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506 lines
17 KiB
C++
506 lines
17 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::RichardsLensProblem
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*/
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#ifndef EWOMS_RICHARDS_LENS_PROBLEM_HH
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#define EWOMS_RICHARDS_LENS_PROBLEM_HH
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#include <opm/models/richards/richardsmodel.hh>
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#include <opm/material/components/SimpleH2O.hpp>
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#include <opm/material/fluidsystems/LiquidPhase.hpp>
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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 <dune/grid/yaspgrid.hh>
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#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
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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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namespace Opm {
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template <class TypeTag>
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class RichardsLensProblem;
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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 RichardsLensProblem { using InheritsFrom = std::tuple<Richards>; };
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} // end namespace TTag
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// Use 2d YaspGrid
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template<class TypeTag>
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struct Grid<TypeTag, TTag::RichardsLensProblem> { using type = Dune::YaspGrid<2>; };
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// Set the physical problem to be solved
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template<class TypeTag>
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struct Problem<TypeTag, TTag::RichardsLensProblem> { using type = Opm::RichardsLensProblem<TypeTag>; };
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// Set the wetting phase
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template<class TypeTag>
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struct WettingFluid<TypeTag, TTag::RichardsLensProblem>
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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 material Law
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template<class TypeTag>
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struct MaterialLaw<TypeTag, TTag::RichardsLensProblem>
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{
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private:
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using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
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enum { wettingPhaseIdx = FluidSystem::wettingPhaseIdx };
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enum { nonWettingPhaseIdx = FluidSystem::nonWettingPhaseIdx };
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using Scalar = GetPropType<TypeTag, Properties::Scalar>;
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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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// define the material law which is parameterized by effective
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// saturations
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using EffectiveLaw = Opm::RegularizedVanGenuchten<Traits>;
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public:
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// define the material law parameterized by absolute saturations
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using type = Opm::EffToAbsLaw<EffectiveLaw>;
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};
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// Enable gravitational acceleration
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template<class TypeTag>
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struct EnableGravity<TypeTag, TTag::RichardsLensProblem> { static constexpr bool value = true; };
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// Use central differences to approximate the Jacobian matrix
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template<class TypeTag>
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struct NumericDifferenceMethod<TypeTag, TTag::RichardsLensProblem> { static constexpr int value = 0; };
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// Set the maximum number of newton iterations of a time step
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template<class TypeTag>
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struct NewtonMaxIterations<TypeTag, TTag::RichardsLensProblem> { static constexpr int value = 28; };
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// Set the "desireable" number of newton iterations of a time step
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template<class TypeTag>
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struct NewtonTargetIterations<TypeTag, TTag::RichardsLensProblem> { static constexpr int value = 18; };
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// Do not write the intermediate results of the newton method
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template<class TypeTag>
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struct NewtonWriteConvergence<TypeTag, TTag::RichardsLensProblem> { static constexpr bool value = false; };
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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, TTag::RichardsLensProblem>
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{
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using type = GetPropType<TypeTag, Scalar>;
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static constexpr type value = 3000;
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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, TTag::RichardsLensProblem>
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{
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using type = GetPropType<TypeTag, Scalar>;
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static constexpr type value = 100;
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};
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// The default DGF file to load
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template<class TypeTag>
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struct GridFile<TypeTag, TTag::RichardsLensProblem> { static constexpr auto value = "./data/richardslens_24x16.dgf"; };
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} // namespace Opm::Properties
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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 A water infiltration problem with a low-permeability lens
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* embedded into a high-permeability domain.
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*
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* The domain is rectangular. The left and right boundaries are
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* free-flow boundaries with fixed water pressure which corresponds to
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* a fixed saturation of \f$S_w = 0\f$ in the Richards model, the
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* bottom boundary is closed. The top boundary is also closed except
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* for an infiltration section, where water is infiltrating into an
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* initially unsaturated porous medium. This problem is very similar
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* the \c LensProblem, with the main difference being that the domain
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* is initally fully saturated by gas instead of water and water
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* instead of a \c DNAPL infiltrates from the top.
