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cooling_metal_noH2.c
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cooling_metal_noH2.c
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#include "mode.h"
#ifdef GASOLINE
#ifndef NOCOOLING
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <assert.h>
/* #include <rpc/xdr.h> */
/* Usage/Interfaces:
Functions starting with
Cool are public: intended to be used by outside callers
cl are private: only intended for using by cooling routine itself
*/
/* General accuracy target */
#define EPS 1e-5
#define MAXABUNDITERATIONS 20
/* Accuracy for Temperature estimation for E,rho assuming eqm abundances */
#define EPSTEMP 1e-5
#define ETAMINTIMESTEP 1e-4
/* This min is to prevent Y_e = 0 which shuts off all collisional processes (cooling, recomb or ionization)
and prevents unphysical negative Y_e (resulting from roundoff)
This is important for cases with no cosmic rays or UV
*/
#define Y_EMIN 1e-7
/* #define CUBICTABLEINTERP */
/* #define USETABLE */
#define CLRATES( _cl, _Rate, _T, _rho, _ZMetal, _mach) clRates( _cl, _Rate, _T, _rho, _ZMetal, mach)
#define CLEDOTINSTANT( _cl, _Y, _Rate, _rho, _ZMetal ) clEdotInstant( _cl, _Y, _Rate, _rho, _ZMetal)
#define TABLEFACTOR 1
#define TABLEINTERP( _rname ) (wTln0*RT0->_rname+wTln1*RT1->_rname)
#include "stiff.h"
#if defined(COOLDEBUG) || defined(STARFORM) || defined(SIMPLESF)
#include "pkd.h"
#else
#include "cooling.h"
#endif
#include "outtype.h"
/* Integrator constants */
/* Accuracy target for integrators */
#define EPSINTEG 1e-3
#define WARNINTEGITS 100
#define MAXINTEGITS 10000
#define CL_eHI (13.60*CL_eV_erg)
#define CL_eHeI (24.59*CL_eV_erg)
#define CL_eHeII (54.42*CL_eV_erg)
#define CL_E2HeII (3.0*13.6*CL_eV_erg)
#define EMUL (1.000001)
#define M_H 1.672e-24
#define SUM_Metal 0.0184707
COOL *CoolInit( )
{
COOL *cl;
cl = (COOL *) malloc(sizeof(COOL));
assert(cl!=NULL);
cl->nUV = 0;
cl->UV = NULL;
cl->nTable = 0;
cl->RT = NULL;
cl->MetalCoolln = NULL;
cl->MetalHeatln = NULL;
cl->nTableRead = 0; /* Internal Tables read from Files */
cl->DerivsData = malloc(sizeof(clDerivsData));
assert(cl->DerivsData != NULL);
((clDerivsData *) (cl->DerivsData))->IntegratorContext =
StiffInit( EPSINTEG, 4, cl->DerivsData, clDerivs, clJacobn );
return cl;
}
void CoolFinalize(COOL *cl )
{
StiffFinalize( ((clDerivsData *) (cl->DerivsData))->IntegratorContext );
free(cl->DerivsData);
if (cl->UV != NULL) free(cl->UV);
if (cl->RT != NULL) free(cl->RT);
if (cl->MetalCoolln != NULL) free(cl->MetalCoolln);
if (cl->MetalHeatln != NULL) free (cl->MetalHeatln);
free(cl);
}
void clInitConstants( COOL *cl, double dGmPerCcUnit, double dComovingGmPerCcUnit,
double dErgPerGmUnit, double dSecUnit, double dKpcUnit, double dMsolUnit, COOLPARAM CoolParam)
{
assert(cl!=NULL);
cl->dGmPerCcUnit = dGmPerCcUnit;
cl->dComovingGmPerCcUnit = dComovingGmPerCcUnit;
cl->dErgPerGmUnit = dErgPerGmUnit;
cl->dSecUnit = dSecUnit;
cl->dErgPerGmPerSecUnit = cl->dErgPerGmUnit / cl->dSecUnit;
cl->diErgPerGmUnit = 1./dErgPerGmUnit;
cl->dKpcUnit = dKpcUnit;
cl->dMsolUnit = dMsolUnit;
cl->dMassFracHelium = CoolParam.dMassFracHelium;
cl->bUV = CoolParam.bUV;
cl->bUVTableUsesTime = CoolParam.bUVTableUsesTime;
cl->bUVTableLinear = CoolParam.bUVTableUsesTime; /* Linear if using time */
cl->bLowTCool = CoolParam.bLowTCool;
cl->bSelfShield = CoolParam.bSelfShield;
cl->bMetal = CoolParam.bMetal;
{
clDerivsData *Data = cl->DerivsData;
assert(Data != NULL);
Data->cl = cl;
Data->dlnE = (log(EMUL)-log(1/EMUL));
}
}
/* caculate the number fraction YH, YHe as a function of metalicity. Cosmic
production rate of helium relative to metals (in mass)
delta Y/delta Z = 2.1 and primordial He Yp = 0.236 (Jimenez et al. 2003,Science
299, 5612.
piecewise linear
Y = Yp + dY/dZ*ZMetal up to ZMetal = 0.1, then linear decrease to 0 at Z=1)
SUM_Metal = sum(ni/nH *mi),it is a fixed number for cloudy abundance.
