        typename FluidSystem::ParameterCache paramCache;
+        typedef Opm::ComputeFromReferencePhase<Scalar, FluidSystem> CFRP;
+        CFRP::solve(fs,
+                    paramCache,
+                    /*refPhaseIdx=*/lPhaseIdx,
+                    /*setViscosity=*/true,
+                    /*setEnthalpy=*/true);
+    }
+
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    { return onRightBoundary_(pos) && (5 < pos[1]) && (pos[1] < 15); }
+
+    bool inHighTemperatureRegion_(const GlobalPosition &pos) const
+    { return (pos[0] > 20) && (pos[0] < 30) && (pos[1] > 5) && (pos[1] < 35); }
+
+    void computeHeatCondParams_(HeatConductionLawParams &params, Scalar poro)
+    {
+        Scalar lambdaWater = 0.6;
+        Scalar lambdaGranite = 2.8;
+
+        Scalar lambdaWet = std::pow(lambdaGranite, (1-poro)) * std::pow(lambdaWater, poro);
+        Scalar lambdaDry = std::pow(lambdaGranite, (1-poro));
+
+        params.setFullySaturatedLambda(gPhaseIdx, lambdaDry);
+        params.setFullySaturatedLambda(lPhaseIdx, lambdaWet);
+        params.setVacuumLambda(lambdaDry);
+    }
+
+    bool isFineMaterial_(const GlobalPosition &pos) const
+    { return pos[dim-1] > fineLayerBottom_; }
+
+    DimMatrix fineK_;
+    DimMatrix coarseK_;
+    Scalar fineLayerBottom_;
+
+    Scalar finePorosity_;
+    Scalar coarsePorosity_;
+
+    MaterialLawParams fineMaterialParams_;
+    MaterialLawParams coarseMaterialParams_;
+
+    HeatConductionLawParams fineHeatCondParams_;
+    HeatConductionLawParams coarseHeatCondParams_;
+
+    Scalar temperature_;
+    Scalar maxDepth_;
+    Scalar eps_;
+
+    int nTemperature_;
+    int nPressure_;
+
+    std::string name_ ;
+
+    Scalar pressureLow_, pressureHigh_;
+    Scalar temperatureLow_, temperatureHigh_;
+};
+} //end namespace
+
+#endif

tests/models/problems/cuvetteproblem.hh

@@ -0,0 +1,622 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *   Copyright (C) 2009-2012 by Bernd Flemisch                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::CuvetteProblem
+ */
+#ifndef EWOMS_CUVETTE_PROBLEM_HH
+#define EWOMS_CUVETTE_PROBLEM_HH
+
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/fluidsystems/H2OAirMesityleneFluidSystem.hpp>
+#include <opm/material/fluidmatrixinteractions/3p/3pParkerVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/3pAdapter.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/MpLinearMaterial.hpp>
+#include <opm/material/heatconduction/Somerton.hpp>
+#include <opm/material/constraintsolvers/MiscibleMultiPhaseComposition.hpp>
+
+#include <ewoms/models/pvs/pvsproperties.hh>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class CuvetteProblem;
+
+namespace Properties {
+
+// create a new type tag for the cuvette steam injection problem
+NEW_TYPE_TAG(CuvetteBaseProblem);
+
+SET_BOOL_PROP(CuvetteBaseProblem, EnablePartialReassemble, true);
+SET_BOOL_PROP(CuvetteBaseProblem, EnableJacobianRecycling, true);
+
+// Set the grid type
+SET_TYPE_PROP(CuvetteBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(CuvetteBaseProblem, Problem, Ewoms::CuvetteProblem<TypeTag>);
+
+// Set the fluid system
+SET_TYPE_PROP(CuvetteBaseProblem,
+              FluidSystem,
+              Opm::FluidSystems::H2OAirMesitylene<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+// Enable gravity
+SET_BOOL_PROP(CuvetteBaseProblem, EnableGravity, true);
+
+// Set the maximum time step
+SET_SCALAR_PROP(CuvetteBaseProblem, MaxTimeStepSize, 600.);
+
+// Set the material Law
+SET_PROP(CuvetteBaseProblem, MaterialLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+    enum { nPhaseIdx = FluidSystem::nPhaseIdx };
+    enum { gPhaseIdx = FluidSystem::gPhaseIdx };
+
+    // define the three-phase material law
+    typedef Opm::ThreePParkerVanGenuchten<Scalar> ThreePLaw;
+
+
+public:
+    // wrap the three-phase law in an adaptor to make use the generic
+    // material law API
+    typedef Opm::ThreePAdapter<wPhaseIdx, nPhaseIdx, gPhaseIdx, ThreePLaw> type;
+
+    //typedef Opm::MpLinearMaterial<FluidSystem::numPhases, Scalar> type;
+};
+
+// Set the heat conduction law
+SET_PROP(CuvetteBaseProblem, HeatConductionLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    // define the material law parameterized by absolute saturations
+    typedef Opm::Somerton<FluidSystem, Scalar> type;
+};
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(CuvetteBaseProblem, EndTime, 180);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(CuvetteBaseProblem, InitialTimeStepSize, 1);
+
+// The default DGF file to load
+SET_STRING_PROP(CuvetteBaseProblem, GridFile, "./grids/cuvette_11x4.dgf");
+}
+
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Non-isothermal three-phase gas injection problem where a hot gas
+ *        is injected into a unsaturated porous medium with a residually
+ *        trapped NAPL contamination.
+ *
+ * The domain is a quasi-two-dimensional container (cuvette). Its
+ * dimensions are 1.5 m x 0.74 m. The top and bottom boundaries are
+ * closed, the right boundary is a free-flow boundary allowing fluids
+ * to escape. From the left, an injection of a hot water-air mixture
+ * is injected. The set-up is aimed at remediating an initial NAPL
+ * (Non-Aquoeus Phase Liquid) contamination in the domain.  The
+ * contamination is initially placed partly into the ambient coarse
+ * sand and partly into a fine sand lens.
+ *
+ * This simulation can be varied through assigning different boundary conditions
+ * at the left boundary as described in Class (2001):
+ * Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in
+ * NAPL-kontaminierten poroesen Medien, Dissertation, Eigenverlag des Instituts
+ * fuer Wasserbau
+ *
+ * To see the basic effect and the differences to scenarios with pure
+ * steam or pure air injection, it is sufficient to simulate this
+ * problem to about 2-3 hours simulation time.  Complete remediation
+ * of the domain requires much longer (about 10 days simulated time).
+ */
+template <class TypeTag >
+class CuvetteProblem : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLaw) HeatConductionLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLawParams) HeatConductionLawParams;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+    // copy some indices for convenience
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    enum {
+        numPhases = FluidSystem::numPhases,
+        numComponents = FluidSystem::numComponents,
+
+        wPhaseIdx = FluidSystem::wPhaseIdx,
+        nPhaseIdx = FluidSystem::nPhaseIdx,
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+
+        H2OIdx = FluidSystem::H2OIdx,
+        airIdx = FluidSystem::airIdx,
+        NAPLIdx = FluidSystem::NAPLIdx,
+
+        conti0EqIdx = Indices::conti0EqIdx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    CuvetteProblem(TimeManager &timeManager)
+        : ParentType(timeManager,
+                     GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+        , eps_(1e-6)
+    {
+        if (Valgrind::IsRunning())
+            FluidSystem::init(/*minT=*/283.15, /*maxT=*/500.0, /*nT=*/20,
+                              /*minp=*/0.8e5, /*maxp=*/2e5, /*np=*/10);
+        else
+            FluidSystem::init(/*minT=*/283.15, /*maxT=*/500.0, /*nT=*/200,
+                              /*minp=*/0.8e5, /*maxp=*/2e5, /*np=*/100);
+
+        // intrinsic permeabilities
+        fineK_ = this->toDimMatrix_(6.28e-12);
+        coarseK_ = this->toDimMatrix_(9.14e-10);
+
+        // porosities
+        finePorosity_ = 0.42;
+        coarsePorosity_ = 0.42;
+
+        // parameters for the capillary pressure law
+#if 1
+        // three-phase van Genuchten law
+        fineMaterialParams_.setVgAlpha(0.0005);
+        coarseMaterialParams_.setVgAlpha(0.005);
+        fineMaterialParams_.setVgN(4.0);
+        coarseMaterialParams_.setVgN(4.0);
+
+        coarseMaterialParams_.setkrRegardsSnr(true);
+        fineMaterialParams_.setkrRegardsSnr(true);
+
+        coarseMaterialParams_.setKdNAPL(0.);
+        coarseMaterialParams_.setRhoBulk(1500.);
+        fineMaterialParams_.setKdNAPL(0.);
+        fineMaterialParams_.setRhoBulk(1500.);
+
+        // residual saturations
+        fineMaterialParams_.setSwr(0.1201);
+        fineMaterialParams_.setSwrx(0.1201);
+        fineMaterialParams_.setSnr(0.0701);
+        fineMaterialParams_.setSgr(0.0101);
+        coarseMaterialParams_.setSwr(0.1201);
+        coarseMaterialParams_.setSwrx(0.1201);
+        coarseMaterialParams_.setSnr(0.0701);
+        coarseMaterialParams_.setSgr(0.0101);
+#else
+        // linear material law
+        fineMaterialParams_.setPcMinSat(gPhaseIdx, 0);
+        fineMaterialParams_.setPcMaxSat(gPhaseIdx, 0);
+        fineMaterialParams_.setPcMinSat(nPhaseIdx, 0);
+        fineMaterialParams_.setPcMaxSat(nPhaseIdx, -1000);
+        fineMaterialParams_.setPcMinSat(wPhaseIdx, 0);
+        fineMaterialParams_.setPcMaxSat(wPhaseIdx, -10000);
+
+        coarseMaterialParams_.setPcMinSat(gPhaseIdx, 0);
+        coarseMaterialParams_.setPcMaxSat(gPhaseIdx, 0);
+        coarseMaterialParams_.setPcMinSat(nPhaseIdx, 0);
+        coarseMaterialParams_.setPcMaxSat(nPhaseIdx, -100);
+        coarseMaterialParams_.setPcMinSat(wPhaseIdx, 0);
+        coarseMaterialParams_.setPcMaxSat(wPhaseIdx, -1000);
+
+        // residual saturations
+        fineMaterialParams_.setResidSat(wPhaseIdx, 0.1201);
+        fineMaterialParams_.setResidSat(nPhaseIdx, 0.0701);
+        fineMaterialParams_.setResidSat(gPhaseIdx, 0.0101);
+
+        coarseMaterialParams_.setResidSat(wPhaseIdx, 0.1201);
+        coarseMaterialParams_.setResidSat(nPhaseIdx, 0.0701);
+        coarseMaterialParams_.setResidSat(gPhaseIdx, 0.0101);
+#endif
+
+        // initialize parameters for the heat conduction law
+        computeHeatCondParams_(heatCondParams_, finePorosity_);
+
+        initInjectFluidState_();
+    }
+
+    /*!
+     * \name Auxiliary methods
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::shouldWriteRestartFile
+     *
+     * This problem writes a restart file after every time step.
+     */
+    bool shouldWriteRestartFile() const
+    { return true; }
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    {
+        static std::string tmp = std::string("cuvette_")+this->model().name();
+        return tmp.c_str();
+    }
+
+    //! \}
+
+    /*!
+     * \name Soil parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return 293.15; /* [K] */ }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineK_;
+        return coarseK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return finePorosity_;
+        else
+            return coarsePorosity_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineMaterialParams_;
+        else
+            return coarseMaterialParams_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatConductionParams
+     */
+    template <class Context>
+    const HeatConductionLawParams&
+    heatConductionParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return heatCondParams_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatCapacitySolid
+     */
+    template <class Context>
+    Scalar heatCapacitySolid(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        return
+            850 // specific heat capacity [J / (kg K)]
+            * 2650; // density of sand [kg/m^3]
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onRightBoundary_(pos)) {
+            Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+
+            initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+            values.setNoFlow();
+        }
+        else  if (onLeftBoundary_(pos))
+        {
+            // injection
+            RateVector molarRate;
+
+            // inject with the same composition as the gas phase of
+            // the injection fluid state
+            Scalar molarInjectionRate = 0.3435; // [mol/(m^2 s)]
+            for (int compIdx = 0; compIdx < numComponents; ++ compIdx)
+                molarRate[conti0EqIdx + compIdx] =
+                    - molarInjectionRate
+                    * injectFluidState_.moleFraction(gPhaseIdx, compIdx);
+
+            // calculate the total mass injection rate [kg / (m^2 s)
+            Scalar massInjectionRate =
+                molarInjectionRate
+                * injectFluidState_.averageMolarMass(gPhaseIdx);
+
+            // set the boundary rate vector
+            values.setMolarRate(molarRate);
+            values.setEnthalpyRate(- injectFluidState_.enthalpy(gPhaseIdx)
+                                   * massInjectionRate); // [J / (m^2 s)]
+        }
+        else
+            values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+
+        initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+        const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+        values.assignMassConservative(fs, matParams, /*inEquilibrium=*/false);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate, const Context &context, int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool isContaminated_(const GlobalPosition &pos) const
+    {
+        return
+            (0.20 <= pos[0]) && (pos[0] <= 0.80)
+            && (0.4 <= pos[1]) && (pos[1] <= 0.65);
+    }
+
+    bool isFineMaterial_(const GlobalPosition &pos) const
+    {
+        if (0.13 <= pos[0] && 1.20 >= pos[0] && 0.32 <= pos[1] && pos[1] <= 0.57)
+            return true;
+        else if (pos[1] <= 0.15 && 1.20 <= pos[0])
+            return true;
+        else return false;
+    }
+
+    template <class FluidState, class Context>
+    void initialFluidState_(FluidState &fs,
+                            const Context &context,
+                            int spaceIdx,
+                            int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        fs.setTemperature(293.0 /*[K]*/);
+
+        Scalar pw = 1e5;
+
+        if(isContaminated_(pos)) {
+            fs.setSaturation(wPhaseIdx, 0.12);
+            fs.setSaturation(nPhaseIdx, 0.07);
+            fs.setSaturation(gPhaseIdx, 1 - 0.12 - 0.07);
+
+            // set the capillary pressures
+            const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+            Scalar pc[numPhases];
+            MaterialLaw::capillaryPressures(pc, matParams, fs);
+            for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx)
+                fs.setPressure(phaseIdx,
+                               pw + (pc[phaseIdx] - pc[wPhaseIdx]));
+
+            // compute the phase compositions
+            typedef Opm::MiscibleMultiPhaseComposition<Scalar, FluidSystem> MMPC;
+            typename FluidSystem::ParameterCache paramCache;
+            MMPC::solve(fs, paramCache, /*setViscosity=*/true, /*setEnthalpy=*/true);
+        }
+        else {
+            fs.setSaturation(wPhaseIdx, 0.12);
+            fs.setSaturation(gPhaseIdx, 1 - fs.saturation(wPhaseIdx));
+            fs.setSaturation(nPhaseIdx, 0);
+
+            // set the capillary pressures
+            const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+            Scalar pc[numPhases];
+            MaterialLaw::capillaryPressures(pc, matParams, fs);
+            for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx)
+                fs.setPressure(phaseIdx,
+                               pw + (pc[phaseIdx] - pc[wPhaseIdx]));
+
+            // compute the phase compositions
+            typedef Opm::MiscibleMultiPhaseComposition<Scalar, FluidSystem> MMPC;
+            typename FluidSystem::ParameterCache paramCache;
+            MMPC::solve(fs, paramCache, /*setViscosity=*/true, /*setEnthalpy=*/true);
+
+            // set the contaminant mole fractions to zero. this is a
+            // little bit hacky...
+            for (int phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx) {
+                fs.setMoleFraction(phaseIdx, NAPLIdx, 0.0);
+
+                if (phaseIdx == nPhaseIdx)
+                    continue;
+
+                Scalar sumx = 0;
+                for (int compIdx = 0; compIdx < numComponents; ++ compIdx)
+                    sumx += fs.moleFraction(phaseIdx, compIdx);
+
+                for (int compIdx = 0; compIdx < numComponents; ++ compIdx)
+                    fs.setMoleFraction(phaseIdx,
+                                       compIdx,
+                                       fs.moleFraction(phaseIdx, compIdx) / sumx);
+            }
+        }
+    }
+
+    void computeHeatCondParams_(HeatConductionLawParams &params, Scalar poro)
+    {
+        Scalar lambdaGranite = 2.8; // [W / (K m)]
+
+        // create a Fluid state which has all phases present
+        Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+        fs.setTemperature(293.15);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            fs.setPressure(phaseIdx, 1.0135e5);
+        }
+
+        typename FluidSystem::ParameterCache paramCache;
+        paramCache.updateAll(fs);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            Scalar rho = FluidSystem::density(fs, paramCache, phaseIdx);
+            fs.setDensity(phaseIdx, rho);
+        }
+
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            Scalar lambdaSaturated;
+            if (FluidSystem::isLiquid(phaseIdx)) {
+                Scalar lambdaFluid =
+                    FluidSystem::thermalConductivity(fs, paramCache, phaseIdx);
+                lambdaSaturated = std::pow(lambdaGranite, (1-poro)) + std::pow(lambdaFluid, poro);
+            }
+            else
+                lambdaSaturated = std::pow(lambdaGranite, (1-poro));
+
+            params.setFullySaturatedLambda(phaseIdx, lambdaSaturated);
+            if (!FluidSystem::isLiquid(phaseIdx))
+                params.setVacuumLambda(lambdaSaturated);
+        }
+    }
+
+    void initInjectFluidState_()
+    {
+        injectFluidState_.setTemperature(383.0); // [K]
+        injectFluidState_.setPressure(gPhaseIdx, 1e5); // [Pa]
+        injectFluidState_.setSaturation(gPhaseIdx, 1.0); // [-]
+
+        Scalar xgH2O = 0.417;
+        injectFluidState_.setMoleFraction(gPhaseIdx,
+                                          H2OIdx,
+                                          xgH2O); // [-]
+        injectFluidState_.setMoleFraction(gPhaseIdx,
+                                          airIdx,
+                                          1 - xgH2O); // [-]
+        injectFluidState_.setMoleFraction(gPhaseIdx,
+                                          NAPLIdx,
+                                          0.0); // [-]
+
+        // set the specific enthalpy of the gas phase
+        typename FluidSystem::ParameterCache paramCache;
+        paramCache.updatePhase(injectFluidState_, gPhaseIdx);
+
+        Scalar h = FluidSystem::enthalpy(injectFluidState_, paramCache, gPhaseIdx);
+        injectFluidState_.setEnthalpy(gPhaseIdx, h);
+    }
+
+    DimMatrix fineK_;
+    DimMatrix coarseK_;
+
+    Scalar finePorosity_;
+    Scalar coarsePorosity_;
+
+    MaterialLawParams fineMaterialParams_;
+    MaterialLawParams coarseMaterialParams_;
+
+    HeatConductionLawParams heatCondParams_;
+
+    Opm::CompositionalFluidState<Scalar, FluidSystem> injectFluidState_;
+
+    const Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/problems/diffusionproblem.hh

@@ -0,0 +1,321 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::DiffusionProblem
+ */
+#ifndef EWOMS_POWER_INJECTION_PROBLEM_HH
+#define EWOMS_POWER_INJECTION_PROBLEM_HH
+
+#include <ewoms/models/ncp/ncpproperties.hh>
+#include <ewoms/io/cubegridcreator.hh>
+
+#include <opm/material/fluidmatrixinteractions/mp/MpLinearMaterial.hpp>
+#include <opm/material/fluidsystems/H2ON2FluidSystem.hpp>
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/constraintsolvers/ComputeFromReferencePhase.hpp>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class DiffusionProblem;
+
+//////////
+// Specify the properties for the powerInjection problem
+//////////
+namespace Properties {
+
+NEW_TYPE_TAG(DiffusionBaseProblem);
+
+// Set the grid implementation to be used
+SET_TYPE_PROP(DiffusionBaseProblem, Grid, Dune::YaspGrid</*dim=*/1>);
+
+// set the GridCreator property
+SET_TYPE_PROP(DiffusionBaseProblem, GridCreator, CubeGridCreator<TypeTag>);
+
+// Set the problem property
+SET_TYPE_PROP(DiffusionBaseProblem, Problem, Ewoms::DiffusionProblem<TypeTag>);
+
+// Set the fluid system
+SET_PROP(DiffusionBaseProblem, FluidSystem)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+public:
+    typedef Opm::FluidSystems::H2ON2<Scalar> type;
+};
+
+// Set the material Law
+SET_PROP(DiffusionBaseProblem, MaterialLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    typedef Opm::MpLinearMaterial<FluidSystem::numPhases, Scalar> type;
+};
+
+// Enable molecular diffusion for this problem
+SET_BOOL_PROP(DiffusionBaseProblem, EnableDiffusion, true);
+
+// Disable gravity
+SET_BOOL_PROP(DiffusionBaseProblem, EnableGravity, false);
+
+// define the properties specific for the diffusion problem
+SET_SCALAR_PROP(DiffusionBaseProblem, DomainSizeX, 1.0);
+SET_SCALAR_PROP(DiffusionBaseProblem, DomainSizeY, 1.0);
+SET_SCALAR_PROP(DiffusionBaseProblem, DomainSizeZ, 1.0);
+
+SET_INT_PROP(DiffusionBaseProblem, CellsX, 250);
+SET_INT_PROP(DiffusionBaseProblem, CellsY, 1);
+SET_INT_PROP(DiffusionBaseProblem, CellsZ, 1);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(DiffusionBaseProblem, EndTime, 1e6);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(DiffusionBaseProblem, InitialTimeStepSize, 1000);
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ * \brief 1D problem which is driven by molecular diffusion.
+ *
+ * The domain is one meter long and completely filled with gas and
+ * closed on all boundaries. Its left half exhibits a slightly higher
+ * water concentration than the right one. After a while, the
+ * concentration of water will be equilibrate due to molecular
+ * diffusion.
+ */
+template <class TypeTag>
+class DiffusionProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+
+    enum {
+        // number of phases
+        numPhases = FluidSystem::numPhases,
+
+        // phase indices
+        lPhaseIdx = FluidSystem::lPhaseIdx,
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+
+        // component indices
+        H2OIdx = FluidSystem::H2OIdx,
+        N2Idx = FluidSystem::N2Idx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    DiffusionProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        FluidSystem::init();
+
+        temperature_ = 273.15 + 20.0;
+
+        K_ = this->toDimMatrix_(1e-12); // [m^2]
+
+        setupInitialFluidStates_();
+    }
+
+    /*!
+     * \name Auxiliary methods
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "diffusion_" << this->model().name();
+        return oss.str();
+    }
+
+    //! \}
+
+    /*!
+     * \name Soil parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return K_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return 0.35; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return materialParams_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     *
+     * This problem sets no-flow boundaries everywhere.
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    { values.setNoFlow(); }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+        if (onLeftSide_(pos))
+            values.assignNaive(leftInitialFluidState_);
+        else
+            values.assignNaive(rightInitialFluidState_);
+    }
+
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLeftSide_(const GlobalPosition &pos) const
+    { return pos[0] < (this->bboxMin()[0] + this->bboxMax()[0])/2; }
+
+    void setupInitialFluidStates_()
+    {
+        // create the initial fluid state for the left half of the domain
+        leftInitialFluidState_.setTemperature(temperature_);
+
+        Scalar Sl = 0.0;
+        leftInitialFluidState_.setSaturation(lPhaseIdx, Sl);
+        leftInitialFluidState_.setSaturation(gPhaseIdx, 1 - Sl);
+
+        Scalar p = 1e5;
+        leftInitialFluidState_.setPressure(lPhaseIdx, p);
+        leftInitialFluidState_.setPressure(gPhaseIdx, p);
+
+        Scalar xH2O = 0.01;
+        leftInitialFluidState_.setMoleFraction(gPhaseIdx, H2OIdx, xH2O);
+        leftInitialFluidState_.setMoleFraction(gPhaseIdx, N2Idx, 1 - xH2O);
+
+        typedef Opm::ComputeFromReferencePhase<Scalar, FluidSystem> CFRP;
+        typename FluidSystem::ParameterCache paramCache;
+        CFRP::solve(leftInitialFluidState_, paramCache, gPhaseIdx, /*setViscosity=*/false, /*setEnthalpy=*/false);
+
+        // create the initial fluid state for the right half of the domain
+        rightInitialFluidState_.assign(leftInitialFluidState_);
+        xH2O = 0.0;
+        rightInitialFluidState_.setMoleFraction(gPhaseIdx, H2OIdx, xH2O);
+        rightInitialFluidState_.setMoleFraction(gPhaseIdx, N2Idx, 1 - xH2O);
+        CFRP::solve(rightInitialFluidState_, paramCache, gPhaseIdx, /*setViscosity=*/false, /*setEnthalpy=*/false);
+
+    }
+
+    DimMatrix K_;
+    MaterialLawParams materialParams_;
+
+    Opm::CompositionalFluidState<Scalar, FluidSystem> leftInitialFluidState_;
+    Opm::CompositionalFluidState<Scalar, FluidSystem> rightInitialFluidState_;
+    Scalar temperature_;
+};
+
+} //end namespace
+
+#endif

