test/porousmediumflow/richardsnc/implicit/problem.hh

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#ifndef DUMUX_RICHARDS_NC_WELL_TRACER_PROBLEM_HH
#define DUMUX_RICHARDS_NC_WELL_TRACER_PROBLEM_HH
 
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/box.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/richardsnc/model.hh>
 
#include "spatialparams.hh"
 
namespace Dumux {
 
template <class TypeTag>
class RichardsWellTracerProblem;
 
 
// Specify the properties for the lens problem
namespace Properties {
// Create new type tags
namespace TTag {
struct RichardsWellTracer { using InheritsFrom = std::tuple<RichardsNC>; };
struct RichardsWellTracerBox { using InheritsFrom = std::tuple<RichardsWellTracer, BoxModel>; };
struct RichardsWellTracerCC { using InheritsFrom = std::tuple<RichardsWellTracer, CCTpfaModel>; };
} // end namespace TTag
 
// Use 2d YaspGrid
template<class TypeTag>
struct Grid<TypeTag, TTag::RichardsWellTracer> { using type = Dune::YaspGrid<2>; };
 
// Set the physical problem to be solved
template<class TypeTag>
struct Problem<TypeTag, TTag::RichardsWellTracer> { using type = RichardsWellTracerProblem<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::RichardsWellTracer>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = RichardsWellTracerSpatialParams<GridGeometry, Scalar>;
};
 
// Set the physical problem to be solved
template<class TypeTag>
struct PointSource<TypeTag, TTag::RichardsWellTracer> { using type = SolDependentPointSource<TypeTag>; };
} // end namespace Properties
 
template <class TypeTag>
class RichardsWellTracerProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using PointSource = GetPropType<TypeTag, Properties::PointSource>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    enum {
        pressureIdx = Indices::pressureIdx,
        compIdx = Indices::compMainIdx + 1,
        liquidPhaseIdx = FluidSystem::liquidPhaseIdx,
        dimWorld = GridView::dimensionworld
    };
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename SubControlVolume::GlobalPosition;
 
public:
    RichardsWellTracerProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        name_ = getParam<std::string>("Problem.Name");
        contaminantMoleFraction_ = getParam<Scalar>("Problem.ContaminantMoleFraction");
        pumpRate_ = getParam<Scalar>("Problem.PumpRate"); // in kg/s
 
        // for initial conditions
        const Scalar sw = 0.4; // start with 80% saturation on top
        using MaterialLaw = typename ParentType::SpatialParams::MaterialLaw;
        pcTop_ = MaterialLaw::pc(this->spatialParams().materialLawParamsAtPos(this->gridGeometry().bBoxMax()), sw);
 
        // for post time step mass balance
        accumulatedSource_ = 0.0;
    }
 
    void printTracerMass(const SolutionVector& curSol,
                         const GridVariables& gridVariables,
                         const Scalar timeStepSize)
 
    {
        // compute the mass in the entire domain to make sure the tracer is conserved
        Scalar tracerMass = 0.0;
 
        // bulk elements
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            auto elemVolVars = localView(gridVariables.curGridVolVars());
            elemVolVars.bindElement(element, fvGeometry, curSol);
 
            for (auto&& scv : scvs(fvGeometry))
            {
                const auto& volVars = elemVolVars[scv];
                tracerMass += volVars.massFraction(liquidPhaseIdx, compIdx)*volVars.density(liquidPhaseIdx)
                              * scv.volume() * volVars.saturation(liquidPhaseIdx) * volVars.porosity() * volVars.extrusionFactor();
 
                accumulatedSource_ += this->scvPointSources(element, fvGeometry, elemVolVars, scv)[compIdx]
                                       * scv.volume() * volVars.extrusionFactor()
                                       * FluidSystem::molarMass(compIdx)
                                       * timeStepSize;
            }
        }
 
        std::cout << "\033[1;33m" << "The domain contains " << tracerMass*1e9 << " µg tracer, "
                  <<  accumulatedSource_*1e9 << " µg ("<< int(std::round(-accumulatedSource_/(tracerMass - accumulatedSource_)*100))
                  <<"%) was already extracted (balanced: "
                  <<  (tracerMass - accumulatedSource_)*1e9 << " µg)\033[0m" << '\n';
 
    }
 
    // \{
 
    const std::string& name() const
    { return name_; }
 
    Scalar temperature() const
    { return 273.15 + 10; }; // -> 10°C
 
    Scalar nonWettingReferencePressure() const
    { return 1.0e5; };
 
    // \}
 
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes bcTypes;
        if (onLeftBoundary_(globalPos) || onRightBoundary_(globalPos))
            bcTypes.setAllDirichlet();
        else
            bcTypes.setAllNeumann();
        return bcTypes;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    { return initial_(globalPos); }
 
    NumEqVector neumannAtPos(const GlobalPosition &globalPos) const
    { return NumEqVector(0.0); }
 
    // \{
 
    void addPointSources(std::vector<PointSource>& pointSources) const
    {
        auto globalPos = this->gridGeometry().bBoxMax()-this->gridGeometry().bBoxMin();
        globalPos *= 0.5;
        pointSources.emplace_back(globalPos,
             [this](const Problem &problem,
                    const Element &element,
                    const FVElementGeometry &fvGeometry,
                    const ElementVolumeVariables &elemVolVars,
                    const SubControlVolume &scv)
                    {
                        const auto& volVars = elemVolVars[scv];
                        const Scalar value = pumpRate_*volVars.molarDensity(liquidPhaseIdx)/volVars.density(liquidPhaseIdx)*volVars.saturation(liquidPhaseIdx);
                        return PrimaryVariables({-value, -value*volVars.moleFraction(liquidPhaseIdx, compIdx)});
                    });
    }
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    { return initial_(globalPos); };
 
    // \}
 
private:
    PrimaryVariables initial_(const GlobalPosition &globalPos) const
    {
        const auto xTracer = [&,this]()
        {
            const GlobalPosition contaminationPos({0.2*this->gridGeometry().bBoxMax()[0], 0.5*this->gridGeometry().bBoxMax()[1]});
            if ((globalPos - contaminationPos).two_norm() < 0.1*(this->gridGeometry().bBoxMax()-this->gridGeometry().bBoxMin()).two_norm() + eps_)
                return contaminantMoleFraction_;
            else
                return 0.0;
        }();
 
        PrimaryVariables values(0.0);
        values[pressureIdx] = (nonWettingReferencePressure() - pcTop_)
                               - 9.81*1000*(globalPos[dimWorld-1] - this->gridGeometry().bBoxMax()[dimWorld-1]);
        values[compIdx] = xTracer;
        return values;
    }
 
    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_;
    }
 
    static constexpr Scalar eps_ = 1.5e-7;
    std::string name_;
    Scalar contaminantMoleFraction_;
    Scalar pumpRate_;
    Scalar pcTop_;
    Scalar accumulatedSource_;
};
 
} // end namespace Dumux
 
#endif