test/freeflow/navierstokes/sincos/problem.hh

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#ifndef DUMUX_SINCOS_TEST_PROBLEM_HH
#define DUMUX_SINCOS_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 SincosTestProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct SincosTest { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
} // end namespace TTag
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::SincosTest>
{
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::SincosTest> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::SincosTest> { using type = Dumux::SincosTestProblem<TypeTag> ; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::SincosTest> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::SincosTest> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::SincosTest> { static constexpr bool value = true; };
} // end namespace Properties
 
template <class TypeTag>
class SincosTestProblem : public NavierStokesProblem<TypeTag>
{
    using ParentType = NavierStokesProblem<TypeTag>;
 
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    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>>;
    using SubControlVolume = typename GridGeometry::SubControlVolume;
    using FVElementGeometry = typename GridGeometry::LocalView;
 
    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 ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    SincosTestProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry), time_(0.0), timeStepSize_(0.0)
    {
        isStationary_ = getParam<bool>("Problem.IsStationary");
        enableInertiaTerms_ = getParam<bool>("Problem.EnableInertiaTerms");
        kinematicViscosity_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0);
    }
 
    Scalar temperature() const
    { return 298.0; }
 
    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
    {
        NumEqVector source(0.0);
        const Scalar x = globalPos[0];
        const Scalar y = globalPos[1];
        const Scalar t = time_ + timeStepSize_;
 
        using std::cos;
        using std::sin;
 
        if (isStationary_)
        {
            source[Indices::momentumXBalanceIdx] = -2.0 * kinematicViscosity_ * cos(x) * sin(y);
            source[Indices::momentumYBalanceIdx] =  2.0 * kinematicViscosity_ * cos(y) * sin(x);
 
            if (!enableInertiaTerms_)
            {
                source[Indices::momentumXBalanceIdx] += 0.5 * sin(2.0 * x);
                source[Indices::momentumYBalanceIdx] += 0.5 * sin(2.0 * y);
            }
        }
        else
        {
            source[Indices::momentumXBalanceIdx] = -2.0 * cos(x) * sin(y) * (cos(2.0 * t) + sin(2.0 * t) * kinematicViscosity_);
            source[Indices::momentumYBalanceIdx] =  2.0 * sin(x) * cos(y) * (cos(2.0 * t) + sin(2.0 * t) * kinematicViscosity_);
        }
 
        return source;
    }
 
    // \}
    // \{
 
    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 FVElementGeometry& fvGeometry,
                         const SubControlVolume& scv,
                         int pvIdx) const
    {
        // set fixed pressure in one cell
        return (scv.dofIndex() == 0) && pvIdx == Indices::pressureIdx;
    }
 
    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;
 
        using std::sin;
        using std::cos;
 
        values[Indices::pressureIdx] = -0.25 * (cos(2.0 * x) + cos(2.0 * y));
        values[Indices::velocityXIdx] = -1.0 * cos(x) * sin(y);
        values[Indices::velocityYIdx] = sin(x) * cos(y);
 
        if (!isStationary_)
        {
            values[Indices::pressureIdx] *= sin(2.0 * t) * sin(2.0 * t);
            values[Indices::velocityXIdx] *= sin(2.0 * t);
            values[Indices::velocityYIdx] *= sin(2.0 * t);
        }
 
        return values;
    }
 
    // \}
 
    // \{
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        if (isStationary_)
        {
            PrimaryVariables values;
            values[Indices::pressureIdx] = 0.0;
            values[Indices::velocityXIdx] = 0.0;
            values[Indices::velocityYIdx] = 0.0;
 
            return values;
        }
        else
        {
            return analyticalSolution(globalPos, 0.0);
        }
    }
 
    void updateTime(const Scalar time)
    {
        time_ = time;
    }
 
    void updateTimeStepSize(const Scalar timeStepSize)
    {
        timeStepSize_ = timeStepSize;
    }
 
private:
    static constexpr Scalar eps_ = 1e-6;
 
    Scalar kinematicViscosity_;
    bool enableInertiaTerms_;
    Scalar time_;
    Scalar timeStepSize_;
 
    bool isStationary_;
};
 
} // end namespace Dumux
 
#endif // DUMUX_SINCOS_TEST_PROBLEM_HH