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C $Header$ |
C $Header$ |
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C $Name$ |
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4 |
#include "CPP_EEOPTIONS.h" |
#include "CPP_OPTIONS.h" |
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SUBROUTINE CG2D( |
SUBROUTINE CG2D( |
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I cg2d_b, |
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U cg2d_x, |
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U tolerance, |
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O residual, |
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U numIters, |
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I myThid ) |
I myThid ) |
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C /==========================================================\ |
C /==========================================================\ |
14 |
C | SUBROUTINE CG2D | |
C | SUBROUTINE CG2D | |
32 |
C | the threads to solve several different problems | |
C | the threads to solve several different problems | |
33 |
C | concurrently this implementation will not work. | |
C | concurrently this implementation will not work. | |
34 |
C \==========================================================/ |
C \==========================================================/ |
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IMPLICIT NONE |
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37 |
C === Global data === |
C === Global data === |
38 |
#include "SIZE.h" |
#include "SIZE.h" |
39 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
40 |
#include "PARAMS.h" |
#include "PARAMS.h" |
41 |
#include "GRID.h" |
#include "GRID.h" |
42 |
#include "CG2D.h" |
#include "CG2D_INTERNAL.h" |
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#include "SURFACE.h" |
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45 |
C === Routine arguments === |
C === Routine arguments === |
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C myThid - Thread on which I am working. |
C myThid - Thread on which I am working. |
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C cg2d_b - The source term or "right hand side" |
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C cg2d_x - The solution |
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C tolerance - Entry: the tolerance of accuracy to solve to |
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C Exit: the initial residual before any iterations |
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C residual - Exit: the actual residual reached |
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C numIters - Entry: the maximum number of iterations allowed |
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C Exit: the actual number of iterations used |
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_RL cg2d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL tolerance |
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_RL residual |
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INTEGER numIters |
59 |
INTEGER myThid |
INTEGER myThid |
60 |
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61 |
C === Local variables ==== |
C === Local variables ==== |
63 |
C actualResidual - residual |
C actualResidual - residual |
64 |
C bi - Block index in X and Y. |
C bi - Block index in X and Y. |
65 |
C bj |
C bj |
66 |
C etaN - Used in computing search directions |
C eta_qrN - Used in computing search directions |
67 |
C etaNM1 suffix N and NM1 denote current and |
C eta_qrNM1 suffix N and NM1 denote current and |
68 |
C cgBeta previous iterations respectively. |
C cgBeta previous iterations respectively. |
69 |
C alpha |
C alpha |
70 |
C sumRHS - Sum of right-hand-side. Sometimes this is a |
C sumRHS - Sum of right-hand-side. Sometimes this is a |
74 |
C err - Measure of residual of Ax - b, usually the norm. |
C err - Measure of residual of Ax - b, usually the norm. |
75 |
C I, J, N - Loop counters ( N counts CG iterations ) |
C I, J, N - Loop counters ( N counts CG iterations ) |
76 |
INTEGER actualIts |
INTEGER actualIts |
77 |
REAL actualResidual |
_RL actualResidual,initialResidual |
78 |
INTEGER bi, bj |
INTEGER bi, bj |
79 |
INTEGER I, J, it2d |
INTEGER I, J, it2d |
80 |
REAL err |
_RL err |
81 |
REAL etaN |
_RL eta_qrN |
82 |
REAL etaNM1 |
_RL eta_qrNM1 |
83 |
REAL cgBeta |
_RL cgBeta |
84 |
REAL alpha |
_RL alpha |
85 |
REAL sumRHS |
_RL sumRHS |
86 |
REAL rhsMax |
_RL rhsMax |
87 |
REAL rhsNorm |
_RL rhsNorm |
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89 |
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INTEGER OLw |
90 |
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INTEGER OLe |
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INTEGER OLn |
92 |
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INTEGER OLs |
93 |
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INTEGER exchWidthX |
94 |
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INTEGER exchWidthY |
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INTEGER myNz |
96 |
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97 |
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98 |
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CcnhDebugStarts |
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C CHARACTER*(MAX_LEN_FNAM) suff |
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CcnhDebugEnds |
