Sphere_related.c
/*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
*<LicenseText>
*=====================================================================
*
* CitcomS
* ---------------------------------
*
* Authors:
* Louis Moresi, Shijie Zhong, Lijie Han, Eh Tan,
* Clint Conrad, Michael Gurnis, and Eun-seo Choi
* (c) California Institute of Technology 1994-2005
*
* By downloading and/or installing this software you have
* agreed to the CitcomS.py-LICENSE bundled with this software.
* Free for non-commercial academic research ONLY.
* This program is distributed WITHOUT ANY WARRANTY whatsoever.
*
*=====================================================================
*
* Copyright June 2005, by the California Institute of Technology.
* ALL RIGHTS RESERVED. United States Government Sponsorship Acknowledged.
*
* Any commercial use must be negotiated with the Office of Technology
* Transfer at the California Institute of Technology. This software
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*=====================================================================
*</LicenseText>
*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*/
/* Functions relating to the building and use of mesh locations ... */
#include <math.h>
#include <sys/types.h>
#include "element_definitions.h"
#include "global_defs.h"
void coord_of_cap(E,m,icap)
struct All_variables *E;
int icap,m;
{
int i,j,k,lev,temp,elx,ely,nox,noy,noz,node,nodes;
int lelx,lely,lnox,lnoy,lnoz;
double x[5],y[5],z[5],xx[5],yy[5],zz[5];
double *theta1,*fi1,*theta2,*fi2,*theta,*fi,*SX[2];
double myatan();
void even_divide_arc12();
temp = max(E->mesh.NOY[E->mesh.levmax],E->mesh.NOX[E->mesh.levmax]);
theta1 = (double *)malloc((temp+1)*sizeof(double));
fi1 = (double *)malloc((temp+1)*sizeof(double));
theta2 = (double *)malloc((temp+1)*sizeof(double));
fi2 = (double *)malloc((temp+1)*sizeof(double));
theta = (double *)malloc((temp+1)*sizeof(double));
fi = (double *)malloc((temp+1)*sizeof(double));
temp = E->mesh.NOY[E->mesh.levmax]*E->mesh.NOX[E->mesh.levmax]; /* allocate enough for the entire cap */
SX[0] = (double *)malloc((temp+1)*sizeof(double));
SX[1] = (double *)malloc((temp+1)*sizeof(double));
for (i=1;i<=4;i++) {
x[i] = sin(E->sphere.cap[icap].theta[i])*cos(E->sphere.cap[icap].fi[i]);
y[i] = sin(E->sphere.cap[icap].theta[i])*sin(E->sphere.cap[icap].fi[i]);
z[i] = cos(E->sphere.cap[icap].theta[i]);
}
for (lev=E->mesh.levmin;lev<=E->mesh.levmax;lev++) {
elx = E->lmesh.ELX[lev]*E->parallel.nprocx;
ely = E->lmesh.ELY[lev]*E->parallel.nprocy;
nox = elx+1;
noy = ely+1;
lelx = E->lmesh.ELX[lev];
lely = E->lmesh.ELY[lev];
lnox = lelx+1;
lnoy = lely+1;
lnoz = E->lmesh.NOZ[lev];
/* evenly divide arc linking 1 and 2, and the arc linking 4 and 3 */
even_divide_arc12(elx,x[1],y[1],z[1],x[2],y[2],z[2],theta1,fi1);
