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"intensive" means that the value of these quantities at a given spatial location does not depend on any value of the neighboring intensive quantities. In contrast, "extensive" quantities depend in the intensive quantities of the environment of the spatial location. this change is necessary is because the previous nomenclature was very specific to finite volume discretizations, but the models themselves were already rather generic. (i.e., "volume variables" are the intensive quantities of finite volume methods and "flux variables" are the extensive ones.)
540 lines
18 KiB
C++
540 lines
18 KiB
C++
/*
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Copyright (C) 2008-2013 by Andreas Lauser
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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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*/
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/*!
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* \file
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*
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* \copydoc Ewoms::LensProblem
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*/
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#ifndef EWOMS_LENS_PROBLEM_HH
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#define EWOMS_LENS_PROBLEM_HH
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#include "lensgridmanager.hh"
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#include <ewoms/models/immiscible/immiscibleproperties.hh>
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#include <ewoms/linear/parallelamgbackend.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/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/Dnapl.hpp>
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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 <sstream>
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#include <string>
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#include <iostream>
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namespace Ewoms {
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template <class TypeTag>
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class LensProblem;
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}
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namespace Opm {
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namespace Properties {
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NEW_TYPE_TAG(LensBaseProblem, INHERITS_FROM(LensGridManager));
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// declare the properties specific for the lens problem
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NEW_PROP_TAG(LensLowerLeftX);
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NEW_PROP_TAG(LensLowerLeftY);
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NEW_PROP_TAG(LensLowerLeftZ);
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NEW_PROP_TAG(LensUpperRightX);
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NEW_PROP_TAG(LensUpperRightY);
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NEW_PROP_TAG(LensUpperRightZ);
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// Set the problem property
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SET_TYPE_PROP(LensBaseProblem, Problem, Ewoms::LensProblem<TypeTag>);
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// Set the wetting phase
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SET_PROP(LensBaseProblem, WettingPhase)
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{
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private:
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typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
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public:
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typedef Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> > type;
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};
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// Set the non-wetting phase
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SET_PROP(LensBaseProblem, NonwettingPhase)
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{
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private:
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typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
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public:
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typedef Opm::LiquidPhase<Scalar, Opm::DNAPL<Scalar> > type;
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};
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// Set the material Law
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SET_PROP(LensBaseProblem, MaterialLaw)
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{
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private:
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typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
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enum { wettingPhaseIdx = FluidSystem::wettingPhaseIdx };
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enum { nonWettingPhaseIdx = FluidSystem::nonWettingPhaseIdx };
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typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
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typedef Opm::TwoPhaseMaterialTraits<Scalar,
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/*wettingPhaseIdx=*/FluidSystem::wettingPhaseIdx,
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/*nonWettingPhaseIdx=*/FluidSystem::nonWettingPhaseIdx>
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Traits;
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// define the material law which is parameterized by effective
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// saturations
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typedef Opm::RegularizedVanGenuchten<Traits> EffectiveLaw;
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public:
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// define the material law parameterized by absolute saturations
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typedef Opm::EffToAbsLaw<EffectiveLaw> type;
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};
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// Use the algebraic multi-grid linear solver for this problem
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SET_TAG_PROP(LensBaseProblem, LinearSolverSplice, ParallelAmgBackend);
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// Write the solutions of individual newton iterations?
