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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-

// vi: set et ts=4 sw=4 sts=4:

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#ifndef DUMUX_2P_INCOMPRESSIBLE_TEST_LOCAL_RESIDUAL_HH

#define DUMUX_2P_INCOMPRESSIBLE_TEST_LOCAL_RESIDUAL_HH


#include <cmath>


#include <dumux/common/properties.hh>

#include <dumux/common/parameters.hh>


#include <dumux/discretization/method.hh>

#include <dumux/discretization/elementsolution.hh>

#include <dumux/discretization/extrusion.hh>


#include <dumux/porousmediumflow/immiscible/localresidual.hh>

#include <dumux/porousmediumflow/2p/formulation.hh>


namespace Dumux {


template<class TypeTag>

class TwoPIncompressibleLocalResidual : public ImmiscibleLocalResidual<TypeTag>

{

    using ParentType = ImmiscibleLocalResidual<TypeTag>;

    using Scalar = GetPropType<TypeTag, Properties::Scalar>;

    using Problem = GetPropType<TypeTag, Properties::Problem>;

    using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>;

    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;

    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;

    using FluxVariables = GetPropType<TypeTag, Properties::FluxVariables>;

    using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView;

    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;

    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;

    using FVElementGeometry = typename GridGeometry::LocalView;

    using SubControlVolume = typename GridGeometry::SubControlVolume;

    using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;

    using Extrusion = Extrusion_t<GridGeometry>;

    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;

    using Element = typename GridView::template Codim<0>::Entity;

    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;

    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;


    static constexpr int numPhases = ModelTraits::numFluidPhases();

    static constexpr int pressureIdx = ModelTraits::Indices::pressureIdx;

    static constexpr int saturationIdx = ModelTraits::Indices::saturationIdx;

    static constexpr int conti0EqIdx = ModelTraits::Indices::conti0EqIdx;


public:

    using ParentType::ParentType;


    template<class PartialDerivativeMatrix>

    void addStorageDerivatives(PartialDerivativeMatrix& partialDerivatives,

                               const Problem& problem,

                               const Element& element,

                               const FVElementGeometry& fvGeometry,

                               const VolumeVariables& curVolVars,

                               const SubControlVolume& scv) const

    {

        static_assert(!FluidSystem::isCompressible(0),

                      "2p/incompressiblelocalresidual.hh: Only incompressible fluids are allowed!");

        static_assert(!FluidSystem::isCompressible(1),

                      "2p/incompressiblelocalresidual.hh: Only incompressible fluids are allowed!");

        static_assert(ModelTraits::numFluidPhases() == 2,

                      "2p/incompressiblelocalresidual.hh: Only two-phase models are allowed!");

        static_assert(ModelTraits::priVarFormulation() == TwoPFormulation::p0s1,

                      "2p/incompressiblelocalresidual.hh: Analytic differentiation has to be checked for p1-s0 formulation!");


        const auto poreVolume = Extrusion::volume(scv)*curVolVars.porosity();

        const auto dt = this->timeLoop().timeStepSize();


        // partial derivative of the phase storage terms w.r.t. S_n

        partialDerivatives[conti0EqIdx+0][saturationIdx] -= poreVolume*curVolVars.density(0)/dt;

        partialDerivatives[conti0EqIdx+1][saturationIdx] += poreVolume*curVolVars.density(1)/dt;

    }


    template<class PartialDerivativeMatrix>

    void addSourceDerivatives(PartialDerivativeMatrix& partialDerivatives,

                              const Problem& problem,

                              const Element& element,

                              const FVElementGeometry& fvGeometry,

                              const VolumeVariables& curVolVars,

                              const SubControlVolume& scv) const

    { /* TODO maybe forward to problem for the user to implement the source derivatives?*/ }


    template<class PartialDerivativeMatrices, class T = TypeTag>

    std::enable_if_t<GetPropType<T, Properties::GridGeometry>::discMethod == DiscretizationMethods::cctpfa, void>

    addFluxDerivatives(PartialDerivativeMatrices& derivativeMatrices,

                       const Problem& problem,

                       const Element& element,

                       const FVElementGeometry& fvGeometry,

                       const ElementVolumeVariables& curElemVolVars,

                       const ElementFluxVariablesCache& elemFluxVarsCache,

                       const SubControlVolumeFace& scvf) const

    {

        static_assert(!FluidSystem::isCompressible(0),

                      "2p/incompressiblelocalresidual.hh: Only incompressible fluids are allowed!");