tests/models/problems/fingergridcreator.hh

@@ -0,0 +1,384 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::FingerGridCreator
+ */
+#ifndef EWOMS_FINGER_GRID_CREATOR_HH
+#define EWOMS_FINGER_GRID_CREATOR_HH
+
+#include <ewoms/parallel/mpihelper.hh>
+#include <ewoms/common/propertysystem.hh>
+#include <ewoms/common/parametersystem.hh>
+
+#if HAVE_ALUGRDID
+#include <dune/grid/alugrid.hh>
+#else
+#include <dune/grid/yaspgrid.hh>
+#endif
+#include <dune/common/fvector.hh>
+
+#include <vector>
+
+namespace Ewoms
+{
+// some hacky defines for the grid creator
+#define FINGER_DIM 2
+#define FINGER_CUBES 1
+
+template <class TypeTag>
+class FingerProblem;
+
+//////////
+// Specify the properties for the finger problem
+//////////
+namespace Properties
+{
+// declare the properties required by the for the finger grid creator
+NEW_PROP_TAG(Grid);
+NEW_PROP_TAG(Scalar);
+
+NEW_PROP_TAG(DomainSizeX);
+NEW_PROP_TAG(DomainSizeY);
+NEW_PROP_TAG(DomainSizeZ);
+
+NEW_PROP_TAG(CellsX);
+NEW_PROP_TAG(CellsY);
+NEW_PROP_TAG(CellsZ);
+
+NEW_PROP_TAG(GridGlobalRefinements);
+}
+
+/*!
+ * \brief Helper class for grid instantiation of the finger problem.
+ */
+#if HAVE_ALUGRDID
+template <class TypeTag>
+class FingerGridCreator
+{
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    enum { dim = FINGER_DIM };
+
+public:
+    typedef Dune::ALUGrid<LENS_DIM, LENS_DIM, Dune::cube, Dune::nonconforming> Grid;
+
+    /*!
+     * \brief Register all run-time parameters for the grid creator.
+     */
+    static void registerParameters()
+    {
+        REGISTER_PARAM(TypeTag, unsigned, GridGlobalRefinements, "The number of global refinements of the grid executed after it was loaded");
+        REGISTER_PARAM(TypeTag, Scalar, DomainSizeX, "The size of the domain in x direction");
+        REGISTER_PARAM(TypeTag, int, CellsX, "The number of intervalls in x direction");
+        if (dim > 1) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeY, "The size of the domain in y direction");
+            REGISTER_PARAM(TypeTag, int, CellsY, "The number of intervalls in y direction");
+        }
+        if (dim > 2) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeZ, "The size of the domain in z direction");
+            REGISTER_PARAM(TypeTag, int, CellsZ, "The number of intervalls in z direction");
+        }
+    }
+
+    /*!
+     * \brief Create the grid for the finger problem
+     */
+    static void makeGrid()
+    {
+        grid_ = new Grid;
+
+        Dune::FieldVector<int, dim> cellRes;
+        Dune::FieldVector<Scalar, dim> upperRight;
+        Dune::FieldVector<Scalar, dim> lowerLeft;
+
+        lowerLeft = 0.0;
+        upperRight[0] = GET_PARAM(TypeTag, Scalar, DomainSizeX);
+        upperRight[1] = GET_PARAM(TypeTag, Scalar, DomainSizeY);
+
+        cellRes[0] = GET_PARAM(TypeTag, int, CellsX);
+        cellRes[1] = GET_PARAM(TypeTag, int, CellsY);
+        if (dim == 3) {
+            upperRight[2] = GET_PARAM(TypeTag, Scalar, DomainSizeZ);
+            cellRes[2] = GET_PARAM(TypeTag, int, CellsZ);
+        }
+
+        unsigned numRefinments = GET_PARAM(TypeTag, unsigned, GridGlobalRefinements);
+
+        Dune::GridFactory<Grid> factory(grid_);
+
+        if (dim == 3) {
+            Dune::FieldVector<double,dim> pos;
+            for (int k = 0; k <= cellRes[0]; k++) {
+                pos[2] = upperRight[2]*double(k)/cellRes[2];
+
+                for (int j = 0; j <= cellRes[1]; j++) {
+                    pos[1] = upperRight[1]*double(j)/cellRes[1];
+
+                    for (int i = 0; i <= cellRes[0]; i++) {
+                        pos[0] = upperRight[0]*double(i)/cellRes[0];
+                        factory.insertVertex(pos);
+                    }
+                }
+            }
+        }
+        else {
+            assert(dim == 2);
+            Dune::FieldVector<double,dim> pos;
+            for (int j = 0; j <= cellRes[1]; j++) {
+                pos[1] = upperRight[1]*double(j)/cellRes[1];
+
+                for (int i = 0; i <= cellRes[0]; i++) {
+                    pos[0] = upperRight[0]*double(i)/cellRes[0];
+                    factory.insertVertex(pos);
+                }
+            }
+        }
+
+        for (int i = 0; i < cellRes[0]; ++i) {
+            for (int j = 0; j < cellRes[1]; ++j) {
+#if FINGER_CUBES
+                std::vector<unsigned int> v(1 << dim);
+#else
+                std::vector<unsigned int> v(dim + 1);
+#endif
+                if (dim == 3) {
+                    int m = cellRes[0] + 1;
+                    int n = cellRes[1] + 1;
+                    for (int k = 0; k < cellRes[2]; ++k) {
+                        int i0 = k*m*n + j*m + i;
+                        int i1 = k*m*n + j*m + (i+1);
+                        int i2 = k*m*n + (j+1)*m + i;
+                        int i3 = k*m*n + (j+1)*m + (i+1);
+                        int i4 = (k+1)*m*n + j*m + i;
+                        int i5 = (k+1)*m*n + j*m + (i+1);
+                        int i6 = (k+1)*m*n + (j+1)*m + i;
+                        int i7 = (k+1)*m*n + (j+1)*m + (i+1);
+
+#if FINGER_CUBES
+                        v[0] = i0;
+                        v[1] = i1;
+                        v[2] = i2;
+                        v[3] = i3;
+                        v[4] = i4;
+                        v[5] = i5;
+                        v[6] = i6;
+                        v[7] = i7;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::cube,3), v);
+
+#else
+                        v[0] = i0;
+                        v[1] = i1;
+                        v[2] = i2;
+                        v[3] = i4;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i4;
+                        v[1] = i5;
+                        v[2] = i6;
+                        v[3] = i2;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i2;
+                        v[1] = i5;
+                        v[2] = i4;
+                        v[3] = i1;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i2;
+                        v[1] = i3;
+                        v[2] = i7;
+                        v[3] = i5;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i5;
+                        v[1] = i7;
+                        v[2] = i6;
+                        v[3] = i2;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i1;
+                        v[1] = i3;
+                        v[2] = i5;
+                        v[3] = i2;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+#endif
+                    }
+                }
+                else {
+                    assert(dim == 2);
+
+                    int m = cellRes[0] + 1;
+                    int i0 = j*m + i;
+                    int i1 = j*m + (i+1);
+                    int i2 = (j+1)*m + i;
+                    int i3 = (j+1)*m + (i+1);
+#if FINGER_CUBES
+                    v[0] = i0;
+                    v[1] = i1;
+                    v[2] = i2;
+                    v[3] = i3;
+                    factory.insertElement(Dune::GeometryType(Dune::GeometryType::cube,2), v);
+#else
+                    v[0] = i0;
+                    v[1] = i1;
+                    v[2] = i2;
+                    factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,2), v);
+
+                    v[0] = i1;
+                    v[1] = i3;
+                    v[2] = i2;
+                    factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,2), v);
+#endif
+                }
+            }
+        }
+
+        grid_ = factory.createGrid();
+        grid_->globalRefine(numRefinments);
+    }
+
+    /*!
+     * \brief Return a reference to the grid.
+     */
+    static Grid &grid()
+    { return *grid_; }
+
+    /*!
+     * \brief Distribute the grid (and attached data) over all
+     *        processes.
+     */
+    static void loadBalance()
+    { grid_->loadBalance(); }
+
+    /*!
+     * \brief Destroy the grid.
+     *
+     * This is required to guarantee that the grid is deleted before
+     * MPI_Comm_free is called.
+     */
+    static void deleteGrid()
+    { delete grid_; }
+
+private:
+    static Grid *grid_;
+};
+
+template <class TypeTag>
+typename FingerGridCreator<TypeTag>::Grid *FingerGridCreator<TypeTag>::grid_;
+
+#else // ! HAVE_ALUGRDID
+
+template <class TypeTag>
+class FingerGridCreator
+{
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    enum { dim = FINGER_DIM };
+
+public:
+    typedef Dune::YaspGrid<FINGER_DIM> Grid;
+
+    /*!
+     * \brief Register all run-time parameters for the grid creator.
+     */
+    static void registerParameters()
+    {
+        REGISTER_PARAM(TypeTag, unsigned, GridGlobalRefinements, "The number of global refinements of the grid executed after it was loaded");
+        REGISTER_PARAM(TypeTag, Scalar, DomainSizeX, "The size of the domain in x direction");
+        REGISTER_PARAM(TypeTag, int, CellsX, "The number of intervalls in x direction");
+        if (dim > 1) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeY, "The size of the domain in y direction");
+            REGISTER_PARAM(TypeTag, int, CellsY, "The number of intervalls in y direction");
+        }
+        if (dim > 2) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeZ, "The size of the domain in z direction");
+            REGISTER_PARAM(TypeTag, int, CellsZ, "The number of intervalls in z direction");
+        }
+    }
+
+    /*!
+     * \brief Create the grid for the finger problem
+     */
+    static void makeGrid()
+    {
+        Dune::FieldVector<int, FINGER_DIM> cellRes;
+        Dune::FieldVector<Scalar, FINGER_DIM> upperRight;
+        Dune::FieldVector<Scalar, FINGER_DIM> lowerLeft;
+
+        grid_ = 0;
+
+        lowerLeft[1] = 0.0;
+        upperRight[0] = GET_PARAM(TypeTag, Scalar, DomainSizeX);
+        upperRight[1] = GET_PARAM(TypeTag, Scalar, DomainSizeY);
+
+        cellRes[0] = GET_PARAM(TypeTag, int, CellsX);
+        cellRes[1] = GET_PARAM(TypeTag, int, CellsY);
+        if (dim == 3) {
+            upperRight[2] = GET_PARAM(TypeTag, Scalar, DomainSizeZ);
+            cellRes[2] = GET_PARAM(TypeTag, int, CellsZ);
+        }
+
+        unsigned numRefinments = GET_PARAM(TypeTag, unsigned, GridGlobalRefinements);
+
+        grid_ = new Dune::YaspGrid<FINGER_DIM>(
+#ifdef HAVE_MPI
+            Dune::MPIHelper::getCommunicator(),
+#endif
+            upperRight, // upper right
+            cellRes, // number of cells
+            Dune::FieldVector<bool,FINGER_DIM>(false), // periodic
+            0); // overlap
+        grid_->globalRefine(numRefinments);
+    }
+
+    /*!
+     * \brief Return a reference to the grid.
+     */
+    static Grid &grid()
+    { return *grid_; }
+
+    /*!
+     * \brief Distribute the grid (and attached data) over all
+     *        processes.
+     */
+    static void loadBalance()
+    { grid_->loadBalance(); }
+
+    /*!
+     * \brief Destroy the grid
+     *
+     * This is required to guarantee that the grid is deleted before
+     * MPI_Comm_free is called.
+     */
+    static void deleteGrid()
+    { delete grid_; }
+
+private:
+    static Grid *grid_;
+};
+
+template <class TypeTag>
+Dune::YaspGrid<FINGER_DIM> *FingerGridCreator<TypeTag>::grid_;
+
+#endif // HAVE_ALUGRDID
+
+}
+
+#endif

tests/models/problems/fingerproblem.hh

@@ -0,0 +1,482 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2010-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::FingerProblem
+ */
+#ifndef EWOMS_FINGER_PROBLEM_HH
+#define EWOMS_FINGER_PROBLEM_HH
+
+#include "fingergridcreator.hh"
+
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/ParkerLenhard.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+
+#include <opm/material/fluidsystems/2pImmiscibleFluidSystem.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/components/SimpleH2O.hpp>
+#include <opm/material/components/Air.hpp>
+
+#include <ewoms/models/immiscible/immiscibleproperties.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <vector>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class FingerProblem;
+
+//////////
+// Specify the properties for the finger problem
+//////////
+namespace Properties {
+NEW_TYPE_TAG(FingerBaseProblem);
+
+// set the GridCreator property
+SET_TYPE_PROP(FingerBaseProblem, GridCreator, FingerGridCreator<TypeTag>);
+
+// Retrieve the grid type from the grid creator
+SET_TYPE_PROP(FingerBaseProblem, Grid, typename GET_PROP_TYPE(TypeTag, GridCreator)::Grid);
+
+// declare the properties specific for the finger problem
+NEW_PROP_TAG(InitialWaterSaturation);
+
+// Set the problem property
+SET_TYPE_PROP(FingerBaseProblem, Problem, Ewoms::FingerProblem<TypeTag>);
+
+// Set the wetting phase
+SET_PROP(FingerBaseProblem, WettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
+};
+
+// Set the non-wetting phase
+SET_PROP(FingerBaseProblem, NonwettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::GasPhase<Scalar, Opm::Air<Scalar> > type;
+};
+
+// Set the material Law
+SET_PROP(FingerBaseProblem, MaterialLaw)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    // use the parker-lenhard hysteresis law
+    typedef Opm::ParkerLenhard<Scalar> TwoPMaterialLaw;
+    typedef Opm::ParkerLenhard<Scalar> ParkerLenhard;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+
+    typedef Opm::TwoPAdapter<wPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Enable partial reassembly of the jacobian matrix?
+//SET_BOOL_PROP(FingerBaseProblem, EnablePartialReassemble, true);
+
+// Enable reuse of jacobian matrices?
+//SET_BOOL_PROP(FingerBaseProblem, EnableJacobianRecycling, true);
+
+// Write the solutions of individual newton iterations?
+SET_BOOL_PROP(FingerBaseProblem, NewtonWriteConvergence, false);
+
+// Use forward differences instead of central differences
+SET_INT_PROP(FingerBaseProblem, NumericDifferenceMethod, +1);
+
+// Enable smooth upwinding
+SET_INT_PROP(FingerBaseProblem, EnableSmoothUpwinding, true);
+
+// Enable constraints
+SET_INT_PROP(FingerBaseProblem, EnableConstraints, true);
+
+// Enable gravity
+SET_BOOL_PROP(FingerBaseProblem, EnableGravity, true);
+
+// define the properties specific for the finger problem
+SET_SCALAR_PROP(FingerBaseProblem, DomainSizeX, 0.1);
+SET_SCALAR_PROP(FingerBaseProblem, DomainSizeY, 0.3);
+SET_SCALAR_PROP(FingerBaseProblem, DomainSizeZ, 0.1);
+
+SET_SCALAR_PROP(FingerBaseProblem, InitialWaterSaturation, 0.01);
+
+SET_INT_PROP(FingerBaseProblem, CellsX, 20);
+SET_INT_PROP(FingerBaseProblem, CellsY, 70);
+SET_INT_PROP(FingerBaseProblem, CellsZ, 1);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(FingerBaseProblem, EndTime, 1e3);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(FingerBaseProblem, InitialTimeStepSize, 10);
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Two-phase problem featuring some gravity-driven saturation
+ *        fingers.
+ *
+ * The domain of this problem is sized 10cm times 1m and is initially
+ * dry. Water is then injected at three locations on the top of the
+ * domain which leads to gravity fingering. The boundary conditions
+ * used are no-flow for the left and right and top of the domain and
+ * free-flow at the bottom. This problem uses the Parker-Lenhard
+ * hystersis model which might lead to non-monotonic saturation in the
+ * fingers if the right material parameters is chosen and the spatial
+ * discretization is fine enough.
+ */
+template <class TypeTag>
+class FingerProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+//!\cond SKIP_THIS
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, WettingPhase) WettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, NonwettingPhase) NonwettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+
+    enum {
+        // number of phases
+
+        // phase indices
+        wPhaseIdx = FluidSystem::wPhaseIdx,
+        nPhaseIdx = FluidSystem::nPhaseIdx,
+
+        // equation indices
+        contiWEqIdx = Indices::conti0EqIdx + wPhaseIdx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, ElementContext) ElementContext;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+
+    typedef typename GET_PROP(TypeTag, MaterialLaw)::ParkerLenhard ParkerLenhard;
+
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+//!\endcond
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    FingerProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 3e-6;
+        FluidSystem::init();
+
+        temperature_ = 273.15 + 20; // -> 20°C
+    }
+
+    /*!
+     * \name Auxiliary methods
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    { return std::string("finger_")+this->model().name(); }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::registerParameters
+     */
+    static void registerParameters()
+    {
+        ParentType::registerParameters();
+
+        REGISTER_PARAM(TypeTag, Scalar, InitialWaterSaturation, "The initial saturation in the domain [] of the wetting phase");
+    }
+
+    /*!
+     * \copydoc VcfvProblem::init
+     */
+    void init()
+    {
+
+        // parameters for the Van Genuchten law of the main imbibition
+        // and the main drainage curves.
+        micParams_.setVgAlpha(0.0037);
+        micParams_.setVgN(4.7);
+
+        mdcParams_.setVgAlpha(0.0037);
+        mdcParams_.setVgN(4.7);
+
+        // initialize the material parameter objects of the individual
+        // finite volumes
+        int n = GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView().size(dimWorld);
+        materialParams_.resize(n);
+        for (int i = 0; i < n; ++i) {
+            materialParams_[i].setMicParams(&micParams_);
+            materialParams_[i].setMdcParams(&mdcParams_);
+            materialParams_[i].setSwr(0.0);
+            materialParams_[i].setSnr(0.1);
+            ParkerLenhard::reset(materialParams_[i]);
+        }
+
+        K_ = this->toDimMatrix_(4.6e-10);
+
+        setupInitialFluidState_();
+
+        ParentType::init();
+    }
+
+    /*!
+     * \copydoc VcfvProblem::postTimeStep
+     */
+    void postTimeStep()
+    {
+        // update the history of the hysteresis law
+        ElementContext elemCtx(*this);
+
+        auto elemIt = this->gridView().template begin<0>();
+        const auto &elemEndIt = this->gridView().template end<0>();
+        for (; elemIt != elemEndIt; ++elemIt)
+        {
+            elemCtx.updateAll(*elemIt);
+            for (int scvIdx = 0; scvIdx < elemCtx.numScv(); ++scvIdx) {
+                int globalIdx = elemCtx.globalSpaceIndex(scvIdx, /*timeIdx=*/0);
+                const auto &fs = elemCtx.volVars(scvIdx, /*timeIdx=*/0).fluidState();
+                ParkerLenhard::update(materialParams_[globalIdx],
+                                      fs.saturation(wPhaseIdx));
+            }
+        }
+    }
+
+    //! \}
+
+
+    /*!
+     * \name Soil parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return K_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+     template <class Context>
+     Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+     { return 0.4; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        int globalSpaceIdx = context.globalSpaceIndex(spaceIdx, timeIdx);
+        return materialParams_[globalSpaceIdx];
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.cvCenter(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos) || onRightBoundary_(pos) || onLowerBoundary_(pos)) {
+            values.setNoFlow();
+        }
+        else {
+            assert(onUpperBoundary_(pos));
+
+            values.setFreeFlow(context, spaceIdx, timeIdx, initialFluidState_);
+        };
+
+        // override the value for the liquid phase by forced
+        // imbibition of water on inlet boundary segments
+        if (onInlet_(pos)) {
+            values[contiWEqIdx] = - 0.001; // [kg/(m^2 s)]
+        }
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        // assign the primary variables
+        values.assignNaive(initialFluidState_);
+    }
+
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onUpperBoundary_(pos) && !onInlet_(pos)) {
+            constraints.setAllConstraint();
+            constraints.assignNaive(initialFluidState_);
+        }
+        else if (onLowerBoundary_(pos)) {
+            constraints.setAllConstraint();
+            constraints.assignNaive(initialFluidState_);
+        }
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    {
+        Scalar width = this->bboxMax()[0] - this->bboxMin()[0];
+        Scalar lambda = (this->bboxMax()[0] - pos[0])/width;
+
+        if (!onUpperBoundary_(pos))
+            return false;
+
+        Scalar xInject[] = { 0.25, 0.75 };
+        Scalar injectLen[] = { 0.1, 0.1 };
+        for (unsigned i = 0; i < sizeof(xInject)/sizeof(Scalar); ++ i) {
+            if (xInject[i] - injectLen[i]/2 < lambda &&  lambda < xInject[i] + injectLen[i]/2)
+                return true;
+        }
+        return false;
+    }
+
+    void setupInitialFluidState_()
+    {
+        auto &fs = initialFluidState_;
+        fs.setPressure(wPhaseIdx, /*pressure=*/1e5);
+
+        Scalar Sw = GET_PARAM(TypeTag, Scalar, InitialWaterSaturation);
+        fs.setSaturation(wPhaseIdx, Sw);
+        fs.setSaturation(nPhaseIdx, 1 - Sw);
+
+        fs.setTemperature(temperature_);
+
+        // set the absolute pressures
+        Scalar pn = 1e5;
+        fs.setPressure(nPhaseIdx, pn);
+        fs.setPressure(wPhaseIdx, pn);
+    }
+
+    DimMatrix K_;
+
+    typename MaterialLawParams::VanGenuchtenParams micParams_;
+    typename MaterialLawParams::VanGenuchtenParams mdcParams_;
+
+    std::vector<MaterialLawParams> materialParams_;
+
+    Opm::ImmiscibleFluidState<Scalar, FluidSystem> initialFluidState_;
+
+    Scalar temperature_;
+    Scalar eps_;
+};
+
+} //end namespace
+
+#endif

