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BF_Edge.cpp 12.30 KiB
// GetDP - Copyright (C) 1997-2018 P. Dular and C. Geuzaine, University of Liege
//
// See the LICENSE.txt file for license information. Please report all
// bugs and problems to the public mailing list <getdp@onelab.info>.
//
// Contributor(s):
// Christophe Trophime
//
#include "ProData.h"
#include "Message.h"
#define SQU(a) ((a)*(a))
#define NoEdge Message::Error("Missing Edge Entity in Element %d", Element->Num)
/* ------------------------------------------------------------------------ */
/* B F _ E d g e */
/* ------------------------------------------------------------------------ */
#define WrongNumEdge Message::Error("Wrong Edge number in 'BF_Edge'")
void BF_Edge(struct Element * Element, int NumEdge,
double u, double v, double w, double s[])
{
switch (Element->Type) {
case LINE :
switch(NumEdge) {
case 1 : s[0] = 0.5 ; s[1] = 0. ; s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case TRIANGLE :
case TRIANGLE_2 :
switch(NumEdge) {
case 1 : s[0] = 1.-v ; s[1] = u ; s[2] = 0. ; break ;
case 2 : s[0] = v ; s[1] = 1.-u ; s[2] = 0. ; break ;
case 3 : s[0] = -v ; s[1] = u ; s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case QUADRANGLE :
switch(NumEdge) {
case 1 : s[0] = 0.25 * (1.-v) ; s[1] = 0. ; s[2] = 0. ; break ;
case 2 : s[0] = 0. ; s[1] = 0.25 * (1.-u) ; s[2] = 0. ; break ;
case 3 : s[0] = 0. ; s[1] = 0.25 * (1.+u) ; s[2] = 0. ; break ;
case 4 : s[0] = -0.25 * (1.+v) ; s[1] = 0. ; s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case TETRAHEDRON :
switch(NumEdge) {
case 1 : s[0] = 1.-v-w ; s[1] = u ; s[2] = u ; break ;
case 2 : s[0] = v ; s[1] = 1.-u-w ; s[2] = v ; break ;
case 3 : s[0] = w ; s[1] = w ; s[2] = 1.-u-v ; break ;
case 4 : s[0] = -v ; s[1] = u ; s[2] = 0. ; break ;
case 5 : s[0] = -w ; s[1] = 0. ; s[2] = u ; break ;
case 6 : s[0] = 0. ; s[1] = -w ; s[2] = v ; break ;
default : WrongNumEdge ;
}
break ;
case HEXAHEDRON :
switch(NumEdge) {
case 1 : s[0] = 0.125 * (1.-v) * (1.-w) ; s[1] = 0. ; s[2] = 0. ; break ;
case 6 : s[0] = -0.125 * (1.+v) * (1.-w) ; s[1] = 0. ; s[2] = 0. ; break ;
case 9 : s[0] = 0.125 * (1.-v) * (1.+w) ; s[1] = 0. ; s[2] = 0. ; break ; case 12 : s[0] = -0.125 * (1.+v) * (1.+w) ; s[1] = 0. ; s[2] = 0. ; break ;
case 2 : s[0] = 0. ; s[1] = 0.125 * (1.-u) * (1.-w) ; s[2] = 0. ; break ;
case 4 : s[0] = 0. ; s[1] = 0.125 * (1.+u) * (1.-w) ; s[2] = 0. ; break ;
case 10 : s[0] = 0. ; s[1] = 0.125 * (1.-u) * (1.+w) ; s[2] = 0. ; break ;
case 11 : s[0] = 0. ; s[1] = 0.125 * (1.+u) * (1.+w) ; s[2] = 0. ; break ;
case 3 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.125 * (1.-u) * (1.-v) ; break ;
case 5 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.125 * (1.+u) * (1.-v) ; break ;
case 7 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.125 * (1.+u) * (1.+v) ; break ;
case 8 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.125 * (1.-u) * (1.+v) ; break ;
default : WrongNumEdge ;
}
break ;
case PRISM :
switch(NumEdge) {
case 1 : s[0] = 0.5 * (1.-v) * (1.-w) ;
s[1] = 0.5 * u * (1.-w) ;
s[2] = 0. ; break ;
case 2 : s[0] = 0.5 * v * (1.-w) ;
s[1] = 0.5 * (1.-u) * (1.-w) ;
s[2] = 0. ; break ;
case 3 : s[0] = 0. ;
s[1] = 0. ;
s[2] = 0.5 * (1.-u-v) ; break ;
case 4 : s[0] = -0.5 * v * (1.-w) ;
s[1] = 0.5 * u * (1.-w) ;
s[2] = 0. ; break ;
case 5 : s[0] = 0. ;
s[1] = 0. ;
s[2] = 0.5 * u ; break ;
case 6 : s[0] = 0. ;
s[1] = 0. ;
s[2] = 0.5 * v ; break ;
case 7 : s[0] = 0.5 * (1.-v) * (1.+w) ;
s[1] = 0.5 * u * (1.+w) ;
s[2] = 0. ; break ;
case 8 : s[0] = 0.5 * v * (1.+w) ;
s[1] = 0.5 * (1.-u) * (1.+w) ;
s[2] = 0. ; break ;
case 9 : s[0] = -0.5 * v * (1.+w) ;
s[1] = 0.5 * u * (1.+w) ;
s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case PYRAMID :
if (w != 1){
switch(NumEdge) {
case 1 : s[0] = 0.25 * (1 - v - w) ;
s[1] = 0. ;
s[2] = 0.25 * (u - u * v / (1. - w)) ; break ;
case 2 : s[0] = 0. ;
s[1] = 0.25 * (1 - u - w) ;
s[2] = 0.25 * (v - u * v / (1. - w)) ; break ;
case 4 : s[0] = 0. ;
s[1] = 0.25 * (1 + u - w) ;
s[2] = 0.25 * (v + u * v / (1. - w)) ; break ;
case 6 : s[0] = -0.25 * (1 + v - w) ;
s[1] = 0. ;
s[2] = -0.25 * (u + u * v / (1. - w)) ; break ;
case 3 : s[0] = 0.25 * (w - v * w / (1. - w)) ;
s[1] = 0.25 * (w - u * w / (1. - w)) ;
s[2] = 0.25 * (1. - u - v + u * v / SQU(1. - w) - 2 * u * v * w / SQU(1. - w)) ; break ;
case 5 : s[0] = -0.25 * (w - v * w / (1. - w)) ;
s[1] = 0.25 * (w + u * w / (1. - w)) ;
s[2] = 0.25 * (1. + u - v - u * v / SQU(1. - w) + 2 * u * v * w / SQU(1. - w)) ; break ;
case 7 : s[0] = -0.25 * (w + v * w / (1. - w)) ; s[1] = -0.25 * (w + u * w / (1. - w)) ;
s[2] = 0.25 * (1. + u + v + u * v / SQU(1. - w) - 2 * u * v * w / SQU(1. - w)) ; break ;
case 8 : s[0] = 0.25 * (w + v * w / (1. - w)) ;
s[1] = -0.25 * (w - u * w / (1. - w)) ;
s[2] = 0.25 * (1. - u + v - u * v / SQU(1. - w) + 2 * u * v * w / SQU(1. - w)) ; break ;
default : WrongNumEdge ;
}
}
else
switch(NumEdge) {
case 1 : s[0] = -0.25 * v ;
s[1] = 0. ;
s[2] = 0.25 * u ; break ;
case 2 : s[0] = 0. ;
s[1] = -0.25 * u ;
s[2] = 0.25 * v ; break ;
case 4 : s[0] = 0. ;
s[1] = 0.25 * u ;
s[2] = 0.25 * v ; break ;
case 6 : s[0] = -0.25 * v ;
s[1] = 0. ;
s[2] = -0.25 * u ; break ;
case 3 : s[0] = 0.25 ;
