3dpressurevelocity.hh

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#ifndef DUMUX_FVMPFAL2PFABOUND3DVELOCITIES2P_HH
#define DUMUX_FVMPFAL2PFABOUND3DVELOCITIES2P_HH
 
#include <dune/common/float_cmp.hh>
#include "3dpressure.hh"
#include "3dvelocity.hh"
 
namespace Dumux {
template<class TypeTag> class FvMpfaL3dPressureVelocity2p: public FvMpfaL3dPressure2p<TypeTag>
{
    using ParentType = FvMpfaL3dPressure2p<TypeTag>;
 
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
 
    enum
        {
            dim = GridView::dimension, dimWorld = GridView::dimensionworld
        };
 
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    enum
    {
        pw = Indices::pressureW,
        pn = Indices::pressureNw,
        sw = Indices::saturationW,
        sn = Indices::saturationNw,
        wPhaseIdx = Indices::wPhaseIdx,
        nPhaseIdx = Indices::nPhaseIdx,
        pressureIdx = Indices::pressureIdx,
        saturationIdx = Indices::saturationIdx,
        pressEqIdx = Indices::pressureEqIdx,
        satEqIdx = Indices::satEqIdx,
        numPhases = getPropValue<TypeTag, Properties::NumPhases>()
    };
 
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using FluidState = GetPropType<TypeTag, Properties::FluidState>;
    using CellData = GetPropType<TypeTag, Properties::CellData>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using SolutionTypes = GetProp<TypeTag, Properties::SolutionTypes>;
    using PrimaryVariables = typename SolutionTypes::PrimaryVariables;
    using SpatialParams = GetPropType<TypeTag, Properties::SpatialParams>;
    using MaterialLaw = typename SpatialParams::MaterialLaw;
 
    using ReferenceElements = Dune::ReferenceElements<Scalar, dim>;
 
    using InteractionVolume = GetPropType<TypeTag, Properties::MPFAInteractionVolume>;
    using Intersection = typename GridView::Intersection;
 
    using Element = typename GridView::template Codim<0>::Entity;
 
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    using DimMatrix = Dune::FieldMatrix<Scalar, dim, dim>;
 
public:
    FvMpfaL3dPressureVelocity2p(Problem& problem) :
        ParentType(problem), problem_(problem), velocity_(problem)
    {
        density_[wPhaseIdx] = 0.;
        density_[nPhaseIdx] = 0.;
        viscosity_[wPhaseIdx] = 0.;
        viscosity_[nPhaseIdx] = 0.;
 
        calcVelocityInTransport_ = getParam<bool>("MPFA.CalcVelocityInTransport");
    }
 
    void calculateVelocity();
 
public:
 
    // Calculates the velocity at a cell-cell interface.
    void calculateVelocity(const Intersection&, CellData&);
    void calculateVelocityOnBoundary(const Intersection& intersection, CellData& cellData);
 
    void updateVelocity()
    {
        this->updateMaterialLaws();
 
        this->storePressureSolution();
 
        if (!calculateVelocityInTransport())
        calculateVelocity();
    }
 
    void initialize(bool solveTwice = true)
    {
        const auto element = *problem_.gridView().template begin<0>();
        FluidState fluidState;
        fluidState.setPressure(wPhaseIdx, problem_.referencePressure(element));
        fluidState.setPressure(nPhaseIdx, problem_.referencePressure(element));
        fluidState.setTemperature(problem_.temperature(element));
        fluidState.setSaturation(wPhaseIdx, 1.);
        fluidState.setSaturation(nPhaseIdx, 0.);
        density_[wPhaseIdx] = FluidSystem::density(fluidState, wPhaseIdx);
        density_[nPhaseIdx] = FluidSystem::density(fluidState, nPhaseIdx);
        viscosity_[wPhaseIdx] = FluidSystem::viscosity(fluidState, wPhaseIdx);
        viscosity_[nPhaseIdx] = FluidSystem::viscosity(fluidState, nPhaseIdx);
 
