| 1 |
C $Header: $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "CPP_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: SOLVE_PENTADIAGONAL |
| 8 |
C !INTERFACE: |
| 9 |
SUBROUTINE SOLVE_PENTADIAGONAL( |
| 10 |
I iMin,iMax, jMin,jMax, |
| 11 |
U a5d, b5d, c5d, d5d, e5d, |
| 12 |
U y5d, |
| 13 |
O errCode, |
| 14 |
I bi, bj, myThid ) |
| 15 |
C !DESCRIPTION: \bv |
| 16 |
C *==========================================================* |
| 17 |
C | S/R SOLVE_PENTADIAGONAL |
| 18 |
C | o Solve a penta-diagonal system A*X=Y (dimension Nr) |
| 19 |
C *==========================================================* |
| 20 |
C | o Used to solve implicitly vertical advection & diffusion |
| 21 |
C *==========================================================* |
| 22 |
C \ev |
| 23 |
|
| 24 |
C !USES: |
| 25 |
IMPLICIT NONE |
| 26 |
C == Global data == |
| 27 |
#include "SIZE.h" |
| 28 |
#include "EEPARAMS.h" |
| 29 |
|
| 30 |
C !INPUT/OUTPUT PARAMETERS: |
| 31 |
C == Routine Arguments == |
| 32 |
C INPUT: |
| 33 |
C a5d :: 2nd lower diagonal of the pentadiagonal matrix |
| 34 |
C b5d :: 1rst lower diagonal of the pentadiagonal matrix |
| 35 |
C c5d :: main diagonal of the pentadiagonal matrix |
| 36 |
C d5d :: 1rst upper diagonal of the pentadiagonal matrix |
| 37 |
C e5d :: 2nd upper diagonal of the pentadiagonal matrix |
| 38 |
C y5d :: Y vector (R.H.S.); |
| 39 |
C OUTPUT: |
| 40 |
C y5d :: X = solution of A*X=Y |
| 41 |
C a5d,b5d,c5d,d5d,e5d :: modified to enable to find X' solution of |
| 42 |
C A*X'=Y' without solving the full system again |
| 43 |
C errCode :: > 0 if singular matrix |
| 44 |
INTEGER iMin,iMax,jMin,jMax |
| 45 |
_RL a5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 46 |
_RL b5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 47 |
_RL c5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 48 |
_RL d5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 49 |
_RL e5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 50 |
_RL y5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr,nSx,nSy) |
| 51 |
INTEGER errCode |
| 52 |
INTEGER bi, bj, myThid |
| 53 |
|
| 54 |
C !LOCAL VARIABLES: |
| 55 |
C == Local variables == |
| 56 |
INTEGER i,j,k |
| 57 |
CEOP |
| 58 |
|
| 59 |
errCode = 0 |
| 60 |
|
| 61 |
C-- forward sweep (starting from top) |
| 62 |
k = 1 |
| 63 |
DO j=jMin,jMax |
| 64 |
DO i=iMin,iMax |
| 65 |
IF ( c5d(i,j,k).NE.0. _d 0 ) THEN |