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SET_BOOL_PROP(LensBaseProblem, NewtonWriteConvergence, false);
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// Use forward differences instead of central differences
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SET_INT_PROP(LensBaseProblem, NumericDifferenceMethod, +1);
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// Enable gravity
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SET_BOOL_PROP(LensBaseProblem, EnableGravity, true);
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// define the properties specific for the lens problem
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SET_SCALAR_PROP(LensBaseProblem, LensLowerLeftX, 1.0);
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SET_SCALAR_PROP(LensBaseProblem, LensLowerLeftY, 2.0);
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SET_SCALAR_PROP(LensBaseProblem, LensLowerLeftZ, 0.0);
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SET_SCALAR_PROP(LensBaseProblem, LensUpperRightX, 4.0);
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SET_SCALAR_PROP(LensBaseProblem, LensUpperRightY, 3.0);
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SET_SCALAR_PROP(LensBaseProblem, LensUpperRightZ, 1.0);
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SET_SCALAR_PROP(LensBaseProblem, DomainSizeX, 6.0);
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SET_SCALAR_PROP(LensBaseProblem, DomainSizeY, 4.0);
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SET_SCALAR_PROP(LensBaseProblem, DomainSizeZ, 1.0);
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SET_INT_PROP(LensBaseProblem, CellsX, 48);
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SET_INT_PROP(LensBaseProblem, CellsY, 32);
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SET_INT_PROP(LensBaseProblem, CellsZ, 16);
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// The default for the end time of the simulation
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SET_SCALAR_PROP(LensBaseProblem, EndTime, 30e3);
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// The default for the initial time step size of the simulation
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SET_SCALAR_PROP(LensBaseProblem, InitialTimeStepSize, 250);
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//SET_BOOL_PROP(LensBaseProblem, EnableConstraints, true);
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}} // namespace Opm, Properties
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namespace Ewoms {
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/*!
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* \ingroup VcfvTestProblems
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*
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* \brief Soil contamination problem where DNAPL infiltrates a fully
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* water saturated medium.
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*
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* The domain is sized 6m times 4m and features a rectangular lens
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* with low permeablility which spans from (1 m , 2 m) to (4 m, 3 m)
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* and is surrounded by a medium with higher permability. Note that
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* this problem is discretized using only two dimensions, so from the
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* point of view of the model, the depth of the domain is implicitly
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* assumed to be 1 m everywhere.
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*
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* On the top and the bottom of the domain no-flow boundary conditions
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* are used, while free-flow conditions apply on the left and right
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* boundaries; DNAPL is injected at the top boundary from 3m to 4m at
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* a rate of 0.04 kg/(s m^2).
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*
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* At the boundary on the left, a free-flow condition using the
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* hydrostatic pressure scaled by a factor of 1.125 is imposed, while
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* on the right, it is just the hydrostatic pressure. The DNAPL
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* saturation on both sides is zero.
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*/
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template <class TypeTag>
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class LensProblem : public GET_PROP_TYPE(TypeTag, BaseProblem)
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{
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typedef typename GET_PROP_TYPE(TypeTag, BaseProblem) ParentType;
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typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
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typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
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typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices;
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typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
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typedef typename GET_PROP_TYPE(TypeTag, WettingPhase) WettingPhase;
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typedef typename GET_PROP_TYPE(TypeTag, NonwettingPhase) NonwettingPhase;
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typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
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typedef typename GET_PROP_TYPE(TypeTag, Simulator) Simulator;
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typedef typename GET_PROP_TYPE(TypeTag, Model) 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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contiNEqIdx = Indices::conti0EqIdx + nonWettingPhaseIdx,
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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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typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector;
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typedef typename GET_PROP_TYPE(TypeTag, BoundaryRateVector) BoundaryRateVector;
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typedef typename GET_PROP_TYPE(TypeTag, MaterialLaw) MaterialLaw;
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typedef typename GET_PROP_TYPE(TypeTag, MaterialLawParams) MaterialLawParams;
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typedef typename GridView::ctype CoordScalar;
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typedef Dune::FieldVector<CoordScalar, dimWorld> GlobalPosition;
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typedef Dune::FieldMatrix<Scalar, dimWorld, dimWorld> DimMatrix;
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public:
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/*!
