freeflow/rans/twoeq/lowrekepsilon/staggered/fluxvariables.hh

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#ifndef DUMUX_LOWREKEPSILON_STAGGERED_FLUXVARIABLES_HH
#define DUMUX_LOWREKEPSILON_STAGGERED_FLUXVARIABLES_HH
 
#include <numeric>
#include <dumux/common/properties.hh>
#include <dumux/flux/fluxvariablesbase.hh>
#include <dumux/discretization/method.hh>
#include <dumux/discretization/extrusion.hh>
#include <dumux/freeflow/navierstokes/fluxvariables.hh>
#include <dumux/freeflow/rans/twoeq/lowrekepsilon/fluxvariables.hh>
 
namespace Dumux {
 
// forward declaration
template<class TypeTag, class BaseFluxVariables, DiscretizationMethod discMethod>
class LowReKEpsilonFluxVariablesImpl;
 
template<class TypeTag, class BaseFluxVariables>
class LowReKEpsilonFluxVariablesImpl<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 GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
    using Extrusion = Extrusion_t<GridGeometry>;
    using GridView = typename GridGeometry::GridView;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using Element = typename GridView::template Codim<0>::Entity;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using CellCenterPrimaryVariables = GetPropType<TypeTag, Properties::CellCenterPrimaryVariables>;
    using FacePrimaryVariables = GetPropType<TypeTag, Properties::FacePrimaryVariables>;
 
    static constexpr int turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx - ModelTraits::dim();
    static constexpr int dissipationEqIdx = Indices::dissipationEqIdx - 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.turbulentKineticEnergy() * volVars.density();
        };
        auto upwindTermEpsilon = [](const auto& volVars)
        {
            return volVars.dissipationTilde() * volVars.density();
        };
 
        flux[turbulentKineticEnergyEqIdx]
            = ParentType::advectiveFluxForCellCenter(problem, elemVolVars, elemFaceVars, scvf, upwindTermK);
        flux[dissipationEqIdx]
            = ParentType::advectiveFluxForCellCenter(problem, elemVolVars, elemFaceVars, scvf, upwindTermEpsilon);
 
        // 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_k = insideVolVars.viscosity() + insideVolVars.kinematicEddyViscosity()
                                                         * insideVolVars.density() / insideVolVars.sigmaK();
        Scalar outsideCoeff_k = outsideVolVars.viscosity() + outsideVolVars.kinematicEddyViscosity()
                                                           * outsideVolVars.density() / outsideVolVars.sigmaK();
        Scalar insideCoeff_e = insideVolVars.viscosity() + insideVolVars.kinematicEddyViscosity()
                                                         * insideVolVars.density() / insideVolVars.sigmaEpsilon();
        Scalar outsideCoeff_e = outsideVolVars.viscosity() + outsideVolVars.kinematicEddyViscosity()
                                                           * outsideVolVars.density() / outsideVolVars.sigmaEpsilon();
 
        // scale by extrusion factor
        insideCoeff_k *= insideVolVars.extrusionFactor();
        outsideCoeff_k *= outsideVolVars.extrusionFactor();
        insideCoeff_e *= insideVolVars.extrusionFactor();
        outsideCoeff_e *= outsideVolVars.extrusionFactor();
 
        Scalar coeff_k = 0.0;
        Scalar coeff_e = 0.0;
        Scalar distance = 0.0;
        if (scvf.boundary())
        {
            coeff_k = insideCoeff_k;
            coeff_e = insideCoeff_e;
            distance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
        }
        else
        {
            // average and distance
            coeff_k = arithmeticMean(insideCoeff_k, outsideCoeff_k,
                                    (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm(),
                                    (insideScv.dofPosition() - scvf.ipGlobal()).two_norm());
            coeff_e = arithmeticMean(insideCoeff_e, outsideCoeff_e,
                                    (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm(),
                                    (insideScv.dofPosition() - scvf.ipGlobal()).two_norm());
            distance = (outsideScv.dofPosition() - insideScv.dofPosition()).two_norm();
        }
 
        const auto bcTypes = problem.boundaryTypes(element, scvf);
        if (!(scvf.boundary() && (bcTypes.isOutflow(Indices::turbulentKineticEnergyEqIdx)
                                  || bcTypes.isSymmetry())))
        {
            flux[turbulentKineticEnergyEqIdx]
                += coeff_k / distance
                   * (insideVolVars.turbulentKineticEnergy() - outsideVolVars.turbulentKineticEnergy())
                   * Extrusion::area(scvf);
        }
        if (!(scvf.boundary() && (bcTypes.isOutflow(Indices::dissipationEqIdx)
                                  || bcTypes.isSymmetry())))
        {
            flux[dissipationEqIdx]
                += coeff_e / distance
                   * (insideVolVars.dissipationTilde() - outsideVolVars.dissipationTilde())
                   * Extrusion::area(scvf);
        }
        return flux;
    }
 
    FacePrimaryVariables computeMomentumFlux(const Problem& problem,
                                             const Element& element,
                                             const SubControlVolumeFace& scvf,
                                             const FVElementGeometry& fvGeometry,
                                             const ElementVolumeVariables& elemVolVars,
                                             const ElementFaceVariables& elemFaceVars,
                                             const GridFluxVariablesCache& gridFluxVarsCache)
    {
        const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
 
        return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
               + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
               + 2.0 / ModelTraits::dim() * insideVolVars.density() * insideVolVars.turbulentKineticEnergy()
                 * Extrusion::area(scvf) * scvf.directionSign() * insideVolVars.extrusionFactor();
    }
};
 
} // end namespace
 
#endif