| 1 |
jmc |
1.51 |
C $Header: /u/gcmpack/MITgcm/model/src/cg2d.F,v 1.50 2008/01/08 23:59:39 jahn Exp $ |
| 2 |
adcroft |
1.33 |
C $Name: $ |
| 3 |
cnh |
1.1 |
|
| 4 |
cnh |
1.16 |
#include "CPP_OPTIONS.h" |
| 5 |
mlosch |
1.49 |
#ifdef TARGET_NEC_SX |
| 6 |
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C set a sensible default for the outer loop unrolling parameter that can |
| 7 |
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C be overriden in the Makefile with the DEFINES macro or in CPP_OPTIONS.h |
| 8 |
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#ifndef CG2D_OUTERLOOPITERS |
| 9 |
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# define CG2D_OUTERLOOPITERS 10 |
| 10 |
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#endif |
| 11 |
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#endif /* TARGET_NEC_SX */ |
| 12 |
cnh |
1.1 |
|
| 13 |
cnh |
1.34 |
CBOP |
| 14 |
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C !ROUTINE: CG2D |
| 15 |
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C !INTERFACE: |
| 16 |
jmc |
1.45 |
SUBROUTINE CG2D( |
| 17 |
cnh |
1.14 |
I cg2d_b, |
| 18 |
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U cg2d_x, |
| 19 |
adcroft |
1.33 |
O firstResidual, |
| 20 |
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O lastResidual, |
| 21 |
adcroft |
1.30 |
U numIters, |
| 22 |
cnh |
1.1 |
I myThid ) |
| 23 |
cnh |
1.34 |
C !DESCRIPTION: \bv |
| 24 |
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C *==========================================================* |
| 25 |
jmc |
1.45 |
C | SUBROUTINE CG2D |
| 26 |
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C | o Two-dimensional grid problem conjugate-gradient |
| 27 |
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C | inverter (with preconditioner). |
| 28 |
cnh |
1.34 |
C *==========================================================* |
| 29 |
jmc |
1.45 |
C | Con. grad is an iterative procedure for solving Ax = b. |
| 30 |
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C | It requires the A be symmetric. |
| 31 |
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C | This implementation assumes A is a five-diagonal |
| 32 |
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C | matrix of the form that arises in the discrete |
| 33 |
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C | representation of the del^2 operator in a |
| 34 |
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C | two-dimensional space. |
| 35 |
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C | Notes: |
| 36 |
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C | ====== |
| 37 |
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C | This implementation can support shared-memory |
| 38 |
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C | multi-threaded execution. In order to do this COMMON |
| 39 |
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C | blocks are used for many of the arrays - even ones that |
| 40 |
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C | are only used for intermedaite results. This design is |
| 41 |
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C | OK if you want to all the threads to collaborate on |
| 42 |
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C | solving the same problem. On the other hand if you want |
| 43 |
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C | the threads to solve several different problems |
| 44 |
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C | concurrently this implementation will not work. |
| 45 |
cnh |
1.34 |
C *==========================================================* |