Massfraction fmetal = Z*SUM_metal/(1 + 4*nHe/nH + Z*SUM_metal) (1)
4*nHe/nH = mHe/mH = fHe/fH
also fH + fHe + fMetal = 1 (2)
if fHe specified, combining the 2 eq above will solve for
fH and fMetal
a = CoolParam.dMassFracHelium;
c = SUM_Metal*ZMetal;
fH = (-(2.0*a + a*c -1) + sqrt(pow((2.*a+a*c-1),2.)-4.0*a*(1+c)*(a-1)))/(2.*(1+c));
fMetal = 1.0 - fH - CoolParam.dMassFracHelium;
*/
void clSetAbundanceTotals(COOL *cl, double ZMetal, double *pY_H, double *pY_He, double *pY_eMax) {
double Y_H, Y_He;
if (ZMetal <= 0.1) {
Y_He = (0.236 + 2.1*ZMetal)/4.0;
}
else {
Y_He = (-0.446*(ZMetal - 0.1)/0.9 + 0.446)/4.0;
}
Y_H = 1.0 - Y_He*4.0 - ZMetal;
*pY_H = Y_H;
*pY_He = Y_He;
*pY_eMax = Y_H+ Y_He*2; /* Ignoring any electrons from metals */
}
void CoolPARTICLEtoPERBARYON(COOL *cl, PERBARYON *Y, COOLPARTICLE *cp, double ZMetal) {
double Y_H, Y_He, Y_eMax;
clSetAbundanceTotals(cl,ZMetal,&Y_H,&Y_He,&Y_eMax);
Y->HI = cp->f_HI*Y_H;
Y->HII = Y_H - Y->HI;
Y->HeI = cp->f_HeI*Y_He;
Y->HeII = cp->f_HeII*Y_He;
Y->HeIII = Y_He - Y->HeI - Y->HeII;
Y->e = Y->HII + Y->HeII + 2*Y->HeIII;
Y->Total = Y->e + Y_H + Y_He + ZMetal/MU_METAL;
}
void CoolPERBARYONtoPARTICLE(COOL *cl, PERBARYON *Y, COOLPARTICLE *cp, double ZMetal) {
double Y_H, Y_He, Y_eMax;
clSetAbundanceTotals(cl,ZMetal,&Y_H,&Y_He,&Y_eMax);
cp->f_HI = Y->HI/Y_H;
cp->f_HeI = Y->HeI/Y_He;
cp->f_HeII = Y->HeII/Y_He;
}
/*Returns baryonic fraction for a given species*/
FLOAT COOL_ARRAY0(COOL *cl, COOLPARTICLE *cp, double ZMetal) {
double Y_H, Y_He, Y_eMax;
clSetAbundanceTotals(cl,ZMetal,&Y_H,&Y_He,&Y_eMax);
return (cp->f_HI*Y_H);
}
FLOAT COOL_ARRAY1(COOL *cl, COOLPARTICLE *cp, double ZMetal) {
double Y_H, Y_He, Y_eMax;
clSetAbundanceTotals(cl,ZMetal,&Y_H,&Y_He,&Y_eMax);
return (cp->f_HeI*Y_He);
}
FLOAT COOL_ARRAY2(COOL *cl, COOLPARTICLE *cp, double ZMetal) {
double Y_H, Y_He, Y_eMax;
clSetAbundanceTotals(cl,ZMetal,&Y_H,&Y_He,&Y_eMax);
return (cp->f_HeII*Y_He);
}
FLOAT COOL_ARRAY3(COOL *cl, COOLPARTICLE *cp, double ZMetal) {
double Y_H, Y_He, Y_eMax;
clSetAbundanceTotals(cl,ZMetal,&Y_H,&Y_He,&Y_eMax);
return 0.0;
}
/*Stupid array to print out Column denisties*/
FLOAT COOL_SHEAR_ARRAY(double c, double curlv0, double curlv1, double curlv2, int iOrd) {
double mach;
if (c == 0) mach = 1.0;
else mach = sqrt(curlv0*curlv0 + curlv1*curlv1 + curlv2*curlv2)/c;
return mach;
}
void clReadMetalTable(COOL *cl, COOLPARAM clParam)
{
int i,j,k,l, nt, nnH, nz;
double dt, dnH, dz, tminlog, tmaxlog, nHminlog, nHmaxlog,zmin,zmax;
FILE *fp;
XDR xdrs;
/* fp = fopen(clParam.CoolInFile, "r"); */
fp = fopen("cooltable_xdr", "r");
assert(fp != NULL);
fscanf(fp, "%d %lf %lf %lf \n",&nz, &zmin, &zmax, &dz);
fscanf(fp, "%d %lf %lf %lf \n",&nnH, &nHminlog ,&nHmaxlog,&dnH);
fscanf(fp, "%d %lf %lf %lf \n",&nt, &tminlog, &tmaxlog, &dt);
cl->bMetal = clParam.bMetal;
cl->nzMetalTable = nz;
cl->nnHMetalTable = nnH;
cl->nTMetalTable = nt;
cl->MetalTMin = pow(10.0, tminlog);
cl->MetalTMax = pow(10.0, tmaxlog);
cl->MetalnHMin = pow(10.0, nHminlog); /* Note: here nH means mass density */
cl->MetalnHMax = pow(10.0, nHmaxlog);
cl->MetalzMin = zmin;
cl->MetalzMax = zmax;
cl->MetalTlogMin = tminlog;
cl->MetalTlogMax = tmaxlog;
cl->MetalnHlogMin = nHminlog;
cl->MetalnHlogMax = nHmaxlog;
/* printf("MetalRate-> nz: %#2f, zmin: %#2f, zmax: %#2f, dz: %#2f\n",nz, zmin, zmax, dz);
printf("MetalRate-> nnH: %#2f, nHmin: %#2f, nHmax: %#2f, dnH: %#2f\n",nnH, nHminlog, nHmaxlog, dnH);
printf("MetalRate-> nt: %#2f, tmin: %#2f, tmax: %#2f, dt: %#2f\n",nt, tminlog, tmaxlog, dt);*/
cl->rDeltaTlog = 1./dt;
cl->rDeltanHlog = 1./dnH;
cl->rDeltaz = 1./dz;
cl->nUV = nz -1;
cl->UV = (UVSPECTRUM *)malloc(sizeof(UVSPECTRUM)*(cl->nUV));
/* 3D table, f = f(T, rho, z), in redshift the order is from high z-->low z,
density and temperature are in the order low --> high */
cl->MetalCoolln = (float ***)malloc(nz*sizeof(float ***));
for (i=0; i<=nz-1;i++){
cl->MetalCoolln[i] = (float **) malloc(nnH*sizeof(float **));
}
for (i=0; i<=nz-1;i++){
for(j=0; j<=nnH-1; j++){
cl->MetalCoolln[i][j] = (float *) malloc(nt*sizeof(float *));
}
}
cl->MetalHeatln = (float ***)malloc(nz*sizeof(float ***));
for (i=0; i<=nz-1;i++){
cl->MetalHeatln[i] = (float **) malloc(nnH*sizeof(float **));
}
for (i=0; i<=nz-1;i++){
for(j=0; j<=nnH-1; j++){
cl->MetalHeatln[i][j] = (float *) malloc(nt*sizeof(float *));
