test/porousmediumflow/co2/implicit/problem.hh

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#ifndef DUMUX_HETEROGENEOUS_PROBLEM_HH
#define DUMUX_HETEROGENEOUS_PROBLEM_HH
 
#if HAVE_DUNE_ALUGRID
#include <dune/alugrid/grid.hh>
#endif
 
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/box.hh>
 
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/co2/model.hh>
 
#include <dumux/material/components/tabulatedcomponent.hh>
#include <dumux/material/components/h2o.hh>
#include <dumux/material/fluidsystems/brineco2.hh>
#include <dumux/discretization/box/scvftoscvboundarytypes.hh>
 
#include "spatialparams.hh"
#include "co2tables.hh"
 
// per default use isothermal model
#ifndef ISOTHERMAL
#define ISOTHERMAL 1
#endif
 
namespace Dumux {
 
template <class TypeTag>
class HeterogeneousProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct Heterogeneous { using InheritsFrom = std::tuple<TwoPTwoCCO2>; };
struct HeterogeneousBox { using InheritsFrom = std::tuple<Heterogeneous, BoxModel>; };
struct HeterogeneousCCTpfa { using InheritsFrom = std::tuple<Heterogeneous, CCTpfaModel>; };
} // end namespace TTag
 
//Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::Heterogeneous> { using type = Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::Heterogeneous> { using type = HeterogeneousProblem<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::Heterogeneous>
{
    using type = HeterogeneousSpatialParams<GetPropType<TypeTag, Properties::GridGeometry>,
                                            GetPropType<TypeTag, Properties::Scalar>>;
};
 
// Set fluid configuration
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::Heterogeneous>
{
    using type = FluidSystems::BrineCO2<GetPropType<TypeTag, Properties::Scalar>,
                                        HeterogeneousCO2Tables::CO2Tables,
                                        Components::TabulatedComponent<Components::H2O<GetPropType<TypeTag, Properties::Scalar>>>,
                                        FluidSystems::BrineCO2DefaultPolicy</*constantSalinity=*/true, /*simpleButFast=*/true>>;
};
 
// Use Moles
template<class TypeTag>
struct UseMoles<TypeTag, TTag::Heterogeneous> { static constexpr bool value = false; };
 
#if !ISOTHERMAL
// Create new type tags
namespace TTag {
struct HeterogeneousNI { using InheritsFrom = std::tuple<TwoPTwoCCO2NI>; };
struct HeterogeneousNIBox { using InheritsFrom = std::tuple<HeterogeneousNI, BoxModel>; };
struct HeterogeneousNICCTpfa { using InheritsFrom = std::tuple<HeterogeneousNI, CCTpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::HeterogeneousNI> { using type = Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::HeterogeneousNI> { using type = HeterogeneousProblem<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::HeterogeneousNI>
{
    using type = HeterogeneousSpatialParams<GetPropType<TypeTag, Properties::GridGeometry>,
                                            GetPropType<TypeTag, Properties::Scalar>>;
};
 
// Set fluid configuration
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::HeterogeneousNI>
{
    using type = FluidSystems::BrineCO2<GetPropType<TypeTag, Properties::Scalar>,
                                        HeterogeneousCO2Tables::CO2Tables,
                                        Components::TabulatedComponent<Components::H2O<GetPropType<TypeTag, Properties::Scalar>>>,
                                        FluidSystems::BrineCO2DefaultPolicy</*constantSalinity=*/true, /*simpleButFast=*/true>>;
};
 
// Use Moles
template<class TypeTag>
struct UseMoles<TypeTag, TTag::HeterogeneousNI> { static constexpr bool value = false; };
#endif
} // end namespace Properties
 
template <class TypeTag >
class HeterogeneousProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView;
    using ElementFluxVariablesCache = typename GridVariables::GridFluxVariablesCache::LocalView;
    using VolumeVariables = typename GridVariables::GridVolumeVariables::VolumeVariables;
 
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
    using Indices = typename ModelTraits::Indices;
 
    // copy some indices for convenience
    enum
    {
        // primary variable indices
        pressureIdx = Indices::pressureIdx,
        switchIdx = Indices::switchIdx,
 
        // phase presence index
        firstPhaseOnly = Indices::firstPhaseOnly,
 
        // component indices
        BrineIdx = FluidSystem::BrineIdx,
        CO2Idx = FluidSystem::CO2Idx,
 
        // equation indices
        conti0EqIdx = Indices::conti0EqIdx,
        contiCO2EqIdx = conti0EqIdx + CO2Idx
    };
 
