discretization/porenetwork/gridgeometry.hh

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#ifndef DUMUX_DISCRETIZATION_PNM_GRID_GEOMETRY_HH
#define DUMUX_DISCRETIZATION_PNM_GRID_GEOMETRY_HH
 
#include <string>
#include <unordered_map>
#include <functional>
 
#include <dune/common/exceptions.hh>
#include <dune/localfunctions/lagrange/pqkfactory.hh>
 
#include <dumux/discretization/method.hh>
#include <dumux/common/indextraits.hh>
#include <dumux/common/defaultmappertraits.hh>
#include <dumux/common/parameters.hh>
 
#include <dumux/discretization/basegridgeometry.hh>
#include <dumux/discretization/porenetwork/fvelementgeometry.hh>
#include <dumux/discretization/porenetwork/subcontrolvolume.hh>
#include <dumux/discretization/porenetwork/subcontrolvolumeface.hh>
#include <dumux/porenetwork/common/throatproperties.hh>
#include <dumux/porenetwork/common/poreproperties.hh>
#include <dumux/discretization/extrusion.hh>
 
namespace Dumux::PoreNetwork {
 
template<class Scalar, class GridView>
class DefaultPNMData
{
    using GridIndex = typename IndexTraits<GridView>::GridIndex;
    using SmallLocalIndex = typename IndexTraits<GridView>::SmallLocalIndex;
    using Label = std::int_least8_t;
    using Vertex = typename GridView::template Codim<GridView::dimension>::Entity;
    using Element = typename GridView::template Codim<0>::Entity;
 
    static const int dim = GridView::dimension;
 
public:
 
    template<class GridData>
    void update(const GridView& gridView, const GridData& gridData)
    {
        coordinationNumber_ = gridData.getCoordinationNumbers();
 
        const auto numThroats = gridView.size(0);
        throatInscribedRadius_.resize(numThroats);
        throatLength_.resize(numThroats);
        throatLabel_.resize(numThroats);
        throatCrossSectionalArea_.resize(numThroats);
        throatShapeFactor_.resize(numThroats);
 
        useSameGeometryForAllPores_ = true;
        useSameShapeForAllThroats_ = true;
        overwriteGridDataWithShapeSpecificValues_ = false;
 
        // first check if the same geometry shall be used for all entities ...
        if (hasParamInGroup(gridData.paramGroup(), "Grid.ThroatCrossSectionShape"))
        {
            const auto throatGeometryInput = getParamFromGroup<std::string>(gridData.paramGroup(), "Grid.ThroatCrossSectionShape");
            const auto throatGeometry = Throat::shapeFromString(throatGeometryInput);
            throatGeometry_.resize(1);
            throatGeometry_[0] = throatGeometry;
            overwriteGridDataWithShapeSpecificValues_  = getParamFromGroup<bool>(gridData.paramGroup(), "Grid.OverwriteGridDataWithShapeSpecificValues", true);
 
            std::cout << "Using '" << throatGeometryInput << "' as cross-sectional shape for all throats." << std::endl;
        }
        else // .. otherwise, get the corresponding parameter index from the grid data and resize the respective vector
        {
            std::cout << "Reading shape factors for throats from grid data." << std::endl;
            useSameShapeForAllThroats_ = false;
            throatGeometry_.resize(numThroats);
        }
 
        // get the vertex parameters
        const auto numPores = gridView.size(dim);
        poreInscribedRadius_.resize(numPores);
        poreLabel_.resize(numPores);
        poreVolume_.resize(numPores);
 