tests/models/problems/fractureproblem.hh

@@ -0,0 +1,572 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::FractureProblem
+ */
+#ifndef EWOMS_FRACTURE_PROBLEM_HH
+#define EWOMS_FRACTURE_PROBLEM_HH
+
+#include <ewoms/parallel/mpihelper.hh>
+#include <dune/grid/alugrid.hh>
+
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedBrooksCorey.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+#include <opm/material/heatconduction/Somerton.hpp>
+#include <opm/material/fluidsystems/2pImmiscibleFluidSystem.hpp>
+#include <opm/material/components/SimpleH2O.hpp>
+#include <opm/material/components/Dnapl.hpp>
+#include <ewoms/io/artgridcreator.hh>
+
+#include <ewoms/models/discretefracture/discretefracturemodel.hh>
+
+#include <dune/common/fmatrix.hh>
+#include <dune/common/fvector.hh>
+
+#include <iostream>
+#include <sstream>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class FractureProblem;
+
+namespace Properties {
+// Create a type tag for the problem
+NEW_TYPE_TAG(FractureProblem, INHERITS_FROM(VcfvDiscreteFracture));
+
+// Set the GridCreator property
+SET_TYPE_PROP(FractureProblem, GridCreator, Ewoms::ArtGridCreator<TypeTag>);
+
+// Set the grid type
+SET_TYPE_PROP(FractureProblem,
+              Grid,
+              Dune::ALUGrid</*dim=*/2, /*dimWorld=*/2, Dune::simplex, Dune::nonconforming>);
+
+// Set the problem property
+SET_TYPE_PROP(FractureProblem, Problem, Ewoms::FractureProblem<TypeTag>);
+
+// Set the wetting phase
+SET_PROP(FractureProblem, WettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
+};
+
+// Set the non-wetting phase
+SET_PROP(FractureProblem, NonwettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::DNAPL<Scalar> > type;
+};
+
+// Set the material Law
+SET_PROP(FractureProblem, MaterialLaw)
+{
+private:
+    // define the material law which is parameterized by effective
+    // saturations
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Opm::RegularizedBrooksCorey<Scalar> EffectiveLaw;
+    //typedef RegularizedVanGenuchten<Scalar> EffectiveLaw;
+    //typedef LinearMaterial<Scalar> EffectiveLaw;
+    //typedef EffToAbsLaw<EffectiveLaw> TwoPMaterialLaw;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+    typedef Opm::EffToAbsLaw<EffectiveLaw> TwoPMaterialLaw;
+
+public:
+    typedef Opm::TwoPAdapter<wPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Enable the energy equation
+SET_BOOL_PROP(FractureProblem, EnableEnergy, true);
+
+// Set the heat conduction law
+SET_PROP(FractureProblem, HeatConductionLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    // define the material law parameterized by absolute saturations
+    typedef Opm::Somerton<FluidSystem, Scalar> type;
+};
+
+// Disable gravity
+SET_BOOL_PROP(FractureProblem, EnableGravity, false);
+
+// For this problem, we use constraints to specify the left boundary
+SET_BOOL_PROP(FractureProblem, EnableConstraints, true);
+
+// Set the default value for the file name of the grid
+SET_STRING_PROP(FractureProblem, GridFile, "grids/fracture.art");
+
+// Set the default value for the end time
+SET_SCALAR_PROP(FractureProblem, EndTime, 1e6);
+
+// Set the default value for the initial time step size
+SET_SCALAR_PROP(FractureProblem, InitialTimeStepSize, 100);
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Two-phase problem which involves fractures
+ *
+ * The domain is initially completely saturated by the oil phase,
+ * except for the left side, which is fully water saturated. Since the
+ * capillary pressure in the fractures is lower than in the rock
+ * matrix and the material is hydrophilic, water infiltrates through
+ * the fractures and gradually pushes the oil out on the right side,
+ * where the pressure is kept constant.
+ */
+template <class TypeTag >
+class FractureProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, WettingPhase) WettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, NonwettingPhase) NonwettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+    typedef typename GET_PROP_TYPE(TypeTag, EqVector) EqVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLawParams) HeatConductionLawParams;
+
+    enum {
+        // phase indices
+        wPhaseIdx = MaterialLaw::wPhaseIdx,
+        nPhaseIdx = MaterialLaw::nPhaseIdx,
+
+        // number of phases
+        numPhases = FluidSystem::numPhases,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef Opm::ImmiscibleFluidState<Scalar, FluidSystem> FluidState;
+
+    typedef Dune::FieldVector<Scalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+    template<int dim>
+    struct FaceLayout
+    {
+        bool contains (Dune::GeometryType gt)
+        { return gt.dim() == dim - 1; }
+    };
+    typedef Dune::MultipleCodimMultipleGeomTypeMapper<GridView, FaceLayout> FaceMapper;
+
+    typedef Ewoms::FractureMapper<TypeTag> FractureMapper;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    FractureProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 3e-6;
+        temperature_ = 273.15 + 20; // -> 20°C
+
+        matrixMaterialParams_.setSwr(0.0);
+        matrixMaterialParams_.setSnr(0.0);
+        fractureMaterialParams_.setSwr(0.0);
+        fractureMaterialParams_.setSnr(0.0);
+
+#if 0 // linear
+        matrixMaterialParams_.setEntryPC(0.0);
+        matrixMaterialParams_.setMaxPC(2000.0);
+        fractureMaterialParams_.setEntryPC(0.0);
+        fractureMaterialParams_.setMaxPC(1000.0);
+#endif
+
+#if 1 // Brooks-Corey
+        matrixMaterialParams_.setPe(2000);
+        matrixMaterialParams_.setLambda(2.0);
+        matrixMaterialParams_.setThresholdSw(1e-1);
+        fractureMaterialParams_.setPe(1000);
+        fractureMaterialParams_.setLambda(2.0);
+        fractureMaterialParams_.setThresholdSw(5e-2);
+#endif
+
+#if 0 // van Genuchten
+        matrixMaterialParams_.setVgAlpha(0.0037);
+        matrixMaterialParams_.setVgN(4.7);
+        fractureMaterialParams_.setVgAlpha(0.0025);
+        fractureMaterialParams_.setVgN(4.7);
+#endif
+
+        matrixK_ = this->toDimMatrix_(1e-15); //m^2
+        fractureK_ = this->toDimMatrix_(1e5*1e-15); //m^2
+
+        matrixPorosity_ = 0.10;
+        fracturePorosity_ = 0.25;
+        fractureWidth_ = 1e-3; // [m]
+
+        // parameters for the somerton law of heat conduction
+        computeHeatCondParams_(heatCondParams_, matrixPorosity_);
+    }
+
+    /*!
+     * \name Auxiliary methods
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "fracture_" << this->model().name();
+        return oss.str();
+    }
+
+    /*!
+     * \brief Called directly after the time integration.
+     */
+    void postTimeStep()
+    {
+        // Calculate storage terms
+        EqVector storage;
+        this->model().globalStorage(storage);
+
+        // Process with rank 0 informs about the total masses of all
+        // components inside the domain
+        if (this->gridView().comm().rank() == 0) {
+            std::cout << "Mass in domain: " << storage << std::endl;
+        }
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    // \}
+
+    /*!
+     * \name Soil parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return matrixK_; }
+
+    /*!
+     * \brief Intrinsic permeability of fractures.
+     *
+     * \copydoc Doxygen::contextParams
+     */
+    template <class Context>
+    const DimMatrix &fractureIntrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return fractureK_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return matrixPorosity_; }
+
+    /*!
+     * \brief The porosity inside the fractures.
+     *
+     * \copydoc Doxygen::contextParams
+     */
+    template <class Context>
+    Scalar fracturePorosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return fracturePorosity_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return matrixMaterialParams_; }
+
+    /*!
+     * \brief The parameters for the material law inside the fractures.
+     *
+     * \copydoc Doxygen::contextParams
+     */
+    template <class Context>
+    const MaterialLawParams& fractureMaterialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return fractureMaterialParams_; }
+
+    /*!
+     * \brief Returns the object representating the fracture topology.
+     */
+    const FractureMapper &fractureMapper() const
+    { return GET_PROP_TYPE(TypeTag, GridCreator)::fractureMapper(); }
+
+    /*!
+     * \brief Returns the width of the fracture.
+     *
+     * \todo This method should get one face index instead of two
+     *       vertex indices. This probably requires a new context
+     *       class, though.
+     *
+     * \param context The execution context.
+     * \param spaceIdx1 The local index of the edge's first edge.
+     * \param spaceIdx2 The local index of the edge's second edge.
+     * \param timeIdx The index used by the time discretization.
+     */
+    template <class Context>
+    Scalar fractureWidth(const Context &context, int spaceIdx1, int spaceIdx2, int timeIdx) const
+    { return fractureWidth_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatConductionParams
+     */
+    template <class Context>
+    const HeatConductionLawParams&
+    heatConductionParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return heatCondParams_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatCapacitySolid
+     *
+     * In this case, we assume the rock-matrix to be granite.
+     */
+    template <class Context>
+    Scalar heatCapacitySolid(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        return
+            790 // specific heat capacity of granite [J / (kg K)]
+            * 2700; // density of granite [kg/m^3]
+    }
+
+    // \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    // \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onRightBoundary_(pos))
+        {
+            // on the right boundary, we impose a free-flow
+            // (i.e. Dirichlet) condition
+            FluidState fluidState;
+            fluidState.setTemperature(temperature_);
+
+            fluidState.setSaturation(wPhaseIdx, 0.0);
+            fluidState.setSaturation(nPhaseIdx, 1.0 - fluidState.saturation(wPhaseIdx));
+
+            fluidState.setPressure(wPhaseIdx, 1e5);
+            fluidState.setPressure(nPhaseIdx, fluidState.pressure(wPhaseIdx));
+
+            // set a free flow (i.e. Dirichlet) boundary
+            values.setFreeFlow(context, spaceIdx, timeIdx, fluidState);
+        }
+        else
+            // for the upper, lower and left boundaries, use a no-flow
+            // condition (i.e. a Neumann 0 condition)
+            values.setNoFlow();
+    }
+
+    // \}
+
+    /*!
+     * \name Volume terms
+     */
+    // \{
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (!onLeftBoundary_(pos))
+            // only impose constraints adjacent to the left boundary
+            return;
+
+        int globalIdx = context.globalSpaceIndex(spaceIdx, timeIdx);
+        if (!fractureMapper().isFractureVertex(globalIdx)) {
+            // do not impose constraints if the finite volume does
+            // not contain fractures.
+            return;
+        }
+
+        // if the current finite volume is on the left boundary
+        // and features a fracture, specify the fracture fluid
+        // state.
+        FluidState fractureFluidState;
+        fractureFluidState.setTemperature(temperature_ + 10);
+
+        fractureFluidState.setSaturation(wPhaseIdx, 1.0);
+        fractureFluidState.setSaturation(nPhaseIdx, 1.0 - fractureFluidState.saturation(wPhaseIdx));
+
+        Scalar pCFracture[numPhases];
+        MaterialLaw::capillaryPressures(pCFracture, fractureMaterialParams_, fractureFluidState);
+
+        fractureFluidState.setPressure(wPhaseIdx, /*pressure=*/1e5);
+        fractureFluidState.setPressure(nPhaseIdx, fractureFluidState.pressure(wPhaseIdx) + (pCFracture[nPhaseIdx] - pCFracture[wPhaseIdx]));
+
+        constraints.setAllConstraint();
+        constraints.assignNaiveFromFracture(fractureFluidState, matrixMaterialParams_);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        FluidState fluidState;
+        fluidState.setTemperature(temperature_);
+        fluidState.setPressure(FluidSystem::wPhaseIdx, /*pressure=*/1e5);
+        fluidState.setPressure(nPhaseIdx, fluidState.pressure(wPhaseIdx));
+
+        fluidState.setSaturation(wPhaseIdx, 0.0);
+        fluidState.setSaturation(nPhaseIdx, 1.0 - fluidState.saturation(wPhaseIdx));
+
+        values.assignNaive(fluidState);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    // \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    void computeHeatCondParams_(HeatConductionLawParams &params, Scalar poro)
+    {
+        Scalar lambdaGranite = 2.8; // [W / (K m)]
+
+        // create a Fluid state which has all phases present
+        Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+        fs.setTemperature(293.15);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            fs.setPressure(phaseIdx, 1.0135e5);
+        }
+
+        typename FluidSystem::ParameterCache paramCache;
+        paramCache.updateAll(fs);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            Scalar rho = FluidSystem::density(fs, paramCache, phaseIdx);
+            fs.setDensity(phaseIdx, rho);
+        }
+
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            Scalar lambdaSaturated;
+            if (FluidSystem::isLiquid(phaseIdx)) {
+                Scalar lambdaFluid =
+                    FluidSystem::thermalConductivity(fs, paramCache, phaseIdx);
+                lambdaSaturated = std::pow(lambdaGranite, (1-poro)) + std::pow(lambdaFluid, poro);
+            }
+            else
+                lambdaSaturated = std::pow(lambdaGranite, (1-poro));
+
+            params.setFullySaturatedLambda(phaseIdx, lambdaSaturated);
+        }
+
+        Scalar lambdaVac = std::pow(lambdaGranite, (1-poro));
+        params.setVacuumLambda(lambdaVac);
+    }
+
+    DimMatrix matrixK_;
+    DimMatrix fractureK_;
+
+    Scalar matrixPorosity_;
+    Scalar fracturePorosity_;
+
+    Scalar fractureWidth_;
+
+    MaterialLawParams fractureMaterialParams_;
+    MaterialLawParams matrixMaterialParams_;
+
+    HeatConductionLawParams heatCondParams_;
+
+    Scalar temperature_;
+    Scalar eps_;
+};
+} //end namespace
+
+#endif // EWOMS_FRACTURE_PROBLEM_HH

tests/models/problems/groundwaterproblem.hh

@@ -0,0 +1,320 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::GroundWaterProblem
+ */
+#ifndef EWOMS_GROUND_WATER_PROBLEM_HH
+#define EWOMS_GROUND_WATER_PROBLEM_HH
+
+#include <ewoms/linear/paralleliterativebackend.hh>
+#include <ewoms/models/immiscible/immiscibleproperties.hh>
+
+#include <opm/material/components/SimpleH2O.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/fluidsystems/LiquidPhase.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fmatrix.hh>
+#include <dune/common/fvector.hh>
+
+#include <sstream>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class GroundWaterProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(GroundWaterBaseProblem);
+
+NEW_PROP_TAG(LensLowerLeftX);
+NEW_PROP_TAG(LensLowerLeftY);
+NEW_PROP_TAG(LensLowerLeftZ);
+NEW_PROP_TAG(LensUpperRightX);
+NEW_PROP_TAG(LensUpperRightY);
+NEW_PROP_TAG(LensUpperRightZ);
+NEW_PROP_TAG(Permeability);
+NEW_PROP_TAG(PermeabilityLens);
+
+SET_PROP(GroundWaterBaseProblem, Fluid)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
+};
+
+// Set the grid type
+SET_TYPE_PROP(GroundWaterBaseProblem, Grid, Dune::YaspGrid<2>);
+//SET_TYPE_PROP(GroundWaterBaseProblem, Grid, Dune::SGrid<2, 2>);
+
+SET_TYPE_PROP(GroundWaterBaseProblem, Problem, Ewoms::GroundWaterProblem<TypeTag>);
+
+SET_SCALAR_PROP(GroundWaterBaseProblem, LensLowerLeftX, 0.25);
+SET_SCALAR_PROP(GroundWaterBaseProblem, LensLowerLeftY, 0.25);
+SET_SCALAR_PROP(GroundWaterBaseProblem, LensLowerLeftZ, 0.25);
+SET_SCALAR_PROP(GroundWaterBaseProblem, LensUpperRightX, 0.75);
+SET_SCALAR_PROP(GroundWaterBaseProblem, LensUpperRightY, 0.75);
+SET_SCALAR_PROP(GroundWaterBaseProblem, LensUpperRightZ, 0.75);
+SET_SCALAR_PROP(GroundWaterBaseProblem, Permeability, 1e-10);
+SET_SCALAR_PROP(GroundWaterBaseProblem, PermeabilityLens, 1e-12);
+// Linear solver settings
+SET_TYPE_PROP(GroundWaterBaseProblem, LinearSolverWrapper, Ewoms::Linear::SolverWrapperConjugatedGradients<TypeTag> );
+SET_TYPE_PROP(GroundWaterBaseProblem, PreconditionerWrapper, Ewoms::Linear::PreconditionerWrapperILU<TypeTag> );
+SET_INT_PROP(GroundWaterBaseProblem, LinearSolverVerbosity, 0);
+
+// Enable gravity
+SET_BOOL_PROP(GroundWaterBaseProblem, EnableGravity, true);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(GroundWaterBaseProblem, EndTime, 1);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(GroundWaterBaseProblem, InitialTimeStepSize, 1);
+
+// The default DGF file to load
+SET_STRING_PROP(GroundWaterBaseProblem, GridFile, "./grids/groundwater_2d.dgf");
+
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Test for the immisicible VCVF discretization with only a single phase
+ *
+ * This problem is inspired by groundwater flow. Don't expect it to be
+ * realistic, though: For two dimensions, the domain size is 1m times
+ * 1m. On the left and right of the domain, no-flow boundaries are
+ * used, while at the top and bottom free flow boundaries with a
+ * pressure of 2 bar and 1 bar are used. The center of the domain is
+ * occupied by a rectangular lens of lower permeability.
+ */
+template <class TypeTag>
+class GroundWaterProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    // copy some indices for convenience
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    enum {
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld,
+
+        // indices of the primary variables
+        pressure0Idx = Indices::pressure0Idx
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    GroundWaterProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 1.0e-3;
+
+        lensLowerLeft_[0] = GET_PARAM(TypeTag, Scalar, LensLowerLeftX);
+        if (dim > 1)
+            lensLowerLeft_[1] = GET_PARAM(TypeTag, Scalar, LensLowerLeftY);
+        if (dim > 2)
+            lensLowerLeft_[2] = GET_PARAM(TypeTag, Scalar, LensLowerLeftY);
+
+        lensUpperRight_[0] = GET_PARAM(TypeTag, Scalar, LensUpperRightX);
+        if (dim > 1)
+            lensUpperRight_[1] = GET_PARAM(TypeTag, Scalar, LensUpperRightY);
+        if (dim > 2)
+            lensUpperRight_[2] = GET_PARAM(TypeTag, Scalar, LensUpperRightY);
+
+        intrinsicPerm_ = this->toDimMatrix_(GET_PARAM(TypeTag, Scalar, Permeability));
+        intrinsicPermLens_ = this->toDimMatrix_(GET_PARAM(TypeTag, Scalar, PermeabilityLens));
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::registerParameters
+     */
+    static void registerParameters()
+    {
+        ParentType::registerParameters();
+
+        REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftX, "The x-coordinate of the lens' lower-left corner [m].");
+        REGISTER_PARAM(TypeTag, Scalar, LensUpperRightX, "The x-coordinate of the lens' upper-right corner [m].");
+
+        if (dimWorld > 1) {
+            REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftY, "The y-coordinate of the lens' lower-left corner [m].");
+            REGISTER_PARAM(TypeTag, Scalar, LensUpperRightY, "The y-coordinate of the lens' upper-right corner [m].");
+        }
+
+        if (dimWorld > 2) {
+            REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftZ, "The z-coordinate of the lens' lower-left corner [m].");
+            REGISTER_PARAM(TypeTag, Scalar, LensUpperRightZ, "The z-coordinate of the lens' upper-right corner [m].");
+        }
+
+        REGISTER_PARAM(TypeTag, Scalar, Permeability, "The intrinsic permeability [m^2] of the ambient material.");
+        REGISTER_PARAM(TypeTag, Scalar, PermeabilityLens, "The intrinsic permeability [m^2] of the lens.");
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "groundwater_" << this->model().name();
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return 273.15 + 10; } // 10C
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return 0.4; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return isInLens_(context.pos(spaceIdx, timeIdx))?intrinsicPermLens_:intrinsicPerm_; }
+
+    //! \}
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
+
+        if (onLowerBoundary_(globalPos) || onUpperBoundary_(globalPos)) {
+            Scalar pressure;
+            Scalar T = temperature(context, spaceIdx, timeIdx);
+            if (onLowerBoundary_(globalPos))
+                pressure = 2e5;
+            else // on upper boundary
+                pressure = 1e5;
+
+            Opm::ImmiscibleFluidState<Scalar, FluidSystem, /*storeEnthalpy=*/false> fs;
+            fs.setSaturation(/*phaseIdx=*/0, 1.0);
+            fs.setPressure(/*phaseIdx=*/0, pressure);
+            fs.setTemperature(T);
+
+            // impose an freeflow boundary condition
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else {
+            // no flow boundary
+            values.setNoFlow();
+        }
+
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        //const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
+        values[pressure0Idx] = 1.0e+5;// + 9.81*1.23*(20-globalPos[dim-1]);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[dim-1] < eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[dim-1] > this->bboxMax()[dim-1] - eps_; }
+
+    bool isInLens_(const GlobalPosition &pos) const
+    {
+        return
+            lensLowerLeft_[0] <= pos[0] && pos[0] <= lensUpperRight_[0] &&
+            lensLowerLeft_[1] <= pos[1] && pos[1] <= lensUpperRight_[1];
+    }
+
+    GlobalPosition lensLowerLeft_;
+    GlobalPosition lensUpperRight_;
+
+    DimMatrix intrinsicPerm_;
+    DimMatrix intrinsicPermLens_;
+
+    Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/problems/infiltrationproblem.hh

@@ -0,0 +1,490 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *   Copyright (C) 2009-2012 by Bernd Flemisch                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::InfiltrationProblem
+ */
+#ifndef EWOMS_INFILTRATION_PROBLEM_HH
+#define EWOMS_INFILTRATION_PROBLEM_HH
+
+#include <ewoms/models/pvs/pvsproperties.hh>
+
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/fluidsystems/H2OAirMesityleneFluidSystem.hpp>
+#include <opm/material/fluidmatrixinteractions/3p/3pParkerVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/3pAdapter.hpp>
+#include <opm/material/constraintsolvers/ComputeFromReferencePhase.hpp>
+#include <opm/material/heatconduction/Somerton.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfug.hh>
+#include <dune/grid/io/file/dgfparser/dgfs.hh>
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class InfiltrationProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(InfiltrationBaseProblem);
+
+// Set the grid type
+SET_TYPE_PROP(InfiltrationBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(InfiltrationBaseProblem, Problem, Ewoms::InfiltrationProblem<TypeTag>);
+
+// Set the fluid system
+SET_TYPE_PROP(InfiltrationBaseProblem,
+              FluidSystem,
+              Opm::FluidSystems::H2OAirMesitylene<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+// Enable gravity?
+SET_BOOL_PROP(InfiltrationBaseProblem, EnableGravity, true);
+
+// Write newton convergence?
+SET_BOOL_PROP(InfiltrationBaseProblem, NewtonWriteConvergence, false);
+
+// Maximum tolerated relative error in the Newton method
+SET_SCALAR_PROP(InfiltrationBaseProblem, NewtonRelativeTolerance, 1e-8);
+
+// -1 backward differences, 0: central differences, +1: forward differences
+SET_INT_PROP(InfiltrationBaseProblem, NumericDifferenceMethod, 1);
+
+// Set the material Law
+SET_PROP(InfiltrationBaseProblem, MaterialLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+    enum { nPhaseIdx = FluidSystem::nPhaseIdx };
+    enum { gPhaseIdx = FluidSystem::gPhaseIdx };
+
+    // define the three-phase material law
+    typedef Opm::ThreePParkerVanGenuchten<Scalar> ThreePLaw;
+
+public:
+    // wrap the three-phase law in an adaptor to make use the generic
+    // material law API
+    typedef Opm::ThreePAdapter<wPhaseIdx, nPhaseIdx, gPhaseIdx, ThreePLaw> type;
+};
+
+// Set the heat conduction law
+SET_PROP(InfiltrationBaseProblem, HeatConductionLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    // define the material law parameterized by absolute saturations
+    typedef Opm::Somerton<FluidSystem, Scalar> type;
+};
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(InfiltrationBaseProblem, EndTime, 6e3);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(InfiltrationBaseProblem, InitialTimeStepSize, 60);
+
+// The default DGF file to load
+SET_STRING_PROP(InfiltrationBaseProblem, GridFile, "./grids/infiltration_50x3.dgf");
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ * \brief Isothermal NAPL infiltration problem where LNAPL
+ *        contaminates the unsaturated and the saturated groundwater
+ *        zone.
+ *
+ * The 2D domain of this test problem is 500 m long and 10 m deep,
+ * where the lower part represents a slightly inclined groundwater
+ * table, and the upper part is the vadose zone.  A LNAPL (Non-Aqueous
+ * Phase Liquid which is lighter than water) infiltrates (modelled
+ * with a Neumann boundary condition) into the vadose zone. Upon
+ * reaching the water table, it spreads (since lighter than water) and
+ * migrates on top of the water table in the direction of the slope.
+ * On its way through the vadose zone, it leaves a trace of residually
+ * trapped immobile NAPL, which can in the following dissolve and
+ * evaporate slowly, and eventually be transported by advection and
+ * diffusion.
+ *
+ * Left and right boundaries are constant hydraulic head boundaries
+ * (Dirichlet), Top and bottom are Neumann boundaries, all no-flow
+ * except for the small infiltration zone in the upper left part.
+ */
+template <class TypeTag >
+class InfiltrationProblem : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+    // copy some indices for convenience
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    enum {
+        // equation indices
+        conti0EqIdx = Indices::conti0EqIdx,
+
+        // number of phases/components
+        numPhases = FluidSystem::numPhases,
+
+        // component indices
+        NAPLIdx = FluidSystem::NAPLIdx,
+        H2OIdx = FluidSystem::H2OIdx,
+        airIdx = FluidSystem::airIdx,
+
+        // phase indices
+        wPhaseIdx = FluidSystem::wPhaseIdx,
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+        nPhaseIdx = FluidSystem::nPhaseIdx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    InfiltrationProblem(TimeManager &timeManager)
+        : ParentType(timeManager,
+                     GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+        , eps_(1e-6)
+    {
+        temperature_ = 273.15 + 10.0; // -> 10 degrees Celsius
+        FluidSystem::init(/*tempMin=*/temperature_ - 1,
+                          /*tempMax=*/temperature_ + 1,
+                          /*nTemp=*/3,
+                          /*pressMin=*/0.8*1e5,
+                          /*pressMax=*/3*1e5,
+                          /*nPress=*/200);
+
+        // intrinsic permeabilities
+        fineK_ = this->toDimMatrix_(1e-11);
+        coarseK_ = this->toDimMatrix_(1e-11);
+
+        // porosities
+        porosity_ = 0.40;
+
+        // residual saturations
+        materialParams_.setSwr(0.12);
+        materialParams_.setSwrx(0.12);
+        materialParams_.setSnr(0.07);
+        materialParams_.setSgr(0.03);
+
+        // parameters for the 3phase van Genuchten law
+        materialParams_.setVgAlpha(0.0005);
+        materialParams_.setVgN(4.);
+        materialParams_.setkrRegardsSnr(false);
+
+        // parameters for adsorption
+        materialParams_.setKdNAPL(0.);
+        materialParams_.setRhoBulk(1500.);
+
+        materialParams_.checkDefined();
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::shouldWriteRestartFile
+     *
+     * This problem writes a restart file after every time step.
+     */
+    bool shouldWriteRestartFile() const
+    { return true; }
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "infiltration_" << this->model().name();
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineK_;
+        return coarseK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        //const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        // if (isFineMaterial_(pos))
+        //     return finePorosity_;
+        // else
+        //     return coarsePorosity_;
+        return porosity_;
+    }
+
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return materialParams_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatCapacitySolid
+     *
+     * In this case, we assume the rock-matrix to be quartz.
+     */
+    template <class Context>
+    Scalar heatCapacitySolid(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        return
+            850. // specific heat capacity [J / (kg K)]
+            * 2650.; // density of sand [kg/m^3]
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos) || onRightBoundary_(pos)) {
+            Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+
+            initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else if (onInlet_(pos)) {
+            RateVector molarRate(0.0);
+            molarRate[conti0EqIdx + NAPLIdx] = -0.001;
+
+            values.setMolarRate(molarRate);
+            Valgrind::CheckDefined(values);
+        }
+        else
+            values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+
+        initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+        const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+        values.assignMassConservative(fs, matParams, /*inEquilibrium=*/true);
+        Valgrind::CheckDefined(values);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate, const Context &context, int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    { return onUpperBoundary_(pos) && 50 < pos[0] && pos[0] < 75; }
+
+    template <class FluidState, class Context>
+    void initialFluidState_(FluidState &fs, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition pos = context.pos(spaceIdx, timeIdx);
+        Scalar y = pos[1];
+        Scalar x = pos[0];
+
+        Scalar densityW = 1000.0;
+        Scalar pc = 9.81 * densityW * (y - (5 - 5e-4*x));
+        if (pc < 0.0) pc = 0.0;
+
+        // set pressures
+        const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+        Scalar Sw = invertPCGW_(pc, matParams);
+        Scalar Swr = matParams.satResidual(wPhaseIdx);
+        Scalar Sgr = matParams.satResidual(gPhaseIdx);
+        if (Sw < Swr)
+            Sw = Swr;
+        if (Sw > 1 - Sgr)
+            Sw = 1 - Sgr;
+        Scalar Sg = 1 - Sw;
+
+        Valgrind::CheckDefined(Sw);
+        Valgrind::CheckDefined(Sg);
+
+        fs.setSaturation(wPhaseIdx, Sw);
+        fs.setSaturation(gPhaseIdx, Sg);
+        fs.setSaturation(nPhaseIdx, 0);
+
+        // set temperature of all phases
+        fs.setTemperature(temperature_);
+
+        // compute pressures
+        Scalar pcAll[numPhases];
+        Scalar pg = 1e5;
+        if (onLeftBoundary_(pos))
+            pg += 10e3;
+        MaterialLaw::capillaryPressures(pcAll, matParams, fs);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx)
+            fs.setPressure(phaseIdx, pg + (pcAll[phaseIdx] - pcAll[gPhaseIdx]));
+
+        // set composition of gas phase
+        fs.setMoleFraction(gPhaseIdx, H2OIdx, 1e-6);
+        fs.setMoleFraction(gPhaseIdx, airIdx, 1 - fs.moleFraction(gPhaseIdx, H2OIdx));
+        fs.setMoleFraction(gPhaseIdx, NAPLIdx, 0);
+
+        typedef Opm::ComputeFromReferencePhase<Scalar, FluidSystem> CFRP;
+        typename FluidSystem::ParameterCache paramCache;
+        CFRP::solve(fs,
+                    paramCache,
+                    gPhaseIdx,
+                    /*setViscosity=*/false,
+                    /*setEnthalpy=*/false);
+
+        fs.setMoleFraction(wPhaseIdx, H2OIdx, 1 - fs.moleFraction(wPhaseIdx, H2OIdx));
+    }
+
+    static Scalar invertPCGW_(Scalar pcIn, const MaterialLawParams &pcParams)
+    {
+        Scalar lower,upper;
+        int k;
+        int maxIt = 50;
+        Scalar bisLimit = 1.;
+        Scalar Sw, pcGW;
+        lower=0.0; upper=1.0;
+        for (k=1; k<=25; k++)
+        {
+            Sw = 0.5*(upper+lower);
+            pcGW = MaterialLaw::pCGW(pcParams, Sw);
+            Scalar delta = pcGW-pcIn;
+            if (delta<0.) delta*=-1.;
+            if (delta<bisLimit)
+            {
+                return(Sw);
+            }
+            if (k==maxIt) {
+                return(Sw);
+            }
+            if (pcGW>pcIn) lower=Sw;
+            else upper=Sw;
+        }
+        return 0;
+    }
+
+    bool isFineMaterial_(const GlobalPosition &pos) const
+    {
+        return
+            70. <= pos[0] && pos[0] <= 85. &&
+            7.0 <= pos[1] && pos[1] <= 7.50;
+    }
+
+    DimMatrix fineK_;
+    DimMatrix coarseK_;
+
+    Scalar porosity_;
+
+    MaterialLawParams materialParams_;
+
+    Scalar temperature_;
+    Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/problems/lensgridcreator.hh

