Revision 0ec850bd14ca8ea20bec5529cc74a344c05fe5c4 authored by Rajesh Kommu on 17 September 2014, 17:13:52 UTC, committed by Rajesh Kommu on 17 September 2014, 17:13:52 UTC
1 parent 52e2cfd
Viscosity_structures.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>
*
*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*/
/* Functions relating to the determination of viscosity field either
as a function of the run, as an initial condition or as specified from
a previous file */
#include <math.h>
#include <sys/types.h>
#include "element_definitions.h"
#include "global_defs.h"
#include "parsing.h"
void myerror(struct All_variables *,char *);
void allocate_visc_vars(struct All_variables *E);
void read_visc_layer_file(struct All_variables *E);
void read_visc_param_from_file(struct All_variables *E,
const char *param, float *var,
FILE *fp);
static void apply_low_visc_wedge_channel(struct All_variables *E, float **evisc);
static void low_viscosity_channel_factor(struct All_variables *E, float *F);
static void low_viscosity_wedge_factor(struct All_variables *E, float *F);
void parallel_process_termination();
#ifdef CITCOM_ALLOW_ANISOTROPIC_VISC
#include "anisotropic_viscosity.h"
#endif
void viscosity_system_input(struct All_variables *E)
{
int m=E->parallel.me;
int i;
input_boolean("VISC_UPDATE",&(E->viscosity.update_allowed),"on",m);
input_boolean("visc_layer_control",&(E->viscosity.layer_control),"off",m);
input_string("visc_layer_file", E->viscosity.layer_file,"visc.dat",m);
input_int("allow_anisotropic_viscosity",&(E->viscosity.allow_anisotropic_viscosity),"0",m);
#ifndef CITCOM_ALLOW_ANISOTROPIC_VISC
if(E->viscosity.allow_anisotropic_viscosity){ /* error */
fprintf(stderr,"error: allow_anisotropic_viscosity is not zero, but code not compiled with CITCOM_ALLOW_ANISOTROPIC_VISC\n");
parallel_process_termination();
}
#else
if(E->viscosity.allow_anisotropic_viscosity){ /* read additional
parameters for
anisotropic
viscosity */
input_int("anisotropic_init",&(E->viscosity.anisotropic_init),"0",m); /* 0: isotropic
1: random
2: read in director orientation
and log10(eta_s/eta)
3: align with velocity, use ani_vis2_factor for eta_s/eta
4: align with ISA, use ani_vis2_factor for eta_s/eta
5: align mixed depending on deformation state, use ani_vis2_factor for eta_s/eta
6: use radially aligned director and taper eta_s/eta from base (1) to top of layer (ani_vis2_factor)
*/
input_string("anisotropic_init_dir",(E->viscosity.anisotropic_init_dir),"",m); /* directory
for
ggrd
type
init */
input_int("anivisc_layer",&(E->viscosity.anivisc_layer),"1",m); /* >0: assign to layers on top of anivisc_layer
<0: assign to layer = anivisc_layer
*/
if((E->viscosity.anisotropic_init == 6) && (E->viscosity.anivisc_layer >= 0))
myerror(E,"anisotropic init mode 6 requires selection of layer where anisotropy applies");
input_boolean("anivisc_start_from_iso",
&(E->viscosity.anivisc_start_from_iso),"on",m); /* start
from
isotropic
solution? */
if(!E->viscosity.anivisc_start_from_iso)
if(E->viscosity.anisotropic_init == 3){
if(E->parallel.me == 0)fprintf(stderr,"WARNING: overriding anisotropic first step for ani init mode\n");
E->viscosity.anivisc_start_from_iso = TRUE;
}
/* ratio between weak and strong direction */
input_double("ani_vis2_factor",&(E->viscosity.ani_vis2_factor),"1.0",m);
}
#endif
/* allocate memory here */
allocate_visc_vars(E);
for(i=0;i < E->viscosity.num_mat;i++)
E->viscosity.N0[i]=1.0;
input_float_vector("visc0",E->viscosity.num_mat,(E->viscosity.N0),m);
input_boolean("TDEPV",&(E->viscosity.TDEPV),"on",m);
input_int("rheol",&(E->viscosity.RHEOL),"3",m);
if (E->viscosity.TDEPV) {
for(i=0;i < E->viscosity.num_mat;i++) {
E->viscosity.T[i] = 0.0;
E->viscosity.Z[i] = 0.0;
E->viscosity.E[i] = 0.0;
}
input_float_vector("viscT",E->viscosity.num_mat,(E->viscosity.T),m);
input_float_vector("viscE",E->viscosity.num_mat,(E->viscosity.E),m);
input_float_vector("viscZ",E->viscosity.num_mat,(E->viscosity.Z),m);
/* for viscosity 8 */
input_float("T_sol0",&(E->viscosity.T_sol0),"0.6",m);
input_float("ET_red",&(E->viscosity.ET_red),"0.1",m);
}
E->viscosity.sdepv_misfit = 1.0;
input_boolean("SDEPV",&(E->viscosity.SDEPV),"off",m);
if (E->viscosity.SDEPV) {
E->viscosity.sdepv_visited = 0;
input_float_vector("sdepv_expt",E->viscosity.num_mat,(E->viscosity.sdepv_expt),m);
}
input_boolean("PDEPV",&(E->viscosity.PDEPV),"off",m); /* plasticity addition by TWB */
if (E->viscosity.PDEPV) {
E->viscosity.pdepv_visited = 0;
for(i=0;i < E->viscosity.num_mat;i++) {
E->viscosity.pdepv_a[i] = 1.e20; /* \sigma_y = min(a + b * (1-r),y) */
E->viscosity.pdepv_b[i] = 0.0;
E->viscosity.pdepv_y[i] = 1.e20;
}
input_boolean("psrw",&(E->viscosity.psrw),"off",m); /* SRW? else regular plasiticity */
input_boolean("pdepv_eff",&(E->viscosity.pdepv_eff),"on",m); /* effective
or
min/max
approach */
input_float_vector("pdepv_a",E->viscosity.num_mat,(E->viscosity.pdepv_a),m);
input_float_vector("pdepv_b",E->viscosity.num_mat,(E->viscosity.pdepv_b),m);
input_float_vector("pdepv_y",E->viscosity.num_mat,(E->viscosity.pdepv_y),m);