        // first check if the same geometry shall be used for all entities ...
        if (hasParamInGroup(gridData.paramGroup(), "Grid.PoreGeometry"))
        {
            const auto poreGeometryInput = getParamFromGroup<std::string>(gridData.paramGroup(), "Grid.PoreGeometry");
            poreGeometry_.resize(1);
            poreGeometry_[0] = Pore::shapeFromString(poreGeometryInput);;
 
            std::cout << "Using '" << poreGeometryInput << "' as geometry for all pores." << std::endl;
        }
        else // .. otherwise, get the corresponding parameter index from the grid data and resize the respective vector
        {
            std::cout << "Reading pore shapes from grid data." << std::endl;
            useSameGeometryForAllPores_ = false;
            poreGeometry_.resize(numPores);
        }
 
 
        for (const auto& vertex : vertices(gridView))
        {
            static const auto poreInscribedRadiusIdx = gridData.parameterIndex("PoreInscribedRadius");
            static const auto poreLabelIdx = gridData.parameterIndex("PoreLabel");
            const auto vIdx = gridView.indexSet().index(vertex);
            const auto& params = gridData.parameters(vertex);
            poreInscribedRadius_[vIdx] = params[poreInscribedRadiusIdx];
            assert(poreInscribedRadius_[vIdx] > 0.0);
            poreLabel_[vIdx] = params[poreLabelIdx];
 
            if (!useSameGeometryForAllPores())
                poreGeometry_[vIdx] = getPoreGeometry_(gridData, vertex);
 
            poreVolume_[vIdx] = getPoreVolume_(gridData, vertex, vIdx);
        }
 
        for (const auto& element : elements(gridView))
        {
            const int eIdx = gridView.indexSet().index(element);
            const auto& params = gridData.parameters(element);
            static const auto throatInscribedRadiusIdx = gridData.parameterIndex("ThroatInscribedRadius");
            static const auto throatLengthIdx = gridData.parameterIndex("ThroatLength");
            throatInscribedRadius_[eIdx] = params[throatInscribedRadiusIdx];
            throatLength_[eIdx] = params[throatLengthIdx];
 
            // use a default value if no throat label is given by the grid
            static const bool gridHasThroatLabel = gridData.gridHasElementParameter("ThroatLabel");
            if (gridHasThroatLabel)
            {
                static const auto throatLabelIdx = gridData.parameterIndex("ThroatLabel");
                throatLabel_[eIdx] = params[throatLabelIdx];
            }
            else
            {
                const auto vIdx0 = gridView.indexSet().subIndex(element, 0, dim);
                const auto vIdx1 = gridView.indexSet().subIndex(element, 1, dim);
 
                const auto poreLabel0 = poreLabel(vIdx0);
                const auto poreLabel1 = poreLabel(vIdx1);
 
                if (poreLabel0 >= 0 && poreLabel1 >= 0)
                {
                    std::cout << "\n Warning: Throat  "
                              << eIdx << " connects two boundary pores with different pore labels. Using the greater pore label as throat label.\n"
                              << "Set the throat labels explicitly in your grid file, if needed." << std::endl;
                }
 
                using std::max;
                throatLabel_[eIdx] = max(poreLabel0, poreLabel1);
            }
 
            if (!useSameShapeForAllThroats())
            {
                static const auto throatShapeFactorIdx = gridData.parameterIndex("ThroatShapeFactor");
                static const auto throatAreaIdx = gridData.parameterIndex("ThroatCrossSectionalArea");
                throatShapeFactor_[eIdx] = params[throatShapeFactorIdx];
                throatGeometry_[eIdx] = Throat::shape(throatShapeFactor_[eIdx]);
                throatCrossSectionalArea_[eIdx] = params[throatAreaIdx];
            }
            else
            {
                throatCrossSectionalArea_[eIdx] = getThroatCrossSectionalArea_(gridData, element, eIdx);
                throatShapeFactor_[eIdx] = getThroatShapeFactor_(gridData, element, eIdx);
            }
 
            assert(throatInscribedRadius_[eIdx] > 0.0);
            assert(throatLength_[eIdx] > 0.0);
            assert(throatCrossSectionalArea_[eIdx] > 0.0);
 
            static const bool addThroatVolumeToPoreVolume = getParamFromGroup<bool>(gridData.paramGroup(), "Grid.AddThroatVolumeToPoreVolume", false);
            if (addThroatVolumeToPoreVolume)
            {
                for (int vIdxLocal = 0; vIdxLocal < 2; ++vIdxLocal)
                {
                    const auto vIdx = gridView.indexSet().subIndex(element, vIdxLocal, dim);
                    poreVolume_[vIdx] += 0.5 * throatCrossSectionalArea_[eIdx] * throatLength_[eIdx];
                }
            }
        }
 
