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authorkorobkin <korobkin@f69c4107-0314-4c4f-9ad4-17e986b73f4a>2008-04-28 22:09:07 +0000
committerkorobkin <korobkin@f69c4107-0314-4c4f-9ad4-17e986b73f4a>2008-04-28 22:09:07 +0000
commit53f63939c336f78e10f86feef033ebcff8250a9b (patch)
treee0cefbe463a4584ad6a5eebe5ebc527d81a35dd2
parent6fdbf297784da5711d8801877103cd7b4f43f383 (diff)
(+) Added the capability to specify grid offsets in derivative and dissipation
operators, as set by boundary_shiftout* parameters of CoordBase. Only first-order centered derivative operators are affected. git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/SummationByParts/trunk@105 f69c4107-0314-4c4f-9ad4-17e986b73f4a
-rw-r--r--src/Derivatives_2_1.F9077
-rw-r--r--src/Derivatives_4_2.F90155
-rw-r--r--src/Derivatives_4_3.F90233
-rw-r--r--src/Derivatives_4_3_min_err_coeff.F90251
-rw-r--r--src/Derivatives_6_3.F90271
-rw-r--r--src/Derivatives_6_3_min_err_coeff.F90281
-rw-r--r--src/Derivatives_6_5.F90443
-rw-r--r--src/Derivatives_6_5_min_err_coeff.F90467
-rw-r--r--src/Derivatives_8_4.F90479
-rw-r--r--src/Derivatives_8_4_min_err_coeff.F90311
-rw-r--r--src/Dissipation_2_1.F9087
-rw-r--r--src/Dissipation_2_1_alt.F9099
-rw-r--r--src/Dissipation_4_2.F90191
-rw-r--r--src/Dissipation_4_2_alt.F90219
-rw-r--r--src/Dissipation_4_3_min_err_coeff.F90500
-rw-r--r--src/Dissipation_4_3_min_err_coeff_alt.F90576
-rw-r--r--src/Dissipation_6_3.F90335
-rw-r--r--src/Dissipation_6_3_alt.F90383
-rw-r--r--src/Dissipation_6_5_min_err_coeff.F90861
-rw-r--r--src/Dissipation_6_5_min_err_coeff_alt.F90906
-rw-r--r--src/Dissipation_8_4.F90527
-rw-r--r--src/Dissipation_8_4_alt.F90587
-rw-r--r--src/call_derivs.c32
-rw-r--r--src/dissipation.c72
24 files changed, 4374 insertions, 3969 deletions
diff --git a/src/Derivatives_2_1.F90 b/src/Derivatives_2_1.F90
index 489fc1d..df660cd 100644
--- a/src/Derivatives_2_1.F90
+++ b/src/Derivatives_2_1.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(3,2), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,22 +42,24 @@ subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
il = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) ) * idel
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(3,2) * var(3+ol,:,:) ) * idel
!$omp end parallel workshare
- il = 3
+ il = 3 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
+ or = ni - offset(2)
!$omp parallel workshare
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + &
- q(3,2) * var(ni-2,:,:) ) * idel
- dvar(ni,:,:) = - ( q(1,1) * var(ni,:,:) + &
- q(2,1) * var(ni-1,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + &
+ q(3,2) * var(or-2,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + &
+ q(2,1) * var(or-1,:,:) ) * idel
!$omp end parallel workshare
- ir = ni - 2
+ ir = or - 2
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -69,22 +72,24 @@ subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- 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
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(3,2) * var(:,3+ol,:) ) * idel
!$omp end parallel workshare
- jl = 3
+ jl = 3 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
+ or = nj - offset(2)
!$omp parallel workshare
- 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
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + &
+ q(3,2) * var(:,or-2,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + &
+ q(2,1) * var(:,or-1,:) ) * idel
!$omp end parallel workshare
- jr = nj - 2
+ jr = or - 2
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -99,22 +104,24 @@ subroutine deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) ) * idel
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(3,2) * var(:,:,3+ol) ) * idel
!$omp end parallel workshare
- kl = 3
+ kl = 3 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
+ or = nk - offset(2)
!$omp parallel workshare
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + &
- q(3,2) * var(:,:,nk-2) ) * idel
- dvar(:,:,nk) = - ( q(1,1) * var(:,:,nk) + &
- q(2,1) * var(:,:,nk-1) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + &
+ q(3,2) * var(:,:,or-2) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + &
+ q(2,1) * var(:,:,or-1) ) * idel
!$omp end parallel workshare
- kr = nk - 2
+ kr = or - 2
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -165,7 +172,6 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
if ( bb(1) == 0 ) then
il = 1 + gsize
else
-!$omp parallel workshare
where ( up(1,:,:) < zero )
dvar(1,:,:) = ( q1(1,1) * var(1,:,:) + q1(2,1) * var(2,:,:) ) * idel
elsewhere
@@ -178,13 +184,11 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
dvar(2,:,:) = ( q2(1,2) * var(1,:,:) + q2(2,2) * var(2,:,:) + &
q2(3,2) * var(3,:,:) ) * idel
end where
-!$omp end parallel workshare
il = 3
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
-!$omp parallel workshare
where ( up(ni-1,:,:) < zero )
dvar(ni-1,:,:) = - ( q2(1,2) * var(ni,:,:) + &
q2(2,2) * var(ni-1,:,:) + &
@@ -201,11 +205,9 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
dvar(ni,:,:) = - ( q1(1,1) * var(ni,:,:) + &
q1(2,1) * var(ni-1,:,:) ) * idel
end where
-!$omp end parallel workshare
ir = ni - 2
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
-!$omp parallel workshare
where ( up(il:ir,:,:) < zero )
dvar(il:ir,:,:) = ( a1(-1) * var(il-1:ir-1,:,:) + &
a1(0) * var(il:ir,:,:) + &
@@ -215,7 +217,6 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
a2(0) * var(il:ir,:,:) + &
a2(1) * var(il+1:ir+1,:,:) ) * idel
end where
-!$omp end parallel workshare
case (1) direction
if ( zero_derivs_y /= 0 ) then
dvar = zero
@@ -223,7 +224,6 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
-!$omp parallel workshare
where ( up(:,1,:) < zero )
dvar(:,1,:) = ( q1(1,1) * var(:,1,:) + q1(2,1) * var(:,2,:) ) * idel
elsewhere
@@ -236,13 +236,11 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
dvar(:,2,:) = ( q2(1,2) * var(:,1,:) + q2(2,2) * var(:,2,:) + &
q2(3,2) * var(:,3,:) ) * idel
end where
-!$omp end parallel workshare
jl = 3
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
-!$omp parallel workshare
where ( up(:,nj-1,:) < zero )
dvar(:,nj-1,:) = - ( q2(1,2) * var(:,nj,:) + &
q2(2,2) * var(:,nj-1,:) + &
@@ -259,11 +257,9 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
dvar(:,nj,:) = - ( q1(1,1) * var(:,nj,:) + &
q1(2,1) * var(:,nj-1,:) ) * idel
end where
-!$omp end parallel workshare
jr = nj - 2
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
-!$omp parallel workshare
where ( up(:,jl:jr,:) < zero )
dvar(:,jl:jr,:) = ( a1(-1) * var(:,jl-1:jr-1,:) + &
a1(0) * var(:,jl:jr,:) + &
@@ -273,7 +269,6 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
a2(0) * var(:,jl:jr,:) + &
a2(1) * var(:,jl+1:jr+1,:) ) * idel
end where
-!$omp end parallel workshare
end if
case (2) direction
if ( zero_derivs_z /= 0 ) then
@@ -282,7 +277,6 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
-!$omp parallel workshare
where ( up(:,:,1) < zero )
dvar(:,:,1) = ( q1(1,1) * var(:,:,1) + q1(2,1) * var(:,:,2) ) * idel
elsewhere
@@ -295,13 +289,11 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
dvar(:,:,2) = ( q2(1,2) * var(:,:,1) + q2(2,2) * var(:,:,2) + &
q2(3,2) * var(:,:,3) ) * idel
end where
-!$omp end parallel workshare
kl = 3
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
-!$omp parallel workshare
where ( up(:,:,nk-1) < zero )
dvar(:,:,nk-1) = - ( q2(1,2) * var(:,:,nk) + &
q2(2,2) * var(:,:,nk-1) + &
@@ -318,11 +310,9 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
dvar(:,:,nk) = - ( q1(1,1) * var(:,:,nk) + &
q1(2,1) * var(:,:,nk-1) ) * idel
end where
-!$omp end parallel workshare
kr = nk - 2
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
-!$omp parallel workshare
where ( up(:,:,kl:kr) < zero )
dvar(:,:,kl:kr) = ( a1(-1) * var(:,:,kl-1:kr-1) + &
a1(0) * var(:,:,kl:kr) + &
@@ -332,7 +322,6 @@ subroutine up_deriv_gf_2_1 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
a2(0) * var(:,:,kl:kr) + &
a2(1) * var(:,:,kl+1:kr+1) ) * idel
end where
-!$omp end parallel workshare
end if
end select direction
end subroutine up_deriv_gf_2_1
diff --git a/src/Derivatives_4_2.F90 b/src/Derivatives_4_2.F90
index cc16ebd..6b78d5e 100644
--- a/src/Derivatives_4_2.F90
+++ b/src/Derivatives_4_2.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(6,4), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,33 +42,35 @@ subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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
+ ol = offset(1)
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(3,2) * var(3+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(4,3) * var(4+ol,:,:) + q(5,3) * var(5+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(3,4) * var(3+ol,:,:) + &
+ q(5,4) * var(5+ol,:,:) + q(6,4) * var(6+ol,:,:) ) * idel
+ il = 5 + ol
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
+ or = ni - offset(2)
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + &
+ q(3,4) * var(or-2,:,:) + &
+ q(5,4) * var(or-4,:,:) + &
+ q(6,4) * var(or-5,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + &
+ q(2,3) * var(or-1,:,:) + &
+ q(4,3) * var(or-3,:,:) + &
+ q(5,3) * var(or-4,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + &
+ q(3,2) * var(or-2,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + &
+ q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + &
+ q(4,1) * var(or-3,:,:) ) * idel
+ ir = or - 4
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -83,33 +86,35 @@ subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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
+ ol = offset(1)
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(3,2) * var(:,3+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(4,3) * var(:,4+ol,:) + q(5,3) * var(:,5+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(3,4) * var(:,3+ol,:) + &
+ q(5,4) * var(:,5+ol,:) + q(6,4) * var(:,6+ol,:) ) * idel
+ jl = 5 + ol
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
+ or = nj - offset(2)
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + &
+ q(3,4) * var(:,or-2,:) + &
+ q(5,4) * var(:,or-4,:) + &
+ q(6,4) * var(:,or-5,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + &
+ q(2,3) * var(:,or-1,:) + &
+ q(4,3) * var(:,or-3,:) + &
+ q(5,3) * var(:,or-4,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + &
+ q(3,2) * var(:,or-2,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + &
+ q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + &
+ q(4,1) * var(:,or-3,:) ) * idel
+ jr = or - 4
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -126,33 +131,35 @@ subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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
+ ol = offset(1)
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(3,2) * var(:,:,3+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(4,3) * var(:,:,4+ol) + q(5,3) * var(:,:,5+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(3,4) * var(:,:,3+ol) + &
+ q(5,4) * var(:,:,5+ol) + q(6,4) * var(:,:,6+ol) ) * idel
+ kl = 5 + ol
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
+ or = nk - offset(2)
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + &
+ q(3,4) * var(:,:,or-2) + &
+ q(5,4) * var(:,:,or-4) + &
+ q(6,4) * var(:,:,or-5) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + &
+ q(2,3) * var(:,:,or-1) + &
+ q(4,3) * var(:,:,or-3) + &
+ q(5,3) * var(:,:,or-4) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + &
+ q(3,2) * var(:,:,or-2) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + &
+ q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + &
+ q(4,1) * var(:,:,or-3) ) * idel
+ kr = or - 4
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -295,7 +302,6 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
ir = ni - 4
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
-!$omp parallel workshare
where ( up(il:ir,:,:) < zero )
dvar(il:ir,:,:) = ( a1(-2) * var(il-2:ir-2,:,:) + &
a1(-1) * var(il-1:ir-1,:,:) + &
@@ -309,7 +315,6 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
a2(1) * var(il+1:ir+1,:,:) + &
a2(2) * var(il+2:ir+2,:,:) ) * idel
end where
-!$omp end parallel workshare
case (1) direction
if ( zero_derivs_y /= 0 ) then
dvar = zero
@@ -407,7 +412,6 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
jr = nj - 4
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
-!$omp parallel workshare
where ( up(:,jl:jr,:) < zero )
dvar(:,jl:jr,:) = ( a1(-2) * var(:,jl-2:jr-2,:) + &
a1(-1) * var(:,jl-1:jr-1,:) + &
@@ -421,7 +425,6 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
a2(1) * var(:,jl+1:jr+1,:) + &
a2(2) * var(:,jl+2:jr+2,:) ) * idel
end where
-!$omp end parallel workshare
end if
case (2) direction
if ( zero_derivs_z /= 0 ) then
@@ -520,7 +523,6 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
kr = nk - 4
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
-!$omp parallel workshare
where ( up(:,:,kl:kr) < zero )
dvar(:,:,kl:kr) = ( a1(-2) * var(:,:,kl-2:kr-2) + &
a1(-1) * var(:,:,kl-1:kr-1) + &
@@ -534,7 +536,6 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
a2(1) * var(:,:,kl+1:kr+1) + &
a2(2) * var(:,:,kl+2:kr+2) ) * idel
end where
-!$omp end parallel workshare
end if
end select direction
end subroutine up_deriv_gf_4_2
diff --git a/src/Derivatives_4_3.F90 b/src/Derivatives_4_3.F90
index 1bc9734..dd88de7 100644
--- a/src/Derivatives_4_3.F90
+++ b/src/Derivatives_4_3.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(7,5), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,51 +42,53 @@ subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
il = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) + &
- q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + &
- q(3,2) * var(3,:,:) + q(4,2) * var(4,:,:) + &
- q(5,2) * var(5,:,:) + q(6,2) * var(6,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + &
- q(5,3) * var(5,:,:) + q(6,3) * var(6,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(4,4) * var(4,:,:) + &
- q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) + &
- q(7,4) * var(7,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(5,5) * var(5,:,:) + q(6,5) * var(6,:,:) + &
- q(7,5) * var(7,:,:) ) * idel
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(2,2) * var(2+ol,:,:) + &
+ q(3,2) * var(3+ol,:,:) + q(4,2) * var(4+ol,:,:) + &
+ q(5,2) * var(5+ol,:,:) + q(6,2) * var(6+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(3,3) * var(3+ol,:,:) + q(4,3) * var(4+ol,:,:) + &
+ q(5,3) * var(5+ol,:,:) + q(6,3) * var(6+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(4,4) * var(4+ol,:,:) + &
+ q(5,4) * var(5+ol,:,:) + q(6,4) * var(6+ol,:,:) + &
+ q(7,4) * var(7+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(5,5) * var(5+ol,:,:) + q(6,5) * var(6+ol,:,:) + &
+ q(7,5) * var(7+ol,:,:) ) * idel
!$omp end parallel workshare
- il = 6
+ il = 6 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
+ or = ni - offset(2)
!$omp parallel workshare
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(5,5) * var(ni-4,:,:) + q(6,5) * var(ni-5,:,:) + &
- q(7,5) * var(ni-6,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(4,4) * var(ni-3,:,:) + &
- q(5,4) * var(ni-4,:,:) + q(6,4) * var(ni-5,:,:) + &
- q(7,4) * var(ni-6,:,:) ) * idel
- dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + q(2,3) * var(ni-1,:,:) + &
- q(3,3) * var(ni-2,:,:) + q(4,3) * var(ni-3,:,:) + &
- q(5,3) * var(ni-4,:,:) + &
- q(6,3) * var(ni-5,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(2,2) * var(ni-1,:,:) + &
- q(3,2) * var(ni-2,:,:) + q(4,2) * var(ni-3,:,:) + &
- q(5,2) * var(ni-4,:,:) + &
- q(6,2) * var(ni-5,:,:) ) * idel
- dvar(ni,:,:) = - ( q(1,1) * var(ni,:,:) + q(2,1) * var(ni-1,:,:) + &
- q(3,1) * var(ni-2,:,:) + &
- q(4,1) * var(ni-3,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(5,5) * var(or-4,:,:) + q(6,5) * var(or-5,:,:) + &
+ q(7,5) * var(or-6,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(4,4) * var(or-3,:,:) + &
+ q(5,4) * var(or-4,:,:) + q(6,4) * var(or-5,:,:) + &
+ q(7,4) * var(or-6,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(3,3) * var(or-2,:,:) + q(4,3) * var(or-3,:,:) + &
+ q(5,3) * var(or-4,:,:) + &
+ q(6,3) * var(or-5,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(2,2) * var(or-1,:,:) + &
+ q(3,2) * var(or-2,:,:) + q(4,2) * var(or-3,:,:) + &
+ q(5,2) * var(or-4,:,:) + &
+ q(6,2) * var(or-5,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + &
+ q(4,1) * var(or-3,:,:) ) * idel
!$omp end parallel workshare
- ir = ni - 5
+ ir = or - 5
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -101,51 +104,53 @@ subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- 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(2,2) * var(:,2,:) + &
- q(3,2) * var(:,3,:) + q(4,2) * var(:,4,:) + &
- q(5,2) * var(:,5,:) + q(6,2) * var(:,6,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + &
- q(5,3) * var(:,5,:) + q(6,3) * var(:,6,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(4,4) * var(:,4,:) + &
- q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) + &
- q(7,4) * var(:,7,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(5,5) * var(:,5,:) + q(6,5) * var(:,6,:) + &
- q(7,5) * var(:,7,:) ) * idel
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(2,2) * var(:,2+ol,:) + &
+ q(3,2) * var(:,3+ol,:) + q(4,2) * var(:,4+ol,:) + &
+ q(5,2) * var(:,5+ol,:) + q(6,2) * var(:,6+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(3,3) * var(:,3+ol,:) + q(4,3) * var(:,4+ol,:) + &
+ q(5,3) * var(:,5+ol,:) + q(6,3) * var(:,6+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(4,4) * var(:,4+ol,:) + &
+ q(5,4) * var(:,5+ol,:) + q(6,4) * var(:,6+ol,:) + &
+ q(7,4) * var(:,7+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(5,5) * var(:,5+ol,:) + q(6,5) * var(:,6+ol,:) + &
+ q(7,5) * var(:,7+ol,:) ) * idel
!$omp end parallel workshare
- jl = 6
+ jl = 6 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
+ or = nj - offset(2)
!$omp parallel workshare
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(5,5) * var(:,nj-4,:) + q(6,5) * var(:,nj-5,:) + &
- q(7,5) * var(:,nj-6,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(4,4) * var(:,nj-3,:) + &
- q(5,4) * var(:,nj-4,:) + q(6,4) * var(:,nj-5,:) + &
- q(7,4) * var(:,nj-6,:) ) * idel
- dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + q(2,3) * var(:,nj-1,:) + &
- q(3,3) * var(:,nj-2,:) + q(4,3) * var(:,nj-3,:) + &
- q(5,3) * var(:,nj-4,:) + &
- q(6,3) * var(:,nj-5,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(2,2) * var(:,nj-1,:) + &
- q(3,2) * var(:,nj-2,:) + q(4,2) * var(:,nj-3,:) + &
- q(5,2) * var(:,nj-4,:) + &
- q(6,2) * var(:,nj-5,:) ) * 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
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(5,5) * var(:,or-4,:) + q(6,5) * var(:,or-5,:) + &
+ q(7,5) * var(:,or-6,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(4,4) * var(:,or-3,:) + &
+ q(5,4) * var(:,or-4,:) + q(6,4) * var(:,or-5,:) + &
+ q(7,4) * var(:,or-6,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(3,3) * var(:,or-2,:) + q(4,3) * var(:,or-3,:) + &
+ q(5,3) * var(:,or-4,:) + &
+ q(6,3) * var(:,or-5,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(2,2) * var(:,or-1,:) + &
+ q(3,2) * var(:,or-2,:) + q(4,2) * var(:,or-3,:) + &
+ q(5,2) * var(:,or-4,:) + &
+ q(6,2) * var(:,or-5,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + &
+ q(4,1) * var(:,or-3,:) ) * idel
!$omp end parallel workshare
- jr = nj - 5
+ jr = or - 5
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -162,51 +167,53 @@ subroutine deriv_gf_4_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) + &
- q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + &
- q(3,2) * var(:,:,3) + q(4,2) * var(:,:,4) + &
- q(5,2) * var(:,:,5) + q(6,2) * var(:,:,6) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + &
- q(5,3) * var(:,:,5) + q(6,3) * var(:,:,6) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(4,4) * var(:,:,4) + &
- q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) + &
- q(7,4) * var(:,:,7) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(5,5) * var(:,:,5) + q(6,5) * var(:,:,6) + &
- q(7,5) * var(:,:,7) ) * idel
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(2,2) * var(:,:,2+ol) + &
+ q(3,2) * var(:,:,3+ol) + q(4,2) * var(:,:,4+ol) + &
+ q(5,2) * var(:,:,5+ol) + q(6,2) * var(:,:,6+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(3,3) * var(:,:,3+ol) + q(4,3) * var(:,:,4+ol) + &
+ q(5,3) * var(:,:,5+ol) + q(6,3) * var(:,:,6+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(4,4) * var(:,:,4+ol) + &
+ q(5,4) * var(:,:,5+ol) + q(6,4) * var(:,:,6+ol) + &
+ q(7,4) * var(:,:,7+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(5,5) * var(:,:,5+ol) + q(6,5) * var(:,:,6+ol) + &
+ q(7,5) * var(:,:,7+ol) ) * idel
!$omp end parallel workshare
- kl = 6
+ kl = 6 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
+ or = nk - offset(2)
!$omp parallel workshare
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(5,5) * var(:,:,nk-4) + q(6,5) * var(:,:,nk-5) + &
- q(7,5) * var(:,:,nk-6) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(4,4) * var(:,:,nk-3) + &
- q(5,4) * var(:,:,nk-4) + q(6,4) * var(:,:,nk-5) + &
- q(7,4) * var(:,:,nk-6) ) * idel
- dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + q(2,3) * var(:,:,nk-1) + &
- q(3,3) * var(:,:,nk-2) + q(4,3) * var(:,:,nk-3) + &
- q(5,3) * var(:,:,nk-4) + &
- q(6,3) * var(:,:,nk-5) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(2,2) * var(:,:,nk-1) + &
- q(3,2) * var(:,:,nk-2) + q(4,2) * var(:,:,nk-3) + &
- q(5,2) * var(:,:,nk-4) + &
- q(6,2) * var(:,:,nk-5) ) * idel
- dvar(:,:,nk) = - ( q(1,1) * var(:,:,nk) + q(2,1) * var(:,:,nk-1) + &
- q(3,1) * var(:,:,nk-2) + &
- q(4,1) * var(:,:,nk-3) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(5,5) * var(:,:,or-4) + q(6,5) * var(:,:,or-5) + &
+ q(7,5) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(4,4) * var(:,:,or-3) + &
+ q(5,4) * var(:,:,or-4) + q(6,4) * var(:,:,or-5) + &
+ q(7,4) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(3,3) * var(:,:,or-2) + q(4,3) * var(:,:,or-3) + &
+ q(5,3) * var(:,:,or-4) + &
+ q(6,3) * var(:,:,or-5) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(2,2) * var(:,:,or-1) + &
+ q(3,2) * var(:,:,or-2) + q(4,2) * var(:,:,or-3) + &
+ q(5,2) * var(:,:,or-4) + &
+ q(6,2) * var(:,:,or-5) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + &
+ q(4,1) * var(:,:,or-3) ) * idel
!$omp end parallel workshare
- kr = nk - 5
+ kr = or - 5
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
diff --git a/src/Derivatives_4_3_min_err_coeff.F90 b/src/Derivatives_4_3_min_err_coeff.F90
index c5968ef..2f5ff22 100644
--- a/src/Derivatives_4_3_min_err_coeff.F90
+++ b/src/Derivatives_4_3_min_err_coeff.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(7,5), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,54 +42,56 @@ subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
il = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) + &
- q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) + &
- q(5,1) * var(5,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + &
- q(3,2) * var(3,:,:) + q(4,2) * var(4,:,:) + &
- q(5,2) * var(5,:,:) + q(6,2) * var(6,:,:) + &
- q(7,2) * var(7,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + &
- q(5,3) * var(5,:,:) + q(6,3) * var(6,:,:) + &
- q(7,3) * var(7,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(4,4) * var(4,:,:) + &
- q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) + &
- q(7,4) * var(7,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(5,5) * var(5,:,:) + q(6,5) * var(6,:,:) + &
- q(7,5) * var(7,:,:) ) * idel
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(2,2) * var(2+ol,:,:) + &
+ q(3,2) * var(3+ol,:,:) + q(4,2) * var(4+ol,:,:) + &
+ q(5,2) * var(5+ol,:,:) + q(6,2) * var(6+ol,:,:) + &
+ q(7,2) * var(7+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(3,3) * var(3+ol,:,:) + q(4,3) * var(4+ol,:,:) + &
+ q(5,3) * var(5+ol,:,:) + q(6,3) * var(6+ol,:,:) + &
+ q(7,3) * var(7+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(4,4) * var(4+ol,:,:) + &
+ q(5,4) * var(5+ol,:,:) + q(6,4) * var(6+ol,:,:) + &
+ q(7,4) * var(7+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(5,5) * var(5+ol,:,:) + q(6,5) * var(6+ol,:,:) + &
+ q(7,5) * var(7+ol,:,:) ) * idel
!$omp end parallel workshare
- il = 6
+ il = 6 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
+ or = ni - offset(2)
!$omp parallel workshare
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(5,5) * var(ni-4,:,:) + q(6,5) * var(ni-5,:,:) + &
- q(7,5) * var(ni-6,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(4,4) * var(ni-3,:,:) + &
- q(5,4) * var(ni-4,:,:) + q(6,4) * var(ni-5,:,:) + &
- q(7,4) * var(ni-6,:,:) ) * idel
- dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + q(2,3) * var(ni-1,:,:) + &
- q(3,3) * var(ni-2,:,:) + q(4,3) * var(ni-3,:,:) + &
- q(5,3) * var(ni-4,:,:) + q(6,3) * var(ni-5,:,:) + &
- q(7,3) * var(ni-6,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(2,2) * var(ni-1,:,:) + &
- q(3,2) * var(ni-2,:,:) + q(4,2) * var(ni-3,:,:) + &
- q(5,2) * var(ni-4,:,:) + q(6,2) * var(ni-5,:,:) + &
- q(7,2) * var(ni-6,:,:) ) * 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,:,:) + &
- q(5,1) * var(ni-4,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(5,5) * var(or-4,:,:) + q(6,5) * var(or-5,:,:) + &
+ q(7,5) * var(or-6,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(4,4) * var(or-3,:,:) + &
+ q(5,4) * var(or-4,:,:) + q(6,4) * var(or-5,:,:) + &
+ q(7,4) * var(or-6,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(3,3) * var(or-2,:,:) + q(4,3) * var(or-3,:,:) + &
+ q(5,3) * var(or-4,:,:) + q(6,3) * var(or-5,:,:) + &
+ q(7,3) * var(or-6,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(2,2) * var(or-1,:,:) + &
+ q(3,2) * var(or-2,:,:) + q(4,2) * var(or-3,:,:) + &
+ q(5,2) * var(or-4,:,:) + q(6,2) * var(or-5,:,:) + &
+ q(7,2) * var(or-6,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) ) * idel
!$omp end parallel workshare
- ir = ni - 5
+ ir = or - 5
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
@@ -104,54 +107,56 @@ subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(:,1,:) = ( q(1,1) * var(:,1,:) + q(2,1) * var(:,2,:) + &
- q(3,1) * var(:,3,:) + q(4,1) * var(:,4,:) + &
- q(5,1) * var(:,5,:) ) * idel
- dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(2,2) * var(:,2,:) + &
- q(3,2) * var(:,3,:) + q(4,2) * var(:,4,:) + &
- q(5,2) * var(:,5,:) + q(6,2) * var(:,6,:) + &
- q(7,2) * var(:,7,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + &
- q(5,3) * var(:,5,:) + q(6,3) * var(:,6,:) + &
- q(7,3) * var(:,7,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(4,4) * var(:,4,:) + &
- q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) + &
- q(7,4) * var(:,7,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(5,5) * var(:,5,:) + q(6,5) * var(:,6,:) + &
- q(7,5) * var(:,7,:) ) * idel
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
+ q(5,1) * var(:,5+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(2,2) * var(:,2+ol,:) + &
+ q(3,2) * var(:,3+ol,:) + q(4,2) * var(:,4+ol,:) + &
+ q(5,2) * var(:,5+ol,:) + q(6,2) * var(:,6+ol,:) + &
+ q(7,2) * var(:,7+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(3,3) * var(:,3+ol,:) + q(4,3) * var(:,4+ol,:) + &
+ q(5,3) * var(:,5+ol,:) + q(6,3) * var(:,6+ol,:) + &
+ q(7,3) * var(:,7+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(4,4) * var(:,4+ol,:) + &
+ q(5,4) * var(:,5+ol,:) + q(6,4) * var(:,6+ol,:) + &
+ q(7,4) * var(:,7+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(5,5) * var(:,5+ol,:) + q(6,5) * var(:,6+ol,:) + &
+ q(7,5) * var(:,7+ol,:) ) * idel
!$omp end parallel workshare
- jl = 6
+ jl = 6 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
+ or = nj - offset(2)
!$omp parallel workshare
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(5,5) * var(:,nj-4,:) + q(6,5) * var(:,nj-5,:) + &
- q(7,5) * var(:,nj-6,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(4,4) * var(:,nj-3,:) + &
- q(5,4) * var(:,nj-4,:) + q(6,4) * var(:,nj-5,:) + &
- q(7,4) * var(:,nj-6,:) ) * idel
- dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + q(2,3) * var(:,nj-1,:) + &
- q(3,3) * var(:,nj-2,:) + q(4,3) * var(:,nj-3,:) + &
- q(5,3) * var(:,nj-4,:) + q(6,3) * var(:,nj-5,:) + &
- q(7,3) * var(:,nj-6,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(2,2) * var(:,nj-1,:) + &
- q(3,2) * var(:,nj-2,:) + q(4,2) * var(:,nj-3,:) + &
- q(5,2) * var(:,nj-4,:) + q(6,2) * var(:,nj-5,:) + &
- q(7,2) * var(:,nj-6,:) ) * 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,:) + &
- q(5,1) * var(:,nj-4,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(5,5) * var(:,or-4,:) + q(6,5) * var(:,or-5,:) + &
+ q(7,5) * var(:,or-6,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(4,4) * var(:,or-3,:) + &
+ q(5,4) * var(:,or-4,:) + q(6,4) * var(:,or-5,:) + &
+ q(7,4) * var(:,or-6,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(3,3) * var(:,or-2,:) + q(4,3) * var(:,or-3,:) + &
+ q(5,3) * var(:,or-4,:) + q(6,3) * var(:,or-5,:) + &
+ q(7,3) * var(:,or-6,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(2,2) * var(:,or-1,:) + &
+ q(3,2) * var(:,or-2,:) + q(4,2) * var(:,or-3,:) + &
+ q(5,2) * var(:,or-4,:) + q(6,2) * var(:,or-5,:) + &
+ q(7,2) * var(:,or-6,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) ) * idel
!$omp end parallel workshare
- jr = nj - 5
+ jr = or - 5
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -166,54 +171,56 @@ subroutine deriv_gf_4_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
+ ol = offset(1)
!$omp parallel workshare
- dvar(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) + &
- q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) + &
- q(5,1) * var(:,:,5) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + &
- q(3,2) * var(:,:,3) + q(4,2) * var(:,:,4) + &
- q(5,2) * var(:,:,5) + q(6,2) * var(:,:,6) + &
- q(7,2) * var(:,:,7) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + &
- q(5,3) * var(:,:,5) + q(6,3) * var(:,:,6) + &
- q(7,3) * var(:,:,7) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(4,4) * var(:,:,4) + &
- q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) + &
- q(7,4) * var(:,:,7) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(5,5) * var(:,:,5) + q(6,5) * var(:,:,6) + &
- q(7,5) * var(:,:,7) ) * idel
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
+ q(5,1) * var(:,:,5+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(2,2) * var(:,:,2+ol) + &
+ q(3,2) * var(:,:,3+ol) + q(4,2) * var(:,:,4+ol) + &
+ q(5,2) * var(:,:,5+ol) + q(6,2) * var(:,:,6+ol) + &
+ q(7,2) * var(:,:,7+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(3,3) * var(:,:,3+ol) + q(4,3) * var(:,:,4+ol) + &
+ q(5,3) * var(:,:,5+ol) + q(6,3) * var(:,:,6+ol) + &
+ q(7,3) * var(:,:,7+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(4,4) * var(:,:,4+ol) + &
+ q(5,4) * var(:,:,5+ol) + q(6,4) * var(:,:,6+ol) + &
+ q(7,4) * var(:,:,7+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(5,5) * var(:,:,5+ol) + q(6,5) * var(:,:,6+ol) + &
+ q(7,5) * var(:,:,7+ol) ) * idel
!$omp end parallel workshare
- kl = 6
+ kl = 6 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
+ or = nk - offset(2)
!$omp parallel workshare
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(5,5) * var(:,:,nk-4) + q(6,5) * var(:,:,nk-5) + &
- q(7,5) * var(:,:,nk-6) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(4,4) * var(:,:,nk-3) + &
- q(5,4) * var(:,:,nk-4) + q(6,4) * var(:,:,nk-5) + &
- q(7,4) * var(:,:,nk-6) ) * idel
- dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + q(2,3) * var(:,:,nk-1) + &
- q(3,3) * var(:,:,nk-2) + q(4,3) * var(:,:,nk-3) + &
- q(5,3) * var(:,:,nk-4) + q(6,3) * var(:,:,nk-5) + &
- q(7,3) * var(:,:,nk-6) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(2,2) * var(:,:,nk-1) + &
- q(3,2) * var(:,:,nk-2) + q(4,2) * var(:,:,nk-3) + &
- q(5,2) * var(:,:,nk-4) + q(6,2) * var(:,:,nk-5) + &
- q(7,2) * var(:,:,nk-6) ) * 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) + &
- q(5,1) * var(:,:,nk-4) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(5,5) * var(:,:,or-4) + q(6,5) * var(:,:,or-5) + &
+ q(7,5) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(4,4) * var(:,:,or-3) + &
+ q(5,4) * var(:,:,or-4) + q(6,4) * var(:,:,or-5) + &
+ q(7,4) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(3,3) * var(:,:,or-2) + q(4,3) * var(:,:,or-3) + &
+ q(5,3) * var(:,:,or-4) + q(6,3) * var(:,:,or-5) + &
+ q(7,3) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(2,2) * var(:,:,or-1) + &
+ q(3,2) * var(:,:,or-2) + q(4,2) * var(:,:,or-3) + &
+ q(5,2) * var(:,:,or-4) + q(6,2) * var(:,:,or-5) + &
+ q(7,2) * var(:,:,or-6) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) ) * idel
!$omp end parallel workshare
- kr = nk - 5
+ kr = or - 5
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
!$omp parallel workshare
diff --git a/src/Derivatives_6_3.F90 b/src/Derivatives_6_3.F90
index e194482..e2faeba 100644
--- a/src/Derivatives_6_3.F90
+++ b/src/Derivatives_6_3.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(9,6), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,53 +42,55 @@ subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:,:) + &
- q(5,1) * var(5,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) + &
- q(4,2) * var(4,:,:) + q(5,2) * var(5,:,:) + &
- q(6,2) * var(6,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) + &
- q(6,3) * var(6,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(5,4) * var(5,:,:) + &
- q(6,4) * var(6,:,:) + q(7,4) * var(7,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(6,5) * var(6,:,:) + q(7,5) * var(7,:,:) + &
- q(8,5) * var(8,:,:) ) * idel
- dvar(6,:,:) = ( q(2,6) * var(2,:,:) + q(3,6) * var(3,:,:) + &
- q(4,6) * var(4,:,:) + q(5,6) * var(5,:,:) + &
- q(7,6) * var(7,:,:) + q(8,6) * var(8,:,:) + &
- q(9,6) * var(9,:,:) ) * idel
- il = 7
+ ol = offset(1)
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(3,2) * var(3+ol,:,:) + &
+ q(4,2) * var(4+ol,:,:) + q(5,2) * var(5+ol,:,:) + &
+ q(6,2) * var(6+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(4,3) * var(4+ol,:,:) + q(5,3) * var(5+ol,:,:) + &
+ q(6,3) * var(6+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(5,4) * var(5+ol,:,:) + &
+ q(6,4) * var(6+ol,:,:) + q(7,4) * var(7+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(6,5) * var(6+ol,:,:) + q(7,5) * var(7+ol,:,:) + &
+ q(8,5) * var(8+ol,:,:) ) * idel
+ dvar(6+ol,:,:) = ( q(2,6) * var(2+ol,:,:) + q(3,6) * var(3+ol,:,:) + &
+ q(4,6) * var(4+ol,:,:) + q(5,6) * var(5+ol,:,:) + &
+ q(7,6) * var(7+ol,:,:) + q(8,6) * var(8+ol,:,:) + &
+ q(9,6) * var(9+ol,:,:) ) * idel
+ il = 7 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
- 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,:,:) + &
- q(5,1) * var(ni-4,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(3,2) * var(ni-2,:,:) + &
- q(4,2) * var(ni-3,:,:) + q(5,2) * var(ni-4,:,:) + &
- q(6,2) * 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,:,:) + &
- q(6,3) * var(ni-5,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(5,4) * var(ni-4,:,:) + &
- q(6,4) * var(ni-5,:,:) + &
- q(7,4) * var(ni-6,:,:) ) * idel
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(6,5) * var(ni-5,:,:) + q(7,5) * var(ni-6,:,:) + &
- q(8,5) * var(ni-7,:,:) ) * idel
- dvar(ni-5,:,:) = - ( q(2,6) * var(ni-1,:,:) + q(3,6) * var(ni-2,:,:) + &
- q(4,6) * var(ni-3,:,:) + q(5,6) * var(ni-4,:,:) + &
- q(7,6) * var(ni-6,:,:) + q(8,6) * var(ni-7,:,:) + &
- q(9,6) * var(ni-8,:,:) ) * idel
- ir = ni - 6
+ or = ni - offset(2)
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(3,2) * var(or-2,:,:) + &
+ q(4,2) * var(or-3,:,:) + q(5,2) * var(or-4,:,:) + &
+ q(6,2) * var(or-5,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(4,3) * var(or-3,:,:) + q(5,3) * var(or-4,:,:) + &
+ q(6,3) * var(or-5,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(5,4) * var(or-4,:,:) + &
+ q(6,4) * var(or-5,:,:) + &
+ q(7,4) * var(or-6,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(6,5) * var(or-5,:,:) + q(7,5) * var(or-6,:,:) + &
+ q(8,5) * var(or-7,:,:) ) * idel
+ dvar(or-5,:,:) = - ( q(2,6) * var(or-1,:,:) + q(3,6) * var(or-2,:,:) + &
+ q(4,6) * var(or-3,:,:) + q(5,6) * var(or-4,:,:) + &
+ q(7,6) * var(or-6,:,:) + q(8,6) * var(or-7,:,:) + &
+ q(9,6) * var(or-8,:,:) ) * idel
+ ir = or - 6
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - &
@@ -102,54 +105,56 @@ subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:) + &
- q(5,1) * var(:,5,:) ) * idel
- dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) + &
- q(4,2) * var(:,4,:) + q(5,2) * var(:,5,:) + &
- q(6,2) * var(:,6,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) + &
- q(6,3) * var(:,6,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(5,4) * var(:,5,:) + &
- q(6,4) * var(:,6,:) + q(7,4) * var(:,7,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(6,5) * var(:,6,:) + q(7,5) * var(:,7,:) + &
- q(8,5) * var(:,8,:) ) * idel
- dvar(:,6,:) = ( q(2,6) * var(:,2,:) + q(3,6) * var(:,3,:) + &
- q(4,6) * var(:,4,:) + q(5,6) * var(:,5,:) + &
- q(7,6) * var(:,7,:) + q(8,6) * var(:,8,:) + &
- q(9,6) * var(:,9,:) ) * idel
- jl = 7
+ else
+ ol = offset(1)
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
+ q(5,1) * var(:,5+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(3,2) * var(:,3+ol,:) + &
+ q(4,2) * var(:,4+ol,:) + q(5,2) * var(:,5+ol,:) + &
+ q(6,2) * var(:,6+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(4,3) * var(:,4+ol,:) + q(5,3) * var(:,5+ol,:) + &
+ q(6,3) * var(:,6+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(5,4) * var(:,5+ol,:) + &
+ q(6,4) * var(:,6+ol,:) + q(7,4) * var(:,7+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(6,5) * var(:,6+ol,:) + q(7,5) * var(:,7+ol,:) + &
+ q(8,5) * var(:,8+ol,:) ) * idel
+ dvar(:,6+ol,:) = ( q(2,6) * var(:,2+ol,:) + q(3,6) * var(:,3+ol,:) + &
+ q(4,6) * var(:,4+ol,:) + q(5,6) * var(:,5+ol,:) + &
+ q(7,6) * var(:,7+ol,:) + q(8,6) * var(:,8+ol,:) + &
+ q(9,6) * var(:,9+ol,:) ) * idel
+ jl = 7 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
- 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,:) + &
- q(5,1) * var(:,nj-4,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(3,2) * var(:,nj-2,:) + &
- q(4,2) * var(:,nj-3,:) + q(5,2) * var(:,nj-4,:) + &
- q(6,2) * 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,:) + &
- q(6,3) * var(:,nj-5,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(5,4) * var(:,nj-4,:) + &
- q(6,4) * var(:,nj-5,:) + &
- q(7,4) * var(:,nj-6,:) ) * idel
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(6,5) * var(:,nj-5,:) + q(7,5) * var(:,nj-6,:) + &
- q(8,5) * var(:,nj-7,:) ) * idel
- dvar(:,nj-5,:) = - ( q(2,6) * var(:,nj-1,:) + q(3,6) * var(:,nj-2,:) + &
- q(4,6) * var(:,nj-3,:) + q(5,6) * var(:,nj-4,:) + &
- q(7,6) * var(:,nj-6,:) + q(8,6) * var(:,nj-7,:) + &
- q(9,6) * var(:,nj-8,:) ) * idel
- jr = nj - 6
+ or = nj - offset(2)
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(3,2) * var(:,or-2,:) + &
+ q(4,2) * var(:,or-3,:) + q(5,2) * var(:,or-4,:) + &
+ q(6,2) * var(:,or-5,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(4,3) * var(:,or-3,:) + q(5,3) * var(:,or-4,:) + &
+ q(6,3) * var(:,or-5,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(5,4) * var(:,or-4,:) + &
+ q(6,4) * var(:,or-5,:) + &
+ q(7,4) * var(:,or-6,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(6,5) * var(:,or-5,:) + q(7,5) * var(:,or-6,:) + &
+ q(8,5) * var(:,or-7,:) ) * idel
+ dvar(:,or-5,:) = - ( q(2,6) * var(:,or-1,:) + q(3,6) * var(:,or-2,:) + &
+ q(4,6) * var(:,or-3,:) + q(5,6) * var(:,or-4,:) + &
+ q(7,6) * var(:,or-6,:) + q(8,6) * var(:,or-7,:) + &
+ q(9,6) * var(:,or-8,:) ) * idel
+ jr = or - 6
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -166,53 +171,55 @@ subroutine deriv_gf_6_3 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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) + &
- q(5,1) * var(:,:,5) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) + &
- q(4,2) * var(:,:,4) + q(5,2) * var(:,:,5) + &
- q(6,2) * var(:,:,6) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) + &
- q(6,3) * var(:,:,6) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(5,4) * var(:,:,5) + &
- q(6,4) * var(:,:,6) + q(7,4) * var(:,:,7) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(6,5) * var(:,:,6) + q(7,5) * var(:,:,7) + &
- q(8,5) * var(:,:,8) ) * idel
- dvar(:,:,6) = ( q(2,6) * var(:,:,2) + q(3,6) * var(:,:,3) + &
- q(4,6) * var(:,:,4) + q(5,6) * var(:,:,5) + &
- q(7,6) * var(:,:,7) + q(8,6) * var(:,:,8) + &
- q(9,6) * var(:,:,9) ) * idel
- kl = 7
+ ol = offset(1)
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
+ q(5,1) * var(:,:,5+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(3,2) * var(:,:,3+ol) + &
+ q(4,2) * var(:,:,4+ol) + q(5,2) * var(:,:,5+ol) + &
+ q(6,2) * var(:,:,6+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(4,3) * var(:,:,4+ol) + q(5,3) * var(:,:,5+ol) + &
+ q(6,3) * var(:,:,6+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(5,4) * var(:,:,5+ol) + &
+ q(6,4) * var(:,:,6+ol) + q(7,4) * var(:,:,7+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(6,5) * var(:,:,6+ol) + q(7,5) * var(:,:,7+ol) + &
+ q(8,5) * var(:,:,8+ol) ) * idel
+ dvar(:,:,6+ol) = ( q(2,6) * var(:,:,2+ol) + q(3,6) * var(:,:,3+ol) + &
+ q(4,6) * var(:,:,4+ol) + q(5,6) * var(:,:,5+ol) + &
+ q(7,6) * var(:,:,7+ol) + q(8,6) * var(:,:,8+ol) + &
+ q(9,6) * var(:,:,9+ol) ) * idel
+ kl = 7 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
- 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) + &
- q(5,1) * var(:,:,nk-4) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(3,2) * var(:,:,nk-2) + &
- q(4,2) * var(:,:,nk-3) + q(5,2) * var(:,:,nk-4) + &
- q(6,2) * 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) + &
- q(6,3) * var(:,:,nk-5) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(5,4) * var(:,:,nk-4) + &
- q(6,4) * var(:,:,nk-5) + &
- q(7,4) * var(:,:,nk-6) ) * idel
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(6,5) * var(:,:,nk-5) + q(7,5) * var(:,:,nk-6) + &
- q(8,5) * var(:,:,nk-7) ) * idel
- dvar(:,:,nk-5) = - ( q(2,6) * var(:,:,nk-1) + q(3,6) * var(:,:,nk-2) + &
- q(4,6) * var(:,:,nk-3) + q(5,6) * var(:,:,nk-4) + &
- q(7,6) * var(:,:,nk-6) + q(8,6) * var(:,:,nk-7) + &
- q(9,6) * var(:,:,nk-8) ) * idel
- kr = nk - 6
+ or = nk - offset(2)
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(3,2) * var(:,:,or-2) + &
+ q(4,2) * var(:,:,or-3) + q(5,2) * var(:,:,or-4) + &
+ q(6,2) * var(:,:,or-5) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(4,3) * var(:,:,or-3) + q(5,3) * var(:,:,or-4) + &
+ q(6,3) * var(:,:,or-5) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(5,4) * var(:,:,or-4) + &
+ q(6,4) * var(:,:,or-5) + &
+ q(7,4) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(6,5) * var(:,:,or-5) + q(7,5) * var(:,:,or-6) + &
+ q(8,5) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-5) = - ( q(2,6) * var(:,:,or-1) + q(3,6) * var(:,:,or-2) + &
+ q(4,6) * var(:,:,or-3) + q(5,6) * var(:,:,or-4) + &
+ q(7,6) * var(:,:,or-6) + q(8,6) * var(:,:,or-7) + &
+ q(9,6) * var(:,:,or-8) ) * idel
+ kr = or - 6
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - &
diff --git a/src/Derivatives_6_3_min_err_coeff.F90 b/src/Derivatives_6_3_min_err_coeff.F90
index bf8b8f2..6a49e24 100644
--- a/src/Derivatives_6_3_min_err_coeff.F90
+++ b/src/Derivatives_6_3_min_err_coeff.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(9,6), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,57 +42,59 @@ subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:,:) + &
- q(5,1) * var(5,:,:) + q(6,1) * var(6,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) + &
- q(4,2) * var(4,:,:) + q(5,2) * var(5,:,:) + &
- q(6,2) * var(6,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) + &
- q(6,3) * var(6,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(5,4) * var(5,:,:) + &
- q(6,4) * var(6,:,:) + q(7,4) * var(7,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(6,5) * var(6,:,:) + q(7,5) * var(7,:,:) + &
- q(8,5) * var(8,:,:) ) * idel
- dvar(6,:,:) = ( q(1,6) * var(1,:,:) + q(2,6) * var(2,:,:) + &
- q(3,6) * var(3,:,:) + q(4,6) * var(4,:,:) + &
- q(5,6) * var(5,:,:) + q(7,6) * var(7,:,:) + &
- q(8,6) * var(8,:,:) + q(9,6) * var(9,:,:) ) * idel
+ ol = offset(1)
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) + q(6,1) * var(6+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(3,2) * var(3+ol,:,:) + &
+ q(4,2) * var(4+ol,:,:) + q(5,2) * var(5+ol,:,:) + &
+ q(6,2) * var(6+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(4,3) * var(4+ol,:,:) + q(5,3) * var(5+ol,:,:) + &
+ q(6,3) * var(6+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(5,4) * var(5+ol,:,:) + &
+ q(6,4) * var(6+ol,:,:) + q(7,4) * var(7+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(6,5) * var(6+ol,:,:) + q(7,5) * var(7+ol,:,:) + &
+ q(8,5) * var(8+ol,:,:) ) * idel
+ dvar(6+ol,:,:) = ( q(1,6) * var(1+ol,:,:) + q(2,6) * var(2+ol,:,:) + &
+ q(3,6) * var(3+ol,:,:) + q(4,6) * var(4+ol,:,:) + &
+ q(5,6) * var(5+ol,:,:) + q(7,6) * var(7+ol,:,:) + &
+ q(8,6) * var(8+ol,:,:) + q(9,6) * var(9+ol,:,:) ) * idel
- il = 7
+ il = 7 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
- dvar(ni-5,:,:) = - ( q(1,6) * var(ni,:,:) + q(2,6) * var(ni-1,:,:) + &
- q(3,6) * var(ni-2,:,:) + q(4,6) * var(ni-3,:,:) + &
- q(5,6) * var(ni-4,:,:) + q(7,6) * var(ni-6,:,:) + &
- q(8,6) * var(ni-7,:,:) + &
- q(9,6) * var(ni-8,:,:) ) * idel
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(6,5) * var(ni-5,:,:) + q(7,5) * var(ni-6,:,:) + &
- q(8,5) * var(ni-7,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(5,4) * var(ni-4,:,:) + &
- q(6,4) * var(ni-5,:,:) + &
- q(7,4) * var(ni-6,:,:) ) * 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,:,:) + &
- q(6,3) * var(ni-5,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(3,2) * var(ni-2,:,:) + &
- q(4,2) * var(ni-3,:,:) + q(5,2) * var(ni-4,:,:) + &
- q(6,2) * var(ni-5,:,:) ) * 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,:,:) + &
- q(5,1) * var(ni-4,:,:) + &
- q(6,1) * var(ni-5,:,:) ) * idel
+ or = ni - offset(2)
+ dvar(or-5,:,:) = - ( q(1,6) * var(or,:,:) + q(2,6) * var(or-1,:,:) + &
+ q(3,6) * var(or-2,:,:) + q(4,6) * var(or-3,:,:) + &
+ q(5,6) * var(or-4,:,:) + q(7,6) * var(or-6,:,:) + &
+ q(8,6) * var(or-7,:,:) + &
+ q(9,6) * var(or-8,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(6,5) * var(or-5,:,:) + q(7,5) * var(or-6,:,:) + &
+ q(8,5) * var(or-7,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(5,4) * var(or-4,:,:) + &
+ q(6,4) * var(or-5,:,:) + &
+ q(7,4) * var(or-6,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(4,3) * var(or-3,:,:) + q(5,3) * var(or-4,:,:) + &
+ q(6,3) * var(or-5,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(3,2) * var(or-2,:,:) + &
+ q(4,2) * var(or-3,:,:) + q(5,2) * var(or-4,:,:) + &
+ q(6,2) * var(or-5,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) + &
+ q(6,1) * var(or-5,:,:) ) * idel
- ir = ni - 6
+ ir = or - 6
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - &
@@ -107,57 +110,59 @@ subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:) + &
- q(5,1) * var(:,5,:) + q(6,1) * var(:,6,:) ) * idel
- dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) + &
- q(4,2) * var(:,4,:) + q(5,2) * var(:,5,:) + &
- q(6,2) * var(:,6,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) + &
- q(6,3) * var(:,6,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(5,4) * var(:,5,:) + &
- q(6,4) * var(:,6,:) + q(7,4) * var(:,7,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(6,5) * var(:,6,:) + q(7,5) * var(:,7,:) + &
- q(8,5) * var(:,8,:) ) * idel
- dvar(:,6,:) = ( q(1,6) * var(:,1,:) + q(2,6) * var(:,2,:) + &
- q(3,6) * var(:,3,:) + q(4,6) * var(:,4,:) + &
- q(5,6) * var(:,5,:) + q(7,6) * var(:,7,:) + &
- q(8,6) * var(:,8,:) + q(9,6) * var(:,9,:) ) * idel
+ ol = offset(1)
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
+ q(5,1) * var(:,5+ol,:) + q(6,1) * var(:,6+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(3,2) * var(:,3+ol,:) + &
+ q(4,2) * var(:,4+ol,:) + q(5,2) * var(:,5+ol,:) + &
