cell_pyramid5.C

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2014 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.

// This library 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
// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA


// C++ includes

// Local includes
#include "libmesh/side.h"
#include "libmesh/cell_pyramid5.h"
#include "libmesh/edge_edge2.h"
#include "libmesh/face_tri3.h"
#include "libmesh/face_quad4.h"

namespace libMesh
{




// ------------------------------------------------------------
// Pyramid5 class static member initializations
const unsigned int Pyramid5::side_nodes_map[5][4] =
  {
    {0, 1, 4, 99}, // Side 0
    {1, 2, 4, 99}, // Side 1
    {2, 3, 4, 99}, // Side 2
    {3, 0, 4, 99}, // Side 3
    {0, 3, 2,  1}  // Side 4
  };

const unsigned int Pyramid5::edge_nodes_map[8][2] =
  {
    {0, 1}, // Side 0
    {1, 2}, // Side 1
    {2, 3}, // Side 2
    {0, 3}, // Side 3
    {0, 4}, // Side 4
    {1, 4}, // Side 5
    {2, 4}, // Side 6
    {3, 4}  // Side 7
  };



// ------------------------------------------------------------
// Pyramid5 class member functions

bool Pyramid5::is_vertex(const unsigned int) const
{
  return true;
}

bool Pyramid5::is_edge(const unsigned int) const
{
  return false;
}

bool Pyramid5::is_face(const unsigned int) const
{
  return false;
}

bool Pyramid5::is_node_on_side(const unsigned int n,
                               const unsigned int s) const
{
  libmesh_assert_less (s, n_sides());
  for (unsigned int i = 0; i != 4; ++i)
    if (side_nodes_map[s][i] == n)
      return true;
  return false;
}

bool Pyramid5::is_node_on_edge(const unsigned int n,
                               const unsigned int e) const
{
  libmesh_assert_less (e, n_edges());
  for (unsigned int i = 0; i != 2; ++i)
    if (edge_nodes_map[e][i] == n)
      return true;
  return false;
}



bool Pyramid5::has_affine_map() const
{
  //  Point v = this->point(3) - this->point(0);
  //  return (v.relative_fuzzy_equals(this->point(2) - this->point(1)));
  return false;
}



UniquePtr<Elem> Pyramid5::build_side (const unsigned int i,
                                      bool proxy) const
{
  libmesh_assert_less (i, this->n_sides());

  if (proxy)
    {
      switch (i)
        {
        case 0:
        case 1:
        case 2:
        case 3:
          return UniquePtr<Elem>(new Side<Tri3,Pyramid5>(this,i));

        case 4:
          return UniquePtr<Elem>(new Side<Quad4,Pyramid5>(this,i));

        default:
          libmesh_error_msg("Invalid side i = " << i);
        }
    }

  else
    {
      // Create NULL pointer to be initialized, returned later.
      Elem* face = NULL;

      switch (i)
        {
        case 0:  // triangular face 1
          {
            face = new Tri3;

            face->set_node(0) = this->get_node(0);
            face->set_node(1) = this->get_node(1);
            face->set_node(2) = this->get_node(4);

            break;
          }
        case 1:  // triangular face 2
          {
            face = new Tri3;

            face->set_node(0) = this->get_node(1);
            face->set_node(1) = this->get_node(2);
            face->set_node(2) = this->get_node(4);

            break;
          }
        case 2:  // triangular face 3
          {
            face = new Tri3;

            face->set_node(0) = this->get_node(2);
            face->set_node(1) = this->get_node(3);
            face->set_node(2) = this->get_node(4);

            break;
          }
        case 3:  // triangular face 4
          {
            face = new Tri3;

            face->set_node(0) = this->get_node(3);
            face->set_node(1) = this->get_node(0);
            face->set_node(2) = this->get_node(4);

            break;
          }
        case 4:  // the quad face at z=0
          {
            face = new Quad4;

            face->set_node(0) = this->get_node(0);
            face->set_node(1) = this->get_node(3);
            face->set_node(2) = this->get_node(2);
            face->set_node(3) = this->get_node(1);

            break;
          }
        default:
          libmesh_error_msg("Invalid side i = " << i);
        }

      face->subdomain_id() = this->subdomain_id();
      return UniquePtr<Elem>(face);
    }

  libmesh_error_msg("We'll never get here!");
  return UniquePtr<Elem>();
}



UniquePtr<Elem> Pyramid5::build_edge (const unsigned int i) const
{
  libmesh_assert_less (i, this->n_edges());

  return UniquePtr<Elem>(new SideEdge<Edge2,Pyramid5>(this,i));
}



void Pyramid5::connectivity(const unsigned int libmesh_dbg_var(sc),
                            const IOPackage iop,
                            std::vector<dof_id_type>& conn) const
{
  libmesh_assert(_nodes);
  libmesh_assert_less (sc, this->n_sub_elem());
  libmesh_assert_not_equal_to (iop, INVALID_IO_PACKAGE);

  switch (iop)
    {
    case TECPLOT:
      {
        conn.resize(8);
        conn[0] = this->node(0)+1;
        conn[1] = this->node(1)+1;
        conn[2] = this->node(2)+1;
        conn[3] = this->node(3)+1;
        conn[4] = this->node(4)+1;
        conn[5] = this->node(4)+1;
        conn[6] = this->node(4)+1;
        conn[7] = this->node(4)+1;
        return;
      }

    case VTK:
      {
        conn.resize(5);
        conn[0] = this->node(3);
        conn[1] = this->node(2);
        conn[2] = this->node(1);
        conn[3] = this->node(0);
        conn[4] = this->node(4);
        return;
      }

    default:
      libmesh_error_msg("Unsupported IO package " << iop);
    }
}


Real Pyramid5::volume () const
{
  // The pyramid with a bilinear base has volume given by the
  // formula in: "Calculation of the Volume of a General Hexahedron
  // for Flow Predictions", AIAA Journal v.23, no.6, 1984, p.954-
  Node* node0 = this->get_node(0);
  Node* node1 = this->get_node(1);
  Node* node2 = this->get_node(2);
  Node* node3 = this->get_node(3);
  Node* node4 = this->get_node(4);

  // Construct Various edge and diagonal vectors
  Point v40 ( *node0 - *node4 );
  Point v13 ( *node3 - *node1 );
  Point v02 ( *node2 - *node0 );
  Point v03 ( *node3 - *node0 );
  Point v01 ( *node1 - *node0 );

  // Finally, ready to return the volume!
  return (1./6.)*(v40*(v13.cross(v02))) + (1./12.)*(v02*(v01.cross(v03)));
}

} // namespace libMesh