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/* for debug output the location of the points */
void TOV_debug_input_points(CCTK_INT size,
const CCTK_REAL *x,
const CCTK_REAL *y,
const CCTK_REAL *z)
{
FILE *f;
int i;
f=fopen("test.out", "w");
for (i=0; i<size; i++)
fprintf(f, "%.8g %.8g %.8g\n", x[i], y[i], z[i]);
fclose(f);
}
inline int get_nearest_star(const CCTK_REAL *x, const CCTK_REAL *y,
const CCTK_REAL *z, const int i)
{
DECLARE_CCTK_PARAMETERS
int star = 0, star_loop;
CCTK_REAL r_tmp, r_to_star=1.e40; /* something very large */
for (star_loop=0; star_loop<TOV_Num_TOVs; star_loop++)
{
r_tmp = sqrt( (x[i]-TOV_Position_x[star_loop]) *
(x[i]-TOV_Position_x[star_loop]) +
(y[i]-TOV_Position_y[star_loop]) *
(y[i]-TOV_Position_y[star_loop]) +
(z[i]-TOV_Position_z[star_loop]) *
(z[i]-TOV_Position_z[star_loop]) );
if (r_tmp < r_to_star)
{
r_to_star = r_tmp;
star = star_loop;
}
}
return star;
}
/* This function provides an interface for other thorns which can input a list
* of points (p_x, p_y, p_z) with a size of 'size' and get back the rho_adm
* at these points (source) */
/* NOTE: when used with two or more NS, there might be problems if they are
* very close to each other, because this function does not use the fancy
* algorithms above to determine from which NS the data for a perticular grid
* point should be taken, but just uses the closest one */
CCTK_INT TOV_Set_Rho_ADM(CCTK_POINTER_TO_CONST cctkGH,
CCTK_INT size,
CCTK_REAL *source,
const CCTK_REAL *x,
const CCTK_REAL *y,
const CCTK_REAL *z )
{
DECLARE_CCTK_PARAMETERS
assert(TOV_Surface!=0);
assert(TOV_R_Surface!=0);
assert(TOV_Atmosphere!=0);
assert(TOV_r_1d!=0);
assert(TOV_rbar_1d!=0);
assert(TOV_press_1d!=0);
assert(TOV_phi_1d!=0);
assert(TOV_m_1d!=0);
/* CCTK_INFO("Request for Sources from TOVSolver"); */
/* TOV_debug_input_points(size,x,y,z); */
/* loop over all points we got */
#pragma omp parallel for
for (CCTK_INT i=0; i<size; i++)
{
CCTK_REAL r_to_star, press, phi, r;
CCTK_REAL rho, eps, gxx, w_lorentz_2;
CCTK_INT star_i=0, star=0;
/* calculate the distance to the star */
star=get_nearest_star(x,y,z,i);
star_i = star * TOV_Num_Radial;
r_to_star = sqrt( (x[i]-TOV_Position_x[star]) *
(x[i]-TOV_Position_x[star]) +
(y[i]-TOV_Position_y[star]) *
(y[i]-TOV_Position_y[star]) +
(z[i]-TOV_Position_z[star]) *
(z[i]-TOV_Position_z[star]) );
/* call the interpolator */
TOV_C_interp_tov_isotropic(star,
&(TOV_press_1d[star_i]), &(TOV_phi_1d[star_i]),
&(TOV_rbar_1d[star_i]), &(TOV_r_1d[star_i]),
&r_to_star, TOV_Surface[star],
&press, &phi, &r);
press = (press > 0.0) ? press : 0.0;
rho = pow(press/TOV_K[star], 1.0/TOV_Gamma[star]);
eps = (rho > 0.0) ? press/(TOV_Gamma[star] - 1.0) / rho : 0.0;
gxx = r / (r_to_star + 1.0e-30) * r / (r_to_star + 1.0e-30);
/* velocity components as in gr-qc/9811015 */
w_lorentz_2 = 1. / (1. - gxx*TOV_Velocity_x[star]*TOV_Velocity_x[star]
- gxx*TOV_Velocity_y[star]*TOV_Velocity_y[star]
- gxx*TOV_Velocity_z[star]*TOV_Velocity_z[star]);