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*/
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template <class TypeTag>
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class RichardsLensProblem : public GetPropType<TypeTag, Properties::BaseProblem>
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{
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using ParentType = GetPropType<TypeTag, Properties::BaseProblem>;
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using GridView = GetPropType<TypeTag, Properties::GridView>;
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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 PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
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using Stencil = GetPropType<TypeTag, Properties::Stencil>;
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using Simulator = GetPropType<TypeTag, Properties::Simulator>;
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using Model = GetPropType<TypeTag, Properties::Model>;
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using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
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using Scalar = GetPropType<TypeTag, Properties::Scalar>;
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using Indices = GetPropType<TypeTag, Properties::Indices>;
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enum {
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// copy some indices for convenience
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pressureWIdx = Indices::pressureWIdx,
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contiEqIdx = Indices::contiEqIdx,
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wettingPhaseIdx = FluidSystem::wettingPhaseIdx,
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nonWettingPhaseIdx = FluidSystem::nonWettingPhaseIdx,
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numPhases = FluidSystem::numPhases,
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// Grid and world dimension
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dimWorld = GridView::dimensionworld
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};
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// get the material law from the property system
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using MaterialLaw = GetPropType<TypeTag, Properties::MaterialLaw>;
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//! The parameters of the material law to be used
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using MaterialLawParams = typename MaterialLaw::Params;
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using CoordScalar = typename GridView::ctype;
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using GlobalPosition = Dune::FieldVector<CoordScalar, dimWorld>;
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using PhaseVector = Dune::FieldVector<Scalar, numPhases>;
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using DimMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>;
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public:
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/*!
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* \copydoc Doxygen::defaultProblemConstructor
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*/
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RichardsLensProblem(Simulator& simulator)
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: ParentType(simulator)
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, pnRef_(1e5)
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{
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dofIsInLens_.resize(simulator.model().numGridDof());
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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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pnRef_ = 1e5;
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lensLowerLeft_[0] = 1.0;
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lensLowerLeft_[1] = 2.0;
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lensUpperRight_[0] = 4.0;
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lensUpperRight_[1] = 3.0;
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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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lensMaterialParams_.finalize();
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outerMaterialParams_.setVgAlpha(0.0037);
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outerMaterialParams_.setVgN(4.7);
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outerMaterialParams_.finalize();
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// parameters for the linear law
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// minimum and maximum pressures
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// lensMaterialParams_.setEntryPC(0);
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// outerMaterialParams_.setEntryPC(0);
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// lensMaterialParams_.setMaxPC(0);
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// outerMaterialParams_.setMaxPC(0);
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lensK_ = this->toDimMatrix_(1e-12);
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outerK_ = this->toDimMatrix_(5e-12);
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// determine which degrees of freedom are in the lens
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Stencil stencil(this->gridView(), this->simulator().model().dofMapper() );
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for (const auto& elem : elements(this->gridView())) {
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stencil.update(elem);
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for (unsigned dofIdx = 0; dofIdx < stencil.numPrimaryDof(); ++ dofIdx) {
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unsigned globalDofIdx = stencil.globalSpaceIndex(dofIdx);
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const auto& dofPos = stencil.subControlVolume(dofIdx).center();
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dofIsInLens_[globalDofIdx] = isInLens_(dofPos);
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}
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}
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}
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/*!
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* \name Problem parameters
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*/
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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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{
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std::ostringstream oss;
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oss << "lens_richards_"
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<< Model::discretizationName();
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return oss.str();
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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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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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}
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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(context.globalSpaceIndex(spaceIdx, timeIdx), timeIdx); }
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Scalar temperature(unsigned /*globalSpaceIdx*/, unsigned /*timeIdx*/) const
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{ return 273.15 + 10; } // -> 10°C
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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,
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unsigned spaceIdx,
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unsigned timeIdx) const
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{
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const GlobalPosition& pos = context.pos(spaceIdx, timeIdx);
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if (isInLens_(pos))
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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*/,
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unsigned /*spaceIdx*/,
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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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const MaterialLawParams& materialLawParams(const Context& context,
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unsigned spaceIdx,
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unsigned timeIdx) const
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{
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unsigned globalSpaceIdx = context.globalSpaceIndex(spaceIdx, timeIdx);
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return materialLawParams(globalSpaceIdx, timeIdx);
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}
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const MaterialLawParams& materialLawParams(unsigned globalSpaceIdx,
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unsigned /*timeIdx*/) const
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{
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if (dofIsInLens_[globalSpaceIdx])
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return lensMaterialParams_;
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return outerMaterialParams_;
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}
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/*!