| 46 |
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C \ev |
| 47 |
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| 48 |
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C !USES: |
| 49 |
adcroft |
1.18 |
IMPLICIT NONE |
| 50 |
cnh |
1.1 |
C === Global data === |
| 51 |
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#include "SIZE.h" |
| 52 |
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#include "EEPARAMS.h" |
| 53 |
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#include "PARAMS.h" |
| 54 |
jmc |
1.45 |
#include "CG2D.h" |
| 55 |
jmc |
1.46 |
c#include "GRID.h" |
| 56 |
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c#include "SURFACE.h" |
| 57 |
cnh |
1.1 |
|
| 58 |
cnh |
1.34 |
C !INPUT/OUTPUT PARAMETERS: |
| 59 |
cnh |
1.1 |
C === Routine arguments === |
| 60 |
jmc |
1.45 |
C myThid :: Thread on which I am working. |
| 61 |
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C cg2d_b :: The source term or "right hand side" |
| 62 |
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C cg2d_x :: The solution |
| 63 |
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C firstResidual :: the initial residual before any iterations |
| 64 |
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C lastResidual :: the actual residual reached |
| 65 |
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C numIters :: Entry: the maximum number of iterations allowed |
| 66 |
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C Exit: the actual number of iterations used |
| 67 |
adcroft |
1.30 |
_RL cg2d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 68 |
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_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 69 |
adcroft |
1.33 |
_RL firstResidual |
| 70 |
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_RL lastResidual |
| 71 |
adcroft |
1.30 |
INTEGER numIters |
| 72 |
cnh |
1.1 |
INTEGER myThid |
| 73 |
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| 74 |
cnh |
1.34 |
C !LOCAL VARIABLES: |
| 75 |
cnh |
1.1 |
C === Local variables ==== |
| 76 |
jmc |
1.45 |
C actualIts :: Number of iterations taken |
| 77 |
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C actualResidual :: residual |
| 78 |
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C bi, bj :: Block index in X and Y. |
| 79 |
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C eta_qrN :: Used in computing search directions |
| 80 |
jmc |
1.28 |
C eta_qrNM1 suffix N and NM1 denote current and |
| 81 |
cnh |
1.1 |
C cgBeta previous iterations respectively. |
| 82 |
jmc |
1.45 |
C alpha |
| 83 |
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C sumRHS :: Sum of right-hand-side. Sometimes this is a |
| 84 |
cnh |
1.1 |
C useful debuggin/trouble shooting diagnostic. |
| 85 |
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C For neumann problems sumRHS needs to be ~0. |
| 86 |
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C or they converge at a non-zero residual. |
| 87 |
jmc |
1.45 |
C err :: Measure of residual of Ax - b, usually the norm. |
| 88 |
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C I, J, it2d :: Loop counters ( it2d counts CG iterations ) |
| 89 |
cnh |
1.1 |
INTEGER actualIts |
| 90 |
adcroft |
1.33 |
_RL actualResidual |
| 91 |
jmc |
1.45 |
INTEGER bi, bj |
| 92 |
cnh |
1.1 |
INTEGER I, J, it2d |
| 93 |
jmc |
1.46 |
c INTEGER ks |
| 94 |
jmc |
1.48 |
_RL err, errTile(nSx,nSy) |
| 95 |
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_RL eta_qrN,eta_qrNtile(nSx,nSy) |
| 96 |
jmc |
1.28 |
_RL eta_qrNM1 |
| 97 |
cnh |
1.14 |
_RL cgBeta |
| 98 |
jmc |
1.48 |
_RL alpha, alphaTile(nSx,nSy) |
