test/freeflow/navierstokes/angeli/problem.hh

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#ifndef DUMUX_ANGELI_TEST_PROBLEM_HH
#define DUMUX_ANGELI_TEST_PROBLEM_HH
 
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/material/fluidsystems/1pliquid.hh>
#include <dumux/material/components/constant.hh>
 
#include <dumux/freeflow/navierstokes/problem.hh>
#include <dumux/discretization/staggered/freeflow/properties.hh>
#include <dumux/freeflow/navierstokes/model.hh>
#include "../l2error.hh"
 
namespace Dumux {
template <class TypeTag>
class AngeliTestProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct AngeliTest { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
} // end namespace TTag
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::AngeliTest>
{
private:
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
public:
    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
};
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::AngeliTest> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::AngeliTest> { using type = Dumux::AngeliTestProblem<TypeTag> ; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::AngeliTest> { static constexpr bool value = true; };
 
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::AngeliTest> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::AngeliTest> { static constexpr bool value = true; };
} // end namespace Properties
 
template <class TypeTag>
class AngeliTestProblem : public NavierStokesProblem<TypeTag>
{
    using ParentType = NavierStokesProblem<TypeTag>;
 
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using TimeLoopPtr = std::shared_ptr<TimeLoop<Scalar>>;
 
    static constexpr auto dimWorld = GetPropType<TypeTag, Properties::GridView>::dimensionworld;
    using Element = typename GridGeometry::GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
    using VelocityVector = Dune::FieldVector<Scalar, dimWorld>;
 
public:
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    AngeliTestProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        kinematicViscosity_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0);
    }
 
    Scalar temperature() const
    { return 298.0; }
 
    // \}
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
 
        // set Dirichlet values for the velocity everywhere
        values.setDirichlet(Indices::velocityXIdx);
        values.setDirichlet(Indices::velocityYIdx);
 
        return values;
    }
 
    bool isDirichletCell(const Element& element,
                         const typename GridGeometry::LocalView& fvGeometry,
                         const typename GridGeometry::SubControlVolume& scv,
                         int pvIdx) const
    {
        // set a fixed pressure in all cells at the boundary
        for (const auto& scvf : scvfs(fvGeometry))
            if (scvf.boundary())
                return true;
 
        return false;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition & globalPos) const
    {
        // use the values of the analytical solution
        return analyticalSolution(globalPos, time_+timeStepSize_);
    }
 
    PrimaryVariables analyticalSolution(const GlobalPosition& globalPos, const Scalar time) const
    {
        const Scalar x = globalPos[0];
        const Scalar y = globalPos[1];
 
        const Scalar t = time;
 
        PrimaryVariables values;
 
        values[Indices::pressureIdx] = - 0.25 * std::exp(-10.0 * kinematicViscosity_ * M_PI * M_PI * t) * M_PI * M_PI * (4.0 * std::cos(2.0 * M_PI * x) + std::cos(4.0 * M_PI * y));
        values[Indices::velocityXIdx] = - 2.0 * M_PI * std::exp(- 5.0 * kinematicViscosity_ * M_PI * M_PI * t) * std::cos(M_PI * x) * std::sin(2.0 * M_PI * y);
        values[Indices::velocityYIdx] = M_PI * std::exp(- 5.0 * kinematicViscosity_ * M_PI * M_PI * t) * std::sin(M_PI * x) * std::cos(2.0 * M_PI * y);
 
        return values;
    }
 
    // \}
 
    // \{
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        return analyticalSolution(globalPos, 0);
    }
 
    void updateTime(const Scalar time)
    {
        time_ = time;
    }
 
    void updateTimeStepSize(const Scalar timeStepSize)
    {
        timeStepSize_ = timeStepSize;
    }
 
private:
    static constexpr Scalar eps_ = 1e-6;
 
    Scalar kinematicViscosity_;
    Scalar time_ = 0;
    Scalar timeStepSize_ = 0;
};
} // end namespace Dumux
 
#endif