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* \brief Return the reference pressure [Pa] of the wetting phase.
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*
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* \copydetails Doxygen::contextParams
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*/
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template <class Context>
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Scalar referencePressure(const Context& context,
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unsigned spaceIdx,
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unsigned timeIdx) const
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{ return referencePressure(context.globalSpaceIndex(spaceIdx, timeIdx), timeIdx); }
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// the Richards model does not have an element context available at all places
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// where the reference pressure is required...
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Scalar referencePressure(unsigned /*globalSpaceIdx*/,
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unsigned /*timeIdx*/) const
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{ return pnRef_; }
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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,
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const Context& context,
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unsigned spaceIdx,
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unsigned timeIdx) const
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{
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const auto& pos = context.pos(spaceIdx, timeIdx);
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if (onLeftBoundary_(pos) || onRightBoundary_(pos)) {
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const auto& materialParams = this->materialLawParams(context, spaceIdx, timeIdx);
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Scalar Sw = 0.0;
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Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
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fs.setSaturation(wettingPhaseIdx, Sw);
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fs.setSaturation(nonWettingPhaseIdx, 1.0 - Sw);
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PhaseVector pC;
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MaterialLaw::capillaryPressures(pC, materialParams, fs);
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fs.setPressure(wettingPhaseIdx, pnRef_ + pC[wettingPhaseIdx] - pC[nonWettingPhaseIdx]);
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fs.setPressure(nonWettingPhaseIdx, pnRef_);
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typename FluidSystem::template ParameterCache<Scalar> paramCache;
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paramCache.updateAll(fs);
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fs.setDensity(wettingPhaseIdx, FluidSystem::density(fs, paramCache, wettingPhaseIdx));
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//fs.setDensity(nonWettingPhaseIdx, FluidSystem::density(fs, paramCache, nonWettingPhaseIdx));
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fs.setViscosity(wettingPhaseIdx, FluidSystem::viscosity(fs, paramCache, wettingPhaseIdx));
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//fs.setViscosity(nonWettingPhaseIdx, FluidSystem::viscosity(fs, paramCache, nonWettingPhaseIdx));
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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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// inflow of water
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massRate[contiEqIdx] = -0.04; // kg / (m * s)
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values.setMassRate(massRate);
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}
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else
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values.setNoFlow();
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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,
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const Context& context,
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unsigned spaceIdx,
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unsigned timeIdx) const
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{
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const auto& materialParams = this->materialLawParams(context, spaceIdx, timeIdx);
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Scalar Sw = 0.0;
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Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
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fs.setSaturation(wettingPhaseIdx, Sw);
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fs.setSaturation(nonWettingPhaseIdx, 1.0 - Sw);
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PhaseVector pC;
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MaterialLaw::capillaryPressures(pC, materialParams, fs);
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values[pressureWIdx] = pnRef_ + (pC[wettingPhaseIdx] - pC[nonWettingPhaseIdx]);
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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,
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const Context& /*context*/,
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unsigned /*spaceIdx*/,
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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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return onUpperBoundary_(pos) && 0.5 < lambda && lambda < 2.0 / 3.0;
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}
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bool isInLens_(const GlobalPosition& pos) const
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{
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for (unsigned i = 0; i < dimWorld; ++i) {
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if (pos[i] < lensLowerLeft_[i] || pos[i] > lensUpperRight_[i])
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return false;
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}
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return true;
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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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std::vector<bool> dofIsInLens_;
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Scalar eps_;
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Scalar pnRef_;
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};
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} // namespace Opm
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#endif
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