+ q(6,2) * var(:,6+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(4,3) * var(:,4+ol,:) + q(5,3) * var(:,5+ol,:) + &
+ q(6,3) * var(:,6+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(5,4) * var(:,5+ol,:) + &
+ q(6,4) * var(:,6+ol,:) + q(7,4) * var(:,7+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(6,5) * var(:,6+ol,:) + q(7,5) * var(:,7+ol,:) + &
+ q(8,5) * var(:,8+ol,:) ) * idel
+ dvar(:,6+ol,:) = ( q(1,6) * var(:,1+ol,:) + q(2,6) * var(:,2+ol,:) + &
+ q(3,6) * var(:,3+ol,:) + q(4,6) * var(:,4+ol,:) + &
+ q(5,6) * var(:,5+ol,:) + q(7,6) * var(:,7+ol,:) + &
+ q(8,6) * var(:,8+ol,:) + q(9,6) * var(:,9+ol,:) ) * idel
- jl = 7
+ jl = 7 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
- dvar(:,nj-5,:) = - ( q(1,6) * var(:,nj,:) + q(2,6) * var(:,nj-1,:) + &
- q(3,6) * var(:,nj-2,:) + q(4,6) * var(:,nj-3,:) + &
- q(5,6) * var(:,nj-4,:) + q(7,6) * var(:,nj-6,:) + &
- q(8,6) * var(:,nj-7,:) + &
- q(9,6) * var(:,nj-8,:) ) * idel
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(6,5) * var(:,nj-5,:) + q(7,5) * var(:,nj-6,:) + &
- q(8,5) * var(:,nj-7,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(5,4) * var(:,nj-4,:) + &
- q(6,4) * var(:,nj-5,:) + &
- q(7,4) * var(:,nj-6,:) ) * 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,:) + &
- q(6,3) * var(:,nj-5,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(3,2) * var(:,nj-2,:) + &
- q(4,2) * var(:,nj-3,:) + q(5,2) * var(:,nj-4,:) + &
- q(6,2) * var(:,nj-5,:) ) * 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,:) + &
- q(5,1) * var(:,nj-4,:) + &
- q(6,1) * var(:,nj-5,:) ) * idel
+ or = nj - offset(2)
+ dvar(:,or-5,:) = - ( q(1,6) * var(:,or,:) + q(2,6) * var(:,or-1,:) + &
+ q(3,6) * var(:,or-2,:) + q(4,6) * var(:,or-3,:) + &
+ q(5,6) * var(:,or-4,:) + q(7,6) * var(:,or-6,:) + &
+ q(8,6) * var(:,or-7,:) + &
+ q(9,6) * var(:,or-8,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(6,5) * var(:,or-5,:) + q(7,5) * var(:,or-6,:) + &
+ q(8,5) * var(:,or-7,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(5,4) * var(:,or-4,:) + &
+ q(6,4) * var(:,or-5,:) + &
+ q(7,4) * var(:,or-6,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(4,3) * var(:,or-3,:) + q(5,3) * var(:,or-4,:) + &
+ q(6,3) * var(:,or-5,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(3,2) * var(:,or-2,:) + &
+ q(4,2) * var(:,or-3,:) + q(5,2) * var(:,or-4,:) + &
+ q(6,2) * var(:,or-5,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) + &
+ q(6,1) * var(:,or-5,:) ) * idel
- jr = nj - 6
+ jr = or - 6
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -174,57 +179,59 @@ subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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) + &
- q(5,1) * var(:,:,5) + q(6,1) * var(:,:,6) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) + &
- q(4,2) * var(:,:,4) + q(5,2) * var(:,:,5) + &
- q(6,2) * var(:,:,6) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) + &
- q(6,3) * var(:,:,6) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(5,4) * var(:,:,5) + &
- q(6,4) * var(:,:,6) + q(7,4) * var(:,:,7) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(6,5) * var(:,:,6) + q(7,5) * var(:,:,7) + &
- q(8,5) * var(:,:,8) ) * idel
- dvar(:,:,6) = ( q(1,6) * var(:,:,1) + q(2,6) * var(:,:,2) + &
- q(3,6) * var(:,:,3) + q(4,6) * var(:,:,4) + &
- q(5,6) * var(:,:,5) + q(7,6) * var(:,:,7) + &
- q(8,6) * var(:,:,8) + q(9,6) * var(:,:,9) ) * idel
+ ol = offset(1)
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
+ q(5,1) * var(:,:,5+ol) + q(6,1) * var(:,:,6+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(3,2) * var(:,:,3+ol) + &
+ q(4,2) * var(:,:,4+ol) + q(5,2) * var(:,:,5+ol) + &
+ q(6,2) * var(:,:,6+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(4,3) * var(:,:,4+ol) + q(5,3) * var(:,:,5+ol) + &
+ q(6,3) * var(:,:,6+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(5,4) * var(:,:,5+ol) + &
+ q(6,4) * var(:,:,6+ol) + q(7,4) * var(:,:,7+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(6,5) * var(:,:,6+ol) + q(7,5) * var(:,:,7+ol) + &
+ q(8,5) * var(:,:,8+ol) ) * idel
+ dvar(:,:,6+ol) = ( q(1,6) * var(:,:,1+ol) + q(2,6) * var(:,:,2+ol) + &
+ q(3,6) * var(:,:,3+ol) + q(4,6) * var(:,:,4+ol) + &
+ q(5,6) * var(:,:,5+ol) + q(7,6) * var(:,:,7+ol) + &
+ q(8,6) * var(:,:,8+ol) + q(9,6) * var(:,:,9+ol) ) * idel
- kl = 7
+ kl = 7 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
- dvar(:,:,nk-5) = - ( q(1,6) * var(:,:,nk) + q(2,6) * var(:,:,nk-1) + &
- q(3,6) * var(:,:,nk-2) + q(4,6) * var(:,:,nk-3) + &
- q(5,6) * var(:,:,nk-4) + q(7,6) * var(:,:,nk-6) + &
- q(8,6) * var(:,:,nk-7) + &
- q(9,6) * var(:,:,nk-8) ) * idel
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(6,5) * var(:,:,nk-5) + q(7,5) * var(:,:,nk-6) + &
- q(8,5) * var(:,:,nk-7) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(5,4) * var(:,:,nk-4) + &
- q(6,4) * var(:,:,nk-5) + &
- q(7,4) * var(:,:,nk-6) ) * 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) + &
- q(6,3) * var(:,:,nk-5) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(3,2) * var(:,:,nk-2) + &
- q(4,2) * var(:,:,nk-3) + q(5,2) * var(:,:,nk-4) + &
- q(6,2) * var(:,:,nk-5) ) * 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) + &
- q(5,1) * var(:,:,nk-4) + &
- q(6,1) * var(:,:,nk-5) ) * idel
+ or = nk - offset(2)
+ dvar(:,:,or-5) = - ( q(1,6) * var(:,:,or) + q(2,6) * var(:,:,or-1) + &
+ q(3,6) * var(:,:,or-2) + q(4,6) * var(:,:,or-3) + &
+ q(5,6) * var(:,:,or-4) + q(7,6) * var(:,:,or-6) + &
+ q(8,6) * var(:,:,or-7) + &
+ q(9,6) * var(:,:,or-8) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(6,5) * var(:,:,or-5) + q(7,5) * var(:,:,or-6) + &
+ q(8,5) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(5,4) * var(:,:,or-4) + &
+ q(6,4) * var(:,:,or-5) + &
+ q(7,4) * var(:,:,or-6) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(4,3) * var(:,:,or-3) + q(5,3) * var(:,:,or-4) + &
+ q(6,3) * var(:,:,or-5) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(3,2) * var(:,:,or-2) + &
+ q(4,2) * var(:,:,or-3) + q(5,2) * var(:,:,or-4) + &
+ q(6,2) * var(:,:,or-5) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) + &
+ q(6,1) * var(:,:,or-5) ) * idel
- kr = nk - 6
+ kr = or - 6
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - &
diff --git a/src/Derivatives_6_5.F90 b/src/Derivatives_6_5.F90
index 81acac7..ba5efed 100644
--- a/src/Derivatives_6_5.F90
+++ b/src/Derivatives_6_5.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(10,7), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,82 +42,84 @@ subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:,:) + &
- q(5,1) * var(5,:,:) + q(6,1) * var(6,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + &
- q(3,2) * var(3,:,:) + q(4,2) * var(4,:,:) + &
- q(5,2) * var(5,:,:) + q(6,2) * var(6,:,:) + &
- q(7,2) * var(7,:,:) + q(8,2) * var(8,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + &
- q(5,3) * var(5,:,:) + q(6,3) * var(6,:,:) + &
- q(7,3) * var(7,:,:) + q(8,3) * var(8,:,:) + &
- q(9,3) * var(9,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(4,4) * var(4,:,:) + &
- q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) + &
- q(7,4) * var(7,:,:) + q(8,4) * var(8,:,:) + &
- q(9,4) * var(9,:,:) + q(10,4) * var(10,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(5,5) * var(5,:,:) + q(6,5) * var(6,:,:) + &
- q(7,5) * var(7,:,:) + q(8,5) * var(8,:,:) + &
- q(9,5) * var(9,:,:) + q(10,5) * var(10,:,:) ) * idel
- dvar(6,:,:) = ( q(1,6) * var(1,:,:) + q(2,6) * var(2,:,:) + &
- q(3,6) * var(3,:,:) + q(4,6) * var(4,:,:) + &
- q(5,6) * var(5,:,:) + q(6,6) * var(6,:,:) + &
- q(7,6) * var(7,:,:) + q(8,6) * var(8,:,:) + &
- q(9,6) * var(9,:,:) + q(10,6) * var(10,:,:) ) * idel
- dvar(7,:,:) = ( q(1,7) * var(1,:,:) + q(2,7) * var(2,:,:) + &
- q(3,7) * var(3,:,:) + q(4,7) * var(4,:,:) + &
- q(5,7) * var(5,:,:) + q(6,7) * var(6,:,:) + &
- q(7,7) * var(7,:,:) + q(8,7) * var(8,:,:) + &
- q(9,7) * var(9,:,:) + q(10,7) * var(10,:,:) ) * idel
- il = 8
+ ol = offset(1)
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) + q(6,1) * var(6+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(2,2) * var(2+ol,:,:) + &
+ q(3,2) * var(3+ol,:,:) + q(4,2) * var(4+ol,:,:) + &
+ q(5,2) * var(5+ol,:,:) + q(6,2) * var(6+ol,:,:) + &
+ q(7,2) * var(7+ol,:,:) + q(8,2) * var(8+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(3,3) * var(3+ol,:,:) + q(4,3) * var(4+ol,:,:) + &
+ q(5,3) * var(5+ol,:,:) + q(6,3) * var(6+ol,:,:) + &
+ q(7,3) * var(7+ol,:,:) + q(8,3) * var(8+ol,:,:) + &
+ q(9,3) * var(9+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(4,4) * var(4+ol,:,:) + &
+ q(5,4) * var(5+ol,:,:) + q(6,4) * var(6+ol,:,:) + &
+ q(7,4) * var(7+ol,:,:) + q(8,4) * var(8+ol,:,:) + &
+ q(9,4) * var(9+ol,:,:) + q(10,4) * var(10+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(5,5) * var(5+ol,:,:) + q(6,5) * var(6+ol,:,:) + &
+ q(7,5) * var(7+ol,:,:) + q(8,5) * var(8+ol,:,:) + &
+ q(9,5) * var(9+ol,:,:) + q(10,5) * var(10+ol,:,:) ) * idel
+ dvar(6+ol,:,:) = ( q(1,6) * var(1+ol,:,:) + q(2,6) * var(2+ol,:,:) + &
+ q(3,6) * var(3+ol,:,:) + q(4,6) * var(4+ol,:,:) + &
+ q(5,6) * var(5+ol,:,:) + q(6,6) * var(6+ol,:,:) + &
+ q(7,6) * var(7+ol,:,:) + q(8,6) * var(8+ol,:,:) + &
+ q(9,6) * var(9+ol,:,:) + q(10,6) * var(10+ol,:,:) ) * idel
+ dvar(7+ol,:,:) = ( q(1,7) * var(1+ol,:,:) + q(2,7) * var(2+ol,:,:) + &
+ q(3,7) * var(3+ol,:,:) + q(4,7) * var(4+ol,:,:) + &
+ q(5,7) * var(5+ol,:,:) + q(6,7) * var(6+ol,:,:) + &
+ q(7,7) * var(7+ol,:,:) + q(8,7) * var(8+ol,:,:) + &
+ q(9,7) * var(9+ol,:,:) + q(10,7) * var(10+ol,:,:) ) * idel
+ il = 8 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
- dvar(ni-6,:,:) = - ( q(1,7) * var(ni,:,:) + q(2,7) * var(ni-1,:,:) + &
- q(3,7) * var(ni-2,:,:) + q(4,7) * var(ni-3,:,:) + &
- q(5,7) * var(ni-4,:,:) + q(6,7) * var(ni-5,:,:) + &
- q(7,7) * var(ni-6,:,:) + q(8,7) * var(ni-7,:,:) + &
- q(9,7) * var(ni-8,:,:) + &
- q(10,7) * var(ni-9,:,:) ) * idel
- dvar(ni-5,:,:) = - ( q(1,6) * var(ni,:,:) + q(2,6) * var(ni-1,:,:) + &
- q(3,6) * var(ni-2,:,:) + q(4,6) * var(ni-3,:,:) + &
- q(5,6) * var(ni-4,:,:) + q(6,6) * var(ni-5,:,:) + &
- q(7,6) * var(ni-6,:,:) + q(8,6) * var(ni-7,:,:) + &
- q(9,6) * var(ni-8,:,:) + &
- q(10,6) * var(ni-9,:,:) ) * idel
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(5,5) * var(ni-4,:,:) + q(6,5) * var(ni-5,:,:) + &
- q(7,5) * var(ni-6,:,:) + q(8,5) * var(ni-7,:,:) + &
- q(9,5) * var(ni-8,:,:) + &
- q(10,5) * var(ni-9,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(4,4) * var(ni-3,:,:) + &
- q(5,4) * var(ni-4,:,:) + q(6,4) * var(ni-5,:,:) + &
- q(7,4) * var(ni-6,:,:) + q(8,4) * var(ni-7,:,:) + &
- q(9,4) * var(ni-8,:,:) + &
- q(10,4) * var(ni-9,:,:) ) * idel
- dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + q(2,3) * var(ni-1,:,:) + &
- q(3,3) * var(ni-2,:,:) + q(4,3) * var(ni-3,:,:) + &
- q(5,3) * var(ni-4,:,:) + q(6,3) * var(ni-5,:,:) + &
- q(7,3) * var(ni-6,:,:) + q(8,3) * var(ni-7,:,:) + &
- q(9,3) * var(ni-8,:,:)) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(2,2) * var(ni-1,:,:) + &
- q(3,2) * var(ni-2,:,:) + q(4,2) * var(ni-3,:,:) + &
- q(5,2) * var(ni-4,:,:) + q(6,2) * var(ni-5,:,:) + &
- q(7,2) * var(ni-6,:,:) + &
- q(8,2) * var(ni-7,:,:) ) * 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,:,:) + &
- q(5,1) * var(ni-4,:,:) + &
- q(6,1) * var(ni-5,:,:) ) * idel
- ir = ni - 7
+ or = ni - offset(2)
+ dvar(or-6,:,:) = - ( q(1,7) * var(or,:,:) + q(2,7) * var(or-1,:,:) + &
+ q(3,7) * var(or-2,:,:) + q(4,7) * var(or-3,:,:) + &
+ q(5,7) * var(or-4,:,:) + q(6,7) * var(or-5,:,:) + &
+ q(7,7) * var(or-6,:,:) + q(8,7) * var(or-7,:,:) + &
+ q(9,7) * var(or-8,:,:) + &
+ q(10,7) * var(or-9,:,:) ) * idel
+ dvar(or-5,:,:) = - ( q(1,6) * var(or,:,:) + q(2,6) * var(or-1,:,:) + &
+ q(3,6) * var(or-2,:,:) + q(4,6) * var(or-3,:,:) + &
+ q(5,6) * var(or-4,:,:) + q(6,6) * var(or-5,:,:) + &
+ q(7,6) * var(or-6,:,:) + q(8,6) * var(or-7,:,:) + &
+ q(9,6) * var(or-8,:,:) + &
+ q(10,6) * var(or-9,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(5,5) * var(or-4,:,:) + q(6,5) * var(or-5,:,:) + &
+ q(7,5) * var(or-6,:,:) + q(8,5) * var(or-7,:,:) + &
+ q(9,5) * var(or-8,:,:) + &
+ q(10,5) * var(or-9,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(4,4) * var(or-3,:,:) + &
+ q(5,4) * var(or-4,:,:) + q(6,4) * var(or-5,:,:) + &
+ q(7,4) * var(or-6,:,:) + q(8,4) * var(or-7,:,:) + &
+ q(9,4) * var(or-8,:,:) + &
+ q(10,4) * var(or-9,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(3,3) * var(or-2,:,:) + q(4,3) * var(or-3,:,:) + &
+ q(5,3) * var(or-4,:,:) + q(6,3) * var(or-5,:,:) + &
+ q(7,3) * var(or-6,:,:) + q(8,3) * var(or-7,:,:) + &
+ q(9,3) * var(or-8,:,:)) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(2,2) * var(or-1,:,:) + &
+ q(3,2) * var(or-2,:,:) + q(4,2) * var(or-3,:,:) + &
+ q(5,2) * var(or-4,:,:) + q(6,2) * var(or-5,:,:) + &
+ q(7,2) * var(or-6,:,:) + &
+ q(8,2) * var(or-7,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) + &
+ q(6,1) * var(or-5,:,:) ) * idel
+ ir = or - 7
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - &
@@ -132,82 +135,84 @@ subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:) + &
- q(5,1) * var(:,5,:) + q(6,1) * var(:,6,:) ) * idel
- dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(2,2) * var(:,2,:) + &
- q(3,2) * var(:,3,:) + q(4,2) * var(:,4,:) + &
- q(5,2) * var(:,5,:) + q(6,2) * var(:,6,:) + &
- q(7,2) * var(:,7,:) + q(8,2) * var(:,8,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + &
- q(5,3) * var(:,5,:) + q(6,3) * var(:,6,:) + &
- q(7,3) * var(:,7,:) + q(8,3) * var(:,8,:) + &
- q(9,3) * var(:,9,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(4,4) * var(:,4,:) + &
- q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) + &
- q(7,4) * var(:,7,:) + q(8,4) * var(:,8,:) + &
- q(9,4) * var(:,9,:) + q(10,4) * var(:,10,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(5,5) * var(:,5,:) + q(6,5) * var(:,6,:) + &
- q(7,5) * var(:,7,:) + q(8,5) * var(:,8,:) + &
- q(9,5) * var(:,9,:) + q(10,5) * var(:,10,:) ) * idel
- dvar(:,6,:) = ( q(1,6) * var(:,1,:) + q(2,6) * var(:,2,:) + &
- q(3,6) * var(:,3,:) + q(4,6) * var(:,4,:) + &
- q(5,6) * var(:,5,:) + q(6,6) * var(:,6,:) + &
- q(7,6) * var(:,7,:) + q(8,6) * var(:,8,:) + &
- q(9,6) * var(:,9,:) + q(10,6) * var(:,10,:) ) * idel
- dvar(:,7,:) = ( q(1,7) * var(:,1,:) + q(2,7) * var(:,2,:) + &
- q(3,7) * var(:,3,:) + q(4,7) * var(:,4,:) + &
- q(5,7) * var(:,5,:) + q(6,7) * var(:,6,:) + &
- q(7,7) * var(:,7,:) + q(8,7) * var(:,8,:) + &
- q(9,7) * var(:,9,:) + q(10,7) * var(:,10,:) ) * idel
- jl = 8
+ ol = offset(1)
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
+ q(5,1) * var(:,5+ol,:) + q(6,1) * var(:,6+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(2,2) * var(:,2+ol,:) + &
+ q(3,2) * var(:,3+ol,:) + q(4,2) * var(:,4+ol,:) + &
+ q(5,2) * var(:,5+ol,:) + q(6,2) * var(:,6+ol,:) + &
+ q(7,2) * var(:,7+ol,:) + q(8,2) * var(:,8+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(3,3) * var(:,3+ol,:) + q(4,3) * var(:,4+ol,:) + &
+ q(5,3) * var(:,5+ol,:) + q(6,3) * var(:,6+ol,:) + &
+ q(7,3) * var(:,7+ol,:) + q(8,3) * var(:,8+ol,:) + &
+ q(9,3) * var(:,9+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(4,4) * var(:,4+ol,:) + &
+ q(5,4) * var(:,5+ol,:) + q(6,4) * var(:,6+ol,:) + &
+ q(7,4) * var(:,7+ol,:) + q(8,4) * var(:,8+ol,:) + &
+ q(9,4) * var(:,9+ol,:) + q(10,4) * var(:,10+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(5,5) * var(:,5+ol,:) + q(6,5) * var(:,6+ol,:) + &
+ q(7,5) * var(:,7+ol,:) + q(8,5) * var(:,8+ol,:) + &
+ q(9,5) * var(:,9+ol,:) + q(10,5) * var(:,10+ol,:) ) * idel
+ dvar(:,6+ol,:) = ( q(1,6) * var(:,1+ol,:) + q(2,6) * var(:,2+ol,:) + &
+ q(3,6) * var(:,3+ol,:) + q(4,6) * var(:,4+ol,:) + &
+ q(5,6) * var(:,5+ol,:) + q(6,6) * var(:,6+ol,:) + &
+ q(7,6) * var(:,7+ol,:) + q(8,6) * var(:,8+ol,:) + &
+ q(9,6) * var(:,9+ol,:) + q(10,6) * var(:,10+ol,:) ) * idel
+ dvar(:,7+ol,:) = ( q(1,7) * var(:,1+ol,:) + q(2,7) * var(:,2+ol,:) + &
+ q(3,7) * var(:,3+ol,:) + q(4,7) * var(:,4+ol,:) + &
+ q(5,7) * var(:,5+ol,:) + q(6,7) * var(:,6+ol,:) + &
+ q(7,7) * var(:,7+ol,:) + q(8,7) * var(:,8+ol,:) + &
+ q(9,7) * var(:,9+ol,:) + q(10,7) * var(:,10+ol,:) ) * idel
+ jl = 8 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
- dvar(:,nj-6,:) = - ( q(1,7) * var(:,nj,:) + q(2,7) * var(:,nj-1,:) + &
- q(3,7) * var(:,nj-2,:) + q(4,7) * var(:,nj-3,:) + &
- q(5,7) * var(:,nj-4,:) + q(6,7) * var(:,nj-5,:) + &
- q(7,7) * var(:,nj-6,:) + q(8,7) * var(:,nj-7,:) + &
- q(9,7) * var(:,nj-8,:) + &
- q(10,7) * var(:,nj-9,:) ) * idel
- dvar(:,nj-5,:) = - ( q(1,6) * var(:,nj,:) + q(2,6) * var(:,nj-1,:) + &
- q(3,6) * var(:,nj-2,:) + q(4,6) * var(:,nj-3,:) + &
- q(5,6) * var(:,nj-4,:) + q(6,6) * var(:,nj-5,:) + &
- q(7,6) * var(:,nj-6,:) + q(8,6) * var(:,nj-7,:) + &
- q(9,6) * var(:,nj-8,:) + &
- q(10,6) * var(:,nj-9,:) ) * idel
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(5,5) * var(:,nj-4,:) + q(6,5) * var(:,nj-5,:) + &
- q(7,5) * var(:,nj-6,:) + q(8,5) * var(:,nj-7,:) + &
- q(9,5) * var(:,nj-8,:) + &
- q(10,5) * var(:,nj-9,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(4,4) * var(:,nj-3,:) + &
- q(5,4) * var(:,nj-4,:) + q(6,4) * var(:,nj-5,:) + &
- q(7,4) * var(:,nj-6,:) + q(8,4) * var(:,nj-7,:) + &
- q(9,4) * var(:,nj-8,:) + &
- q(10,4) * var(:,nj-9,:) ) * idel
- dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + q(2,3) * var(:,nj-1,:) + &
- q(3,3) * var(:,nj-2,:) + q(4,3) * var(:,nj-3,:) + &
- q(5,3) * var(:,nj-4,:) + q(6,3) * var(:,nj-5,:) + &
- q(7,3) * var(:,nj-6,:) + q(8,3) * var(:,nj-7,:) + &
- q(9,3) * var(:,nj-8,:)) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(2,2) * var(:,nj-1,:) + &
- q(3,2) * var(:,nj-2,:) + q(4,2) * var(:,nj-3,:) + &
- q(5,2) * var(:,nj-4,:) + q(6,2) * var(:,nj-5,:) + &
- q(7,2) * var(:,nj-6,:) + &
- q(8,2) * var(:,nj-7,:) ) * 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,:) + &
- q(5,1) * var(:,nj-4,:) + &
- q(6,1) * var(:,nj-5,:) ) * idel
- jr = nj - 7
+ or = nj - offset(2)
+ dvar(:,or-6,:) = - ( q(1,7) * var(:,or,:) + q(2,7) * var(:,or-1,:) + &
+ q(3,7) * var(:,or-2,:) + q(4,7) * var(:,or-3,:) + &
+ q(5,7) * var(:,or-4,:) + q(6,7) * var(:,or-5,:) + &
+ q(7,7) * var(:,or-6,:) + q(8,7) * var(:,or-7,:) + &
+ q(9,7) * var(:,or-8,:) + &
+ q(10,7) * var(:,or-9,:) ) * idel
+ dvar(:,or-5,:) = - ( q(1,6) * var(:,or,:) + q(2,6) * var(:,or-1,:) + &
+ q(3,6) * var(:,or-2,:) + q(4,6) * var(:,or-3,:) + &
+ q(5,6) * var(:,or-4,:) + q(6,6) * var(:,or-5,:) + &
+ q(7,6) * var(:,or-6,:) + q(8,6) * var(:,or-7,:) + &
+ q(9,6) * var(:,or-8,:) + &
+ q(10,6) * var(:,or-9,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(5,5) * var(:,or-4,:) + q(6,5) * var(:,or-5,:) + &
+ q(7,5) * var(:,or-6,:) + q(8,5) * var(:,or-7,:) + &
+ q(9,5) * var(:,or-8,:) + &
+ q(10,5) * var(:,or-9,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(4,4) * var(:,or-3,:) + &
+ q(5,4) * var(:,or-4,:) + q(6,4) * var(:,or-5,:) + &
+ q(7,4) * var(:,or-6,:) + q(8,4) * var(:,or-7,:) + &
+ q(9,4) * var(:,or-8,:) + &
+ q(10,4) * var(:,or-9,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(3,3) * var(:,or-2,:) + q(4,3) * var(:,or-3,:) + &
+ q(5,3) * var(:,or-4,:) + q(6,3) * var(:,or-5,:) + &
+ q(7,3) * var(:,or-6,:) + q(8,3) * var(:,or-7,:) + &
+ q(9,3) * var(:,or-8,:)) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(2,2) * var(:,or-1,:) + &
+ q(3,2) * var(:,or-2,:) + q(4,2) * var(:,or-3,:) + &
+ q(5,2) * var(:,or-4,:) + q(6,2) * var(:,or-5,:) + &
+ q(7,2) * var(:,or-6,:) + &
+ q(8,2) * var(:,or-7,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) + &
+ q(6,1) * var(:,or-5,:) ) * idel
+ jr = or - 7
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -224,82 +229,84 @@ subroutine deriv_gf_6_5 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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) + &
- q(5,1) * var(:,:,5) + q(6,1) * var(:,:,6) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + &
- q(3,2) * var(:,:,3) + q(4,2) * var(:,:,4) + &
- q(5,2) * var(:,:,5) + q(6,2) * var(:,:,6) + &
- q(7,2) * var(:,:,7) + q(8,2) * var(:,:,8) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + &
- q(5,3) * var(:,:,5) + q(6,3) * var(:,:,6) + &
- q(7,3) * var(:,:,7) + q(8,3) * var(:,:,8) + &
- q(9,3) * var(:,:,9) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(4,4) * var(:,:,4) + &
- q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) + &
- q(7,4) * var(:,:,7) + q(8,4) * var(:,:,8) + &
- q(9,4) * var(:,:,9) + q(10,4) * var(:,:,10) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(5,5) * var(:,:,5) + q(6,5) * var(:,:,6) + &
- q(7,5) * var(:,:,7) + q(8,5) * var(:,:,8) + &
- q(9,5) * var(:,:,9) + q(10,5) * var(:,:,10) ) * idel
- dvar(:,:,6) = ( q(1,6) * var(:,:,1) + q(2,6) * var(:,:,2) + &
- q(3,6) * var(:,:,3) + q(4,6) * var(:,:,4) + &
- q(5,6) * var(:,:,5) + q(6,6) * var(:,:,6) + &
- q(7,6) * var(:,:,7) + q(8,6) * var(:,:,8) + &
- q(9,6) * var(:,:,9) + q(10,6) * var(:,:,10) ) * idel
- dvar(:,:,7) = ( q(1,7) * var(:,:,1) + q(2,7) * var(:,:,2) + &
- q(3,7) * var(:,:,3) + q(4,7) * var(:,:,4) + &
- q(5,7) * var(:,:,5) + q(6,7) * var(:,:,6) + &
- q(7,7) * var(:,:,7) + q(8,7) * var(:,:,8) + &
- q(9,7) * var(:,:,9) + q(10,7) * var(:,:,10) ) * idel
- kl = 8
+ ol = offset(1)
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
+ q(5,1) * var(:,:,5+ol) + q(6,1) * var(:,:,6+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(2,2) * var(:,:,2+ol) + &
+ q(3,2) * var(:,:,3+ol) + q(4,2) * var(:,:,4+ol) + &
+ q(5,2) * var(:,:,5+ol) + q(6,2) * var(:,:,6+ol) + &
+ q(7,2) * var(:,:,7+ol) + q(8,2) * var(:,:,8+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(3,3) * var(:,:,3+ol) + q(4,3) * var(:,:,4+ol) + &
+ q(5,3) * var(:,:,5+ol) + q(6,3) * var(:,:,6+ol) + &
+ q(7,3) * var(:,:,7+ol) + q(8,3) * var(:,:,8+ol) + &
+ q(9,3) * var(:,:,9+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(4,4) * var(:,:,4+ol) + &
+ q(5,4) * var(:,:,5+ol) + q(6,4) * var(:,:,6+ol) + &
+ q(7,4) * var(:,:,7+ol) + q(8,4) * var(:,:,8+ol) + &
+ q(9,4) * var(:,:,9+ol) + q(10,4) * var(:,:,10+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(5,5) * var(:,:,5+ol) + q(6,5) * var(:,:,6+ol) + &
+ q(7,5) * var(:,:,7+ol) + q(8,5) * var(:,:,8+ol) + &
+ q(9,5) * var(:,:,9+ol) + q(10,5) * var(:,:,10+ol) ) * idel
+ dvar(:,:,6+ol) = ( q(1,6) * var(:,:,1+ol) + q(2,6) * var(:,:,2+ol) + &
+ q(3,6) * var(:,:,3+ol) + q(4,6) * var(:,:,4+ol) + &
+ q(5,6) * var(:,:,5+ol) + q(6,6) * var(:,:,6+ol) + &
+ q(7,6) * var(:,:,7+ol) + q(8,6) * var(:,:,8+ol) + &
+ q(9,6) * var(:,:,9+ol) + q(10,6) * var(:,:,10+ol) ) * idel
+ dvar(:,:,7+ol) = ( q(1,7) * var(:,:,1+ol) + q(2,7) * var(:,:,2+ol) + &
+ q(3,7) * var(:,:,3+ol) + q(4,7) * var(:,:,4+ol) + &
+ q(5,7) * var(:,:,5+ol) + q(6,7) * var(:,:,6+ol) + &
+ q(7,7) * var(:,:,7+ol) + q(8,7) * var(:,:,8+ol) + &
+ q(9,7) * var(:,:,9+ol) + q(10,7) * var(:,:,10+ol) ) * idel
+ kl = 8 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
- dvar(:,:,nk-6) = - ( q(1,7) * var(:,:,nk) + q(2,7) * var(:,:,nk-1) + &
- q(3,7) * var(:,:,nk-2) + q(4,7) * var(:,:,nk-3) + &
- q(5,7) * var(:,:,nk-4) + q(6,7) * var(:,:,nk-5) + &
- q(7,7) * var(:,:,nk-6) + q(8,7) * var(:,:,nk-7) + &
- q(9,7) * var(:,:,nk-8) + &
- q(10,7) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-5) = - ( q(1,6) * var(:,:,nk) + q(2,6) * var(:,:,nk-1) + &
- q(3,6) * var(:,:,nk-2) + q(4,6) * var(:,:,nk-3) + &
- q(5,6) * var(:,:,nk-4) + q(6,6) * var(:,:,nk-5) + &
- q(7,6) * var(:,:,nk-6) + q(8,6) * var(:,:,nk-7) + &
- q(9,6) * var(:,:,nk-8) + &
- q(10,6) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(5,5) * var(:,:,nk-4) + q(6,5) * var(:,:,nk-5) + &
- q(7,5) * var(:,:,nk-6) + q(8,5) * var(:,:,nk-7) + &
- q(9,5) * var(:,:,nk-8) + &
- q(10,5) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(4,4) * var(:,:,nk-3) + &
- q(5,4) * var(:,:,nk-4) + q(6,4) * var(:,:,nk-5) + &
- q(7,4) * var(:,:,nk-6) + q(8,4) * var(:,:,nk-7) + &
- q(9,4) * var(:,:,nk-8) + &
- q(10,4) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + q(2,3) * var(:,:,nk-1) + &
- q(3,3) * var(:,:,nk-2) + q(4,3) * var(:,:,nk-3) + &
- q(5,3) * var(:,:,nk-4) + q(6,3) * var(:,:,nk-5) + &
- q(7,3) * var(:,:,nk-6) + q(8,3) * var(:,:,nk-7) + &
- q(9,3) * var(:,:,nk-8)) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(2,2) * var(:,:,nk-1) + &
- q(3,2) * var(:,:,nk-2) + q(4,2) * var(:,:,nk-3) + &
- q(5,2) * var(:,:,nk-4) + q(6,2) * var(:,:,nk-5) + &
- q(7,2) * var(:,:,nk-6) + &
- q(8,2) * var(:,:,nk-7) ) * 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) + &
- q(5,1) * var(:,:,nk-4) + &
- q(6,1) * var(:,:,nk-5) ) * idel
- kr = nk - 7
+ or = nk - offset(2)
+ dvar(:,:,or-6) = - ( q(1,7) * var(:,:,or) + q(2,7) * var(:,:,or-1) + &
+ q(3,7) * var(:,:,or-2) + q(4,7) * var(:,:,or-3) + &
+ q(5,7) * var(:,:,or-4) + q(6,7) * var(:,:,or-5) + &
+ q(7,7) * var(:,:,or-6) + q(8,7) * var(:,:,or-7) + &
+ q(9,7) * var(:,:,or-8) + &
+ q(10,7) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-5) = - ( q(1,6) * var(:,:,or) + q(2,6) * var(:,:,or-1) + &
+ q(3,6) * var(:,:,or-2) + q(4,6) * var(:,:,or-3) + &
+ q(5,6) * var(:,:,or-4) + q(6,6) * var(:,:,or-5) + &
+ q(7,6) * var(:,:,or-6) + q(8,6) * var(:,:,or-7) + &
+ q(9,6) * var(:,:,or-8) + &
+ q(10,6) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(5,5) * var(:,:,or-4) + q(6,5) * var(:,:,or-5) + &
+ q(7,5) * var(:,:,or-6) + q(8,5) * var(:,:,or-7) + &
+ q(9,5) * var(:,:,or-8) + &
+ q(10,5) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(4,4) * var(:,:,or-3) + &
+ q(5,4) * var(:,:,or-4) + q(6,4) * var(:,:,or-5) + &
+ q(7,4) * var(:,:,or-6) + q(8,4) * var(:,:,or-7) + &
+ q(9,4) * var(:,:,or-8) + &
+ q(10,4) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(3,3) * var(:,:,or-2) + q(4,3) * var(:,:,or-3) + &
+ q(5,3) * var(:,:,or-4) + q(6,3) * var(:,:,or-5) + &
+ q(7,3) * var(:,:,or-6) + q(8,3) * var(:,:,or-7) + &
+ q(9,3) * var(:,:,or-8)) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(2,2) * var(:,:,or-1) + &
+ q(3,2) * var(:,:,or-2) + q(4,2) * var(:,:,or-3) + &
+ q(5,2) * var(:,:,or-4) + q(6,2) * var(:,:,or-5) + &
+ q(7,2) * var(:,:,or-6) + &
+ q(8,2) * var(:,:,or-7) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) + &
+ q(6,1) * var(:,:,or-5) ) * idel
+ kr = or - 7
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - &
diff --git a/src/Derivatives_6_5_min_err_coeff.F90 b/src/Derivatives_6_5_min_err_coeff.F90
index 7f9e209..1571dd0 100644
--- a/src/Derivatives_6_5_min_err_coeff.F90
+++ b/src/Derivatives_6_5_min_err_coeff.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(10,7), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,86 +42,88 @@ subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:,:) + &
- q(5,1) * var(5,:,:) + q(6,1) * var(6,:,:) + &
- q(7,1) * var(7,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + &
- q(3,2) * var(3,:,:) + q(4,2) * var(4,:,:) + &
- q(5,2) * var(5,:,:) + q(6,2) * var(6,:,:) + &
- q(7,2) * var(7,:,:) + q(8,2) * var(8,:,:) + &
- q(9,2) * var(9,:,:) + q(10,2) * var(10,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + &
- q(5,3) * var(5,:,:) + q(6,3) * var(6,:,:) + &
- q(7,3) * var(7,:,:) + q(8,3) * var(8,:,:) + &
- q(9,3) * var(9,:,:) + q(10,3) * var(10,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(4,4) * var(4,:,:) + &
- q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) + &
- q(7,4) * var(7,:,:) + q(8,4) * var(8,:,:) + &
- q(9,4) * var(9,:,:) + q(10,4) * var(10,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(5,5) * var(5,:,:) + q(6,5) * var(6,:,:) + &
- q(7,5) * var(7,:,:) + q(8,5) * var(8,:,:) + &
- q(9,5) * var(9,:,:) + q(10,5) * var(10,:,:) ) * idel
- dvar(6,:,:) = ( q(1,6) * var(1,:,:) + q(2,6) * var(2,:,:) + &
- q(3,6) * var(3,:,:) + q(4,6) * var(4,:,:) + &
- q(5,6) * var(5,:,:) + q(6,6) * var(6,:,:) + &
- q(7,6) * var(7,:,:) + q(8,6) * var(8,:,:) + &
- q(9,6) * var(9,:,:) + q(10,6) * var(10,:,:) ) * idel
- dvar(7,:,:) = ( q(1,7) * var(1,:,:) + q(2,7) * var(2,:,:) + &
- q(3,7) * var(3,:,:) + q(4,7) * var(4,:,:) + &
- q(5,7) * var(5,:,:) + q(6,7) * var(6,:,:) + &
- q(7,7) * var(7,:,:) + q(8,7) * var(8,:,:) + &
- q(9,7) * var(9,:,:) + q(10,7) * var(10,:,:) ) * idel
- il = 8
+ ol = offset(1)
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) + q(6,1) * var(6+ol,:,:) + &
+ q(7,1) * var(7+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(2,2) * var(2+ol,:,:) + &
+ q(3,2) * var(3+ol,:,:) + q(4,2) * var(4+ol,:,:) + &
+ q(5,2) * var(5+ol,:,:) + q(6,2) * var(6+ol,:,:) + &
+ q(7,2) * var(7+ol,:,:) + q(8,2) * var(8+ol,:,:) + &
+ q(9,2) * var(9+ol,:,:) + q(10,2) * var(10+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(3,3) * var(3+ol,:,:) + q(4,3) * var(4+ol,:,:) + &
+ q(5,3) * var(5+ol,:,:) + q(6,3) * var(6+ol,:,:) + &
+ q(7,3) * var(7+ol,:,:) + q(8,3) * var(8+ol,:,:) + &
+ q(9,3) * var(9+ol,:,:) + q(10,3) * var(10+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(4,4) * var(4+ol,:,:) + &
+ q(5,4) * var(5+ol,:,:) + q(6,4) * var(6+ol,:,:) + &
+ q(7,4) * var(7+ol,:,:) + q(8,4) * var(8+ol,:,:) + &
+ q(9,4) * var(9+ol,:,:) + q(10,4) * var(10+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(5,5) * var(5+ol,:,:) + q(6,5) * var(6+ol,:,:) + &
+ q(7,5) * var(7+ol,:,:) + q(8,5) * var(8+ol,:,:) + &
+ q(9,5) * var(9+ol,:,:) + q(10,5) * var(10+ol,:,:) ) * idel
+ dvar(6+ol,:,:) = ( q(1,6) * var(1+ol,:,:) + q(2,6) * var(2+ol,:,:) + &
+ q(3,6) * var(3+ol,:,:) + q(4,6) * var(4+ol,:,:) + &
+ q(5,6) * var(5+ol,:,:) + q(6,6) * var(6+ol,:,:) + &
+ q(7,6) * var(7+ol,:,:) + q(8,6) * var(8+ol,:,:) + &
+ q(9,6) * var(9+ol,:,:) + q(10,6) * var(10+ol,:,:) ) * idel
+ dvar(7+ol,:,:) = ( q(1,7) * var(1+ol,:,:) + q(2,7) * var(2+ol,:,:) + &
+ q(3,7) * var(3+ol,:,:) + q(4,7) * var(4+ol,:,:) + &
+ q(5,7) * var(5+ol,:,:) + q(6,7) * var(6+ol,:,:) + &
+ q(7,7) * var(7+ol,:,:) + q(8,7) * var(8+ol,:,:) + &
+ q(9,7) * var(9+ol,:,:) + q(10,7) * var(10+ol,:,:) ) * idel
+ il = 8 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
- dvar(ni-6,:,:) = - ( q(1,7) * var(ni,:,:) + q(2,7) * var(ni-1,:,:) + &
- q(3,7) * var(ni-2,:,:) + q(4,7) * var(ni-3,:,:) + &
- q(5,7) * var(ni-4,:,:) + q(6,7) * var(ni-5,:,:) + &
- q(7,7) * var(ni-6,:,:) + q(8,7) * var(ni-7,:,:) + &
- q(9,7) * var(ni-8,:,:) + &
- q(10,7) * var(ni-9,:,:) ) * idel
- dvar(ni-5,:,:) = - ( q(1,6) * var(ni,:,:) + q(2,6) * var(ni-1,:,:) + &
- q(3,6) * var(ni-2,:,:) + q(4,6) * var(ni-3,:,:) + &
- q(5,6) * var(ni-4,:,:) + q(6,6) * var(ni-5,:,:) + &
- q(7,6) * var(ni-6,:,:) + q(8,6) * var(ni-7,:,:) + &
- q(9,6) * var(ni-8,:,:) + &
- q(10,6) * var(ni-9,:,:) ) * idel
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(5,5) * var(ni-4,:,:) + q(6,5) * var(ni-5,:,:) + &
- q(7,5) * var(ni-6,:,:) + q(8,5) * var(ni-7,:,:) + &
- q(9,5) * var(ni-8,:,:) + &
- q(10,5) * var(ni-9,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(4,4) * var(ni-3,:,:) + &
- q(5,4) * var(ni-4,:,:) + q(6,4) * var(ni-5,:,:) + &
- q(7,4) * var(ni-6,:,:) + q(8,4) * var(ni-7,:,:) + &
- q(9,4) * var(ni-8,:,:) + &
- q(10,4) * var(ni-9,:,:) ) * idel
- dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + q(2,3) * var(ni-1,:,:) + &
- q(3,3) * var(ni-2,:,:) + q(4,3) * var(ni-3,:,:) + &
- q(5,3) * var(ni-4,:,:) + q(6,3) * var(ni-5,:,:) + &
- q(7,3) * var(ni-6,:,:) + q(8,3) * var(ni-7,:,:) + &
- q(9,3) * var(ni-8,:,:) + &
- q(10,3) * var(ni-9,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(2,2) * var(ni-1,:,:) + &
- q(3,2) * var(ni-2,:,:) + q(4,2) * var(ni-3,:,:) + &
- q(5,2) * var(ni-4,:,:) + q(6,2) * var(ni-5,:,:) + &
- q(7,2) * var(ni-6,:,:) + q(8,2) * var(ni-7,:,:) + &
- q(9,2) * var(ni-8,:,:) + &
- q(10,2) * var(ni-9,:,:) ) * 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,:,:) + &
- q(5,1) * var(ni-4,:,:) + q(6,1) * var(ni-5,:,:) + &
- q(7,1) * var(ni-6,:,:) ) * idel
- ir = ni - 7
+ or = ni - offset(2)
+ dvar(or-6,:,:) = - ( q(1,7) * var(or,:,:) + q(2,7) * var(or-1,:,:) + &
+ q(3,7) * var(or-2,:,:) + q(4,7) * var(or-3,:,:) + &
+ q(5,7) * var(or-4,:,:) + q(6,7) * var(or-5,:,:) + &
+ q(7,7) * var(or-6,:,:) + q(8,7) * var(or-7,:,:) + &
+ q(9,7) * var(or-8,:,:) + &
+ q(10,7) * var(or-9,:,:) ) * idel
+ dvar(or-5,:,:) = - ( q(1,6) * var(or,:,:) + q(2,6) * var(or-1,:,:) + &
+ q(3,6) * var(or-2,:,:) + q(4,6) * var(or-3,:,:) + &
+ q(5,6) * var(or-4,:,:) + q(6,6) * var(or-5,:,:) + &
+ q(7,6) * var(or-6,:,:) + q(8,6) * var(or-7,:,:) + &
+ q(9,6) * var(or-8,:,:) + &
+ q(10,6) * var(or-9,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(5,5) * var(or-4,:,:) + q(6,5) * var(or-5,:,:) + &
+ q(7,5) * var(or-6,:,:) + q(8,5) * var(or-7,:,:) + &
+ q(9,5) * var(or-8,:,:) + &
+ q(10,5) * var(or-9,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(4,4) * var(or-3,:,:) + &
+ q(5,4) * var(or-4,:,:) + q(6,4) * var(or-5,:,:) + &
+ q(7,4) * var(or-6,:,:) + q(8,4) * var(or-7,:,:) + &
+ q(9,4) * var(or-8,:,:) + &
+ q(10,4) * var(or-9,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(3,3) * var(or-2,:,:) + q(4,3) * var(or-3,:,:) + &
+ q(5,3) * var(or-4,:,:) + q(6,3) * var(or-5,:,:) + &
+ q(7,3) * var(or-6,:,:) + q(8,3) * var(or-7,:,:) + &
+ q(9,3) * var(or-8,:,:) + &
+ q(10,3) * var(or-9,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(2,2) * var(or-1,:,:) + &
+ q(3,2) * var(or-2,:,:) + q(4,2) * var(or-3,:,:) + &
+ q(5,2) * var(or-4,:,:) + q(6,2) * var(or-5,:,:) + &
+ q(7,2) * var(or-6,:,:) + q(8,2) * var(or-7,:,:) + &
+ q(9,2) * var(or-8,:,:) + &
+ q(10,2) * var(or-9,:,:) ) * idel
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) + q(6,1) * var(or-5,:,:) + &
+ q(7,1) * var(or-6,:,:) ) * idel
+ ir = or - 7
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - &
@@ -136,86 +139,88 @@ subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:) + &
- q(5,1) * var(:,5,:) + q(6,1) * var(:,6,:) + &
- q(7,1) * var(:,7,:) ) * idel
- dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(2,2) * var(:,2,:) + &
- q(3,2) * var(:,3,:) + q(4,2) * var(:,4,:) + &
- q(5,2) * var(:,5,:) + q(6,2) * var(:,6,:) + &
- q(7,2) * var(:,7,:) + q(8,2) * var(:,8,:) + &
- q(9,2) * var(:,9,:) + q(10,2) * var(:,10,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + &
- q(5,3) * var(:,5,:) + q(6,3) * var(:,6,:) + &
- q(7,3) * var(:,7,:) + q(8,3) * var(:,8,:) + &
- q(9,3) * var(:,9,:) + q(10,3) * var(:,10,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(4,4) * var(:,4,:) + &
- q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) + &
- q(7,4) * var(:,7,:) + q(8,4) * var(:,8,:) + &
- q(9,4) * var(:,9,:) + q(10,4) * var(:,10,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(5,5) * var(:,5,:) + q(6,5) * var(:,6,:) + &
- q(7,5) * var(:,7,:) + q(8,5) * var(:,8,:) + &
- q(9,5) * var(:,9,:) + q(10,5) * var(:,10,:) ) * idel
- dvar(:,6,:) = ( q(1,6) * var(:,1,:) + q(2,6) * var(:,2,:) + &
- q(3,6) * var(:,3,:) + q(4,6) * var(:,4,:) + &
- q(5,6) * var(:,5,:) + q(6,6) * var(:,6,:) + &
- q(7,6) * var(:,7,:) + q(8,6) * var(:,8,:) + &
- q(9,6) * var(:,9,:) + q(10,6) * var(:,10,:) ) * idel
- dvar(:,7,:) = ( q(1,7) * var(:,1,:) + q(2,7) * var(:,2,:) + &
- q(3,7) * var(:,3,:) + q(4,7) * var(:,4,:) + &
- q(5,7) * var(:,5,:) + q(6,7) * var(:,6,:) + &
- q(7,7) * var(:,7,:) + q(8,7) * var(:,8,:) + &
- q(9,7) * var(:,9,:) + q(10,7) * var(:,10,:) ) * idel
- jl = 8
+ ol = offset(1)
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
+ q(5,1) * var(:,5+ol,:) + q(6,1) * var(:,6+ol,:) + &
+ q(7,1) * var(:,7+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(2,2) * var(:,2+ol,:) + &
+ q(3,2) * var(:,3+ol,:) + q(4,2) * var(:,4+ol,:) + &
+ q(5,2) * var(:,5+ol,:) + q(6,2) * var(:,6+ol,:) + &
+ q(7,2) * var(:,7+ol,:) + q(8,2) * var(:,8+ol,:) + &
+ q(9,2) * var(:,9+ol,:) + q(10,2) * var(:,10+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(3,3) * var(:,3+ol,:) + q(4,3) * var(:,4+ol,:) + &
+ q(5,3) * var(:,5+ol,:) + q(6,3) * var(:,6+ol,:) + &
+ q(7,3) * var(:,7+ol,:) + q(8,3) * var(:,8+ol,:) + &
+ q(9,3) * var(:,9+ol,:) + q(10,3) * var(:,10+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(4,4) * var(:,4+ol,:) + &
+ q(5,4) * var(:,5+ol,:) + q(6,4) * var(:,6+ol,:) + &
+ q(7,4) * var(:,7+ol,:) + q(8,4) * var(:,8+ol,:) + &
+ q(9,4) * var(:,9+ol,:) + q(10,4) * var(:,10+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(5,5) * var(:,5+ol,:) + q(6,5) * var(:,6+ol,:) + &
+ q(7,5) * var(:,7+ol,:) + q(8,5) * var(:,8+ol,:) + &
+ q(9,5) * var(:,9+ol,:) + q(10,5) * var(:,10+ol,:) ) * idel
+ dvar(:,6+ol,:) = ( q(1,6) * var(:,1+ol,:) + q(2,6) * var(:,2+ol,:) + &
+ q(3,6) * var(:,3+ol,:) + q(4,6) * var(:,4+ol,:) + &
+ q(5,6) * var(:,5+ol,:) + q(6,6) * var(:,6+ol,:) + &
+ q(7,6) * var(:,7+ol,:) + q(8,6) * var(:,8+ol,:) + &
+ q(9,6) * var(:,9+ol,:) + q(10,6) * var(:,10+ol,:) ) * idel
+ dvar(:,7+ol,:) = ( q(1,7) * var(:,1+ol,:) + q(2,7) * var(:,2+ol,:) + &
+ q(3,7) * var(:,3+ol,:) + q(4,7) * var(:,4+ol,:) + &
+ q(5,7) * var(:,5+ol,:) + q(6,7) * var(:,6+ol,:) + &
+ q(7,7) * var(:,7+ol,:) + q(8,7) * var(:,8+ol,:) + &
+ q(9,7) * var(:,9+ol,:) + q(10,7) * var(:,10+ol,:) ) * idel
+ jl = 8 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
- dvar(:,nj-6,:) = - ( q(1,7) * var(:,nj,:) + q(2,7) * var(:,nj-1,:) + &
- q(3,7) * var(:,nj-2,:) + q(4,7) * var(:,nj-3,:) + &
- q(5,7) * var(:,nj-4,:) + q(6,7) * var(:,nj-5,:) + &
- q(7,7) * var(:,nj-6,:) + q(8,7) * var(:,nj-7,:) + &
- q(9,7) * var(:,nj-8,:) + &
- q(10,7) * var(:,nj-9,:) ) * idel
- dvar(:,nj-5,:) = - ( q(1,6) * var(:,nj,:) + q(2,6) * var(:,nj-1,:) + &
- q(3,6) * var(:,nj-2,:) + q(4,6) * var(:,nj-3,:) + &
- q(5,6) * var(:,nj-4,:) + q(6,6) * var(:,nj-5,:) + &
- q(7,6) * var(:,nj-6,:) + q(8,6) * var(:,nj-7,:) + &
- q(9,6) * var(:,nj-8,:) + &
- q(10,6) * var(:,nj-9,:) ) * idel
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(5,5) * var(:,nj-4,:) + q(6,5) * var(:,nj-5,:) + &
- q(7,5) * var(:,nj-6,:) + q(8,5) * var(:,nj-7,:) + &
- q(9,5) * var(:,nj-8,:) + &
- q(10,5) * var(:,nj-9,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(4,4) * var(:,nj-3,:) + &
- q(5,4) * var(:,nj-4,:) + q(6,4) * var(:,nj-5,:) + &
- q(7,4) * var(:,nj-6,:) + q(8,4) * var(:,nj-7,:) + &
- q(9,4) * var(:,nj-8,:) + &
- q(10,4) * var(:,nj-9,:) ) * idel
- dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + q(2,3) * var(:,nj-1,:) + &
- q(3,3) * var(:,nj-2,:) + q(4,3) * var(:,nj-3,:) + &
- q(5,3) * var(:,nj-4,:) + q(6,3) * var(:,nj-5,:) + &
- q(7,3) * var(:,nj-6,:) + q(8,3) * var(:,nj-7,:) + &
- q(9,3) * var(:,nj-8,:) + &
- q(10,3) * var(:,nj-9,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(2,2) * var(:,nj-1,:) + &
- q(3,2) * var(:,nj-2,:) + q(4,2) * var(:,nj-3,:) + &
- q(5,2) * var(:,nj-4,:) + q(6,2) * var(:,nj-5,:) + &
- q(7,2) * var(:,nj-6,:) + q(8,2) * var(:,nj-7,:) + &
- q(9,2) * var(:,nj-8,:) + &
- q(10,2) * var(:,nj-9,:) ) * 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,:) + &
- q(5,1) * var(:,nj-4,:) + q(6,1) * var(:,nj-5,:) + &
- q(7,1) * var(:,nj-6,:) ) * idel
- jr = nj - 7
+ or = nj - offset(2)
+ dvar(:,or-6,:) = - ( q(1,7) * var(:,or,:) + q(2,7) * var(:,or-1,:) + &
+ q(3,7) * var(:,or-2,:) + q(4,7) * var(:,or-3,:) + &
+ q(5,7) * var(:,or-4,:) + q(6,7) * var(:,or-5,:) + &
+ q(7,7) * var(:,or-6,:) + q(8,7) * var(:,or-7,:) + &
+ q(9,7) * var(:,or-8,:) + &
+ q(10,7) * var(:,or-9,:) ) * idel
+ dvar(:,or-5,:) = - ( q(1,6) * var(:,or,:) + q(2,6) * var(:,or-1,:) + &
+ q(3,6) * var(:,or-2,:) + q(4,6) * var(:,or-3,:) + &
+ q(5,6) * var(:,or-4,:) + q(6,6) * var(:,or-5,:) + &
+ q(7,6) * var(:,or-6,:) + q(8,6) * var(:,or-7,:) + &
+ q(9,6) * var(:,or-8,:) + &
+ q(10,6) * var(:,or-9,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(5,5) * var(:,or-4,:) + q(6,5) * var(:,or-5,:) + &
+ q(7,5) * var(:,or-6,:) + q(8,5) * var(:,or-7,:) + &
+ q(9,5) * var(:,or-8,:) + &
+ q(10,5) * var(:,or-9,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(4,4) * var(:,or-3,:) + &
+ q(5,4) * var(:,or-4,:) + q(6,4) * var(:,or-5,:) + &
+ q(7,4) * var(:,or-6,:) + q(8,4) * var(:,or-7,:) + &
+ q(9,4) * var(:,or-8,:) + &
+ q(10,4) * var(:,or-9,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(3,3) * var(:,or-2,:) + q(4,3) * var(:,or-3,:) + &
+ q(5,3) * var(:,or-4,:) + q(6,3) * var(:,or-5,:) + &
+ q(7,3) * var(:,or-6,:) + q(8,3) * var(:,or-7,:) + &
+ q(9,3) * var(:,or-8,:) + &
+ q(10,3) * var(:,or-9,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(2,2) * var(:,or-1,:) + &
+ q(3,2) * var(:,or-2,:) + q(4,2) * var(:,or-3,:) + &
+ q(5,2) * var(:,or-4,:) + q(6,2) * var(:,or-5,:) + &
+ q(7,2) * var(:,or-6,:) + q(8,2) * var(:,or-7,:) + &
+ q(9,2) * var(:,or-8,:) + &
+ q(10,2) * var(:,or-9,:) ) * idel
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) + q(6,1) * var(:,or-5,:) + &
+ q(7,1) * var(:,or-6,:) ) * idel
+ jr = or - 7
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -232,86 +237,88 @@ subroutine deriv_gf_6_5_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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) + &
- q(5,1) * var(:,:,5) + q(6,1) * var(:,:,6) + &
- q(7,1) * var(:,:,7) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + &
- q(3,2) * var(:,:,3) + q(4,2) * var(:,:,4) + &
- q(5,2) * var(:,:,5) + q(6,2) * var(:,:,6) + &
- q(7,2) * var(:,:,7) + q(8,2) * var(:,:,8) + &
- q(9,2) * var(:,:,9) + q(10,2) * var(:,:,10) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + &
- q(5,3) * var(:,:,5) + q(6,3) * var(:,:,6) + &
- q(7,3) * var(:,:,7) + q(8,3) * var(:,:,8) + &
- q(9,3) * var(:,:,9) + q(10,3) * var(:,:,10) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(4,4) * var(:,:,4) + &
- q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) + &
- q(7,4) * var(:,:,7) + q(8,4) * var(:,:,8) + &
- q(9,4) * var(:,:,9) + q(10,4) * var(:,:,10) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(5,5) * var(:,:,5) + q(6,5) * var(:,:,6) + &
- q(7,5) * var(:,:,7) + q(8,5) * var(:,:,8) + &
- q(9,5) * var(:,:,9) + q(10,5) * var(:,:,10) ) * idel
- dvar(:,:,6) = ( q(1,6) * var(:,:,1) + q(2,6) * var(:,:,2) + &
- q(3,6) * var(:,:,3) + q(4,6) * var(:,:,4) + &
- q(5,6) * var(:,:,5) + q(6,6) * var(:,:,6) + &
- q(7,6) * var(:,:,7) + q(8,6) * var(:,:,8) + &
- q(9,6) * var(:,:,9) + q(10,6) * var(:,:,10) ) * idel
- dvar(:,:,7) = ( q(1,7) * var(:,:,1) + q(2,7) * var(:,:,2) + &
- q(3,7) * var(:,:,3) + q(4,7) * var(:,:,4) + &
- q(5,7) * var(:,:,5) + q(6,7) * var(:,:,6) + &
- q(7,7) * var(:,:,7) + q(8,7) * var(:,:,8) + &
- q(9,7) * var(:,:,9) + q(10,7) * var(:,:,10) ) * idel
- kl = 8
+ ol = offset(1)
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
+ q(5,1) * var(:,:,5+ol) + q(6,1) * var(:,:,6+ol) + &
+ q(7,1) * var(:,:,7+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(2,2) * var(:,:,2+ol) + &
+ q(3,2) * var(:,:,3+ol) + q(4,2) * var(:,:,4+ol) + &
+ q(5,2) * var(:,:,5+ol) + q(6,2) * var(:,:,6+ol) + &
+ q(7,2) * var(:,:,7+ol) + q(8,2) * var(:,:,8+ol) + &
+ q(9,2) * var(:,:,9+ol) + q(10,2) * var(:,:,10+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(3,3) * var(:,:,3+ol) + q(4,3) * var(:,:,4+ol) + &
+ q(5,3) * var(:,:,5+ol) + q(6,3) * var(:,:,6+ol) + &
+ q(7,3) * var(:,:,7+ol) + q(8,3) * var(:,:,8+ol) + &
+ q(9,3) * var(:,:,9+ol) + q(10,3) * var(:,:,10+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(4,4) * var(:,:,4+ol) + &
+ q(5,4) * var(:,:,5+ol) + q(6,4) * var(:,:,6+ol) + &
+ q(7,4) * var(:,:,7+ol) + q(8,4) * var(:,:,8+ol) + &
+ q(9,4) * var(:,:,9+ol) + q(10,4) * var(:,:,10+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(5,5) * var(:,:,5+ol) + q(6,5) * var(:,:,6+ol) + &
+ q(7,5) * var(:,:,7+ol) + q(8,5) * var(:,:,8+ol) + &
+ q(9,5) * var(:,:,9+ol) + q(10,5) * var(:,:,10+ol) ) * idel
+ dvar(:,:,6+ol) = ( q(1,6) * var(:,:,1+ol) + q(2,6) * var(:,:,2+ol) + &
+ q(3,6) * var(:,:,3+ol) + q(4,6) * var(:,:,4+ol) + &
+ q(5,6) * var(:,:,5+ol) + q(6,6) * var(:,:,6+ol) + &
+ q(7,6) * var(:,:,7+ol) + q(8,6) * var(:,:,8+ol) + &
+ q(9,6) * var(:,:,9+ol) + q(10,6) * var(:,:,10+ol) ) * idel
+ dvar(:,:,7+ol) = ( q(1,7) * var(:,:,1+ol) + q(2,7) * var(:,:,2+ol) + &
+ q(3,7) * var(:,:,3+ol) + q(4,7) * var(:,:,4+ol) + &
+ q(5,7) * var(:,:,5+ol) + q(6,7) * var(:,:,6+ol) + &
+ q(7,7) * var(:,:,7+ol) + q(8,7) * var(:,:,8+ol) + &
+ q(9,7) * var(:,:,9+ol) + q(10,7) * var(:,:,10+ol) ) * idel
+ kl = 8 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
- dvar(:,:,nk-6) = - ( q(1,7) * var(:,:,nk) + q(2,7) * var(:,:,nk-1) + &
- q(3,7) * var(:,:,nk-2) + q(4,7) * var(:,:,nk-3) + &
- q(5,7) * var(:,:,nk-4) + q(6,7) * var(:,:,nk-5) + &
- q(7,7) * var(:,:,nk-6) + q(8,7) * var(:,:,nk-7) + &
- q(9,7) * var(:,:,nk-8) + &
- q(10,7) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-5) = - ( q(1,6) * var(:,:,nk) + q(2,6) * var(:,:,nk-1) + &
- q(3,6) * var(:,:,nk-2) + q(4,6) * var(:,:,nk-3) + &
- q(5,6) * var(:,:,nk-4) + q(6,6) * var(:,:,nk-5) + &
- q(7,6) * var(:,:,nk-6) + q(8,6) * var(:,:,nk-7) + &
- q(9,6) * var(:,:,nk-8) + &
- q(10,6) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(5,5) * var(:,:,nk-4) + q(6,5) * var(:,:,nk-5) + &
- q(7,5) * var(:,:,nk-6) + q(8,5) * var(:,:,nk-7) + &
- q(9,5) * var(:,:,nk-8) + &
- q(10,5) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(4,4) * var(:,:,nk-3) + &
- q(5,4) * var(:,:,nk-4) + q(6,4) * var(:,:,nk-5) + &
- q(7,4) * var(:,:,nk-6) + q(8,4) * var(:,:,nk-7) + &
- q(9,4) * var(:,:,nk-8) + &
- q(10,4) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + q(2,3) * var(:,:,nk-1) + &
- q(3,3) * var(:,:,nk-2) + q(4,3) * var(:,:,nk-3) + &
- q(5,3) * var(:,:,nk-4) + q(6,3) * var(:,:,nk-5) + &
- q(7,3) * var(:,:,nk-6) + q(8,3) * var(:,:,nk-7) + &
- q(9,3) * var(:,:,nk-8) + &
- q(10,3) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(2,2) * var(:,:,nk-1) + &
- q(3,2) * var(:,:,nk-2) + q(4,2) * var(:,:,nk-3) + &
- q(5,2) * var(:,:,nk-4) + q(6,2) * var(:,:,nk-5) + &
- q(7,2) * var(:,:,nk-6) + q(8,2) * var(:,:,nk-7) + &
- q(9,2) * var(:,:,nk-8) + &
- q(10,2) * var(:,:,nk-9) ) * 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) + &
- q(5,1) * var(:,:,nk-4) + q(6,1) * var(:,:,nk-5) + &
- q(7,1) * var(:,:,nk-6) ) * idel
- kr = nk - 7
+ or = nk - offset(2)
+ dvar(:,:,or-6) = - ( q(1,7) * var(:,:,or) + q(2,7) * var(:,:,or-1) + &
+ q(3,7) * var(:,:,or-2) + q(4,7) * var(:,:,or-3) + &
+ q(5,7) * var(:,:,or-4) + q(6,7) * var(:,:,or-5) + &
+ q(7,7) * var(:,:,or-6) + q(8,7) * var(:,:,or-7) + &
+ q(9,7) * var(:,:,or-8) + &
+ q(10,7) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-5) = - ( q(1,6) * var(:,:,or) + q(2,6) * var(:,:,or-1) + &
+ q(3,6) * var(:,:,or-2) + q(4,6) * var(:,:,or-3) + &
+ q(5,6) * var(:,:,or-4) + q(6,6) * var(:,:,or-5) + &
+ q(7,6) * var(:,:,or-6) + q(8,6) * var(:,:,or-7) + &
+ q(9,6) * var(:,:,or-8) + &
+ q(10,6) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(5,5) * var(:,:,or-4) + q(6,5) * var(:,:,or-5) + &
+ q(7,5) * var(:,:,or-6) + q(8,5) * var(:,:,or-7) + &
+ q(9,5) * var(:,:,or-8) + &
+ q(10,5) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(4,4) * var(:,:,or-3) + &
+ q(5,4) * var(:,:,or-4) + q(6,4) * var(:,:,or-5) + &
+ q(7,4) * var(:,:,or-6) + q(8,4) * var(:,:,or-7) + &
+ q(9,4) * var(:,:,or-8) + &
+ q(10,4) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(3,3) * var(:,:,or-2) + q(4,3) * var(:,:,or-3) + &
+ q(5,3) * var(:,:,or-4) + q(6,3) * var(:,:,or-5) + &
+ q(7,3) * var(:,:,or-6) + q(8,3) * var(:,:,or-7) + &
+ q(9,3) * var(:,:,or-8) + &
+ q(10,3) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(2,2) * var(:,:,or-1) + &
+ q(3,2) * var(:,:,or-2) + q(4,2) * var(:,:,or-3) + &
+ q(5,2) * var(:,:,or-4) + q(6,2) * var(:,:,or-5) + &
+ q(7,2) * var(:,:,or-6) + q(8,2) * var(:,:,or-7) + &
+ q(9,2) * var(:,:,or-8) + &
+ q(10,2) * var(:,:,or-9) ) * idel
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) + q(6,1) * var(:,:,or-5) + &
+ q(7,1) * var(:,:,or-6) ) * idel
+ kr = or - 7
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - &
diff --git a/src/Derivatives_8_4.F90 b/src/Derivatives_8_4.F90
index 9b74e48..ea843ff 100644
--- a/src/Derivatives_8_4.F90
+++ b/src/Derivatives_8_4.F90
@@ -2,7 +2,7 @@
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dvar )
use All_Coeffs_mod
@@ -16,6 +16,7 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_INT, intent(IN) :: dir
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
+ CCTK_INT, intent(IN) :: offset(2)
CCTK_REAL, intent(IN) :: delta
CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar
@@ -23,7 +24,7 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(12,8), save :: q
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
logical, save :: first = .true.
