tutorial1problem.hh

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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
/*
  This file is part of the Open Porous Media project (OPM).
 
  OPM is free software: you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation, either version 2 of the License, or
  (at your option) any later version.
 
  OPM is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.
 
  You should have received a copy of the GNU General Public License
  along with OPM.  If not, see <http://www.gnu.org/licenses/>.
 
  Consult the COPYING file in the top-level source directory of this
  module for the precise wording of the license and the list of
  copyright holders.
*/
#ifndef EWOMS_TUTORIAL1_PROBLEM_HH /*@\label{tutorial1:guardian1}@*/
#define EWOMS_TUTORIAL1_PROBLEM_HH /*@\label{tutorial1:guardian2}@*/
 
// The numerical model
#include <opm/models/common/darcyfluxmodule.hh>
#include <opm/models/immiscible/immisciblemodel.hh>
 
// The spatial discretization (VCFV == Vertex-Centered Finite Volumes)
#include <opm/models/discretization/vcfv/vcfvdiscretization.hh>  /*@\label{tutorial1:include-discretization}@*/
 
// The linearizer (Finite differences)
#include <opm/models/discretization/common/fvbasefdlocallinearizer.hh>
 
// The chemical species that are used
#include <opm/material/components/SimpleH2O.hpp>
#include <opm/material/components/Lnapl.hpp>
 
// Headers required for the capillary pressure law
#include <opm/material/fluidmatrixinteractions/RegularizedBrooksCorey.hpp> /*@\label{tutorial1:rawLawInclude}@*/
#include <opm/material/fluidmatrixinteractions/EffToAbsLaw.hpp>
#include <opm/material/fluidmatrixinteractions/MaterialTraits.hpp>
 
// For the DUNE grid
#include <dune/grid/yaspgrid.hh> /*@\label{tutorial1:include-grid-manager}@*/
#include <opm/models/io/cubegridvanguard.hh> /*@\label{tutorial1:include-grid-manager}@*/
 
// For Dune::FieldMatrix
#include <dune/common/fmatrix.hh>
#include <dune/common/version.hh>
 
namespace Opm {
// forward declaration of the problem class
template <class TypeTag>
class Tutorial1Problem;
}
 
namespace Opm::Properties {
 
// Create a new type tag for the problem
// Create new type tags
namespace TTag {
struct Tutorial1Problem { using InheritsFrom = std::tuple<ImmiscibleTwoPhaseModel>; };
} // end namespace TTag
 
// Select the vertex centered finite volume method as spatial discretization
template<class TypeTag>
struct SpatialDiscretizationSplice<TypeTag, TTag::Tutorial1Problem>
{ using type = TTag::VcfvDiscretization; }; /*@\label{tutorial1:set-spatial-discretization}@*/
 
// //! Use finite differences to linearize the system of PDEs
template<class TypeTag>
struct LocalLinearizerSplice<TypeTag, TTag::Tutorial1Problem>
{ using type = TTag::FiniteDifferenceLocalLinearizer; };
 
template<class TypeTag>
struct FluxModule<TypeTag, TTag::Tutorial1Problem>
{ using type = DarcyFluxModule<TypeTag>; };
 
// Set the "Problem" property
template<class TypeTag>
struct Problem<TypeTag, TTag::Tutorial1Problem>
{ using type = Opm::Tutorial1Problem<TypeTag>; }; /*@\label{tutorial1:set-problem}@*/
 
// Set grid and the grid manager to be used
template<class TypeTag>
struct Grid<TypeTag, TTag::Tutorial1Problem> { using type = Dune::YaspGrid</*dim=*/2>; }; /*@\label{tutorial1:set-grid}@*/
template<class TypeTag>
struct Vanguard<TypeTag, TTag::Tutorial1Problem> { using type = Opm::CubeGridVanguard<TypeTag>; }; /*@\label{tutorial1:set-grid-manager}@*/
 
// Set the wetting phase /*@\label{tutorial1:2p-system-start}@*/
template<class TypeTag>
struct WettingPhase<TypeTag, TTag::Tutorial1Problem> /*@\label{tutorial1:wettingPhase}@*/
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = Opm::LiquidPhase<Scalar, Opm::SimpleH2O<Scalar> >;
};
 
