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! $Header$
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine NoExcision_OverwriteBSSN (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, scale
integer :: timelevels
integer :: n
integer, parameter :: sm_linear = 1
integer, parameter :: sm_spline = 2
integer :: sm_type
do n = 1, num_regions
if (cctk_iteration == iteration(n)) then
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
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
scale = Minkowski_scale(n)
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)
ADM_BS_phi = smooth (ADM_BS_phi, zero , dist2)
ADM_BS_gxx = smooth (ADM_BS_gxx, scale, dist2)
ADM_BS_gxy = smooth (ADM_BS_gxy, zero , dist2)
ADM_BS_gxz = smooth (ADM_BS_gxz, zero , dist2)
ADM_BS_gyy = smooth (ADM_BS_gyy, scale, dist2)
ADM_BS_gyz = smooth (ADM_BS_gyz, zero , dist2)
ADM_BS_gzz = smooth (ADM_BS_gzz, scale, dist2)
ADM_BS_Gx = smooth (ADM_BS_Gx , zero , dist2)
ADM_BS_Gy = smooth (ADM_BS_Gy , zero , dist2)
ADM_BS_Gz = smooth (ADM_BS_Gz , zero , dist2)
ADM_BS_K = smooth (ADM_BS_K , zero , dist2)
ADM_BS_Axx = smooth (ADM_BS_Axx, zero , dist2)
ADM_BS_Axy = smooth (ADM_BS_Axy, zero , dist2)
ADM_BS_Axz = smooth (ADM_BS_Axz, zero , dist2)
ADM_BS_Ayy = smooth (ADM_BS_Ayy, zero , dist2)
ADM_BS_Ayz = smooth (ADM_BS_Ayz, zero , dist2)
ADM_BS_Azz = smooth (ADM_BS_Azz, zero , dist2)
end where
call CCTK_ActiveTimeLevelsVN &
(timelevels, cctkGH, "ADM_BSSN::ADM_BS_phi")
if (timelevels > 1) then
where (dist2 <= 1)
ADM_BS_phi_p = smooth (ADM_BS_phi_p, zero , dist2)
ADM_BS_gxx_p = smooth (ADM_BS_gxx_p, scale, dist2)
ADM_BS_gxy_p = smooth (ADM_BS_gxy_p, zero , dist2)
ADM_BS_gxz_p = smooth (ADM_BS_gxz_p, zero , dist2)
ADM_BS_gyy_p = smooth (ADM_BS_gyy_p, scale, dist2)
ADM_BS_gyz_p = smooth (ADM_BS_gyz_p, zero , dist2)
ADM_BS_gzz_p = smooth (ADM_BS_gzz_p, scale, dist2)
ADM_BS_Gx_p = smooth (ADM_BS_Gx_p , zero , dist2)
ADM_BS_Gy_p = smooth (ADM_BS_Gy_p , zero , dist2)
ADM_BS_Gz_p = smooth (ADM_BS_Gz_p , zero , dist2)
ADM_BS_K_p = smooth (ADM_BS_K_p , zero , dist2)
ADM_BS_Axx_p = smooth (ADM_BS_Axx_p, zero , dist2)
ADM_BS_Axy_p = smooth (ADM_BS_Axy_p, zero , dist2)
ADM_BS_Axz_p = smooth (ADM_BS_Axz_p, zero , dist2)
ADM_BS_Ayy_p = smooth (ADM_BS_Ayy_p, zero , dist2)
ADM_BS_Ayz_p = smooth (ADM_BS_Ayz_p, zero , dist2)
ADM_BS_Azz_p = smooth (ADM_BS_Azz_p, zero , dist2)
end where
end if
if (timelevels > 2) then
where (dist2 <= 1)
ADM_BS_phi_p_p = smooth (ADM_BS_phi_p_p, zero , dist2)
ADM_BS_gxx_p_p = smooth (ADM_BS_gxx_p_p, scale, dist2)
ADM_BS_gxy_p_p = smooth (ADM_BS_gxy_p_p, zero , dist2)