input_float("pdepv_offset",&(E->viscosity.pdepv_offset),"0.0",m);
}
input_float("sdepv_misfit",&(E->viscosity.sdepv_misfit),"0.001",m); /* there should be no harm in having
this parameter read in regardless of
rheology (activated it for anisotropic viscosity)
*/
// moved to Composition related, for init purposes
//input_boolean("CDEPV",&(E->viscosity.CDEPV),"off",m);
for(i=0;i<10;i++)
E->viscosity.cdepv_ff[i] = 1.0; /* flavor factors for CDEPV */
if(E->viscosity.CDEPV){
/* compositional viscosity */
if(E->control.tracer < 1){
fprintf(stderr,"error: CDEPV requires tracers, but tracer is off\n");
parallel_process_termination();
}
if(E->trace.nflavors > 10)
myerror(E,"error: too many flavors for CDEPV");
/* read in flavor factors */
input_float_vector("cdepv_ff",E->trace.nflavors,
(E->viscosity.cdepv_ff),m);
/* and take the log because we're using a geometric avg */
for(i=0;i<E->trace.nflavors;i++)
E->viscosity.cdepv_ff[i] = log(E->viscosity.cdepv_ff[i]);
}
input_boolean("low_visc_channel",&(E->viscosity.channel),"off",m);
input_boolean("low_visc_wedge",&(E->viscosity.wedge),"off",m);
input_float("lv_min_radius",&(E->viscosity.lv_min_radius),"0.9764",m);
input_float("lv_max_radius",&(E->viscosity.lv_max_radius),"0.9921",m);
input_float("lv_channel_thickness",&(E->viscosity.lv_channel_thickness),"0.0047",m);
input_float("lv_reduction",&(E->viscosity.lv_reduction),"0.5",m);
input_boolean("use_ne_visc_smooth",&(E->viscosity.SMOOTH),"off",m);
input_boolean("VMAX",&(E->viscosity.MAX),"off",m);
if (E->viscosity.MAX)
input_float("visc_max",&(E->viscosity.max_value),"1e22,1,nomax",m);
input_boolean("VMIN",&(E->viscosity.MIN),"off",m);
if (E->viscosity.MIN)
input_float("visc_min",&(E->viscosity.min_value),"1e20",m);
return;
}
void viscosity_input(struct All_variables *E)
{
int m = E->parallel.me;
input_string("Viscosity",E->viscosity.STRUCTURE,"system",m);
input_int ("visc_smooth_method",&(E->viscosity.smooth_cycles),"0",m);
if ( strcmp(E->viscosity.STRUCTURE,"system") == 0)
E->viscosity.FROM_SYSTEM = 1;
else
E->viscosity.FROM_SYSTEM = 0;
if (E->viscosity.FROM_SYSTEM)
viscosity_system_input(E);
return;
}
void allocate_visc_vars(struct All_variables *E)
{
int i,j,k,lim,nel,nno;
if(E->viscosity.layer_control) {
/* noz is already defined, but elz is undefined yet */
i = E->mesh.noz - 1;
} else {
i = E->viscosity.num_mat;
}
E->viscosity.N0 = (float*) malloc(i*sizeof(float));
E->viscosity.E = (float*) malloc(i*sizeof(float));
E->viscosity.T = (float*) malloc(i*sizeof(float));
E->viscosity.Z = (float*) malloc(i*sizeof(float));
E->viscosity.pdepv_a = (float*) malloc(i*sizeof(float));
E->viscosity.pdepv_b = (float*) malloc(i*sizeof(float));
E->viscosity.pdepv_y = (float*) malloc(i*sizeof(float));
E->viscosity.sdepv_expt = (float*) malloc(i*sizeof(float));
if(E->viscosity.N0 == NULL ||
E->viscosity.E == NULL ||
E->viscosity.T == NULL ||
E->viscosity.Z == NULL ||
E->viscosity.pdepv_a == NULL ||
E->viscosity.pdepv_b == NULL ||
E->viscosity.pdepv_y == NULL ||
E->viscosity.sdepv_expt == NULL) {
fprintf(stderr, "Error: Cannot allocate visc memory, rank=%d\n",
E->parallel.me);
parallel_process_termination();
}
}
/* ============================================ */
/*
when called from Drive_solvers:
evisc = E->EVI[E->mesh.levmax]
visc = E->VI[E->mesh.levmax]
*/
void get_system_viscosity(E,propogate,evisc,visc)
struct All_variables *E;
int propogate;
float **evisc,**visc;
{
void visc_from_mat();
void visc_from_T();
void visc_from_S();
void visc_from_P();
void visc_from_C();
void apply_viscosity_smoother();
void visc_from_gint_to_nodes();
void visc_from_nodes_to_gint();
int i,j,m;
float temp1,temp2,*vvvis;
double *TG;
const int vpts = vpoints[E->mesh.nsd];
#ifdef CITCOM_ALLOW_ANISOTROPIC_VISC
if(E->viscosity.allow_anisotropic_viscosity){
if(!E->viscosity.anisotropic_viscosity_init)
set_anisotropic_viscosity_at_element_level(E,1);
else
set_anisotropic_viscosity_at_element_level(E,0);
}
#endif
if(E->viscosity.TDEPV)
visc_from_T(E,evisc,propogate);
else
visc_from_mat(E,evisc);
if(E->viscosity.CDEPV) /* compositional prefactor */
visc_from_C(E,evisc);
if(E->viscosity.SDEPV)
visc_from_S(E,evisc,propogate);
if(E->viscosity.PDEPV) /* "plasticity" */
visc_from_P(E,evisc);
/* i think this should me placed differently i.e. before the
stress dependence but I won't change it because it's by
someone else
TWB
*/
if(E->viscosity.channel || E->viscosity.wedge)
apply_low_visc_wedge_channel(E, evisc);
/* min/max cut-off */
if(E->viscosity.MAX) {
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=E->lmesh.nel;i++)
for(j=1;j<=vpts;j++)
if(evisc[CPPR][(i-1)*vpts + j] > E->viscosity.max_value)
evisc[CPPR][(i-1)*vpts + j] = E->viscosity.max_value;
}
if(E->viscosity.MIN) {
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=E->lmesh.nel;i++)
for(j=1;j<=vpts;j++)
if(evisc[CPPR][(i-1)*vpts + j] < E->viscosity.min_value)
evisc[CPPR][(i-1)*vpts + j] = E->viscosity.min_value;
}
if (E->control.verbose) {
fprintf(E->fp_out,"output_evisc \n");
for(m=1;m<=E->sphere.caps_per_proc;m++) {
fprintf(E->fp_out,"output_evisc for cap %d\n",E->sphere.capid[CPPR]);
