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611 lines
19 KiB
C++
611 lines
19 KiB
C++
// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
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// vi: set et ts=4 sw=4 sts=4:
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/*
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 2 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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Consult the COPYING file in the top-level source directory of this
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module for the precise wording of the license and the list of
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copyright holders.
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*/
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/*!
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* \file
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*
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* \copydoc Opm::FingerProblem
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*/
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#ifndef EWOMS_FINGER_PROBLEM_HH
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#define EWOMS_FINGER_PROBLEM_HH
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#include <opm/models/io/structuredgridvanguard.hh>
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#include <opm/material/fluidmatrixinteractions/RegularizedVanGenuchten.hpp>
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#include <opm/material/fluidmatrixinteractions/LinearMaterial.hpp>
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#include <opm/material/fluidmatrixinteractions/EffToAbsLaw.hpp>
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#include <opm/material/fluidmatrixinteractions/ParkerLenhard.hpp>
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#include <opm/material/fluidmatrixinteractions/MaterialTraits.hpp>
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#include <opm/material/fluidsystems/TwoPhaseImmiscibleFluidSystem.hpp>
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#include <opm/material/fluidstates/ImmiscibleFluidState.hpp>
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#include <opm/material/components/SimpleH2O.hpp>
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#include <opm/material/components/Air.hpp>
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#include <opm/models/immiscible/immiscibleproperties.hh>
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#include <opm/models/discretization/common/restrictprolong.hh>
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#if HAVE_DUNE_ALUGRID
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#include <dune/alugrid/grid.hh>
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#endif
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#include <dune/common/version.hh>
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#include <dune/common/fvector.hh>
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#include <dune/common/fmatrix.hh>
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#include <dune/grid/utility/persistentcontainer.hh>
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#include <vector>
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#include <string>
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namespace Opm {
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template <class TypeTag>
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class FingerProblem;
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} // namespace Opm
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namespace Opm::Properties {
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// Create new type tags
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namespace TTag {
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struct FingerBaseProblem { using InheritsFrom = std::tuple<StructuredGridVanguard>; };
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} // end namespace TTag
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#if HAVE_DUNE_ALUGRID
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// use dune-alugrid if available
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template<class TypeTag>
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struct Grid<TypeTag, TTag::FingerBaseProblem>
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{ using type = Dune::ALUGrid</*dim=*/2,
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/*dimWorld=*/2,
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Dune::cube,
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Dune::nonconforming>; };
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#endif
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// declare the properties used by the finger problem
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template<class TypeTag, class MyTypeTag>
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struct InitialWaterSaturation { using type = UndefinedProperty; };
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// Set the problem property
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template<class TypeTag>
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struct Problem<TypeTag, TTag::FingerBaseProblem> { using type = Opm::FingerProblem<TypeTag>; };
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// Set the wetting phase
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template<class TypeTag>
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struct WettingPhase<TypeTag, TTag::FingerBaseProblem>
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{
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private:
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using Scalar = GetPropType<TypeTag, Properties::Scalar>;
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public:
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using type = Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> >;
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};
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// Set the non-wetting phase
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template<class TypeTag>
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struct NonwettingPhase<TypeTag, TTag::FingerBaseProblem>
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{
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private:
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using Scalar = GetPropType<TypeTag, Properties::Scalar>;
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public:
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using type = Opm::GasPhase<Scalar, Opm::Air<Scalar> >;
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};
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// Set the material Law
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template<class TypeTag>
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struct MaterialLaw<TypeTag, TTag::FingerBaseProblem>
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{
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using Scalar = GetPropType<TypeTag, Properties::Scalar>;
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using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
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using Traits = Opm::TwoPhaseMaterialTraits<Scalar,
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/*wettingPhaseIdx=*/FluidSystem::wettingPhaseIdx,
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/*nonWettingPhaseIdx=*/FluidSystem::nonWettingPhaseIdx>;