@@ -0,0 +1,389 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::LensGridCreator
+ */
+#ifndef EWOMS_LENS_GRID_CREATOR_HH
+#define EWOMS_LENS_GRID_CREATOR_HH
+
+#include <ewoms/parallel/mpihelper.hh>
+#include <ewoms/common/propertysystem.hh>
+#include <ewoms/common/parametersystem.hh>
+
+#if HAVE_UG
+#include <dune/grid/uggrid.hh>
+#else
+#include <dune/grid/yaspgrid.hh>
+#endif
+#include <dune/common/fvector.hh>
+
+#include <vector>
+
+namespace Ewoms {
+// some hacky defines for the grid creator
+#define LENS_DIM 2
+#define LENS_CUBES 1
+
+template <class TypeTag>
+class LensProblem;
+
+//////////
+// Specify the properties for the lens problem
+//////////
+namespace Properties {
+
+// declare the properties required by the for the lens grid creator
+NEW_PROP_TAG(Grid);
+NEW_PROP_TAG(Scalar);
+
+NEW_PROP_TAG(DomainSizeX);
+NEW_PROP_TAG(DomainSizeY);
+NEW_PROP_TAG(DomainSizeZ);
+
+NEW_PROP_TAG(CellsX);
+NEW_PROP_TAG(CellsY);
+NEW_PROP_TAG(CellsZ);
+
+NEW_PROP_TAG(GridGlobalRefinements);
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Helper class for grid instantiation of the lens problem.
+ */
+#if HAVE_UG
+template <class TypeTag>
+class LensGridCreator
+{
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    enum { dim = LENS_DIM };
+
+public:
+#if LENS_CUBES
+    typedef Dune::UGGrid<LENS_DIM> Grid;
+    //typedef Dune::ALUGrid<LENS_DIM, LENS_DIM, Dune::cube, Dune::nonconforming> Grid;
+#else
+    typedef Dune::UGGrid<LENS_DIM> Grid;
+    //typedef Dune::ALUGrid<LENS_DIM, LENS_DIM, Dune::simplex, Dune::nonconforming> Grid;
+#endif
+
+    /*!
+     * \brief Register all run-time parameters for the grid creator.
+     */
+    static void registerParameters()
+    {
+        REGISTER_PARAM(TypeTag, unsigned, GridGlobalRefinements, "The number of global refinements of the grid executed after it was loaded");
+        REGISTER_PARAM(TypeTag, Scalar, DomainSizeX, "The size of the domain in x direction");
+        REGISTER_PARAM(TypeTag, int, CellsX, "The number of intervalls in x direction");
+        if (dim > 1) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeY, "The size of the domain in y direction");
+            REGISTER_PARAM(TypeTag, int, CellsY, "The number of intervalls in y direction");
+        }
+        if (dim > 2) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeZ, "The size of the domain in z direction");
+            REGISTER_PARAM(TypeTag, int, CellsZ, "The number of intervalls in z direction");
+        }
+    }
+
+    /*!
+     * \brief Create the grid for the lens problem
+     */
+    static void makeGrid()
+    {
+        Dune::FieldVector<int, dim> cellRes;
+        Dune::FieldVector<Scalar, dim> upperRight;
+        Dune::FieldVector<Scalar, dim> lowerLeft;
+
+        lowerLeft = 0.0;
+        upperRight[0] = GET_PARAM(TypeTag, Scalar, DomainSizeX);
+        upperRight[1] = GET_PARAM(TypeTag, Scalar, DomainSizeY);
+
+        cellRes[0] = GET_PARAM(TypeTag, int, CellsX);
+        cellRes[1] = GET_PARAM(TypeTag, int, CellsY);
+        if (dim == 3) {
+            upperRight[2] = GET_PARAM(TypeTag, Scalar, DomainSizeZ);
+            cellRes[2] = GET_PARAM(TypeTag, int, CellsZ);
+        }
+
+        Dune::GridFactory<Grid> factory;
+
+        if (dim == 3) {
+            Dune::FieldVector<double,dim> pos;
+            for (int k = 0; k <= cellRes[0]; k++) {
+                pos[2] = upperRight[2]*double(k)/cellRes[2];
+
+                for (int j = 0; j <= cellRes[1]; j++) {
+                    pos[1] = upperRight[1]*double(j)/cellRes[1];
+
+                    for (int i = 0; i <= cellRes[0]; i++) {
+                        pos[0] = upperRight[0]*double(i)/cellRes[0];
+                        factory.insertVertex(pos);
+                    }
+                }
+            }
+        }
+        else {
+            assert(dim == 2);
+            Dune::FieldVector<double,dim> pos;
+            for (int j = 0; j <= cellRes[1]; j++) {
+                pos[1] = upperRight[1]*double(j)/cellRes[1];
+
+                for (int i = 0; i <= cellRes[0]; i++) {
+                    pos[0] = upperRight[0]*double(i)/cellRes[0];
+                    factory.insertVertex(pos);
+                }
+            }
+        }
+
+        for (int i = 0; i < cellRes[0]; ++i) {
+            for (int j = 0; j < cellRes[1]; ++j) {
+#if LENS_CUBES
+                std::vector<unsigned int> v(1 << dim);
+#else
+                std::vector<unsigned int> v(dim + 1);
+#endif
+                if (dim == 3) {
+                    int m = cellRes[0] + 1;
+                    int n = cellRes[1] + 1;
+                    for (int k = 0; k < cellRes[2]; ++k) {
+                        int i0 = k*m*n + j*m + i;
+                        int i1 = k*m*n + j*m + (i+1);
+                        int i2 = k*m*n + (j+1)*m + i;
+                        int i3 = k*m*n + (j+1)*m + (i+1);
+                        int i4 = (k+1)*m*n + j*m + i;
+                        int i5 = (k+1)*m*n + j*m + (i+1);
+                        int i6 = (k+1)*m*n + (j+1)*m + i;
+                        int i7 = (k+1)*m*n + (j+1)*m + (i+1);
+
+#if LENS_CUBES
+                        v[0] = i0;
+                        v[1] = i1;
+                        v[2] = i2;
+                        v[3] = i3;
+                        v[4] = i4;
+                        v[5] = i5;
+                        v[6] = i6;
+                        v[7] = i7;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::cube,3), v);
+
+#else
+                        v[0] = i0;
+                        v[1] = i1;
+                        v[2] = i2;
+                        v[3] = i4;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i4;
+                        v[1] = i5;
+                        v[2] = i6;
+                        v[3] = i2;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i2;
+                        v[1] = i5;
+                        v[2] = i4;
+                        v[3] = i1;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i2;
+                        v[1] = i3;
+                        v[2] = i7;
+                        v[3] = i5;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i5;
+                        v[1] = i7;
+                        v[2] = i6;
+                        v[3] = i2;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+
+                        v[0] = i1;
+                        v[1] = i3;
+                        v[2] = i5;
+                        v[3] = i2;
+                        factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,3), v);
+#endif
+                    }
+                }
+                else {
+                    assert(dim == 2);
+
+                    int m = cellRes[0] + 1;
+                    int i0 = j*m + i;
+                    int i1 = j*m + (i+1);
+                    int i2 = (j+1)*m + i;
+                    int i3 = (j+1)*m + (i+1);
+#if LENS_CUBES
+                    v[0] = i0;
+                    v[1] = i1;
+                    v[2] = i2;
+                    v[3] = i3;
+                    factory.insertElement(Dune::GeometryType(Dune::GeometryType::cube,2), v);
+#else
+                    v[0] = i0;
+                    v[1] = i1;
+                    v[2] = i2;
+                    factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,2), v);
+
+                    v[0] = i1;
+                    v[1] = i3;
+                    v[2] = i2;
+                    factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,2), v);
+#endif
+                }
+            }
+        }
+
+        grid_ = factory.createGrid();
+
+        unsigned numRefinements = GET_PARAM(TypeTag, unsigned, GridGlobalRefinements);
+        grid_->globalRefine(numRefinements);
+    }
+
+    /*!
+     * \brief Return a reference to the grid.
+     */
+    static Grid &grid()
+    { return *grid_; }
+
+    /*!
+     * \brief Distribute the grid (and attached data) over all
+     *        processes.
+     */
+    static void loadBalance()
+    { grid_->loadBalance(); }
+
+    /*!
+     * \brief Destroy the grid
+     *
+     * This is required to guarantee that the grid is deleted before
+     * MPI_Comm_free is called.
+     */
+    static void deleteGrid()
+    { delete grid_; }
+
+private:
+    static Grid *grid_;
+};
+
+template <class TypeTag>
+typename LensGridCreator<TypeTag>::Grid *LensGridCreator<TypeTag>::grid_;
+
+#else // ! HAVE_UG
+
+template <class TypeTag>
+class LensGridCreator
+{
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    enum { dim = LENS_DIM };
+
+public:
+    typedef Dune::YaspGrid<LENS_DIM> Grid;
+
+    /*!
+     * \brief Register all run-time parameters for the grid creator.
+     */
+    static void registerParameters()
+    {
+        REGISTER_PARAM(TypeTag, unsigned, GridGlobalRefinements, "The number of global refinements of the grid executed after it was loaded");
+        REGISTER_PARAM(TypeTag, Scalar, DomainSizeX, "The size of the domain in x direction");
+        REGISTER_PARAM(TypeTag, int, CellsX, "The number of intervalls in x direction");
+        if (dim > 1) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeY, "The size of the domain in y direction");
+            REGISTER_PARAM(TypeTag, int, CellsY, "The number of intervalls in y direction");
+        }
+        if (dim > 2) {
+            REGISTER_PARAM(TypeTag, Scalar, DomainSizeZ, "The size of the domain in z direction");
+            REGISTER_PARAM(TypeTag, int, CellsZ, "The number of intervalls in z direction");
+        }
+    }
+
+    /*!
+     * \brief Create the grid for the lens problem
+     */
+    static void makeGrid()
+    {
+        Dune::FieldVector<int, LENS_DIM> cellRes;
+        Dune::FieldVector<Scalar, LENS_DIM> upperRight;
+        Dune::FieldVector<Scalar, LENS_DIM> lowerLeft;
+
+        grid_ = 0;
+
+        lowerLeft[1] = 0.0;
+        upperRight[0] = GET_PARAM(TypeTag, Scalar, DomainSizeX);
+        upperRight[1] = GET_PARAM(TypeTag, Scalar, DomainSizeY);
+
+        cellRes[0] = GET_PARAM(TypeTag, int, CellsX);
+        cellRes[1] = GET_PARAM(TypeTag, int, CellsY);
+        if (dim == 3) {
+            upperRight[2] = GET_PARAM(TypeTag, Scalar, DomainSizeZ);
+            cellRes[2] = GET_PARAM(TypeTag, int, CellsZ);
+        }
+
+        unsigned numRefinements = GET_PARAM(TypeTag, unsigned, GridGlobalRefinements);
+
+        grid_ = new Dune::YaspGrid<LENS_DIM>(
+#ifdef HAVE_MPI
+            /*mpiCommunicator=*/Dune::MPIHelper::getCommunicator(),
+#endif
+            /*upperRightCorner=*/upperRight,
+            /*numCells=*/cellRes,
+            /*isPeriodic=*/Dune::FieldVector<bool,LENS_DIM>(false),
+            /*overlap=*/1);
+        grid_->globalRefine(numRefinements);
+    }
+
+    /*!
+     * \brief Return a reference to the grid.
+     */
+    static Grid &grid()
+    { return *grid_; }
+
+    /*!
+     * \brief Distribute the grid (and attached data) over all
+     *        processes.
+     */
+    static void loadBalance()
+    { grid_->loadBalance(); }
+
+    /*!
+     * \brief Destroy the grid
+     *
+     * This is required to guarantee that the grid is deleted before
+     * MPI_Comm_free is called.
+     */
+    static void deleteGrid()
+    { delete grid_; }
+
+private:
+    static Grid *grid_;
+};
+
+template <class TypeTag>
+Dune::YaspGrid<LENS_DIM> *LensGridCreator<TypeTag>::grid_;
+
+#endif // HAVE_UG
+
+}
+
+#endif

tests/models/problems/lensproblem.hh

@@ -0,0 +1,532 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2010-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::LensProblem
+ */
+#ifndef EWOMS_LENS_PROBLEM_HH
+#define EWOMS_LENS_PROBLEM_HH
+
+#include "lensgridcreator.hh"
+
+#include <ewoms/models/immiscible/immiscibleproperties.hh>
+#include <ewoms/linear/parallelamgbackend.hh>
+
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+#include <opm/material/fluidsystems/2pImmiscibleFluidSystem.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/components/SimpleH2O.hpp>
+#include <opm/material/components/Dnapl.hpp>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <string>
+#include <iostream>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class LensProblem;
+
+//////////
+// Specify the properties for the lens problem
+//////////
+namespace Properties {
+
+NEW_TYPE_TAG(LensBaseProblem);
+
+// declare the properties specific for the lens problem
+NEW_PROP_TAG(LensLowerLeftX);
+NEW_PROP_TAG(LensLowerLeftY);
+NEW_PROP_TAG(LensLowerLeftZ);
+NEW_PROP_TAG(LensUpperRightX);
+NEW_PROP_TAG(LensUpperRightY);
+NEW_PROP_TAG(LensUpperRightZ);
+
+// set the GridCreator property
+SET_TYPE_PROP(LensBaseProblem, GridCreator, LensGridCreator<TypeTag>);
+
+// Retrieve the grid type from the grid creator
+SET_TYPE_PROP(LensBaseProblem, Grid, typename GET_PROP_TYPE(TypeTag, GridCreator)::Grid);
+
+// Set the problem property
+SET_TYPE_PROP(LensBaseProblem, Problem, Ewoms::LensProblem<TypeTag>);
+
+// Set the wetting phase
+SET_PROP(LensBaseProblem, WettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
+};
+
+// Set the non-wetting phase
+SET_PROP(LensBaseProblem, NonwettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::DNAPL<Scalar> > type;
+};
+
+// Set the material Law
+SET_PROP(LensBaseProblem, MaterialLaw)
+{
+private:
+    // define the material law which is parameterized by effective
+    // saturations
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Opm::RegularizedVanGenuchten<Scalar> EffectiveLaw;
+    // define the material law parameterized by absolute saturations
+    typedef Opm::EffToAbsLaw<EffectiveLaw> TwoPMaterialLaw;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+
+public:
+    typedef Opm::TwoPAdapter<wPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Use the algebraic multi-grid linear solver for this problem
+SET_TAG_PROP(LensBaseProblem, LinearSolver, ParallelAmgBackend);
+
+// Enable partial reassembly of the jacobian matrix?
+//SET_BOOL_PROP(LensBaseProblem, EnablePartialReassemble, true);
+
+// Enable reuse of jacobian matrices?
+//SET_BOOL_PROP(LensBaseProblem, EnableJacobianRecycling, true);
+
+// Write the solutions of individual newton iterations?
+SET_BOOL_PROP(LensBaseProblem, NewtonWriteConvergence, false);
+
+// Use forward differences instead of central differences
+SET_INT_PROP(LensBaseProblem, NumericDifferenceMethod, +1);
+
+// Enable gravity
+SET_BOOL_PROP(LensBaseProblem, EnableGravity, true);
+
+// define the properties specific for the lens problem
+SET_SCALAR_PROP(LensBaseProblem, LensLowerLeftX, 1.0);
+SET_SCALAR_PROP(LensBaseProblem, LensLowerLeftY, 2.0);
+SET_SCALAR_PROP(LensBaseProblem, LensLowerLeftZ, 0.0);
+SET_SCALAR_PROP(LensBaseProblem, LensUpperRightX, 4.0);
+SET_SCALAR_PROP(LensBaseProblem, LensUpperRightY, 3.0);
+SET_SCALAR_PROP(LensBaseProblem, LensUpperRightZ, 1.0);
+
+SET_SCALAR_PROP(LensBaseProblem, DomainSizeX, 6.0);
+SET_SCALAR_PROP(LensBaseProblem, DomainSizeY, 4.0);
+SET_SCALAR_PROP(LensBaseProblem, DomainSizeZ, 1.0);
+
+SET_INT_PROP(LensBaseProblem, CellsX, 48);
+SET_INT_PROP(LensBaseProblem, CellsY, 32);
+SET_INT_PROP(LensBaseProblem, CellsZ, 16);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(LensBaseProblem, EndTime, 30e3);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(LensBaseProblem, InitialTimeStepSize, 250);
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Soil contamination problem where DNAPL infiltrates a fully
+ *        water saturated medium.
+ *
+ * The domain is sized 6m times 4m and features a rectangular lens
+ * with low permeablility which spans from (1 m , 2 m) to (4 m, 3 m)
+ * and is surrounded by a medium with higher permability. Note that
+ * this problem is discretized using only two dimensions, so from the
+ * point of view of the model, the depth of the domain is implicitly
+ * assumed to be 1 m everywhere.
+ *
+ * On the top and the bottom of the domain no-flow boundary conditions
+ * are used, while free-flow conditions apply on the left and right
+ * boundaries; DNAPL is injected at the top boundary from 3m to 4m at
+ * a rate of 0.04 kg/(s m^2).
+ *
+ * At the boundary on the left, a free-flow condition using the
+ * hydrostatic pressure scaled by a factor of 1.125 is imposed, while
+ * on the right, it is just the hydrostatic pressure. The DNAPL
+ * saturation on both sides is zero.
+ */
+template <class TypeTag>
+class LensProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, WettingPhase) WettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, NonwettingPhase) NonwettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+
+    enum {
+        // number of phases
+        numPhases = FluidSystem::numPhases,
+
+        // phase indices
+        wPhaseIdx = FluidSystem::wPhaseIdx,
+        nPhaseIdx = FluidSystem::nPhaseIdx,
+
+        // equation indices
+        contiNEqIdx = Indices::conti0EqIdx + nPhaseIdx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    LensProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 3e-6;
+        FluidSystem::init();
+
+        temperature_ = 273.15 + 20; // -> 20°C
+        lensLowerLeft_[0] = GET_PARAM(TypeTag, Scalar, LensLowerLeftX);
+        lensLowerLeft_[1] = GET_PARAM(TypeTag, Scalar, LensLowerLeftY);
+        lensUpperRight_[0] = GET_PARAM(TypeTag, Scalar, LensUpperRightX);
+        lensUpperRight_[1] = GET_PARAM(TypeTag, Scalar, LensUpperRightY);
+
+        if (dimWorld == 3) {
+            lensLowerLeft_[2] = GET_PARAM(TypeTag, Scalar, LensLowerLeftZ);
+            lensUpperRight_[2] = GET_PARAM(TypeTag, Scalar, LensUpperRightZ);
+        }
+
+        // parameters for the Van Genuchten law
+        // alpha and n
+        lensMaterialParams_.setVgAlpha(0.00045);
+        lensMaterialParams_.setVgN(7.3);
+        outerMaterialParams_.setVgAlpha(0.0037);
+        outerMaterialParams_.setVgN(4.7);
+
+        lensK_ = this->toDimMatrix_(9.05e-12);
+        outerK_ = this->toDimMatrix_(4.6e-10);
+
+        if (dimWorld == 3) {
+            this->gravity_ = 0;
+            this->gravity_[1] = -9.81;
+        }
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::registerParameters
+     */
+    static void registerParameters()
+    {
+        ParentType::registerParameters();
+
+        REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftX, "The x-coordinate of the lens' lower-left corner [m].");
+        REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftY, "The y-coordinate of the lens' lower-left corner [m].");
+        REGISTER_PARAM(TypeTag, Scalar, LensUpperRightX, "The x-coordinate of the lens' upper-right corner [m].");
+        REGISTER_PARAM(TypeTag, Scalar, LensUpperRightY, "The y-coordinate of the lens' upper-right corner [m].");
+
+        if (dimWorld == 3) {
+            REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftZ, "The z-coordinate of the lens' lower-left corner [m].");
+            REGISTER_PARAM(TypeTag, Scalar, LensUpperRightZ, "The z-coordinate of the lens' upper-right corner [m].");
+        }
+    };
+
+    /*!
+     * \name Soil parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
+
+        if (isInLens_(globalPos))
+            return lensK_;
+        return outerK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return 0.4; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
+
+        if (isInLens_(globalPos))
+            return lensMaterialParams_;
+        return outerMaterialParams_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    //! \}
+
+    /*!
+     * \name Auxiliary methods
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "lens_" << this->model().name();
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvProblem::postTimeStep
+     */
+    void postTimeStep()
+    {
+        // Calculate storage terms
+        PrimaryVariables storage;
+        this->model().globalStorage(storage);
+
+        // Write mass balance information for rank 0
+        if (this->gridView().comm().rank() == 0) {
+            std::cout<<"Storage: " << storage << std::endl;
+        }
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos) || onRightBoundary_(pos)) {
+            // free flow boundary
+            Scalar densityW = WettingPhase::density(temperature_, /*pressure=*/1e5);
+
+            Scalar T = temperature(context, spaceIdx, timeIdx);
+            Scalar pw, Sw;
+
+            // set wetting phase pressure and saturation
+            if (onLeftBoundary_(pos))
+            {
+                Scalar height = this->bboxMax()[1] - this->bboxMin()[1];
+                Scalar depth = this->bboxMax()[1] - pos[1];
+                Scalar alpha = (1 + 1.5/height);
+
+                // hydrostatic pressure scaled by alpha
+                pw = 1e5 - alpha*densityW*this->gravity()[1]*depth;
+                Sw = 1.0;
+            }
+            else {
+                Scalar depth = this->bboxMax()[1] - pos[1];
+
+                // hydrostatic pressure
+                pw = 1e5 - densityW*this->gravity()[1]*depth;
+                Sw = 1.0;
+            }
+
+            // specify a full fluid state using pw and Sw
+            const MaterialLawParams &matParams =
+                this->materialLawParams(context, spaceIdx, timeIdx);
+
+            Opm::ImmiscibleFluidState<Scalar, FluidSystem, /*storeEnthalpy=*/false> fs;
+            fs.setSaturation(wPhaseIdx, Sw);
+            fs.setSaturation(nPhaseIdx, 1 - Sw);
+            fs.setTemperature(T);
+
+            Scalar pC[numPhases];
+            MaterialLaw::capillaryPressures(pC, matParams, fs);
+            fs.setPressure(wPhaseIdx, pw);
+            fs.setPressure(nPhaseIdx, pw +  pC[nPhaseIdx] - pC[wPhaseIdx]);
+
+            // impose an freeflow boundary condition
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else if (onInlet_(pos)) {
+            RateVector massRate(0.0);
+            massRate = 0.0;
+            massRate[contiNEqIdx] = -0.04; // kg / (m^2 * s)
+
+            // impose a forced flow boundary
+            values.setMassRate(massRate);
+        }
+        else {
+            // no flow boundary
+            values.setNoFlow();
+        }
+
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        Scalar depth = this->bboxMax()[1] - pos[1];
+
+        Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+        fs.setPressure(wPhaseIdx, /*pressure=*/1e5);
+
+        Scalar Sw = 1.0;
+        fs.setSaturation(wPhaseIdx, Sw);
+        fs.setSaturation(nPhaseIdx, 1 - Sw);
+
+        fs.setTemperature(temperature_);
+
+        typename FluidSystem::ParameterCache paramCache;
+        paramCache.updatePhase(fs, wPhaseIdx);
+        Scalar densityW = FluidSystem::density(fs, paramCache, wPhaseIdx);
+
+        // hydrostatic pressure (assuming incompressibility)
+        Scalar pw = 1e5 - densityW*this->gravity()[1]*depth;
+
+        // calculate the capillary pressure
+        const MaterialLawParams &matParams =
+            this->materialLawParams(context, spaceIdx, timeIdx);
+        Scalar pC[numPhases];
+        MaterialLaw::capillaryPressures(pC, matParams, fs);
+
+        // make a full fluid state
+        fs.setPressure(wPhaseIdx, pw);
+        fs.setPressure(nPhaseIdx, pw + (pC[wPhaseIdx] - pC[nPhaseIdx]));
+
+        // assign the primary variables
+        values.assignNaive(fs);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool isInLens_(const GlobalPosition &pos) const
+    {
+        for (int i = 0; i < dim; ++i) {
+            if (pos[i] < lensLowerLeft_[i] - eps_ || pos[i] > lensUpperRight_[i] + eps_)
+                return false;
+        }
+        return true;
+    }
+
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    {
+        Scalar width = this->bboxMax()[0] - this->bboxMin()[0];
+        Scalar lambda = (this->bboxMax()[0] - pos[0])/width;
+        return onUpperBoundary_(pos) && 0.5 < lambda && lambda < 2.0/3.0;
+    }
+
+    GlobalPosition lensLowerLeft_;
+    GlobalPosition lensUpperRight_;
+
+    DimMatrix lensK_;
+    DimMatrix outerK_;
+    MaterialLawParams lensMaterialParams_;
+    MaterialLawParams outerMaterialParams_;
+
+    Scalar temperature_;
+    Scalar eps_;
+};
+
+} //end namespace
+
+#endif

