freeflow/navierstokes/staggered/problem.hh

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#ifndef DUMUX_NAVIERSTOKES_STAGGERED_PROBLEM_HH
#define DUMUX_NAVIERSTOKES_STAGGERED_PROBLEM_HH
 
#include <dune/common/exceptions.hh>
#include <dune/common/typetraits.hh>
#include <dumux/common/properties.hh>
#include <dumux/common/staggeredfvproblem.hh>
#include <dumux/discretization/method.hh>
#include <dumux/freeflow/navierstokes/momentum/boundarytypes.hh>
 
namespace Dumux {
 
template<class TypeTag>
class NavierStokesStaggeredProblem : public StaggeredFVProblem<TypeTag>
{
    using ParentType = StaggeredFVProblem<TypeTag>;
    using Implementation = GetPropType<TypeTag, Properties::Problem>;
 
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using GridView = typename GridGeometry::GridView;
    using Element = typename GridView::template Codim<0>::Entity;
 
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using GridFaceVariables = typename GridVariables::GridFaceVariables;
    using ElementFaceVariables = typename GridFaceVariables::LocalView;
    using FaceVariables = typename GridFaceVariables::FaceVariables;
    using GridVolumeVariables = typename GridVariables::GridVolumeVariables;
    using ElementVolumeVariables = typename GridVolumeVariables::LocalView;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
 
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    enum {
        dim = GridView::dimension,
        dimWorld = GridView::dimensionworld
      };
 
    using GlobalPosition = typename SubControlVolumeFace::GlobalPosition;
    using VelocityVector = Dune::FieldVector<Scalar, dimWorld>;
    using GravityVector = Dune::FieldVector<Scalar, dimWorld>;
 
public:
    NavierStokesStaggeredProblem(std::shared_ptr<const GridGeometry> gridGeometry, const std::string& paramGroup = "")
    : ParentType(gridGeometry, paramGroup)
    , gravity_(0.0)
    {
        if (getParamFromGroup<bool>(paramGroup, "Problem.EnableGravity"))
            gravity_[dim-1]  = -9.81;
 
        enableInertiaTerms_ = getParamFromGroup<bool>(paramGroup, "Problem.EnableInertiaTerms");
    }
 
 
    const GravityVector& gravity() const
    { return gravity_; }
 
    bool enableInertiaTerms() const
    { return enableInertiaTerms_; }
 
    template <class SolutionVector, class G = GridGeometry>
    typename std::enable_if<G::discMethod == DiscretizationMethods::staggered, void>::type
    applyInitialFaceSolution(SolutionVector& sol,
                             const SubControlVolumeFace& scvf,
                             const PrimaryVariables& initSol) const
    {
        sol[GridGeometry::faceIdx()][scvf.dofIndex()][0] = initSol[Indices::velocity(scvf.directionIndex())];
    }
 
    Scalar pseudo3DWallFriction(const Scalar velocity,
                                const Scalar viscosity,
                                const Scalar height,
                                const Scalar factor = 8.0) const
    {
        static_assert(dim == 2, "Pseudo 3D wall friction may only be used in 2D");
        return -factor * velocity * viscosity / (height*height);
    }
 
    template <class ElementVolumeVariables, class ElementFaceVariables, class G = GridGeometry>
    typename std::enable_if<G::discMethod == DiscretizationMethods::staggered, Scalar>::type
    pseudo3DWallFriction(const SubControlVolumeFace& scvf,
                         const ElementVolumeVariables& elemVolVars,
                         const ElementFaceVariables& elemFaceVars,
                         const Scalar height,
                         const Scalar factor = 8.0) const
    {
        const Scalar velocity = elemFaceVars[scvf].velocitySelf();
        const Scalar viscosity = elemVolVars[scvf.insideScvIdx()].effectiveViscosity();
        return pseudo3DWallFriction(velocity, viscosity, height, factor);
    }
 
    Scalar permeability(const Element& element, const SubControlVolumeFace& scvf) const
    {
        DUNE_THROW(Dune::NotImplemented,
            "When using the Beavers-Joseph-Saffman boundary condition, "
            "the permeability must be returned in the actual problem"
        );
    }
 
    Scalar alphaBJ(const SubControlVolumeFace& scvf) const
    {
        DUNE_THROW(Dune::NotImplemented,
            "When using the Beavers-Joseph-Saffman boundary condition, "
            "the alpha value must be returned in the actual problem"
        );
    }
 
    Scalar betaBJ(const Element& element, const SubControlVolumeFace& scvf, const GlobalPosition& tangentialVector) const
    {
        const Scalar interfacePermeability = interfacePermeability_(element, scvf, tangentialVector);
        using std::sqrt;
        return asImp_().alphaBJ(scvf) / sqrt(interfacePermeability);
    }
 
    VelocityVector porousMediumVelocity(const Element& element, const SubControlVolumeFace& scvf) const
    {
        return VelocityVector(0.0);
    }
 
    const Scalar beaversJosephVelocity(const Element& element,
                                       const SubControlVolume& scv,
                                       const SubControlVolumeFace& ownScvf,
                                       const SubControlVolumeFace& faceOnPorousBoundary,
                                       const Scalar velocitySelf,
                                       const Scalar tangentialVelocityGradient) const
    {
        // create a unit normal vector oriented in positive coordinate direction
        GlobalPosition orientation = ownScvf.unitOuterNormal();
        orientation[ownScvf.directionIndex()] = 1.0;
 
        // du/dy + dv/dx = alpha/sqrt(K) * (u_boundary-uPM)
        // beta = alpha/sqrt(K)
        const Scalar betaBJ = asImp_().betaBJ(element, faceOnPorousBoundary, orientation);
        const Scalar distanceNormalToBoundary = (faceOnPorousBoundary.center() - scv.center()).two_norm();
 
        return (tangentialVelocityGradient*distanceNormalToBoundary
              + asImp_().porousMediumVelocity(element, faceOnPorousBoundary) * orientation * betaBJ * distanceNormalToBoundary
              + velocitySelf) / (betaBJ*distanceNormalToBoundary + 1.0);
    }
 
private:
    Scalar interfacePermeability_(const Element& element, const SubControlVolumeFace& scvf, const GlobalPosition& tangentialVector) const
    {
        const auto& K = asImp_().permeability(element, scvf);
 
        // use t*K*t for permeability tensors
        if constexpr (Dune::IsNumber<std::decay_t<decltype(K)>>::value)
            return K;
        else
            return vtmv(tangentialVector, K, tangentialVector);
    }
 
    Implementation &asImp_()
    { return *static_cast<Implementation *>(this); }
 
    const Implementation &asImp_() const
    { return *static_cast<const Implementation *>(this); }
 
    GravityVector gravity_;
    bool enableInertiaTerms_;
};
 
} // end namespace Dumux
 
#endif