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|
c/*@@
c @file AHFinder.F
c @date April 1998
c @author Miguel Alcubierre
c @desc
c Find an apparent horizon.
c @enddesc
c@@*/
c Note thadmcevol_onpunc_0.250_128_neu2_drop/at including cactus.h will also include AHFinder.h
#include "cctk.h"
#include "cctk_parameters.h"
#include "cctk_arguments.h"
subroutine AHFinder(CCTK_FARGUMENTS)
use AHFinder_dat
implicit none
DECLARE_CCTK_FARGUMENTS
DECLARE_CCTK_PARAMETERS
logical status,horizon,gauss
integer handle,x_index,y_index,z_index,ierror
CCTK_REAL maxval(3),minval(3)
CCTK_INT ahfso,ahfafter
integer i,j,l,m
integer NN
integer mtype
CCTK_INT getoutpfx
INTEGER CCTK_Equals
INTEGER CCTK_MyProc
INTEGER CCTK_nProcs
INTEGER istat
CCTK_REAL atime
CCTK_REAL zero,half,one
CCTK_REAL xmn,ymn,zmn,xmx,ymx,zmx,rmx,r0
CCTK_REAL intexp_h,intexp2_h,intarea_h
CCTK_REAL circ_eq,meri_p1,meri_p2
CCTK_REAL aux,expin,expout,small1,small2
CCTK_REAL c0_temp(18)
character*200 almf,logf,areaf,massf,circeqf,merip1f,merip2f
save ahfafter,ahfso,atime
#include "CactusEinstein/Einstein/src/Einstein.h"
! Description of variables:
!
! status Surface found?
!
! horizon Horizon found?
!
! gauss Ouput Gaussian curvature?
!
! ahfso How often we want to find a horizon?
! ahfafter After how many iterations start looking for horizons?
!
! i,l,m Counters.
!
! NN Total number of terms in expansion.
!
! xmn Minimum value of x over the grid.
! xmx Maximum value of x over the grid.
!
! ymn Minimum value of y over the grid.
! ymx Maximum value of y over the grid.
!
! zmn Minimum value of z over the grid.
! zmx Maximum value of z over the grid.
!
! rmx Radius of largest sphere that fits in the grid.
!
! circ_eq Equatorial circumference.
! meri_p1 Length of meridian at phi=0.
! meri_p2 Length of meridian at phi=pi/2.
!
! mtype Type of surface.
! 1. Integral of H^2 is positive out and negative in.
! 2. Integral of H^2 is negative out and positive in.
! 3. Integral of H^2 is negative out and in.
! 4. Integral of H^2 is positive out and in.
! **************************
! *** DEFINE NUMBERS ***
! **************************
zero = 0.0D0
half = 0.5D0
one = 1.0D0
dx = cctk_delta_space(1)
dy = cctk_delta_space(2)
dz = cctk_delta_space(3)
! ********************************
! *** INITIALIZE {status} ***
! ********************************
status = .false.
myproc = CCTK_MyProc( cctkGH )
nprocs = CCTK_nProcs( cctkGH )
! *********************************
! *** INITIALIZE FIRSTCALLS ***
! *********************************
firstleg = .true.
firstint = .true.
! ***********************************************
! *** CHECK IF WE WANT TO FIND 3 HORIZONS ***
! ***********************************************
if (ahf_find3.ne.0) then
find3 = .true.
else
find3 = .false.
end if
! *********************************************
! *** CHECK IF WE WANT TO FIND A HORIZON ***
! *********************************************
! See if we want to find a horizon at this time.
if (ahf_ncall.eq.0) then
atime = ahf_findaftertime
ahfafter = ahf_findafter
ahfso = ahf_findevery
if (atime.le.zero) then
if (cctk_iteration.lt.ahfafter) return
else
if (cctk_time.lt.atime) return
ahfafter = cctk_iteration
end if
end if
if (mod(cctk_iteration-ahfafter,ahfso).ne.0) return
! BoxInBox may turn of AHF this way during runtime (BB)
! if (contains("ahf_active","no").ne.0) then
if (ahf_active.eq.0) then
return
endif
! Sorry for this hack, but the call order for BoxInBox is screwy in
! cactus 3.2
#ifdef THORN_BOXINBOX
! if ((contains("boxinbox","yes").ne.0).and.(ahf_ncall.eq.0)) then
if ((boxinbox.ne.0).and.(ahf_ncall.eq.0)) then
return;
endif
#endif
! *******************************************
! *** ADD TO COUNT OF CALLS TO FINDER ***
! *******************************************
1 continue
! Say what we are doing.
if (find3) then
if (mfind.eq.0) then
write(*,*)
write(*,*) 'AHFinder: Looking for 3 apparent horizons'
write(*,*) 'AHFinder: Searching for first horizon'
else if (mfind.eq.1) then
write(*,*)
write(*,*) 'AHFinder: Searching for second horizon'
else if (mfind.eq.2) then
write(*,*)
write(*,*) 'AHFinder: Searching for third horizon'
end if
else
write(*,*)
write(*,*) 'AHFinder: Looking for horizon'
end if
! Add to count of calls to finder. Notice that this counter
! was initialized to zero, so it must be increased now to 1.