tests/models/problems/navierstokestestproblem.hh

@@ -0,0 +1,264 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *   Copyright (C) 2012 by Christoph Grueninger                              *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::NavierStokesTestProblem
+ */
+#ifndef EWOMS_NAVIER_STOKES_TEST_PROBLEM_HH
+#define EWOMS_NAVIER_STOKES_TEST_PROBLEM_HH
+
+#include <ewoms/models/stokes/stokesmodel.hh>
+
+#include <opm/material/fluidsystems/H2ON2FluidSystem.hpp>
+#include <opm/material/fluidsystems/GasPhase.hpp>
+#include <opm/material/components/N2.hpp>
+
+#if HAVE_ALUGRID
+#include <dune/grid/alugrid/2d/alugrid.hh>
+#elif HAVE_UG
+#include <dune/grid/io/file/dgfparser/dgfug.hh>
+#else
+#warning UG or ALUGrid necessary for this test.
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+#endif
+
+#include <dune/grid/io/file/dgfparser.hh>
+
+#include <dune/common/fvector.hh>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class NavierStokesTestProblem;
+
+// Specify the properties for the stokes problem
+namespace Properties
+{
+NEW_TYPE_TAG(NavierStokesTestProblem, INHERITS_FROM(VcfvNavierStokes));
+
+// Set the grid type
+#if HAVE_ALUGRID
+    SET_TYPE_PROP(NavierStokesTestProblem, Grid, Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>);
+#elif HAVE_UG
+SET_TYPE_PROP(NavierStokesTestProblem, Grid, Dune::UGGrid<2>);
+#else
+SET_TYPE_PROP(NavierStokesTestProblem, Grid, Dune::YaspGrid<2>);
+#endif
+
+// Set the property which defines the type of the physical problem
+SET_TYPE_PROP(NavierStokesTestProblem, Problem, Ewoms::NavierStokesTestProblem<TypeTag>);
+
+SET_PROP(NavierStokesTestProblem, Fluid)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::GasPhase<Scalar, Opm::N2<Scalar> > type;
+};
+
+// Disable gravity
+SET_BOOL_PROP(NavierStokesTestProblem, EnableGravity, false);
+
+// Enable constraints
+SET_BOOL_PROP(NavierStokesTestProblem, EnableConstraints, true);
+
+// Default simulation end time [s]
+SET_SCALAR_PROP(NavierStokesTestProblem, EndTime, 1e-3);
+
+// Default initial time step size [s]
+SET_SCALAR_PROP(NavierStokesTestProblem, InitialTimeStepSize, 1e-3);
+
+// Default grid file to load
+SET_STRING_PROP(NavierStokesTestProblem, GridFile, "grids/test_navierstokes.dgf");
+}
+
+/*!
+ * \ingroup VcfvStokesModel
+ * \ingroup VcfvTestProblems
+ * \brief Stokes flow problem with modified nitrogen (N2) circulating in
+ *        a cavity. (lid-driven cavity-flow)
+ *
+ * The example is taken from Ghia, Ghia, and Shin (1982), "High-Re solutions
+ * for incompressible flow using the Navier-Stokes equations and a multigrid
+ * method", Journal of Computational Physics, Vol. 48, pp. 387-411.
+ *
+ * The domain is two-dimensional and sized 1m times 1m. The boundary
+ * conditions for the momentum balances are no-flow boundary
+ * conditions except for the top, which is floating from left to right
+ * with 1 m/s. The mass balance features outflow boundary
+ * conditions. All vertices at the bottom, left and right boundaries
+ * are constraint to a constant pressure level and zero velocity.
+ */
+template <class TypeTag>
+class NavierStokesTestProblem : public StokesProblem<TypeTag>
+{
+    typedef StokesProblem<TypeTag> ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+
+    enum {
+        // Number of equations and grid dimension
+        dimWorld = GridView::dimensionworld,
+
+        // copy some indices for convenience
+        pressureIdx = Indices::pressureIdx,
+        velocity0Idx = Indices::velocity0Idx,
+        conti0EqIdx = Indices::conti0EqIdx,
+        momentum0EqIdx = Indices::momentum0EqIdx
+    };
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    NavierStokesTestProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    { eps_ = 1e-6; }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    { return "navierstokes"; }
+
+    /*!
+     * \brief StokesProblem::temperature
+     *
+     * This problem assumes a constant temperature of 10 degrees Celsius.
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return 273.15 + 10; }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+/*        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        values.setOutflow(massBalanceIdx);
+        values.setDirichlet(momentumXIdx);
+        values.setDirichlet(momentumYIdx);
+        // set pressure for all vertices at the bottom
+        if (onLowerBoundary_(pos)) {
+            values.setDirichlet(massBalanceIdx);
+        }
+*/
+        values.setNoFlow(context, spaceIdx, timeIdx);
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    { initial_(values); }
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     *
+     * For this problem, we fix the velocity of upper boundary.
+     */
+    template <class Context>
+    void constraints(Constraints &constraints, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onUpperBoundary_(pos)) {
+            // lid moves from left to right
+            const Scalar lidVelocity = 1.0;
+            constraints.setConstraint(momentum0EqIdx, velocity0Idx + 0, lidVelocity);
+            constraints.setConstraint(momentum0EqIdx + 1, velocity0Idx + 1, 0);
+            constraints.setConstraint(conti0EqIdx, pressureIdx, 1e5);
+        }
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    // internal method for the initial condition
+    void initial_(PrimaryVariables &priVars) const
+    {
+        priVars[pressureIdx] = 1e5;
+        priVars[velocity0Idx + 0] = 0.0;
+        priVars[velocity0Idx + 1] = 0.0;
+    }
+
+    bool onLeftBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] > this->bboxMax()[1] - eps_;  }
+
+    Scalar eps_;
+};
+
+} //end namespace
+
+#endif

tests/models/problems/obstacleproblem.hh

@@ -0,0 +1,544 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2011-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::ObstacleProblem
+ */
+#ifndef EWOMS_OBSTACLE_PROBLEM_HH
+#define EWOMS_OBSTACLE_PROBLEM_HH
+
+#include <ewoms/models/ncp/ncpproperties.hh>
+
+#include <opm/material/fluidsystems/H2ON2FluidSystem.hpp>
+#include <opm/material/constraintsolvers/ComputeFromReferencePhase.hpp>
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedLinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedBrooksCorey.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/MpLinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+#include <opm/material/heatconduction/Somerton.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfug.hh>
+#include <dune/grid/io/file/dgfparser/dgfs.hh>
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <string>
+#include <iostream>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class ObstacleProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(ObstacleBaseProblem);
+
+// Set the grid type
+SET_TYPE_PROP(ObstacleBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(ObstacleBaseProblem,
+              Problem,
+              Ewoms::ObstacleProblem<TypeTag>);
+
+// Set fluid configuration
+SET_TYPE_PROP(ObstacleBaseProblem,
+              FluidSystem,
+              Opm::FluidSystems::H2ON2<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+// Set the material Law
+SET_PROP(ObstacleBaseProblem, MaterialLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum {
+        lPhaseIdx = FluidSystem::lPhaseIdx,
+        gPhaseIdx = FluidSystem::gPhaseIdx
+    };
+    // define the material law
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    //    typedef RegularizedBrooksCorey<Scalar> EffMaterialLaw;
+    typedef Opm::RegularizedLinearMaterial<Scalar> EffMaterialLaw;
+    typedef Opm::EffToAbsLaw<EffMaterialLaw> TwoPMaterialLaw;
+
+public:
+    typedef Opm::TwoPAdapter<lPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Set the heat conduction law
+SET_PROP(ObstacleBaseProblem, HeatConductionLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    // define the material law parameterized by absolute saturations
+    typedef Opm::Somerton<FluidSystem, Scalar> type;
+};
+
+// Enable gravity
+SET_BOOL_PROP(ObstacleBaseProblem, EnableGravity, true);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(ObstacleBaseProblem, EndTime, 1e4);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(ObstacleBaseProblem, InitialTimeStepSize, 250);
+
+// The default DGF file to load
+SET_STRING_PROP(ObstacleBaseProblem, GridFile, "./grids/obstacle_24x16.dgf");
+}
+
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Problem where liquid water is first stopped by a
+ *        low-permeability lens and then seeps though it.
+ *
+ * Liquid water is injected by using of a free-flow condition on the
+ * lower right of the domain. This water level then raises until
+ * hydrostatic pressure is reached. On the left of the domain, a
+ * rectangular obstacle with \f$10^3\f$ lower permeability than the
+ * rest of the domain first stops the for a while until it seeps
+ * through it.
+ *
+ * The domain is sized 60m times 40m and consists of two media, a
+ * moderately permeable soil (\f$ K_0=10e-12 m^2\f$) and an obstacle
+ * at \f$[10; 20]m \times [0; 35]m \f$ with a lower permeablility of
+ * \f$ K_1=K_0/1000\f$.
+ *
+ * Initially the whole domain is filled by nitrogen, the temperature
+ * is \f$20^\circ C\f$ for the whole domain. The gas pressure is
+ * initially 1 bar, at the inlet of the liquid water on the right side
+ * it is 2 bar.
+ *
+ * The boundary is no-flow except on the lower 10 meters of the left
+ * and the right boundary where a free flow condition is assumed.
+ */
+template <class TypeTag>
+class ObstacleProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLaw) HeatConductionLaw;
+    typedef typename HeatConductionLaw::Params HeatConductionLawParams;
+
+    enum {
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld,
+
+        numPhases = GET_PROP_VALUE(TypeTag, NumPhases),
+
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+        lPhaseIdx = FluidSystem::lPhaseIdx,
+
+        H2OIdx = FluidSystem::H2OIdx,
+        N2Idx = FluidSystem::N2Idx
+    };
+
+    typedef Dune::FieldVector<typename GridView::Grid::ctype, dimWorld> GlobalPosition;
+    typedef Dune::FieldVector<Scalar, numPhases> PhaseVector;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    ObstacleProblem(TimeManager &timeManager)
+        : ParentType(timeManager,
+                     GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 1e-6;
+        temperature_ = 273.15 + 25; // -> 25°C
+
+        // initialize the tables of the fluid system
+        Scalar Tmin = temperature_ - 1.0;
+        Scalar Tmax = temperature_ + 1.0;
+        int nT = 3;
+
+        Scalar pmin = 1.0e5 * 0.75;
+        Scalar pmax = 2.0e5 * 1.25;
+        int np = 1000;
+
+        FluidSystem::init(Tmin, Tmax, nT, pmin, pmax, np);
+
+        // intrinsic permeabilities
+        coarseK_ = this->toDimMatrix_(1e-12);
+        fineK_ = this->toDimMatrix_(1e-15);
+
+        // the porosity
+        finePorosity_ = 0.3;
+        coarsePorosity_ = 0.3;
+
+        // residual saturations
+        fineMaterialParams_.setSwr(0.0);
+        fineMaterialParams_.setSnr(0.0);
+        coarseMaterialParams_.setSwr(0.0);
+        coarseMaterialParams_.setSnr(0.0);
+
+        // parameters for the linear law, i.e. minimum and maximum
+        // pressures
+        fineMaterialParams_.setEntryPC(0.0);
+        coarseMaterialParams_.setEntryPC(0.0);
+        fineMaterialParams_.setMaxPC(0.0);
+        coarseMaterialParams_.setMaxPC(0.0);
+
+        /*
+        // entry pressures for Brooks-Corey
+        fineMaterialParams_.setPe(5e3);
+        coarseMaterialParams_.setPe(1e3);
+
+        // Brooks-Corey shape parameters
+        fineMaterialParams_.setLambda(2);
+        coarseMaterialParams_.setLambda(2);
+        */
+
+        // parameters for the somerton law of heat conduction
+        computeHeatCondParams_(fineHeatCondParams_, finePorosity_);
+        computeHeatCondParams_(coarseHeatCondParams_, coarsePorosity_);
+
+        initFluidStates_();
+    }
+
+    /*!
+     * \copydoc VcfvProblem::postTimeStep
+     */
+    void postTimeStep()
+    {
+        // Calculate storage terms of the individual phases
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            PrimaryVariables phaseStorage;
+            this->model().globalPhaseStorage(phaseStorage, phaseIdx);
+
+            if (this->gridView().comm().rank() == 0) {
+                std::cout
+                    <<"Storage in "
+                    << FluidSystem::phaseName(phaseIdx)
+                    << "Phase: ["
+                    << phaseStorage
+                    << "]"
+                    << "\n";
+            }
+        }
+
+        // Calculate total storage terms
+        PrimaryVariables storage;
+        this->model().globalStorage(storage);
+
+        // Write mass balance information for rank 0
+        if (this->gridView().comm().rank() == 0) {
+            std::cout
+                <<"Storage total: [" << storage << "]"
+                << "\n";
+        }
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "obstacle" << "_" << this->model().name();
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     *
+     * This problem simply assumes a constant temperature.
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        if (isFineMaterial_(context.pos(spaceIdx, timeIdx)))
+            return fineK_;
+        return coarseK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return finePorosity_;
+        else
+            return coarsePorosity_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams &materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineMaterialParams_;
+        else
+            return coarseMaterialParams_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatCapacitySolid
+     *
+     * For this problem, we assume that the solid phase of the porous
+     * medium is granite.
+     */
+    template <class Context>
+    Scalar heatCapacitySolid(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        return
+            790 // specific heat capacity of granite [J / (kg K)]
+            * 2700; // density of granite [kg/m^3]
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatConductionParams
+     */
+    template <class Context>
+    const HeatConductionLawParams&
+    heatConductionParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineHeatCondParams_;
+        return coarseHeatCondParams_;
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onInlet_(pos))
+            values.setFreeFlow(context, spaceIdx, timeIdx, inletFluidState_);
+        else if (onOutlet_(pos))
+            values.setFreeFlow(context, spaceIdx, timeIdx, outletFluidState_);
+        else
+            values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+        values.assignMassConservative(outletFluidState_, matParams);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = 0.0; }
+
+    //! \}
+
+private:
+    /*!
+     * \brief Returns whether a given global position is in the
+     *        fine-permeability region or not.
+     */
+    bool isFineMaterial_(const GlobalPosition &pos) const
+    {
+        return
+            10 <= pos[0] && pos[0] <= 20 &&
+            0 <= pos[1] && pos[1] <= 35;
+    }
+
+    bool onInlet_(const GlobalPosition &globalPos) const
+    {
+        Scalar x = globalPos[0];
+        Scalar y = globalPos[1];
+        return x >= 60 - eps_ && y <= 10;
+    }
+
+    bool onOutlet_(const GlobalPosition &globalPos) const
+    {
+        Scalar x = globalPos[0];
+        Scalar y = globalPos[1];
+        return x < eps_ && y <= 10;
+    }
+
+
+    void initFluidStates_()
+    {
+        initFluidState_(inletFluidState_, coarseMaterialParams_, /*isInlet=*/true);
+        initFluidState_(outletFluidState_, coarseMaterialParams_, /*isInlet=*/false);
+    }
+
+    template <class FluidState>
+    void initFluidState_(FluidState &fs, const MaterialLawParams &matParams, bool isInlet)
+    {
+        int refPhaseIdx;
+        int otherPhaseIdx;
+
+        // set the fluid temperatures
+        fs.setTemperature(temperature_);
+
+        if (isInlet) {
+            // only liquid on inlet
+            refPhaseIdx = lPhaseIdx;
+            otherPhaseIdx = gPhaseIdx;
+
+            // set liquid saturation
+            fs.setSaturation(lPhaseIdx, 1.0);
+
+            // set pressure of the liquid phase
+            fs.setPressure(lPhaseIdx, 2e5);
+
+            // set the liquid composition to pure water
+            fs.setMoleFraction(lPhaseIdx, N2Idx, 0.0);
+            fs.setMoleFraction(lPhaseIdx, H2OIdx, 1.0);
+        }
+        else {
+            // elsewhere, only gas
+            refPhaseIdx = gPhaseIdx;
+            otherPhaseIdx = lPhaseIdx;
+
+            // set gas saturation
+            fs.setSaturation(gPhaseIdx, 1.0);
+
+            // set pressure of the gas phase
+            fs.setPressure(gPhaseIdx, 1e5);
+
+            // set the gas composition to 99% nitrogen and 1% steam
+            fs.setMoleFraction(gPhaseIdx, N2Idx, 0.99);
+            fs.setMoleFraction(gPhaseIdx, H2OIdx, 0.01);
+        };
+
+        // set the other saturation
+        fs.setSaturation(otherPhaseIdx, 1.0 - fs.saturation(refPhaseIdx));
+
+        // calulate the capillary pressure
+        PhaseVector pC;
+        MaterialLaw::capillaryPressures(pC, matParams, fs);
+        fs.setPressure(otherPhaseIdx,
+                       fs.pressure(refPhaseIdx)
+                       + (pC[otherPhaseIdx] - pC[refPhaseIdx]));
+
+        // make the fluid state consistent with local thermodynamic
+        // equilibrium
+        typedef Opm::ComputeFromReferencePhase<Scalar, FluidSystem> ComputeFromReferencePhase;
+
+        typename FluidSystem::ParameterCache paramCache;
+        ComputeFromReferencePhase::solve(fs,
+                                         paramCache,
+                                         refPhaseIdx,
+                                         /*setViscosity=*/false,
+                                         /*setEnthalpy=*/false);
+    }
+
+    void computeHeatCondParams_(HeatConductionLawParams &params, Scalar poro)
+    {
+        Scalar lambdaWater = 0.6;
+        Scalar lambdaGranite = 2.8;
+
+        Scalar lambdaWet = std::pow(lambdaGranite, (1-poro)) * std::pow(lambdaWater, poro);
+        Scalar lambdaDry = std::pow(lambdaGranite, (1-poro));
+
+        params.setFullySaturatedLambda(gPhaseIdx, lambdaDry);
+        params.setFullySaturatedLambda(lPhaseIdx, lambdaWet);
+        params.setVacuumLambda(lambdaDry);
+    }
+
+    DimMatrix coarseK_;
+    DimMatrix fineK_;
+
+    Scalar coarsePorosity_;
+    Scalar finePorosity_;
+
+    MaterialLawParams fineMaterialParams_;
+    MaterialLawParams coarseMaterialParams_;
+
+    HeatConductionLawParams fineHeatCondParams_;
+    HeatConductionLawParams coarseHeatCondParams_;
+
+    Opm::CompositionalFluidState<Scalar, FluidSystem> inletFluidState_;
+    Opm::CompositionalFluidState<Scalar, FluidSystem> outletFluidState_;
+
+    Scalar temperature_;
+    Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/problems/outflowproblem.hh

@@ -0,0 +1,310 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::OutflowProblem
+ */
+#ifndef EWOMS_OUTFLOW_PROBLEM_HH
+#define EWOMS_OUTFLOW_PROBLEM_HH
+
+#include <ewoms/models/pvs/pvsproperties.hh>
+
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/fluidsystems/H2ON2LiquidPhaseFluidSystem.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class OutflowProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(OutflowBaseProblem);
+
+// Set the grid type
+SET_TYPE_PROP(OutflowBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(OutflowBaseProblem, Problem, Ewoms::OutflowProblem<TypeTag>);
+
+// Set fluid system
+SET_PROP(OutflowBaseProblem, FluidSystem)
+{ private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    // Two-component single phase fluid system
+    typedef Opm::FluidSystems::H2ON2LiquidPhase<Scalar> type;
+};
+
+// Disable gravity
+SET_BOOL_PROP(OutflowBaseProblem, EnableGravity, false);
+
+// Also write mass fractions to the output
+SET_BOOL_PROP(OutflowBaseProblem, VtkWriteMassFractions, true);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(OutflowBaseProblem, EndTime, 100);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(OutflowBaseProblem, InitialTimeStepSize, 1);
+
+// The default DGF file to load
+SET_STRING_PROP(OutflowBaseProblem, GridFile, "./grids/outflow.dgf");
+
+}
+
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Problem where dissolved nitrogen is transported with the water
+ *        phase from the left side to the right.
+ *
+ * The model domain is 1m times 1m and exhibits homogeneous soil
+ * properties (\f$ \mathrm{K=10e-10, \Phi=0.4}\f$).  Initially the
+ * domain is fully saturated by water without any nitrogen dissolved.
+ *
+ * At the left side, a free-flow condition defines a nitrogen mole
+ * fraction of 0.02%.  The water phase flows from the left side to the
+ * right due to the imposed pressure gradient of \f$1e5\,Pa/m\f$. The
+ * nitrogen is transported with the water flow and leaves the domain
+ * at the right boundary where an outflow boundary condition is
+ * used.
+ */
+template <class TypeTag>
+class OutflowProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    // copy some indices for convenience
+    enum {
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld,
+
+        // component indices
+        H2OIdx = FluidSystem::H2OIdx,
+        N2Idx = FluidSystem::N2Idx
+    };
+
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    OutflowProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+        , eps_(1e-6)
+    {
+        temperature_ = 273.15 + 20;
+        FluidSystem::init(/*minT=*/temperature_ - 1, /*maxT=*/temperature_ + 2, /*numT=*/3,
+                          /*minp=*/0.8e5, /*maxp=*/2.5e5, /*nump=*/500);
+
+        // set parameters of porous medium
+        perm_ = this->toDimMatrix_(1e-10);
+        porosity_ = 0.4;
+        tortuosity_ = 0.28;
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    { return "outflow"; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     *
+     * This problem assumes a temperature.
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return temperature_; } // in [K]
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     *
+     * This problem uses a constant intrinsic permeability.
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return perm_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     *
+     * This problem uses a constant porosity.
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return porosity_; }
+
+#if 0
+    /*!
+     * \brief Define the tortuosity \f$[?]\f$.
+     *
+     */
+    template <class Context>
+    Scalar tortuosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return tortuosity_; }
+
+    /*!
+     * \brief Define the dispersivity \f$[?]\f$.
+     *
+     */
+    template <class Context>
+    Scalar dispersivity(const Context &context,
+                        int spaceIdx, int timeIdx) const
+    { return 0; }
+#endif
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(globalPos)) {
+            Opm::CompositionalFluidState<Scalar, FluidSystem, /*storeEnthalpy=*/false> fs;
+            initialFluidState_(fs, context, spaceIdx, timeIdx);
+            fs.setPressure(/*phaseIdx=*/0, fs.pressure(/*phaseIdx=*/0) + 1e5);
+
+            Scalar xlN2 = 2e-4;
+            fs.setMoleFraction(/*phaseIdx=*/0, N2Idx, xlN2);
+            fs.setMoleFraction(/*phaseIdx=*/0, H2OIdx, 1 - xlN2);
+
+            // impose an freeflow boundary condition
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else if (onRightBoundary_(globalPos)) {
+            Opm::CompositionalFluidState<Scalar, FluidSystem, /*storeEnthalpy=*/false> fs;
+            initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+            // impose an outflow boundary condition
+            values.setOutFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else
+            // no flow on top and bottom
+            values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        Opm::CompositionalFluidState<Scalar, FluidSystem, /*storeEnthalpy=*/false> fs;
+        initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+        values.assignNaive(fs);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    template <class FluidState, class Context>
+    void initialFluidState_(FluidState &fs,
+                            const Context &context,
+                            int spaceIdx, int timeIdx) const
+    {
+        Scalar T = temperature(context, spaceIdx, timeIdx);
+        //Scalar rho = FluidSystem::H2O::liquidDensity(T, /*pressure=*/1.5e5);
+        //Scalar z = context.pos(spaceIdx, timeIdx)[dim - 1] - this->bboxMax()[dim - 1];
+        //Scalar z = context.pos(spaceIdx, timeIdx)[dim - 1] - this->bboxMax()[dim - 1];
+
+        fs.setSaturation(/*phaseIdx=*/0, 1.0);
+        fs.setPressure(/*phaseIdx=*/0, 1e5 /* + rho*z */);
+        fs.setMoleFraction(/*phaseIdx=*/0, H2OIdx, 1.0);
+        fs.setMoleFraction(/*phaseIdx=*/0, N2Idx, 0);
+        fs.setTemperature(T);
+    }
+
+    const Scalar eps_;
+
+    MaterialLawParams materialParams_;
+    DimMatrix perm_;
+    Scalar temperature_;
+    Scalar porosity_;
+    Scalar tortuosity_;
+};
+} //end namespace
+
+#endif

tests/models/problems/powerinjectionproblem.hh

@@ -0,0 +1,376 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::PowerInjectionProblem
+ */
+#ifndef EWOMS_POWER_INJECTION_PROBLEM_HH
+#define EWOMS_POWER_INJECTION_PROBLEM_HH
+
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+#include <opm/material/fluidsystems/2pImmiscibleFluidSystem.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/components/SimpleH2O.hpp>
+#include <opm/material/components/Air.hpp>
+#include <ewoms/models/immiscible/immisciblemodel.hh>
+#include <ewoms/io/cubegridcreator.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <string>
+#include <type_traits>
+#include <iostream>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class PowerInjectionProblem;
+
+//////////
+// Specify the properties for the powerInjection problem
+//////////
+namespace Properties {
+
+NEW_TYPE_TAG(PowerInjectionBaseProblem);
+
+// Set the grid implementation to be used
+SET_TYPE_PROP(PowerInjectionBaseProblem, Grid, Dune::YaspGrid</*dim=*/1>);
+
+// set the GridCreator property
+SET_TYPE_PROP(PowerInjectionBaseProblem, GridCreator, CubeGridCreator<TypeTag>);
+
+// Set the problem property
+SET_TYPE_PROP(PowerInjectionBaseProblem, Problem, Ewoms::PowerInjectionProblem<TypeTag>);
+
+// Set the wetting phase
+SET_PROP(PowerInjectionBaseProblem, WettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
+};
+
+// Set the non-wetting phase
+SET_PROP(PowerInjectionBaseProblem, NonwettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::GasPhase<Scalar, Opm::Air<Scalar> > type;
+};
+
+// Set the material Law
+SET_PROP(PowerInjectionBaseProblem, MaterialLaw)
+{
+private:
+    // define the material law which is parameterized by effective
+    // saturations
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Opm::RegularizedVanGenuchten<Scalar> EffectiveLaw;
+    // define the material law parameterized by absolute saturations
+    typedef Opm::EffToAbsLaw<EffectiveLaw> TwoPMaterialLaw;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+
+public:
+    typedef Opm::TwoPAdapter<wPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Write out the filter velocities for this problem
+SET_BOOL_PROP(PowerInjectionBaseProblem, VtkWriteFilterVelocities, true);
+
+// Disable gravity
+SET_BOOL_PROP(PowerInjectionBaseProblem, EnableGravity, false);
+
+// define the properties specific for the power injection problem
+SET_SCALAR_PROP(PowerInjectionBaseProblem, DomainSizeX, 100.0);
+SET_SCALAR_PROP(PowerInjectionBaseProblem, DomainSizeY, 1.0);
+SET_SCALAR_PROP(PowerInjectionBaseProblem, DomainSizeZ, 1.0);
+
+SET_INT_PROP(PowerInjectionBaseProblem, CellsX, 250);
+SET_INT_PROP(PowerInjectionBaseProblem, CellsY, 1);
+SET_INT_PROP(PowerInjectionBaseProblem, CellsZ, 1);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(PowerInjectionBaseProblem, EndTime, 100);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(PowerInjectionBaseProblem, InitialTimeStepSize, 1e-3);
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ * \brief 1D Problem with very fast injection of gas on the left.
+ *
+ * The velocity model is chosen in the .cc file in this problem. The
+ * spatial parameters are inspired by the ones given by
+ *
+ * V. Jambhekar: "Forchheimer Porous-media Flow models -- Numerical
+ * Investigation and Comparison with Experimental Data", Master's
+ * Thesis at Institute for Modelling Hydraulic and Environmental
+ * Systems, University of Stuttgart, 2011
+ */
+template <class TypeTag>
+class PowerInjectionProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, WettingPhase) WettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, NonwettingPhase) NonwettingPhase;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+
+    enum {
+        // number of phases
+
+        // phase indices
+        wPhaseIdx = FluidSystem::wPhaseIdx,
+        nPhaseIdx = FluidSystem::nPhaseIdx,
+
+        // equation indices
+        contiNEqIdx = Indices::conti0EqIdx + nPhaseIdx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    PowerInjectionProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 3e-6;
+        FluidSystem::init();
+
+        temperature_ = 273.15 + 26.6;
+
+        // parameters for the Van Genuchten law
+        // alpha and n
+        materialParams_.setVgAlpha(0.00045);
+        materialParams_.setVgN(7.3);
+
+        K_ = this->toDimMatrix_(5.73e-08); // [m^2]
+
+        setupInitialFluidState_();
+    }
+
+    /*!
+     * \name Auxiliary methods
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "powerinjection_";
+        if (std::is_same<typename GET_PROP_TYPE(TypeTag, VelocityModule),
+                         Ewoms::VcfvDarcyVelocityModule<TypeTag> >::value)
+            oss << "darcy";
+        else
+            oss << "forchheimer";
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvProblem::postTimeStep
+     */
+    void postTimeStep()
+    {
+        // Calculate storage terms
+        PrimaryVariables storage;
+        this->model().globalStorage(storage);
+
+        // Write mass balance information for rank 0
+        if (this->gridView().comm().rank() == 0) {
+            std::cout<<"Storage: " << storage << std::endl;
+        }
+    }
+    //! \}
+
+    /*!
+     * \name Soil parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    { return K_; }
+
+    /*!
+     * \copydoc VcfvForchheimerBaseProblem::ergunCoefficient
+     */
+    template <class Context>
+    Scalar ergunCoefficient(const Context &context, int spaceIdx, int timeIdx) const
+    { return 0.3866; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return 0.558; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    { return materialParams_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     *
+     * This problem sets a very high injection rate of nitrogen on the
+     * left and a free-flow boundary on the right.
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos)) {
+            RateVector massRate(0.0);
+            massRate = 0.0;
+            massRate[contiNEqIdx] = -1.00; // kg / (m^2 * s)
+
+            // impose a forced flow boundary
+            values.setMassRate(massRate);
+        }
+        else  {
+            // free flow boundary with initial condition on the right
+            values.setFreeFlow(context, spaceIdx, timeIdx, initialFluidState_);
+        }
+
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        // assign the primary variables
+        values.assignNaive(initialFluidState_);
+    }
+
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    void setupInitialFluidState_()
+    {
+        initialFluidState_.setTemperature(temperature_);
+
+        Scalar Sw = 1.0;
+        initialFluidState_.setSaturation(wPhaseIdx, Sw);
+        initialFluidState_.setSaturation(nPhaseIdx, 1 - Sw);
+
+        Scalar p = 1e5;
+        initialFluidState_.setPressure(wPhaseIdx, p);
+        initialFluidState_.setPressure(nPhaseIdx, p);
+    }
+
+    DimMatrix K_;
+    MaterialLawParams materialParams_;
+
+    Opm::ImmiscibleFluidState<Scalar, FluidSystem> initialFluidState_;
+    Scalar temperature_;
+    Scalar eps_;
+};
+
+} //end namespace
+
+#endif