if (rho > 0.0)
/* source[i]=gxx*gxx*rho*(1.0+eps); */
source[i]=gxx*gxx* (w_lorentz_2*rho +
(w_lorentz_2*TOV_Gamma[star]/(TOV_Gamma[star]-1.)-1.)*
press);
else
source[i]=0.0;
}
return 1;
}
/* This function provides an interface for other thorns which can input a list
* of points (p_x, p_y, p_z) with a size of 'size' and get back the momentum
* sources at these points (source) */
/* NOTE: when used with two or more NS, there might be problems if they are
* very close to each other, because this function does not use the fancy
* algorithms above to determine from which NS the data for a perticular grid
* point should be taken, but just uses the closest one */
CCTK_INT TOV_Set_Momentum_Source(
CCTK_POINTER_TO_CONST cctkGH,
CCTK_INT dir,
CCTK_INT size,
CCTK_REAL *source,
const CCTK_REAL *x,
const CCTK_REAL *y,
const CCTK_REAL *z )
{
DECLARE_CCTK_PARAMETERS
CCTK_REAL r_to_star, press, phi, r, gxx, rho, rho_eps, psip, w_lorentz_2;
CCTK_INT star_i=0, star=0;
CCTK_INT i;
assert(TOV_Surface!=0);
assert(TOV_R_Surface!=0);
assert(TOV_Atmosphere!=0);
assert(TOV_r_1d!=0);
assert(TOV_rbar_1d!=0);
assert(TOV_press_1d!=0);
assert(TOV_phi_1d!=0);
assert(TOV_m_1d!=0);
/* CCTK_INFO("Request for Momentum-Sources from TOVSolver"); */
/* loop over all points we got */
for (i=0; i<size; i++)
{
/* calculate the distance to the star */
star=get_nearest_star(x,y,z,i);
star_i = star * TOV_Num_Radial;
r_to_star = sqrt( (x[i]-TOV_Position_x[star]) *
(x[i]-TOV_Position_x[star]) +
(y[i]-TOV_Position_y[star]) *
(y[i]-TOV_Position_y[star]) +
(z[i]-TOV_Position_z[star]) *
(z[i]-TOV_Position_z[star]) );
/* call the interpolator */
TOV_C_interp_tov_isotropic(star,
&(TOV_press_1d[star_i]), &(TOV_phi_1d[star_i]),
&(TOV_rbar_1d[star_i]), &(TOV_r_1d[star_i]),
&r_to_star, TOV_Surface[star],
&press, &phi, &r);
rho = pow(press/TOV_K[star], 1.0/TOV_Gamma[star]);
gxx = r / (r_to_star + 1.0e-30) * r / (r_to_star + 1.0e-30);
psip = pow(gxx, TOV_Momentum_Psi_Power/4.);
/* velocity components as in gr-qc/9811015 */
w_lorentz_2 = 1./(1. - gxx*TOV_Velocity_x[star]*TOV_Velocity_x[star]
- gxx*TOV_Velocity_y[star]*TOV_Velocity_y[star]
- gxx*TOV_Velocity_z[star]*TOV_Velocity_z[star]);
rho_eps = w_lorentz_2 * (rho + TOV_Gamma[star]/(TOV_Gamma[star]-1.) * press);
switch(dir)
{
case 0: source[i]=psip*rho_eps*gxx*TOV_Velocity_x[star]; break;
case 1: source[i]=psip*rho_eps*gxx*TOV_Velocity_y[star]; break;
case 2: source[i]=psip*rho_eps*gxx*TOV_Velocity_z[star]; break;
default: CCTK_WARN(0,
"dir has to be in [0:2] in TOV_Set_Momentum_Source");
}
/* Only set velocity where matter is */
if (press<1.e-15)
source[i]=0.0;
}
return 1;
}
/* NOTE: when used with two or more NS, there might be problems if they are
* very close to each other, because this function does not use the fancy
* algorithms above to determine from which NS the data for a perticular grid
* point should be taken, but just uses the closest one */
CCTK_INT TOV_Set_Initial_Guess_for_u(
CCTK_POINTER_TO_CONST cctkGH,