| 66 |
c5d(i,j,k) = 1. _d 0 / c5d(i,j,k) |
| 67 |
ELSE |
| 68 |
c5d(i,j,k) = 0. _d 0 |
| 69 |
errCode = 1 |
| 70 |
ENDIF |
| 71 |
ENDDO |
| 72 |
ENDDO |
| 73 |
|
| 74 |
k = 2 |
| 75 |
DO j=jMin,jMax |
| 76 |
DO i=iMin,iMax |
| 77 |
C-- [k] <- [k] - b_k/c_k-1 * [k-1] |
| 78 |
b5d(i,j,k) = b5d(i,j,k)*c5d(i,j,k-1) |
| 79 |
c5d(i,j,k) = c5d(i,j,k) - b5d(i,j,k)*d5d(i,j,k-1) |
| 80 |
d5d(i,j,k) = d5d(i,j,k) - b5d(i,j,k)*e5d(i,j,k-1) |
| 81 |
y5d(i,j,k,bi,bj) = y5d(i,j,k,bi,bj) |
| 82 |
& - b5d(i,j,k)*y5d(i,j,k-1,bi,bj) |
| 83 |
IF ( c5d(i,j,k).NE.0. _d 0 ) THEN |
| 84 |
c5d(i,j,k) = 1. _d 0 / c5d(i,j,k) |
| 85 |
ELSE |
| 86 |
c5d(i,j,k) = 0. _d 0 |
| 87 |
errCode = 1 |
| 88 |
ENDIF |
| 89 |
ENDDO |
| 90 |
ENDDO |
| 91 |
|
| 92 |
C-- Middle of forward sweep |
| 93 |
DO k=3,Nr |
| 94 |
DO j=jMin,jMax |
| 95 |
DO i=iMin,iMax |
| 96 |
C-- [k] <- [k] - a_k/c_k-2 * [k-2] |
| 97 |
a5d(i,j,k) = a5d(i,j,k)*c5d(i,j,k-2) |
| 98 |
b5d(i,j,k) = b5d(i,j,k) - a5d(i,j,k)*d5d(i,j,k-2) |
| 99 |
c5d(i,j,k) = c5d(i,j,k) - a5d(i,j,k)*e5d(i,j,k-2) |
| 100 |
C-- [k] <- [k] - b_k/c_k-1 * [k-1] |
| 101 |
b5d(i,j,k) = b5d(i,j,k)*c5d(i,j,k-1) |
| 102 |
c5d(i,j,k) = c5d(i,j,k) - b5d(i,j,k)*d5d(i,j,k-1) |
| 103 |
d5d(i,j,k) = d5d(i,j,k) - b5d(i,j,k)*e5d(i,j,k-1) |
| 104 |
y5d(i,j,k,bi,bj) = y5d(i,j,k,bi,bj) |
| 105 |
& - b5d(i,j,k)*y5d(i,j,k-1,bi,bj) |
| 106 |
& - a5d(i,j,k)*y5d(i,j,k-2,bi,bj) |
| 107 |
IF ( c5d(i,j,k).NE.0. _d 0 ) THEN |
| 108 |
c5d(i,j,k) = 1. _d 0 / c5d(i,j,k) |
| 109 |
ELSE |
| 110 |
c5d(i,j,k) = 0. _d 0 |
| 111 |
errCode = 1 |
| 112 |
ENDIF |
| 113 |
ENDDO |
| 114 |
ENDDO |
| 115 |
ENDDO |
| 116 |
|
| 117 |
C-- Backward sweep (starting from bottom) |
| 118 |
k = Nr |
| 119 |
DO j=jMin,jMax |
| 120 |
DO i=iMin,iMax |
| 121 |
y5d(i,j,k,bi,bj) = y5d(i,j,k,bi,bj)*c5d(i,j,k) |
| 122 |
ENDDO |
| 123 |
ENDDO |
| 124 |
k = Nr-1 |
| 125 |
DO j=jMin,jMax |
| 126 |
DO i=iMin,iMax |
| 127 |
y5d(i,j,k,bi,bj) = ( y5d(i,j,k,bi,bj) |
| 128 |
& - d5d(i,j,k)*y5d(i,j,k+1,bi,bj) |
| 129 |
& )*c5d(i,j,k) |
| 130 |
ENDDO |
| 131 |
ENDDO |
| 132 |
DO k=Nr-2,1,-1 |
| 133 |
DO j=jMin,jMax |
| 134 |
DO i=iMin,iMax |
| 135 |
y5d(i,j,k,bi,bj) = ( y5d(i,j,k,bi,bj) |
| 136 |
& - d5d(i,j,k)*y5d(i,j,k+1,bi,bj) |
| 137 |
& - e5d(i,j,k)*y5d(i,j,k+2,bi,bj) |
| 138 |
& )*c5d(i,j,k) |
| 139 |
ENDDO |
| 140 |
ENDDO |
| 141 |
ENDDO |
| 142 |
|
| 143 |
RETURN |
| 144 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph