Revision 92578b2c85837ed13be8920e9cc1ebc652ded684 authored by Rajesh Kommu on 24 September 2014, 21:18:55 UTC, committed by Rajesh Kommu on 24 September 2014, 21:18:55 UTC
1 parent 8d1e7ae
Material_properties.c
/*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
*<LicenseText>
*
* 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
*
*</LicenseText>
*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*/
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif
#include <math.h>
#include "global_defs.h"
#include "material_properties.h"
#include "parallel_related.h"
static void read_refstate(struct All_variables *E);
static void adams_williamson_eos(struct All_variables *E);
static void murnaghan_eos(struct All_variables *E);
int layers_r(struct All_variables *,float);
void myerror(struct All_variables *E,char *message);
void mat_prop_allocate(struct All_variables *E)
{
int noz = E->lmesh.noz;
int nno = E->lmesh.nno;
int nel = E->lmesh.nel;
/* reference profile of density */
E->refstate.rho = (double *) malloc((noz+1)*sizeof(double));
/* reference profile of gravity */
E->refstate.gravity = (double *) malloc((noz+1)*sizeof(double));
/* reference profile of coefficient of thermal expansion */
E->refstate.thermal_expansivity = (double *) malloc((noz+1)*sizeof(double));
/* reference profile of heat capacity */
E->refstate.heat_capacity = (double *) malloc((noz+1)*sizeof(double));
/* reference profile of thermal conductivity */
/*E->refstate.thermal_conductivity = (double *) malloc((noz+1)*sizeof(double));*/
/* reference profile of temperature */
/*E->refstate.Tadi = (double *) malloc((noz+1)*sizeof(double));*/
}
void reference_state(struct All_variables *E)
{
int i;
/* All refstate variables (except Tadi) must be 1 at the surface.
* Otherwise, the scaling of eqns in the code might not be correct. */
/* select the choice of reference state */
switch(E->refstate.choice) {
case 0:
/* read from a file */
read_refstate(E);
break;
case 1:
/* Adams-Williamson EoS */
adams_williamson_eos(E);
break;
case 2:
/* Murnaghan's integrated linear EoS + constant Gruneisen parameter */
murnaghan_eos(E);
break;
default:
if (E->parallel.me) {
fprintf(stderr, "Unknown option for reference state\n");
fprintf(E->fp, "Unknown option for reference state\n");
fflush(E->fp);
}
parallel_process_termination();
}
if(E->parallel.me == 0) {
fprintf(stderr, " nz radius depth rho layer\n");
}
if(E->parallel.me < E->parallel.nprocz)
for(i=1; i<=E->lmesh.noz; i++) {
fprintf(stderr, "%6d %11f %11f %11e %5i\n",
i+E->lmesh.nzs-1, E->sx[3][i], 1-E->sx[3][i],
E->refstate.rho[i],layers_r(E,E->sx[3][i]));
}
}
static void read_refstate(struct All_variables *E)
{
FILE *fp;
int i;
char buffer[255];
double not_used1, not_used2, not_used3;
fp = fopen(E->refstate.filename, "r");
if(fp == NULL) {
fprintf(stderr, "Cannot open reference state file: %s\n",
E->refstate.filename);
parallel_process_termination();
}
/* skip these lines, which belong to other processors */
for(i=1; i<E->lmesh.nzs; i++) {
fgets(buffer, 255, fp);
}
for(i=1; i<=E->lmesh.noz; i++) {
fgets(buffer, 255, fp);