CCTK_INT size,
CCTK_REAL *u,
const CCTK_REAL *x,
const CCTK_REAL *y,
const CCTK_REAL *z )
{
DECLARE_CCTK_PARAMETERS
CCTK_REAL r_to_star, press, phi, r;
CCTK_INT star_i=0, star=0;
CCTK_INT i;
assert(TOV_Surface!=0);
assert(TOV_R_Surface!=0);
assert(TOV_Atmosphere!=0);
assert(TOV_r_1d!=0);
assert(TOV_rbar_1d!=0);
assert(TOV_press_1d!=0);
assert(TOV_phi_1d!=0);
assert(TOV_m_1d!=0);
CCTK_INFO("Using initial guess from TOVSolver");
/* TOV_debug_input_points(size,x,y,z); */
/* loop over all points we got */
for (i=0; i<size; i++)
{
CCTK_REAL rho, eps, gxx;
/* calculate the distance to the stars and choose the closest */
star=get_nearest_star(x,y,z,i);
star_i = star * TOV_Num_Radial;
r_to_star = sqrt( (x[i]-TOV_Position_x[star]) *
(x[i]-TOV_Position_x[star]) +
(y[i]-TOV_Position_y[star]) *
(y[i]-TOV_Position_y[star]) +
(z[i]-TOV_Position_z[star]) *
(z[i]-TOV_Position_z[star]) );
/* call the interpolator */
TOV_C_interp_tov_isotropic(star,
&(TOV_press_1d[star_i]), &(TOV_phi_1d[star_i]),
&(TOV_rbar_1d[star_i]), &(TOV_r_1d[star_i]),
&r_to_star, TOV_Surface[star],
&press, &phi, &r);
rho = pow(press/TOV_K[star], 1.0/TOV_Gamma[star]);
if (rho>0.0)
eps = press/(TOV_Gamma[star] - 1.0) / rho;
else
eps = 0.0;
gxx = r / (r_to_star + 1.0e-30) * r / (r_to_star + 1.0e-30);
u[i]=pow(gxx, 0.25) - 1.0;
}
return 1;
}
void bisection (CCTK_REAL *vx, CCTK_REAL *vy, CCTK_REAL *vz,
CCTK_REAL *rhoold, CCTK_REAL *rhonew,
CCTK_REAL *w_lorentz_2, CCTK_REAL *v_2,
CCTK_REAL Gamma, CCTK_REAL K,
CCTK_REAL source,
CCTK_REAL mom_source_x,
CCTK_REAL mom_source_y,
CCTK_REAL mom_source_z,
CCTK_REAL my_psi4,
CCTK_REAL x, CCTK_REAL y, CCTK_REAL z, CCTK_REAL rho_orig)
{
CCTK_REAL lb, ub, f;
lb=0.0;
ub=2*rho_orig;
do
{
*rhonew = (ub-lb)/2.;
*vx = mom_source_x/my_psi4/
(source/my_psi4/my_psi4+K * pow(*rhonew, Gamma));
*vy = mom_source_y/my_psi4/
(source/my_psi4/my_psi4+K * pow(*rhonew, Gamma));
*vz = mom_source_z/my_psi4/
(source/my_psi4/my_psi4+K * pow(*rhonew, Gamma));
*v_2 = my_psi4*(*vx**vx+*vy**vy+*vz**vz);
/* velocity components as in gr-qc/9811015 */
*w_lorentz_2 = 1./(1.- *v_2);
f = my_psi4*my_psi4*(
*w_lorentz_2 * *rhonew +
(*w_lorentz_2*Gamma/(Gamma-1.)-1.) *
K * pow(*rhonew, Gamma)) - source;
if (f < 0.0)
ub = *rhonew;
else
lb = *rhonew;
*rhoold = *rhonew;
} while (ub-lb < 1.e-10);
}
void newton_raphson(CCTK_REAL *vx, CCTK_REAL *vy, CCTK_REAL *vz,
CCTK_REAL *rhoold, CCTK_REAL *rhonew,
CCTK_REAL *w_lorentz_2, CCTK_REAL *v_2,
CCTK_REAL Gamma, CCTK_REAL K,
CCTK_REAL source,
CCTK_REAL mom_source_x,
CCTK_REAL mom_source_y,
CCTK_REAL mom_source_z,
CCTK_REAL my_psi4,
CCTK_REAL x, CCTK_REAL y, CCTK_REAL z, CCTK_REAL rho_orig)
{
int count=0;
CCTK_REAL d_w_lorentz_2, f, df;
do
{
count++;
*vx = mom_source_x/my_psi4/
(source/my_psi4/my_psi4+K * pow(*rhonew, Gamma));
*vy = mom_source_y/my_psi4/
(source/my_psi4/my_psi4+K * pow(*rhonew, Gamma));
*vz = mom_source_z/my_psi4/
(source/my_psi4/my_psi4+K * pow(*rhonew, Gamma));
*v_2 = my_psi4*(*vx**vx+*vy**vy+*vz**vz);