}
}
/* for(;;){
fscanf(fp, "%s", comments);
if (comments[0] eq "$") break;
} */
xdrstdio_create(&xdrs, fp, XDR_DECODE);
for(j=0; j<=nnH-1; j++){
for(k=0; k<=nt-1; k++){
xdr_float(&xdrs, &cl->MetalCoolln[0][j][k]); /*redshift: i, density: j, temperature: k */
xdr_float(&xdrs, &cl->MetalHeatln[0][j][k]);
}
}
for(i=nz-2, l=0; i>=0; i--,l++){
xdr_double(&xdrs, &cl->UV[l].zTime);
xdr_double(&xdrs, &cl->UV[l].Rate_Phot_HI);
xdr_double(&xdrs, &cl->UV[l].Rate_Phot_HeI);
xdr_double(&xdrs, &cl->UV[l].Rate_Phot_HeII);
xdr_double(&xdrs, &cl->UV[l].Heat_Phot_HI);
xdr_double(&xdrs, &cl->UV[l].Heat_Phot_HeI);
xdr_double(&xdrs, &cl->UV[l].Heat_Phot_HeII);
for(j=0; j<=nnH-1; j++){
for(k=0; k<=nt-1; k++){
xdr_float(&xdrs, &cl->MetalCoolln[l+1][j][k]);
xdr_float(&xdrs, &cl->MetalHeatln[l+1][j][k]);
}
}
}
fclose(fp);
/* printf("Cooling, Heating, %e %e \n", exp(cl->MetalCoolln[90][80][60]), exp(cl->MetalHeatln[90][80][60]) ); */
return;
}
void clInitUV(COOL *cl, int nTableColumns, int nTableRows, double *dTableData )
{
int i;
printf("call clInit UV...\n");
assert(cl!=NULL);
assert(cl->UV == NULL);
assert(nTableColumns == 7);
cl->nUV = nTableRows;
cl->UV = (UVSPECTRUM *) malloc(nTableRows*sizeof(UVSPECTRUM));
assert(cl->UV!=NULL);
for (i=0;i<nTableRows;i++) {
(cl->UV)[i].zTime = dTableData[i*nTableColumns];
(cl->UV)[i].Rate_Phot_HI = dTableData[i*nTableColumns+1];
(cl->UV)[i].Rate_Phot_HeI = dTableData[i*nTableColumns+2];
(cl->UV)[i].Rate_Phot_HeII = dTableData[i*nTableColumns+3];
(cl->UV)[i].Heat_Phot_HI = dTableData[i*nTableColumns+4];
(cl->UV)[i].Heat_Phot_HeI = dTableData[i*nTableColumns+5];
(cl->UV)[i].Heat_Phot_HeII = dTableData[i*nTableColumns+6];
/* Make sure the heating is in units of ergs per ionization */
assert( (cl->UV)[i].Heat_Phot_HI>1e-15 && (cl->UV)[i].Heat_Phot_HI<1e-10);
if (i) assert (((cl->UV)[i-1].zTime > (cl->UV)[i].zTime
&& !cl->bUVTableUsesTime) ||
((cl->UV)[i-1].zTime < (cl->UV)[i].zTime
&& cl->bUVTableUsesTime));
}
}
void clInitRatesTable( COOL *cl, double TMin, double TMax, int nTable ) {
/*-----------------------------------------------------------------
* Function of ln(T) tables:
* cl assumed to be predefined (allocated)
* A table spacing of 1.23e-3 in log(T) eg. nTable=15001 10->1e9 K
* Maximum 1% errors except at discontinuities in the functions.
* Storage for such a table is (15001*15*4|8b) => 0.9|1.7 Mb
*-----------------------------------------------------------------*/
int i,j;
double DeltaTln, Tln, T;
assert(cl!=NULL);
assert(cl->RT == NULL);
cl->R.Cool_Coll_HI = CL_eHI*CL_B_gm;
cl->R.Cool_Coll_HeI = CL_eHeI*CL_B_gm;
cl->R.Cool_Coll_HeII = CL_eHeII*CL_B_gm;
cl->R.Cool_Diel_HeII = (CL_E2HeII+CL_eHeI)*CL_B_gm;
cl->nTable = nTable;
cl->TMin = TMin;
cl->TMax = TMax;
cl->TlnMin = log( TMin );
cl->TlnMax = log( TMax );
DeltaTln = ( cl->TlnMax-cl->TlnMin )/( nTable - 1 );
/* printf("DeltaTln %e\n",DeltaTln); */
cl->rDeltaTln = 1./DeltaTln;
cl->RT = (RATES_T *) malloc( nTable * sizeof(RATES_T) * TABLEFACTOR );
assert(cl->RT != NULL);
for ( j=0; j<nTable; j++ ) {
Tln = cl->TlnMin + DeltaTln*j;
T=exp(Tln);
i = j*TABLEFACTOR;
(cl->RT+i)->Rate_Coll_HI = clRateCollHI( T );
if ( (cl->RT+i)->Rate_Coll_HI < CL_RT_MIN ) (cl->RT+i)->Rate_Coll_HI = CL_RT_MIN;
(cl->RT+i)->Rate_Coll_HeI = clRateCollHeI( T );
if ( (cl->RT+i)->Rate_Coll_HeI < CL_RT_MIN ) (cl->RT+i)->Rate_Coll_HeI = CL_RT_MIN;
(cl->RT+i)->Rate_Coll_HeII = clRateCollHeII( T );
if ( (cl->RT+i)->Rate_Coll_HeII < CL_RT_MIN ) (cl->RT+i)->Rate_Coll_HeII = CL_RT_MIN;
(cl->RT+i)->Rate_Radr_HII = clRateRadrHII( T );
(cl->RT+i)->Rate_Radr_HeII = clRateRadrHeII( T );
(cl->RT+i)->Rate_Radr_HeIII = clRateRadrHeIII( T );
(cl->RT+i)->Rate_Diel_HeII = clRateDielHeII( T );
(cl->RT+i)->Rate_Chtr_HeII = clRateChtrHeII( T );
(cl->RT+i)->Cool_Brem_1 = clCoolBrem1( T );
(cl->RT+i)->Cool_Brem_2 = clCoolBrem2( T );
(cl->RT+i)->Cool_Radr_HII = clCoolRadrHII( T );
(cl->RT+i)->Cool_Radr_HeII = clCoolRadrHeII( T );
(cl->RT+i)->Cool_Radr_HeIII = clCoolRadrHeIII( T );
(cl->RT+i)->Cool_Line_HI = clCoolLineHI( T );
(cl->RT+i)->Cool_Line_HeI = clCoolLineHeI( T );
(cl->RT+i)->Cool_Line_HeII = clCoolLineHeII( T );
(cl->RT+i)->Cool_LowT = clCoolLowT( T );
}
}
void clRatesTableError( COOL *cl ) {
/* This estimates the error for a table of half the size of
* the current one.