        maybeResizeContainers_();
    }
 
    Label poreLabel(const GridIndex dofIdxGlobal) const
    { return poreLabel_[dofIdxGlobal]; }
 
    const std::vector<Label>& poreLabel() const
    { return poreLabel_; }
 
    Scalar poreInscribedRadius(const GridIndex dofIdxGlobal) const
    { return poreInscribedRadius_[dofIdxGlobal]; }
 
    const std::vector<Scalar>& poreInscribedRadius() const
    { return poreInscribedRadius_; }
 
    Scalar poreVolume(const GridIndex dofIdxGlobal) const
    { return poreVolume_[dofIdxGlobal]; }
 
    const std::vector<Scalar>& poreVolume() const
    { return poreVolume_; }
 
    Scalar throatInscribedRadius(const GridIndex eIdx) const
    { return throatInscribedRadius_[eIdx]; }
 
    const std::vector<Scalar>& throatInscribedRadius() const
    { return throatInscribedRadius_; }
 
    Scalar throatLength(const GridIndex eIdx) const
    { return throatLength_[eIdx]; }
 
    const std::vector<Scalar>& throatLength() const
    { return throatLength_; }
 
    Label throatLabel(const GridIndex eIdx) const
    { return throatLabel_[eIdx]; }
 
    const std::vector<Label>& throatLabel() const
    { return throatLabel_; }
 
    SmallLocalIndex coordinationNumber(const GridIndex dofIdxGlobal) const
    { return coordinationNumber_[dofIdxGlobal]; }
 
    const std::vector<SmallLocalIndex>& coordinationNumber() const
    { return coordinationNumber_; }
 
    Pore::Shape poreGeometry(const GridIndex vIdx) const
    { return useSameGeometryForAllPores() ? poreGeometry_[0] : poreGeometry_[vIdx]; }
 
    const std::vector<Pore::Shape>& poreGeometry() const
    {
        if (useSameGeometryForAllPores())
        {
            // if a vector of pore geometries is requested (e.g., for vtk output),
            // resize the container and fill it with the same value everywhere
            const auto poreGeo = poreGeometry_[0];
            poreGeometry_.resize(poreInscribedRadius_.size(), poreGeo);
        }
 
        return poreGeometry_;
    }
 
    Throat::Shape throatCrossSectionShape(const GridIndex eIdx) const
    { return useSameShapeForAllThroats() ? throatGeometry_[0] : throatGeometry_[eIdx]; }
 
    const std::vector<Throat::Shape>& throatCrossSectionShape() const
    {
        if (useSameShapeForAllThroats())
        {
            // if a vector of throat cross section shapes is requested (e.g., for vtk output),
            // resize the container and fill it with the same value everywhere
            const auto throatShape = throatGeometry_[0];
            throatGeometry_.resize(throatInscribedRadius_.size(), throatShape);
        }
 
        return throatGeometry_;
    }
 
    Scalar throatCrossSectionalArea(const GridIndex eIdx) const
    { return throatCrossSectionalArea_[eIdx]; }
 
    const std::vector<Scalar>& throatCrossSectionalArea() const
    { return throatCrossSectionalArea_; }
 
    Scalar throatShapeFactor(const GridIndex eIdx) const
    { return useSameShapeForAllThroats() ? throatShapeFactor_[0] : throatShapeFactor_[eIdx]; }
 
    const std::vector<Scalar>& throatShapeFactor() const
    {
        if (useSameShapeForAllThroats())
        {
            // if a vector of throat shape factors is requested (e.g., for vtk output),
            // resize the container and fill it with the same value everywhere
            const auto shapeFactor = throatShapeFactor_[0];
            throatShapeFactor_.resize(throatInscribedRadius_.size(), shapeFactor);
        }
 
        return throatShapeFactor_;
    }
 
    bool useSameGeometryForAllPores() const
    { return useSameGeometryForAllPores_; }
 
    bool useSameShapeForAllThroats() const
    { return useSameShapeForAllThroats_; }
 
private:
 