@@ -41,88 +42,90 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:,:) + &
- q(5,1) * var(5,:,:) + q(6,1) * var(6,:,:) + &
- q(7,1) * var(7,:,:) + q(8,1) * var(8,:,:) ) * idel
- dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) + &
- q(4,2) * var(4,:,:) + q(5,2) * var(5,:,:) + &
- q(6,2) * var(6,:,:) + q(7,2) * var(7,:,:) + &
- q(8,2) * var(8,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) + &
- q(6,3) * var(6,:,:) + q(7,3) * var(7,:,:) + &
- q(8,3) * var(8,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(5,4) * var(5,:,:) + &
- q(6,4) * var(6,:,:) + q(7,4) * var(7,:,:) + &
- q(8,4) * var(8,:,:) ) * idel
- dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
- q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
- q(6,5) * var(6,:,:) + q(7,5) * var(7,:,:) + &
- q(8,5) * var(8,:,:) + q(9,5) * var(9,:,:) ) * idel
- dvar(6,:,:) = ( q(1,6) * var(1,:,:) + q(2,6) * var(2,:,:) + &
- q(3,6) * var(3,:,:) + q(4,6) * var(4,:,:) + &
- q(5,6) * var(5,:,:) + q(7,6) * var(7,:,:) + &
- q(8,6) * var(8,:,:) + q(9,6) * var(9,:,:) + &
- q(10,6) * var(10,:,:) ) * idel
- dvar(7,:,:) = ( q(1,7) * var(1,:,:) + q(2,7) * var(2,:,:) + &
- q(3,7) * var(3,:,:) + q(4,7) * var(4,:,:) + &
- q(5,7) * var(5,:,:) + q(6,7) * var(6,:,:) + &
- q(8,7) * var(8,:,:) + q(9,7) * var(9,:,:) + &
- q(10,7) * var(10,:,:) + q(11,7) * var(11,:,:) ) * idel
- dvar(8,:,:) = ( q(1,8) * var(1,:,:) + q(2,8) * var(2,:,:) + &
- q(3,8) * var(3,:,:) + q(4,8) * var(4,:,:) + &
- q(5,8) * var(5,:,:) + q(6,8) * var(6,:,:) + &
- q(7,8) * var(7,:,:) + q(9,8) * var(9,:,:) + &
- q(10,8) * var(10,:,:) + q(11,8) * var(11,:,:) + &
- q(12,8) * var(12,:,:) ) * idel
- il = 9
+ ol = offset(1)
+ dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) + q(6,1) * var(6+ol,:,:) + &
+ q(7,1) * var(7+ol,:,:) + q(8,1) * var(8+ol,:,:) ) * idel
+ dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(3,2) * var(3+ol,:,:) + &
+ q(4,2) * var(4+ol,:,:) + q(5,2) * var(5+ol,:,:) + &
+ q(6,2) * var(6+ol,:,:) + q(7,2) * var(7+ol,:,:) + &
+ q(8,2) * var(8+ol,:,:) ) * idel
+ dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
+ q(4,3) * var(4+ol,:,:) + q(5,3) * var(5+ol,:,:) + &
+ q(6,3) * var(6+ol,:,:) + q(7,3) * var(7+ol,:,:) + &
+ q(8,3) * var(8+ol,:,:) ) * idel
+ dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
+ q(3,4) * var(3+ol,:,:) + q(5,4) * var(5+ol,:,:) + &
+ q(6,4) * var(6+ol,:,:) + q(7,4) * var(7+ol,:,:) + &
+ q(8,4) * var(8+ol,:,:) ) * idel
+ dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(6,5) * var(6+ol,:,:) + q(7,5) * var(7+ol,:,:) + &
+ q(8,5) * var(8+ol,:,:) + q(9,5) * var(9+ol,:,:) ) * idel
+ dvar(6+ol,:,:) = ( q(1,6) * var(1+ol,:,:) + q(2,6) * var(2+ol,:,:) + &
+ q(3,6) * var(3+ol,:,:) + q(4,6) * var(4+ol,:,:) + &
+ q(5,6) * var(5+ol,:,:) + q(7,6) * var(7+ol,:,:) + &
+ q(8,6) * var(8+ol,:,:) + q(9,6) * var(9+ol,:,:) + &
+ q(10,6) * var(10+ol,:,:) ) * idel
+ dvar(7+ol,:,:) = ( q(1,7) * var(1+ol,:,:) + q(2,7) * var(2+ol,:,:) + &
+ q(3,7) * var(3+ol,:,:) + q(4,7) * var(4+ol,:,:) + &
+ q(5,7) * var(5+ol,:,:) + q(6,7) * var(6+ol,:,:) + &
+ q(8,7) * var(8+ol,:,:) + q(9,7) * var(9+ol,:,:) + &
+ q(10,7) * var(10+ol,:,:) + q(11,7) * var(11+ol,:,:) ) * idel
+ dvar(8+ol,:,:) = ( q(1,8) * var(1+ol,:,:) + q(2,8) * var(2+ol,:,:) + &
+ q(3,8) * var(3+ol,:,:) + q(4,8) * var(4+ol,:,:) + &
+ q(5,8) * var(5+ol,:,:) + q(6,8) * var(6+ol,:,:) + &
+ q(7,8) * var(7+ol,:,:) + q(9,8) * var(9+ol,:,:) + &
+ q(10,8) * var(10+ol,:,:) + q(11,8) * var(11+ol,:,:) + &
+ q(12,8) * var(12+ol,:,:) ) * idel
+ il = 9 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
- 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,:,:) + &
- q(5,1) * var(ni-4,:,:) + q(6,1) * var(ni-5,:,:) + &
- q(7,1) * var(ni-6,:,:) + &
- q(8,1) * var(ni-7,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(3,2) * var(ni-2,:,:) + &
- q(4,2) * var(ni-3,:,:) + q(5,2) * var(ni-4,:,:) + &
- q(6,2) * var(ni-5,:,:) + q(7,2) * var(ni-6,:,:) + &
- q(8,2) * var(ni-7,:,:) ) * 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,:,:) + &
- q(6,3) * var(ni-5,:,:) + q(7,3) * var(ni-6,:,:) + &
- q(8,3) * var(ni-7,:,:) ) * idel
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + q(5,4) * var(ni-4,:,:) + &
- q(6,4) * var(ni-5,:,:) + q(7,4) * var(ni-6,:,:) + &
- q(8,4) * var(ni-7,:,:) ) * idel
- dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
- q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
- q(6,5) * var(ni-5,:,:) + q(7,5) * var(ni-6,:,:) + &
- q(8,5) * var(ni-7,:,:) + &
- q(9,5) * var(ni-8,:,:) ) * idel
- dvar(ni-5,:,:) = - ( q(1,6) * var(ni,:,:) + q(2,6) * var(ni-1,:,:) + &
- q(3,6) * var(ni-2,:,:) + q(4,6) * var(ni-3,:,:) + &
- q(5,6) * var(ni-4,:,:) + q(7,6) * var(ni-6,:,:) + &
- q(8,6) * var(ni-7,:,:) + q(9,6) * var(ni-8,:,:) + &
- q(10,6) * var(ni-9,:,:) ) * idel
- dvar(ni-6,:,:) = - ( q(1,7) * var(ni,:,:) + q(2,7) * var(ni-1,:,:) + &
- q(3,7) * var(ni-2,:,:) + q(4,7) * var(ni-3,:,:) + &
- q(5,7) * var(ni-4,:,:) + q(6,7) * var(ni-5,:,:) + &
- q(8,7) * var(ni-7,:,:) + q(9,7) * var(ni-8,:,:) + &
- q(10,7) * var(ni-9,:,:) + &
- q(11,7) * var(ni-10,:,:) ) * idel
- dvar(ni-7,:,:) = - ( q(1,8) * var(ni,:,:) + q(2,8) * var(ni-1,:,:) + &
- q(3,8) * var(ni-2,:,:) + q(4,8) * var(ni-3,:,:) + &
- q(5,8) * var(ni-4,:,:) + q(6,8) * var(ni-5,:,:) + &
- q(7,8) * var(ni-6,:,:) + q(9,8) * var(ni-8,:,:) + &
- q(10,8) * var(ni-9,:,:) + &
- q(11,8) * var(ni-10,:,:) + &
- q(12,8) * var(ni-11,:,:) ) * idel
- ir = ni - 8
+ or = ni - offset(2)
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) + q(6,1) * var(or-5,:,:) + &
+ q(7,1) * var(or-6,:,:) + &
+ q(8,1) * var(or-7,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(3,2) * var(or-2,:,:) + &
+ q(4,2) * var(or-3,:,:) + q(5,2) * var(or-4,:,:) + &
+ q(6,2) * var(or-5,:,:) + q(7,2) * var(or-6,:,:) + &
+ q(8,2) * var(or-7,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(4,3) * var(or-3,:,:) + q(5,3) * var(or-4,:,:) + &
+ q(6,3) * var(or-5,:,:) + q(7,3) * var(or-6,:,:) + &
+ q(8,3) * var(or-7,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(5,4) * var(or-4,:,:) + &
+ q(6,4) * var(or-5,:,:) + q(7,4) * var(or-6,:,:) + &
+ q(8,4) * var(or-7,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(6,5) * var(or-5,:,:) + q(7,5) * var(or-6,:,:) + &
+ q(8,5) * var(or-7,:,:) + &
+ q(9,5) * var(or-8,:,:) ) * idel
+ dvar(or-5,:,:) = - ( q(1,6) * var(or,:,:) + q(2,6) * var(or-1,:,:) + &
+ q(3,6) * var(or-2,:,:) + q(4,6) * var(or-3,:,:) + &
+ q(5,6) * var(or-4,:,:) + q(7,6) * var(or-6,:,:) + &
+ q(8,6) * var(or-7,:,:) + q(9,6) * var(or-8,:,:) + &
+ q(10,6) * var(or-9,:,:) ) * idel
+ dvar(or-6,:,:) = - ( q(1,7) * var(or,:,:) + q(2,7) * var(or-1,:,:) + &
+ q(3,7) * var(or-2,:,:) + q(4,7) * var(or-3,:,:) + &
+ q(5,7) * var(or-4,:,:) + q(6,7) * var(or-5,:,:) + &
+ q(8,7) * var(or-7,:,:) + q(9,7) * var(or-8,:,:) + &
+ q(10,7) * var(or-9,:,:) + &
+ q(11,7) * var(or-10,:,:) ) * idel
+ dvar(or-7,:,:) = - ( q(1,8) * var(or,:,:) + q(2,8) * var(or-1,:,:) + &
+ q(3,8) * var(or-2,:,:) + q(4,8) * var(or-3,:,:) + &
+ q(5,8) * var(or-4,:,:) + q(6,8) * var(or-5,:,:) + &
+ q(7,8) * var(or-6,:,:) + q(9,8) * var(or-8,:,:) + &
+ q(10,8) * var(or-9,:,:) + &
+ q(11,8) * var(or-10,:,:) + &
+ q(12,8) * var(or-11,:,:) ) * idel
+ ir = or - 8
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - &
@@ -140,88 +143,90 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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,:) + &
- q(5,1) * var(:,5,:) + q(6,1) * var(:,6,:) + &
- q(7,1) * var(:,7,:) + q(8,1) * var(:,8,:) ) * idel
- dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) + &
- q(4,2) * var(:,4,:) + q(5,2) * var(:,5,:) + &
- q(6,2) * var(:,6,:) + q(7,2) * var(:,7,:) + &
- q(8,2) * var(:,8,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) + &
- q(6,3) * var(:,6,:) + q(7,3) * var(:,7,:) + &
- q(8,3) * var(:,8,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(5,4) * var(:,5,:) + &
- q(6,4) * var(:,6,:) + q(7,4) * var(:,7,:) + &
- q(8,4) * var(:,8,:) ) * idel
- dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
- q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
- q(6,5) * var(:,6,:) + q(7,5) * var(:,7,:) + &
- q(8,5) * var(:,8,:) + q(9,5) * var(:,9,:) ) * idel
- dvar(:,6,:) = ( q(1,6) * var(:,1,:) + q(2,6) * var(:,2,:) + &
- q(3,6) * var(:,3,:) + q(4,6) * var(:,4,:) + &
- q(5,6) * var(:,5,:) + q(7,6) * var(:,7,:) + &
- q(8,6) * var(:,8,:) + q(9,6) * var(:,9,:) + &
- q(10,6) * var(:,10,:) ) * idel
- dvar(:,7,:) = ( q(1,7) * var(:,1,:) + q(2,7) * var(:,2,:) + &
- q(3,7) * var(:,3,:) + q(4,7) * var(:,4,:) + &
- q(5,7) * var(:,5,:) + q(6,7) * var(:,6,:) + &
- q(8,7) * var(:,8,:) + q(9,7) * var(:,9,:) + &
- q(10,7) * var(:,10,:) + q(11,7) * var(:,11,:) ) * idel
- dvar(:,8,:) = ( q(1,8) * var(:,1,:) + q(2,8) * var(:,2,:) + &
- q(3,8) * var(:,3,:) + q(4,8) * var(:,4,:) + &
- q(5,8) * var(:,5,:) + q(6,8) * var(:,6,:) + &
- q(7,8) * var(:,7,:) + q(9,8) * var(:,9,:) + &
- q(10,8) * var(:,10,:) + q(11,8) * var(:,11,:) + &
- q(12,8) * var(:,12,:) ) * idel
- jl = 9
+ ol = offset(1)
+ dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
+ q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
+ q(5,1) * var(:,5+ol,:) + q(6,1) * var(:,6+ol,:) + &
+ q(7,1) * var(:,7+ol,:) + q(8,1) * var(:,8+ol,:) ) * idel
+ dvar(:,2+ol,:) = ( q(1,2) * var(:,1+ol,:) + q(3,2) * var(:,3+ol,:) + &
+ q(4,2) * var(:,4+ol,:) + q(5,2) * var(:,5+ol,:) + &
+ q(6,2) * var(:,6+ol,:) + q(7,2) * var(:,7+ol,:) + &
+ q(8,2) * var(:,8+ol,:) ) * idel
+ dvar(:,3+ol,:) = ( q(1,3) * var(:,1+ol,:) + q(2,3) * var(:,2+ol,:) + &
+ q(4,3) * var(:,4+ol,:) + q(5,3) * var(:,5+ol,:) + &
+ q(6,3) * var(:,6+ol,:) + q(7,3) * var(:,7+ol,:) + &
+ q(8,3) * var(:,8+ol,:) ) * idel
+ dvar(:,4+ol,:) = ( q(1,4) * var(:,1+ol,:) + q(2,4) * var(:,2+ol,:) + &
+ q(3,4) * var(:,3+ol,:) + q(5,4) * var(:,5+ol,:) + &
+ q(6,4) * var(:,6+ol,:) + q(7,4) * var(:,7+ol,:) + &
+ q(8,4) * var(:,8+ol,:) ) * idel
+ dvar(:,5+ol,:) = ( q(1,5) * var(:,1+ol,:) + q(2,5) * var(:,2+ol,:) + &
+ q(3,5) * var(:,3+ol,:) + q(4,5) * var(:,4+ol,:) + &
+ q(6,5) * var(:,6+ol,:) + q(7,5) * var(:,7+ol,:) + &
+ q(8,5) * var(:,8+ol,:) + q(9,5) * var(:,9+ol,:) ) * idel
+ dvar(:,6+ol,:) = ( q(1,6) * var(:,1+ol,:) + q(2,6) * var(:,2+ol,:) + &
+ q(3,6) * var(:,3+ol,:) + q(4,6) * var(:,4+ol,:) + &
+ q(5,6) * var(:,5+ol,:) + q(7,6) * var(:,7+ol,:) + &
+ q(8,6) * var(:,8+ol,:) + q(9,6) * var(:,9+ol,:) + &
+ q(10,6) * var(:,10+ol,:) ) * idel
+ dvar(:,7+ol,:) = ( q(1,7) * var(:,1+ol,:) + q(2,7) * var(:,2+ol,:) + &
+ q(3,7) * var(:,3+ol,:) + q(4,7) * var(:,4+ol,:) + &
+ q(5,7) * var(:,5+ol,:) + q(6,7) * var(:,6+ol,:) + &
+ q(8,7) * var(:,8+ol,:) + q(9,7) * var(:,9+ol,:) + &
+ q(10,7) * var(:,10+ol,:) + q(11,7) * var(:,11+ol,:) ) * idel
+ dvar(:,8+ol,:) = ( q(1,8) * var(:,1+ol,:) + q(2,8) * var(:,2+ol,:) + &
+ q(3,8) * var(:,3+ol,:) + q(4,8) * var(:,4+ol,:) + &
+ q(5,8) * var(:,5+ol,:) + q(6,8) * var(:,6+ol,:) + &
+ q(7,8) * var(:,7+ol,:) + q(9,8) * var(:,9+ol,:) + &
+ q(10,8) * var(:,10+ol,:) + q(11,8) * var(:,11+ol,:) + &
+ q(12,8) * var(:,12+ol,:) ) * idel
+ jl = 9 + ol
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
- 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,:) + &
- q(5,1) * var(:,nj-4,:) + q(6,1) * var(:,nj-5,:) + &
- q(7,1) * var(:,nj-6,:) + &
- q(8,1) * var(:,nj-7,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(3,2) * var(:,nj-2,:) + &
- q(4,2) * var(:,nj-3,:) + q(5,2) * var(:,nj-4,:) + &
- q(6,2) * var(:,nj-5,:) + q(7,2) * var(:,nj-6,:) + &
- q(8,2) * var(:,nj-7,:) ) * 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,:) + &
- q(6,3) * var(:,nj-5,:) + q(7,3) * var(:,nj-6,:) + &
- q(8,3) * var(:,nj-7,:) ) * idel
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + q(5,4) * var(:,nj-4,:) + &
- q(6,4) * var(:,nj-5,:) + q(7,4) * var(:,nj-6,:) + &
- q(8,4) * var(:,nj-7,:) ) * idel
- dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
- q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
- q(6,5) * var(:,nj-5,:) + q(7,5) * var(:,nj-6,:) + &
- q(8,5) * var(:,nj-7,:) + &
- q(9,5) * var(:,nj-8,:) ) * idel
- dvar(:,nj-5,:) = - ( q(1,6) * var(:,nj,:) + q(2,6) * var(:,nj-1,:) + &
- q(3,6) * var(:,nj-2,:) + q(4,6) * var(:,nj-3,:) + &
- q(5,6) * var(:,nj-4,:) + q(7,6) * var(:,nj-6,:) + &
- q(8,6) * var(:,nj-7,:) + q(9,6) * var(:,nj-8,:) + &
- q(10,6) * var(:,nj-9,:) ) * idel
- dvar(:,nj-6,:) = - ( q(1,7) * var(:,nj,:) + q(2,7) * var(:,nj-1,:) + &
- q(3,7) * var(:,nj-2,:) + q(4,7) * var(:,nj-3,:) + &
- q(5,7) * var(:,nj-4,:) + q(6,7) * var(:,nj-5,:) + &
- q(8,7) * var(:,nj-7,:) + q(9,7) * var(:,nj-8,:) + &
- q(10,7) * var(:,nj-9,:) + &
- q(11,7) * var(:,nj-10,:) ) * idel
- dvar(:,nj-7,:) = - ( q(1,8) * var(:,nj,:) + q(2,8) * var(:,nj-1,:) + &
- q(3,8) * var(:,nj-2,:) + q(4,8) * var(:,nj-3,:) + &
- q(5,8) * var(:,nj-4,:) + q(6,8) * var(:,nj-5,:) + &
- q(7,8) * var(:,nj-6,:) + q(9,8) * var(:,nj-8,:) + &
- q(10,8) * var(:,nj-9,:) + &
- q(11,8) * var(:,nj-10,:) + &
- q(12,8) * var(:,nj-11,:) ) * idel
- jr = nj - 8
+ or = nj - offset(2)
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) + q(6,1) * var(:,or-5,:) + &
+ q(7,1) * var(:,or-6,:) + &
+ q(8,1) * var(:,or-7,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(3,2) * var(:,or-2,:) + &
+ q(4,2) * var(:,or-3,:) + q(5,2) * var(:,or-4,:) + &
+ q(6,2) * var(:,or-5,:) + q(7,2) * var(:,or-6,:) + &
+ q(8,2) * var(:,or-7,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(4,3) * var(:,or-3,:) + q(5,3) * var(:,or-4,:) + &
+ q(6,3) * var(:,or-5,:) + q(7,3) * var(:,or-6,:) + &
+ q(8,3) * var(:,or-7,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(5,4) * var(:,or-4,:) + &
+ q(6,4) * var(:,or-5,:) + q(7,4) * var(:,or-6,:) + &
+ q(8,4) * var(:,or-7,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(6,5) * var(:,or-5,:) + q(7,5) * var(:,or-6,:) + &
+ q(8,5) * var(:,or-7,:) + &
+ q(9,5) * var(:,or-8,:) ) * idel
+ dvar(:,or-5,:) = - ( q(1,6) * var(:,or,:) + q(2,6) * var(:,or-1,:) + &
+ q(3,6) * var(:,or-2,:) + q(4,6) * var(:,or-3,:) + &
+ q(5,6) * var(:,or-4,:) + q(7,6) * var(:,or-6,:) + &
+ q(8,6) * var(:,or-7,:) + q(9,6) * var(:,or-8,:) + &
+ q(10,6) * var(:,or-9,:) ) * idel
+ dvar(:,or-6,:) = - ( q(1,7) * var(:,or,:) + q(2,7) * var(:,or-1,:) + &
+ q(3,7) * var(:,or-2,:) + q(4,7) * var(:,or-3,:) + &
+ q(5,7) * var(:,or-4,:) + q(6,7) * var(:,or-5,:) + &
+ q(8,7) * var(:,or-7,:) + q(9,7) * var(:,or-8,:) + &
+ q(10,7) * var(:,or-9,:) + &
+ q(11,7) * var(:,or-10,:) ) * idel
+ dvar(:,or-7,:) = - ( q(1,8) * var(:,or,:) + q(2,8) * var(:,or-1,:) + &
+ q(3,8) * var(:,or-2,:) + q(4,8) * var(:,or-3,:) + &
+ q(5,8) * var(:,or-4,:) + q(6,8) * var(:,or-5,:) + &
+ q(7,8) * var(:,or-6,:) + q(9,8) * var(:,or-8,:) + &
+ q(10,8) * var(:,or-9,:) + &
+ q(11,8) * var(:,or-10,:) + &
+ q(12,8) * var(:,or-11,:) ) * idel
+ jr = or - 8
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -240,88 +245,90 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
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) + &
- q(5,1) * var(:,:,5) + q(6,1) * var(:,:,6) + &
- q(7,1) * var(:,:,7) + q(8,1) * var(:,:,8) ) * idel
- dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) + &
- q(4,2) * var(:,:,4) + q(5,2) * var(:,:,5) + &
- q(6,2) * var(:,:,6) + q(7,2) * var(:,:,7) + &
- q(8,2) * var(:,:,8) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) + &
- q(6,3) * var(:,:,6) + q(7,3) * var(:,:,7) + &
- q(8,3) * var(:,:,8) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(5,4) * var(:,:,5) + &
- q(6,4) * var(:,:,6) + q(7,4) * var(:,:,7) + &
- q(8,4) * var(:,:,8) ) * idel
- dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
- q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
- q(6,5) * var(:,:,6) + q(7,5) * var(:,:,7) + &
- q(8,5) * var(:,:,8) + q(9,5) * var(:,:,9) ) * idel
- dvar(:,:,6) = ( q(1,6) * var(:,:,1) + q(2,6) * var(:,:,2) + &
- q(3,6) * var(:,:,3) + q(4,6) * var(:,:,4) + &
- q(5,6) * var(:,:,5) + q(7,6) * var(:,:,7) + &
- q(8,6) * var(:,:,8) + q(9,6) * var(:,:,9) + &
- q(10,6) * var(:,:,10) ) * idel
- dvar(:,:,7) = ( q(1,7) * var(:,:,1) + q(2,7) * var(:,:,2) + &
- q(3,7) * var(:,:,3) + q(4,7) * var(:,:,4) + &
- q(5,7) * var(:,:,5) + q(6,7) * var(:,:,6) + &
- q(8,7) * var(:,:,8) + q(9,7) * var(:,:,9) + &
- q(10,7) * var(:,:,10) + q(11,7) * var(:,:,11) ) * idel
- dvar(:,:,8) = ( q(1,8) * var(:,:,1) + q(2,8) * var(:,:,2) + &
- q(3,8) * var(:,:,3) + q(4,8) * var(:,:,4) + &
- q(5,8) * var(:,:,5) + q(6,8) * var(:,:,6) + &
- q(7,8) * var(:,:,7) + q(9,8) * var(:,:,9) + &
- q(10,8) * var(:,:,10) + q(11,8) * var(:,:,11) + &
- q(12,8) * var(:,:,12) ) * idel
- kl = 9
+ ol = offset(1)
+ dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
+ q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
+ q(5,1) * var(:,:,5+ol) + q(6,1) * var(:,:,6+ol) + &
+ q(7,1) * var(:,:,7+ol) + q(8,1) * var(:,:,8+ol) ) * idel
+ dvar(:,:,2+ol) = ( q(1,2) * var(:,:,1+ol) + q(3,2) * var(:,:,3+ol) + &
+ q(4,2) * var(:,:,4+ol) + q(5,2) * var(:,:,5+ol) + &
+ q(6,2) * var(:,:,6+ol) + q(7,2) * var(:,:,7+ol) + &
+ q(8,2) * var(:,:,8+ol) ) * idel
+ dvar(:,:,3+ol) = ( q(1,3) * var(:,:,1+ol) + q(2,3) * var(:,:,2+ol) + &
+ q(4,3) * var(:,:,4+ol) + q(5,3) * var(:,:,5+ol) + &
+ q(6,3) * var(:,:,6+ol) + q(7,3) * var(:,:,7+ol) + &
+ q(8,3) * var(:,:,8+ol) ) * idel
+ dvar(:,:,4+ol) = ( q(1,4) * var(:,:,1+ol) + q(2,4) * var(:,:,2+ol) + &
+ q(3,4) * var(:,:,3+ol) + q(5,4) * var(:,:,5+ol) + &
+ q(6,4) * var(:,:,6+ol) + q(7,4) * var(:,:,7+ol) + &
+ q(8,4) * var(:,:,8+ol) ) * idel
+ dvar(:,:,5+ol) = ( q(1,5) * var(:,:,1+ol) + q(2,5) * var(:,:,2+ol) + &
+ q(3,5) * var(:,:,3+ol) + q(4,5) * var(:,:,4+ol) + &
+ q(6,5) * var(:,:,6+ol) + q(7,5) * var(:,:,7+ol) + &
+ q(8,5) * var(:,:,8+ol) + q(9,5) * var(:,:,9+ol) ) * idel
+ dvar(:,:,6+ol) = ( q(1,6) * var(:,:,1+ol) + q(2,6) * var(:,:,2+ol) + &
+ q(3,6) * var(:,:,3+ol) + q(4,6) * var(:,:,4+ol) + &
+ q(5,6) * var(:,:,5+ol) + q(7,6) * var(:,:,7+ol) + &
+ q(8,6) * var(:,:,8+ol) + q(9,6) * var(:,:,9+ol) + &
+ q(10,6) * var(:,:,10+ol) ) * idel
+ dvar(:,:,7+ol) = ( q(1,7) * var(:,:,1+ol) + q(2,7) * var(:,:,2+ol) + &
+ q(3,7) * var(:,:,3+ol) + q(4,7) * var(:,:,4+ol) + &
+ q(5,7) * var(:,:,5+ol) + q(6,7) * var(:,:,6+ol) + &
+ q(8,7) * var(:,:,8+ol) + q(9,7) * var(:,:,9+ol) + &
+ q(10,7) * var(:,:,10+ol) + q(11,7) * var(:,:,11+ol) ) * idel
+ dvar(:,:,8+ol) = ( q(1,8) * var(:,:,1+ol) + q(2,8) * var(:,:,2+ol) + &
+ q(3,8) * var(:,:,3+ol) + q(4,8) * var(:,:,4+ol) + &
+ q(5,8) * var(:,:,5+ol) + q(6,8) * var(:,:,6+ol) + &
+ q(7,8) * var(:,:,7+ol) + q(9,8) * var(:,:,9+ol) + &
+ q(10,8) * var(:,:,10+ol) + q(11,8) * var(:,:,11+ol) + &
+ q(12,8) * var(:,:,12+ol) ) * idel
+ kl = 9 + ol
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
- 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) + &
- q(5,1) * var(:,:,nk-4) + q(6,1) * var(:,:,nk-5) + &
- q(7,1) * var(:,:,nk-6) + &
- q(8,1) * var(:,:,nk-7) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(3,2) * var(:,:,nk-2) + &
- q(4,2) * var(:,:,nk-3) + q(5,2) * var(:,:,nk-4) + &
- q(6,2) * var(:,:,nk-5) + q(7,2) * var(:,:,nk-6) + &
- q(8,2) * var(:,:,nk-7) ) * 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) + &
- q(6,3) * var(:,:,nk-5) + q(7,3) * var(:,:,nk-6) + &
- q(8,3) * var(:,:,nk-7) ) * idel
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + q(5,4) * var(:,:,nk-4) + &
- q(6,4) * var(:,:,nk-5) + q(7,4) * var(:,:,nk-6) + &
- q(8,4) * var(:,:,nk-7) ) * idel
- dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
- q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
- q(6,5) * var(:,:,nk-5) + q(7,5) * var(:,:,nk-6) + &
- q(8,5) * var(:,:,nk-7) + &
- q(9,5) * var(:,:,nk-8) ) * idel
- dvar(:,:,nk-5) = - ( q(1,6) * var(:,:,nk) + q(2,6) * var(:,:,nk-1) + &
- q(3,6) * var(:,:,nk-2) + q(4,6) * var(:,:,nk-3) + &
- q(5,6) * var(:,:,nk-4) + q(7,6) * var(:,:,nk-6) + &
- q(8,6) * var(:,:,nk-7) + q(9,6) * var(:,:,nk-8) + &
- q(10,6) * var(:,:,nk-9) ) * idel
- dvar(:,:,nk-6) = - ( q(1,7) * var(:,:,nk) + q(2,7) * var(:,:,nk-1) + &
- q(3,7) * var(:,:,nk-2) + q(4,7) * var(:,:,nk-3) + &
- q(5,7) * var(:,:,nk-4) + q(6,7) * var(:,:,nk-5) + &
- q(8,7) * var(:,:,nk-7) + q(9,7) * var(:,:,nk-8) + &
- q(10,7) * var(:,:,nk-9) + &
- q(11,7) * var(:,:,nk-10) ) * idel
- dvar(:,:,nk-7) = - ( q(1,8) * var(:,:,nk) + q(2,8) * var(:,:,nk-1) + &
- q(3,8) * var(:,:,nk-2) + q(4,8) * var(:,:,nk-3) + &
- q(5,8) * var(:,:,nk-4) + q(6,8) * var(:,:,nk-5) + &
- q(7,8) * var(:,:,nk-6) + q(9,8) * var(:,:,nk-8) + &
- q(10,8) * var(:,:,nk-9) + &
- q(11,8) * var(:,:,nk-10) + &
- q(12,8) * var(:,:,nk-11) ) * idel
- kr = nk - 8
+ or = nk - offset(2)
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) + q(6,1) * var(:,:,or-5) + &
+ q(7,1) * var(:,:,or-6) + &
+ q(8,1) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(3,2) * var(:,:,or-2) + &
+ q(4,2) * var(:,:,or-3) + q(5,2) * var(:,:,or-4) + &
+ q(6,2) * var(:,:,or-5) + q(7,2) * var(:,:,or-6) + &
+ q(8,2) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(4,3) * var(:,:,or-3) + q(5,3) * var(:,:,or-4) + &
+ q(6,3) * var(:,:,or-5) + q(7,3) * var(:,:,or-6) + &
+ q(8,3) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(5,4) * var(:,:,or-4) + &
+ q(6,4) * var(:,:,or-5) + q(7,4) * var(:,:,or-6) + &
+ q(8,4) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(6,5) * var(:,:,or-5) + q(7,5) * var(:,:,or-6) + &
+ q(8,5) * var(:,:,or-7) + &
+ q(9,5) * var(:,:,or-8) ) * idel
+ dvar(:,:,or-5) = - ( q(1,6) * var(:,:,or) + q(2,6) * var(:,:,or-1) + &
+ q(3,6) * var(:,:,or-2) + q(4,6) * var(:,:,or-3) + &
+ q(5,6) * var(:,:,or-4) + q(7,6) * var(:,:,or-6) + &
+ q(8,6) * var(:,:,or-7) + q(9,6) * var(:,:,or-8) + &
+ q(10,6) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-6) = - ( q(1,7) * var(:,:,or) + q(2,7) * var(:,:,or-1) + &
+ q(3,7) * var(:,:,or-2) + q(4,7) * var(:,:,or-3) + &
+ q(5,7) * var(:,:,or-4) + q(6,7) * var(:,:,or-5) + &
+ q(8,7) * var(:,:,or-7) + q(9,7) * var(:,:,or-8) + &
+ q(10,7) * var(:,:,or-9) + &
+ q(11,7) * var(:,:,or-10) ) * idel
+ dvar(:,:,or-7) = - ( q(1,8) * var(:,:,or) + q(2,8) * var(:,:,or-1) + &
+ q(3,8) * var(:,:,or-2) + q(4,8) * var(:,:,or-3) + &
+ q(5,8) * var(:,:,or-4) + q(6,8) * var(:,:,or-5) + &
+ q(7,8) * var(:,:,or-6) + q(9,8) * var(:,:,or-8) + &
+ q(10,8) * var(:,:,or-9) + &
+ q(11,8) * var(:,:,or-10) + &
+ q(12,8) * var(:,:,or-11) ) * idel
+ kr = or - 8
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - &
diff --git a/src/Derivatives_8_4_min_err_coeff.F90 b/src/Derivatives_8_4_min_err_coeff.F90
index 930da74..835d338 100644
--- a/src/Derivatives_8_4_min_err_coeff.F90
+++ b/src/Derivatives_8_4_min_err_coeff.F90
@@ -39,92 +39,93 @@ subroutine deriv_gf_8_4_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dv
direction: select case (dir)
case (0) direction
- ol = offset(1); or = offset(2)
if ( bb(1) == 0 ) then
il = 1 + gsize
else
+ ol = offset(1)
dvar(1+ol,:,:) = ( q(1,1) * var(1+ol,:,:) + q(2,1) * var(2+ol,:,:) + &
- q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
- q(5,1) * var(5+ol,:,:) + q(6,1) * var(6+ol,:,:) + &
- q(7,1) * var(7+ol,:,:) + q(8,1) * var(8+ol,:,:) ) * idel
+ q(3,1) * var(3+ol,:,:) + q(4,1) * var(4+ol,:,:) + &
+ q(5,1) * var(5+ol,:,:) + q(6,1) * var(6+ol,:,:) + &
+ q(7,1) * var(7+ol,:,:) + q(8,1) * var(8+ol,:,:) ) * idel
dvar(2+ol,:,:) = ( q(1,2) * var(1+ol,:,:) + q(3,2) * var(3+ol,:,:) + &
- q(4,2) * var(4+ol,:,:) + q(5,2) * var(5+ol,:,:) + &
- q(6,2) * var(6+ol,:,:) + q(7,2) * var(7+ol,:,:) + &
- q(8,2) * var(8+ol,:,:) ) * idel
+ q(4,2) * var(4+ol,:,:) + q(5,2) * var(5+ol,:,:) + &
+ q(6,2) * var(6+ol,:,:) + q(7,2) * var(7+ol,:,:) + &
+ q(8,2) * var(8+ol,:,:) ) * idel
dvar(3+ol,:,:) = ( q(1,3) * var(1+ol,:,:) + q(2,3) * var(2+ol,:,:) + &
- q(4,3) * var(4+ol,:,:) + q(5,3) * var(5+ol,:,:) + &
- q(6,3) * var(6+ol,:,:) + q(7,3) * var(7+ol,:,:) + &
- q(8,3) * var(8+ol,:,:) ) * idel
+ q(4,3) * var(4+ol,:,:) + q(5,3) * var(5+ol,:,:) + &
+ q(6,3) * var(6+ol,:,:) + q(7,3) * var(7+ol,:,:) + &
+ q(8,3) * var(8+ol,:,:) ) * idel
dvar(4+ol,:,:) = ( q(1,4) * var(1+ol,:,:) + q(2,4) * var(2+ol,:,:) + &
- q(3,4) * var(3+ol,:,:) + q(5,4) * var(5+ol,:,:) + &
- q(6,4) * var(6+ol,:,:) + q(7,4) * var(7+ol,:,:) + &
- q(8,4) * var(8+ol,:,:) ) * idel
+ q(3,4) * var(3+ol,:,:) + q(5,4) * var(5+ol,:,:) + &
+ q(6,4) * var(6+ol,:,:) + q(7,4) * var(7+ol,:,:) + &
+ q(8,4) * var(8+ol,:,:) ) * idel
dvar(5+ol,:,:) = ( q(1,5) * var(1+ol,:,:) + q(2,5) * var(2+ol,:,:) + &
- q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
- q(6,5) * var(6+ol,:,:) + q(7,5) * var(7+ol,:,:) + &
- q(8,5) * var(8+ol,:,:) + q(9,5) * var(9+ol,:,:) ) * idel
+ q(3,5) * var(3+ol,:,:) + q(4,5) * var(4+ol,:,:) + &
+ q(6,5) * var(6+ol,:,:) + q(7,5) * var(7+ol,:,:) + &
+ q(8,5) * var(8+ol,:,:) + q(9,5) * var(9+ol,:,:) ) * idel
dvar(6+ol,:,:) = ( q(1,6) * var(1+ol,:,:) + q(2,6) * var(2+ol,:,:) + &
- q(3,6) * var(3+ol,:,:) + q(4,6) * var(4+ol,:,:) + &
- q(5,6) * var(5+ol,:,:) + q(7,6) * var(7+ol,:,:) + &
- q(8,6) * var(8+ol,:,:) + q(9,6) * var(9+ol,:,:) + &
- q(10,6) * var(10+ol,:,:) ) * idel
+ q(3,6) * var(3+ol,:,:) + q(4,6) * var(4+ol,:,:) + &
+ q(5,6) * var(5+ol,:,:) + q(7,6) * var(7+ol,:,:) + &
+ q(8,6) * var(8+ol,:,:) + q(9,6) * var(9+ol,:,:) + &
+ q(10,6) * var(10+ol,:,:) ) * idel
dvar(7+ol,:,:) = ( q(1,7) * var(1+ol,:,:) + q(2,7) * var(2+ol,:,:) + &
- q(3,7) * var(3+ol,:,:) + q(4,7) * var(4+ol,:,:) + &
- q(5,7) * var(5+ol,:,:) + q(6,7) * var(6+ol,:,:) + &
- q(8,7) * var(8+ol,:,:) + q(9,7) * var(9+ol,:,:) + &
- q(10,7) * var(10+ol,:,:) + q(11,7) * var(11+ol,:,:) ) * idel
+ q(3,7) * var(3+ol,:,:) + q(4,7) * var(4+ol,:,:) + &
+ q(5,7) * var(5+ol,:,:) + q(6,7) * var(6+ol,:,:) + &
+ q(8,7) * var(8+ol,:,:) + q(9,7) * var(9+ol,:,:) + &
+ q(10,7) * var(10+ol,:,:) + q(11,7) * var(11+ol,:,:) ) * idel
dvar(8+ol,:,:) = ( q(1,8) * var(1+ol,:,:) + q(2,8) * var(2+ol,:,:) + &
- q(3,8) * var(3+ol,:,:) + q(4,8) * var(4+ol,:,:) + &
- q(5,8) * var(5+ol,:,:) + q(6,8) * var(6+ol,:,:) + &
- q(7,8) * var(7+ol,:,:) + q(9,8) * var(9+ol,:,:) + &
- q(10,8) * var(10+ol,:,:) + q(11,8) * var(11+ol,:,:) + &
- q(12,8) * var(12+ol,:,:) ) * idel
+ q(3,8) * var(3+ol,:,:) + q(4,8) * var(4+ol,:,:) + &
+ q(5,8) * var(5+ol,:,:) + q(6,8) * var(6+ol,:,:) + &
+ q(7,8) * var(7+ol,:,:) + q(9,8) * var(9+ol,:,:) + &
+ q(10,8) * var(10+ol,:,:) + q(11,8) * var(11+ol,:,:) + &
+ q(12,8) * var(12+ol,:,:) ) * idel
il = 9 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
- dvar(ni-or,:,:) = - ( q(1,1) * var(ni-or,:,:) + q(2,1) * var(ni-1-or,:,:) + &
- q(3,1) * var(ni-2-or,:,:) + q(4,1) * var(ni-3-or,:,:) + &
- q(5,1) * var(ni-4-or,:,:) + q(6,1) * var(ni-5-or,:,:) + &
- q(7,1) * var(ni-6-or,:,:) + &
- q(8,1) * var(ni-7-or,:,:) ) * idel
- dvar(ni-1-or,:,:) = - ( q(1,2) * var(ni-or,:,:) + q(3,2) * var(ni-2-or,:,:) + &
- q(4,2) * var(ni-3-or,:,:) + q(5,2) * var(ni-4-or,:,:) + &
- q(6,2) * var(ni-5-or,:,:) + q(7,2) * var(ni-6-or,:,:) + &
- q(8,2) * var(ni-7-or,:,:) ) * idel
- dvar(ni-2-or,:,:) = - ( q(1,3) * var(ni-or,:,:) + q(2,3) * var(ni-1-or,:,:) + &
- q(4,3) * var(ni-3-or,:,:) + q(5,3) * var(ni-4-or,:,:) + &
- q(6,3) * var(ni-5-or,:,:) + q(7,3) * var(ni-6-or,:,:) + &
- q(8,3) * var(ni-7-or,:,:) ) * idel
- dvar(ni-3-or,:,:) = - ( q(1,4) * var(ni-or,:,:) + q(2,4) * var(ni-1-or,:,:) + &
- q(3,4) * var(ni-2-or,:,:) + q(5,4) * var(ni-4-or,:,:) + &
- q(6,4) * var(ni-5-or,:,:) + q(7,4) * var(ni-6-or,:,:) + &
- q(8,4) * var(ni-7-or,:,:) ) * idel
- dvar(ni-4-or,:,:) = - ( q(1,5) * var(ni-or,:,:) + q(2,5) * var(ni-1-or,:,:) + &
- q(3,5) * var(ni-2-or,:,:) + q(4,5) * var(ni-3-or,:,:) + &
- q(6,5) * var(ni-5-or,:,:) + q(7,5) * var(ni-6-or,:,:) + &
- q(8,5) * var(ni-7-or,:,:) + &
- q(9,5) * var(ni-8-or,:,:) ) * idel
- dvar(ni-5-or,:,:) = - ( q(1,6) * var(ni-or,:,:) + q(2,6) * var(ni-1-or,:,:) + &
- q(3,6) * var(ni-2-or,:,:) + q(4,6) * var(ni-3-or,:,:) + &
- q(5,6) * var(ni-4-or,:,:) + q(7,6) * var(ni-6-or,:,:) + &
- q(8,6) * var(ni-7-or,:,:) + q(9,6) * var(ni-8-or,:,:) + &
- q(10,6) * var(ni-9-or,:,:) ) * idel
- dvar(ni-6-or,:,:) = - ( q(1,7) * var(ni-or,:,:) + q(2,7) * var(ni-1-or,:,:) + &
- q(3,7) * var(ni-2-or,:,:) + q(4,7) * var(ni-3-or,:,:) + &
- q(5,7) * var(ni-4-or,:,:) + q(6,7) * var(ni-5-or,:,:) + &
- q(8,7) * var(ni-7-or,:,:) + q(9,7) * var(ni-8-or,:,:) + &
- q(10,7) * var(ni-9-or,:,:) + &
- q(11,7) * var(ni-10-or,:,:) ) * idel
- dvar(ni-7-or,:,:) = - ( q(1,8) * var(ni-or,:,:) + q(2,8) * var(ni-1-or,:,:) + &
- q(3,8) * var(ni-2-or,:,:) + q(4,8) * var(ni-3-or,:,:) + &
- q(5,8) * var(ni-4-or,:,:) + q(6,8) * var(ni-5-or,:,:) + &
- q(7,8) * var(ni-6-or,:,:) + q(9,8) * var(ni-8-or,:,:) + &
- q(10,8) * var(ni-9-or,:,:) + &
- q(11,8) * var(ni-10-or,:,:) + &
- q(12,8) * var(ni-11-or,:,:) ) * idel
- ir = ni - 8 - or
+ or = ni - offset(2)
+ dvar(or,:,:) = - ( q(1,1) * var(or,:,:) + q(2,1) * var(or-1,:,:) + &
+ q(3,1) * var(or-2,:,:) + q(4,1) * var(or-3,:,:) + &
+ q(5,1) * var(or-4,:,:) + q(6,1) * var(or-5,:,:) + &
+ q(7,1) * var(or-6,:,:) + &
+ q(8,1) * var(or-7,:,:) ) * idel
+ dvar(or-1,:,:) = - ( q(1,2) * var(or,:,:) + q(3,2) * var(or-2,:,:) + &
+ q(4,2) * var(or-3,:,:) + q(5,2) * var(or-4,:,:) + &
+ q(6,2) * var(or-5,:,:) + q(7,2) * var(or-6,:,:) + &
+ q(8,2) * var(or-7,:,:) ) * idel
+ dvar(or-2,:,:) = - ( q(1,3) * var(or,:,:) + q(2,3) * var(or-1,:,:) + &
+ q(4,3) * var(or-3,:,:) + q(5,3) * var(or-4,:,:) + &
+ q(6,3) * var(or-5,:,:) + q(7,3) * var(or-6,:,:) + &
+ q(8,3) * var(or-7,:,:) ) * idel
+ dvar(or-3,:,:) = - ( q(1,4) * var(or,:,:) + q(2,4) * var(or-1,:,:) + &
+ q(3,4) * var(or-2,:,:) + q(5,4) * var(or-4,:,:) + &
+ q(6,4) * var(or-5,:,:) + q(7,4) * var(or-6,:,:) + &
+ q(8,4) * var(or-7,:,:) ) * idel
+ dvar(or-4,:,:) = - ( q(1,5) * var(or,:,:) + q(2,5) * var(or-1,:,:) + &
+ q(3,5) * var(or-2,:,:) + q(4,5) * var(or-3,:,:) + &
+ q(6,5) * var(or-5,:,:) + q(7,5) * var(or-6,:,:) + &
+ q(8,5) * var(or-7,:,:) + &
+ q(9,5) * var(or-8,:,:) ) * idel
+ dvar(or-5,:,:) = - ( q(1,6) * var(or,:,:) + q(2,6) * var(or-1,:,:) + &
+ q(3,6) * var(or-2,:,:) + q(4,6) * var(or-3,:,:) + &
+ q(5,6) * var(or-4,:,:) + q(7,6) * var(or-6,:,:) + &
+ q(8,6) * var(or-7,:,:) + q(9,6) * var(or-8,:,:) + &
+ q(10,6) * var(or-9,:,:) ) * idel
+ dvar(or-6,:,:) = - ( q(1,7) * var(or,:,:) + q(2,7) * var(or-1,:,:) + &
+ q(3,7) * var(or-2,:,:) + q(4,7) * var(or-3,:,:) + &
+ q(5,7) * var(or-4,:,:) + q(6,7) * var(or-5,:,:) + &
+ q(8,7) * var(or-7,:,:) + q(9,7) * var(or-8,:,:) + &
+ q(10,7) * var(or-9,:,:) + &
+ q(11,7) * var(or-10,:,:) ) * idel
+ dvar(or-7,:,:) = - ( q(1,8) * var(or,:,:) + q(2,8) * var(or-1,:,:) + &
+ q(3,8) * var(or-2,:,:) + q(4,8) * var(or-3,:,:) + &
+ q(5,8) * var(or-4,:,:) + q(6,8) * var(or-5,:,:) + &
+ q(7,8) * var(or-6,:,:) + q(9,8) * var(or-8,:,:) + &
+ q(10,8) * var(or-9,:,:) + &
+ q(11,8) * var(or-10,:,:) + &
+ q(12,8) * var(or-11,:,:) ) * idel
+ ir = or - 8
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - &
@@ -136,13 +137,13 @@ subroutine deriv_gf_8_4_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dv
a(4) * ( var(il+4:ir+4,:,:) - &
var(il-4:ir-4,:,:) ) ) * idel
case (1) direction
- ol = offset(1); or = offset(2)
if ( zero_derivs_y /= 0 ) then
dvar = zero
else
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
+ ol = offset(1)
dvar(:,1+ol,:) = ( q(1,1) * var(:,1+ol,:) + q(2,1) * var(:,2+ol,:) + &
q(3,1) * var(:,3+ol,:) + q(4,1) * var(:,4+ol,:) + &
q(5,1) * var(:,5+ol,:) + q(6,1) * var(:,6+ol,:) + &
@@ -184,47 +185,48 @@ subroutine deriv_gf_8_4_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dv
if ( bb(2) == 0 ) then
jr = nj - gsize
else
- dvar(:,nj-or,:) = - ( q(1,1) * var(:,nj-or,:) + q(2,1) * var(:,nj-1-or,:) + &
- q(3,1) * var(:,nj-2-or,:) + q(4,1) * var(:,nj-3-or,:) + &
- q(5,1) * var(:,nj-4-or,:) + q(6,1) * var(:,nj-5-or,:) + &
- q(7,1) * var(:,nj-6-or,:) + &
- q(8,1) * var(:,nj-7-or,:) ) * idel
- dvar(:,nj-1-or,:) = - ( q(1,2) * var(:,nj-or,:) + q(3,2) * var(:,nj-2-or,:) + &
- q(4,2) * var(:,nj-3-or,:) + q(5,2) * var(:,nj-4-or,:) + &
- q(6,2) * var(:,nj-5-or,:) + q(7,2) * var(:,nj-6-or,:) + &
- q(8,2) * var(:,nj-7-or,:) ) * idel
- dvar(:,nj-2-or,:) = - ( q(1,3) * var(:,nj-or,:) + q(2,3) * var(:,nj-1-or,:) + &
- q(4,3) * var(:,nj-3-or,:) + q(5,3) * var(:,nj-4-or,:) + &
- q(6,3) * var(:,nj-5-or,:) + q(7,3) * var(:,nj-6-or,:) + &
- q(8,3) * var(:,nj-7-or,:) ) * idel
- dvar(:,nj-3-or,:) = - ( q(1,4) * var(:,nj-or,:) + q(2,4) * var(:,nj-1-or,:) + &
- q(3,4) * var(:,nj-2-or,:) + q(5,4) * var(:,nj-4-or,:) + &
- q(6,4) * var(:,nj-5-or,:) + q(7,4) * var(:,nj-6-or,:) + &
- q(8,4) * var(:,nj-7-or,:) ) * idel
- dvar(:,nj-4-or,:) = - ( q(1,5) * var(:,nj-or,:) + q(2,5) * var(:,nj-1-or,:) + &
- q(3,5) * var(:,nj-2-or,:) + q(4,5) * var(:,nj-3-or,:) + &
- q(6,5) * var(:,nj-5-or,:) + q(7,5) * var(:,nj-6-or,:) + &
- q(8,5) * var(:,nj-7-or,:) + &
- q(9,5) * var(:,nj-8-or,:) ) * idel
- dvar(:,nj-5-or,:) = - ( q(1,6) * var(:,nj-or,:) + q(2,6) * var(:,nj-1-or,:) + &
- q(3,6) * var(:,nj-2-or,:) + q(4,6) * var(:,nj-3-or,:) + &
- q(5,6) * var(:,nj-4-or,:) + q(7,6) * var(:,nj-6-or,:) + &
- q(8,6) * var(:,nj-7-or,:) + q(9,6) * var(:,nj-8-or,:) + &
- q(10,6) * var(:,nj-9-or,:) ) * idel
- dvar(:,nj-6-or,:) = - ( q(1,7) * var(:,nj-or,:) + q(2,7) * var(:,nj-1-or,:) + &
- q(3,7) * var(:,nj-2-or,:) + q(4,7) * var(:,nj-3-or,:) + &
- q(5,7) * var(:,nj-4-or,:) + q(6,7) * var(:,nj-5-or,:) + &
- q(8,7) * var(:,nj-7-or,:) + q(9,7) * var(:,nj-8-or,:) + &
- q(10,7) * var(:,nj-9-or,:) + &
- q(11,7) * var(:,nj-10-or,:) ) * idel
- dvar(:,nj-7-or,:) = - ( q(1,8) * var(:,nj-or,:) + q(2,8) * var(:,nj-1-or,:) + &
- q(3,8) * var(:,nj-2-or,:) + q(4,8) * var(:,nj-3-or,:) + &
- q(5,8) * var(:,nj-4-or,:) + q(6,8) * var(:,nj-5-or,:) + &
- q(7,8) * var(:,nj-6-or,:) + q(9,8) * var(:,nj-8-or,:) + &
- q(10,8) * var(:,nj-9-or,:) + &
- q(11,8) * var(:,nj-10-or,:) + &
- q(12,8) * var(:,nj-11-or,:) ) * idel
- jr = nj - 8 - or
+ or = nj - offset(2)
+ dvar(:,or,:) = - ( q(1,1) * var(:,or,:) + q(2,1) * var(:,or-1,:) + &
+ q(3,1) * var(:,or-2,:) + q(4,1) * var(:,or-3,:) + &
+ q(5,1) * var(:,or-4,:) + q(6,1) * var(:,or-5,:) + &
+ q(7,1) * var(:,or-6,:) + &
+ q(8,1) * var(:,or-7,:) ) * idel
+ dvar(:,or-1,:) = - ( q(1,2) * var(:,or,:) + q(3,2) * var(:,or-2,:) + &
+ q(4,2) * var(:,or-3,:) + q(5,2) * var(:,or-4,:) + &
+ q(6,2) * var(:,or-5,:) + q(7,2) * var(:,or-6,:) + &
+ q(8,2) * var(:,or-7,:) ) * idel
+ dvar(:,or-2,:) = - ( q(1,3) * var(:,or,:) + q(2,3) * var(:,or-1,:) + &
+ q(4,3) * var(:,or-3,:) + q(5,3) * var(:,or-4,:) + &
+ q(6,3) * var(:,or-5,:) + q(7,3) * var(:,or-6,:) + &
+ q(8,3) * var(:,or-7,:) ) * idel
+ dvar(:,or-3,:) = - ( q(1,4) * var(:,or,:) + q(2,4) * var(:,or-1,:) + &
+ q(3,4) * var(:,or-2,:) + q(5,4) * var(:,or-4,:) + &
+ q(6,4) * var(:,or-5,:) + q(7,4) * var(:,or-6,:) + &
+ q(8,4) * var(:,or-7,:) ) * idel
+ dvar(:,or-4,:) = - ( q(1,5) * var(:,or,:) + q(2,5) * var(:,or-1,:) + &
+ q(3,5) * var(:,or-2,:) + q(4,5) * var(:,or-3,:) + &
+ q(6,5) * var(:,or-5,:) + q(7,5) * var(:,or-6,:) + &
+ q(8,5) * var(:,or-7,:) + &
+ q(9,5) * var(:,or-8,:) ) * idel
+ dvar(:,or-5,:) = - ( q(1,6) * var(:,or,:) + q(2,6) * var(:,or-1,:) + &
+ q(3,6) * var(:,or-2,:) + q(4,6) * var(:,or-3,:) + &
+ q(5,6) * var(:,or-4,:) + q(7,6) * var(:,or-6,:) + &
+ q(8,6) * var(:,or-7,:) + q(9,6) * var(:,or-8,:) + &
+ q(10,6) * var(:,or-9,:) ) * idel
+ dvar(:,or-6,:) = - ( q(1,7) * var(:,or,:) + q(2,7) * var(:,or-1,:) + &
+ q(3,7) * var(:,or-2,:) + q(4,7) * var(:,or-3,:) + &
+ q(5,7) * var(:,or-4,:) + q(6,7) * var(:,or-5,:) + &
+ q(8,7) * var(:,or-7,:) + q(9,7) * var(:,or-8,:) + &
+ q(10,7) * var(:,or-9,:) + &
+ q(11,7) * var(:,or-10,:) ) * idel
+ dvar(:,or-7,:) = - ( q(1,8) * var(:,or,:) + q(2,8) * var(:,or-1,:) + &
+ q(3,8) * var(:,or-2,:) + q(4,8) * var(:,or-3,:) + &
+ q(5,8) * var(:,or-4,:) + q(6,8) * var(:,or-5,:) + &
+ q(7,8) * var(:,or-6,:) + q(9,8) * var(:,or-8,:) + &
+ q(10,8) * var(:,or-9,:) + &
+ q(11,8) * var(:,or-10,:) + &
+ q(12,8) * var(:,or-11,:) ) * idel
+ jr = or - 8
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - &
@@ -237,13 +239,13 @@ subroutine deriv_gf_8_4_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dv
var(:,jl-4:jr-4,:) ) ) * idel
end if
case (2) direction
- ol = offset(1); or = offset(2)
if ( zero_derivs_z /= 0 ) then
dvar = zero
else
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
+ ol = offset(1)
dvar(:,:,1+ol) = ( q(1,1) * var(:,:,1+ol) + q(2,1) * var(:,:,2+ol) + &
q(3,1) * var(:,:,3+ol) + q(4,1) * var(:,:,4+ol) + &
q(5,1) * var(:,:,5+ol) + q(6,1) * var(:,:,6+ol) + &
@@ -285,47 +287,48 @@ subroutine deriv_gf_8_4_opt ( var, ni, nj, nk, dir, bb, gsize, offset, delta, dv
if ( bb(2) == 0 ) then
kr = nk - gsize
else
- dvar(:,:,nk-or) = - ( q(1,1) * var(:,:,nk-or) + q(2,1) * var(:,:,nk-1-or) + &
- q(3,1) * var(:,:,nk-2-or) + q(4,1) * var(:,:,nk-3-or) + &
- q(5,1) * var(:,:,nk-4-or) + q(6,1) * var(:,:,nk-5-or) + &
- q(7,1) * var(:,:,nk-6-or) + &
- q(8,1) * var(:,:,nk-7-or) ) * idel
- dvar(:,:,nk-1-or) = - ( q(1,2) * var(:,:,nk-or) + q(3,2) * var(:,:,nk-2-or) + &
- q(4,2) * var(:,:,nk-3-or) + q(5,2) * var(:,:,nk-4-or) + &
- q(6,2) * var(:,:,nk-5-or) + q(7,2) * var(:,:,nk-6-or) + &
- q(8,2) * var(:,:,nk-7-or) ) * idel
- dvar(:,:,nk-2-or) = - ( q(1,3) * var(:,:,nk-or) + q(2,3) * var(:,:,nk-1-or) + &
- q(4,3) * var(:,:,nk-3-or) + q(5,3) * var(:,:,nk-4-or) + &
- q(6,3) * var(:,:,nk-5-or) + q(7,3) * var(:,:,nk-6-or) + &
- q(8,3) * var(:,:,nk-7-or) ) * idel
- dvar(:,:,nk-3-or) = - ( q(1,4) * var(:,:,nk-or) + q(2,4) * var(:,:,nk-1-or) + &
- q(3,4) * var(:,:,nk-2-or) + q(5,4) * var(:,:,nk-4-or) + &
- q(6,4) * var(:,:,nk-5-or) + q(7,4) * var(:,:,nk-6-or) + &
- q(8,4) * var(:,:,nk-7-or) ) * idel
- dvar(:,:,nk-4-or) = - ( q(1,5) * var(:,:,nk-or) + q(2,5) * var(:,:,nk-1-or) + &
- q(3,5) * var(:,:,nk-2-or) + q(4,5) * var(:,:,nk-3-or) + &
- q(6,5) * var(:,:,nk-5-or) + q(7,5) * var(:,:,nk-6-or) + &
- q(8,5) * var(:,:,nk-7-or) + &
- q(9,5) * var(:,:,nk-8-or) ) * idel
- dvar(:,:,nk-5-or) = - ( q(1,6) * var(:,:,nk-or) + q(2,6) * var(:,:,nk-1-or) + &
- q(3,6) * var(:,:,nk-2-or) + q(4,6) * var(:,:,nk-3-or) + &
- q(5,6) * var(:,:,nk-4-or) + q(7,6) * var(:,:,nk-6-or) + &
- q(8,6) * var(:,:,nk-7-or) + q(9,6) * var(:,:,nk-8-or) + &
- q(10,6) * var(:,:,nk-9-or) ) * idel
- dvar(:,:,nk-6-or) = - ( q(1,7) * var(:,:,nk-or) + q(2,7) * var(:,:,nk-1-or) + &
- q(3,7) * var(:,:,nk-2-or) + q(4,7) * var(:,:,nk-3-or) + &
- q(5,7) * var(:,:,nk-4-or) + q(6,7) * var(:,:,nk-5-or) + &
- q(8,7) * var(:,:,nk-7-or) + q(9,7) * var(:,:,nk-8-or) + &
- q(10,7) * var(:,:,nk-9-or) + &
- q(11,7) * var(:,:,nk-10-or) ) * idel
- dvar(:,:,nk-7-or) = - ( q(1,8) * var(:,:,nk-or) + q(2,8) * var(:,:,nk-1-or) + &
- q(3,8) * var(:,:,nk-2-or) + q(4,8) * var(:,:,nk-3-or) + &
