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#include "cctk.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine deriv_gf_4_2 ( 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(2), save :: a
CCTK_REAL, dimension(6,4), save :: q
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
a(1) = 2.0_wp/3.0_wp; a(2) = -1.0_wp/12.0_wp
q(1,1) = -24.0_wp/17.0_wp; q(2,1) = 59.0_wp/34.0_wp
q(3,1) = -4.0_wp/17.0_wp; q(4,1) = -3.0_wp/34.0_wp
q(5,1) = zero; q(6,1) = zero
q(1,2) = -1.0_wp/2.0_wp; q(2,2) = zero
q(3,2) = 1.0_wp/2.0_wp; q(4,2) = zero
q(5,2) = zero; q(6,2) = zero
q(1,3) = 4.0_wp/43.0_wp; q(2,3) = -59.0_wp/86.0_wp
q(3,3) = zero; q(4,3) = 59.0_wp/86.0_wp
q(5,3) = -4.0_wp/43.0_wp; q(6,3) = zero
q(1,4) = 3.0_wp/98.0_wp; q(2,4) = zero
q(3,4) = -59.0_wp/98.0_wp; q(4,4) = zero
q(5,4) = 32.0_wp/49.0_wp; q(6,4) = -4.0_wp/49.0_wp
first = .false.
end if
idel = 1.0_wp / delta
if (gsize < 2) 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,:,:) + &
q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) ) * idel
dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) ) * idel
dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) ) * idel
dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(3,4) * var(3,:,:) + &
q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) ) * idel
il = 5
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + &
q(3,4) * var(ni-2,:,:) + &
q(5,4) * var(ni-4,:,:) + &
q(6,4) * var(ni-5,:,:) ) * idel
dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + &
q(2,3) * var(ni-1,:,:) + &
q(4,3) * var(ni-3,:,:) + &
q(5,3) * var(ni-4,:,:) ) * idel
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,:,:) + &
q(3,1) * var(ni-2,:,:) + &
q(4,1) * var(ni-3,:,:) ) * idel
ir = ni - 4
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,:,:) ) + &
a(2) * ( var(il+2:ir+2,:,:) - &
var(il-2:ir-2,:,:) ) ) * 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,:) + &
q(3,1) * var(:,3,:) + q(4,1) * var(:,4,:) ) * idel
dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) ) * idel
dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) ) * idel
dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(3,4) * var(:,3,:) + &
q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) ) * idel
jl = 5
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + &
q(3,4) * var(:,nj-2,:) + &
q(5,4) * var(:,nj-4,:) + &
q(6,4) * var(:,nj-5,:) ) * idel
dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + &
q(2,3) * var(:,nj-1,:) + &
q(4,3) * var(:,nj-3,:) + &
q(5,3) * var(:,nj-4,:) ) * idel
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,:) + &
q(3,1) * var(:,nj-2,:) + &
q(4,1) * var(:,nj-3,:) ) * idel
jr = nj - 4
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,:) ) + &
a(2) * ( var(:,jl+2:jr+2,:) - &
var(:,jl-2:jr-2,:) ) ) * 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) + &
q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) ) * idel
dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) ) * idel
dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) ) * idel
dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(3,4) * var(:,:,3) + &
q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) ) * idel
kl = 5
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + &
q(3,4) * var(:,:,nk-2) + &
q(5,4) * var(:,:,nk-4) + &
q(6,4) * var(:,:,nk-5) ) * idel
dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + &
q(2,3) * var(:,:,nk-1) + &
q(4,3) * var(:,:,nk-3) + &
q(5,3) * var(:,:,nk-4) ) * idel
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) + &
q(3,1) * var(:,:,nk-2) + &
q(4,1) * var(:,:,nk-3) ) * idel
kr = nk - 4
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) ) + &
a(2) * ( var(:,:,kl+2:kr+2) - &
var(:,:,kl-2:kr-2) ) ) * idel
end if
end select direction
end subroutine deriv_gf_4_2
subroutine up_deriv_gf_4_2 ( 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(-2:2), save :: a1, a2
CCTK_REAL, dimension(6,4), save :: q1, q2
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
a1(-2) = 0.1666666666666666666666666666666666666667_wp
a1(-1) = -1.000000000000000000000000000000000000000_wp
a1(0) = 0.5000000000000000000000000000000000000000_wp
a1(1) = 0.3333333333333333333333333333333333333333_wp
a1(2) = 0.0_wp
q1(1,1) = -1.176470588235294117647058823529411764706_wp
q1(2,1) = 1.264705882352941176470588235294117647059_wp
q1(3,1) = 0.0_wp
q1(4,1) = -0.08823529411764705882352941176470588235294_wp
q1(5,1) = 0.0_wp
q1(6,1) = 0.0_wp
q1(1,2) = -0.6355932203389830508474576271186440677966_wp
q1(2,2) = 0.3389830508474576271186440677966101694915_wp
q1(3,2) = 0.2288135593220338983050847457627118644068_wp
q1(4,2) = 0.06779661016949152542372881355932203389831_wp
q1(5,2) = 0.0_wp
q1(6,2) = 0.0_wp
q1(1,3) = 0.1860465116279069767441860465116279069767_wp
q1(2,3) = -1.058139534883720930232558139534883720930_wp
q1(3,3) = 0.5581395348837209302325581395348837209302_wp
q1(4,3) = 0.3139534883720930232558139534883720930233_wp
q1(5,3) = 0.0_wp
q1(6,3) = 0.0_wp
q1(1,4) = 0.03061224489795918367346938775510204081633_wp
q1(2,4) = 0.08163265306122448979591836734693877551020_wp
q1(3,4) = -0.9285714285714285714285714285714285714286_wp
q1(4,4) = 0.4897959183673469387755102040816326530612_wp
q1(5,4) = 0.3265306122448979591836734693877551020408_wp
q1(6,4) = 0.0_wp
a2(-2) = 0.0_wp
a2(-1) = -0.3333333333333333333333333333333333333333_wp
a2(0) = -0.5000000000000000000000000000000000000000_wp
a2(1) = 1.000000000000000000000000000000000000000_wp
a2(2) = -0.1666666666666666666666666666666666666667_wp
q2(1,1) = -1.647058823529411764705882352941176470588_wp
q2(2,1) = 2.205882352941176470588235294117647058824_wp
q2(3,1) = -0.4705882352941176470588235294117647058824_wp
q2(4,1) = -0.08823529411764705882352941176470588235294_wp
q2(5,1) = 0.0_wp
q2(6,1) = 0.0_wp
q2(1,2) = -0.3644067796610169491525423728813559322034_wp
q2(2,2) = -0.3389830508474576271186440677966101694915_wp
q2(3,2) = 0.7711864406779661016949152542372881355932_wp
q2(4,2) = -0.06779661016949152542372881355932203389831_wp
q2(5,2) = 0.0_wp
q2(6,2) = 0.0_wp
q2(1,3) = 0.0_wp
q2(2,3) = -0.3139534883720930232558139534883720930233_wp
q2(3,3) = -0.5581395348837209302325581395348837209302_wp
q2(4,3) = 1.058139534883720930232558139534883720930_wp
q2(5,3) = -0.1860465116279069767441860465116279069767_wp
q2(6,3) = 0.0_wp
q2(1,4) = 0.03061224489795918367346938775510204081633_wp
q2(2,4) = -0.08163265306122448979591836734693877551020_wp
q2(3,4) = -0.2755102040816326530612244897959183673469_wp
q2(4,4) = -0.4897959183673469387755102040816326530612_wp
q2(5,4) = 0.9795918367346938775510204081632653061224_wp
q2(6,4) = -0.1632653061224489795918367346938775510204_wp
first = .false.
