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Tracer_tracer_interactions.c
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Tracer_tracer_interactions.c
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/*
Copyright (C) 2003 The GeoFramework Consortium
This file is part of Ellipsis3D.
Ellipsis3D is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License, version 2,
as published by the Free Software Foundation.
Ellipsis3D 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.
Authors:
Louis Moresi <[email protected]>
Richard Albert <[email protected]>
*/
#include "config.h"
#include <math.h>
#if HAVE_STRING_H
#include <string.h>
#endif
#if HAVE_STRINGS_H
#include <strings.h>
#endif
#include "element_definitions.h"
#include "global_defs.h"
/* Copy one tracer (at location tr1) to another tracer (at location tr2) */
void tracer_copy(
struct All_variables *E,
int tr1,
int tr2
)
{
const int dims=E->mesh.nsd;
const int dofs=E->mesh.dof;
int level,q;
E->tracer.tx[tr2] = E->tracer.tx[tr1] ;
E->tracer.tz[tr2] = E->tracer.tz[tr1] ;
if(3==dims)
E->tracer.ty[tr2] = E->tracer.ty[tr1];
E->tracer.tx1[tr2] = E->tracer.tx1[tr1] ;
E->tracer.tz1[tr2] = E->tracer.tz1[tr1] ;
if(3==dims)
E->tracer.ty1[tr2] = E->tracer.ty1[tr1];
E->tracer.T[tr2] = E->tracer.T[tr1];
E->tracer.Q[tr2] = E->tracer.Q[tr1];
E->tracer.Hvisc[tr2] = E->tracer.Hvisc[tr1];
E->tracer.weight[tr2] = E->tracer.weight[tr1];
E->tracer.Density_change[tr2] = E->tracer.Density_change[tr1];
E->tracer.edot[tr2] = E->tracer.edot[tr1];
E->tracer.strs[tr2] = E->tracer.strs[tr1];
E->tracer.strd[tr2] = E->tracer.strd[tr1];
E->tracer.depl[tr2] = E->tracer.depl[tr1]; /*RAA: 24/09/02, O'Neill - melting stuff */
E->tracer.dFdot[tr2] = E->tracer.dFdot[tr1]; /*RAA: 10/07/03, O'Neill - melting stuff */
E->tracer.edot_integrated[tr2] = E->tracer.edot_integrated[tr1];
E->tracer.edotp_integrated[tr2] = E->tracer.edotp_integrated[tr1];
E->tracer.time_since_phase_change[tr2] = E->tracer.time_since_phase_change[tr1];
E->tracer.phase_function[tr2] = E->tracer.phase_function[tr1];
E->tracer.grain_size[tr2] = E->tracer.grain_size[tr1];
E->tracer.yielded[tr2] = E->tracer.yielded[tr1];
E->tracer.property_group[tr2] = E->tracer.property_group[tr1];
E->tracer.tracer_weight_fn[E->mesh.levmax][tr2] =
E->tracer.tracer_weight_fn[E->mesh.levmax][tr1];
E->tracer.tracer_std_weighting[E->mesh.levmax][tr2] =
E->tracer.tracer_std_weighting[E->mesh.levmax][tr1];
E->tracer.tracer_jacobian[E->mesh.levmax][tr2] =
E->tracer.tracer_jacobian[E->mesh.levmax][tr1];
E->tracer.tr_dim[tr2] = E->tracer.tr_dim[tr1];
E->tracer.DQ[tr2] = E->tracer.DQ[tr1];
E->tracer.DQ1[tr2] = E->tracer.DQ1[tr1];
if(E->control.ORTHOTROPY) {
E->tracer.n1[tr2] = E->tracer.n1[tr1];
E->tracer.n2[tr2] = E->tracer.n2[tr1];
if(3==dims) {
E->tracer.n3[tr2] = E->tracer.n3[tr1];
}
}
#if defined (CHEM_TRANS_MODULE_INSTALLED)
if(E->control.CHEM_TRANS) {
E->tracer.volfraction[tr2] = E->tracer.volfraction[tr1];
E->tracer.sigma_n[tr2] = E->tracer.sigma_n[tr1];
}
#endif
if(E->control.ELASTICITY) {
E->tracer.Pt[tr2] = E->tracer.Pt[tr1];
E->tracer.S11[tr2] = E->tracer.S11[tr1];
E->tracer.S12[tr2] = E->tracer.S12[tr1];
E->tracer.S22[tr2] = E->tracer.S22[tr1];
if(3==dims & 3==dofs) {
E->tracer.S13[tr2] = E->tracer.S13[tr1];
E->tracer.S23[tr2] = E->tracer.S23[tr1];
E->tracer.S33[tr2] = E->tracer.S33[tr1];
}
else if(2==dims & 3==dofs) {
E->tracer.S21[tr2] = E->tracer.S21[tr1];
E->tracer.M31[tr2] = E->tracer.M31[tr1];
E->tracer.M32[tr2] = E->tracer.M32[tr1];
}
