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// driver.cc -- top level driver for finding apparent horizons
// $Id$
//
// <<<prototypes for functions local to this file>>>
// AHFinderDirect_driver - top-level driver
/// setup_Kerr_KerrSchild_initial_guess - set up Kerr/Kerr-Schild initial guess
//
#include <stdio.h>
#include <assert.h>
#include <math.h>
#include <vector>
#include "util_Table.h"
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "stdc.h"
#include "config.hh"
#include "../jtutil/util.hh"
#include "../jtutil/array.hh"
#include "../jtutil/cpm_map.hh"
#include "../jtutil/linear_map.hh"
using jtutil::error_exit;
#include "../util/coords.hh"
#include "../util/grid.hh"
#include "../util/fd_grid.hh"
#include "../util/patch.hh"
#include "../util/patch_edge.hh"
#include "../util/patch_interp.hh"
#include "../util/ghost_zone.hh"
#include "../util/patch_system.hh"
#include "../elliptic/Jacobian.hh"
#include "gfn.hh"
#include "AHFinderDirect.hh"
//******************************************************************************
//
// ***** prototypes for functions local to this file *****
//
namespace {
void setup_Kerr_KerrSchild_horizon(patch_system& ps,
fp mass, fp spin,
fp xposn, fp yposn, fp zposn);
};
//******************************************************************************
//
// This function is the Cactus interface for the test driver.
//
extern "C"
void AHFinderDirect_driver(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_VInfo(CCTK_THORNSTRING, "initializing AHFinderDirect data structures");
//
// set up the geometry interpolator
//
struct geometry_interpolator_info gii;
CCTK_VInfo(CCTK_THORNSTRING, " setting up geometry interpolator");
gii.operator_handle = CCTK_InterpHandle(geometry_interpolator_name);
if (gii.operator_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"couldn't find interpolator \"%s\"!",
geometry_interpolator_name); /*NOTREACHED*/
gii.param_table_handle = Util_TableCreateFromString(geometry_interpolator_pars);
if (gii.param_table_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"bad geometry-interpolator parameter(s) \"%s\"!",
geometry_interpolator_pars); /*NOTREACHED*/
//
// set up the interpatch interpolator
//
CCTK_VInfo(CCTK_THORNSTRING, " setting up interpatch interpolator");
const int interp_handle = CCTK_InterpHandle(interpatch_interpolator_name);
if (interp_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"couldn't find interpolator \"%s\"!",
interpatch_interpolator_name); /*NOTREACHED*/
const int interp_param_table_handle
= Util_TableCreateFromString(interpatch_interpolator_pars);
if (interp_param_table_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"bad interpatch-interpolator parameter(s) \"%s\"!",
interpatch_interpolator_pars); /*NOTREACHED*/
//
// set up the Cactus grid info
//
CCTK_VInfo(CCTK_THORNSTRING, " setting up Cactus grid info");
struct cactus_grid_info cgi;
cgi.GH = cctkGH;
cgi.coord_origin[0] = cctk_origin_space[0];
cgi.coord_origin[1] = cctk_origin_space[1];
cgi.coord_origin[2] = cctk_origin_space[2];
cgi.coord_delta[0] = cctk_delta_space[0];
cgi.coord_delta[1] = cctk_delta_space[1];
cgi.coord_delta[2] = cctk_delta_space[2];
cgi.gridfn_dims[0] = cctk_lsh[0];
cgi.gridfn_dims[1] = cctk_lsh[1];
cgi.gridfn_dims[2] = cctk_lsh[2];
// n.b. The cgi.[gK]_dd_??_data are actually const fp * pointers,
// since we won't modify the 3-D gridfn data! But static_cast<...>
// won't change const modifiers, so we just cast to fp* and let
// the assignment take care of the const part...
