test/freeflow/shallowwater/dambreak/problem.hh

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#ifndef DUMUX_DAM_BREAK_TEST_PROBLEM_HH
#define DUMUX_DAM_BREAK_TEST_PROBLEM_HH
 
#include <dune/grid/yaspgrid.hh>
#include <dumux/discretization/cctpfa.hh>
#include "spatialparams.hh"
 
#include <dumux/freeflow/shallowwater/model.hh>
#include <dumux/freeflow/shallowwater/problem.hh>
#include <dumux/flux/shallowwater/riemannproblem.hh>
#include <dumux/flux/shallowwater/exactriemann.hh>
 
 
namespace Dumux {
 
template <class TypeTag>
class DamBreakProblem;
 
 
// Specify the properties for the problem
namespace Properties {
 
// Create new type tags
namespace TTag {
struct DamBreakWet { using InheritsFrom = std::tuple<ShallowWater, CCTpfaModel>; };
} // end namespace TTag
 
template<class TypeTag>
struct Grid<TypeTag, TTag::DamBreakWet>
{ using type = Dune::YaspGrid<2, Dune::TensorProductCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::DamBreakWet>
{ using type = Dumux::DamBreakProblem<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::DamBreakWet>
{
private:
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
public:
    using type = DamBreakSpatialParams<GridGeometry, Scalar>;
};
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::DamBreakWet>
{ static constexpr bool value = true; };
 
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::DamBreakWet>
{ static constexpr bool value = false; };
 
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::DamBreakWet>
{ static constexpr bool value = false; };
 
} // end namespace Properties
 
 
template <class TypeTag>
class DamBreakProblem : public ShallowWaterProblem<TypeTag>
{
    using ParentType = ShallowWaterProblem<TypeTag>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using NeumannFluxes = GetPropType<TypeTag, Properties::NumEqVector>;
 
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView;
    using ElementFluxVariablesCache = typename GridVariables::GridFluxVariablesCache::LocalView;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
public:
    DamBreakProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        name_ = getParam<std::string>("Problem.Name");
        exactWaterDepth_.resize(gridGeometry->numDofs(), 0.0);
        exactVelocityX_.resize(gridGeometry->numDofs(), 0.0);
    }
 
    const std::vector<Scalar>& getExactWaterDepth()
    {
        return exactWaterDepth_;
    }
 
    const std::vector<Scalar>& getExactVelocityX()
    {
        return exactVelocityX_;
    }
 
    template<class SolutionVector, class GridVariables>
    void updateAnalyticalSolution(const SolutionVector& curSol,
                                  const GridVariables& gridVariables,
                                  const Scalar time)
    {
        //compute solution for all elements
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            auto elemVolVars = localView(gridVariables.curGridVolVars());
            elemVolVars.bindElement(element, fvGeometry, curSol);
 
            const auto& globalPos = element.geometry().center();
 
            //compute the position s and the initial water depth at the gate, velocities are zero
            const Scalar s = (globalPos[0] - gatePosition_)/time;
            const Scalar waterDepthLeft =  initialWaterDepthLeft_;
            const Scalar waterDepthRight =  initialWaterDepthRight_;
            const auto gravity = this->spatialParams().gravity(globalPos);
 
            auto riemannResult = ShallowWater::exactRiemann(waterDepthLeft,
                                                            waterDepthRight,
                                                            0.0,
                                                            0.0,
                                                            0.0,
                                                            0.0,
                                                            gravity,
                                                            s);
 
            const auto eIdx = this->gridGeometry().elementMapper().index(element);
            exactWaterDepth_[eIdx] = riemannResult.waterDepth;
            exactVelocityX_[eIdx] = riemannResult.velocityX;
        }
    }
 
    // \{
 
    const std::string& name() const
    { return name_; }
 
 
    // \}
 
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes bcTypes;
        bcTypes.setAllNeumann();
        return bcTypes;
    }
 
    NeumannFluxes neumann(const Element& element,
                          const FVElementGeometry& fvGeometry,
                          const ElementVolumeVariables& elemVolVars,
                          const ElementFluxVariablesCache& elemFluxVarsCache,
                          const SubControlVolumeFace& scvf) const
    {
        NeumannFluxes values(0.0);
 
        // we need the Riemann invariants to compute the values depending of the boundary type
        // since we use a weak imposition we do not have a dirichlet value. We impose fluxes
        // based on q,h, etc. computed with the Riemann invariants
        const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
        const auto& insideVolVars = elemVolVars[insideScv];
        const auto& nxy = scvf.unitOuterNormal();
        const auto gravity = this->spatialParams().gravity(scvf.center());
 
        auto riemannFlux = ShallowWater::riemannProblem(insideVolVars.waterDepth(),
                                                        insideVolVars.waterDepth(),
                                                        insideVolVars.velocity(0),
                                                        -insideVolVars.velocity(0),
                                                        insideVolVars.velocity(1),
                                                        -insideVolVars.velocity(1),
                                                        insideVolVars.bedSurface(),
                                                        insideVolVars.bedSurface(),
                                                        gravity,
                                                        nxy);
 
        values[Indices::massBalanceIdx] = riemannFlux[0];
        values[Indices::velocityXIdx]   = riemannFlux[1];
        values[Indices::velocityYIdx]   = riemannFlux[2];
 
        return values;
    }
 
    // \}
 
    // \{
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
 
        PrimaryVariables values(0.0);
 
        values[0] = initialWaterDepthRight_;
        values[1] = 0.0;
        values[2] = 0.0;
 
        // water level on the left side of the gate
        if (globalPos[0] < 10.0 + eps_)
        {
            values[0] = initialWaterDepthLeft_;
        }
 
        //water level on the right side of the gate
        else
        {
            values[0] = initialWaterDepthRight_;
        }
 
        return values;
    };
 
    // \}
 
private:
 
    std::vector<Scalar> exactWaterDepth_;
    std::vector<Scalar> exactVelocityX_;
 
    static constexpr Scalar initialWaterDepthLeft_ = 4.0;
    static constexpr Scalar initialWaterDepthRight_ = 1.0;
    static constexpr Scalar channelLenght_ = 20.0;
    static constexpr Scalar gatePosition_ = 10.0;
 
    static constexpr Scalar eps_ = 1.0e-6;
    std::string name_;
};
 
} //end namespace Dumux
 
#endif