/[MITgcm]/MITgcm/pkg/seaice/seaice_jfnk.F
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revision 1.16 by mlosch, Thu Jan 17 08:51:15 2013 UTC revision 1.26 by mlosch, Thu Mar 20 09:24:49 2014 UTC
# Line 53  C     myThid :: my Thread Id. number Line 53  C     myThid :: my Thread Id. number
53        INTEGER myIter        INTEGER myIter
54        INTEGER myThid        INTEGER myThid
55    
56  #if ( (defined SEAICE_CGRID) && \  #ifdef SEAICE_ALLOW_JFNK
       (defined SEAICE_ALLOW_JFNK) && \  
       (defined SEAICE_ALLOW_DYNAMICS) )  
57  C     !FUNCTIONS:  C     !FUNCTIONS:
58        LOGICAL  DIFFERENT_MULTIPLE        LOGICAL  DIFFERENT_MULTIPLE
59        EXTERNAL DIFFERENT_MULTIPLE        EXTERNAL DIFFERENT_MULTIPLE
# Line 75  C     FGMRES flag that indicates what fg Line 73  C     FGMRES flag that indicates what fg
73        _RL     JFNKresidual        _RL     JFNKresidual
74        _RL     JFNKresidualKm1        _RL     JFNKresidualKm1
75  C     parameters to compute convergence criterion  C     parameters to compute convergence criterion
76        _RL     phi_e, alp_e, JFNKgamma_lin        _RL     JFNKgamma_lin
77        _RL     FGMRESeps        _RL     FGMRESeps
78        _RL     JFNKtol        _RL     JFNKtol
79  C      C     backward differences extrapolation factors
80          _RL bdfFac, bdfAlpha
81    C
82        _RL     recip_deltaT        _RL     recip_deltaT
83        LOGICAL JFNKconverged, krylovConverged        LOGICAL JFNKconverged, krylovConverged
84        LOGICAL writeNow        LOGICAL writeNow
85        CHARACTER*(MAX_LEN_MBUF) msgBuf        CHARACTER*(MAX_LEN_MBUF) msgBuf
86  C  
87  C     u/vIceRes :: residual of sea-ice momentum equations  C     u/vIceRes :: residual of sea-ice momentum equations
88        _RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
89        _RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
90  C     vector version of the residuals  C     extra time level required for backward difference time stepping
91        _RL resTmp (nVec,1,nSx,nSy)        _RL duIcNm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
92          _RL dvIcNm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
93  C     du/vIce   :: ice velocity increment to be added to u/vIce  C     du/vIce   :: ice velocity increment to be added to u/vIce
94        _RL duIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL duIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
95        _RL dvIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL dvIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
96  C     precomputed (= constant per Newton iteration) versions of  C     precomputed (= constant per Newton iteration) versions of
97  C     zeta, eta, and DWATN, press  C     zeta, eta, and DWATN, press
98        _RL zetaPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL zetaPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
99        _RL etaPre  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL etaPre  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
# Line 117  C     with iOutFgmres=1, seaice_fgmres p Line 118  C     with iOutFgmres=1, seaice_fgmres p
118       &     DIFFERENT_MULTIPLE( SEAICE_monFreq, myTime, deltaTClock ) )       &     DIFFERENT_MULTIPLE( SEAICE_monFreq, myTime, deltaTClock ) )
119       &     iOutFGMRES=1       &     iOutFGMRES=1
120    
121  C      C     backward difference extrapolation factors
122          bdfFac = 0. _d 0
123          IF ( SEAICEuseBDF2 ) THEN
