analytical/problem_bulk.hh

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#ifndef DUMUX_TEST_TPFAFACETCOUPLING_ONEP_BULKPROBLEM_HH
#define DUMUX_TEST_TPFAFACETCOUPLING_ONEP_BULKPROBLEM_HH
 
#include <dune/alugrid/grid.hh>
 
#include <dumux/material/components/constant.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
 
#include <dumux/multidomain/facet/box/properties.hh>
#include <dumux/multidomain/facet/cellcentered/tpfa/properties.hh>
 
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/1p/model.hh>
 
#include "spatialparams.hh"
 
namespace Dumux {
// forward declarations
template<class TypeTag> class OnePBulkProblem;
 
namespace Properties {
// create the type tag nodes
// Create new type tags
namespace TTag {
struct OnePBulk { using InheritsFrom = std::tuple<OneP>; };
struct OnePBulkTpfa { using InheritsFrom = std::tuple<CCTpfaFacetCouplingModel, OnePBulk>; };
struct OnePBulkBox { using InheritsFrom = std::tuple<BoxFacetCouplingModel, OnePBulk>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePBulk> { using type = Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>; };
// Set the problem type
template<class TypeTag>
struct Problem<TypeTag, TTag::OnePBulk> { using type = OnePBulkProblem<TypeTag>; };
// set the spatial params
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::OnePBulk>
{
    using type = OnePSpatialParams< GetPropType<TypeTag, Properties::GridGeometry>,
                                    GetPropType<TypeTag, Properties::Scalar> >;
};
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::OnePBulk>
{
private:
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
public:
    using type = FluidSystems::OnePLiquid< Scalar, Components::Constant<1, Scalar> >;
};
 
} // end namespace Properties
 
template<class TypeTag>
class OnePBulkProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using PrimaryVariables = typename GridVariables::PrimaryVariables;
    using Scalar = typename GridVariables::Scalar;
 
    using GridGeometry = typename GridVariables::GridGeometry;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolume = typename GridGeometry::SubControlVolume;
    using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
    using GridView = typename GridGeometry::GridView;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
public:
    OnePBulkProblem(std::shared_ptr<const GridGeometry> gridGeometry,
                    std::shared_ptr<typename ParentType::SpatialParams> spatialParams,
                    std::shared_ptr<CouplingManager> couplingManagerPtr,
                    const std::string& paramGroup = "Bulk")
    : ParentType(gridGeometry, spatialParams, paramGroup)
    , couplingManagerPtr_(couplingManagerPtr)
    , lowDimPermeability_(getParam<Scalar>("LowDim.SpatialParams.Permeability"))
    , aperture_(getParam<Scalar>("Problem.FractureAperture"))
    {
        problemName_  =  getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
    }
 
    const std::string& name() const
    {
        return problemName_;
    }
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
        values.setAllDirichlet();
        return values;
    }
 
    BoundaryTypes interiorBoundaryTypes(const Element& element, const SubControlVolumeFace& scvf) const
    {
        BoundaryTypes values;
        values.setAllNeumann();
        return values;
    }
 
    NumEqVector sourceAtPos(const GlobalPosition& globalPos) const
    {
        using std::cos;
        using std::cosh;
        Scalar u = (1.0 - lowDimPermeability_)*cos(globalPos[0])*cosh(aperture_/2);
        return NumEqVector(u);
    }
 
    Scalar exact(const GlobalPosition& globalPos) const
    {
        using std::cos;
        using std::cosh;
        const auto x = globalPos[0];
        const auto y = globalPos[1];
        return lowDimPermeability_*cos(x)*cosh(y) + (1.0 - lowDimPermeability_)*cos(x)*cosh(aperture_/2);
    }
 
    GlobalPosition exactGradient(const GlobalPosition& globalPos) const
    {
        using std::cos;
        using std::sin;
        using std::cosh;
        using std::sinh;
 
        const auto x = globalPos[0];
        const auto y = globalPos[1];
 
        GlobalPosition gradU;
        gradU[0] = -lowDimPermeability_*sin(x)*cosh(y) + (lowDimPermeability_ - 1.0)*sin(x)*cosh(aperture_/2);
        gradU[1] = lowDimPermeability_*cos(x)*sinh(y);
 
        return gradU;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
    { return PrimaryVariables(exact(globalPos)); }
 
    template<class ElementVolumeVariables, class ElementFluxVarsCache>
    NumEqVector neumann(const Element& element,
                        const FVElementGeometry& fvGeometry,
                        const ElementVolumeVariables& elemVolVars,
                        const ElementFluxVarsCache& elemFluxVarsCache,
                        const SubControlVolumeFace& scvf) const
    {
        auto pos = scvf.ipGlobal();
        const Scalar k = this->spatialParams().permeabilityAtPos(pos);
        const auto gradU = exactGradient(pos);
        return NumEqVector( -1.0*k*(gradU*scvf.unitOuterNormal()) );
    }
 
    PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const
    { return PrimaryVariables(1.0); }
 
    Scalar temperature() const
    { return 283.15; /*10°*/ }
 
    const CouplingManager& couplingManager() const
    { return *couplingManagerPtr_; }
 
private:
    std::shared_ptr<CouplingManager> couplingManagerPtr_;
    Scalar lowDimPermeability_;
    Scalar aperture_;
    std::string problemName_;
};
 
} // end namespace Dumux
 
#endif