- q(5,8) * var(:,:,nk-4-or) + q(6,8) * var(:,:,nk-5-or) + &
- q(7,8) * var(:,:,nk-6-or) + q(9,8) * var(:,:,nk-8-or) + &
- q(10,8) * var(:,:,nk-9-or) + &
- q(11,8) * var(:,:,nk-10-or) + &
- q(12,8) * var(:,:,nk-11-or) ) * idel
- kr = nk - 8 - or
+ or = nk - offset(2)
+ dvar(:,:,or) = - ( q(1,1) * var(:,:,or) + q(2,1) * var(:,:,or-1) + &
+ q(3,1) * var(:,:,or-2) + q(4,1) * var(:,:,or-3) + &
+ q(5,1) * var(:,:,or-4) + q(6,1) * var(:,:,or-5) + &
+ q(7,1) * var(:,:,or-6) + &
+ q(8,1) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-1) = - ( q(1,2) * var(:,:,or) + q(3,2) * var(:,:,or-2) + &
+ q(4,2) * var(:,:,or-3) + q(5,2) * var(:,:,or-4) + &
+ q(6,2) * var(:,:,or-5) + q(7,2) * var(:,:,or-6) + &
+ q(8,2) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-2) = - ( q(1,3) * var(:,:,or) + q(2,3) * var(:,:,or-1) + &
+ q(4,3) * var(:,:,or-3) + q(5,3) * var(:,:,or-4) + &
+ q(6,3) * var(:,:,or-5) + q(7,3) * var(:,:,or-6) + &
+ q(8,3) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-3) = - ( q(1,4) * var(:,:,or) + q(2,4) * var(:,:,or-1) + &
+ q(3,4) * var(:,:,or-2) + q(5,4) * var(:,:,or-4) + &
+ q(6,4) * var(:,:,or-5) + q(7,4) * var(:,:,or-6) + &
+ q(8,4) * var(:,:,or-7) ) * idel
+ dvar(:,:,or-4) = - ( q(1,5) * var(:,:,or) + q(2,5) * var(:,:,or-1) + &
+ q(3,5) * var(:,:,or-2) + q(4,5) * var(:,:,or-3) + &
+ q(6,5) * var(:,:,or-5) + q(7,5) * var(:,:,or-6) + &
+ q(8,5) * var(:,:,or-7) + &
+ q(9,5) * var(:,:,or-8) ) * idel
+ dvar(:,:,or-5) = - ( q(1,6) * var(:,:,or) + q(2,6) * var(:,:,or-1) + &
+ q(3,6) * var(:,:,or-2) + q(4,6) * var(:,:,or-3) + &
+ q(5,6) * var(:,:,or-4) + q(7,6) * var(:,:,or-6) + &
+ q(8,6) * var(:,:,or-7) + q(9,6) * var(:,:,or-8) + &
+ q(10,6) * var(:,:,or-9) ) * idel
+ dvar(:,:,or-6) = - ( q(1,7) * var(:,:,or) + q(2,7) * var(:,:,or-1) + &
+ q(3,7) * var(:,:,or-2) + q(4,7) * var(:,:,or-3) + &
+ q(5,7) * var(:,:,or-4) + q(6,7) * var(:,:,or-5) + &
+ q(8,7) * var(:,:,or-7) + q(9,7) * var(:,:,or-8) + &
+ q(10,7) * var(:,:,or-9) + &
+ q(11,7) * var(:,:,or-10) ) * idel
+ dvar(:,:,or-7) = - ( q(1,8) * var(:,:,or) + q(2,8) * var(:,:,or-1) + &
+ q(3,8) * var(:,:,or-2) + q(4,8) * var(:,:,or-3) + &
+ q(5,8) * var(:,:,or-4) + q(6,8) * var(:,:,or-5) + &
+ q(7,8) * var(:,:,or-6) + q(9,8) * var(:,:,or-8) + &
+ q(10,8) * var(:,:,or-9) + &
+ q(11,8) * var(:,:,or-10) + &
+ q(12,8) * var(:,:,or-11) ) * idel
+ kr = or - 8
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - &
diff --git a/src/Dissipation_2_1.F90 b/src/Dissipation_2_1.F90
index d6a3d5e..8d67996 100644
--- a/src/Dissipation_2_1.F90
+++ b/src/Dissipation_2_1.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(3,2) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -35,24 +36,26 @@ subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) ) * idel
-
- il = 3
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) ) * idel
+
+ il = 3 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) ) * idel
-
- ir = ni - 2
+ or = ni - offset(2)
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) ) * idel
+
+ ir = or - 2
end if
!$omp parallel workshare
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
@@ -73,24 +76,26 @@ subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) ) * idel
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) ) * idel
- jl = 3
+ jl = 3 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) ) * idel
- jr = nj - 2
+ jr = or - 2
end if
!$omp parallel workshare
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
@@ -112,24 +117,26 @@ subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) ) * idel
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) ) * idel
- kl = 3
+ kl = 3 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) ) * idel
+ or = nk - offset(6)
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) ) * idel
- kr = nk - 2
+ kr = or - 2
end if
!$omp parallel workshare
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
diff --git a/src/Dissipation_2_1_alt.F90 b/src/Dissipation_2_1_alt.F90
index 9992b6c..3501cdf 100644
--- a/src/Dissipation_2_1_alt.F90
+++ b/src/Dissipation_2_1_alt.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(4,2) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -31,26 +32,28 @@ subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) ) * idel
-
- il = 3
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) ) * idel
+
+ il = 3 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) ) * idel
-
- ir = ni - 2
+ or = ni - offset(2)
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) ) * idel
+
+ ir = or - 2
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -6.0_wp * var(il:ir,:,:) + &
@@ -67,26 +70,28 @@ subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) ) * idel
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) ) * idel
- jl = 3
+ jl = 3 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) ) * idel
- jr = nj - 2
+ jr = or - 2
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -6.0_wp * var(:,jl:jr,:) + &
@@ -104,26 +109,28 @@ subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) ) * idel
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) ) * idel
- kl = 3
+ kl = 3 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) ) * idel
+ or = nk - offset(6)
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) ) * idel
- kr = nk - 2
+ kr = or - 2
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -6.0_wp * var(:,:,kl:kr) + &
diff --git a/src/Dissipation_4_2.F90 b/src/Dissipation_4_2.F90
index 84746e7..d2c6d89 100644
--- a/src/Dissipation_4_2.F90
+++ b/src/Dissipation_4_2.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(6,4) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -35,46 +36,48 @@ subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
+ ol = offset(1)
!$omp parallel workshare
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(2,4) * var(2,:,:) + a(3,4) * var(3,:,:) + &
- a(4,4) * var(4,:,:) + a(5,4) * var(5,:,:) + &
- a(6,4) * var(6,:,:) ) * idel
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(2,4) * var(2+ol,:,:) + a(3,4) * var(3+ol,:,:) + &
+ a(4,4) * var(4+ol,:,:) + a(5,4) * var(5+ol,:,:) + &
+ a(6,4) * var(6+ol,:,:) ) * idel
!$omp end parallel workshare
- il = 5
+ il = 5 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
+ or = ni - offset(2)
!$omp parallel workshare
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(2,4) * var(ni-1,:,:) + a(3,4) * var(ni-2,:,:) + &
- a(4,4) * var(ni-3,:,:) + a(5,4) * var(ni-4,:,:) + &
- a(6,4) * var(ni-5,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + &
- a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + &
- a(5,3) * var(ni-4,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(2,4) * var(or-1,:,:) + a(3,4) * var(or-2,:,:) + &
+ a(4,4) * var(or-3,:,:) + a(5,4) * var(or-4,:,:) + &
+ a(6,4) * var(or-5,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
+ a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
+ a(5,3) * var(or-4,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) ) * idel
!$omp end parallel workshare
- ir = ni - 4
+ ir = or - 4
end if
!$omp parallel workshare
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
@@ -97,46 +100,48 @@ subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
+ ol = offset(3)
!$omp parallel workshare
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(2,4) * var(:,2,:) + a(3,4) * var(:,3,:) + &
- a(4,4) * var(:,4,:) + a(5,4) * var(:,5,:) + &
- a(6,4) * var(:,6,:) ) * idel
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(2,4) * var(:,2+ol,:) + a(3,4) * var(:,3+ol,:) + &
+ a(4,4) * var(:,4+ol,:) + a(5,4) * var(:,5+ol,:) + &
+ a(6,4) * var(:,6+ol,:) ) * idel
!$omp end parallel workshare
- jl = 5
+ jl = 5 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
+ or = nj - offset(4)
!$omp parallel workshare
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(2,4) * var(:,nj-1,:) + a(3,4) * var(:,nj-2,:) + &
- a(4,4) * var(:,nj-3,:) + a(5,4) * var(:,nj-4,:) + &
- a(6,4) * var(:,nj-5,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + &
- a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + &
- a(5,3) * var(:,nj-4,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(2,4) * var(:,or-1,:) + a(3,4) * var(:,or-2,:) + &
+ a(4,4) * var(:,or-3,:) + a(5,4) * var(:,or-4,:) + &
+ a(6,4) * var(:,or-5,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
+ a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
+ a(5,3) * var(:,or-4,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) ) * idel
!$omp end parallel workshare
- jr = nj - 4
+ jr = or - 4
end if
!$omp parallel workshare
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
@@ -160,46 +165,48 @@ subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
+ ol = offset(5)
!$omp parallel workshare
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(2,4) * var(:,:,2) + a(3,4) * var(:,:,3) + &
- a(4,4) * var(:,:,4) + a(5,4) * var(:,:,5) + &
- a(6,4) * var(:,:,6) ) * idel
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(2,4) * var(:,:,2+ol) + a(3,4) * var(:,:,3+ol) + &
+ a(4,4) * var(:,:,4+ol) + a(5,4) * var(:,:,5+ol) + &
+ a(6,4) * var(:,:,6+ol) ) * idel
!$omp end parallel workshare
- kl = 5
+ kl = 5 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
+ or = nk - offset(6)
!$omp parallel workshare
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(2,4) * var(:,:,nk-1) + a(3,4) * var(:,:,nk-2) + &
- a(4,4) * var(:,:,nk-3) + a(5,4) * var(:,:,nk-4) + &
- a(6,4) * var(:,:,nk-5) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + &
- a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + &
- a(5,3) * var(:,:,nk-4) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(2,4) * var(:,:,or-1) + a(3,4) * var(:,:,or-2) + &
+ a(4,4) * var(:,:,or-3) + a(5,4) * var(:,:,or-4) + &
+ a(6,4) * var(:,:,or-5) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
+ a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
+ a(5,3) * var(:,:,or-4) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) ) * idel
!$omp end parallel workshare
- kr = nk - 4
+ kr = or - 4
end if
!$omp parallel workshare
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
diff --git a/src/Dissipation_4_2_alt.F90 b/src/Dissipation_4_2_alt.F90
index feef10b..577ed39 100644
--- a/src/Dissipation_4_2_alt.F90
+++ b/src/Dissipation_4_2_alt.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(7,4) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -31,46 +32,48 @@ subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) ) * idel
-
- il = 5
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) ) * idel
+
+ il = 5 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(1,4) * var(ni,:,:) + a(2,4) * var(ni-1,:,:) + &
- a(3,4) * var(ni-2,:,:) + a(4,4) * var(ni-3,:,:) + &
- a(5,4) * var(ni-4,:,:) + a(6,4) * var(ni-5,:,:) + &
- a(7,4) * var(ni-6,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + &
- a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + &
- a(5,3) * var(ni-4,:,:) + a(6,3) * var(ni-5,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) + &
- a(5,2) * var(ni-4,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) + a(4,1) * var(ni-3,:,:) ) * idel
-
- ir = ni - 4
+ or = ni - offset(2)
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(1,4) * var(or,:,:) + a(2,4) * var(or-1,:,:) + &
+ a(3,4) * var(or-2,:,:) + a(4,4) * var(or-3,:,:) + &
+ a(5,4) * var(or-4,:,:) + a(6,4) * var(or-5,:,:) + &
+ a(7,4) * var(or-6,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
+ a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
+ a(5,3) * var(or-4,:,:) + a(6,3) * var(or-5,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) + &
+ a(5,2) * var(or-4,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) + a(4,1) * var(or-3,:,:) ) * idel
+
+ ir = or - 4
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -20.0_wp * var(il:ir,:,:) + &
@@ -89,46 +92,48 @@ subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) ) * idel
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) ) * idel
- jl = 5
+ jl = 5 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(1,4) * var(:,nj,:) + a(2,4) * var(:,nj-1,:) + &
- a(3,4) * var(:,nj-2,:) + a(4,4) * var(:,nj-3,:) + &
- a(5,4) * var(:,nj-4,:) + a(6,4) * var(:,nj-5,:) + &
- a(7,4) * var(:,nj-6,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + &
- a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + &
- a(5,3) * var(:,nj-4,:) + a(6,3) * var(:,nj-5,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) + &
- a(5,2) * var(:,nj-4,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) + a(4,1) * var(:,nj-3,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(1,4) * var(:,or,:) + a(2,4) * var(:,or-1,:) + &
+ a(3,4) * var(:,or-2,:) + a(4,4) * var(:,or-3,:) + &
+ a(5,4) * var(:,or-4,:) + a(6,4) * var(:,or-5,:) + &
+ a(7,4) * var(:,or-6,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
+ a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
+ a(5,3) * var(:,or-4,:) + a(6,3) * var(:,or-5,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) + &
+ a(5,2) * var(:,or-4,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) + a(4,1) * var(:,or-3,:) ) * idel
- jr = nj - 4
+ jr = or - 4
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -20.0_wp * var(:,jl:jr,:) + &
@@ -148,46 +153,48 @@ subroutine dissipation_4_2_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) ) * idel
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) ) * idel
- kl = 5
+ kl = 5 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(1,4) * var(:,:,nk) + a(2,4) * var(:,:,nk-1) + &
- a(3,4) * var(:,:,nk-2) + a(4,4) * var(:,:,nk-3) + &
- a(5,4) * var(:,:,nk-4) + a(6,4) * var(:,:,nk-5) + &
- a(7,4) * var(:,:,nk-6) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + &
- a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + &
- a(5,3) * var(:,:,nk-4) + a(6,3) * var(:,:,nk-5) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) + &
- a(5,2) * var(:,:,nk-4) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) + a(4,1) * var(:,:,nk-3) ) * idel
+ or = nk - offset(6)
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(1,4) * var(:,:,or) + a(2,4) * var(:,:,or-1) + &
+ a(3,4) * var(:,:,or-2) + a(4,4) * var(:,:,or-3) + &
+ a(5,4) * var(:,:,or-4) + a(6,4) * var(:,:,or-5) + &
+ a(7,4) * var(:,:,or-6) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
+ a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
+ a(5,3) * var(:,:,or-4) + a(6,3) * var(:,:,or-5) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) + &
+ a(5,2) * var(:,:,or-4) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) + a(4,1) * var(:,:,or-3) ) * idel
- kr = nk - 4
+ kr = or - 4
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -20.0_wp * var(:,:,kl:kr) + &
diff --git a/src/Dissipation_4_3_min_err_coeff.F90 b/src/Dissipation_4_3_min_err_coeff.F90
index 7aa79ef..bd6a11d 100644
--- a/src/Dissipation_4_3_min_err_coeff.F90
+++ b/src/Dissipation_4_3_min_err_coeff.F90
@@ -5,7 +5,7 @@
#include "cctk_Functions.h"
-subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
+subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, offset, &
delta, epsilon, dfl, npatches, patch, rhs)
use dissipation_coeff
@@ -21,12 +21,12 @@ subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
CCTK_REAL, dimension(3), intent(in) :: dfl
CCTK_INT, intent(in) :: npatches, patch
-
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
integer :: i, j, k
@@ -34,7 +34,8 @@ subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(:,:), pointer :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
+ CCTK_INT :: nii, njj, nkk
ni = lsh(1); nj = lsh(2); nk = lsh(3)
@@ -46,18 +47,26 @@ subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
end if
if ( .not. savedx(patch) ) then
- allocate ( atmp(ni,ni), d(ni,ni), b(ni,ni), h(ni,ni) )
+ nii = ni
+ if ( bb(1) /= 0 ) then
+ nii = nii - offset(1)
+ endif
+ if ( bb(2) /= 0 ) then
+ nii = nii - offset(2)
+ endif
+ allocate ( atmp(nii,nii), d(nii,nii), b(nii,nii), h(nii,nii) )
atmp = zero; d = zero; b = zero; h = zero
call set_dmatrix ( d, bb(1:2) )
- call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1), lbnd(1), delta(1), dfl(1) )
+ call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1)-offset(1)-offset(2), lbnd(1), delta(1), dfl(1) )
call set_hmatrix ( h, bb(1:2) )
+
atmp = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
- allocate ( xcoeff(patch)%coeff(ni,ni) )
+ allocate ( xcoeff(patch)%coeff(nii,nii) )
xcoeff(patch)%coeff = atmp
@@ -78,95 +87,115 @@ subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + &
- a(7,2) * var(7,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) ) * idel
- il = 6
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) + &
+ a(7,2) * var(7+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) ) * idel
+ il = 6 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(ni-6,ni-4) * var(ni-6,:,:) + &
- a(ni-5,ni-4) * var(ni-5,:,:) + &
- a(ni-4,ni-4) * var(ni-4,:,:) + &
- a(ni-3,ni-4) * var(ni-3,:,:) + &
- a(ni-2,ni-4) * var(ni-2,:,:) + &
- a(ni-1,ni-4) * var(ni-1,:,:) + &
- a(ni,ni-4) * var(ni,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(ni-6,ni-3) * var(ni-6,:,:) + &
- a(ni-5,ni-3) * var(ni-5,:,:) + &
- a(ni-4,ni-3) * var(ni-4,:,:) + &
- a(ni-3,ni-3) * var(ni-3,:,:) + &
- a(ni-2,ni-3) * var(ni-2,:,:) + &
- a(ni-1,ni-3) * var(ni-1,:,:) + &
- a(ni,ni-3) * var(ni,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(ni-6,ni-2) * var(ni-6,:,:) + &
- a(ni-5,ni-2) * var(ni-5,:,:) + &
- a(ni-4,ni-2) * var(ni-4,:,:) + &
- a(ni-3,ni-2) * var(ni-3,:,:) + &
- a(ni-2,ni-2) * var(ni-2,:,:) + &
- a(ni-1,ni-2) * var(ni-1,:,:) + &
- a(ni,ni-2) * var(ni,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(ni-6,ni-1) * var(ni-6,:,:) + &
- a(ni-5,ni-1) * var(ni-5,:,:) + &
- a(ni-4,ni-1) * var(ni-4,:,:) + &
- a(ni-3,ni-1) * var(ni-3,:,:) + &
- a(ni-2,ni-1) * var(ni-2,:,:) + &
- a(ni-1,ni-1) * var(ni-1,:,:) + &
- a(ni,ni-1) * var(ni,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(ni-2,ni) * var(ni-2,:,:) + &
- a(ni-1,ni) * var(ni-1,:,:) + &
- a(ni,ni) * var(ni,:,:) ) * idel
- ir = ni - 5
+ or = ni - offset(2)
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(nii-6,nii-4) * var(or-6,:,:) + &
+ a(nii-5,nii-4) * var(or-5,:,:) + &
+ a(nii-4,nii-4) * var(or-4,:,:) + &
+ a(nii-3,nii-4) * var(or-3,:,:) + &
+ a(nii-2,nii-4) * var(or-2,:,:) + &
+ a(nii-1,nii-4) * var(or-1,:,:) + &
+ a(nii,nii-4) * var(or,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(nii-6,nii-3) * var(or-6,:,:) + &
+ a(nii-5,nii-3) * var(or-5,:,:) + &
+ a(nii-4,nii-3) * var(or-4,:,:) + &
+ a(nii-3,nii-3) * var(or-3,:,:) + &
+ a(nii-2,nii-3) * var(or-2,:,:) + &
+ a(nii-1,nii-3) * var(or-1,:,:) + &
+ a(nii,nii-3) * var(or,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(nii-6,nii-2) * var(or-6,:,:) + &
+ a(nii-5,nii-2) * var(or-5,:,:) + &
+ a(nii-4,nii-2) * var(or-4,:,:) + &
+ a(nii-3,nii-2) * var(or-3,:,:) + &
+ a(nii-2,nii-2) * var(or-2,:,:) + &
+ a(nii-1,nii-2) * var(or-1,:,:) + &
+ a(nii,nii-2) * var(or,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(nii-6,nii-1) * var(or-6,:,:) + &
+ a(nii-5,nii-1) * var(or-5,:,:) + &
+ a(nii-4,nii-1) * var(or-4,:,:) + &
+ a(nii-3,nii-1) * var(or-3,:,:) + &
+ a(nii-2,nii-1) * var(or-2,:,:) + &
+ a(nii-1,nii-1) * var(or-1,:,:) + &
+ a(nii,nii-1) * var(or,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(nii-2,nii) * var(or-2,:,:) + &
+ a(nii-1,nii) * var(or-1,:,:) + &
+ a(nii,nii) * var(or,:,:) ) * idel
+ ir = or - 5
end if
- do i = il, ir
- rhs(i,:,:) = rhs(i,:,:) + &
- ( a(i-2,i) * var(i-2,:,:) + &
- a(i-1,i) * var(i-1,:,:) + &
- a(i,i) * var(i,:,:) + &
- a(i+1,i) * var(i+1,:,:) + &
- a(i+2,i) * var(i+2,:,:) ) * idel
- end do
+ if (bb(1) /= 0) then
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
+ ( a(i-ol-2,i-ol) * var(i-2,:,:) + &
+ a(i-ol-1,i-ol) * var(i-1,:,:) + &
+ a(i-ol,i-ol) * var(i,:,:) + &
+ a(i-ol+1,i-ol) * var(i+1,:,:) + &
+ a(i-ol+2,i-ol) * var(i+2,:,:) ) * idel
+ end do
+ else
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
+ ( a(i-2,i) * var(i-2,:,:) + &
+ a(i-1,i) * var(i-1,:,:) + &
+ a(i,i) * var(i,:,:) + &
+ a(i+1,i) * var(i+1,:,:) + &
+ a(i+2,i) * var(i+2,:,:) ) * idel
+ end do
+ endif
if ( zero_derivs_y == 0 ) then
if ( .not. savedy(patch) ) then
- allocate ( atmp(nj,nj), d(nj,nj), b(nj,nj), h(nj,nj) )
+ njj = nj
+ if ( bb(3) /= 0 ) then
+ njj = njj - offset(3)
+ endif
+ if ( bb(4) /= 0 ) then
+ njj = njj - offset(4)
+ endif
+ allocate ( atmp(njj,njj), d(njj,njj), b(njj,njj), h(njj,njj) )
atmp = zero; d = zero; b = zero; h = zero
call set_dmatrix ( d, bb(3:4) )
- call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2), lbnd(2), delta(2), dfl(2) )
+ call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2)-offset(3)-offset(4), lbnd(2), delta(2), dfl(2) )
call set_hmatrix ( h, bb(3:4) )
atmp = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
- allocate ( ycoeff(patch)%coeff(nj,nj) )
+ allocate ( ycoeff(patch)%coeff(njj,njj) )
ycoeff(patch)%coeff = atmp
@@ -187,98 +216,118 @@ subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + &
- a(7,2) * var(:,7,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) ) * idel
- jl = 6
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) + &
+ a(7,2) * var(:,7+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) ) * idel
+ jl = 6 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(nj-6,nj-4) * var(:,nj-6,:) + &
- a(nj-5,nj-4) * var(:,nj-5,:) + &
- a(nj-4,nj-4) * var(:,nj-4,:) + &
- a(nj-3,nj-4) * var(:,nj-3,:) + &
- a(nj-2,nj-4) * var(:,nj-2,:) + &
- a(nj-1,nj-4) * var(:,nj-1,:) + &
- a(nj,nj-4) * var(:,nj,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(nj-6,nj-3) * var(:,nj-6,:) + &
- a(nj-5,nj-3) * var(:,nj-5,:) + &
- a(nj-4,nj-3) * var(:,nj-4,:) + &
- a(nj-3,nj-3) * var(:,nj-3,:) + &
- a(nj-2,nj-3) * var(:,nj-2,:) + &
- a(nj-1,nj-3) * var(:,nj-1,:) + &
- a(nj,nj-3) * var(:,nj,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(nj-6,nj-2) * var(:,nj-6,:) + &
- a(nj-5,nj-2) * var(:,nj-5,:) + &
- a(nj-4,nj-2) * var(:,nj-4,:) + &
- a(nj-3,nj-2) * var(:,nj-3,:) + &
- a(nj-2,nj-2) * var(:,nj-2,:) + &
- a(nj-1,nj-2) * var(:,nj-1,:) + &
- a(nj,nj-2) * var(:,nj,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(nj-6,nj-1) * var(:,nj-6,:) + &
- a(nj-5,nj-1) * var(:,nj-5,:) + &
- a(nj-4,nj-1) * var(:,nj-4,:) + &
- a(nj-3,nj-1) * var(:,nj-3,:) + &
- a(nj-2,nj-1) * var(:,nj-2,:) + &
- a(nj-1,nj-1) * var(:,nj-1,:) + &
- a(nj,nj-1) * var(:,nj,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(nj-2,nj) * var(:,nj-2,:) + &
- a(nj-1,nj) * var(:,nj-1,:) + &
- a(nj,nj) * var(:,nj,:) ) * idel
- jr = nj - 5
+ or = nj - offset(4)
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(njj-6,njj-4) * var(:,or-6,:) + &
+ a(njj-5,njj-4) * var(:,or-5,:) + &
+ a(njj-4,njj-4) * var(:,or-4,:) + &
+ a(njj-3,njj-4) * var(:,or-3,:) + &
+ a(njj-2,njj-4) * var(:,or-2,:) + &
+ a(njj-1,njj-4) * var(:,or-1,:) + &
+ a(njj,njj-4) * var(:,or,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(njj-6,njj-3) * var(:,or-6,:) + &
+ a(njj-5,njj-3) * var(:,or-5,:) + &
+ a(njj-4,njj-3) * var(:,or-4,:) + &
+ a(njj-3,njj-3) * var(:,or-3,:) + &
+ a(njj-2,njj-3) * var(:,or-2,:) + &
+ a(njj-1,njj-3) * var(:,or-1,:) + &
+ a(njj,njj-3) * var(:,or,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(njj-6,njj-2) * var(:,or-6,:) + &
+ a(njj-5,njj-2) * var(:,or-5,:) + &
+ a(njj-4,njj-2) * var(:,or-4,:) + &
+ a(njj-3,njj-2) * var(:,or-3,:) + &
+ a(njj-2,njj-2) * var(:,or-2,:) + &
+ a(njj-1,njj-2) * var(:,or-1,:) + &
+ a(njj,njj-2) * var(:,or,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(njj-6,njj-1) * var(:,or-6,:) + &
+ a(njj-5,njj-1) * var(:,or-5,:) + &
+ a(njj-4,njj-1) * var(:,or-4,:) + &
+ a(njj-3,njj-1) * var(:,or-3,:) + &
+ a(njj-2,njj-1) * var(:,or-2,:) + &
+ a(njj-1,njj-1) * var(:,or-1,:) + &
+ a(njj,njj-1) * var(:,or,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(njj-2,njj) * var(:,or-2,:) + &
+ a(njj-1,njj) * var(:,or-1,:) + &
+ a(njj,njj) * var(:,or,:) ) * idel
+ jr = or - 5
end if
- do j = jl, jr
- rhs(:,j,:) = rhs(:,j,:) + &
- ( a(j-2,j) * var(:,j-2,:) + &
- a(j-1,j) * var(:,j-1,:) + &
- a(j,j) * var(:,j,:) + &
- a(j+1,j) * var(:,j+1,:) + &
- a(j+2,j) * var(:,j+2,:) ) * idel
- end do
+ if ( bb(3) /= 0 ) then
+ do j = jl, jr
+ rhs(:,j,:) = rhs(:,j,:) + &
+ ( a(j-ol-2,j-ol) * var(:,j-2,:) + &
+ a(j-ol-1,j-ol) * var(:,j-1,:) + &
+ a(j-ol,j-ol) * var(:,j,:) + &
+ a(j-ol+1,j-ol) * var(:,j+1,:) + &
+ a(j-ol+2,j-ol) * var(:,j+2,:) ) * idel
+ end do
+ else
+ do j = jl, jr
+ rhs(:,j,:) = rhs(:,j,:) + &
+ ( a(j-2,j) * var(:,j-2,:) + &
+ a(j-1,j) * var(:,j-1,:) + &
+ a(j,j) * var(:,j,:) + &
+ a(j+1,j) * var(:,j+1,:) + &
+ a(j+2,j) * var(:,j+2,:) ) * idel
+ end do
+ endif
end if
if ( zero_derivs_z == 0 ) then
if ( .not. savedz(patch) ) then
- allocate ( atmp(nk,nk), d(nk,nk), b(nk,nk), h(nk,nk) )
+ nkk = nk
+ if ( bb(5) /= 0 ) then
+ nkk = nkk - offset(5)
+ endif
+ if ( bb(6) /= 0 ) then
+ nkk = nkk - offset(6)
+ endif
+ allocate ( atmp(nkk,nkk), d(nkk,nkk), b(nkk,nkk), h(nkk,nkk) )
atmp = zero; d = zero; b = zero; h = zero
call set_dmatrix ( d, bb(5:6) )
- call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3), lbnd(3), delta(3), dfl(3) )
+ call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3)-offset(5)-offset(6), lbnd(3), delta(3), dfl(3) )
call set_hmatrix ( h, bb(5:6) )
atmp = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
- allocate ( zcoeff(patch)%coeff(nk,nk) )
+ allocate ( zcoeff(patch)%coeff(nkk,nkk) )
zcoeff(patch)%coeff = atmp
@@ -299,81 +348,94 @@ subroutine dissipation_4_3_opt (var, lsh, gsh, lbnd, bb, gsize, &
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + &
- a(7,2) * var(:,:,7) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) ) * idel
- kl = 6
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) + &
+ a(7,2) * var(:,:,7+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) ) * idel
+ kl = 6 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(nk-6,nk-4) * var(:,:,nk-6) + &
- a(nk-5,nk-4) * var(:,:,nk-5) + &
- a(nk-4,nk-4) * var(:,:,nk-4) + &
- a(nk-3,nk-4) * var(:,:,nk-3) + &
- a(nk-2,nk-4) * var(:,:,nk-2) + &
- a(nk-1,nk-4) * var(:,:,nk-1) + &
- a(nk,nk-4) * var(:,:,nk) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(nk-6,nk-3) * var(:,:,nk-6) + &
- a(nk-5,nk-3) * var(:,:,nk-5) + &
- a(nk-4,nk-3) * var(:,:,nk-4) + &
- a(nk-3,nk-3) * var(:,:,nk-3) + &
- a(nk-2,nk-3) * var(:,:,nk-2) + &
- a(nk-1,nk-3) * var(:,:,nk-1) + &
- a(nk,nk-3) * var(:,:,nk) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(nk-6,nk-2) * var(:,:,nk-6) + &
- a(nk-5,nk-2) * var(:,:,nk-5) + &
- a(nk-4,nk-2) * var(:,:,nk-4) + &
- a(nk-3,nk-2) * var(:,:,nk-3) + &
- a(nk-2,nk-2) * var(:,:,nk-2) + &
- a(nk-1,nk-2) * var(:,:,nk-1) + &
- a(nk,nk-2) * var(:,:,nk) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(nk-6,nk-1) * var(:,:,nk-6) + &
- a(nk-5,nk-1) * var(:,:,nk-5) + &
- a(nk-4,nk-1) * var(:,:,nk-4) + &
- a(nk-3,nk-1) * var(:,:,nk-3) + &
- a(nk-2,nk-1) * var(:,:,nk-2) + &
- a(nk-1,nk-1) * var(:,:,nk-1) + &
- a(nk,nk-1) * var(:,:,nk) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(nk-2,nk) * var(:,:,nk-2) + &
- a(nk-1,nk) * var(:,:,nk-1) + &
- a(nk,nk) * var(:,:,nk) ) * idel
- kr = nk - 5
+ or = nk - offset(6)
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(nkk-6,nkk-4) * var(:,:,or-6) + &
+ a(nkk-5,nkk-4) * var(:,:,or-5) + &
+ a(nkk-4,nkk-4) * var(:,:,or-4) + &
+ a(nkk-3,nkk-4) * var(:,:,or-3) + &
+ a(nkk-2,nkk-4) * var(:,:,or-2) + &
+ a(nkk-1,nkk-4) * var(:,:,or-1) + &
+ a(nkk,nkk-4) * var(:,:,or) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(nkk-6,nkk-3) * var(:,:,or-6) + &
+ a(nkk-5,nkk-3) * var(:,:,or-5) + &
+ a(nkk-4,nkk-3) * var(:,:,or-4) + &
+ a(nkk-3,nkk-3) * var(:,:,or-3) + &
+ a(nkk-2,nkk-3) * var(:,:,or-2) + &
+ a(nkk-1,nkk-3) * var(:,:,or-1) + &
+ a(nkk,nkk-3) * var(:,:,or) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(nkk-6,nkk-2) * var(:,:,or-6) + &
+ a(nkk-5,nkk-2) * var(:,:,or-5) + &
+ a(nkk-4,nkk-2) * var(:,:,or-4) + &
+ a(nkk-3,nkk-2) * var(:,:,or-3) + &
+ a(nkk-2,nkk-2) * var(:,:,or-2) + &
+ a(nkk-1,nkk-2) * var(:,:,or-1) + &
+ a(nkk,nkk-2) * var(:,:,or) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(nkk-6,nkk-1) * var(:,:,or-6) + &
+ a(nkk-5,nkk-1) * var(:,:,or-5) + &
+ a(nkk-4,nkk-1) * var(:,:,or-4) + &
+ a(nkk-3,nkk-1) * var(:,:,or-3) + &
+ a(nkk-2,nkk-1) * var(:,:,or-2) + &
+ a(nkk-1,nkk-1) * var(:,:,or-1) + &
+ a(nkk,nkk-1) * var(:,:,or) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(nkk-2,nkk) * var(:,:,or-2) + &
+ a(nkk-1,nkk) * var(:,:,or-1) + &
+ a(nkk,nkk) * var(:,:,or) ) * idel
+ kr = or - 5
end if
- do k = kl, kr
- rhs(:,:,k) = rhs(:,:,k) + &
- ( a(k-2,k) * var(:,:,k-2) + &
- a(k-1,k) * var(:,:,k-1) + &
- a(k,k) * var(:,:,k) + &
- a(k+1,k) * var(:,:,k+1) + &
- a(k+2,k) * var(:,:,k+2) ) * idel
- end do
+ if ( bb(5) /= 0) then
+ do k = kl, kr
+ rhs(:,:,k) = rhs(:,:,k) + &
+ ( a(k-ol-2,k-ol) * var(:,:,k-2) + &
+ a(k-ol-1,k-ol) * var(:,:,k-1) + &
+ a(k-ol,k-ol) * var(:,:,k) + &
+ a(k-ol+1,k-ol) * var(:,:,k+1) + &
+ a(k-ol+2,k-ol) * var(:,:,k+2) ) * idel
+ end do
+ else
+ do k = kl, kr
+ rhs(:,:,k) = rhs(:,:,k) + &
+ ( a(k-2,k) * var(:,:,k-2) + &
+ a(k-1,k) * var(:,:,k-1) + &
+ a(k,k) * var(:,:,k) + &
+ a(k+1,k) * var(:,:,k+1) + &
+ a(k+2,k) * var(:,:,k+2) ) * idel
+ end do
+ endif
end if
diff --git a/src/Dissipation_4_3_min_err_coeff_alt.F90 b/src/Dissipation_4_3_min_err_coeff_alt.F90
index 6dfb0b6..635f0ab 100644
--- a/src/Dissipation_4_3_min_err_coeff_alt.F90
+++ b/src/Dissipation_4_3_min_err_coeff_alt.F90
@@ -5,7 +5,7 @@
#include "cctk_Functions.h"
-subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
+subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, offset, &
delta, epsilon, dfl, npatches, patch, rhs)
use dissipation_coeff
@@ -21,6 +21,7 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
CCTK_REAL, dimension(3), intent(in) :: dfl
@@ -33,7 +34,8 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(:,:), pointer :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
+ CCTK_INT :: nii, njj, nkk
ni = lsh(1); nj = lsh(2); nk = lsh(3)
@@ -45,10 +47,17 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
end if
if ( .not. savedx(patch) ) then
- allocate ( atmp(ni,ni), d(ni,ni), b(ni,ni), h(ni,ni), tmp(ni,ni) )
+ nii = ni
+ if ( bb(1) /= 0 ) then
+ nii = nii - offset(1)
+ endif
+ if ( bb(2) /= 0 ) then
+ nii = nii - offset(2)
+ endif
+ allocate ( atmp(nii,nii), d(nii,nii), b(nii,nii), h(nii,nii), tmp(nii,nii) )
atmp = zero; d = zero; b = zero; h = zero; tmp = zero
- call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1), lbnd(1), delta(1), dfl(1) )
+ call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1)-offset(1)-offset(2), lbnd(1), delta(1), dfl(1) )
call set_hmatrix ( h, bb(1:2) )
@@ -64,7 +73,7 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
end if
- center = gsh(1) / 2
+ center = (gsh(1)-offset(1)-offset(2)) / 2
ir = center + max(3,gsize(1))
call set_dmatrix_half ( d(1:ir,1:ir), 1 )
@@ -80,17 +89,17 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
il = center + 1 - max(3,gsize(1))
d = zero
- call set_dmatrix_half ( d(il:ni,il:ni), 2 )
- tmp(il:ni,il:ni) = matmul ( b(il:ni,il:ni), d(il:ni,il:ni) )
- tmp(il:ni,il:ni) = matmul ( transpose ( d(il:ni,il:ni) ), tmp(il:ni,il:ni) )
- tmp(il:ni,il:ni) = matmul ( h(il:ni,il:ni), tmp(il:ni,il:ni) )
- tmp(il:ni,il:ni) = -transpose ( tmp(il:ni,il:ni) )
+ call set_dmatrix_half ( d(il:nii,il:nii), 2 )
+ tmp(il:nii,il:nii) = matmul ( b(il:nii,il:nii), d(il:nii,il:nii) )
+ tmp(il:nii,il:nii) = matmul ( transpose ( d(il:nii,il:nii) ), tmp(il:nii,il:nii) )
+ tmp(il:nii,il:nii) = matmul ( h(il:nii,il:nii), tmp(il:nii,il:nii) )
+ tmp(il:nii,il:nii) = -transpose ( tmp(il:nii,il:nii) )
- atmp(il:ni,center+1:ni) = tmp(il:ni,center+1:ni)
+ atmp(il:nii,center+1:nii) = tmp(il:nii,center+1:nii)
end if
- allocate ( xcoeff(patch)%coeff(ni,ni) )
+ allocate ( xcoeff(patch)%coeff(nii,nii) )
xcoeff(patch)%coeff = atmp
@@ -104,37 +113,39 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
idel = epsilon / ( 64 * delta(1) )
+
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
-
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + &
- a(7,2) * var(7,:,:) + a(8,2) * var(8,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) + a(8,3) * var(8,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) ) * idel
-
- il = 6
+ ol = offset(1)
+
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) + &
+ a(7,2) * var(7+ol,:,:) + a(8,2) * var(8+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) + a(8,3) * var(8+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) + a(8,4) * var(8+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) + a(8,5) * var(8+ol,:,:) ) * idel
+
+ il = 6 + ol
end if
@@ -144,55 +155,67 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
else
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(ni-7,ni-4) * var(ni-7,:,:) + &
- a(ni-6,ni-4) * var(ni-6,:,:) + &
- a(ni-5,ni-4) * var(ni-5,:,:) + &
- a(ni-4,ni-4) * var(ni-4,:,:) + &
- a(ni-3,ni-4) * var(ni-3,:,:) + &
- a(ni-2,ni-4) * var(ni-2,:,:) + &
- a(ni-1,ni-4) * var(ni-1,:,:) + &
- a(ni,ni-4) * var(ni,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(ni-7,ni-3) * var(ni-7,:,:) + &
- a(ni-6,ni-3) * var(ni-6,:,:) + &
- a(ni-5,ni-3) * var(ni-5,:,:) + &
- a(ni-4,ni-3) * var(ni-4,:,:) + &
- a(ni-3,ni-3) * var(ni-3,:,:) + &
- a(ni-2,ni-3) * var(ni-2,:,:) + &
- a(ni-1,ni-3) * var(ni-1,:,:) + &
- a(ni,ni-3) * var(ni,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(ni-7,ni-2) * var(ni-7,:,:) + &
- a(ni-6,ni-2) * var(ni-6,:,:) + &
- a(ni-5,ni-2) * var(ni-5,:,:) + &
- a(ni-4,ni-2) * var(ni-4,:,:) + &
- a(ni-3,ni-2) * var(ni-3,:,:) + &
- a(ni-2,ni-2) * var(ni-2,:,:) + &
- a(ni-1,ni-2) * var(ni-1,:,:) + &
- a(ni,ni-2) * var(ni,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(ni-7,ni-1) * var(ni-7,:,:) + &
- a(ni-6,ni-1) * var(ni-6,:,:) + &
- a(ni-5,ni-1) * var(ni-5,:,:) + &
- a(ni-4,ni-1) * var(ni-4,:,:) + &
- a(ni-3,ni-1) * var(ni-3,:,:) + &
- a(ni-2,ni-1) * var(ni-2,:,:) + &
- a(ni-1,ni-1) * var(ni-1,:,:) + &
- a(ni,ni-1) * var(ni,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(ni-3,ni) * var(ni-3,:,:) + &
- a(ni-2,ni) * var(ni-2,:,:) + &
- a(ni-1,ni) * var(ni-1,:,:) + &
- a(ni,ni) * var(ni,:,:) ) * idel
-
- ir = ni - 5
+ or = ni - offset(2)
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(nii-7,nii-4) * var(or-7,:,:) + &
+ a(nii-6,nii-4) * var(or-6,:,:) + &
+ a(nii-5,nii-4) * var(or-5,:,:) + &
+ a(nii-4,nii-4) * var(or-4,:,:) + &
+ a(nii-3,nii-4) * var(or-3,:,:) + &
+ a(nii-2,nii-4) * var(or-2,:,:) + &
+ a(nii-1,nii-4) * var(or-1,:,:) + &
+ a(nii,nii-4) * var(or,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(nii-7,nii-3) * var(or-7,:,:) + &
+ a(nii-6,nii-3) * var(or-6,:,:) + &
+ a(nii-5,nii-3) * var(or-5,:,:) + &
+ a(nii-4,nii-3) * var(or-4,:,:) + &
+ a(nii-3,nii-3) * var(or-3,:,:) + &
+ a(nii-2,nii-3) * var(or-2,:,:) + &
+ a(nii-1,nii-3) * var(or-1,:,:) + &
+ a(nii,nii-3) * var(or,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(nii-7,nii-2) * var(or-7,:,:) + &
+ a(nii-6,nii-2) * var(or-6,:,:) + &
+ a(nii-5,nii-2) * var(or-5,:,:) + &
+ a(nii-4,nii-2) * var(or-4,:,:) + &
+ a(nii-3,nii-2) * var(or-3,:,:) + &
+ a(nii-2,nii-2) * var(or-2,:,:) + &
+ a(nii-1,nii-2) * var(or-1,:,:) + &
+ a(nii,nii-2) * var(or,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(nii-7,nii-1) * var(or-7,:,:) + &
+ a(nii-6,nii-1) * var(or-6,:,:) + &
+ a(nii-5,nii-1) * var(or-5,:,:) + &
+ a(nii-4,nii-1) * var(or-4,:,:) + &
+ a(nii-3,nii-1) * var(or-3,:,:) + &
+ a(nii-2,nii-1) * var(or-2,:,:) + &
+ a(nii-1,nii-1) * var(or-1,:,:) + &
+ a(nii,nii-1) * var(or,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(nii-3,nii) * var(or-3,:,:) + &
+ a(nii-2,nii) * var(or-2,:,:) + &
+ a(nii-1,nii) * var(or-1,:,:) + &
+ a(nii,nii) * var(or,:,:) ) * idel
+
+ ir = or - 5
end if
- do i = il, ir
-
- rhs(i,:,:) = rhs(i,:,:) + &
+ if ( bb(1) /= 0 ) then
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
+ ( a(i-ol-3,i-ol) * var(i-3,:,:) + &
+ a(i-ol-2,i-ol) * var(i-2,:,:) + &
+ a(i-ol-1,i-ol) * var(i-1,:,:) + &
+ a(i-ol,i-ol) * var(i,:,:) + &
+ a(i-ol+1,i-ol) * var(i+1,:,:) + &
+ a(i-ol+2,i-ol) * var(i+2,:,:) + &
+ a(i-ol+3,i-ol) * var(i+3,:,:) ) * idel
+ end do
+ else
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
( a(i-3,i) * var(i-3,:,:) + &
a(i-2,i) * var(i-2,:,:) + &
a(i-1,i) * var(i-1,:,:) + &
@@ -200,15 +223,23 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
a(i+1,i) * var(i+1,:,:) + &
a(i+2,i) * var(i+2,:,:) + &
a(i+3,i) * var(i+3,:,:) ) * idel
-
- end do
+ end do
+ endif
if ( zero_derivs_y == 0 ) then
if ( .not. savedy(patch) ) then
- allocate ( atmp(nj,nj), d(nj,nj), b(nj,nj), h(nj,nj), tmp(nj,nj) )
+ njj = nj
+ if ( bb(3) /= 0 ) then
+ njj = njj - offset(3)
+ endif
+ if ( bb(4) /= 0 ) then
+ njj = njj - offset(4)
+ endif
+
+ allocate ( atmp(njj,njj), d(njj,njj), b(njj,njj), h(njj,njj), tmp(njj,njj) )
atmp = zero; d = zero; b = zero; h = zero; tmp = zero
- call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2), lbnd(2), delta(2), dfl(2) )
+ call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2)-offset(3)-offset(4), lbnd(2), delta(2), dfl(2) )
call set_hmatrix ( h, bb(3:4) )
@@ -224,7 +255,7 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
end if
- center = gsh(2) / 2
+ center = (gsh(2)-offset(3)-offset(4)) / 2
jr = center + max(3,gsize(2))
call set_dmatrix_half ( d(1:jr,1:jr), 1 )
@@ -240,19 +271,19 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
jl = center + 1 - max(3,gsize(2))
d = zero
- call set_dmatrix_half ( d(jl:nj,jl:nj), 2 )
- tmp(jl:nj,jl:nj) = -transpose ( &
- matmul ( h(jl:nj,jl:nj), &
+ call set_dmatrix_half ( d(jl:njj,jl:njj), 2 )
+ tmp(jl:njj,jl:njj) = -transpose ( &
+ matmul ( h(jl:njj,jl:njj), &
matmul ( &
- transpose ( d(jl:nj,jl:nj) ), &
- matmul ( b(jl:nj,jl:nj), &
- d(jl:nj,jl:nj) ) ) ) )
+ transpose ( d(jl:njj,jl:njj) ), &
+ matmul ( b(jl:njj,jl:njj), &
+ d(jl:njj,jl:njj) ) ) ) )
- atmp(jl:nj,center+1:nj) = tmp(jl:nj,center+1:nj)
+ atmp(jl:njj,center+1:njj) = tmp(jl:njj,center+1:njj)
end if
- allocate ( ycoeff(patch)%coeff(nj,nj) )
+ allocate ( ycoeff(patch)%coeff(njj,njj) )
ycoeff(patch)%coeff = atmp
@@ -271,32 +302,33 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
jl = 1 + gsize(2)
else
-
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + &
- a(7,2) * var(:,7,:) + a(8,2) * var(:,8,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) + a(8,3) * var(:,8,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) ) * idel
-
- jl = 6
+ ol = offset(3)
+
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) + &
+ a(7,2) * var(:,7+ol,:) + a(8,2) * var(:,8+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) + a(8,3) * var(:,8+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) + a(8,4) * var(:,8+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) + a(8,5) * var(:,8+ol,:) ) * idel
+
+ jl = 6 + ol
end if
@@ -306,55 +338,67 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
else
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(nj-7,nj-4) * var(:,nj-7,:) + &
- a(nj-6,nj-4) * var(:,nj-6,:) + &
- a(nj-5,nj-4) * var(:,nj-5,:) + &
- a(nj-4,nj-4) * var(:,nj-4,:) + &
- a(nj-3,nj-4) * var(:,nj-3,:) + &
- a(nj-2,nj-4) * var(:,nj-2,:) + &
- a(nj-1,nj-4) * var(:,nj-1,:) + &
- a(nj,nj-4) * var(:,nj,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(nj-7,nj-3) * var(:,nj-7,:) + &
- a(nj-6,nj-3) * var(:,nj-6,:) + &
- a(nj-5,nj-3) * var(:,nj-5,:) + &
- a(nj-4,nj-3) * var(:,nj-4,:) + &
- a(nj-3,nj-3) * var(:,nj-3,:) + &
- a(nj-2,nj-3) * var(:,nj-2,:) + &
- a(nj-1,nj-3) * var(:,nj-1,:) + &
- a(nj,nj-3) * var(:,nj,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(nj-7,nj-2) * var(:,nj-7,:) + &
- a(nj-6,nj-2) * var(:,nj-6,:) + &
- a(nj-5,nj-2) * var(:,nj-5,:) + &
- a(nj-4,nj-2) * var(:,nj-4,:) + &
- a(nj-3,nj-2) * var(:,nj-3,:) + &
- a(nj-2,nj-2) * var(:,nj-2,:) + &
- a(nj-1,nj-2) * var(:,nj-1,:) + &
- a(nj,nj-2) * var(:,nj,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(nj-7,nj-1) * var(:,nj-7,:) + &
- a(nj-6,nj-1) * var(:,nj-6,:) + &
- a(nj-5,nj-1) * var(:,nj-5,:) + &
- a(nj-4,nj-1) * var(:,nj-4,:) + &
- a(nj-3,nj-1) * var(:,nj-3,:) + &
- a(nj-2,nj-1) * var(:,nj-2,:) + &
- a(nj-1,nj-1) * var(:,nj-1,:) + &
- a(nj,nj-1) * var(:,nj,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(nj-3,nj) * var(:,nj-3,:) + &
- a(nj-2,nj) * var(:,nj-2,:) + &
- a(nj-1,nj) * var(:,nj-1,:) + &
- a(nj,nj) * var(:,nj,:) ) * idel
-
- jr = nj - 5
+ or = nj - offset(4)
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(njj-7,njj-4) * var(:,or-7,:) + &
+ a(njj-6,njj-4) * var(:,or-6,:) + &
+ a(njj-5,njj-4) * var(:,or-5,:) + &
+ a(njj-4,njj-4) * var(:,or-4,:) + &
+ a(njj-3,njj-4) * var(:,or-3,:) + &
+ a(njj-2,njj-4) * var(:,or-2,:) + &
+ a(njj-1,njj-4) * var(:,or-1,:) + &
+ a(njj,njj-4) * var(:,or,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(njj-7,njj-3) * var(:,or-7,:) + &
+ a(njj-6,njj-3) * var(:,or-6,:) + &
+ a(njj-5,njj-3) * var(:,or-5,:) + &
+ a(njj-4,njj-3) * var(:,or-4,:) + &
+ a(njj-3,njj-3) * var(:,or-3,:) + &
+ a(njj-2,njj-3) * var(:,or-2,:) + &
+ a(njj-1,njj-3) * var(:,or-1,:) + &
+ a(njj,njj-3) * var(:,or,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(njj-7,njj-2) * var(:,or-7,:) + &
+ a(njj-6,njj-2) * var(:,or-6,:) + &
+ a(njj-5,njj-2) * var(:,or-5,:) + &
+ a(njj-4,njj-2) * var(:,or-4,:) + &
+ a(njj-3,njj-2) * var(:,or-3,:) + &
+ a(njj-2,njj-2) * var(:,or-2,:) + &
+ a(njj-1,njj-2) * var(:,or-1,:) + &
+ a(njj,njj-2) * var(:,or,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(njj-7,njj-1) * var(:,or-7,:) + &
+ a(njj-6,njj-1) * var(:,or-6,:) + &
+ a(njj-5,njj-1) * var(:,or-5,:) + &
+ a(njj-4,njj-1) * var(:,or-4,:) + &
+ a(njj-3,njj-1) * var(:,or-3,:) + &
+ a(njj-2,njj-1) * var(:,or-2,:) + &
+ a(njj-1,njj-1) * var(:,or-1,:) + &
+ a(njj,njj-1) * var(:,or,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(njj-3,njj) * var(:,or-3,:) + &
+ a(njj-2,njj) * var(:,or-2,:) + &
+ a(njj-1,njj) * var(:,or-1,:) + &
+ a(njj,njj) * var(:,or,:) ) * idel
+
+ jr = or - 5
end if
- do j = jl, jr
-
- rhs(:,j,:) = rhs(:,j,:) + &
+ if ( bb(3) /= 0 ) then
+ do j = jl, jr
+ rhs(:,j,:) = rhs(:,j,:) + &
+ ( a(j-ol-3,j-ol) * var(:,j-3,:) + &
+ a(j-ol-2,j-ol) * var(:,j-2,:) + &
+ a(j-ol-1,j-ol) * var(:,j-1,:) + &
+ a(j-ol,j-ol) * var(:,j,:) + &
+ a(j-ol+1,j-ol) * var(:,j+1,:) + &
+ a(j-ol+2,j-ol) * var(:,j+2,:) + &
+ a(j-ol+3,j-ol) * var(:,j+3,:) ) * idel
+ end do
+ else
+ do j = jl, jr
+ rhs(:,j,:) = rhs(:,j,:) + &
( a(j-3,j) * var(:,j-3,:) + &
a(j-2,j) * var(:,j-2,:) + &
a(j-1,j) * var(:,j-1,:) + &
@@ -362,17 +406,24 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
a(j+1,j) * var(:,j+1,:) + &
a(j+2,j) * var(:,j+2,:) + &
a(j+3,j) * var(:,j+3,:) ) * idel
-
- end do
+ end do
+ endif
end if
if ( zero_derivs_z == 0 ) then
if ( .not. savedz(patch) ) then
- allocate ( atmp(nk,nk), d(nk,nk), b(nk,nk), h(nk,nk), tmp(nk,nk) )
+ nkk = nk
+ if ( bb(5) /= 0 ) then
+ nkk = nkk - offset(5)
+ endif
+ if ( bb(6) /= 0 ) then
+ nkk = nkk - offset(6)
+ endif
+ allocate ( atmp(nkk,nkk), d(nkk,nkk), b(nkk,nkk), h(nkk,nkk), tmp(nkk,nkk) )
atmp = zero; d = zero; b = zero; h = zero; tmp = zero
- call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3), lbnd(3), delta(3), dfl(3) )
+ call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3)-offset(5)-offset(6), lbnd(3), delta(3), dfl(3) )
call set_hmatrix ( h, bb(5:6) )
@@ -388,7 +439,7 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
end if
- center = gsh(3) / 2
+ center = (gsh(3)-offset(5)-offset(6)) / 2
kr = center + max(3,gsize(3))
call set_dmatrix_half ( d(1:kr,1:kr), 1 )
@@ -402,19 +453,19 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
kl = center + 1 - max(3,gsize(3))
d = zero
- call set_dmatrix_half ( d(kl:nk,kl:nk), 2 )
- tmp(kl:nk,kl:nk) = -transpose ( &
- matmul ( h(kl:nk,kl:nk), &
+ call set_dmatrix_half ( d(kl:nkk,kl:nkk), 2 )
+ tmp(kl:nkk,kl:nkk) = -transpose ( &
+ matmul ( h(kl:nkk,kl:nkk), &
matmul ( &
- transpose ( d(kl:nk,kl:nk) ), &
- matmul ( b(kl:nk,kl:nk), &
- d(kl:nk,kl:nk) ) ) ) )
+ transpose ( d(kl:nkk,kl:nkk) ), &
+ matmul ( b(kl:nkk,kl:nkk), &
+ d(kl:nkk,kl:nkk) ) ) ) )
- atmp(kl:nk,center+1:nk) = tmp(kl:nk,center+1:nk)
+ atmp(kl:nkk,center+1:nkk) = tmp(kl:nkk,center+1:nkk)
end if
- allocate ( zcoeff(patch)%coeff(nk,nk) )
+ allocate ( zcoeff(patch)%coeff(nkk,nkk) )
zcoeff(patch)%coeff = atmp
@@ -434,31 +485,33 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + &
- a(7,2) * var(:,:,7) + a(8,2) * var(:,:,8) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) + a(8,3) * var(:,:,8) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) ) * idel
-
- kl = 6
+ ol = offset(5)
+
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) + &
+ a(7,2) * var(:,:,7+ol) + a(8,2) * var(:,:,8+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) + a(8,3) * var(:,:,8+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) + a(8,4) * var(:,:,8+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) + a(8,5) * var(:,:,8+ol) ) * idel
+
+ kl = 6 + ol
end if
@@ -468,55 +521,68 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
else
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(nk-7,nk-4) * var(:,:,nk-7) + &
- a(nk-6,nk-4) * var(:,:,nk-6) + &
- a(nk-5,nk-4) * var(:,:,nk-5) + &
- a(nk-4,nk-4) * var(:,:,nk-4) + &
- a(nk-3,nk-4) * var(:,:,nk-3) + &
- a(nk-2,nk-4) * var(:,:,nk-2) + &
- a(nk-1,nk-4) * var(:,:,nk-1) + &
- a(nk,nk-4) * var(:,:,nk) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(nk-7,nk-3) * var(:,:,nk-7) + &
- a(nk-6,nk-3) * var(:,:,nk-6) + &
- a(nk-5,nk-3) * var(:,:,nk-5) + &
- a(nk-4,nk-3) * var(:,:,nk-4) + &
- a(nk-3,nk-3) * var(:,:,nk-3) + &
- a(nk-2,nk-3) * var(:,:,nk-2) + &
- a(nk-1,nk-3) * var(:,:,nk-1) + &
- a(nk,nk-3) * var(:,:,nk) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(nk-7,nk-2) * var(:,:,nk-7) + &
- a(nk-6,nk-2) * var(:,:,nk-6) + &
- a(nk-5,nk-2) * var(:,:,nk-5) + &
- a(nk-4,nk-2) * var(:,:,nk-4) + &
- a(nk-3,nk-2) * var(:,:,nk-3) + &
- a(nk-2,nk-2) * var(:,:,nk-2) + &
- a(nk-1,nk-2) * var(:,:,nk-1) + &
- a(nk,nk-2) * var(:,:,nk) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(nk-7,nk-1) * var(:,:,nk-7) + &
- a(nk-6,nk-1) * var(:,:,nk-6) + &
- a(nk-5,nk-1) * var(:,:,nk-5) + &
- a(nk-4,nk-1) * var(:,:,nk-4) + &
- a(nk-3,nk-1) * var(:,:,nk-3) + &
- a(nk-2,nk-1) * var(:,:,nk-2) + &
- a(nk-1,nk-1) * var(:,:,nk-1) + &
- a(nk,nk-1) * var(:,:,nk) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(nk-3,nk) * var(:,:,nk-3) + &
- a(nk-2,nk) * var(:,:,nk-2) + &
- a(nk-1,nk) * var(:,:,nk-1) + &
- a(nk,nk) * var(:,:,nk) ) * idel
-
- kr = nk - 5
+ or = nk - offset(6)
+
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(nkk-7,nkk-4) * var(:,:,or-7) + &
+ a(nkk-6,nkk-4) * var(:,:,or-6) + &
+ a(nkk-5,nkk-4) * var(:,:,or-5) + &
+ a(nkk-4,nkk-4) * var(:,:,or-4) + &
+ a(nkk-3,nkk-4) * var(:,:,or-3) + &
+ a(nkk-2,nkk-4) * var(:,:,or-2) + &
+ a(nkk-1,nkk-4) * var(:,:,or-1) + &
+ a(nkk,nkk-4) * var(:,:,or) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(nkk-7,nkk-3) * var(:,:,or-7) + &
+ a(nkk-6,nkk-3) * var(:,:,or-6) + &
+ a(nkk-5,nkk-3) * var(:,:,or-5) + &
+ a(nkk-4,nkk-3) * var(:,:,or-4) + &
+ a(nkk-3,nkk-3) * var(:,:,or-3) + &
+ a(nkk-2,nkk-3) * var(:,:,or-2) + &
+ a(nkk-1,nkk-3) * var(:,:,or-1) + &
+ a(nkk,nkk-3) * var(:,:,or) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(nkk-7,nkk-2) * var(:,:,or-7) + &
+ a(nkk-6,nkk-2) * var(:,:,or-6) + &
+ a(nkk-5,nkk-2) * var(:,:,or-5) + &
+ a(nkk-4,nkk-2) * var(:,:,or-4) + &
+ a(nkk-3,nkk-2) * var(:,:,or-3) + &
+ a(nkk-2,nkk-2) * var(:,:,or-2) + &
+ a(nkk-1,nkk-2) * var(:,:,or-1) + &
+ a(nkk,nkk-2) * var(:,:,or) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(nkk-7,nkk-1) * var(:,:,or-7) + &
+ a(nkk-6,nkk-1) * var(:,:,or-6) + &
+ a(nkk-5,nkk-1) * var(:,:,or-5) + &
+ a(nkk-4,nkk-1) * var(:,:,or-4) + &
+ a(nkk-3,nkk-1) * var(:,:,or-3) + &
+ a(nkk-2,nkk-1) * var(:,:,or-2) + &
+ a(nkk-1,nkk-1) * var(:,:,or-1) + &
+ a(nkk,nkk-1) * var(:,:,or) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(nkk-3,nkk) * var(:,:,or-3) + &
+ a(nkk-2,nkk) * var(:,:,or-2) + &
+ a(nkk-1,nkk) * var(:,:,or-1) + &
+ a(nkk,nkk) * var(:,:,or) ) * idel
+
+ kr = or - 5
end if
- do k = kl, kr
-
- rhs(:,:,k) = rhs(:,:,k) + &
+ if ( bb(5) /= 0 ) then
+ do k = kl, kr
+ rhs(:,:,k) = rhs(:,:,k) + &
+ ( a(k-ol-3,k-ol) * var(:,:,k-3) + &
+ a(k-ol-2,k-ol) * var(:,:,k-2) + &
+ a(k-ol-1,k-ol) * var(:,:,k-1) + &
+ a(k-ol,k-ol) * var(:,:,k) + &
+ a(k-ol+1,k-ol) * var(:,:,k+1) + &
+ a(k-ol+2,k-ol) * var(:,:,k+2) + &
+ a(k-ol+3,k-ol) * var(:,:,k+3) ) * idel
+ end do
+ else
+ do k = kl, kr
+ rhs(:,:,k) = rhs(:,:,k) + &
( a(k-3,k) * var(:,:,k-3) + &
a(k-2,k) * var(:,:,k-2) + &
a(k-1,k) * var(:,:,k-1) + &
@@ -524,8 +590,8 @@ subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
a(k+1,k) * var(:,:,k+1) + &
a(k+2,k) * var(:,:,k+2) + &
a(k+3,k) * var(:,:,k+3) ) * idel
-
- end do
+ end do
+ endif
end if
diff --git a/src/Dissipation_6_3.F90 b/src/Dissipation_6_3.F90
index af47329..50b7bde 100644
--- a/src/Dissipation_6_3.F90
+++ b/src/Dissipation_6_3.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(9,6) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -35,66 +36,68 @@ subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(2,5) * var(2,:,:) + a(3,5) * var(3,:,:) + &
- a(4,5) * var(4,:,:) + a(5,5) * var(5,:,:) + &
- a(6,5) * var(6,:,:) + a(7,5) * var(7,:,:) + &
- a(8,5) * var(8,:,:) ) * idel
- rhs(6,:,:) = rhs(6,:,:) + &
- ( a(3,6) * var(3,:,:) + a(4,6) * var(4,:,:) + &
- a(5,6) * var(5,:,:) + a(6,6) * var(6,:,:) + &
- a(7,6) * var(7,:,:) + a(8,6) * var(8,:,:) + &
- a(9,6) * var(9,:,:) ) * idel
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(2,5) * var(2+ol,:,:) + a(3,5) * var(3+ol,:,:) + &
+ a(4,5) * var(4+ol,:,:) + a(5,5) * var(5+ol,:,:) + &
+ a(6,5) * var(6+ol,:,:) + a(7,5) * var(7+ol,:,:) + &
+ a(8,5) * var(8+ol,:,:) ) * idel
+ rhs(6+ol,:,:) = rhs(6+ol,:,:) + &
+ ( a(3,6) * var(3+ol,:,:) + a(4,6) * var(4+ol,:,:) + &
+ a(5,6) * var(5+ol,:,:) + a(6,6) * var(6+ol,:,:) + &
+ a(7,6) * var(7+ol,:,:) + a(8,6) * var(8+ol,:,:) + &
+ a(9,6) * var(9+ol,:,:) ) * idel
- il = 7
+ il = 7 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-5,:,:) = rhs(ni-5,:,:) + &
- ( a(3,6) * var(ni-2,:,:) + a(4,6) * var(ni-3,:,:) + &
- a(5,6) * var(ni-4,:,:) + a(6,6) * var(ni-5,:,:) + &
- a(7,6) * var(ni-6,:,:) + a(8,6) * var(ni-7,:,:) + &
- a(9,6) * var(ni-8,:,:) ) * idel
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(2,5) * var(ni-1,:,:) + a(3,5) * var(ni-2,:,:) + &
- a(4,5) * var(ni-3,:,:) + a(5,5) * var(ni-4,:,:) + &
- a(6,5) * var(ni-5,:,:) + a(7,5) * var(ni-6,:,:) + &
- a(8,5) * var(ni-7,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(1,4) * var(ni,:,:) + a(2,4) * var(ni-1,:,:) + &
- a(3,4) * var(ni-2,:,:) + a(4,4) * var(ni-3,:,:) + &
- a(5,4) * var(ni-4,:,:) + a(6,4) * var(ni-5,:,:) + &
- a(7,4) * var(ni-6,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + &
- a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + &
- a(5,3) * var(ni-4,:,:) + a(6,3) * var(ni-5,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) + &
- a(5,2) * var(ni-4,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) + a(4,1) * var(ni-3,:,:) ) * idel
+ or = ni - offset(2)
+ rhs(or-5,:,:) = rhs(or-5,:,:) + &
+ ( a(3,6) * var(or-2,:,:) + a(4,6) * var(or-3,:,:) + &
+ a(5,6) * var(or-4,:,:) + a(6,6) * var(or-5,:,:) + &
+ a(7,6) * var(or-6,:,:) + a(8,6) * var(or-7,:,:) + &
+ a(9,6) * var(or-8,:,:) ) * idel
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(2,5) * var(or-1,:,:) + a(3,5) * var(or-2,:,:) + &
+ a(4,5) * var(or-3,:,:) + a(5,5) * var(or-4,:,:) + &
+ a(6,5) * var(or-5,:,:) + a(7,5) * var(or-6,:,:) + &
+ a(8,5) * var(or-7,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(1,4) * var(or,:,:) + a(2,4) * var(or-1,:,:) + &
+ a(3,4) * var(or-2,:,:) + a(4,4) * var(or-3,:,:) + &
+ a(5,4) * var(or-4,:,:) + a(6,4) * var(or-5,:,:) + &
+ a(7,4) * var(or-6,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
+ a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
+ a(5,3) * var(or-4,:,:) + a(6,3) * var(or-5,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) + &
+ a(5,2) * var(or-4,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) + a(4,1) * var(or-3,:,:) ) * idel
- ir = ni - 6
+ ir = or - 6
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -20.0_wp * var(il:ir,:,:) + &
@@ -117,66 +120,68 @@ subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(2,5) * var(:,2,:) + a(3,5) * var(:,3,:) + &
- a(4,5) * var(:,4,:) + a(5,5) * var(:,5,:) + &
- a(6,5) * var(:,6,:) + a(7,5) * var(:,7,:) + &
- a(8,5) * var(:,8,:) ) * idel
- rhs(:,6,:) = rhs(:,6,:) + &
- ( a(3,6) * var(:,3,:) + a(4,6) * var(:,4,:) + &
- a(5,6) * var(:,5,:) + a(6,6) * var(:,6,:) + &
- a(7,6) * var(:,7,:) + a(8,6) * var(:,8,:) + &
- a(9,6) * var(:,9,:) ) * idel
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(2,5) * var(:,2+ol,:) + a(3,5) * var(:,3+ol,:) + &
+ a(4,5) * var(:,4+ol,:) + a(5,5) * var(:,5+ol,:) + &
+ a(6,5) * var(:,6+ol,:) + a(7,5) * var(:,7+ol,:) + &
+ a(8,5) * var(:,8+ol,:) ) * idel
+ rhs(:,6+ol,:) = rhs(:,6+ol,:) + &
+ ( a(3,6) * var(:,3+ol,:) + a(4,6) * var(:,4+ol,:) + &
+ a(5,6) * var(:,5+ol,:) + a(6,6) * var(:,6+ol,:) + &
+ a(7,6) * var(:,7+ol,:) + a(8,6) * var(:,8+ol,:) + &
+ a(9,6) * var(:,9+ol,:) ) * idel
- jl = 7
+ jl = 7 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-5,:) = rhs(:,nj-5,:) + &
- ( a(3,6) * var(:,nj-2,:) + a(4,6) * var(:,nj-3,:) + &
- a(5,6) * var(:,nj-4,:) + a(6,6) * var(:,nj-5,:) + &
- a(7,6) * var(:,nj-6,:) + a(8,6) * var(:,nj-7,:) + &
- a(9,6) * var(:,nj-8,:) ) * idel
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(2,5) * var(:,nj-1,:) + a(3,5) * var(:,nj-2,:) + &
- a(4,5) * var(:,nj-3,:) + a(5,5) * var(:,nj-4,:) + &
- a(6,5) * var(:,nj-5,:) + a(7,5) * var(:,nj-6,:) + &
- a(8,5) * var(:,nj-7,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(1,4) * var(:,nj,:) + a(2,4) * var(:,nj-1,:) + &
- a(3,4) * var(:,nj-2,:) + a(4,4) * var(:,nj-3,:) + &
- a(5,4) * var(:,nj-4,:) + a(6,4) * var(:,nj-5,:) + &
- a(7,4) * var(:,nj-6,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + &
- a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + &
- a(5,3) * var(:,nj-4,:) + a(6,3) * var(:,nj-5,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) + &
- a(5,2) * var(:,nj-4,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) + a(4,1) * var(:,nj-3,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-5,:) = rhs(:,or-5,:) + &
+ ( a(3,6) * var(:,or-2,:) + a(4,6) * var(:,or-3,:) + &
+ a(5,6) * var(:,or-4,:) + a(6,6) * var(:,or-5,:) + &
+ a(7,6) * var(:,or-6,:) + a(8,6) * var(:,or-7,:) + &
+ a(9,6) * var(:,or-8,:) ) * idel
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(2,5) * var(:,or-1,:) + a(3,5) * var(:,or-2,:) + &
+ a(4,5) * var(:,or-3,:) + a(5,5) * var(:,or-4,:) + &
+ a(6,5) * var(:,or-5,:) + a(7,5) * var(:,or-6,:) + &
+ a(8,5) * var(:,or-7,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(1,4) * var(:,or,:) + a(2,4) * var(:,or-1,:) + &
+ a(3,4) * var(:,or-2,:) + a(4,4) * var(:,or-3,:) + &
+ a(5,4) * var(:,or-4,:) + a(6,4) * var(:,or-5,:) + &
+ a(7,4) * var(:,or-6,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
+ a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
+ a(5,3) * var(:,or-4,:) + a(6,3) * var(:,or-5,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) + &
+ a(5,2) * var(:,or-4,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) + a(4,1) * var(:,or-3,:) ) * idel
- jr = nj - 6
+ jr = or - 6
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -20.0_wp * var(:,jl:jr,:) + &
@@ -200,66 +205,68 @@ subroutine dissipation_6_3 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(2,5) * var(:,:,2) + a(3,5) * var(:,:,3) + &
- a(4,5) * var(:,:,4) + a(5,5) * var(:,:,5) + &
- a(6,5) * var(:,:,6) + a(7,5) * var(:,:,7) + &
- a(8,5) * var(:,:,8) ) * idel
- rhs(:,:,6) = rhs(:,:,6) + &
- ( a(3,6) * var(:,:,3) + a(4,6) * var(:,:,4) + &
- a(5,6) * var(:,:,5) + a(6,6) * var(:,:,6) + &
- a(7,6) * var(:,:,7) + a(8,6) * var(:,:,8) + &
- a(9,6) * var(:,:,9) ) * idel
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(2,5) * var(:,:,2+ol) + a(3,5) * var(:,:,3+ol) + &
+ a(4,5) * var(:,:,4+ol) + a(5,5) * var(:,:,5+ol) + &
+ a(6,5) * var(:,:,6+ol) + a(7,5) * var(:,:,7+ol) + &
+ a(8,5) * var(:,:,8+ol) ) * idel
+ rhs(:,:,6+ol) = rhs(:,:,6+ol) + &
+ ( a(3,6) * var(:,:,3+ol) + a(4,6) * var(:,:,4+ol) + &
+ a(5,6) * var(:,:,5+ol) + a(6,6) * var(:,:,6+ol) + &
+ a(7,6) * var(:,:,7+ol) + a(8,6) * var(:,:,8+ol) + &
+ a(9,6) * var(:,:,9+ol) ) * idel
- kl = 7
+ kl = 7 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-5) = rhs(:,:,nk-5) + &
- ( a(3,6) * var(:,:,nk-2) + a(4,6) * var(:,:,nk-3) + &
- a(5,6) * var(:,:,nk-4) + a(6,6) * var(:,:,nk-5) + &
- a(7,6) * var(:,:,nk-6) + a(8,6) * var(:,:,nk-7) + &
- a(9,6) * var(:,:,nk-8) ) * idel
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(2,5) * var(:,:,nk-1) + a(3,5) * var(:,:,nk-2) + &
- a(4,5) * var(:,:,nk-3) + a(5,5) * var(:,:,nk-4) + &
- a(6,5) * var(:,:,nk-5) + a(7,5) * var(:,:,nk-6) + &
- a(8,5) * var(:,:,nk-7) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(1,4) * var(:,:,nk) + a(2,4) * var(:,:,nk-1) + &
- a(3,4) * var(:,:,nk-2) + a(4,4) * var(:,:,nk-3) + &
- a(5,4) * var(:,:,nk-4) + a(6,4) * var(:,:,nk-5) + &
- a(7,4) * var(:,:,nk-6) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + &
- a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + &
- a(5,3) * var(:,:,nk-4) + a(6,3) * var(:,:,nk-5) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) + &
- a(5,2) * var(:,:,nk-4) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) + a(4,1) * var(:,:,nk-3) ) * idel
+ or = nk - offset(6)
+ rhs(:,:,or-5) = rhs(:,:,or-5) + &
+ ( a(3,6) * var(:,:,or-2) + a(4,6) * var(:,:,or-3) + &
+ a(5,6) * var(:,:,or-4) + a(6,6) * var(:,:,or-5) + &
+ a(7,6) * var(:,:,or-6) + a(8,6) * var(:,:,or-7) + &
+ a(9,6) * var(:,:,or-8) ) * idel
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(2,5) * var(:,:,or-1) + a(3,5) * var(:,:,or-2) + &
+ a(4,5) * var(:,:,or-3) + a(5,5) * var(:,:,or-4) + &
+ a(6,5) * var(:,:,or-5) + a(7,5) * var(:,:,or-6) + &
+ a(8,5) * var(:,:,or-7) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(1,4) * var(:,:,or) + a(2,4) * var(:,:,or-1) + &
+ a(3,4) * var(:,:,or-2) + a(4,4) * var(:,:,or-3) + &
+ a(5,4) * var(:,:,or-4) + a(6,4) * var(:,:,or-5) + &
+ a(7,4) * var(:,:,or-6) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
+ a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
+ a(5,3) * var(:,:,or-4) + a(6,3) * var(:,:,or-5) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) + &
+ a(5,2) * var(:,:,or-4) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) + a(4,1) * var(:,:,or-3) ) * idel
- kr = nk - 6
+ kr = or - 6
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -20.0_wp * var(:,:,kl:kr) + &
diff --git a/src/Dissipation_6_3_alt.F90 b/src/Dissipation_6_3_alt.F90
index 5fd9bc9..1a4e00b 100644
--- a/src/Dissipation_6_3_alt.F90
+++ b/src/Dissipation_6_3_alt.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(10,6) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -31,74 +32,76 @@ subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) + &
- a(5,1) * var(5,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) + &
- a(9,5) * var(9,:,:) ) * idel
- rhs(6,:,:) = rhs(6,:,:) + &
- ( a(2,6) * var(2,:,:) + a(3,6) * var(3,:,:) + &
- a(4,6) * var(4,:,:) + a(5,6) * var(5,:,:) + &
- a(6,6) * var(6,:,:) + a(7,6) * var(7,:,:) + &
- a(8,6) * var(8,:,:) + a(9,6) * var(9,:,:) + &
- a(10,6) * var(10,:,:) ) * idel
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) + &
+ a(5,1) * var(5+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) + a(8,4) * var(8+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) + a(8,5) * var(8+ol,:,:) + &
+ a(9,5) * var(9+ol,:,:) ) * idel
+ rhs(6+ol,:,:) = rhs(6+ol,:,:) + &
+ ( a(2,6) * var(2+ol,:,:) + a(3,6) * var(3+ol,:,:) + &
+ a(4,6) * var(4+ol,:,:) + a(5,6) * var(5+ol,:,:) + &
+ a(6,6) * var(6+ol,:,:) + a(7,6) * var(7+ol,:,:) + &
+ a(8,6) * var(8+ol,:,:) + a(9,6) * var(9+ol,:,:) + &
+ a(10,6) * var(10+ol,:,:) ) * idel
- il = 7
+ il = 7 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-5,:,:) = rhs(ni-5,:,:) + &
- ( a(2,6) * var(ni-1,:,:) + a(3,6) * var(ni-2,:,:) + &
- a(4,6) * var(ni-3,:,:) + a(5,6) * var(ni-4,:,:) + &
- a(6,6) * var(ni-5,:,:) + a(7,6) * var(ni-6,:,:) + &
- a(8,6) * var(ni-7,:,:) + a(9,6) * var(ni-8,:,:) + &
- a(10,6) * var(ni-9,:,:) ) * idel
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(1,5) * var(ni,:,:) + a(2,5) * var(ni-1,:,:) + &
- a(3,5) * var(ni-2,:,:) + a(4,5) * var(ni-3,:,:) + &
- a(5,5) * var(ni-4,:,:) + a(6,5) * var(ni-5,:,:) + &
- a(7,5) * var(ni-6,:,:) + a(8,5) * var(ni-7,:,:) + &
- a(9,5) * var(ni-8,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(1,4) * var(ni,:,:) + a(2,4) * var(ni-1,:,:) + &
- a(3,4) * var(ni-2,:,:) + a(4,4) * var(ni-3,:,:) + &
- a(5,4) * var(ni-4,:,:) + a(6,4) * var(ni-5,:,:) + &
- a(7,4) * var(ni-6,:,:) + a(8,4) * var(ni-7,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + &
- a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + &
- a(5,3) * var(ni-4,:,:) + a(6,3) * var(ni-5,:,:) + &
- a(7,3) * var(ni-6,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) + &
- a(5,2) * var(ni-4,:,:) + a(6,2) * var(ni-5,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) + a(4,1) * var(ni-3,:,:) + &
- a(5,1) * var(ni-4,:,:) ) * idel
+ or = ni - offset(2)
+ rhs(or-5,:,:) = rhs(or-5,:,:) + &
+ ( a(2,6) * var(or-1,:,:) + a(3,6) * var(or-2,:,:) + &
+ a(4,6) * var(or-3,:,:) + a(5,6) * var(or-4,:,:) + &
+ a(6,6) * var(or-5,:,:) + a(7,6) * var(or-6,:,:) + &
+ a(8,6) * var(or-7,:,:) + a(9,6) * var(or-8,:,:) + &
+ a(10,6) * var(or-9,:,:) ) * idel
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(1,5) * var(or,:,:) + a(2,5) * var(or-1,:,:) + &
+ a(3,5) * var(or-2,:,:) + a(4,5) * var(or-3,:,:) + &
+ a(5,5) * var(or-4,:,:) + a(6,5) * var(or-5,:,:) + &
+ a(7,5) * var(or-6,:,:) + a(8,5) * var(or-7,:,:) + &
+ a(9,5) * var(or-8,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(1,4) * var(or,:,:) + a(2,4) * var(or-1,:,:) + &
+ a(3,4) * var(or-2,:,:) + a(4,4) * var(or-3,:,:) + &
+ a(5,4) * var(or-4,:,:) + a(6,4) * var(or-5,:,:) + &
+ a(7,4) * var(or-6,:,:) + a(8,4) * var(or-7,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
+ a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
+ a(5,3) * var(or-4,:,:) + a(6,3) * var(or-5,:,:) + &
+ a(7,3) * var(or-6,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) + &
+ a(5,2) * var(or-4,:,:) + a(6,2) * var(or-5,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) + a(4,1) * var(or-3,:,:) + &
+ a(5,1) * var(or-4,:,:) ) * idel
- ir = ni - 6
+ ir = or - 6
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -70.0_wp * var(il:ir,:,:) + &
@@ -119,74 +122,76 @@ subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) + &
- a(5,1) * var(:,5,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) + &
- a(9,5) * var(:,9,:) ) * idel
- rhs(:,6,:) = rhs(:,6,:) + &
- ( a(2,6) * var(:,2,:) + a(3,6) * var(:,3,:) + &
- a(4,6) * var(:,4,:) + a(5,6) * var(:,5,:) + &
- a(6,6) * var(:,6,:) + a(7,6) * var(:,7,:) + &
- a(8,6) * var(:,8,:) + a(9,6) * var(:,9,:) + &
- a(10,6) * var(:,10,:) ) * idel
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) + &
+ a(5,1) * var(:,5+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) + a(8,4) * var(:,8+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) + a(8,5) * var(:,8+ol,:) + &
+ a(9,5) * var(:,9+ol,:) ) * idel
+ rhs(:,6+ol,:) = rhs(:,6+ol,:) + &
+ ( a(2,6) * var(:,2+ol,:) + a(3,6) * var(:,3+ol,:) + &
+ a(4,6) * var(:,4+ol,:) + a(5,6) * var(:,5+ol,:) + &
+ a(6,6) * var(:,6+ol,:) + a(7,6) * var(:,7+ol,:) + &
+ a(8,6) * var(:,8+ol,:) + a(9,6) * var(:,9+ol,:) + &
+ a(10,6) * var(:,10+ol,:) ) * idel
- jl = 7
+ jl = 7 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-5,:) = rhs(:,nj-5,:) + &
- ( a(2,6) * var(:,nj-1,:) + a(3,6) * var(:,nj-2,:) + &
- a(4,6) * var(:,nj-3,:) + a(5,6) * var(:,nj-4,:) + &
- a(6,6) * var(:,nj-5,:) + a(7,6) * var(:,nj-6,:) + &
- a(8,6) * var(:,nj-7,:) + a(9,6) * var(:,nj-8,:) + &
- a(10,6) * var(:,nj-9,:) ) * idel
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(1,5) * var(:,nj,:) + a(2,5) * var(:,nj-1,:) + &
- a(3,5) * var(:,nj-2,:) + a(4,5) * var(:,nj-3,:) + &
- a(5,5) * var(:,nj-4,:) + a(6,5) * var(:,nj-5,:) + &
- a(7,5) * var(:,nj-6,:) + a(8,5) * var(:,nj-7,:) + &
- a(9,5) * var(:,nj-8,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(1,4) * var(:,nj,:) + a(2,4) * var(:,nj-1,:) + &
- a(3,4) * var(:,nj-2,:) + a(4,4) * var(:,nj-3,:) + &
- a(5,4) * var(:,nj-4,:) + a(6,4) * var(:,nj-5,:) + &
- a(7,4) * var(:,nj-6,:) + a(8,4) * var(:,nj-7,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + &
- a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + &
- a(5,3) * var(:,nj-4,:) + a(6,3) * var(:,nj-5,:) + &
- a(7,3) * var(:,nj-6,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) + &
- a(5,2) * var(:,nj-4,:) + a(6,2) * var(:,nj-5,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) + a(4,1) * var(:,nj-3,:) + &
- a(5,1) * var(:,nj-4,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-5,:) = rhs(:,or-5,:) + &
+ ( a(2,6) * var(:,or-1,:) + a(3,6) * var(:,or-2,:) + &
+ a(4,6) * var(:,or-3,:) + a(5,6) * var(:,or-4,:) + &
+ a(6,6) * var(:,or-5,:) + a(7,6) * var(:,or-6,:) + &
+ a(8,6) * var(:,or-7,:) + a(9,6) * var(:,or-8,:) + &
+ a(10,6) * var(:,or-9,:) ) * idel
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(1,5) * var(:,or,:) + a(2,5) * var(:,or-1,:) + &
+ a(3,5) * var(:,or-2,:) + a(4,5) * var(:,or-3,:) + &
+ a(5,5) * var(:,or-4,:) + a(6,5) * var(:,or-5,:) + &
+ a(7,5) * var(:,or-6,:) + a(8,5) * var(:,or-7,:) + &
+ a(9,5) * var(:,or-8,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(1,4) * var(:,or,:) + a(2,4) * var(:,or-1,:) + &
+ a(3,4) * var(:,or-2,:) + a(4,4) * var(:,or-3,:) + &
+ a(5,4) * var(:,or-4,:) + a(6,4) * var(:,or-5,:) + &
+ a(7,4) * var(:,or-6,:) + a(8,4) * var(:,or-7,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
+ a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
+ a(5,3) * var(:,or-4,:) + a(6,3) * var(:,or-5,:) + &
+ a(7,3) * var(:,or-6,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) + &
+ a(5,2) * var(:,or-4,:) + a(6,2) * var(:,or-5,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) + a(4,1) * var(:,or-3,:) + &
+ a(5,1) * var(:,or-4,:) ) * idel
- jr = nj - 6
+ jr = or - 6
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -70.0_wp * var(:,jl:jr,:) + &
@@ -208,73 +213,75 @@ subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) + &
- a(5,1) * var(:,:,5) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) + &
- a(9,5) * var(:,:,9) ) * idel
- rhs(:,:,6) = rhs(:,:,6) + &
- ( a(2,6) * var(:,:,2) + a(3,6) * var(:,:,3) + &
- a(4,6) * var(:,:,4) + a(5,6) * var(:,:,5) + &
- a(6,6) * var(:,:,6) + a(7,6) * var(:,:,7) + &
- a(8,6) * var(:,:,8) + a(9,6) * var(:,:,9) + &
- a(10,6) * var(:,:,10) ) * idel
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) + &
+ a(5,1) * var(:,:,5+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) + a(8,4) * var(:,:,8+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) + a(8,5) * var(:,:,8+ol) + &
+ a(9,5) * var(:,:,9+ol) ) * idel
+ rhs(:,:,6+ol) = rhs(:,:,6+ol) + &
+ ( a(2,6) * var(:,:,2+ol) + a(3,6) * var(:,:,3+ol) + &
+ a(4,6) * var(:,:,4+ol) + a(5,6) * var(:,:,5+ol) + &
+ a(6,6) * var(:,:,6+ol) + a(7,6) * var(:,:,7+ol) + &
+ a(8,6) * var(:,:,8+ol) + a(9,6) * var(:,:,9+ol) + &
+ a(10,6) * var(:,:,10+ol) ) * idel
- kl = 7
+ kl = 7 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-5) = rhs(:,:,nk-5) + &
- ( a(2,6) * var(:,:,nk-1) + a(3,6) * var(:,:,nk-2) + &
- a(4,6) * var(:,:,nk-3) + a(5,6) * var(:,:,nk-4) + &
- a(6,6) * var(:,:,nk-5) + a(7,6) * var(:,:,nk-6) + &
- a(8,6) * var(:,:,nk-7) + a(9,6) * var(:,:,nk-8) + &
- a(10,6) * var(:,:,nk-9) ) * idel
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(1,5) * var(:,:,nk) + a(2,5) * var(:,:,nk-1) + &
- a(3,5) * var(:,:,nk-2) + a(4,5) * var(:,:,nk-3) + &
- a(5,5) * var(:,:,nk-4) + a(6,5) * var(:,:,nk-5) + &
- a(7,5) * var(:,:,nk-6) + a(8,5) * var(:,:,nk-7) + &
- a(9,5) * var(:,:,nk-8) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(1,4) * var(:,:,nk) + a(2,4) * var(:,:,nk-1) + &
- a(3,4) * var(:,:,nk-2) + a(4,4) * var(:,:,nk-3) + &
- a(5,4) * var(:,:,nk-4) + a(6,4) * var(:,:,nk-5) + &
- a(7,4) * var(:,:,nk-6) + a(8,4) * var(:,:,nk-7) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + &
- a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + &
- a(5,3) * var(:,:,nk-4) + a(6,3) * var(:,:,nk-5) + &
- a(7,3) * var(:,:,nk-6) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) + &
- a(5,2) * var(:,:,nk-4) + a(6,2) * var(:,:,nk-5) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) + a(4,1) * var(:,:,nk-3) + &
- a(5,1) * var(:,:,nk-4) ) * idel
- kr = nk - 6
+ or = nk - offset(6)
+ rhs(:,:,or-5) = rhs(:,:,or-5) + &
+ ( a(2,6) * var(:,:,or-1) + a(3,6) * var(:,:,or-2) + &
+ a(4,6) * var(:,:,or-3) + a(5,6) * var(:,:,or-4) + &
+ a(6,6) * var(:,:,or-5) + a(7,6) * var(:,:,or-6) + &
+ a(8,6) * var(:,:,or-7) + a(9,6) * var(:,:,or-8) + &
+ a(10,6) * var(:,:,or-9) ) * idel
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(1,5) * var(:,:,or) + a(2,5) * var(:,:,or-1) + &
+ a(3,5) * var(:,:,or-2) + a(4,5) * var(:,:,or-3) + &
+ a(5,5) * var(:,:,or-4) + a(6,5) * var(:,:,or-5) + &
+ a(7,5) * var(:,:,or-6) + a(8,5) * var(:,:,or-7) + &
+ a(9,5) * var(:,:,or-8) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(1,4) * var(:,:,or) + a(2,4) * var(:,:,or-1) + &
+ a(3,4) * var(:,:,or-2) + a(4,4) * var(:,:,or-3) + &
+ a(5,4) * var(:,:,or-4) + a(6,4) * var(:,:,or-5) + &
+ a(7,4) * var(:,:,or-6) + a(8,4) * var(:,:,or-7) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
+ a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
+ a(5,3) * var(:,:,or-4) + a(6,3) * var(:,:,or-5) + &
+ a(7,3) * var(:,:,or-6) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) + &
+ a(5,2) * var(:,:,or-4) + a(6,2) * var(:,:,or-5) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) + a(4,1) * var(:,:,or-3) + &
+ a(5,1) * var(:,:,or-4) ) * idel
+ kr = or - 6
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -70.0_wp * var(:,:,kl:kr) + &
diff --git a/src/Dissipation_6_5_min_err_coeff.F90 b/src/Dissipation_6_5_min_err_coeff.F90
index 1ce64f9..bae7795 100644
--- a/src/Dissipation_6_5_min_err_coeff.F90
+++ b/src/Dissipation_6_5_min_err_coeff.F90
@@ -5,7 +5,7 @@
#include "cctk_Functions.h"
-subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
+subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, offset, &
delta, epsilon, dfl, npatches, patch, rhs)
use dissipation_coeff
@@ -21,6 +21,7 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
CCTK_REAL, dimension(3), intent(in) :: dfl
@@ -33,7 +34,8 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(:,:), pointer :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
+ CCTK_INT :: nii, njj, nkk
ni = lsh(1); nj = lsh(2); nk = lsh(3)
@@ -45,10 +47,18 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
end if
if ( .not. savedx(patch) ) then
- allocate ( atmp(ni,ni), d(ni,ni), b(ni,ni), h(ni,ni), tmp(ni,ni) )
+ nii = ni
+ if ( bb(1) /= 0 ) then
+ nii = nii - offset(1)
+ endif
+ if ( bb(2) /= 0 ) then
+ nii = nii - offset(2)
+ endif
+ allocate ( atmp(nii,nii), d(nii,nii), b(nii,nii), h(nii,nii), tmp(nii,nii) )
+
atmp = zero; d = zero; b = zero; h = zero; tmp = zero
- call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1), lbnd(1), delta(1), dfl(1) )
+ call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1)-offset(1)-offset(2), lbnd(1), delta(1), dfl(1) )
call set_hmatrix ( h, bb(1:2) )
@@ -64,7 +74,7 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
end if
- center = gsh(1) / 2
+ center = (gsh(1)-offset(1)-offset(2)) / 2
ir = center + max(gsize(1),3)
call set_dmatrix_half ( d(1:ir,1:ir), 1 )
@@ -78,17 +88,17 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
il = center + 1 - max(gsize(1),3)
d = zero
- call set_dmatrix_half ( d(il:ni,il:ni), 2 )
- tmp(il:ni,il:ni) = matmul ( b(il:ni,il:ni), d(il:ni,il:ni) )
- tmp(il:ni,il:ni) = matmul ( transpose ( d(il:ni,il:ni) ), tmp(il:ni,il:ni) )
- tmp(il:ni,il:ni) = matmul ( h(il:ni,il:ni), tmp(il:ni,il:ni) )
- tmp(il:ni,il:ni) = -transpose ( tmp(il:ni,il:ni) )
+ call set_dmatrix_half ( d(il:nii,il:nii), 2 )
+ tmp(il:nii,il:nii) = matmul ( b(il:nii,il:nii), d(il:nii,il:nii) )
+ tmp(il:nii,il:nii) = matmul ( transpose ( d(il:nii,il:nii) ), tmp(il:nii,il:nii) )
+ tmp(il:nii,il:nii) = matmul ( h(il:nii,il:nii), tmp(il:nii,il:nii) )
+ tmp(il:nii,il:nii) = -transpose ( tmp(il:nii,il:nii) )
- atmp(il:ni,center+1:ni) = tmp(il:ni,center+1:ni)
+ atmp(il:nii,center+1:nii) = tmp(il:nii,center+1:nii)
end if
- allocate ( xcoeff(patch)%coeff(ni,ni) )
+ allocate ( xcoeff(patch)%coeff(nii,nii) )
xcoeff(patch)%coeff = atmp
@@ -111,48 +121,49 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
il = 1 + gsize(1)
else
-
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + &
- a(7,2) * var(7,:,:) + a(8,2) * var(8,:,:) + &
- a(9,2) * var(9,:,:) + a(10,2) * var(10,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) + a(8,3) * var(8,:,:) + &
- a(9,3) * var(9,:,:) + a(10,3) * var(10,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) + &
- a(9,4) * var(9,:,:) + a(10,4) * var(10,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) + &
- a(9,5) * var(9,:,:) + a(10,5) * var(10,:,:) ) * idel
- rhs(6,:,:) = rhs(6,:,:) + &
- ( a(1,6) * var(1,:,:) + a(2,6) * var(2,:,:) + &
- a(3,6) * var(3,:,:) + a(4,6) * var(4,:,:) + &
- a(5,6) * var(5,:,:) + a(6,6) * var(6,:,:) + &
- a(7,6) * var(7,:,:) + a(8,6) * var(8,:,:) + &
- a(9,6) * var(9,:,:) + a(10,6) * var(10,:,:) ) * idel
- rhs(7,:,:) = rhs(7,:,:) + &
- ( a(1,7) * var(1,:,:) + a(2,7) * var(2,:,:) + &
- a(3,7) * var(3,:,:) + a(4,7) * var(4,:,:) + &
- a(5,7) * var(5,:,:) + a(6,7) * var(6,:,:) + &
- a(7,7) * var(7,:,:) + a(8,7) * var(8,:,:) + &
- a(9,7) * var(9,:,:) + a(10,7) * var(10,:,:) ) * idel
-
- il = 8
+ ol = offset(1)
+
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) + &
+ a(7,2) * var(7+ol,:,:) + a(8,2) * var(8+ol,:,:) + &
+ a(9,2) * var(9+ol,:,:) + a(10,2) * var(10+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) + a(8,3) * var(8+ol,:,:) + &
+ a(9,3) * var(9+ol,:,:) + a(10,3) * var(10+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) + a(8,4) * var(8+ol,:,:) + &
+ a(9,4) * var(9+ol,:,:) + a(10,4) * var(10+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) + a(8,5) * var(8+ol,:,:) + &
+ a(9,5) * var(9+ol,:,:) + a(10,5) * var(10+ol,:,:) ) * idel
+ rhs(6+ol,:,:) = rhs(6+ol,:,:) + &
+ ( a(1,6) * var(1+ol,:,:) + a(2,6) * var(2+ol,:,:) + &
+ a(3,6) * var(3+ol,:,:) + a(4,6) * var(4+ol,:,:) + &
+ a(5,6) * var(5+ol,:,:) + a(6,6) * var(6+ol,:,:) + &
+ a(7,6) * var(7+ol,:,:) + a(8,6) * var(8+ol,:,:) + &
+ a(9,6) * var(9+ol,:,:) + a(10,6) * var(10+ol,:,:) ) * idel
+ rhs(7+ol,:,:) = rhs(7+ol,:,:) + &
+ ( a(1,7) * var(1+ol,:,:) + a(2,7) * var(2+ol,:,:) + &
+ a(3,7) * var(3+ol,:,:) + a(4,7) * var(4+ol,:,:) + &
+ a(5,7) * var(5+ol,:,:) + a(6,7) * var(6+ol,:,:) + &
+ a(7,7) * var(7+ol,:,:) + a(8,7) * var(8+ol,:,:) + &
+ a(9,7) * var(9+ol,:,:) + a(10,7) * var(10+ol,:,:) ) * idel
+
+ il = 8 + ol
end if
@@ -161,86 +172,99 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
ir = ni - gsize(1)
else
-
- rhs(ni-6,:,:) = rhs(ni-6,:,:) + &
- ( a(ni-9,ni-6) * var(ni-9,:,:) + &
- a(ni-8,ni-6) * var(ni-8,:,:) + &
- a(ni-7,ni-6) * var(ni-7,:,:) + &
- a(ni-6,ni-6) * var(ni-6,:,:) + &
- a(ni-5,ni-6) * var(ni-5,:,:) + &
- a(ni-4,ni-6) * var(ni-4,:,:) + &
- a(ni-3,ni-6) * var(ni-3,:,:) + &
- a(ni-2,ni-6) * var(ni-2,:,:) + &
- a(ni-1,ni-6) * var(ni-1,:,:) + &
- a(ni,ni-6) * var(ni,:,:) ) * idel
- rhs(ni-5,:,:) = rhs(ni-5,:,:) + &
- ( a(ni-9,ni-5) * var(ni-9,:,:) + &
- a(ni-8,ni-5) * var(ni-8,:,:) + &
- a(ni-7,ni-5) * var(ni-7,:,:) + &
- a(ni-6,ni-5) * var(ni-6,:,:) + &
- a(ni-5,ni-5) * var(ni-5,:,:) + &
- a(ni-4,ni-5) * var(ni-4,:,:) + &
- a(ni-3,ni-5) * var(ni-3,:,:) + &
- a(ni-2,ni-5) * var(ni-2,:,:) + &
- a(ni-1,ni-5) * var(ni-1,:,:) + &
- a(ni,ni-5) * var(ni,:,:) ) * idel
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(ni-9,ni-4) * var(ni-9,:,:) + &
- a(ni-8,ni-4) * var(ni-8,:,:) + &
- a(ni-7,ni-4) * var(ni-7,:,:) + &
- a(ni-6,ni-4) * var(ni-6,:,:) + &
- a(ni-5,ni-4) * var(ni-5,:,:) + &
- a(ni-4,ni-4) * var(ni-4,:,:) + &
- a(ni-3,ni-4) * var(ni-3,:,:) + &
- a(ni-2,ni-4) * var(ni-2,:,:) + &
- a(ni-1,ni-4) * var(ni-1,:,:) + &
- a(ni,ni-4) * var(ni,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(ni-9,ni-3) * var(ni-9,:,:) + &
- a(ni-8,ni-3) * var(ni-8,:,:) + &
- a(ni-7,ni-3) * var(ni-7,:,:) + &
- a(ni-6,ni-3) * var(ni-6,:,:) + &
- a(ni-5,ni-3) * var(ni-5,:,:) + &
- a(ni-4,ni-3) * var(ni-4,:,:) + &
- a(ni-3,ni-3) * var(ni-3,:,:) + &
- a(ni-2,ni-3) * var(ni-2,:,:) + &