        static_assert(!FluidSystem::isCompressible(1),

                      "2p/incompressiblelocalresidual.hh: Only incompressible fluids are allowed!");

        static_assert(FluidSystem::viscosityIsConstant(0),

                      "2p/incompressiblelocalresidual.hh: Only fluids with constant viscosities are allowed!");

        static_assert(FluidSystem::viscosityIsConstant(1),

                      "2p/incompressiblelocalresidual.hh: Only fluids with constant viscosities are allowed!");

        static_assert(ModelTraits::numFluidPhases() == 2,

                      "2p/incompressiblelocalresidual.hh: Only two-phase models are allowed!");

        static_assert(ModelTraits::priVarFormulation() == TwoPFormulation::p0s1,

                      "2p/incompressiblelocalresidual.hh: Analytic differentiation has to be checked for p1-s0 formulation!");


        using AdvectionType = GetPropType<TypeTag, Properties::AdvectionType>;


        // evaluate the current wetting phase Darcy flux and resulting upwind weights

        static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");

        const auto flux_w = AdvectionType::flux(problem, element, fvGeometry, curElemVolVars, scvf, 0, elemFluxVarsCache);

        const auto flux_n = AdvectionType::flux(problem, element, fvGeometry, curElemVolVars, scvf, 1, elemFluxVarsCache);

        const auto insideWeight_w = std::signbit(flux_w) ? (1.0 - upwindWeight) : upwindWeight;

        const auto outsideWeight_w = 1.0 - insideWeight_w;

        const auto insideWeight_n = std::signbit(flux_n) ? (1.0 - upwindWeight) : upwindWeight;

        const auto outsideWeight_n = 1.0 - insideWeight_n;


        // get references to the two participating vol vars & parameters

        const auto insideScvIdx = scvf.insideScvIdx();

        const auto outsideScvIdx = scvf.outsideScvIdx();

        const auto outsideElement = fvGeometry.gridGeometry().element(outsideScvIdx);

        const auto& insideScv = fvGeometry.scv(insideScvIdx);

        const auto& outsideScv = fvGeometry.scv(outsideScvIdx);

        const auto& insideVolVars = curElemVolVars[insideScvIdx];

        const auto& outsideVolVars = curElemVolVars[outsideScvIdx];


        const auto insidefluidMatrixInteraction = problem.spatialParams().fluidMatrixInteraction(

            element, insideScv, elementSolution<FVElementGeometry>(insideVolVars.priVars())

        );

        const auto outsidefluidMatrixInteraction = problem.spatialParams().fluidMatrixInteraction(

            outsideElement, outsideScv, elementSolution<FVElementGeometry>(outsideVolVars.priVars())

        );


        // get references to the two participating derivative matrices

        auto& dI_dI = derivativeMatrices[insideScvIdx];

        auto& dI_dJ = derivativeMatrices[outsideScvIdx];


        // some quantities to be reused (rho & mu are constant and thus equal for all cells)

        static const auto rho_w = insideVolVars.density(0);

        static const auto rho_n = insideVolVars.density(1);

        static const auto rhow_muw = rho_w/insideVolVars.viscosity(0);

        static const auto rhon_mun = rho_n/insideVolVars.viscosity(1);

        const auto rhowKrw_muw_inside = rho_w*insideVolVars.mobility(0);

        const auto rhonKrn_mun_inside = rho_n*insideVolVars.mobility(1);

        const auto rhowKrw_muw_outside = rho_w*outsideVolVars.mobility(0);

        const auto rhonKrn_mun_outside = rho_n*outsideVolVars.mobility(1);


        // derivative w.r.t. to Sn is the negative of the one w.r.t. Sw

        const auto insideSw = insideVolVars.saturation(0);

        const auto outsideSw = outsideVolVars.saturation(0);

        const auto dKrw_dSn_inside = -1.0*insidefluidMatrixInteraction.dkrw_dsw(insideSw);

        const auto dKrw_dSn_outside = -1.0*outsidefluidMatrixInteraction.dkrw_dsw(outsideSw);

        const auto dKrn_dSn_inside = -1.0*insidefluidMatrixInteraction.dkrn_dsw(insideSw);

        const auto dKrn_dSn_outside = -1.0*outsidefluidMatrixInteraction.dkrn_dsw(outsideSw);

        const auto dpc_dSn_inside = -1.0*insidefluidMatrixInteraction.dpc_dsw(insideSw);

        const auto dpc_dSn_outside = -1.0*outsidefluidMatrixInteraction.dpc_dsw(outsideSw);


        const auto tij = elemFluxVarsCache[scvf].advectionTij();