| 99 |
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_RL sumRHS, sumRHStile(nSx,nSy) |
| 100 |
cnh |
1.14 |
_RL rhsMax |
| 101 |
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_RL rhsNorm |
| 102 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 103 |
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COMMON /CG2D_SINGLECPU_BUF/ localBuf |
| 104 |
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_RL localBuf(1:sNx,1:sNy,nSx,nSy) |
| 105 |
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#endif |
| 106 |
jmc |
1.47 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 107 |
cnh |
1.34 |
CEOP |
| 108 |
cnh |
1.13 |
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| 109 |
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| 110 |
cnh |
1.12 |
CcnhDebugStarts |
| 111 |
adcroft |
1.24 |
C CHARACTER*(MAX_LEN_FNAM) suff |
| 112 |
cnh |
1.12 |
CcnhDebugEnds |
| 113 |
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| 114 |
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| 115 |
cnh |
1.1 |
C-- Initialise inverter |
| 116 |
jmc |
1.28 |
eta_qrNM1 = 1. _d 0 |
| 117 |
cnh |
1.1 |
|
| 118 |
cnh |
1.10 |
CcnhDebugStarts |
| 119 |
jmc |
1.51 |
C _EXCH_XY_RL( cg2d_b, myThid ) |
| 120 |
cnh |
1.11 |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.0 CG2D_B' , 1, myThid ) |
| 121 |
cnh |
1.12 |
C suff = 'unnormalised' |
| 122 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
| 123 |
cnh |
1.14 |
C STOP |
| 124 |
cnh |
1.10 |
CcnhDebugEnds |
| 125 |
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| 126 |
cnh |
1.1 |
C-- Normalise RHS |
| 127 |
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rhsMax = 0. _d 0 |
| 128 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 129 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 130 |
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DO J=1,sNy |
| 131 |
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DO I=1,sNx |
| 132 |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*cg2dNorm |
| 133 |
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rhsMax = MAX(ABS(cg2d_b(I,J,bi,bj)),rhsMax) |
| 134 |
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ENDDO |
| 135 |
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ENDDO |
| 136 |
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ENDDO |
| 137 |
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ENDDO |
| 138 |
adcroft |
1.33 |
|
| 139 |
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IF (cg2dNormaliseRHS) THEN |
| 140 |
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C- Normalise RHS : |
| 141 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
| 142 |
jmc |
1.51 |
C _GLOBAL_MAX_RL( rhsMax, myThid ) |
| 143 |
adcroft |
1.25 |
rhsMax=1. |
| 144 |
adcroft |
1.23 |
#else |
| 145 |
jmc |
1.51 |
_GLOBAL_MAX_RL( rhsMax, myThid ) |
| 146 |
adcroft |
1.23 |
#endif |
| 147 |
cnh |
1.1 |
rhsNorm = 1. _d 0 |
| 148 |
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IF ( rhsMax .NE. 0. ) rhsNorm = 1. _d 0 / rhsMax |
| 149 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 150 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 151 |
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DO J=1,sNy |
| 152 |
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DO I=1,sNx |
| 153 |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*rhsNorm |
| 154 |
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cg2d_x(I,J,bi,bj) = cg2d_x(I,J,bi,bj)*rhsNorm |
| 155 |
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ENDDO |
| 156 |
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ENDDO |
| 157 |
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ENDDO |
| 158 |