124           IF ( myIter.EQ.nIter0 .AND. SEAICEmomStartBDF.EQ.0 ) THEN
125            bdfFac = 0. _d 0
126           ELSE
127            bdfFac = 0.5 _d 0
128           ENDIF
129          ENDIF
130          bdfAlpha = 1. _d 0 + bdfFac
131    
132        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
133         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
134          DO J=1-Oly,sNy+Oly          DO J=1-OLy,sNy+OLy
135           DO I=1-Olx,sNx+Olx           DO I=1-OLx,sNx+OLx
136            uIceRes(I,J,bi,bj) = 0. _d 0            uIceRes(I,J,bi,bj) = 0. _d 0
137            vIceRes(I,J,bi,bj) = 0. _d 0            vIceRes(I,J,bi,bj) = 0. _d 0
138            duIce  (I,J,bi,bj) = 0. _d 0            duIce  (I,J,bi,bj) = 0. _d 0
139            dvIce  (I,J,bi,bj) = 0. _d 0            dvIce  (I,J,bi,bj) = 0. _d 0
140             ENDDO
141            ENDDO
142    C     cycle ice velocities
143            DO J=1-OLy,sNy+OLy
144             DO I=1-OLx,sNx+OLx
145              duIcNm1(I,J,bi,bj) = uIce(I,J,bi,bj) * bdfAlpha
146         &         + ( uIce(I,J,bi,bj) - uIceNm1(I,J,bi,bj) ) * bdfFac
147              dvIcNm1(I,J,bi,bj) = vIce(I,J,bi,bj) * bdfAlpha
148         &         + ( vIce(I,J,bi,bj) - vIceNm1(I,J,bi,bj) ) * bdfFac
149            uIceNm1(I,J,bi,bj) = uIce(I,J,bi,bj)            uIceNm1(I,J,bi,bj) = uIce(I,J,bi,bj)
150            vIceNm1(I,J,bi,bj) = vIce(I,J,bi,bj)            vIceNm1(I,J,bi,bj) = vIce(I,J,bi,bj)
151           ENDDO           ENDDO
152          ENDDO          ENDDO
153    C     As long as IMEX is not properly implemented leave this commented out
154    CML        IF ( .NOT.SEAICEuseIMEX ) THEN
155  C     Compute things that do no change during the Newton iteration:  C     Compute things that do no change during the Newton iteration:
156  C     sea-surface tilt and wind stress:  C     sea-surface tilt and wind stress:
157  C     FORCEX/Y0 - mass*(u/vIceNm1)/deltaT  C     FORCEX/Y0 - mass*(1.5*u/vIceNm1+0.5*(u/vIceNm1-u/vIceNm2))/deltaT
158          DO J=1-Oly,sNy+Oly          DO J=1-OLy,sNy+OLy
159           DO I=1-Olx,sNx+Olx           DO I=1-OLx,sNx+OLx
160            FORCEX(I,J,bi,bj) = FORCEX0(I,J,bi,bj)            FORCEX(I,J,bi,bj) = FORCEX0(I,J,bi,bj)
161       &         + seaiceMassU(I,J,bi,bj)*uIceNm1(I,J,bi,bj)*recip_deltaT           &         + seaiceMassU(I,J,bi,bj)*duIcNm1(I,J,bi,bj)*recip_deltaT
162            FORCEY(I,J,bi,bj) = FORCEY0(I,J,bi,bj)            FORCEY(I,J,bi,bj) = FORCEY0(I,J,bi,bj)
163       &         + seaiceMassV(I,J,bi,bj)*vIceNm1(I,J,bi,bj)*recip_deltaT           &         + seaiceMassV(I,J,bi,bj)*dvIcNm1(I,J,bi,bj)*recip_deltaT
164           ENDDO           ENDDO
165          ENDDO          ENDDO
166    CML        ENDIF
167         ENDDO         ENDDO
168        ENDDO        ENDDO
169  C     Start nonlinear Newton iteration: outer loop iteration  C     Start nonlinear Newton iteration: outer loop iteration
# Line 149  C     Start nonlinear Newton iteration: Line 172  C     Start nonlinear Newton iteration:
172         newtonIter = newtonIter + 1         newtonIter = newtonIter + 1
173  C     Compute initial residual F(u), (includes computation of global  C     Compute initial residual F(u), (includes computation of global
174  C     variables DWATN, zeta, and eta)  C     variables DWATN, zeta, and eta)
175         IF ( newtonIter .EQ. 1 ) CALL SEAICE_JFNK_UPDATE(         IF ( newtonIter .EQ. 1 ) CALL SEAICE_JFNK_UPDATE(
176       I      duIce, dvIce,       I      duIce, dvIce,