! If we look for 3 horizons, it should be done before looking
! for the first one.
if (find3) then
if (mfind.eq.0) then
ahf_ncall = ahf_ncall + 1
end if
else
ahf_ncall = ahf_ncall + 1
end if
! *******************************************************
! *** FIND OUT IF WE WANT TO FIND TRAPPED SURFACE ***
! *******************************************************
! find_trapped_surface = contains("ahf_trapped_surface","yes").ne.0
if (ahf_trapped_surface.ne.0) then
find_trapped_surface = .true.
else
find_trapped_surface = .false.
end if
! trapped_surface_delta = getr8("trapped_surface_delta")
! ********************************************
! *** GET THE NAME OF OUTPUT DIRECTORY ***
! ********************************************
call CCTK_FortranString(nfile,outdir,filestr)
cGAB : should there still be an if statement here
if (.true.) then
if (find3) then
if (mfind.eq.0) then
logf = filestr(1:nfile)//"ahf_logfile_0"
almf = filestr(1:nfile)//"ahf_coeff_0.alm"
areaf = filestr(1:nfile)//"ahf_area_0.tl"
massf = filestr(1:nfile)//"ahf_mass_0.tl"
circeqf = filestr(1:nfile)//"ahf_circ_eq_0.tl"
merip1f = filestr(1:nfile)//"ahf_meri_p1_0.tl"
merip2f = filestr(1:nfile)//"ahf_meri_p2_0.tl"
else if (mfind.eq.1) then
logf = filestr(1:nfile)//"ahf_logfile_1"
almf = filestr(1:nfile)//"ahf_coeff_1.alm"
areaf = filestr(1:nfile)//"ahf_area_1.tl"
massf = filestr(1:nfile)//"ahf_mass_1.tl"
circeqf = filestr(1:nfile)//"ahf_circ_eq_1.tl"
merip1f = filestr(1:nfile)//"ahf_meri_p1_1.tl"
merip2f = filestr(1:nfile)//"ahf_meri_p2_1.tl"
else
logf = filestr(1:nfile)//"ahf_logfile_2"
almf = filestr(1:nfile)//"ahf_coeff_2.alm"
areaf = filestr(1:nfile)//"ahf_area_2.tl"
massf = filestr(1:nfile)//"ahf_mass_2.tl"
circeqf = filestr(1:nfile)//"ahf_circ_eq_2.tl"
merip1f = filestr(1:nfile)//"ahf_meri_p1_2.tl"
merip2f = filestr(1:nfile)//"ahf_meri_p2_2.tl"
end if
else
logf = filestr(1:nfile)//"ahf_logfile"
almf = filestr(1:nfile)//"ahf_coeff.alm"
areaf = filestr(1:nfile)//"ahf_area.tl"
massf = filestr(1:nfile)//"ahf_mass.tl"
circeqf = filestr(1:nfile)//"ahf_circ_eq.tl"
merip1f = filestr(1:nfile)//"ahf_meri_p1.tl"
merip2f = filestr(1:nfile)//"ahf_meri_p2.tl"
end if
end if
! **************************************************
! *** TRANSFORM CONFORMAL TO PHYSICAL METRIC ***
! **************************************************
! call ConfToPhys(nx,ny,nz,psi,gxx,gxy,gxz,gyy,gyz,gzz)
call CCTK_WARN(4,"Converting metric: conformal -> physical")
gxx=gxx*psi**4
gxy=gxy*psi**4
gxz=gxz*psi**4
gyy=gyy*psi**4
gyz=gyz*psi**4
gzz=gzz*psi**4
conformal_state = NOCONFORMAL_METRIC
! ***************************************
! *** FIND OUT THE TYPE OF OUTPUT ***
! ***************************************
! logfile = contains("ahf_logfile","yes").ne.0
if (ahf_logfile.ne.0) then
logfile = .true.
else
logfile = .false.
end if
! verbose = contains("ahf_verbose","yes").ne.0
if (ahf_verbose.ne.0) then
verbose = .true.
else
verbose = .false.
end if
! veryver = contains("ahf_veryverbose","yes").ne.0
if (ahf_veryverbose.ne.0) then
veryver = .true.
else
veryver = .false.
end if
! guessverbose = contains("ahf_guessverbose","yes").ne.0
if (ahf_guessverbose.ne.0) then
guessverbose = .true.
else
guessverbose = .false.
end if
if (logfile.and.(myproc.eq.0)) then
if (logfile) then
if (myproc.eq.0) then
open(1,file=logf,form='formatted',status='replace')
write(1,*)
write(1,*) 'LOG FILE FOR MINIMIZATION APPARENT HORIZON FINDER'
write(1,*)
write(1,*) 'Note: During an evolution, This file will only'
write(1,*) 'contain information about the last time that the'
write(1,*) 'finder was called.'