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ENDDO |
| 159 |
adcroft |
1.33 |
C- end Normalise RHS |
| 160 |
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ENDIF |
| 161 |
cnh |
1.1 |
|
| 162 |
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C-- Update overlaps |
| 163 |
jmc |
1.51 |
_EXCH_XY_RL( cg2d_b, myThid ) |
| 164 |
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_EXCH_XY_RL( cg2d_x, myThid ) |
| 165 |
cnh |
1.1 |
CcnhDebugStarts |
| 166 |
cnh |
1.11 |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.1 CG2D_B' , 1, myThid ) |
| 167 |
cnh |
1.12 |
C suff = 'normalised' |
| 168 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
| 169 |
cnh |
1.1 |
CcnhDebugEnds |
| 170 |
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| 171 |
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C-- Initial residual calculation |
| 172 |
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err = 0. _d 0 |
| 173 |
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sumRHS = 0. _d 0 |
| 174 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 175 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 176 |
jmc |
1.48 |
sumRHStile(bi,bj) = 0. _d 0 |
| 177 |
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errTile(bi,bj) = 0. _d 0 |
| 178 |
mlosch |
1.49 |
#ifdef TARGET_NEC_SX |
| 179 |
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!CDIR OUTERUNROLL=CG2D_OUTERLOOPITERS |
| 180 |
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#endif /* TARGET_NEC_SX */ |
| 181 |
cnh |
1.1 |
DO J=1,sNy |
| 182 |
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DO I=1,sNx |
| 183 |
jmc |
1.46 |
c ks = ksurfC(I,J,bi,bj) |
| 184 |
cnh |
1.1 |
cg2d_s(I,J,bi,bj) = 0. |
| 185 |
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cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
| 186 |
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& (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
| 187 |
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& +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
| 188 |
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& +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
| 189 |
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& +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
| 190 |
jmc |
1.46 |
& +aC2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 191 |
cnh |
1.4 |
& ) |
| 192 |
jmc |
1.46 |
c & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 193 |
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c & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 194 |
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c & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 195 |
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c & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 196 |
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c & -freeSurfFac*_rA(i,j,bi,bj)*deepFac2F(ks)*recip_Bo(i,j,bi,bj) |
| 197 |
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c & *cg2d_x(I ,J ,bi,bj) |
| 198 |
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c & /deltaTMom/deltaTfreesurf*cg2dNorm |
| 199 |
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c & ) |
| 200 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 201 |
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localBuf(I,J,bi,bj) = cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 202 |
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#else |
| 203 |
jmc |
1.48 |
errTile(bi,bj) = errTile(bi,bj) |
| 204 |
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& + cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 205 |
|