tests/models/problems/reservoirproblem.hh

@@ -0,0 +1,598 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::ReservoirProblem
+ */
+#ifndef EWOMS_RESERVOIR_PROBLEM_HH
+#define EWOMS_RESERVOIR_PROBLEM_HH
+
+#include <ewoms/models/blackoil/blackoilproperties.hh>
+
+#include <opm/material/fluidmatrixinteractions/mp/MpLinearMaterial.hpp>
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <vector>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class ReservoirProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(ReservoirBaseProblem);
+
+// Problem specific properties:
+
+// Maximum depth of the reservoir
+NEW_PROP_TAG(MaxDepth);
+// The temperature inside the reservoir
+NEW_PROP_TAG(Temperature);
+// The name of the simulation (used for writing VTK files)
+NEW_PROP_TAG(SimulationName);
+
+// Set the grid type
+SET_TYPE_PROP(ReservoirBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(ReservoirBaseProblem, Problem, Ewoms::ReservoirProblem<TypeTag>);
+
+// Set the material Law
+SET_PROP(ReservoirBaseProblem, MaterialLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    typedef Opm::MpLinearMaterial<FluidSystem::numPhases, Scalar> type;
+};
+
+// Write the Newton convergence behavior to disk?
+SET_BOOL_PROP(ReservoirBaseProblem, NewtonWriteConvergence, false);
+
+// Enable gravity
+SET_BOOL_PROP(ReservoirBaseProblem, EnableGravity, true);
+
+// Reuse Jacobian matrices if possible?
+SET_BOOL_PROP(ReservoirBaseProblem, EnableJacobianRecycling, true);
+
+// Smoothen the upwinding method?
+SET_BOOL_PROP(ReservoirBaseProblem, EnableSmoothUpwinding, false);
+
+// Enable constraint DOFs?
+SET_BOOL_PROP(ReservoirBaseProblem, EnableConstraints, true);
+
+// set the defaults for some problem specific properties
+SET_SCALAR_PROP(ReservoirBaseProblem, MaxDepth, 2500);
+SET_SCALAR_PROP(ReservoirBaseProblem, Temperature, 293.15);
+SET_STRING_PROP(ReservoirBaseProblem, SimulationName, "reservoir");
+
+// The default for the end time of the simulation [s]
+SET_SCALAR_PROP(ReservoirBaseProblem, EndTime, 100);
+
+// The default for the initial time step size of the simulation [s]
+SET_SCALAR_PROP(ReservoirBaseProblem, InitialTimeStepSize, 10);
+
+// The default DGF file to load
+SET_STRING_PROP(ReservoirBaseProblem, GridFile, "grids/reservoir.dgf");
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Some simple test problem for the black-oil VCVF discretization
+ *        inspired by an oil reservoir.
+ *
+ * The domain is two-dimensional and exhibits a size of 6000m times
+ * 60m. Initially, the reservoir is assumed by oil with a bubble point
+ * pressure of 20 MPa, which also the initial pressure in the
+ * domain. No-flow boundaries are used for all boundaries. The
+ * permeability of the lower 10 m is reduced compared to the upper 10
+ * m of the domain witch capillary pressure always being
+ * neglected. Three wells are approximated using constraints: Two
+ * water-injector wells, one at the lower-left boundary one at the
+ * lower-right boundary and one producer well in the upper part of the
+ * center of the domain. The pressure for the producer is assumed to
+ * be 2/3 of the reservoir pressure, the injector wells use a pressure
+ * which is 50% above the reservoir pressure.
+ */
+template <class TypeTag>
+class ReservoirProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+    enum {
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    // copy some indices for convenience
+    enum {
+        numPhases = FluidSystem::numPhases,
+        numComponents = FluidSystem::numComponents,
+
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+        oPhaseIdx = FluidSystem::oPhaseIdx,
+        wPhaseIdx = FluidSystem::wPhaseIdx,
+
+        gCompIdx = FluidSystem::gCompIdx,
+        oCompIdx = FluidSystem::oCompIdx,
+        wCompIdx = FluidSystem::wCompIdx
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, BlackOilFluidState) BlackOilFluidState;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+    typedef Dune::FieldVector<Scalar, numPhases> PhaseVector;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    ReservoirProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 1e-6;
+
+        temperature_ = GET_PARAM(TypeTag, Scalar, Temperature);
+        maxDepth_ = GET_PARAM(TypeTag, Scalar, MaxDepth);
+        name_ = GET_PARAM(TypeTag, std::string, SimulationName);
+
+        FluidSystem::initBegin();
+        std::vector<std::pair<Scalar, Scalar> > Bg = {
+            { 1.013529e+05,  9.998450e-01 },
+            { 2.757903e+06,  3.075500e-02 },
+            { 5.515806e+06,  1.537947e-02 },
+            { 8.273709e+06,  1.021742e-02 },
+            { 1.103161e+07,  7.662783e-03 },
+            { 1.378951e+07,  6.151899e-03 },
+            { 1.654742e+07,  5.108709e-03 },
+            { 1.930532e+07,  4.378814e-03 },
+            { 2.206322e+07,  3.857780e-03 },
+            { 2.482113e+07,  3.388401e-03 },
+            { 2.757903e+07,  3.049842e-03 }
+        };
+        std::vector<std::pair<Scalar, Scalar> > Bo = {
+            { 1.013529e+05, 1.000000e+00 },
+            { 2.757903e+06, 1.012000e+00 },
+            { 5.515806e+06, 1.025500e+00 },
+            { 8.273709e+06, 1.038000e+00 },
+            { 1.103161e+07, 1.051000e+00 },
+            { 1.378951e+07, 1.063000e+00 },
+            { 1.654742e+07, 1.075000e+00 },
+            { 1.930532e+07, 1.087000e+00 },
+            { 2.206322e+07, 1.098500e+00 },
+            { 2.482113e+07, 1.110000e+00 },
+            { 2.757903e+07, 1.120000e+00 }
+        };
+        std::vector<std::pair<Scalar, Scalar> > Rs = {
+            { 1.013529e+05, 0.000000e+00 },
+            { 2.757903e+06, 2.938776e+01 },
+            { 5.515806e+06, 5.966605e+01 },
+            { 8.273709e+06, 8.905380e+01 },
+            { 1.103161e+07, 1.184416e+02 },
+            { 1.378951e+07, 1.474731e+02 },
+            { 1.654742e+07, 1.754360e+02 },
+            { 1.930532e+07, 2.012616e+02 },
+            { 2.206322e+07, 2.261967e+02 },
+            { 2.482113e+07, 2.475696e+02 },
+            { 2.757903e+07, 2.671614e+02 }
+        };
+        std::vector<std::pair<Scalar, Scalar> > muo = {
+            { 1.013529e+05, 1.200000e-03 },
+            { 2.757903e+06, 1.170000e-03 },
+            { 5.515806e+06, 1.140000e-03 },
+            { 8.273709e+06, 1.110000e-03 },
+            { 1.103161e+07, 1.080000e-03 },
+            { 1.378951e+07, 1.060000e-03 },
+            { 1.654742e+07, 1.030000e-03 },
+            { 1.930532e+07, 1.000000e-03 },
+            { 2.206322e+07, 9.800000e-04 },
+            { 2.482113e+07, 9.500000e-04 },
+            { 2.757903e+07, 9.400000e-04 }
+        };
+        std::vector<std::pair<Scalar, Scalar> > mug = {
+            { 1.013529e+05, 1.250000e-05 },
+            { 2.757903e+06, 1.300000e-05 },
+            { 5.515806e+06, 1.350000e-05 },
+            { 8.273709e+06, 1.400000e-05 },
+            { 1.103161e+07, 1.450000e-05 },
+            { 1.378951e+07, 1.500000e-05 },
+            { 1.654742e+07, 1.550000e-05 },
+            { 1.930532e+07, 1.600000e-05 },
+            { 2.206322e+07, 1.650000e-05 },
+            { 2.482113e+07, 1.700000e-05 },
+            { 2.757903e+07, 1.750000e-05 },
+        };
+        FluidSystem::setGasFormationVolumeFactor(Bg);
+        FluidSystem::setOilFormationVolumeFactor(Bo);
+        FluidSystem::setGasFormationFactor(Rs);
+        FluidSystem::setOilViscosity(muo);
+        FluidSystem::setGasViscosity(mug);
+        FluidSystem::setWaterViscosity(9.6e-4);
+        FluidSystem::setWaterCompressibility(1.450377e-10);
+        FluidSystem::setSurfaceDensities(/*oil=*/720.51,
+                                         /*water=*/1009.32,
+                                         /*gas=*/1.1245);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx)
+            FluidSystem::setReferenceVolumeFactor(phaseIdx, 1.0);
+        FluidSystem::initEnd();
+
+        pReservoir_ = 20e6;
+        layerBottom_ = 22.0;
+
+        // intrinsic permeabilities
+        fineK_ = this->toDimMatrix_(1e-12);
+        coarseK_ = this->toDimMatrix_(1e-11);
+
+        // porosities
+        finePorosity_ = 0.2;
+        coarsePorosity_ = 0.3;
+
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx) {
+            fineMaterialParams_.setPcMinSat(phaseIdx, 0.0);
+            fineMaterialParams_.setPcMaxSat(phaseIdx, 0.0);
+            fineMaterialParams_.setResidSat(phaseIdx, 0.0);
+
+            coarseMaterialParams_.setPcMinSat(phaseIdx, 0.0);
+            coarseMaterialParams_.setPcMaxSat(phaseIdx, 0.0);
+            coarseMaterialParams_.setResidSat(phaseIdx, 0.0);
+        }
+
+        fineMaterialParams_.setResidSat(oPhaseIdx, 0.01);
+        coarseMaterialParams_.setResidSat(oPhaseIdx, 0.01);
+
+        initFluidState_();
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::registerParameters
+     */
+    static void registerParameters()
+    {
+        ParentType::registerParameters();
+
+        REGISTER_PARAM(TypeTag, Scalar, Temperature, "The temperature [K] in the reservoir");
+        REGISTER_PARAM(TypeTag, Scalar, MaxDepth, "The maximum depth [m] of the reservoir");
+        REGISTER_PARAM(TypeTag, std::string, SimulationName, "The name of the simulation used for the output files");
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     *
+     * For this problem, a layer with high permability is located
+     * above one with low permeability.
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineK_;
+        return coarseK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return finePorosity_;
+        return coarsePorosity_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineMaterialParams_;
+        return coarseMaterialParams_;
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const std::string name() const
+    { return name_; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     *
+     * The black-oil model assumes constant temperature to define its
+     * parameters. Although temperature is thus not really used by the
+     * model, it gets written to the VTK output. Who nows, maybe we
+     * will need it one day?
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return temperature_; }
+
+    // \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     *
+     * The reservoir problem uses constraints to approximate
+     * extraction and production wells, so all boundaries are no-flow.
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        // no flow on top and bottom
+        values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     *
+     * The reservoir problem uses a constant boundary condition for
+     * the whole domain.
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        //////
+        // set the primary variables
+        //////
+        values.assignNaive(initialFluidState_);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     *
+     * The reservoir problem places two water-injection wells on the
+     * lower parts of the left and right edges of the domains and on
+     * production well in the middle. The injection wells are fully
+     * water saturated with a higher pressure, the producer is fully
+     * oil saturated with a lower pressure than the remaining
+     * reservoir.
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+        Scalar x = pos[0] - this->bboxMin()[0];
+        Scalar y = pos[dim-1] - this->bboxMin()[dim-1];
+        Scalar height = this->bboxMax()[dim-1] - this->bboxMin()[dim-1];
+        Scalar width = this->bboxMax()[0] - this->bboxMin()[0];
+        if ((onLeftBoundary_(pos)
+             || onRightBoundary_(pos))
+            && y < height/2)
+        {
+            // injectors
+            auto fs = initialFluidState_;
+
+            Scalar pInj = pReservoir_*1.5;
+            fs.setPressure(wPhaseIdx, pInj);
+            fs.setPressure(oPhaseIdx, pInj);
+            fs.setPressure(gPhaseIdx, pInj);
+            fs.setSaturation(wPhaseIdx, 1.0);
+            fs.setSaturation(oPhaseIdx, 0.0);
+            fs.setSaturation(gPhaseIdx, 0.0);
+
+            // set the compositions to only water
+            for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx)
+                for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+                    fs.setMoleFraction(phaseIdx, compIdx, 0.0);
+
+            // set the composition of the oil phase to the initial
+            // composition
+            for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+                fs.setMoleFraction(oPhaseIdx,
+                                   compIdx,
+                                   initialFluidState_.moleFraction(oPhaseIdx, compIdx));
+
+            fs.setMoleFraction(wPhaseIdx, wCompIdx, 1.0);
+
+            constraints.setAllConstraint();
+            constraints.assignNaive(fs);
+        }
+        else if (width/2 - 1 < x && x < width/2 + 1 && y > height/2)
+        {
+            // producer
+            auto fs = initialFluidState_;
+
+            Scalar pProd = pReservoir_/1.5;
+            fs.setPressure(wPhaseIdx, pProd);
+            fs.setPressure(oPhaseIdx, pProd);
+            fs.setPressure(gPhaseIdx, pProd);
+            fs.setSaturation(wPhaseIdx, 0.0);
+            fs.setSaturation(oPhaseIdx, 1.0);
+            fs.setSaturation(gPhaseIdx, 0.0);
+
+            // set the compositions to the initial composition
+            for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx)
+                for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+                    fs.setMoleFraction(phaseIdx,
+                                       compIdx,
+                                       initialFluidState_.moleFraction(phaseIdx, compIdx));
+
+            constraints.setAllConstraint();
+            constraints.assignNaive(fs);
+        }
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0 everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    void initFluidState_()
+    {
+        auto &fs = initialFluidState_;
+
+        //////
+        // set temperatures
+        //////
+        fs.setTemperature(temperature_);
+
+        //////
+        // set saturations
+        //////
+        fs.setSaturation(FluidSystem::oPhaseIdx, 1.0);
+        fs.setSaturation(FluidSystem::wPhaseIdx, 0.0);
+        fs.setSaturation(FluidSystem::gPhaseIdx, 0.0);
+
+        //////
+        // set pressures
+        //////
+        Scalar pw = pReservoir_;
+
+        PhaseVector pC;
+        const auto &matParams = fineMaterialParams_;
+        MaterialLaw::capillaryPressures(pC, matParams, fs);
+
+        fs.setPressure(oPhaseIdx, pw + (pC[oPhaseIdx] - pC[wPhaseIdx]));
+        fs.setPressure(wPhaseIdx, pw + (pC[wPhaseIdx] - pC[wPhaseIdx]));
+        fs.setPressure(gPhaseIdx, pw + (pC[gPhaseIdx] - pC[wPhaseIdx]));
+
+        // reset all mole fractions to 0
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx)
+            for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+                fs.setMoleFraction(phaseIdx, compIdx, 0.0);
+
+        //////
+        // set composition of the gas and water phases
+        //////
+        fs.setMoleFraction(wPhaseIdx, wCompIdx, 1.0);
+        fs.setMoleFraction(gPhaseIdx, gCompIdx, 1.0);
+
+        //////
+        // set composition of the oil phase
+        //////
+
+        // retrieve the relevant black-oil parameters from the fluid
+        // system.
+        Scalar pSat = pReservoir_; // the saturation pressure of the oil
+        Scalar Bo = FluidSystem::oilFormationVolumeFactor(pSat);
+        Scalar Rs = FluidSystem::gasFormationFactor(pSat);
+        Scalar rhoo = FluidSystem::surfaceDensity(oPhaseIdx)/Bo;
+        Scalar rhogref = FluidSystem::surfaceDensity(gPhaseIdx);
+
+        // calculate composition of oil phase in terms of mass
+        // fractions.
+        Scalar XoG = Rs*rhogref / rhoo;
+
+        // convert mass to mole fractions
+        Scalar MG = FluidSystem::molarMass(gCompIdx);
+        Scalar MO = FluidSystem::molarMass(oCompIdx);
+
+        Scalar xoG = XoG*MO/((MO - MG)*XoG + MG);
+        Scalar xoO = 1 - xoG;
+
+        // finally set the oil-phase composition
+        fs.setMoleFraction(oPhaseIdx, gCompIdx, xoG);
+        fs.setMoleFraction(oPhaseIdx, oCompIdx, xoO);
+    }
+
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    { return onRightBoundary_(pos) && (5 < pos[1]) && (pos[1] < 15); }
+
+    bool isFineMaterial_(const GlobalPosition &pos) const
+    { return pos[dim-1] > layerBottom_; }
+
+    DimMatrix fineK_;
+    DimMatrix coarseK_;
+    Scalar layerBottom_;
+    Scalar pReservoir_;
+
+    Scalar finePorosity_;
+    Scalar coarsePorosity_;
+
+    MaterialLawParams fineMaterialParams_;
+    MaterialLawParams coarseMaterialParams_;
+
+    BlackOilFluidState initialFluidState_;
+
+    Scalar temperature_;
+    Scalar maxDepth_;
+    Scalar eps_;
+
+    std::string name_ ;
+};
+} //end namespace
+
+#endif

tests/models/problems/richardslensproblem.hh

@@ -0,0 +1,393 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::RichardsLensProblem
+ */
+#ifndef EWOMS_RICHARDS_LENS_PROBLEM_HH
+#define EWOMS_RICHARDS_LENS_PROBLEM_HH
+
+#include <ewoms/models/richards/richardsmodel.hh>
+
+#include <opm/material/components/SimpleH2O.hpp>
+#include <opm/material/fluidsystems/LiquidPhase.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedVanGenuchten.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+
+#include <dune/grid/io/file/dgfparser.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class RichardsLensProblem;
+
+//////////
+// Specify the properties for the lens problem
+//////////
+namespace Properties {
+
+NEW_TYPE_TAG(RichardsLensProblem, VcfvRichards);
+
+// Use 2d YaspGrid
+SET_TYPE_PROP(RichardsLensProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the physical problem to be solved
+SET_PROP(RichardsLensProblem, Problem)
+{ typedef Ewoms::RichardsLensProblem<TypeTag> type; };
+
+// Set the wetting phase
+SET_PROP(RichardsLensProblem, WettingPhase)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
+};
+
+// Set the material Law
+SET_PROP(RichardsLensProblem, MaterialLaw)
+{
+private:
+    // define the material law which is parameterized by effective
+    // saturations
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Opm::RegularizedVanGenuchten<Scalar> EffectiveLaw;
+    // define the material law parameterized by absolute saturations
+    typedef Opm::EffToAbsLaw<EffectiveLaw> TwoPMaterialLaw;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { wPhaseIdx = FluidSystem::wPhaseIdx };
+
+public:
+    typedef Opm::TwoPAdapter<wPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Enable gravitational acceleration
+SET_BOOL_PROP(RichardsLensProblem, EnableGravity, true);
+
+// Enable partial reassembly of the Jacobian matrix
+SET_BOOL_PROP(RichardsLensProblem, EnablePartialReassemble, true);
+
+// Enable re-use of the Jacobian matrix of the last iteration of the
+// previous for the first iteration of the current time step?
+SET_BOOL_PROP(RichardsLensProblem, EnableJacobianRecycling, true);
+
+// Use forward differences to approximate the Jacobian matrix
+SET_INT_PROP(RichardsLensProblem, NumericDifferenceMethod, +1);
+
+// Set the maximum number of newton iterations of a time step
+SET_INT_PROP(RichardsLensProblem, NewtonMaxIterations, 28);
+
+// Set the "desireable" number of newton iterations of a time step
+SET_INT_PROP(RichardsLensProblem, NewtonTargetIterations, 18);
+
+// Do not write the intermediate results of the newton method
+SET_BOOL_PROP(RichardsLensProblem, NewtonWriteConvergence, false);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(RichardsLensProblem, EndTime, 3000);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(RichardsLensProblem, InitialTimeStepSize, 100);
+
+// The default DGF file to load
+SET_STRING_PROP(RichardsLensProblem, GridFile, "./grids/richardslens_24x16.dgf");
+}
+
+/*!
+ * \ingroup VcfvTestProblems
+ *
+ * \brief A water infiltration problem with a low-permeability lens
+ *        embedded into a high-permeability domain.
+ *
+ * The domain is rectangular. The left and right boundaries are
+ * free-flow boundaries with fixed water pressure which corrosponds to
+ * a fixed saturation of \f$S_w = 0\f$ in the Richards model, the
+ * bottom boundary is closed. The top boundary is also closed except
+ * for an infiltration section, where water is infiltrating into an
+ * initially unsaturated porous medium. This problem is very similar
+ * the the \c LensProblem, with the main difference being that the domain
+ * is initally fully saturated by gas instead of water and water
+ * instead of a \c DNAPL infiltrates from the top.
+ */
+template <class TypeTag>
+class RichardsLensProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    enum {
+        // copy some indices for convenience
+        pressureWIdx = Indices::pressureWIdx,
+        contiWEqIdx = Indices::contiWEqIdx,
+
+        wPhaseIdx = GET_PROP_VALUE(TypeTag, LiquidPhaseIndex),
+        nPhaseIdx = 1 - wPhaseIdx,
+
+        numPhases = FluidSystem::numPhases,
+
+        // Grid and world dimension
+        dimWorld = GridView::dimensionworld
+    };
+
+    //get the material law from the property system
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    //! The parameters of the material law to be used
+    typedef typename MaterialLaw::Params MaterialLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldVector<Scalar, numPhases> PhaseVector;
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    RichardsLensProblem(TimeManager &timeManager)
+        : ParentType(timeManager,
+                     GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+        , pnRef_(1e5)
+    {
+        eps_ = 3e-6;
+        pnRef_ = 1e5;
+
+        lensLowerLeft_[0] = 1.0;
+        lensLowerLeft_[1] = 2.0;
+
+        lensUpperRight_[0] = 4.0;
+        lensUpperRight_[1] = 3.0;
+
+        // parameters for the Van Genuchten law
+        // alpha and n
+        lensMaterialParams_.setVgAlpha(0.00045);
+        lensMaterialParams_.setVgN(7.3);
+        outerMaterialParams_.setVgAlpha(0.0037);
+        outerMaterialParams_.setVgN(4.7);
+
+        // parameters for the linear law
+        // minimum and maximum pressures
+//        lensMaterialParams_.setEntryPC(0);
+//        outerMaterialParams_.setEntryPC(0);
+//        lensMaterialParams_.setMaxPC(0);
+//        outerMaterialParams_.setMaxPC(0);
+
+        lensK_ = this->toDimMatrix_(1e-12);
+        outerK_ = this->toDimMatrix_(5e-12);
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    { return "lens_richards"; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::temperature
+     */
+    template <class Context>
+    Scalar temperature(const Context &context, int spaceIdx, int timeIdx) const
+    { return 273.15 + 10; } // -> 10°C
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isInLens_(pos))
+            return lensK_;
+        return outerK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    { return 0.4; }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+        if (isInLens_(pos))
+            return lensMaterialParams_;
+        return outerMaterialParams_;
+    }
+
+    /*!
+     * \brief Return the reference pressure [Pa] of the wetting phase.
+     *
+     * \copydetails Doxygen::contextParams
+     */
+    template <class Context>
+    Scalar referencePressure(const Context &context, int spaceIdx, int timeIdx) const
+    { return pnRef_; }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos) ||
+            onRightBoundary_(pos))
+        {
+            const auto &materialParams = this->materialLawParams(context, spaceIdx, timeIdx);
+
+            Scalar Sw = 0.0;
+            Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+            fs.setSaturation(wPhaseIdx, Sw);
+            fs.setSaturation(nPhaseIdx, 1.0 - Sw);
+
+            PhaseVector pC;
+            MaterialLaw::capillaryPressures(pC, materialParams, fs);
+            fs.setPressure(wPhaseIdx, pnRef_ + pC[wPhaseIdx] - pC[nPhaseIdx]);
+            fs.setPressure(nPhaseIdx, pnRef_);
+
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else if (onInlet_(pos)) {
+            RateVector massRate(0.0);
+
+            // inflow of water
+            massRate[contiWEqIdx] = -0.04; // kg / (m * s)
+
+            values.setMassRate(massRate);
+        }
+        else
+            values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        const auto &materialParams = this->materialLawParams(context, spaceIdx, timeIdx);
+
+        Scalar Sw = 0.0;
+        Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+        fs.setSaturation(wPhaseIdx, Sw);
+        fs.setSaturation(nPhaseIdx, 1.0 - Sw);
+
+        PhaseVector pC;
+        MaterialLaw::capillaryPressures(pC, materialParams, fs);
+        values[pressureWIdx] = pnRef_ + (pC[wPhaseIdx] - pC[nPhaseIdx]);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate, const Context &context, int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    {
+        Scalar width = this->bboxMax()[0] - this->bboxMin()[0];
+        Scalar lambda = (this->bboxMax()[0] - pos[0])/width;
+        return onUpperBoundary_(pos) && 0.5 < lambda && lambda < 2.0/3.0;
+    }
+
+    bool isInLens_(const GlobalPosition &pos) const
+    {
+        for (int i = 0; i < dimWorld; ++i) {
+            if (pos[i] < lensLowerLeft_[i] || pos[i] > lensUpperRight_[i])
+                return false;
+        }
+        return true;
+    }
+
+    GlobalPosition lensLowerLeft_;
+    GlobalPosition lensUpperRight_;
+
+    DimMatrix lensK_;
+    DimMatrix outerK_;
+    MaterialLawParams lensMaterialParams_;
+    MaterialLawParams outerMaterialParams_;
+
+    Scalar eps_;
+    Scalar pnRef_;
+};
+} //end namespace
+
+#endif