else if(6==dofs) {
E->tracer.S13[tr2] = E->tracer.S13[tr1];
E->tracer.S31[tr2] = E->tracer.S31[tr1];
E->tracer.S23[tr2] = E->tracer.S23[tr1];
E->tracer.S32[tr2] = E->tracer.S32[tr1];
E->tracer.S33[tr2] = E->tracer.S33[tr1];
E->tracer.S21[tr2] = E->tracer.S21[tr1];
E->tracer.M31[tr2] = E->tracer.M31[tr1];
E->tracer.M32[tr2] = E->tracer.M32[tr1];
E->tracer.M12[tr2] = E->tracer.M12[tr1];
E->tracer.M13[tr2] = E->tracer.M13[tr1];
E->tracer.M23[tr2] = E->tracer.M23[tr1];
E->tracer.M21[tr2] = E->tracer.M21[tr1];
}
}
E->tracer.A1[tr2] = E->tracer.A1[tr1];
E->tracer.A2[tr2] = E->tracer.A2[tr1];
if(3==dims)
E->tracer.A3[tr2] = E->tracer.A3[tr1];
E->tracer.U1[tr2] = E->tracer.U1[tr1];
E->tracer.U2[tr2] = E->tracer.U2[tr1];
if(3==dims)
E->tracer.U3[tr2] = E->tracer.U3[tr1];
E->tracer.UU1[tr2] = E->tracer.UU1[tr1];
E->tracer.UU2[tr2] = E->tracer.UU2[tr1];
if(3==dims)
E->tracer.UU3[tr2] = E->tracer.UU3[tr1];
E->tracer.dX11[tr2] = E->tracer.dX11[tr1];
E->tracer.dX12[tr2] = E->tracer.dX12[tr1];
E->tracer.dX21[tr2] = E->tracer.dX21[tr1];
E->tracer.dX22[tr2] = E->tracer.dX22[tr1];
if(3==dims) {
E->tracer.dX13[tr2] = E->tracer.dX13[tr1];
E->tracer.dX23[tr2] = E->tracer.dX23[tr1];
E->tracer.dX31[tr2] = E->tracer.dX31[tr1];
E->tracer.dX32[tr2] = E->tracer.dX32[tr1];
E->tracer.dX33[tr2] = E->tracer.dX33[tr1];
}
E->tracer.Current_phase[tr2] = E->tracer.Current_phase[tr1];
E->tracer.Equilibrium_phase[tr2] = E->tracer.Equilibrium_phase[tr1];
for(level=E->mesh.levmin;level<=E->mesh.levmax;level++)
E->tracer.tracer_elt[level][tr2] = E->tracer.tracer_elt[level][tr1];
//printf("In tracer copy, no free statements here \n");
return;
}
/* Merge two tracers tr1, tr2 to location tr1 (provided they are of the same property group).
Then fill in the hole left by tr2 with the tracer at the top of the stack */
void tracer_merge(
struct All_variables *E,
int tr1,
int tr2
)
{
void tracer_copy();
const int dims=E->mesh.nsd;
const int dofs=E->mesh.dof;
if(E->tracer.property_group[tr1] != E->tracer.property_group[tr2]) {
fprintf(stderr,"ERROR trying to merge tracers of different kinds %d & %d \n",tr1,tr2);
return;
}
/* Volume (mass) is conserved */
E->tracer.tracer_weight_fn[E->mesh.levmax][tr1] =
(E->tracer.tracer_weight_fn[E->mesh.levmax][tr1] + E->tracer.tracer_weight_fn[E->mesh.levmax][tr2]);
E->tracer.tracer_std_weighting[E->mesh.levmax][tr1] =
E->tracer.tracer_std_weighting[E->mesh.levmax][tr1]+E->tracer.tracer_std_weighting[E->mesh.levmax][tr2];
E->tracer.tracer_jacobian[E->mesh.levmax][tr1] =
(E->tracer.tracer_jacobian[E->mesh.levmax][tr1] + E->tracer.tracer_weight_fn[E->mesh.levmax][tr2]);
/* These properties are averaged */
E->tracer.yielded[tr1] = 0.5 * (E->tracer.yielded[tr1] + E->tracer.yielded[tr2]);
E->tracer.tx[tr1] = 0.5 * (E->tracer.tx[tr1]+E->tracer.tx[tr2]);
E->tracer.tz[tr1] = 0.5 * (E->tracer.tz[tr1]+E->tracer.tz[tr2]);
if(3==dims)
E->tracer.ty[tr1] = 0.5 * (E->tracer.ty[tr1]+E->tracer.ty[tr2]);
E->tracer.tx1[tr1] = 0.5 * (E->tracer.tx1[tr1]+E->tracer.tx1[tr2]);
E->tracer.tz1[tr1] = 0.5 * (E->tracer.tz1[tr1]+E->tracer.tz1[tr2]);
if(3==dims)
E->tracer.ty1[tr1] = 0.5 * (E->tracer.ty1[tr1]+E->tracer.ty1[tr2]);
if(E->control.ELASTICITY) {
E->tracer.S11[tr1] = 0.5 * (E->tracer.S11[tr1] + E->tracer.S11[tr2]);
E->tracer.S12[tr1] = 0.5 * (E->tracer.S12[tr1] + E->tracer.S12[tr2]);
E->tracer.S22[tr1] = 0.5 * (E->tracer.S22[tr1] + E->tracer.S22[tr2]);
if(3==dims & 3==dofs) {
E->tracer.S13[tr1] = 0.5 * (E->tracer.S13[tr1] + E->tracer.S13[tr2]);
