geometryhelper.hh

Go to the documentation of this file.

// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
/*****************************************************************************
 *   See the file COPYING for full copying permissions.                      *
 *                                                                           *
 *   This program is free software: you can redistribute it and/or modify    *
 *   it under the terms of the GNU General Public License as published by    *
 *   the Free Software Foundation, either version 3 of the License, or       *
 *   (at your option) any later version.                                     *
 *                                                                           *
 *   This program is distributed in the hope that it will be useful,         *
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
 *   GNU General Public License for more details.                            *
 *                                                                           *
 *   You should have received a copy of the GNU General Public License       *
 *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
 *****************************************************************************/
#ifndef DUMUX_POROUSMEDIUMFLOW_BOXDFM_GEOMETRY_HELPER_HH
#define DUMUX_POROUSMEDIUMFLOW_BOXDFM_GEOMETRY_HELPER_HH
 
#include <dumux/discretization/box/boxgeometryhelper.hh>
 
namespace Dumux
{
 
template<class GridView, int dim, class ScvType, class ScvfType>
class BoxDfmGeometryHelper;
 
template <class GridView, class ScvType, class ScvfType>
class BoxDfmGeometryHelper<GridView, 2, ScvType, ScvfType> : public BoxGeometryHelper<GridView, 2, ScvType, ScvfType>
{
    using ParentType = BoxGeometryHelper<GridView, 2, ScvType, ScvfType>;
 
    using Intersection = typename GridView::Intersection;
    using ScvfCornerStorage = typename ScvfType::Traits::CornerStorage;
 
    static constexpr auto dim = GridView::dimension;
    using Scalar = typename GridView::ctype;
    using ReferenceElements = typename Dune::ReferenceElements<Scalar, dim>;
 
public:
 
    using ParentType::ParentType;
 
    ScvfCornerStorage getFractureScvfCorners(const Intersection& is,
                                             const typename Intersection::Geometry& isGeom,
                                             unsigned int idxOnIntersection = 0) const
    { return ScvfCornerStorage({isGeom.center()}); }
 
 
    typename ScvfType::Traits::GlobalPosition
    fractureNormal(const ScvfCornerStorage& p,
                   const Intersection& is,
                   unsigned int edgeIndexInIntersection = 0) const
    {
        const auto referenceElement = ReferenceElements::general(this->elementGeometry_.type());
        const auto vIdxLocal0 = referenceElement.subEntity(is.indexInInside(), 1, 0, dim);
        const auto vIdxLocal1 = referenceElement.subEntity(is.indexInInside(), 1, 1, dim);
        auto n = this->elementGeometry_.corner(vIdxLocal1) - this->elementGeometry_.corner(vIdxLocal0);
        n /= n.two_norm();
        return n;
    }
};
 
template <class GridView, class ScvType, class ScvfType>
class BoxDfmGeometryHelper<GridView, 3, ScvType, ScvfType> : public BoxGeometryHelper<GridView, 3, ScvType, ScvfType>
{
    using ParentType = BoxGeometryHelper<GridView, 3, ScvType, ScvfType>;
 
    using Intersection = typename GridView::Intersection;
    using ScvfCornerStorage = typename ScvfType::Traits::CornerStorage;
 
    static constexpr auto dim = GridView::dimension;
    static constexpr auto dimWorld = GridView::dimensionworld;
    using Scalar = typename GridView::ctype;
    using ReferenceElements = typename Dune::ReferenceElements<Scalar, dim>;
    using FaceReferenceElements = typename Dune::ReferenceElements<Scalar, dim-1>;
 
public:
 
    using ParentType::ParentType;
 
    ScvfCornerStorage getFractureScvfCorners(const Intersection& is,
                                             const typename Intersection::Geometry& isGeom,
                                             unsigned int edgeIndexInIntersection) const
    {
        const auto referenceElement = ReferenceElements::general(this->elementGeometry_.type());
        const auto faceRefElem = FaceReferenceElements::general(isGeom.type());
 
