test/porousmediumflow/1p/implicit/convergence/problem.hh

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#ifndef DUMUX_INCOMPRESSIBLE_ONEP_CONVERGENCETEST_PROBLEM_HH
#define DUMUX_INCOMPRESSIBLE_ONEP_CONVERGENCETEST_PROBLEM_HH
 
#include <cmath>
#include <dune/grid/yaspgrid.hh>
#include <dune/geometry/quadraturerules.hh>
 
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/ccmpfa.hh>
#include <dumux/discretization/box.hh>
 
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/1p/model.hh>
#include <dumux/porousmediumflow/1p/incompressiblelocalresidual.hh>
 
#include <dumux/material/components/constant.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
 
#include "spatialparams.hh"
 
namespace Dumux {
// forward declarations
template<class TypeTag> class OnePTestProblem;
 
namespace Properties {
 
// create the type tag nodes
namespace TTag {
struct OnePIncompressible { using InheritsFrom = std::tuple<OneP>; };
struct OnePIncompressibleTpfa { using InheritsFrom = std::tuple<OnePIncompressible, CCTpfaModel>; };
struct OnePIncompressibleMpfa { using InheritsFrom = std::tuple<OnePIncompressible, CCMpfaModel>; };
struct OnePIncompressibleBox { using InheritsFrom = std::tuple<OnePIncompressible, BoxModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePIncompressible> { using type = Dune::YaspGrid<2>; };
 
// Set the problem type
template<class TypeTag>
struct Problem<TypeTag, TTag::OnePIncompressible> { using type = OnePTestProblem<TypeTag>; };
 
// set the spatial params
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::OnePIncompressible>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = OnePTestSpatialParams<GridGeometry, Scalar>;
};
 
// use the incompressible local residual (provides analytic jacobian)
template<class TypeTag>
struct LocalResidual<TypeTag, TTag::OnePIncompressible> { using type = OnePIncompressibleLocalResidual<TypeTag>; };
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::OnePIncompressible>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<0, Scalar> >;
};
 
} // end namespace Properties

template<class TypeTag>
class OnePTestProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
 
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolume = typename GridGeometry::SubControlVolume;
    using GridView = typename GridGeometry::GridView;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
public:
    OnePTestProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {}

    BoundaryTypes boundaryTypesAtPos(const GlobalPosition& globalPos) const
    {
        BoundaryTypes values;
        values.setAllDirichlet();
        return values;
    }

    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
    { return exact(globalPos); }

    template<class ElementVolumeVariables>
    NumEqVector source(const Element& element,
                       const FVElementGeometry& fvGeometry,
                       const ElementVolumeVariables& elemVolVars,
                       const SubControlVolume& scv) const
    {
        static const auto order = getParam<Scalar>("Problem.SourceIntegrationOrder");
        static const auto periodLength = getParam<Scalar>("Problem.ExactSolPeriodLength");
        const auto& k = this->spatialParams().permeabilityAtPos(scv.center());
 
        using std::sin;
        using std::cos;
 
        const auto eg = element.geometry();
        const auto rule = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(eg.type(), order);
 
        Scalar source = 0.0;
        for (auto qp : rule)
        {
            const auto p = eg.global(qp.position());
            const auto x = p[0];
            const auto y = p[1];
 
            const auto preFactor = -1.0*periodLength*periodLength*M_PI*M_PI;
            const auto preFactorArg = periodLength*M_PI;
            const auto sineTerm = sin(preFactorArg*x);
            const auto cosTerm = cos(preFactorArg*y);
            const auto secondDeriv = preFactor*sineTerm*cosTerm;
 
            // derivative in x and y are identical
            source -= 2.0*k*secondDeriv*qp.weight()*eg.integrationElement(qp.position());
        }
 
        source /= eg.volume();
        return NumEqVector(source);
    }

    Scalar temperature() const
    { return 283.15; }

    static PrimaryVariables exact(const GlobalPosition& globalPos)
    {
        const auto x = globalPos[0];
        const auto y = globalPos[1];
 
        using std::sin;
        using std::cos;
 
        static const auto periodLength = getParam<Scalar>("Problem.ExactSolPeriodLength");
        const auto preFactorArg = periodLength*M_PI;
        const auto u = sin(preFactorArg*x)*cos(preFactorArg*y);
 
        return PrimaryVariables(u);
    }
};
 
} // end namespace Dumux
 
#endif