E->tracer.S23[tr1] = 0.5 * (E->tracer.S23[tr1] + E->tracer.S23[tr2]);
E->tracer.S33[tr1] = 0.5 * (E->tracer.S33[tr1] + E->tracer.S33[tr2]) ;
}
else if(2==dims & 3==dofs) {
E->tracer.S21[tr1] = 0.5 * (E->tracer.S21[tr1] + E->tracer.S21[tr2]);
E->tracer.M31[tr1] = 0.5 * (E->tracer.M31[tr1] + E->tracer.M31[tr2]);
E->tracer.M32[tr1] = 0.5 * (E->tracer.M32[tr1] + E->tracer.M32[tr2]);
}
else if(6==dofs) {
E->tracer.S13[tr1] = 0.5 * (E->tracer.S13[tr1] + E->tracer.S13[tr2]);
E->tracer.S31[tr1] = 0.5 * (E->tracer.S31[tr1] + E->tracer.S31[tr2]);
E->tracer.S23[tr1] = 0.5 * (E->tracer.S23[tr1] + E->tracer.S23[tr2]);
E->tracer.S32[tr1] = 0.5 * (E->tracer.S32[tr1] + E->tracer.S32[tr2]);
E->tracer.S33[tr1] = 0.5 * (E->tracer.S33[tr1] + E->tracer.S33[tr2]);
E->tracer.S21[tr1] = 0.5 * (E->tracer.S21[tr1] + E->tracer.S21[tr2]);
E->tracer.M31[tr1] = 0.5 * (E->tracer.M31[tr1] + E->tracer.M31[tr2]);
E->tracer.M32[tr1] = 0.5 * (E->tracer.M32[tr1] + E->tracer.M32[tr2]);
E->tracer.M12[tr1] = 0.5 * (E->tracer.M12[tr1] + E->tracer.M12[tr2]);
E->tracer.M13[tr1] = 0.5 * (E->tracer.M13[tr1] + E->tracer.M13[tr2]);
E->tracer.M23[tr1] = 0.5 * (E->tracer.M23[tr1] + E->tracer.M23[tr2]);
E->tracer.M21[tr1] = 0.5 * (E->tracer.M21[tr1] + E->tracer.M21[tr2]);
}
E->tracer.Pt[tr1] = 0.5 * (E->tracer.Pt[tr1]+E->tracer.Pt[tr2]);
}
if(E->control.ORTHOTROPY) {
E->tracer.n1[tr1] = 0.5 * (E->tracer.n1[tr1]+E->tracer.n1[tr2]);
E->tracer.n2[tr1] = 0.5 * (E->tracer.n2[tr1]+E->tracer.n2[tr2]);
if(3==dims)
E->tracer.n3[tr1] = 0.5 * (E->tracer.n3[tr1]+E->tracer.n3[tr2]);
}
#if defined (CHEM_TRANS_MODULE_INSTALLED)
if(E->control.CHEM_TRANS) {
E->tracer.volfraction[tr1] = 0.5 * (E->tracer.volfraction[tr1]+E->tracer.volfraction[tr2]);
E->tracer.sigma_n[tr1] = 0.5 * (E->tracer.sigma_n[tr1]+E->tracer.sigma_n[tr2]);
}
#endif
E->tracer.T[tr1] = 0.5 * (E->tracer.T[tr1]+E->tracer.T[tr2]);
E->tracer.Q[tr1] = 0.5 * (E->tracer.Q[tr1]+E->tracer.Q[tr2]);
E->tracer.Hvisc[tr1] = 0.5 * (E->tracer.Hvisc[tr1]+E->tracer.Hvisc[tr2]);
E->tracer.weight[tr1] = 0.5 * (E->tracer.weight[tr1]+E->tracer.weight[tr2]);
E->tracer.Density_change[tr1] = 0.5 * (E->tracer.Density_change[tr1]+E->tracer.Density_change[tr2]);
E->tracer.edot[tr1] = 0.5 * (E->tracer.edot[tr1]+E->tracer.edot[tr2]);
E->tracer.strs[tr1] = 0.5 * (E->tracer.strs[tr1]+E->tracer.strs[tr2]);
E->tracer.strd[tr1] = 0.5 * (E->tracer.strd[tr1]+E->tracer.strd[tr2]);
E->tracer.depl[tr1] = 0.5 * (E->tracer.depl[tr1]+E->tracer.depl[tr2]); /*RAA: 24/09/02, C. O'Neill - melting stuff */
E->tracer.dFdot[tr1] = 0.5 * (E->tracer.dFdot[tr1]+E->tracer.dFdot[tr2]);/*RAA: 10/07/03, O'Neill - melting stuff */
E->tracer.edot_integrated[tr1] = 0.5 * (E->tracer.edot_integrated[tr1]+E->tracer.edot_integrated[tr2]);
E->tracer.edotp_integrated[tr1] = 0.5 * (E->tracer.edotp_integrated[tr1]+E->tracer.edotp_integrated[tr2]);
E->tracer.tr_dim[tr2] = 0.5 * (E->tracer.tr_dim[tr1]+E->tracer.tr_dim[tr2]);
E->tracer.DQ[tr2] = 0.5 * (E->tracer.DQ[tr1]+E->tracer.DQ[tr2]);
E->tracer.DQ1[tr2] = 0.5 * (E->tracer.DQ1[tr1]+E->tracer.DQ1[tr2]);
E->tracer.A1[tr2] = 0.5 * (E->tracer.A1[tr1]+E->tracer.A1[tr2]);
E->tracer.A2[tr2] = 0.5 * (E->tracer.A2[tr1]+E->tracer.A2[tr2]);
if(3==dims)
E->tracer.A3[tr2] = 0.5 * (E->tracer.A3[tr1]+E->tracer.A3[tr2]);
E->tracer.U1[tr2] = 0.5 * (E->tracer.U1[tr1]+E->tracer.U1[tr2]);
E->tracer.U2[tr2] = 0.5 * (E->tracer.U2[tr1]+E->tracer.U2[tr2]);
if(3==dims)
E->tracer.U3[tr2] = 0.5 * (E->tracer.U3[tr1]+E->tracer.U3[tr2]);
E->tracer.UU1[tr2] = 0.5 * (E->tracer.UU1[tr1]+E->tracer.UU1[tr2]);
