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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"
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, 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
CCTK_INT, dimension(1) :: lsh, lbnd
! Initialize the current_iteration variable.
current_iteration = last_iteration_number
! 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 / &
saved_iteration_every
cctk_time = last_time
! If a sphere is requested...
if ( CCTK_EQUALS( initial_f, 'sphere' ) ) then
! Set up a sphere of radius initial_rad and translated
! (translate_x,translate_y,translate_z) away from the origin.
f = sqrt( ( x - translate_x )**2 + &
( y - translate_y )**2 + &
( z - translate_z )**2 ) - initial_rad
if ( evolve_generators .gt. 0 ) then
call CCTK_GrouplbndGN ( status, cctkGH, 1, lbnd, "ehfinder::generators" )
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::generators" )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for generator arrays" )
end if
if ( CCTK_EQUALS( generator_distribution, 'line' ) ) then
if ( CCTK_EQUALS( domain, 'full' ) ) then
thetamin = zero; thetamax = pi
else if ( CCTK_EQUALS( domain, 'bitant') ) then
if ( CCTK_EQUALS( bitant_plane, 'xy' ) ) then
thetamin = zero; thetamax = half * pi
else
thetamin = zero; thetamax = pi
end if
else if ( CCTK_EQUALS( domain, 'quadrant' ) ) then
if ( CCTK_EQUALS( quadrant_direction, 'x' ) .or. &
CCTK_EQUALS( quadrant_direction, 'y' ) ) then
thetamin = zero; thetamax = half * pi
else
thetamin = zero; thetamax = pi
end if
else if ( CCTK_EQUALS( domain, 'octant' ) ) then
thetamin = zero; thetamax = half * pi
end if
if ( number_of_generators .eq. 1 ) then
theta = half * ( thetamax - thetamin ) + thetamin
else
dtheta = ( thetamax - thetamin ) / ( number_of_generators - 1 )
end if
do i = 1, lsh(1)
theta = thetamin + dtheta * ( i + lbnd(1) - 1 )
xg(i) = initial_rad * sin(theta) + translate_x
yg(i) = translate_y
zg(i) = initial_rad * cos(theta) + translate_z
end do
end if
end if
end if
! If an ellipsoid is requested...
if ( CCTK_EQUALS( initial_f, 'ellipsoid' ) ) then
! Calculate sines and cosines of the rotation parameters.
cosa = cos(rotation_alpha)
sina = sin(rotation_alpha)
cosb = cos(rotation_beta)
sinb = sin(rotation_beta)
cosc = cos(rotation_gamma)
sinc = sin(rotation_gamma)
! 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
! print*,txyz
! 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
xp(2) = y(i,j,k) - translate_y
xp(3) = z(i,j,k) - translate_z
xpt = matmul ( txyz, xp )
f(i,j,k) = sqrt( xpt(1)**2 / initial_a**2 + &
xpt(2)**2 / initial_b**2 + &
xpt(3)**2 / initial_c**2) - 1.0
end do
end do
end do
end if
! if an ovaloid of Cassini is requested...
if ( CCTK_EQUALS( initial_f, 'cassini' ) ) then
f = (x**2+y**2+z**2)**2 + cas_a**4 - &
2*cas_a**2*(x**2 - (y**2+z**2)) - cas_b**4
end if
! 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
! Set up the value used in interiour inactive cells.
ex_value = - ( one + shell_width ) * maxval(cctk_delta_space)
! Initialize nx, ny and nz based on the local gris size. They are defined
! in the module EHFinder_mod and will therefore be known from now on by all
! routine that uses this module.
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
! Find the maximal grid spacing.
delta = maxval ( cctk_delta_space )
! Initialise the ghostzone information. These variables are defined in
! the module EHFinder_mod.
ngx = cctk_nghostzones(1)
ngy = cctk_nghostzones(2)
ngz = cctk_nghostzones(3)
! 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
! ! Register a coodinatsystem for the 2D surface grid arrays. This has no
! ! effect yet, but should do something useful, when TAGS can be used to
! ! assign coordinates to grid arrays.
! call CCTK_CoordRegisterSystem ( ierr, 2, 'cart2d' )
! if ( ierr .lt. 0 ) then
! call CCTK_WARN(1,'Could not register a 2D coordinate system as "cart2d"')
! end if
! call CCTK_CoordRegisterData ( ierr, 1, 'ehfinder::ctheta', &
! 'x', 'cart2d' )
! if ( ierr .lt. 0 ) then
! call CCTK_WARN(1,'Could not register ctheta as the 1st coordinate for "cart2d"')
! end if
! call CCTK_CoordRegisterData ( ierr, 2, 'ehfinder::cphi', &
! 'y', 'cart2d' )
! if ( ierr .lt. 0 ) then
! call CCTK_WARN(1,'Could not register cphi as the 2nd coordinate for "cart2d"')
! end if
!
! call CCTK_INFO('2d coordinate system registered')
end subroutine EHFinder_Init
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