##### https://github.com/geodynamics/citcoms
Tip revision: b5721c1
Nodal_mesh.c
``````/*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
*
* CitcomS by Louis Moresi, Shijie Zhong, Lijie Han, Eh Tan,
* Clint Conrad, Michael Gurnis, and Eun-seo Choi.
* Copyright (C) 1994-2005, California Institute of Technology.
*
* 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
*
*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*/
/* 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"

/* get nodal spherical velocities from the solution vector */
void v_from_vector(struct All_variables *E)
{
int m,node;
const int nno = E->lmesh.nno;

for (m=1;m<=E->sphere.caps_per_proc;m++)   {
for(node=1;node<=nno;node++)     {
E->sphere.cap[m].V[1][node] = E->U[m][E->id[m][node].doff[1]];
E->sphere.cap[m].V[2][node] = E->U[m][E->id[m][node].doff[2]];
E->sphere.cap[m].V[3][node] = E->U[m][E->id[m][node].doff[3]];
if (E->node[m][node] & VBX)
E->sphere.cap[m].V[1][node] = E->sphere.cap[m].VB[1][node];
if (E->node[m][node] & VBY)
E->sphere.cap[m].V[2][node] = E->sphere.cap[m].VB[2][node];
if (E->node[m][node] & VBZ)
E->sphere.cap[m].V[3][node] = E->sphere.cap[m].VB[3][node];
}
}

return;
}

void assign_v_to_vector(struct All_variables *E)
{
int m,node;
const int nno = E->lmesh.nno;

for (m=1;m<=E->sphere.caps_per_proc;m++)   {
for(node=1;node<=nno;node++)     {
E->U[m][E->id[m][node].doff[1]] =  E->sphere.cap[m].V[1][node];
E->U[m][E->id[m][node].doff[2]] =  E->sphere.cap[m].V[2][node];
E->U[m][E->id[m][node].doff[3]] =  E->sphere.cap[m].V[3][node];
}
}
return;
}

void v_from_vector_pseudo_surf(struct All_variables *E)
{
int m,node;

const int nno = E->lmesh.nno;
double sum_V = 0.0, sum_dV = 0.0, rel_error = 0.0, global_max_error = 0.0;
double tol_error = 1.0e-03;

for (m=1;m<=E->sphere.caps_per_proc;m++)   {
for(node=1;node<=nno;node++)     {
E->sphere.cap[m].Vprev[1][node] = E->sphere.cap[m].V[1][node];
E->sphere.cap[m].Vprev[2][node] = E->sphere.cap[m].V[2][node];
E->sphere.cap[m].Vprev[3][node] = E->sphere.cap[m].V[3][node];

E->sphere.cap[m].V[1][node] = E->U[m][E->id[m][node].doff[1]];
E->sphere.cap[m].V[2][node] = E->U[m][E->id[m][node].doff[2]];
E->sphere.cap[m].V[3][node] = E->U[m][E->id[m][node].doff[3]];
if (E->node[m][node] & VBX)
E->sphere.cap[m].V[1][node] = E->sphere.cap[m].VB[1][node];
if (E->node[m][node] & VBY)
E->sphere.cap[m].V[2][node] = E->sphere.cap[m].VB[2][node];
if (E->node[m][node] & VBZ)
E->sphere.cap[m].V[3][node] = E->sphere.cap[m].VB[3][node];

sum_dV += (E->sphere.cap[m].V[1][node] - E->sphere.cap[m].Vprev[1][node])*(E->sphere.cap[m].V[1][node] - E->sphere.cap[m].Vprev[1][node])
+ (E->sphere.cap[m].V[2][node] - E->sphere.cap[m].Vprev[2][node])*(E->sphere.cap[m].V[2][node] - E->sphere.cap[m].Vprev[2][node])
+ (E->sphere.cap[m].V[3][node] - E->sphere.cap[m].Vprev[3][node])*(E->sphere.cap[m].V[3][node] - E->sphere.cap[m].Vprev[3][node]);