s[1] = 0.25 ;
s[2] = 0.25 * (1. - u - v) ; break ;
case 5 : s[0] = -0.25 ;
s[1] = 0.25 ;
s[2] = 0.25 * (1. + u - v) ; break ;
case 7 : s[0] = -0.25 ;
s[1] = -0.25 ;
s[2] = 0.25 * (1. + u + v) ; break ;
case 8 : s[0] = 0.25 ;
s[1] = -0.25 ;
s[2] = 0.25 * (1. - u + v) ; break ;
default : WrongNumEdge ;
}
break ;
default :
Message::Error("Unknown type of Element in BF_Edge");
break;
}
if (!Element->GeoElement->NumEdges) NoEdge ;
if (Element->GeoElement->NumEdges[NumEdge-1] < 0) {
s[0] = - s[0] ; s[1] = - s[1] ; s[2] = - s[2] ;
}
}
#undef WrongNumEdge
/* ------------------------------------------------------------------------ */
/* B F _ C u r l E d g e */
/* ------------------------------------------------------------------------ */
#define WrongNumEdge Message::Error("Wrong Edge number in 'BF_CurlEdge'")
void BF_CurlEdge(struct Element * Element, int NumEdge,
double u, double v, double w, double s[])
{
switch (Element->Type) {
case LINE :
switch(NumEdge) {
case 1 : s[0] = 0. ; s[1] = 0. ; s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case TRIANGLE : case TRIANGLE_2 :
switch(NumEdge) {
case 1 : s[0] = 0. ; s[1] = 0. ; s[2] = 2. ; break ;
case 2 : s[0] = 0. ; s[1] = 0. ; s[2] = -2. ; break ;
case 3 : s[0] = 0. ; s[1] = 0. ; s[2] = 2. ; break ;
default : WrongNumEdge ;
}
break ;
case QUADRANGLE :
switch(NumEdge) {
case 1 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.25 ; break ;
case 2 : s[0] = 0. ; s[1] = 0. ; s[2] = -0.25 ; break ;
case 3 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.25 ; break ;
case 4 : s[0] = 0. ; s[1] = 0. ; s[2] = 0.25 ; break ;
default : WrongNumEdge ;
}
break ;
case TETRAHEDRON :
switch(NumEdge) {
case 1 : s[0] = 0. ; s[1] = -2. ; s[2] = 2. ; break ;
case 2 : s[0] = 2. ; s[1] = 0. ; s[2] = -2. ; break ;
case 3 : s[0] = -2. ; s[1] = 2. ; s[2] = 0. ; break ;
case 4 : s[0] = 0. ; s[1] = 0. ; s[2] = 2. ; break ;
case 5 : s[0] = 0. ; s[1] = -2. ; s[2] = 0. ; break ;
case 6 : s[0] = 2. ; s[1] = 0. ; s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case HEXAHEDRON :
switch(NumEdge) {
case 1 : s[0] = 0. ; s[1] = 0.125*(v-1.) ; s[2] = 0.125*(1.-w) ; break ;
case 6 : s[0] = 0. ; s[1] = 0.125*(v+1.) ; s[2] = 0.125*(1.-w) ; break ;
case 9 : s[0] = 0. ; s[1] = 0.125*(1.-v) ; s[2] = 0.125*(1.+w) ; break ;
case 12 : s[0] = 0. ; s[1] =-0.125*(v+1.) ; s[2] = 0.125*(1.+w) ; break ;
case 2 : s[0] = 0.125*(1.-u) ; s[1] = 0. ; s[2] = 0.125*(w-1.) ; break ;
case 4 : s[0] = 0.125*(1.+u) ; s[1] = 0. ; s[2] = 0.125*(1.-w) ; break ;
case 10 : s[0] = 0.125*(u-1.) ; s[1] = 0. ; s[2] =-0.125*(w+1.) ; break ;