177       U      uIce, vIce, JFNKresidual,       U      uIce, vIce, JFNKresidual,
178       O      uIceRes, vIceRes,       O      uIceRes, vIceRes,
179       I      newtonIter, myTime, myIter, myThid )       I      newtonIter, myTime, myIter, myThid )
# Line 158  C     local copies of precomputed coeffi Line 181  C     local copies of precomputed coeffi
181  C     constant for the preconditioner  C     constant for the preconditioner
182         DO bj=myByLo(myThid),myByHi(myThid)         DO bj=myByLo(myThid),myByHi(myThid)
183          DO bi=myBxLo(myThid),myBxHi(myThid)          DO bi=myBxLo(myThid),myBxHi(myThid)
184           DO j=1-Oly,sNy+Oly           DO j=1-OLy,sNy+OLy
185            DO i=1-Olx,sNx+Olx            DO i=1-OLx,sNx+OLx
186             zetaPre(I,J,bi,bj) =  zeta(I,J,bi,bj)             zetaPre(I,J,bi,bj) =  zeta(I,J,bi,bj)
187              etaPre(I,J,bi,bj) =   eta(I,J,bi,bj)              etaPre(I,J,bi,bj) =   eta(I,J,bi,bj)
188             etaZPre(I,J,bi,bj) =  etaZ(I,J,bi,bj)             etaZPre(I,J,bi,bj) =  etaZ(I,J,bi,bj)
# Line 170  C     constant for the preconditioner Line 193  C     constant for the preconditioner
193         ENDDO         ENDDO
194  C     compute convergence criterion for linear preconditioned FGMRES  C     compute convergence criterion for linear preconditioned FGMRES
195         JFNKgamma_lin = JFNKgamma_lin_max         JFNKgamma_lin = JFNKgamma_lin_max
196         IF ( newtonIter.GT.1.AND.newtonIter.LE.100         IF ( newtonIter.GT.1.AND.newtonIter.LE.SEAICE_JFNK_tolIter
197       &      .AND.JFNKresidual.LT.JFNKres_t ) THEN       &      .AND.JFNKresidual.LT.JFNKres_t ) THEN
198  C     Eisenstat, 1996, equ.(2.6)        C     Eisenstat and Walker (1996), eq.(2.6)
199          phi_e = 1. _d 0          JFNKgamma_lin = SEAICE_JFNKphi
200          alp_e = 1. _d 0       &       *( JFNKresidual/JFNKresidualKm1 )**SEAICE_JFNKalpha
         JFNKgamma_lin = phi_e*( JFNKresidual/JFNKresidualKm1 )**alp_e  
201          JFNKgamma_lin = min(JFNKgamma_lin_max, JFNKgamma_lin)          JFNKgamma_lin = min(JFNKgamma_lin_max, JFNKgamma_lin)
202          JFNKgamma_lin = max(JFNKgamma_lin_min, JFNKgamma_lin)          JFNKgamma_lin = max(JFNKgamma_lin_min, JFNKgamma_lin)
203         ENDIF         ENDIF
204  C     save the residual for the next iteration  C     save the residual for the next iteration
205         JFNKresidualKm1 = JFNKresidual         JFNKresidualKm1 = JFNKresidual
206  C  
207  C     The Krylov iteration using FGMRES, the preconditioner is LSOR  C     The Krylov iteration using FGMRES, the preconditioner is LSOR
208  C     for now. The code is adapted from SEAICE_LSR, but heavily stripped  C     for now. The code is adapted from SEAICE_LSR, but heavily stripped
209  C     down.  C     down.
# Line 189  C     krylovIter is mapped into "its" in Line 211  C     krylovIter is mapped into "its" in
211  C     in that routine  C     in that routine
212         krylovIter    = 0         krylovIter    = 0
213         iCode         = 0         iCode         = 0
214  C  
215         JFNKconverged = JFNKresidual.LT.JFNKtol         JFNKconverged = JFNKresidual.LT.JFNKtol
216  C  
217  C     do Krylov loop only if convergence is not reached  C     do Krylov loop only if convergence is not reached
218  C  
219         IF ( .NOT.JFNKconverged ) THEN         IF ( .NOT.JFNKconverged ) THEN
220  C  
221  C     start Krylov iteration (FGMRES)  C     start Krylov iteration (FGMRES)
222  C  
223          krylovConverged = .FALSE.          krylovConverged = .FALSE.
