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, 162 insertions, 0 deletions

diff --git a/src/Coefficients_6_5.F90 b/src/Coefficients_6_5.F90
new file mode 100644
index 0000000..361ab5b
--- /dev/null
+++ b/src/Coefficients_6_5.F90
@@ -0,0 +1,162 @@
+#include "cctk.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+subroutine set_coeff_6_5 ( 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(10,7), 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) = -137.0_wp/60.0_wp; q(2,1) = 5.0_wp; q(3,1) = -5.0_wp;
+    q(4,1) = 10.0_wp/3.0_wp; q(5,1) = -5.0_wp/4.0_wp; q(6,1) = 1.0_wp/5.0_wp;
+    q(7,1) = zero; q(8,1) = zero; q(9,1) = zero; q(10,1) = zero;
+
+    q(1,2) = -0.3209098489859668118347_wp
+    q(2,2) = -0.359441670715467075894_wp
+    q(3,2) = 0.195756852998105503889_wp
+    q(4,2) = 1.394685510250317033169_wp
+    q(5,2) = -1.448965775497476572821_wp
+    q(6,2) = 0.6519476244467816674835_wp
+    q(7,2) = -0.1115052611983591304249_wp
+    q(8,2) = -0.00156743129793461356831_wp
+    q(9,2) = zero; q(10,2) = zero
+
+    q(1,3) = 0.0980796259621024870281_wp
+    q(2,3) = -0.784752101846956387607_wp
+    q(3,3) = 0.364206221878666751300_wp
+    q(4,3) = 0.102097753636344358379_wp
+    q(5,3) = 0.377167650934576412896_wp
+    q(6,3) = -0.173241400242683302020_wp
+    q(7,3) = 0.0062120424243610783650_wp
+    q(8,3) = 0.01153111791917461507898_wp
+    q(9,3) = -0.00130091066558601341956_wp
+    q(10,3) = zero
+
+    q(1,4) = 0.0771947815148234674634_wp
+    q(2,4) = -0.4124719432622107102831_wp
+    q(3,4) = 0.654798717867622763906_wp
+    q(4,4) = -1.873474657556531216053_wp
+    q(5,4) = 2.161961221935152129759_wp
+    q(6,4) = -0.729147814207596325277_wp
+    q(7,4) = 0.1292509053479867634674_wp
+    q(8,4) = -0.01092898521375837831427_wp
+    q(9,4) = 0.00316983426828354261009_wp
+    q(10,4) = -0.000352060693772037278516_wp
+
+    q(1,5) = -0.01135836398682271847110_wp
+    q(2,5) = 0.0114974985688122284189_wp
+    q(3,5) = 0.228765565489867047381_wp
+    q(4,5) = -1.179122428698534075609_wp
+    q(5,5) = 0.774618306056840861215_wp
+    q(6,5) = 0.016612403904600041087_wp
+    q(7,5) = 0.2399304273448163041220_wp
+    q(8,5) = -0.0959180672407791626759_wp
+    q(9,5) = 0.01612460763754670343830_wp
+    q(10,5) = -0.001149949076347228906108_wp
+
+    q(1,6) = -0.01912046962023373131259_wp
+    q(2,6) = 0.1569245474161812198493_wp
+    q(3,6) = -0.567250839387340928718_wp
+    q(4,6) = 1.230411310316952671353_wp
+    q(5,6) = -2.048795717924254691221_wp
+    q(6,6) = 0.982715833107347313532_wp
+    q(7,6) = 0.2876584784911885215053_wp
+    q(8,6) = -0.0207657038198929292487_wp
+    q(9,6) = -0.00335290957957120811713_wp
+    q(10,6) = 0.001575470999623762377395_wp
+
+    q(1,7) = -0.0076072322555736921424_wp 
+    q(2,7) = 0.034503414345314189270_wp
+    q(3,7) = -0.044377233426986476366_wp
+    q(4,7) = -0.049408595803628143797_wp
+    q(5,7) = 0.304693537653175477283_wp
+    q(6,7) = -0.935863321236636595622_wp
+    q(7,7) = 0.111375967229143365899_wp 
+    q(8,7) = 0.7149322477536284813995_wp
+    q(9,7) = -0.1444768161656941519630_wp
+    q(10,7) = 0.01622803190725754603783_wp
+
+    first = .false.
+  end if
+
+  dd = zero
+  imin = 0
+  imax = -1
+
+  if ( bb(1) == 0 ) then
+    il = 1 + gsize
+  else
+    dd(1:6,1) = q(1:6,1)
+    imin(1) = 1; imax(1) = 6
+
+    dd(1:8,2) = q(1:8,2)
+    imin(2) = 1; imax(2) = 8
+
+    dd(1:9,3) = q(1:9,3)
+    imin(3) = 1; imax(3) = 9
+
+    dd(1:10,4) = q(1:10,4)
+    imin(4) = 1; imax(4) = 10
+
+    dd(1:10,5) = q(1:10,5)
+    imin(5) = 1; imax(5) = 10
+
+    dd(1:10,6) = q(1:10,6)
+    imin(6) = 1; imax(6) = 10
+
+    dd(1:10,7) = q(1:10,7)
+    imin(7) = 1; imax(7) = 10
+
+    il = 8
+  end if
+  if ( bb(2) == 0 ) then
+    ir = nsize - gsize
+  else
+    dd(nsize-9:nsize,nsize-6) = -q(10:1:-1,7)
+    imin(nsize-6) = nsize-9; imax(nsize-6) = nsize
+
+    dd(nsize-9:nsize,nsize-5) = -q(10:1:-1,6)
+    imin(nsize-5) = nsize-9; imax(nsize-5) = nsize
+
+    dd(nsize-9:nsize,nsize-4) = -q(10:1:-1,5)
+    imin(nsize-4) = nsize-9; imax(nsize-4) = nsize
+
+    dd(nsize-9:nsize,nsize-3) = -q(10:1:-1,4)
+    imin(nsize-3) = nsize-9; imax(nsize-3) = nsize
+
+    dd(nsize-8:nsize,nsize-2) = -q(9:1:-1,3)
+    imin(nsize-2) = nsize-8; imax(nsize-2) = nsize
+
+    dd(nsize-7:nsize,nsize-1) = -q(8:1:-1,2)
+    imin(nsize-1) = nsize-7; imax(nsize-1) = nsize
+
+    dd(nsize-5:nsize,nsize) = -q(6:1:-1,1)
+    imin(nsize) = nsize-5; imax(nsize) = nsize
+
+    ir = nsize - 7
+  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_5