E->tracer.UU2[tr2] = 0.5 * (E->tracer.UU2[tr1]+E->tracer.UU2[tr2]);
if(3==dims)
E->tracer.UU3[tr2] = 0.5 * (E->tracer.UU3[tr1]+E->tracer.UU3[tr2]);
E->tracer.dX11[tr1] = 0.5 * (E->tracer.dX11[tr1]+E->tracer.dX11[tr2]);
E->tracer.dX12[tr1] = 0.5 * (E->tracer.dX12[tr1]+E->tracer.dX12[tr2]);
E->tracer.dX21[tr1] = 0.5 * (E->tracer.dX21[tr1]+E->tracer.dX21[tr2]);
E->tracer.dX22[tr1] = 0.5 * (E->tracer.dX22[tr1]+E->tracer.dX22[tr2]);
if(3==dims) {
E->tracer.dX13[tr1] = 0.5 * (E->tracer.dX13[tr1]+E->tracer.dX13[tr2]);
E->tracer.dX23[tr1] = 0.5 * (E->tracer.dX23[tr1]+E->tracer.dX23[tr2]);
E->tracer.dX31[tr1] = 0.5 * (E->tracer.dX31[tr1]+E->tracer.dX31[tr2]);
E->tracer.dX32[tr1] = 0.5 * (E->tracer.dX32[tr1]+E->tracer.dX32[tr2]);
E->tracer.dX33[tr1] = 0.5 * (E->tracer.dX33[tr1]+E->tracer.dX33[tr2]);
}
/* Well, this might be ok, might need some refining */
E->tracer.Current_phase[tr1] = (int) (0.5 * (E->tracer.Current_phase[tr1]+E->tracer.Current_phase[tr2]));
E->tracer.Equilibrium_phase[tr1] = (int)
(0.5 * (E->tracer.Equilibrium_phase[tr1]+E->tracer.Equilibrium_phase[tr2]));
E->tracer.time_since_phase_change[tr1] = 0.5 *
(E->tracer.time_since_phase_change[tr1] + E->tracer.time_since_phase_change[tr2]);
E->tracer.phase_function[tr1] = 0.5 *
(E->tracer.phase_function[tr1] + E->tracer.phase_function[tr2]);
E->tracer.grain_size[tr1] = 0.5 *
(E->tracer.grain_size[tr1] + E->tracer.grain_size[tr2]);
/* Eta, shape functions etc are not merged - these must be
recalculated !! */
tracer_copy(E,E->tracer.NUM_TRACERS,tr2);
E->tracer.NUM_TRACERS--;
printf("In tracer merge, no frees \n");
}
/* Routine to compute tracers splitting and
eating each other.
To minimize the searches, we assume that
tracers get hungry when they are about to
split into two. This also keeps the number of
tracers close to being constant
Like black widow spiders, the bloated
tracer goes in search
of a mate and then eats him.
*/
/* ?? CAN THIS BE DONE INDEPENDENTLY
FOR THE TRACERS IN EACH ELEMENT */
void tracer_black_widow
(
struct All_variables *E,
int m
)
{
standard_precision distortion1;
standard_precision distortion2;
standard_precision distortion3;
standard_precision distance;
standard_precision delX,delZ,delY;
standard_precision element_size2;
standard_precision eta1,eta2,eta3;
int horribly_distorted;
const int dims = E->mesh.nsd;
int el,i,j,tr;
/* First obtain a measure of distortion along
each of the original principal directions */
el = E->tracer.tracer_elt[E->mesh.levmax][m];
if(3==dims) {
distortion1 =
E->tracer.dX11[m]*E->tracer.dX11[m]+
E->tracer.dX12[m]*E->tracer.dX12[m]+
E->tracer.dX13[m]*E->tracer.dX13[m];
distortion2 =
E->tracer.dX21[m]*E->tracer.dX21[m]+
E->tracer.dX22[m]*E->tracer.dX22[m]+
E->tracer.dX23[m]*E->tracer.dX23[m];
distortion3 =
E->tracer.dX31[m]*E->tracer.dX31[m]+
E->tracer.dX32[m]*E->tracer.dX32[m]+
E->tracer.dX33[m]*E->tracer.dX33[m];
element_size2 = 0.3333 * (
E->eco[el].size[1] * E->eco[el].size[1] +
E->eco[el].size[2] * E->eco[el].size[2] +
E->eco[el].size[3] * E->eco[el].size[3]);
}
else {
distortion1 =
E->tracer.dX11[m]*E->tracer.dX11[m]+
E->tracer.dX12[m]*E->tracer.dX12[m];
distortion2 =
E->tracer.dX21[m]*E->tracer.dX21[m]+
E->tracer.dX22[m]*E->tracer.dX22[m];
distortion3 = 0.0;
element_size2 = 0.1 * (
E->eco[el].size[1] * E->eco[el].size[1] +
E->eco[el].size[2] * E->eco[el].size[2]) ;
}
element_size2 = 4.0 * E->tracer.tr_dim[m] * E->tracer.tr_dim[m];
/* Otherwise, the particle is distorted and it
is HUNGRY. If there is another particle
nearby it will eat it.
