operator.hh

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#ifndef DUMUX_MIMETICOPERATOR2P_HH
#define DUMUX_MIMETICOPERATOR2P_HH
 
#include "croperator.hh"
#include <dumux/porousmediumflow/2p/sequential/diffusion/properties.hh>
#include <dumux/porousmediumflow/sequential/mimetic/properties.hh>
 
namespace Dumux {
 
template<class TypeTag>
class MimeticOperatorAssemblerTwoP: public CROperatorAssemblerTwoP<TypeTag>
{
    using ParentType = CROperatorAssemblerTwoP<TypeTag>;
 
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    enum
    {
        dim = GridView::dimension, dimWorld = GridView::dimensionworld,
    };
    using LocalStiffness = GetPropType<TypeTag, Properties::LocalStiffness>;
 
    using Element = typename GridView::template Codim<0>::Entity;
 
    using CellData = GetPropType<TypeTag, Properties::CellData>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using FluidState = GetPropType<TypeTag, Properties::FluidState>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::SequentialBoundaryTypes>;
    using SolutionTypes = GetProp<TypeTag, Properties::SolutionTypes>;
    using PrimaryVariables = typename SolutionTypes::PrimaryVariables;
 
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    enum
    {
        pw = Indices::pressureW,
        pn = Indices::pressureNw,
        pressureType = getPropValue<TypeTag, Properties::PressureFormulation>(),
        wPhaseIdx = Indices::wPhaseIdx,
        nPhaseIdx = Indices::nPhaseIdx,
        saturationIdx = Indices::saturationIdx,
        satEqIdx = Indices::satEqIdx,
        pressureEqIdx = Indices::pressureEqIdx
    };
 
    using FieldVector = Dune::FieldVector<Scalar, dimWorld>;
 
public:
 
    MimeticOperatorAssemblerTwoP(const GridView& gridView) :
            ParentType(gridView)
    {
    }
 
    // TODO doc me!
    template<class Vector>
    void calculatePressure(LocalStiffness& loc, Vector& u, Problem& problem)
    {
        Dune::FieldVector<Scalar, 2 * dim> velocityW(0);
        Dune::FieldVector<Scalar, 2 * dim> velocityNw(0);
        Dune::FieldVector<Scalar, 2 * dim> pressTrace(0);
        Dune::FieldVector<Scalar, 2 * dim> gravPotTrace(0);
 
        const auto firstElement = *this->gridView_.template begin<0>();
        FluidState fluidState;
        fluidState.setPressure(wPhaseIdx, problem.referencePressure(firstElement));
        fluidState.setPressure(nPhaseIdx, problem.referencePressure(firstElement));
        fluidState.setTemperature(problem.temperature(firstElement));
        fluidState.setSaturation(wPhaseIdx, 1.);
        fluidState.setSaturation(nPhaseIdx, 0.);
        Scalar densityDiff = FluidSystem::density(fluidState, nPhaseIdx) - FluidSystem::density(fluidState, wPhaseIdx);
        Scalar viscosityW = FluidSystem::viscosity(fluidState, wPhaseIdx);
        Scalar viscosityNw = FluidSystem::viscosity(fluidState, nPhaseIdx);
 
        //reset velocity
        for (int i = 0; i < problem.gridView().size(0); i++)
        {
            problem.variables().cellData(i).fluxData().resetVelocity();
        }
 
        // run over all level elements
        for (const auto& element : elements(this->gridView_))
        {
            int eIdxGlobal = problem.variables().index(element);
 
            CellData& cellData = problem.variables().cellData(eIdxGlobal);
            FieldVector globalPos = element.geometry().center();
 
            // get local to global id map and pressure traces
            for (const auto& intersection : intersections(problem.gridView(), element))
            {
                int indexInInside = intersection.indexInInside();
 
                int fIdxGlobal = this->faceMapper_.subIndex(element, indexInInside, 1);
 
                pressTrace[indexInInside] = u[fIdxGlobal];
 
                gravPotTrace[indexInInside] = (problem.bBoxMax() - intersection.geometry().center()) * problem.gravity() * densityDiff;
            }
 
            switch (pressureType)
            {
            case pw:
            {
                Scalar potW = loc.constructPressure(element, pressTrace);
                Scalar gravPot = (problem.bBoxMax() - globalPos) * problem.gravity() * densityDiff;
                Scalar potNw = potW + gravPot;
 
                cellData.setPotential(wPhaseIdx, potW);
                cellData.setPotential(nPhaseIdx, potNw);
 
                gravPot = (problem.bBoxMax() - globalPos) * problem.gravity() * FluidSystem::density(fluidState, wPhaseIdx);
 
                cellData.setPressure(wPhaseIdx, potW - gravPot);
 
                gravPot = (problem.bBoxMax() - globalPos) * problem.gravity() * FluidSystem::density(fluidState, nPhaseIdx);
 
                cellData.setPressure(nPhaseIdx, potNw - gravPot);
 
                break;
            }
            case pn:
            {
                Scalar potNw = loc.constructPressure(element, pressTrace);
                Scalar  gravPot = (problem.bBoxMax() - globalPos) * problem.gravity() * densityDiff;
                Scalar potW = potNw - gravPot;
 
