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#include "cctk.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
implicit none
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_REAL, parameter :: zero = 0.0
integer, parameter :: wp = kind(zero)
CCTK_INT, intent(IN) :: ni, nj, nk
CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
CCTK_REAL, dimension(1), save :: a
CCTK_REAL, dimension(3,2), save :: q
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
a(1) = 1.0_wp/2.0_wp
q(1,1) = -1.0_wp; q(2,1) = 1.0_wp; q(3,1) = zero
q(1,2) = -1.0_wp/2.0_wp; q(2,2) = zero; q(3,2) = 1.0_wp/2.0_wp
first = .false.
end if
idel = 1.0_wp / delta
if (gsize < 1) call CCTK_WARN (0, "not enough ghostzones")
direction: select case (dir)
case (0) direction
if ( bb(1) == 0 ) then
il = 1 + gsize
else
dvar(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) ) * idel
dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) ) * idel
il = 3
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + &
q(3,2) * var(ni-2,:,:) ) * idel
dvar(ni,:,:) = - ( q(1,1) * var(ni,:,:) + &
q(2,1) * var(ni-1,:,:) ) * idel
ir = ni - 2
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = a(1) * ( var(il+1:ir+1,:,:) - var(il-1:ir-1,:,:) ) * idel
case (1) direction
if ( zero_derivs_y /= 0 ) then
dvar = zero
else
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
dvar(:,1,:) = ( q(1,1) * var(:,1,:) + q(2,1) * var(:,2,:) ) * idel
dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) ) * idel
jl = 3
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + &
q(3,2) * var(:,nj-2,:) ) * idel
dvar(:,nj,:) = - ( q(1,1) * var(:,nj,:) + &
q(2,1) * var(:,nj-1,:) ) * idel
jr = nj - 2
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = a(1) * ( var(:,jl+1:jr+1,:) - &
var(:,jl-1:jr-1,:) ) * idel
end if
case (2) direction
if ( zero_derivs_z /= 0 ) then
dvar = zero
else
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
dvar(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) ) * idel
dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) ) * idel
kl = 3
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + &
q(3,2) * var(:,:,nk-2) ) * idel
dvar(:,:,nk) = - ( q(1,1) * var(:,:,nk) + &
q(2,1) * var(:,:,nk-1) ) * idel
kr = nk - 2
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = a(1) * ( var(:,:,kl+1:kr+1) - &
var(:,:,kl-1:kr-1) ) * idel
end if
end select direction
end subroutine deriv_gf_2_1
subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
implicit none
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_REAL, parameter :: zero = 0.0
integer, parameter :: wp = kind(zero)
CCTK_INT, intent(IN) :: ni, nj, nk
CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: up
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
CCTK_REAL, dimension(-1:1), save :: a1, a2
CCTK_REAL, dimension(3,2), save :: q1, q2
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
a1(-1) = -1.000000000000000000000000000000000000000_wp
a1(0) = 1.000000000000000000000000000000000000000_wp
a1(1) = 0.0_wp
q1(1,1) = 0.0_wp
q1(2,1) = 0.0_wp
q1(3,1) = 0.0_wp
q1(1,2) = -1.000000000000000000000000000000000000000_wp
q1(2,2) = 1.000000000000000000000000000000000000000_wp
q1(3,2) = 0.0_wp
a2(-1) = 0.0_wp
a2(0) = -1.000000000000000000000000000000000000000_wp
a2(1) = 1.000000000000000000000000000000000000000_wp
q2(1,1) = -2.000000000000000000000000000000000000000_wp
q2(2,1) = 2.000000000000000000000000000000000000000_wp
q2(3,1) = 0.0_wp
q2(1,2) = 0.0_wp
q2(2,2) = -1.000000000000000000000000000000000000000_wp
q2(3,2) = 1.000000000000000000000000000000000000000_wp
first = .false.
