test/porousmediumflow/1pnc/implicit/1p2c/nonisothermal/convection/problem.hh

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#ifndef DUMUX_1P2CNI_CONVECTION_TEST_PROBLEM_HH
#define DUMUX_1P2CNI_CONVECTION_TEST_PROBLEM_HH
 
#if HAVE_UG
#include <dune/grid/uggrid.hh>
#endif
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/discretization/elementsolution.hh>
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/ccmpfa.hh>
#include <dumux/discretization/box.hh>
#include <dumux/porousmediumflow/1pnc/model.hh>
#include <dumux/porousmediumflow/problem.hh>
 
#include <dumux/material/fluidsystems/1padapter.hh>
#include <dumux/material/fluidsystems/h2on2.hh>
#include <dumux/material/components/h2o.hh>
#include "../../spatialparams.hh"
 
namespace Dumux {
 
template <class TypeTag>
class OnePTwoCNIConvectionProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct OnePTwoCNIConvection { using InheritsFrom = std::tuple<OnePNCNI>; };
struct OnePTwoCNIConvectionCCTpfa { using InheritsFrom = std::tuple<OnePTwoCNIConvection, CCTpfaModel>; };
struct OnePTwoCNIConvectionCCMpfa { using InheritsFrom = std::tuple<OnePTwoCNIConvection, CCMpfaModel>; };
struct OnePTwoCNIConvectionBox { using InheritsFrom = std::tuple<OnePTwoCNIConvection, BoxModel>; };
} // end namespace TTag
 
// Set the grid type
#if HAVE_UG
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePTwoCNIConvection> { using type = Dune::UGGrid<2>; };
#else
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePTwoCNIConvection> { using type = Dune::YaspGrid<2>; };
#endif
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::OnePTwoCNIConvection> { using type = OnePTwoCNIConvectionProblem<TypeTag>; };
 
// Set fluid configuration
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::OnePTwoCNIConvection>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using H2ON2 = FluidSystems::H2ON2<Scalar, FluidSystems::H2ON2DefaultPolicy</*simplified=*/true>>;
    using type = FluidSystems::OnePAdapter<H2ON2, H2ON2::liquidPhaseIdx>;
};
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::OnePTwoCNIConvection>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = OnePNCTestSpatialParams<GridGeometry, Scalar>;
};
 
// Define whether mole(true) or mass (false) fractions are used
template<class TypeTag>
struct UseMoles<TypeTag, TTag::OnePTwoCNIConvection> { static constexpr bool value = true; };
} // end namespace Properties
 
template <class TypeTag>
class OnePTwoCNIConvectionProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView;
    using ElementFluxVariablesCache = typename GridVariables::GridFluxVariablesCache::LocalView;
 
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using Element = typename GridView::template Codim<0>::Entity;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>;
    using IapwsH2O = Components::H2O<Scalar>;
 
    // copy some indices for convenience
    enum
    {
        // indices of the primary variables
        pressureIdx = Indices::pressureIdx,
        temperatureIdx = Indices::temperatureIdx,
 
        // component indices
        H2OIdx = FluidSystem::compIdx(FluidSystem::MultiPhaseFluidSystem::H2OIdx),
        N2Idx = FluidSystem::compIdx(FluidSystem::MultiPhaseFluidSystem::N2Idx),
 
        // indices of the equations
        contiH2OEqIdx = Indices::conti0EqIdx + H2OIdx,
        contiN2EqIdx = Indices::conti0EqIdx + N2Idx,
        energyEqIdx = Indices::energyEqIdx
    };
 
    static constexpr bool useMoles = getPropValue<TypeTag, Properties::UseMoles>();
    static const int dimWorld = GridView::dimensionworld;
    using GlobalPosition = typename SubControlVolumeFace::GlobalPosition;
 
public:
    OnePTwoCNIConvectionProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        //initialize fluid system
        FluidSystem::init();
 