cgi.g_dd_11_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::gxx"));
cgi.g_dd_12_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::gxy"));
cgi.g_dd_13_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::gxz"));
cgi.g_dd_22_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::gyy"));
cgi.g_dd_23_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::gyz"));
cgi.g_dd_33_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::gzz"));
cgi.K_dd_11_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::kxx"));
cgi.K_dd_12_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::kxy"));
cgi.K_dd_13_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::kxz"));
cgi.K_dd_22_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::kyy"));
cgi.K_dd_23_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::kyz"));
cgi.K_dd_33_data = static_cast<fp*>(CCTK_VarDataPtr(cctkGH,0, "einstein::kzz"));
//
// create the patch system and initialize the xyz derivative coefficients
//
CCTK_VInfo(CCTK_THORNSTRING, " creating patch system");
patch_system ps(origin_x, origin_y, origin_z,
patch_system::type_of_name(patch_system_type),
N_ghost_points, N_overlap_points, delta_drho_dsigma,
nominal_gfns::min_gfn, nominal_gfns::max_gfn,
ghosted_gfns::min_gfn, ghosted_gfns::max_gfn,
interp_handle, interp_param_table_handle);
//
// set up the initial guess for the apparent horizon shape
//
if (STRING_EQUAL(initial_guess_method, "read from file"))
then {
CCTK_VInfo(CCTK_THORNSTRING,
" reading initial guess from \"%s\"",
initial_guess__read_from_file__file_name);
ps.read_ghosted_gridfn(ghosted_gfns::gfn__h,
initial_guess__read_from_file__file_name,
false); // no ghost zones
}
else if (STRING_EQUAL(initial_guess_method, "Kerr/Kerr-Schild"))
then {
setup_Kerr_KerrSchild_horizon(ps,
initial_guess__Kerr_KerrSchild__mass,
initial_guess__Kerr_KerrSchild__spin,
initial_guess__Kerr_KerrSchild__xposn,
initial_guess__Kerr_KerrSchild__yposn,
initial_guess__Kerr_KerrSchild__zposn);
ps.print_ghosted_gridfn_with_xyz(ghosted_gfns::gfn__h,
true, ghosted_gfns::gfn__h,
"h.dat",
false); // no ghost zones
}
else CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"unknown initial_guess_method=\"%s\"!",
initial_guess_method); /*NOTREACHED*/
//
// find the apparent horizon
//
if (STRING_EQUAL(method, "horizon"))
then {
horizon_function(ps, cgi, gii, false);
ps.print_gridfn_with_xyz(nominal_gfns::gfn__H,
true, ghosted_gfns::gfn__h,
"H.dat");
}
if (STRING_EQUAL(method, "horizon Jacobian"))
then {
Jacobian& Jac = create_Jacobian(ps, Jacobian_type);
horizon_function(ps, cgi, gii, true);
horizon_Jacobian(ps, Jac);
}
else CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"unknown method=\"%s\"!",
method); /*NOTREACHED*/
}
//******************************************************************************
//
// This function sets up the horizon of a Kerr black hole in Kerr-Schild
// coordinates, on the nominal grid, in the h gridfn.
//
// Kerr-Schild coordinates are described in MTW Exercise 33.8, page 903,
// and the horizon is worked out on page 13 of my AHFinderDirect notes.
//
// Arguments:
// (mass,spin) = Describe the Kerr black hole.
// [xyz]_posn = The position of the Kerr black hole.
//
namespace {
void setup_Kerr_KerrSchild_horizon(patch_system& ps,
fp mass, fp spin,
fp xposn, fp yposn, fp zposn)
{
CCTK_VInfo(CCTK_THORNSTRING,
" setting up Kerr/Kerr-Schild horizon");
CCTK_VInfo(CCTK_THORNSTRING,
" mass=%g, spin=%g, posn=(%g,%g,%g)",
double(mass), double(spin),
double(xposn), double(yposn), double(zposn));
// horizon in Kerr-Schild is coordinate sphere $r = (1 + \sqrt{1-a^2}) m$
const fp r = (1.0 + sqrt(1.0 - spin*spin)) * mass;
for (int pn = 0 ; pn < ps.N_patches() ; ++pn)
{
patch& p = ps.ith_patch(pn);
for (int irho = p.min_irho() ; irho <= p.max_irho() ; ++irho)
{
for (int isigma = p.min_isigma() ;
isigma <= p.max_isigma() ;
++isigma)
{
const fp rho = p.rho_of_irho(irho);
const fp sigma = p.sigma_of_isigma(isigma);
fp theta, phi;
p.theta_phi_of_rho_sigma(rho,sigma, theta,phi);
fp Kerr_x, Kerr_y, Kerr_z;
p.xyz_of_r_rho_sigma(r,rho,sigma, Kerr_x,Kerr_y,Kerr_z);
const fp KS_x = Kerr_x - spin*sin(theta)*sin(phi);
const fp KS_y = Kerr_y + spin*sin(theta)*cos(phi);
const fp KS_z = Kerr_z;
p.ghosted_gridfn(ghosted_gfns::gfn__h,irho,isigma)
= jtutil::hypot3(KS_x, KS_y, KS_z);
}
}
}
}
}
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