*/
#if 1
for(i=0;i<E->tracer.tr_in_element_number[E->mesh.levmax][el];i++) {
tr = E->tracer.tr_in_element[E->mesh.levmax][i+E->tracer.tr_in_element_offset[E->mesh.levmax][el]];
if(tr != m && tr != -1 && tr <= E->tracer.NUM_TRACERS) {
/* m: Obviously it's bad to kill and eat yourself.
-1: Ghost- has been eaten already */
distance =
(E->tracer.tx[m]-E->tracer.tx[tr]) * (E->tracer.tx[m]-E->tracer.tx[tr]) +
(E->tracer.tz[m]-E->tracer.tz[tr]) * (E->tracer.tz[m]-E->tracer.tz[tr]) +
((2==dims) ? 0.0 : (E->tracer.ty[m]-E->tracer.ty[tr]) * (E->tracer.ty[m]-E->tracer.ty[tr]));
if((E->tracer.property_group[m] == E->tracer.property_group[tr]) &&
(E->tracer.Current_phase[m] == E->tracer.Current_phase[tr] ) &&
(distance <
(E->tracer.tr_dim[m] + E->tracer.tr_dim[tr]) *
(E->tracer.tr_dim[m] + E->tracer.tr_dim[tr]) *
E->tracer.particle_appetite )) {
tracer_merge(E,m,tr);
E->tracer.tr_in_element[E->mesh.levmax][i+E->tracer.tr_in_element_offset[E->mesh.levmax][el]] = -1;
break; /* don't be greedy */
}
}
}
#endif
if ((distortion1 < element_size2) &&
(distortion2 < element_size2) &&
(distortion3 < element_size2) ) {
/* Fat, round, happy particle */
// printf("Black widow routine \n");
return;
}
/* fprintf(stderr,"Breaking apart particle %d\n",m); */
/* Now split particle according to its distortion. We work on
the basis that the individual directions are unlikely to have
all distorted by the same amount and let only one of the directions
be triggered. This shouldn't matter because if any two are equal they
will end up being aligned
*/
if(3 == dims) {
if(distortion1 > element_size2) {
delX = (E->tracer.dX11[m] *= 0.5);
delZ = (E->tracer.dX12[m] *= 0.5);
delY = (E->tracer.dX13[m] *= 0.5);
}
else if (distortion2 > element_size2) {
delX = (E->tracer.dX21[m] *= 0.5);
delZ = (E->tracer.dX22[m] *= 0.5);
delY = (E->tracer.dX23[m] *= 0.5);
}
else /* (distortion3 > element_size2) */ {
delX = (E->tracer.dX31[m] *= 0.5);
delZ = (E->tracer.dX32[m] *= 0.5);
delY = (E->tracer.dX33[m] *= 0.5);
}
E->tracer.tracer_weight_fn[E->mesh.levmax][m] *= 0.5;
E->tracer.tracer_std_weighting[E->mesh.levmax][m] *= 0.5;
E->tracer.NUM_TRACERS++;
tracer_allocate_memory(E);
tracer_copy(E,m,E->tracer.NUM_TRACERS);
/* Shift new and old tracers apart */
E->tracer.tx[E->tracer.NUM_TRACERS] += delX;
E->tracer.tx1[E->tracer.NUM_TRACERS] += delX;
E->tracer.tz[E->tracer.NUM_TRACERS] += delZ;
E->tracer.tz1[E->tracer.NUM_TRACERS] += delZ;
E->tracer.ty[E->tracer.NUM_TRACERS] += delY;
E->tracer.ty1[E->tracer.NUM_TRACERS] += delY;
E->tracer.tx[m] -= delX;
E->tracer.tx1[m] -= delX;
E->tracer.tz[m] -= delZ;
E->tracer.tz1[m] -= delZ;
E->tracer.ty[m] -= delY;
E->tracer.ty1[m] -= delY;
/* The nature of this procedure is that it
can violate the otherwise perfect obedience to
boundary conditions
(also the particle-track crossing I suppose)
so this must be checked.