        // precalculate values

        const auto up_w = rhowKrw_muw_inside*insideWeight_w + rhowKrw_muw_outside*outsideWeight_w;

        const auto up_n = rhonKrn_mun_inside*insideWeight_n + rhonKrn_mun_outside*outsideWeight_n;

        const auto rho_mu_flux_w = rhow_muw*flux_w;

        const auto rho_mu_flux_n = rhon_mun*flux_n;

        const auto tij_up_w = tij*up_w;

        const auto tij_up_n = tij*up_n;


        // partial derivative of the wetting phase flux w.r.t. p_w

        dI_dI[conti0EqIdx+0][pressureIdx] += tij_up_w;

        dI_dJ[conti0EqIdx+0][pressureIdx] -= tij_up_w;


        // partial derivative of the wetting phase flux w.r.t. S_n

        dI_dI[conti0EqIdx+0][saturationIdx] += rho_mu_flux_w*dKrw_dSn_inside*insideWeight_w;

        dI_dJ[conti0EqIdx+0][saturationIdx] += rho_mu_flux_w*dKrw_dSn_outside*outsideWeight_w;


        // partial derivative of the nonwetting phase flux w.r.t. p_w

        dI_dI[conti0EqIdx+1][pressureIdx] += tij_up_n;

        dI_dJ[conti0EqIdx+1][pressureIdx] -= tij_up_n;


        // partial derivative of the nonwetting phase flux w.r.t. S_n (relative permeability derivative contribution)

        dI_dI[conti0EqIdx+1][saturationIdx] += rho_mu_flux_n*dKrn_dSn_inside*insideWeight_n;

        dI_dJ[conti0EqIdx+1][saturationIdx] += rho_mu_flux_n*dKrn_dSn_outside*outsideWeight_n;


        // partial derivative of the nonwetting phase flux w.r.t. S_n (capillary pressure derivative contribution)

        dI_dI[conti0EqIdx+1][saturationIdx] += tij_up_n*dpc_dSn_inside;

        dI_dJ[conti0EqIdx+1][saturationIdx] -= tij_up_n*dpc_dSn_outside;

    }


    template<class JacobianMatrix, class T = TypeTag>

    std::enable_if_t<GetPropType<T, Properties::GridGeometry>::discMethod == DiscretizationMethods::box, void>

    addFluxDerivatives(JacobianMatrix& A,

                       const Problem& problem,

                       const Element& element,

                       const FVElementGeometry& fvGeometry,

                       const ElementVolumeVariables& curElemVolVars,

                       const ElementFluxVariablesCache& elemFluxVarsCache,

                       const SubControlVolumeFace& scvf) const

    {

        static_assert(!FluidSystem::isCompressible(0),

                      "2p/incompressiblelocalresidual.hh: Only incompressible fluids are allowed!");

        static_assert(!FluidSystem::isCompressible(1),

                      "2p/incompressiblelocalresidual.hh: Only incompressible fluids are allowed!");

        static_assert(FluidSystem::viscosityIsConstant(0),

                      "2p/incompressiblelocalresidual.hh: Only fluids with constant viscosities are allowed!");

        static_assert(FluidSystem::viscosityIsConstant(1),

                      "2p/incompressiblelocalresidual.hh: Only fluids with constant viscosities are allowed!");

        static_assert(ModelTraits::numFluidPhases() == 2,

                      "2p/incompressiblelocalresidual.hh: Only two-phase models are allowed!");

        static_assert(ModelTraits::priVarFormulation() == TwoPFormulation::p0s1,

                      "2p/incompressiblelocalresidual.hh: Analytic differentiation has to be checked for p0-s1 formulation!");


        using AdvectionType = GetPropType<TypeTag, Properties::AdvectionType>;


        // evaluate the current wetting phase Darcy flux and resulting upwind weights

        static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");

        const auto flux_w = AdvectionType::flux(problem, element, fvGeometry, curElemVolVars, scvf, 0, elemFluxVarsCache);

        const auto flux_n = AdvectionType::flux(problem, element, fvGeometry, curElemVolVars, scvf, 1, elemFluxVarsCache);

        const auto insideWeight_w = std::signbit(flux_w) ? (1.0 - upwindWeight) : upwindWeight;

        const auto outsideWeight_w = 1.0 - insideWeight_w;

        const auto insideWeight_n = std::signbit(flux_n) ? (1.0 - upwindWeight) : upwindWeight;

        const auto outsideWeight_n = 1.0 - insideWeight_n;


        // get references to the two participating vol vars & parameters

        const auto insideScvIdx = scvf.insideScvIdx();

        const auto outsideScvIdx = scvf.outsideScvIdx();

        const auto& insideScv = fvGeometry.scv(insideScvIdx);

        const auto& outsideScv = fvGeometry.scv(outsideScvIdx);

        const auto& insideVolVars = curElemVolVars[insideScv];

        const auto& outsideVolVars = curElemVolVars[outsideScv];


        const auto elemSol = elementSolution(element, curElemVolVars, fvGeometry);


        const auto insidefluidMatrixInteraction

            = problem.spatialParams().fluidMatrixInteraction(element, insideScv, elemSol);

        const auto outsidefluidMatrixInteraction

            = problem.spatialParams().fluidMatrixInteraction(element, outsideScv, elemSol);


        // some quantities to be reused (rho & mu are constant and thus equal for all cells)

        static const auto rho_w = insideVolVars.density(0);

        static const auto rho_n = insideVolVars.density(1);

        static const auto rhow_muw = rho_w/insideVolVars.viscosity(0);

        static const auto rhon_mun = rho_n/insideVolVars.viscosity(1);

        const auto rhowKrw_muw_inside = rho_w*insideVolVars.mobility(0);

        const auto rhonKrn_mun_inside = rho_n*insideVolVars.mobility(1);

        const auto rhowKrw_muw_outside = rho_w*outsideVolVars.mobility(0);

        const auto rhonKrn_mun_outside = rho_n*outsideVolVars.mobility(1);


        // let the Law for the advective fluxes calculate the transmissibilities

        const auto ti = AdvectionType::calculateTransmissibilities(problem,

                                                                   element,

                                                                   fvGeometry,

                                                                   curElemVolVars,

                                                                   scvf,

                                                                   elemFluxVarsCache[scvf]);


        // get the rows of the jacobian matrix for the inside/outside scv

        auto& dI_dJ_inside = A[insideScv.dofIndex()];

        auto& dI_dJ_outside = A[outsideScv.dofIndex()];


        // precalculate values

        const auto up_w = rhowKrw_muw_inside*insideWeight_w + rhowKrw_muw_outside*outsideWeight_w;

        const auto up_n = rhonKrn_mun_inside*insideWeight_n + rhonKrn_mun_outside*outsideWeight_n;

        const auto rho_mu_flux_w = rhow_muw*flux_w;

        const auto rho_mu_flux_n = rhon_mun*flux_n;


        // add the partial derivatives w.r.t all scvs in the element

        for (const auto& scvJ : scvs(fvGeometry))

        {

            const auto globalJ = scvJ.dofIndex();

            const auto localJ = scvJ.indexInElement();


            // the transmissibily associated with the scvJ

            const auto tj = ti[localJ];


            // partial derivative of the wetting phase flux w.r.t. p_w

            const auto tj_up_w = tj*up_w;

            dI_dJ_inside[globalJ][conti0EqIdx+0][pressureIdx] += tj_up_w;

            dI_dJ_outside[globalJ][conti0EqIdx+0][pressureIdx] -= tj_up_w;


            // partial derivative of the nonwetting phase flux w.r.t. p_w

            const auto tj_up_n = tj*up_n;

            dI_dJ_inside[globalJ][conti0EqIdx+1][pressureIdx] += tj_up_n;

            dI_dJ_outside[globalJ][conti0EqIdx+1][pressureIdx] -= tj_up_n;


            // partial derivatives w.r.t. S_n (are the negative of those w.r.t sw)

            // relative permeability contributions only for inside/outside

            if (localJ == insideScvIdx)

            {

                // partial derivative of the wetting phase flux w.r.t. S_n

                const auto insideSw = insideVolVars.saturation(0);

                const auto dKrw_dSn_inside = -1.0*insidefluidMatrixInteraction.dkrw_dsw(insideSw);

                const auto dFluxW_dSnJ = rho_mu_flux_w*dKrw_dSn_inside*insideWeight_w;

                dI_dJ_inside[globalJ][conti0EqIdx+0][saturationIdx] += dFluxW_dSnJ;

                dI_dJ_outside[globalJ][conti0EqIdx+0][saturationIdx] -= dFluxW_dSnJ;


                // partial derivative of the nonwetting phase flux w.r.t. S_n (k_rn contribution)

                const auto dKrn_dSn_inside = -1.0*insidefluidMatrixInteraction.dkrn_dsw(insideSw);

                const auto dFluxN_dSnJ_krn = rho_mu_flux_n*dKrn_dSn_inside*insideWeight_n;

                dI_dJ_inside[globalJ][conti0EqIdx+1][saturationIdx] += dFluxN_dSnJ_krn;

                dI_dJ_outside[globalJ][conti0EqIdx+1][saturationIdx] -= dFluxN_dSnJ_krn;


                // partial derivative of the nonwetting phase flux w.r.t. S_n (p_c contribution)

                const auto dFluxN_dSnJ_pc = -1.0*tj_up_n*insidefluidMatrixInteraction.dpc_dsw(insideSw);

                dI_dJ_inside[globalJ][conti0EqIdx+1][saturationIdx] += dFluxN_dSnJ_pc;

                dI_dJ_outside[globalJ][conti0EqIdx+1][saturationIdx] -= dFluxN_dSnJ_pc;

            }

            else if (localJ == outsideScvIdx)

            {

                // see comments for (globalJ == insideScvIdx)

                const auto outsideSw = outsideVolVars.saturation(0);

                const auto dKrw_dSn_outside = -1.0*outsidefluidMatrixInteraction.dkrw_dsw(outsideSw);

                const auto dFluxW_dSnJ = rho_mu_flux_w*dKrw_dSn_outside*outsideWeight_w;

                dI_dJ_inside[globalJ][conti0EqIdx+0][saturationIdx] += dFluxW_dSnJ;

                dI_dJ_outside[globalJ][conti0EqIdx+0][saturationIdx] -= dFluxW_dSnJ;


                const auto dKrn_dSn_outside = -1.0*outsidefluidMatrixInteraction.dkrn_dsw(outsideSw);

                const auto dFluxN_dSnJ_krn = rho_mu_flux_n*dKrn_dSn_outside*outsideWeight_n;

                dI_dJ_inside[globalJ][conti0EqIdx+1][saturationIdx] += dFluxN_dSnJ_krn;

                dI_dJ_outside[globalJ][conti0EqIdx+1][saturationIdx] -= dFluxN_dSnJ_krn;


                const auto dFluxN_dSnJ_pc = -1.0*tj_up_n*outsidefluidMatrixInteraction.dpc_dsw(outsideSw);

                dI_dJ_inside[globalJ][conti0EqIdx+1][saturationIdx] += dFluxN_dSnJ_pc;

                dI_dJ_outside[globalJ][conti0EqIdx+1][saturationIdx] -= dFluxN_dSnJ_pc;

            }

            else

            {

                const auto& fluidMatrixInteractionJ

                    = problem.spatialParams().fluidMatrixInteraction(element, scvJ, elemSol);


                const auto swJ = curElemVolVars[scvJ].saturation(0);

                const auto dFluxN_dSnJ_pc = tj_up_n*fluidMatrixInteractionJ.dpc_dsw(swJ);

                dI_dJ_inside[globalJ][conti0EqIdx+1][saturationIdx] -= dFluxN_dSnJ_pc;

                dI_dJ_outside[globalJ][conti0EqIdx+1][saturationIdx] += dFluxN_dSnJ_pc;

            }

        }

    }


    template<class PartialDerivativeMatrices>

    void addCCDirichletFluxDerivatives(PartialDerivativeMatrices& derivativeMatrices,

                                       const Problem& problem,

                                       const Element& element,

                                       const FVElementGeometry& fvGeometry,

                                       const ElementVolumeVariables& curElemVolVars,

                                       const ElementFluxVariablesCache& elemFluxVarsCache,

                                       const SubControlVolumeFace& scvf) const

    {

        using AdvectionType = GetPropType<TypeTag, Properties::AdvectionType>;