if (count > 100)
{
CCTK_VWarn(1, __LINE__, __FILE__, CCTK_THORNSTRING, \
"Failed to converge IVP rescaling, trying slow bisection method\n"\
" at (%.3g %.3g %.3g)\n"\
" orig_rho:%g rho:%g, v^2=%g, rel_diff=%g", \
x, y, z, rho_orig, *rhonew, *v_2,
fabs(*rhonew-*rhoold)/fabs(*rhonew));
bisection(vx,vy,vz,rhoold,rhonew,w_lorentz_2,v_2,
Gamma, K,
source, mom_source_x, mom_source_y, mom_source_z,
my_psi4, x, y, z, rho_orig);
return;
}
/* velocity components as in gr-qc/9811015 */
*w_lorentz_2 = 1./(1.- *v_2);
f = my_psi4*my_psi4*(
*w_lorentz_2 * *rhonew +
(*w_lorentz_2*Gamma/(Gamma-1.)-1.) *
K * pow(*rhonew, Gamma)) - source;
/* d_w_lorentz_2/drhonew */
d_w_lorentz_2 =
-2 * (*w_lorentz_2)*(*w_lorentz_2) *
(*v_2) * K*Gamma*pow(*rhonew, Gamma-1) /
(source/my_psi4/my_psi4 + K*pow(*rhonew, Gamma));
df = my_psi4*my_psi4*(
d_w_lorentz_2**rhonew + *w_lorentz_2 +
d_w_lorentz_2*Gamma/(Gamma-1.)*
K * pow(*rhonew, Gamma) +
(*w_lorentz_2*Gamma/(Gamma-1.)-1.) *
K * Gamma * pow(*rhonew, Gamma-1.));
*rhoold = *rhonew;
*rhonew = *rhoold - f/df;
}
while ( (fabs(*rhonew - *rhoold)/fabs(*rhonew) > 1.e-12) &&
(fabs(*rhonew - *rhoold) > 1.e-12)
);
}
CCTK_INT TOV_Rescale_Sources(
CCTK_POINTER_TO_CONST cctkGH,
CCTK_INT size,
const CCTK_REAL *x,
const CCTK_REAL *y,
const CCTK_REAL *z,
const CCTK_REAL *psi,
const CCTK_REAL *gxx,
const CCTK_REAL *gyy,
const CCTK_REAL *gzz,
const CCTK_REAL *gxy,
const CCTK_REAL *gxz,
const CCTK_REAL *gyz)
{
DECLARE_CCTK_PARAMETERS
CCTK_REAL *rho, *press, *eps, *dens, *tau, *w_lorentz, *vel0, *vel1, *vel2,
*scon0, *scon1, *scon2;
CCTK_REAL *rho_p, *press_p, *eps_p, *dens_p, *tau_p, *w_lorentz_p, *vel0_p,
*vel1_p, *vel2_p, *scon0_p, *scon1_p, *scon2_p;
CCTK_REAL *rho_p_p, *press_p_p, *eps_p_p, *dens_p_p, *tau_p_p, *w_lorentz_p_p,
*vel0_p_p, *vel1_p_p, *vel2_p_p, *scon0_p_p, *scon1_p_p, *scon2_p_p;
CCTK_REAL *source, *mom_source[3];
CCTK_REAL psip, my_psi4, sqrt_det, vx, vy, vz, v_2,
w_lorentz_2, D_h_w;
CCTK_REAL vlowx, vlowy, vlowz;
CCTK_INT type;
CCTK_REAL rhoold, rhonew;
int i3D;
static int debug = 1;
FILE *debugfile = NULL;
CCTK_INFO("Rescaling Sources");
/* get GRHydro variables */
rho =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::rho");
press =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::press");
eps =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::eps");
dens =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "GRHydro::dens");
tau =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "GRHydro::tau");
w_lorentz=(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::w_lorentz");
vel0 =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::vel[0]");
vel1 =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::vel[1]");
vel2 =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "HydroBase::vel[2]");
scon0 =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "GRHydro::scon[0]");
scon1 =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "GRHydro::scon[1]");