- a(ni-1,ni-3) * var(ni-1,:,:) + &
- a(ni,ni-3) * var(ni,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(ni-9,ni-2) * var(ni-9,:,:) + &
- a(ni-8,ni-2) * var(ni-8,:,:) + &
- a(ni-7,ni-2) * var(ni-7,:,:) + &
- a(ni-6,ni-2) * var(ni-6,:,:) + &
- a(ni-5,ni-2) * var(ni-5,:,:) + &
- a(ni-4,ni-2) * var(ni-4,:,:) + &
- a(ni-3,ni-2) * var(ni-3,:,:) + &
- a(ni-2,ni-2) * var(ni-2,:,:) + &
- a(ni-1,ni-2) * var(ni-1,:,:) + &
- a(ni,ni-2) * var(ni,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(ni-9,ni-1) * var(ni-9,:,:) + &
- a(ni-8,ni-1) * var(ni-8,:,:) + &
- a(ni-7,ni-1) * var(ni-7,:,:) + &
- a(ni-6,ni-1) * var(ni-6,:,:) + &
- a(ni-5,ni-1) * var(ni-5,:,:) + &
- a(ni-4,ni-1) * var(ni-4,:,:) + &
- a(ni-3,ni-1) * var(ni-3,:,:) + &
- a(ni-2,ni-1) * var(ni-2,:,:) + &
- a(ni-1,ni-1) * var(ni-1,:,:) + &
- a(ni,ni-1) * var(ni,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(ni-3,ni) * var(ni-3,:,:) + &
- a(ni-2,ni) * var(ni-2,:,:) + &
- a(ni-1,ni) * var(ni-1,:,:) + &
- a(ni,ni) * var(ni,:,:) ) * idel
-
- ir = ni - 7
+ or = ni - offset(2)
+
+ rhs(or-6,:,:) = rhs(or-6,:,:) + &
+ ( a(nii-9,nii-6) * var(or-9,:,:) + &
+ a(nii-8,nii-6) * var(or-8,:,:) + &
+ a(nii-7,nii-6) * var(or-7,:,:) + &
+ a(nii-6,nii-6) * var(or-6,:,:) + &
+ a(nii-5,nii-6) * var(or-5,:,:) + &
+ a(nii-4,nii-6) * var(or-4,:,:) + &
+ a(nii-3,nii-6) * var(or-3,:,:) + &
+ a(nii-2,nii-6) * var(or-2,:,:) + &
+ a(nii-1,nii-6) * var(or-1,:,:) + &
+ a(nii,nii-6) * var(or,:,:) ) * idel
+ rhs(or-5,:,:) = rhs(or-5,:,:) + &
+ ( a(nii-9,nii-5) * var(or-9,:,:) + &
+ a(nii-8,nii-5) * var(or-8,:,:) + &
+ a(nii-7,nii-5) * var(or-7,:,:) + &
+ a(nii-6,nii-5) * var(or-6,:,:) + &
+ a(nii-5,nii-5) * var(or-5,:,:) + &
+ a(nii-4,nii-5) * var(or-4,:,:) + &
+ a(nii-3,nii-5) * var(or-3,:,:) + &
+ a(nii-2,nii-5) * var(or-2,:,:) + &
+ a(nii-1,nii-5) * var(or-1,:,:) + &
+ a(nii,nii-5) * var(or,:,:) ) * idel
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(nii-9,nii-4) * var(or-9,:,:) + &
+ a(nii-8,nii-4) * var(or-8,:,:) + &
+ a(nii-7,nii-4) * var(or-7,:,:) + &
+ a(nii-6,nii-4) * var(or-6,:,:) + &
+ a(nii-5,nii-4) * var(or-5,:,:) + &
+ a(nii-4,nii-4) * var(or-4,:,:) + &
+ a(nii-3,nii-4) * var(or-3,:,:) + &
+ a(nii-2,nii-4) * var(or-2,:,:) + &
+ a(nii-1,nii-4) * var(or-1,:,:) + &
+ a(nii,nii-4) * var(or,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(nii-9,nii-3) * var(or-9,:,:) + &
+ a(nii-8,nii-3) * var(or-8,:,:) + &
+ a(nii-7,nii-3) * var(or-7,:,:) + &
+ a(nii-6,nii-3) * var(or-6,:,:) + &
+ a(nii-5,nii-3) * var(or-5,:,:) + &
+ a(nii-4,nii-3) * var(or-4,:,:) + &
+ a(nii-3,nii-3) * var(or-3,:,:) + &
+ a(nii-2,nii-3) * var(or-2,:,:) + &
+ a(nii-1,nii-3) * var(or-1,:,:) + &
+ a(nii,nii-3) * var(or,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(nii-9,nii-2) * var(or-9,:,:) + &
+ a(nii-8,nii-2) * var(or-8,:,:) + &
+ a(nii-7,nii-2) * var(or-7,:,:) + &
+ a(nii-6,nii-2) * var(or-6,:,:) + &
+ a(nii-5,nii-2) * var(or-5,:,:) + &
+ a(nii-4,nii-2) * var(or-4,:,:) + &
+ a(nii-3,nii-2) * var(or-3,:,:) + &
+ a(nii-2,nii-2) * var(or-2,:,:) + &
+ a(nii-1,nii-2) * var(or-1,:,:) + &
+ a(nii,nii-2) * var(or,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(nii-9,nii-1) * var(or-9,:,:) + &
+ a(nii-8,nii-1) * var(or-8,:,:) + &
+ a(nii-7,nii-1) * var(or-7,:,:) + &
+ a(nii-6,nii-1) * var(or-6,:,:) + &
+ a(nii-5,nii-1) * var(or-5,:,:) + &
+ a(nii-4,nii-1) * var(or-4,:,:) + &
+ a(nii-3,nii-1) * var(or-3,:,:) + &
+ a(nii-2,nii-1) * var(or-2,:,:) + &
+ a(nii-1,nii-1) * var(or-1,:,:) + &
+ a(nii,nii-1) * var(or,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(nii-3,nii) * var(or-3,:,:) + &
+ a(nii-2,nii) * var(or-2,:,:) + &
+ a(nii-1,nii) * var(or-1,:,:) + &
+ a(nii,nii) * var(or,:,:) ) * idel
+
+ ir = or - 7
end if
- do i = il, ir
-
- rhs(i,:,:) = rhs(i,:,:) + &
+ if ( bb(1) /= 0) then
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
+ ( a(i-ol-3,i-ol) * var(i-3,:,:) + &
+ a(i-ol-2,i-ol) * var(i-2,:,:) + &
+ a(i-ol-1,i-ol) * var(i-1,:,:) + &
+ a(i-ol,i-ol) * var(i,:,:) + &
+ a(i-ol+1,i-ol) * var(i+1,:,:) + &
+ a(i-ol+2,i-ol) * var(i+2,:,:) + &
+ a(i-ol+3,i-ol) * var(i+3,:,:) ) * idel
+
+ end do
+ else
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
( a(i-3,i) * var(i-3,:,:) + &
a(i-2,i) * var(i-2,:,:) + &
a(i-1,i) * var(i-1,:,:) + &
@@ -249,14 +273,23 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
a(i+2,i) * var(i+2,:,:) + &
a(i+3,i) * var(i+3,:,:) ) * idel
- end do
+ end do
+ endif
if ( zero_derivs_y == 0 ) then
if ( .not. savedy(patch) ) then
- allocate ( atmp(nj,nj), d(nj,nj), b(nj,nj), h(nj,nj), tmp(nj,nj) )
+ njj = nj
+ if ( bb(3) /= 0 ) then
+ njj = njj - offset(3)
+ endif
+ if ( bb(4) /= 0 ) then
+ njj = njj - offset(4)
+ endif
+
+ allocate ( atmp(njj,njj), d(njj,njj), b(njj,njj), h(njj,njj), tmp(njj,njj) )
atmp = zero; d = zero; b = zero; h = zero; tmp = zero
- call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2), lbnd(2), delta(2), dfl(2) )
+ call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2)-offset(3)-offset(4), lbnd(2), delta(2), dfl(2) )
call set_hmatrix ( h, bb(3:4) )
@@ -272,7 +305,7 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
end if
- center = gsh(2) / 2
+ center = (gsh(2)-offset(3)-offset(4)) / 2
jr = center + max(gsize(2),3)
call set_dmatrix_half ( d(1:jr,1:jr), 1 )
@@ -286,19 +319,19 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
jl = center + 1 - max(gsize(2),3)
d = zero
- call set_dmatrix_half ( d(jl:nj,jl:nj), 2 )
- tmp(jl:nj,jl:nj) = -transpose ( &
- matmul ( h(jl:nj,jl:nj), &
+ call set_dmatrix_half ( d(jl:njj,jl:njj), 2 )
+ tmp(jl:njj,jl:njj) = -transpose ( &
+ matmul ( h(jl:njj,jl:njj), &
matmul ( &
- transpose ( d(jl:nj,jl:nj) ), &
- matmul ( b(jl:nj,jl:nj), &
- d(jl:nj,jl:nj) ) ) ) )
+ transpose ( d(jl:njj,jl:njj) ), &
+ matmul ( b(jl:njj,jl:njj), &
+ d(jl:njj,jl:njj) ) ) ) )
- atmp(jl:nj,center+1:nj) = tmp(jl:nj,center+1:nj)
+ atmp(jl:njj,center+1:njj) = tmp(jl:njj,center+1:njj)
end if
- allocate ( ycoeff(patch)%coeff(nj,nj) )
+ allocate ( ycoeff(patch)%coeff(njj,njj) )
ycoeff(patch)%coeff = atmp
@@ -321,48 +354,49 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
jl = 1 + gsize(2)
else
-
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + &
- a(7,2) * var(:,7,:) + a(8,2) * var(:,8,:) + &
- a(9,2) * var(:,9,:) + a(10,2) * var(:,10,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) + a(8,3) * var(:,8,:) + &
- a(9,3) * var(:,9,:) + a(10,3) * var(:,10,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) + &
- a(9,4) * var(:,9,:) + a(10,4) * var(:,10,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) + &
- a(9,5) * var(:,9,:) + a(10,5) * var(:,10,:) ) * idel
- rhs(:,6,:) = rhs(:,6,:) + &
- ( a(1,6) * var(:,1,:) + a(2,6) * var(:,2,:) + &
- a(3,6) * var(:,3,:) + a(4,6) * var(:,4,:) + &
- a(5,6) * var(:,5,:) + a(6,6) * var(:,6,:) + &
- a(7,6) * var(:,7,:) + a(8,6) * var(:,8,:) + &
- a(9,6) * var(:,9,:) + a(10,6) * var(:,10,:) ) * idel
- rhs(:,7,:) = rhs(:,7,:) + &
- ( a(1,7) * var(:,1,:) + a(2,7) * var(:,2,:) + &
- a(3,7) * var(:,3,:) + a(4,7) * var(:,4,:) + &
- a(5,7) * var(:,5,:) + a(6,7) * var(:,6,:) + &
- a(7,7) * var(:,7,:) + a(8,7) * var(:,8,:) + &
- a(9,7) * var(:,9,:) + a(10,7) * var(:,10,:) ) * idel
-
- jl = 8
+ ol = offset(3)
+
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) + &
+ a(7,2) * var(:,7+ol,:) + a(8,2) * var(:,8+ol,:) + &
+ a(9,2) * var(:,9+ol,:) + a(10,2) * var(:,10+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) + a(8,3) * var(:,8+ol,:) + &
+ a(9,3) * var(:,9+ol,:) + a(10,3) * var(:,10+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) + a(8,4) * var(:,8+ol,:) + &
+ a(9,4) * var(:,9+ol,:) + a(10,4) * var(:,10+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) + a(8,5) * var(:,8+ol,:) + &
+ a(9,5) * var(:,9+ol,:) + a(10,5) * var(:,10+ol,:) ) * idel
+ rhs(:,6+ol,:) = rhs(:,6+ol,:) + &
+ ( a(1,6) * var(:,1+ol,:) + a(2,6) * var(:,2+ol,:) + &
+ a(3,6) * var(:,3+ol,:) + a(4,6) * var(:,4+ol,:) + &
+ a(5,6) * var(:,5+ol,:) + a(6,6) * var(:,6+ol,:) + &
+ a(7,6) * var(:,7+ol,:) + a(8,6) * var(:,8+ol,:) + &
+ a(9,6) * var(:,9+ol,:) + a(10,6) * var(:,10+ol,:) ) * idel
+ rhs(:,7+ol,:) = rhs(:,7+ol,:) + &
+ ( a(1,7) * var(:,1+ol,:) + a(2,7) * var(:,2+ol,:) + &
+ a(3,7) * var(:,3+ol,:) + a(4,7) * var(:,4+ol,:) + &
+ a(5,7) * var(:,5+ol,:) + a(6,7) * var(:,6+ol,:) + &
+ a(7,7) * var(:,7+ol,:) + a(8,7) * var(:,8+ol,:) + &
+ a(9,7) * var(:,9+ol,:) + a(10,7) * var(:,10+ol,:) ) * idel
+
+ jl = 8 + ol
end if
@@ -371,104 +405,124 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
jr = nj - gsize(2)
else
-
- rhs(:,nj-6,:) = rhs(:,nj-6,:) + &
- ( a(nj-9,nj-6) * var(:,nj-9,:) + &
- a(nj-8,nj-6) * var(:,nj-8,:) + &
- a(nj-7,nj-6) * var(:,nj-7,:) + &
- a(nj-6,nj-6) * var(:,nj-6,:) + &
- a(nj-5,nj-6) * var(:,nj-5,:) + &
- a(nj-4,nj-6) * var(:,nj-4,:) + &
- a(nj-3,nj-6) * var(:,nj-3,:) + &
- a(nj-2,nj-6) * var(:,nj-2,:) + &
- a(nj-1,nj-6) * var(:,nj-1,:) + &
- a(nj,nj-6) * var(:,nj,:) ) * idel
- rhs(:,nj-5,:) = rhs(:,nj-5,:) + &
- ( a(nj-9,nj-5) * var(:,nj-9,:) + &
- a(nj-8,nj-5) * var(:,nj-8,:) + &
- a(nj-7,nj-5) * var(:,nj-7,:) + &
- a(nj-6,nj-5) * var(:,nj-6,:) + &
- a(nj-5,nj-5) * var(:,nj-5,:) + &
- a(nj-4,nj-5) * var(:,nj-4,:) + &
- a(nj-3,nj-5) * var(:,nj-3,:) + &
- a(nj-2,nj-5) * var(:,nj-2,:) + &
- a(nj-1,nj-5) * var(:,nj-1,:) + &
- a(nj,nj-5) * var(:,nj,:) ) * idel
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(nj-9,nj-4) * var(:,nj-9,:) + &
- a(nj-8,nj-4) * var(:,nj-8,:) + &
- a(nj-7,nj-4) * var(:,nj-7,:) + &
- a(nj-6,nj-4) * var(:,nj-6,:) + &
- a(nj-5,nj-4) * var(:,nj-5,:) + &
- a(nj-4,nj-4) * var(:,nj-4,:) + &
- a(nj-3,nj-4) * var(:,nj-3,:) + &
- a(nj-2,nj-4) * var(:,nj-2,:) + &
- a(nj-1,nj-4) * var(:,nj-1,:) + &
- a(nj,nj-4) * var(:,nj,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(nj-9,nj-3) * var(:,nj-9,:) + &
- a(nj-8,nj-3) * var(:,nj-8,:) + &
- a(nj-7,nj-3) * var(:,nj-7,:) + &
- a(nj-6,nj-3) * var(:,nj-6,:) + &
- a(nj-5,nj-3) * var(:,nj-5,:) + &
- a(nj-4,nj-3) * var(:,nj-4,:) + &
- a(nj-3,nj-3) * var(:,nj-3,:) + &
- a(nj-2,nj-3) * var(:,nj-2,:) + &
- a(nj-1,nj-3) * var(:,nj-1,:) + &
- a(nj,nj-3) * var(:,nj,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(nj-9,nj-2) * var(:,nj-9,:) + &
- a(nj-8,nj-2) * var(:,nj-8,:) + &
- a(nj-7,nj-2) * var(:,nj-7,:) + &
- a(nj-6,nj-2) * var(:,nj-6,:) + &
- a(nj-5,nj-2) * var(:,nj-5,:) + &
- a(nj-4,nj-2) * var(:,nj-4,:) + &
- a(nj-3,nj-2) * var(:,nj-3,:) + &
- a(nj-2,nj-2) * var(:,nj-2,:) + &
- a(nj-1,nj-2) * var(:,nj-1,:) + &
- a(nj,nj-2) * var(:,nj,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(nj-9,nj-1) * var(:,nj-9,:) + &
- a(nj-8,nj-1) * var(:,nj-8,:) + &
- a(nj-7,nj-1) * var(:,nj-7,:) + &
- a(nj-6,nj-1) * var(:,nj-6,:) + &
- a(nj-5,nj-1) * var(:,nj-5,:) + &
- a(nj-4,nj-1) * var(:,nj-4,:) + &
- a(nj-3,nj-1) * var(:,nj-3,:) + &
- a(nj-2,nj-1) * var(:,nj-2,:) + &
- a(nj-1,nj-1) * var(:,nj-1,:) + &
- a(nj,nj-1) * var(:,nj,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(nj-3,nj) * var(:,nj-3,:) + &
- a(nj-2,nj) * var(:,nj-2,:) + &
- a(nj-1,nj) * var(:,nj-1,:) + &
- a(nj,nj) * var(:,nj,:) ) * idel
-
- jr = nj - 7
+ or = nj - offset(4)
+
+
+ rhs(:,or-6,:) = rhs(:,or-6,:) + &
+ ( a(njj-9,njj-6) * var(:,or-9,:) + &
+ a(njj-8,njj-6) * var(:,or-8,:) + &
+ a(njj-7,njj-6) * var(:,or-7,:) + &
+ a(njj-6,njj-6) * var(:,or-6,:) + &
+ a(njj-5,njj-6) * var(:,or-5,:) + &
+ a(njj-4,njj-6) * var(:,or-4,:) + &
+ a(njj-3,njj-6) * var(:,or-3,:) + &
+ a(njj-2,njj-6) * var(:,or-2,:) + &
+ a(njj-1,njj-6) * var(:,or-1,:) + &
+ a(njj,njj-6) * var(:,or,:) ) * idel
+ rhs(:,or-5,:) = rhs(:,or-5,:) + &
+ ( a(njj-9,njj-5) * var(:,or-9,:) + &
+ a(njj-8,njj-5) * var(:,or-8,:) + &
+ a(njj-7,njj-5) * var(:,or-7,:) + &
+ a(njj-6,njj-5) * var(:,or-6,:) + &
+ a(njj-5,njj-5) * var(:,or-5,:) + &
+ a(njj-4,njj-5) * var(:,or-4,:) + &
+ a(njj-3,njj-5) * var(:,or-3,:) + &
+ a(njj-2,njj-5) * var(:,or-2,:) + &
+ a(njj-1,njj-5) * var(:,or-1,:) + &
+ a(njj,njj-5) * var(:,or,:) ) * idel
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(njj-9,njj-4) * var(:,or-9,:) + &
+ a(njj-8,njj-4) * var(:,or-8,:) + &
+ a(njj-7,njj-4) * var(:,or-7,:) + &
+ a(njj-6,njj-4) * var(:,or-6,:) + &
+ a(njj-5,njj-4) * var(:,or-5,:) + &
+ a(njj-4,njj-4) * var(:,or-4,:) + &
+ a(njj-3,njj-4) * var(:,or-3,:) + &
+ a(njj-2,njj-4) * var(:,or-2,:) + &
+ a(njj-1,njj-4) * var(:,or-1,:) + &
+ a(njj,njj-4) * var(:,or,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(njj-9,njj-3) * var(:,or-9,:) + &
+ a(njj-8,njj-3) * var(:,or-8,:) + &
+ a(njj-7,njj-3) * var(:,or-7,:) + &
+ a(njj-6,njj-3) * var(:,or-6,:) + &
+ a(njj-5,njj-3) * var(:,or-5,:) + &
+ a(njj-4,njj-3) * var(:,or-4,:) + &
+ a(njj-3,njj-3) * var(:,or-3,:) + &
+ a(njj-2,njj-3) * var(:,or-2,:) + &
+ a(njj-1,njj-3) * var(:,or-1,:) + &
+ a(njj,njj-3) * var(:,or,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(njj-9,njj-2) * var(:,or-9,:) + &
+ a(njj-8,njj-2) * var(:,or-8,:) + &
+ a(njj-7,njj-2) * var(:,or-7,:) + &
+ a(njj-6,njj-2) * var(:,or-6,:) + &
+ a(njj-5,njj-2) * var(:,or-5,:) + &
+ a(njj-4,njj-2) * var(:,or-4,:) + &
+ a(njj-3,njj-2) * var(:,or-3,:) + &
+ a(njj-2,njj-2) * var(:,or-2,:) + &
+ a(njj-1,njj-2) * var(:,or-1,:) + &
+ a(njj,njj-2) * var(:,or,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(njj-9,njj-1) * var(:,or-9,:) + &
+ a(njj-8,njj-1) * var(:,or-8,:) + &
+ a(njj-7,njj-1) * var(:,or-7,:) + &
+ a(njj-6,njj-1) * var(:,or-6,:) + &
+ a(njj-5,njj-1) * var(:,or-5,:) + &
+ a(njj-4,njj-1) * var(:,or-4,:) + &
+ a(njj-3,njj-1) * var(:,or-3,:) + &
+ a(njj-2,njj-1) * var(:,or-2,:) + &
+ a(njj-1,njj-1) * var(:,or-1,:) + &
+ a(njj,njj-1) * var(:,or,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(njj-3,njj) * var(:,or-3,:) + &
+ a(njj-2,njj) * var(:,or-2,:) + &
+ a(njj-1,njj) * var(:,or-1,:) + &
+ a(njj,njj) * var(:,or,:) ) * idel
+
+ jr = or - 7
end if
- do j = jl, jr
-
- rhs(:,j,:) = rhs(:,j,:) + &
- ( a(j-3,j) * var(:,j-3,:) + &
+ if ( bb(3) /= 0 ) then
+ do j = jl, jr
+ rhs(:,j,:) = rhs(:,j,:) + &
+ ( a(j-ol-3,j-ol) * var(:,j-3,:) + &
+ a(j-ol-2,j-ol) * var(:,j-2,:) + &
+ a(j-ol-1,j-ol) * var(:,j-1,:) + &
+ a(j-ol,j-ol) * var(:,j,:) + &
+ a(j-ol+1,j-ol) * var(:,j+1,:) + &
+ a(j-ol+2,j-ol) * var(:,j+2,:) + &
+ a(j-ol+3,j-ol) * var(:,j+3,:) ) * idel
+ end do
+ else
+ do j = jl, jr
+ rhs(:,j,:) = rhs(:,j,:) + &
+ ( a(j-3,j) * var(:,j-3,:) + &
a(j-2,j) * var(:,j-2,:) + &
a(j-1,j) * var(:,j-1,:) + &
a(j,j) * var(:,j,:) + &
a(j+1,j) * var(:,j+1,:) + &
a(j+2,j) * var(:,j+2,:) + &
a(j+3,j) * var(:,j+3,:) ) * idel
-
- end do
+ end do
+ endif
end if
if ( zero_derivs_z == 0 ) then
if ( .not. savedz(patch) ) then
- allocate ( atmp(nk,nk), d(nk,nk), b(nk,nk), h(nk,nk), tmp(nk,nk) )
+ nkk = nk
+ if ( bb(5) /= 0 ) then
+ nkk = nkk - offset(5)
+ endif
+ if ( bb(6) /= 0 ) then
+ nkk = nkk - offset(6)
+ endif
+ allocate ( atmp(nkk,nkk), d(nkk,nkk), b(nkk,nkk), h(nkk,nkk), tmp(nkk,nkk) )
atmp = zero; d = zero; b = zero; h = zero; tmp = zero
- call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3), lbnd(3), delta(3), dfl(3) )
+ call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3)-offset(5)-offset(6), lbnd(3), delta(3), dfl(3) )
call set_hmatrix ( h, bb(5:6) )
@@ -484,7 +538,7 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
end if
- center = gsh(3) / 2
+ center = (gsh(3)-offset(5)-offset(6)) / 2
kr = center + max(gsize(3),3)
call set_dmatrix_half ( d(1:kr,1:kr), 1 )
@@ -500,19 +554,19 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
kl = center + 1 - max(gsize(3),3)
d = zero
- call set_dmatrix_half ( d(kl:nk,kl:nk), 2 )
- tmp(kl:nk,kl:nk) = -transpose ( &
- matmul ( h(kl:nk,kl:nk), &
+ call set_dmatrix_half ( d(kl:nkk,kl:nkk), 2 )
+ tmp(kl:nkk,kl:nkk) = -transpose ( &
+ matmul ( h(kl:nkk,kl:nkk), &
matmul ( &
- transpose ( d(kl:nk,kl:nk) ), &
- matmul ( b(kl:nk,kl:nk), &
- d(kl:nk,kl:nk) ) ) ) )
+ transpose ( d(kl:nkk,kl:nkk) ), &
+ matmul ( b(kl:nkk,kl:nkk), &
+ d(kl:nkk,kl:nkk) ) ) ) )
- atmp(kl:nk,center+1:nk) = tmp(kl:nk,center+1:nk)
+ atmp(kl:nkk,center+1:nkk) = tmp(kl:nkk,center+1:nkk)
end if
- allocate ( zcoeff(patch)%coeff(nk,nk) )
+ allocate ( zcoeff(patch)%coeff(nkk,nkk) )
zcoeff(patch)%coeff = atmp
@@ -535,48 +589,49 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
kl = 1 + gsize(3)
else
-
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + &
- a(7,2) * var(:,:,7) + a(8,2) * var(:,:,8) + &
- a(9,2) * var(:,:,9) + a(10,2) * var(:,:,10) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) + a(8,3) * var(:,:,8) + &
- a(9,3) * var(:,:,9) + a(10,3) * var(:,:,10) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) + &
- a(9,4) * var(:,:,9) + a(10,4) * var(:,:,10) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) + &
- a(9,5) * var(:,:,9) + a(10,5) * var(:,:,10) ) * idel
- rhs(:,:,6) = rhs(:,:,6) + &
- ( a(1,6) * var(:,:,1) + a(2,6) * var(:,:,2) + &
- a(3,6) * var(:,:,3) + a(4,6) * var(:,:,4) + &
- a(5,6) * var(:,:,5) + a(6,6) * var(:,:,6) + &
- a(7,6) * var(:,:,7) + a(8,6) * var(:,:,8) + &
- a(9,6) * var(:,:,9) + a(10,6) * var(:,:,10) ) * idel
- rhs(:,:,7) = rhs(:,:,7) + &
- ( a(1,7) * var(:,:,1) + a(2,7) * var(:,:,2) + &
- a(3,7) * var(:,:,3) + a(4,7) * var(:,:,4) + &
- a(5,7) * var(:,:,5) + a(6,7) * var(:,:,6) + &
- a(7,7) * var(:,:,7) + a(8,7) * var(:,:,8) + &
- a(9,7) * var(:,:,9) + a(10,7) * var(:,:,10) ) * idel
-
- kl = 8
+ ol = offset(5)
+
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) + &
+ a(7,2) * var(:,:,7+ol) + a(8,2) * var(:,:,8+ol) + &
+ a(9,2) * var(:,:,9+ol) + a(10,2) * var(:,:,10+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) + a(8,3) * var(:,:,8+ol) + &
+ a(9,3) * var(:,:,9+ol) + a(10,3) * var(:,:,10+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) + a(8,4) * var(:,:,8+ol) + &
+ a(9,4) * var(:,:,9+ol) + a(10,4) * var(:,:,10+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) + a(8,5) * var(:,:,8+ol) + &
+ a(9,5) * var(:,:,9+ol) + a(10,5) * var(:,:,10+ol) ) * idel
+ rhs(:,:,6+ol) = rhs(:,:,6+ol) + &
+ ( a(1,6) * var(:,:,1+ol) + a(2,6) * var(:,:,2+ol) + &
+ a(3,6) * var(:,:,3+ol) + a(4,6) * var(:,:,4+ol) + &
+ a(5,6) * var(:,:,5+ol) + a(6,6) * var(:,:,6+ol) + &
+ a(7,6) * var(:,:,7+ol) + a(8,6) * var(:,:,8+ol) + &
+ a(9,6) * var(:,:,9+ol) + a(10,6) * var(:,:,10+ol) ) * idel
+ rhs(:,:,7+ol) = rhs(:,:,7+ol) + &
+ ( a(1,7) * var(:,:,1+ol) + a(2,7) * var(:,:,2+ol) + &
+ a(3,7) * var(:,:,3+ol) + a(4,7) * var(:,:,4+ol) + &
+ a(5,7) * var(:,:,5+ol) + a(6,7) * var(:,:,6+ol) + &
+ a(7,7) * var(:,:,7+ol) + a(8,7) * var(:,:,8+ol) + &
+ a(9,7) * var(:,:,9+ol) + a(10,7) * var(:,:,10+ol) ) * idel
+
+ kl = 8 + ol
end if
@@ -585,86 +640,98 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
kr = nk - gsize(3)
else
-
- rhs(:,:,nk-6) = rhs(:,:,nk-6) + &
- ( a(nk-9,nk-6) * var(:,:,nk-9) + &
- a(nk-8,nk-6) * var(:,:,nk-8) + &
- a(nk-7,nk-6) * var(:,:,nk-7) + &
- a(nk-6,nk-6) * var(:,:,nk-6) + &
- a(nk-5,nk-6) * var(:,:,nk-5) + &
- a(nk-4,nk-6) * var(:,:,nk-4) + &
- a(nk-3,nk-6) * var(:,:,nk-3) + &
- a(nk-2,nk-6) * var(:,:,nk-2) + &
- a(nk-1,nk-6) * var(:,:,nk-1) + &
- a(nk,nk-6) * var(:,:,nk) ) * idel
- rhs(:,:,nk-5) = rhs(:,:,nk-5) + &
- ( a(nk-9,nk-5) * var(:,:,nk-9) + &
- a(nk-8,nk-5) * var(:,:,nk-8) + &
- a(nk-7,nk-5) * var(:,:,nk-7) + &
- a(nk-6,nk-5) * var(:,:,nk-6) + &
- a(nk-5,nk-5) * var(:,:,nk-5) + &
- a(nk-4,nk-5) * var(:,:,nk-4) + &
- a(nk-3,nk-5) * var(:,:,nk-3) + &
- a(nk-2,nk-5) * var(:,:,nk-2) + &
- a(nk-1,nk-5) * var(:,:,nk-1) + &
- a(nk,nk-5) * var(:,:,nk) ) * idel
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(nk-9,nk-4) * var(:,:,nk-9) + &
- a(nk-8,nk-4) * var(:,:,nk-8) + &
- a(nk-7,nk-4) * var(:,:,nk-7) + &
- a(nk-6,nk-4) * var(:,:,nk-6) + &
- a(nk-5,nk-4) * var(:,:,nk-5) + &
- a(nk-4,nk-4) * var(:,:,nk-4) + &
- a(nk-3,nk-4) * var(:,:,nk-3) + &
- a(nk-2,nk-4) * var(:,:,nk-2) + &
- a(nk-1,nk-4) * var(:,:,nk-1) + &
- a(nk,nk-4) * var(:,:,nk) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(nk-9,nk-3) * var(:,:,nk-9) + &
- a(nk-8,nk-3) * var(:,:,nk-8) + &
- a(nk-7,nk-3) * var(:,:,nk-7) + &
- a(nk-6,nk-3) * var(:,:,nk-6) + &
- a(nk-5,nk-3) * var(:,:,nk-5) + &
- a(nk-4,nk-3) * var(:,:,nk-4) + &
- a(nk-3,nk-3) * var(:,:,nk-3) + &
- a(nk-2,nk-3) * var(:,:,nk-2) + &
- a(nk-1,nk-3) * var(:,:,nk-1) + &
- a(nk,nk-3) * var(:,:,nk) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(nk-9,nk-2) * var(:,:,nk-9) + &
- a(nk-8,nk-2) * var(:,:,nk-8) + &
- a(nk-7,nk-2) * var(:,:,nk-7) + &
- a(nk-6,nk-2) * var(:,:,nk-6) + &
- a(nk-5,nk-2) * var(:,:,nk-5) + &
- a(nk-4,nk-2) * var(:,:,nk-4) + &
- a(nk-3,nk-2) * var(:,:,nk-3) + &
- a(nk-2,nk-2) * var(:,:,nk-2) + &
- a(nk-1,nk-2) * var(:,:,nk-1) + &
- a(nk,nk-2) * var(:,:,nk) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(nk-9,nk-1) * var(:,:,nk-9) + &
- a(nk-8,nk-1) * var(:,:,nk-8) + &
- a(nk-7,nk-1) * var(:,:,nk-7) + &
- a(nk-6,nk-1) * var(:,:,nk-6) + &
- a(nk-5,nk-1) * var(:,:,nk-5) + &
- a(nk-4,nk-1) * var(:,:,nk-4) + &
- a(nk-3,nk-1) * var(:,:,nk-3) + &
- a(nk-2,nk-1) * var(:,:,nk-2) + &
- a(nk-1,nk-1) * var(:,:,nk-1) + &
- a(nk,nk-1) * var(:,:,nk) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(nk-3,nk) * var(:,:,nk-3) + &
- a(nk-2,nk) * var(:,:,nk-2) + &
- a(nk-1,nk) * var(:,:,nk-1) + &
- a(nk,nk) * var(:,:,nk) ) * idel
-
- kr = nk - 7
+ or = nk - offset(6)
+
+ rhs(:,:,or-6) = rhs(:,:,or-6) + &
+ ( a(nkk-9,nkk-6) * var(:,:,or-9) + &
+ a(nkk-8,nkk-6) * var(:,:,or-8) + &
+ a(nkk-7,nkk-6) * var(:,:,or-7) + &
+ a(nkk-6,nkk-6) * var(:,:,or-6) + &
+ a(nkk-5,nkk-6) * var(:,:,or-5) + &
+ a(nkk-4,nkk-6) * var(:,:,or-4) + &
+ a(nkk-3,nkk-6) * var(:,:,or-3) + &
+ a(nkk-2,nkk-6) * var(:,:,or-2) + &
+ a(nkk-1,nkk-6) * var(:,:,or-1) + &
+ a(nkk,nkk-6) * var(:,:,or) ) * idel
+ rhs(:,:,or-5) = rhs(:,:,or-5) + &
+ ( a(nkk-9,nkk-5) * var(:,:,or-9) + &
+ a(nkk-8,nkk-5) * var(:,:,or-8) + &
+ a(nkk-7,nkk-5) * var(:,:,or-7) + &
+ a(nkk-6,nkk-5) * var(:,:,or-6) + &
+ a(nkk-5,nkk-5) * var(:,:,or-5) + &
+ a(nkk-4,nkk-5) * var(:,:,or-4) + &
+ a(nkk-3,nkk-5) * var(:,:,or-3) + &
+ a(nkk-2,nkk-5) * var(:,:,or-2) + &
+ a(nkk-1,nkk-5) * var(:,:,or-1) + &
+ a(nkk,nkk-5) * var(:,:,or) ) * idel
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(nkk-9,nkk-4) * var(:,:,or-9) + &
+ a(nkk-8,nkk-4) * var(:,:,or-8) + &
+ a(nkk-7,nkk-4) * var(:,:,or-7) + &
+ a(nkk-6,nkk-4) * var(:,:,or-6) + &
+ a(nkk-5,nkk-4) * var(:,:,or-5) + &
+ a(nkk-4,nkk-4) * var(:,:,or-4) + &
+ a(nkk-3,nkk-4) * var(:,:,or-3) + &
+ a(nkk-2,nkk-4) * var(:,:,or-2) + &
+ a(nkk-1,nkk-4) * var(:,:,or-1) + &
+ a(nkk,nkk-4) * var(:,:,or) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(nkk-9,nkk-3) * var(:,:,or-9) + &
+ a(nkk-8,nkk-3) * var(:,:,or-8) + &
+ a(nkk-7,nkk-3) * var(:,:,or-7) + &
+ a(nkk-6,nkk-3) * var(:,:,or-6) + &
+ a(nkk-5,nkk-3) * var(:,:,or-5) + &
+ a(nkk-4,nkk-3) * var(:,:,or-4) + &
+ a(nkk-3,nkk-3) * var(:,:,or-3) + &
+ a(nkk-2,nkk-3) * var(:,:,or-2) + &
+ a(nkk-1,nkk-3) * var(:,:,or-1) + &
+ a(nkk,nkk-3) * var(:,:,or) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(nkk-9,nkk-2) * var(:,:,or-9) + &
+ a(nkk-8,nkk-2) * var(:,:,or-8) + &
+ a(nkk-7,nkk-2) * var(:,:,or-7) + &
+ a(nkk-6,nkk-2) * var(:,:,or-6) + &
+ a(nkk-5,nkk-2) * var(:,:,or-5) + &
+ a(nkk-4,nkk-2) * var(:,:,or-4) + &
+ a(nkk-3,nkk-2) * var(:,:,or-3) + &
+ a(nkk-2,nkk-2) * var(:,:,or-2) + &
+ a(nkk-1,nkk-2) * var(:,:,or-1) + &
+ a(nkk,nkk-2) * var(:,:,or) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(nkk-9,nkk-1) * var(:,:,or-9) + &
+ a(nkk-8,nkk-1) * var(:,:,or-8) + &
+ a(nkk-7,nkk-1) * var(:,:,or-7) + &
+ a(nkk-6,nkk-1) * var(:,:,or-6) + &
+ a(nkk-5,nkk-1) * var(:,:,or-5) + &
+ a(nkk-4,nkk-1) * var(:,:,or-4) + &
+ a(nkk-3,nkk-1) * var(:,:,or-3) + &
+ a(nkk-2,nkk-1) * var(:,:,or-2) + &
+ a(nkk-1,nkk-1) * var(:,:,or-1) + &
+ a(nkk,nkk-1) * var(:,:,or) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(nkk-3,nkk) * var(:,:,or-3) + &
+ a(nkk-2,nkk) * var(:,:,or-2) + &
+ a(nkk-1,nkk) * var(:,:,or-1) + &
+ a(nkk,nkk) * var(:,:,or) ) * idel
+
+ kr = or - 7
end if
- do k = kl, kr
-
- rhs(:,:,k) = rhs(:,:,k) + &
+ if ( bb(5) /= 0 ) then
+ do k = kl, kr
+ rhs(:,:,k) = rhs(:,:,k) + &
+ ( a(k-ol-3,k-ol) * var(:,:,k-3) + &
+ a(k-ol-2,k-ol) * var(:,:,k-2) + &
+ a(k-ol-1,k-ol) * var(:,:,k-1) + &
+ a(k-ol,k-ol) * var(:,:,k) + &
+ a(k-ol+1,k-ol) * var(:,:,k+1) + &
+ a(k-ol+2,k-ol) * var(:,:,k+2) + &
+ a(k-ol+3,k-ol) * var(:,:,k+3) ) * idel
+ end do
+ else
+ do k = kl, kr
+ rhs(:,:,k) = rhs(:,:,k) + &
( a(k-3,k) * var(:,:,k-3) + &
a(k-2,k) * var(:,:,k-2) + &
a(k-1,k) * var(:,:,k-1) + &
@@ -672,8 +739,8 @@ subroutine dissipation_6_5_opt (var, lsh, gsh, lbnd, bb, gsize, &
a(k+1,k) * var(:,:,k+1) + &
a(k+2,k) * var(:,:,k+2) + &
a(k+3,k) * var(:,:,k+3) ) * idel
-
- end do
+ end do
+ endif
end if
diff --git a/src/Dissipation_6_5_min_err_coeff_alt.F90 b/src/Dissipation_6_5_min_err_coeff_alt.F90
index fa99633..53b5e39 100644
--- a/src/Dissipation_6_5_min_err_coeff_alt.F90
+++ b/src/Dissipation_6_5_min_err_coeff_alt.F90
@@ -5,7 +5,7 @@
#include "cctk_Functions.h"
-subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
+subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, offset, &
delta, epsilon, dfl, npatches, patch, rhs)
use dissipation_coeff
@@ -21,6 +21,7 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
CCTK_REAL, dimension(3), intent(in) :: dfl
@@ -33,7 +34,8 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
CCTK_REAL, dimension(:,:), pointer :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
+ CCTK_INT :: nii, njj, nkk
ni = lsh(1); nj = lsh(2); nk = lsh(3)
@@ -45,10 +47,17 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
end if
if ( .not. savedx(patch) ) then
- allocate ( atmp(ni,ni), d(ni,ni), b(ni,ni), h(ni,ni) )
+ nii = ni
+ if ( bb(1) /= 0 ) then
+ nii = nii - offset(1)
+ endif
+ if ( bb(2) /= 0 ) then
+ nii = nii - offset(2)
+ endif
+ allocate ( atmp(nii,nii), d(nii,nii), b(nii,nii), h(nii,nii) )
atmp = zero; d = zero; b = zero; h = zero
- call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1), lbnd(1), delta(1), dfl(1) )
+ call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1)-offset(1)-offset(2), lbnd(1), delta(1), dfl(1) )
call set_hmatrix ( h, bb(1:2) )
@@ -56,7 +65,7 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
atmp = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
- allocate ( xcoeff(patch)%coeff(ni,ni) )
+ allocate ( xcoeff(patch)%coeff(nii,nii) )
xcoeff(patch)%coeff = atmp
@@ -75,55 +84,56 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
il = 1 + gsize(1)
else
-
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) + &
- a(5,1) * var(5,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + &
- a(7,2) * var(7,:,:) + a(8,2) * var(8,:,:) + &
- a(9,2) * var(9,:,:) + a(10,2) * var(10,:,:) + &
- a(11,2) * var(11,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) + a(8,3) * var(8,:,:) + &
- a(9,3) * var(9,:,:) + a(10,3) * var(10,:,:) + &
- a(11,3) * var(11,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) + &
- a(9,4) * var(9,:,:) + a(10,4) * var(10,:,:) + &
- a(11,4) * var(11,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) + &
- a(9,5) * var(9,:,:) + a(10,5) * var(10,:,:) + &
- a(11,5) * var(11,:,:) ) * idel
- rhs(6,:,:) = rhs(6,:,:) + &
- ( a(1,6) * var(1,:,:) + a(2,6) * var(2,:,:) + &
- a(3,6) * var(3,:,:) + a(4,6) * var(4,:,:) + &
- a(5,6) * var(5,:,:) + a(6,6) * var(6,:,:) + &
- a(7,6) * var(7,:,:) + a(8,6) * var(8,:,:) + &
- a(9,6) * var(9,:,:) + a(10,6) * var(10,:,:) + &
- a(11,6) * var(11,:,:) ) * idel
- rhs(7,:,:) = rhs(7,:,:) + &
- ( a(1,7) * var(1,:,:) + a(2,7) * var(2,:,:) + &
- a(3,7) * var(3,:,:) + a(4,7) * var(4,:,:) + &
- a(5,7) * var(5,:,:) + a(6,7) * var(6,:,:) + &
- a(7,7) * var(7,:,:) + a(8,7) * var(8,:,:) + &
- a(9,7) * var(9,:,:) + a(10,7) * var(10,:,:) + &
- a(11,7) * var(11,:,:) ) * idel
-
- il = 8
+ ol = offset(1)
+
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) + &
+ a(5,1) * var(5+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) + &
+ a(7,2) * var(7+ol,:,:) + a(8,2) * var(8+ol,:,:) + &
+ a(9,2) * var(9+ol,:,:) + a(10,2) * var(10+ol,:,:) + &
+ a(11,2) * var(11+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) + a(8,3) * var(8+ol,:,:) + &
+ a(9,3) * var(9+ol,:,:) + a(10,3) * var(10+ol,:,:) + &
+ a(11,3) * var(11+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) + a(8,4) * var(8+ol,:,:) + &
+ a(9,4) * var(9+ol,:,:) + a(10,4) * var(10+ol,:,:) + &
+ a(11,4) * var(11+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) + a(8,5) * var(8+ol,:,:) + &
+ a(9,5) * var(9+ol,:,:) + a(10,5) * var(10+ol,:,:) + &
+ a(11,5) * var(11+ol,:,:) ) * idel
+ rhs(6+ol,:,:) = rhs(6+ol,:,:) + &
+ ( a(1,6) * var(1+ol,:,:) + a(2,6) * var(2+ol,:,:) + &
+ a(3,6) * var(3+ol,:,:) + a(4,6) * var(4+ol,:,:) + &
+ a(5,6) * var(5+ol,:,:) + a(6,6) * var(6+ol,:,:) + &
+ a(7,6) * var(7+ol,:,:) + a(8,6) * var(8+ol,:,:) + &
+ a(9,6) * var(9+ol,:,:) + a(10,6) * var(10+ol,:,:) + &
+ a(11,6) * var(11+ol,:,:) ) * idel
+ rhs(7+ol,:,:) = rhs(7+ol,:,:) + &
+ ( a(1,7) * var(1+ol,:,:) + a(2,7) * var(2+ol,:,:) + &
+ a(3,7) * var(3+ol,:,:) + a(4,7) * var(4+ol,:,:) + &
+ a(5,7) * var(5+ol,:,:) + a(6,7) * var(6+ol,:,:) + &
+ a(7,7) * var(7+ol,:,:) + a(8,7) * var(8+ol,:,:) + &
+ a(9,7) * var(9+ol,:,:) + a(10,7) * var(10+ol,:,:) + &
+ a(11,7) * var(11+ol,:,:) ) * idel
+
+ il = 8 + ol
end if
@@ -132,111 +142,137 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
ir = ni - gsize(1)
else
-
- rhs(ni-6,:,:) = rhs(ni-6,:,:) + &
- ( a(ni-10,ni-6) * var(ni-10,:,:) + &
- a(ni-9,ni-6) * var(ni-9,:,:) + &
- a(ni-8,ni-6) * var(ni-8,:,:) + &
- a(ni-7,ni-6) * var(ni-7,:,:) + &
- a(ni-6,ni-6) * var(ni-6,:,:) + &
- a(ni-5,ni-6) * var(ni-5,:,:) + &
- a(ni-4,ni-6) * var(ni-4,:,:) + &
- a(ni-3,ni-6) * var(ni-3,:,:) + &
- a(ni-2,ni-6) * var(ni-2,:,:) + &
- a(ni-1,ni-6) * var(ni-1,:,:) + &
- a(ni,ni-6) * var(ni,:,:) ) * idel
- rhs(ni-5,:,:) = rhs(ni-5,:,:) + &
- ( a(ni-10,ni-5) * var(ni-10,:,:) + &
- a(ni-9,ni-5) * var(ni-9,:,:) + &
- a(ni-8,ni-5) * var(ni-8,:,:) + &
- a(ni-7,ni-5) * var(ni-7,:,:) + &
- a(ni-6,ni-5) * var(ni-6,:,:) + &
- a(ni-5,ni-5) * var(ni-5,:,:) + &
- a(ni-4,ni-5) * var(ni-4,:,:) + &
- a(ni-3,ni-5) * var(ni-3,:,:) + &
- a(ni-2,ni-5) * var(ni-2,:,:) + &
- a(ni-1,ni-5) * var(ni-1,:,:) + &
- a(ni,ni-5) * var(ni,:,:) ) * idel
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(ni-10,ni-4) * var(ni-10,:,:) + &
- a(ni-9,ni-4) * var(ni-9,:,:) + &
- a(ni-8,ni-4) * var(ni-8,:,:) + &
- a(ni-7,ni-4) * var(ni-7,:,:) + &
- a(ni-6,ni-4) * var(ni-6,:,:) + &
- a(ni-5,ni-4) * var(ni-5,:,:) + &
- a(ni-4,ni-4) * var(ni-4,:,:) + &
- a(ni-3,ni-4) * var(ni-3,:,:) + &
- a(ni-2,ni-4) * var(ni-2,:,:) + &
- a(ni-1,ni-4) * var(ni-1,:,:) + &
- a(ni,ni-4) * var(ni,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(ni-10,ni-3) * var(ni-10,:,:) + &
- a(ni-9,ni-3) * var(ni-9,:,:) + &
- a(ni-8,ni-3) * var(ni-8,:,:) + &
- a(ni-7,ni-3) * var(ni-7,:,:) + &
- a(ni-6,ni-3) * var(ni-6,:,:) + &
- a(ni-5,ni-3) * var(ni-5,:,:) + &
- a(ni-4,ni-3) * var(ni-4,:,:) + &
- a(ni-3,ni-3) * var(ni-3,:,:) + &
- a(ni-2,ni-3) * var(ni-2,:,:) + &
- a(ni-1,ni-3) * var(ni-1,:,:) + &
- a(ni,ni-3) * var(ni,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(ni-10,ni-2) * var(ni-10,:,:) + &
- a(ni-9,ni-2) * var(ni-9,:,:) + &
- a(ni-8,ni-2) * var(ni-8,:,:) + &
- a(ni-7,ni-2) * var(ni-7,:,:) + &
- a(ni-6,ni-2) * var(ni-6,:,:) + &
- a(ni-5,ni-2) * var(ni-5,:,:) + &
- a(ni-4,ni-2) * var(ni-4,:,:) + &
- a(ni-3,ni-2) * var(ni-3,:,:) + &
- a(ni-2,ni-2) * var(ni-2,:,:) + &
- a(ni-1,ni-2) * var(ni-1,:,:) + &
- a(ni,ni-2) * var(ni,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(ni-10,ni-1) * var(ni-10,:,:) + &
- a(ni-9,ni-1) * var(ni-9,:,:) + &
- a(ni-8,ni-1) * var(ni-8,:,:) + &
- a(ni-7,ni-1) * var(ni-7,:,:) + &
- a(ni-6,ni-1) * var(ni-6,:,:) + &
- a(ni-5,ni-1) * var(ni-5,:,:) + &
- a(ni-4,ni-1) * var(ni-4,:,:) + &
- a(ni-3,ni-1) * var(ni-3,:,:) + &
- a(ni-2,ni-1) * var(ni-2,:,:) + &
- a(ni-1,ni-1) * var(ni-1,:,:) + &
- a(ni,ni-1) * var(ni,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(ni-4,ni) * var(ni-4,:,:) + &
- a(ni-3,ni) * var(ni-3,:,:) + &
- a(ni-2,ni) * var(ni-2,:,:) + &
- a(ni-1,ni) * var(ni-1,:,:) + &
- a(ni,ni) * var(ni,:,:) ) * idel
-
- ir = ni - 7
+ or = ni - offset(2)
+
+ rhs(or-6,:,:) = rhs(or-6,:,:) + &
+ ( a(nii-10,nii-6) * var(or-10,:,:) + &
+ a(nii-9,nii-6) * var(or-9,:,:) + &
+ a(nii-8,nii-6) * var(or-8,:,:) + &
+ a(nii-7,nii-6) * var(or-7,:,:) + &
+ a(nii-6,nii-6) * var(or-6,:,:) + &
+ a(nii-5,nii-6) * var(or-5,:,:) + &
+ a(nii-4,nii-6) * var(or-4,:,:) + &
+ a(nii-3,nii-6) * var(or-3,:,:) + &
+ a(nii-2,nii-6) * var(or-2,:,:) + &
+ a(nii-1,nii-6) * var(or-1,:,:) + &
+ a(nii,nii-6) * var(or,:,:) ) * idel
+ rhs(or-5,:,:) = rhs(or-5,:,:) + &
+ ( a(nii-10,nii-5) * var(or-10,:,:) + &
+ a(nii-9,nii-5) * var(or-9,:,:) + &
+ a(nii-8,nii-5) * var(or-8,:,:) + &
+ a(nii-7,nii-5) * var(or-7,:,:) + &
+ a(nii-6,nii-5) * var(or-6,:,:) + &
+ a(nii-5,nii-5) * var(or-5,:,:) + &
+ a(nii-4,nii-5) * var(or-4,:,:) + &
+ a(nii-3,nii-5) * var(or-3,:,:) + &
+ a(nii-2,nii-5) * var(or-2,:,:) + &
+ a(nii-1,nii-5) * var(or-1,:,:) + &
+ a(nii,nii-5) * var(or,:,:) ) * idel
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(nii-10,nii-4) * var(or-10,:,:) + &
+ a(nii-9,nii-4) * var(or-9,:,:) + &
+ a(nii-8,nii-4) * var(or-8,:,:) + &
+ a(nii-7,nii-4) * var(or-7,:,:) + &
+ a(nii-6,nii-4) * var(or-6,:,:) + &
+ a(nii-5,nii-4) * var(or-5,:,:) + &
+ a(nii-4,nii-4) * var(or-4,:,:) + &
+ a(nii-3,nii-4) * var(or-3,:,:) + &
+ a(nii-2,nii-4) * var(or-2,:,:) + &
+ a(nii-1,nii-4) * var(or-1,:,:) + &
+ a(nii,nii-4) * var(or,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(nii-10,nii-3) * var(or-10,:,:) + &
+ a(nii-9,nii-3) * var(or-9,:,:) + &
+ a(nii-8,nii-3) * var(or-8,:,:) + &
+ a(nii-7,nii-3) * var(or-7,:,:) + &
+ a(nii-6,nii-3) * var(or-6,:,:) + &
+ a(nii-5,nii-3) * var(or-5,:,:) + &
+ a(nii-4,nii-3) * var(or-4,:,:) + &
+ a(nii-3,nii-3) * var(or-3,:,:) + &
+ a(nii-2,nii-3) * var(or-2,:,:) + &
+ a(nii-1,nii-3) * var(or-1,:,:) + &
+ a(nii,nii-3) * var(or,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(nii-10,nii-2) * var(or-10,:,:) + &
+ a(nii-9,nii-2) * var(or-9,:,:) + &
+ a(nii-8,nii-2) * var(or-8,:,:) + &
+ a(nii-7,nii-2) * var(or-7,:,:) + &
+ a(nii-6,nii-2) * var(or-6,:,:) + &
+ a(nii-5,nii-2) * var(or-5,:,:) + &
+ a(nii-4,nii-2) * var(or-4,:,:) + &
+ a(nii-3,nii-2) * var(or-3,:,:) + &
+ a(nii-2,nii-2) * var(or-2,:,:) + &
+ a(nii-1,nii-2) * var(or-1,:,:) + &
+ a(nii,nii-2) * var(or,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(nii-10,nii-1) * var(or-10,:,:) + &
+ a(nii-9,nii-1) * var(or-9,:,:) + &
+ a(nii-8,nii-1) * var(or-8,:,:) + &
+ a(nii-7,nii-1) * var(or-7,:,:) + &
+ a(nii-6,nii-1) * var(or-6,:,:) + &
+ a(nii-5,nii-1) * var(or-5,:,:) + &
+ a(nii-4,nii-1) * var(or-4,:,:) + &
+ a(nii-3,nii-1) * var(or-3,:,:) + &
+ a(nii-2,nii-1) * var(or-2,:,:) + &
+ a(nii-1,nii-1) * var(or-1,:,:) + &
+ a(nii,nii-1) * var(or,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(nii-4,nii) * var(or-4,:,:) + &
+ a(nii-3,nii) * var(or-3,:,:) + &
+ a(nii-2,nii) * var(or-2,:,:) + &
+ a(nii-1,nii) * var(or-1,:,:) + &
+ a(nii,nii) * var(or,:,:) ) * idel
+
+ ir = or - 7
end if
- do i = il, ir
+ if ( bb(1) /= 0 ) then
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
+ ( a(i-ol-4,i-ol) * var(i-4,:,:) + &
+ a(i-ol-3,i-ol) * var(i-3,:,:) + &
+ a(i-ol-2,i-ol) * var(i-2,:,:) + &
+ a(i-ol-1,i-ol) * var(i-1,:,:) + &
+ a(i-ol,i-ol) * var(i,:,:) + &
+ a(i-ol+1,i-ol) * var(i+1,:,:) + &
+ a(i-ol+2,i-ol) * var(i+2,:,:) + &
+ a(i-ol+3,i-ol) * var(i+3,:,:) + &
+ a(i-ol+4,i-ol) * var(i+4,:,:) ) * idel
+ end do
+
+ else
- rhs(i,:,:) = rhs(i,:,:) + &
- ( a(i-4,i) * var(i-4,:,:) + &
- a(i-3,i) * var(i-3,:,:) + &
- a(i-2,i) * var(i-2,:,:) + &
- a(i-1,i) * var(i-1,:,:) + &
- a(i,i) * var(i,:,:) + &
- a(i+1,i) * var(i+1,:,:) + &
- a(i+2,i) * var(i+2,:,:) + &
- a(i+3,i) * var(i+3,:,:) + &
- a(i+4,i) * var(i+4,:,:) ) * idel
+ do i = il, ir
+ rhs(i,:,:) = rhs(i,:,:) + &
+ ( a(i-4,i) * var(i-4,:,:) + &
+ a(i-3,i) * var(i-3,:,:) + &
+ a(i-2,i) * var(i-2,:,:) + &
+ a(i-1,i) * var(i-1,:,:) + &
+ a(i,i) * var(i,:,:) + &
+ a(i+1,i) * var(i+1,:,:) + &
+ a(i+2,i) * var(i+2,:,:) + &
+ a(i+3,i) * var(i+3,:,:) + &
+ a(i+4,i) * var(i+4,:,:) ) * idel
+ end do
+
+ end if ! bb(1) /= 0
- end do
if ( zero_derivs_y == 0 ) then
if ( .not. savedy(patch) ) then
- allocate ( atmp(nj,nj), d(nj,nj), b(nj,nj), h(nj,nj) )
+ njj = nj
+ if ( bb(3) /= 0 ) then
+ njj = njj - offset(3)
+ endif
+ if ( bb(4) /= 0 ) then
+ njj = njj - offset(4)
+ endif
+
+ allocate ( atmp(njj,njj), d(njj,njj), b(njj,njj), h(njj,njj) )
atmp = zero; d = zero; b = zero; h = zero
- call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2), lbnd(2), delta(2), dfl(2) )
+ call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2)-offset(3)-offset(4), lbnd(2), delta(2), dfl(2) )
call set_hmatrix ( h, bb(3:4) )
@@ -244,7 +280,7 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
atmp = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
- allocate ( ycoeff(patch)%coeff(nj,nj) )
+ allocate ( ycoeff(patch)%coeff(njj,njj) )
ycoeff(patch)%coeff = atmp
@@ -263,55 +299,56 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
jl = 1 + gsize(2)
else
-
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) + &
- a(5,1) * var(:,5,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + &
- a(7,2) * var(:,7,:) + a(8,2) * var(:,8,:) + &
- a(9,2) * var(:,9,:) + a(10,2) * var(:,10,:) + &
- a(11,2) * var(:,11,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) + a(8,3) * var(:,8,:) + &
- a(9,3) * var(:,9,:) + a(10,3) * var(:,10,:) + &
- a(11,3) * var(:,11,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) + &
- a(9,4) * var(:,9,:) + a(10,4) * var(:,10,:) + &
- a(11,4) * var(:,11,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) + &
- a(9,5) * var(:,9,:) + a(10,5) * var(:,10,:) + &
- a(11,5) * var(:,11,:) ) * idel
- rhs(:,6,:) = rhs(:,6,:) + &
- ( a(1,6) * var(:,1,:) + a(2,6) * var(:,2,:) + &
- a(3,6) * var(:,3,:) + a(4,6) * var(:,4,:) + &
- a(5,6) * var(:,5,:) + a(6,6) * var(:,6,:) + &
- a(7,6) * var(:,7,:) + a(8,6) * var(:,8,:) + &
- a(9,6) * var(:,9,:) + a(10,6) * var(:,10,:) + &
- a(11,6) * var(:,11,:) ) * idel
- rhs(:,7,:) = rhs(:,7,:) + &
- ( a(1,7) * var(:,1,:) + a(2,7) * var(:,2,:) + &
- a(3,7) * var(:,3,:) + a(4,7) * var(:,4,:) + &
- a(5,7) * var(:,5,:) + a(6,7) * var(:,6,:) + &
- a(7,7) * var(:,7,:) + a(8,7) * var(:,8,:) + &
- a(9,7) * var(:,9,:) + a(10,7) * var(:,10,:) + &
- a(11,7) * var(:,11,:) ) * idel
-
- jl = 8
+ ol = offset(3)
+
