bf_node_3.c

cfd求解器使用与gmsh网格的求解

#define RCSID "$Id: BF_Node_3.c,v 1.11 2006/02/26 00:42:53 geuzaine Exp $"
/*
 * Copyright (C) 1997-2006 P. Dular, C. Geuzaine
 *
 * 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 2 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, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
 * USA.
 *
 * Please report all bugs and problems to <[e-mail]>.
 */

#include "GetDP.h"
#include "BF_Function.h"

#define WrongElementType(A,B)  Msg(GERROR, "Basis function A cannot be associated with B !")


/* ------------------------------------------------------------------------ */
/*  B F _ N o d e _ 3                                                       */
/* ------------------------------------------------------------------------ */

/* ------- */
/*  Edges  */
/* ------- */

#define WrongNumEntity   Msg(GERROR, "Wrong Edge number in 'BF_Node_3E'")



void  BF_Node_3E (struct Element * Element, int NumEntity, 
		   double u, double v, double w,  double *s ) {

  GetDP_Begin("BF_Node_3E");

  switch (Element->Type) {
  case LINE :
    switch(NumEntity) {
    case 1  : *s = 0.25 * (1.-u) * (1.+u) * (-u) ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case TRIANGLE :
    switch(NumEntity) {
    case 1  : *s = (1.-u-v) * u * (1.-2*u-v) ; break ;
    case 2  : *s = (1.-u-v) * v * (1.-u-2*v) ; break ;
    case 3  : *s = u * v * (u-v)             ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case QUADRANGLE :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3E not ready for QUADRANGLE");
    }
    break ;
    
  case TETRAHEDRON :
    switch(NumEntity) {
    case 1  : *s = (1.-u-v-w) * u * (1.-2*u-v-w) ; break ;
    case 2  : *s = (1.-u-v-w) * v * (1.-u-2*v-w) ; break ;
    case 3  : *s = (1.-u-v-w) * w * (1.-u-v-2*w) ; break ;
    case 4  : *s = u * v * (u-v)                 ; break ;
    case 5  : *s = u * w * (u-w)                 ; break ;
    case 6  : *s = v * w * (v-w)                 ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case HEXAHEDRON :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3E not ready for HEXAHEDRON");
    }
    break ;

  case PRISM :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3E not ready for PRISM");
    }
    break ;

  case PYRAMID :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3E not ready for PYRAMID");
    }
    break ;

  default :
    Msg(GERROR, "Unkown type of Element in BF_Node_3E");
    break ;
  }

  if (Element->GeoElement->NumEdges[NumEntity-1] < 0) 
    *s = -*s ;

  GetDP_End ;
}

#undef WrongNumEntity

/* -------- */
/*  Facets  */
/* -------- */

#define WrongNumEntity   Msg(GERROR, "Wrong Face number in 'BF_Node_3F'")

void  BF_Node_3F (struct Element * Element, int NumEntity, 
		   double u, double v, double w,  double *s ) {

  GetDP_Begin("BF_Node_3F");

  switch (Element->Type) {

  case LINE :
    WrongNumEntity ;
    break;

  case TRIANGLE :
    switch(NumEntity) {
    case 1  : *s = (1.-u-v) * u * v ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case QUADRANGLE :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3F not ready for QUADRANGLE");
    }
    break ;

  case TETRAHEDRON :
    switch(NumEntity) {
    case 1  : *s = (1.-u-v-w) * u * w ; break ;
    case 2  : *s = (1.-u-v-w) * v * u ; break ;
    case 3  : *s = (1.-u-v-w) * w * v ; break ;
    case 4  : *s = u * v * w          ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case HEXAHEDRON :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3F not ready for HEXAHEDRON");
    }
    break ;

  case PRISM :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3F not ready for PRISM");
    }
    break ;

  default :
    Msg(GERROR, "Unkown Element Type in BF_Node_3F");
    break ;
  }

  GetDP_End ;
}

#undef WrongNumEntity


/* -------- */
/*  Volume  */
/* -------- */

void  BF_Node_3V (struct Element * Element, int NumEntity, 
		   double u, double v, double w,  double *s ) {