ADM_BS_gxz_p_p = smooth (ADM_BS_gxz_p_p, zero , dist2)
ADM_BS_gyy_p_p = smooth (ADM_BS_gyy_p_p, scale, dist2)
ADM_BS_gyz_p_p = smooth (ADM_BS_gyz_p_p, zero , dist2)
ADM_BS_gzz_p_p = smooth (ADM_BS_gzz_p_p, scale, dist2)
ADM_BS_Gx_p_p = smooth (ADM_BS_Gx_p_p , zero , dist2)
ADM_BS_Gy_p_p = smooth (ADM_BS_Gy_p_p , zero , dist2)
ADM_BS_Gz_p_p = smooth (ADM_BS_Gz_p_p , zero , dist2)
ADM_BS_K_p_p = smooth (ADM_BS_K_p_p , zero , dist2)
ADM_BS_Axx_p_p = smooth (ADM_BS_Axx_p_p, zero , dist2)
ADM_BS_Axy_p_p = smooth (ADM_BS_Axy_p_p, zero , dist2)
ADM_BS_Axz_p_p = smooth (ADM_BS_Axz_p_p, zero , dist2)
ADM_BS_Ayy_p_p = smooth (ADM_BS_Ayy_p_p, zero , dist2)
ADM_BS_Ayz_p_p = smooth (ADM_BS_Ayz_p_p, zero , dist2)
ADM_BS_Azz_p_p = smooth (ADM_BS_Azz_p_p, zero , dist2)
end where
end if
end if
if (overwrite_lapse(n) /= 0) then
scale = lapse_scale(n)
where (dist2 <= 1)
alp = smooth (alp , scale, dist2)
ADM_BS_dtalp = smooth (ADM_BS_dtalp, zero , dist2)
end where
call CCTK_ActiveTimeLevelsVN &
(timelevels, cctkGH, "ADMBase::alp")
if (timelevels > 1) then
where (dist2 <= 1)
alp_p = smooth (alp_p , scale, dist2)
ADM_BS_dtalp_p = smooth (ADM_BS_dtalp_p, zero , dist2)
end where
end if
if (timelevels > 2) then
where (dist2 <= 1)
alp_p_p = smooth (alp_p_p , scale, dist2)
ADM_BS_dtalp_p_p = smooth (ADM_BS_dtalp_p_p, zero , dist2)
end where
end if
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)
ADM_BS_Bx = smooth (ADM_BS_Bx, zero, dist2)
ADM_BS_By = smooth (ADM_BS_By, zero, dist2)
ADM_BS_Bz = smooth (ADM_BS_Bz, zero, dist2)
end where
call CCTK_ActiveTimeLevelsVN &
(timelevels, cctkGH, "ADMBase::betax")
if (timelevels > 1) then
where (dist2 <= 1)
betax_p = smooth (betax_p , zero, dist2)
betay_p = smooth (betay_p , zero, dist2)
betaz_p = smooth (betaz_p , zero, dist2)
ADM_BS_Bx_p = smooth (ADM_BS_Bx_p, zero, dist2)
ADM_BS_By_p = smooth (ADM_BS_By_p, zero, dist2)
ADM_BS_Bz_p = smooth (ADM_BS_Bz_p, zero, dist2)
end where
end if
if (timelevels > 2) then
where (dist2 <= 1)
betax_p_p = smooth (betax_p_p , zero, dist2)
betay_p_p = smooth (betay_p_p , zero, dist2)
betaz_p_p = smooth (betaz_p_p , zero, dist2)
ADM_BS_Bx_p_p = smooth (ADM_BS_Bx_p_p, zero, dist2)
ADM_BS_By_p_p = smooth (ADM_BS_By_p_p, zero, dist2)
ADM_BS_Bz_p_p = smooth (ADM_BS_Bz_p_p, zero, dist2)
end where
end if
end if
end if
end if
end do
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 :: two=2, half=1/two
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
end select
newval = oldval * f + goodval * (1 - f)
end if
end function smooth
end subroutine NoExcision_OverwriteBSSN
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