        // create point vector for this geometry
        typename ScvfType::Traits::GlobalPosition pi[9];
 
        // the facet center
        pi[0] = isGeom.center();
 
        // facet edge midpoints
        const auto idxInInside = is.indexInInside();
        for (int i = 0; i < faceRefElem.size(1); ++i)
        {
            const auto edgeIdxLocal = referenceElement.subEntity(idxInInside, 1, i, dim-1);
            pi[i+1] = this->p_[edgeIdxLocal+this->corners_+1];
        }
 
        // proceed according to number of corners
        const auto corners = isGeom.corners();
        switch (corners)
        {
            case 3: // triangle
            {
                static const std::uint8_t fo = 1; 
                static const std::uint8_t map[3][2] =
                {
                    {fo+0, 0},
                    {0, fo+1},
                    {fo+2, 0}
                };
 
                return ScvfCornerStorage{ {pi[map[edgeIndexInIntersection][0]],
                                           pi[map[edgeIndexInIntersection][1]]} };
            }
            case 4: // quadrilateral
            {
                static const std::uint8_t fo = 1; 
                static const std::uint8_t map[4][2] =
                {
                    {0, fo+0},
                    {fo+1, 0},
                    {fo+2, 0},
                    {0, fo+3}
                };
 
                return ScvfCornerStorage{ {pi[map[edgeIndexInIntersection][0]],
                                           pi[map[edgeIndexInIntersection][1]]} };
        }
        default:
            DUNE_THROW(Dune::NotImplemented, "Box fracture scvf geometries for dim=" << dim
                                                                << " dimWorld=" << dimWorld
                                                                << " corners=" << corners);
        }
    }
 
    typename ScvfType::Traits::GlobalPosition
    fractureNormal(const ScvfCornerStorage& p,
                   const Intersection& is,
                   unsigned int edgeIndexInIntersection) const
    {
        const auto referenceElement = ReferenceElements::general(this->elementGeometry_.type());
 
        // first get the intersection corners (maximum "4" is for quadrilateral face)
        typename ScvfType::Traits::GlobalPosition c[4];
 
        const auto corners = referenceElement.size(is.indexInInside(), 1, dim);
        for (int i = 0; i < corners; ++i)
        {
            const auto vIdxLocal = referenceElement.subEntity(is.indexInInside(), 1, i, dim);
            c[i] = this->elementGeometry_.corner(vIdxLocal);
        }
 
        // compute edge vector depending on number of corners
        const auto gridEdge = [&] ()
        {
            // triangles
            if (corners == 3)
            {
                if (edgeIndexInIntersection == 0) return c[1]-c[0];
                else if (edgeIndexInIntersection == 1) return c[2]-c[0];
                else if (edgeIndexInIntersection == 2) return c[2]-c[1];
                else DUNE_THROW(Dune::InvalidStateException, "Invalid edge index");
            }
            else if (corners == 4)
            {
                if (edgeIndexInIntersection == 0) return c[2]-c[0];
                else if (edgeIndexInIntersection == 1) return c[3]-c[1];
                else if (edgeIndexInIntersection == 2) return c[1]-c[0];
                else if (edgeIndexInIntersection == 3) return c[3]-c[2];
                else DUNE_THROW(Dune::InvalidStateException, "Invalid edge index");
            }
            else
                DUNE_THROW(Dune::InvalidStateException, "Invalid face geometry");
        } ();
 
        // compute lower edge of the scvf
        assert(p.size() == 2);
        const auto scvfEdge = p[1]-p[0];
 
        // compute scvf normal via 2 cross products
        const auto faceN = crossProduct(gridEdge, scvfEdge);
        auto n = crossProduct(scvfEdge, faceN);
        n /= n.two_norm();
        return n;
    }
};
 
} // end namespace Dumux
 
#endif