facet/box/couplingmapper.hh

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#ifndef DUMUX_BOX_FACETCOUPLING_MAPPER_HH
#define DUMUX_BOX_FACETCOUPLING_MAPPER_HH
 
#include <dune/common/indices.hh>
 
#include <dumux/common/indextraits.hh>
#include <dumux/discretization/method.hh>
#include <dumux/multidomain/facet/couplingmapper.hh>
#include <dumux/multidomain/facet/couplingmapperbase.hh>
#include <dumux/multidomain/facet/codimonegridadapter.hh>
 
namespace Dumux {
 
template<class BulkFVG, class LowDimFVG, std::size_t bulkId, std::size_t lowDimId>
class FacetCouplingMapper<BulkFVG, LowDimFVG, bulkId, lowDimId, DiscretizationMethods::Box>
: public virtual FacetCouplingMapperBase<BulkFVG, LowDimFVG, bulkId, lowDimId>
{
    using ParentType = FacetCouplingMapperBase<BulkFVG, LowDimFVG, bulkId, lowDimId>;
    using LowDimElement = typename LowDimFVG::GridView::template Codim<0>::Entity;
 
    // dimensions of the two grids
    using BulkGridView = typename BulkFVG::GridView;
    using LowDimGridView = typename LowDimFVG::GridView;
    static constexpr int bulkDim = BulkGridView::dimension;
    static constexpr int lowDimDim = LowDimGridView::dimension;
 
public:
    using ParentType::bulkGridId;
    using ParentType::facetGridId;
 
    template< class Embeddings >
    void update(const BulkFVG& bulkFvGridGeometry,
                const LowDimFVG& lowDimFvGridGeometry,
                std::shared_ptr<const Embeddings> embeddings)
    {
        // forward to update function with instantiated vertex adapter
        using GridAdapter = CodimOneGridAdapter<Embeddings, bulkGridId, facetGridId>;
        update(bulkFvGridGeometry, lowDimFvGridGeometry, embeddings, GridAdapter(embeddings));
    }
 
    template< class Embeddings, class CodimOneGridAdapter >
    void update(const BulkFVG& bulkFvGridGeometry,
                const LowDimFVG& lowDimFvGridGeometry,
                std::shared_ptr<const Embeddings> embeddings,
                const CodimOneGridAdapter& codimOneGridAdapter)
    {
        // define the policy how to add map entries for given lowdim element and adjoined entity indices
        auto addCouplingEntryPolicy = [&] (auto&& adjoinedEntityIndices,
                                           const LowDimElement& lowDimElement,
                                           const LowDimFVG& lowDimFvGridGeometry,
                                           const BulkFVG& bulkFvGridGeometry)
        {
            using LowDimIndexType = typename IndexTraits<LowDimGridView>::GridIndex;
            using BulkIndexType = typename IndexTraits<BulkGridView>::GridIndex;
 
            const auto lowDimElemIdx = lowDimFvGridGeometry.elementMapper().index(lowDimElement);
            auto& lowDimData = this->couplingMap_(facetGridId, bulkGridId)[lowDimElemIdx];
 
            // determine corner indices (in bulk grid indices)
            const auto& eg = lowDimElement.geometry();
            const auto numElementCorners = eg.corners();
            std::vector<BulkIndexType> elementCorners(numElementCorners);
            for (int i = 0; i < numElementCorners; ++i)
                elementCorners[i] = codimOneGridAdapter.bulkGridVertexIndex(lowDimElement.template subEntity<lowDimDim>(i));
 
            // save unsorted set of corner indices and search scvfs in adjoined entities
            const auto unsortedElemCorners = elementCorners;
            std::sort(elementCorners.begin(), elementCorners.end());
 
            auto fvGeometry = localView(bulkFvGridGeometry);
            for (auto bulkElemIdx : adjoinedEntityIndices)
            {
                const auto bulkElement = bulkFvGridGeometry.element(bulkElemIdx);
                const auto bulkRefElem = referenceElement(bulkElement);
 
                // find the bulk element facet that lies on this low dim element (assumes conformity!)
                const auto coupledFacetIndex = [&]
                {
                    bool found = false;
                    unsigned int coupledFacetIndex = 0;
                    std::vector<unsigned int> handledFacets;
                    for (const auto& is : intersections(bulkFvGridGeometry.gridView(), bulkElement))
                    {
                        // skip already handled facets (necessary for e.g. Dune::FoamGrid)
                        if (std::count(handledFacets.begin(), handledFacets.end(), is.indexInInside()))
                            continue;
 
                        handledFacets.push_back(is.indexInInside());
 
                        // determine if it lies on low dim element by comparing corner indices
                        const auto numCorners = is.geometry().corners();
                        std::vector<BulkIndexType> facetIndices(numCorners);
                        for (int i = 0; i < numCorners; ++i)
                        {
                            const auto vIdxLocal = bulkRefElem.subEntity(is.indexInInside(), 1, i, bulkDim);
                            facetIndices[i] = bulkFvGridGeometry.vertexMapper().vertexIndex(bulkElement.template subEntity<bulkDim>(vIdxLocal));
                        }
 