        ParentType::initialize();
        velocity_.initialize();
 
        if (!calculateVelocityInTransport())
        calculateVelocity();
 
        return;
    }
 
    void update()
    {
        ParentType::update();
 
        if (!calculateVelocityInTransport())
        calculateVelocity();
    }
 
    bool calculateVelocityInTransport()
    {
        return calcVelocityInTransport_;
    }
 
    template<class MultiWriter>
    void addOutputVtkFields(MultiWriter &writer)
    {
        ParentType::addOutputVtkFields(writer);
        velocity_.addOutputVtkFields(writer);
    }
 
private:
    Problem& problem_;
    FvMpfaL3dVelocity2p<TypeTag> velocity_;
 
    Scalar density_[numPhases];
    Scalar viscosity_[numPhases];
    bool calcVelocityInTransport_;
 
    static const int pressureType_ = getPropValue<TypeTag, Properties::PressureFormulation>();
    static const int saturationType_ = getPropValue<TypeTag, Properties::SaturationFormulation>();
};
// end of template
 
template<class TypeTag>
void FvMpfaL3dPressureVelocity2p<TypeTag>::calculateVelocity()
{
    // run through all vertices
    for (const auto& vertex : vertices(problem_.gridView()))
    {
        int vIdxGlobal = problem_.variables().index(vertex);
 
        InteractionVolume& interactionVolume = this->interactionVolumes_.interactionVolume(vIdxGlobal);
 
        // inner interactionvolume
        if (interactionVolume.isInnerVolume())
        {
            // cell index
            int eIdxGlobal[8];
            for (int i = 0; i < 8; i++)
            {
                eIdxGlobal[i] = problem_.variables().index(interactionVolume.getSubVolumeElement(i));
            }
 
            //get the cell Data
            CellData & cellData1 = problem_.variables().cellData(eIdxGlobal[0]);
            CellData & cellData2 = problem_.variables().cellData(eIdxGlobal[1]);
            CellData & cellData3 = problem_.variables().cellData(eIdxGlobal[2]);
            CellData & cellData4 = problem_.variables().cellData(eIdxGlobal[3]);
            CellData & cellData5 = problem_.variables().cellData(eIdxGlobal[4]);
            CellData & cellData6 = problem_.variables().cellData(eIdxGlobal[5]);
            CellData & cellData7 = problem_.variables().cellData(eIdxGlobal[6]);
            CellData & cellData8 = problem_.variables().cellData(eIdxGlobal[7]);
 
            velocity_.calculateInnerInteractionVolumeVelocity(interactionVolume,
                    cellData1, cellData2, cellData3, cellData4,
                    cellData5, cellData6, cellData7, cellData8,
                    this->interactionVolumes_, this->transmissibilityCalculator_);
        }
        // at least one face on boundary! (boundary interactionvolume)
        else
        {
            for (int elemIdx = 0; elemIdx < 8; elemIdx++)
            {
                if (!interactionVolume.hasSubVolumeElement(elemIdx))
                {
                    continue;
                }
                bool isOutside = false;
                for (int fIdx = 0; fIdx < dim; fIdx++)
                {
                    int intVolFaceIdx = interactionVolume.getFaceIndexFromSubVolume(elemIdx, fIdx);
                    if (interactionVolume.isOutsideFace(intVolFaceIdx))
                    {
                        isOutside = true;
                        break;
                    }
                }
                if (isOutside)
                {
                    continue;
                }
                // cell index
                int eIdxGlobal = problem_.variables().index(interactionVolume.getSubVolumeElement(elemIdx));
                //get the cell Data
                CellData& cellData = problem_.variables().cellData(eIdxGlobal);
 
                velocity_.calculateBoundaryInteractionVolumeVelocity(interactionVolume, cellData, elemIdx);
            }
        } // end boundaries
 
    } // end vertex iterator
 
    return;
}
 
template<class TypeTag>
void FvMpfaL3dPressureVelocity2p<TypeTag>::calculateVelocity(const Intersection& intersection, CellData& cellData)
{
    int numVertices = intersection.geometry().corners();
 
    auto elementI = intersection.inside();
    auto elementJ = intersection.outside();
 
    int eIdxGlobalI DUNE_UNUSED = problem_.variables().index(elementI);
    int eIdxGlobalJ = problem_.variables().index(elementJ);
 