end if
idel = 1.0_wp / delta
if (gsize < 2) 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,:,:) + &
q1(3,1) * var(3,:,:) + q1(4,1) * var(4,:,:) ) * idel
elsewhere
dvar(1,:,:) = ( q2(1,1) * var(1,:,:) + q2(2,1) * var(2,:,:) + &
q2(3,1) * var(3,:,:) + q2(4,1) * var(4,:,:) ) * idel
end where
where ( up(2,:,:) < zero )
dvar(2,:,:) = ( q1(1,2) * var(1,:,:) + q1(2,2) * var(2,:,:) + &
q1(3,2) * var(3,:,:) + q1(4,2) * var(4,:,:) ) * idel
elsewhere
dvar(2,:,:) = ( q2(1,2) * var(1,:,:) + q2(2,2) * var(2,:,:) + &
q2(3,2) * var(3,:,:) + q2(4,2) * var(4,:,:) ) * idel
end where
where ( up(3,:,:) < zero )
dvar(3,:,:) = ( q1(1,3) * var(1,:,:) + q1(2,3) * var(2,:,:) + &
q1(3,3) * var(3,:,:) + q1(4,3) * var(4,:,:) + &
q1(5,3) * var(5,:,:) ) * idel
elsewhere
dvar(3,:,:) = ( q2(1,3) * var(1,:,:) + q2(2,3) * var(2,:,:) + &
q2(3,3) * var(3,:,:) + q2(4,3) * var(4,:,:) + &
q2(5,3) * var(5,:,:) ) * idel
end where
where ( up(4,:,:) < zero )
dvar(4,:,:) = ( q1(1,4) * var(1,:,:) + q1(2,4) * var(2,:,:) + &
q1(3,4) * var(3,:,:) + q1(4,4) * var(4,:,:) + &
q1(5,4) * var(5,:,:) + q1(6,4) * var(6,:,:) ) * idel
elsewhere
dvar(4,:,:) = ( q2(1,4) * var(1,:,:) + q2(2,4) * var(2,:,:) + &
q2(3,4) * var(3,:,:) + q2(4,4) * var(4,:,:) + &
q2(5,4) * var(5,:,:) + q2(6,4) * var(6,:,:) ) * idel
end where
il = 5
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
where ( up(ni-3,:,:) < zero )
dvar(ni-3,:,:) = - ( q2(1,4) * var(ni,:,:) + &
q2(2,4) * var(ni-1,:,:) + &
q2(3,4) * var(ni-2,:,:) + &
q2(4,4) * var(ni-3,:,:) + &
q2(5,4) * var(ni-4,:,:) + &
q2(6,4) * var(ni-5,:,:) ) * idel
elsewhere
dvar(ni-3,:,:) = - ( q1(1,4) * var(ni,:,:) + &
q1(2,4) * var(ni-1,:,:) + &
q1(3,4) * var(ni-2,:,:) + &
q1(4,4) * var(ni-3,:,:) + &
q1(5,4) * var(ni-4,:,:) + &
q1(6,4) * var(ni-5,:,:) ) * idel
end where
where ( up(ni-2,:,:) < zero )
dvar(ni-2,:,:) = - ( q2(1,3) * var(ni,:,:) + &
q2(2,3) * var(ni-1,:,:) + &
q2(3,3) * var(ni-2,:,:) + &
q2(4,3) * var(ni-3,:,:) + &
q2(5,3) * var(ni-4,:,:) ) * idel
elsewhere
dvar(ni-2,:,:) = - ( q1(1,3) * var(ni,:,:) + &
q1(2,3) * var(ni-1,:,:) + &
q1(3,3) * var(ni-2,:,:) + &
q1(4,3) * var(ni-3,:,:) + &
q1(5,3) * var(ni-4,:,:) ) * idel
end where
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,:,:) + &
q2(4,2) * var(ni-3,:,:) ) * idel
elsewhere
dvar(ni-1,:,:) = - ( q1(1,2) * var(ni,:,:) + &
q1(2,2) * var(ni-1,:,:) + &
q1(3,2) * var(ni-2,:,:) + &