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103 |
C-- Initialise inverter |
C-- Initialise inverter |
104 |
etaNBuf(1,myThid) = 0. D0 |
eta_qrNM1 = 1. _d 0 |
105 |
errBuf(1,myThid) = 0. D0 |
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106 |
sumRHSBuf(1,myThid) = 0. D0 |
CcnhDebugStarts |
107 |
etaNM1 = 1. D0 |
C _EXCH_XY_R8( cg2d_b, myThid ) |
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C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.0 CG2D_B' , 1, myThid ) |
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C suff = 'unnormalised' |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
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C STOP |
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CcnhDebugEnds |
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C-- Normalise RHS |
C-- Normalise RHS |
115 |
rhsMax = 0. _d 0 |
rhsMax = 0. _d 0 |
123 |
ENDDO |
ENDDO |
124 |
ENDDO |
ENDDO |
125 |
ENDDO |
ENDDO |
126 |
rhsMaxBuf(1,myThid) = rhsMax |
#ifdef LETS_MAKE_JAM |
127 |
_GLOBAL_MAX_R8( rhsMaxbuf, rhsMax, myThid ) |
C _GLOBAL_MAX_R8( rhsMax, myThid ) |
128 |
rhsMax = rhsMaxBuf(1,1) |
rhsMax=1. |
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#else |
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_GLOBAL_MAX_R8( rhsMax, myThid ) |
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Catm rhsMax=1. |
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#endif |
133 |
rhsNorm = 1. _d 0 |
rhsNorm = 1. _d 0 |
134 |
IF ( rhsMax .NE. 0. ) rhsNorm = 1. _d 0 / rhsMax |
IF ( rhsMax .NE. 0. ) rhsNorm = 1. _d 0 / rhsMax |
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DO bj=myByLo(myThid),myByHi(myThid) |
DO bj=myByLo(myThid),myByHi(myThid) |
148 |
_EXCH_XY_R8( cg2d_x, myThid ) |
_EXCH_XY_R8( cg2d_x, myThid ) |
149 |
CcnhDebugStarts |
CcnhDebugStarts |
150 |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.1 CG2D_B' , 1, myThid ) |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.1 CG2D_B' , 1, myThid ) |
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C suff = 'normalised' |
152 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
153 |
CcnhDebugEnds |
CcnhDebugEnds |
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155 |
C-- Initial residual calculation |
C-- Initial residual calculation |
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& -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
& -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
170 |
& -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
& -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
171 |
& -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj) |
& -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj) |
172 |
& -freeSurfFac*_zA(i,j,bi,bj)* |
& -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
173 |
& cg2d_x(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
& cg2d_x(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
174 |
& ) |
& ) |
175 |
err = err + |
err = err + |
180 |
ENDDO |
ENDDO |
181 |
ENDDO |
ENDDO |
182 |
ENDDO |
ENDDO |
183 |
_EXCH_XY_R8( cg2d_r, myThid ) |
C _EXCH_XY_R8( cg2d_r, myThid ) |
184 |
_EXCH_XY_R8( cg2d_s, myThid ) |
#ifdef LETS_MAKE_JAM |
185 |
sumRHSBuf(1,myThid) = sumRHS |
CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
186 |
_GLOBAL_SUM_R8( sumRHSBuf , sumRHS, myThid ) |
#else |
187 |
sumRHS = sumRHSBuf(1,1) |
OLw = 1 |
188 |
errBuf(1,myThid) = err |
OLe = 1 |
189 |
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OLn = 1 |
190 |
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OLs = 1 |
191 |
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exchWidthX = 1 |
192 |
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exchWidthY = 1 |
193 |
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myNz = 1 |
194 |
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CALL EXCH_RL( cg2d_r, |
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I OLw, OLe, OLs, OLn, myNz, |
196 |
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I exchWidthX, exchWidthY, |
197 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
198 |
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#endif |
199 |
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C _EXCH_XY_R8( cg2d_s, myThid ) |
200 |
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#ifdef LETS_MAKE_JAM |
201 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
202 |
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#else |
203 |
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OLw = 1 |
204 |
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OLe = 1 |
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OLn = 1 |
206 |
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OLs = 1 |
207 |
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exchWidthX = 1 |
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exchWidthY = 1 |
209 |
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myNz = 1 |
210 |
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CALL EXCH_RL( cg2d_s, |
211 |
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I OLw, OLe, OLs, OLn, myNz, |
212 |
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I exchWidthX, exchWidthY, |
213 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
214 |
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#endif |
215 |
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_GLOBAL_SUM_R8( sumRHS, myThid ) |
216 |
C WRITE(6,*) ' mythid, err = ', mythid, SQRT(err) |
