test/porousmediumflow/3p/implicit/convection/problem.hh

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#ifndef DUMUX_3PNI_CONVECTION_PROBLEM_HH
#define DUMUX_3PNI_CONVECTION_PROBLEM_HH
 
#include <cmath>
#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/problem.hh>
#include <dumux/porousmediumflow/3p/model.hh>
#include <dumux/material/fluidsystems/h2oairmesitylene.hh>
#include <dumux/material/components/h2o.hh>
#include <dumux/material/fluidmatrixinteractions/3p/thermalconductivitysomerton3p.hh>
 
#include "../conduction/spatialparams.hh"  
 
namespace Dumux {
template <class TypeTag>
class ThreePNIConvectionProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct ThreePNIConvection { using InheritsFrom = std::tuple<ThreePNI>; };
struct ThreePNIConvectionBox { using InheritsFrom = std::tuple<ThreePNIConvection, BoxModel>; };
struct ThreePNIConvectionCCTpfa { using InheritsFrom = std::tuple<ThreePNIConvection, CCTpfaModel>; };
struct ThreePNIConvectionCCMpfa { using InheritsFrom = std::tuple<ThreePNIConvection, CCMpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::ThreePNIConvection> { using type = Dune::YaspGrid<2>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::ThreePNIConvection> { using type = ThreePNIConvectionProblem<TypeTag>; };
 
 
// Set the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::ThreePNIConvection>
{ using type = FluidSystems::H2OAirMesitylene<GetPropType<TypeTag, Properties::Scalar>>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::ThreePNIConvection>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = ThreePNISpatialParams<GridGeometry, Scalar>;
};
} // end namespace Properties
 
template <class TypeTag>
class ThreePNIConvectionProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
 
    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 SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using IapwsH2O = Components::H2O<Scalar>;
 
    // copy some indices for convenience
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    enum {
        // index of the primary variables
        pressureIdx = Indices::pressureIdx,
        swIdx = Indices::swIdx,
        snIdx = Indices::snIdx,
        temperatureIdx = Indices::temperatureIdx,
        wPhaseIdx = FluidSystem::wPhaseIdx,
        conti0EqIdx = Indices::conti0EqIdx,
        energyEqIdx = Indices::energyEqIdx
    };
 
    enum { dimWorld = GridView::dimensionworld };
 
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename SubControlVolumeFace::GlobalPosition;
 
public:
    ThreePNIConvectionProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        //initialize fluid system
        FluidSystem::init();
 
        name_ = getParam<std::string>("Problem.Name");
        outputInterval_ = getParam<int>("Problem.OutputInterval");
        darcyVelocity_ = getParam<Scalar>("Problem.DarcyVelocity");
 
        temperatureHigh_ = 291.;
        temperatureLow_ = 290.;
        pressureHigh_ = 2e5;
        pressureLow_ = 1e5;
 
        temperatureExact_.resize(this->gridGeometry().numDofs());
    }
 
    const std::vector<Scalar>& getExactTemperature()
    {
        return temperatureExact_;
    }
 
    void updateExactTemperature(const SolutionVector& curSol, Scalar time)
    {
        const auto someElement = *(elements(this->gridGeometry().gridView()).begin());
 
        const 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(wPhaseIdx);
        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_;
            }
        }
    }
 
    // \{
 
    const std::string& name() const
    {
        return name_;
    }
 
    // \}
 
    // \{
 
    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
    {
        return initialAtPos(globalPos);
    }
 
    NumEqVector neumann(const Element &element,
                        const FVElementGeometry& fvGeometry,
                        const ElementVolumeVariables& elemVolVars,
                        const ElementFluxVariablesCache& elemFluxVarsCache,
                        const SubControlVolumeFace& scvf) const
    {
        NumEqVector values(0.0);
        const auto globalPos = scvf.ipGlobal();
        const auto& volVars = elemVolVars[scvf.insideScvIdx()];
 
        if(globalPos[0] < eps_)
        {
            values[conti0EqIdx] = -darcyVelocity_*volVars.density(wPhaseIdx);
            values[energyEqIdx] = -darcyVelocity_*volVars.density(wPhaseIdx)
                                     *IapwsH2O::liquidEnthalpy(temperatureHigh_, volVars.pressure(wPhaseIdx));
        }
        return values;
    }
 
    // \}
 
    // \{
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values;
        values[pressureIdx] = pressureLow_; // initial condition for the pressure
        values[swIdx] = 1.0;  // initial condition for the wetting phase saturation
        values[snIdx] = 1e-10;  // initial condition for the non-wetting phase saturation
        values[temperatureIdx] = temperatureLow_;
        return values;
    }
 
    // \}
 
private:
    Scalar temperatureHigh_;
    Scalar temperatureLow_;
    Scalar pressureHigh_;
    Scalar pressureLow_;
    Scalar darcyVelocity_;
    static constexpr Scalar eps_ = 1e-6;
    std::string name_;
    int outputInterval_;
    std::vector<Scalar> temperatureExact_;
};
 
} // end namespace Dumux
 
#endif