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! Initialisation of the level set function and various other things.
! $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
subroutine EHFinder_Init_F(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, l, status
CCTK_REAL, dimension(3) :: xp, xpt
CCTK_REAL, dimension(3,3) :: txyz
CCTK_REAL :: cosa, sina, cosb, sinb, cosc, sinc
CCTK_REAL :: last_time
CCTK_REAL :: theta, dtheta, thetamin, thetamax, r_el
CCTK_REAL :: phi, dphi, phimin, phimax
CCTK_REAL :: costh, sinth, cosph, sinph
CCTK_INT, dimension(1) :: lsh, lbnd
CCTK_INT, dimension(2) :: lsh2, lbnd2
! Get the size of the local grid.
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
! Initialize the last_time varible. Note the parameters should be
! chosen to be consistent with the run producing the numerical data.
! F.ex. if dt was 0.1 but the data was only stored every 4 iterations, the
! parameters should be chosen so that dt now is 0.4.
last_time = abs(cctk_delta_time) * ( last_iteration_number + &
cheat_iterations ) / saved_iteration_every
if ( cheat == 1 ) then
last_time = abs(cctk_delta_time) * ( last_iteration_number + &
cheat_iterations ) / saved_iteration_every
cctk_iteration = -cheat_iterations
else
last_time = abs(cctk_delta_time) * last_iteration_number &
/ saved_iteration_every
end if
cctk_time = last_time
! Allocate the logical array containing the flag determining if the
! corresponding level set should be re-initialized.
if ( allocated(re_init_this_level_set) ) then
deallocate ( re_init_this_level_set )
end if
allocate ( re_init_this_level_set(eh_number_level_sets) )
if ( allocated(re_initialize_undone) ) then
deallocate ( re_initialize_undone )
end if
allocate ( re_initialize_undone(eh_number_level_sets) )
if ( evolve_generators .gt. 0 ) then
if ( CCTK_EQUALS( domain, 'full' ) ) then
thetamin = zero; thetamax = pi
phimin = zero; phimax = 2*pi
else if ( CCTK_EQUALS( domain, 'bitant') ) then
if ( CCTK_EQUALS( bitant_plane, 'xy' ) ) then
thetamin = zero; thetamax = half * pi
phimin = zero; phimax = 2*pi
else if ( CCTK_EQUALS( bitant_plane, 'xz' ) ) then
thetamin = zero; thetamax = pi
phimin = zero; phimax = pi
else
thetamin = zero; thetamax = pi
phimin = -half * pi; phimax = half * pi
end if
else if ( CCTK_EQUALS( domain, 'quadrant' ) ) then
if ( CCTK_EQUALS( quadrant_direction, 'x' ) ) then
thetamin = zero; thetamax = half * pi
phimin = zero; phimax = pi
else if ( CCTK_EQUALS( quadrant_direction, 'y' ) ) then
thetamin = zero; thetamax = half * pi
phimin = -half * pi; phimax = half * pi
else
thetamin = zero; thetamax = pi
phimin = zero; phimax = half * pi
end if
else if ( CCTK_EQUALS( domain, 'octant' ) ) then
thetamin = zero; thetamax = half * pi
phimin = zero; phimax = half * pi
end if
if ( CCTK_EQUALS( generator_distribution, 'line' ) ) then
call CCTK_GrouplbndGN ( status, cctkGH, 1, lbnd, 'ehfinder::xg' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'cannot get lower bounds for generator arrays' )
end if
call CCTK_GrouplshGN ( status, cctkGH, 1, lsh, 'ehfinder::xg' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'cannot get local size for generator arrays' )
end if
if ( number_of_generators .eq. 1 ) then
theta = half * ( thetamax - thetamin ) + thetamin
else
dtheta = ( thetamax - thetamin ) / ( number_of_generators - 1 )
end if
else if ( CCTK_EQUALS( generator_distribution, '2D array' ) ) then
call CCTK_GrouplbndGN ( status, cctkGH, 2, lbnd2, 'ehfinder::xg2' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'cannot get lower bounds for generator arrays' )
end if
call CCTK_GrouplshGN ( status, cctkGH, 2, lsh2, 'ehfinder::xg2' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'cannot get local size for generator arrays' )
end if
if ( number_of_generators_theta .eq. 1 ) then
theta = half * ( thetamax - thetamin ) + thetamin
else
dtheta = ( thetamax - thetamin ) / ( number_of_generators_theta )
end if
if ( number_of_generators_phi .eq. 1 ) then
phi = half * ( phimax - phimin ) + phimin
else
dphi = ( phimax - phimin ) / ( number_of_generators_phi )
end if
end if
end if
do l = 1, eh_number_level_sets
! If a sphere is requested...
if ( CCTK_EQUALS( initial_f(l), 'sphere' ) ) then
! Set up a sphere of radius initial_rad and translated
! (translate_x,translate_y,translate_z) away from the origin.
f(:,:,:,l) = sqrt( ( x - translate_x(l) )**2 + &
( y - translate_y(l) )**2 + &
( z - translate_z(l) )**2 ) - initial_rad(l)
if ( evolve_generators .gt. 0 ) then
if ( CCTK_EQUALS( generator_distribution, 'line' ) ) then
do i = 1, lsh(1)
theta = thetamin + dtheta * ( i + lbnd(1) - 1 ) + half * dtheta
xg(i,l) = initial_rad(l) * sin(theta) + translate_x(l)
yg(i,l) = translate_y(l)
zg(i,l) = initial_rad(l) * cos(theta) + translate_z(l)
end do
else if ( CCTK_EQUALS( generator_distribution, '2D array' ) ) then
do j = 1, lsh2(2)
phi = phimin + dphi * ( j + lbnd2(2) - 1 ) + half * dphi
cosph = cos(phi); sinph = sin(phi)
do i = 1, lsh2(1)
theta = thetamin + dtheta * ( i + lbnd2(1) - 1 )
costh = cos(theta); sinth = sin(theta)
xg2(i,j,l) = initial_rad(l) * sinth * cosph + translate_x(l)
yg2(i,j,l) = initial_rad(l) * sinth * sinph + translate_x(l)
zg2(i,j,l) = initial_rad(l) * costh + translate_z(l)
end do
end do
end if
end if
end if
! If an ellipsoid is requested...
if ( CCTK_EQUALS( initial_f(l), 'ellipsoid' ) ) then
! Calculate sines and cosines of the rotation parameters.
cosa = cos(rotation_alpha(l))
sina = sin(rotation_alpha(l))
cosb = cos(rotation_beta(l))
sinb = sin(rotation_beta(l))
cosc = cos(rotation_gamma(l))
sinc = sin(rotation_gamma(l))
! Set up the rotation matrix. The order is alpha around the z-axis,
! beta around the y-axis and finally gamma around the x-axis.
txyz(1,1) = cosa * cosb
txyz(1,2) = sina * cosb
txyz(1,3) = -sinb
txyz(2,1) = cosa * sinb * sinc - sina * cosc
txyz(2,2) = sina * sinb * sinc + cosa * cosc
txyz(2,3) = cosb * sinc
txyz(3,1) = cosa * sinb * cosc + sina * sinc
txyz(3,2) = sina * sinb * cosc - cosa * sinc
txyz(3,3) = cosb * cosc
! Apply the rotations and translation for all points on the grid.
! Even though at first glance it looks like the translation is done
! first, the opposite is actually true.
do k = 1, nz
do j = 1, ny
do i = 1, nx
xp(1) = x(i,j,k) - translate_x(l)
xp(2) = y(i,j,k) - translate_y(l)
xp(3) = z(i,j,k) - translate_z(l)
xpt = matmul ( txyz, xp )
f(i,j,k,l) = sqrt( xpt(1)**2 / initial_a(l)**2 + &
xpt(2)**2 / initial_b(l)**2 + &
xpt(3)**2 / initial_c(l)**2) - 1.0
end do
end do
end do
if ( evolve_generators .gt. 0 ) then
if ( CCTK_EQUALS( generator_distribution, 'line' ) ) then
do i = 1, lsh(1)
theta = thetamin + dtheta * ( i + lbnd(1) - 1 )
costh = cos(theta); sinth = sin(theta)
r_el = sqrt ( one / ( sinth**2 / initial_a(l)**2 + &
costh**2 / initial_c(l)**2 ) )
xp(1) = r_el * sinth + translate_x(l)
xp(2) = translate_y(l)
xp(3) = r_el * costh + translate_z(l)
xpt = matmul ( txyz, xp )
xg(i,l) = xpt(1)
yg(i,l) = xpt(2)
zg(i,l) = xpt(3)
end do
else if ( CCTK_EQUALS( generator_distribution, '2D array' ) ) then
do j = 1, lsh2(2)
phi = phimin + dphi * ( j + lbnd2(2) - 1 ) + half * dphi
cosph = cos(phi); sinph = sin(phi)
do i = 1, lsh2(1)
theta = thetamin + dtheta * ( i + lbnd2(1) - 1 ) + half * dtheta
costh = cos(theta); sinth = sin(theta)
r_el = sqrt ( one / &
( sinth**2*cosph**2 / initial_a(l)**2 + &
sinth**2*sinph**2 / initial_b(l)**2 + &
costh**2 / initial_c(l)**2 ) )
xp(1) = r_el * sinth * cosph + translate_x(l)
xp(2) = r_el * sinth * sinph + translate_y(l)
xp(3) = r_el * costh + translate_z(l)
xpt = matmul ( txyz, xp )
xg2(i,j,l) = xpt(1)
yg2(i,j,l) = xpt(2)
zg2(i,j,l) = xpt(3)
end do
end do
! print*,xg2
! print*
! print*,yg2
! print*
! print*,zg2
! stop
end if
end if
end if
! if an ovaloid of Cassini is requested...
if ( CCTK_EQUALS( initial_f(l), 'cassini' ) ) then
f(:,:,:,l) = (x**2+y**2+z**2)**2 + cas_a(l)**4 - &
2*cas_a(l)**2*(x**2 - (y**2+z**2)) - cas_b(l)**4
end if
end do
! Initialise the internal mask.
eh_mask = 0
return
end subroutine EHFinder_Init_F
subroutine EHFinder_Init(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
! Find the maximal grid spacing.
delta = max ( CCTK_DELTA_SPACE(1), CCTK_DELTA_SPACE(2), CCTK_DELTA_SPACE(3) )
! Set up the value used in interiour inactive cells.
ex_value = - ( one + shell_width ) * delta
! Get handles for various reduction operations.
call CCTK_ReductionArrayHandle ( max_handle, 'maximum' )
if ( max_handle .lt. 0 ) then
call CCTK_WARN(0,'Could not obtain a handle for maximum reduction')
end if
call CCTK_ReductionArrayHandle ( min_handle, 'minimum' )
if ( min_handle .lt. 0 ) then
call CCTK_WARN(0,'Could not obtain a handle for minimum reduction')
end if
call CCTK_ReductionArrayHandle ( sum_handle, 'sum' )
if ( sum_handle .lt. 0 ) then
call CCTK_WARN(0,'Could not obtain a handle for sum reduction')
end if
end subroutine EHFinder_Init
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