1p2c_2p2c/problem_stokes.hh

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#ifndef DUMUX_STOKES1P2C_SUBPROBLEM_HH
#define DUMUX_STOKES1P2C_SUBPROBLEM_HH
 
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/material/fluidsystems/1padapter.hh>
#include <dumux/material/fluidsystems/h2oair.hh>
 
#include <dumux/freeflow/navierstokes/problem.hh>
#include <dumux/discretization/staggered/freeflow/properties.hh>
#include <dumux/freeflow/compositional/navierstokesncmodel.hh>
#include <dumux/multidomain/boundary/stokesdarcy/couplingdata.hh>
 
namespace Dumux {
template <class TypeTag>
class StokesSubProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
#if !NONISOTHERMAL
struct StokesOnePTwoC { using InheritsFrom = std::tuple<NavierStokesNC, StaggeredFreeFlowModel>; };
#else
struct StokesOnePTwoC { using InheritsFrom = std::tuple<NavierStokesNCNI, StaggeredFreeFlowModel>; };
#endif
} // end namespace TTag
 
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::StokesOnePTwoC> { using type = Dune::YaspGrid<2, Dune::TensorProductCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
 
// The fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::StokesOnePTwoC>
{
  using H2OAir = FluidSystems::H2OAir<GetPropType<TypeTag, Properties::Scalar>>;
  static constexpr auto phaseIdx = H2OAir::gasPhaseIdx; // simulate the water phase
  using type = FluidSystems::OnePAdapter<H2OAir, phaseIdx>;
};
 
template<class TypeTag>
struct ReplaceCompEqIdx<TypeTag, TTag::StokesOnePTwoC> { static constexpr int value = 3; };
 
// Use formulation based on mass fractions
template<class TypeTag>
struct UseMoles<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::StokesOnePTwoC> { using type = Dumux::StokesSubProblem<TypeTag> ; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
} // end namespace Properties
 
template <class TypeTag>
class StokesSubProblem : public NavierStokesProblem<TypeTag>
{
    using ParentType = NavierStokesProblem<TypeTag>;
 
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
 
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using Element = typename GridView::template Codim<0>::Entity;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
    using ElementFaceVariables = typename GetPropType<TypeTag, Properties::GridFaceVariables>::LocalView;
    using FluidState = GetPropType<TypeTag, Properties::FluidState>;
 
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
    using TimeLoopPtr = std::shared_ptr<TimeLoop<Scalar>>;
 
    using DiffusionCoefficientAveragingType = typename StokesDarcyCouplingOptions::DiffusionCoefficientAveragingType;
 
    static constexpr bool useMoles = GetPropType<TypeTag, Properties::ModelTraits>::useMoles();
 
public:
    StokesSubProblem(std::shared_ptr<const GridGeometry> gridGeometry, std::shared_ptr<CouplingManager> couplingManager)
    : ParentType(gridGeometry, "Stokes"), eps_(1e-6), couplingManager_(couplingManager)
    {
        refVelocity_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.RefVelocity");
        refPressure_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.RefPressure");
        refMoleFrac_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.refMoleFrac");
        refTemperature_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.RefTemperature");
 
        diffCoeffAvgType_ = StokesDarcyCouplingOptions::stringToEnum(DiffusionCoefficientAveragingType{},
                                                                     getParamFromGroup<std::string>(this->paramGroup(), "Problem.InterfaceDiffusionCoefficientAvg"));
        problemName_  =  getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
    }
 
    const std::string& name() const
    {
        return problemName_;
    }
 
    // \{
 
    Scalar temperature() const
    { return refTemperature_; }
 
    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
    { return NumEqVector(0.0); }
 
    // \}
    // \{
 
    BoundaryTypes boundaryTypes(const Element& element,
                                const SubControlVolumeFace& scvf) const
    {
        BoundaryTypes values;
 
        const auto& globalPos = scvf.center();
 
#if NONISOTHERMAL
            values.setNeumann(Indices::energyEqIdx);
#endif
 
        if (onUpperBoundary_(globalPos) || onLeftBoundary_(globalPos))
        {
            values.setDirichlet(Indices::velocityXIdx);
            values.setDirichlet(Indices::velocityYIdx);
            values.setNeumann(Indices::conti0EqIdx);
            values.setNeumann(Indices::conti0EqIdx + 1);
        }
 
        if (onRightBoundary_(globalPos))
        {
            values.setDirichlet(Indices::pressureIdx);
            values.setOutflow(Indices::conti0EqIdx + 1);
 
#if NONISOTHERMAL
            values.setOutflow(Indices::energyEqIdx);
#endif
        }
 
        if (couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf))
        {
            values.setCouplingNeumann(Indices::conti0EqIdx);
            values.setCouplingNeumann(Indices::conti0EqIdx + 1);
            values.setCouplingNeumann(Indices::momentumYBalanceIdx);
            values.setBJS(Indices::momentumXBalanceIdx);
        }
        return values;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition& pos) const
    {
        PrimaryVariables values(0.0);
        values = initialAtPos(pos);
 
        return values;
    }
 
    NumEqVector neumann(const Element& element,
                        const FVElementGeometry& fvGeometry,
                        const ElementVolumeVariables& elemVolVars,
                        const ElementFaceVariables& elemFaceVars,
                        const SubControlVolumeFace& scvf) const
    {
        PrimaryVariables values(0.0);
        const auto& globalPos = scvf.dofPosition();
        const auto& scv = fvGeometry.scv(scvf.insideScvIdx());
 