  GetDP_Begin("BF_Node_3V");

  switch (Element->Type) {
    
  case LINE :
    WrongElementType(BF_Node_3V, LINE); break;
  case TRIANGLE :
    WrongElementType(BF_Node_3V, TRIANGLE); break;
  case QUADRANGLE :
    WrongElementType(BF_Node_3V, QUADRANGLE); break;
  case TETRAHEDRON :
    WrongElementType(BF_Node_3V, TETRAHEDRON); break;


  case HEXAHEDRON :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3V not ready for HEXAHEDRON");
    }
    break ;

  case PRISM :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_Node_3V not ready for PRISM");
    }
    break ;

  default :
    Msg(GERROR, "Unkown type of Element in BF_Node_3V");
    break ;
  }

  GetDP_End ;
}


/* ------------------------------------------------------------------------ */
/*  B F _ G r a d N o d e _ 3                                               */
/* ------------------------------------------------------------------------ */

/* ------- */
/*  Edges  */
/* ------- */

#define WrongNumEntity   Msg(GERROR, "Wrong Edge number in 'BF_GradNode_3E'")

void  BF_GradNode_3E (struct Element * Element, int NumEntity, 
		       double u, double v, double w,  double s[] ) {

  GetDP_Begin("BF_GradNode_3E");

  switch (Element->Type) {
  case LINE :
    switch(NumEntity) {
    case 1  : s[0] = -0.25 + 0.75 * u * u ; s[1] = 0. ; s[2] = 0. ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case TRIANGLE :
    switch(NumEntity) {
    case 1  : s[0] = 1.0-6.0*u-2.0*v+6.0*u*u+6.0*u*v+v*v ;
              s[1] = -2.0*u+3.0*u*u+2.0*u*v ;  
	      s[2] = 0. ; 
	      break ;
    case 2  : s[0] = -2.0*v+2.0*u*v+3.0*v*v ;
              s[1] = 1.0-2.0*u-6.0*v+u*u+6.0*u*v+6.0*v*v ;
              s[2] = 0. ; 
	      break ;
    case 3  : s[0] = 2.0*u*v-v*v ;
              s[1] = u*u-2.0*u*v ;
              s[2] = 0. ; 
	      break ;
    default : WrongNumEntity ;
    }
    break ;

  case QUADRANGLE :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3E not ready for QUADRANGLE");
    }
    break ;

  case TETRAHEDRON :
    switch(NumEntity) {
    case 1  : s[0] = 1.0-6.0*u-2.0*v-2.0*w+6.0*u*u+6.0*u*v+6.0*u*w+v*v+2.0*v*w+w*w ;
              s[1] = -2.0*u+3.0*u*u+2.0*u*v+2.0*u*w ;
              s[2] = -2.0*u+3.0*u*u+2.0*u*v+2.0*u*w ;
	      break ;
    case 2  : s[0] = -2.0*v+2.0*u*v+3.0*v*v+2.0*v*w ;
              s[1] =  1.0-2.0*u-6.0*v-2.0*w+u*u+6.0*u*v+2.0*u*w+6.0*v*v+6.0*v*w+w*w ;
              s[2] = -2.0*v+2.0*u*v+3.0*v*v+2.0*v*w ;
	      break ;
    case 3  : s[0] = -2.0*w+2.0*u*w+2.0*v*w+3.0*w*w ;
              s[1] = -2.0*w+2.0*u*w+2.0*v*w+3.0*w*w ; 
              s[2] = 1.0-2.0*u-2.0*v-6.0*w+u*u+2.0*u*v+6.0*u*w+v*v+6.0*v*w+6.0*w*w ;
	      break ;
    case 4  : s[0] = 2.0*u*v-v*v ;
              s[1] = u*u-2.0*u*v ;
              s[2] = 0.0 ;
	      break ;
    case 5  : s[0] = 2.0*u*w-w*w ;
              s[1] = 0.0 ;
              s[2] = u*u-2.0*u*w ;
	      break ;
    case 6  : s[0] = 0.0 ;
              s[1] = 2.0*v*w-w*w ;
              s[2] = v*v-2.0*v*w ;
	      break ;
    default : WrongNumEntity ;
    }
    break ;

