problem_fracture.hh

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#ifndef DUMUX_FRACTURE_PROBLEM_HH
#define DUMUX_FRACTURE_PROBLEM_HH
 
#include <dune/foamgrid/foamgrid.hh>
 
#include <dumux/common/parameters.hh>
#include <dumux/common/properties.hh>
#include <dumux/discretization/cctpfa.hh>
 
#include <dumux/porousmediumflow/1p/model.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/1p/incompressiblelocalresidual.hh>
 
#include <dumux/material/components/constant.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
 
#include "spatialparams.hh"
 
namespace Dumux {
// forward declaration
template <class TypeTag> class FractureProblem;
 
namespace Properties {
 
// Create new type tags
namespace TTag {
struct Fracture { using InheritsFrom = std::tuple<OneP, CCTpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::Fracture> { using type = Dune::FoamGrid<2, 3>; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::Fracture> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::Fracture> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::Fracture> { static constexpr bool value = true; };
template<class TypeTag>
struct SolutionDependentAdvection<TypeTag, TTag::Fracture> { static constexpr bool value = false; };
template<class TypeTag>
struct SolutionDependentMolecularDiffusion<TypeTag, TTag::Fracture> { static constexpr bool value = false; };
template<class TypeTag>
struct SolutionDependentHeatConduction<TypeTag, TTag::Fracture> { static constexpr bool value = false; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::Fracture> { using type = FractureProblem<TypeTag>; };
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::Fracture>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
};
 
// Set the problem property
template<class TypeTag>
struct LocalResidual<TypeTag, TTag::Fracture> { using type = OnePIncompressibleLocalResidual<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::Fracture>
{
    using type = MatrixFractureSpatialParams<GetPropType<TypeTag, Properties::GridGeometry>,
                                             GetPropType<TypeTag, Properties::Scalar>>;
};
} // end namespace Properties
 
template <class TypeTag>
class FractureProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using PointSource = GetPropType<TypeTag, Properties::PointSource>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using GridView = typename GridGeometry::GridView;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolume = typename GridGeometry::SubControlVolume;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
 
public:
    FractureProblem(std::shared_ptr<const GridGeometry> gridGeometry,
                    std::shared_ptr<typename ParentType::SpatialParams> spatialParams,
                    std::shared_ptr<CouplingManager> couplingManager,
                    const std::string& paramGroup = "Fracture")
    : ParentType(gridGeometry, spatialParams, paramGroup)
    , couplingManager_(couplingManager)
    {
        // read parameters from input file
        name_  =  getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
    }
 
    template<class ElementSolution>
    Scalar extrusionFactor(const Element &element,
                           const SubControlVolume &scv,
                           const ElementSolution& elemSol) const
    {
        static const Scalar aperture = getParamFromGroup<Scalar>("Fracture", "SpatialParams.Aperture");
        return aperture;
    }
 
    // \{
 
    const std::string& name() const
    { return name_; }
 
    Scalar temperature() const
    { return 273.15 + 37.0; } // Body temperature
 
    // \}
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
        values.setAllNeumann();
        if (globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_)
            values.setAllDirichlet();
        else if (globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_)
            values.setAllDirichlet();
        return values;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
    {
        if (globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_)
            return PrimaryVariables(2e5);
        else // (globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_)
            return PrimaryVariables(1e5);
    }
 
    // \}
 
    // \{
 
    void addPointSources(std::vector<PointSource>& pointSources) const
    { pointSources = this->couplingManager().lowDimPointSources(); }
 
    template<class ElementVolumeVariables>
    void pointSource(PointSource& source,
                     const Element &element,
                     const FVElementGeometry& fvGeometry,
                     const ElementVolumeVariables& elemVolVars,
                     const SubControlVolume &scv) const
    {
        // compute source at every integration point
        const Scalar pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
 
        // calculate the source
        const Scalar meanDistance = this->couplingManager().averageDistance(source.id());
        static const Scalar matrixPerm = getParamFromGroup<Scalar>("Matrix", "SpatialParams.Permeability");
        static const Scalar rho = getParam<Scalar>("Component.LiquidDensity");
        static const Scalar mu = getParam<Scalar>("Component.LiquidKinematicViscosity")*rho;
        const Scalar sourceValue = rho*(pressure3D - pressure1D)/meanDistance*matrixPerm/mu;
        source = sourceValue*source.quadratureWeight()*source.integrationElement();
    }
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    { return PrimaryVariables(1e5); }
 
    // \}
 
    void computeSourceIntegral(const SolutionVector& sol, const GridVariables& gridVars)
    {
        NumEqVector source(0.0);
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            auto elemVolVars = localView(gridVars.curGridVolVars());
            elemVolVars.bindElement(element, fvGeometry, sol);
 
            for (auto&& scv : scvs(fvGeometry))
            {
                auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
                pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
                source += pointSources;
            }
        }
 
        std::cout << "Global integrated source (1D): " << source << '\n';
    }
 
    const CouplingManager& couplingManager() const
    { return *couplingManager_; }
 
private:
 
    static constexpr Scalar eps_ = 1.5e-7;
    std::string name_;
 
    std::shared_ptr<CouplingManager> couplingManager_;
};
 
} // end namespace Dumux
 
#endif