q1(4,2) * var(ni-3,:,:) ) * idel
end where
where ( up(ni,:,:) < zero )
dvar(ni,:,:) = - ( q2(1,1) * var(ni,:,:) + &
q2(2,1) * var(ni-1,:,:) + &
q2(3,1) * var(ni-2,:,:) + &
q2(4,1) * var(ni-3,:,:) ) * idel
elsewhere
dvar(ni,:,:) = - ( q1(1,1) * var(ni,:,:) + &
q1(2,1) * var(ni-1,:,:) + &
q1(3,1) * var(ni-2,:,:) + &
q1(4,1) * var(ni-3,:,:) ) * idel
end where
ir = ni - 4
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
where ( up(il:ir,:,:) < zero )
dvar(il:ir,:,:) = ( a1(-2) * var(il-2:ir-2,:,:) + &
a1(-1) * var(il-1:ir-1,:,:) + &
a1(0) * var(il:ir,:,:) + &
a1(1) * var(il+1:ir+1,:,:) + &
a1(2) * var(il+2:ir+2,:,:) ) * idel
elsewhere
dvar(il:ir,:,:) = ( a2(-2) * var(il-2:ir-2,:,:) + &
a2(-1) * var(il-1:ir-1,:,:) + &
a2(0) * var(il:ir,:,:) + &
a2(1) * var(il+1:ir+1,:,:) + &
a2(2) * var(il+2:ir+2,:,:) ) * 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,:) + &
q1(3,1) * var(:,3,:) + q1(4,1) * var(:,4,:) ) * idel
elsewhere
dvar(:,1,:) = ( q2(1,1) * var(:,1,:) + q2(2,1) * var(:,2,:) + &
q2(3,1) * var(:,3,:) + q2(4,1) * var(:,4,:) ) * idel
end where
where ( up(:,2,:) < zero )
dvar(:,2,:) = ( q1(1,2) * var(:,1,:) + q1(2,2) * var(:,2,:) + &
q1(3,2) * var(:,3,:) + q1(4,2) * var(:,4,:) ) * idel
elsewhere
dvar(:,2,:) = ( q2(1,2) * var(:,1,:) + q2(2,2) * var(:,2,:) + &
q2(3,2) * var(:,3,:) + q2(4,2) * var(:,4,:) ) * idel
end where
where ( up(:,3,:) < zero )
dvar(:,3,:) = ( q1(1,3) * var(:,1,:) + q1(2,3) * var(:,2,:) + &
q1(3,3) * var(:,3,:) + q1(4,3) * var(:,4,:) + &
q1(5,3) * var(:,5,:) ) * idel
elsewhere
dvar(:,3,:) = ( q2(1,3) * var(:,1,:) + q2(2,3) * var(:,2,:) + &
q2(3,3) * var(:,3,:) + q2(4,3) * var(:,4,:) + &
q2(5,3) * var(:,5,:) ) * idel
end where
where ( up(:,4,:) < zero )
dvar(:,4,:) = ( q1(1,4) * var(:,1,:) + q1(2,4) * var(:,2,:) + &
q1(3,4) * var(:,3,:) + q1(4,4) * var(:,4,:) + &
q1(5,4) * var(:,5,:) + q1(6,4) * var(:,6,:) ) * idel
elsewhere
dvar(:,4,:) = ( q2(1,4) * var(:,1,:) + q2(2,4) * var(:,2,:) + &
q2(3,4) * var(:,3,:) + q2(4,4) * var(:,4,:) + &
q2(5,4) * var(:,5,:) + q2(6,4) * var(:,6,:) ) * idel
end where
jl = 5
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
where ( up(:,nj-3,:) < zero )
dvar(:,nj-3,:) = - ( q2(1,4) * var(:,nj,:) + &
q2(2,4) * var(:,nj-1,:) + &
q2(3,4) * var(:,nj-2,:) + &
q2(4,4) * var(:,nj-3,:) + &
q2(5,4) * var(:,nj-4,:) + &
q2(6,4) * var(:,nj-5,:) ) * idel
elsewhere
dvar(:,nj-3,:) = - ( q1(1,4) * var(:,nj,:) + &