* The collisional, dielectric and line cooling rates can all go to
* zero (minimum) and will even for double precision (exp(-1e5/T))
* the critical values that must never get down to zero
* are the radiative recombination rates: Check this before using
* CL_RT_FLOAT float for the table.
*/
int i,j,ierr[15];
double min[15],max[15];
double err,maxerr[15];
CL_RT_FLOAT *p,*p1,*p2;
for (j=0;j<15;j++) {
maxerr[j]=0.0;
min[j]=1e300;
max[j]=-1e300;
}
for ( i=1; i<cl->nTable-1; i+=2 ) {
p = (CL_RT_FLOAT *) &((cl->RT+i)->Rate_Coll_HI);
p1 = (CL_RT_FLOAT *) &((cl->RT+i-1)->Rate_Coll_HI);
p2 = (CL_RT_FLOAT *) &((cl->RT+i+1)->Rate_Coll_HI);
if (i==10001) {
printf(" Comp %i %i %e %e\n",i,(int) sizeof(CL_RT_FLOAT),p[1],(cl->RT+i)->Rate_Coll_HeI);
}
for (j=0;j<15;j++) {
if (p[j] < min[j]) min[j]=p[j];
if (p[j] > max[j]) max[j]=p[j];
err= fabs((0.5*(p1[j]+p2[j])-p[j])/(p[j]+1e-30));
if (err > maxerr[j] ) {
maxerr[j]=err;
ierr[j]=i;
}
}
}
for (j=0;j<15;j++) {
printf("Col %i Max Error: %e at T=%e dlnT=%e (min %e max %e)\n",j,
maxerr[j],exp(cl->TlnMin+ierr[j]/cl->rDeltaTln),2/cl->rDeltaTln,min[j],max[j]);
}
}
#define CL_Ccomp0 0.565e-9
#define CL_Tcmb0 2.735
#define CL_Ccomp (CL_Ccomp0*CL_Tcmb0)
void clRatesRedshift( COOL *cl, double zIn, double dTimeIn ) {
int i;
double xx;
double zTime;
UVSPECTRUM *UV,*UV0;
double Y_H, Y_He, Y_eMax;
/* printf("Redshift: %f \n", zIn); */
/* cl->z = 0.0; */
cl->z = zIn;
cl->dTime = dTimeIn;
cl->dComovingGmPerCcUnit = cl->dGmPerCcUnit*pow(1.+zIn,3.);
cl->R.Cool_Comp = pow((1+zIn)*CL_Ccomp,4.0)*CL_B_gm;
cl->R.Tcmb = CL_Tcmb0*(1+zIn);
clSetAbundanceTotals(cl,0.0,&Y_H,&Y_He,&Y_eMax); /* Hack to estimate Y_H */
cl->R.Cool_LowTFactor = (cl->bLowTCool ? CL_B_gm*Y_H*Y_H/0.001 : 0 );
/* Photo-Ionization rates */
UV = cl->UV;
if (cl->bUV) {
assert( UV != NULL );
if (cl->bUVTableUsesTime) {
/*
** Table in order of increasing time
*/
zTime = dTimeIn;
for ( i=0; i < cl->nUV && zTime >= UV->zTime ; i++,UV++ );
}
else {
/*
** Table in order of high to low redshift
*/
zTime = zIn;
for ( i=0; i < cl->nUV && zTime <= UV->zTime ; i++,UV++ );//printf("i: %d, cl->nUV: %d, zTime: %f, UV->zTime %f\n",i, cl->nUV,zTime, UV->zTime);
}
}
if (!cl->bUV || i==0) {
cl->R.Rate_Phot_HI = CL_RT_MIN;
cl->R.Rate_Phot_HeI = CL_RT_MIN;
cl->R.Rate_Phot_HeII = CL_RT_MIN;
cl->R.Heat_Phot_HI = 0.0;
cl->R.Heat_Phot_HeI = 0.0;
cl->R.Heat_Phot_HeII = 0.0;
return;
}
UV0=UV-1;
/* printf("i: %d, cl->nUV: %d, zTime: %f, UV0->zTime %f\n",i-1, cl->nUV,zTime, UV0->zTime);*/
if (i == cl->nUV ) {
cl->R.Rate_Phot_HI = UV0->Rate_Phot_HI;
cl->R.Rate_Phot_HeI = UV0->Rate_Phot_HeI;
cl->R.Rate_Phot_HeII = UV0->Rate_Phot_HeII;
cl->R.Heat_Phot_HI = UV0->Heat_Phot_HI*CL_B_gm;
cl->R.Heat_Phot_HeI = UV0->Heat_Phot_HeI*CL_B_gm;
cl->R.Heat_Phot_HeII = UV0->Heat_Phot_HeII*CL_B_gm;
}
else {
if (cl->bUVTableLinear) { /* use Linear interpolation */
xx = (zTime - UV0->zTime)/(UV->zTime - UV0->zTime);
cl->R.Rate_Phot_HI = UV0->Rate_Phot_HI*(1-xx)+UV->Rate_Phot_HI*xx;
cl->R.Rate_Phot_HeI = UV0->Rate_Phot_HeI*(1-xx)+UV->Rate_Phot_HeI*xx;
cl->R.Rate_Phot_HeII = UV0->Rate_Phot_HeII*(1-xx)+UV->Rate_Phot_HeII*xx;
cl->R.Heat_Phot_HI = (UV0->Heat_Phot_HI*(1-xx)+UV->Heat_Phot_HI*xx)*CL_B_gm;
cl->R.Heat_Phot_HeI = (UV0->Heat_Phot_HeI*(1-xx)+UV->Heat_Phot_HeI*xx)*CL_B_gm;
cl->R.Heat_Phot_HeII = (UV0->Heat_Phot_HeII*(1-xx)+UV->Heat_Phot_HeII*xx)*CL_B_gm;
}
else { /* use Log interpolation with 1+zTime */
xx = log((1+zTime)/(1+UV0->zTime))/log((1+UV->zTime)/(1+UV0->zTime));
cl->R.Rate_Phot_HI = pow(UV0->Rate_Phot_HI,1-xx)*pow(UV->Rate_Phot_HI,xx);
cl->R.Rate_Phot_HeI = pow(UV0->Rate_Phot_HeI,1-xx)*pow(UV->Rate_Phot_HeI,xx);
cl->R.Rate_Phot_HeII = pow(UV0->Rate_Phot_HeII,1-xx)*pow(UV->Rate_Phot_HeII,xx);