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* \copydoc Doxygen::defaultProblemConstructor
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*/
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LensProblem(Simulator &simulator)
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: ParentType(simulator)
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{
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eps_ = 3e-6;
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FluidSystem::init();
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temperature_ = 273.15 + 20; // -> 20°C
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lensLowerLeft_[0] = EWOMS_GET_PARAM(TypeTag, Scalar, LensLowerLeftX);
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lensLowerLeft_[1] = EWOMS_GET_PARAM(TypeTag, Scalar, LensLowerLeftY);
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lensUpperRight_[0] = EWOMS_GET_PARAM(TypeTag, Scalar, LensUpperRightX);
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lensUpperRight_[1] = EWOMS_GET_PARAM(TypeTag, Scalar, LensUpperRightY);
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if (dimWorld == 3) {
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lensLowerLeft_[2] = EWOMS_GET_PARAM(TypeTag, Scalar, LensLowerLeftZ);
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lensUpperRight_[2] = EWOMS_GET_PARAM(TypeTag, Scalar, LensUpperRightZ);
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}
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// parameters for the Van Genuchten law
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// alpha and n
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lensMaterialParams_.setVgAlpha(0.00045);
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lensMaterialParams_.setVgN(7.3);
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outerMaterialParams_.setVgAlpha(0.0037);
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outerMaterialParams_.setVgN(4.7);
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lensMaterialParams_.finalize();
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outerMaterialParams_.finalize();
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lensK_ = this->toDimMatrix_(9.05e-12);
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outerK_ = this->toDimMatrix_(4.6e-10);
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if (dimWorld == 3) {
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this->gravity_ = 0;
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this->gravity_[1] = -9.81;
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}
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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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EWOMS_REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftX,
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"The x-coordinate of the lens' lower-left corner "
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"[m].");
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EWOMS_REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftY,
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"The y-coordinate of the lens' lower-left corner "
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"[m].");
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EWOMS_REGISTER_PARAM(TypeTag, Scalar, LensUpperRightX,
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"The x-coordinate of the lens' upper-right corner "
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"[m].");
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EWOMS_REGISTER_PARAM(TypeTag, Scalar, LensUpperRightY,
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"The y-coordinate of the lens' upper-right corner "
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"[m].");
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if (dimWorld == 3) {
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EWOMS_REGISTER_PARAM(TypeTag, Scalar, LensLowerLeftZ,
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"The z-coordinate of the lens' lower-left "
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"corner [m].");
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EWOMS_REGISTER_PARAM(TypeTag, Scalar, LensUpperRightZ,
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"The z-coordinate of the lens' upper-right "
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"corner [m].");
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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::intrinsicPermeability
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*/
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template <class Context>
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const DimMatrix &intrinsicPermeability(const Context &context, int spaceIdx,
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int timeIdx) const
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{
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const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
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if (isInLens_(globalPos))
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return lensK_;
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return outerK_;
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}
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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, int spaceIdx, int 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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const MaterialLawParams &materialLawParams(const Context &context,
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int spaceIdx, int timeIdx) const
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{
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const GlobalPosition &globalPos = context.pos(spaceIdx, timeIdx);
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if (isInLens_(globalPos))
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return lensMaterialParams_;
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return outerMaterialParams_;
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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, int spaceIdx, int timeIdx) const
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{ return temperature_; }
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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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* \copydoc VcfvProblem::name
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*/
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std::string name() const
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{
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std::ostringstream oss;
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oss << "lens_" << Model::name();
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return oss.str();
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}
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/*!