    template<class GridData>
    Pore::Shape getPoreGeometry_(const GridData& gridData, const Vertex& vertex) const
    {
        static const auto poreGeometryIdx = gridData.parameterIndex("PoreGeometry");
        using T = std::underlying_type_t<Pore::Shape>;
        const auto poreGeometryValue = static_cast<T>(gridData.parameters(vertex)[poreGeometryIdx]);
        return static_cast<Pore::Shape>(poreGeometryValue);
    }
 
    template<class GridData>
    Scalar getPoreVolume_(const GridData& gridData, const Vertex& vertex, const std::size_t vIdx) const
    {
        static const bool gridHasPoreVolume = gridData.gridHasVertexParameter("PoreVolume");
 
        if (gridHasPoreVolume)
        {
            static const auto poreVolumeIdx = gridData.parameterIndex("PoreVolume");
            return gridData.parameters(vertex)[poreVolumeIdx];
        }
        else
        {
            if (poreGeometry(vIdx) == Pore::Shape::cylinder)
            {
                static const Scalar fixedHeight = getParamFromGroup<Scalar>(gridData.paramGroup(), "Grid.PoreHeight", -1.0);
                const Scalar h = fixedHeight > 0.0 ? fixedHeight : gridData.getParameter(vertex, "PoreHeight");
                return Pore::volume(Pore::Shape::cylinder, poreInscribedRadius(vIdx), h);
            }
            else
                return Pore::volume(poreGeometry(vIdx), poreInscribedRadius(vIdx));
        }
    }
 
    template<class GridData>
    Scalar getThroatCrossSectionalArea_(const GridData& gridData, const Element& element, const std::size_t eIdx) const
    {
        static const bool gridHasThroatCrossSectionalArea = gridData.gridHasElementParameter("ThroatCrossSectionalArea");
        if (gridHasThroatCrossSectionalArea && !overwriteGridDataWithShapeSpecificValues_)
        {
            static const auto throatAreaIdx = gridData.parameterIndex("ThroatCrossSectionalArea");
            return gridData.parameters(element)[throatAreaIdx];
        }
        else
        {
            if (const auto shape = throatCrossSectionShape(eIdx); shape == Throat::Shape::rectangle)
            {
                static const auto throatHeight = getParamFromGroup<Scalar>(gridData.paramGroup(), "Grid.ThroatHeight");
                return Throat::totalCrossSectionalAreaForRectangle(throatInscribedRadius_[eIdx], throatHeight);
            }
            else
                return Throat::totalCrossSectionalArea(shape, throatInscribedRadius_[eIdx]);
        }
    }
 
    template<class GridData>
    Scalar getThroatShapeFactor_(const GridData& gridData, const Element& element, const std::size_t eIdx) const
    {
        static const bool gridHasThroatShapeFactor = gridData.gridHasElementParameter("ThroatShapeFactor");
        if (gridHasThroatShapeFactor && !overwriteGridDataWithShapeSpecificValues_)
        {
            static const auto throatShapeFactorIdx = gridData.parameterIndex("ThroatShapeFactor");
            return gridData.parameters(element)[throatShapeFactorIdx];
        }
        else
        {
            if (const auto shape = throatCrossSectionShape(eIdx); shape == Throat::Shape::rectangle)
            {
                static const auto throatHeight = getParamFromGroup<Scalar>(gridData.paramGroup(), "Grid.ThroatHeight");
                return Throat::shapeFactorRectangle(throatInscribedRadius_[eIdx], throatHeight);
            }
            else if (shape == Throat::Shape::polygon || shape == Throat::Shape::scaleneTriangle)
            {
                static const auto shapeFactor = getParamFromGroup<Scalar>(gridData.paramGroup(), "Grid.ThroatShapeFactor");
                return shapeFactor;
            }
            else
                return Throat::shapeFactor<Scalar>(shape, throatInscribedRadius_[eIdx]);
        }
    }
 
    void maybeResizeContainers_()
    {
        // check if all throat might have the same shape in order to save some memory
        if (!useSameShapeForAllThroats() &&
            std::adjacent_find(throatGeometry_.begin(), throatGeometry_.end(), std::not_equal_to<Throat::Shape>() ) == throatGeometry_.end())
        {
            std::cout << "All throats feature the same shape, resizing containers" << std::endl;
            useSameShapeForAllThroats_ = true;
            const Scalar shapeFactor = throatShapeFactor_[0];
            const auto throatGeometry = throatGeometry_[0];
            throatShapeFactor_.resize(1);
            throatGeometry_.resize(1);
            throatShapeFactor_[0] = shapeFactor;
            throatGeometry_[0] = throatGeometry;
        }
 