tests/models/problems/stokes2ctestproblem.hh

@@ -0,0 +1,282 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *   Copyright (C) 2012 by Klaus Mosthaf                                     *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::Stokes2cTestProblem
+ */
+#ifndef EWOMS_STOKES_2C_TEST_PROBLEM_HH
+#define EWOMS_STOKES_2C_TEST_PROBLEM_HH
+
+#include <ewoms/models/stokes/stokesmodel.hh>
+#include <opm/material/fluidsystems/H2OAirFluidSystem.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+#include <dune/common/fvector.hh>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class Stokes2cTestProblem;
+
+//////////
+// Specify the properties for the stokes2c problem
+//////////
+namespace Properties {
+
+NEW_TYPE_TAG(Stokes2cTestProblem, INHERITS_FROM(VcfvStokes));
+
+// Set the grid type
+SET_TYPE_PROP(Stokes2cTestProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(Stokes2cTestProblem, Problem, Ewoms::Stokes2cTestProblem<TypeTag>);
+
+//! Select the fluid system
+SET_TYPE_PROP(Stokes2cTestProblem,
+              FluidSystem,
+              Opm::FluidSystems::H2OAir<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+//! Select the phase to be considered
+SET_INT_PROP(Stokes2cTestProblem,
+             StokesPhaseIndex,
+             GET_PROP_TYPE(TypeTag, FluidSystem)::gPhaseIdx);
+
+// Disable gravity
+SET_BOOL_PROP(Stokes2cTestProblem, EnableGravity, false);
+
+// Enable constraints
+SET_BOOL_PROP(Stokes2cTestProblem, EnableConstraints, true);
+
+// Default simulation end time [s]
+SET_SCALAR_PROP(Stokes2cTestProblem, EndTime, 2.0);
+
+// Default initial time step size [s]
+SET_SCALAR_PROP(Stokes2cTestProblem, InitialTimeStepSize, 0.1);
+
+// Default grid file to load
+SET_STRING_PROP(Stokes2cTestProblem, GridFile, "grids/test_stokes2c.dgf");
+}
+
+/*!
+ * \ingroup VcfvStokes2cModel
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Stokes transport problem with humid air flowing from the
+ *        left to the right.
+ *
+ * The domain is sized 1m times 1m. The boundaries are specified using
+ * constraints, with finite volumes on the left side of the domain
+ * exhibiting slightly higher humitiy than the ones on the right.
+ */
+template <class TypeTag>
+class Stokes2cTestProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    enum { dimWorld = GridView::dimensionworld };
+    enum { numComponents = FluidSystem::numComponents };
+    enum {
+        // copy some indices for convenience
+        conti0EqIdx = Indices::conti0EqIdx,
+        momentum0EqIdx = Indices::momentum0EqIdx,
+
+        velocity0Idx = Indices::velocity0Idx,
+        moleFrac1Idx = Indices::moleFrac1Idx,
+        pressureIdx = Indices::pressureIdx,
+
+        H2OIdx = FluidSystem::H2OIdx,
+        AirIdx = FluidSystem::AirIdx
+    };
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    Stokes2cTestProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 1e-6;
+
+        // initialize the tables of the fluid system
+        FluidSystem::init();
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    { return "stokes2ctest"; }
+
+    /*!
+     * \brief StokesProblem::temperature
+     *
+     * This problem assumes a temperature of 10 degrees Celsius.
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return 273.15 + 10; /* -> 10 deg C */ }
+
+    // \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     *
+     * This problem uses an out-flow boundary on the lower edge of the
+     * domain, no-flow on the left and right edges and constrains the
+     * upper edge.
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLowerBoundary_(pos))
+            values.setOutFlow(context, spaceIdx, timeIdx);
+        else if(onUpperBoundary_(pos)) {
+            // upper boundary is constraint!
+            values = 0.0;
+        }
+        else {
+            // left and right boundaries
+            values.setNoFlow(context, spaceIdx, timeIdx);
+        }
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     *
+     * For this method a parabolic velocity profile from left to
+     * right, atmospheric pressure and a mole fraction of water of
+     * 0.5% is set.
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
+        values = 0.0;
+
+        //parabolic profile
+        const Scalar v1 = 1.0;
+        values[velocity0Idx + 1] =
+            - v1*(globalPos[0] - this->bboxMin()[0])*(this->bboxMax()[0] - globalPos[0])
+            / (0.25*(this->bboxMax()[0] - this->bboxMin()[0])*(this->bboxMax()[0] - this->bboxMin()[0]));
+
+        Scalar moleFrac[numComponents];
+        if (onUpperBoundary_(globalPos))
+            moleFrac[H2OIdx] = 0.005;
+        else
+            moleFrac[H2OIdx] = 0.007;
+        moleFrac[AirIdx] = 1.0 - moleFrac[H2OIdx];
+
+        values[pressureIdx] = 1e5;
+        values[velocity0Idx + 0] = 0.0;
+        values[moleFrac1Idx] = moleFrac[1];
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all conserved quantities
+     * is 0 everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     *
+     * In this problem, the method sets the domain's lower edge to
+     * initial conditions.
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onUpperBoundary_(pos)) {
+            PrimaryVariables initCond;
+            initial(initCond, context, spaceIdx, timeIdx);
+
+            constraints.setConstraint(pressureIdx, conti0EqIdx, initCond[pressureIdx]);;
+            constraints.setConstraint(moleFrac1Idx, conti0EqIdx + 1, initCond[moleFrac1Idx]);
+            for (int axisIdx = 0; axisIdx < dimWorld; ++axisIdx)
+                constraints.setConstraint(velocity0Idx + axisIdx,
+                                          momentum0EqIdx + axisIdx,
+                                          initCond[velocity0Idx + axisIdx]);
+        }
+    }
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] > this->bboxMax()[1] - eps_; }
+
+    Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/problems/stokesnitestproblem.hh

@@ -0,0 +1,315 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \copydoc Ewoms::StokesNITestProblem
+ */
+#ifndef EWOMS_STOKES_NI_TEST_PROBLEM_HH
+#define EWOMS_STOKES_NI_TEST_PROBLEM_HH
+
+#include <ewoms/models/stokes/stokesmodel.hh>
+#include <ewoms/io/simplexgridcreator.hh>
+#include <opm/material/fluidsystems/H2OAirFluidSystem.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+#include <dune/common/fvector.hh>
+
+namespace Ewoms
+{
+
+template <class TypeTag>
+class StokesNITestProblem;
+
+//////////
+// Specify the properties for the stokes problem
+//////////
+namespace Properties
+{
+NEW_TYPE_TAG(StokesNITestProblem, INHERITS_FROM(VcfvStokes));
+
+// Set the grid type
+SET_TYPE_PROP(StokesNITestProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(StokesNITestProblem, Problem, StokesNITestProblem<TypeTag>);
+
+//! Select the fluid system
+SET_TYPE_PROP(StokesNITestProblem,
+              FluidSystem,
+              Opm::FluidSystems::H2OAir<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+//! Select the phase to be considered
+SET_INT_PROP(StokesNITestProblem,
+             StokesPhaseIndex,
+             GET_PROP_TYPE(TypeTag, FluidSystem)::gPhaseIdx);
+
+// Enable gravity
+SET_BOOL_PROP(StokesNITestProblem, EnableGravity, true);
+
+// Enable the energy equation
+SET_BOOL_PROP(StokesNITestProblem, EnableEnergy, true);
+
+// Enable constraints
+SET_BOOL_PROP(StokesNITestProblem, EnableConstraints, true);
+
+// Default simulation end time [s]
+SET_SCALAR_PROP(StokesNITestProblem, EndTime, 3.0);
+
+// Default initial time step size [s]
+SET_SCALAR_PROP(StokesNITestProblem, InitialTimeStepSize, 0.1);
+
+// Default grid file to load
+SET_STRING_PROP(StokesNITestProblem, GridFile, "grids/test_stokes2cni.dgf");
+}
+
+/*!
+ * \ingroup VcfvStokesNIModel
+ * \ingroup VcfvTestProblems
+ * \brief StokesNI problem with air (N2) flowing
+ *        from the left to the right.
+ *
+ * The domain of this problem is 1m times 1m. The upper and the lower
+ * boundaries are fixed to the initial condition by means of
+ * constraints, the left and the right boundaries are no-slip
+ * conditions.
+ */
+template <class TypeTag>
+class StokesNITestProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+
+    enum { // Number of equations and grid dimension
+        numEq = GET_PROP_VALUE(TypeTag, NumEq),
+        dimWorld = GridView::dimensionworld
+    };
+    enum {
+        // primary variable indices
+        pressureIdx = Indices::pressureIdx,
+        moleFrac1Idx = Indices::moleFrac1Idx,
+        velocity0Idx = Indices::velocity0Idx,
+        temperatureIdx = Indices::temperatureIdx,
+
+        // equation indices
+        conti0EqIdx = Indices::conti0EqIdx,
+        momentum0EqIdx = Indices::momentum0EqIdx,
+        energyEqIdx = Indices::energyEqIdx
+    };
+    enum { numComponents = FluidSystem::numComponents };
+    enum { H2OIdx = FluidSystem::H2OIdx };
+    enum { AirIdx = FluidSystem::AirIdx };
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldVector<Scalar, dimWorld> DimVector;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    StokesNITestProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        eps_ = 1e-6;
+
+        // initialize the tables of the fluid system
+        FluidSystem::init(/*Tmin=*/280.0, /*Tmax=*/285, /*nT=*/10,
+                          /*pmin=*/1e5, /*pmax=*/1e5 + 100, /*np=*/200);
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    { return "stokestest_ni"; }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx,
+                  int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onUpperBoundary_(pos))
+            values.setOutFlow(context, spaceIdx, timeIdx);
+        else if(onLowerBoundary_(pos)) {
+            // lower boundary is constraint!
+            values = 0.0;
+        }
+        else {
+            // left and right
+            values.setNoFlow(context, spaceIdx, timeIdx);
+        }
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    // \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        Scalar moleFrac[numComponents];
+
+        moleFrac[H2OIdx] = 1e-4;
+        Scalar temperature = 283.15;
+        if (inLens_(pos)) {
+            moleFrac[H2OIdx] = 0.9e-4;
+            temperature = 284.15;
+        };
+        moleFrac[AirIdx] = 1 - moleFrac[H2OIdx];
+
+
+        // parabolic velocity profile
+        Scalar y = this->bboxMax()[1] - pos[1];
+        Scalar x = pos[0] - this->bboxMin()[0];
+        Scalar width = this->bboxMax()[0] - this->bboxMin()[0];
+
+        // parabolic velocity profile
+        const Scalar maxVelocity = 1.0;
+
+        Scalar a = - 4*maxVelocity/(width*width);
+        Scalar b = - a*width;
+        Scalar c = 0;
+
+        DimVector velocity(0.0);
+        velocity[1] = a * x*x + b * x + c;
+
+        // hydrostatic pressure
+        Scalar rho = 1.189;
+        Scalar pressure = 1e5 - rho*this->gravity()[1]*y;
+
+        for (int axisIdx = 0; axisIdx < dimWorld; ++ axisIdx)
+            values[velocity0Idx + axisIdx] = velocity[axisIdx];
+
+        values[pressureIdx] = pressure;
+        values[moleFrac1Idx] = moleFrac[1];
+        values[temperatureIdx] = temperature;
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all conserved quantities
+     * is 0 everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     *
+     * This problem sets temperature constraints for the finite volumes
+     * adjacent to the inlet.
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLowerBoundary_(pos) || onUpperBoundary_(pos))
+        {
+            PrimaryVariables initCond;
+            initial(initCond, context, spaceIdx, timeIdx);
+
+            constraints.setConstraint(temperatureIdx, energyEqIdx, initCond[temperatureIdx]);;
+            constraints.setConstraint(pressureIdx, conti0EqIdx, initCond[pressureIdx]);
+            constraints.setConstraint(moleFrac1Idx, conti0EqIdx+1, initCond[moleFrac1Idx]);;
+            for (int axisIdx = 0; axisIdx < dimWorld; ++axisIdx)
+                constraints.setConstraint(velocity0Idx + axisIdx,
+                                          momentum0EqIdx + axisIdx,
+                                          initCond[momentum0EqIdx + axisIdx]);
+        }
+    }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onBoundary_(const GlobalPosition &pos) const
+    {
+        return onLeftBoundary_(pos)
+            || onRightBoundary_(pos)
+            || onLowerBoundary_(pos)
+            || onUpperBoundary_(pos);
+    }
+
+    bool inLens_(const GlobalPosition &pos) const
+    {
+        return
+            pos[0]<0.75 && pos[0]>0.25 &&
+            pos[1]<0.75 && pos[1]>0.25;
+    }
+
+    Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/problems/stokestestproblem.hh

@@ -0,0 +1,299 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Andreas Lauser                                    *
+ *   Copyright (C) 2012 by Klaus Mosthaf                                     *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::StokesTestProblem
+ */
+#ifndef EWOMS_STOKES_TEST_PROBLEM_HH
+#define EWOMS_STOKES_TEST_PROBLEM_HH
+
+#include <ewoms/models/stokes/stokesmodel.hh>
+
+#include <opm/material/fluidsystems/H2ON2FluidSystem.hpp>
+#include <opm/material/fluidsystems/GasPhase.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+#include <dune/common/fvector.hh>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class StokesTestProblem;
+
+//////////
+// Specify the properties for the stokes problem
+//////////
+namespace Properties {
+
+NEW_TYPE_TAG(StokesTestProblem, INHERITS_FROM(VcfvStokes));
+
+// Set the grid type
+SET_TYPE_PROP(StokesTestProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(StokesTestProblem, Problem, Ewoms::StokesTestProblem<TypeTag>);
+
+// Use the default fluid system of the Stokes model. It requires to
+// specify a fluid, though.
+SET_PROP(StokesTestProblem, Fluid)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+public:
+    typedef Opm::GasPhase<Scalar, Opm::N2<Scalar> > type;
+};
+
+// Disable gravity
+SET_BOOL_PROP(StokesTestProblem, EnableGravity, false);
+
+// Enable constraints
+SET_BOOL_PROP(StokesTestProblem, EnableConstraints, true);
+
+// Default simulation end time [s]
+SET_SCALAR_PROP(StokesTestProblem, EndTime, 10.0);
+
+// Default initial time step size [s]
+SET_SCALAR_PROP(StokesTestProblem, InitialTimeStepSize, 10.0);
+
+// Default grid file to load
+SET_STRING_PROP(StokesTestProblem, GridFile, "grids/test_stokes.dgf");
+}
+
+/*!
+ * \ingroup VcfvStokesModel
+ * \ingroup VcfvTestProblems
+ *
+ * \brief Stokes flow problem with nitrogen (\f$N_2\f$) flowing
+ *        from the left to the right.
+ *
+ * The domain is sized 1m times 1m. The boundary conditions for the
+ * momentum balances are set to outflow on the right boundary and to
+ * no-flow at the top and bottom of the domain. For the mass balance
+ * equation, outflow boundary conditions are assumed on the right,
+ * free-flow on the left and no-flow at the top and bottom boundaries.
+ */
+template <class TypeTag>
+class StokesTestProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, Fluid) Fluid;
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+
+    enum {
+        // Number of equations and grid dimension
+        dimWorld = GridView::dimensionworld,
+
+        // equation indices
+        conti0EqIdx = Indices::conti0EqIdx,
+        momentum0EqIdx = Indices::momentum0EqIdx,
+
+        // primary variable indices
+        velocity0Idx = Indices::velocity0Idx,
+        pressureIdx = Indices::pressureIdx
+    };
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+    typedef Dune::FieldVector<Scalar, dimWorld> DimVector;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    StokesTestProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    { eps_ = 1e-6; }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    const char *name() const
+    { return "stokestest"; }
+
+    /*!
+     * \brief StokesProblem::temperature
+     *
+     * This problem assumes a constant temperature of 10 degrees Celsius.
+     */
+    template <class Context>
+    Scalar temperature(const Context &context,
+                       int spaceIdx, int timeIdx) const
+    { return 273.15 + 10; } // -> 10 deg C
+
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     *
+     * For this problem, we use an out-flow boundary on the right,
+     * no-flow at the top and at the bottom and the left boundary gets
+     * a parabolic velocity profile via constraints.
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        Scalar y = pos[1] - this->bboxMin()[1];
+        Scalar height = this->bboxMax()[1] - this->bboxMin()[1];
+
+        // parabolic velocity profile
+        const Scalar maxVelocity = 1.0;
+
+        Scalar a = - 4*maxVelocity/(height*height);
+        Scalar b = - a*height;
+        Scalar c = 0;
+
+        DimVector velocity(0.0);
+        velocity[0] = a * y*y + b * y + c;
+
+        if (onRightBoundary_(pos))
+            values.setOutFlow(context, spaceIdx, timeIdx);
+        else if(onLeftBoundary_(pos)) {
+            // left boundary is constraint!
+            values = 0.0;
+        }
+        else {
+            // top and bottom
+            values.setNoFlow(context, spaceIdx, timeIdx);
+        }
+    }
+
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values,
+                 const Context &context,
+                 int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        Scalar y = pos[1] - this->bboxMin()[1];
+        Scalar height = this->bboxMax()[1] - this->bboxMin()[1];
+
+        // parabolic velocity profile on boundaries
+        const Scalar maxVelocity = 1.0;
+
+        Scalar a = - 4*maxVelocity/(height*height);
+        Scalar b = - a*height;
+        Scalar c = 0;
+
+        DimVector velocity(0.0);
+        velocity[0] = a * y*y + b * y + c;
+
+        for (int axisIdx = 0; axisIdx < dimWorld; ++axisIdx)
+            values[velocity0Idx + axisIdx] = velocity[axisIdx];
+        values[pressureIdx] = 1e5;
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all conserved quantities
+     * is 0 everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context,
+                int spaceIdx, int timeIdx) const
+    { rate = Scalar(0.0); }
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     *
+     * For this problem, the left side of the domain gets a parabolic
+     * velocity profile using constraints.
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onLeftBoundary_(pos) || onRightBoundary_(pos)) {
+            PrimaryVariables initCond;
+            initial(initCond, context, spaceIdx, timeIdx);
+
+            constraints.setConstraint(pressureIdx, conti0EqIdx, initCond[pressureIdx]);;
+            for (int axisIdx = 0; axisIdx < dimWorld; ++axisIdx)
+                constraints.setConstraint(velocity0Idx + axisIdx,
+                                          momentum0EqIdx + axisIdx,
+                                          initCond[velocity0Idx + axisIdx]);
+        }
+    }
+
+    //! \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < this->bboxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < this->bboxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onBoundary_(const GlobalPosition &pos) const
+    {
+        return
+            onLeftBoundary_(pos) || onRightBoundary_(pos) ||
+            onLowerBoundary_(pos) || onUpperBoundary_(pos);
+    }
+
+    Scalar eps_;
+};
+
+} //end namespace
+
+#endif