*/
el = get_tracers_element(E,m,&eta1,&eta2,&eta3,E->mesh.levmax);
if(el==-1) {
E->tracer.tx[m] += delX;
E->tracer.tz[m] += delZ;
E->tracer.ty[m] += delY;
E->tracer.tx1[m] += delX;
E->tracer.tz1[m] += delZ;
E->tracer.ty1[m] += delY;
get_tracers_element(E,m,&eta1,&eta2,&eta3,E->mesh.levmax);
}
el = get_tracers_element(E,E->tracer.NUM_TRACERS,&eta1,&eta2,&eta3,E->mesh.levmax);
if(el==-1) {
E->tracer.tx[E->tracer.NUM_TRACERS] -= delX;
E->tracer.tz[E->tracer.NUM_TRACERS] -= delZ;
E->tracer.ty[E->tracer.NUM_TRACERS] -= delY;
E->tracer.tx1[E->tracer.NUM_TRACERS] -= delX;
E->tracer.tz1[E->tracer.NUM_TRACERS] -= delZ;
E->tracer.ty1[E->tracer.NUM_TRACERS] -= delY;
get_tracers_element(E,E->tracer.NUM_TRACERS,&eta1,&eta2,&eta3,E->mesh.levmax);
}
}
else /* (2 == dims) */ { /* TWO DIMENSIONAL */
if(distortion1 > element_size2) {
delX = 1.0 * (E->tracer.dX11[m]);
delZ = 1.0 * (E->tracer.dX12[m]);
E->tracer.dX11[m] *= 0.5;
E->tracer.dX12[m] *= 0.5;
}
else /* (distortion2 > element_size2) */ {
delX = 1.0 * (E->tracer.dX21[m]);
delZ = 1.0 * (E->tracer.dX22[m]);
E->tracer.dX21[m] *= 0.5;
E->tracer.dX22[m] *= 0.5;
}
E->tracer.tracer_weight_fn[E->mesh.levmax][m] *= 0.5;
E->tracer.tracer_std_weighting[E->mesh.levmax][m] *= 0.5;
E->tracer.NUM_TRACERS++;
tracer_allocate_memory(E);
tracer_copy(E,m,E->tracer.NUM_TRACERS);
/* fprintf(stderr,"%d: Copy from %d: edotp = %g, (%g,%g) yielded=%g\n",
E->tracer.NUM_TRACERS,m,
E->tracer.edotp_integrated[m],
E->tracer.tx[m],
E->tracer.tz[m],
E->tracer.yielded[m]); */
/* Shift new and old tracers apart */
E->tracer.tx[E->tracer.NUM_TRACERS] += delX;
E->tracer.tx1[E->tracer.NUM_TRACERS] += delX;
E->tracer.tz[E->tracer.NUM_TRACERS] += delZ;
E->tracer.tz1[E->tracer.NUM_TRACERS] += delZ;
E->tracer.tx[m] -= delX;
E->tracer.tx1[m] -= delX;
E->tracer.tz[m] -= delZ;
E->tracer.tz1[m] -= delZ;
/* The nature of this procedure is that it
can violate the otherwise perfect obedience to
boundary conditions
(also the particle-track crossing I suppose)
so this must be checked.
*/
el = get_tracers_element(E,m,&eta1,&eta2,&eta3,E->mesh.levmax);
if(el==-1) {
E->tracer.tx[m] += delX;
E->tracer.tz[m] += delZ;
E->tracer.tx1[m] += delX;
E->tracer.tz1[m] += delZ;
get_tracers_element(E,m,&eta1,&eta2,&eta3,E->mesh.levmax);
}
el = get_tracers_element(E,E->tracer.NUM_TRACERS,&eta1,&eta2,&eta3,E->mesh.levmax);
if(el==-1) {
E->tracer.tx[E->tracer.NUM_TRACERS] -= delX;
E->tracer.tz[E->tracer.NUM_TRACERS] -= delZ;
E->tracer.tx1[E->tracer.NUM_TRACERS] -= delX;
E->tracer.tz1[E->tracer.NUM_TRACERS] -= delZ;
get_tracers_element(E,E->tracer.NUM_TRACERS,&eta1,&eta2,&eta3,E->mesh.levmax);
}
}
return;
}
/* Function to parcel up the element to give a good idea of
the representative volume occupied by each tracer.
This version computes a massive number of distances to see
which particles are close to which sub-regions of the element.
Although this seems wasteful it does give a result which exactly
fills the element without scaling (useful ?). It is an approximation
to computing the Voronoi diagram and doesn't worry about the edges.
It's also not as slow as you might think at first !
*/
void tracer_representative_volumes (
struct All_variables *E,
standard_precision *ETA1,
standard_precision *ETA2,
standard_precision *ETA3
)
{
int el;
int tr,m,n,i,j,k,q;
int level;
int subel,near_t,trac,new;
int subelt_tracer2[25][25];
int subelt_tracer3[25][25][25];
standard_precision xx,zz,yy,rad;
standard_precision subelt_dist2[25][25];
standard_precision subelt_dist3[25][25][25];
standard_precision eta1,eta2,eta3;
standard_precision radx,radz;
const int SUBD = 9;
const standard_precision subd2_1 = 4.0 / (SUBD * SUBD);
const standard_precision subd3_1 = 8.0 / (SUBD * SUBD * SUBD);
const standard_precision subd1_1 = 1.0 / SUBD;
/* What works best ? At the moment it seems best to
use the initial particle volumes but adjust them (elsewhere)
at each timestep to fit the constraints.
