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

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#ifndef DUMUX_3PNI_CONDUCTION_PROBLEM_HH
#define DUMUX_3PNI_CONDUCTION_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 "spatialparams.hh"
 
namespace Dumux {
 
template <class TypeTag>
class ThreePNIConductionProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct ThreePNIConduction { using InheritsFrom = std::tuple<ThreePNI>; };
struct ThreePNIConductionBox { using InheritsFrom = std::tuple<ThreePNIConduction, BoxModel>; };
struct ThreePNIConductionCCTpfa { using InheritsFrom = std::tuple<ThreePNIConduction, CCTpfaModel>; };
struct ThreePNIConductionCCMpfa { using InheritsFrom = std::tuple<ThreePNIConduction, CCMpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::ThreePNIConduction> { using type = Dune::YaspGrid<2>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::ThreePNIConduction> { using type = ThreePNIConductionProblem<TypeTag>; };
 
 
// Set the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::ThreePNIConduction>
{ using type = FluidSystems::H2OAirMesitylene<GetPropType<TypeTag, Properties::Scalar>>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::ThreePNIConduction>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = ThreePNISpatialParams<GridGeometry, Scalar>;
};
}// end namespace Properties
 

template <class TypeTag>
class ThreePNIConductionProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>;
    using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using IapwsH2O = Components::H2O<Scalar>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
    // 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
    };
 
    enum { dimWorld = GridView::dimensionworld };
 
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
public:
    ThreePNIConductionProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        //initialize fluid system
        FluidSystem::init();
 
        name_ = getParam<std::string>("Problem.Name");
        temperatureHigh_ = 300.0;
        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(wPhaseIdx);
        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] < eps_ || globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_)
        {
            values.setAllDirichlet();
        }
        else
        {
            values.setAllNeumann();
        }
        return values;
    }

    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values = initialAtPos(globalPos);
 
        if (globalPos[0] < eps_)
            values[temperatureIdx] = temperatureHigh_;
        return values;
    }

    NumEqVector neumannAtPos(const GlobalPosition &globalPos) const
    {
        return NumEqVector(0.0);
    }
 
    // \}

    // \{

    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
    {
        return NumEqVector(0.0);
    }

    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values;
        values[pressureIdx] = 1e5; // initial condition for the pressure
        values[swIdx] = 1.0;  // initial condition for the wetting phase saturation
        values[snIdx] = 1e-5;  // initial condition for the non-wetting phase saturation
        values[temperatureIdx] = 290;
        return values;
    }
 
    // \}
 
private:
    Scalar temperatureHigh_;
    static constexpr Scalar eps_ = 1e-6;
    std::string name_;
    std::vector<Scalar> temperatureExact_;
};
 
} // end namespace Dumux
#endif