problem_convection.hh

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#ifndef DUMUX_1PNI_CONVECTION_PROBLEM_HH
#define DUMUX_1PNI_CONVECTION_PROBLEM_HH
 
#include <cmath>
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/discretization/elementsolution.hh>
#include <dumux/discretization/box.hh>
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/ccmpfa.hh>
#include <dumux/porousmediumflow/1p/model.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/material/components/h2o.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
#include <dumux/material/fluidmatrixinteractions/1p/thermalconductivityaverage.hh>
#include "spatialparams.hh"
 
namespace Dumux {
 
template <class TypeTag>
class OnePNIConvectionProblem;
 
namespace Properties {
 
// Create new type tags
namespace TTag {
struct OnePNIConvection { using InheritsFrom = std::tuple<OnePNI>; };
struct OnePNIConvectionBox { using InheritsFrom = std::tuple<OnePNIConvection, BoxModel>; };
struct OnePNIConvectionCCTpfa { using InheritsFrom = std::tuple<OnePNIConvection, CCTpfaModel>; };
struct OnePNIConvectionCCMpfa { using InheritsFrom = std::tuple<OnePNIConvection, CCMpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePNIConvection> { using type = Dune::YaspGrid<1>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::OnePNIConvection> { using type = OnePNIConvectionProblem<TypeTag>; };
 
// Set the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::OnePNIConvection>
{
    using type = FluidSystems::OnePLiquid<GetPropType<TypeTag, Properties::Scalar>,
                                          Components::H2O<GetPropType<TypeTag, Properties::Scalar>> >;
};
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::OnePNIConvection>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = OnePNISpatialParams<GridGeometry, Scalar>;
};
} // end namespace Properties
 
template <class TypeTag>
class OnePNIConvectionProblem : 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 SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    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 IapwsH2O = Components::H2O<Scalar>;
 
    enum { dimWorld = GridView::dimensionworld };
 
    // copy some indices for convenience
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    enum {
        // indices of the primary variables
        pressureIdx = Indices::pressureIdx,
        temperatureIdx = Indices::temperatureIdx
    };
    enum {
        // index of the transport equation
        conti0EqIdx = Indices::conti0EqIdx,
        energyEqIdx = Indices::energyEqIdx
    };
 
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
 
public:
    OnePNIConvectionProblem(std::shared_ptr<const GridGeometry> gridGeometry, const std::string& paramGroup)
    : ParentType(gridGeometry, paramGroup)
    {
        //initialize fluid system
        FluidSystem::init();
 
        name_ = getParam<std::string>("Problem.Name");
        darcyVelocity_ = getParam<Scalar>("Problem.DarcyVelocity");
 
        temperatureHigh_ = 291.0;
        temperatureLow_ = 290.0;
        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());
 
        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_;
            }
        }
    }
 
    // \{
 
    const std::string& name() const
    {
        return name_;
    }
 
    // \}
 
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes bcTypes;
 
        if(globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_)
            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
    {
        NumEqVector values(0.0);
        const auto globalPos = scvf.ipGlobal();
        const auto& volVars = elemVolVars[scvf.insideScvIdx()];
 
        if(globalPos[0] < eps_)
        {
            values[conti0EqIdx] = -darcyVelocity_*volVars.density();
            values[energyEqIdx] = values[conti0EqIdx]*IapwsH2O::liquidEnthalpy(temperatureHigh_, volVars.pressure());
        }
        return values;
    }
 
    // \}
 
    // \{
 
    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(0.0);
        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 Dumux
 
#endif // DUMUX_1PNI_CONVECTION_PROBLEM_HH