test/porousmediumflow/richards/implicit/nonisothermal/convection/problem.hh

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#ifndef DUMUX_RICHARDS_CONVECTION_PROBLEM_HH
#define DUMUX_RICHARDS_CONVECTION_PROBLEM_HH
 
#include <cmath>
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/discretization/elementsolution.hh>
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/box.hh>
 
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/richards/model.hh>
#include <dumux/material/fluidmatrixinteractions/2p/thermalconductivitysomerton.hh>
#include <dumux/material/fluidsystems/h2on2.hh>
#include "../spatialparams.hh"
 
namespace Dumux {
template <class TypeTag>
class RichardsNIConvectionProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct RichardsNIConvection { using InheritsFrom = std::tuple<RichardsNI>; };
struct RichardsNIConvectionBox { using InheritsFrom = std::tuple<RichardsNIConvection, BoxModel>; };
struct RichardsNIConvectionCC { using InheritsFrom = std::tuple<RichardsNIConvection, CCTpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::RichardsNIConvection> { using type = Dune::YaspGrid<2>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::RichardsNIConvection> { using type = RichardsNIConvectionProblem<TypeTag>; };
 
// Set the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::RichardsNIConvection> { using type = FluidSystems::H2ON2<GetPropType<TypeTag, Properties::Scalar>, FluidSystems::H2ON2DefaultPolicy</*fastButSimplifiedRelations=*/true>>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::RichardsNIConvection>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = RichardsNISpatialParams<GridGeometry, Scalar>;
};
} // end namespace Properties

template <class TypeTag>
class RichardsNIConvectionProblem : 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 ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>;
    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 { dimWorld = GridView::dimensionworld };
 
    enum {
        pressureIdx = Indices::pressureIdx,
        liquidPhaseOnly = Indices::liquidPhaseOnly,
        liquidPhaseIdx = FluidSystem::liquidPhaseIdx,
        temperatureIdx = Indices::temperatureIdx
    };
 
    using Element = typename GridView::template Codim<0>::Entity;
 
    using GlobalPosition = typename SubControlVolumeFace::GlobalPosition;
 
public:
    RichardsNIConvectionProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        // initialize fluid system
        FluidSystem::init();
 
        name_ =  getParam<std::string>("Problem.Name");
        darcyVelocity_ =  getParam<Scalar>("Problem.DarcyVelocity");
        temperatureHigh_ = 291.;
        temperatureLow_ = 290.;
        pressureHigh_ = 2e5;
        pressureLow_ = 1e5;
        temperatureExact_.resize(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(liquidPhaseIdx);
        const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]);
        const auto densityS = volVars.solidDensity();
        const auto heatCapacityS = volVars.solidHeatCapacity();
        const auto storage = densityW*heatCapacityW*porosity + densityS*heatCapacityS*(1 - porosity);
        const auto effectiveThermalConductivity = ThermalConductivityModel::effectiveThermalConductivity(volVars);
        using std::max;
        time = max(time, 1e-10);
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            for (auto&& scv : scvs(fvGeometry))
            {
               auto globalIdx = scv.dofIndex();
               const auto& globalPos = scv.dofPosition();
               using std::erf;
               using std::sqrt;
               temperatureExact_[globalIdx] = temperatureHigh_ + (someInitSol[temperatureIdx] - temperatureHigh_)
                                              *erf(0.5*sqrt(globalPos[0]*globalPos[0]*storage/time/effectiveThermalConductivity));
 
            }
        }
    }

    // \{

    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 initial_(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();
 
        if(globalPos[0] < eps_)
        {
            values[pressureIdx] = -darcyVelocity_*elemVolVars[scvf.insideScvIdx()].density(liquidPhaseIdx);
            values[temperatureIdx] = -darcyVelocity_*elemVolVars[scvf.insideScvIdx()].density(liquidPhaseIdx)
                                     *IapwsH2O::liquidEnthalpy(temperatureHigh_, elemVolVars[scvf.insideScvIdx()].pressure(liquidPhaseIdx));
        }
        return values;
    }
 
    // \}

    // \{
 

    Scalar nonWettingReferencePressure() const
    { return 1e5; };

   PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        return initial_(globalPos);
    }
 
    // \}
 
private:
    PrimaryVariables initial_(const GlobalPosition &globalPos) const
    {
        PrimaryVariables priVars(0.0);
        priVars.setState(liquidPhaseOnly);
        priVars[pressureIdx] = pressureLow_; // initial condition for the pressure
        priVars[temperatureIdx] = temperatureLow_;
        return priVars;
    }
 
    Scalar temperatureHigh_;
    Scalar temperatureLow_;
    Scalar pressureHigh_;
    Scalar pressureLow_;
    Scalar darcyVelocity_;
    static constexpr Scalar eps_ = 1e-6;
    std::string name_;
    std::vector<Scalar> temperatureExact_;
};
 
} // end namespace
#endif // DUMUX_RICHARDSNI_CONVECTION_PROBLEM_HH