        // check if all throat might have the same shape in order to save some memory
        if (!useSameGeometryForAllPores() &&
            std::adjacent_find(poreGeometry_.begin(), poreGeometry_.end(), std::not_equal_to<Pore::Shape>() ) == poreGeometry_.end())
        {
            std::cout << "All pores feature the same shape, resizing containers" << std::endl;
            useSameGeometryForAllPores_ = true;
            const auto poreGeometry = poreGeometry_[0];
            poreGeometry_.resize(1);
            poreGeometry_[0] = poreGeometry;
        }
    }
 
    mutable std::vector<Pore::Shape> poreGeometry_;
    std::vector<Scalar> poreInscribedRadius_;
    std::vector<Scalar> poreVolume_;
    std::vector<Label> poreLabel_; // 0:no, 1:general, 2:coupling1, 3:coupling2, 4:inlet, 5:outlet
    std::vector<SmallLocalIndex> coordinationNumber_;
    mutable std::vector<Throat::Shape> throatGeometry_;
    mutable std::vector<Scalar> throatShapeFactor_;
    std::vector<Scalar> throatInscribedRadius_;
    std::vector<Scalar> throatLength_;
    std::vector<Label> throatLabel_; // 0:no, 1:general, 2:coupling1, 3:coupling2, 4:inlet, 5:outlet
    std::vector<Scalar> throatCrossSectionalArea_;
    bool useSameGeometryForAllPores_;
    bool useSameShapeForAllThroats_;
    bool overwriteGridDataWithShapeSpecificValues_;
};
 
template<class GridView, class MapperTraits = DefaultMapperTraits<GridView>>
struct PNMDefaultGridGeometryTraits
: public MapperTraits
{
    using SubControlVolume = PNMSubControlVolume<GridView>;
    using SubControlVolumeFace = PNMSubControlVolumeFace<GridView>;
 
    template<class GridGeometry, bool enableCache>
    using LocalView = PNMFVElementGeometry<GridGeometry, enableCache>;
 
    using PNMData = DefaultPNMData<typename SubControlVolume::Traits::Scalar, GridView>;
};
 
template<class Scalar,
         class GridView,
         bool enableGridGeometryCache = false,
         class Traits = PNMDefaultGridGeometryTraits<GridView> >
class GridGeometry;
 
template<class Scalar, class GV, class Traits>
class GridGeometry<Scalar, GV, true, Traits>
: public BaseGridGeometry<GV, Traits>
, public Traits::PNMData
{
    using ThisType = GridGeometry<Scalar, GV, true, Traits>;
    using ParentType = BaseGridGeometry<GV, Traits>;
    using GridIndexType = typename IndexTraits<GV>::GridIndex;
    using LocalIndexType = typename IndexTraits<GV>::LocalIndex;
    using PNMData = typename Traits::PNMData;
 
    using Element = typename GV::template Codim<0>::Entity;
    using CoordScalar = typename GV::ctype;
    static const int dim = GV::dimension;
    static const int dimWorld = GV::dimensionworld;
 
public:
    static constexpr DiscretizationMethod discMethod = DiscretizationMethod::box;
 
    using LocalView = typename Traits::template LocalView<ThisType, true>;
    using SubControlVolume = typename Traits::SubControlVolume;
    using SubControlVolumeFace = typename Traits::SubControlVolumeFace;
    using Extrusion = Extrusion_t<Traits>;
    using DofMapper = typename Traits::VertexMapper;
    using FeCache = Dune::PQkLocalFiniteElementCache<CoordScalar, Scalar, dim, 1>;
    using GridView = GV;
 