        // 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;
 
        temperatureExact_.resize(gridGeometry->numDofs(), 290.0);
 
        darcyVelocity_ = getParam<Scalar>("Problem.DarcyVelocity");
 
        temperatureHigh_ = 291.;
        temperatureLow_ = 290.;
        pressureHigh_ = 2e5;
        pressureLow_ = 1e5;
    }
 
    const std::vector<Scalar>& getExactTemperature()
    {
        return temperatureExact_;
    }
 
    void updateExactTemperature(const SolutionVector& curSol, Scalar time)
    {
        const auto someElement = *(elements(this->gridGeometry().gridView()).begin());
 
        auto someElemSol = elementSolution(someElement, curSol, this->gridGeometry());
        const auto someInitSol = initialAtPos(someElement.geometry().center());
 
        auto someFvGeometry = localView(this->gridGeometry());
        someFvGeometry.bindElement(someElement);
        const auto someScv = *(scvs(someFvGeometry).begin());
 
        VolumeVariables volVars;
        volVars.update(someElemSol, *this, someElement, someScv);
 
        const auto porosity = this->spatialParams().porosity(someElement, someScv, someElemSol);
        const auto densityW = volVars.density();
        const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]);
        const auto storageW =  densityW*heatCapacityW*porosity;
        const auto densityS = volVars.solidDensity();
        const auto heatCapacityS = volVars.solidHeatCapacity();
        const auto storageTotal = storageW + densityS*heatCapacityS*(1 - porosity);
        std::cout << "storage: " << storageTotal << '\n';
 
        using std::max;
        time = max(time, 1e-10);
        const Scalar retardedFrontVelocity = darcyVelocity_*storageW/storageTotal/porosity;
        std::cout << "retarded velocity: " << retardedFrontVelocity << '\n';
 
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
            for (auto&& scv : scvs(fvGeometry))
            {
                auto dofIdxGlobal = scv.dofIndex();
                auto dofPosition = scv.dofPosition();
                temperatureExact_[dofIdxGlobal] = (dofPosition[0] < retardedFrontVelocity*time) ? temperatureHigh_ : temperatureLow_;
            }
        }
    }
 
    // \{
 
    Scalar temperature() const
    { return 273.15 + 20; } // in [K]
 
    // \}
 
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
 
        if(globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_)
        {
            values.setAllDirichlet();
        }
        else
        {
            values.setAllNeumann();
        }
 
        return values;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values = initial_(globalPos);
        return values;
    }
 
    NumEqVector neumann(const Element& element,
                        const FVElementGeometry& fvGeometry,
                        const ElementVolumeVariables& elemVolVars,
                        const ElementFluxVariablesCache& elemFluxVarsCache,
                        const SubControlVolumeFace& scvf) const
    {
        NumEqVector flux(0.0);
        const auto& globalPos = scvf.ipGlobal();
        const auto& scv = fvGeometry.scv(scvf.insideScvIdx());
 
        if(globalPos[0] < eps_)
        {
             flux[contiH2OEqIdx] = -darcyVelocity_*elemVolVars[scv].molarDensity();
             flux[contiN2EqIdx] = -darcyVelocity_*elemVolVars[scv].molarDensity()*elemVolVars[scv].moleFraction(0, N2Idx);
             flux[energyEqIdx] = -darcyVelocity_
                                 *elemVolVars[scv].density()
                                 *IapwsH2O::liquidEnthalpy(temperatureHigh_, elemVolVars[scv].pressure());
        }
 
        return flux;
    }
 
    // \}
 
    // \{
 
    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
    { return NumEqVector(0.0); }
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    { return initial_(globalPos); }
 
    // \}
private:
 
    // the internal method for the initial condition
    PrimaryVariables initial_(const GlobalPosition &globalPos) const
    {
        PrimaryVariables priVars;
        priVars[pressureIdx] = pressureLow_; // initial condition for the pressure
        priVars[N2Idx] = 1e-10;  // initial condition for the N2 molefraction
        priVars[temperatureIdx] = temperatureLow_;
        return priVars;
    }
        static constexpr Scalar eps_ = 1e-6;
        Scalar temperatureHigh_;
        Scalar temperatureLow_;
        Scalar pressureHigh_;
        Scalar pressureLow_;
        Scalar darcyVelocity_;
 
        std::vector<Scalar> temperatureExact_;
    };
 
} // end namespace Dumux
 
#endif