write(1,*)
close(1)
end if
end if
endif
! *******************************************
! *** FIND {xmn,xmx,ymn,ymx,zmn,zmx} ***
! *******************************************
call CCTK_CoordRange(ierr,cctkGH,xmn,xmx,"x")
call CCTK_CoordRange(ierr,cctkGH,ymn,ymx,"y")
call CCTK_CoordRange(ierr,cctkGH,zmn,zmx,"z")
! **********************************
! *** INITIALIZE {xc,yc,zc} ***
! **********************************
if (find3) then
if (mfind.eq.0) then
xc = ahf_xc_0
yc = ahf_yc_0
zc = ahf_zc_0
else if (mfind.eq.1) then
xc = ahf_xc_1
yc = ahf_yc_1
zc = ahf_zc_1
else
xc = ahf_xc_2
yc = ahf_yc_2
zc = ahf_zc_2
end if
else
xc = ahf_xc
yc = ahf_yc
zc = ahf_zc
end if
if ((xc.gt.xmx).or.(xc.lt.xmn)) then
write(*,*)
write(*,*) 'xc is out of the grid, reseting it to zero ...'
write(*,*)
xc = zero
end if
if ((yc.gt.ymx).or.(yc.lt.ymn)) then
write(*,*)
write(*,*) 'yc is out of the grid, reseting it to zero ...'
write(*,*)
yc = zero
end if
if ((yc.gt.ymx).or.(yc.lt.ymn)) then
write(*,*)
write(*,*) 'zc is out of the grid, reseting it to zero ...'
write(*,*)
zc = zero
end if
! **************************
! *** FIND SYMMETRIES ***
! **************************
! Find out if we want to move the center.
! offset = contains("ahf_offset","yes").ne.0
if (ahf_offset.ne.0) then
offset = .true.
else
offset = .false.
end if
! wander = contains("ahf_wander","yes").ne.0
if (ahf_wander.ne.0) then
wander = .true.
else
wander = .false.
end if
if ((xc.ne.zero).or.(yc.ne.zero).or.(zc.ne.zero).or.
. (wander)) offset = .true.
! Find out if we are in non-axisymmetric mode.
if (ahf_phi.ne.0) then
nonaxi = .true.
else
nonaxi = .false.
end if
! nonaxi = contains("ahf_phi","yes").ne.0
! Find out reflection symmetries.
if ((CCTK_Equals(ahf_octant,"yes").eq.1).or.
. (CCTK_Equals(ahf_octant,"high").eq.1)) then
refx = .true.
refy = .true.
refz = .true.
else
if (ahf_refx.ne.0) then
refx = .true.
else
refx = .false.
end if
if (ahf_refy.ne.0) then
refy = .true.
else
refy = .false.
end if
if (ahf_refz.ne.0) then
refz = .true.
else
refz = .false.
end if
end if
! if (contains("ahf_phi","no").ne.0) then
if (ahf_phi.eq.0) then
refx = .true.
refy = .true.
end if
! Force grid symmetries.
if (CCTK_Equals(domain,"octant").eq.1) then
if (xc.eq.zero) refx = .true.
if (yc.eq.zero) refy = .true.
if (zc.eq.zero) refz = .true.
else if (CCTK_Equals(domain,"quadrant").eq.1) then
if (xc.eq.zero) refx = .true.
if (yc.eq.zero) refy = .true.
end if
! Find {stepx,stepy,stepz}.
stepx = 0
stepy = 0
stepz = 0
if (refx) stepx=1
if (refy) stepy=1
if (refz) stepz=1
if (CCTK_Equals(ahf_octant,"high").eq.1) stepx=3
! Check if we are using Cartoon_2d, in which case
! we override the value of "ahf_phi" since we have
! axisymmetry.
cartoon = .false.
#ifdef THORN_cartoon_2d
! cartoon = contains("cartoon_active","yes").ne.0
if (cartoon_active.ne.0) then
cartoon = .true.
else
cartoon = .false.
end if
#endif
if (cartoon) then
nonaxi = .false.
refx = .true.
refy = .true.
end if
! ************************
! *** FIND {lmax} ***
! ************************
! lmax = geti("ahf_lmax")
lmax = ahf_lmax
if (lmax.ge.20) then
write(*,*)
write(*,*) 'ahf_lmax must be smaller than 20.'
write(*,*) 'STOPPED IN AHFinder.F'
write(*,*)
STOP
end if
! *******************************
! *** FIND {ntheta,nphi} ***
! *******************************
ntheta = ahf_ntheta
nphi = ahf_nphi
! For cartoon, I use only 2 points in the phi direction.
! I could use one, but using 2 minimizes the changes in
! the integration routine.
if (cartoon) then
nphi = 1
end if
! ***************************************************
! *** ALLOCATE STORAGE FOR COEFFICIENT ARRAYS ***
! ***************************************************
if ((ahf_ncall.eq.1).and.(mfind.eq.0)) then
allocate(c0(0:lmax),c0_old(0:lmax))
allocate(cc(lmax,lmax),cc_old(lmax,lmax))
allocate(cs(lmax,lmax),cs_old(lmax,lmax))
end if
! ********************************************************
! *** FIND TOTAL NUMBER OF TERMS IN EXPANSION {NN} ***
! ********************************************************
NN = 0
! Count {xc,yc,zc}.
if (wander) then
if (.not.refx) NN = NN + 1
if (.not.refy) NN = NN + 1
if (.not.refz) NN = NN + 1
end if
! Count c0(l).
do l=0,lmax,1+stepz
NN = NN + 1
end do
if (nonaxi) then
! Count cc(l,m).
do l=1,lmax
do m=1+stepx,l,1+stepx
if (stepz*mod(l-m,2).eq.0) NN = NN +1
end do
end do
! Count cs(l,m).
if (.not.refy) then
do l=1,lmax
do m=1,l,1+stepx
if (stepz*mod(l-m,2).eq.0) NN = NN + 1
end do
end do
end if
end if
! *****************************************
! *** FIND RADIUS OF INITIAL SPHERE ***
! *****************************************
! Find largest sphere that fits into the grid, taking
! into account the position of the center. Then multiply
! this number with 0.8 to leave a safety margin at the edge
! of the grid.
