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! $Header$
#include "cctk.h"
module NoExcision_mod
implicit none
CCTK_REAL, parameter :: zero = 0.0
integer, parameter :: wp = kind(zero)
CCTK_REAL, parameter :: one = 1.0_wp
CCTK_REAL, parameter :: two = 2.0_wp
CCTK_INT :: infnorm_handle, sum_handle
CCTK_INT :: sym_selector
CCTK_INT :: loop_counter
CCTK_REAL, dimension(16) :: infnormresid
CCTK_REAL, dimension(16) :: delta_new, delta_old, alpha, beta, absres
character(len=18), dimension(16) :: red_names = (/ 'NoExcision::redgxx', &
'NoExcision::redgxy', &
'NoExcision::redgxz', &
'NoExcision::redgyy', &
'NoExcision::redgyz', &
'NoExcision::redgzz', &
'NoExcision::redkxx', &
'NoExcision::redkxy', &
'NoExcision::redkxz', &
'NoExcision::redkyy', &
'NoExcision::redkyz', &
'NoExcision::redkzz', &
'NoExcision::red ', &
'NoExcision::redx ', &
'NoExcision::redy ', &
'NoExcision::redz ' /)
character(len=5), dimension(16) :: var_names = (/ ' gxx', ' gxy', &
' gxz', ' gyy', &
' gyz', ' gzz', &
' kxx', ' kxy', &
' kxz', ' kyy', &
' kyz', ' kzz', &
' alp', 'betax', &
'betay', 'betaz' /)
integer :: nx, ny, nz
integer :: ii
logical, dimension(16) :: cont = (/ (.true., ii=1, 16) /)
contains
! This is the basic residual calculation routine...
subroutine residual (val, mask, res, si, order )
CCTK_REAL, dimension(:,:,:), intent(in) :: val
CCTK_INT, dimension(:,:,:), intent(in) :: mask
CCTK_REAL, dimension(:,:,:), intent(out) :: res
CCTK_REAL, intent(in) :: si
CCTK_INT, intent(in) :: order
CCTK_REAL, parameter :: six = 6.0_wp
CCTK_REAL, parameter :: sixth = 1.0_wp / six
CCTK_REAL, parameter :: four = 4.0_wp
CCTK_REAL, parameter :: eighteen = 18.0_wp
CCTK_REAL, parameter :: eighteenth = 1.0_wp / eighteen
CCTK_REAL, parameter :: fifteen = 15.0_wp
CCTK_REAL, parameter :: sixty = 60.0_wp
CCTK_REAL, parameter :: sixtieth = 1.0_wp / sixty
integer :: i, j, k
select case (order)
case (2)
do k = 2, nz-1
do j = 2, ny-1
do i = 2, nx-1
if (mask(i,j,k) > 0) then
res(i,j,k) = val(i+1,j,k) + val(i-1,j,k) + val(i,j+1,k) + &
val(i,j-1,k) + val(i,j,k+1) + val(i,j,k-1) - &
six * val(i,j,k)
res(i,j,k) = sign(one,si) * res(i,j,k)
end if
end do
end do
end do
case (4)
do k = 3, nz-2
do j = 3, ny-2
do i = 3, nx-2
if (mask(i,j,k) > 0) then
res(i,j,k) = - ( val(i+2,j,k) + val(i-2,j,k) + &
val(i,j+2,k) + val(i,j-2,k) + &
val(i,j,k+2) + val(i,j,k-2) ) + &
four * ( val(i+1,j,k) + val(i-1,j,k) + &
val(i,j+1,k) + val(i,j-1,k) + &
val(i,j,k+1) + val(i,j,k-1) ) - &
eighteen * val(i,j,k)
res(i,j,k) = sign(one,si) * res(i,j,k)
end if
end do
end do
end do
case (6)
do k = 4, nz-3
do j = 4, ny-3
do i = 4, nx-3
if (mask(i,j,k) > 0) then
res(i,j,k) = ( val(i+3,j,k) + val(i-3,j,k) + &
val(i,j+3,k) + val(i,j-3,k) + &
val(i,j,k+3) + val(i,j,k-3) ) - &
six * ( val(i+2,j,k) + val(i-2,j,k) + &
val(i,j+2,k) + val(i,j-2,k) + &
val(i,j,k+2) + val(i,j,k-2) ) + &
fifteen * ( val(i+1,j,k) + val(i-1,j,k) + &
val(i,j+1,k) + val(i,j-1,k) + &
val(i,j,k+1) + val(i,j,k-1) ) - &
sixty * val(i,j,k)
res(i,j,k) = sign(one,si) * res(i,j,k)
end if
end do
end do
end do
case default
call CCTK_WARN ( 0, 'Internal error: Order out of range' )
end select
end subroutine residual
! This is the routine calculating residuals for all variables, that
! have not yet converged.