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sumRHStile(bi,bj) = sumRHStile(bi,bj) + cg2d_b(I,J,bi,bj) |
| 206 |
jahn |
1.50 |
#endif |
| 207 |
cnh |
1.1 |
ENDDO |
| 208 |
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ENDDO |
| 209 |
jmc |
1.48 |
c sumRHS = sumRHS + sumRHStile(bi,bj) |
| 210 |
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c err = err + errTile(bi,bj) |
| 211 |
cnh |
1.1 |
ENDDO |
| 212 |
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ENDDO |
| 213 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
| 214 |
|
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CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
| 215 |
|
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#else |
| 216 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_r, myThid ) |
| 217 |
adcroft |
1.23 |
#endif |
| 218 |
|
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#ifdef LETS_MAKE_JAM |
| 219 |
|
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
| 220 |
|
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#else |
| 221 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_s, myThid ) |
| 222 |
adcroft |
1.23 |
#endif |
| 223 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 224 |
|
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CALL GLOBAL_SUM_SINGLECPU_RL(localBuf, err, myThid) |
| 225 |
|
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DO bj=myByLo(myThid),myByHi(myThid) |
| 226 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 227 |
|
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DO J=1,sNy |
| 228 |
|
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DO I=1,sNx |
| 229 |
|
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localBuf(I,J,bi,bj) = cg2d_b(I,J,bi,bj) |
| 230 |
|
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ENDDO |
| 231 |
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ENDDO |
| 232 |
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ENDDO |
| 233 |
|
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ENDDO |
| 234 |
|
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CALL GLOBAL_SUM_SINGLECPU_RL(localBuf, sumRHS, myThid) |
| 235 |
|
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#else |
| 236 |
jmc |
1.51 |
c _GLOBAL_SUM_RL( sumRHS, myThid ) |
| 237 |
|
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c _GLOBAL_SUM_RL( err , myThid ) |
| 238 |
jmc |
1.48 |
CALL GLOBAL_SUM_TILE_RL( sumRHStile, sumRHS, myThid ) |
| 239 |
|
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CALL GLOBAL_SUM_TILE_RL( errTile, err, myThid ) |
| 240 |
jahn |
1.50 |
#endif |
| 241 |
adcroft |
1.33 |
err = SQRT(err) |
| 242 |
|
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actualIts = 0 |
| 243 |
|
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actualResidual = err |
| 244 |
dimitri |
1.40 |
|
| 245 |
jmc |
1.39 |
IF ( debugLevel .GE. debLevZero ) THEN |
| 246 |
heimbach |
1.37 |
_BEGIN_MASTER( myThid ) |
| 247 |
jmc |
1.45 |
WRITE(standardmessageunit,'(A,1P2E22.14)') |
| 248 |
|
|
& ' cg2d: Sum(rhs),rhsMax = ', sumRHS,rhsMax |
| 249 |
edhill |
1.41 |
_END_MASTER( myThid ) |
| 250 |
heimbach |
1.37 |
ENDIF |
| 251 |
cnh |
1.1 |
C _BARRIER |
| 252 |
adcroft |
1.30 |
c _BEGIN_MASTER( myThid ) |
| 253 |
jmc |
1.45 |
c WRITE(standardmessageunit,'(A,I6,1PE30.14)') |
| 254 |
|
|
c & ' CG2D iters, err = ', |
| 255 |
adcroft |
1.30 |
c & actualIts, actualResidual |
| 256 |
edhill |
1.41 |
c _END_MASTER( myThid ) |
| 257 |
adcroft |
1.33 |
firstResidual=actualResidual |
| 258 |
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| 259 |
|
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IF ( err .LT. cg2dTolerance ) GOTO 11 |