// Set the non-wetting phase
template<class TypeTag>
struct NonwettingPhase<TypeTag, TTag::Tutorial1Problem> /*@\label{tutorial1:nonwettingPhase}@*/
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = Opm::LiquidPhase<Scalar, Opm::LNAPL<Scalar> >;
}; /*@\label{tutorial1:2p-system-end}@*/
 
// Set the material law
template<class TypeTag>
struct MaterialLaw<TypeTag, TTag::Tutorial1Problem>
{
private:
    // create a class holding the necessary information for a
    // two-phase capillary pressure law
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    enum { wettingPhaseIdx = FluidSystem::wettingPhaseIdx };
    enum { nonWettingPhaseIdx = FluidSystem::nonWettingPhaseIdx };
    using Traits = Opm::TwoPhaseMaterialTraits<Scalar, wettingPhaseIdx, nonWettingPhaseIdx>;
 
    // define the material law which is parameterized by effective
    // saturations
    using RawMaterialLaw = Opm::RegularizedBrooksCorey<Traits>; /*@\label{tutorial1:rawlaw}@*/
 
public:
    // Convert absolute saturations into effective ones before passing
    // it to the base capillary pressure law
    using type = Opm::EffToAbsLaw<RawMaterialLaw>; /*@\label{tutorial1:eff2abs}@*/
};
 
} // namespace Opm::Properties
 
namespace Opm {
 
template <class TypeTag>
class Tutorial1Problem
    : public GetPropType<TypeTag, Properties::BaseProblem> /*@\label{tutorial1:def-problem}@*/
{
    using ParentType = GetPropType<TypeTag, Properties::BaseProblem>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
 
    // Grid dimension
    enum {
        dim = GridView::dimension,
        dimWorld = GridView::dimensionworld
    };
 
    // The type of the intrinsic permeability tensor
    using DimMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>;
 
    // eWoms specific types are specified via the property system
    using Simulator = GetPropType<TypeTag, Properties::Simulator>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using RateVector = GetPropType<TypeTag, Properties::RateVector>;
    using BoundaryRateVector = GetPropType<TypeTag, Properties::BoundaryRateVector>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using Indices = GetPropType<TypeTag, Properties::Indices>;
    using MaterialLaw = GetPropType<TypeTag, Properties::MaterialLaw>;
    using MaterialLawParams = GetPropType<TypeTag, Properties::MaterialLawParams>; /*@\label{tutorial1:matLawObjectType}@*/
 
    // phase indices
    enum { numPhases = FluidSystem::numPhases };
    enum { wettingPhaseIdx = FluidSystem::wettingPhaseIdx };
    enum { nonWettingPhaseIdx = FluidSystem::nonWettingPhaseIdx };
 
    // Indices of the conservation equations
    enum { contiWettingEqIdx = Indices::conti0EqIdx + wettingPhaseIdx };
    enum { contiNonWettingEqIdx = Indices::conti0EqIdx + nonWettingPhaseIdx };
 
public:
    explicit Tutorial1Problem(Simulator& simulator)
        : ParentType(simulator)
        , eps_(3e-6)
    { }
 
    void finishInit()
    {
        ParentType::finishInit();
 
        // Use an isotropic and homogeneous intrinsic permeability
        K_ = this->toDimMatrix_(1e-7);
 
        // Parameters of the Brooks-Corey law
        materialParams_.setEntryPressure(500.0 /*Pa*/); /*@\label{tutorial1:setLawParams}@*/
        materialParams_.setLambda(2); // shape parameter
 
        // Set the residual saturations
        materialParams_.setResidualSaturation(wettingPhaseIdx, 0.0);
        materialParams_.setResidualSaturation(nonWettingPhaseIdx, 0.0);
 
        // wrap up the initialization of the material law's parameters
        materialParams_.finalize();
    }
 
    static void registerParameters()
    {
        ParentType::registerParameters();
 
        Parameters::SetDefault<Parameters::CellsX>(100);
        Parameters::SetDefault<Parameters::CellsY>(1);
        Parameters::SetDefault<Parameters::DomainSizeX<Scalar>>(300.0);
        Parameters::SetDefault<Parameters::DomainSizeY<Scalar>>(60.0);
 
        if constexpr (dim == 3) {
            Parameters::SetDefault<Parameters::CellsZ>(1);
            Parameters::SetDefault<Parameters::DomainSizeZ<Scalar>>(0.0);
        }
 