for(i=1;i<=E->lmesh.nel;i++)
fprintf(E->fp_out,"%d %d %f %f\n",i,E->mat[CPPR][i],evisc[CPPR][(i-1)*vpts+1],evisc[CPPR][(i-1)*vpts+7]);
}
fflush(E->fp_out);
}
/* interpolate from gauss quadrature points to node points for output */
visc_from_gint_to_nodes(E,evisc,visc,E->mesh.levmax);
if(E->viscosity.SMOOTH){ /* go the other way, for
smoothing */
visc_from_nodes_to_gint(E,visc,evisc,E->mesh.levmax);
}
#ifdef CITCOM_ALLOW_ANISOTROPIC_VISC /* allow for anisotropy */
if(E->viscosity.allow_anisotropic_viscosity){
visc_from_gint_to_nodes(E,E->EVI2[E->mesh.levmax], E->VI2[E->mesh.levmax],E->mesh.levmax);
visc_from_gint_to_nodes(E,E->EVIn1[E->mesh.levmax], E->VIn1[E->mesh.levmax],E->mesh.levmax);
visc_from_gint_to_nodes(E,E->EVIn2[E->mesh.levmax], E->VIn2[E->mesh.levmax],E->mesh.levmax);
visc_from_gint_to_nodes(E,E->EVIn3[E->mesh.levmax], E->VIn3[E->mesh.levmax],E->mesh.levmax);
normalize_director_at_nodes(E,E->VIn1[E->mesh.levmax],E->VIn2[E->mesh.levmax],E->VIn3[E->mesh.levmax],E->mesh.levmax);
if(E->viscosity.SMOOTH){
if(E->parallel.me == 0)fprintf(stderr,"WARNING: smoothing anisotropic viscosity, perhaps not a good idea\n");
visc_from_nodes_to_gint(E,E->VI2[E->mesh.levmax],E->EVI2[E->mesh.levmax],E->mesh.levmax);
visc_from_nodes_to_gint(E,E->VIn1[E->mesh.levmax],E->EVIn1[E->mesh.levmax],E->mesh.levmax);
visc_from_nodes_to_gint(E,E->VIn2[E->mesh.levmax],E->EVIn2[E->mesh.levmax],E->mesh.levmax);
visc_from_nodes_to_gint(E,E->VIn3[E->mesh.levmax],E->EVIn3[E->mesh.levmax],E->mesh.levmax);
normalize_director_at_gint(E,E->EVIn1[E->mesh.levmax],E->EVIn2[E->mesh.levmax],E->EVIn3[E->mesh.levmax],E->mesh.levmax);
}
}
#endif
return;
}
void initial_viscosity(struct All_variables *E)
{
void report(struct All_variables*, char*);
report(E,"Initialize viscosity field");
if (E->viscosity.FROM_SYSTEM)
get_system_viscosity(E,1,E->EVI[E->mesh.levmax],E->VI[E->mesh.levmax]);
return;
}
void visc_from_mat(E,EEta)
struct All_variables *E;
float **EEta;
{
int i,m,jj;
if(E->control.mat_control){ /* use pre-factor even without temperature dependent viscosity */
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=E->lmesh.nel;i++)
for(jj=1;jj<=vpoints[E->mesh.nsd];jj++)
EEta[CPPR][ (i-1)*vpoints[E->mesh.nsd]+jj ] = E->viscosity.N0[E->mat[CPPR][i]-1]*E->VIP[CPPR][i];
}else{
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=E->lmesh.nel;i++)
for(jj=1;jj<=vpoints[E->mesh.nsd];jj++)
EEta[CPPR][ (i-1)*vpoints[E->mesh.nsd]+jj ] = E->viscosity.N0[E->mat[CPPR][i]-1];
}
return;
}
void read_visc_layer_file(struct All_variables *E)
{
int i;
FILE *fp;
char junk[256];
fp = fopen(E->viscosity.layer_file, "r");
if (fp == NULL) {
fprintf(E->fp, "(Viscosity_structures #1) Cannot open %s\n", E->viscosity.layer_file);
exit(8);
}
/* default value */
for(i=0; i<E->mesh.elz; i++) {
E->viscosity.N0[i] =
E->viscosity.E[i] =
E->viscosity.T[i] =
E->viscosity.Z[i] =
E->viscosity.pdepv_a[i] =
E->viscosity.pdepv_b[i] =
E->viscosity.pdepv_y[i] =
E->viscosity.sdepv_expt[i] = 0;
}
read_visc_param_from_file(E, "visc0", E->viscosity.N0, fp);
if(E->viscosity.TDEPV) {
read_visc_param_from_file(E, "viscE", E->viscosity.E, fp);
read_visc_param_from_file(E, "viscT", E->viscosity.T, fp);
read_visc_param_from_file(E, "viscZ", E->viscosity.Z, fp);
}
if(E->viscosity.SDEPV) {
read_visc_param_from_file(E, "sdepv_expt", E->viscosity.sdepv_expt, fp);
}
if(E->viscosity.PDEPV) {
read_visc_param_from_file(E, "pdepv_a", E->viscosity.pdepv_a, fp);
read_visc_param_from_file(E, "pdepv_b", E->viscosity.pdepv_b, fp);
read_visc_param_from_file(E, "pdepv_y", E->viscosity.pdepv_y, fp);
}
return;
}
void visc_from_T(E,EEta,propogate)
struct All_variables *E;
float **EEta;
int propogate;
{
int m,i,k,l,z,jj,kk;
float zero,one,eta0,temp,tempa,TT[9];
float zzz,zz[9],dr;
float visc1, visc2;
const int vpts = vpoints[E->mesh.nsd];
const int ends = enodes[E->mesh.nsd];
const int nel = E->lmesh.nel;
one = 1.0;
zero = 0.0;
/* consistent handling : l is (material number - 1) to allow
addressing viscosity arrays, which are all 0...n-1 */
switch (E->viscosity.RHEOL) {
case 1:
/* eta = N_0 exp( E * (T_0 - T)) */
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control==0)
tempa = E->viscosity.N0[l];
else
tempa = E->viscosity.N0[l]*E->VIP[CPPR][i];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
}
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
for(kk=1;kk<=ends;kk++) {
temp += TT[kk] * E->N.vpt[GNVINDEX(kk,jj)];
}
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( E->viscosity.E[l] * (E->viscosity.T[l] - temp));
}
}
break;
case 2:
/* eta = N_0 exp(-T/T_0) */
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control==0)
tempa = E->viscosity.N0[l];
else
tempa = E->viscosity.N0[l]*E->VIP[CPPR][i];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
}
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
for(kk=1;kk<=ends;kk++) {
temp += TT[kk] * E->N.vpt[GNVINDEX(kk,jj)];
}
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( -temp / E->viscosity.T[l]);
}
}
break;
case 3:
/* eta = N_0 exp(E/(T+T_0) - E/(1+T_0))
where T is normalized to be within 0...1