The alternative - to recompute the particle volumes each time -
works about as well, but takes considerable time. However,
this may be different in special circumstances so keep both
options available
*/
#if 0
if(3==E->mesh.nsd) {
for(el=1;el<=E->mesh.nel;el++) {
for(i=1;i<=SUBD;i++)
for(j=1;j<=SUBD;j++)
for(k=1;k<=SUBD;k++) {
subelt_dist3[i][j][k] = 1.0e32;
subelt_tracer3[i][j][k]=0;
}
for(tr=0;tr<E->tracer.tr_in_element_number[E->mesh.levmax][el];tr++) {
q = E->tracer.tr_in_element_offset[E->mesh.levmax][el] + tr;
m = E->tracer.tr_in_element[E->mesh.levmax][q];
eta1 = ETA1[m];
eta2 = ETA2[m];
eta3 = ETA3[m];
E->tracer.tracer_weight_fn[E->mesh.levmax][m] = 0.0;
for(i=1;i<=SUBD;i++) {
xx = (2.0 * i - 1.0) * subd1_1 - 1.0; /* sub-element centre */
radx = (xx-eta1)*(xx-eta1);
for(j=1;j<=SUBD;j++) {
zz = (2.0 * j - 1.0) * subd1_1 - 1.0;
radz = (zz-eta2)*(zz-eta2);
for(k=1;k<=SUBD;k++) {
yy = (2.0 * k - 1.0) * subd1_1 - 1.0;
rad = radx + radz + (yy-eta3)*(yy-eta3);
if(rad < subelt_dist3[i][j][k]) {
subelt_dist3[i][j][k] = rad;
subelt_tracer3[i][j][k] = m;
}
}
}
}
}
for(i=1;i<=SUBD;i++)
for(j=1;j<=SUBD;j++) {
for(k=1;k<=SUBD;k++)
if(subelt_tracer3[i][j][k]!=0)
E->tracer.tracer_weight_fn[E->mesh.levmax][subelt_tracer3[i][j][k]] +=
subd3_1;
}
}
}
else { /* TWO DIMENSIONS */
for(el=1;el<=E->mesh.nel;el++) {
for(i=1;i<=SUBD;i++)
for(j=1;j<=SUBD;j++) {
subelt_dist2[i][j] = 1.0e32;
subelt_tracer2[i][j]=0;
}
for(tr=0;tr<E->tracer.tr_in_element_number[E->mesh.levmax][el];tr++) {
q = E->tracer.tr_in_element_offset[E->mesh.levmax][el] + tr;
m = E->tracer.tr_in_element[E->mesh.levmax][q];
eta1 = ETA1[m];
eta2 = ETA2[m];
E->tracer.tracer_weight_fn[E->mesh.levmax][m] = 0.0;
for(i=1;i<=SUBD;i++) {
xx = (2.0 * i - 1.0) * subd1_1 - 1.0; /* sub-element centre */
radx = (xx-eta1)*(xx-eta1);
for(j=1;j<=SUBD;j++) {
zz = (2.0 * j - 1.0) * subd1_1 - 1.0;
rad = radx + (zz-eta2)*(zz-eta2);
if(rad < subelt_dist2[i][j]) {
subelt_dist2[i][j] = rad;
subelt_tracer2[i][j] = m;
}
}
}
}
for(i=1;i<=SUBD;i++)
for(j=1;j<=SUBD;j++) {
/* fprintf(stderr,"el %d, sub %d,%d -> %g to tracer %d\n",
el,i,j,4.0 * subd2_1,subelt_tracer2[i][j]); */
if(subelt_tracer2[i][j]!=0)
E->tracer.tracer_weight_fn[E->mesh.levmax][subelt_tracer2[i][j]] +=
subd2_1;
}
} /* Next element */
}
#else
for(m=1;m<=E->tracer.NUM_TRACERS;m++) {
E->tracer.tracer_weight_fn[E->mesh.levmax][m] = E->tracer.tracer_std_weighting[E->mesh.levmax][m] ;
/* fprintf(stderr,"Tracer %d; weight %g\n",m,E->tracer.tracer_weight_fn[E->mesh.levmax][m] ); */
}
#endif
/* Relative weights cascade to all levels, but will need rescaling
for the coarser meshes since the number of tracers increases
while the size of the master domain is the same */
if(3==E->mesh.nsd)
for(level=E->mesh.levmax;level>E->mesh.levmin;level--)
for(m=1;m<=E->tracer.NUM_TRACERS;m++) {
E->tracer.tracer_weight_fn[level-1][m] = 0.125 * E->tracer.tracer_weight_fn[level][m];
}
else
for(level=E->mesh.levmax;level>E->mesh.levmin;level--)
for(m=1;m<=E->tracer.NUM_TRACERS;m++) {
E->tracer.tracer_weight_fn[level-1][m] = 0.25 * E->tracer.tracer_weight_fn[level][m];
}
return;
}
void tracer_constrain_weightings (
struct All_variables *E,
standard_precision **ETA1,
standard_precision **ETA2,
standard_precision **ETA3
)
{
int i,j,k;
int ii;
int level;
int el;
int m,tr,q;
standard_precision t1,t2,t3,t4,t5,t6,t7;
standard_precision tt1,tt2,tt3,tt4,tt5,tt6,tt7;
standard_precision W1,W2,W3,W4,W5,W6,W7;
standard_precision master_volume;
standard_precision eta1,eta2,eta3;
const int dims = E->mesh.nsd;
if(3==dims)
master_volume = 8.0;
else
master_volume = 4.0;
/* First, and for all levels, we ensure that the
weights combine to give the correct element volume */
for(level=E->mesh.levmin;level<=E->mesh.levmax;level++) {
for(el=1;el<=E->mesh.NEL[level];el++) {
t1=0.0;
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
t1 += E->tracer.tracer_weight_fn[level][m];
}
if(t1 != 0.0) {
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
E->tracer.tracer_weight_fn[level][m] *= master_volume / t1;
}
}
}
}
/* Now apply the various constraints (as best
we can - it is not possible exactly) one at a time
and iteratively. Ideally this should be done at
all levels, but if done only at the highest, it
saves an enormous amount of time (we can use
the existing ETA array).
