test/porousmediumflow/3p/implicit/infiltration/problem.hh

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#ifndef DUMUX_INFILTRATION_THREEP_PROBLEM_HH
#define DUMUX_INFILTRATION_THREEP_PROBLEM_HH
 
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/box.hh>
#include <dumux/discretization/method.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/3p/model.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
#include <dumux/material/fluidsystems/1pgas.hh>
#include <dumux/material/fluidsystems/3pimmiscible.hh>
#include <dumux/material/components/tabulatedcomponent.hh>
#include <dumux/material/components/air.hh>
#include <dumux/material/components/mesitylene.hh>
#include <dumux/material/components/h2o.hh>
 
#include "spatialparams.hh"
 
namespace Dumux
{
 
template <class TypeTag>
class InfiltrationThreePProblem;
 
namespace Properties
{
// Create new type tags
namespace TTag {
struct InfiltrationThreeP { using InheritsFrom = std::tuple<ThreeP>; };
struct InfiltrationThreePBox { using InheritsFrom = std::tuple<InfiltrationThreeP, BoxModel>; };
struct InfiltrationThreePCCTpfa { using InheritsFrom = std::tuple<InfiltrationThreeP, CCTpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::InfiltrationThreeP> { using type = Dune::YaspGrid<2>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::InfiltrationThreeP> { using type = InfiltrationThreePProblem<TypeTag>; };
 
// Set the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::InfiltrationThreeP>
{
private:
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Water = Components::TabulatedComponent<Components::H2O<Scalar>>;
    using WettingFluid = FluidSystems::OnePLiquid<Scalar, Water>;
    using NonwettingFluid = FluidSystems::OnePLiquid<Scalar, Components::Mesitylene<Scalar>>;
    using Gas = FluidSystems::OnePGas<Scalar, Components::Air<Scalar>>;
public:
    using type = FluidSystems::ThreePImmiscible<Scalar, WettingFluid, NonwettingFluid, Gas>;
};
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::InfiltrationThreeP>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = InfiltrationThreePSpatialParams<GridGeometry, Scalar>;
};
 
}// end namespace Properties

template <class TypeTag >
class InfiltrationThreePProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
    enum {
        pressureIdx = Indices::pressureIdx,
        swIdx = Indices::swIdx,
        snIdx = Indices::snIdx,
 
        // world dimension
        dimWorld = GridView::dimensionworld
    };
 
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
 
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
public:
    InfiltrationThreePProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        temperature_ = 273.15 + 10.0; // -> 10 degrees Celsius
        FluidSystem::init(282.15, 284.15, 3, 8e4, 3e5, 200);
 
        name_ = getParam<std::string>("Problem.Name");
 
        this->spatialParams().plotMaterialLaw();
        time_ = 0.0;
    }

    // \{
    void setTime(Scalar time)
    { time_ = time; }

    const std::string& name() const
    { return name_; }

    Scalar temperatureAtPos(const GlobalPosition &globalPos) const
    {
        return temperature_;
    }
 
    // \}

    // \{

    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
 
        if(globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_
           || globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_)
            values.setAllDirichlet();
        else
            values.setAllNeumann();
 
        return values;
    }

    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values(0.0);
        initial_(values, globalPos);
        return values;
    }

    NumEqVector neumannAtPos(const GlobalPosition &globalPos) const
    {
        NumEqVector values(0.0);
 
        // negative values for injection
        if (time_ < 2592000.0 - eps_)
        {
            if ((globalPos[0] < 175.0 + eps_) && (globalPos[0] > 155.0 - eps_)
                 && (globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_))
            {
                // mol fluxes, convert with M(Mesit.)=0,120 kg/mol --> 1.2e-4  kg/(sm)
                values[Indices::conti0EqIdx + FluidSystem::nCompIdx] = -0.001;
            }
        }
 
        return values;
    }
 
    // \}

    // \{

    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values(0.0);
        initial_(values, globalPos);
        return values;
    }

    Scalar temperature() const
    { return temperature_; }
 
 
 
private:
    // internal method for the initial condition (reused for the
    // dirichlet conditions!)
    void initial_(PrimaryVariables &values,
                  const GlobalPosition &globalPos) const
    {
        Scalar y = globalPos[1];
        Scalar x = globalPos[0];
        Scalar sw, swr=0.12, sgr=0.03;
 
        if(y > (-1.E-3*x+5) - eps_)
        {
            Scalar pc = 9.81 * 1000.0 * (y - (-5E-4*x+5));
            if (pc < 0.0) pc = 0.0;
 
            sw = invertPcgw_(pc,
                             this->spatialParams().materialLawParamsAtPos(globalPos));
            if (sw < swr) sw = swr;
            if (sw > 1.-sgr) sw = 1.-sgr;
 
            values[pressureIdx] = 1e5 ;
            values[swIdx] = sw;
            values[snIdx] = 0.;
        }else {
            values[pressureIdx] = 1e5 + 9.81 * 1000.0 * ((-5E-4*x+5) - y);
            values[swIdx] = 1.-sgr;
            values[snIdx] = 0.;
        }
    }
 
    // small solver inverting the pc curve
    template<class MaterialLawParams>
    static Scalar invertPcgw_(Scalar pcIn, const MaterialLawParams &pcParams)
    {
        using MaterialLaw = typename ParentType::SpatialParams::MaterialLaw;
        Scalar lower,upper;
        int k;
        int maxIt = 50;
        Scalar bisLimit = 1.;
        Scalar sw, pcgw;
        lower=0.0; upper=1.0;
        for (k=1; k<=25; k++)
        {
            sw = 0.5*(upper+lower);
            pcgw = MaterialLaw::pcgw(pcParams, sw);
            Scalar delta = pcgw-pcIn;
            if (delta<0.) delta*=-1.;
            if (delta<bisLimit)
            {
                return(sw);
            }
            if (k==maxIt) {
                return(sw);
            }
            if (pcgw>pcIn) lower=sw;
            else upper=sw;
        }
        return(sw);
    }
 
    Scalar temperature_;
    static constexpr Scalar eps_ = 1e-6;
    std::string name_;
    Scalar time_;
};
 
} // end namespace Dumux
 
#endif