        // evaluate the current wetting phase Darcy flux and resulting upwind weights

        static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");

        const auto flux_w = AdvectionType::flux(problem, element, fvGeometry, curElemVolVars, scvf, 0, elemFluxVarsCache);

        const auto flux_n = AdvectionType::flux(problem, element, fvGeometry, curElemVolVars, scvf, 1, elemFluxVarsCache);

        const auto insideWeight_w = std::signbit(flux_w) ? (1.0 - upwindWeight) : upwindWeight;

        const auto outsideWeight_w = 1.0 - insideWeight_w;

        const auto insideWeight_n = std::signbit(flux_n) ? (1.0 - upwindWeight) : upwindWeight;

        const auto outsideWeight_n = 1.0 - insideWeight_n;


        // get references to the two participating vol vars & parameters

        const auto insideScvIdx = scvf.insideScvIdx();

        const auto& insideScv = fvGeometry.scv(insideScvIdx);

        const auto& insideVolVars = curElemVolVars[insideScvIdx];

        const auto& outsideVolVars = curElemVolVars[scvf.outsideScvIdx()];


        const auto insidefluidMatrixInteraction = problem.spatialParams().fluidMatrixInteraction(

            element, insideScv, elementSolution<FVElementGeometry>(insideVolVars.priVars())

        );


        // some quantities to be reused (rho & mu are constant and thus equal for all cells)

        static const auto rho_w = insideVolVars.density(0);

        static const auto rho_n = insideVolVars.density(1);

        static const auto rhow_muw = rho_w/insideVolVars.viscosity(0);

        static const auto rhon_mun = rho_n/insideVolVars.viscosity(1);

        const auto rhowKrw_muw_inside = rho_w*insideVolVars.mobility(0);

        const auto rhonKrn_mun_inside = rho_n*insideVolVars.mobility(1);

        const auto rhowKrw_muw_outside = rho_w*outsideVolVars.mobility(0);

        const auto rhonKrn_mun_outside = rho_n*outsideVolVars.mobility(1);


        // get reference to the inside derivative matrix

        auto& dI_dI = derivativeMatrices[insideScvIdx];


        // derivative w.r.t. to Sn is the negative of the one w.r.t. Sw

        const auto insideSw = insideVolVars.saturation(0);

        const auto dKrw_dSn_inside = -1.0*insidefluidMatrixInteraction.dkrw_dsw(insideSw);

        const auto dKrn_dSn_inside = -1.0*insidefluidMatrixInteraction.dkrn_dsw(insideSw);

        const auto dpc_dSn_inside = -1.0*insidefluidMatrixInteraction.dpc_dsw(insideSw);


        const auto tij = elemFluxVarsCache[scvf].advectionTij();

        // partial derivative of the wetting phase flux w.r.t. p_w

        const auto up_w = rhowKrw_muw_inside*insideWeight_w + rhowKrw_muw_outside*outsideWeight_w;

        dI_dI[conti0EqIdx+0][pressureIdx] += tij*up_w;


        // partial derivative of the wetting phase flux w.r.t. S_n

        dI_dI[conti0EqIdx+0][saturationIdx] += rhow_muw*flux_w*dKrw_dSn_inside*insideWeight_w;


        // partial derivative of the nonwetting phase flux w.r.t. p_w

        const auto up_n = rhonKrn_mun_inside*insideWeight_n + rhonKrn_mun_outside*outsideWeight_n;

        dI_dI[conti0EqIdx+1][pressureIdx] += tij*up_n;


        // partial derivative of the nonwetting phase flux w.r.t. S_n (relative permeability derivative contribution)

        dI_dI[conti0EqIdx+1][saturationIdx] += rhon_mun*flux_n*dKrn_dSn_inside*insideWeight_n;


        // partial derivative of the nonwetting phase flux w.r.t. S_n (capillary pressure derivative contribution)

        dI_dI[conti0EqIdx+1][saturationIdx] += tij*dpc_dSn_inside*up_n;

    }


    template<class PartialDerivativeMatrices>

    void addRobinFluxDerivatives(PartialDerivativeMatrices& derivativeMatrices,

                                 const Problem& problem,

                                 const Element& element,

                                 const FVElementGeometry& fvGeometry,

                                 const ElementVolumeVariables& curElemVolVars,

                                 const ElementFluxVariablesCache& elemFluxVarsCache,

                                 const SubControlVolumeFace& scvf) const

    { /* TODO maybe forward to problem for the user to implement the Robin derivatives?*/ }

};


} // end namespace Dumux


#endif

parameters.hh
The infrastructure to retrieve run-time parameters from Dune::ParameterTrees.

method.hh
The available discretization methods in Dumux.

elementsolution.hh
Element solution classes and factory functions.

extrusion.hh
Helper classes to compute the integration elements.

formulation.hh
Defines an enumeration for the formulations accepted by the two-phase model.