*/
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control) /* switch moved up here TWB */
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
}
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
for(kk=1;kk<=ends;kk++) { /* took out
computation of
depth, not needed
TWB */
TT[kk]=max(TT[kk],zero);
temp += min(TT[kk],one) * E->N.vpt[GNVINDEX(kk,jj)];
}
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( E->viscosity.E[l]/(temp+E->viscosity.T[l])
- E->viscosity.E[l]/(one +E->viscosity.T[l]) );
}
}
break;
case 4:
/* eta = N_0 exp( (E + (1-z)Z_0) / (T+T_0) ) */
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control) /* moved this up here TWB */
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
zz[kk] = (1.-E->sx[CPPR][3][E->ien[CPPR][i].node[kk]]);
}
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
zzz=0.0;
for(kk=1;kk<=ends;kk++) {
TT[kk]=max(TT[kk],zero);
temp += min(TT[kk],one) * E->N.vpt[GNVINDEX(kk,jj)];
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];
}
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( (E->viscosity.E[l] + E->viscosity.Z[l]*zzz )
/ (E->viscosity.T[l]+temp) );
}
}
break;
case 5:
/* when mat_control=0, same as rheol 3,
when mat_control=1, applying viscosity cut-off before mat_control */
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
tempa = E->viscosity.N0[l];
/* fprintf(stderr,"\nINSIDE visc_from_T, l=%d, tempa=%g",l+1,tempa);*/
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
}
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
for(kk=1;kk<=ends;kk++) {
TT[kk]=max(TT[kk],zero);
temp += min(TT[kk],one) * E->N.vpt[GNVINDEX(kk,jj)];
}
if(E->control.mat_control==0){
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( E->viscosity.E[l]/(temp+E->viscosity.T[l])
- E->viscosity.E[l]/(one +E->viscosity.T[l]) );
}else{
visc2 = tempa*
exp( E->viscosity.E[l]/(temp+E->viscosity.T[l])
- E->viscosity.E[l]/(one +E->viscosity.T[l]) );
if(E->viscosity.MAX) {
if(visc2 > E->viscosity.max_value)
visc2 = E->viscosity.max_value;
}
if(E->viscosity.MIN) {
if(visc2 < E->viscosity.min_value)
visc2 = E->viscosity.min_value;
}
EEta[CPPR][ (i-1)*vpts + jj ] = E->VIP[CPPR][i]*visc2;
}
}
}
break;
case 6:
/* like case 1, but allowing for depth-dependence if Z_0 != 0
eta = N_0 exp(E(T_0-T) + (1-z) Z_0 )
*/
for(m=1;m <= E->sphere.caps_per_proc;m++)
for(i=1;i <= nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control)
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
zz[kk] = (1.0 - E->sx[CPPR][3][E->ien[CPPR][i].node[kk]]);
}
for(jj=1;jj <= vpts;jj++) {
temp=0.0;zzz=0.0;
for(kk=1;kk <= ends;kk++) {
TT[kk]=max(TT[kk],zero);
temp += min(TT[kk],one) * E->N.vpt[GNVINDEX(kk,jj)];
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];
}
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( E->viscosity.E[l]*(E->viscosity.T[l] - temp) +
zzz * E->viscosity.Z[l]);
/*
if(E->parallel.me == 0)
fprintf(stderr,"z %11g km mat %i N0 %11g T %11g T0 %11g E %11g Z %11g mat: %i log10(eta): %11g\n",
zzz *E->data.radius_km ,l+1,
tempa,temp,E->viscosity.T[l],E->viscosity.E[l], E->viscosity.Z[l],l+1,log10(EEta[m][ (i-1)*vpts + jj ]));
*/
}
}
break;
case 7:
/* The viscosity formulation (dimensional) is:
visc=visc0*exp[(Ea+p*Va)/(R*T)]
Typical values for dry upper mantle are:
Ea = 300 KJ/mol ; Va = 1.e-5 m^3/mol
T=DT*(T0+T');
where DT - temperature contrast (from Rayleigh number)
T' - nondimensional temperature;
T0 - nondimensional surface tempereture;
=>
visc = visc0 * exp{(Ea+p*Va) / [R*DT*(T0 + T')]}
= visc0 * exp{[Ea/(R*DT) + p*Va/(R*DT)] / (T0 + T')}
so:
E->viscosity.E = Ea/(R*DT);
(1-r) = p/(rho*g);
E->viscosity.Z = Va*rho*g/(R*DT);
E->viscosity.T = T0;
after normalizing visc=1 at T'=1 and r=r_CMB:
visc = visc0*exp{ [viscE + (1-r)*viscZ] / (viscT+T')
- [viscE + (1-r_CMB)*viscZ] / (viscT+1) }
*/
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control)
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
zz[kk] = (1.-E->sx[CPPR][3][E->ien[CPPR][i].node[kk]]);
}
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
zzz=0.0;
for(kk=1;kk<=ends;kk++) {
temp += TT[kk] * E->N.vpt[GNVINDEX(kk,jj)];
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];
}
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( (E->viscosity.E[l] + E->viscosity.Z[l]*zzz )
/ (E->viscosity.T[l] + temp)
- (E->viscosity.E[l] +
E->viscosity.Z[l]*(E->sphere.ro-E->sphere.ri) )
/ (E->viscosity.T[l] + one) );
}
}
break;
case 8:
/*
eta0 = N_0 exp(E/(T+T_0) - E/(1+T_0))
eta = eta0 if T < T_sol0 + 2(1-z)
eta = ET_red*eta0 if T >= T_sol0 + 2(1-z)
T is limited to lie between 0 and 1
where z is normalized by layer
thickness, and T_sol0 is something
like 0.6, and ET_red = 0.1
(same as case 3, but for viscosity reduction)
*/
dr = E->sphere.ro - E->sphere.ri;
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control)
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
zz[kk] = E->sx[CPPR][3][E->ien[CPPR][i].node[kk]]; /* radius */
}
for(jj=1;jj<=vpts;jj++) {
temp=zzz=0.0;
for(kk=1;kk<=ends;kk++) {
TT[kk]=max(TT[kk],zero);
temp += min(TT[kk],one) * E->N.vpt[GNVINDEX(kk,jj)]; /* mean temp */
