cell_inf_hex18.c

一个用来实现偏微分方程中网格的计算库

// $Id: cell_inf_hex18.C 2789 2008-04-13 02:24:40Z roystgnr $

// The libMesh Finite Element Library.
// Copyright (C) 2002-2007  Benjamin S. Kirk, John W. Peterson
  
// 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

// Local includes
#include "libmesh_config.h"

#ifdef ENABLE_INFINITE_ELEMENTS

// C++ includes

// Local includes cont'd
#include "cell_inf_hex18.h"
#include "edge_edge3.h"
#include "edge_inf_edge2.h"
#include "face_quad9.h"
#include "face_inf_quad6.h"
#include "side.h"


// ------------------------------------------------------------
// InfHex18 class static member initializations
const unsigned int InfHex18::side_nodes_map[5][9] =
{
  { 0, 1, 2, 3, 8, 9, 10, 11, 16},   // Side 0
  { 0, 1, 4, 5, 8, 12, 99, 99, 99},  // Side 1
  { 1, 2, 5, 6, 9, 13, 99, 99, 99},  // Side 2
  { 2, 3, 6, 7, 10, 14, 99, 99, 99}, // Side 3
  { 3, 0, 7, 4, 11, 15, 99, 99, 99}  // Side 4
};

const unsigned int InfHex18::edge_nodes_map[8][3] =
{
  { 0, 1, 8},  // Side 0
  { 1, 2, 9},  // Side 1
  { 2, 3, 10}, // Side 2
  { 0, 3, 11}, // Side 3
  { 0, 4, 99}, // Side 4
  { 1, 5, 99}, // Side 5
  { 2, 6, 99}, // Side 6
  { 3, 7, 99}  // Side 7
};

// ------------------------------------------------------------
// InfHex18 class member functions

bool InfHex18::is_vertex(const unsigned int i) const
{
  if (i < 4)
    return true;
  return false;
}

bool InfHex18::is_edge(const unsigned int i) const
{
  if (i < 4)
    return false;
  if (i > 11)
    return false;
  return true;
}

bool InfHex18::is_face(const unsigned int i) const
{
  if (i > 11)
    return true;
  return false;
}

bool InfHex18::is_node_on_side(const unsigned int n,
			       const unsigned int s) const
{
  libmesh_assert(s < n_sides());
  for (unsigned int i = 0; i != 9; ++i)
    if (side_nodes_map[s][i] == n)
      return true;
  return false;
}

bool InfHex18::is_node_on_edge(const unsigned int n,
			       const unsigned int e) const
{
  libmesh_assert(e < n_edges());
  for (unsigned int i = 0; i != 3; ++i)
    if (edge_nodes_map[e][i] == n)
      return true;
  return false;
}

unsigned int InfHex18::key (const unsigned int s) const
{
  libmesh_assert (s < this->n_sides());

  // Think of a unit cube: (-1,1) x (-1,1) x (1,1)
  switch (s)
    {
    case 0: // the base face

      return
	this->compute_key (this->node(16));

          
    case 1:  // the face at y = -1

      return
	this->compute_key (this->node(0),
			   this->node(1),
			   this->node(5),
			   this->node(4));
      
    case 2:  // the face at x = 1

      return
	this->compute_key (this->node(1),
			   this->node(2),
			   this->node(6),
			   this->node(5));

    case 3: // the face at y = 1

      return
	this->compute_key (this->node(2),
			   this->node(3),
			   this->node(7),
			   this->node(6));
      
    case 4: // the face at x = -1
      
      return
	this->compute_key (this->node(3),
			   this->node(0),
			   this->node(4),
			   this->node(7));
    }

  // We'll never get here.
  libmesh_error();
  return 0;
}



AutoPtr<Elem> InfHex18::build_side (const unsigned int i,
				    bool proxy) const
{
  libmesh_assert (i < this->n_sides());

  if (proxy)
    {
      switch (i)
	{
	  // base
	case 0:
	  {
	    AutoPtr<Elem> ap(new Side<Quad9,InfHex18>(this,i));
	    return ap;
	  }
	  // ifem sides
	case 1:
	case 2:
	case 3:
	case 4:
	  {
	    AutoPtr<Elem> ap(new Side<InfQuad6,InfHex18>(this,i));
	    return ap;
	  }
	default:
	  libmesh_error();
	}
    }

  else
    {
      // Think of a unit cube: (-1,1) x (-1,1) x (1,1)
      switch (i)
	{
	case 0: // the base face
	  {
	    AutoPtr<Elem> face(new Quad9);

	    // This is the exception: all other face elements' normals
	    // point outwards; but the base element's normal points inward
	    face->set_node(0) = this->get_node(0);
	    face->set_node(1) = this->get_node(1);
	    face->set_node(2) = this->get_node(2);
	    face->set_node(3) = this->get_node(3);
	    face->set_node(4) = this->get_node(8);
	    face->set_node(5) = this->get_node(9);
	    face->set_node(6) = this->get_node(10);
	    face->set_node(7) = this->get_node(11);
	    face->set_node(8) = this->get_node(16);

	    return face;
	  }

	case 1:  // connecting to another infinite element
	  {
	    AutoPtr<Elem> face(new InfQuad6);
	
	    face->set_node(0) = this->get_node(0);
	    face->set_node(1) = this->get_node(1);
	    face->set_node(2) = this->get_node(4);
	    face->set_node(3) = this->get_node(5);
	    face->set_node(4) = this->get_node(8);
	    face->set_node(5) = this->get_node(12);

	    return face;
	  }

	case 2:  // connecting to another infinite element
	  {
	    AutoPtr<Elem> face(new InfQuad6);

	    face->set_node(0) = this->get_node(1);
	    face->set_node(1) = this->get_node(2);
	    face->set_node(2) = this->get_node(5);
	    face->set_node(3) = this->get_node(6);
	    face->set_node(4) = this->get_node(9);
	    face->set_node(5) = this->get_node(13);

	    return face;
	  }

	case 3:  // connecting to another infinite element
	  {
	    AutoPtr<Elem> face(new InfQuad6);
	
	    face->set_node(0) = this->get_node(2);
	    face->set_node(1) = this->get_node(3);
	    face->set_node(2) = this->get_node(6);
	    face->set_node(3) = this->get_node(7);
	    face->set_node(4) = this->get_node(10);
	    face->set_node(5) = this->get_node(14);

	    return face;
	  }

	case 4:  // connecting to another infinite element
	  {
	    AutoPtr<Elem> face(new InfQuad6);

	    face->set_node(0) = this->get_node(3);
	    face->set_node(1) = this->get_node(0);
	    face->set_node(2) = this->get_node(7);
	    face->set_node(3) = this->get_node(4);
	    face->set_node(4) = this->get_node(11);
	    face->set_node(5) = this->get_node(15);

	    return face;
	  }

	default:
	  {
	    libmesh_error();
	    AutoPtr<Elem> ap(NULL);  return ap;
	  }
	}
    }
  
  // We'll never get here.
  libmesh_error();
  AutoPtr<Elem> ap(NULL);  return ap;
}



AutoPtr<Elem> InfHex18::build_edge (const unsigned int i) const