224          FGMRESeps = JFNKgamma_lin * JFNKresidual          FGMRESeps = JFNKgamma_lin * JFNKresidual
225          DO WHILE ( .NOT.krylovConverged )          DO WHILE ( .NOT.krylovConverged )
226  C     solution vector sol = du/vIce  C     solution vector sol = du/vIce
227  C     residual vector (rhs) Fu = u/vIceRes  C     residual vector (rhs) Fu = u/vIceRes
228  C     output work vectors wk1, -> input work vector wk2  C     output work vectors wk1, -> input work vector wk2
229  C      
230           CALL SEAICE_FGMRES_DRIVER(           CALL SEAICE_FGMRES_DRIVER(
231       I        uIceRes, vIceRes,       I        uIceRes, vIceRes,
232       U        duIce, dvIce, iCode,       U        duIce, dvIce, iCode,
233       I        FGMRESeps, iOutFGMRES,       I        FGMRESeps, iOutFGMRES,
234       I        newtonIter, krylovIter, myTime, myIter, myThid )       I        newtonIter, krylovIter, myTime, myIter, myThid )
# Line 214  C     FGMRES returns iCode either asking Line 236  C     FGMRES returns iCode either asking
236  C     or product of matrix (Jacobian) times vector. For iCode = 0, terminate  C     or product of matrix (Jacobian) times vector. For iCode = 0, terminate
237  C     iteration  C     iteration
238           IF (iCode.EQ.1) THEN           IF (iCode.EQ.1) THEN
239  C     Call preconditioner  C     Call preconditioner
240            IF ( SOLV_MAX_ITERS .GT. 0 )            IF ( SOLV_MAX_ITERS .GT. 0 )
241       &         CALL SEAICE_PRECONDITIONER(       &         CALL SEAICE_PRECONDITIONER(
242       U         duIce, dvIce,       U         duIce, dvIce,
243       I         zetaPre, etaPre, etaZpre, dwatPre,       I         zetaPre, etaPre, etaZpre, dwatPre,
244       I         newtonIter, krylovIter, myTime, myIter, myThid )       I         newtonIter, krylovIter, myTime, myIter, myThid )
245           ELSEIF (iCode.GE.2) THEN           ELSEIF (iCode.GE.2) THEN
246  C     Compute Jacobian times vector  C     Compute Jacobian times vector
247            CALL SEAICE_JACVEC(            CALL SEAICE_JACVEC(
248       I         uIce, vIce, uIceRes, vIceRes,       I         uIce, vIce, uIceRes, vIceRes,
249       U         duIce, dvIce,         U         duIce, dvIce,
250       I         newtonIter, krylovIter, myTime, myIter, myThid )       I         newtonIter, krylovIter, myTime, myIter, myThid )
251           ENDIF           ENDIF
252           krylovConverged = iCode.EQ.0           krylovConverged = iCode.EQ.0
# Line 234  C     End of Krylov iterate Line 256  C     End of Krylov iterate
256  C     some output diagnostics  C     some output diagnostics
257          IF ( debugLevel.GE.debLevA ) THEN          IF ( debugLevel.GE.debLevA ) THEN
258           _BEGIN_MASTER( myThid )           _BEGIN_MASTER( myThid )
259           totalNewtonItersLoc =           totalNewtonItersLoc =
260       &        SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter       &        SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter
261           WRITE(msgBuf,'(2A,2(1XI6),2E12.5)')           WRITE(msgBuf,'(2A,2(1XI6),2E12.5)')
262       &        ' S/R SEAICE_JFNK: Newton iterate / total, ',       &        ' S/R SEAICE_JFNK: Newton iterate / total, ',
263       &        'JFNKgamma_lin, initial norm = ',       &        'JFNKgamma_lin, initial norm = ',
264       &        newtonIter, totalNewtonItersLoc,       &        newtonIter, totalNewtonItersLoc,
# Line 244  C     some output diagnostics Line 266  C     some output diagnostics
266           CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,           CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
267       &        SQUEEZE_RIGHT, myThid )       &        SQUEEZE_RIGHT, myThid )
268           WRITE(msgBuf,'(3(A,I6))')           WRITE(msgBuf,'(3(A,I6))')
269       &        ' S/R SEAICE_JFNK: Newton iterate / total = ',newtonIter,       &        ' S/R SEAICE_JFNK: Newton iterate / total = ',newtonIter,
270       &        ' / ', totalNewtonItersLoc,       &        ' / ', totalNewtonItersLoc,