sum_V += E->sphere.cap[m].V[1][node]*E->sphere.cap[m].V[1][node]
+ E->sphere.cap[m].V[2][node]*E->sphere.cap[m].V[2][node]
+ E->sphere.cap[m].V[3][node]*E->sphere.cap[m].V[3][node];
}
rel_error = sqrt(sum_dV)/sqrt(sum_V);
MPI_Allreduce(&rel_error,&global_max_error,1,MPI_DOUBLE,MPI_MAX,E->parallel.world);
if(global_max_error <= tol_error) E->monitor.stop_topo_loop = 1;
if(E->parallel.me==0)
fprintf(stderr,"global_max_error=%e stop_topo_loop=%d\n",global_max_error,E->monitor.stop_topo_loop);

}

return;
}
/* cartesian velocities within element, single prec version */
void velo_from_element(struct All_variables *E, float VV[4][9], int m, int el, int sphere_key)
{

int a, node;
double sint, cost, sinf, cosf;
const int ends=enodes[E->mesh.nsd];
const int lev=E->mesh.levmax;

if (sphere_key)
for(a=1;a<=ends;a++)   {
node = E->ien[m][el].node[a];
VV[1][a] = E->sphere.cap[m].V[1][node];
VV[2][a] = E->sphere.cap[m].V[2][node];
VV[3][a] = E->sphere.cap[m].V[3][node];
}
else {
for(a=1;a<=ends;a++)   {
node = E->ien[m][el].node[a];

sint = E->SinCos[lev][m][0][node];
sinf = E->SinCos[lev][m][1][node];
cost = E->SinCos[lev][m][2][node];
cosf = E->SinCos[lev][m][3][node];

VV[1][a] = E->sphere.cap[m].V[1][node]*cost*cosf
- E->sphere.cap[m].V[2][node]*sinf
+ E->sphere.cap[m].V[3][node]*sint*cosf;
VV[2][a] = E->sphere.cap[m].V[1][node]*cost*sinf
+ E->sphere.cap[m].V[2][node]*cosf
+ E->sphere.cap[m].V[3][node]*sint*sinf;
VV[3][a] = -E->sphere.cap[m].V[1][node]*sint
+ E->sphere.cap[m].V[3][node]*cost;
}
}
return;
}

/* double prec version */
void velo_from_element_d(struct All_variables *E, CartesianCoord VV[9], int m, int el, int sphere_key)
{

int a, node;
double sint, cost, sinf, cosf;
const int dims=E->mesh.nsd;
const int ends=enodes[E->mesh.nsd];
const int nno=E->lmesh.nno;
const int lev=E->mesh.levmax;

if (sphere_key)
for(a=1;a<=ends;a++)   {
node = E->ien[m][el].node[a];
VV[a] = CartesianCoord(E->sphere.cap[m].V[1][node],
E->sphere.cap[m].V[2][node],
E->sphere.cap[m].V[3][node]);
}
else {
for(a=1;a<=ends;a++)   {
node = E->ien[m][el].node[a];

sint = E->SinCos[lev][m][0][node];
sinf = E->SinCos[lev][m][1][node];
cost = E->SinCos[lev][m][2][node];
cosf = E->SinCos[lev][m][3][node];

VV[a] = CartesianCoord(E->sphere.cap[m].V[1][node]*cost*cosf
- E->sphere.cap[m].V[2][node]*sinf
+ E->sphere.cap[m].V[3][node]*sint*cosf,
E->sphere.cap[m].V[1][node]*cost*sinf
+ E->sphere.cap[m].V[2][node]*cosf
+ E->sphere.cap[m].V[3][node]*sint*sinf,
-E->sphere.cap[m].V[1][node]*sint
+ E->sphere.cap[m].V[3][node]*cost);
}
}
}

void p_to_nodes(struct All_variables *E, double **P, float **PN, int lev)

{ int e,element,node,j,m;

for (m=1;m<=E->sphere.caps_per_proc;m++)
for(node=1;node<=E->lmesh.NNO[lev];node++)
PN[m][node] =  0.0;

for (m=1;m<=E->sphere.caps_per_proc;m++)
for(element=1;element<=E->lmesh.NEL[lev];element++)
