Hexahedron.cpp

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////////////////////////////////////////////////////////////////////////////////
//
//  File: Hexahedron.cpp
//
//  For more information, please see: http://www.nektar.info/
//
//  The MIT License
//
//  Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
//  Department of Aeronautics, Imperial College London (UK), and Scientific
//  Computing and Imaging Institute, University of Utah (USA).
//
//  License for the specific language governing rights and limitations under
//  Permission is hereby granted, free of charge, to any person obtaining a
//  copy of this software and associated documentation files (the "Software"),
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//  OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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//
//  Description: Hexahedral elements
//
////////////////////////////////////////////////////////////////////////////////

#include <SpatialDomains/HexGeom.h>
#include <NekMeshUtils/MeshElements/Hexahedron.h>

using namespace std;

namespace Nektar
{
namespace NekMeshUtils
{

LibUtilities::ShapeType Hexahedron::m_type =
    GetElementFactory().RegisterCreatorFunction(
        LibUtilities::eHexahedron, Hexahedron::create, "Hexahedron");

/**
 * @brief Create a hexahedral element.
 */
Hexahedron::Hexahedron(ElmtConfig pConf,
                       vector<NodeSharedPtr> pNodeList,
                       vector<int> pTagList)
    : Element(pConf, GetNumNodes(pConf), pNodeList.size())
{
    m_tag     = "H";
    m_dim     = 3;
    m_taglist = pTagList;
    int n     = m_conf.m_order - 1;

    // Create a map to relate edge nodes to a pair of vertices defining an edge
    // This is based on the ordering produced by gmsh.
    map<pair<int, int>, int> edgeNodeMap;
    map<pair<int, int>, int>::iterator it;
    edgeNodeMap[pair<int, int>(1, 2)] = 9;
    edgeNodeMap[pair<int, int>(2, 3)] = 9 + n;
    edgeNodeMap[pair<int, int>(3, 4)] = 9 + 2 * n;
    edgeNodeMap[pair<int, int>(4, 1)] = 9 + 3 * n;
    edgeNodeMap[pair<int, int>(1, 5)] = 9 + 4 * n;
    edgeNodeMap[pair<int, int>(2, 6)] = 9 + 5 * n;
    edgeNodeMap[pair<int, int>(3, 7)] = 9 + 6 * n;
    edgeNodeMap[pair<int, int>(4, 8)] = 9 + 7 * n;
    edgeNodeMap[pair<int, int>(5, 6)] = 9 + 8 * n;
    edgeNodeMap[pair<int, int>(6, 7)] = 9 + 9 * n;
    edgeNodeMap[pair<int, int>(7, 8)] = 9 + 10 * n;
    edgeNodeMap[pair<int, int>(8, 5)] = 9 + 11 * n;

    // Add vertices
    for (int i = 0; i < 8; ++i)
    {
        m_vertex.push_back(pNodeList[i]);
    }

    // Create edges (with corresponding set of edge points)
    for (it = edgeNodeMap.begin(); it != edgeNodeMap.end(); ++it)
    {
        vector<NodeSharedPtr> edgeNodes;
        if (m_conf.m_order > 1)
        {
            for (int j = it->second; j < it->second + n; ++j)
            {
                edgeNodes.push_back(pNodeList[j - 1]);
            }
        }
        m_edge.push_back(EdgeSharedPtr(new Edge(pNodeList[it->first.first - 1],
                                                pNodeList[it->first.second - 1],
                                                edgeNodes,
                                                m_conf.m_edgeCurveType)));
    }

    // Create faces
    int face_edges[6][4];
    int face_ids[6][4] = {{0, 1, 2, 3},
                          {0, 1, 5, 4},
                          {1, 2, 6, 5},
                          {3, 2, 6, 7},
                          {0, 3, 7, 4},
                          {4, 5, 6, 7}};
    for (int j = 0; j < 6; ++j)
    {
        vector<NodeSharedPtr> faceVertices;
        vector<EdgeSharedPtr> faceEdges;
        vector<NodeSharedPtr> faceNodes;
        for (int k = 0; k < 4; ++k)
        {
            faceVertices.push_back(m_vertex[face_ids[j][k]]);
            NodeSharedPtr a = m_vertex[face_ids[j][k]];
            NodeSharedPtr b = m_vertex[face_ids[j][(k + 1) % 4]];
            for (unsigned int i = 0; i < m_edge.size(); ++i)
            {
                if (((*(m_edge[i]->m_n1) == *a) &&
                     (*(m_edge[i]->m_n2) == *b)) ||
                    ((*(m_edge[i]->m_n1) == *b) && (*(m_edge[i]->m_n2) == *a)))
                {
                    face_edges[j][k] = i;
                    faceEdges.push_back(m_edge[i]);
                    break;
                }
            }
        }

        if (m_conf.m_faceNodes)
        {
            int N = 8 + 12 * n + j * n * n;
            for (int i = 0; i < n * n; ++i)
            {
                faceNodes.push_back(pNodeList[N + i]);
            }
        }
        m_face.push_back(FaceSharedPtr(new Face(
            faceVertices, faceNodes, faceEdges, m_conf.m_faceCurveType)));
    }

    // Reorder edges to be consistent with Nektar++ ordering.
    vector<EdgeSharedPtr> tmp(12);
    tmp[0]  = m_edge[face_edges[0][0]];
    tmp[1]  = m_edge[face_edges[0][1]];
    tmp[2]  = m_edge[face_edges[0][2]];
    tmp[3]  = m_edge[face_edges[0][3]];
    tmp[4]  = m_edge[face_edges[1][3]];
    tmp[5]  = m_edge[face_edges[1][1]];
    tmp[6]  = m_edge[face_edges[2][1]];
    tmp[7]  = m_edge[face_edges[4][1]];
    tmp[8]  = m_edge[face_edges[5][0]];
    tmp[9]  = m_edge[face_edges[5][1]];
    tmp[10] = m_edge[face_edges[5][2]];
    tmp[11] = m_edge[face_edges[5][3]];
    m_edge  = tmp;
}

SpatialDomains::GeometrySharedPtr Hexahedron::GetGeom(int coordDim)
{
    SpatialDomains::QuadGeomSharedPtr faces[6];
    SpatialDomains::HexGeomSharedPtr ret;

    for (int i = 0; i < 6; ++i)
    {
        faces[i] = boost::dynamic_pointer_cast<SpatialDomains::QuadGeom>(
            m_face[i]->GetGeom(coordDim));
    }

    ret = MemoryManager<SpatialDomains::HexGeom>::AllocateSharedPtr(faces);

    return ret;
}

/**
 * @brief Return the number of nodes defining a hexahedron.
 */
unsigned int Hexahedron::GetNumNodes(ElmtConfig pConf)
{
    int n = pConf.m_order;
    if (pConf.m_faceNodes && pConf.m_volumeNodes)
        return (n + 1) * (n + 1) * (n + 1);
    else if (pConf.m_faceNodes && !pConf.m_volumeNodes)
        return 6 * (n + 1) * (n + 1) - 12 * (n + 1) + 8;
    else
        return 12 * (n + 1) - 16;
}
}
}