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];/* mean r */
}
/* convert to z, as defined to be unity at surface
and zero at CMB */
zzz = (zzz - E->sphere.ri)/dr;
visc1 = tempa* exp( E->viscosity.E[l]/(temp+E->viscosity.T[l])
- E->viscosity.E[l]/(one +E->viscosity.T[l]) );
if(temp < E->viscosity.T_sol0 + 2.*(1.-zzz))
EEta[CPPR][ (i-1)*vpts + jj ] = visc1;
else
EEta[CPPR][ (i-1)*vpts + jj ] = visc1 * E->viscosity.ET_red;
}
}
break;
case 9:
/* eta = N_0 exp(E/(T+T_0) - E/(1+T_0))
like option 3, but T is allow to vary beyond 1
*/
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control) /* switch moved up here TWB */
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++)
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
for(jj=1;jj<=vpts;jj++) {
temp=0.0;
for(kk=1;kk<=ends;kk++)
temp += TT[kk] * E->N.vpt[GNVINDEX(kk,jj)];
EEta[CPPR][ (i-1)*vpts + jj ] = tempa*
exp( E->viscosity.E[l]/(temp+E->viscosity.T[l])
- E->viscosity.E[l]/(one +E->viscosity.T[l]) );
}
}
break;
case 10:
/*
eta0 = N_0 exp(E/(T+T_0) - E/(1+T_0))
eta = eta0 if T < T_sol0 + 2(1-z)
eta = ET_red*eta0 if T >= T_sol0 + 2(1-z)
like rheol == 8, but T is not limited to lie between 0 and 1
*/
dr = E->sphere.ro - E->sphere.ri;
for(m=1;m<=E->sphere.caps_per_proc;m++)
for(i=1;i<=nel;i++) {
l = E->mat[CPPR][i] - 1;
if(E->control.mat_control)
tempa = E->viscosity.N0[l] * E->VIP[CPPR][i];
else
tempa = E->viscosity.N0[l];
for(kk=1;kk<=ends;kk++) {
TT[kk] = E->T[CPPR][E->ien[CPPR][i].node[kk]];
zz[kk] = E->sx[CPPR][3][E->ien[CPPR][i].node[kk]]; /* radius */
}
for(jj=1;jj<=vpts;jj++) {
temp=zzz=0.0;
for(kk=1;kk<=ends;kk++) {
temp += TT[kk] * E->N.vpt[GNVINDEX(kk,jj)]; /* mean temp */
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];/* mean r */
}
zzz = (zzz - E->sphere.ri)/dr;
visc1 = tempa* exp( E->viscosity.E[l]/(temp+E->viscosity.T[l])
- E->viscosity.E[l]/(one +E->viscosity.T[l]) );
if(temp < E->viscosity.T_sol0 + 2.*(1.-zzz))
EEta[CPPR][ (i-1)*vpts + jj ] = visc1;
else
EEta[CPPR][ (i-1)*vpts + jj ] = visc1 * E->viscosity.ET_red;
}
}
break;
case 100:
/* user-defined viscosity law goes here */
fprintf(stderr, "Need user definition for viscosity law: 'rheol=%d'\n",
E->viscosity.RHEOL);
parallel_process_termination();
break;
default:
/* unknown option */
fprintf(stderr, "Invalid value of 'rheol=%d'\n", E->viscosity.RHEOL);
parallel_process_termination();
break;
}
return;
}
void visc_from_S(E,EEta,propogate)
struct All_variables *E;
float **EEta;
int propogate;
{
float one,two,scale,stress_magnitude,depth,exponent1;
float *eedot;
void strain_rate_2_inv();
int m,e,l,z,jj,kk;
const int vpts = vpoints[E->mesh.nsd];
const int nel = E->lmesh.nel;
eedot = (float *) malloc((2+nel)*sizeof(float));
one = 1.0;
two = 2.0;
for(m=1;m<=E->sphere.caps_per_proc;m++) {
if(E->viscosity.sdepv_visited){
/* get second invariant for all elements */
strain_rate_2_inv(E,CPPR,eedot,1);
}else{
for(e=1;e<=nel;e++) /* initialize with unity if no velocities around */
eedot[e] = 1.0;
E->viscosity.sdepv_visited = 1;
}
/* eedot cannot be too small, or the viscosity will go to inf */
for(e=1;e<=nel;e++){
eedot[e] = max(eedot[e], 1.0e-16);
}
for(e=1;e<=nel;e++) {
exponent1= one/E->viscosity.sdepv_expt[E->mat[CPPR][e]-1];
scale=pow(eedot[e],exponent1-one);
for(jj=1;jj<=vpts;jj++)
EEta[CPPR][(e-1)*vpts + jj] = scale*pow(EEta[CPPR][(e-1)*vpts+jj],exponent1);
}
}
free ((void *)eedot);
return;
}
void visc_from_P(E,EEta) /* "plasticity" implementation
psrw = FALSE
viscosity will be limited by a yield stress
\sigma_y = min(a + b * (1-r), y)
where a,b,y are parameters input via pdepv_a,b,y
and
\eta_y = \sigma_y / (2 \eps_II)
where \eps_II is the second invariant. Then
\eta_eff = (\eta_0 \eta_y)/(\eta_0 + \eta_y)
for pdepv_eff = 1
or
\eta_eff = min(\eta_0,\eta_y)
for pdepv_eff = 0
where \eta_0 is the regular viscosity
psrw = 1
a strain-rate weakening rheology applies
based on a steady state stress-strain
relationship following, e.g., Tackley 1998
\eta_ett = (\sigma_y^2 \eta_0)/(\sigma_y^2 + \eta_0^2 (2 \eps_II^2))
where sigma_y is defined as above
where the 2\eps_II arises because our \eps_II has the 1/2 factor in it
TWB
*/
struct All_variables *E;
float **EEta;
{
float *eedot,zz[9],zzz,tau,eta_p,eta_new,tau2,eta_old,eta_old2;
int m,e,l,z,jj,kk;
const int vpts = vpoints[E->mesh.nsd];
const int nel = E->lmesh.nel;
const int ends = enodes[E->mesh.nsd];
void strain_rate_2_inv();
eedot = (float *) malloc((2+nel)*sizeof(float));
for(m=1;m<=E->sphere.caps_per_proc;m++) {
if(E->viscosity.pdepv_visited){
if(E->viscosity.psrw)
strain_rate_2_inv(E,CPPR,eedot,0); /* get second invariant for all elements, don't take sqrt */
else
strain_rate_2_inv(E,CPPR,eedot,1); /* get second invariant for all elements */
}else{
for(e=1;e<=nel;e++) /* initialize with unity if no velocities around */
eedot[e] = 1.0;
if(m == E->sphere.caps_per_proc)
E->viscosity.pdepv_visited = 1;
if((E->parallel.me == 0)&&(E->control.verbose)){
fprintf(stderr,"num mat: %i a: %g b: %g y: %g %s\n",
e,E->viscosity.pdepv_a[e],E->viscosity.pdepv_b[e],E->viscosity.pdepv_y[e],