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) + &
+ a(5,1) * var(:,5+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) + &
+ a(7,2) * var(:,7+ol,:) + a(8,2) * var(:,8+ol,:) + &
+ a(9,2) * var(:,9+ol,:) + a(10,2) * var(:,10+ol,:) + &
+ a(11,2) * var(:,11+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) + a(8,3) * var(:,8+ol,:) + &
+ a(9,3) * var(:,9+ol,:) + a(10,3) * var(:,10+ol,:) + &
+ a(11,3) * var(:,11+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) + a(8,4) * var(:,8+ol,:) + &
+ a(9,4) * var(:,9+ol,:) + a(10,4) * var(:,10+ol,:) + &
+ a(11,4) * var(:,11+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) + a(8,5) * var(:,8+ol,:) + &
+ a(9,5) * var(:,9+ol,:) + a(10,5) * var(:,10+ol,:) + &
+ a(11,5) * var(:,11+ol,:) ) * idel
+ rhs(:,6+ol,:) = rhs(:,6+ol,:) + &
+ ( a(1,6) * var(:,1+ol,:) + a(2,6) * var(:,2+ol,:) + &
+ a(3,6) * var(:,3+ol,:) + a(4,6) * var(:,4+ol,:) + &
+ a(5,6) * var(:,5+ol,:) + a(6,6) * var(:,6+ol,:) + &
+ a(7,6) * var(:,7+ol,:) + a(8,6) * var(:,8+ol,:) + &
+ a(9,6) * var(:,9+ol,:) + a(10,6) * var(:,10+ol,:) + &
+ a(11,6) * var(:,11+ol,:) ) * idel
+ rhs(:,7+ol,:) = rhs(:,7+ol,:) + &
+ ( a(1,7) * var(:,1+ol,:) + a(2,7) * var(:,2+ol,:) + &
+ a(3,7) * var(:,3+ol,:) + a(4,7) * var(:,4+ol,:) + &
+ a(5,7) * var(:,5+ol,:) + a(6,7) * var(:,6+ol,:) + &
+ a(7,7) * var(:,7+ol,:) + a(8,7) * var(:,8+ol,:) + &
+ a(9,7) * var(:,9+ol,:) + a(10,7) * var(:,10+ol,:) + &
+ a(11,7) * var(:,11+ol,:) ) * idel
+
+ jl = 8 + ol
end if
@@ -320,102 +357,103 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
jr = nj - gsize(2)
else
-
- rhs(:,nj-6,:) = rhs(:,nj-6,:) + &
- ( a(nj-10,nj-6) * var(:,nj-10,:) + &
- a(nj-9,nj-6) * var(:,nj-9,:) + &
- a(nj-8,nj-6) * var(:,nj-8,:) + &
- a(nj-7,nj-6) * var(:,nj-7,:) + &
- a(nj-6,nj-6) * var(:,nj-6,:) + &
- a(nj-5,nj-6) * var(:,nj-5,:) + &
- a(nj-4,nj-6) * var(:,nj-4,:) + &
- a(nj-3,nj-6) * var(:,nj-3,:) + &
- a(nj-2,nj-6) * var(:,nj-2,:) + &
- a(nj-1,nj-6) * var(:,nj-1,:) + &
- a(nj,nj-6) * var(:,nj,:) ) * idel
- rhs(:,nj-5,:) = rhs(:,nj-5,:) + &
- ( a(nj-10,nj-5) * var(:,nj-10,:) + &
- a(nj-9,nj-5) * var(:,nj-9,:) + &
- a(nj-8,nj-5) * var(:,nj-8,:) + &
- a(nj-7,nj-5) * var(:,nj-7,:) + &
- a(nj-6,nj-5) * var(:,nj-6,:) + &
- a(nj-5,nj-5) * var(:,nj-5,:) + &
- a(nj-4,nj-5) * var(:,nj-4,:) + &
- a(nj-3,nj-5) * var(:,nj-3,:) + &
- a(nj-2,nj-5) * var(:,nj-2,:) + &
- a(nj-1,nj-5) * var(:,nj-1,:) + &
- a(nj,nj-5) * var(:,nj,:) ) * idel
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(nj-10,nj-4) * var(:,nj-10,:) + &
- a(nj-9,nj-4) * var(:,nj-9,:) + &
- a(nj-8,nj-4) * var(:,nj-8,:) + &
- a(nj-7,nj-4) * var(:,nj-7,:) + &
- a(nj-6,nj-4) * var(:,nj-6,:) + &
- a(nj-5,nj-4) * var(:,nj-5,:) + &
- a(nj-4,nj-4) * var(:,nj-4,:) + &
- a(nj-3,nj-4) * var(:,nj-3,:) + &
- a(nj-2,nj-4) * var(:,nj-2,:) + &
- a(nj-1,nj-4) * var(:,nj-1,:) + &
- a(nj,nj-4) * var(:,nj,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(nj-10,nj-3) * var(:,nj-10,:) + &
- a(nj-9,nj-3) * var(:,nj-9,:) + &
- a(nj-8,nj-3) * var(:,nj-8,:) + &
- a(nj-7,nj-3) * var(:,nj-7,:) + &
- a(nj-6,nj-3) * var(:,nj-6,:) + &
- a(nj-5,nj-3) * var(:,nj-5,:) + &
- a(nj-4,nj-3) * var(:,nj-4,:) + &
- a(nj-3,nj-3) * var(:,nj-3,:) + &
- a(nj-2,nj-3) * var(:,nj-2,:) + &
- a(nj-1,nj-3) * var(:,nj-1,:) + &
- a(nj,nj-3) * var(:,nj,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(nj-10,nj-2) * var(:,nj-10,:) + &
- a(nj-9,nj-2) * var(:,nj-9,:) + &
- a(nj-8,nj-2) * var(:,nj-8,:) + &
- a(nj-7,nj-2) * var(:,nj-7,:) + &
- a(nj-6,nj-2) * var(:,nj-6,:) + &
- a(nj-5,nj-2) * var(:,nj-5,:) + &
- a(nj-4,nj-2) * var(:,nj-4,:) + &
- a(nj-3,nj-2) * var(:,nj-3,:) + &
- a(nj-2,nj-2) * var(:,nj-2,:) + &
- a(nj-1,nj-2) * var(:,nj-1,:) + &
- a(nj,nj-2) * var(:,nj,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(nj-10,nj-1) * var(:,nj-10,:) + &
- a(nj-9,nj-1) * var(:,nj-9,:) + &
- a(nj-8,nj-1) * var(:,nj-8,:) + &
- a(nj-7,nj-1) * var(:,nj-7,:) + &
- a(nj-6,nj-1) * var(:,nj-6,:) + &
- a(nj-5,nj-1) * var(:,nj-5,:) + &
- a(nj-4,nj-1) * var(:,nj-4,:) + &
- a(nj-3,nj-1) * var(:,nj-3,:) + &
- a(nj-2,nj-1) * var(:,nj-2,:) + &
- a(nj-1,nj-1) * var(:,nj-1,:) + &
- a(nj,nj-1) * var(:,nj,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(nj-4,nj) * var(:,nj-4,:) + &
- a(nj-3,nj) * var(:,nj-3,:) + &
- a(nj-2,nj) * var(:,nj-2,:) + &
- a(nj-1,nj) * var(:,nj-1,:) + &
- a(nj,nj) * var(:,nj,:) ) * idel
-
- jr = nj - 7
+ or = nj - offset(4)
+
+ rhs(:,or-6,:) = rhs(:,or-6,:) + &
+ ( a(njj-10,njj-6) * var(:,or-10,:) + &
+ a(njj-9,njj-6) * var(:,or-9,:) + &
+ a(njj-8,njj-6) * var(:,or-8,:) + &
+ a(njj-7,njj-6) * var(:,or-7,:) + &
+ a(njj-6,njj-6) * var(:,or-6,:) + &
+ a(njj-5,njj-6) * var(:,or-5,:) + &
+ a(njj-4,njj-6) * var(:,or-4,:) + &
+ a(njj-3,njj-6) * var(:,or-3,:) + &
+ a(njj-2,njj-6) * var(:,or-2,:) + &
+ a(njj-1,njj-6) * var(:,or-1,:) + &
+ a(njj,njj-6) * var(:,or,:) ) * idel
+ rhs(:,or-5,:) = rhs(:,or-5,:) + &
+ ( a(njj-10,njj-5) * var(:,or-10,:) + &
+ a(njj-9,njj-5) * var(:,or-9,:) + &
+ a(njj-8,njj-5) * var(:,or-8,:) + &
+ a(njj-7,njj-5) * var(:,or-7,:) + &
+ a(njj-6,njj-5) * var(:,or-6,:) + &
+ a(njj-5,njj-5) * var(:,or-5,:) + &
+ a(njj-4,njj-5) * var(:,or-4,:) + &
+ a(njj-3,njj-5) * var(:,or-3,:) + &
+ a(njj-2,njj-5) * var(:,or-2,:) + &
+ a(njj-1,njj-5) * var(:,or-1,:) + &
+ a(njj,njj-5) * var(:,or,:) ) * idel
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(njj-10,njj-4) * var(:,or-10,:) + &
+ a(njj-9,njj-4) * var(:,or-9,:) + &
+ a(njj-8,njj-4) * var(:,or-8,:) + &
+ a(njj-7,njj-4) * var(:,or-7,:) + &
+ a(njj-6,njj-4) * var(:,or-6,:) + &
+ a(njj-5,njj-4) * var(:,or-5,:) + &
+ a(njj-4,njj-4) * var(:,or-4,:) + &
+ a(njj-3,njj-4) * var(:,or-3,:) + &
+ a(njj-2,njj-4) * var(:,or-2,:) + &
+ a(njj-1,njj-4) * var(:,or-1,:) + &
+ a(njj,njj-4) * var(:,or,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(njj-10,njj-3) * var(:,or-10,:) + &
+ a(njj-9,njj-3) * var(:,or-9,:) + &
+ a(njj-8,njj-3) * var(:,or-8,:) + &
+ a(njj-7,njj-3) * var(:,or-7,:) + &
+ a(njj-6,njj-3) * var(:,or-6,:) + &
+ a(njj-5,njj-3) * var(:,or-5,:) + &
+ a(njj-4,njj-3) * var(:,or-4,:) + &
+ a(njj-3,njj-3) * var(:,or-3,:) + &
+ a(njj-2,njj-3) * var(:,or-2,:) + &
+ a(njj-1,njj-3) * var(:,or-1,:) + &
+ a(njj,njj-3) * var(:,or,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(njj-10,njj-2) * var(:,or-10,:) + &
+ a(njj-9,njj-2) * var(:,or-9,:) + &
+ a(njj-8,njj-2) * var(:,or-8,:) + &
+ a(njj-7,njj-2) * var(:,or-7,:) + &
+ a(njj-6,njj-2) * var(:,or-6,:) + &
+ a(njj-5,njj-2) * var(:,or-5,:) + &
+ a(njj-4,njj-2) * var(:,or-4,:) + &
+ a(njj-3,njj-2) * var(:,or-3,:) + &
+ a(njj-2,njj-2) * var(:,or-2,:) + &
+ a(njj-1,njj-2) * var(:,or-1,:) + &
+ a(njj,njj-2) * var(:,or,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(njj-10,njj-1) * var(:,or-10,:) + &
+ a(njj-9,njj-1) * var(:,or-9,:) + &
+ a(njj-8,njj-1) * var(:,or-8,:) + &
+ a(njj-7,njj-1) * var(:,or-7,:) + &
+ a(njj-6,njj-1) * var(:,or-6,:) + &
+ a(njj-5,njj-1) * var(:,or-5,:) + &
+ a(njj-4,njj-1) * var(:,or-4,:) + &
+ a(njj-3,njj-1) * var(:,or-3,:) + &
+ a(njj-2,njj-1) * var(:,or-2,:) + &
+ a(njj-1,njj-1) * var(:,or-1,:) + &
+ a(njj,njj-1) * var(:,or,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(njj-4,njj) * var(:,or-4,:) + &
+ a(njj-3,njj) * var(:,or-3,:) + &
+ a(njj-2,njj) * var(:,or-2,:) + &
+ a(njj-1,njj) * var(:,or-1,:) + &
+ a(njj,njj) * var(:,or,:) ) * idel
+
+ jr = or - 7
end if
do j = jl, jr
rhs(:,j,:) = rhs(:,j,:) + &
- ( a(j-4,j) * var(:,j-4,:) + &
- a(j-3,j) * var(:,j-3,:) + &
- a(j-2,j) * var(:,j-2,:) + &
- a(j-1,j) * var(:,j-1,:) + &
- a(j,j) * var(:,j,:) + &
- a(j+1,j) * var(:,j+1,:) + &
- a(j+2,j) * var(:,j+2,:) + &
- a(j+3,j) * var(:,j+3,:) + &
- a(j+4,j) * var(:,j+4,:) ) * idel
+ ( a(j-ol-4,j-ol) * var(:,j-4,:) + &
+ a(j-ol-3,j-ol) * var(:,j-3,:) + &
+ a(j-ol-2,j-ol) * var(:,j-2,:) + &
+ a(j-ol-1,j-ol) * var(:,j-1,:) + &
+ a(j-ol,j-ol) * var(:,j,:) + &
+ a(j-ol+1,j-ol) * var(:,j+1,:) + &
+ a(j-ol+2,j-ol) * var(:,j+2,:) + &
+ a(j-ol+3,j-ol) * var(:,j+3,:) + &
+ a(j-ol+4,j-ol) * var(:,j+4,:) ) * idel
end do
@@ -423,10 +461,17 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
if ( zero_derivs_z == 0 ) then
if ( .not. savedz(patch) ) then
- allocate ( atmp(nk,nk), d(nk,nk), b(nk,nk), h(nk,nk) )
+ nkk = nk
+ if ( bb(5) /= 0 ) then
+ nkk = nkk - offset(5)
+ endif
+ if ( bb(6) /= 0 ) then
+ nkk = nkk - offset(6)
+ endif
+ allocate ( atmp(nkk,nkk), d(nkk,nkk), b(nkk,nkk), h(nkk,nkk) )
atmp = zero; d = zero; b = zero; h = zero
- call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3), lbnd(3), delta(3), dfl(3) )
+ call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3)-offset(5)-offset(6), lbnd(3), delta(3), dfl(3) )
call set_hmatrix ( h, bb(5:6) )
@@ -434,7 +479,7 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
atmp = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
- allocate ( zcoeff(patch)%coeff(nk,nk) )
+ allocate ( zcoeff(patch)%coeff(nkk,nkk) )
zcoeff(patch)%coeff = atmp
@@ -453,55 +498,56 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
kl = 1 + gsize(3)
else
-
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) + &
- a(5,1) * var(:,:,5) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + &
- a(7,2) * var(:,:,7) + a(8,2) * var(:,:,8) + &
- a(9,2) * var(:,:,9) + a(10,2) * var(:,:,10) + &
- a(11,2) * var(:,:,11) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) + a(8,3) * var(:,:,8) + &
- a(9,3) * var(:,:,9) + a(10,3) * var(:,:,10) + &
- a(11,3) * var(:,:,11) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) + &
- a(9,4) * var(:,:,9) + a(10,4) * var(:,:,10) + &
- a(11,4) * var(:,:,11) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) + &
- a(9,5) * var(:,:,9) + a(10,5) * var(:,:,10) + &
- a(11,5) * var(:,:,11) ) * idel
- rhs(:,:,6) = rhs(:,:,6) + &
- ( a(1,6) * var(:,:,1) + a(2,6) * var(:,:,2) + &
- a(3,6) * var(:,:,3) + a(4,6) * var(:,:,4) + &
- a(5,6) * var(:,:,5) + a(6,6) * var(:,:,6) + &
- a(7,6) * var(:,:,7) + a(8,6) * var(:,:,8) + &
- a(9,6) * var(:,:,9) + a(10,6) * var(:,:,10) + &
- a(11,6) * var(:,:,11) ) * idel
- rhs(:,:,7) = rhs(:,:,7) + &
- ( a(1,7) * var(:,:,1) + a(2,7) * var(:,:,2) + &
- a(3,7) * var(:,:,3) + a(4,7) * var(:,:,4) + &
- a(5,7) * var(:,:,5) + a(6,7) * var(:,:,6) + &
- a(7,7) * var(:,:,7) + a(8,7) * var(:,:,8) + &
- a(9,7) * var(:,:,9) + a(10,7) * var(:,:,10) + &
- a(11,7) * var(:,:,11) ) * idel
-
- kl = 8
+ ol = offset(5)
+
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) + &
+ a(5,1) * var(:,:,5+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) + &
+ a(7,2) * var(:,:,7+ol) + a(8,2) * var(:,:,8+ol) + &
+ a(9,2) * var(:,:,9+ol) + a(10,2) * var(:,:,10+ol) + &
+ a(11,2) * var(:,:,11+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) + a(8,3) * var(:,:,8+ol) + &
+ a(9,3) * var(:,:,9+ol) + a(10,3) * var(:,:,10+ol) + &
+ a(11,3) * var(:,:,11+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) + a(8,4) * var(:,:,8+ol) + &
+ a(9,4) * var(:,:,9+ol) + a(10,4) * var(:,:,10+ol) + &
+ a(11,4) * var(:,:,11+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) + a(8,5) * var(:,:,8+ol) + &
+ a(9,5) * var(:,:,9+ol) + a(10,5) * var(:,:,10+ol) + &
+ a(11,5) * var(:,:,11+ol) ) * idel
+ rhs(:,:,6+ol) = rhs(:,:,6+ol) + &
+ ( a(1,6) * var(:,:,1+ol) + a(2,6) * var(:,:,2+ol) + &
+ a(3,6) * var(:,:,3+ol) + a(4,6) * var(:,:,4+ol) + &
+ a(5,6) * var(:,:,5+ol) + a(6,6) * var(:,:,6+ol) + &
+ a(7,6) * var(:,:,7+ol) + a(8,6) * var(:,:,8+ol) + &
+ a(9,6) * var(:,:,9+ol) + a(10,6) * var(:,:,10+ol) + &
+ a(11,6) * var(:,:,11+ol) ) * idel
+ rhs(:,:,7+ol) = rhs(:,:,7+ol) + &
+ ( a(1,7) * var(:,:,1+ol) + a(2,7) * var(:,:,2+ol) + &
+ a(3,7) * var(:,:,3+ol) + a(4,7) * var(:,:,4+ol) + &
+ a(5,7) * var(:,:,5+ol) + a(6,7) * var(:,:,6+ol) + &
+ a(7,7) * var(:,:,7+ol) + a(8,7) * var(:,:,8+ol) + &
+ a(9,7) * var(:,:,9+ol) + a(10,7) * var(:,:,10+ol) + &
+ a(11,7) * var(:,:,11+ol) ) * idel
+
+ kl = 8 + ol
end if
@@ -510,93 +556,106 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
kr = nk - gsize(3)
else
-
- rhs(:,:,nk-6) = rhs(:,:,nk-6) + &
- ( a(nk-10,nk-6) * var(:,:,nk-10) + &
- a(nk-9,nk-6) * var(:,:,nk-9) + &
- a(nk-8,nk-6) * var(:,:,nk-8) + &
- a(nk-7,nk-6) * var(:,:,nk-7) + &
- a(nk-6,nk-6) * var(:,:,nk-6) + &
- a(nk-5,nk-6) * var(:,:,nk-5) + &
- a(nk-4,nk-6) * var(:,:,nk-4) + &
- a(nk-3,nk-6) * var(:,:,nk-3) + &
- a(nk-2,nk-6) * var(:,:,nk-2) + &
- a(nk-1,nk-6) * var(:,:,nk-1) + &
- a(nk,nk-6) * var(:,:,nk) ) * idel
- rhs(:,:,nk-5) = rhs(:,:,nk-5) + &
- ( a(nk-10,nk-5) * var(:,:,nk-10) + &
- a(nk-9,nk-5) * var(:,:,nk-9) + &
- a(nk-8,nk-5) * var(:,:,nk-8) + &
- a(nk-7,nk-5) * var(:,:,nk-7) + &
- a(nk-6,nk-5) * var(:,:,nk-6) + &
- a(nk-5,nk-5) * var(:,:,nk-5) + &
- a(nk-4,nk-5) * var(:,:,nk-4) + &
- a(nk-3,nk-5) * var(:,:,nk-3) + &
- a(nk-2,nk-5) * var(:,:,nk-2) + &
- a(nk-1,nk-5) * var(:,:,nk-1) + &
- a(nk,nk-5) * var(:,:,nk) ) * idel
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(nk-10,nk-4) * var(:,:,nk-10) + &
- a(nk-9,nk-4) * var(:,:,nk-9) + &
- a(nk-8,nk-4) * var(:,:,nk-8) + &
- a(nk-7,nk-4) * var(:,:,nk-7) + &
- a(nk-6,nk-4) * var(:,:,nk-6) + &
- a(nk-5,nk-4) * var(:,:,nk-5) + &
- a(nk-4,nk-4) * var(:,:,nk-4) + &
- a(nk-3,nk-4) * var(:,:,nk-3) + &
- a(nk-2,nk-4) * var(:,:,nk-2) + &
- a(nk-1,nk-4) * var(:,:,nk-1) + &
- a(nk,nk-4) * var(:,:,nk) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(nk-10,nk-3) * var(:,:,nk-10) + &
- a(nk-9,nk-3) * var(:,:,nk-9) + &
- a(nk-8,nk-3) * var(:,:,nk-8) + &
- a(nk-7,nk-3) * var(:,:,nk-7) + &
- a(nk-6,nk-3) * var(:,:,nk-6) + &
- a(nk-5,nk-3) * var(:,:,nk-5) + &
- a(nk-4,nk-3) * var(:,:,nk-4) + &
- a(nk-3,nk-3) * var(:,:,nk-3) + &
- a(nk-2,nk-3) * var(:,:,nk-2) + &
- a(nk-1,nk-3) * var(:,:,nk-1) + &
- a(nk,nk-3) * var(:,:,nk) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(nk-10,nk-2) * var(:,:,nk-10) + &
- a(nk-9,nk-2) * var(:,:,nk-9) + &
- a(nk-8,nk-2) * var(:,:,nk-8) + &
- a(nk-7,nk-2) * var(:,:,nk-7) + &
- a(nk-6,nk-2) * var(:,:,nk-6) + &
- a(nk-5,nk-2) * var(:,:,nk-5) + &
- a(nk-4,nk-2) * var(:,:,nk-4) + &
- a(nk-3,nk-2) * var(:,:,nk-3) + &
- a(nk-2,nk-2) * var(:,:,nk-2) + &
- a(nk-1,nk-2) * var(:,:,nk-1) + &
- a(nk,nk-2) * var(:,:,nk) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(nk-10,nk-1) * var(:,:,nk-10) + &
- a(nk-9,nk-1) * var(:,:,nk-9) + &
- a(nk-8,nk-1) * var(:,:,nk-8) + &
- a(nk-7,nk-1) * var(:,:,nk-7) + &
- a(nk-6,nk-1) * var(:,:,nk-6) + &
- a(nk-5,nk-1) * var(:,:,nk-5) + &
- a(nk-4,nk-1) * var(:,:,nk-4) + &
- a(nk-3,nk-1) * var(:,:,nk-3) + &
- a(nk-2,nk-1) * var(:,:,nk-2) + &
- a(nk-1,nk-1) * var(:,:,nk-1) + &
- a(nk,nk-1) * var(:,:,nk) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(nk-4,nk) * var(:,:,nk-4) + &
- a(nk-3,nk) * var(:,:,nk-3) + &
- a(nk-2,nk) * var(:,:,nk-2) + &
- a(nk-1,nk) * var(:,:,nk-1) + &
- a(nk,nk) * var(:,:,nk) ) * idel
-
- kr = nk - 7
+ or = nk - offset(6)
+
+ rhs(:,:,or-6) = rhs(:,:,or-6) + &
+ ( a(nkk-10,nkk-6) * var(:,:,or-10) + &
+ a(nkk-9,nkk-6) * var(:,:,or-9) + &
+ a(nkk-8,nkk-6) * var(:,:,or-8) + &
+ a(nkk-7,nkk-6) * var(:,:,or-7) + &
+ a(nkk-6,nkk-6) * var(:,:,or-6) + &
+ a(nkk-5,nkk-6) * var(:,:,or-5) + &
+ a(nkk-4,nkk-6) * var(:,:,or-4) + &
+ a(nkk-3,nkk-6) * var(:,:,or-3) + &
+ a(nkk-2,nkk-6) * var(:,:,or-2) + &
+ a(nkk-1,nkk-6) * var(:,:,or-1) + &
+ a(nkk,nkk-6) * var(:,:,or) ) * idel
+ rhs(:,:,or-5) = rhs(:,:,or-5) + &
+ ( a(nkk-10,nkk-5) * var(:,:,or-10) + &
+ a(nkk-9,nkk-5) * var(:,:,or-9) + &
+ a(nkk-8,nkk-5) * var(:,:,or-8) + &
+ a(nkk-7,nkk-5) * var(:,:,or-7) + &
+ a(nkk-6,nkk-5) * var(:,:,or-6) + &
+ a(nkk-5,nkk-5) * var(:,:,or-5) + &
+ a(nkk-4,nkk-5) * var(:,:,or-4) + &
+ a(nkk-3,nkk-5) * var(:,:,or-3) + &
+ a(nkk-2,nkk-5) * var(:,:,or-2) + &
+ a(nkk-1,nkk-5) * var(:,:,or-1) + &
+ a(nkk,nkk-5) * var(:,:,or) ) * idel
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(nkk-10,nkk-4) * var(:,:,or-10) + &
+ a(nkk-9,nkk-4) * var(:,:,or-9) + &
+ a(nkk-8,nkk-4) * var(:,:,or-8) + &
+ a(nkk-7,nkk-4) * var(:,:,or-7) + &
+ a(nkk-6,nkk-4) * var(:,:,or-6) + &
+ a(nkk-5,nkk-4) * var(:,:,or-5) + &
+ a(nkk-4,nkk-4) * var(:,:,or-4) + &
+ a(nkk-3,nkk-4) * var(:,:,or-3) + &
+ a(nkk-2,nkk-4) * var(:,:,or-2) + &
+ a(nkk-1,nkk-4) * var(:,:,or-1) + &
+ a(nkk,nkk-4) * var(:,:,or) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(nkk-10,nkk-3) * var(:,:,or-10) + &
+ a(nkk-9,nkk-3) * var(:,:,or-9) + &
+ a(nkk-8,nkk-3) * var(:,:,or-8) + &
+ a(nkk-7,nkk-3) * var(:,:,or-7) + &
+ a(nkk-6,nkk-3) * var(:,:,or-6) + &
+ a(nkk-5,nkk-3) * var(:,:,or-5) + &
+ a(nkk-4,nkk-3) * var(:,:,or-4) + &
+ a(nkk-3,nkk-3) * var(:,:,or-3) + &
+ a(nkk-2,nkk-3) * var(:,:,or-2) + &
+ a(nkk-1,nkk-3) * var(:,:,or-1) + &
+ a(nkk,nkk-3) * var(:,:,or) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(nkk-10,nkk-2) * var(:,:,or-10) + &
+ a(nkk-9,nkk-2) * var(:,:,or-9) + &
+ a(nkk-8,nkk-2) * var(:,:,or-8) + &
+ a(nkk-7,nkk-2) * var(:,:,or-7) + &
+ a(nkk-6,nkk-2) * var(:,:,or-6) + &
+ a(nkk-5,nkk-2) * var(:,:,or-5) + &
+ a(nkk-4,nkk-2) * var(:,:,or-4) + &
+ a(nkk-3,nkk-2) * var(:,:,or-3) + &
+ a(nkk-2,nkk-2) * var(:,:,or-2) + &
+ a(nkk-1,nkk-2) * var(:,:,or-1) + &
+ a(nkk,nkk-2) * var(:,:,or) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(nkk-10,nkk-1) * var(:,:,or-10) + &
+ a(nkk-9,nkk-1) * var(:,:,or-9) + &
+ a(nkk-8,nkk-1) * var(:,:,or-8) + &
+ a(nkk-7,nkk-1) * var(:,:,or-7) + &
+ a(nkk-6,nkk-1) * var(:,:,or-6) + &
+ a(nkk-5,nkk-1) * var(:,:,or-5) + &
+ a(nkk-4,nkk-1) * var(:,:,or-4) + &
+ a(nkk-3,nkk-1) * var(:,:,or-3) + &
+ a(nkk-2,nkk-1) * var(:,:,or-2) + &
+ a(nkk-1,nkk-1) * var(:,:,or-1) + &
+ a(nkk,nkk-1) * var(:,:,or) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(nkk-4,nkk) * var(:,:,or-4) + &
+ a(nkk-3,nkk) * var(:,:,or-3) + &
+ a(nkk-2,nkk) * var(:,:,or-2) + &
+ a(nkk-1,nkk) * var(:,:,or-1) + &
+ a(nkk,nkk) * var(:,:,or) ) * idel
+
+ kr = or - 7
end if
do k = kl, kr
- rhs(:,:,k) = rhs(:,:,k) + &
+ if ( bb(5) /= 0) then
+ rhs(:,:,k) = rhs(:,:,k) + &
+ ( a(k-ol-4,k-ol) * var(:,:,k-4) + &
+ a(k-ol-3,k-ol) * var(:,:,k-3) + &
+ a(k-ol-2,k-ol) * var(:,:,k-2) + &
+ a(k-ol-1,k-ol) * var(:,:,k-1) + &
+ a(k-ol,k-ol) * var(:,:,k) + &
+ a(k-ol+1,k-ol) * var(:,:,k+1) + &
+ a(k-ol+2,k-ol) * var(:,:,k+2) + &
+ a(k-ol+3,k-ol) * var(:,:,k+3) + &
+ a(k-ol+4,k-ol) * var(:,:,k+4) ) * idel
+ else
+ rhs(:,:,k) = rhs(:,:,k) + &
( a(k-4,k) * var(:,:,k-4) + &
a(k-3,k) * var(:,:,k-3) + &
a(k-2,k) * var(:,:,k-2) + &
@@ -606,6 +665,7 @@ subroutine dissipation_6_5_alt (var, lsh, gsh, lbnd, bb, gsize, &
a(k+2,k) * var(:,:,k+2) + &
a(k+3,k) * var(:,:,k+3) + &
a(k+4,k) * var(:,:,k+4) ) * idel
+ endif
end do
diff --git a/src/Dissipation_8_4.F90 b/src/Dissipation_8_4.F90
index c81432b..47238f7 100644
--- a/src/Dissipation_8_4.F90
+++ b/src/Dissipation_8_4.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(12,8) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -35,98 +36,100 @@ subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) + &
- a(5,1) * var(5,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) + &
- a(9,5) * var(9,:,:) ) * idel
- rhs(6,:,:) = rhs(6,:,:) + &
- ( a(2,6) * var(2,:,:) + a(3,6) * var(3,:,:) + &
- a(4,6) * var(4,:,:) + a(5,6) * var(5,:,:) + &
- a(6,6) * var(6,:,:) + a(7,6) * var(7,:,:) + &
- a(8,6) * var(8,:,:) + a(9,6) * var(9,:,:) + &
- a(10,6) * var(10,:,:) ) * idel
- rhs(7,:,:) = rhs(7,:,:) + &
- ( a(3,7) * var(3,:,:) + a(4,7) * var(4,:,:) + &
- a(5,7) * var(5,:,:) + a(6,7) * var(6,:,:) + &
- a(7,7) * var(7,:,:) + a(8,7) * var(8,:,:) + &
- a(9,7) * var(9,:,:) + a(10,7) * var(10,:,:) + &
- a(11,7) * var(11,:,:) ) * idel
- rhs(8,:,:) = rhs(8,:,:) + &
- ( a(4,8) * var(4,:,:) + a(5,8) * var(5,:,:) + &
- a(6,8) * var(6,:,:) + a(7,8) * var(7,:,:) + &
- a(8,8) * var(8,:,:) + a(9,8) * var(9,:,:) + &
- a(10,8) * var(10,:,:) + a(11,8) * var(11,:,:) + &
- a(12,8) * var(12,:,:) ) * idel
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) + &
+ a(5,1) * var(5+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) + a(8,4) * var(8+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) + a(8,5) * var(8+ol,:,:) + &
+ a(9,5) * var(9+ol,:,:) ) * idel
+ rhs(6+ol,:,:) = rhs(6+ol,:,:) + &
+ ( a(2,6) * var(2+ol,:,:) + a(3,6) * var(3+ol,:,:) + &
+ a(4,6) * var(4+ol,:,:) + a(5,6) * var(5+ol,:,:) + &
+ a(6,6) * var(6+ol,:,:) + a(7,6) * var(7+ol,:,:) + &
+ a(8,6) * var(8+ol,:,:) + a(9,6) * var(9+ol,:,:) + &
+ a(10,6) * var(10+ol,:,:) ) * idel
+ rhs(7+ol,:,:) = rhs(7+ol,:,:) + &
+ ( a(3,7) * var(3+ol,:,:) + a(4,7) * var(4+ol,:,:) + &
+ a(5,7) * var(5+ol,:,:) + a(6,7) * var(6+ol,:,:) + &
+ a(7,7) * var(7+ol,:,:) + a(8,7) * var(8+ol,:,:) + &
+ a(9,7) * var(9+ol,:,:) + a(10,7) * var(10+ol,:,:) + &
+ a(11,7) * var(11+ol,:,:) ) * idel
+ rhs(8+ol,:,:) = rhs(8+ol,:,:) + &
+ ( a(4,8) * var(4+ol,:,:) + a(5,8) * var(5+ol,:,:) + &
+ a(6,8) * var(6+ol,:,:) + a(7,8) * var(7+ol,:,:) + &
+ a(8,8) * var(8+ol,:,:) + a(9,8) * var(9+ol,:,:) + &
+ a(10,8) * var(10+ol,:,:) + a(11,8) * var(11+ol,:,:) + &
+ a(12,8) * var(12+ol,:,:) ) * idel
- il = 9
+ il = 9 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-7,:,:) = rhs(ni-7,:,:) + &
- ( a(4,8) * var(ni-3,:,:) + a(5,8) * var(ni-4,:,:) + &
- a(6,8) * var(ni-5,:,:) + a(7,8) * var(ni-6,:,:) + &
- a(8,8) * var(ni-7,:,:) + a(9,8) * var(ni-8,:,:) + &
- a(10,8) * var(ni-9,:,:) + a(11,8) * var(ni-10,:,:) + &
- a(12,8) * var(ni-11,:,:) ) * idel
- rhs(ni-6,:,:) = rhs(ni-6,:,:) + &
- ( a(3,7) * var(ni-2,:,:) + a(4,7) * var(ni-3,:,:) + &
- a(5,7) * var(ni-4,:,:) + a(6,7) * var(ni-5,:,:) + &
- a(7,7) * var(ni-6,:,:) + a(8,7) * var(ni-7,:,:) + &
- a(9,7) * var(ni-8,:,:) + a(10,7) * var(ni-9,:,:) + &
- a(11,7) * var(ni-10,:,:) ) * idel
- rhs(ni-5,:,:) = rhs(ni-5,:,:) + &
- ( a(2,6) * var(ni-1,:,:) + a(3,6) * var(ni-2,:,:) + &
- a(4,6) * var(ni-3,:,:) + a(5,6) * var(ni-4,:,:) + &
- a(6,6) * var(ni-5,:,:) + a(7,6) * var(ni-6,:,:) + &
- a(8,6) * var(ni-7,:,:) + a(9,6) * var(ni-8,:,:) + &
- a(10,6) * var(ni-9,:,:) ) * idel
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(1,5) * var(ni,:,:) + a(2,5) * var(ni-1,:,:) + &
- a(3,5) * var(ni-2,:,:) + a(4,5) * var(ni-3,:,:) + &
- a(5,5) * var(ni-4,:,:) + a(6,5) * var(ni-5,:,:) + &
- a(7,5) * var(ni-6,:,:) + a(8,5) * var(ni-7,:,:) + &
- a(9,5) * var(ni-8,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(1,4) * var(ni,:,:) + a(2,4) * var(ni-1,:,:) + &
- a(3,4) * var(ni-2,:,:) + a(4,4) * var(ni-3,:,:) + &
- a(5,4) * var(ni-4,:,:) + a(6,4) * var(ni-5,:,:) + &
- a(7,4) * var(ni-6,:,:) + a(8,4) * var(ni-7,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + &
- a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + &
- a(5,3) * var(ni-4,:,:) + a(6,3) * var(ni-5,:,:) + &
- a(7,3) * var(ni-6,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) + &
- a(5,2) * var(ni-4,:,:) + a(6,2) * var(ni-5,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) + a(4,1) * var(ni-3,:,:) + &
- a(5,1) * var(ni-4,:,:) ) * idel
+ or = ni - offset(2)
+ rhs(or-7,:,:) = rhs(or-7,:,:) + &
+ ( a(4,8) * var(or-3,:,:) + a(5,8) * var(or-4,:,:) + &
+ a(6,8) * var(or-5,:,:) + a(7,8) * var(or-6,:,:) + &
+ a(8,8) * var(or-7,:,:) + a(9,8) * var(or-8,:,:) + &
+ a(10,8) * var(or-9,:,:) + a(11,8) * var(or-10,:,:) + &
+ a(12,8) * var(or-11,:,:) ) * idel
+ rhs(or-6,:,:) = rhs(or-6,:,:) + &
+ ( a(3,7) * var(or-2,:,:) + a(4,7) * var(or-3,:,:) + &
+ a(5,7) * var(or-4,:,:) + a(6,7) * var(or-5,:,:) + &
+ a(7,7) * var(or-6,:,:) + a(8,7) * var(or-7,:,:) + &
+ a(9,7) * var(or-8,:,:) + a(10,7) * var(or-9,:,:) + &
+ a(11,7) * var(or-10,:,:) ) * idel
+ rhs(or-5,:,:) = rhs(or-5,:,:) + &
+ ( a(2,6) * var(or-1,:,:) + a(3,6) * var(or-2,:,:) + &
+ a(4,6) * var(or-3,:,:) + a(5,6) * var(or-4,:,:) + &
+ a(6,6) * var(or-5,:,:) + a(7,6) * var(or-6,:,:) + &
+ a(8,6) * var(or-7,:,:) + a(9,6) * var(or-8,:,:) + &
+ a(10,6) * var(or-9,:,:) ) * idel
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(1,5) * var(or,:,:) + a(2,5) * var(or-1,:,:) + &
+ a(3,5) * var(or-2,:,:) + a(4,5) * var(or-3,:,:) + &
+ a(5,5) * var(or-4,:,:) + a(6,5) * var(or-5,:,:) + &
+ a(7,5) * var(or-6,:,:) + a(8,5) * var(or-7,:,:) + &
+ a(9,5) * var(or-8,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(1,4) * var(or,:,:) + a(2,4) * var(or-1,:,:) + &
+ a(3,4) * var(or-2,:,:) + a(4,4) * var(or-3,:,:) + &
+ a(5,4) * var(or-4,:,:) + a(6,4) * var(or-5,:,:) + &
+ a(7,4) * var(or-6,:,:) + a(8,4) * var(or-7,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
+ a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
+ a(5,3) * var(or-4,:,:) + a(6,3) * var(or-5,:,:) + &
+ a(7,3) * var(or-6,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) + &
+ a(5,2) * var(or-4,:,:) + a(6,2) * var(or-5,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) + a(4,1) * var(or-3,:,:) + &
+ a(5,1) * var(or-4,:,:) ) * idel
- ir = ni - 8
+ ir = or - 8
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -70.0_wp * var(il:ir,:,:) + &
@@ -151,98 +154,100 @@ subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) + &
- a(5,1) * var(:,5,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) + &
- a(9,5) * var(:,9,:) ) * idel
- rhs(:,6,:) = rhs(:,6,:) + &
- ( a(2,6) * var(:,2,:) + a(3,6) * var(:,3,:) + &
- a(4,6) * var(:,4,:) + a(5,6) * var(:,5,:) + &
- a(6,6) * var(:,6,:) + a(7,6) * var(:,7,:) + &
- a(8,6) * var(:,8,:) + a(9,6) * var(:,9,:) + &
- a(10,6) * var(:,10,:) ) * idel
- rhs(:,7,:) = rhs(:,7,:) + &
- ( a(3,7) * var(:,3,:) + a(4,7) * var(:,4,:) + &
- a(5,7) * var(:,5,:) + a(6,7) * var(:,6,:) + &
- a(7,7) * var(:,7,:) + a(8,7) * var(:,8,:) + &
- a(9,7) * var(:,9,:) + a(10,7) * var(:,10,:) + &
- a(11,7) * var(:,11,:) ) * idel
- rhs(:,8,:) = rhs(:,8,:) + &
- ( a(4,8) * var(:,4,:) + a(5,8) * var(:,5,:) + &
- a(6,8) * var(:,6,:) + a(7,8) * var(:,7,:) + &
- a(8,8) * var(:,8,:) + a(9,8) * var(:,9,:) + &
- a(10,8) * var(:,10,:) + a(11,8) * var(:,11,:) + &
- a(12,8) * var(:,12,:) ) * idel
+ ol = offset(3)
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) + &
+ a(5,1) * var(:,5+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) + a(8,4) * var(:,8+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) + a(8,5) * var(:,8+ol,:) + &
+ a(9,5) * var(:,9+ol,:) ) * idel
+ rhs(:,6+ol,:) = rhs(:,6+ol,:) + &
+ ( a(2,6) * var(:,2+ol,:) + a(3,6) * var(:,3+ol,:) + &
+ a(4,6) * var(:,4+ol,:) + a(5,6) * var(:,5+ol,:) + &
+ a(6,6) * var(:,6+ol,:) + a(7,6) * var(:,7+ol,:) + &
+ a(8,6) * var(:,8+ol,:) + a(9,6) * var(:,9+ol,:) + &
+ a(10,6) * var(:,10+ol,:) ) * idel
+ rhs(:,7+ol,:) = rhs(:,7+ol,:) + &
+ ( a(3,7) * var(:,3+ol,:) + a(4,7) * var(:,4+ol,:) + &
+ a(5,7) * var(:,5+ol,:) + a(6,7) * var(:,6+ol,:) + &
+ a(7,7) * var(:,7+ol,:) + a(8,7) * var(:,8+ol,:) + &
+ a(9,7) * var(:,9+ol,:) + a(10,7) * var(:,10+ol,:) + &
+ a(11,7) * var(:,11+ol,:) ) * idel
+ rhs(:,8+ol,:) = rhs(:,8+ol,:) + &
+ ( a(4,8) * var(:,4+ol,:) + a(5,8) * var(:,5+ol,:) + &
+ a(6,8) * var(:,6+ol,:) + a(7,8) * var(:,7+ol,:) + &
+ a(8,8) * var(:,8+ol,:) + a(9,8) * var(:,9+ol,:) + &
+ a(10,8) * var(:,10+ol,:) + a(11,8) * var(:,11+ol,:) + &
+ a(12,8) * var(:,12+ol,:) ) * idel
- jl = 9
+ jl = 9 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-7,:) = rhs(:,nj-7,:) + &
- ( a(4,8) * var(:,nj-3,:) + a(5,8) * var(:,nj-4,:) + &
- a(6,8) * var(:,nj-5,:) + a(7,8) * var(:,nj-6,:) + &
- a(8,8) * var(:,nj-7,:) + a(9,8) * var(:,nj-8,:) + &
- a(10,8) * var(:,nj-9,:) + a(11,8) * var(:,nj-10,:) + &
- a(12,8) * var(:,nj-11,:) ) * idel
- rhs(:,nj-6,:) = rhs(:,nj-6,:) + &
- ( a(3,7) * var(:,nj-2,:) + a(4,7) * var(:,nj-3,:) + &
- a(5,7) * var(:,nj-4,:) + a(6,7) * var(:,nj-5,:) + &
- a(7,7) * var(:,nj-6,:) + a(8,7) * var(:,nj-7,:) + &
- a(9,7) * var(:,nj-8,:) + a(10,7) * var(:,nj-9,:) + &
- a(11,7) * var(:,nj-10,:) ) * idel
- rhs(:,nj-5,:) = rhs(:,nj-5,:) + &
- ( a(2,6) * var(:,nj-1,:) + a(3,6) * var(:,nj-2,:) + &
- a(4,6) * var(:,nj-3,:) + a(5,6) * var(:,nj-4,:) + &
- a(6,6) * var(:,nj-5,:) + a(7,6) * var(:,nj-6,:) + &
- a(8,6) * var(:,nj-7,:) + a(9,6) * var(:,nj-8,:) + &
- a(10,6) * var(:,nj-9,:) ) * idel
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(1,5) * var(:,nj,:) + a(2,5) * var(:,nj-1,:) + &
- a(3,5) * var(:,nj-2,:) + a(4,5) * var(:,nj-3,:) + &
- a(5,5) * var(:,nj-4,:) + a(6,5) * var(:,nj-5,:) + &
- a(7,5) * var(:,nj-6,:) + a(8,5) * var(:,nj-7,:) + &
- a(9,5) * var(:,nj-8,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(1,4) * var(:,nj,:) + a(2,4) * var(:,nj-1,:) + &
- a(3,4) * var(:,nj-2,:) + a(4,4) * var(:,nj-3,:) + &
- a(5,4) * var(:,nj-4,:) + a(6,4) * var(:,nj-5,:) + &
- a(7,4) * var(:,nj-6,:) + a(8,4) * var(:,nj-7,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + &
- a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + &
- a(5,3) * var(:,nj-4,:) + a(6,3) * var(:,nj-5,:) + &
- a(7,3) * var(:,nj-6,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) + &
- a(5,2) * var(:,nj-4,:) + a(6,2) * var(:,nj-5,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) + a(4,1) * var(:,nj-3,:) + &
- a(5,1) * var(:,nj-4,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-7,:) = rhs(:,or-7,:) + &
+ ( a(4,8) * var(:,or-3,:) + a(5,8) * var(:,or-4,:) + &
+ a(6,8) * var(:,or-5,:) + a(7,8) * var(:,or-6,:) + &
+ a(8,8) * var(:,or-7,:) + a(9,8) * var(:,or-8,:) + &
+ a(10,8) * var(:,or-9,:) + a(11,8) * var(:,or-10,:) + &
+ a(12,8) * var(:,or-11,:) ) * idel
+ rhs(:,or-6,:) = rhs(:,or-6,:) + &
+ ( a(3,7) * var(:,or-2,:) + a(4,7) * var(:,or-3,:) + &
+ a(5,7) * var(:,or-4,:) + a(6,7) * var(:,or-5,:) + &
+ a(7,7) * var(:,or-6,:) + a(8,7) * var(:,or-7,:) + &
+ a(9,7) * var(:,or-8,:) + a(10,7) * var(:,or-9,:) + &
+ a(11,7) * var(:,or-10,:) ) * idel
+ rhs(:,or-5,:) = rhs(:,or-5,:) + &
+ ( a(2,6) * var(:,or-1,:) + a(3,6) * var(:,or-2,:) + &
+ a(4,6) * var(:,or-3,:) + a(5,6) * var(:,or-4,:) + &
+ a(6,6) * var(:,or-5,:) + a(7,6) * var(:,or-6,:) + &
+ a(8,6) * var(:,or-7,:) + a(9,6) * var(:,or-8,:) + &
+ a(10,6) * var(:,or-9,:) ) * idel
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(1,5) * var(:,or,:) + a(2,5) * var(:,or-1,:) + &
+ a(3,5) * var(:,or-2,:) + a(4,5) * var(:,or-3,:) + &
+ a(5,5) * var(:,or-4,:) + a(6,5) * var(:,or-5,:) + &
+ a(7,5) * var(:,or-6,:) + a(8,5) * var(:,or-7,:) + &
+ a(9,5) * var(:,or-8,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(1,4) * var(:,or,:) + a(2,4) * var(:,or-1,:) + &
+ a(3,4) * var(:,or-2,:) + a(4,4) * var(:,or-3,:) + &
+ a(5,4) * var(:,or-4,:) + a(6,4) * var(:,or-5,:) + &
+ a(7,4) * var(:,or-6,:) + a(8,4) * var(:,or-7,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
+ a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
+ a(5,3) * var(:,or-4,:) + a(6,3) * var(:,or-5,:) + &
+ a(7,3) * var(:,or-6,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) + &
+ a(5,2) * var(:,or-4,:) + a(6,2) * var(:,or-5,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) + a(4,1) * var(:,or-3,:) + &
+ a(5,1) * var(:,or-4,:) ) * idel
- jr = nj - 8
+ jr = or - 8
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -70.0_wp * var(:,jl:jr,:) + &
@@ -268,97 +273,99 @@ subroutine dissipation_8_4 (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) + &
- a(5,1) * var(:,:,5) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) + &
- a(9,5) * var(:,:,9) ) * idel
- rhs(:,:,6) = rhs(:,:,6) + &
- ( a(2,6) * var(:,:,2) + a(3,6) * var(:,:,3) + &
- a(4,6) * var(:,:,4) + a(5,6) * var(:,:,5) + &
- a(6,6) * var(:,:,6) + a(7,6) * var(:,:,7) + &
- a(8,6) * var(:,:,8) + a(9,6) * var(:,:,9) + &
- a(10,6) * var(:,:,10) ) * idel
- rhs(:,:,7) = rhs(:,:,7) + &
- ( a(3,7) * var(:,:,3) + a(4,7) * var(:,:,4) + &
- a(5,7) * var(:,:,5) + a(6,7) * var(:,:,6) + &
- a(7,7) * var(:,:,7) + a(8,7) * var(:,:,8) + &
- a(9,7) * var(:,:,9) + a(10,7) * var(:,:,10) + &
- a(11,7) * var(:,:,11) ) * idel
- rhs(:,:,8) = rhs(:,:,8) + &
- ( a(4,8) * var(:,:,4) + a(5,8) * var(:,:,5) + &
- a(6,8) * var(:,:,6) + a(7,8) * var(:,:,7) + &
- a(8,8) * var(:,:,8) + a(9,8) * var(:,:,9) + &
- a(10,8) * var(:,:,10) + a(11,8) * var(:,:,11) + &
- a(12,8) * var(:,:,12) ) * idel
+ ol = offset(5)
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) + &
+ a(5,1) * var(:,:,5+ol) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) + a(8,4) * var(:,:,8+ol) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) + a(8,5) * var(:,:,8+ol) + &
+ a(9,5) * var(:,:,9+ol) ) * idel
+ rhs(:,:,6+ol) = rhs(:,:,6+ol) + &
+ ( a(2,6) * var(:,:,2+ol) + a(3,6) * var(:,:,3+ol) + &
+ a(4,6) * var(:,:,4+ol) + a(5,6) * var(:,:,5+ol) + &
+ a(6,6) * var(:,:,6+ol) + a(7,6) * var(:,:,7+ol) + &
+ a(8,6) * var(:,:,8+ol) + a(9,6) * var(:,:,9+ol) + &
+ a(10,6) * var(:,:,10+ol) ) * idel
+ rhs(:,:,7+ol) = rhs(:,:,7+ol) + &
+ ( a(3,7) * var(:,:,3+ol) + a(4,7) * var(:,:,4+ol) + &
+ a(5,7) * var(:,:,5+ol) + a(6,7) * var(:,:,6+ol) + &
+ a(7,7) * var(:,:,7+ol) + a(8,7) * var(:,:,8+ol) + &
+ a(9,7) * var(:,:,9+ol) + a(10,7) * var(:,:,10+ol) + &
+ a(11,7) * var(:,:,11+ol) ) * idel
+ rhs(:,:,8+ol) = rhs(:,:,8+ol) + &
+ ( a(4,8) * var(:,:,4+ol) + a(5,8) * var(:,:,5+ol) + &
+ a(6,8) * var(:,:,6+ol) + a(7,8) * var(:,:,7+ol) + &
+ a(8,8) * var(:,:,8+ol) + a(9,8) * var(:,:,9+ol) + &
+ a(10,8) * var(:,:,10+ol) + a(11,8) * var(:,:,11+ol) + &
+ a(12,8) * var(:,:,12+ol) ) * idel
- kl = 9
+ kl = 9 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-7) = rhs(:,:,nk-7) + &
- ( a(4,8) * var(:,:,nk-3) + a(5,8) * var(:,:,nk-4) + &
- a(6,8) * var(:,:,nk-5) + a(7,8) * var(:,:,nk-6) + &
- a(8,8) * var(:,:,nk-7) + a(9,8) * var(:,:,nk-8) + &
- a(10,8) * var(:,:,nk-9) + a(11,8) * var(:,:,nk-10) + &
- a(12,8) * var(:,:,nk-11) ) * idel
- rhs(:,:,nk-6) = rhs(:,:,nk-6) + &
- ( a(3,7) * var(:,:,nk-2) + a(4,7) * var(:,:,nk-3) + &
- a(5,7) * var(:,:,nk-4) + a(6,7) * var(:,:,nk-5) + &
- a(7,7) * var(:,:,nk-6) + a(8,7) * var(:,:,nk-7) + &
- a(9,7) * var(:,:,nk-8) + a(10,7) * var(:,:,nk-9) + &
- a(11,7) * var(:,:,nk-10) ) * idel
- rhs(:,:,nk-5) = rhs(:,:,nk-5) + &
- ( a(2,6) * var(:,:,nk-1) + a(3,6) * var(:,:,nk-2) + &
- a(4,6) * var(:,:,nk-3) + a(5,6) * var(:,:,nk-4) + &
- a(6,6) * var(:,:,nk-5) + a(7,6) * var(:,:,nk-6) + &
- a(8,6) * var(:,:,nk-7) + a(9,6) * var(:,:,nk-8) + &
- a(10,6) * var(:,:,nk-9) ) * idel
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(1,5) * var(:,:,nk) + a(2,5) * var(:,:,nk-1) + &
- a(3,5) * var(:,:,nk-2) + a(4,5) * var(:,:,nk-3) + &
- a(5,5) * var(:,:,nk-4) + a(6,5) * var(:,:,nk-5) + &
- a(7,5) * var(:,:,nk-6) + a(8,5) * var(:,:,nk-7) + &
- a(9,5) * var(:,:,nk-8) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(1,4) * var(:,:,nk) + a(2,4) * var(:,:,nk-1) + &
- a(3,4) * var(:,:,nk-2) + a(4,4) * var(:,:,nk-3) + &
- a(5,4) * var(:,:,nk-4) + a(6,4) * var(:,:,nk-5) + &
- a(7,4) * var(:,:,nk-6) + a(8,4) * var(:,:,nk-7) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + &
- a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + &
- a(5,3) * var(:,:,nk-4) + a(6,3) * var(:,:,nk-5) + &
- a(7,3) * var(:,:,nk-6) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) + &
- a(5,2) * var(:,:,nk-4) + a(6,2) * var(:,:,nk-5) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) + a(4,1) * var(:,:,nk-3) + &
- a(5,1) * var(:,:,nk-4) ) * idel
- kr = nk - 8
+ or = nk - offset(6)
+ rhs(:,:,or-7) = rhs(:,:,or-7) + &
+ ( a(4,8) * var(:,:,or-3) + a(5,8) * var(:,:,or-4) + &
+ a(6,8) * var(:,:,or-5) + a(7,8) * var(:,:,or-6) + &
+ a(8,8) * var(:,:,or-7) + a(9,8) * var(:,:,or-8) + &
+ a(10,8) * var(:,:,or-9) + a(11,8) * var(:,:,or-10) + &
+ a(12,8) * var(:,:,or-11) ) * idel
+ rhs(:,:,or-6) = rhs(:,:,or-6) + &
+ ( a(3,7) * var(:,:,or-2) + a(4,7) * var(:,:,or-3) + &
+ a(5,7) * var(:,:,or-4) + a(6,7) * var(:,:,or-5) + &
+ a(7,7) * var(:,:,or-6) + a(8,7) * var(:,:,or-7) + &
+ a(9,7) * var(:,:,or-8) + a(10,7) * var(:,:,or-9) + &
+ a(11,7) * var(:,:,or-10) ) * idel
+ rhs(:,:,or-5) = rhs(:,:,or-5) + &
+ ( a(2,6) * var(:,:,or-1) + a(3,6) * var(:,:,or-2) + &
+ a(4,6) * var(:,:,or-3) + a(5,6) * var(:,:,or-4) + &
+ a(6,6) * var(:,:,or-5) + a(7,6) * var(:,:,or-6) + &
+ a(8,6) * var(:,:,or-7) + a(9,6) * var(:,:,or-8) + &
+ a(10,6) * var(:,:,or-9) ) * idel
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(1,5) * var(:,:,or) + a(2,5) * var(:,:,or-1) + &
+ a(3,5) * var(:,:,or-2) + a(4,5) * var(:,:,or-3) + &
+ a(5,5) * var(:,:,or-4) + a(6,5) * var(:,:,or-5) + &
+ a(7,5) * var(:,:,or-6) + a(8,5) * var(:,:,or-7) + &
+ a(9,5) * var(:,:,or-8) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(1,4) * var(:,:,or) + a(2,4) * var(:,:,or-1) + &
+ a(3,4) * var(:,:,or-2) + a(4,4) * var(:,:,or-3) + &
+ a(5,4) * var(:,:,or-4) + a(6,4) * var(:,:,or-5) + &
+ a(7,4) * var(:,:,or-6) + a(8,4) * var(:,:,or-7) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
+ a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
+ a(5,3) * var(:,:,or-4) + a(6,3) * var(:,:,or-5) + &
+ a(7,3) * var(:,:,or-6) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) + &
+ a(5,2) * var(:,:,or-4) + a(6,2) * var(:,:,or-5) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) + a(4,1) * var(:,:,or-3) + &
+ a(5,1) * var(:,:,or-4) ) * idel
+ kr = or - 8
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -70.0_wp * var(:,:,kl:kr) + &
diff --git a/src/Dissipation_8_4_alt.F90 b/src/Dissipation_8_4_alt.F90
index 2cbd77d..40a9ea7 100644
--- a/src/Dissipation_8_4_alt.F90
+++ b/src/Dissipation_8_4_alt.F90
@@ -3,7 +3,7 @@
#include "cctk.h"
#include "cctk_Parameters.h"
-subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
@@ -14,6 +14,7 @@ subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
+ CCTK_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
@@ -22,7 +23,7 @@ subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
CCTK_REAL, dimension(13,8) :: a
CCTK_REAL :: idel
- CCTK_INT :: il, ir, jl, jr, kl, kr
+ CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
@@ -31,108 +32,110 @@ subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
- rhs(1,:,:) = rhs(1,:,:) + &
- ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
- a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) + &
- a(5,1) * var(5,:,:) + a(6,1) * var(6,:,:) ) * idel
- rhs(2,:,:) = rhs(2,:,:) + &
- ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
- a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
- a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + &
- a(7,2) * var(7,:,:) ) * idel
- rhs(3,:,:) = rhs(3,:,:) + &
- ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
- a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
- a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
- a(7,3) * var(7,:,:) + a(8,3) * var(8,:,:) ) * idel
- rhs(4,:,:) = rhs(4,:,:) + &
- ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
- a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
- a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
- a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) + &