! Cartoon.
if (cartoon) then
xc = zero
yc = zero
rmx = min(xmx,zmx-zc,zc-zmn)
! Octant.
else if (CCTK_Equals(domain,"octant").eq.1) then
if ((xc.eq.zero).and.(yc.eq.zero).and.(zc.eq.zero)) then
rmx = min(xmx,ymx,zmx)
else if ((xc.eq.zero).and.(yc.eq.zero)) then
rmx = min(xmx,ymx,zmx-zc,zc)
else if ((xc.eq.zero).and.(zc.eq.zero)) then
rmx = min(xmx,ymx-yc,zmx,yc)
else if ((yc.eq.zero).and.(zc.eq.zero)) then
rmx = min(xmx-xc,ymx,zmx,xc)
else if (xc.eq.zero) then
rmx = min(xmx,ymx-yc,zmx-zc,yc,zc)
else if (yc.eq.zero) then
rmx = min(xmx-xc,ymx,zmx-zc,xc,zc)
else if (zc.eq.zero) then
rmx = min(xmx-xc,ymx-yc,zmx,xc,yc)
else
rmx = min(xmx-xc,ymx-yc,zmx-zc,xc,yc,zc)
end if
! Quadrant.
else if (CCTK_Equals(domain,"quadrant").eq.1) then
if ((xc.eq.zero).and.(yc.eq.zero)) then
rmx = min(xmx,ymx,zmx-zc,zc-zmn)
else if (xc.eq.zero) then
rmx = min(xmx,ymx-yc,zmx-zc,yc,zc-zmn)
else if (yc.eq.zero) then
rmx = min(xmx-xc,ymx,zmx-zc,xc,zc-zmn)
else
rmx = min(xmx-xc,ymx-yc,zmx-zc,xc,yc,zc-zmn)
end if
! Full.
else
rmx = min(xmx-xc,ymx-yc,zmx-zc,xc-xmn,yc-ymn,zc-zmn)
end if
rmx = 0.8*rmx
! Check if a special radius for the initial sphere
! has been forced by the parameter file.
if (find3) then
if (mfind.eq.0) then
r0 = ahf_r0_0
else if (mfind.eq.1) then
r0 = ahf_r0_1
else
r0 = ahf_r0_2
end if
else
r0 = ahf_r0
end if
if (r0.ne.zero) then
if (r0.le.rmx) then
rmx = r0
else
write (*,*)
write (*,*) 'ahf_r0 is too large, rescaling ...'
write (*,*)
end if
end if
! *************************************************
! *** GET INITIAL GUESS AND LOOK FOR HORIZON ***
! *************************************************
! initializing flags
if (ahf_sloppyguess.ne.0) then
sloppy = .true.
else
sloppy = .false.
end if
! sloppy = contains("ahf_sloppyguess","yes").ne.0
if (cartoon) sloppy = .true.
if (ahf_flow.ne.0) then
flow = .true.
else
flow = .false.
end if
! flow = contains("ahf_flow","yes").ne.0
if (ahf_inner.ne.0) then
inner = .true.
else
inner = .false.
end if
! inner = contains("ahf_inner","yes").ne.0
if (ahf_guessold.ne.0) then
guessold = .true.
else
guessold = .false.
end if
! guessold = contains("ahf_guessold","yes").ne.0
if (ahf_guess_absmin.ne.0) then
guess_absmin = .true.
else
guess_absmin = .false.
end if
! guess_absmin = contains("ahf_guess_absmin","yes").ne.0
if (ahf_manual_guess.ne.0) then
manual_guess = .true.
else
manual_guess = .false.
end if
! manual_guess = contains("ahf_manual_guess","yes").ne.0
if (ahf_minarea.ne.0) then
minarea = .true.
else
minarea = .false.
end if
! minarea = contains("ahf_minarea","yes").ne.0
! get initial guess and jump into finder routines
if ((.not.flow).and.guessold.and.(ahf_ncall.gt.1)) then
call AHFinder_initguess(CCTK_FARGUMENTS,rmx)
call AHFinder_min(CCTK_FARGUMENTS,NN,status,logf)
else if ((.not.flow).and.manual_guess) then
! if (contains("grid","octant").eq.0) then
if (CCTK_Equals(domain,"octant").eq.0) then
write(*,*) 'AHFinder: if you want to use ahf_manual_guess'
write(*,*) ' without grid=octant, you will have to make'
write(*,*) ' it work!'