(E->viscosity.psrw)?(" -- SRW"):(""));
}
}
if(!E->viscosity.psrw){
/*
regular plasticity
*/
for(e=1;e <= nel;e++) { /* loop through all elements */
l = E->mat[CPPR][e] -1 ; /* material of this element */
for(kk=1;kk <= ends;kk++) /* nodal depths */
zz[kk] = (1.0 - E->sx[CPPR][3][E->ien[CPPR][e].node[kk]]); /* for depth, zz = 1 - r */
for(jj=1;jj <= vpts;jj++){ /* loop through integration points */
zzz = 0.0; /* get mean depth of integration point */
for(kk=1;kk<=ends;kk++)
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];
/* depth dependent yield stress */
tau = E->viscosity.pdepv_a[l] + zzz * E->viscosity.pdepv_b[l];
/* min of depth dep. and constant yield stress */
tau = min(tau, E->viscosity.pdepv_y[l]);
/* yield viscosity */
eta_p = tau/(2.0 * eedot[e] + 1e-7) + E->viscosity.pdepv_offset;
if(E->viscosity.pdepv_eff){
/* two dashpots in series */
eta_new = 1.0/(1.0/EEta[CPPR][ (e-1)*vpts + jj ] + 1.0/eta_p);
}else{
/* min viscosities*/
eta_new = min(EEta[CPPR][ (e-1)*vpts + jj ], eta_p);
}
//fprintf(stderr,"z: %11g mat: %i a: %11g b: %11g y: %11g ee: %11g tau: %11g eta_p: %11g eta_new: %11g eta_old: %11g\n",
// zzz,l,E->viscosity.pdepv_a[l], E->viscosity.pdepv_b[l],E->viscosity.pdepv_y[l],
// eedot[e],tau,eta_p,eta_new,EEta[m][(e-1)*vpts + jj]);
EEta[CPPR][(e-1)*vpts + jj] = eta_new;
} /* end integration point loop */
} /* end element loop */
}else{
/* strain-rate weakening, steady state solution */
for(e=1;e <= nel;e++) { /* loop through all elements */
l = E->mat[CPPR][e] -1 ;
for(kk=1;kk <= ends;kk++)
zz[kk] = (1.0 - E->sx[CPPR][3][E->ien[CPPR][e].node[kk]]);
for(jj=1;jj <= vpts;jj++){
zzz = 0.0;
for(kk=1;kk<=ends;kk++)
zzz += zz[kk] * E->N.vpt[GNVINDEX(kk,jj)];
/* compute sigma_y as above */
tau = E->viscosity.pdepv_a[l] + zzz * E->viscosity.pdepv_b[l];
tau = min(tau, E->viscosity.pdepv_y[l]);
tau2 = tau * tau;
if(tau < 1e10){
/* */
eta_old = EEta[CPPR][ (e-1)*vpts + jj ];
eta_old2 = eta_old * eta_old;
/* effectiev viscosity */
eta_new = (tau2 * eta_old)/(tau2 + 2.0 * eta_old2 * eedot[e]);
//fprintf(stderr,"SRW: a %11g b %11g y %11g z %11g sy: %11g e2: %11g eold: %11g enew: %11g logr: %.3f\n",
// E->viscosity.pdepv_a[l],E->viscosity.pdepv_b[l],E->viscosity.pdepv_y[l],zzz,tau,eedot[e],eta_old,eta_new,
// log10(eta_new/eta_old));
EEta[CPPR][(e-1)*vpts + jj] = eta_new;
}
}
}
}
} /* end caps loop */
free ((void *)eedot);
return;
}
/*
multiply with compositional factor which is determined by a geometric
mean average from the tracer composition, assuming two flavors and
compositions between zero and unity
*/
void visc_from_C( E, EEta)
struct All_variables *E;
float **EEta;
{
double vmean,cc_loc[10],CC[10][9],cbackground;
int m,l,z,jj,kk,i,p,q;
const int vpts = vpoints[E->mesh.nsd];
const int nel = E->lmesh.nel;
const int ends = enodes[E->mesh.nsd];
for(m=1;m <= E->sphere.caps_per_proc;m++) {
for(i = 1; i <= nel; i++){
/* determine composition of each of the nodes of the
element */
for(p=0; p<E->composition.ncomp; p++) {
for(kk = 1; kk <= ends; kk++){
CC[p][kk] = E->composition.comp_node[CPPR][p][E->ien[CPPR][i].node[kk]];
if(CC[p][kk] < 0)CC[p][kk]=0.0;
if(CC[p][kk] > 1)CC[p][kk]=1.0;
}
}
for(jj = 1; jj <= vpts; jj++) {
/* concentration of background material */
cbackground = 1;
for(p=0; p<E->composition.ncomp; p++) {
/* compute mean composition */
cc_loc[p] = 0.0;
for(kk = 1; kk <= ends; kk++) {
cc_loc[p] += CC[p][kk] * E->N.vpt[GNVINDEX(kk, jj)];
}
cbackground -= cc_loc[p];
}
/* geometric mean of viscosity */
vmean = cbackground * E->viscosity.cdepv_ff[0];
for(p=0; p<E->composition.ncomp; p++) {
vmean += cc_loc[p] * E->viscosity.cdepv_ff[p+1];
}
vmean = exp(vmean);
/* multiply the viscosity with this prefactor */
EEta[CPPR][ (i-1)*vpts + jj ] *= vmean;
} /* end jj loop */
} /* end el loop */
} /* end cap */
}
void strain_rate_2_inv(E,m,EEDOT,SQRT)
struct All_variables *E;
float *EEDOT;
int m,SQRT;
{
void get_rtf_at_ppts();
void velo_from_element();
void construct_c3x3matrix_el();
void get_ba_p();
struct Shape_function_dx *GNx;
double edot[4][4], rtf[4][9];
double theta;
double ba[9][9][4][7];
float VV[4][9], Vxyz[7][9], dilation[9];
int e, i, j, p, q, n;
const int nel = E->lmesh.nel;
const int dims = E->mesh.nsd;
const int ends = enodes[dims];
const int lev = E->mesh.levmax;
const int ppts = ppoints[dims];
const int sphere_key = 1;
for(e=1; e<=nel; e++) {
get_rtf_at_ppts(E, CPPR, lev, e, rtf); /* pressure evaluation
points */
velo_from_element(E, VV, CPPR, e, sphere_key);
GNx = &(E->gNX[CPPR][e]);
theta = rtf[1][1];
/* Vxyz is the strain rate vector, whose relationship with
* the strain rate tensor (e) is that:
* Vxyz[1] = e11
* Vxyz[2] = e22
* Vxyz[3] = e33
* Vxyz[4] = 2*e12
* Vxyz[5] = 2*e13
* Vxyz[6] = 2*e23
* where 1 is theta, 2 is phi, and 3 is r
*/
for(j=1; j<=ppts; j++) {
Vxyz[1][j] = 0.0;
Vxyz[2][j] = 0.0;
Vxyz[3][j] = 0.0;
Vxyz[4][j] = 0.0;
Vxyz[5][j] = 0.0;
Vxyz[6][j] = 0.0;
dilation[j] = 0.0;
}
if ((E->control.precise_strain_rate) || (theta < 0.09) || (theta > 3.05)) {
/* When the element is close to the poles, use a more
* precise method to compute the strain rate.