cl->R.Heat_Phot_HI = pow(UV0->Heat_Phot_HI,1-xx)*pow(UV->Heat_Phot_HI,xx)*CL_B_gm;
cl->R.Heat_Phot_HeI = pow(UV0->Heat_Phot_HeI,1-xx)*pow(UV->Heat_Phot_HeI,xx)*CL_B_gm;
cl->R.Heat_Phot_HeII = pow(UV0->Heat_Phot_HeII,1-xx)*pow(UV->Heat_Phot_HeII,xx)*CL_B_gm;
}
}
if (cl->R.Rate_Phot_HI < CL_RT_MIN) cl->R.Rate_Phot_HI = CL_RT_MIN;
if (cl->R.Rate_Phot_HeI < CL_RT_MIN) cl->R.Rate_Phot_HeI = CL_RT_MIN;
if (cl->R.Rate_Phot_HeII < CL_RT_MIN) cl->R.Rate_Phot_HeII = CL_RT_MIN;
/*
printf("Cooling Rates for t(%1i)=%g, Z=%g: %g %g %g %g %g %g\n",cl->bUVTableUsesTime,dTimeIn,zIn,cl->R.Rate_Phot_HI,cl->R.Rate_Phot_HeI,cl->R.Rate_Phot_HeII,cl->R.Heat_Phot_HI,cl->R.Heat_Phot_HeI,cl->R.Heat_Phot_HeII);
*/
return;
}
double AP_log_den_mp_percm3[] = { -10.25, -9.75, -9.25, -8.75, -8.25, -7.75, -7.25,
-6.75, -6.25, -5.75, -5.25, -4.75, -4.25, -3.75,
-3.25, -2.75, -2.25,
-1.75, -1.25, -0.75, -0.25, 0.25, 0.75, 1.25, 1.75, 2.25 };
double AP_Gamma_HI_factor[] = { 0.99805271764596307, 0.99877911567687988, 0.99589340865612034,
0.99562060764857702, 0.99165170359332663, 0.9900889877822455,
0.98483276828954668, 0.97387675312245325, 0.97885673164000397,
0.98356305803821331, 0.96655786672182487, 0.9634906824933207,
0.95031917373653985, 0.87967606627349137, 0.79917533618355074,
0.61276011113763151, 0.16315185162187529, 0.02493663181368239,
0.0044013580765645335, 0.00024172553511936628, 1.9576102058649783e-10,
0.0, 0.0, 0.0, 0.0, 0.0 };
double AP_Gamma_HeI_factor[] = { 0.99284882980782224, 0.9946618686265097, 0.98641914356740497,
0.98867015777574848, 0.96519214493135597, 0.97188336387980656,
0.97529866247535113 , 0.97412477991428936, 0.97904139838765991,
0.98368372768570034, 0.96677432842215549, 0.96392622083382651,
0.95145730833093178, 0.88213871255482879, 0.80512823597731886,
0.62474472739578646, 0.17222786134467002, 0.025861959933038869,
0.0045265030237581529, 0.00024724339438128221, 1.3040144591221284e-08,
0.0, 0.0, 0.0, 0.0, 0.0};
double AP_Gamma_HeII_factor[] = { 0.97990208047216765, 0.98606251822654412,
0.97657215632444849, 0.97274858503068629, 0.97416108746560681,
0.97716929017896703, 0.97743607605974214, 0.97555305775319012,
0.97874250764784809, 0.97849791914637996, 0.95135572977973504,
0.92948461312852582, 0.89242272355549912, 0.79325512242742746 ,
0.6683745597121028, 0.51605924897038324, 0.1840253816147828,
0.035905775349044489, 0.0045537756654992923, 0.00035933897136804514,
1.2294426136470751e-6, 0.0, 0.0, 0.0, 0.0, 0.0 };
void clRates( COOL *cl, RATE *Rate, double T, double rho, double ZMetal, double mach) {
double Tln;
if (T >= cl->TMax) T=cl->TMax*(1.0 - EPS);
if (T < cl->TMin) T=cl->TMin;
Tln = log(T); /* Deprecated but log's, sqrt's etc... used in raw rate functions */
Rate->T = T;
Rate->Tln = Tln;
Rate->Coll_HI = clRateCollHI( T );
Rate->Coll_HeI = clRateCollHeI( T );
Rate->Coll_HeII = clRateCollHeII( T );
Rate->Radr_HII = clRateRadrHII( T );
Rate->Radr_HeII = clRateRadrHeII( T );
Rate->Diel_HeII = clRateDielHeII( T );
Rate->Chtr_HeII = clRateChtrHeII( T );
Rate->Totr_HeII = Rate->Radr_HeII + Rate->Diel_HeII + Rate->Chtr_HeII;
Rate->Radr_HeIII = clRateRadrHeIII( T );
Rate->Phot_HI = cl->R.Rate_Phot_HI;
Rate->Phot_HeI = cl->R.Rate_Phot_HeI;
Rate->Phot_HeII = cl->R.Rate_Phot_HeII;
if (cl->bSelfShield) {
double logen_B;
logen_B = log10(rho*CL_B_gm);
if (logen_B > 2.2499) {
Rate->Phot_HI = 0;
Rate->Phot_HeI = 0;
Rate->Phot_HeII = 0;
}
else if (logen_B > -10.25) {
double x = (logen_B+10.25)*2.0;
int ix;
ix = floor(x);
x -= ix;
Rate->Phot_HI *= (AP_Gamma_HI_factor[ix]*(1-x)+AP_Gamma_HI_factor[ix+1]*x);
Rate->Phot_HeI *= (AP_Gamma_HeI_factor[ix]*(1-x)+AP_Gamma_HeI_factor[ix+1]*x);