    CellData& cellDataJ = problem_.variables().cellData(eIdxGlobalJ);
 
    const auto referenceElement = ReferenceElements::general(elementI.type());
 
    int indexInInside = intersection.indexInInside();
    int indexInOutside = intersection.indexInOutside();
 
    Dune::FieldVector<CellData, 8> cellDataTemp;
 
    for (int vIdx = 0; vIdx < numVertices; vIdx++)
    {
        int localVertIdx = referenceElement.subEntity(indexInInside, 1, vIdx, dim);
 
        int vIdxGlobal = problem_.variables().index(elementI.template subEntity<dim>(localVertIdx));
 
        InteractionVolume& interactionVolume = this->interactionVolumes_.interactionVolume(vIdxGlobal);
 
        if (interactionVolume.isInnerVolume())
        {
        // cell index
        int localMpfaElemIdxI = 0;
        int localMpfaElemIdxJ = 0;
 
        int eIdxGlobal[8];
        for (int i = 0; i < 8; i++)
        {
            auto elem = interactionVolume.getSubVolumeElement(i);
 
            if (elem == elementI)
                localMpfaElemIdxI = i;
            else if (elem == elementJ)
                localMpfaElemIdxJ = i;
 
            eIdxGlobal[i] = problem_.variables().index(elem);
            cellDataTemp[i] = problem_.variables().cellData(eIdxGlobal[i]);
        }
 
        int mpfaFaceIdx = IndexTranslator::getFaceIndexFromElements(localMpfaElemIdxI, localMpfaElemIdxJ);
 
        //        std::cout<<"mpfaFaceIdx = "<<mpfaFaceIdx<<"\n";
 
        velocity_.calculateInnerInteractionVolumeVelocity(interactionVolume,
                cellDataTemp[0], cellDataTemp[1], cellDataTemp[2], cellDataTemp[3],
                cellDataTemp[4], cellDataTemp[5], cellDataTemp[6], cellDataTemp[7],
                this->interactionVolumes_, this->transmissibilityCalculator_, mpfaFaceIdx);
 
 
        cellData.fluxData().setVelocity(wPhaseIdx, indexInInside,
               cellDataTemp[localMpfaElemIdxI].fluxData().velocity(wPhaseIdx, indexInInside));
        cellData.fluxData().setVelocity(nPhaseIdx, indexInInside,
               cellDataTemp[localMpfaElemIdxI].fluxData().velocity(nPhaseIdx, indexInInside));
        cellData.fluxData().setUpwindPotential(wPhaseIdx, indexInInside,
               cellDataTemp[localMpfaElemIdxI].fluxData().upwindPotential(wPhaseIdx, indexInInside));
        cellData.fluxData().setUpwindPotential(nPhaseIdx, indexInInside,
               cellDataTemp[localMpfaElemIdxI].fluxData().upwindPotential(nPhaseIdx, indexInInside));
 
        cellDataJ.fluxData().setVelocity(wPhaseIdx, indexInOutside,
               cellDataTemp[localMpfaElemIdxJ].fluxData().velocity(wPhaseIdx, indexInOutside));
        cellDataJ.fluxData().setVelocity(nPhaseIdx, indexInOutside,
               cellDataTemp[localMpfaElemIdxJ].fluxData().velocity(nPhaseIdx, indexInOutside));
        cellDataJ.fluxData().setUpwindPotential(wPhaseIdx, indexInOutside,
               cellDataTemp[localMpfaElemIdxJ].fluxData().upwindPotential(wPhaseIdx, indexInOutside));
        cellDataJ.fluxData().setUpwindPotential(nPhaseIdx, indexInOutside,
               cellDataTemp[localMpfaElemIdxJ].fluxData().upwindPotential(nPhaseIdx, indexInOutside));
        }
    }
    cellData.fluxData().setVelocityMarker(indexInInside);
    cellDataJ.fluxData().setVelocityMarker(indexInOutside);
}
 
template<class TypeTag>
void FvMpfaL3dPressureVelocity2p<TypeTag>::calculateVelocityOnBoundary(const Intersection& intersection, CellData& cellData)
{
    auto element = intersection.inside();
 
