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#include <cassert>
#include <cmath>
#include <cstdio>
#include <vector>
#include <cctk.h>
#include <cctk_Arguments.h>
#include <cctk_Parameters.h>
#include <bin_bh.h>
using namespace std;
static void set_dt_from_domega (CCTK_ARGUMENTS,
CCTK_REAL const* const var,
CCTK_REAL * const dtvar,
CCTK_REAL const& omega)
{
DECLARE_CCTK_ARGUMENTS;
int const npoints = cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2];
vector<CCTK_REAL> dxvar(npoints), dyvar(npoints);
Diff_gv (cctkGH, 0, var, &dxvar[0], -1);
Diff_gv (cctkGH, 1, var, &dyvar[0], -1);
#pragma omp parallel for
for (int i=0; i<npoints; ++i) {
CCTK_REAL const ephix = +y[i];
CCTK_REAL const ephiy = -x[i];
CCTK_REAL const dphi_var = ephix * dxvar[i] + ephiy * dyvar[i];
dtvar[i] = omega * dphi_var;
}
}
extern "C"
void ID_Bin_BH_initialise (CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INFO ("Setting up LORENE Bin_BH initial data");
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];
yy[i] = y[i];
zz[i] = z[i];
}
CCTK_VInfo (CCTK_THORNSTRING, "Reading from file \"%s\"", filename);
Bin_BH bin_bh (npoints, &xx[0], &yy[0], &zz[0], 1, filename);
CCTK_VInfo (CCTK_THORNSTRING, "Omega [1/a]: %g", bin_bh.omega);
CCTK_VInfo (CCTK_THORNSTRING, "dist [a]: %g", bin_bh.dist);
CCTK_VInfo (CCTK_THORNSTRING, "radius1 [a]: %g", 1.0);
CCTK_VInfo (CCTK_THORNSTRING, "radius2 [a]: %g", bin_bh.radius2);
assert (bin_bh.np == npoints);
CCTK_INFO ("Filling in Cactus grid points");
#pragma omp parallel for
for (int i=0; i<npoints; ++i) {
alp[i] = bin_bh.nnn[i];
betax[i] = bin_bh.beta_x[i];
betay[i] = bin_bh.beta_y[i];
betaz[i] = bin_bh.beta_z[i];
CCTK_REAL g[3][3];
g[0][0] = bin_bh.g_xx[i];
g[0][1] = bin_bh.g_xy[i];
g[0][2] = bin_bh.g_xz[i];
g[1][1] = bin_bh.g_yy[i];
g[1][2] = bin_bh.g_yz[i];
g[2][2] = bin_bh.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] = bin_bh.k_xx[i];
ku[0][1] = bin_bh.k_xy[i];
ku[0][2] = bin_bh.k_xz[i];
ku[1][1] = bin_bh.k_yy[i];
ku[1][2] = bin_bh.k_yz[i];
ku[2][2] = bin_bh.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];
} // for i
CCTK_INFO ("Calculating time derivatives of lapse and shift");
{
// Angular velocity
CCTK_REAL const omega = bin_bh.omega * bin_bh.dist;
// These initial data assume a helical Killing vector field
if (CCTK_EQUALS (initial_dtlapse, "ID_Bin_BH")) {
set_dt_from_domega (CCTK_PASS_CTOC, alp, dtalp, omega);
} else if (CCTK_EQUALS (initial_dtlapse, "none")) {
// do nothing
} else {
CCTK_WARN (CCTK_WARN_ABORT, "internal error");
}
if (CCTK_EQUALS (initial_dtshift, "ID_Bin_BH")) {
set_dt_from_domega (CCTK_PASS_CTOC, betax, dtbetax, omega);
set_dt_from_domega (CCTK_PASS_CTOC, betay, dtbetay, omega);
set_dt_from_domega (CCTK_PASS_CTOC, betaz, dtbetaz, omega);
} else if (CCTK_EQUALS (initial_dtshift, "none")) {
// do nothing
} else {
CCTK_WARN (CCTK_WARN_ABORT, "internal error");
}
}
CCTK_INFO ("Done.");
}
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