        FluidState fluidState;
        updateFluidStateForBC_(fluidState, elemVolVars[scv].pressure());
 
        const Scalar density = useMoles ? fluidState.molarDensity(0) : fluidState.density(0);
        const Scalar xVelocity = xVelocity_(globalPos);
 
        if (onLeftBoundary_(globalPos))
        {
            // rho*v*X at inflow
            values[Indices::conti0EqIdx + 1] = -xVelocity * density * refMoleFrac();
            values[Indices::conti0EqIdx] = -xVelocity * density * (1.0 - refMoleFrac());
 
#if NONISOTHERMAL
            values[Indices::energyEqIdx] = -xVelocity * fluidState.density(0) * fluidState.enthalpy(0);
#endif
        }
 
        if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf))
        {
            values[Indices::momentumYBalanceIdx] = couplingManager().couplingData().momentumCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf);
 
            const auto massFlux = couplingManager().couplingData().massCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf, diffCoeffAvgType_);
            values[Indices::conti0EqIdx] = massFlux[0];
            values[Indices::conti0EqIdx + 1] = massFlux[1];
 
#if NONISOTHERMAL
            values[Indices::energyEqIdx] = couplingManager().couplingData().energyCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf, diffCoeffAvgType_);
#endif
 
        }
        return values;
    }
 
    // \}
 
    const CouplingManager& couplingManager() const
    { return *couplingManager_; }
 
    // \{
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        FluidState fluidState;
        updateFluidStateForBC_(fluidState, refPressure());
 
        const Scalar density = FluidSystem::density(fluidState, 0);
 
        PrimaryVariables values(0.0);
        values[Indices::pressureIdx] = refPressure() + density*this->gravity()[1]*(globalPos[1] - this->gridGeometry().bBoxMin()[1]);
        values[Indices::conti0EqIdx + 1] = refMoleFrac();
        values[Indices::velocityXIdx] = xVelocity_(globalPos);
 
#if NONISOTHERMAL
        values[Indices::temperatureIdx] = refTemperature();
#endif
 
        return values;
    }
 
    const Scalar refVelocity() const
    { return refVelocity_ ;}
 
    const Scalar refPressure() const
    { return refPressure_; }
 
    const Scalar refMoleFrac() const
    { return refMoleFrac_; }
 
    const Scalar refTemperature() const
    { return refTemperature_; }
 
 
    void setTimeLoop(TimeLoopPtr timeLoop)
    { timeLoop_ = timeLoop; }
 
    Scalar time() const
    { return timeLoop_->time(); }
 
    Scalar permeability(const Element& element, const SubControlVolumeFace& scvf) const
    {
        return couplingManager().couplingData().darcyPermeability(element, scvf);
    }
 
    Scalar alphaBJ(const SubControlVolumeFace& scvf) const
    {
        return couplingManager().problem(CouplingManager::darcyIdx).spatialParams().beaversJosephCoeffAtPos(scvf.center());
    }
 
    // \}
 
private:
    bool onLeftBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; }
 
    bool onRightBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; }
 
    bool onLowerBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[1] < this->gridGeometry().bBoxMin()[1] + eps_; }
 
    bool onUpperBoundary_(const GlobalPosition &globalPos) const
    { return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; }
 
    void updateFluidStateForBC_(FluidState& fluidState, const Scalar pressure) const
    {
        fluidState.setTemperature(refTemperature());
        fluidState.setPressure(0, pressure);
        fluidState.setSaturation(0, 1.0);
        fluidState.setMoleFraction(0, 1, refMoleFrac());
        fluidState.setMoleFraction(0, 0, 1.0 - refMoleFrac());
 
        typename FluidSystem::ParameterCache paramCache;
        paramCache.updatePhase(fluidState, 0);
 
        const Scalar density = FluidSystem::density(fluidState, paramCache, 0);
        fluidState.setDensity(0, density);
 
        const Scalar molarDensity = FluidSystem::molarDensity(fluidState, paramCache, 0);
        fluidState.setMolarDensity(0, molarDensity);
 
        const Scalar enthalpy = FluidSystem::enthalpy(fluidState, paramCache, 0);
        fluidState.setEnthalpy(0, enthalpy);
    }
 
    const Scalar xVelocity_(const GlobalPosition &globalPos) const
    {
        const Scalar vmax = refVelocity();
        return  4 * vmax * (globalPos[1] - this->gridGeometry().bBoxMin()[1]) * (this->gridGeometry().bBoxMax()[1] - globalPos[1])
                / (height_() * height_());
    }
 
    // the height of the free-flow domain
    const Scalar height_() const
    { return this->gridGeometry().bBoxMax()[1] - this->gridGeometry().bBoxMin()[1]; }
 
    Scalar eps_;
 
    Scalar refVelocity_;
    Scalar refPressure_;
    Scalar refMoleFrac_;
    Scalar refTemperature_;
    std::string problemName_;
    TimeLoopPtr timeLoop_;
 
    std::shared_ptr<CouplingManager> couplingManager_;
 
    DiffusionCoefficientAveragingType diffCoeffAvgType_;
};
} // end namespace Dumux
 
#endif // DUMUX_STOKES1P2C_SUBPROBLEM_HH