    //get face index
    int isIndex = intersection.indexInInside();
 
    //get face normal
    const Dune::FieldVector<Scalar, dim>& unitOuterNormal = intersection.centerUnitOuterNormal();
 
    BoundaryTypes bcType;
    //get boundary type
    problem_.boundaryTypes(bcType, intersection);
    PrimaryVariables boundValues(0.0);
 
    if (bcType.isDirichlet(pressEqIdx))
    {
        problem_.dirichlet(boundValues, intersection);
 
        // get global coordinates of cell centers
        const GlobalPosition& globalPosI = element.geometry().center();
 
        // center of face in global coordinates
        const GlobalPosition& globalPosJ = intersection.geometry().center();
 
        // get mobilities and fractional flow factors
        Scalar lambdaWI = cellData.mobility(wPhaseIdx);
        Scalar lambdaNwI = cellData.mobility(nPhaseIdx);
 
        // get capillary pressure
        Scalar pcI = cellData.capillaryPressure();
 
        // distance vector between barycenters
        GlobalPosition distVec = globalPosJ - globalPosI;
 
        // compute distance between cell centers
        Scalar dist = distVec.two_norm();
 
        //permeability vector at boundary
        // compute vectorized permeabilities
        DimMatrix meanPermeability(0);
 
        problem_.spatialParams().meanK(meanPermeability, problem_.spatialParams().intrinsicPermeability(element));
 
        Dune::FieldVector<Scalar, dim> permeability(0);
        meanPermeability.mv(unitOuterNormal, permeability);
 
        //determine saturation at the boundary -> if no saturation is known directly at the boundary use the cell saturation
        Scalar satW = 0;
        if (bcType.isDirichlet(satEqIdx))
        {
            switch (saturationType_)
            {
            case sw:
            {
                satW = boundValues[saturationIdx];
                break;
            }
            case sn:
            {
                satW = 1 - boundValues[saturationIdx];
                break;
            }
            }
        }
        else
        {
            satW = cellData.saturation(wPhaseIdx);
        }
 
        Scalar pressBound = boundValues[pressureIdx];
        Scalar pcBound = MaterialLaw::pc(problem_.spatialParams().materialLawParams(element), satW);
 
        //determine phase pressures from primary pressure variable
        Scalar pressWBound = 0;
        Scalar pressNwBound = 0;
        if (pressureType_ == pw)
        {
            pressWBound = pressBound;
            pressNwBound = pressBound + pcBound;
        }
        else if (pressureType_ == pn)
        {
            pressWBound = pressBound - pcBound;
            pressNwBound = pressBound;
        }
 
        Scalar lambdaWBound = MaterialLaw::krw(problem_.spatialParams().materialLawParams(element), satW)
                / viscosity_[wPhaseIdx];
        Scalar lambdaNwBound = MaterialLaw::krn(problem_.spatialParams().materialLawParams(element), satW)
                / viscosity_[nPhaseIdx];
 
        Scalar potentialDiffW = cellData.fluxData().upwindPotential(wPhaseIdx, isIndex);
        Scalar potentialDiffNw = cellData.fluxData().upwindPotential(nPhaseIdx, isIndex);
 
        //calculate potential gradient
        potentialDiffW = (cellData.pressure(wPhaseIdx) - pressWBound);
        potentialDiffNw = (cellData.pressure(nPhaseIdx) - pressNwBound);
 
        potentialDiffW += density_[wPhaseIdx] * (distVec * problem_.gravity());
        potentialDiffNw += density_[nPhaseIdx] * (distVec * problem_.gravity());
 
        //store potential gradients for further calculations
        cellData.fluxData().setUpwindPotential(wPhaseIdx, isIndex, potentialDiffW);
        cellData.fluxData().setUpwindPotential(nPhaseIdx, isIndex, potentialDiffNw);
 