Dumux::TwoPFormulation::p0s1
@ p0s1
first phase pressure and second phase saturation as primary variables

Dumux::elementSolution
auto elementSolution(const Element &element, const SolutionVector &sol, const GridGeometry &gg) -> std::enable_if_t< GridGeometry::discMethod==DiscretizationMethods::box, BoxElementSolution< typename GridGeometry::LocalView, std::decay_t< decltype(std::declval< SolutionVector >()[0])> > >
Make an element solution for box schemes.
Definition: box/elementsolution.hh:118

Dumux
Definition: adapt.hh:29

Dumux::Extrusion_t
typename Extrusion< T >::type Extrusion_t
Convenience alias for obtaining the extrusion type.
Definition: extrusion.hh:177

Dumux::GetPropType
typename Properties::Detail::GetPropImpl< TypeTag, Property >::type::type GetPropType
get the type alias defined in the property
Definition: propertysystem.hh:150

Dumux::DiscretizationMethods::cctpfa
constexpr CCTpfa cctpfa
Definition: method.hh:137

Dumux::DiscretizationMethods::box
constexpr Box box
Definition: method.hh:139

Dumux::PoreNetwork::Pore::volume
Scalar volume(Shape shape, Scalar inscribedRadius)
Returns the volume of a given geometry based on the inscribed radius.
Definition: poreproperties.hh:73

Dumux::TwoPIncompressibleLocalResidual
Element-wise calculation of the residual and its derivatives for a two-phase, incompressible test pro...
Definition: 2p/incompressiblelocalresidual.hh:50

Dumux::TwoPIncompressibleLocalResidual::addFluxDerivatives
std::enable_if_t< GetPropType< T, Properties::GridGeometry >::discMethod==DiscretizationMethods::cctpfa, void > addFluxDerivatives(PartialDerivativeMatrices &derivativeMatrices, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
Adds flux derivatives for wetting and nonwetting phase for cell-centered FVM using TPFA.
Definition: 2p/incompressiblelocalresidual.hh:151

Dumux::TwoPIncompressibleLocalResidual::addStorageDerivatives
void addStorageDerivatives(PartialDerivativeMatrix &partialDerivatives, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const VolumeVariables &curVolVars, const SubControlVolume &scv) const
Adds storage derivatives for wetting and nonwetting phase.
Definition: 2p/incompressiblelocalresidual.hh:92

Dumux::TwoPIncompressibleLocalResidual::addRobinFluxDerivatives
void addRobinFluxDerivatives(PartialDerivativeMatrices &derivativeMatrices, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
Adds Robin flux derivatives for wetting and nonwetting phase.
Definition: 2p/incompressiblelocalresidual.hh:511

Dumux::TwoPIncompressibleLocalResidual::addSourceDerivatives
void addSourceDerivatives(PartialDerivativeMatrix &partialDerivatives, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const VolumeVariables &curVolVars, const SubControlVolume &scv) const
Adds source derivatives for wetting and nonwetting phase.
Definition: 2p/incompressiblelocalresidual.hh:127

Dumux::TwoPIncompressibleLocalResidual::addFluxDerivatives
std::enable_if_t< GetPropType< T, Properties::GridGeometry >::discMethod==DiscretizationMethods::box, void > addFluxDerivatives(JacobianMatrix &A, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
Adds flux derivatives for wetting and nonwetting phase for box method.
Definition: 2p/incompressiblelocalresidual.hh:270

Dumux::TwoPIncompressibleLocalResidual::addCCDirichletFluxDerivatives
void addCCDirichletFluxDerivatives(PartialDerivativeMatrices &derivativeMatrices, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
Adds cell-centered Dirichlet flux derivatives for wetting and nonwetting phase.
Definition: 2p/incompressiblelocalresidual.hh:432

Dumux::ImmiscibleLocalResidual
Element-wise calculation of the residual for problems using the n-phase immiscible fully implicit mod...
Definition: porousmediumflow/immiscible/localresidual.hh:40

properties.hh
Declares all properties used in Dumux.

localresidual.hh
Element-wise calculation of the residual for problems using the n-phase immiscible fully implicit mod...