    GridGeometry(const GridView gridView)
    : ParentType(gridView)
    {
        static_assert(GridView::dimension == 1, "Porenetwork model only allow GridView::dimension == 1!");
    }
 
    const DofMapper& dofMapper() const
    { return this->vertexMapper(); }
 
    std::size_t numScv() const
    {  return numScv_; }
 
    std::size_t numScvf() const
    { return numScvf_; }
 
    std::size_t numBoundaryScvf() const
    { return 0; }
 
    std::size_t numDofs() const
    { return this->vertexMapper().size(); }
 
    template<class GridData>
    void update(const GridData& gridData)
    {
        ParentType::update();
        PNMData::update(this->gridView(), gridData);
 
        scvs_.clear();
        scvfs_.clear();
 
        auto numElements = this->gridView().size(0);
        scvs_.resize(numElements);
        scvfs_.resize(numElements);
        hasBoundaryScvf_.resize(numElements, false);
 
        boundaryDofIndices_.assign(numDofs(), false);
 
        numScvf_ = numElements;
        numScv_ = 2*numElements;
 
        // Build the SCV and SCV faces
        for (const auto& element : elements(this->gridView()))
        {
            // get the element geometry
            auto eIdx = this->elementMapper().index(element);
            auto elementGeometry = element.geometry();
 
            // construct the sub control volumes
            for (LocalIndexType scvLocalIdx = 0; scvLocalIdx < elementGeometry.corners(); ++scvLocalIdx)
            {
                const auto dofIdxGlobal = this->vertexMapper().subIndex(element, scvLocalIdx, dim);
 
                // get the corners
                auto corners = std::array{elementGeometry.corner(scvLocalIdx), elementGeometry.center()};
 
                // get the fractional volume asssociated with the scv
                const auto volume = this->poreVolume(dofIdxGlobal) / this->coordinationNumber(dofIdxGlobal);
 
                scvs_[eIdx][scvLocalIdx] = SubControlVolume(dofIdxGlobal,
                                                            scvLocalIdx,
                                                            eIdx,
                                                            std::move(corners),
                                                            volume);
 
                if (this->poreLabel(dofIdxGlobal) > 0)
                {
                    if (boundaryDofIndices_[dofIdxGlobal])
                        continue;
 
                    boundaryDofIndices_[dofIdxGlobal] = true;
                    hasBoundaryScvf_[eIdx] = true;
                }
            }
 
            // construct the inner sub control volume face
            auto unitOuterNormal = elementGeometry.corner(1)-elementGeometry.corner(0);
            unitOuterNormal /= unitOuterNormal.two_norm();
            LocalIndexType scvfLocalIdx = 0;
            scvfs_[eIdx][0] = SubControlVolumeFace(elementGeometry.center(),
                                                   std::move(unitOuterNormal),
                                                   this->throatCrossSectionalArea(this->elementMapper().index(element)),
                                                   scvfLocalIdx++,
                                                   std::array<LocalIndexType, 2>({0, 1}));
        }
    }
 
    const FeCache& feCache() const
    { return feCache_; }
 
    const std::array<SubControlVolume, 2>& scvs(GridIndexType eIdx) const
    { return scvs_[eIdx]; }
 
    const std::array<SubControlVolumeFace, 1>& scvfs(GridIndexType eIdx) const
    { return scvfs_[eIdx]; }
 
    bool dofOnBoundary(GridIndexType dofIdx) const
    { return boundaryDofIndices_[dofIdx]; }
 
    bool dofOnPeriodicBoundary(GridIndexType dofIdx) const
    { return false; }
 
    GridIndexType periodicallyMappedDof(GridIndexType dofIdx) const
    { DUNE_THROW(Dune::NotImplemented, "Periodic boundaries"); }
 
    std::unordered_map<GridIndexType, GridIndexType> periodicVertexMap() const
    { return std::unordered_map<GridIndexType, GridIndexType>{}; }
 
    bool hasBoundaryScvf(GridIndexType eIdx) const
    { return hasBoundaryScvf_[eIdx]; }
 
private:
    const FeCache feCache_;
 
    std::vector<std::array<SubControlVolume, 2>> scvs_;
    std::vector<std::array<SubControlVolumeFace, 1>> scvfs_;
 
    std::size_t numScv_;
    std::size_t numScvf_;
 