#if !ISOTHERMAL
    enum {
        temperatureIdx = Indices::temperatureIdx,
        energyEqIdx = Indices::energyEqIdx,
    };
#endif
 
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
 
    using CO2 = Components::CO2<Scalar, HeterogeneousCO2Tables::CO2Tables>;
 
    static constexpr bool useMoles = ModelTraits::useMoles();
 
    // the discretization method we are using
    static constexpr auto discMethod = GetPropType<TypeTag, Properties::GridGeometry>::discMethod;
 
    // world dimension to access gravity vector
    static constexpr int dimWorld = GridView::dimensionworld;
 
public:
    template<class SpatialParams>
    HeterogeneousProblem(std::shared_ptr<const GridGeometry> gridGeometry, std::shared_ptr<SpatialParams> spatialParams)
    : ParentType(gridGeometry, spatialParams)
    , injectionTop_(1)
    , injectionBottom_(2)
    , dirichletBoundary_(3)
    , noFlowBoundary_(4)
    {
        nTemperature_       = getParam<int>("FluidSystem.NTemperature");
        nPressure_          = getParam<int>("FluidSystem.NPressure");
        pressureLow_        = getParam<Scalar>("FluidSystem.PressureLow");
        pressureHigh_       = getParam<Scalar>("FluidSystem.PressureHigh");
        temperatureLow_     = getParam<Scalar>("FluidSystem.TemperatureLow");
        temperatureHigh_    = getParam<Scalar>("FluidSystem.TemperatureHigh");
        depthBOR_           = getParam<Scalar>("Problem.DepthBOR");
        name_               = getParam<std::string>("Problem.Name");
        injectionRate_      = getParam<Scalar>("Problem.InjectionRate");
 
#if !ISOTHERMAL
        injectionPressure_ = getParam<Scalar>("Problem.InjectionPressure");
        injectionTemperature_ = getParam<Scalar>("Problem.InjectionTemperature");
#endif
 
        // set the spatial parameters by reading the DGF grid file
        this->spatialParams().getParamsFromGrid();
 
        // initialize the tables of the fluid system
        FluidSystem::init(/*Tmin=*/temperatureLow_,
                          /*Tmax=*/temperatureHigh_,
                          /*nT=*/nTemperature_,
                          /*pmin=*/pressureLow_,
                          /*pmax=*/pressureHigh_,
                          /*np=*/nPressure_);
 
        // stating in the console whether mole or mass fractions are used
        if(useMoles)
            std::cout<<"problem uses mole fractions"<<std::endl;
        else
            std::cout<<"problem uses mass fractions"<<std::endl;
 
        // precompute the boundary types for the box method from the cell-centered boundary types
        scvfToScvBoundaryTypes_.computeBoundaryTypes(*this);
    }
 
    template<class VTKWriter>
    void addFieldsToWriter(VTKWriter& vtk)
    {
        const auto numElements = this->gridGeometry().gridView().size(0);
        const auto numDofs = this->gridGeometry().numDofs();
 
        vtkKxx_.resize(numElements);
        vtkPorosity_.resize(numElements);
        vtkBoxVolume_.resize(numDofs, 0.0);
 
        vtk.addField(vtkKxx_, "Kxx");
        vtk.addField(vtkPorosity_, "cellwisePorosity");
        vtk.addField(vtkBoxVolume_, "boxVolume");
 
#if !ISOTHERMAL
        vtk.addVolumeVariable([](const VolumeVariables& v){ return v.enthalpy(BrineIdx); }, "enthalpyW");
        vtk.addVolumeVariable([](const VolumeVariables& v){ return v.enthalpy(CO2Idx); }, "enthalpyN");
#else
        vtkTemperature_.resize(numDofs, 0.0);
        vtk.addField(vtkTemperature_, "T");
#endif
 
        const auto& gridView = this->gridGeometry().gridView();
        for (const auto& element : elements(gridView))
        {
            const auto eIdx = this->gridGeometry().elementMapper().index(element);
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            for (const auto& scv : scvs(fvGeometry))
            {
                const auto dofIdxGlobal = scv.dofIndex();
                vtkBoxVolume_[dofIdxGlobal] += scv.volume();
#if ISOTHERMAL
                vtkTemperature_[dofIdxGlobal] = initialTemperatureField_(scv.dofPosition());
#endif
            }
 
            vtkKxx_[eIdx] = this->spatialParams().permeability(eIdx);
            vtkPorosity_[eIdx] = 1- this->spatialParams().inertVolumeFraction(eIdx);
        }
    }
 
