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#include <cassert>
#include <cstdio>
#include <vector>
#include <cctk.h>
#include <cctk_Arguments.h>
#include <cctk_Parameters.h>
#include <mag_ns.h>
using namespace std;
extern "C"
void ID_Mag_NS_initialise (CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INFO ("Setting up LORENE Mag_NS initial data");
// Meudon data are distributed in SI units (MKSA). Here are some
// conversion factors.
// Defined constants
CCTK_REAL const c_light = 299792458.0; // speed of light [m/s]
CCTK_REAL const mu0 = 4*M_PI * 1.0e-7; // vacuum permeability [N/A^2]
CCTK_REAL const eps0 = 1 / (mu0 * pow(c_light,2));
// Constants of nature (IAU, CODATA):
CCTK_REAL const G_grav = 6.67428e-11; // gravitational constant [m^3/kg/s^2]
CCTK_REAL const M_sun = 1.98892e+30; // solar mass [kg]
// Cactus units in terms of SI units:
// (These are derived from M = M_sun, c = G = 1, and using 1/M_sun
// for the magnetic field)
CCTK_REAL const cactusM = M_sun;
CCTK_REAL const cactusL = cactusM * G_grav / pow(c_light,2);
CCTK_REAL const cactusT = cactusL / c_light;
CCTK_REAL const cactusB =
sqrt(4*M_PI) / cactusL / sqrt(4*M_PI * eps0 * G_grav / pow(c_light,2));
// Other quantities in terms of Cactus units
CCTK_REAL const coord_unit = cactusL / 1.0e+3; // from km
CCTK_REAL const rho_unit = cactusM / pow(cactusL,3); // from kg/m^3
CCTK_REAL const ener_unit = pow(cactusL,2); // from c^2
CCTK_REAL const vel_unit = cactusL / cactusT / c_light; // from c
CCTK_REAL const B_unit = cactusB / 1.0e+9; // from 10^9 T
CCTK_INFO ("Setting up coordinates");
int const npoints = cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2];
vector<double> xx(npoints), yy(npoints), zz(npoints);
#pragma omp parallel for
for (int i=0; i<npoints; ++i) {
xx[i] = x[i] * coord_unit;
yy[i] = y[i] * coord_unit;
zz[i] = z[i] * coord_unit;
}
CCTK_VInfo (CCTK_THORNSTRING, "Reading from file \"%s\"", filename);
Mag_NS mag_ns (npoints, &xx[0], &yy[0], &zz[0], filename);
CCTK_VInfo (CCTK_THORNSTRING, "omega [rad/s]: %g", mag_ns.omega);
CCTK_VInfo (CCTK_THORNSTRING, "rho_c [kg/m^3] %g", mag_ns.rho_c);
CCTK_VInfo (CCTK_THORNSTRING, "eps_c [c^2]: %g", mag_ns.eps_c);
CCTK_VInfo (CCTK_THORNSTRING, "mass_b [M_sun]: %g", mag_ns.mass_b);
CCTK_VInfo (CCTK_THORNSTRING, "mass_g [M_sun]: %g", mag_ns.mass_g);
CCTK_VInfo (CCTK_THORNSTRING, "r_eq [km]: %g", mag_ns.r_eq);
CCTK_VInfo (CCTK_THORNSTRING, "r_p [km]: %g", mag_ns.r_p);
CCTK_VInfo (CCTK_THORNSTRING, "L [G M_sum^2/c]: %g", mag_ns.angu_mom);
CCTK_VInfo (CCTK_THORNSTRING, "T/W: %g", mag_ns.T_over_W);
CCTK_VInfo (CCTK_THORNSTRING, "mu [A m^2]: %g", mag_ns.magn_mom);
CCTK_VInfo (CCTK_THORNSTRING, "B_z_pole [10^9 T]: %g", mag_ns.b_z_pole);
CCTK_VInfo (CCTK_THORNSTRING, "B_z_eq [10^9 T]: %g", mag_ns.b_z_eq);
assert (mag_ns.np == npoints);
CCTK_INFO ("Filling in Cactus grid points");
#pragma omp parallel for
for (int i=0; i<npoints; ++i) {
alp[i] = mag_ns.nnn[i];
betax[i] = mag_ns.beta_x[i];
betay[i] = mag_ns.beta_y[i];
betaz[i] = mag_ns.beta_z[i];
CCTK_REAL g[3][3];
g[0][0] = mag_ns.g_xx[i];
g[0][1] = mag_ns.g_xy[i];
g[0][2] = mag_ns.g_xz[i];
g[1][1] = mag_ns.g_yy[i];
g[1][2] = mag_ns.g_yz[i];
g[2][2] = mag_ns.g_zz[i];
g[1][0] = g[0][1];
g[2][0] = g[0][2];
g[2][1] = g[1][2];
CCTK_REAL ku[3][3];
ku[0][0] = mag_ns.k_xx[i];
ku[0][1] = mag_ns.k_xy[i];
ku[0][2] = mag_ns.k_xz[i];
ku[1][1] = mag_ns.k_yy[i];
ku[1][2] = mag_ns.k_yz[i];
ku[2][2] = mag_ns.k_zz[i];
ku[1][0] = ku[0][1];
ku[2][0] = ku[0][2];
ku[2][1] = ku[1][2];
CCTK_REAL k[3][3];
for (int a=0; a<3; ++a) {
for (int b=0; b<3; ++b) {
k[a][b] = 0.0;
for (int c=0; c<3; ++c) {
for (int d=0; d<3; ++d) {
k[a][b] += g[a][c] * g[b][d] * ku[c][d];
}
}
}
}
gxx[i] = g[0][0];
gxy[i] = g[0][1];
gxz[i] = g[0][2];
gyy[i] = g[1][1];
gyz[i] = g[1][2];
gzz[i] = g[2][2];
kxx[i] = k[0][0];
kxy[i] = k[0][1];
kxz[i] = k[0][2];
kyy[i] = k[1][1];
kyz[i] = k[1][2];
kzz[i] = k[2][2];
rho[i] = mag_ns.nbar[i] / rho_unit;
eps[i] = rho[i] * mag_ns.ener_spec[i] / ener_unit;
vel[i ] = mag_ns.u_euler_x[i] / vel_unit;
vel[i+ npoints] = mag_ns.u_euler_y[i] / vel_unit;
vel[i+2*npoints] = mag_ns.u_euler_z[i] / vel_unit;
Bvec[i ] = mag_ns.bb_x[i] / B_unit;
Bvec[i+ npoints] = mag_ns.bb_y[i] / B_unit;
Bvec[i+2*npoints] = mag_ns.bb_z[i] / B_unit;
} // for i
CCTK_INFO ("Setting time derivatives of lapse and shift");
{
// These initial data assume stationarity
if (CCTK_EQUALS (initial_dtlapse, "ID_Mag_NS")) {
#pragma omp parallel for
for (int i=0; i<npoints; ++i) {
dtalp[i] = 0.0;
}
} else if (CCTK_EQUALS (initial_dtlapse, "none")) {
// do nothing
} else {
CCTK_WARN (CCTK_WARN_ABORT, "internal error");
}
if (CCTK_EQUALS (initial_dtshift, "ID_Mag_NS")) {
#pragma omp parallel for
for (int i=0; i<npoints; ++i) {
dtbetax[i] = 0.0;
dtbetay[i] = 0.0;
dtbetaz[i] = 0.0;
}
} else if (CCTK_EQUALS (initial_dtshift, "none")) {
// do nothing
} else {
CCTK_WARN (CCTK_WARN_ABORT, "internal error");
}
}
CCTK_INFO ("Done.");
}
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