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! $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
subroutine dissipation_6_3_alt (var, ni, nj, nk, bb, gsize, offset, delta, epsilon, rhs)
implicit none
DECLARE_CCTK_PARAMETERS
integer :: ni, nj, nk
CCTK_REAL, dimension(ni,nj,nk), intent(in) :: var
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
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
CCTK_REAL, dimension(10,6) :: a
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
idel = epsilon / ( 256 * delta(1) )
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
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 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
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 = or - 6
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -70.0_wp * var(il:ir,:,:) + &
56.0_wp * ( var(il-1:ir-1,:,:) + &
var(il+1:ir+1,:,:) ) - &
28.0_wp * ( var(il-2:ir-2,:,:) + &
var(il+2:ir+2,:,:) ) + &
8.0_wp * ( var(il-3:ir-3,:,:) + &
var(il+3:ir+3,:,:) ) - &
( var(il-4:ir-4,:,:) + &
var(il+4:ir+4,:,:) ) ) * idel
if ( zero_derivs_y == 0 ) then
call set_coeff ( a )
idel = epsilon / ( 256 * delta(2) )
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
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 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
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 = or - 6
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -70.0_wp * var(:,jl:jr,:) + &
56.0_wp * ( var(:,jl-1:jr-1,:) + &
var(:,jl+1:jr+1,:) ) - &
28.0_wp * ( var(:,jl-2:jr-2,:) + &
var(:,jl+2:jr+2,:) ) + &
8.0_wp * ( var(:,jl-3:jr-3,:) + &
var(:,jl+3:jr+3,:) ) - &
( var(:,jl-4:jr-4,:) + &
var(:,jl+4:jr+4,:) ) ) * idel
end if
if ( zero_derivs_z == 0 ) then
call set_coeff ( a )
idel = epsilon / ( 256 * delta(3) )
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
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 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
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) + &
56.0_wp * ( var(:,:,kl-1:kr-1) + &
var(:,:,kl+1:kr+1) ) - &
28.0_wp * ( var(:,:,kl-2:kr-2) + &
var(:,:,kl+2:kr+2) ) + &
8.0_wp * ( var(:,:,kl-3:kr-3) + &
var(:,:,kl+3:kr+3) ) - &
( var(:,:,kl-4:kr-4) + &
var(:,:,kl+4:kr+4) ) ) * idel
end if
contains
subroutine set_coeff ( a )
implicit none
CCTK_REAL, dimension(10,6), intent(OUT) :: a
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
a(1,1) = -3.1650670378782328375705179866656897941241116565316_wp
a(2,1) = 12.660268151512931350282071946662759176496446626126_wp
a(3,1) = -18.990402227269397025423107919994138764744669939190_wp
a(4,1) = 12.660268151512931350282071946662759176496446626126_wp
a(5,1) = -3.1650670378782328375705179866656897941241116565316_wp
a(6,1) = 0.0_wp
a(7,1) = 0.0_wp
a(8,1) = 0.0_wp
a(9,1) = 0.0_wp
a(10,1) = 0.0_wp
a(1,2) = 2.8768833763422958461666527928077915591442603845834_wp
a(2,2) = -12.226754349454757346208274369433114126363106634479_wp
a(3,2) = 20.138183634396070923166569549654540914009822692084_wp
a(4,2) = -15.822858569882627153916590360442853575293432115209_wp
a(5,2) = 5.7537667526845916923333055856155831182885207691667_wp
a(6,2) = -0.71922084408557396154166319820194788978606509614584_wp
a(7,2) = 0.0_wp
a(8,2) = 0.0_wp
a(9,2) = 0.0_wp
a(10,2) = 0.0_wp
a(1,3) = -9.5610475839173736628550350424197713021025451862781_wp
a(2,3) = 44.618222058281077093323496864625599409811877535965_wp
a(3,3) = -84.455920324603467355219476208041313168572482478790_wp
a(4,3) = 82.862412393950571744743637034304684618222058281077_wp
a(5,3) = -44.618222058281077093323496864625599409811877535965_wp
a(6,3) = 12.748063445223164883806713389893028402803393581704_wp
a(7,3) = -1.5935079306528956104758391737366285503504241977130_wp
a(8,3) = 0.0_wp
a(9,3) = 0.0_wp
a(10,3) = 0.0_wp
a(1,4) = 3.2244821795111028176898675125956335137152453816010_wp
a(2,4) = -17.734651987311065497294271319275984325433849598806_wp
a(3,4) = 41.918268333644336629968277663743235678298189960814_wp
a(4,4) = -55.622317596566523605150214592274678111587982832618_wp
a(5,4) = 45.142750513155439447658145176338869192013435342415_wp
a(6,4) = -22.571375256577719723829072588169434596006717671207_wp
a(7,4) = 6.4489643590222056353797350251912670274304907632021_wp
a(8,4) = -0.80612054487777570442246687814890837842881134540026_wp
a(9,4) = 0.0_wp
a(10,4) = 0.0_wp
a(1,5) = -1.0968642884346832550463374381109559476958232829758_wp
a(2,5) = 8.7749143074774660403706995048876475815665862638060_wp
a(3,5) = -30.712200076171131141297448267106766535483051923321_wp
a(4,5) = 61.424400152342262282594896534213533070966103846642_wp
a(5,5) = -76.780500190427827853243620667766916338707629808303_wp
a(6,5) = 61.424400152342262282594896534213533070966103846642_wp
a(7,5) = -30.712200076171131141297448267106766535483051923321_wp
a(8,5) = 8.7749143074774660403706995048876475815665862638060_wp
a(9,5) = -1.0968642884346832550463374381109559476958232829758_wp
a(10,5) = 0.0_wp
a(1,6) = 0.0_wp
a(2,6) = -0.98627885208100271683294901942878016483641925983425_wp
a(3,6) = 7.8902308166480217346635921554302413186913540786740_wp
a(4,6) = -27.615807858268076071322572544005844615419739275359_wp
a(5,6) = 55.231615716536152142645145088011689230839478550718_wp
a(6,6) = -69.039519645670190178306431360014611538549348188398_wp
a(7,6) = 55.231615716536152142645145088011689230839478550718_wp
a(8,6) = -27.615807858268076071322572544005844615419739275359_wp
a(9,6) = 7.8902308166480217346635921554302413186913540786740_wp
a(10,6) = -0.98627885208100271683294901942878016483641925983425_wp
end subroutine set_coeff
end subroutine dissipation_6_3_alt
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