C WRITE(6,*) ' mythid, err = ', mythid, SQRT(err) |
217 |
_GLOBAL_SUM_R8( errBuf , err , myThid ) |
_GLOBAL_SUM_R8( err , myThid ) |
218 |
err = errBuf(1,1) |
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219 |
C write(0,*) 'cg2d: Sum(rhs) = ',sumRHS |
_BEGIN_MASTER( myThid ) |
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write(0,'(A,1PE30.14)') ' cg2d: Sum(rhs) = ',sumRHS |
221 |
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_END_MASTER( ) |
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223 |
actualIts = 0 |
actualIts = 0 |
224 |
actualResidual = SQRT(err) |
actualResidual = SQRT(err) |
225 |
C _BARRIER |
C _BARRIER |
226 |
_BEGIN_MASTER( myThid ) |
c _BEGIN_MASTER( myThid ) |
227 |
WRITE(0,*) ' CG2D iters, err = ', actualIts, actualResidual |
c WRITE(0,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
228 |
_END_MASTER( ) |
c & actualIts, actualResidual |
229 |
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c _END_MASTER( ) |
230 |
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initialResidual=actualResidual |
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232 |
C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
233 |
DO 10 it2d=1, cg2dMaxIters |
DO 10 it2d=1, numIters |
234 |
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235 |
CcnhDebugStarts |
CcnhDebugStarts |
236 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' residual = ',actualResidual |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' residual = ', |
237 |
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C & actualResidual |
238 |
CcnhDebugEnds |
CcnhDebugEnds |
239 |
IF ( err .LT. cg2dTargetResidual ) GOTO 11 |
IF ( err .LT. tolerance ) GOTO 11 |
240 |
C-- Solve preconditioning equation and update |
C-- Solve preconditioning equation and update |
241 |
C-- conjugate direction vector "s". |
C-- conjugate direction vector "s". |
242 |
etaN = 0. _d 0 |
eta_qrN = 0. _d 0 |
243 |
DO bj=myByLo(myThid),myByHi(myThid) |
DO bj=myByLo(myThid),myByHi(myThid) |
244 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
DO bi=myBxLo(myThid),myBxHi(myThid) |
245 |
DO J=1,sNy |
DO J=1,sNy |
253 |
CcnhDebugStarts |
CcnhDebugStarts |
254 |
C cg2d_q(I,J,bi,bj) = cg2d_r(I ,J ,bi,bj) |
C cg2d_q(I,J,bi,bj) = cg2d_r(I ,J ,bi,bj) |
255 |
CcnhDebugEnds |
CcnhDebugEnds |
256 |
etaN = etaN |
eta_qrN = eta_qrN |
257 |
& +cg2d_q(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
& +cg2d_q(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
258 |
ENDDO |
ENDDO |
259 |
ENDDO |
ENDDO |
260 |
ENDDO |
ENDDO |
261 |
ENDDO |
ENDDO |
262 |
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263 |
etanBuf(1,myThid) = etaN |
_GLOBAL_SUM_R8(eta_qrN, myThid) |
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_GLOBAL_SUM_R8(etaNbuf,etaN, myThid) |
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etaN = etaNBuf(1,1) |
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264 |
CcnhDebugStarts |
CcnhDebugStarts |
265 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' etaN = ',etaN |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' eta_qrN = ',eta_qrN |
266 |
CcnhDebugEnds |
CcnhDebugEnds |
267 |
cgBeta = etaN/etaNM1 |
cgBeta = eta_qrN/eta_qrNM1 |
268 |
CcnhDebugStarts |
CcnhDebugStarts |
269 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' beta = ',cgBeta |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' beta = ',cgBeta |
270 |
CcnhDebugEnds |
CcnhDebugEnds |
271 |
etaNM1 = etaN |
eta_qrNM1 = eta_qrN |
272 |
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273 |
DO bj=myByLo(myThid),myByHi(myThid) |
DO bj=myByLo(myThid),myByHi(myThid) |
274 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
DO bi=myBxLo(myThid),myBxHi(myThid) |
275 |
DO J=1,sNy |
DO J=1,sNy |
276 |
DO I=1,sNx |
DO I=1,sNx |
277 |
cg2d_s(I,J,bi,bj) = cg2d_q(I,J,bi,bj) + cgBeta*cg2d_s(I,J,bi,bj) |
cg2d_s(I,J,bi,bj) = cg2d_q(I,J,bi,bj) |
278 |
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& + cgBeta*cg2d_s(I,J,bi,bj) |
279 |
ENDDO |
ENDDO |
280 |
ENDDO |
ENDDO |
281 |
ENDDO |
ENDDO |
283 |
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284 |
C-- Do exchanges that require messages i.e. between |
C-- Do exchanges that require messages i.e. between |
285 |
C-- processes. |
C-- processes. |
286 |
_EXCH_XY_R8( cg2d_s, myThid ) |
C _EXCH_XY_R8( cg2d_s, myThid ) |
287 |
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#ifdef LETS_MAKE_JAM |
288 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
289 |
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#else |
290 |
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OLw = 1 |
291 |
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OLe = 1 |
292 |
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OLn = 1 |
293 |
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OLs = 1 |
294 |
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exchWidthX = 1 |
295 |
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exchWidthY = 1 |
296 |
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myNz = 1 |
297 |
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CALL EXCH_RL( cg2d_s, |
298 |
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I OLw, OLe, OLs, OLn, myNz, |
299 |
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I exchWidthX, exchWidthY, |
300 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
301 |
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#endif |
302 |