Rate->Phot_HeII *= (AP_Gamma_HeII_factor[ix]*(1-x)+AP_Gamma_HeII_factor[ix+1]*x);
}
}
}
#define TABLEINTERPLIN( _rname ) (wTln0*RT0->_rname+wTln1*RT1->_rname)
void clRates_Table_Lin( COOL *cl, RATE *Rate, double T, double rho, double ZMetal, double mach) {
double Tln;
double xTln,wTln0,wTln1;/*,wTln0d,wTln1d;*/
RATES_T *RT0,*RT1; /**RT0d,*RT1d;*/
int iTln;
if (T >= cl->TMax) T=cl->TMax*(1.0 - EPS);
if (T < cl->TMin) T=cl->TMin;
Tln = log(T);
Rate->T = T;
Rate->Tln = Tln;
xTln = (Tln-cl->TlnMin)*cl->rDeltaTln;
iTln = xTln;
RT0 = (cl->RT+iTln*TABLEFACTOR);
RT1 = RT0+TABLEFACTOR;
xTln = xTln-iTln;
wTln1 = xTln;
wTln0 = 1-xTln;
Rate->Coll_HI = TABLEINTERPLIN( Rate_Coll_HI );
Rate->Radr_HII = TABLEINTERPLIN( Rate_Radr_HII );
Rate->Radr_HeII = TABLEINTERPLIN( Rate_Radr_HeII );
Rate->Diel_HeII = TABLEINTERPLIN( Rate_Diel_HeII );
Rate->Chtr_HeII = TABLEINTERPLIN( Rate_Chtr_HeII );
Rate->Totr_HeII = Rate->Radr_HeII + Rate->Diel_HeII + Rate->Chtr_HeII;
Rate->Radr_HeIII = TABLEINTERPLIN( Rate_Radr_HeIII );
Rate->Phot_HI = cl->R.Rate_Phot_HI;
Rate->Phot_HeI = cl->R.Rate_Phot_HeI;
Rate->Phot_HeII = cl->R.Rate_Phot_HeII;
if (cl->bSelfShield) {
double logen_B;
logen_B = log10(rho*CL_B_gm);
if (logen_B > 2.2499) {
Rate->Phot_HI = 0;
Rate->Phot_HeI = 0;
Rate->Phot_HeII = 0;
}
else if (logen_B > -10.25) {
double x = (logen_B+10.25)*2.0;
int ix;
ix = floor(x);
x -= ix;
Rate->Phot_HI *= (AP_Gamma_HI_factor[ix]*(1-x)+AP_Gamma_HI_factor[ix+1]*x);
Rate->Phot_HeI *= (AP_Gamma_HeI_factor[ix]*(1-x)+AP_Gamma_HeI_factor[ix+1]*x);
Rate->Phot_HeII *= (AP_Gamma_HeII_factor[ix]*(1-x)+AP_Gamma_HeII_factor[ix+1]*x);
}
}
}
void clRates_Table( COOL *cl, RATE *Rate, double T, double rho, double ZMetal, double mach) {
double Tln;
double xTln,wTln0,wTln1;/*,wTln0d,wTln1d;*/
RATES_T *RT0,*RT1;/*,*RT0d,*RT1d;*/
int iTln;
if (T >= cl->TMax) T=cl->TMax*(1.0 - EPS);
if (T < cl->TMin) T=cl->TMin;
Tln = log(T);
Rate->T = T;
Rate->Tln = Tln;
xTln = (Tln-cl->TlnMin)*cl->rDeltaTln;
iTln = xTln;
RT0 = (cl->RT+iTln*TABLEFACTOR);
RT1 = RT0+TABLEFACTOR;
xTln = xTln-iTln;
wTln1 = xTln;
wTln0 = 1-xTln;
Rate->Coll_HI = TABLEINTERP( Rate_Coll_HI );
Rate->Coll_HeI = TABLEINTERP( Rate_Coll_HeI );
Rate->Coll_HeII = TABLEINTERP( Rate_Coll_HeII );
Rate->Radr_HII = TABLEINTERP( Rate_Radr_HII );
Rate->Radr_HeII = TABLEINTERP( Rate_Radr_HeII );
Rate->Diel_HeII = TABLEINTERP( Rate_Diel_HeII );
Rate->Chtr_HeII = TABLEINTERP( Rate_Chtr_HeII );
Rate->Totr_HeII = Rate->Radr_HeII + Rate->Diel_HeII + Rate->Chtr_HeII;
Rate->Radr_HeIII = TABLEINTERP( Rate_Radr_HeIII );
Rate->Phot_HI = cl->R.Rate_Phot_HI;
Rate->Phot_HeI = cl->R.Rate_Phot_HeI;
Rate->Phot_HeII = cl->R.Rate_Phot_HeII;
if (cl->bSelfShield) {
double logen_B;
logen_B = log10(rho*CL_B_gm);
if (logen_B > 2.2499) {
Rate->Phot_HI = 0;
Rate->Phot_HeI = 0;
Rate->Phot_HeII = 0;
}
else if (logen_B > -10.25) {
double x = (logen_B+10.25)*2.0;
int ix;
ix = floor(x);
x -= ix;
Rate->Phot_HI *= (AP_Gamma_HI_factor[ix]*(1-x)+AP_Gamma_HI_factor[ix+1]*x);
Rate->Phot_HeI *= (AP_Gamma_HeI_factor[ix]*(1-x)+AP_Gamma_HeI_factor[ix+1]*x);
Rate->Phot_HeII *= (AP_Gamma_HeII_factor[ix]*(1-x)+AP_Gamma_HeII_factor[ix+1]*x);
}
}
}
void clRateMetalTable(COOL *cl, RATE *Rate, double T, double rho, double Y_H, double ZMetal)
{
double tempT, tempnH,tempz, nH;
double Tlog, nHlog;
double xTlog, wTlog0, wTlog1, xz, wz0, wz1, xnHlog, wnHlog0, wnHlog1;
int iTlog, iz, inHlog;
double Cool000, Cool010, Cool100, Cool110, Cool001, Cool011, Cool101, Cool111;
double Cool00, Cool01, Cool10, Cool11, Cool0, Cool1, Cool;
double Heat000, Heat010, Heat100, Heat110, Heat001, Heat011, Heat101, Heat111;
double Heat00, Heat01, Heat10, Heat11, Heat0, Heat1, Heat;
if(!cl->bMetal) {
Rate->Cool_Metal = 0.0;
Rate->Heat_Metal = 0.0;
return;
}
nH = rho*Y_H/M_H;
tempT = T;
tempnH = nH;
tempz = cl->z;
if (T >= cl->MetalTMax) tempT = cl->MetalTMax*(1.0-EPS);
if (T < cl->MetalTMin) tempT=cl->MetalTMin;
if (nH >= cl->MetalnHMax) tempnH = cl->MetalnHMax*(1.0-EPS);
if (nH < cl->MetalnHMin) tempnH = cl->MetalnHMin;
if (cl->z <= cl->MetalzMin) tempz = cl->MetalzMin+EPS;
/* if redshift is too high or no UV, use the no UV metal cooling table*/
if (cl->z > cl->MetalzMax || !cl->bUV) tempz = cl->MetalzMax;
Tlog = log10(tempT);
nHlog = log10(tempnH);
xz = cl->nzMetalTable -1 - (tempz - cl->MetalzMin)*cl->rDeltaz;
iz = xz;
xTlog = (Tlog - cl->MetalTlogMin)*cl->rDeltaTlog;
assert(xTlog >= 0.0);
iTlog = xTlog;
xnHlog = (nHlog - cl->MetalnHlogMin)*cl->rDeltanHlog;
inHlog = xnHlog;
if(inHlog > 115) inHlog = 115; /*Slipshod method until the table can be extended */
Cool000 = cl->MetalCoolln[iz][inHlog][iTlog];
Cool001 = cl->MetalCoolln[iz][inHlog][iTlog+1];
Cool010 = cl->MetalCoolln[iz][inHlog+1][iTlog];
Cool011 = cl->MetalCoolln[iz][inHlog+1][iTlog+1];
Cool100 = cl->MetalCoolln[iz+1][inHlog][iTlog];
Cool101 = cl->MetalCoolln[iz+1][inHlog][iTlog+1];
Cool110 = cl->MetalCoolln[iz+1][inHlog+1][iTlog];
Cool111 = cl->MetalCoolln[iz+1][inHlog+1][iTlog+1];
Heat000 = cl->MetalHeatln[iz][inHlog][iTlog];
Heat001 = cl->MetalHeatln[iz][inHlog][iTlog+1];
Heat010 = cl->MetalHeatln[iz][inHlog+1][iTlog];
Heat011 = cl->MetalHeatln[iz][inHlog+1][iTlog+1];
Heat100 = cl->MetalHeatln[iz+1][inHlog][iTlog];
Heat101 = cl->MetalHeatln[iz+1][inHlog][iTlog+1];
Heat110 = cl->MetalHeatln[iz+1][inHlog+1][iTlog];
Heat111 = cl->MetalHeatln[iz+1][inHlog+1][iTlog+1];
xz = xz - iz;
wz1 = xz;
wz0 = 1-xz;
Cool00 = wz0*Cool000 + wz1*Cool100;
Cool01 = wz0*Cool001 + wz1*Cool101;
Cool10 = wz0*Cool010 + wz1*Cool110;
Cool11 = wz0*Cool011 + wz1*Cool111;
Heat00 = wz0*Heat000 + wz1*Heat100;
Heat01 = wz0*Heat001 + wz1*Heat101;
Heat10 = wz0*Heat010 + wz1*Heat110;
Heat11 = wz0*Heat011 + wz1*Heat111;
xnHlog = xnHlog - inHlog;
wnHlog1 = xnHlog;
wnHlog0 = 1-xnHlog;
Cool0 = wnHlog0*Cool00 + wnHlog1*Cool10;
Cool1 = wnHlog0*Cool01 + wnHlog1*Cool11;
Heat0 = wnHlog0*Heat00 + wnHlog1*Heat10;
Heat1 = wnHlog0*Heat01 + wnHlog1*Heat11;
xTlog = xTlog - iTlog;
wTlog1 = xTlog;
wTlog0 = 1 - xTlog;
/* printf("wz0: %#2f, wz1: %#2f, wnHlog0: %#2f, wnHlog1: %#2f, wTlog0: %#2f, wTlog1: %#2f\n",wz0,wz1,wnHlog0,wnHlog1,wTlog0,wTlog1); */
Cool = wTlog0*Cool0 + wTlog1*Cool1;
Heat = wTlog0*Heat0 + wTlog1*Heat1;
/* convert unit to erg/g/sec, time a factor of nH^2/nH, also scale with metalicity */
Rate->Cool_Metal = exp(Cool)*nH*Y_H/M_H * ZMetal/ZSOLAR;
Rate->Heat_Metal = exp(Heat)*nH*Y_H/M_H * ZMetal/ZSOLAR;
if (T < cl->MetalTMin || nH >= cl->MetalnHMax) {
Rate->Cool_Metal = -12.5920 + 5.25788*Tlog -0.949444*nHlog + 1.02849*Tlog*nHlog - 0.647718*pow(Tlog,2) - 0.137914*pow(Tlog,2)*nHlog
+ 0.000204617*pow(Tlog,2)*pow(nHlog,2) - 0.0751646*Tlog*pow(nHlog,2) + 0.247727*pow(nHlog,2);
Rate->Cool_Metal = pow(10,Rate->Cool_Metal);
Rate->Heat_Metal = -13.3866 + 3.62845e-10*Tlog + nHlog + -3.12419e-11*Tlog*nHlog - 6.09512e-11*pow(Tlog,2) + 5.49561e-12*pow(Tlog,2)*nHlog
+ 7.33096e-12*pow(Tlog,2)*pow(nHlog,2) - 3.80744e-11*Tlog*pow(nHlog,2) + 2.65849e-08*pow(nHlog,2);
Rate->Heat_Metal = pow(10,Rate->Heat_Metal);
}
}
/* Deprecated except for testing: use EdotInstant */
/* Need density in here to make this work with Self-Shielding */
double clHeatTotal ( COOL *cl, PERBARYON *Y, RATE *Rate, double rho, double ZMetal ) {
/* erg /gram /sec
Note: QQ_* premultiplied by (CL_B_gm*erg_ev) */
double heating;
double en_B = rho*CL_B_gm;
heating =
Y->HI * cl->R.Heat_Phot_HI * Rate->Phot_HI +
Y->HeI * cl->R.Heat_Phot_HeI * Rate->Phot_HeI +