  case HEXAHEDRON :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3E not ready for HEXAHEDRON");
    }
    break ;

  case PRISM :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3E not ready for PRISM");
    }
    break ;

  default :
    Msg(GERROR, "Unkown type of Element in BF_GradNode_3E");
    break ;
  }

  if (Element->GeoElement->NumEdges[NumEntity-1] < 0) {
    s[0] = - s[0] ; s[1] = - s[1] ; s[2] = - s[2] ;
  }

  GetDP_End ;
}

#undef WrongNumEntity

/* -------- */
/*  Facets  */
/* -------- */

#define WrongNumEntity   Msg(GERROR, "Wrong Face number in 'BF_GradNode_3F'")

void  BF_GradNode_3F (struct Element * Element, int NumEntity, 
		       double u, double v, double w,  double s[] ) {

  GetDP_Begin("BF_GradNode_3F");

  switch (Element->Type) {

  case LINE :
    WrongElementType(Node_3F, LINE);
    break ;

  case TRIANGLE :
    switch(NumEntity) {
    case 1  : s[0] = v-2.0*u*v-v*v ; s[1] = u-u*u-2.0*u*v ; s[2] = 0. ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case QUADRANGLE :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3F not ready for QUADRANGLE");
    }
    break ;

  case TETRAHEDRON :
    switch(NumEntity) {
    case 1  : s[0] = w-2.0*u*w-v*w-w*w ; s[1] = -u*w ; s[2] = u-u*u-u*v-2.0*u*w ; break ;
    case 2  : s[0] = v-2.0*u*v-v*v-v*w ; s[1] = u-u*u-2.0*u*v-u*w ; s[2] = -u*v ; break ;
    case 3  : s[0] = -v*w ; s[1] = w-u*w-2.0*v*w-w*w ; s[2] = v-u*v-v*v-2.0*v*w ; break ;
    case 4  : s[0] = v*w ; s[1] = u*w ; s[2] = u*v ; break ;
    default : WrongNumEntity ;
    }
    break ;

  case HEXAHEDRON :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3F not ready for HEXAHEDRON");
    }
    break ;

  case PRISM :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3F not ready for PRISM");
    }
    break ;

  default :
    Msg(GERROR, "Unkown type of Element in BF_GradNode_3F");
    break ;
  }

  GetDP_End ;
}

#undef WrongNumEntity

/* -------- */
/*  Volume  */
/* -------- */

void  BF_GradNode_3V (struct Element * Element, int NumEntity, 
		       double u, double v, double w,  double s[] ) {

  GetDP_Begin("BF_GradNode_3V");

  switch (Element->Type) {

  case LINE :
    WrongElementType(BF_Node_3V, LINE); break;
  case TRIANGLE :
    WrongElementType(BF_Node_3V, TRIANGLE); break;
  case QUADRANGLE :
    WrongElementType(BF_Node_3V, QUADRANGLE); break;
  case TETRAHEDRON :
    WrongElementType(BF_Node_3V, TETRAHEDRON); break;


  case HEXAHEDRON :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3V not ready for HEXAHEDRON");
    }
    break ;

  case PRISM :
    switch(NumEntity) {
    default : Msg(GERROR, "BF_GradNode_3V not ready for PRISM");
    }
    break ;

  default :
    Msg(GERROR, "Unkown type of Element in BF_GradNode_3V");
    break ;
  }

  GetDP_End ;
}

#undef WrongElementType