scon2 =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 0, "GRHydro::scon[2]");
rho_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::rho");
press_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::press");
eps_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::eps");
dens_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "GRHydro::dens");
tau_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "GRHydro::tau");
w_lorentz_p=(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::w_lorentz");
vel0_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::vel[0]");
vel1_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::vel[1]");
vel2_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "HydroBase::vel[2]");
scon0_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "GRHydro::scon[0]");
scon1_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "GRHydro::scon[1]");
scon2_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 1, "GRHydro::scon[2]");
rho_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::rho");
press_p_p=(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::press");
eps_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::eps");
dens_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "GRHydro::dens");
tau_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "GRHydro::tau");
w_lorentz_p_p=(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::w_lorentz");
vel0_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::vel[0]");
vel1_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::vel[1]");
vel2_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "HydroBase::vel[2]");
scon0_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "GRHydro::scon[0]");
scon1_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "GRHydro::scon[1]");
scon2_p_p =(CCTK_REAL*)CCTK_VarDataPtr(cctkGH, 2, "GRHydro::scon[2]");
/* get the old source */
source=calloc(size, sizeof(CCTK_REAL));
TOV_Set_Rho_ADM(cctkGH, size, source, x, y, z);
mom_source[0]=calloc(size, sizeof(CCTK_REAL));
mom_source[1]=calloc(size, sizeof(CCTK_REAL));
mom_source[2]=calloc(size, sizeof(CCTK_REAL));
TOV_Set_Momentum_Source(cctkGH, 0, size, mom_source[0], x, y, z);
TOV_Set_Momentum_Source(cctkGH, 1, size, mom_source[1], x, y, z);
TOV_Set_Momentum_Source(cctkGH, 2, size, mom_source[2], x, y, z);
if (debug)
{
debugfile=fopen("tovdebug.dat", "w");
fprintf(debugfile, "# 1:x 2:y 3:psi4 4:source 5-7:mom_source_?, 8,9: ham-source, 10,11: momx-source\n");
}
/* loop over all points we got */
for (i3D=0; i3D<size; i3D++)
{
if (source[i3D]>0.0)
{
if (psi != NULL)
my_psi4 = pow(psi[i3D], 4.0)*gxx[i3D];
else
my_psi4 = gxx[i3D];
/* We store the original J^i in mom_source[i] */
psip = pow(my_psi4, TOV_Momentum_Psi_Power/4.);
mom_source[0][i3D] /= psip;
mom_source[1][i3D] /= psip;
mom_source[2][i3D] /= psip;
if (debug && (fabs(z[i3D])<1.e-15))
{
fprintf(debugfile,
"%.15g %.15g %.15g %.15g %.15g %.15g %.15g ",
x[i3D], y[i3D], my_psi4, source[i3D],
