freeflow/rans/oneeq/staggered/fluxvariables.hh

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#ifndef DUMUX_ONEEQ_STAGGERED_FLUXVARIABLES_HH
#define DUMUX_ONEEQ_STAGGERED_FLUXVARIABLES_HH
 
#include <numeric>
#include <dumux/common/properties.hh>
#include <dumux/flux/fluxvariablesbase.hh>
#include <dumux/discretization/method.hh>
#include <dumux/freeflow/navierstokes/fluxvariables.hh>
#include <dumux/freeflow/rans/oneeq/fluxvariables.hh>
 
namespace Dumux {
 
// forward declaration
template<class TypeTag, class BaseFluxVariables, DiscretizationMethod discMethod>
class OneEqFluxVariablesImpl;
 
template<class TypeTag, class BaseFluxVariables>
class OneEqFluxVariablesImpl<TypeTag, BaseFluxVariables, DiscretizationMethod::staggered>
: public BaseFluxVariables
{
    using ParentType = BaseFluxVariables;
 
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
 
    using GridVolumeVariables = typename GridVariables::GridVolumeVariables;
    using ElementVolumeVariables = typename GridVolumeVariables::LocalView;
    using VolumeVariables = typename GridVolumeVariables::VolumeVariables;
 
    using GridFluxVariablesCache = typename GridVariables::GridFluxVariablesCache;
    using FluxVariablesCache = typename GridFluxVariablesCache::FluxVariablesCache;
 
    using GridFaceVariables = typename GridVariables::GridFaceVariables;
    using ElementFaceVariables = typename GridFaceVariables::LocalView;
    using FaceVariables = typename GridFaceVariables::FaceVariables;
 
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using Element = typename GridView::template Codim<0>::Entity;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using CellCenterPrimaryVariables = GetPropType<TypeTag, Properties::CellCenterPrimaryVariables>;
 
    static constexpr int viscosityTildeEqIdx = Indices::viscosityTildeEqIdx - ModelTraits::dim();
 
public:
 
    CellCenterPrimaryVariables computeMassFlux(const Problem& problem,
                                               const Element &element,
                                               const FVElementGeometry& fvGeometry,
                                               const ElementVolumeVariables& elemVolVars,
                                               const ElementFaceVariables& elemFaceVars,
                                               const SubControlVolumeFace &scvf,
                                               const FluxVariablesCache& fluxVarsCache)
    {
        CellCenterPrimaryVariables flux = ParentType::computeMassFlux(problem, element, fvGeometry,
                                                                      elemVolVars, elemFaceVars, scvf, fluxVarsCache);
 
        // calculate advective flux
        auto upwindTermK = [](const auto& volVars)
        {
            return volVars.viscosityTilde();
        };
 
        flux[viscosityTildeEqIdx]
            = ParentType::advectiveFluxForCellCenter(problem, elemVolVars, elemFaceVars, scvf, upwindTermK);
 
        // calculate diffusive flux
        const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
        const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
        const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
        const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
 
        // effective diffusion coefficients
        Scalar insideCoeff = (insideVolVars.kinematicViscosity() + insideVolVars.viscosityTilde())
                             / insideVolVars.sigma();
        Scalar outsideCoeff = (outsideVolVars.kinematicViscosity() + outsideVolVars.viscosityTilde())
                              / outsideVolVars.sigma();
 
        // scale by extrusion factor
        insideCoeff *= insideVolVars.extrusionFactor();
        outsideCoeff *= outsideVolVars.extrusionFactor();
 
        // average and distance
        Scalar coeff = arithmeticMean(insideCoeff, outsideCoeff,
                                        (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm(),
                                        (insideScv.dofPosition() - scvf.ipGlobal()).two_norm());
        Scalar distance = 0.0;
 
        // adapt boundary handling
        if (scvf.boundary())
        {
            distance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
            coeff = insideCoeff;
        }
        else
        {
            distance = (outsideScv.dofPosition() - insideScv.dofPosition()).two_norm();
        }
 
        const auto bcTypes = problem.boundaryTypes(element, scvf);
        if (!(scvf.boundary() && (bcTypes.isOutflow(Indices::viscosityTildeEqIdx)
                                  || bcTypes.isSymmetry())))
        {
            flux[viscosityTildeEqIdx]
                += coeff / distance
                   * (insideVolVars.viscosityTilde() - outsideVolVars.viscosityTilde())
                   * scvf.area();
        }
        return flux;
    }
};
 
} // end namespace
 
#endif