*/
#if 1
if(2==dims) {
for(level=E->mesh.levmin;level<=E->mesh.levmax;level++) {
for(el=1;el<=E->mesh.NEL[level];el++) {
for(ii=1;ii<=100;ii++) {
t1 = t2 = t3 = 0.0;
W1 = W2 = W3 = 0.0;
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
eta1 = ETA1[level][m];
eta2 = ETA2[level][m];
W1 += E->tracer.tracer_weight_fn[level][m] * eta1;
W2 += E->tracer.tracer_weight_fn[level][m] * eta2;
W3 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta2;
t1 += eta1 * eta1;
t2 += eta2 * eta2;
t3 += eta1 * eta1 * eta2 * eta2;
}
if(t1 != 0.0)
tt1 = - W1 / t1;
if(t2 != 0.0)
tt2 = - W2 / t2;
if(t3 != 0.0)
tt3 = - W3 / t3;
t1 = 0.0;
W1 = W2 = W3 = 0.0;
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
eta1 = ETA1[level][m];
eta2 = ETA2[level][m];
E->tracer.tracer_weight_fn[level][m] += tt1 * eta1 + tt2 * eta2 + tt3 * eta1 * eta2;
if(E->tracer.tracer_weight_fn[level][m] < 0.0)
E->tracer.tracer_weight_fn[level][m] = 0.0;
W1 += E->tracer.tracer_weight_fn[level][m] * eta1;
W2 += E->tracer.tracer_weight_fn[level][m] * eta2;
W3 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta2;
t1 += E->tracer.tracer_weight_fn[level][m];
}
/* And rescale the weights to maintain element volume */
if(t1 != 0.0)
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
E->tracer.tracer_weight_fn[level][m] *= 4.0 / t1;
/* fprintf(stderr,"Tracer %d/%d reweighed -> %g (%g,%g)\n",m,
level,E->tracer.tracer_weight_fn[level][m],eta1,eta2); */
}
/* The total of W1,W2,W3 should be an indicator of the
residual from this process ... */
if((fabs(W1)+fabs(W2)+fabs(W3)) < 0.1 * E->control.accuracy * t1)
break;
}
}
}
}
else /* (3==dims) */ {
for(level=E->mesh.levmin;level<=E->mesh.levmax;level++) {
for(el=1;el<=E->mesh.NEL[level];el++) {
for(ii=1;ii<=100;ii++) {
t1 = t2 = t3 = t4 = t5 = t6 = t7 = 0.0;
W1 = W2 = W3 = W4 = W5 = W6 = W7 = 0.0;
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
eta1 = ETA1[level][m];
eta2 = ETA2[level][m];
eta3 = ETA3[level][m];
W1 += E->tracer.tracer_weight_fn[level][m] * eta1;
W2 += E->tracer.tracer_weight_fn[level][m] * eta2;
W3 += E->tracer.tracer_weight_fn[level][m] * eta3;
W4 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta2;
W5 += E->tracer.tracer_weight_fn[level][m] * eta2 * eta3;
W6 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta3;
W7 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta2 * eta3;
t1 += eta1 * eta1;
t2 += eta2 * eta2;
t3 += eta3 * eta3;
t4 += eta1 * eta2 * eta1 * eta2;
t5 += eta2 * eta3 * eta2 * eta3;
t6 += eta1 * eta3 * eta1 * eta3;
t7 += eta1 * eta1 * eta2 * eta2 * eta3 * eta3;
}
if(t1 != 0.0)
tt1 = - W1 / t1;
if(t2 != 0.0)
tt2 = - W2 / t2;
if(t3 != 0.0)
tt3 = - W3 / t3;
if(t4 != 0.0)
tt4 = - W4 / t4;
if(t5 != 0.0)
tt5 = - W5 / t5;
if(t6 != 0.0)
tt6 = - W6 / t6;
if(t7 != 0.0)
tt7 = - W7 / t7;
t1 = t2 = t3 = t4 = t5 = t6 = t7 = 0.0;
W1 = W2 = W3 = W4 = W5 = W6 = W7 = 0.0;
for(tr=0;tr<E->tracer.tr_in_element_number[level][el];tr++) {
q = E->tracer.tr_in_element_offset[level][el] + tr;
m = E->tracer.tr_in_element[level][q];
eta1 = ETA1[level][m];
eta2 = ETA2[level][m];
eta3 = ETA3[level][m];
E->tracer.tracer_weight_fn[level][m] +=
tt1 * eta1 +
tt2 * eta2 +
tt3 * eta3 +
tt4 * eta1 * eta2 +
tt5 * eta2 * eta3 +
tt6 * eta1 * eta3 +
tt7 * eta1 * eta2 * eta3;
if(E->tracer.tracer_weight_fn[level][m] < 0.0)
E->tracer.tracer_weight_fn[level][m] = 0.0;
W1 += E->tracer.tracer_weight_fn[level][m] * eta1;
W2 += E->tracer.tracer_weight_fn[level][m] * eta2;
W3 += E->tracer.tracer_weight_fn[level][m] * eta3;
W4 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta2;
W5 += E->tracer.tracer_weight_fn[level][m] * eta2 * eta3;
W6 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta3;
W7 += E->tracer.tracer_weight_fn[level][m] * eta1 * eta2 * eta3;
t1 += E->tracer.tracer_weight_fn[level][m];
}
/* And rescale the weights once more to maintain element volume */