mom_source[0][i3D], mom_source[1][i3D], mom_source[1][i3D]);
}
if (rho[i3D] < 1.e-10)
rho[i3D] = 1.e-10;
rhoold = rhonew = rho[i3D];
#ifdef OLD_NR
int count=0;
do
{
CCTK_REAL f, df;
count++;
vx = mom_source[0][i3D]/my_psi4/
(source[i3D]/my_psi4/my_psi4+TOV_K[0] * pow(rhonew, TOV_Gamma[0]));
vy = mom_source[1][i3D]/my_psi4/
(source[i3D]/my_psi4/my_psi4+TOV_K[0] * pow(rhonew, TOV_Gamma[0]));
vz = mom_source[2][i3D]/my_psi4/
(source[i3D]/my_psi4/my_psi4+TOV_K[0] * pow(rhonew, TOV_Gamma[0]));
v_2 = my_psi4*(vx*vx+vy*vy+vz*vz);
if (count > 100)
CCTK_VWarn(count<110, __LINE__, __FILE__, CCTK_THORNSTRING, \
"Failed to converge IVP rescaling\nat (%.3g %.3g %.3g)\n"\
" orig_rho:%g rho:%g, v^2=%g, rel_diff=%g", \
x[i3D], y[i3D], z[i3D], rho[i3D], rhonew, v_2,
fabs(rhonew-rhoold)/fabs(rhonew));
/* velocity components as in gr-qc/9811015 */
w_lorentz_2 = 1./(1.- v_2);
/*
f = TOV_K[0] / (TOV_Gamma[0]-1.0) * pow(rhonew, TOV_Gamma[0]) +
rhonew - source[i3D];
df = TOV_K[0] * TOV_Gamma[0] / (TOV_Gamma[0]-1.0) *
pow(rhonew, TOV_Gamma[0]-1.0) + 1.0;
*/
f = my_psi4*my_psi4*(
w_lorentz_2 * rhonew +
(w_lorentz_2*TOV_Gamma[0]/(TOV_Gamma[0]-1.)-1.) *
TOV_K[0] * pow(rhonew, TOV_Gamma[0])) - source[i3D];
/*
df= w_lorentz_2 +
(w_lorentz_2*TOV_Gamma[0]/(TOV_Gamma[0]-1.)-1.) *
TOV_K[0] * TOV_Gamma[0] * pow(rhonew, TOV_Gamma[0]-1.);
*/
/* d_w_lorentz_2/drhonew */
CCTK_REAL d_w_lorentz_2 =
-2 * w_lorentz_2*w_lorentz_2 *
v_2 * TOV_K[0]*TOV_Gamma[0]*pow(rhonew, TOV_Gamma[0]-1) /
(source[i3D]/my_psi4/my_psi4 + TOV_K[0]*pow(rhonew, TOV_Gamma[0]));
df = my_psi4*my_psi4*(
d_w_lorentz_2*rhonew + w_lorentz_2 +
d_w_lorentz_2*TOV_Gamma[0]/(TOV_Gamma[0]-1.)*
TOV_K[0] * pow(rhonew, TOV_Gamma[0]) +
(w_lorentz_2*TOV_Gamma[0]/(TOV_Gamma[0]-1.)-1.) *
TOV_K[0] * TOV_Gamma[0] * pow(rhonew, TOV_Gamma[0]-1.));
/*
df= 1. + my_psi4*v_2/(rhonew*rhonew) +
((TOV_Gamma[0]+(2.-TOV_Gamma[0])*my_psi4*v_2/(rhonew*rhonew))
/ (TOV_Gamma[0]-1.) - 1.)
* TOV_K[0] * TOV_Gamma[0] * pow(rhonew, TOV_Gamma[0]-1.);
*/
rhoold = rhonew;
rhonew = rhoold - f/df;
}
while ( (fabs(rhonew-rhoold)/fabs(rhonew) > 1.e-12) &&
(fabs(rhonew - rhoold) > 1.e-12)
);
if (count==1)
printf("Fast rescale! %g %g %g %g\n", my_psi4, my_psi4,
mom_source[0][i3D]/my_psi4/
(source[i3D]/my_psi4/my_psi4+TOV_K[0]*
pow(rhonew, TOV_Gamma[0])),
mom_source[0][i3D]/my_psi4/
(source[i3D]/my_psi4/my_psi4+TOV_K[0]*
pow(rhonew, TOV_Gamma[0])));
#else
newton_raphson(&vx,&vy,&vz,&rhoold,&rhonew,&w_lorentz_2,&v_2,
TOV_Gamma[0], TOV_K[0],
source[i3D],
mom_source[0][i3D],mom_source[1][i3D],mom_source[2][i3D],
my_psi4, x[i3D], y[i3D], z[i3D], rho[i3D]);
#endif
rho[i3D] = rhonew;
press[i3D] = TOV_K[0] * pow(rhonew, TOV_Gamma[0]);
eps[i3D] = TOV_K[0] * pow(rhonew, TOV_Gamma[0] - 1.0) /
(TOV_Gamma[0] - 1.0);
sqrt_det = pow(my_psi4, 1.5);
w_lorentz[i3D] = sqrt(w_lorentz_2);
dens[i3D] = sqrt_det * w_lorentz[i3D] * rho[i3D];
tau[i3D] = sqrt_det * (rho[i3D] *w_lorentz[i3D]*w_lorentz[i3D] *
(1.0 + eps[i3D]) +
