Routines for getting the coefficients for the various derivatives. By request from Bela.

git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/SummationByParts/trunk@23 f69c4107-0314-4c4f-9ad4-17e986b73f4a

1 files changed, 112 insertions, 0 deletions

diff --git a/src/Coefficients_6_3.F90 b/src/Coefficients_6_3.F90
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+#include "cctk.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+subroutine set_coeff_6_3 ( nsize, loc_order, bb, gsize, imin, imax, dd )
+
+  implicit none
+
+  DECLARE_CCTK_FUNCTIONS
+  DECLARE_CCTK_PARAMETERS
+
+  CCTK_REAL, parameter :: zero = 0.0
+  integer, parameter :: wp = kind(zero)
+  CCTK_INT, intent(IN) :: nsize, loc_order
+  CCTK_INT, dimension(2), intent(IN) :: bb
+  CCTK_INT, intent(IN) :: gsize
+  CCTK_INT, dimension(nsize), intent(OUT) :: imin, imax
+  CCTK_REAL, dimension(nsize,nsize), intent(OUT) :: dd
+
+  CCTK_REAL, dimension(3), save :: a
+  CCTK_REAL, dimension(9,6), save :: q 
+
+  CCTK_INT :: i, il, ir
+
+  logical, save :: first = .true.
+
+  if ( first ) then
+    a(1) = 3.0_wp/4.0_wp; a(2) = -3.0_wp/20.0_wp; a(3) = 1.0_wp/60.0_wp
+
+    q(1,1) = -21600.0_wp/13649.0_wp; q(2,1) = 81763.0_wp/40947.0_wp
+    q(3,1) = 131.0_wp/27298.0_wp; q(4,1) = -9143.0_wp/13649.0_wp
+    q(5,1) = 20539.0_wp/81894.0_wp; q(6,1) = zero;
+    q(7,1) = zero; q(8,1) = zero; q(9,1) = zero
+    q(1,2) = -81763.0_wp/180195.0_wp; q(2,2) = zero
+    q(3,2) = 7357.0_wp/36039.0_wp; q(4,2) = 30637.0_wp/72078.0_wp
+    q(5,2) = -2328.0_wp/12013.0_wp; q(6,2) = 6611.0_wp/360390.0_wp
+    q(7,2) = zero; q(8,2) = zero; q(9,2) = zero
+    q(1,3) = -131.0_wp/54220.0_wp; q(2,3) = -7357.0_wp/16266.0_wp
+    q(3,3) = zero; q(4,3) = 645.0_wp/2711.0_wp
+    q(5,3) = 11237.0_wp/32532.0_wp; q(6,3) = -3487.0_wp/27110.0_wp
+    q(7,3) = zero; q(8,3) = zero; q(9,3) = zero
+    q(1,4) = 9143.0_wp/53590.0_wp; q(2,4) = -30637.0_wp/64308.0_wp
+    q(3,4) =  -645.0_wp/5359.0_wp; q(4,4) = zero
+    q(5,4) = 13733.0_wp/32154.0_wp; q(6,4) = -67.0_wp/4660.0_wp
+    q(7,4) = 72.0_wp/5359.0_wp; q(8,4) = zero; q(9,4) = zero;
+    q(1,5) = -20539.0_wp/236310.0_wp; q(2,5) = 2328.0_wp/7877.0_wp
+    q(3,5) = -11237.0_wp/47262.0_wp; q(4,5) = -13733.0_wp/23631.0_wp
+    q(5,5) = zero; q(6,5) = 89387.0_wp/118155.0_wp
+    q(7,5) = -1296.0_wp/7877.0_wp; q(8,5) = 144.0_wp/7877.0_wp; q(9,5) = zero
+    q(1,6) = zero; q(2,6) = -6611.0_wp/262806.0_wp
+    q(3,6) = 3487.0_wp/43801.0_wp; q(4,6) = 1541.0_wp/87602.0_wp
+    q(5,6) = -89387.0_wp/131403.0_wp; q(6,6) = zero
+    q(7,6) = 32400.0_wp/43801.0_wp; q(8,6) = -6480.0_wp/43801.0_wp
+    q(9,6) = 720.0_wp/43801.0_wp
+    first = .false. 
+  end if
+
+  dd = zero
+  imin = 0
+  imax = -1
+
+  if ( bb(1) == 0 ) then
+    il = 1 + gsize
+  else
+    dd(1:5,1) = q(1:5,1)
+    imin(1) = 1; imax(1) = 5
+
+    dd(1:6,2) = q(1:6,2)
+    imin(2) = 1; imax(2) = 6
+
+    dd(1:6,3) = q(1:6,3)
+    imin(3) = 1; imax(3) = 6
+
+    dd(1:7,4) = q(1:7,4)
+    imin(4) = 1; imax(4) = 7
+
+    dd(1:8,5) = q(1:8,5)
+    imin(5) = 1; imax(5) = 8
+
+    dd(2:9,6) = q(2:9,6)
+    imin(6) = 2; imax(6) = 9
+
+    il = 7
+  end if
+  if ( bb(2) == 0 ) then
+    ir = nsize - gsize
+  else
+    dd(nsize-8:nsize-1,nsize-5) = -q(9:2:-1,6)
+    imin(nsize-5) = nsize-8; imax(nsize-5) = nsize-1
+
+    dd(nsize-7:nsize,nsize-4) = -q(8:1:-1,5)
+    imin(nsize-4) = nsize-7; imax(nsize-4) = nsize
+
+    dd(nsize-6:nsize,nsize-3) = -q(7:1:-1,4)
+    imin(nsize-3) = nsize-6; imax(nsize-3) = nsize
+
+    dd(nsize-5:nsize,nsize-2) = -q(6:1:-1,3)
+    imin(nsize-2) = nsize-5; imax(nsize-2) = nsize
+
+    dd(nsize-5:nsize,nsize-1) = -q(6:1:-1,2)
+    imin(nsize-1) = nsize-5; imax(nsize-1) = nsize
+
+    dd(nsize-4:nsize,nsize) = -q(5:1:-1,1)
+    imin(nsize) = nsize-4; imax(nsize) = nsize
+
+    ir = nsize - 6
+  end if
+  do i = il, ir
+    dd(i-3:i-1,i) = -a(3:1:-1); dd(i+1:i+3,i) = a(1:3)
+    imin(i) = i-3; imax(i) = i+3
+  end do
+end subroutine set_coeff_6_3