capillarydiffusion.hh

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#ifndef DUMUX_CAPILLARYDIFFUSION_HH
#define DUMUX_CAPILLARYDIFFUSION_HH
 
#include <dumux/porousmediumflow/2p/sequential/transport/cellcentered/diffusivepart.hh>
#include "properties.hh"
 
namespace Dumux {
template<class TypeTag>
class CapillaryDiffusion: public DiffusivePart<TypeTag>
{
private:
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
      using Scalar = GetPropType<TypeTag, Properties::Scalar>;
      using Problem = GetPropType<TypeTag, Properties::Problem>;
      using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
      using SpatialParams = GetPropType<TypeTag, Properties::SpatialParams>;
 
      using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
      using FluidState = GetPropType<TypeTag, Properties::FluidState>;
 
      using CellData = GetPropType<TypeTag, Properties::CellData>;
 
      using BoundaryTypes = GetPropType<TypeTag, Properties::SequentialBoundaryTypes>;
      using SolutionTypes = GetProp<TypeTag, Properties::SolutionTypes>;
      using PrimaryVariables = typename SolutionTypes::PrimaryVariables;
 
    enum
    {
        dim = GridView::dimension, dimWorld = GridView::dimensionworld
    };
    enum
    {
        wPhaseIdx = Indices::wPhaseIdx, nPhaseIdx = Indices::nPhaseIdx,
        pressEqIdx = Indices::pressureEqIdx
    };
 
    using Intersection = typename GridView::Intersection;
    using DimVector = Dune::FieldVector<Scalar, dim>;
    using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
    using DimMatrix = Dune::FieldMatrix<Scalar, dim, dim>;
 
public:

    void getFlux (DimVector& flux, const Intersection& intersection, Scalar satI, Scalar satJ,
                  const DimVector& pcGradient) const
    {
        auto element = intersection.inside();
        // get global coordinate of cell center
        const GlobalPosition& globalPos = element.geometry().center();
 
        int globalIdxI = problem_.variables().index(element);
        CellData& CellDataI = problem_.variables().cellData(globalIdxI);
 
        // get geometry type of face
        //Dune::GeometryType faceGT = isIt->geometryInInside().type();
 
        Scalar temperature = problem_.temperature(element);
        Scalar referencePressure = problem_.referencePressure(element);
 
        //get lambda_bar = lambda_n*f_w
        Scalar mobBar = 0;
        Scalar mobilityWI = 0;
        Scalar mobilityNwI = 0;
 
        const auto fluidMatrixInteraction = problem_.spatialParams().fluidMatrixInteractionAtPos(element.geometry().center());
        if (preComput_)
        {
            mobilityWI = CellDataI.mobility(wPhaseIdx);
            mobilityNwI = CellDataI.mobility(nPhaseIdx);
        }
        else
        {
            FluidState fluidState;
            fluidState.setPressure(wPhaseIdx, referencePressure);
            fluidState.setPressure(nPhaseIdx, referencePressure);
            fluidState.setTemperature(temperature);
            mobilityWI = fluidMatrixInteraction.krw(satI);
            mobilityWI /= FluidSystem::viscosity(fluidState, wPhaseIdx);
            mobilityNwI = fluidMatrixInteraction.krn(satI);
            mobilityNwI /= FluidSystem::viscosity(fluidState, nPhaseIdx);
        }
 
        DimMatrix meanPermeability(0);
 
        if (intersection.neighbor())
        {
            // access neighbor
            auto neighbor = intersection.outside();
 
            int globalIdxJ = problem_.variables().index(neighbor);
            CellData& cellDataJ = problem_.variables().cellData(globalIdxJ);
 
            // neighbor cell center in global coordinates
            const GlobalPosition& globalPosNeighbor = neighbor.geometry().center();
 
            // distance vector between barycenters
            DimVector distVec = globalPosNeighbor - globalPos;
 