STOP
endif
c0(0) = ahf_l0_guess
c0_temp(2) = ahf_l2_guess
c0_temp(4) = ahf_l4_guess
c0_temp(6) = ahf_l6_guess
c0_temp(8) = ahf_l8_guess
c0_temp(10) = ahf_l10_guess
c0_temp(12) = ahf_l12_guess
c0_temp(14) = ahf_l14_guess
c0_temp(16) = ahf_l16_guess
c0_temp(18) = ahf_l18_guess
do i = 2,lmax,2
c0(i) = c0_temp(i)
enddo
call AHFinder_initguess(CCTK_FARGUMENTS,rmx)
call AHFinder_min(CCTK_FARGUMENTS,NN,status,logf)
else if (.not.flow) then
call AHFinder_initguess(CCTK_FARGUMENTS,rmx)
call AHFinder_min(CCTK_FARGUMENTS,NN,status,logf)
else
if ((ahf_ncall.eq.1).and.(mfind.eq.0)) then
allocate(hflow0(0:lmax),cflow0(0:lmax),nflow0(0:lmax))
allocate(hflowc(lmax,lmax),cflowc(lmax,lmax),nflowc(lmax,lmax))
allocate(hflows(lmax,lmax),cflows(lmax,lmax),nflows(lmax,lmax))
end if
call AHFinder_flow(CCTK_FARGUMENTS,rmx,status,logf)
flow = .false.
end if
! ***************************************
! *** WRITE MESSAGES AND LOG FILE ***
! ***************************************
if (status) then
! Check if the expansion on the surface is small enough
! for a horizon. How small is small enough is of course
! pretty arbitrary, so to reduce the subjectivity I use
! three separate criteria:
!
! 1) The integral of the square of the expansion at the surface
! must be smaller than a given threshold (small1).
!
! 2) The mean value of the expansion on the surface must be
! smaller in absolute value than its standard deviation.
! This means that the mean value of the expansion is
! consistent with zero.
!
! 3) The integral of the square of the expansion at the surface
! must be smaller by a factor of "small2" than the same
! integral slightly outside and slightly inside.
horizon = .true.
small1 = 1.0D-2
small2 = 0.5D0
! Surface found.
call AHFinder_fun(CCTK_FARGUMENTS)
call AHFinder_exp(CCTK_FARGUMENTS)
call AHFinder_int(CCTK_FARGUMENTS)
! gauss = contains("ahf_gaussout","yes").ne.0
if (ahf_gaussout.ne.0) then
call AHFinder_gau(CCTK_FARGUMENTS,circ_eq,meri_p1,meri_p2)
end if
intexp_h = intexp
intexp2_h = intexp2
intarea_h = intarea
if (intexp2_h.gt.small1) horizon = .false.
! Find standard deviation: sqrt(<exp^2> - <exp>^2)
aux = dsqrt(intexp2_h/intarea_h - (intexp_h/intarea_h)**2)
if (dabs(intexp_h/intarea_h)-aux.gt.zero) horizon = .false.
! Surface slightly inside
aux = c0(0)
c0(0) = aux - half*min(dx,dy,dz)
call AHFinder_int(CCTK_FARGUMENTS)
expin = intexp
if (intexp2_h.gt.small2*intexp2) horizon = .false.
if (veryver) then
write(*,*)
write(*,*) 'Surface slightly inside the minimum surface: '
write(*,"(A8,ES14.6)") ' H : ',intexp
write(*,"(A8,ES14.6)") ' H^2: ',intexp2
write(*,"(A13,ES14.6)") ' H/area : ',intexp/intarea
write(*,"(A13,ES14.6)") ' H^2/area: ',intexp2/intarea
write(*,*) 'number of interpolated points: ',
. inside_min_count
write(*,*) ' number of those that are negative: ',
. inside_min_neg_count
endif
! Surface slightly outside.
c0(0) = aux + half*min(dx,dy,dz)
call AHFinder_int(CCTK_FARGUMENTS)
expout = intexp
if (intexp2_h.gt.small2*intexp2) horizon = .false.
if (veryver) then
write(*,*)
write(*,*) 'Surface slightly outside the minimum surface: '
write(*,"(A8,ES14.6)") ' H : ',intexp
write(*,"(A8,ES14.6)") ' H^2: ',intexp2
write(*,"(A13,ES14.6)") ' H/area : ',intexp/intarea
write(*,"(A13,ES14.6)") ' H^2/area: ',intexp2/intarea
endif
c0(0) = aux
! What kind of horizon?
if ((expin.le.zero).and.(expout.ge.zero)) then
mtype = 1
else if ((expin.ge.zero).and.(expout.le.zero)) then
mtype = 2
else if ((expin.le.zero).and.(expout.le.zero)) then
mtype = 3
else
mtype = 4
end if
! Messages to screen.
if (myproc.eq.0) then
! Open logfile.
if (logfile) then
open(1,file=logf,form='formatted',
. status='old',position='append')
end if
! Surface information. Notice that here I define
! the surface "mass" as:
!