if(sscanf(buffer, "%lf %lf %lf %lf %lf %lf %lf\n",
&(E->refstate.rho[i]),
&(E->refstate.gravity[i]),
&(E->refstate.thermal_expansivity[i]),
&(E->refstate.heat_capacity[i]),
¬_used1,
¬_used2,
¬_used3) != 7) {
fprintf(stderr,"Error while reading file '%s'\n", E->refstate.filename);
exit(8);
}
/**** debug ****
fprintf(stderr, "%d %f %f %f %f\n",
i,
E->refstate.rho[i],
E->refstate.gravity[i],
E->refstate.thermal_expansivity[i],
E->refstate.heat_capacity[i]);
end of debug */
}
fclose(fp);
}
static void adams_williamson_eos(struct All_variables *E)
{
int i;
double r, z, beta;
beta = E->control.disptn_number * E->control.inv_gruneisen;
for(i=1; i<=E->lmesh.noz; i++) {
r = E->sx[3][i];
z = 1 - r;
E->refstate.rho[i] = exp(beta*z);
E->refstate.gravity[i] = 1;
E->refstate.thermal_expansivity[i] = 1;
E->refstate.heat_capacity[i] = 1;
/*E->refstate.thermal_conductivity[i] = 1;*/
/*E->refstate.Tadi[i] = (E->control.adiabaticT0 + E->control.surface_temp) * exp(E->control.disptn_number * z) - E->control.surface_temp;*/
}
}
static void murnaghan_eos(struct All_variables *E)
{
/* Reference: Murnaghan (1967), Finite Deformation of an Elastic Solid.
Let K0' = dK/dP at P=0
beta = dissipation number / Gruniesen parameter
dP = rho * g * dr
rho = rho0 * (1 + P * K0' / K0)^(1/K0')
==> non-dimensionalization
rho = rho0 * (1 + beta * P * K0')^(1/K0')
The non-linear ODE is intergated repeatedly to find
convergence solution.
Assuming Gruneisen parameter and Cp are constant:
alpha = gamma * Cp * rho / Ks
*/
const double k0p = 3.5;
const double beta = E->control.disptn_number * E->control.inv_gruneisen;
double *r, *rho, *p;
const int gnoz = E->mesh.noz;
int count = 0;
int i, j;
double old_rho_cmb, diff;
const double acc = 1e-8;
rho = (double *) malloc((gnoz+1)*sizeof(double));
p = (double *) malloc((gnoz+1)*sizeof(double));
if(rho == NULL || p == NULL) {
myerror(E, "allocating memory in murnaghan_eos()");
}
for(i=1; i<=gnoz; i++) {
rho[i] = 1;
p[i] = 0;
}
r = E->sphere.gr;
old_rho_cmb = 0;
do {
/* integrate downward from surface to CMB */
for(i=gnoz-1; i>0; i--) {
p[i] = p[i+1] + 0.5 * (rho[i] + rho[i+1]) * (r[i+1] - r[i]);
rho[i] = rho[gnoz] * pow(1 + beta * k0p * p[i], 1.0/k0p);
}
diff = fabs(rho[1] - old_rho_cmb);
old_rho_cmb = rho[1];
count ++;
/* The loop should converge within 50 iterations
with reasonable beta and K0p */
if(count > 50) myerror(E, "Murnaghan EoS cannot converge");
} while(diff > acc);
/*
if(E->parallel.me == 0) {
fprintf(stderr, "%d iterations\n", count);
for(i=gnoz; i>0; i--) {
fprintf(stderr, "%d %e %e %e\n", i, r[i], p[i], rho[i]);
}
}
*/
for(i=1, j=E->lmesh.nzs; i<=E->lmesh.noz; i++, j++) {
double ks;
E->refstate.rho[i] = rho[j];
E->refstate.gravity[i] = 1;
E->refstate.heat_capacity[i] = 1;
ks = pow(rho[j]/rho[gnoz], k0p);
E->refstate.thermal_expansivity[i] = rho[j] / ks;
/*E->refstate.thermal_conductivity[i] = 1;*/
/*E->refstate.Tadi[i] = (E->control.adiabaticT0 + E->control.surface_temp) * exp(E->control.disptn_number * z) - E->control.surface_temp;*/
}
free(rho);
free(p);
}
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