test/porousmediumflow/1p/implicit/network1d3d/problem.hh

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#ifndef DUMUX_ONEP_TUBES_TEST_PROBLEM_HH
#define DUMUX_ONEP_TUBES_TEST_PROBLEM_HH
 
#include <dune/localfunctions/lagrange/pqkfactory.hh>
#include <dune/geometry/quadraturerules.hh>
 
#if HAVE_DUNE_FOAMGRID
#include <dune/foamgrid/foamgrid.hh>
#endif
 
#include <dumux/common/reorderingdofmapper.hh>
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/box.hh>
#include <dumux/discretization/method.hh>
#include <dumux/discretization/elementsolution.hh>
#include <dumux/porousmediumflow/1p/model.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/material/components/constant.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
 
#include "spatialparams.hh"
 
namespace Dumux {
 
template <class TypeTag>
class TubesTestProblem;
 
namespace Properties {
 
// Create new type tags
namespace TTag {
struct TubesTest { using InheritsFrom = std::tuple<OneP>; };
struct TubesTestCCTpfa { using InheritsFrom = std::tuple<TubesTest, CCTpfaModel>; };
struct TubesTestBox { using InheritsFrom = std::tuple<TubesTest, BoxModel>; };
} // end namespace TTag
 
// Set the grid type
#if HAVE_DUNE_FOAMGRID
template<class TypeTag>
struct Grid<TypeTag, TTag::TubesTest> { using type = Dune::FoamGrid<1, 3>; };
#endif
 
// Dumux 3.1 changes the property `FVGridGeometry` to `GridGeometry`.
// For ensuring backward compatibility on the user side, it is necessary to
// stick to the old name for the specializations, see the discussion in MR 1647.
// Use diagnostic pragmas to prevent the emission of a warning message.
// TODO after 3.1: Rename to GridGeometry, remove the pragmas and this comment.
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
// if we have pt scotch use the reordering dof mapper to optimally sort the dofs (cc)
template<class TypeTag>
struct FVGridGeometry<TypeTag, TTag::TubesTestCCTpfa>
{
private:
    static constexpr bool enableCache = getPropValue<TypeTag, Properties::EnableGridGeometryCache>();
    using GridView = GetPropType<TypeTag, Properties::GridView>;
 
    using ElementMapper = ReorderingDofMapper<GridView>;
    using VertexMapper = Dune::MultipleCodimMultipleGeomTypeMapper<GridView>;
    using MapperTraits = DefaultMapperTraits<GridView, ElementMapper, VertexMapper>;
public:
    using type = CCTpfaFVGridGeometry<GridView, enableCache, CCTpfaDefaultGridGeometryTraits<GridView, MapperTraits>>;
};
 
// if we have pt scotch use the reordering dof mapper to optimally sort the dofs (box)
template<class TypeTag>
struct FVGridGeometry<TypeTag, TTag::TubesTestBox>
{
private:
    static constexpr bool enableCache = getPropValue<TypeTag, Properties::EnableGridGeometryCache>();
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
 
    using ElementMapper = Dune::MultipleCodimMultipleGeomTypeMapper<GridView>;
    using VertexMapper = ReorderingDofMapper<GridView>;
    using MapperTraits = DefaultMapperTraits<GridView, ElementMapper, VertexMapper>;
public:
    using type = BoxFVGridGeometry<Scalar, GridView, enableCache, BoxDefaultGridGeometryTraits<GridView, MapperTraits>>;
};
#pragma GCC diagnostic pop
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::TubesTest> { using type = TubesTestProblem<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::TubesTest>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = TubesTestSpatialParams<GridGeometry, Scalar>;
};
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::TubesTest>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
};
} // end namespace Properties
 
template <class TypeTag>
class TubesTestProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
 
    // Grid and world dimension
    static const int dim = GridView::dimension;
    static const int dimWorld = GridView::dimensionworld;
 
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    enum {
        // indices of the primary variables
        conti0EqIdx = Indices::conti0EqIdx,
        pressureIdx = Indices::pressureIdx
    };
 
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using Element = typename GridView::template Codim<0>::Entity;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    enum { isBox = GetPropType<TypeTag, Properties::GridGeometry>::discMethod == DiscretizationMethod::box };
 
public:
    TubesTestProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry)
    {
        name_ = getParam<std::string>("Problem.Name");
 