        //do the upwinding of the mobility depending on the phase potentials
        Scalar lambdaW = (potentialDiffW > 0.) ? lambdaWI : lambdaWBound;
        lambdaW = (Dune::FloatCmp::eq<Scalar, Dune::FloatCmp::absolute>(potentialDiffW, 0.0, 1.0e-30)) ? 0.5 * (lambdaWI + lambdaWBound) : lambdaW;
        Scalar lambdaNw = (potentialDiffNw > 0.) ? lambdaNwI : lambdaNwBound;
        lambdaNw = (Dune::FloatCmp::eq<Scalar, Dune::FloatCmp::absolute>(potentialDiffNw, 0.0, 1.0e-30)) ? 0.5 * (lambdaNwI + lambdaNwBound) : lambdaNw;
 
 
        Scalar scalarPerm = permeability.two_norm();
 
        //calculate the gravity term
        Dune::FieldVector<Scalar, dimWorld> velocityW(unitOuterNormal);
        Dune::FieldVector<Scalar, dimWorld> velocityNw(unitOuterNormal);
 
        //calculate unit distVec
        distVec /= dist;
        Scalar areaScaling = (unitOuterNormal * distVec);
        //this treatment of g allows to account for gravity flux through faces where the face normal has no z component (e.g. parallelepiped grids)
        Scalar gravityTermW = (problem_.gravity() * distVec) * density_[wPhaseIdx] * areaScaling;
        Scalar gravityTermNw = (problem_.gravity() * distVec) * density_[nPhaseIdx] * areaScaling;
 
        //calculate velocity depending on the pressure used -> use pc = pn - pw
        switch (pressureType_)
        {
        case pw:
        {
            velocityW *= lambdaW * scalarPerm * ((cellData.pressure(wPhaseIdx) - pressBound) / dist + gravityTermW);
            velocityNw *= lambdaNw * scalarPerm * ((cellData.pressure(wPhaseIdx) - pressBound) / dist + gravityTermNw)
                    + 0.5 * (lambdaNwI + lambdaNwBound) * scalarPerm * (pcI - pcBound) / dist;
            break;
        }
        case pn:
        {
            velocityW *= lambdaW * scalarPerm * ((cellData.pressure(nPhaseIdx) - pressBound) / dist + gravityTermW)
                    - 0.5 * (lambdaWI + lambdaWBound) * scalarPerm * (pcI - pcBound) / dist;
            velocityNw *= lambdaNw * scalarPerm * ((cellData.pressure(nPhaseIdx) - pressBound) / dist + gravityTermNw);
            break;
        }
        }
 
        //store velocities
        cellData.fluxData().setVelocity(wPhaseIdx, isIndex, velocityW);
        cellData.fluxData().setVelocity(nPhaseIdx, isIndex, velocityNw);
        cellData.fluxData().setVelocityMarker(isIndex);
 
    } //end dirichlet boundary
 
    else if (bcType.isNeumann(pressEqIdx))
    {
        problem_.neumann(boundValues, intersection);
 
        Dune::FieldVector<Scalar, dimWorld> velocityW(unitOuterNormal);
        Dune::FieldVector<Scalar, dimWorld> velocityNw(unitOuterNormal);
 
        velocityW *= boundValues[wPhaseIdx];
        velocityNw *= boundValues[nPhaseIdx];
 
            velocityW /= density_[wPhaseIdx];
            velocityNw /= density_[nPhaseIdx];
 
        //store potential gradients for further calculations
        cellData.fluxData().setUpwindPotential(wPhaseIdx, isIndex, boundValues[wPhaseIdx]);
        cellData.fluxData().setUpwindPotential(nPhaseIdx, isIndex, boundValues[nPhaseIdx]);
 
        cellData.fluxData().setVelocity(wPhaseIdx, isIndex, velocityW);
        cellData.fluxData().setVelocity(nPhaseIdx, isIndex, velocityNw);
        cellData.fluxData().setVelocityMarker(isIndex);
    } //end neumann boundary
    else
    {
        DUNE_THROW(Dune::NotImplemented, "No valid boundary condition type defined for pressure equation!");
    }
}
 
} // end namespace Dumux
#endif