            // compute distance between cell centers
            Scalar dist = distVec.two_norm();
 
            DimVector unitDistVec(distVec);
            unitDistVec /= dist;
 
            // get permeability
            problem_.spatialParams().meanK(meanPermeability,
                    problem_.spatialParams().intrinsicPermeability(element),
                    problem_.spatialParams().intrinsicPermeability(neighbor));
 
 
            Scalar mobilityWJ = 0;
            Scalar mobilityNwJ = 0;
            //get lambda_bar = lambda_n*f_w
            if(preComput_)
            {
                mobilityWJ = cellDataJ.mobility(wPhaseIdx);
                mobilityNwJ = cellDataJ.mobility(nPhaseIdx);
            }
            else
            {
                FluidState fluidState;
                fluidState.setPressure(wPhaseIdx, referencePressure);
                fluidState.setPressure(nPhaseIdx, referencePressure);
                fluidState.setTemperature(temperature);
 
                const auto fluidMatrixInteractionNeighbor = problem_.spatialParams().fluidMatrixInteractionAtPos(neighbor.geometry().center());
                mobilityWJ = fluidMatrixInteractionNeighbor.krw(satJ);
                mobilityWJ /= FluidSystem::viscosity(fluidState, wPhaseIdx);
                mobilityNwJ = fluidMatrixInteractionNeighbor.krn(satJ);
                mobilityNwJ /= FluidSystem::viscosity(fluidState, nPhaseIdx);
            }
            Scalar mobilityWMean = 0.5*(mobilityWI + mobilityWJ);
            Scalar mobilityNwMean = 0.5*(mobilityNwI + mobilityNwJ);
            mobBar = mobilityWMean*mobilityNwMean/(mobilityWMean+mobilityNwMean);
         }//end intersection with neighbor
        else
        {
            BoundaryTypes bcTypes;
            problem_.boundaryTypes(bcTypes, intersection);
            if (bcTypes.isNeumann(pressEqIdx))
            {
                PrimaryVariables priVars;
                problem_.neumann(priVars, intersection);
                if (priVars[wPhaseIdx] == 0)
                {
                    flux = 0;
                    return;
                }
            }
            // get permeability
            problem_.spatialParams().meanK(meanPermeability,
                    problem_.spatialParams().intrinsicPermeability(element));
 
            Scalar mobilityWJ = 0;
            Scalar mobilityNwJ = 0;
 
            //calculate lambda_n*f_w at the boundary
            FluidState fluidState;
            fluidState.setPressure(wPhaseIdx, referencePressure);
            fluidState.setPressure(nPhaseIdx, referencePressure);
            fluidState.setTemperature(temperature);
            mobilityWJ = fluidMatrixInteraction.krw(satJ);
            mobilityWJ /= FluidSystem::viscosity(fluidState, wPhaseIdx);
            mobilityNwJ = fluidMatrixInteraction.krn(satJ);
            mobilityNwJ /= FluidSystem::viscosity(fluidState, nPhaseIdx);
 
            Scalar mobWMean = 0.5 * (mobilityWI + mobilityWJ);
            Scalar mobNwMean = 0.5 * (mobilityNwI + mobilityNwJ);
 
            mobBar = mobWMean * mobNwMean / (mobWMean + mobNwMean);
        }
 
        // set result to K*grad(pc)
        meanPermeability.mv(pcGradient, flux);
 
        // set result to f_w*lambda_n*K*grad(pc)
        flux *= mobBar;
    }

    CapillaryDiffusion (Problem& problem)
    : DiffusivePart<TypeTag>(problem), problem_(problem), preComput_(getPropValue<TypeTag, Properties::PrecomputedConstRels>())
    {}
 
private:
    Problem& problem_;//problem data
    const bool preComput_;//if preCompute = true the mobilities are taken from the variable object,
                          //if preCompute = false new mobilities will be taken (for implicit Scheme)
};
} // end namespace Dumux
 
#endif