| 260 |
cnh |
1.1 |
|
| 261 |
|
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
| 262 |
adcroft |
1.30 |
DO 10 it2d=1, numIters |
| 263 |
cnh |
1.1 |
|
| 264 |
|
|
CcnhDebugStarts |
| 265 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' residual = ', |
| 266 |
cnh |
1.14 |
C & actualResidual |
| 267 |
cnh |
1.1 |
CcnhDebugEnds |
| 268 |
|
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C-- Solve preconditioning equation and update |
| 269 |
|
|
C-- conjugate direction vector "s". |
| 270 |
jmc |
1.28 |
eta_qrN = 0. _d 0 |
| 271 |
cnh |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 272 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 273 |
jmc |
1.48 |
eta_qrNtile(bi,bj) = 0. _d 0 |
| 274 |
mlosch |
1.49 |
#ifdef TARGET_NEC_SX |
| 275 |
|
|
!CDIR OUTERUNROLL=CG2D_OUTERLOOPITERS |
| 276 |
|
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#endif /* TARGET_NEC_SX */ |
| 277 |
cnh |
1.1 |
DO J=1,sNy |
| 278 |
|
|
DO I=1,sNx |
| 279 |
jmc |
1.45 |
cg2d_q(I,J,bi,bj) = |
| 280 |
cnh |
1.3 |
& pC(I ,J ,bi,bj)*cg2d_r(I ,J ,bi,bj) |
| 281 |
|
|
& +pW(I ,J ,bi,bj)*cg2d_r(I-1,J ,bi,bj) |
| 282 |
|
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& +pW(I+1,J ,bi,bj)*cg2d_r(I+1,J ,bi,bj) |
| 283 |
|
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& +pS(I ,J ,bi,bj)*cg2d_r(I ,J-1,bi,bj) |
| 284 |
|
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& +pS(I ,J+1,bi,bj)*cg2d_r(I ,J+1,bi,bj) |
| 285 |
cnh |
1.4 |
CcnhDebugStarts |
| 286 |
|
|
C cg2d_q(I,J,bi,bj) = cg2d_r(I ,J ,bi,bj) |
| 287 |
|
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CcnhDebugEnds |
| 288 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 289 |
|
|
localBuf(I,J,bi,bj) = |
| 290 |
|
|
& cg2d_q(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 291 |
|
|
#else |
| 292 |
jmc |
1.48 |
eta_qrNtile(bi,bj) = eta_qrNtile(bi,bj) |
| 293 |
cnh |
1.1 |
& +cg2d_q(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 294 |
jahn |
1.50 |
#endif |
| 295 |
cnh |
1.1 |
ENDDO |
| 296 |
|
|
ENDDO |
| 297 |
jmc |
1.48 |
c eta_qrN = eta_qrN + eta_qrNtile(bi,bj) |
| 298 |
cnh |
1.1 |
ENDDO |
| 299 |
|
|
ENDDO |
| 300 |
|
|
|
| 301 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 302 |
|
|
CALL GLOBAL_SUM_SINGLECPU_RL( localBuf,eta_qrN,myThid ) |
| 303 |
|
|
#else |
| 304 |
jmc |
1.51 |
c _GLOBAL_SUM_RL(eta_qrN, myThid) |
| 305 |
jmc |
1.48 |
CALL GLOBAL_SUM_TILE_RL( eta_qrNtile,eta_qrN,myThid ) |
| 306 |
jahn |
1.50 |
#endif |
| 307 |
cnh |
1.1 |
CcnhDebugStarts |
| 308 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' eta_qrN = ',eta_qrN |
| 309 |
cnh |
1.1 |
CcnhDebugEnds |
| 310 |
jmc |
1.28 |
cgBeta = eta_qrN/eta_qrNM1 |
| 311 |
cnh |
1.1 |
CcnhDebugStarts |
| 312 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' beta = ',cgBeta |
| 313 |
cnh |
1.1 |
CcnhDebugEnds |
| 314 |
jmc |
1.28 |
eta_qrNM1 = eta_qrN |
| 315 |
cnh |
1.1 |
|
| 316 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 317 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 318 |
|
|
DO J=1,sNy |
| 319 |
|
|
DO I=1,sNx |
| 320 |
cnh |
1.14 |
cg2d_s(I,J,bi,bj) = cg2d_q(I,J,bi,bj) |
| 321 |
|
|
& + cgBeta*cg2d_s(I,J,bi,bj) |
| 322 |
cnh |
1.1 |
ENDDO |
| 323 |
|
|
ENDDO |
| 324 |
|
|
ENDDO |
| 325 |
|
|
ENDDO |
| 326 |
|
|
|
| 327 |
|
|
C-- Do exchanges that require messages i.e. between |
| 328 |
|
|
C-- processes. |
| 329 |
jmc |
1.51 |
C _EXCH_XY_RL( cg2d_s, myThid ) |
| 330 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
| 331 |
|
|
CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
| 332 |
|
|
#else |
| 333 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_s, myThid ) |
| 334 |
adcroft |
1.23 |
#endif |
| 335 |