    // vertices on the boudary
    std::vector<bool> boundaryDofIndices_;
    std::vector<bool> hasBoundaryScvf_;
};
 
template<class Scalar, class GV, class Traits>
class GridGeometry<Scalar, GV, false, Traits>
: public BaseGridGeometry<GV, Traits>
, public Traits::PNMData
{
    using ThisType = GridGeometry<Scalar, GV, false, Traits>;
    using ParentType = BaseGridGeometry<GV, Traits>;
    using GridIndexType = typename IndexTraits<GV>::GridIndex;
    using LocalIndexType = typename IndexTraits<GV>::LocalIndex;
    using PNMData = typename Traits::PNMData;
 
    static const int dim = GV::dimension;
    static const int dimWorld = GV::dimensionworld;
 
    using Element = typename GV::template Codim<0>::Entity;
    using CoordScalar = typename GV::ctype;
 
public:
    static constexpr DiscretizationMethod discMethod = DiscretizationMethod::box;
 
    using LocalView = typename Traits::template LocalView<ThisType, false>;
    using SubControlVolume = typename Traits::SubControlVolume;
    using SubControlVolumeFace = typename Traits::SubControlVolumeFace;
    using Extrusion = Extrusion_t<Traits>;
    using DofMapper = typename Traits::VertexMapper;
    using FeCache = Dune::PQkLocalFiniteElementCache<CoordScalar, Scalar, dim, 1>;
    using GridView = GV;
 
    GridGeometry(const GridView gridView)
    : ParentType(gridView)
    {
        static_assert(GridView::dimension == 1, "Porenetwork model only allow GridView::dimension == 1!");
    }
 
    const DofMapper& dofMapper() const
    { return this->vertexMapper(); }
 
    std::size_t numScv() const
    {  return numScv_; }
 
    std::size_t numScvf() const
    { return numScvf_; }
 
    std::size_t numBoundaryScvf() const
    { return 0; }
 
    std::size_t numDofs() const
    { return this->vertexMapper().size(); }
 
    template<class GridData>
    void update(const GridData& gridData)
    {
        ParentType::update();
        PNMData::update(this->gridView(), gridData);
 
        boundaryDofIndices_.assign(numDofs(), false);
 
        // save global data on the grid's scvs and scvfs
        numScvf_ = this->gridView().size(0);
        numScv_ = 2*numScvf_;
 
        for (const auto& element : elements(this->gridView()))
        {
            // treat boundaries
            for (LocalIndexType vIdxLocal = 0; vIdxLocal < 2; ++vIdxLocal)
            {
                const auto vIdxGlobal = this->vertexMapper().subIndex(element, vIdxLocal, dim);
                if (this->poreLabel(vIdxGlobal) > 0)
                {
                    if (boundaryDofIndices_[vIdxGlobal])
                        continue;
 
                    boundaryDofIndices_[vIdxGlobal] = true;
                }
            }
        }
    }
 
    const FeCache& feCache() const
    { return feCache_; }
 
    bool dofOnBoundary(GridIndexType dofIdx) const
    { return boundaryDofIndices_[dofIdx]; }
 
    bool dofOnPeriodicBoundary(GridIndexType dofIdx) const
    { return false; }
 
    GridIndexType periodicallyMappedDof(GridIndexType dofIdx) const
    { DUNE_THROW(Dune::NotImplemented, "Periodic boundaries"); }
 
    std::unordered_map<GridIndexType, GridIndexType> periodicVertexMap() const
    { return std::unordered_map<GridIndexType, GridIndexType>{}; }
 
private:
 
    const FeCache feCache_;
 
    // Information on the global number of geometries
    std::size_t numScv_;
    std::size_t numScvf_;
 
    // vertices on the boudary
    std::vector<bool> boundaryDofIndices_;
};
 
} // end namespace Dumux::PoreNetwork
 
#endif