tests/models/problems/waterairproblem.hh

@@ -0,0 +1,537 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \copydoc Ewoms::WaterAirProblem
+ */
+#ifndef EWOMS_WATER_AIR_PROBLEM_HH
+#define EWOMS_WATER_AIR_PROBLEM_HH
+
+#include <ewoms/models/pvs/pvsproperties.hh>
+
+#include <opm/material/fluidsystems/H2OAirFluidSystem.hpp>
+#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
+#include <opm/material/fluidstates/CompositionalFluidState.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/LinearMaterial.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/RegularizedBrooksCorey.hpp>
+#include <opm/material/fluidmatrixinteractions/2p/EffToAbsLaw.hpp>
+#include <opm/material/fluidmatrixinteractions/mp/2pAdapter.hpp>
+#include <opm/material/heatconduction/Somerton.hpp>
+#include <opm/material/constraintsolvers/ComputeFromReferencePhase.hpp>
+
+#include <dune/grid/io/file/dgfparser/dgfug.hh>
+#include <dune/grid/io/file/dgfparser/dgfs.hh>
+#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+
+#include <sstream>
+#include <string>
+
+namespace Ewoms {
+
+template <class TypeTag>
+class WaterAirProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(WaterAirBaseProblem);
+
+// Set the grid type
+SET_TYPE_PROP(WaterAirBaseProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(WaterAirBaseProblem, Problem, Ewoms::WaterAirProblem<TypeTag>);
+
+// Set the material Law
+SET_PROP(WaterAirBaseProblem, MaterialLaw)
+{
+private:
+    // define the material law which is parameterized by effective
+    // saturations
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef Opm::RegularizedBrooksCorey<Scalar> EffMaterialLaw;
+
+    // define the material law parameterized by absolute saturations
+    // which uses the two-phase API
+    typedef Opm::EffToAbsLaw<EffMaterialLaw> TwoPMaterialLaw;
+
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    enum { lPhaseIdx = FluidSystem::lPhaseIdx };
+
+public:
+    // define the type of the generic material law
+    typedef Opm::TwoPAdapter<lPhaseIdx, TwoPMaterialLaw> type;
+};
+
+// Set the heat conduction law
+SET_PROP(WaterAirBaseProblem, HeatConductionLaw)
+{
+private:
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+
+public:
+    // define the material law parameterized by absolute saturations
+    typedef Opm::Somerton<FluidSystem, Scalar> type;
+};
+
+// Set the fluid system. in this case, we use the one which describes
+// air and water
+SET_TYPE_PROP(WaterAirBaseProblem, FluidSystem,
+              Opm::FluidSystems::H2OAir<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+// Enable gravity
+SET_BOOL_PROP(WaterAirBaseProblem, EnableGravity, true);
+
+// Enable constraints
+SET_BOOL_PROP(WaterAirBaseProblem, EnableConstraints, true);
+
+// Use forward differences instead of central differences
+SET_INT_PROP(WaterAirBaseProblem, NumericDifferenceMethod, +1);
+
+// Write newton convergence
+SET_BOOL_PROP(WaterAirBaseProblem, NewtonWriteConvergence, false);
+
+// The default for the end time of the simulation
+SET_SCALAR_PROP(WaterAirBaseProblem, EndTime, 5e3);
+
+// The default for the initial time step size of the simulation
+SET_SCALAR_PROP(WaterAirBaseProblem, InitialTimeStepSize, 250);
+
+// The default DGF file to load
+SET_STRING_PROP(WaterAirBaseProblem, GridFile, "./grids/waterair.dgf");
+}
+
+
+/*!
+ * \ingroup VcfvTestProblems
+ * \brief Non-isothermal gas injection problem where a air
+ *        is injected into a fully water saturated medium.
+ *
+ * During buoyancy driven upward migration, the gas passes a
+ * rectangular high temperature area. This decreases the temperature
+ * of the high-temperature area and accelerates gas infiltration due
+ * to the lower viscosity of the gas. (Be aware that the pressure of
+ * the gas is approximately constant within the lens, so the density
+ * of the gas is reduced. This more than off-sets the viscosity
+ * increase of the gas at constant density.)
+ *
+ * The domain is sized 40 m times 40 m. The rectangular area with
+ * increased temperature (380 K) starts at (20 m, 5 m) and ends at (30
+ * m, 35 m).
+ *
+ * For the mass conservation equation, no-flow boundary conditions are
+ * used on the top and on the bottom of the domain, while free-flow
+ * conditions apply on the left and the right boundary. Gas is
+ * injected at bottom from 15 m to 25 m at a rate of 0.001 kg/(s m^2)
+ * by means if a forced inflow boundary condition.
+ *
+ * At the free-flow boundaries, the initial condition for the bulk
+ * part of the domain is assumed, i. e.  hydrostatic pressure, a gas
+ * saturation of zero and a geothermal temperature gradient of 0.03
+ * K/m.
+ */
+template <class TypeTag >
+class WaterAirProblem
+    : public GET_PROP_TYPE(TypeTag, BaseProblem)
+{
+    typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
+
+    typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+    typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+    typedef typename GridView::Grid Grid;
+
+    // copy some indices for convenience
+    typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
+    typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
+    enum {
+        numPhases = FluidSystem::numPhases,
+
+        // energy related indices
+        temperatureIdx = Indices::temperatureIdx,
+        energyEqIdx = Indices::energyEqIdx,
+
+        // component indices
+        H2OIdx = FluidSystem::H2OIdx,
+        AirIdx = FluidSystem::AirIdx,
+
+        // phase indices
+        lPhaseIdx = FluidSystem::lPhaseIdx,
+        gPhaseIdx = FluidSystem::gPhaseIdx,
+
+        // equation indices
+        conti0EqIdx = Indices::conti0EqIdx,
+
+        // Grid and world dimension
+        dim = GridView::dimension,
+        dimWorld = GridView::dimensionworld
+    };
+
+    typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
+    typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+    typedef typename GET_PROP_TYPE(TypeTag, Constraints) Constraints;
+    typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
+
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLaw) HeatConductionLaw;
+    typedef typename GET_PROP_TYPE(TypeTag, HeatConductionLawParams) HeatConductionLawParams;
+
+    typedef typename GridView::ctype CoordScalar;
+    typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
+
+    typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
+
+public:
+    /*!
+     * \copydoc Doxygen::defaultProblemConstructor
+     */
+    WaterAirProblem(TimeManager &timeManager)
+        : ParentType(timeManager, GET_PROP_TYPE(TypeTag, GridCreator)::grid().leafView())
+    {
+        maxDepth_ = 1000.0; // [m]
+        eps_ = 1e-6;
+
+        FluidSystem::init(/*Tmin=*/275, /*Tmax=*/600, /*nT=*/100,
+                          /*pmin=*/9.5e6, /*pmax=*/10.5e6, /*np=*/200);
+
+        layerBottom_ = 22.0;
+
+        // intrinsic permeabilities
+        fineK_ = this->toDimMatrix_(1e-13);
+        coarseK_ = this->toDimMatrix_(1e-12);
+
+        // porosities
+        finePorosity_ = 0.3;
+        coarsePorosity_ = 0.3;
+
+        // residual saturations
+        fineMaterialParams_.setSwr(0.2);
+        fineMaterialParams_.setSnr(0.0);
+        coarseMaterialParams_.setSwr(0.2);
+        coarseMaterialParams_.setSnr(0.0);
+
+        // parameters for the Brooks-Corey law
+        fineMaterialParams_.setPe(1e4);
+        coarseMaterialParams_.setPe(1e4);
+        fineMaterialParams_.setLambda(2.0);
+        coarseMaterialParams_.setLambda(2.0);
+
+        // parameters for the somerton law of heat conduction
+        computeHeatCondParams_(fineHeatCondParams_, finePorosity_);
+        computeHeatCondParams_(coarseHeatCondParams_, coarsePorosity_);
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::name
+     */
+    std::string name() const
+    {
+        std::ostringstream oss;
+        oss << "waterair_" << this->model().name();
+        if (GET_PROP_VALUE(TypeTag, EnableEnergy))
+            oss << "_ni";
+
+        return oss.str();
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::intrinsicPermeability
+     *
+     * In this problem, the upper part of the domain is sightly less
+     * permeable than the lower one.
+     */
+    template <class Context>
+    const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineK_;
+        return coarseK_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::porosity
+     */
+    template <class Context>
+    Scalar porosity(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return finePorosity_;
+        else
+            return coarsePorosity_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::materialLawParams
+     */
+    template <class Context>
+    const MaterialLawParams& materialLawParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineMaterialParams_;
+        else
+            return coarseMaterialParams_;
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatCapacitySolid
+     *
+     * In this case, we assume the rock-matrix to be granite.
+     */
+    template <class Context>
+    Scalar heatCapacitySolid(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        return
+            790 // specific heat capacity of granite [J / (kg K)]
+            * 2700; // density of granite [kg/m^3]
+    }
+
+    /*!
+     * \copydoc VcfvMultiPhaseProblem::heatConductionParams
+     */
+    template <class Context>
+    const HeatConductionLawParams&
+    heatConductionParams(const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+        if (isFineMaterial_(pos))
+            return fineHeatCondParams_;
+        return coarseHeatCondParams_;
+    }
+
+    //! \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::boundary
+     *
+     * For this problem, we inject air at the inlet on the center of
+     * the lower domain boundary and use a no-flow condition on the
+     * top boundary and a and a free-flow condition on the left and
+     * right boundaries of the domain.
+     */
+    template <class Context>
+    void boundary(BoundaryRateVector &values,
+                  const Context &context,
+                  int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.cvCenter(spaceIdx, timeIdx);
+        assert(onLeftBoundary_(pos) ||
+               onLowerBoundary_(pos) ||
+               onRightBoundary_(pos) ||
+               onUpperBoundary_(pos));
+
+        if (onInlet_(pos)) {
+            RateVector massRate(0.0);
+            massRate[conti0EqIdx + AirIdx] = -1e-3; // [kg/(m^2 s)]
+
+            // impose an forced inflow boundary condition on the inlet
+            values.setMassRate(massRate);
+        }
+        else if (onLeftBoundary_(pos) || onRightBoundary_(pos)) {
+            //int globalIdx = context.elemContext().globalSpaceIndex(context.insideScvIndex(spaceIdx,timeIdx), timeIdx);
+
+            Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+            initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+            // impose an freeflow boundary condition
+            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
+        }
+        else
+            // no flow on top and bottom
+            values.setNoFlow();
+    }
+
+    //! \}
+
+    /*!
+     * \name Volume terms
+     */
+    //! \{
+
+    /*!
+     * \copydoc VcfvProblem::initial
+     *
+     * For this problem, we set the medium to be fully saturated by
+     * liquid water and assume hydrostatic pressure.
+     */
+    template <class Context>
+    void initial(PrimaryVariables &values, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        //int globalIdx = context.globalSpaceIndex(spaceIdx, timeIdx);
+
+        Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
+        initialFluidState_(fs, context, spaceIdx, timeIdx);
+
+        const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+        values.assignMassConservative(fs, matParams, /*inEquilibrium=*/true);
+    }
+
+    /*!
+     * \copydoc VcfvProblem::constraints
+     *
+     * In this problem, constraints are used to keep the temperature
+     * of the finite-volumes which are closest to the inlet constant.
+     */
+    template <class Context>
+    void constraints(Constraints &constraints,
+                     const Context &context,
+                     int spaceIdx, int timeIdx) const
+    {
+        const auto &pos = context.pos(spaceIdx, timeIdx);
+
+        if (onInlet_(pos)) {
+            constraints.setConstraint(temperatureIdx, energyEqIdx, 380);;
+        }
+    }
+
+    /*!
+     * \copydoc VcfvProblem::source
+     *
+     * For this problem, the source term of all components is 0
+     * everywhere.
+     */
+    template <class Context>
+    void source(RateVector &rate,
+                const Context &context, int spaceIdx, int timeIdx) const
+    { rate = 0; }
+
+    //! \}
+
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &pos) const
+    { return pos[0] < eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &pos) const
+    { return pos[0] > this->bboxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &pos) const
+    { return pos[1] < eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &pos) const
+    { return pos[1] > this->bboxMax()[1] - eps_; }
+
+    bool onInlet_(const GlobalPosition &pos) const
+    { return onLowerBoundary_(pos) && (15.0 < pos[0]) && (pos[0] < 25.0); }
+
+    bool inHighTemperatureRegion_(const GlobalPosition &pos) const
+    { return (20 < pos[0]) && (pos[0] < 30) && (pos[1] < 30); }
+
+    template <class Context, class FluidState>
+    void initialFluidState_(FluidState &fs, const Context &context, int spaceIdx, int timeIdx) const
+    {
+        const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
+
+        Scalar densityW = 1000.0;
+        fs.setPressure(lPhaseIdx, 1e5 + (maxDepth_ - pos[1])*densityW*9.81);
+        fs.setSaturation(lPhaseIdx, 1.0);
+        fs.setMoleFraction(lPhaseIdx, H2OIdx, 1.0);
+        fs.setMoleFraction(lPhaseIdx, AirIdx, 0.0);
+
+        if (inHighTemperatureRegion_(pos))
+            fs.setTemperature(380);
+        else
+            fs.setTemperature(283.0 + (maxDepth_ - pos[1])*0.03);
+
+        // set the gas saturation and pressure
+        fs.setSaturation(gPhaseIdx, 0);
+        Scalar pc[numPhases];
+        const auto &matParams = materialLawParams(context, spaceIdx, timeIdx);
+        MaterialLaw::capillaryPressures(pc, matParams, fs);
+        fs.setPressure(gPhaseIdx, fs.pressure(lPhaseIdx) + (pc[gPhaseIdx] - pc[lPhaseIdx]));
+
+        typename FluidSystem::ParameterCache paramCache;
+        typedef Opm::ComputeFromReferencePhase<Scalar, FluidSystem> CFRP;
+        CFRP::solve(fs, paramCache, lPhaseIdx, /*setViscosity=*/false,  /*setEnthalpy=*/true);
+    }
+
+    void computeHeatCondParams_(HeatConductionLawParams &params, Scalar poro)
+    {
+        Scalar lambdaGranite = 2.8; // [W / (K m)]
+
+        // create a Fluid state which has all phases present
+        Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
+        fs.setTemperature(293.15);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            fs.setPressure(phaseIdx, 1.0135e5);
+        }
+
+        typename FluidSystem::ParameterCache paramCache;
+        paramCache.updateAll(fs);
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            Scalar rho = FluidSystem::density(fs, paramCache, phaseIdx);
+            fs.setDensity(phaseIdx, rho);
+        }
+
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            Scalar lambdaSaturated;
+            if (FluidSystem::isLiquid(phaseIdx)) {
+                Scalar lambdaFluid =
+                    FluidSystem::thermalConductivity(fs, paramCache, phaseIdx);
+                lambdaSaturated = std::pow(lambdaGranite, (1-poro)) + std::pow(lambdaFluid, poro);
+            }
+            else
+                lambdaSaturated = std::pow(lambdaGranite, (1-poro));
+
+            params.setFullySaturatedLambda(phaseIdx, lambdaSaturated);
+            if (!FluidSystem::isLiquid(phaseIdx))
+                params.setVacuumLambda(lambdaSaturated);
+        }
+    }
+
+    bool isFineMaterial_(const GlobalPosition &pos) const
+    { return pos[dim-1] > layerBottom_; }
+
+    DimMatrix fineK_;
+    DimMatrix coarseK_;
+    Scalar layerBottom_;
+
+    Scalar finePorosity_;
+    Scalar coarsePorosity_;
+
+    MaterialLawParams fineMaterialParams_;
+    MaterialLawParams coarseMaterialParams_;
+
+    HeatConductionLawParams fineHeatCondParams_;
+    HeatConductionLawParams coarseHeatCondParams_;
+
+    Scalar maxDepth_;
+    Scalar eps_;
+};
+} //end namespace
+
+#endif

tests/models/reservoir_blackoil.cc

@@ -0,0 +1,39 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the black-oil VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/blackoil/blackoilmodel.hh>
+#include "problems/reservoirproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(ReservoirProblem, INHERITS_FROM(VcfvBlackOil, ReservoirBaseProblem));
+}}
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(ReservoirProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/test_navierstokes.cc

@@ -0,0 +1,33 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012 by Christoph Grueninger                              *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief Test for the isothermal Navier-Stokes VCVF discretization; this test case is
+ *        known as lid-driven cavity-flow in literature.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include "problems/navierstokestestproblem.hh"
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(NavierStokesTestProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/test_quadrature.cc

@@ -0,0 +1,341 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2012-2013 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief A test for numerical integration using the vertex-centered finite volume geometries.
+ */
+#include "config.h"
+
+#include <dune/common/exceptions.hh>
+#include <dune/grid/yaspgrid.hh>
+#include <dune/grid/io/file/vtk/vtkwriter.hh>
+
+#if HAVE_ALUGRID
+#include <dune/grid/alugrid.hh>
+#endif // HAVE_ALUGRID
+
+#include <dune/common/version.hh>
+#include <dune/geometry/quadraturerules.hh>
+
+#include <ewoms/disc/vcfv/vcfvelementgeometry.hh>
+
+const unsigned dim = 3;
+typedef double Scalar;
+typedef Ewoms::QuadrialteralQuadratureGeometry<Scalar, dim> QuadratureGeom;
+typedef QuadratureGeom::LocalPosition LocalPosition;
+typedef QuadratureGeom::GlobalPosition GlobalPosition;
+
+GlobalPosition::field_type f(const GlobalPosition &pos)
+{
+    GlobalPosition::field_type result = 1;
+    for (int i = 0; i < GlobalPosition::dimension; ++i)
+        result *= pos[i];
+    return result;
+}
+
+void testIdenityMapping()
+{
+    QuadratureGeom foo;
+
+    Scalar corners[][3] = {
+        { 0, 0, 0 },
+        { 1, 0, 0 },
+        { 0, 1, 0 },
+        { 1, 1, 0 },
+        { 0, 0, 1 },
+        { 1, 0, 1 },
+        { 0, 1, 1 },
+        { 1, 1, 1 }
+    };
+    foo.setCorners(corners, 8);
+
+    std::cout << "testing identity mapping...\n";
+    int n = 100;
+    for (int i = 0; i < n; ++i) {
+        for (int j = 0; j < n; ++j) {
+            for (int k = 0; k < n; ++k) {
+                LocalPosition localPos;
+
+                localPos[0] = Scalar(i)/(n - 1);
+                localPos[1] = Scalar(j)/(n - 1);
+                localPos[2] = Scalar(k)/(n - 1);
+
+                GlobalPosition globalPos = foo.global(localPos);
+
+                GlobalPosition diff(localPos);
+                diff -= globalPos;
+                assert(diff.two_norm() < 1e-10);
+            }
+        }
+    }
+}
+
+template <class Grid>
+void writeTetrahedronSubControlVolumes(const Grid &grid)
+{
+#if HAVE_ALUGRID
+    typedef typename Grid::LeafGridView GridView;
+
+    typedef Dune::ALUGrid<dim, dim, Dune::cube, Dune::nonconforming> Grid2;
+    typedef typename Grid2::LeafGridView GridView2;
+    typedef Dune::GridFactory<Grid2> GridFactory2;
+
+    // instanciate a ElementGeometry
+    typedef Ewoms::VcfvElementGeometry<Scalar, GridView> FvElementGeometry;
+    FvElementGeometry fvElemGeom;
+
+    GridFactory2 gf2;
+    const auto &gridView = grid.leafView();
+    auto eIt = gridView.template begin<0>();
+    const auto &eEndIt = gridView.template end<0>();
+    for (; eIt != eEndIt; ++eIt) {
+        fvElemGeom.update(gridView, *eIt);
+        for (int scvIdx = 0; scvIdx < fvElemGeom.numVertices; ++scvIdx) {
+            const auto &scvLocalGeom = *(fvElemGeom.subContVol[scvIdx].localGeometry);
+
+            for (int i = 0; i < scvLocalGeom.numCorners; ++ i) {
+                GlobalPosition pos(eIt->geometry().global(scvLocalGeom.corner(i)));
+                gf2.insertVertex(pos);
+            }
+        }
+    }
+
+    int cornerOffset = 0;
+    eIt = gridView.template begin<0>();
+    for (; eIt != eEndIt; ++eIt) {
+        fvElemGeom.update(gridView, *eIt);
+        for (int scvIdx = 0; scvIdx < fvElemGeom.numVertices; ++scvIdx) {
+            const auto &scvLocalGeom = *fvElemGeom.subContVol[scvIdx].localGeometry;
+
+            std::vector<unsigned int> vertexIndices;
+            for (int i = 0; i < scvLocalGeom.numCorners; ++ i) {
+                vertexIndices.push_back(cornerOffset);
+                ++ cornerOffset;
+            }
+
+            gf2.insertElement(Dune::GeometryType(Dune::GeometryType::cube,dim),
+                              vertexIndices);
+        }
+    }
+
+    const auto &grid2 = *gf2.createGrid();
+    typedef Dune::VTKWriter<GridView2> VtkWriter;
+    VtkWriter writer(grid2.leafView(), Dune::VTK::conforming);
+    writer.write("tetrahedron-scvs", Dune::VTK::ascii);
+#endif // HAVE_ALUGRID
+}
+
+void testTetrahedron()
+{
+#if HAVE_ALUGRID
+    typedef Dune::ALUGrid<dim, dim, Dune::simplex, Dune::nonconforming> Grid;
+    typedef Dune::GridFactory<Grid> GridFactory;
+    GridFactory gf;
+    Scalar corners[][3] = {
+        { 0, 0, 0 },
+        { 1, 0, 0 },
+        { 0, 1, 0 },
+        { 0, 0, 1 }
+    };
+
+    for (unsigned i = 0; i < sizeof(corners)/sizeof(corners[0]); ++i) {
+        GlobalPosition pos;
+        for (unsigned j = 0; j < dim; ++j)
+            pos[j] = corners[i][j];
+        gf.insertVertex(pos);
+    }
+    std::vector<unsigned int> v = { 0, 1, 2, 3 };
+    gf.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,dim),
+                     v);
+    auto *grid = gf.createGrid();
+
+    // write the sub-control volumes to a VTK file.
+    writeTetrahedronSubControlVolumes(*grid);
+
+    delete grid;
+#endif // HAVE_ALUGRID
+}
+
+template <class Grid>
+void writeCubeSubControlVolumes(const Grid &grid)
+{
+#if HAVE_ALUGRID
+    typedef typename Grid::LeafGridView GridView;
+
+    typedef Dune::ALUGrid<dim, dim, Dune::cube, Dune::nonconforming> Grid2;
+    typedef typename Grid2::LeafGridView GridView2;
+    typedef Dune::GridFactory<Grid2> GridFactory2;
+
+    // instanciate a ElementGeometry
+    typedef Ewoms::VcfvElementGeometry<Scalar, GridView> FvElementGeometry;
+    FvElementGeometry fvElemGeom;
+
+    GridFactory2 gf2;
+    const auto &gridView = grid.leafView();
+    auto eIt = gridView.template begin<0>();
+    const auto &eEndIt = gridView.template end<0>();
+    for (; eIt != eEndIt; ++eIt) {
+        fvElemGeom.update(gridView, *eIt);
+        for (int scvIdx = 0; scvIdx < fvElemGeom.numVertices; ++scvIdx) {
+            const auto &scvLocalGeom = *(fvElemGeom.subContVol[scvIdx].localGeometry);
+
+            for (int i = 0; i < scvLocalGeom.numCorners; ++ i) {
+                GlobalPosition pos(eIt->geometry().global(scvLocalGeom.corner(i)));
+                gf2.insertVertex(pos);
+            }
+        }
+    }
+
+    int cornerOffset = 0;
+    eIt = gridView.template begin<0>();
+    for (; eIt != eEndIt; ++eIt) {
+        fvElemGeom.update(gridView, *eIt);
+        for (int scvIdx = 0; scvIdx < fvElemGeom.numVertices; ++scvIdx) {
+            const auto &scvLocalGeom = *fvElemGeom.subContVol[scvIdx].localGeometry;
+
+            std::vector<unsigned int> vertexIndices;
+            for (int i = 0; i < scvLocalGeom.numCorners; ++ i) {
+                vertexIndices.push_back(cornerOffset);
+                ++ cornerOffset;
+            }
+
+            gf2.insertElement(Dune::GeometryType(Dune::GeometryType::cube,dim),
+                              vertexIndices);
+        }
+    }
+
+    const auto &grid2 = *gf2.createGrid();
+    typedef Dune::VTKWriter<GridView2> VtkWriter;
+    VtkWriter writer(grid2.leafView(), Dune::VTK::conforming);
+    writer.write("cube-scvs", Dune::VTK::ascii);
+#endif // HAVE_ALUGRID
+}
+
+void testCube()
+{
+#if HAVE_ALUGRID
+    typedef Dune::ALUGrid<dim, dim, Dune::cube, Dune::nonconforming> Grid;
+    typedef Dune::GridFactory<Grid> GridFactory;
+    GridFactory gf;
+    Scalar corners[][3] = {
+        { 0, 0, 0 },
+        { 1, 0, 0 },
+        { 0, 2, 0 },
+        { 3, 3, 0 },
+        { 0, 0, 4 },
+        { 5, 0, 5 },
+        { 0, 6, 6 },
+        { 7, 7, 7 },
+    };
+
+    for (unsigned i = 0; i < sizeof(corners)/sizeof(corners[0]); ++i) {
+        GlobalPosition pos;
+        for (unsigned j = 0; j < dim; ++j)
+            pos[j] = corners[i][j];
+        gf.insertVertex(pos);
+    }
+    std::vector<unsigned int> v = { 0, 1, 2, 3, 4, 5, 6, 7 };
+    gf.insertElement(Dune::GeometryType(Dune::GeometryType::cube,dim),
+                     v);
+    auto *grid = gf.createGrid();
+
+    // write the sub-control volumes to a VTK file.
+    writeCubeSubControlVolumes(*grid);
+
+    delete grid;
+#endif // HAVE_ALUGRID
+}
+
+void testQuadrature()
+{
+    std::cout << "testing SCV quadrature...\n";
+
+    GlobalPosition upperRight(1.0);
+    Dune::FieldVector<int, dim> cellRes(10);
+
+    typedef Dune::YaspGrid<dim> Grid;
+    typedef Grid::LeafGridView GridView;
+    Grid grid(
+#ifdef HAVE_MPI
+        Dune::MPIHelper::getCommunicator(),
+#endif
+        upperRight, // upper right
+        cellRes, // number of cells
+        Dune::FieldVector<bool, dim>(false), // periodic
+        0); // overlap
+
+    // compute approximate integral
+    auto gridView = grid.leafView();
+    auto eIt = gridView.begin<0>();
+    const auto eEndIt = gridView.end<0>();
+    Scalar result=0;
+    // instanciate a FvElementGeometry
+    typedef Ewoms::VcfvElementGeometry<Scalar, GridView> FvElementGeometry;
+    FvElementGeometry fvElemGeom;
+    for (; eIt != eEndIt; ++eIt) {
+        const auto &elemGeom = eIt->geometry();
+
+        fvElemGeom.update(gridView, *eIt);
+
+        // loop over all sub-control volumes
+        for (int scvIdx = 0; scvIdx < fvElemGeom.numVertices; ++scvIdx) {
+            const auto &scvLocalGeom = *fvElemGeom.subContVol[scvIdx].localGeometry;
+
+            Dune::GeometryType geomType = scvLocalGeom.type();
+            static const int quadratureOrder = 2;
+            const auto &rule = Dune::QuadratureRules<Scalar,dim>::rule(geomType, quadratureOrder);
+
+            // integrate f over the sub-control volume
+            for (auto it = rule.begin(); it != rule.end(); ++ it)
+            {
+                auto posScvLocal = it->position();
+                auto posElemLocal = scvLocalGeom.global(posScvLocal);
+                auto posGlobal = elemGeom.global(posScvLocal);
+
+                Scalar fval = f(posGlobal);
+                Scalar weight = it->weight();
+                Scalar detjac =
+                    scvLocalGeom.integrationElement(posScvLocal) *
+                    elemGeom.integrationElement(posElemLocal);
+
+                result += fval * weight * detjac;
+            }
+        }
+    }
+
+    std::cout << "result: " << result << " (expected value: " << 1.0/(1 << dim) << ")\n";
+}
+
+int main(int argc, char** argv)
+{
+    // initialize MPI, finalize is done automatically on exit
+    Dune::MPIHelper::instance(argc, argv);
+
+    testIdenityMapping();
+    // test the quadrature in a tetrahedron. since the CLang compiler
+    // prior to version 3.2 generates incorrect code here, we do not
+    // do it if the compiler is clang 3.1 or older.
+#if !__clang__ || __clang_major__ > 3 || (__clang_major__ == 3  && __clang_minor__ >= 3)
+    testTetrahedron();
+    testCube();
+#endif
+    testQuadrature();
+
+    return 0;
+}

tests/models/test_stokes.cc

@@ -0,0 +1,31 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the isothermal Stokes VCVF discretization.
+ */
+#include "config.h"
+#include <ewoms/common/start.hh>
+#include "problems/stokestestproblem.hh"
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(StokesTestProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/test_stokes2c.cc

@@ -0,0 +1,32 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the isothermal two-component Stokes VCVF discretization.
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include "problems/stokes2ctestproblem.hh"
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(Stokes2cTestProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/test_stokesni.cc

@@ -0,0 +1,32 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for the non-isothermal two-component Stokes VCVF discretization.
+ */
+#include "config.h"
+#include <ewoms/common/start.hh>
+#include "problems/stokesnitestproblem.hh"
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(StokesNITestProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/models/waterair_pvs_ni.cc

@@ -0,0 +1,41 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   Copyright (C) 2008-2012 by Andreas Lauser                               *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the 2p2cni VCVF discretization
+ */
+#include "config.h"
+
+#include <ewoms/common/start.hh>
+#include <ewoms/models/pvs/pvsmodel.hh>
+#include "problems/waterairproblem.hh"
+
+namespace Ewoms {
+namespace Properties {
+NEW_TYPE_TAG(WaterAirProblem, INHERITS_FROM(VcfvPvs, WaterAirBaseProblem));
+
+SET_BOOL_PROP(WaterAirProblem, EnableEnergy, true);
+} }
+
+int main(int argc, char** argv)
+{
+    typedef TTAG(WaterAirProblem) ProblemTypeTag;
+    return Ewoms::start<ProblemTypeTag>(argc, argv);
+}

tests/referencesolutions/co2injection_flash-heuristix.vtu

@@ -0,0 +1,852 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+  <UnstructuredGrid>
+    <Piece NumberOfCells="384" NumberOfPoints="425">
+      <PointData Scalars="pressure_l">
+        <DataArray type="Float32" Name="pressure_l" NumberOfComponents="1" format="ascii">
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+          2.63273e+07 2.63008e+07 2.6328e+07 2.63015e+07 2.63285e+07 2.6302e+07 2.63291e+07 2.63025e+07 2.63298e+07 2.63031e+07 2.63307e+07 2.6304e+07
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+          2.5915e+07 2.59153e+07 2.59154e+07 2.59155e+07 2.59156e+07
+        </DataArray>
+        <DataArray type="Float32" Name="pressure_g" NumberOfComponents="1" format="ascii">
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+        </DataArray>
+        <DataArray type="Float32" Name="density_l" NumberOfComponents="1" format="ascii">
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tests/referencesolutions/co2injection_flash_ni-heuristix.vtu

@@ -0,0 +1,852 @@
+<?xml version="1.0"?>
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+</VTKFile>

tests/referencesolutions/co2injection_immiscible-heuristix.vtu

@@ -0,0 +1,700 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
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tests/referencesolutions/co2injection_immiscible_ni-heuristix.vtu

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tests/referencesolutions/co2injection_ncp-heuristix.vtu

@@ -0,0 +1,852 @@
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tests/referencesolutions/co2injection_ncp_ni-heuristix.vtu

@@ -0,0 +1,852 @@
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tests/referencesolutions/co2injection_pvs-heuristix.vtu

@@ -0,0 +1,852 @@
+<?xml version="1.0"?>
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tests/referencesolutions/co2injection_pvs_ni-heuristix.vtu

@@ -0,0 +1,852 @@
+<?xml version="1.0"?>
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tests/referencesolutions/cuvette_pvs-heuristix.vtu

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tests/referencesolutions/groundwater_immiscible-heuristix.vtu

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tests/referencesolutions/infiltration_pvs-heuristix.vtu

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tests/referencesolutions/mimeticdiffusion-heuristix.vtu

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tests/referencesolutions/obstacle_immiscible-heuristix.vtu

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tests/referencesolutions/obstacle_ncp-heuristix.vtu

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tests/referencesolutions/obstacle_pvs-heuristix.vtu

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tests/referencesolutions/outflow-heuristix.vtu

@@ -0,0 +1,724 @@
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tests/referencesolutions/powerinjection_darcy-heuristix.vtp

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