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// use the parker-lenhard hysteresis law
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using ParkerLenhard = Opm::ParkerLenhard<Traits>;
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using type = ParkerLenhard;
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};
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// Enable constraints
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template<class TypeTag>
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struct EnableConstraints<TypeTag, TTag::FingerBaseProblem> { static constexpr int value = true; };
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template<class TypeTag>
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struct InitialWaterSaturation<TypeTag, TTag::FingerBaseProblem>
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{
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using type = GetPropType<TypeTag, Scalar>;
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static constexpr type value = 0.01;
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};
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} // namespace Opm::Properties
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namespace Opm::Parameters {
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template<class TypeTag>
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struct CellsX<TypeTag, Properties::TTag::FingerBaseProblem>
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{ static constexpr unsigned value = 20; };
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template<class TypeTag>
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struct CellsY<TypeTag, Properties::TTag::FingerBaseProblem>
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{ static constexpr unsigned value = 70; };
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template<class TypeTag>
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struct CellsZ<TypeTag, Properties::TTag::FingerBaseProblem>
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{ static constexpr unsigned value = 1; };
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// define the properties specific for the finger problem
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template<class TypeTag>
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struct DomainSizeX<TypeTag, Properties::TTag::FingerBaseProblem>
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{
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using type = GetPropType<TypeTag, Properties::Scalar>;
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static constexpr type value = 0.1;
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};
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template<class TypeTag>
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struct DomainSizeY<TypeTag, Properties::TTag::FingerBaseProblem>
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{
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using type = GetPropType<TypeTag, Properties::Scalar>;
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static constexpr type value = 0.3;
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};
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template<class TypeTag>
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struct DomainSizeZ<TypeTag, Properties::TTag::FingerBaseProblem>
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{
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using type = GetPropType<TypeTag, Properties::Scalar>;
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static constexpr type value = 0.1;
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};
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// Enable gravity
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template<class TypeTag>
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struct EnableGravity<TypeTag, Properties::TTag::FingerBaseProblem>
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{ static constexpr bool value = true; };
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// The default for the end time of the simulation
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template<class TypeTag>
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struct EndTime<TypeTag, Properties::TTag::FingerBaseProblem>
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{
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using type = GetPropType<TypeTag, Properties::Scalar>;
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static constexpr type value = 215;
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};
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// The default for the initial time step size of the simulation
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template<class TypeTag>
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struct InitialTimeStepSize<TypeTag, Properties::TTag::FingerBaseProblem>
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{
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using type = GetPropType<TypeTag, Properties::Scalar>;
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static constexpr type value = 10;
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};
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// Write the solutions of individual newton iterations?
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template<class TypeTag>
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struct NewtonWriteConvergence<TypeTag, Properties::TTag::FingerBaseProblem>
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{ static constexpr bool value = false; };
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// Use forward differences instead of central differences
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template<class TypeTag>
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struct NumericDifferenceMethod<TypeTag, Properties::TTag::FingerBaseProblem>
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{ static constexpr int value = +1; };
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} // namespace Opm::Parameters
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namespace Opm {
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/*!
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* \ingroup TestProblems
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*
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* \brief Two-phase problem featuring some gravity-driven saturation
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* fingers.
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*
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* The domain of this problem is sized 10cm times 1m and is initially
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* dry. Water is then injected at three locations on the top of the
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* domain which leads to gravity fingering. The boundary conditions
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* used are no-flow for the left and right and top of the domain and
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* free-flow at the bottom. This problem uses the Parker-Lenhard
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* hystersis model which might lead to non-monotonic saturation in the
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* fingers if the right material parameters is chosen and the spatial
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* discretization is fine enough.