if precise_strain_rate=on, will always choose this option
*/
if ((e-1)%E->lmesh.elz==0) {
construct_c3x3matrix_el(E,e,&E->element_Cc,&E->element_Ccx,lev,CPPR,1);
}
get_ba_p(&(E->N), GNx, &E->element_Cc, &E->element_Ccx,
rtf, E->mesh.nsd, ba);
for(j=1;j<=ppts;j++)
for(p=1;p<=6;p++)
for(i=1;i<=ends;i++)
for(q=1;q<=dims;q++) {
Vxyz[p][j] += ba[i][j][q][p] * VV[q][i];
}
}
else {
for(j=1; j<=ppts; j++) {
for(i=1; i<=ends; i++) {
Vxyz[1][j] += (VV[1][i] * GNx->ppt[GNPXINDEX(0, i, j)]
+ VV[3][i] * E->N.ppt[GNPINDEX(i, j)])
* rtf[3][j];
Vxyz[2][j] += ((VV[2][i] * GNx->ppt[GNPXINDEX(1, i, j)]
+ VV[1][i] * E->N.ppt[GNPINDEX(i, j)]
* cos(rtf[1][j])) / sin(rtf[1][j])
+ VV[3][i] * E->N.ppt[GNPINDEX(i, j)])
* rtf[3][j];
Vxyz[3][j] += VV[3][i] * GNx->ppt[GNPXINDEX(2, i, j)];
Vxyz[4][j] += ((VV[1][i] * GNx->ppt[GNPXINDEX(1, i, j)]
- VV[2][i] * E->N.ppt[GNPINDEX(i, j)]
* cos(rtf[1][j])) / sin(rtf[1][j])
+ VV[2][i] * GNx->ppt[GNPXINDEX(0, i, j)])
* rtf[3][j];
Vxyz[5][j] += VV[1][i] * GNx->ppt[GNPXINDEX(2, i, j)]
+ rtf[3][j] * (VV[3][i] * GNx->ppt[GNPXINDEX(0, i, j)]
- VV[1][i] * E->N.ppt[GNPINDEX(i, j)]);
Vxyz[6][j] += VV[2][i] * GNx->ppt[GNPXINDEX(2, i, j)]
+ rtf[3][j] * (VV[3][i]
* GNx->ppt[GNPXINDEX(1, i, j)]
/ sin(rtf[1][j])
- VV[2][i] * E->N.ppt[GNPINDEX(i, j)]);
}
}
} /* end of fast, imprecise strain-rate computation */
if(E->control.inv_gruneisen != 0) {
for(j=1; j<=ppts; j++)
dilation[j] = (Vxyz[1][j] + Vxyz[2][j] + Vxyz[3][j]) / 3.0;
}
edot[1][1] = edot[2][2] = edot[3][3] = 0;
edot[1][2] = edot[1][3] = edot[2][3] = 0;
/* edot is 2 * (the deviatoric strain rate tensor) */
for(j=1; j <= ppts; j++) {
edot[1][1] += 2.0 * (Vxyz[1][j] - dilation[j]);
edot[2][2] += 2.0 * (Vxyz[2][j] - dilation[j]);
edot[3][3] += 2.0 * (Vxyz[3][j] - dilation[j]);
edot[1][2] += Vxyz[4][j];
edot[1][3] += Vxyz[5][j];
edot[2][3] += Vxyz[6][j];
}
EEDOT[e] = edot[1][1] * edot[1][1]
+ edot[1][2] * edot[1][2] * 2.0
+ edot[2][2] * edot[2][2]
+ edot[2][3] * edot[2][3] * 2.0
+ edot[3][3] * edot[3][3]
+ edot[1][3] * edot[1][3] * 2.0;
}
if(SQRT)
for(e=1;e<=nel;e++)
EEDOT[e] = sqrt(0.5 *EEDOT[e]);
else
for(e=1;e<=nel;e++)
EEDOT[e] *= 0.5;
return;
}
static void apply_low_visc_wedge_channel(struct All_variables *E, float **evisc)
{
void parallel_process_termination();
int i,j,m;
const int vpts = vpoints[E->mesh.nsd];
float *F;
/* low viscosity channel/wedge require tracers to work */
if(E->control.tracer == 0) {
if(E->parallel.me == 0) {
fprintf(stderr, "Error: low viscosity channel/wedge is turned on, "
"but tracer is off!\n");
fprintf(E->fp, "Error: low viscosity channel/wedge is turned on, "
"but tracer is off!\n");
fflush(E->fp);
}
parallel_process_termination();
}
F = (float *)malloc((E->lmesh.nel+1)*sizeof(float));
for(i=1 ; i<=E->lmesh.nel ; i++)
F[i] = 0.0;
/* if low viscosity channel ... */
if(E->viscosity.channel)
low_viscosity_channel_factor(E, F);
/* if low viscosity wedge ... */
if(E->viscosity.wedge)
low_viscosity_wedge_factor(E, F);
for(i=1 ; i<=E->lmesh.nel ; i++) {
if (F[i] != 0.0)
for(m = 1 ; m <= E->sphere.caps_per_proc ; m++) {
for(j=1;j<=vpts;j++) {
evisc[CPPR][(i-1)*vpts + j] = F[i];
}
}
}
free(F);
return;
}
static void low_viscosity_channel_factor(struct All_variables *E, float *F)
{
int i, ii, k, m, e, ee;
int nz_min[NCS], nz_max[NCS];
const int flavor = 0;
double rad_mean, rr;
for(m=1; m<=E->sphere.caps_per_proc; m++) {
/* find index of radius corresponding to lv_min_radius */
for(e=1; e<=E->lmesh.elz; e++) {
rad_mean = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][e].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][e].node[8]]);
if(rad_mean >= E->viscosity.lv_min_radius) break;
}
nz_min[CPPR] = e;
/* find index of radius corresponding to lv_max_radius */
for(e=E->lmesh.elz; e>=1; e--) {
rad_mean = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][e].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][e].node[8]]);
if(rad_mean <= E->viscosity.lv_max_radius) break;
}
nz_max[CPPR] = e;
}
for(m=1; m<=E->sphere.caps_per_proc; m++) {
for(k=1; k<=E->lmesh.elx*E->lmesh.ely; k++) {
for(i=nz_min[CPPR]; i<=nz_max[CPPR]; i++) {
e = (k-1)*E->lmesh.elz + i;
rad_mean = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][e].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][e].node[8]]);
/* loop over elements below e */
for(ii=i; ii>=nz_min[CPPR]; ii--) {
ee = (k-1)*E->lmesh.elz + ii;
rr = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][ee].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][ee].node[8]]);
/* if ee has tracers in it and is within the channel */
if((E->trace.ntracer_flavor[CPPR][flavor][ee] > 0) &&
(rad_mean <= rr + E->viscosity.lv_channel_thickness)) {
F[e] = E->viscosity.lv_reduction;
break;
}
}
}
}
}
/** debug **
for(m=1; m<=E->sphere.caps_per_proc; m++)
for(e=1; e<=E->lmesh.nel; e++)
fprintf(stderr, "lv_reduction: %d %e\n", e, F[e]);
/**/
return;
}
static void low_viscosity_wedge_factor(struct All_variables *E, float *F)
{
int i, ii, k, m, e, ee;
int nz_min[NCS], nz_max[NCS];
const int flavor = 0;
double rad_mean, rr;
for(m=1; m<=E->sphere.caps_per_proc; m++) {
/* find index of radius corresponding to lv_min_radius */
for(e=1; e<=E->lmesh.elz; e++) {
rad_mean = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][e].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][e].node[8]]);
if(rad_mean >= E->viscosity.lv_min_radius) break;