for(j=1;j<=enodes[E->mesh.nsd];j++)  {
node = E->IEN[lev][m][element].node[j];
PN[m][node] += P[m][element] * E->TWW[lev][m][element].node[j] ;
}

(E->exchange_node_f)(E,PN,lev);

for(m=1;m<=E->sphere.caps_per_proc;m++)
for(node=1;node<=E->lmesh.NNO[lev];node++)
PN[m][node] *= E->MASS[lev][m][node];

return;
}

/*

interpolate the viscosity from element integration points to nodes

*/
void visc_from_gint_to_nodes(struct All_variables *E, float **VE, float **VN, int lev)
{
int m,e,i,j,k,n,off,lim;
const int nsd=E->mesh.nsd;
const int vpts=vpoints[nsd];
const int ends=enodes[nsd];
double temp_visc;

for (m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=E->lmesh.NNO[lev];i++)
VN[m][i] = 0.0;
for (m=1;m<=E->sphere.caps_per_proc;m++)
for(e=1;e<=E->lmesh.NEL[lev];e++)   {
temp_visc=0.0;
for(i=1;i<=vpts;i++)
temp_visc += VE[m][(e-1)*vpts + i];
temp_visc = temp_visc/vpts;

for(j=1;j<=ends;j++)                {
n = E->IEN[lev][m][e].node[j];
VN[m][n] += E->TWW[lev][m][e].node[j] * temp_visc;
}
}
(E->exchange_node_f)(E,VN,lev);
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(n=1;n<=E->lmesh.NNO[lev];n++)
VN[m][n] *= E->MASS[lev][m][n];

return;
}

/*

interpolate viscosity from nodes to element integration points

*/
void visc_from_nodes_to_gint(struct All_variables *E, float **VN, float **VE, int lev)
{

int m,e,i,j,k,n,off;
const int nsd=E->mesh.nsd;
const int vpts=vpoints[nsd];
const int ends=enodes[nsd];
double temp_visc;

for (m=1;m<=E->sphere.caps_per_proc;m++)
for(e=1;e<=E->lmesh.NEL[lev];e++)
for(i=1;i<=vpts;i++)
VE[m][(e-1)*vpts+i] = 0.0;
for (m=1;m<=E->sphere.caps_per_proc;m++)
for(e=1;e<=E->lmesh.NEL[lev];e++)
for(i=1;i<=vpts;i++)      {
temp_visc=0.0;
for(j=1;j<=ends;j++)
temp_visc += E->N.vpt[GNVINDEX(j,i)]*VN[m][E->IEN[lev][m][e].node[j]];
VE[m][(e-1)*vpts+i] = temp_visc;
}

return;
}

/* called from MG as  (?)

visc_from_gint_to_ele(E,E->EVI[lv],viscU,lv)

*/
void visc_from_gint_to_ele(struct All_variables *E, float **VE, float **VN, int lev)
{
int m,e,i,j,k,n,off;
const int nsd=E->mesh.nsd;
const int vpts=vpoints[nsd];
const int ends=enodes[nsd];
double temp_visc;

for (m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=E->lmesh.NEL[lev];i++)
VN[m][i] = 0.0;
for (m=1;m<=E->sphere.caps_per_proc;m++)
for(e=1;e<=E->lmesh.NEL[lev];e++)   {
temp_visc=0.0;
for(i=1;i<=vpts;i++)
temp_visc += VE[m][(e-1)*vpts + i];
temp_visc = temp_visc/vpts;
VN[m][e] = temp_visc;
}

return;
}

/* called from MG as

visc_from_ele_to_gint(E,viscD,E->EVI[sl_minus],sl_minus);

*/

void visc_from_ele_to_gint(struct All_variables *E, float **VN, float **VE, int lev)
{
int m,e,i,j,k,n,off;
const int nsd=E->mesh.nsd;
const int vpts=vpoints[nsd];
const int ends=enodes[nsd];
double temp_visc;

for (m=1;m<=E->sphere.caps_per_proc;m++)
for(e=1;e<=E->lmesh.NEL[lev];e++)
for(i=1;i<=vpts;i++)      {
VE[m][(e-1)*vpts+i] = VN[m][e];
}
return;
}
``````