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*/
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template <class TypeTag>
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class FingerProblem : public GetPropType<TypeTag, Properties::BaseProblem>
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{
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//!\cond SKIP_THIS
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using ParentType = GetPropType<TypeTag, Properties::BaseProblem>;
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using Scalar = GetPropType<TypeTag, Properties::Scalar>;
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using GridView = GetPropType<TypeTag, Properties::GridView>;
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using Indices = GetPropType<TypeTag, Properties::Indices>;
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using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
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using WettingPhase = GetPropType<TypeTag, Properties::WettingPhase>;
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using NonwettingPhase = GetPropType<TypeTag, Properties::NonwettingPhase>;
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using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
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using Simulator = GetPropType<TypeTag, Properties::Simulator>;
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using Constraints = GetPropType<TypeTag, Properties::Constraints>;
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using Model = GetPropType<TypeTag, Properties::Model>;
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enum {
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// number of phases
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numPhases = FluidSystem::numPhases,
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// phase indices
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wettingPhaseIdx = FluidSystem::wettingPhaseIdx,
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nonWettingPhaseIdx = FluidSystem::nonWettingPhaseIdx,
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// equation indices
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contiWettingEqIdx = Indices::conti0EqIdx + wettingPhaseIdx,
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// Grid and world dimension
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dim = GridView::dimension,
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dimWorld = GridView::dimensionworld
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};
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using ElementContext = GetPropType<TypeTag, Properties::ElementContext>;
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using Stencil = GetPropType<TypeTag, Properties::Stencil> ;
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enum { codim = Stencil::Entity::codimension };
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using EqVector = GetPropType<TypeTag, Properties::EqVector>;
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using RateVector = GetPropType<TypeTag, Properties::RateVector>;
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using BoundaryRateVector = GetPropType<TypeTag, Properties::BoundaryRateVector>;
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using ParkerLenhard = typename GetProp<TypeTag, Properties::MaterialLaw>::ParkerLenhard;
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using MaterialLaw = GetPropType<TypeTag, Properties::MaterialLaw>;
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using MaterialLawParams = GetPropType<TypeTag, Properties::MaterialLawParams>;
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using CoordScalar = typename GridView::ctype;
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using GlobalPosition = Dune::FieldVector<CoordScalar, dimWorld>;
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using DimMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>;
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using Grid = typename GridView :: Grid;
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using MaterialLawParamsContainer = Dune::PersistentContainer< Grid, std::shared_ptr< MaterialLawParams > > ;
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//!\endcond
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public:
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using RestrictProlongOperator = CopyRestrictProlong< Grid, MaterialLawParamsContainer >;
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/*!
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* \copydoc Doxygen::defaultProblemConstructor
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*/
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FingerProblem(Simulator& simulator)
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: ParentType(simulator),
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materialParams_( simulator.vanguard().grid(), codim )
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{
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}
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/*!
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* \name Auxiliary methods
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*/
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//! \{
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/*!
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* \brief \copydoc FvBaseProblem::restrictProlongOperator
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*/
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RestrictProlongOperator restrictProlongOperator()
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{
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return RestrictProlongOperator( materialParams_ );
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}
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/*!
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* \copydoc FvBaseProblem::name
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*/
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std::string name() const
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{ return
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std::string("finger") +
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"_" + Model::name() +
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"_" + Model::discretizationName() +
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(this->model().enableGridAdaptation()?"_adaptive":"");
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}
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/*!
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* \copydoc FvBaseMultiPhaseProblem::registerParameters
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*/
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static void registerParameters()
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{
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ParentType::registerParameters();
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Parameters::registerParam<TypeTag, Properties::InitialWaterSaturation>
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("The initial saturation in the domain [] of the wetting phase");
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}
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/*!
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* \copydoc FvBaseProblem::finishInit()
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*/
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void finishInit()
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{
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ParentType::finishInit();
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eps_ = 3e-6;
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temperature_ = 273.15 + 20; // -> 20°C
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FluidSystem::init();
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// parameters for the Van Genuchten law of the main imbibition
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// and the main drainage curves.
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micParams_.setVgAlpha(0.0037);
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micParams_.setVgN(4.7);
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micParams_.finalize();
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mdcParams_.setVgAlpha(0.0037);
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mdcParams_.setVgN(4.7);
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mdcParams_.finalize();
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// initialize the material parameter objects of the individual
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// finite volumes, resize will resize the container to the number of elements
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materialParams_.resize();
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for (auto it = materialParams_.begin(),
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end = materialParams_.end(); it != end; ++it ) {
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std::shared_ptr< MaterialLawParams >& materialParams = *it ;
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if( ! materialParams )
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{
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materialParams.reset( new MaterialLawParams() );
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materialParams->setMicParams(&micParams_);
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materialParams->setMdcParams(&mdcParams_);
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materialParams->setSwr(0.0);
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materialParams->setSnr(0.1);
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materialParams->finalize();
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ParkerLenhard::reset(*materialParams);
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}
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}
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K_ = this->toDimMatrix_(4.6e-10);
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setupInitialFluidState_();
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}
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/*!