! M = sqrt( A / (16 pi) ) = 0.141047396 sqrt(A)
if (intarea_h.ne.zero) then
aux = one/intarea_h
else
aux = one
end if
write(*,*)
write(*,*) 'AHFinder: Surface found.'
write(*,*)
write(*,"(A21,ES14.6)") ' Surface area =',intarea_h
write(*,"(A21,ES14.6)") ' Surface mass =',
. 0.141047396D0*dsqrt(intarea_h)
write(*,"(A21,ES14.6)") ' Mean value of H =',aux*intexp_h
write(*,"(A21,ES14.6)") ' Mean value of H^2 =',aux*intexp2_h
write(*,"(A21,ES14.6)") ' Standard deviation =',
. dsqrt(aux*intexp2_h - (aux*intexp_h)**2)
write(*,*)
write(*,"(A11,ES14.6)") ' circ_eq =',circ_eq
write(*,"(A11,ES14.6)") ' meri_p1 =',meri_p1
write(*,"(A11,ES14.6)") ' meri_p2 =',meri_p2
write(*,*)
if (.false.) then
if (logfile) then
write(1,*)
write(1,*) 'AHFinder: Surface found.'
write(1,*)
write(1,"(A21,ES14.6)") ' Surface area =',intarea_h
write(1,"(A21,ES14.6)") ' Surface mass =',
. 0.141047396D0*dsqrt(intarea_h)
write(1,"(A21,ES14.6)") ' Mean value of H =',aux*intexp_h
write(1,"(A21,ES14.6)") ' Mean value of H^2 =',aux*intexp2_h
write(1,"(A21,ES14.6)") ' Standard deviation =',
. dsqrt(aux*intexp2_h - (aux*intexp_h)**2)
write(1,*)
write(1,"(A11,ES14.6)") ' circ_eq =',circ_eq
write(1,"(A11,ES14.6)") ' meri_p1 =',meri_p1
write(1,"(A11,ES14.6)") ' meri_p2 =',meri_p2
write(1,*)
end if
end if
if (mtype.eq.1) then
if (horizon) then
write(*,*) 'The surface seems to be an outer horizon.'
if (logfile) then
write(1,*) 'The surface seems to be an outer horizon.'
end if
else
write(*,*) 'The surface is probably an outer horizon, but'
write(*,*) 'the mean of the square of the expansion is'
write(*,*) 'not small enough. Try a larger lmax, or a'
write(*,*) 'smaller grid size.'
if (logfile) then
write(1,*) 'The surface is probably an outer horizon, but'
write(1,*) 'the mean of the square of the expansion is'
write(1,*) 'not small enough. Try a larger lmax, or a'
write(1,*) 'smaller grid size.'
end if
end if
else if (mtype.eq.2) then
if (horizon) then
write(*,*) 'The surface seems to be an inner horizon.'
if (logfile) then
write(1,*) 'The surface seems to be an inner horizon.'
end if
else
write(*,*) 'The surface is probably an inner horizon, but'
write(*,*) 'the mean of the square of the expansion is'
write(*,*) 'not small enough. Try a larger lmax, or a'
write(*,*) 'smaller grid size.'
if (logfile) then
write(1,*) 'The surface is probably an inner horizon, but'
write(1,*) 'the mean of the square of the expansion is'
write(1,*) 'not small enough. Try a larger lmax, or a'
write(1,*) 'smaller grid size.'
end if
end if
else if (mtype.eq.3)then
if (horizon) then
write(*,*) 'The surface seems to be a marginal horizon'
write(*,*) '(the integral of the expansion is negative'
write(*,*) 'on both sides.)'
if (logfile) then
write(1,*) 'The surface seems to be a marginal horizon'
write(1,*) '(the integral of the expansion is negative'
write(1,*) 'on both sides.)'
end if
else
write(*,*) 'The surface seems to be a trapped surface.'
if (logfile) then
write(1,*) 'The surface seems to be a trapped surface.'
end if
end if
else if (mtype.eq.4)then
if (horizon) then
write(*,*) 'The surface seems to be a marginal horizon'
write(*,*) '(the integral of the expansion is positive'
write(*,*) 'on both sides.)'
if (logfile) then
write(1,*) 'The surface seems to be a marginal horizon'
write(1,*) '(the integral of the expansion is positive'
write(1,*) 'on both sides.)'
end if
else
write(*,*) 'The surface does not seem to be a horizon.'
if (logfile) then
write(1,*) 'The surface does not seem to be a horizon.'
end if
end if
end if
! Shape.
