1p_1p/problem_stokes.hh

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#ifndef DUMUX_STOKES_SUBPROBLEM_HH
#define DUMUX_STOKES_SUBPROBLEM_HH
 
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/material/fluidsystems/1pliquid.hh>
#include <dumux/material/components/simpleh2o.hh>
 
#include <dumux/freeflow/navierstokes/problem.hh>
#include <dumux/discretization/staggered/freeflow/properties.hh>
#include <dumux/freeflow/navierstokes/model.hh>
 
namespace Dumux {
template <class TypeTag>
class StokesSubProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct StokesOneP { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
} // end namespace TTag
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::StokesOneP>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = FluidSystems::OnePLiquid<Scalar, Dumux::Components::SimpleH2O<Scalar> > ;
};
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::StokesOneP> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::StokesOneP> { using type = Dumux::StokesSubProblem<TypeTag> ; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::StokesOneP> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::StokesOneP> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::StokesOneP> { static constexpr bool value = true; };
} // end namespace Properties

template <class TypeTag>
class StokesSubProblem : public NavierStokesProblem<TypeTag>
{
    using ParentType = NavierStokesProblem<TypeTag>;
 
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
 
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
 
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using Element = typename GridView::template Codim<0>::Entity;
 
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
 
public:
    StokesSubProblem(std::shared_ptr<const GridGeometry> gridGeometry, std::shared_ptr<CouplingManager> couplingManager)
    : ParentType(gridGeometry, "Stokes"), eps_(1e-6), couplingManager_(couplingManager)
    {
        problemName_  =  getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
 
        // determine whether to simulate a vertical or horizontal flow configuration
        verticalFlow_ = problemName_.find("vertical") != std::string::npos;
    }

    const std::string& name() const
    {
        return problemName_;
    }

    // \{

    Scalar temperature() const
    { return 273.15 + 10; } // 10°C

    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
    { return NumEqVector(0.0); }
    // \}

    // \{

    BoundaryTypes boundaryTypes(const Element& element,
                                const SubControlVolumeFace& scvf) const
    {
        BoundaryTypes values;
 
        const auto& globalPos = scvf.dofPosition();
 
        if (verticalFlow_)
        {
            // inflow
            if(onUpperBoundary_(globalPos))
            {
                values.setDirichlet(Indices::velocityXIdx);
                values.setDirichlet(Indices::velocityYIdx);
            }
 
            // left/right wall
            if (onRightBoundary_(globalPos) || (onLeftBoundary_(globalPos)))
            {
                values.setDirichlet(Indices::velocityXIdx);
                values.setDirichlet(Indices::velocityYIdx);
            }
        }
        else // horizontal flow
        {
            // inlet / outlet
            if(onLeftBoundary_(globalPos) || onRightBoundary_(globalPos))
                values.setDirichlet(Indices::pressureIdx);
            else // wall
            {
                values.setDirichlet(Indices::velocityXIdx);
                values.setDirichlet(Indices::velocityYIdx);
            }
 
        }
 
        if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf))
        {
            values.setCouplingNeumann(Indices::conti0EqIdx);
            values.setCouplingNeumann(Indices::momentumYBalanceIdx);
            values.setBJS(Indices::momentumXBalanceIdx);
        }
 
        return values;
    }

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

    template<class ElementVolumeVariables, class ElementFaceVariables>
    NumEqVector neumann(const Element& element,
                        const FVElementGeometry& fvGeometry,
                        const ElementVolumeVariables& elemVolVars,
                        const ElementFaceVariables& elemFaceVars,
                        const SubControlVolumeFace& scvf) const
    {
        NumEqVector values(0.0);
 
        if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf))
        {
            values[Indices::conti0EqIdx] = couplingManager().couplingData().massCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf);
            values[Indices::momentumYBalanceIdx] = couplingManager().couplingData().momentumCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf);
        }
        return values;
    }
 
    // \}

    const CouplingManager& couplingManager() const
    { return *couplingManager_; }

    // \{

    PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const
    {
        PrimaryVariables values(0.0);
 
        if (verticalFlow_)
        {
            static const Scalar inletVelocity = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Velocity");
            values[Indices::velocityYIdx] = inletVelocity * globalPos[0] * (this->gridGeometry().bBoxMax()[0] - globalPos[0]);
        }
        else // horizontal flow
        {
            static const Scalar deltaP = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.PressureDifference");
            if(onLeftBoundary_(globalPos))
                values[Indices::pressureIdx] = deltaP;
        }
 
        return values;
    }

    Scalar permeability(const Element& element, const SubControlVolumeFace& scvf) const
    {
        return couplingManager().couplingData().darcyPermeability(element, scvf);
    }

    Scalar alphaBJ(const SubControlVolumeFace& scvf) const
    {
        return couplingManager().problem(CouplingManager::darcyIdx).spatialParams().beaversJosephCoeffAtPos(scvf.center());
    }
 
    // \}
 
private:
    bool onLeftBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; }
 
    bool onRightBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; }
 
    bool onLowerBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[1] < this->gridGeometry().bBoxMin()[1] + eps_; }
 
    bool onUpperBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; }
 
    Scalar eps_;
    std::string problemName_;
    bool verticalFlow_;
 
    std::shared_ptr<CouplingManager> couplingManager_;
};
} // end namespace Dumux
 
#endif // DUMUX_STOKES_SUBPROBLEM_HH