press[i3D]*(w_lorentz[i3D]*w_lorentz[i3D]-1.0) ) -
dens[i3D];
vel0[i3D] = vx;
vel1[i3D] = vy;
vel2[i3D] = vz;
D_h_w = dens[i3D] * (1 + eps[i3D] + press[i3D]/rho[i3D]) * w_lorentz[i3D];
vlowx = gxx[i3D]*vel0[i3D] + gxy[i3D]*vel1[i3D] + gxz[i3D]*vel2[i3D];
vlowy = gxy[i3D]*vel0[i3D] + gyy[i3D]*vel1[i3D] + gyz[i3D]*vel2[i3D];
vlowz = gxz[i3D]*vel0[i3D] + gyz[i3D]*vel1[i3D] + gzz[i3D]*vel2[i3D];
scon0[i3D] = D_h_w * vlowx;
scon1[i3D] = D_h_w * vlowy;
scon2[i3D] = D_h_w * vlowz;
if (debug && (fabs(z[i3D])<1.e-15))
{
fprintf(debugfile,
"%.15g %.15g %.15g %.15g\n", /*7*/
gxx[i3D]*gxx[i3D]*( /* ham - source*/
w_lorentz_2*rho[i3D]+
(w_lorentz_2*TOV_Gamma[0]/(TOV_Gamma[0]-1.)-1.)*press[i3D]),
gxx[i3D]*gxx[i3D]*( /* ham - source */
w_lorentz_2*(rho[i3D]*(1.+eps[i3D])+press[i3D])-press[i3D]),
(w_lorentz_2 * rho[i3D] + /* momx - source */
w_lorentz_2*TOV_Gamma[0]/(TOV_Gamma[0]-1.) * press[i3D])*
gxx[i3D]*vel0[i3D],
w_lorentz_2 * (rho[i3D]* /* momx - source */
(1.+eps[i3D])+ press[i3D])*
gxx[i3D]*vel0[i3D]
);
}
/* FIXME: check for Atmosphere */
}
}
if (debug)
fclose(debugfile);
switch(*(const CCTK_INT*)CCTK_ParameterGet("TOV_Populate_Timelevels",
"TOVSolver", &type))
{
case 3:
TOV_Copy(size, rho_p_p, rho);
TOV_Copy(size, eps_p_p, eps);
TOV_Copy(size, vel0_p_p, vel0);
TOV_Copy(size, vel1_p_p, vel1);
TOV_Copy(size, vel2_p_p, vel2);
TOV_Copy(size, dens_p_p, dens);
TOV_Copy(size, tau_p_p, tau);
TOV_Copy(size, scon0_p_p, scon0);
TOV_Copy(size, scon1_p_p, scon1);
TOV_Copy(size, scon2_p_p, scon2);
TOV_Copy(size, w_lorentz_p_p, w_lorentz);
case 2:
TOV_Copy(size, rho_p, rho);
TOV_Copy(size, eps_p, eps);
TOV_Copy(size, vel0_p, vel0);
TOV_Copy(size, vel1_p, vel1);
TOV_Copy(size, vel2_p, vel2);
TOV_Copy(size, dens_p, dens);
TOV_Copy(size, tau_p, tau);
TOV_Copy(size, scon0_p, scon0);
TOV_Copy(size, scon1_p, scon1);
TOV_Copy(size, scon2_p, scon2);
TOV_Copy(size, w_lorentz_p, w_lorentz);
}
free(source);
return 1;
}
void TOV_write_1D_datafile(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
int i;
if (TOV_Num_TOVs > 1)
CCTK_WARN(0, "Writing a data file for multiple stars is not (yet) "
"supported");
FILE *file;
file = fopen(TOV_save_to_datafile, "w");
fprintf(file, "TOVSolver data file\n");
fprintf(file, "version 1.0\n");
fprintf(file, "TOV_Num_Radial %d\n", TOV_Num_Radial);
fprintf(file, "\n");
for (i=0; i < TOV_Num_Radial; i++)
{
fprintf(file, "%g %g %g %g %g\n",
TOV_rbar_1d[i],
TOV_r_1d[i],
TOV_m_1d[i],
TOV_phi_1d[i],
TOV_press_1d[i]);
}
fclose(file);
CCTK_WARN(0, "Simulation stopped as requested after writing data to file");
}
void TOVSolverC_export_local_variables(CCTK_REAL **exported_TOV_press_1d, CCTK_REAL **exported_TOV_m_1d, CCTK_REAL **exported_TOV_phi_1d, CCTK_REAL **exported_TOV_rbar_1d, CCTK_REAL **exported_TOV_r_1d)
{
*exported_TOV_press_1d = TOV_press_1d;
*exported_TOV_m_1d = TOV_m_1d;
*exported_TOV_phi_1d = TOV_phi_1d;
*exported_TOV_rbar_1d = TOV_rbar_1d;
*exported_TOV_r_1d = TOV_r_1d;
}
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