    // \{
 
    const std::string& name() const
    { return name_; }
 
    Scalar temperatureAtPos(const GlobalPosition &globalPos) const
    { return initialTemperatureField_(globalPos); }
 
    // \}
 
    // \{
 
    BoundaryTypes boundaryTypes(const Element &element,
                                const SubControlVolume &scv) const
    { return scvfToScvBoundaryTypes_.boundaryTypes(scv); }
 
    BoundaryTypes boundaryTypes(const Element &element,
                                const SubControlVolumeFace &scvf) const
    {
        BoundaryTypes bcTypes;
        const auto boundaryId = scvf.boundaryFlag();
 
        if (boundaryId < 1 || boundaryId > 4)
            DUNE_THROW(Dune::InvalidStateException, "Invalid boundary ID: " << boundaryId);
 
        if (boundaryId == dirichletBoundary_)
            bcTypes.setAllDirichlet();
        else
            bcTypes.setAllNeumann();
 
        return bcTypes;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    { return initial_(globalPos); }
 
    NumEqVector neumann(const Element& element,
                        const FVElementGeometry& fvGeometry,
                        const ElementVolumeVariables& elemVolVars,
                        const ElementFluxVariablesCache& elemFluxVarsCache,
                        const SubControlVolumeFace& scvf) const
    {
        const auto boundaryId = scvf.boundaryFlag();
 
        NumEqVector fluxes(0.0);
         // kg/(m^2*s) or mole/(m^2*s) depending on useMoles
        if (boundaryId == injectionBottom_)
        {
            fluxes[contiCO2EqIdx] = useMoles ? -injectionRate_/FluidSystem::molarMass(CO2Idx) : -injectionRate_;
#if !ISOTHERMAL
            // energy fluxes are always mass specific
            fluxes[energyEqIdx] = -injectionRate_/*kg/(m^2 s)*/*CO2::gasEnthalpy(
                                    injectionTemperature_, injectionPressure_)/*J/kg*/; // W/(m^2)
#endif
        }
 
        return fluxes;
    }
 
    // \}
 
    // \{
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        return initial_(globalPos);
    }
 
    // \}
 
private:
    PrimaryVariables initial_(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values(0.0);
        values.setState(firstPhaseOnly);
 
        const Scalar temp = initialTemperatureField_(globalPos);
        const Scalar densityW = FluidSystem::Brine::liquidDensity(temp, 1e7);
 
        const Scalar moleFracLiquidCO2 = 0.00;
        const Scalar moleFracLiquidBrine = 1.0 - moleFracLiquidCO2;
 
        const Scalar meanM = FluidSystem::molarMass(BrineIdx)*moleFracLiquidBrine
                             + FluidSystem::molarMass(CO2Idx)*moleFracLiquidCO2;
 
        if(useMoles) // mole-fraction formulation
            values[switchIdx] = moleFracLiquidCO2;
        else // mass-fraction formulation
            values[switchIdx] = moleFracLiquidCO2*FluidSystem::molarMass(CO2Idx)/meanM;
 
        values[pressureIdx] = 1.0e5 - densityW*this->spatialParams().gravity(globalPos)[dimWorld-1]*(depthBOR_ - globalPos[dimWorld-1]);
 
#if !ISOTHERMAL
        values[temperatureIdx] = temp;
#endif
        return values;
    }
 
    Scalar initialTemperatureField_(const GlobalPosition globalPos) const
    {
        return 283.0 + (depthBOR_ - globalPos[dimWorld-1])*0.03;
    }
 
    Scalar depthBOR_;
    Scalar injectionRate_;
 
#if !ISOTHERMAL
    Scalar injectionPressure_, injectionTemperature_;
#endif
 
    int nTemperature_;
    int nPressure_;
 
    std::string name_ ;
 
    Scalar pressureLow_, pressureHigh_;
    Scalar temperatureLow_, temperatureHigh_;
 
    int injectionTop_;
    int injectionBottom_;
    int dirichletBoundary_;
    int noFlowBoundary_;
 
    // vtk output
    std::vector<Scalar> vtkKxx_, vtkPorosity_, vtkBoxVolume_, vtkTemperature_;
    ScvfToScvBoundaryTypes<BoundaryTypes, discMethod> scvfToScvBoundaryTypes_;
};
 
} // end namespace Dumux
 
#endif