cnh |
1.1 |
|
| 336 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
| 337 |
|
|
C== q = A.s |
| 338 |
|
|
alpha = 0. _d 0 |
| 339 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 340 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 341 |
jmc |
1.48 |
alphaTile(bi,bj) = 0. _d 0 |
| 342 |
mlosch |
1.49 |
#ifdef TARGET_NEC_SX |
| 343 |
|
|
!CDIR OUTERUNROLL=CG2D_OUTERLOOPITERS |
| 344 |
|
|
#endif /* TARGET_NEC_SX */ |
| 345 |
cnh |
1.1 |
DO J=1,sNy |
| 346 |
|
|
DO I=1,sNx |
| 347 |
jmc |
1.46 |
c ks = ksurfC(I,J,bi,bj) |
| 348 |
jmc |
1.45 |
cg2d_q(I,J,bi,bj) = |
| 349 |
cnh |
1.1 |
& aW2d(I ,J ,bi,bj)*cg2d_s(I-1,J ,bi,bj) |
| 350 |
|
|
& +aW2d(I+1,J ,bi,bj)*cg2d_s(I+1,J ,bi,bj) |
| 351 |
|
|
& +aS2d(I ,J ,bi,bj)*cg2d_s(I ,J-1,bi,bj) |
| 352 |
|
|
& +aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J+1,bi,bj) |
| 353 |
jmc |
1.46 |
& +aC2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 354 |
|
|
c & -aW2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 355 |
|
|
c & -aW2d(I+1,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 356 |
|
|
c & -aS2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 357 |
|
|
c & -aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 358 |
|
|
c & -freeSurfFac*_rA(i,j,bi,bj)*deepFac2F(ks)*recip_Bo(i,j,bi,bj) |
| 359 |
|
|
c & *cg2d_s(I ,J ,bi,bj) |
| 360 |
|
|
c & /deltaTMom/deltaTfreesurf*cg2dNorm |
| 361 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 362 |
|
|
localBuf(I,J,bi,bj) = cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
| 363 |
|
|
#else |
| 364 |
jmc |
1.48 |
alphaTile(bi,bj) = alphaTile(bi,bj) |
| 365 |
|
|
& + cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
| 366 |
jahn |
1.50 |
#endif |
| 367 |
cnh |
1.1 |
ENDDO |
| 368 |
|
|
ENDDO |
| 369 |
jmc |
1.48 |
c alpha = alpha + alphaTile(bi,bj) |
| 370 |
cnh |
1.1 |
ENDDO |
| 371 |
|
|
ENDDO |
| 372 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 373 |
|
|
CALL GLOBAL_SUM_SINGLECPU_RL(localBuf, alpha, myThid) |
| 374 |
|
|
#else |
| 375 |
jmc |
1.51 |
c _GLOBAL_SUM_RL(alpha,myThid) |
| 376 |
jmc |
1.48 |
CALL GLOBAL_SUM_TILE_RL( alphaTile, alpha, myThid ) |
| 377 |
jahn |
1.50 |
#endif |
| 378 |
cnh |
1.1 |
CcnhDebugStarts |
| 379 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' SUM(s*q)= ',alpha |
| 380 |
cnh |
1.1 |
CcnhDebugEnds |
| 381 |
jmc |
1.28 |
alpha = eta_qrN/alpha |
| 382 |
cnh |
1.1 |
CcnhDebugStarts |
| 383 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' alpha= ',alpha |
| 384 |
cnh |
1.1 |
CcnhDebugEnds |
| 385 |
jmc |
1.45 |
|
| 386 |
cnh |
1.1 |
C== Update solution and residual vectors |
| 387 |
|
|
C Now compute "interior" points. |
| 388 |
|
|
err = 0. _d 0 |
| 389 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 390 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 391 |
jmc |
1.48 |
errTile(bi,bj) = 0. _d 0 |
| 392 |
cnh |
1.1 |
DO J=1,sNy |
| 393 |
|
|
DO I=1,sNx |
| 394 |
|
|
cg2d_x(I,J,bi,bj)=cg2d_x(I,J,bi,bj)+alpha*cg2d_s(I,J,bi,bj) |
| 395 |
|
|
cg2d_r(I,J,bi,bj)=cg2d_r(I,J,bi,bj)-alpha*cg2d_q(I,J,bi,bj) |
| 396 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 397 |
|
|
localBuf(I,J,bi,bj) = cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 398 |
|
|
#else |
| 399 |
jmc |
1.48 |
errTile(bi,bj) = errTile(bi,bj) |
| 400 |
|
|
& + cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 401 |
jahn |
1.50 |
#endif |
| 402 |
cnh |
1.1 |
ENDDO |
| 403 |
|
|
ENDDO |
| 404 |
jmc |
1.48 |
c err = err + errTile(bi,bj) |
| 405 |
cnh |
1.1 |
ENDDO |
| 406 |
|
|
ENDDO |
| 407 |
|
|
|
| 408 |
jahn |
1.50 |
#ifdef CG2D_SINGLECPU_SUM |
| 409 |
|
|
CALL GLOBAL_SUM_SINGLECPU_RL(localBuf, err, myThid) |
| 410 |
|
|
#else |
| 411 |