q1(2,4) * var(:,nj-1,:) + &
q1(3,4) * var(:,nj-2,:) + &
q1(4,4) * var(:,nj-3,:) + &
q1(5,4) * var(:,nj-4,:) + &
q1(6,4) * var(:,nj-5,:) ) * idel
end where
where ( up(:,nj-2,:) < zero )
dvar(:,nj-2,:) = - ( q2(1,3) * var(:,nj,:) + &
q2(2,3) * var(:,nj-1,:) + &
q2(3,3) * var(:,nj-2,:) + &
q2(4,3) * var(:,nj-3,:) + &
q2(5,3) * var(:,nj-4,:) ) * idel
elsewhere
dvar(:,nj-2,:) = - ( q1(1,3) * var(:,nj,:) + &
q1(2,3) * var(:,nj-1,:) + &
q1(3,3) * var(:,nj-2,:) + &
q1(4,3) * var(:,nj-3,:) + &
q1(5,3) * var(:,nj-4,:) ) * idel
end where
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,:) + &
q2(4,2) * var(:,nj-3,:) ) * idel
elsewhere
dvar(:,nj-1,:) = - ( q1(1,2) * var(:,nj,:) + &
q1(2,2) * var(:,nj-1,:) + &
q1(3,2) * var(:,nj-2,:) + &
q1(4,2) * var(:,nj-3,:) ) * idel
end where
where ( up(:,nj,:) < zero )
dvar(:,nj,:) = - ( q2(1,1) * var(:,nj,:) + &
q2(2,1) * var(:,nj-1,:) + &
q2(3,1) * var(:,nj-2,:) + &
q2(4,1) * var(:,nj-3,:) ) * idel
elsewhere
dvar(:,nj,:) = - ( q1(1,1) * var(:,nj,:) + &
q1(2,1) * var(:,nj-1,:) + &
q1(3,1) * var(:,nj-2,:) + &
q1(4,1) * var(:,nj-3,:) ) * idel
end where
jr = nj - 4
end if
where ( up(:,jl:jr,:) < zero )
dvar(:,jl:jr,:) = ( a1(-2) * var(:,jl-2:jr-2,:) + &
a1(-1) * var(:,jl-1:jr-1,:) + &
a1(0) * var(:,jl:jr,:) + &
a1(1) * var(:,jl+1:jr+1,:) + &
a1(2) * var(:,jl+2:jr+2,:) ) * idel
elsewhere
dvar(:,jl:jr,:) = ( a2(-2) * var(:,jl-2:jr-2,:) + &
a2(-1) * var(:,jl-1:jr-1,:) + &
a2(0) * var(:,jl:jr,:) + &
a2(1) * var(:,jl+1:jr+1,:) + &
a2(2) * var(:,jl+2:jr+2,:) ) * 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) + &
q1(3,1) * var(:,:,3) + q1(4,1) * var(:,:,4) ) * idel
elsewhere
dvar(:,:,1) = ( q2(1,1) * var(:,:,1) + q2(2,1) * var(:,:,2) + &
q2(3,1) * var(:,:,3) + q2(4,1) * var(:,:,4) ) * idel
end where
where ( up(:,:,2) < zero )
dvar(:,:,2) = ( q1(1,2) * var(:,:,1) + q1(2,2) * var(:,:,2) + &
q1(3,2) * var(:,:,3) + q1(4,2) * var(:,:,4) ) * idel
elsewhere
dvar(:,:,2) = ( q2(1,2) * var(:,:,1) + q2(2,2) * var(:,:,2) + &
q2(3,2) * var(:,:,3) + q2(4,2) * var(:,:,4) ) * idel
end where
where ( up(:,:,3) < zero )
dvar(:,:,3) = ( q1(1,3) * var(:,:,1) + q1(2,3) * var(:,:,2) + &
q1(3,3) * var(:,:,3) + q1(4,3) * var(:,:,4) + &
q1(5,3) * var(:,:,5) ) * idel
elsewhere
dvar(:,:,3) = ( q2(1,3) * var(:,:,1) + q2(2,3) * var(:,:,2) + &
q2(3,3) * var(:,:,3) + q2(4,3) * var(:,:,4) + &
q2(5,3) * var(:,:,5) ) * idel
end where
where ( up(:,:,4) < zero )