                        std::sort(facetIndices.begin(), facetIndices.end());
                        if ( std::equal(facetIndices.begin(), facetIndices.end(), elementCorners.begin(), elementCorners.end()) )
                        {
                            coupledFacetIndex = is.indexInInside();
                            found = true; break;
                        }
                    }
 
                    // ensure that we found the facet!
                    if (!found)
                        DUNE_THROW(Dune::InvalidStateException, "Could not find the bulk element coupling facet!");
 
                    return coupledFacetIndex;
                }();
 
                // we should always find numElementCorners coupling scvfs
                fvGeometry.bindElement(bulkElement);
 
                unsigned int foundCounter = 0;
                std::vector<BulkIndexType> embeddedScvfIndices(numElementCorners);
                for (const auto& scvf : scvfs(fvGeometry))
                {
                    if (scvf.interiorBoundary() && scvf.facetIndexInElement() == coupledFacetIndex)
                    {
                        // we want to order the set of scvfs lying on the lower-dimensional element such that the i-th scvf
                        // coincides with the i-th low dim element corner. This will help later to identify which scvf fluxes
                        // enter which scv of the low dim element if the lower-dimensional domain uses the box scheme
                        const auto vIdxLocal = bulkRefElem.subEntity(coupledFacetIndex, 1, scvf.indexInElementFacet(), bulkDim);
                        const auto vIdxGlobal = bulkFvGridGeometry.vertexMapper().vertexIndex(bulkElement, vIdxLocal, bulkDim);
                        const auto it = std::find(unsortedElemCorners.begin(), unsortedElemCorners.end(), vIdxGlobal);
                        assert(it != unsortedElemCorners.end());
                        const auto lowDimElemLocalCornerIdx = std::distance(unsortedElemCorners.begin(), it);
                        embeddedScvfIndices[lowDimElemLocalCornerIdx] = scvf.index();
                        foundCounter++;
                    }
                }
 
                // ensure we found all scvfs
                if (foundCounter != numElementCorners)
                    DUNE_THROW(Dune::InvalidStateException, "Found " << foundCounter << " instead of " << numElementCorners << " coupling scvfs in the bulk element");
 
                // add each dof in the low dim element to coupling stencil of the bulk element
                auto& bulkData = this->couplingMap_(bulkGridId, facetGridId)[bulkElemIdx];
                const auto lowDimElementDofs = LowDimFVG::discMethod == DiscretizationMethods::box
                                               ? this->extractNodalDofs_(lowDimElement, lowDimFvGridGeometry)
                                               : std::vector<LowDimIndexType>({lowDimElemIdx});
 
                for (auto lowDimDofIdx : lowDimElementDofs)
                {
                    bulkData.couplingStencil.push_back(lowDimDofIdx);
                    auto& couplingScvfs = bulkData.dofToCouplingScvfMap[lowDimDofIdx];
                    couplingScvfs.insert(couplingScvfs.end(), embeddedScvfIndices.begin(), embeddedScvfIndices.end());
                }
 
                // add info on which scvfs coincide with which low dim element
                bulkData.couplingElementStencil.push_back(lowDimElemIdx);
                auto& elemToScvfMap = bulkData.elementToScvfMap[lowDimElemIdx];
                elemToScvfMap.insert(elemToScvfMap.end(), embeddedScvfIndices.begin(), embeddedScvfIndices.end());
 
                // add embedment and the bulk cell dofs to coupling stencil of low dim element
                lowDimData.embedments.emplace_back(bulkElemIdx, std::move(embeddedScvfIndices));
 
                const auto bulkElementDofs = this->extractNodalDofs_(bulkElement, bulkFvGridGeometry);
                for (auto bulkDofIdx : bulkElementDofs)
                    lowDimData.couplingStencil.push_back(bulkDofIdx);
            }
        };
 
        // let the parent do the update subject to the execution policy defined above
        ParentType::update_(bulkFvGridGeometry, lowDimFvGridGeometry, embeddings, addCouplingEntryPolicy);
 
        // coupling stencils might not be unique with the policy above
        auto makeStencilUnique = [] (auto& data)
        {
            auto& cs = data.second.couplingStencil;
            std::sort(cs.begin(), cs.end());
            cs.erase( std::unique(cs.begin(), cs.end()), cs.end() );
        };
 
        auto& lowDimCouplingData = this->couplingMap_(facetGridId, bulkGridId);
        std::for_each(lowDimCouplingData.begin(), lowDimCouplingData.end(), makeStencilUnique);
 
        // bulk coupling stencil is only non-unique if box is used
        if (LowDimFVG::discMethod == DiscretizationMethods::box)
        {
            auto& bulkCouplingData = this->couplingMap_(bulkGridId, facetGridId);
            std::for_each(bulkCouplingData.begin(), bulkCouplingData.end(), makeStencilUnique);
        }
    }
};
 
} // end namespace Dumux
 
#endif