end if
idel = 1.0_wp / delta
if (gsize < 1) call CCTK_WARN (0, "not enough ghostzones")
direction: select case (dir)
case (0) direction
if ( bb(1) == 0 ) then
il = 1 + gsize
else
where ( up(1,:,:) < zero )
dvar(1,:,:) = ( q1(1,1) * var(1,:,:) + q1(2,1) * var(2,:,:) ) * idel
elsewhere
dvar(1,:,:) = ( q2(1,1) * var(1,:,:) + q2(2,1) * var(2,:,:) ) * idel
end where
where ( up(2,:,:) < zero )
dvar(2,:,:) = ( q1(1,2) * var(1,:,:) + q1(2,2) * var(2,:,:) + &
q1(3,2) * var(3,:,:) ) * idel
elsewhere
dvar(2,:,:) = ( q2(1,2) * var(1,:,:) + q2(2,2) * var(2,:,:) + &
q2(3,2) * var(3,:,:) ) * idel
end where
il = 3
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
where ( up(ni-1,:,:) < zero )
dvar(ni-1,:,:) = - ( q2(1,2) * var(ni,:,:) + &
q2(2,2) * var(ni-1,:,:) + &
q2(3,2) * var(ni-2,:,:) ) * idel
elsewhere
dvar(ni-1,:,:) = - ( q1(1,2) * var(ni,:,:) + &
q1(2,2) * var(ni-1,:,:) + &
q1(3,2) * var(ni-2,:,:) ) * idel
end where
where ( up(ni,:,:) < zero )
dvar(ni,:,:) = - ( q2(1,1) * var(ni,:,:) + &
q2(2,1) * var(ni-1,:,:) ) * idel
elsewhere
dvar(ni,:,:) = - ( q1(1,1) * var(ni,:,:) + &
q1(2,1) * var(ni-1,:,:) ) * idel
end where
ir = ni - 2
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
where ( up(il:ir,:,:) < zero )
dvar(il:ir,:,:) = ( a1(-1) * var(il-1:ir-1,:,:) + &
a1(0) * var(il:ir,:,:) + &
a1(1) * var(il+1:ir+1,:,:) ) * idel
elsewhere
dvar(il:ir,:,:) = ( a2(-1) * var(il-1:ir-1,:,:) + &
a2(0) * var(il:ir,:,:) + &
a2(1) * var(il+1:ir+1,:,:) ) * idel
end where
case (1) direction
if ( zero_derivs_y /= 0 ) then
dvar = zero
else
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
where ( up(:,1,:) < zero )
dvar(:,1,:) = ( q1(1,1) * var(:,1,:) + q1(2,1) * var(:,2,:) ) * idel
elsewhere
dvar(:,1,:) = ( q2(1,1) * var(:,1,:) + q2(2,1) * var(:,2,:) ) * idel
end where
where ( up(:,2,:) < zero )
dvar(:,2,:) = ( q1(1,2) * var(:,1,:) + q1(2,2) * var(:,2,:) + &
q1(3,2) * var(:,3,:) ) * idel
elsewhere
dvar(:,2,:) = ( q2(1,2) * var(:,1,:) + q2(2,2) * var(:,2,:) + &
q2(3,2) * var(:,3,:) ) * idel
end where
jl = 3
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
where ( up(:,nj-1,:) < zero )
dvar(:,nj-1,:) = - ( q2(1,2) * var(:,nj,:) + &
q2(2,2) * var(:,nj-1,:) + &
q2(3,2) * var(:,nj-2,:) ) * idel
elsewhere
dvar(:,nj-1,:) = - ( q1(1,2) * var(:,nj,:) + &
q1(2,2) * var(:,nj-1,:) + &
q1(3,2) * var(:,nj-2,:) ) * idel
end where
where ( up(:,nj,:) < zero )
dvar(:,nj,:) = - ( q2(1,1) * var(:,nj,:) + &
q2(2,1) * var(:,nj-1,:) ) * idel
elsewhere
dvar(:,nj,:) = - ( q1(1,1) * var(:,nj,:) + &
q1(2,1) * var(:,nj-1,:) ) * idel
end where
jr = nj - 2
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
where ( up(:,jl:jr,:) < zero )
dvar(:,jl:jr,:) = ( a1(-1) * var(:,jl-1:jr-1,:) + &
a1(0) * var(:,jl:jr,:) + &
a1(1) * var(:,jl+1:jr+1,:) ) * idel
elsewhere
dvar(:,jl:jr,:) = ( a2(-1) * var(:,jl-1:jr-1,:) + &
a2(0) * var(:,jl:jr,:) + &
a2(1) * var(:,jl+1:jr+1,:) ) * idel
end where
end if
case (2) direction
if ( zero_derivs_z /= 0 ) then
dvar = zero
else
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
where ( up(:,:,1) < zero )
dvar(:,:,1) = ( q1(1,1) * var(:,:,1) + q1(2,1) * var(:,:,2) ) * idel
elsewhere
dvar(:,:,1) = ( q2(1,1) * var(:,:,1) + q2(2,1) * var(:,:,2) ) * idel
end where
where ( up(:,:,2) < zero )
dvar(:,:,2) = ( q1(1,2) * var(:,:,1) + q1(2,2) * var(:,:,2) + &
q1(3,2) * var(:,:,3) ) * idel
elsewhere
dvar(:,:,2) = ( q2(1,2) * var(:,:,1) + q2(2,2) * var(:,:,2) + &
q2(3,2) * var(:,:,3) ) * idel
end where
kl = 3
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
where ( up(:,:,nk-1) < zero )
dvar(:,:,nk-1) = - ( q2(1,2) * var(:,:,nk) + &
q2(2,2) * var(:,:,nk-1) + &
q2(3,2) * var(:,:,nk-2) ) * idel
elsewhere
dvar(:,:,nk-1) = - ( q1(1,2) * var(:,:,nk) + &
q1(2,2) * var(:,:,nk-1) + &
q1(3,2) * var(:,:,nk-2) ) * idel
end where
where ( up(:,:,nk) < zero )
dvar(:,:,nk) = - ( q2(1,1) * var(:,:,nk) + &
q2(2,1) * var(:,:,nk-1) ) * idel
elsewhere
dvar(:,:,nk) = - ( q1(1,1) * var(:,:,nk) + &
q1(2,1) * var(:,:,nk-1) ) * idel
end where
kr = nk - 2
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
where ( up(:,:,kl:kr) < zero )
dvar(:,:,kl:kr) = ( a1(-1) * var(:,:,kl-1:kr-1) + &
a1(0) * var(:,:,kl:kr) + &
a1(1) * var(:,:,kl+1:kr+1) ) * idel
elsewhere
dvar(:,:,kl:kr) = ( a2(-1) * var(:,:,kl-1:kr-1) + &
a2(0) * var(:,:,kl:kr) + &
a2(1) * var(:,:,kl+1:kr+1) ) * idel
end where
end if
end select direction
end subroutine up_deriv_gf_2_1
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