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* \copydoc VcfvProblem::postTimeStep
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*/
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void postTimeStep()
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{
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// Calculate storage terms
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PrimaryVariables 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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}
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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 VcfvProblem::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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int spaceIdx, int 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)) {
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// free flow boundary
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Scalar densityW = WettingPhase::density(temperature_, /*pressure=*/1e5);
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Scalar T = temperature(context, spaceIdx, timeIdx);
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Scalar pw, Sw;
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// set wetting phase pressure and saturation
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if (onLeftBoundary_(pos)) {
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Scalar height = this->boundingBoxMax()[1] - this->boundingBoxMin()[1];
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Scalar depth = this->boundingBoxMax()[1] - pos[1];
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Scalar alpha = (1 + 1.5 / height);
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// hydrostatic pressure scaled by alpha
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pw = 1e5 - alpha * densityW * this->gravity()[1] * depth;
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Sw = 1.0;
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}
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else {
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Scalar depth = this->boundingBoxMax()[1] - pos[1];
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// hydrostatic pressure
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pw = 1e5 - densityW * this->gravity()[1] * depth;
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Sw = 1.0;
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}
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// specify a full fluid state using pw and Sw
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const MaterialLawParams &matParams = this->materialLawParams(context, spaceIdx, timeIdx);
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Opm::ImmiscibleFluidState<Scalar, FluidSystem,
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/*storeEnthalpy=*/false> fs;
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fs.setSaturation(wettingPhaseIdx, Sw);
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fs.setSaturation(nonWettingPhaseIdx, 1 - Sw);
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fs.setTemperature(T);
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Scalar pC[numPhases];
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MaterialLaw::capillaryPressures(pC, matParams, fs);
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fs.setPressure(wettingPhaseIdx, pw);
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fs.setPressure(nonWettingPhaseIdx, pw + pC[nonWettingPhaseIdx] - pC[wettingPhaseIdx]);
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// impose an freeflow boundary condition
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values.setFreeFlow(context, spaceIdx, timeIdx, fs);
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}
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else if (onInlet_(pos)) {
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RateVector massRate(0.0);
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massRate = 0.0;
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massRate[contiNEqIdx] = -0.04; // kg / (m^2 * s)
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// impose a forced flow boundary
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values.setMassRate(massRate);
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}
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else {
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// no flow boundary
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values.setNoFlow();
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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 VcfvProblem::initial
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*/
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template <class Context>
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void initial(PrimaryVariables &values, const Context &context, int spaceIdx,
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int timeIdx) const
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{
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const GlobalPosition &pos = context.pos(spaceIdx, timeIdx);
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Scalar depth = this->boundingBoxMax()[1] - pos[1];
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Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
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fs.setPressure(wettingPhaseIdx, /*pressure=*/1e5);
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Scalar Sw = 1.0;
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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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typename FluidSystem::ParameterCache paramCache;
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paramCache.updatePhase(fs, wettingPhaseIdx);
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Scalar densityW = FluidSystem::density(fs, paramCache, wettingPhaseIdx);
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// hydrostatic pressure (assuming incompressibility)
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Scalar pw = 1e5 - densityW * this->gravity()[1] * depth;
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// calculate the capillary pressure
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const MaterialLawParams &matParams = this->materialLawParams(context, spaceIdx, timeIdx);
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Scalar pC[numPhases];
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MaterialLaw::capillaryPressures(pC, matParams, fs);
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// make a full fluid state
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fs.setPressure(wettingPhaseIdx, pw);
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fs.setPressure(nonWettingPhaseIdx, pw + (pC[wettingPhaseIdx] - pC[nonWettingPhaseIdx]));
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// assign the primary variables
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values.assignNaive(fs);
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}
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/*!
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* \copydoc VcfvProblem::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, int spaceIdx,
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int timeIdx) const
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{ rate = Scalar(0.0); }
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//! \}
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private:
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bool isInLens_(const GlobalPosition &pos) const
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{
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for (int i = 0; i < dim; ++i) {
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if (pos[i] < lensLowerLeft_[i] - eps_ || pos[i] > lensUpperRight_[i]
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+ eps_)
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return false;
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}
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return true;
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}
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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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return onUpperBoundary_(pos) && 0.5 < lambda && lambda < 2.0 / 3.0;
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}
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GlobalPosition lensLowerLeft_;
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GlobalPosition lensUpperRight_;
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DimMatrix lensK_;
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DimMatrix outerK_;
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MaterialLawParams lensMaterialParams_;
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MaterialLawParams outerMaterialParams_;
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Scalar temperature_;
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Scalar eps_;
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};
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} // namespace Ewoms
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#endif
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