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303 |
C== Evaluate laplace operator on conjugate gradient vector |
C== Evaluate laplace operator on conjugate gradient vector |
304 |
C== q = A.s |
C== q = A.s |
316 |
& -aW2d(I+1,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
& -aW2d(I+1,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
317 |
& -aS2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
& -aS2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
318 |
& -aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J ,bi,bj) |
& -aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J ,bi,bj) |
319 |
& -freeSurfFac*_zA(i,j,bi,bj)* |
& -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
320 |
& cg2d_s(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
& cg2d_s(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
321 |
alpha = alpha+cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
alpha = alpha+cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
322 |
ENDDO |
ENDDO |
323 |
ENDDO |
ENDDO |
324 |
ENDDO |
ENDDO |
325 |
ENDDO |
ENDDO |
326 |
alphaBuf(1,myThid) = alpha |
_GLOBAL_SUM_R8(alpha,myThid) |
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_GLOBAL_SUM_R8(alphaBuf,alpha,myThid) |
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alpha = alphaBuf(1,1) |
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327 |
CcnhDebugStarts |
CcnhDebugStarts |
328 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' SUM(s*q)= ',alpha |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' SUM(s*q)= ',alpha |
329 |
CcnhDebugEnds |
CcnhDebugEnds |
330 |
alpha = etaN/alpha |
alpha = eta_qrN/alpha |
331 |
CcnhDebugStarts |
CcnhDebugStarts |
332 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' alpha= ',alpha |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' alpha= ',alpha |
333 |
CcnhDebugEnds |
CcnhDebugEnds |
347 |
ENDDO |
ENDDO |
348 |
ENDDO |
ENDDO |
349 |
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350 |
errBuf(1,myThid) = err |
_GLOBAL_SUM_R8( err , myThid ) |
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_GLOBAL_SUM_R8( errBuf , err , myThid ) |
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err = errBuf(1,1) |
|
351 |
err = SQRT(err) |
err = SQRT(err) |
352 |
actualIts = it2d |
actualIts = it2d |
353 |
actualResidual = err |
actualResidual = err |
354 |
IF ( err .LT. cg2dTargetResidual ) GOTO 11 |
IF ( err .LT. cg2dTargetResidual ) GOTO 11 |
355 |
_EXCH_XY_R8(cg2d_r, myThid ) |
C _EXCH_XY_R8(cg2d_r, myThid ) |
356 |
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#ifdef LETS_MAKE_JAM |
357 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
358 |
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#else |
359 |
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OLw = 1 |
360 |
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OLe = 1 |
361 |
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OLn = 1 |
362 |
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OLs = 1 |
363 |
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exchWidthX = 1 |
364 |
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exchWidthY = 1 |
365 |
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myNz = 1 |
366 |
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CALL EXCH_RL( cg2d_r, |
367 |
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I OLw, OLe, OLs, OLn, myNz, |
368 |
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I exchWidthX, exchWidthY, |
369 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
370 |
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#endif |
371 |
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372 |
10 CONTINUE |
10 CONTINUE |
373 |
11 CONTINUE |
11 CONTINUE |
374 |
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383 |
ENDDO |
ENDDO |
384 |
ENDDO |
ENDDO |
385 |
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386 |
_EXCH_XY_R8(cg2d_x, myThid ) |
C The following exchange was moved up to solve_for_pressure |
387 |
_BEGIN_MASTER( myThid ) |
C for compatibility with TAMC. |
388 |
WRITE(0,*) ' CG2D iters, err = ', actualIts, actualResidual |
C _EXCH_XY_R8(cg2d_x, myThid ) |
389 |
_END_MASTER( ) |
c _BEGIN_MASTER( myThid ) |
390 |
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c WRITE(0,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
391 |
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c & actualIts, actualResidual |
392 |
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c _END_MASTER( ) |
393 |
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394 |
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C-- Return parameters to caller |
395 |
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tolerance=initialResidual |
396 |
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residual=actualResidual |
397 |
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numIters=actualIts |
398 |
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|
399 |
CcnhDebugStarts |
CcnhDebugStarts |
400 |
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
418 |
C ENDDO |
C ENDDO |
419 |
C ENDDO |
C ENDDO |
420 |
C ENDDO |
C ENDDO |
421 |
C errBuf(1,myThid) = err |
C _GLOBAL_SUM_R8( err , myThid ) |
|
C _GLOBAL_SUM_R8( errBuf , err , myThid ) |
|
|
C err = errBuf(1,1) |
|
422 |
C write(0,*) 'cg2d: Ax - b = ',SQRT(err) |
C write(0,*) 'cg2d: Ax - b = ',SQRT(err) |
423 |
CcnhDebugEnds |
CcnhDebugEnds |
424 |
|
|
425 |
|
RETURN |
426 |
END |
END |