        //get hMax_ of the grid
        hMax_ = 0.0;
        for (const auto& element : elements(gridGeometry->gridView()))
           hMax_ = std::max(element.geometry().volume(), hMax_);
    }
 
    // \{
 
    const std::string& name() const
    {
        return name_;
    }
 
    Scalar temperature() const
    { return 273.15 + 37.0; } // Body temperature
 
    template<class ElementSolution>
    Scalar extrusionFactor(const Element &element,
                           const SubControlVolume &scv,
                           const ElementSolution& elemSol) const
    {
        const auto radius = this->spatialParams().radius(scv);
        return M_PI*radius*radius;
    }
 
    // \}
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes bcTypes;
        bcTypes.setAllDirichlet();
        return bcTypes;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    {
        return PrimaryVariables(0.0);
    }
 
    // \}
 
    // \{
 
    NumEqVector source(const Element &element,
                       const FVElementGeometry& fvGeometry,
                       const ElementVolumeVariables& elemVolVars,
                       const SubControlVolume &scv) const
    {
        NumEqVector source(0.0);
 
        const auto& globalPos = scv.center();
        const auto& volVars = elemVolVars[scv];
        const auto K = this->spatialParams().permeability(element, scv, EmptyElementSolution{});
 
        using std::sin;
        if (globalPos[2] > 0.5 - eps_)
            source[conti0EqIdx] = K/volVars.viscosity()*volVars.density()
                                    *4.0*4.0*M_PI*M_PI*sin(4.0*M_PI*globalPos[2]);
        else
            // the "/3.0" stems from the coordindate transformations on the lower branches
            source[conti0EqIdx] = K/volVars.viscosity()*volVars.density()
                                    *4.0*4.0*M_PI*M_PI*sin(4.0*M_PI*globalPos[2])/3.0;
 
        return source;
    }
 
    PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const
    {
        return PrimaryVariables(0.0);
    }
 
    // \}
 
    void outputL2Norm(const SolutionVector solution) const
    {
        // calculate the discrete L2-Norm
        Scalar lTwoNorm = 0.0;
 
        // get the Gaussian quadrature rule for intervals
        const auto& quad = Dune::QuadratureRules<Scalar, dim>::rule(Dune::GeometryType(1), 1);
 
        const auto& gg = this->gridGeometry();
        for (const auto& element : elements(gg.gridView()))
        {
            const auto eIdx = gg.elementMapper().index(element);
            const auto geometry = element.geometry();
            for(auto&& qp : quad)
            {
                const auto globalPos = geometry.global(qp.position());
                const Scalar pe = exactPressure_(globalPos);
                const Scalar integrationElement = geometry.integrationElement(qp.position());
                Scalar p = 0.0;
                if (!isBox)
                    p = solution[eIdx][pressureIdx];
                else
                {
                    // do interpolation with ansatz functions
                    std::vector<Dune::FieldVector<Scalar, 1> > shapeValues;
                    const auto& localFiniteElement = feCache_.get(geometry.type());
                    localFiniteElement.localBasis().evaluateFunction(qp.position(), shapeValues);
                    for (unsigned int i = 0; i < shapeValues.size(); ++i)
                        p += shapeValues[i]*solution[gg.dofMapper().subIndex(element, i, dim)][pressureIdx];
                }
                lTwoNorm += (p - pe)*(p - pe)*qp.weight()*integrationElement;
            }
        }
        lTwoNorm = std::sqrt(lTwoNorm);
 
        // write the norm into a log file
        std::ofstream logFile;
        logFile.open(this->name() + ".log", std::ios::app);
        logFile << "[ConvergenceTest] L2-norm(pressure) = " << lTwoNorm  << " hMax = " << hMax_ << std::endl;
        logFile.close();
    }
 
private:
 
    Scalar exactPressure_(const GlobalPosition& globalPos) const
    {
        using std::sin;
        return sin(4.0*M_PI*globalPos[2]);
    }
 
    static constexpr Scalar eps_ = 1e-8;
    std::string name_;
 
    Scalar hMax_;
 
    typename Dune::PQkLocalFiniteElementCache<Scalar, Scalar, dim, 1> feCache_;
};
 
} // end namespace Dumux
 
#endif