jmc |
1.51 |
c _GLOBAL_SUM_RL( err , myThid ) |
| 412 |
jmc |
1.48 |
CALL GLOBAL_SUM_TILE_RL( errTile, err, myThid ) |
| 413 |
jahn |
1.50 |
#endif |
| 414 |
cnh |
1.1 |
err = SQRT(err) |
| 415 |
|
|
actualIts = it2d |
| 416 |
|
|
actualResidual = err |
| 417 |
jmc |
1.47 |
IF ( debugLevel.GT.debLevB ) THEN |
| 418 |
|
|
c IF ( DIFFERENT_MULTIPLE(monitorFreq,myTime,deltaTClock) |
| 419 |
|
|
c & ) THEN |
| 420 |
|
|
_BEGIN_MASTER( myThid ) |
| 421 |
|
|
WRITE(msgBuf,'(A,I6,A,1PE21.14)') |
| 422 |
|
|
& ' cg2d: iter=', actualIts, ' ; resid.= ', actualResidual |
| 423 |
|
|
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 424 |
|
|
_END_MASTER( myThid ) |
| 425 |
|
|
c ENDIF |
| 426 |
|
|
ENDIF |
| 427 |
adcroft |
1.33 |
IF ( err .LT. cg2dTolerance ) GOTO 11 |
| 428 |
jmc |
1.47 |
|
| 429 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
| 430 |
|
|
CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
| 431 |
|
|
#else |
| 432 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_r, myThid ) |
| 433 |
adcroft |
1.23 |
#endif |
| 434 |
cnh |
1.13 |
|
| 435 |
cnh |
1.1 |
10 CONTINUE |
| 436 |
|
|
11 CONTINUE |
| 437 |
|
|
|
| 438 |
adcroft |
1.33 |
IF (cg2dNormaliseRHS) THEN |
| 439 |
cnh |
1.1 |
C-- Un-normalise the answer |
| 440 |
adcroft |
1.33 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 441 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 442 |
|
|
DO J=1,sNy |
| 443 |
|
|
DO I=1,sNx |
| 444 |
|
|
cg2d_x(I ,J ,bi,bj) = cg2d_x(I ,J ,bi,bj)/rhsNorm |
| 445 |
|
|
ENDDO |
| 446 |
|
|
ENDDO |
| 447 |
cnh |
1.1 |
ENDDO |
| 448 |
|
|
ENDDO |
| 449 |
adcroft |
1.33 |
ENDIF |
| 450 |
cnh |
1.1 |
|
| 451 |
adcroft |
1.22 |
C The following exchange was moved up to solve_for_pressure |
| 452 |
|
|
C for compatibility with TAMC. |
| 453 |
jmc |
1.51 |
C _EXCH_XY_RL(cg2d_x, myThid ) |
| 454 |
adcroft |
1.30 |
c _BEGIN_MASTER( myThid ) |
| 455 |
jmc |
1.45 |
c WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
| 456 |
adcroft |
1.30 |
c & actualIts, actualResidual |
| 457 |
edhill |
1.41 |
c _END_MASTER( myThid ) |
| 458 |
adcroft |
1.30 |
|
| 459 |
|
|
C-- Return parameters to caller |
| 460 |
adcroft |
1.33 |
lastResidual=actualResidual |
| 461 |
adcroft |
1.30 |
numIters=actualIts |
| 462 |
cnh |
1.1 |
|
| 463 |
|
|
CcnhDebugStarts |
| 464 |
cnh |
1.7 |
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
| 465 |
cnh |
1.1 |
C err = 0. _d 0 |
| 466 |
|
|
C DO bj=myByLo(myThid),myByHi(myThid) |
| 467 |
|
|
C DO bi=myBxLo(myThid),myBxHi(myThid) |
| 468 |
|
|
C DO J=1,sNy |
| 469 |
|
|
C DO I=1,sNx |
| 470 |
|
|
C cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
| 471 |
|
|
C & (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
| 472 |
|
|
C & +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
| 473 |
|
|
C & +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
| 474 |
|
|
C & +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
| 475 |
|
|
C & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 476 |
|
|
C & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 477 |
|
|
C & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 478 |
|
|
C & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj)) |
| 479 |
jmc |
1.45 |
C err = err + |
| 480 |
cnh |
1.1 |
C & cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 481 |
|
|
C ENDDO |
| 482 |
|
|
C ENDDO |
| 483 |
|
|
C ENDDO |
| 484 |
|
|
C ENDDO |
| 485 |
jmc |
1.51 |
C _GLOBAL_SUM_RL( err , myThid ) |
| 486 |
heimbach |
1.31 |
C write(*,*) 'cg2d: Ax - b = ',SQRT(err) |
| 487 |
cnh |
1.1 |
CcnhDebugEnds |
| 488 |
|
|
|
| 489 |
adcroft |
1.19 |
RETURN |
| 490 |
cnh |
1.1 |
END |
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