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// BH_diagnostics.cc -- compute/print BH diagnostics
// $Header$
//
// BH_diagnostics::BH_diagnostics - initialize a struct BH_diagnostics
//
// compute_BH_diagnostics - compute BH diagnostics
/// surface_integral - compute surface integral over a patch system
//
// print_BH_diagnostics - print a summary of BH diagnostics
//
// setup_BH_diagnostics_output_file - create/initialize BH-diagnostics file
// output_BH_diagnostics_fn - append BH diagnostics to file
//
#include <stdio.h>
#include <assert.h>
#include <math.h>
#include "util_Table.h"
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "config.h"
#include "stdc.h"
#include "../jtutil/util.hh"
#include "../jtutil/array.hh"
#include "../jtutil/cpm_map.hh"
#include "../jtutil/linear_map.hh"
using jtutil::error_exit;
#include "../patch/coords.hh"
#include "../patch/grid.hh"
#include "../patch/fd_grid.hh"
#include "../patch/patch.hh"
#include "../patch/patch_edge.hh"
#include "../patch/patch_interp.hh"
#include "../patch/ghost_zone.hh"
#include "../patch/patch_system.hh"
#include "../elliptic/Jacobian.hh"
#include "../gr/gfns.hh"
#include "../gr/gr.hh"
#include "horizon_sequence.hh"
#include "driver.hh"
//******************************************************************************
//
// prototypes for functions local to this file
//
namespace {
fp surface_integral(const patch_system& ps, int src_gfn,
enum patch::integration_method method);
}
//******************************************************************************
//******************************************************************************
//******************************************************************************
//
// This function initializes a struct BH_diagnostics to all zeros.
//
BH_diagnostics::BH_diagnostics()
: centroid_x(0.0), centroid_y(0.0), centroid_z(0.0),
mean_radius(0.0),
circumference_xy(0.0), circumference_xz(0.0), circumference_yz(0.0),
area(0.0),
m_irreducible(0.0)
{ }
//******************************************************************************
//******************************************************************************
//******************************************************************************
//
// Given that an apparent horizon has been found, this function computes
// various black hole diagnostics.
//
// Inputs (gridfns)
// h # ghosted
// one # nominal
// global_[xyz] # nominal
//
void compute_BH_diagnostics
(const patch_system& ps,
const struct BH_diagnostics_info& BH_diagnostics_info,
const struct verbose_info& verbose_info,
struct BH_diagnostics& BH_diagnostics)
{
//
// compute raw surface integrals
//
fp integral_one = surface_integral(ps, gfns::gfn__one,
BH_diagnostics_info.integral_method);
fp integral_h = surface_integral(ps, gfns::gfn__h,
BH_diagnostics_info.integral_method);
fp integral_x = surface_integral(ps, gfns::gfn__global_x,
BH_diagnostics_info.integral_method);
fp integral_y = surface_integral(ps, gfns::gfn__global_y,
BH_diagnostics_info.integral_method);
fp integral_z = surface_integral(ps, gfns::gfn__global_z,
BH_diagnostics_info.integral_method);
//
// adjust integrals to take into account patch system not covering full sphere
//
switch (ps.type())
{
case patch_system::patch_system__full_sphere:
break;
case patch_system::patch_system__plus_z_hemisphere:
integral_one *= 2.0;
integral_h *= 2.0;
integral_x *= 2.0;
integral_y *= 2.0;
integral_z = integral_one * ps.origin_z();
break;
case patch_system::patch_system__plus_xy_quadrant_mirrored:
case patch_system::patch_system__plus_xy_quadrant_rotating:
integral_one *= 4.0;
integral_h *= 4.0;
integral_x = integral_one * ps.origin_x();
integral_y = integral_one * ps.origin_y();
integral_z *= 4.0;
break;
case patch_system::patch_system__plus_xz_quadrant_rotating:
integral_one *= 4.0;
integral_h *= 4.0;
integral_x = integral_one * ps.origin_x();
integral_y *= 4.0;
integral_z = integral_one * ps.origin_z();
break;
case patch_system::patch_system__plus_xyz_octant_mirrored:
case patch_system::patch_system__plus_xyz_octant_rotating:
integral_one *= 8.0;
integral_h *= 8.0;
integral_x = integral_one * ps.origin_x();
integral_y = integral_one * ps.origin_y();
integral_z = integral_one * ps.origin_z();
break;
default:
CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"\n"
" compute_BH_diagnostics(): unknown ps.type()=(int)%d!\n"
" (this should never happen!)"
,
int(ps.type())); /*NOTREACHED*/
}
BH_diagnostics.centroid_x = integral_x / integral_one;
BH_diagnostics.centroid_y = integral_y / integral_one;
BH_diagnostics.centroid_z = integral_z / integral_one;
BH_diagnostics.area = integral_one;
BH_diagnostics.circumference_xy = ps.xy_circumference
(gfns::gfn__h,
gfns::gfn__g_dd_11, gfns::gfn__g_dd_12, gfns::gfn__g_dd_13,
gfns::gfn__g_dd_22, gfns::gfn__g_dd_23,
gfns::gfn__g_dd_33,
BH_diagnostics_info.integral_method);
BH_diagnostics.circumference_xz = ps.xz_circumference
(gfns::gfn__h,
gfns::gfn__g_dd_11, gfns::gfn__g_dd_12, gfns::gfn__g_dd_13,
gfns::gfn__g_dd_22, gfns::gfn__g_dd_23,
gfns::gfn__g_dd_33,
BH_diagnostics_info.integral_method);
BH_diagnostics.circumference_yz = ps.yz_circumference
(gfns::gfn__h,
gfns::gfn__g_dd_11, gfns::gfn__g_dd_12, gfns::gfn__g_dd_13,
gfns::gfn__g_dd_22, gfns::gfn__g_dd_23,
gfns::gfn__g_dd_33,
BH_diagnostics_info.integral_method);
BH_diagnostics.mean_radius = integral_h / integral_one;
BH_diagnostics.m_irreducible = sqrt(BH_diagnostics.area / (16.0*PI));
}
//******************************************************************************
//
// This function computes the surface integral of a gridfn over the
// horizon.
