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! $Header$
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine NoExcision_Overwrite (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_REAL, parameter :: zero=0
CCTK_REAL :: dist2 (cctk_lsh(1), cctk_lsh(2), cctk_lsh(3))
CCTK_REAL :: cx, cy, cz, radx, rady, radz, width
integer :: n
integer, parameter :: sm_linear = 1
integer, parameter :: sm_spline = 2
integer, parameter :: sm_cosine = 3
integer :: sm_type
if (CCTK_EQUALS(method,"old")) then
do n = 1, num_regions
cx = centre_x(n)
cy = centre_y(n)
cz = centre_z(n)
if (CCTK_EQUALS(region_shape(n), "sphere")) then
radx = radius(n)
rady = radius(n)
radz = radius(n)
else if (CCTK_EQUALS(region_shape(n), "ellipsoid")) then
radx = radius_x(n)
rady = radius_y(n)
radz = radius_z(n)
else
call CCTK_WARN (0, "internal error")
end if
if (CCTK_EQUALS (smoothing_function(n), "linear")) then
sm_type = sm_linear
else if (CCTK_EQUALS (smoothing_function(n), "spline")) then
sm_type = sm_spline
else if (CCTK_EQUALS (smoothing_function(n), "cosine")) then
sm_type = sm_cosine
else
call CCTK_WARN (0, "internal error")
end if
width = smoothing_zone_width(n)
dist2 = ((x - cx) / radx)**2 + ((y - cy) / rady)**2 &
& + ((z - cz) / radz)**2
if (overwrite_geometry(n) /= 0) then
if (conformal_state >= 1) then
where (dist2 <= 1)
psi = 1
end where
end if
if (conformal_state >= 2) then
where (dist2 <= 1)
psix = 0
psiy = 0
psiz = 0
end where
end if
if (conformal_state >= 3) then
where (dist2 <= 1)
psixx = 0
psixy = 0
psixz = 0
psiyy = 0
psiyz = 0
psizz = 0
end where
end if
where (dist2 <= 1)
gxx = smooth (gxx, Minkowski_scale(n), dist2)
gxy = smooth (gxy, zero , dist2)
gxz = smooth (gxz, zero , dist2)
gyy = smooth (gyy, Minkowski_scale(n), dist2)
gyz = smooth (gyz, zero , dist2)
gzz = smooth (gzz, Minkowski_scale(n), dist2)
kxx = smooth (kxx, zero , dist2)
kxy = smooth (kxy, zero , dist2)
kxz = smooth (kxz, zero , dist2)
kyy = smooth (kyy, zero , dist2)
kyz = smooth (kyz, zero , dist2)
kzz = smooth (kzz, zero , dist2)
end where
end if
if (overwrite_lapse(n) /= 0) then
where (dist2 <= 1)
alp = smooth (alp, lapse_scale(n), dist2)
end where
end if
if (overwrite_shift(n) /= 0) then
if (shift_state /= 0) then
where (dist2 <= 1)
betax = smooth (betax, zero, dist2)
betay = smooth (betay, zero, dist2)
betaz = smooth (betaz, zero, dist2)
end where
end if
end if
end do
end if
contains
elemental function smooth (oldval, goodval, dist2) result (newval)
CCTK_REAL :: newval
CCTK_REAL, intent(in) :: oldval
CCTK_REAL, intent(in) :: goodval
CCTK_REAL, intent(in) :: dist2
CCTK_REAL, parameter :: zero=0, two=2, half=1/two
integer, parameter :: rk = kind(zero)
CCTK_REAL, parameter :: pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068_rk
CCTK_REAL :: dist
CCTK_REAL :: x, f
if (dist2 <= (1 - width)**2) then
newval = goodval
else if (width == 0 .or. dist2 >= 1) then
newval = oldval
else
dist = sqrt(dist2)
x = 1 - (1 - dist) / width
select case (sm_type)
case (sm_linear)
f = x
case (sm_spline)
if (x < half) then
f = 2 * x**2
else
f = 1 - 2 * (1-x)**2
end if
case (sm_cosine)
f = (1 - cos (pi * x)) / 2
end select
newval = oldval * f + goodval * (1 - f)
end if
end function smooth
end subroutine NoExcision_Overwrite
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