even_divide_arc12(elx,x[4],y[4],z[4],x[3],y[3],z[3],theta2,fi2);
for (j=1;j<=nox;j++) {
/* pick up the two ends */
xx[1] = sin(theta1[j])*cos(fi1[j]);
yy[1] = sin(theta1[j])*sin(fi1[j]);
zz[1] = cos(theta1[j]);
xx[2] = sin(theta2[j])*cos(fi2[j]);
yy[2] = sin(theta2[j])*sin(fi2[j]);
zz[2] = cos(theta2[j]);
even_divide_arc12(ely,xx[1],yy[1],zz[1],xx[2],yy[2],zz[2],theta,fi);
for (k=1;k<=noy;k++) {
nodes = j + (k-1)*nox;
SX[0][nodes] = theta[k];
SX[1][nodes] = fi[k];
}
} /* end for j */
/* get the coordinates for the entire cap */
for (j=1;j<=lnox;j++)
for (k=1;k<=lnoy;k++) {
nodes = (j+(E->lmesh.NXS[lev]-1))+(k-1+(E->lmesh.NYS[lev]-1))*nox;
for (i=1;i<=lnoz;i++) {
node = i + (j-1)*lnoz + (k-1)*lnox*lnoz;
/* theta,fi,and r coordinates */
E->SX[lev][m][1][node] = SX[0][nodes];
E->SX[lev][m][2][node] = SX[1][nodes];
E->SX[lev][m][3][node] = E->sphere.R[lev][i];
/* x,y,and z oordinates */
E->X[lev][m][1][node] =
E->sphere.R[lev][i]*sin(SX[0][nodes])*cos(SX[1][nodes]);
E->X[lev][m][2][node] =
E->sphere.R[lev][i]*sin(SX[0][nodes])*sin(SX[1][nodes]);
E->X[lev][m][3][node] =
E->sphere.R[lev][i]*cos(SX[0][nodes]);
}
}
} /* end for lev */
free ((void *)SX[0]);
free ((void *)SX[1]);
free ((void *)theta );
free ((void *)theta1);
free ((void *)theta2);
free ((void *)fi );
free ((void *)fi1 );
free ((void *)fi2 );
return;
}
/* =================================================
this routine evenly divides the arc between points
1 and 2 in a great cicle. The word "evenly" means
anglewise evenly.
=================================================*/
void even_divide_arc12(elx,x1,y1,z1,x2,y2,z2,theta,fi)
double x1,y1,z1,x2,y2,z2,*theta,*fi;
int elx;
{
double dx,dy,dz,xx,yy,zz,myatan();
int j, nox;
nox = elx+1;
dx = (x2 - x1)/elx;
dy = (y2 - y1)/elx;
dz = (z2 - z1)/elx;
for (j=1;j<=nox;j++) {
xx = x1 + dx*(j-1) + 5.0e-32;
yy = y1 + dy*(j-1);
zz = z1 + dz*(j-1);
theta[j] = acos(zz/sqrt(xx*xx+yy*yy+zz*zz));
fi[j] = myatan(yy,xx);
}
return;
}
/* =================================================
rotate the mesh
=================================================*/
void rotate_mesh(E,m,icap)
struct All_variables *E;
int icap,m;
{
int i,lev;
double t[4],myatan();
for (lev=E->mesh.levmin;lev<=E->mesh.levmax;lev++) {
for (i=1;i<=E->lmesh.NNO[lev];i++) {
t[0] = E->X[lev][m][1][i]*E->sphere.dircos[1][1]+
E->X[lev][m][2][i]*E->sphere.dircos[1][2]+
E->X[lev][m][3][i]*E->sphere.dircos[1][3];
t[1] = E->X[lev][m][1][i]*E->sphere.dircos[2][1]+
E->X[lev][m][2][i]*E->sphere.dircos[2][2]+
E->X[lev][m][3][i]*E->sphere.dircos[2][3];
t[2] = E->X[lev][m][1][i]*E->sphere.dircos[3][1]+
E->X[lev][m][2][i]*E->sphere.dircos[3][2]+
E->X[lev][m][3][i]*E->sphere.dircos[3][3];
E->X[lev][m][1][i] = t[0];
E->X[lev][m][2][i] = t[1];
E->X[lev][m][3][i] = t[2];
E->SX[lev][m][1][i] = acos(t[2]/E->SX[lev][m][3][i]);
E->SX[lev][m][2][i] = myatan(t[1],t[0]);
}
} /* lev */
return;
}
