freeflow/rans/twoeq/kepsilon/staggered/localresidual.hh

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#ifndef DUMUX_STAGGERED_KEPSILON_LOCAL_RESIDUAL_HH
#define DUMUX_STAGGERED_KEPSILON_LOCAL_RESIDUAL_HH
 
#include <dune/common/hybridutilities.hh>
#include <dumux/common/properties.hh>
#include <dumux/discretization/method.hh>
#include <dumux/freeflow/navierstokes/localresidual.hh>
 
namespace Dumux {
 
// forward declaration
template<class TypeTag, class BaseLocalResidual, DiscretizationMethod discMethod>
class KEpsilonResidualImpl;

template<class TypeTag, class BaseLocalResidual>
class KEpsilonResidualImpl<TypeTag, BaseLocalResidual, DiscretizationMethod::staggered>
: public BaseLocalResidual
{
    using ParentType = BaseLocalResidual;
    friend class StaggeredLocalResidual<TypeTag>;
 
    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 ElementFluxVariablesCache = typename GridFluxVariablesCache::LocalView;
    using FluxVariables = GetPropType<TypeTag, Properties::FluxVariables>;
 
    using GridFaceVariables = typename GridVariables::GridFaceVariables;
    using ElementFaceVariables = typename GridFaceVariables::LocalView;
 
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
    using Element = typename GridView::template Codim<0>::Entity;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
    using CellCenterPrimaryVariables = GetPropType<TypeTag, Properties::CellCenterPrimaryVariables>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
 
    using CellCenterResidual = CellCenterPrimaryVariables;
 
    static constexpr int turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx - ModelTraits::dim();
    static constexpr int dissipationEqIdx = Indices::dissipationEqIdx - ModelTraits::dim();
 
public:
    using ParentType::ParentType;
 
    // account for the offset of the cell center privars within the PrimaryVariables container
    static constexpr auto cellCenterOffset = ModelTraits::numEq() - CellCenterPrimaryVariables::dimension;
    static_assert(cellCenterOffset == ModelTraits::dim(), "cellCenterOffset must equal dim for staggered NavierStokes");

    CellCenterPrimaryVariables computeStorageForCellCenter(const Problem& problem,
                                                           const SubControlVolume& scv,
                                                           const VolumeVariables& volVars) const
    {
        CellCenterPrimaryVariables storage = ParentType::computeStorageForCellCenter(problem, scv, volVars);
 
        storage[turbulentKineticEnergyEqIdx] = volVars.turbulentKineticEnergy();
        storage[dissipationEqIdx] = volVars.dissipation();
 
        return storage;
    }
 
    CellCenterPrimaryVariables computeSourceForCellCenter(const Problem& problem,
                                                          const Element &element,
                                                          const FVElementGeometry& fvGeometry,
                                                          const ElementVolumeVariables& elemVolVars,
                                                          const ElementFaceVariables& elemFaceVars,
                                                          const SubControlVolume &scv) const
    {
        CellCenterPrimaryVariables source = ParentType::computeSourceForCellCenter(problem, element, fvGeometry,
                                                                                   elemVolVars, elemFaceVars, scv);
 
        const auto& volVars = elemVolVars[scv];
        Scalar turbulentKineticEnergy = volVars.turbulentKineticEnergy();
        Scalar dissipation = volVars.dissipation();
 
        // production
        // turbulence production is equal to dissipation -> exclude both terms (according to local equilibrium hypothesis, see FLUENT)
        if (!volVars.isMatchingPoint())
        {
            source[turbulentKineticEnergyEqIdx] += 2.0 * volVars.kinematicEddyViscosity()
                                                   * volVars.stressTensorScalarProduct();
        }
        source[dissipationEqIdx] += volVars.cOneEpsilon()
                                    * dissipation / turbulentKineticEnergy
                                    * 2.0 * volVars.kinematicEddyViscosity()
                                    * volVars.stressTensorScalarProduct();
 
        // destruction
        // turbulence production is equal to dissipation -> exclude both terms (according to local equilibrium hypothesis, see FLUENT)
        if (!volVars.isMatchingPoint())
        {
            source[turbulentKineticEnergyEqIdx] -= dissipation;
        }
        source[dissipationEqIdx] -= volVars.cTwoEpsilon()
                                    * dissipation * dissipation
                                    / turbulentKineticEnergy;
 
        return source;
    }
};
} // end namespace Dumux
 
#endif