- a(9,4) * var(9,:,:) ) * idel
- rhs(5,:,:) = rhs(5,:,:) + &
- ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
- a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
- a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
- a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) + &
- a(9,5) * var(9,:,:) + a(10,5) * var(10,:,:) ) * idel
- rhs(6,:,:) = rhs(6,:,:) + &
- ( a(1,6) * var(1,:,:) + a(2,6) * var(2,:,:) + &
- a(3,6) * var(3,:,:) + a(4,6) * var(4,:,:) + &
- a(5,6) * var(5,:,:) + a(6,6) * var(6,:,:) + &
- a(7,6) * var(7,:,:) + a(8,6) * var(8,:,:) + &
- a(9,6) * var(9,:,:) + a(10,6) * var(10,:,:) + &
- a(11,6) * var(11,:,:) ) * idel
- rhs(7,:,:) = rhs(7,:,:) + &
- ( a(2,7) * var(2,:,:) + a(3,7) * var(3,:,:) + &
- a(4,7) * var(4,:,:) + a(5,7) * var(5,:,:) + &
- a(6,7) * var(6,:,:) + a(7,7) * var(7,:,:) + &
- a(8,7) * var(8,:,:) + a(9,7) * var(9,:,:) + &
- a(10,7) * var(10,:,:) + a(11,7) * var(11,:,:) + &
- a(12,7) * var(12,:,:) ) * idel
- rhs(8,:,:) = rhs(8,:,:) + &
- ( a(3,8) * var(3,:,:) + a(4,8) * var(4,:,:) + &
- a(5,8) * var(5,:,:) + a(6,8) * var(6,:,:) + &
- a(7,8) * var(7,:,:) + a(8,8) * var(8,:,:) + &
- a(9,8) * var(9,:,:) + a(10,8) * var(10,:,:) + &
- a(11,8) * var(11,:,:) + a(12,8) * var(12,:,:) + &
- a(13,8) * var(13,:,:) ) * idel
+ ol = offset(1)
+ rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
+ ( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
+ a(3,1) * var(3+ol,:,:) + a(4,1) * var(4+ol,:,:) + &
+ a(5,1) * var(5+ol,:,:) + a(6,1) * var(6+ol,:,:) ) * idel
+ rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
+ ( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
+ a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) + &
+ a(5,2) * var(5+ol,:,:) + a(6,2) * var(6+ol,:,:) + &
+ a(7,2) * var(7+ol,:,:) ) * idel
+ rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
+ ( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
+ a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
+ a(5,3) * var(5+ol,:,:) + a(6,3) * var(6+ol,:,:) + &
+ a(7,3) * var(7+ol,:,:) + a(8,3) * var(8+ol,:,:) ) * idel
+ rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
+ ( a(1,4) * var(1+ol,:,:) + a(2,4) * var(2+ol,:,:) + &
+ a(3,4) * var(3+ol,:,:) + a(4,4) * var(4+ol,:,:) + &
+ a(5,4) * var(5+ol,:,:) + a(6,4) * var(6+ol,:,:) + &
+ a(7,4) * var(7+ol,:,:) + a(8,4) * var(8+ol,:,:) + &
+ a(9,4) * var(9+ol,:,:) ) * idel
+ rhs(5+ol,:,:) = rhs(5+ol,:,:) + &
+ ( a(1,5) * var(1+ol,:,:) + a(2,5) * var(2+ol,:,:) + &
+ a(3,5) * var(3+ol,:,:) + a(4,5) * var(4+ol,:,:) + &
+ a(5,5) * var(5+ol,:,:) + a(6,5) * var(6+ol,:,:) + &
+ a(7,5) * var(7+ol,:,:) + a(8,5) * var(8+ol,:,:) + &
+ a(9,5) * var(9+ol,:,:) + a(10,5) * var(10+ol,:,:) ) * idel
+ rhs(6+ol,:,:) = rhs(6+ol,:,:) + &
+ ( a(1,6) * var(1+ol,:,:) + a(2,6) * var(2+ol,:,:) + &
+ a(3,6) * var(3+ol,:,:) + a(4,6) * var(4+ol,:,:) + &
+ a(5,6) * var(5+ol,:,:) + a(6,6) * var(6+ol,:,:) + &
+ a(7,6) * var(7+ol,:,:) + a(8,6) * var(8+ol,:,:) + &
+ a(9,6) * var(9+ol,:,:) + a(10,6) * var(10+ol,:,:) + &
+ a(11,6) * var(11+ol,:,:) ) * idel
+ rhs(7+ol,:,:) = rhs(7+ol,:,:) + &
+ ( a(2,7) * var(2+ol,:,:) + a(3,7) * var(3+ol,:,:) + &
+ a(4,7) * var(4+ol,:,:) + a(5,7) * var(5+ol,:,:) + &
+ a(6,7) * var(6+ol,:,:) + a(7,7) * var(7+ol,:,:) + &
+ a(8,7) * var(8+ol,:,:) + a(9,7) * var(9+ol,:,:) + &
+ a(10,7) * var(10+ol,:,:) + a(11,7) * var(11+ol,:,:) + &
+ a(12,7) * var(12+ol,:,:) ) * idel
+ rhs(8+ol,:,:) = rhs(8+ol,:,:) + &
+ ( a(3,8) * var(3+ol,:,:) + a(4,8) * var(4+ol,:,:) + &
+ a(5,8) * var(5+ol,:,:) + a(6,8) * var(6+ol,:,:) + &
+ a(7,8) * var(7+ol,:,:) + a(8,8) * var(8+ol,:,:) + &
+ a(9,8) * var(9+ol,:,:) + a(10,8) * var(10+ol,:,:) + &
+ a(11,8) * var(11+ol,:,:) + a(12,8) * var(12+ol,:,:) + &
+ a(13,8) * var(13+ol,:,:) ) * idel
- il = 9
+ il = 9 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
- rhs(ni-7,:,:) = rhs(ni-7,:,:) + &
- ( a(3,8) * var(ni-2,:,:) + a(4,8) * var(ni-3,:,:) + &
- a(5,8) * var(ni-4,:,:) + a(6,8) * var(ni-5,:,:) + &
- a(7,8) * var(ni-6,:,:) + a(8,8) * var(ni-7,:,:) + &
- a(9,8) * var(ni-8,:,:) + a(10,8) * var(ni-9,:,:) + &
- a(11,8) * var(ni-10,:,:) + a(12,8) * var(ni-11,:,:) + &
- a(13,8) * var(ni-12,:,:) ) * idel
- rhs(ni-6,:,:) = rhs(ni-6,:,:) + &
- ( a(2,7) * var(ni-1,:,:) + a(3,7) * var(ni-2,:,:) + &
- a(4,7) * var(ni-3,:,:) + a(5,7) * var(ni-4,:,:) + &
- a(6,7) * var(ni-5,:,:) + a(7,7) * var(ni-6,:,:) + &
- a(8,7) * var(ni-7,:,:) + a(9,7) * var(ni-8,:,:) + &
- a(10,7) * var(ni-9,:,:) + a(11,7) * var(ni-10,:,:) + &
- a(12,7) * var(ni-11,:,:) ) * idel
- rhs(ni-5,:,:) = rhs(ni-5,:,:) + &
- ( a(1,6) * var(ni,:,:) + a(2,6) * var(ni-1,:,:) + &
- a(3,6) * var(ni-2,:,:) + a(4,6) * var(ni-3,:,:) + &
- a(5,6) * var(ni-4,:,:) + a(6,6) * var(ni-5,:,:) + &
- a(7,6) * var(ni-6,:,:) + a(8,6) * var(ni-7,:,:) + &
- a(9,6) * var(ni-8,:,:) + a(10,6) * var(ni-9,:,:) + &
- a(11,6) * var(ni-10,:,:) ) * idel
- rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
- ( a(1,5) * var(ni,:,:) + a(2,5) * var(ni-1,:,:) + &
- a(3,5) * var(ni-2,:,:) + a(4,5) * var(ni-3,:,:) + &
- a(5,5) * var(ni-4,:,:) + a(6,5) * var(ni-5,:,:) + &
- a(7,5) * var(ni-6,:,:) + a(8,5) * var(ni-7,:,:) + &
- a(9,5) * var(ni-8,:,:) + a(10,5) * var(ni-9,:,:) ) * idel
- rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
- ( a(1,4) * var(ni,:,:) + a(2,4) * var(ni-1,:,:) + &
- a(3,4) * var(ni-2,:,:) + a(4,4) * var(ni-3,:,:) + &
- a(5,4) * var(ni-4,:,:) + a(6,4) * var(ni-5,:,:) + &
- a(7,4) * var(ni-6,:,:) + a(8,4) * var(ni-7,:,:) + &
- a(9,4) * var(ni-8,:,:) ) * idel
- rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
- ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + &
- a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + &
- a(5,3) * var(ni-4,:,:) + a(6,3) * var(ni-5,:,:) + &
- a(7,3) * var(ni-6,:,:) + a(8,3) * var(ni-7,:,:) ) * idel
- rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
- ( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
- a(3,2) * var(ni-2,:,:) + a(4,2) * var(ni-3,:,:) + &
- a(5,2) * var(ni-4,:,:) + a(6,2) * var(ni-5,:,:) + &
- a(7,2) * var(ni-6,:,:) ) * idel
- rhs(ni,:,:) = rhs(ni,:,:) + &
- ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
- a(3,1) * var(ni-2,:,:) + a(4,1) * var(ni-3,:,:) + &
- a(5,1) * var(ni-4,:,:) + a(6,1) * var(ni-5,:,:) ) * idel
+ or = ni - offset(2)
+ rhs(or-7,:,:) = rhs(or-7,:,:) + &
+ ( a(3,8) * var(or-2,:,:) + a(4,8) * var(or-3,:,:) + &
+ a(5,8) * var(or-4,:,:) + a(6,8) * var(or-5,:,:) + &
+ a(7,8) * var(or-6,:,:) + a(8,8) * var(or-7,:,:) + &
+ a(9,8) * var(or-8,:,:) + a(10,8) * var(or-9,:,:) + &
+ a(11,8) * var(or-10,:,:) + a(12,8) * var(or-11,:,:) + &
+ a(13,8) * var(or-12,:,:) ) * idel
+ rhs(or-6,:,:) = rhs(or-6,:,:) + &
+ ( a(2,7) * var(or-1,:,:) + a(3,7) * var(or-2,:,:) + &
+ a(4,7) * var(or-3,:,:) + a(5,7) * var(or-4,:,:) + &
+ a(6,7) * var(or-5,:,:) + a(7,7) * var(or-6,:,:) + &
+ a(8,7) * var(or-7,:,:) + a(9,7) * var(or-8,:,:) + &
+ a(10,7) * var(or-9,:,:) + a(11,7) * var(or-10,:,:) + &
+ a(12,7) * var(or-11,:,:) ) * idel
+ rhs(or-5,:,:) = rhs(or-5,:,:) + &
+ ( a(1,6) * var(or,:,:) + a(2,6) * var(or-1,:,:) + &
+ a(3,6) * var(or-2,:,:) + a(4,6) * var(or-3,:,:) + &
+ a(5,6) * var(or-4,:,:) + a(6,6) * var(or-5,:,:) + &
+ a(7,6) * var(or-6,:,:) + a(8,6) * var(or-7,:,:) + &
+ a(9,6) * var(or-8,:,:) + a(10,6) * var(or-9,:,:) + &
+ a(11,6) * var(or-10,:,:) ) * idel
+ rhs(or-4,:,:) = rhs(or-4,:,:) + &
+ ( a(1,5) * var(or,:,:) + a(2,5) * var(or-1,:,:) + &
+ a(3,5) * var(or-2,:,:) + a(4,5) * var(or-3,:,:) + &
+ a(5,5) * var(or-4,:,:) + a(6,5) * var(or-5,:,:) + &
+ a(7,5) * var(or-6,:,:) + a(8,5) * var(or-7,:,:) + &
+ a(9,5) * var(or-8,:,:) + a(10,5) * var(or-9,:,:) ) * idel
+ rhs(or-3,:,:) = rhs(or-3,:,:) + &
+ ( a(1,4) * var(or,:,:) + a(2,4) * var(or-1,:,:) + &
+ a(3,4) * var(or-2,:,:) + a(4,4) * var(or-3,:,:) + &
+ a(5,4) * var(or-4,:,:) + a(6,4) * var(or-5,:,:) + &
+ a(7,4) * var(or-6,:,:) + a(8,4) * var(or-7,:,:) + &
+ a(9,4) * var(or-8,:,:) ) * idel
+ rhs(or-2,:,:) = rhs(or-2,:,:) + &
+ ( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
+ a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
+ a(5,3) * var(or-4,:,:) + a(6,3) * var(or-5,:,:) + &
+ a(7,3) * var(or-6,:,:) + a(8,3) * var(or-7,:,:) ) * idel
+ rhs(or-1,:,:) = rhs(or-1,:,:) + &
+ ( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
+ a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) + &
+ a(5,2) * var(or-4,:,:) + a(6,2) * var(or-5,:,:) + &
+ a(7,2) * var(or-6,:,:) ) * idel
+ rhs(or,:,:) = rhs(or,:,:) + &
+ ( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
+ a(3,1) * var(or-2,:,:) + a(4,1) * var(or-3,:,:) + &
+ a(5,1) * var(or-4,:,:) + a(6,1) * var(or-5,:,:) ) * idel
- ir = ni - 8
+ ir = or - 8
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -252.0_wp * var(il:ir,:,:) + &
@@ -155,108 +158,110 @@ subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
- rhs(:,1,:) = rhs(:,1,:) + &
- ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
- a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) + &
- a(5,1) * var(:,5,:) + a(6,1) * var(:,6,:) ) * idel
- rhs(:,2,:) = rhs(:,2,:) + &
- ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
- a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
- a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + &
- a(7,2) * var(:,7,:) ) * idel
- rhs(:,3,:) = rhs(:,3,:) + &
- ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
- a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
- a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
- a(7,3) * var(:,7,:) + a(8,3) * var(:,8,:) ) * idel
- rhs(:,4,:) = rhs(:,4,:) + &
- ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
- a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
- a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
- a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) + &
- a(9,4) * var(:,9,:) ) * idel
- rhs(:,5,:) = rhs(:,5,:) + &
- ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
- a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
- a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
- a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) + &
- a(9,5) * var(:,9,:) + a(10,5) * var(:,10,:) ) * idel
- rhs(:,6,:) = rhs(:,6,:) + &
- ( a(1,6) * var(:,1,:) + a(2,6) * var(:,2,:) + &
- a(3,6) * var(:,3,:) + a(4,6) * var(:,4,:) + &
- a(5,6) * var(:,5,:) + a(6,6) * var(:,6,:) + &
- a(7,6) * var(:,7,:) + a(8,6) * var(:,8,:) + &
- a(9,6) * var(:,9,:) + a(10,6) * var(:,10,:) + &
- a(11,6) * var(:,11,:) ) * idel
- rhs(:,7,:) = rhs(:,7,:) + &
- ( a(2,7) * var(:,2,:) + a(3,7) * var(:,3,:) + &
- a(4,7) * var(:,4,:) + a(5,7) * var(:,5,:) + &
- a(6,7) * var(:,6,:) + a(7,7) * var(:,7,:) + &
- a(8,7) * var(:,8,:) + a(9,7) * var(:,9,:) + &
- a(10,7) * var(:,10,:) + a(11,7) * var(:,11,:) + &
- a(12,7) * var(:,12,:) ) * idel
- rhs(:,8,:) = rhs(:,8,:) + &
- ( a(3,8) * var(:,3,:) + a(4,8) * var(:,4,:) + &
- a(5,8) * var(:,5,:) + a(6,8) * var(:,6,:) + &
- a(7,8) * var(:,7,:) + a(8,8) * var(:,8,:) + &
- a(9,8) * var(:,9,:) + a(10,8) * var(:,10,:) + &
- a(11,8) * var(:,11,:) + a(12,8) * var(:,12,:) + &
- a(13,8) * var(:,13,:) ) * idel
+ ol = offset(5);
+ rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
+ ( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
+ a(3,1) * var(:,3+ol,:) + a(4,1) * var(:,4+ol,:) + &
+ a(5,1) * var(:,5+ol,:) + a(6,1) * var(:,6+ol,:) ) * idel
+ rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
+ ( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
+ a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) + &
+ a(5,2) * var(:,5+ol,:) + a(6,2) * var(:,6+ol,:) + &
+ a(7,2) * var(:,7+ol,:) ) * idel
+ rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
+ ( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
+ a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
+ a(5,3) * var(:,5+ol,:) + a(6,3) * var(:,6+ol,:) + &
+ a(7,3) * var(:,7+ol,:) + a(8,3) * var(:,8+ol,:) ) * idel
+ rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
+ ( a(1,4) * var(:,1+ol,:) + a(2,4) * var(:,2+ol,:) + &
+ a(3,4) * var(:,3+ol,:) + a(4,4) * var(:,4+ol,:) + &
+ a(5,4) * var(:,5+ol,:) + a(6,4) * var(:,6+ol,:) + &
+ a(7,4) * var(:,7+ol,:) + a(8,4) * var(:,8+ol,:) + &
+ a(9,4) * var(:,9+ol,:) ) * idel
+ rhs(:,5+ol,:) = rhs(:,5+ol,:) + &
+ ( a(1,5) * var(:,1+ol,:) + a(2,5) * var(:,2+ol,:) + &
+ a(3,5) * var(:,3+ol,:) + a(4,5) * var(:,4+ol,:) + &
+ a(5,5) * var(:,5+ol,:) + a(6,5) * var(:,6+ol,:) + &
+ a(7,5) * var(:,7+ol,:) + a(8,5) * var(:,8+ol,:) + &
+ a(9,5) * var(:,9+ol,:) + a(10,5) * var(:,10+ol,:) ) * idel
+ rhs(:,6+ol,:) = rhs(:,6+ol,:) + &
+ ( a(1,6) * var(:,1+ol,:) + a(2,6) * var(:,2+ol,:) + &
+ a(3,6) * var(:,3+ol,:) + a(4,6) * var(:,4+ol,:) + &
+ a(5,6) * var(:,5+ol,:) + a(6,6) * var(:,6+ol,:) + &
+ a(7,6) * var(:,7+ol,:) + a(8,6) * var(:,8+ol,:) + &
+ a(9,6) * var(:,9+ol,:) + a(10,6) * var(:,10+ol,:) + &
+ a(11,6) * var(:,11+ol,:) ) * idel
+ rhs(:,7+ol,:) = rhs(:,7+ol,:) + &
+ ( a(2,7) * var(:,2+ol,:) + a(3,7) * var(:,3+ol,:) + &
+ a(4,7) * var(:,4+ol,:) + a(5,7) * var(:,5+ol,:) + &
+ a(6,7) * var(:,6+ol,:) + a(7,7) * var(:,7+ol,:) + &
+ a(8,7) * var(:,8+ol,:) + a(9,7) * var(:,9+ol,:) + &
+ a(10,7) * var(:,10+ol,:) + a(11,7) * var(:,11+ol,:) + &
+ a(12,7) * var(:,12+ol,:) ) * idel
+ rhs(:,8+ol,:) = rhs(:,8+ol,:) + &
+ ( a(3,8) * var(:,3+ol,:) + a(4,8) * var(:,4+ol,:) + &
+ a(5,8) * var(:,5+ol,:) + a(6,8) * var(:,6+ol,:) + &
+ a(7,8) * var(:,7+ol,:) + a(8,8) * var(:,8+ol,:) + &
+ a(9,8) * var(:,9+ol,:) + a(10,8) * var(:,10+ol,:) + &
+ a(11,8) * var(:,11+ol,:) + a(12,8) * var(:,12+ol,:) + &
+ a(13,8) * var(:,13+ol,:) ) * idel
- jl = 9
+ jl = 9 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
- rhs(:,nj-7,:) = rhs(:,nj-7,:) + &
- ( a(3,8) * var(:,nj-2,:) + a(4,8) * var(:,nj-3,:) + &
- a(5,8) * var(:,nj-4,:) + a(6,8) * var(:,nj-5,:) + &
- a(7,8) * var(:,nj-6,:) + a(8,8) * var(:,nj-7,:) + &
- a(9,8) * var(:,nj-8,:) + a(10,8) * var(:,nj-9,:) + &
- a(11,8) * var(:,nj-10,:) + a(12,8) * var(:,nj-11,:) + &
- a(13,8) * var(:,nj-12,:) ) * idel
- rhs(:,nj-6,:) = rhs(:,nj-6,:) + &
- ( a(2,7) * var(:,nj-1,:) + a(3,7) * var(:,nj-2,:) + &
- a(4,7) * var(:,nj-3,:) + a(5,7) * var(:,nj-4,:) + &
- a(6,7) * var(:,nj-5,:) + a(7,7) * var(:,nj-6,:) + &
- a(8,7) * var(:,nj-7,:) + a(9,7) * var(:,nj-8,:) + &
- a(10,7) * var(:,nj-9,:) + a(11,7) * var(:,nj-10,:) + &
- a(12,7) * var(:,nj-11,:) ) * idel
- rhs(:,nj-5,:) = rhs(:,nj-5,:) + &
- ( a(1,6) * var(:,nj,:) + a(2,6) * var(:,nj-1,:) + &
- a(3,6) * var(:,nj-2,:) + a(4,6) * var(:,nj-3,:) + &
- a(5,6) * var(:,nj-4,:) + a(6,6) * var(:,nj-5,:) + &
- a(7,6) * var(:,nj-6,:) + a(8,6) * var(:,nj-7,:) + &
- a(9,6) * var(:,nj-8,:) + a(10,6) * var(:,nj-9,:) + &
- a(11,6) * var(:,nj-10,:) ) * idel
- rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
- ( a(1,5) * var(:,nj,:) + a(2,5) * var(:,nj-1,:) + &
- a(3,5) * var(:,nj-2,:) + a(4,5) * var(:,nj-3,:) + &
- a(5,5) * var(:,nj-4,:) + a(6,5) * var(:,nj-5,:) + &
- a(7,5) * var(:,nj-6,:) + a(8,5) * var(:,nj-7,:) + &
- a(9,5) * var(:,nj-8,:) + a(10,5) * var(:,nj-9,:) ) * idel
- rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
- ( a(1,4) * var(:,nj,:) + a(2,4) * var(:,nj-1,:) + &
- a(3,4) * var(:,nj-2,:) + a(4,4) * var(:,nj-3,:) + &
- a(5,4) * var(:,nj-4,:) + a(6,4) * var(:,nj-5,:) + &
- a(7,4) * var(:,nj-6,:) + a(8,4) * var(:,nj-7,:) + &
- a(9,4) * var(:,nj-8,:) ) * idel
- rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
- ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + &
- a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + &
- a(5,3) * var(:,nj-4,:) + a(6,3) * var(:,nj-5,:) + &
- a(7,3) * var(:,nj-6,:) + a(8,3) * var(:,nj-7,:) ) * idel
- rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
- ( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
- a(3,2) * var(:,nj-2,:) + a(4,2) * var(:,nj-3,:) + &
- a(5,2) * var(:,nj-4,:) + a(6,2) * var(:,nj-5,:) + &
- a(7,2) * var(:,nj-6,:) ) * idel
- rhs(:,nj,:) = rhs(:,nj,:) + &
- ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
- a(3,1) * var(:,nj-2,:) + a(4,1) * var(:,nj-3,:) + &
- a(5,1) * var(:,nj-4,:) + a(6,1) * var(:,nj-5,:) ) * idel
+ or = nj - offset(4)
+ rhs(:,or-7,:) = rhs(:,or-7,:) + &
+ ( a(3,8) * var(:,or-2,:) + a(4,8) * var(:,or-3,:) + &
+ a(5,8) * var(:,or-4,:) + a(6,8) * var(:,or-5,:) + &
+ a(7,8) * var(:,or-6,:) + a(8,8) * var(:,or-7,:) + &
+ a(9,8) * var(:,or-8,:) + a(10,8) * var(:,or-9,:) + &
+ a(11,8) * var(:,or-10,:) + a(12,8) * var(:,or-11,:) + &
+ a(13,8) * var(:,or-12,:) ) * idel
+ rhs(:,or-6,:) = rhs(:,or-6,:) + &
+ ( a(2,7) * var(:,or-1,:) + a(3,7) * var(:,or-2,:) + &
+ a(4,7) * var(:,or-3,:) + a(5,7) * var(:,or-4,:) + &
+ a(6,7) * var(:,or-5,:) + a(7,7) * var(:,or-6,:) + &
+ a(8,7) * var(:,or-7,:) + a(9,7) * var(:,or-8,:) + &
+ a(10,7) * var(:,or-9,:) + a(11,7) * var(:,or-10,:) + &
+ a(12,7) * var(:,or-11,:) ) * idel
+ rhs(:,or-5,:) = rhs(:,or-5,:) + &
+ ( a(1,6) * var(:,or,:) + a(2,6) * var(:,or-1,:) + &
+ a(3,6) * var(:,or-2,:) + a(4,6) * var(:,or-3,:) + &
+ a(5,6) * var(:,or-4,:) + a(6,6) * var(:,or-5,:) + &
+ a(7,6) * var(:,or-6,:) + a(8,6) * var(:,or-7,:) + &
+ a(9,6) * var(:,or-8,:) + a(10,6) * var(:,or-9,:) + &
+ a(11,6) * var(:,or-10,:) ) * idel
+ rhs(:,or-4,:) = rhs(:,or-4,:) + &
+ ( a(1,5) * var(:,or,:) + a(2,5) * var(:,or-1,:) + &
+ a(3,5) * var(:,or-2,:) + a(4,5) * var(:,or-3,:) + &
+ a(5,5) * var(:,or-4,:) + a(6,5) * var(:,or-5,:) + &
+ a(7,5) * var(:,or-6,:) + a(8,5) * var(:,or-7,:) + &
+ a(9,5) * var(:,or-8,:) + a(10,5) * var(:,or-9,:) ) * idel
+ rhs(:,or-3,:) = rhs(:,or-3,:) + &
+ ( a(1,4) * var(:,or,:) + a(2,4) * var(:,or-1,:) + &
+ a(3,4) * var(:,or-2,:) + a(4,4) * var(:,or-3,:) + &
+ a(5,4) * var(:,or-4,:) + a(6,4) * var(:,or-5,:) + &
+ a(7,4) * var(:,or-6,:) + a(8,4) * var(:,or-7,:) + &
+ a(9,4) * var(:,or-8,:) ) * idel
+ rhs(:,or-2,:) = rhs(:,or-2,:) + &
+ ( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
+ a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
+ a(5,3) * var(:,or-4,:) + a(6,3) * var(:,or-5,:) + &
+ a(7,3) * var(:,or-6,:) + a(8,3) * var(:,or-7,:) ) * idel
+ rhs(:,or-1,:) = rhs(:,or-1,:) + &
+ ( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
+ a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) + &
+ a(5,2) * var(:,or-4,:) + a(6,2) * var(:,or-5,:) + &
+ a(7,2) * var(:,or-6,:) ) * idel
+ rhs(:,or,:) = rhs(:,or,:) + &
+ ( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
+ a(3,1) * var(:,or-2,:) + a(4,1) * var(:,or-3,:) + &
+ a(5,1) * var(:,or-4,:) + a(6,1) * var(:,or-5,:) ) * idel
- jr = nj - 8
+ jr = or - 8
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -252.0_wp * var(:,jl:jr,:) + &
@@ -280,108 +285,110 @@ subroutine dissipation_8_4_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
- rhs(:,:,1) = rhs(:,:,1) + &
- ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
- a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) + &
- a(5,1) * var(:,:,5) + a(6,1) * var(:,:,6) ) * idel
- rhs(:,:,2) = rhs(:,:,2) + &
- ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
- a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
- a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + &
- a(7,2) * var(:,:,7) ) * idel
- rhs(:,:,3) = rhs(:,:,3) + &
- ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
- a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
- a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
- a(7,3) * var(:,:,7) + a(8,3) * var(:,:,8) ) * idel
- rhs(:,:,4) = rhs(:,:,4) + &
- ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
- a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
- a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
- a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) + &
- a(9,4) * var(:,:,9) ) * idel
- rhs(:,:,5) = rhs(:,:,5) + &
- ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
- a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
- a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
- a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) + &
- a(9,5) * var(:,:,9) + a(10,5) * var(:,:,10) ) * idel
- rhs(:,:,6) = rhs(:,:,6) + &
- ( a(1,6) * var(:,:,1) + a(2,6) * var(:,:,2) + &
- a(3,6) * var(:,:,3) + a(4,6) * var(:,:,4) + &
- a(5,6) * var(:,:,5) + a(6,6) * var(:,:,6) + &
- a(7,6) * var(:,:,7) + a(8,6) * var(:,:,8) + &
- a(9,6) * var(:,:,9) + a(10,6) * var(:,:,10) + &
- a(11,6) * var(:,:,11) ) * idel
- rhs(:,:,7) = rhs(:,:,7) + &
- ( a(2,7) * var(:,:,2) + a(3,7) * var(:,:,3) + &
- a(4,7) * var(:,:,4) + a(5,7) * var(:,:,5) + &
- a(6,7) * var(:,:,6) + a(7,7) * var(:,:,7) + &
- a(8,7) * var(:,:,8) + a(9,7) * var(:,:,9) + &
- a(10,7) * var(:,:,10) + a(11,7) * var(:,:,11) + &
- a(12,7) * var(:,:,12) ) * idel
- rhs(:,:,8) = rhs(:,:,8) + &
- ( a(3,8) * var(:,:,3) + a(4,8) * var(:,:,4) + &
- a(5,8) * var(:,:,5) + a(6,8) * var(:,:,6) + &
- a(7,8) * var(:,:,7) + a(8,8) * var(:,:,8) + &
- a(9,8) * var(:,:,9) + a(10,8) * var(:,:,10) + &
- a(11,8) * var(:,:,11) + a(12,8) * var(:,:,12) + &
- a(13,8) * var(:,:,13) ) * idel
+ ol = offset(5);
+ rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
+ ( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
+ a(3,1) * var(:,:,3+ol) + a(4,1) * var(:,:,4+ol) + &
+ a(5,1) * var(:,:,5+ol) + a(6,1) * var(:,:,6+ol ) ) * idel
+ rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
+ ( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
+ a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) + &
+ a(5,2) * var(:,:,5+ol) + a(6,2) * var(:,:,6+ol) + &
+ a(7,2) * var(:,:,7+ol ) ) * idel
+ rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
+ ( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
+ a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
+ a(5,3) * var(:,:,5+ol) + a(6,3) * var(:,:,6+ol) + &
+ a(7,3) * var(:,:,7+ol) + a(8,3) * var(:,:,8+ol ) ) * idel
+ rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
+ ( a(1,4) * var(:,:,1+ol) + a(2,4) * var(:,:,2+ol) + &
+ a(3,4) * var(:,:,3+ol) + a(4,4) * var(:,:,4+ol) + &
+ a(5,4) * var(:,:,5+ol) + a(6,4) * var(:,:,6+ol) + &
+ a(7,4) * var(:,:,7+ol) + a(8,4) * var(:,:,8+ol) + &
+ a(9,4) * var(:,:,9+ol ) ) * idel
+ rhs(:,:,5+ol) = rhs(:,:,5+ol) + &
+ ( a(1,5) * var(:,:,1+ol) + a(2,5) * var(:,:,2+ol) + &
+ a(3,5) * var(:,:,3+ol) + a(4,5) * var(:,:,4+ol) + &
+ a(5,5) * var(:,:,5+ol) + a(6,5) * var(:,:,6+ol) + &
+ a(7,5) * var(:,:,7+ol) + a(8,5) * var(:,:,8+ol) + &
+ a(9,5) * var(:,:,9+ol) + a(10,5) * var(:,:,10+ol ) ) * idel
+ rhs(:,:,6+ol) = rhs(:,:,6+ol) + &
+ ( a(1,6) * var(:,:,1+ol) + a(2,6) * var(:,:,2+ol) + &
+ a(3,6) * var(:,:,3+ol) + a(4,6) * var(:,:,4+ol) + &
+ a(5,6) * var(:,:,5+ol) + a(6,6) * var(:,:,6+ol) + &
+ a(7,6) * var(:,:,7+ol) + a(8,6) * var(:,:,8+ol) + &
+ a(9,6) * var(:,:,9+ol) + a(10,6) * var(:,:,10+ol) + &
+ a(11,6) * var(:,:,11+ol ) ) * idel
+ rhs(:,:,7+ol) = rhs(:,:,7+ol) + &
+ ( a(2,7) * var(:,:,2+ol) + a(3,7) * var(:,:,3+ol) + &
+ a(4,7) * var(:,:,4+ol) + a(5,7) * var(:,:,5+ol) + &
+ a(6,7) * var(:,:,6+ol) + a(7,7) * var(:,:,7+ol) + &
+ a(8,7) * var(:,:,8+ol) + a(9,7) * var(:,:,9+ol) + &
+ a(10,7) * var(:,:,10+ol) + a(11,7) * var(:,:,11+ol) + &
+ a(12,7) * var(:,:,12+ol ) ) * idel
+ rhs(:,:,8+ol) = rhs(:,:,8+ol) + &
+ ( a(3,8) * var(:,:,3+ol) + a(4,8) * var(:,:,4+ol) + &
+ a(5,8) * var(:,:,5+ol) + a(6,8) * var(:,:,6+ol) + &
+ a(7,8) * var(:,:,7+ol) + a(8,8) * var(:,:,8+ol) + &
+ a(9,8) * var(:,:,9+ol) + a(10,8) * var(:,:,10+ol) + &
+ a(11,8) * var(:,:,11+ol) + a(12,8) * var(:,:,12+ol) + &
+ a(13,8) * var(:,:,13+ol ) ) * idel
- kl = 9
+ kl = 9 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
- rhs(:,:,nk-7) = rhs(:,:,nk-7) + &
- ( a(3,8) * var(:,:,nk-2) + a(4,8) * var(:,:,nk-3) + &
- a(5,8) * var(:,:,nk-4) + a(6,8) * var(:,:,nk-5) + &
- a(7,8) * var(:,:,nk-6) + a(8,8) * var(:,:,nk-7) + &
- a(9,8) * var(:,:,nk-8) + a(10,8) * var(:,:,nk-9) + &
- a(11,8) * var(:,:,nk-10) + a(12,8) * var(:,:,nk-11) + &
- a(13,8) * var(:,:,nk-12) ) * idel
- rhs(:,:,nk-6) = rhs(:,:,nk-6) + &
- ( a(2,7) * var(:,:,nk-1) + a(3,7) * var(:,:,nk-2) + &
- a(4,7) * var(:,:,nk-3) + a(5,7) * var(:,:,nk-4) + &
- a(6,7) * var(:,:,nk-5) + a(7,7) * var(:,:,nk-6) + &
- a(8,7) * var(:,:,nk-7) + a(9,7) * var(:,:,nk-8) + &
- a(10,7) * var(:,:,nk-9) + a(11,7) * var(:,:,nk-10) + &
- a(12,7) * var(:,:,nk-11) ) * idel
- rhs(:,:,nk-5) = rhs(:,:,nk-5) + &
- ( a(1,6) * var(:,:,nk) + a(2,6) * var(:,:,nk-1) + &
- a(3,6) * var(:,:,nk-2) + a(4,6) * var(:,:,nk-3) + &
- a(5,6) * var(:,:,nk-4) + a(6,6) * var(:,:,nk-5) + &
- a(7,6) * var(:,:,nk-6) + a(8,6) * var(:,:,nk-7) + &
- a(9,6) * var(:,:,nk-8) + a(10,6) * var(:,:,nk-9) + &
- a(11,6) * var(:,:,nk-10) ) * idel
- rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
- ( a(1,5) * var(:,:,nk) + a(2,5) * var(:,:,nk-1) + &
- a(3,5) * var(:,:,nk-2) + a(4,5) * var(:,:,nk-3) + &
- a(5,5) * var(:,:,nk-4) + a(6,5) * var(:,:,nk-5) + &
- a(7,5) * var(:,:,nk-6) + a(8,5) * var(:,:,nk-7) + &
- a(9,5) * var(:,:,nk-8) + a(10,5) * var(:,:,nk-9) ) * idel
- rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
- ( a(1,4) * var(:,:,nk) + a(2,4) * var(:,:,nk-1) + &
- a(3,4) * var(:,:,nk-2) + a(4,4) * var(:,:,nk-3) + &
- a(5,4) * var(:,:,nk-4) + a(6,4) * var(:,:,nk-5) + &
- a(7,4) * var(:,:,nk-6) + a(8,4) * var(:,:,nk-7) + &
- a(9,4) * var(:,:,nk-8) ) * idel
- rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
- ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + &
- a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + &
- a(5,3) * var(:,:,nk-4) + a(6,3) * var(:,:,nk-5) + &
- a(7,3) * var(:,:,nk-6) + a(8,3) * var(:,:,nk-7) ) * idel
- rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
- ( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
- a(3,2) * var(:,:,nk-2) + a(4,2) * var(:,:,nk-3) + &
- a(5,2) * var(:,:,nk-4) + a(6,2) * var(:,:,nk-5) + &
- a(7,2) * var(:,:,nk-6) ) * idel
- rhs(:,:,nk) = rhs(:,:,nk) + &
- ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
- a(3,1) * var(:,:,nk-2) + a(4,1) * var(:,:,nk-3) + &
- a(5,1) * var(:,:,nk-4) + a(6,1) * var(:,:,nk-5) ) * idel
+ or = nk - offset(6)
+ rhs(:,:,or-7) = rhs(:,:,or-7) + &
+ ( a(3,8) * var(:,:,or-2) + a(4,8) * var(:,:,or-3) + &
+ a(5,8) * var(:,:,or-4) + a(6,8) * var(:,:,or-5) + &
+ a(7,8) * var(:,:,or-6) + a(8,8) * var(:,:,or-7) + &
+ a(9,8) * var(:,:,or-8) + a(10,8) * var(:,:,or-9) + &
+ a(11,8) * var(:,:,or-10) + a(12,8) * var(:,:,or-11) + &
+ a(13,8) * var(:,:,or-12) ) * idel
+ rhs(:,:,or-6) = rhs(:,:,or-6) + &
+ ( a(2,7) * var(:,:,or-1) + a(3,7) * var(:,:,or-2) + &
+ a(4,7) * var(:,:,or-3) + a(5,7) * var(:,:,or-4) + &
+ a(6,7) * var(:,:,or-5) + a(7,7) * var(:,:,or-6) + &
+ a(8,7) * var(:,:,or-7) + a(9,7) * var(:,:,or-8) + &
+ a(10,7) * var(:,:,or-9) + a(11,7) * var(:,:,or-10) + &
+ a(12,7) * var(:,:,or-11) ) * idel
+ rhs(:,:,or-5) = rhs(:,:,or-5) + &
+ ( a(1,6) * var(:,:,or) + a(2,6) * var(:,:,or-1) + &
+ a(3,6) * var(:,:,or-2) + a(4,6) * var(:,:,or-3) + &
+ a(5,6) * var(:,:,or-4) + a(6,6) * var(:,:,or-5) + &
+ a(7,6) * var(:,:,or-6) + a(8,6) * var(:,:,or-7) + &
+ a(9,6) * var(:,:,or-8) + a(10,6) * var(:,:,or-9) + &
+ a(11,6) * var(:,:,or-10) ) * idel
+ rhs(:,:,or-4) = rhs(:,:,or-4) + &
+ ( a(1,5) * var(:,:,or) + a(2,5) * var(:,:,or-1) + &
+ a(3,5) * var(:,:,or-2) + a(4,5) * var(:,:,or-3) + &
+ a(5,5) * var(:,:,or-4) + a(6,5) * var(:,:,or-5) + &
+ a(7,5) * var(:,:,or-6) + a(8,5) * var(:,:,or-7) + &
+ a(9,5) * var(:,:,or-8) + a(10,5) * var(:,:,or-9) ) * idel
+ rhs(:,:,or-3) = rhs(:,:,or-3) + &
+ ( a(1,4) * var(:,:,or) + a(2,4) * var(:,:,or-1) + &
+ a(3,4) * var(:,:,or-2) + a(4,4) * var(:,:,or-3) + &
+ a(5,4) * var(:,:,or-4) + a(6,4) * var(:,:,or-5) + &
+ a(7,4) * var(:,:,or-6) + a(8,4) * var(:,:,or-7) + &
+ a(9,4) * var(:,:,or-8) ) * idel
+ rhs(:,:,or-2) = rhs(:,:,or-2) + &
+ ( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
+ a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
+ a(5,3) * var(:,:,or-4) + a(6,3) * var(:,:,or-5) + &
+ a(7,3) * var(:,:,or-6) + a(8,3) * var(:,:,or-7) ) * idel
+ rhs(:,:,or-1) = rhs(:,:,or-1) + &
+ ( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
+ a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) + &
+ a(5,2) * var(:,:,or-4) + a(6,2) * var(:,:,or-5) + &
+ a(7,2) * var(:,:,or-6) ) * idel
+ rhs(:,:,or) = rhs(:,:,or) + &
+ ( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
+ a(3,1) * var(:,:,or-2) + a(4,1) * var(:,:,or-3) + &
+ a(5,1) * var(:,:,or-4) + a(6,1) * var(:,:,or-5) ) * idel
- kr = nk - 8
+ kr = or - 8
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -252.0_wp * var(:,:,kl:kr) + &
diff --git a/src/call_derivs.c b/src/call_derivs.c
index 992e028..aeab3d7 100644
--- a/src/call_derivs.c
+++ b/src/call_derivs.c
@@ -8,7 +8,6 @@
#include "stencil.h"
-
void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_REAL *var, CCTK_REAL *dvar,
const CCTK_INT table_handle )
@@ -33,6 +32,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_4_2)(const CCTK_REAL *var,
@@ -42,6 +42,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_4_3)(const CCTK_REAL *var,
@@ -51,6 +52,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_4_3_opt)(const CCTK_REAL *var,
@@ -60,6 +62,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_6_3)(const CCTK_REAL *var,
@@ -69,6 +72,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_6_3_opt)(const CCTK_REAL *var,
@@ -78,6 +82,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_6_5)(const CCTK_REAL *var,
@@ -87,6 +92,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_6_5_opt)(const CCTK_REAL *var,
@@ -96,6 +102,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_8_4)(const CCTK_REAL *var,
@@ -105,6 +112,7 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
const CCTK_INT *dir,
const CCTK_INT *bb,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *delta,
CCTK_REAL *dvar);
void CCTK_FCALL CCTK_FNAME(deriv_gf_8_4_opt)(const CCTK_REAL *var,
@@ -225,19 +233,19 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
if ( CCTK_Equals(operator_type,"Minimal Bandwidth") ) {
switch(loc_order) {
case 2: {
- CCTK_FNAME(deriv_gf_2_1)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_2_1)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 4: {
- CCTK_FNAME(deriv_gf_4_2)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_4_2)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 6: {
- CCTK_FNAME(deriv_gf_6_3)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_6_3)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 8: {
- CCTK_FNAME(deriv_gf_8_4)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_8_4)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
default:
@@ -246,15 +254,15 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
} else {
switch(loc_order) {
case 2: {
- CCTK_FNAME(deriv_gf_2_1)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_2_1)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 4: {
- CCTK_FNAME(deriv_gf_4_2)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_4_2)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 6: {
- CCTK_FNAME(deriv_gf_6_3_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_6_3_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 8: {
@@ -269,11 +277,11 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
if ( CCTK_Equals(operator_type,"Minimal Bandwidth") ) {
switch(loc_order) {
case 4: {
- CCTK_FNAME(deriv_gf_4_3)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_4_3)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 6: {
- CCTK_FNAME(deriv_gf_6_5)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_6_5)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
default:
@@ -282,11 +290,11 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir,
} else {
switch(loc_order) {
case 4: {
- CCTK_FNAME(deriv_gf_4_3_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_4_3_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
case 6: {
- CCTK_FNAME(deriv_gf_6_5_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar);
+ CCTK_FNAME(deriv_gf_6_5_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,loc_offset,&delta,dvar);
break;
}
default:
diff --git a/src/dissipation.c b/src/dissipation.c
index bf6fc29..71fcab9 100644
--- a/src/dissipation.c
+++ b/src/dissipation.c
@@ -19,6 +19,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_4_3_opt) (const CCTK_REAL *var,
const CCTK_INT *lbnd,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
const CCTK_REAL *diss_fraction,
@@ -31,6 +32,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_4_3_alt) (const CCTK_REAL *var,
const CCTK_INT *lbnd,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
const CCTK_REAL *diss_fraction,
@@ -43,6 +45,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_6_5_opt) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
const CCTK_REAL *diss_fraction,
@@ -55,6 +58,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_6_5_alt) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
const CCTK_REAL *diss_fraction,
@@ -67,6 +71,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_2_1) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -76,6 +81,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_2_1_alt) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -85,6 +91,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_4_2) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -94,6 +101,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_4_2_alt) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -103,6 +111,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_6_3) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -112,6 +121,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_6_3_alt) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -121,6 +131,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_8_4) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -130,6 +141,7 @@ void CCTK_FCALL CCTK_FNAME(dissipation_8_4_alt) (const CCTK_REAL *var,
const CCTK_INT *nk,
const CCTK_INT *bbox,
const CCTK_INT *gsize,
+ const CCTK_INT *offset,
const CCTK_REAL *dx,
const CCTK_REAL *epsdis,
CCTK_REAL *rhs);
@@ -164,6 +176,9 @@ apply (int const varindex, char const * const optstring, void * const arg)
CCTK_INT bbox[6];
int onesided[6];
CCTK_INT npatches, patch;
+ CCTK_INT offset[6];
+ int type;
+ int i;
assert (varindex >= 0);
@@ -171,12 +186,41 @@ apply (int const varindex, char const * const optstring, void * const arg)
dx[d] = CCTK_DELTA_SPACE(d)*h_scaling[d];
gsize[d] = cctk_nghostzones[d];
}
-
+
+ for (i=0; i<6; i++) {
+ offset[i] = 0;
+ }
+ if ( use_shiftout ) {
+ const CCTK_INT* shiftout_x_lower = (const CCTK_INT*) CCTK_ParameterGet ( "boundary_shiftout_x_lower", "coordbase", &type );
+ if (shiftout_x_lower != NULL ) {
+ offset[0] = *shiftout_x_lower;
+ }
+ const CCTK_INT* shiftout_x_upper = (const CCTK_INT*) CCTK_ParameterGet ( "boundary_shiftout_x_upper", "coordbase", &type );
+ if (shiftout_x_upper != NULL ) {
+ offset[1] = *shiftout_x_upper;
+ }
+ const CCTK_INT* shiftout_y_lower = (const CCTK_INT*) CCTK_ParameterGet ( "boundary_shiftout_y_lower", "coordbase", &type );
+ if (shiftout_y_lower != NULL ) {
+ offset[2] = *shiftout_y_lower;
+ }
+ const CCTK_INT* shiftout_y_upper = (const CCTK_INT*) CCTK_ParameterGet ( "boundary_shiftout_y_upper", "coordbase", &type );
+ if (shiftout_y_upper != NULL ) {
+ offset[3] = *shiftout_y_upper;
+ }
+ const CCTK_INT* shiftout_z_lower = (const CCTK_INT*) CCTK_ParameterGet ( "boundary_shiftout_z_lower", "coordbase", &type );
+ if (shiftout_z_lower != NULL ) {
+ offset[4] = *shiftout_z_lower;
+ }
+ const CCTK_INT* shiftout_z_upper = (const CCTK_INT*) CCTK_ParameterGet ( "boundary_shiftout_z_upper", "coordbase", &type );
+ if (shiftout_z_upper != NULL ) {
+ offset[5] = *shiftout_z_upper;
+ }
+ }
+
SBP_determine_onesided_stencil (cctkGH, onesided);
for (d=0; d<6; ++d) {
bbox[d] = onesided[d];
}
-
rhsindex = MoLQueryEvolvedRHS (varindex);
if (rhsindex < 0) {
char * const fullvarname = CCTK_FullName (varindex);
@@ -228,11 +272,11 @@ apply (int const varindex, char const * const optstring, void * const arg)
if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
CCTK_FNAME(dissipation_2_1)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
} else {
CCTK_FNAME(dissipation_2_1_alt)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
}
break;
}
@@ -240,11 +284,11 @@ apply (int const varindex, char const * const optstring, void * const arg)
if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
CCTK_FNAME(dissipation_4_2)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
} else {
CCTK_FNAME(dissipation_4_2_alt)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
}
break;
}
@@ -252,11 +296,11 @@ apply (int const varindex, char const * const optstring, void * const arg)
if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
CCTK_FNAME(dissipation_6_3)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
} else {
CCTK_FNAME(dissipation_6_3_alt)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
}
break;
}
@@ -264,11 +308,11 @@ apply (int const varindex, char const * const optstring, void * const arg)
if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
CCTK_FNAME(dissipation_8_4)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
} else {
CCTK_FNAME(dissipation_8_4_alt)
(varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2],
- bbox, gsize, dx, &epsdis, rhsptr);
+ bbox, gsize, offset, dx, &epsdis, rhsptr);
}
break;
}
@@ -282,11 +326,11 @@ apply (int const varindex, char const * const optstring, void * const arg)
case 4: {
if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
CCTK_FNAME(dissipation_4_3_opt)
- (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize,
+ (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize, offset,
dx, &epsdis, diss_fraction, &npatches, &patch, rhsptr);
} else {
CCTK_FNAME(dissipation_4_3_alt)
- (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize,
+ (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize, offset,
dx, &epsdis, diss_fraction, &npatches, &patch, rhsptr);
}
break;
@@ -294,11 +338,11 @@ apply (int const varindex, char const * const optstring, void * const arg)
case 6: {
if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
CCTK_FNAME(dissipation_6_5_opt)
- (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize,
+ (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize, offset,
dx, &epsdis, diss_fraction, &npatches, &patch, rhsptr);
} else {
CCTK_FNAME(dissipation_6_5_alt)
- (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize,
+ (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize, offset,
dx, &epsdis, diss_fraction, &npatches, &patch, rhsptr);
}
break;