Y->HeII * cl->R.Heat_Phot_HeII * Rate->Phot_HeII
+ Rate->Heat_Metal;
return heating;
}
/* Deprecated except for testing: use EdotInstant */
double clCoolTotal ( COOL *cl, PERBARYON *Y, RATE *Rate, double rho, double ZMetal ) {
/* Assumes clRates called previously */
/* erg /gram /sec */
double en_B=rho*CL_B_gm;
double LowTCool;
if (Rate->T > cl->R.Tcmb)
LowTCool = clCoolLowT(Rate->T)*cl->R.Cool_LowTFactor*en_B*ZMetal;
else
LowTCool = 0;
/* PUT INTO erg/gm/sec */
return Y->e * (
cl->R.Cool_Comp * ( Rate->T - cl->R.Tcmb ) +
en_B * (
clCoolBrem1(Rate->T) * ( Y->HII + Y->HeII ) +
clCoolBrem2(Rate->T) * Y->HeIII +
clCoolRadrHII(Rate->T) * Y->HII * Rate->Radr_HII +
clCoolRadrHeII(Rate->T) * Y->HeII * Rate->Radr_HeII +
clCoolRadrHeIII(Rate->T) * Y->HeIII * Rate->Radr_HeIII +
cl->R.Cool_Coll_HI * Y->HI * Rate->Coll_HI +
cl->R.Cool_Coll_HeI * Y->HeI * Rate->Coll_HeI +
cl->R.Cool_Coll_HeII * Y->HeII * Rate->Coll_HeII +
cl->R.Cool_Diel_HeII * Y->HeII * Rate->Diel_HeII +
clCoolLineHI(Rate->T) * Y->HI +
clCoolLineHeI(Rate->T) * Y->HeI +
clCoolLineHeII(Rate->T) * Y->HeII )) +
Rate->Cool_Metal +
LowTCool;
}
COOL_ERGPERSPERGM clTestCool ( COOL *cl, PERBARYON *Y, RATE *Rate, double rho ) {
/* Assumes clRates called previously */
/* erg /gram /sec */
double en_B=rho*CL_B_gm;
double xTln,wTln0,wTln1;
RATES_T *RT0,*RT1;
int iTln;
COOL_ERGPERSPERGM ret;
xTln = (Rate->Tln-cl->TlnMin)*cl->rDeltaTln;
iTln = xTln;
RT0 = (cl->RT+iTln);
RT1 = RT0+1;
wTln1 = xTln-iTln;
wTln0 = 1-wTln1;
/* PUT INTO erg/gm/sec */
ret.compton = Y->e * (
cl->R.Cool_Comp * ( Rate->T - cl->R.Tcmb ));
ret.bremHII = Y->e * en_B * (
(wTln0*RT0->Cool_Brem_1+wTln1*RT1->Cool_Brem_1) * ( Y->HII ));
ret.bremHeII = Y->e * en_B * (
(wTln0*RT0->Cool_Brem_1+wTln1*RT1->Cool_Brem_1) * ( Y->HeII ));
ret.bremHeIII = Y->e * en_B * (
(wTln0*RT0->Cool_Brem_2+wTln1*RT1->Cool_Brem_2) * Y->HeIII );
ret.radrecHII = Y->e * en_B *
(wTln0*RT0->Cool_Radr_HII+wTln1*RT1->Cool_Radr_HII) * Y->HII * Rate->Radr_HII;
ret.radrecHeII = Y->e * en_B *
(wTln0*RT0->Cool_Radr_HeII+wTln1*RT1->Cool_Radr_HeII) * Y->HeII * Rate->Radr_HeII;
ret.radrecHeIII = Y->e * en_B *
(wTln0*RT0->Cool_Radr_HeIII+wTln1*RT1->Cool_Radr_HeIII) * Y->HeIII * Rate->Radr_HeIII;
ret.collionHI = Y->e * en_B *
cl->R.Cool_Coll_HI * Y->HI * Rate->Coll_HI;
ret.collionHeI = Y->e * en_B *
cl->R.Cool_Coll_HeI * Y->HeI * Rate->Coll_HeI;
ret.collionHeII = Y->e * en_B *
cl->R.Cool_Coll_HeII * Y->HeII * Rate->Coll_HeII;
ret.dielrecHeII = Y->e * en_B *
cl->R.Cool_Diel_HeII * Y->HeII * Rate->Diel_HeII;
ret.lineHI = Y->e * en_B *
(wTln0*RT0->Cool_Line_HI+wTln1*RT1->Cool_Line_HI) * Y->HI;
ret.lineHeI = Y->e * en_B *
(wTln0*RT0->Cool_Line_HeI+wTln1*RT1->Cool_Line_HeI) * Y->HeI;
ret.lineHeII = Y->e * en_B *
(wTln0*RT0->Cool_Line_HeII+wTln1*RT1->Cool_Line_HeII) * Y->HeII;
ret.lowT = en_B *
(wTln0*RT0->Cool_LowT+wTln1*RT1->Cool_LowT)*cl->R.Cool_LowTFactor*0.001; /* assume metallicity 0.001 */
ret.NetMetalCool = Rate->Cool_Metal - Rate->Heat_Metal; /* assume clRateMetalTable called first */
return ret;
}
void clPrintCool ( COOL *cl, PERBARYON *Y, RATE *Rate, double rho ) {
/* Assumes clRates called previously */
/* erg /gram /sec */
double en_B=rho*CL_B_gm;
double xTln,wTln0,wTln1;
RATES_T *RT0,*RT1;
int iTln;
xTln = (Rate->Tln-cl->TlnMin)*cl->rDeltaTln;
iTln = xTln;
RT0 = (cl->RT+iTln);
RT1 = RT0+1;
wTln1 = xTln-iTln;
wTln0 = 1-wTln1;
/* PUT INTO erg/gm/sec */
printf("Density: %e \n", rho);
printf("Temperature: %e \n", Rate->T);
printf("Compton: %e\n",
Y->e * (
cl->R.Cool_Comp * ( Rate->T - cl->R.Tcmb )));
printf("Cool Brem HII %e\n",
Y->e * en_B * (
(wTln0*RT0->Cool_Brem_1+wTln1*RT1->Cool_Brem_1) * ( Y->HII )) );
printf("Cool Brem HeII %e\n",