case 11 : s[0] =-0.125*(1.+u) ; s[1] = 0. ; s[2] = 0.125*(w+1.) ; break ;
case 3 : s[0] = 0.125*(u-1.) ; s[1] = 0.125*(1.-v) ; s[2] = 0. ; break ;
case 5 : s[0] =-0.125*(u+1.) ; s[1] = 0.125*(v-1.) ; s[2] = 0. ; break ;
case 7 : s[0] = 0.125*(u+1.) ; s[1] =-0.125*(1.+v) ; s[2] = 0. ; break ;
case 8 : s[0] = 0.125*(1.-u) ; s[1] = 0.125*(1.+v) ; s[2] = 0. ; break ;
default : WrongNumEdge ;
}
break ;
case PRISM :
switch(NumEdge) {
case 1 : s[0] = 0.5*u ; s[1] = 0.5*(v-1.) ; s[2] = 1.-w ; break ;
case 2 : s[0] = 0.5*(1.-u) ; s[1] = -0.5*v ; s[2] = w-1. ; break ;
case 3 : s[0] = -0.5 ; s[1] = 0.5 ; s[2] = 0. ; break ;
case 4 : s[0] = 0.5*u ; s[1] = 0.5*v ; s[2] = 1.-w ; break ;
case 5 : s[0] = 0. ; s[1] = -0.5 ; s[2] = 0. ; break ;
case 6 : s[0] = 0.5 ; s[1] = 0. ; s[2] = 0. ; break ;
case 7 : s[0] = -0.5*u ; s[1] = 0.5*(1.-v) ; s[2] = 1.+w ; break ;
case 8 : s[0] = 0.5*(u-1.) ; s[1] = 0.5*v ; s[2] = -1.-w ; break ;
case 9 : s[0] = -0.5*u ; s[1] = -0.5*v ; s[2] = 1.+w ; break ;
default : WrongNumEdge ;
}
break ;
case PYRAMID :
if (w != 1){ switch(NumEdge) {
case 1 : s[0] = -0.25 * u / (1. - w) ; s[1] = -0.5 + 0.25 * v / (1. - w) ; s[2] = 0.25 ; break ;
case 2 : s[0] = 0.5 - 0.25 * u / (1. - w) ; s[1] = 0.25 * v / (1. - w) ; s[2] = -0.25 ; break ;
case 4 : s[0] = 0.5 + 0.25 * u / (1. - w) ; s[1] = -0.25 * v / (1. - w) ; s[2] = 0.25 ; break ;
case 6 : s[0] = -0.25 * u / (1. - w) ; s[1] = 0.5 + 0.25 * v / (1. - w) ; s[2] = 0.25 ; break ;
case 3 : s[0] = -0.5 * (1. - u / (1. - w)) ; s[1] = 0.5 * (1. - v / (1. - w)) ; s[2] = 0. ; break;
case 5 : s[0] = -0.5 * (1. + u / (1. - w)) ; s[1] = -0.5 * (1. - v / (1. - w)) ; s[2] = 0. ; break;
case 7 : s[0] = 0.5 * (1. + u / (1. - w)) ; s[1] = -0.5 * (1. + v / (1. - w)) ; s[2] = 0. ; break;
case 8 : s[0] = 0.5 * (1. - u / (1. - w)) ; s[1] = 0.5 * (1. + v / (1. - w)) ; s[2] = 0. ; break;
default : WrongNumEdge ;
}
} else {
switch(NumEdge) {
case 1 : s[0] = 0. ; s[1] = -0.5 ; s[2] = 0.25 ; break ;
case 2 : s[0] = 0.5 ; s[1] = 0. ; s[2] = -0.25 ; break ;
case 4 : s[0] = 0.5 ; s[1] = 0. ; s[2] = 0.25 ; break ;
case 6 : s[0] = 0. ; s[1] = 0.5 ; s[2] = 0.25 ; break ;
case 3 : s[0] = -0.5 ; s[1] = 0.5 ; s[2] = 0. ; break;
case 5 : s[0] = -0.5 ; s[1] = -0.5 ; s[2] = 0. ; break;
case 7 : s[0] = 0.5 ; s[1] = -0.5 ; s[2] = 0. ; break;
case 8 : s[0] = 0.5 ; s[1] = 0.5 ; s[2] = 0. ; break;
default : WrongNumEdge ;
}
}
break ;
default :
Message::Error("Unknown type of Element in BF_CurlEdge");
break;
}
if (!Element->GeoElement->NumEdges) NoEdge ;
if (Element->GeoElement->NumEdges[NumEdge-1] < 0) {
s[0] = - s[0] ; s[1] = - s[1] ; s[2] = - s[2] ;
}
}
#undef WrongNumEdge
#undef NoEdge