if (verbose) then
write(*,*)
write(*,*) 'Shape coefficients:'
if (offset) then
write(*,*)
write(*,"(A6,ES14.6)") ' xc =',xc
write(*,"(A6,ES14.6)") ' yc =',yc
write(*,"(A6,ES14.6)") ' zc =',zc
end if
write(*,*)
write(*,"(A4,I2,A3,ES14.6)") ' c0(',0,') =',c0(0)
do l=1+stepz,lmax,1+stepz
write(*,"(A4,I2,A3,ES14.6)") ' c0(',l,') =',c0(l)
end do
end if
if (logfile) then
write(1,*)
write(1,*) 'Shape coefficients:'
if (offset) then
write(1,*)
write(1,"(A6,ES14.6)") ' xc =',xc
write(1,"(A6,ES14.6)") ' yc =',yc
write(1,"(A6,ES14.6)") ' zc =',zc
end if
write(1,*)
write(1,"(A4,I2,A3,ES14.6)") ' c0(',0,') =',c0(0)
do l=1+stepz,lmax,1+stepz
write(1,"(A4,I2,A3,ES14.6)") ' c0(',l,') =',c0(l)
end do
end if
if (nonaxi) then
if (.not.refy) then
if (verbose) then
write(*,*)
do l=1,lmax
do m=1,l
if (stepz*mod(l-m,2).eq.0) then
write(*,"(A4,I2,A1,I2,A4,ES14.6)") ' cc(',
. l,',',m,') =',cc(l,m)
end if
end do
end do
write(*,*)
do l=1,lmax
do m=1,l
if (stepz*mod(l-m,2).eq.0) then
write(*,"(A4,I2,A1,I2,A4,ES14.6)") ' cs(',
. l,',',m,') =',cs(l,m)
end if
end do
end do
end if
if (logfile) then
write(1,*)
do l=1,lmax
do m=1,l
if (stepz*mod(l-m,2).eq.0) then
write(1,"(A4,I2,A1,I2,A4,ES14.6)") ' cc(',
. l,',',m,') =',cc(l,m)
end if
end do
end do
write(1,*)
do l=1,lmax
do m=1,l
if (stepz*mod(l-m,2).eq.0) then
write(1,"(A4,I2,A1,I2,A4,ES14.6)") ' cs(',
. l,',',m,') =',cs(l,m)
end if
end do
end do
end if
10 format(I4,I4,A2,ES14.6,A1,ES14.6)
else
if (verbose) then
write(*,*)
do l=1,lmax
do m=1,l
if (stepz*mod(l-m,2).eq.0) then
write(*,"(A4,I2,A1,I2,A4,ES14.6)") ' cc(',
. l,',',m,') =',cc(l,m)
end if
end do
end do
end if
if (logfile) then
write(1,*)
do l=1,lmax
do m=1,l
if (stepz*mod(l-m,2).eq.0) then
write(1,"(A4,I2,A1,I2,A4,ES14.6)") ' cc(',
. l,',',m,') =',cc(l,m)
end if
end do
end do
end if
20 format(I4,I4,A2,ES14.6)
end if
end if
! Close logfile
write(*,*)
if (logfile) then
write(1,*)
write(1,*) 'END OF LOG FILE'
write(1,*)
close(1)
end if
end if
! No surface found.
else
if (myproc.eq.0) then
! Open logfile.
if (logfile) then
open(1,file=logf,form='formatted',
. status='old',position='append')
end if
! Write messages.
write(*,*)
write(*,*) 'AHFinder: No horizon found.'
write(*,*)
if (.false.) then
if (logfile) then
write(1,*)
write(1,*) 'AHFinder: No horizon found.'
write(1,*)
end if
! Close logfile
write(*,*)
if (logfile) then
write(1,*)
write(1,*) 'END OF LOG FILE'
write(1,*)
close(1)
end if
endif
end if
end if
! ****************************
! *** WRITE DATA FILES ***
! ****************************
if (.false.) then
if (myproc.eq.0) then
c Expansion coefficients.
if (ahf_ncall.eq.1) then
open(1,file=almf,form='formatted',
. status='replace')
write(1,"(A21)") '# Radial coefficients'
write(1,"(A1)") '#'
write(1,"(A11,I4)") '# Time step',cctk_iteration
write(1,"(A6,ES14.6)") '# Time',cctk_time
write(1,"(A6,I4)") '# Call',ahf_ncall
else
open(1,file=almf,form='formatted',
. status='old',position='append')
write(1,*)
write(1,"(A11,I4)") '# Time step',cctk_iteration
write(1,"(A6,ES14.6)") '# Time',cctk_time
write(1,"(A6,I4)") '# Call',ahf_ncall
end if
if (status) then
if (mtype.eq.1) then
if (horizon) then
write(1,"(A30,I4)") '# Surface found: Outer horizon'
else
write(1,"(A31,I4)") '# Surface found: Outer horizon?'
end if
else if (mtype.eq.2) then
if (horizon) then
write(1,"(A30,I4)") '# Surface found: Inner horizon'
else
write(1,"(A31,I4)") '# Surface found: Inner horizon?'
end if
else if (mtype.eq.3) then
if (horizon) then
write(1,"(A34,I4)") '# Surface found: Marginal horizon?'
else
write(1,"(A32,I4)") '# Surface found: Trapped surface'
end if
else if (mtype.eq.4) then
if (horizon) then
write(1,"(A34,I4)") '# Surface found: Marginal horizon?'
else
write(1,"(A30,I4)") '# Surface found: Not a horizon'
end if
end if
else
write(1,"(A18,I4)") '# No surface found'
end if
if (status) then
write(1,"(A7,ES14.6)") '# xc =',xc
write(1,"(A7,ES14.6)") '# yc =',yc
write(1,"(A7,ES14.6)") '# zc =',zc
write(1,"(A1)") '#'
write(1,"(A22)") '# a_lm l m'
write(1,"(A1)") '#'
write(1,"(ES14.6,2I4)") c0(0),0,0
do l=1,lmax
do m=l,1,-1
write(1,"(ES14.6,2I4)") cs(l,m),l,-m
end do
write(1,"(ES14.6,2I4)") c0(l),l,0
do m=1,l
write(1,"(ES14.6,2I4)") cc(l,m),l,m
end do
end do
end if
close(1)
! Area.
if (ahf_ncall.eq.1) then
open(1,file=areaf,form='formatted',
. status='replace')
write(1,"(A14)") '" Horizon area'
else
open(1,file=areaf,form='formatted',
. status='old',position='append')
end if
if (status) write(1,"(2ES14.6)") cctk_time,intarea_h
close(1)
! Mass.