                cellData.setPotential(nPhaseIdx, potNw);
                cellData.setPotential(wPhaseIdx, potW);
 
                gravPot = (problem.bBoxMax() - globalPos) * problem.gravity() * FluidSystem::density(fluidState, wPhaseIdx);
 
                cellData.setPressure(wPhaseIdx, potW - gravPot);
 
                gravPot = (problem.bBoxMax() - globalPos) * problem.gravity() * FluidSystem::density(fluidState, nPhaseIdx);
 
                cellData.setPressure(nPhaseIdx, potNw - gravPot);
 
                break;
            }
            }
 
            // velocity reconstruction: !!! The velocity which is not reconstructed from the primary
            // pressure variable can be slightly wrong and not conservative!!!!
            // -> Should not be used for transport!!
            switch (pressureType)
            {
            case pw:
            {
                loc.constructVelocity(element, velocityW, pressTrace, cellData.potential(wPhaseIdx));
                pressTrace += gravPotTrace;
                loc.constructVelocity(element, velocityNw, pressTrace, cellData.potential(nPhaseIdx));
 
                break;
            }
            case pn:
            {
                loc.constructVelocity(element, velocityW, pressTrace, cellData.potential(nPhaseIdx));
                pressTrace -= gravPotTrace;
                loc.constructVelocity(element, velocityNw, pressTrace, cellData.potential(wPhaseIdx));
 
                break;
            }
            }
 
            for (const auto& intersection : intersections(problem.gridView(), element))
            {
                int idxInInside = intersection.indexInInside();
 
                cellData.fluxData().setUpwindPotential(wPhaseIdx, idxInInside, velocityW[idxInInside]);
                cellData.fluxData().setUpwindPotential(nPhaseIdx, idxInInside, velocityNw[idxInInside]);
 
                Scalar mobilityW = 0;
                Scalar mobilityNw = 0;
 
                if (intersection.neighbor())
                {
                    int neighborIdx = problem.variables().index(intersection.outside());
 
                    CellData& cellDataNeighbor = problem.variables().cellData(neighborIdx);
 
                    mobilityW =
                            (velocityW[idxInInside] >= 0.) ? cellData.mobility(wPhaseIdx) :
                                    cellDataNeighbor.mobility(wPhaseIdx);
                    mobilityNw =
                            (velocityNw[idxInInside] >= 0.) ? cellData.mobility(nPhaseIdx) :
                                    cellDataNeighbor.mobility(nPhaseIdx);
 
                    if (velocityW[idxInInside] >= 0.)
                    {
                        FieldVector velocity(intersection.centerUnitOuterNormal());
                        velocity *= mobilityW/(mobilityW+mobilityNw) * velocityW[idxInInside];
                        cellData.fluxData().addVelocity(wPhaseIdx, idxInInside, velocity);
                        cellDataNeighbor.fluxData().addVelocity(wPhaseIdx, intersection.indexInOutside(), velocity);
                    }
                    if (velocityNw[idxInInside] >= 0.)
                    {
                        FieldVector velocity(intersection.centerUnitOuterNormal());
                        velocity *= mobilityNw/(mobilityW+mobilityNw) * velocityNw[idxInInside];
                        cellData.fluxData().addVelocity(nPhaseIdx, idxInInside, velocity);
                        cellDataNeighbor.fluxData().addVelocity(nPhaseIdx, intersection.indexInOutside(), velocity);
                    }
 
                    cellData.fluxData().setVelocityMarker(idxInInside);
                }
                else
                {
                    BoundaryTypes bctype;
                    problem.boundaryTypes(bctype, intersection);
                    if (bctype.isDirichlet(satEqIdx))
                    {
                        PrimaryVariables boundValues(0.0);
                        problem.dirichlet(boundValues, intersection);
 
                        const auto fluidMatrixInteraction = problem.spatialParams().fluidMatrixInteractionAtPos(element.geometry().center());
                        if (velocityW[idxInInside] >= 0.)
                        {
                            mobilityW = cellData.mobility(wPhaseIdx);
                        }
                        else
                        {
                            mobilityW = fluidMatrixInteraction.krw(boundValues[saturationIdx]) / viscosityW;
                        }
 
                        if (velocityNw[idxInInside] >= 0.)
                        {
                            mobilityNw = cellData.mobility(nPhaseIdx);
                        }
                        else
                        {
                            mobilityNw = fluidMatrixInteraction.krn(boundValues[saturationIdx]) / viscosityNw;
                        }
                    }
                    else
                    {
                        mobilityW = cellData.mobility(wPhaseIdx);
                        mobilityNw = cellData.mobility(nPhaseIdx);
                    }
 
                    FieldVector velocity(intersection.centerUnitOuterNormal());
                    velocity *= mobilityW / (mobilityW + mobilityNw) * velocityW[idxInInside];
                    cellData.fluxData().setVelocity(wPhaseIdx, idxInInside, velocity);
 
                    velocity = 0;
                    velocity = intersection.centerUnitOuterNormal();
                    velocity *= mobilityNw / (mobilityW + mobilityNw) * velocityNw[idxInInside];
                    cellData.fluxData().setVelocity(nPhaseIdx, idxInInside, velocity);
                    cellData.fluxData().setVelocityMarker(idxInInside);
                }
            }
        }
    }
};
} // end namespace Dumux
#endif