        Parameters::SetDefault<Parameters::EndTime<Scalar>>(100e3);
        Parameters::SetDefault<Parameters::InitialTimeStepSize<Scalar>>(125.0);
    }
 
    std::string name() const
    { return "tutorial1"; }
 
    template <class Context>
    Scalar temperature(const Context& /*context*/,
                       unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
    { return 283.15; }
 
    template <class Context>
    const DimMatrix& intrinsicPermeability(const Context& /*context*/, /*@\label{tutorial1:permeability}@*/
                                           unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
    { return K_; }
 
    template <class Context>
    Scalar porosity(const Context& /*context*/,
                    unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const /*@\label{tutorial1:porosity}@*/
    { return 0.2; }
 
    template <class Context>
    const MaterialLawParams& materialLawParams(const Context& /*context*/, /*@\label{tutorial1:matLawParams}@*/
                                               unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
    { return materialParams_; }
 
    template <class Context>
    void boundary(BoundaryRateVector& values, const Context& context,
                  unsigned spaceIdx, unsigned timeIdx) const
    {
        const auto& pos = context.pos(spaceIdx, timeIdx);
        if (pos[0] < eps_) {
            // Free-flow conditions on left boundary
            const auto& materialParams = this->materialLawParams(context, spaceIdx, timeIdx);
 
            Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
            Scalar Sw = 1.0;
            fs.setSaturation(wettingPhaseIdx, Sw);
            fs.setSaturation(nonWettingPhaseIdx, 1.0 - Sw);
            fs.setTemperature(temperature(context, spaceIdx, timeIdx));
 
            Scalar pC[numPhases];
            MaterialLaw::capillaryPressures(pC, materialParams, fs);
            fs.setPressure(wettingPhaseIdx, 200e3);
            fs.setPressure(nonWettingPhaseIdx, 200e3 + pC[nonWettingPhaseIdx] - pC[nonWettingPhaseIdx]);
 
            typename FluidSystem::template ParameterCache<Scalar> paramCache;
            paramCache.updateAll(fs);
            for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx) {
                fs.setDensity(phaseIdx, FluidSystem::density(fs, paramCache, phaseIdx));
                fs.setViscosity(phaseIdx, FluidSystem::viscosity(fs, paramCache, phaseIdx));
            }
 
            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
        }
        else if (pos[0] > this->boundingBoxMax()[0] - eps_) {
            // forced outflow at the right boundary
            RateVector massRate(0.0);
 
            massRate[contiWettingEqIdx] = 0.0;  // [kg / (s m^2)]
            massRate[contiNonWettingEqIdx] = 3e-2; // [kg / (s m^2)]
 
            values.setMassRate(massRate);
        }
        else // no flow at the remaining boundaries
            values.setNoFlow();
    }
 
    template <class Context>
    void source(RateVector& sourceRate, const Context& /*context*/,
                unsigned /*spaceIdx*/, unsigned /*timeIdx*/) const
    {
        sourceRate[contiWettingEqIdx] = 0.0;
        sourceRate[contiNonWettingEqIdx] = 0.0;
    }
 
    template <class Context>
    void initial(PrimaryVariables& values, const Context& context,
                 unsigned spaceIdx, unsigned timeIdx) const
    {
        Opm::ImmiscibleFluidState<Scalar, FluidSystem> fs;
 
        // the domain is initially fully saturated by LNAPL
        Scalar Sw = 0.0;
        fs.setSaturation(wettingPhaseIdx, Sw);
        fs.setSaturation(nonWettingPhaseIdx, 1.0 - Sw);
 
        // the temperature is given by the temperature() method
        fs.setTemperature(temperature(context, spaceIdx, timeIdx));
 
        // set pressure of the wetting phase to 200 kPa = 2 bar
        Scalar pC[numPhases];
        MaterialLaw::capillaryPressures(pC, materialLawParams(context, spaceIdx, timeIdx),
                                        fs);
        fs.setPressure(wettingPhaseIdx, 200e3);
        fs.setPressure(nonWettingPhaseIdx, 200e3 + pC[nonWettingPhaseIdx] - pC[nonWettingPhaseIdx]);
 
        values.assignNaive(fs);
    }
 
private:
    DimMatrix K_;
    // Object that holds the parameters of required by the capillary pressure law.
    MaterialLawParams materialParams_; /*@\label{tutorial1:matParamsObject}@*/
 
    // small epsilon value
    Scalar eps_;
};
} // namespace Opm
 
#endif