}
nz_min[CPPR] = e;
/* find index of radius corresponding to lv_max_radius */
for(e=E->lmesh.elz; e>=1; e--) {
rad_mean = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][e].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][e].node[8]]);
if(rad_mean <= E->viscosity.lv_max_radius) break;
}
nz_max[CPPR] = e;
}
for(m=1; m<=E->sphere.caps_per_proc; m++) {
for(k=1; k<=E->lmesh.elx*E->lmesh.ely; k++) {
for(i=nz_min[CPPR]; i<=nz_max[CPPR]; i++) {
e = (k-1)*E->lmesh.elz + i;
rad_mean = 0.5 * (E->sx[CPPR][3][E->ien[CPPR][e].node[1]] +
E->sx[CPPR][3][E->ien[CPPR][e].node[8]]);
/* loop over elements below e */
for(ii=i; ii>=nz_min[CPPR]; ii--) {
ee = (k-1)*E->lmesh.elz + ii;
/* if ee has tracers in it */
if(E->trace.ntracer_flavor[CPPR][flavor][ee] > 0) {
F[e] = E->viscosity.lv_reduction;
break;
}
}
}
}
}
/** debug **
for(m=1; m<=E->sphere.caps_per_proc; m++)
for(e=1; e<=E->lmesh.nel; e++)
fprintf(stderr, "lv_reduction: %d %e\n", e, F[e]);
/**/
return;
}
/* compute second invariant from a strain-rate tensor in 0,...2 format
*/
double second_invariant_from_3x3(double e[3][3])
{
return(sqrt(0.5*
(e[0][0] * e[0][0] +
e[0][1] * e[0][1] * 2.0 +
e[1][1] * e[1][1] +
e[1][2] * e[1][2] * 2.0 +
e[2][2] * e[2][2] +
e[0][2] * e[0][2] * 2.0)));
}
void calc_strain_from_vgm(double l[3][3], double d[3][3])
{
int i,j;
for(i=0;i < 3;i++)
for(j=0;j < 3;j++)
d[i][j] = 0.5 * (l[i][j] + l[j][i]);
}
void calc_strain_from_vgm9(double *l9, double d[3][3])
{
double l[3][3];
get_3x3_from_9vec(l, l9);
calc_strain_from_vgm(l, d);
}
/*
given a 3x3 velocity gradient matrix l, compute a rotation matrix
*/
void calc_rot_from_vgm(double l[3][3], double r[3][3])
{
int i,j;
for(i=0;i < 3;i++)
for(j=0;j < 3;j++)
r[i][j] = 0.5 * (l[i][j] - l[j][i]);
}
/*
get velocity gradient matrix at element, and also compute the
average velocity in this element
*/
void get_vgm_p(double VV[4][9],struct Shape_function *N,
struct Shape_function_dx *GNx,
struct CC *cc, struct CCX *ccx, double rtf[4][9],
int dims,int ppts, int ends, int spherical,
double l[3][3], double v[3])
{
int i,k,j,a;
double ra[9], si[9], ct[9];
const double one = 1.0;
const double two = 2.0;
double vgm[3][3];
double shp, cc1, cc2, cc3,d_t,d_r,d_p,up,ur,ut;
/* init L matrix */
for(i=0;i < 3;i++){
v[i] = 0.0;
for(j=0;j < 3; j++)
l[i][j] = 0.0;
}
/* mean velocity at pressure integration point */
for(a=1;a <= ends;a++){
v[0] += N->ppt[GNPINDEX(a, 1)] * VV[1][a];
v[1] += N->ppt[GNPINDEX(a, 1)] * VV[2][a];
v[2] += N->ppt[GNPINDEX(a, 1)] * VV[3][a];
}
if(spherical){
for(k = 1; k <= ppts; k++){
ra[k] = rtf[3][k]; /* 1/r */
si[k] = one / sin(rtf[1][k]); /* 1/sin(t) */
ct[k] = cos(rtf[1][k]) * si[k]; /* cot(t) */
}
for(a = 1; a <= ends; a++){
for(k = 1; k <= ppts; k++){
d_t = GNx->ppt[GNPXINDEX(0, a, k)]; /* d_t */
d_p = GNx->ppt[GNPXINDEX(1, a, k)]; /* d_p */
d_r = GNx->ppt[GNPXINDEX(2, a, k)]; /* d_r */
shp = N->ppt[GNPINDEX(a, k)];
for(i = 1; i <= dims; i++){
ut = cc->ppt[BPINDEX(1, i, a, k)]; /* ut */
up = cc->ppt[BPINDEX(2, i, a, k)]; /* up */
ur = cc->ppt[BPINDEX(3, i, a, k)]; /* ur */
/* velocity gradient matrix is transpose of grad v, using Citcom sort t, p, r
| d_t(vt) d_p(vt) d_r(vt) |
| d_t(vp) d_p(vp) d_r(vp) |
| d_t(vr) d_p(vr) d_r(vr) |
*/
/* d_t vt = 1/r (d_t vt + vr) */
vgm[0][0] = ((d_t * ut + shp * ccx->ppt[BPXINDEX(1, i, 1, a, k)]) +
shp * ur) * ra[k];
/* d_p vt = 1/r (1/sin(t) d_p vt -vp/tan(t)) */
vgm[0][1] = ((d_p * ut + shp * ccx->ppt[BPXINDEX(1, i, 2, a, k)]) * si[k] -
shp * up * ct[k]) * ra[k];
/* d_r vt = d_r v_t */
vgm[0][2] = d_r * ut;
/* d_t vp = 1/r d_t v_p*/
vgm[1][0] = (d_t * up + shp * ccx->ppt[BPXINDEX(2, i, 1, a, k)]) * ra[k];
/* d_p vp = 1/r((d_p vp)/sin(t) + vt/tan(t) + vr) */
vgm[1][1] = ((d_p * up + shp * ccx->ppt[BPXINDEX(2, i, 2, a, k)]) * si[k] +
shp * ut * ct[k] + shp * ur) * ra[k];
/* d_r vp = d_r v_p */
vgm[1][2] = d_r * up;
/* d_t vr = 1/r(d_t vr - vt) */
vgm[2][0] = ((d_t * ur + shp * ccx->ppt[BPXINDEX(3, i, 1, a, k)]) -
shp * ut) * ra[k];
/* d_p vr = 1/r(1/sin(t) d_p vr - vp) */
vgm[2][1] = (( d_p * ur + shp * ccx->ppt[BPXINDEX(3,i, 2,a,k)] ) * si[k] -
shp * up ) * ra[k];
/* d_r vr = d_r vr */
vgm[2][2] = d_r * ur;
l[0][0] += vgm[0][0] * VV[i][a];
l[0][1] += vgm[0][1] * VV[i][a];
l[0][2] += vgm[0][2] * VV[1][a];
l[1][0] += vgm[1][0] * VV[i][a];
l[1][1] += vgm[1][1] * VV[i][a];
l[1][2] += vgm[1][2] * VV[i][a];
l[2][0] += vgm[2][0] * VV[i][a];
l[2][1] += vgm[2][1] * VV[i][a];
l[2][2] += vgm[2][2] * VV[i][a];
}
}
}
}else{
/* cartesian */
for(k = 1; k <= ppts; k++){
for(a = 1; a <= ends; a++){
/* velocity gradient matrix is transpose of grad v
| d_x(vx) d_y(vx) d_z(vx) |
| d_x(vy) d_y(vy) d_z(vy) |
| d_x(vz) d_y(vz) d_z(vz) |
*/
l[0][0] += GNx->ppt[GNPXINDEX(0, a, k)] * VV[1][a]; /* other contributions are zero */
l[0][1] += GNx->ppt[GNPXINDEX(1, a, k)] * VV[1][a];
l[0][2] += GNx->ppt[GNPXINDEX(2, a, k)] * VV[1][a];
l[1][0] += GNx->ppt[GNPXINDEX(0, a, k)] * VV[2][a];
l[1][1] += GNx->ppt[GNPXINDEX(1, a, k)] * VV[2][a];
l[1][2] += GNx->ppt[GNPXINDEX(2, a, k)] * VV[2][a];
l[2][0] += GNx->ppt[GNPXINDEX(0, a, k)] * VV[3][a];
l[2][1] += GNx->ppt[GNPXINDEX(1, a, k)] * VV[3][a];
l[2][2] += GNx->ppt[GNPXINDEX(2, a, k)] * VV[3][a];
}
}
}
if(ppts != 1){
for(i=0;i<3;i++)
for(j=0;j<3;j++)
l[i][j] /= (float)ppts;
}
}
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