subroutine residual_all ( v1, v2, v3, v4, v5, v6, v7, v8, &
v9, v10, v11, v12, v13, v14, v15, v16, &
r1, r2, r3, r4, r5, r6, r7, r8, &
r9, r10, r11, r12, r13, r14, r15, r16, &
mask, si, order )
CCTK_REAL, dimension(:,:,:), intent(in) :: v1, v2, v3, v4, v5, v6, &
v7, v8, v9, v10, v11, v12, &
v13, v14, v15, v16
CCTK_REAL, dimension(:,:,:), intent(out) :: r1, r2, r3, r4, r5, r6, &
r7, r8, r9, r10, r11, r12, &
r13, r14, r15, r16
CCTK_INT, dimension(:,:,:), intent(in) :: mask
CCTK_REAL, intent(in) :: si
CCTK_INT, intent(in) :: order
if ( cont(1) ) call residual ( v1, mask, r1, si, order )
if ( cont(2) ) call residual ( v2, mask, r2, si, order )
if ( cont(3) ) call residual ( v3, mask, r3, si, order )
if ( cont(4) ) call residual ( v4, mask, r4, si, order )
if ( cont(5) ) call residual ( v5, mask, r5, si, order )
if ( cont(6) ) call residual ( v6, mask, r6, si, order )
if ( cont(7) ) call residual ( v7, mask, r7, si, order )
if ( cont(8) ) call residual ( v8, mask, r8, si, order )
if ( cont(9) ) call residual ( v9, mask, r9, si, order )
if ( cont(10) ) call residual ( v10, mask, r10, si, order )
if ( cont(11) ) call residual ( v11, mask, r11, si, order )
if ( cont(12) ) call residual ( v12, mask, r12, si, order )
if ( cont(13) ) call residual ( v13, mask, r13, si, order )
if ( cont(14) ) call residual ( v14, mask, r14, si, order )
if ( cont(15) ) call residual ( v15, mask, r15, si, order )
if ( cont(16) ) call residual ( v16, mask, r16, si, order )
end subroutine residual_all
! This routine multiplies two variables. Only does it according
! to the mask and only for variables that have not converged yet.