dvar(:,:,4) = ( q1(1,4) * var(:,:,1) + q1(2,4) * var(:,:,2) + &
q1(3,4) * var(:,:,3) + q1(4,4) * var(:,:,4) + &
q1(5,4) * var(:,:,5) + q1(6,4) * var(:,:,6) ) * idel
elsewhere
dvar(:,:,4) = ( q2(1,4) * var(:,:,1) + q2(2,4) * var(:,:,2) + &
q2(3,4) * var(:,:,3) + q2(4,4) * var(:,:,4) + &
q2(5,4) * var(:,:,5) + q2(6,4) * var(:,:,6) ) * idel
end where
kl = 5
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
where ( up(:,:,nk-3) < zero )
dvar(:,:,nk-3) = - ( q2(1,4) * var(:,:,nk) + &
q2(2,4) * var(:,:,nk-1) + &
q2(3,4) * var(:,:,nk-2) + &
q2(4,4) * var(:,:,nk-3) + &
q2(5,4) * var(:,:,nk-4) + &
q2(6,4) * var(:,:,nk-5) ) * idel
elsewhere
dvar(:,:,nk-3) = - ( q1(1,4) * var(:,:,nk) + &
q1(2,4) * var(:,:,nk-1) + &
q1(3,4) * var(:,:,nk-2) + &
q1(4,4) * var(:,:,nk-3) + &
q1(5,4) * var(:,:,nk-4) + &
q1(6,4) * var(:,:,nk-5) ) * idel
end where
where ( up(:,:,nk-2) < zero )
dvar(:,:,nk-2) = - ( q2(1,3) * var(:,:,nk) + &
q2(2,3) * var(:,:,nk-1) + &
q2(3,3) * var(:,:,nk-2) + &
q2(4,3) * var(:,:,nk-3) + &
q2(5,3) * var(:,:,nk-4) ) * idel
elsewhere
dvar(:,:,nk-2) = - ( q1(1,3) * var(:,:,nk) + &
q1(2,3) * var(:,:,nk-1) + &
q1(3,3) * var(:,:,nk-2) + &
q1(4,3) * var(:,:,nk-3) + &
q1(5,3) * var(:,:,nk-4) ) * idel
end where
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) + &
q2(4,2) * var(:,:,nk-3) ) * idel
elsewhere
dvar(:,:,nk-1) = - ( q1(1,2) * var(:,:,nk) + &
q1(2,2) * var(:,:,nk-1) + &
q1(3,2) * var(:,:,nk-2) + &
q1(4,2) * var(:,:,nk-3) ) * idel
end where
where ( up(:,:,nk) < zero )
dvar(:,:,nk) = - ( q2(1,1) * var(:,:,nk) + &
q2(2,1) * var(:,:,nk-1) + &
q2(3,1) * var(:,:,nk-2) + &
q2(4,1) * var(:,:,nk-3) ) * idel
elsewhere
dvar(:,:,nk) = - ( q1(1,1) * var(:,:,nk) + &
q1(2,1) * var(:,:,nk-1) + &
q1(3,1) * var(:,:,nk-2) + &
q1(4,1) * var(:,:,nk-3) ) * idel
end where
kr = nk - 4
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
where ( up(:,:,kl:kr) < zero )
dvar(:,:,kl:kr) = ( a1(-2) * var(:,:,kl-2:kr-2) + &
a1(-1) * var(:,:,kl-1:kr-1) + &
a1(0) * var(:,:,kl:kr) + &
a1(1) * var(:,:,kl+1:kr+1) + &
a1(2) * var(:,:,kl+2:kr+2) ) * idel
elsewhere
dvar(:,:,kl:kr) = ( a2(-2) * var(:,:,kl-2:kr-2) + &
a2(-1) * var(:,:,kl-1:kr-1) + &
a2(0) * var(:,:,kl:kr) + &
a2(1) * var(:,:,kl+1:kr+1) + &
a2(2) * var(:,:,kl+2:kr+2) ) * idel
end where
end if
end select direction
end subroutine up_deriv_gf_4_2
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