//
namespace {
fp surface_integral(const patch_system& ps, int src_gfn,
enum patch::integration_method method)
{
return ps.integrate_gridfn
(src_gfn,
gfns::gfn__h,
gfns::gfn__g_dd_11, gfns::gfn__g_dd_12, gfns::gfn__g_dd_13,
gfns::gfn__g_dd_22, gfns::gfn__g_dd_23,
gfns::gfn__g_dd_33,
method);
}
}
//******************************************************************************
//******************************************************************************
//******************************************************************************
//
// This function prints a summary of the BH diagnostics, using CCTK_VInfo().
//
void print_BH_diagnostics(const struct BH_diagnostics& BH_diagnostics,
int N_horizons, int hn,
const struct verbose_info& verbose_info)
{
if (verbose_info.print_physics_details)
then {
CCTK_VInfo(CCTK_THORNSTRING,
"AH %d/%d: r=%g at (%f,%f,%f)",
hn, N_horizons,
double(BH_diagnostics.mean_radius),
double(BH_diagnostics.centroid_x),
double(BH_diagnostics.centroid_y),
double(BH_diagnostics.centroid_z));
CCTK_VInfo(CCTK_THORNSTRING,
"AH %d/%d: area=%.10g m_irreducible=%.10g",
hn, N_horizons,
double(BH_diagnostics.area),
double(BH_diagnostics.m_irreducible));
}
}
//******************************************************************************
//******************************************************************************
//******************************************************************************
//
// This function creates a BH-diagnostics output file, writes a suitable
// header comment, and returns a stdio file pointer which can be used to
// append data to the file.
//
FILE* setup_BH_diagnostics_output_file(const struct IO_info& IO_info,
int N_horizons, int hn)
{
const int N_file_name_buffer = 200;
char file_name_buffer[N_file_name_buffer];
snprintf(file_name_buffer, N_file_name_buffer,
"%s.ah%d.%s",
IO_info.BH_diagnostics_base_file_name,
hn, IO_info.BH_diagnostics_file_name_extension);
FILE *fileptr = fopen(file_name_buffer, "w");
if (fileptr == NULL)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"\n"
" setup_BH_diagnostics_output_file():\n"
" can't open BH-diagnostics output file\n"
" \"%s\"!"
,
file_name_buffer); /*NOTREACHED*/
fprintf(fileptr, "# apparent horizon %d/%d\n", hn, N_horizons);
fprintf(fileptr, "#\n");
fprintf(fileptr, "# column 1 = cctk_iteration\n");
fprintf(fileptr, "# column 2 = cctk_time\n");
fprintf(fileptr, "# column 3 = centroid_x\n");
fprintf(fileptr, "# column 4 = centroid_y\n");
fprintf(fileptr, "# column 5 = centroid_z\n");
fprintf(fileptr, "# column 6 = mean radius\n");
fprintf(fileptr, "# column 7 = xy-plane circumference\n");
fprintf(fileptr, "# column 8 = xz-plane circumference\n");
fprintf(fileptr, "# column 9 = yz-plane circumference\n");
fprintf(fileptr, "# column 10 = area\n");
fprintf(fileptr, "# column 11 = m_irreducible\n");
fflush(fileptr);
return fileptr;
}
//******************************************************************************
//
// This function appends a BH-diagnostics line to a data file. It
// attempts to ensure that the newly-written line is flushed to disk,
// so the output file can be examined while the Cactus run is still in
// progress.
//
// (The "_fn" in the function name is to distinguish it from the Cactus
// parameter output_BH_diagnostics .)
//
// Arguments:
// BH_diagnostics = The BH diagnostics to be written
// fileptr = The stdio file pointer to append to
//
void output_BH_diagnostics_fn(const struct BH_diagnostics& BH_diagnostics,
const struct IO_info& IO_info,
int hn, FILE* fileptr)
{
assert(fileptr != NULL);
fprintf(fileptr,
// cctk_iteration mean radius area m_irreducible
// == cctk_time ====== {xy,xz,yz}-plane ====== ======
// == ==== centroid_[xyz] circumferences ====== ======
// == ==== ========== ====== ====================== ====== ======
"%d\t%.3f\t%f\t%f\t%f\t%#.10g\t%#.10g\t%#.10g\t%#.10g\t%#.10g\t%#.10g\n",
IO_info.time_iteration, double(IO_info.time),
BH_diagnostics.centroid_x, BH_diagnostics.centroid_y,
BH_diagnostics.centroid_z,
BH_diagnostics.mean_radius,
BH_diagnostics.circumference_xy, BH_diagnostics.circumference_xz,
BH_diagnostics.circumference_yz,
BH_diagnostics.area,
BH_diagnostics.m_irreducible);
fflush(fileptr);
}
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