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* \copydoc FvBaseProblem::endTimeStep
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*/
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void endTimeStep()
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{
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#ifndef NDEBUG
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// checkConservativeness() does not include the effect of constraints, so we
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// disable it for this problem...
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//this->model().checkConservativeness();
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// Calculate storage terms
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EqVector storage;
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this->model().globalStorage(storage);
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// Write mass balance information for rank 0
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if (this->gridView().comm().rank() == 0) {
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std::cout << "Storage: " << storage << std::endl << std::flush;
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}
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#endif // NDEBUG
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// update the history of the hysteresis law
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ElementContext elemCtx(this->simulator());
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for (const auto& elem : elements(this->gridView())) {
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elemCtx.updateAll(elem);
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size_t numDofs = elemCtx.numDof(/*timeIdx=*/0);
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for (unsigned scvIdx = 0; scvIdx < numDofs; ++scvIdx)
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{
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MaterialLawParams& materialParam = materialLawParams( elemCtx, scvIdx, /*timeIdx=*/0 );
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const auto& fs = elemCtx.intensiveQuantities(scvIdx, /*timeIdx=*/0).fluidState();
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ParkerLenhard::update(materialParam, fs);
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}
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}
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}
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//! \}
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/*!
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* \name Soil parameters
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*/
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//! \{
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/*!
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* \copydoc FvBaseMultiPhaseProblem::temperature
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*/
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template <class Context>
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Scalar temperature(const Context& /*context*/, unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
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{ return temperature_; }
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/*!
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* \copydoc FvBaseMultiPhaseProblem::intrinsicPermeability
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*/
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template <class Context>
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const DimMatrix& intrinsicPermeability(const Context& /*context*/, unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
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{ return K_; }
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/*!
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* \copydoc FvBaseMultiPhaseProblem::porosity
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*/
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template <class Context>
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Scalar porosity(const Context& /*context*/, unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
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{ return 0.4; }
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/*!
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* \copydoc FvBaseMultiPhaseProblem::materialLawParams
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*/
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template <class Context>
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MaterialLawParams& materialLawParams(const Context& context,
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unsigned spaceIdx, unsigned timeIdx)
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{
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const auto& entity = context.stencil(timeIdx).entity(spaceIdx);
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assert(materialParams_[entity]);
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return *materialParams_[entity];
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}
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/*!
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* \copydoc FvBaseMultiPhaseProblem::materialLawParams
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*/
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template <class Context>
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const MaterialLawParams& materialLawParams(const Context& context,
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unsigned spaceIdx, unsigned timeIdx) const
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{
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const auto& entity = context.stencil(timeIdx).entity( spaceIdx );
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assert(materialParams_[entity]);
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return *materialParams_[entity];
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}
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//! \}
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/*!
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* \name Boundary conditions
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*/
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//! \{
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/*!
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* \copydoc FvBaseProblem::boundary
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*/
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template <class Context>
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void boundary(BoundaryRateVector& values, const Context& context,
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unsigned spaceIdx, unsigned timeIdx) const
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{
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const GlobalPosition& pos = context.pos(spaceIdx, timeIdx);
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if (onLeftBoundary_(pos) || onRightBoundary_(pos) || onLowerBoundary_(pos))
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values.setNoFlow();
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else {
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assert(onUpperBoundary_(pos));
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values.setFreeFlow(context, spaceIdx, timeIdx, initialFluidState_);
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}
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// override the value for the liquid phase by forced
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// imbibition of water on inlet boundary segments
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if (onInlet_(pos)) {
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values[contiWettingEqIdx] = -0.001; // [kg/(m^2 s)]
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}
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}
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//! \}
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/*!