subroutine multiply ( u1, u2, u3, u4, u5, u6, u7, u8, &
u9, u10, u11, u12, u13, u14, u15, u16, &
v1, v2, v3, v4, v5, v6, v7, v8, &
v9, v10, v11, v12, v13, v14, v15, v16, &
r1, r2, r3, r4, r5, r6, r7, r8, &
r9, r10, r11, r12, r13, r14, r15, r16, &
mask )
CCTK_REAL, dimension(:,:,:), intent(in) :: u1, u2, u3, u4, u5, u6, &
u7, u8, u9, u10, u11, u12, &
u13, u14, u15, u16
CCTK_REAL, dimension(:,:,:), intent(in) :: v1, v2, v3, v4, v5, v6, &
v7, v8, v9, v10, v11, v12, &
v13, v14, v15, v16
CCTK_REAL, dimension(:,:,:), intent(out) :: r1, r2, r3, r4, r5, r6, &
r7, r8, r9, r10, r11, r12, &
r13, r14, r15, r16
CCTK_INT, dimension(:,:,:), intent(in) :: mask
if ( cont(1) ) where ( mask > 0 ) r1 = u1*v1
if ( cont(2) ) where ( mask > 0 ) r2 = u2*v2
if ( cont(3) ) where ( mask > 0 ) r3 = u3*v3
if ( cont(4) ) where ( mask > 0 ) r4 = u4*v4
if ( cont(5) ) where ( mask > 0 ) r5 = u5*v5
if ( cont(6) ) where ( mask > 0 ) r6 = u6*v6
if ( cont(7) ) where ( mask > 0 ) r7 = u7*v7
if ( cont(8) ) where ( mask > 0 ) r8 = u8*v8
if ( cont(9) ) where ( mask > 0 ) r9 = u9*v9
if ( cont(10) ) where ( mask > 0 ) r10 = u10*v10
if ( cont(11) ) where ( mask > 0 ) r11 = u11*v11
if ( cont(12) ) where ( mask > 0 ) r12 = u12*v12
if ( cont(13) ) where ( mask > 0 ) r13 = u13*v13
if ( cont(14) ) where ( mask > 0 ) r14 = u14*v14
if ( cont(15) ) where ( mask > 0 ) r15 = u15*v15
if ( cont(16) ) where ( mask > 0 ) r16 = u16*v16
end subroutine multiply
! This routine takes the product of a scalar and a variable and
! adds it to the product of another scalar and variable. Does it
! according to the mask and only for variables that have not yet
! converged.
subroutine multiply_sum ( u1, u2, u3, u4, u5, u6, u7, u8, &
u9, u10, u11, u12, u13, u14, u15, u16, &
v1, v2, v3, v4, v5, v6, v7, v8, &
v9, v10, v11, v12, v13, v14, v15, v16, &
c1, c2, mask )
CCTK_REAL, dimension(:,:,:), intent(inout) :: u1, u2, u3, u4, u5, u6, &
u7, u8, u9, u10, u11, u12, &
u13, u14, u15, u16
CCTK_REAL, dimension(:,:,:), intent(in) :: v1, v2, v3, v4, v5, v6, &
v7, v8, v9, v10, v11, v12, &
v13, v14, v15, v16
CCTK_REAL, dimension(16), intent(in) :: c1, c2
CCTK_INT, dimension(:,:,:), intent(in) :: mask
if ( cont(1) ) where ( mask > 0 ) u1 = c1(1)*u1 + c2(1)*v1
if ( cont(2) ) where ( mask > 0 ) u2 = c1(2)*u2 + c2(2)*v2
if ( cont(3) ) where ( mask > 0 ) u3 = c1(3)*u3 + c2(3)*v3
if ( cont(4) ) where ( mask > 0 ) u4 = c1(4)*u4 + c2(4)*v4
if ( cont(5) ) where ( mask > 0 ) u5 = c1(5)*u5 + c2(5)*v5
if ( cont(6) ) where ( mask > 0 ) u6 = c1(6)*u6 + c2(6)*v6
if ( cont(7) ) where ( mask > 0 ) u7 = c1(7)*u7 + c2(7)*v7
if ( cont(8) ) where ( mask > 0 ) u8 = c1(8)*u8 + c2(8)*v8
if ( cont(9) ) where ( mask > 0 ) u9 = c1(9)*u9 + c2(9)*v9
if ( cont(10) ) where ( mask > 0 ) u10 = c1(10)*u10 + c2(10)*v10
if ( cont(11) ) where ( mask > 0 ) u11 = c1(11)*u11 + c2(11)*v11
if ( cont(12) ) where ( mask > 0 ) u12 = c1(12)*u12 + c2(12)*v12
if ( cont(13) ) where ( mask > 0 ) u13 = c1(13)*u13 + c2(13)*v13
if ( cont(14) ) where ( mask > 0 ) u14 = c1(14)*u14 + c2(14)*v14
if ( cont(15) ) where ( mask > 0 ) u15 = c1(15)*u15 + c2(15)*v15
if ( cont(16) ) where ( mask > 0 ) u16 = c1(16)*u16 + c2(16)*v16
end subroutine multiply_sum
end module NoExcision_mod
|