if (ahf_ncall.eq.1) then
open(1,file=massf,form='formatted',
. status='replace')
write(1,"(A14)") '" Horizon mass'
else
open(1,file=massf,form='formatted',
. status='old',position='append')
end if
if (status) write(1,"(2ES14.6)") cctk_time,0.141047396D0*dsqrt(intarea_h)
close(1)
! Circumferences.
if (ahf_ncall.eq.1) then
open(1,file=circeqf,form='formatted',
. status='replace')
write(1,"(A26)") '" Equatorial circumference'
else
open(1,file=circeqf,form='formatted',
. status='old',position='append')
end if
if (status) write(1,"(2ES14.6)") cctk_time,circ_eq
close(1)
if (ahf_ncall.eq.1) then
open(1,file=merip1f,form='formatted',
. status='replace')
write(1,"(A28)") '" Length of meridian, phi=0'
else
open(1,file=merip1f,form='formatted',
. status='old',position='append')
end if
if (status) write(1,"(2ES14.6)") cctk_time,meri_p1
close(1)
if (ahf_ncall.eq.1) then
open(1,file=merip2f,form='formatted',
. status='replace')
write(1,"(A31)") '" Length of meridian, phi=pi/2'
else
open(1,file=merip2f,form='formatted',
. status='old',position='append')
end if
if (status) write(1,"(2ES14.6)") cctk_time,meri_p2
close(1)
end if
! modified
endif
! end modified
! ********************************************************
! *** PREPARING {ahfgrid3,ahf_exp3} FOR OUTPUT ***
! ********************************************************
if (find3) then
call AHFinder_find3(CCTK_FARGUMENTS,mtype)
end if
! *********************************
! *** OUTPUT GRID FUNCTIONS ***
! *********************************
if (ahf_2Doutput.ne.0) then
if (find3) then
if (mfind.eq.2) then
call CCTK_OutputVarAsByMethod(ierror,cctkGH,
. "ahfinder::ahfgrid3","IOFlexIO_2D","ahfgrid")
call CCTK_OutputVarAsByMethod(ierror,cctkGH,
. "ahfinder::ahf_exp3","IOFlexIO_2D","ahf_exp")
! call AHFinder_2dio(ahfgrid3,ahf_ncall)
! call AHFinder_2dio(ahf_exp3,ahf_ncall)
!
! call io_write2d(ahfgrid3)
! call io_write2d(ahf_exp3)
!
! call AHFinder_2dio(ahfgrid3,0)
! call AHFinder_2dio(ahf_exp3,0)
end if
else
call CCTK_OutputVarAsByMethod(ierror,cctkGH,
. "ahfinder::ahfgrid","IOFlexIO_2D","ahfgrid")
call CCTK_OutputVarAsByMethod(ierror,cctkGH,
. "ahfinder::ahf_exp","IOFlexIO_2D","ahf_exp")
! call AHFinder_2dio(ahfgrid,ahf_ncall)
! call AHFinder_2dio(ahf_exp,ahf_ncall)
!
! call io_write2d(ahfgrid)
! call io_write2d(ahf_exp)
!
! call AHFinder_2dio(ahfgrid,0)
! call AHFinder_2dio(ahf_exp,0)
end if
end if
if (ahf_3Doutput.ne.0) then
! This is commented out because I still need
! to write the c routine "AHFinder_3dio".
! call AHFinder_2dio(ahfgrid,ahf_ncall)
! call AHFinder_2dio(ahf_exp,ahf_ncall)
! call io_write2d(ahfgrid)
! call io_write2d(ahf_exp)
! call AHFinder_2dio(ahfgrid,0)
! call AHFinder_2dio(ahf_exp,0)
end if
! ****************
! *** MASK ***
! ****************
! if (horizon.and.CONTAINS("ahf_mask","yes")) then
if (horizon.and.(ahf_mask.ne.0)) then
call AHFinder_mask(CCTK_FARGUMENTS)
! else if ((mtype.eq.1).and.CONTAINS("ahf_weakmask","yes")) then
else if ((mtype.eq.1).and.(ahf_weakmask.ne.0)) then
call AHFinder_mask(CCTK_FARGUMENTS)
else
ahmask = one
end if
! call synconefunc(ahmask)
call CCTK_SyncGroup(cctkGH,"ahfinder::ahfmask")
! **************************************************
! *** TRANSFORM PHYSICAL TO CONFORMAL METRIC ***
! **************************************************
! call PhysToConf(nx,ny,nz,psi,gxx,gxy,gxz,gyy,gyz,gzz)
call CCTK_WARN(4,"Converting metric: physical -> conformal")
gxx=gxx/psi**4
gxy=gxy/psi**4
gxz=gxz/psi**4
gyy=gyy/psi**4
gyz=gyz/psi**4
gzz=gzz/psi**4
conformal_state = CONFORMAL_METRIC
! **********************************************
! *** UPDATING COUNTER AND LOOP IF FIND3 ***
! **********************************************
if (find3) then
if (mfind.eq.2) then
mfind = 0
else
mfind = mfind + 1
goto 1
end if
end if
! ***************
! *** END ***
! ***************
end subroutine AHFinder
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