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* \name Volumetric terms
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*/
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//! \{
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/*!
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* \copydoc FvBaseProblem::initial
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*/
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template <class Context>
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void initial(PrimaryVariables& values, const Context& /*context*/, unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
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{
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// assign the primary variables
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values.assignNaive(initialFluidState_);
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}
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/*!
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* \copydoc FvBaseProblem::constraints
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*/
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template <class Context>
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void constraints(Constraints& constraints, const Context& context,
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unsigned spaceIdx, unsigned timeIdx) const
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{
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const GlobalPosition& pos = context.pos(spaceIdx, timeIdx);
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if (onUpperBoundary_(pos) && !onInlet_(pos)) {
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constraints.setActive(true);
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constraints.assignNaive(initialFluidState_);
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}
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else if (onLowerBoundary_(pos)) {
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constraints.setActive(true);
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constraints.assignNaive(initialFluidState_);
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}
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}
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/*!
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* \copydoc FvBaseProblem::source
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*
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* For this problem, the source term of all components is 0
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* everywhere.
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*/
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template <class Context>
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void source(RateVector& rate, const Context& /*context*/,
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unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
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{ rate = Scalar(0.0); }
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//! \}
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private:
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bool onLeftBoundary_(const GlobalPosition& pos) const
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{ return pos[0] < this->boundingBoxMin()[0] + eps_; }
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bool onRightBoundary_(const GlobalPosition& pos) const
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{ return pos[0] > this->boundingBoxMax()[0] - eps_; }
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bool onLowerBoundary_(const GlobalPosition& pos) const
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{ return pos[1] < this->boundingBoxMin()[1] + eps_; }
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bool onUpperBoundary_(const GlobalPosition& pos) const
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{ return pos[1] > this->boundingBoxMax()[1] - eps_; }
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bool onInlet_(const GlobalPosition& pos) const
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{
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Scalar width = this->boundingBoxMax()[0] - this->boundingBoxMin()[0];
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Scalar lambda = (this->boundingBoxMax()[0] - pos[0]) / width;
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if (!onUpperBoundary_(pos))
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return false;
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Scalar xInject[] = { 0.25, 0.75 };
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Scalar injectLen[] = { 0.1, 0.1 };
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for (unsigned i = 0; i < sizeof(xInject) / sizeof(Scalar); ++i) {
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if (xInject[i] - injectLen[i] / 2 < lambda
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&& lambda < xInject[i] + injectLen[i] / 2)
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return true;
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}
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return false;
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}
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void setupInitialFluidState_()
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{
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auto& fs = initialFluidState_;
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fs.setPressure(wettingPhaseIdx, /*pressure=*/1e5);
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Scalar Sw = Parameters::get<TypeTag, Properties::InitialWaterSaturation>();
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fs.setSaturation(wettingPhaseIdx, Sw);
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fs.setSaturation(nonWettingPhaseIdx, 1 - Sw);
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fs.setTemperature(temperature_);
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// set the absolute pressures
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Scalar pn = 1e5;
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fs.setPressure(nonWettingPhaseIdx, pn);
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fs.setPressure(wettingPhaseIdx, pn);
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typename FluidSystem::template ParameterCache<Scalar> paramCache;
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paramCache.updateAll(fs);
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for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx) {
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fs.setDensity(phaseIdx, FluidSystem::density(fs, paramCache, phaseIdx));
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fs.setViscosity(phaseIdx, FluidSystem::viscosity(fs, paramCache, phaseIdx));
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}
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}
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DimMatrix K_;
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typename MaterialLawParams::VanGenuchtenParams micParams_;
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typename MaterialLawParams::VanGenuchtenParams mdcParams_;
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MaterialLawParamsContainer materialParams_;
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Opm::ImmiscibleFluidState<Scalar, FluidSystem> initialFluidState_;
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|
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Scalar temperature_;
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|
Scalar eps_;
|
|
};
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} // namespace Opm
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#endif
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