271       &        ', Nb. of FGMRES iterations = ', krylovIter       &        ', Nb. of FGMRES iterations = ', krylovIter
272           CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,           CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 254  C     some output diagnostics Line 276  C     some output diagnostics
276          IF ( krylovIter.EQ.SEAICEkrylovIterMax ) THEN          IF ( krylovIter.EQ.SEAICEkrylovIterMax ) THEN
277           krylovFails = krylovFails + 1           krylovFails = krylovFails + 1
278          ENDIF          ENDIF
279  C     Set the stopping criterion for the Newton iteration  C     Set the stopping criterion for the Newton iteration and the
280          IF ( newtonIter .EQ. 1 ) JFNKtol=JFNKgamma_nonlin*JFNKresidual  C     criterion for the transition from accurate to approximate FGMRES
281            IF ( newtonIter .EQ. 1 ) THEN
282             JFNKtol=JFNKgamma_nonlin*JFNKresidual
283             IF ( JFNKres_tFac .NE. UNSET_RL )
284         &        JFNKres_t = JFNKresidual * JFNKres_tFac
285            ENDIF
286  C     Update linear solution vector and return to Newton iteration  C     Update linear solution vector and return to Newton iteration
287  C     Do a linesearch if necessary, and compute a new residual.  C     Do a linesearch if necessary, and compute a new residual.
288  C     Note that it should be possible to do the following operations  C     Note that it should be possible to do the following operations
289  C     at the beginning of the Newton iteration, thereby saving us from  C     at the beginning of the Newton iteration, thereby saving us from
290  C     the extra call of seaice_jfnk_update, but unfortunately that  C     the extra call of seaice_jfnk_update, but unfortunately that
291  C     changes the results, so we leave the stuff here for now.  C     changes the results, so we leave the stuff here for now.
292          CALL SEAICE_JFNK_UPDATE(          CALL SEAICE_JFNK_UPDATE(
293       I       duIce, dvIce,       I       duIce, dvIce,
294       U       uIce, vIce, JFNKresidual,       U       uIce, vIce, JFNKresidual,
295       O       uIceRes, vIceRes,       O       uIceRes, vIceRes,
296       I       newtonIter, myTime, myIter, myThid )       I       newtonIter, myTime, myIter, myThid )
297  C     reset du/vIce here instead of setting sol = 0 in seaice_fgmres_driver  C     reset du/vIce here instead of setting sol = 0 in seaice_fgmres_driver
298          DO bj=myByLo(myThid),myByHi(myThid)          DO bj=myByLo(myThid),myByHi(myThid)
299           DO bi=myBxLo(myThid),myBxHi(myThid)           DO bi=myBxLo(myThid),myBxHi(myThid)
300            DO J=1-Oly,sNy+Oly            DO J=1-OLy,sNy+OLy
301             DO I=1-Olx,sNx+Olx             DO I=1-OLx,sNx+OLx
302              duIce(I,J,bi,bj)= 0. _d 0              duIce(I,J,bi,bj)= 0. _d 0
303              dvIce(I,J,bi,bj)= 0. _d 0              dvIce(I,J,bi,bj)= 0. _d 0
304             ENDDO             ENDDO
# Line 281  C     reset du/vIce here instead of sett Line 308  C     reset du/vIce here instead of sett
308         ENDIF         ENDIF
309  C     end of Newton iterate  C     end of Newton iterate
310        ENDDO        ENDDO
311  C  
312  C--   Output diagnostics  C--   Output diagnostics
313  C  
314        IF ( SEAICE_monFreq .GT. 0. _d 0 ) THEN        IF ( SEAICE_monFreq .GT. 0. _d 0 ) THEN
315  C     Count iterations  C     Count iterations
316         totalJFNKtimeSteps = totalJFNKtimeSteps + 1         totalJFNKtimeSteps = totalJFNKtimeSteps + 1
# Line 292  C     Count iterations Line 319  C     Count iterations
319  C     Record failure  C     Record failure
320         totalKrylovFails   = totalKrylovFails + krylovFails         totalKrylovFails   = totalKrylovFails + krylovFails
321         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN
322          totalNewtonFails = totalNewtonFails + 1          totalNewtonFails = totalNewtonFails + 1
323         ENDIF         ENDIF
324        ENDIF        ENDIF
325  C     Decide whether it is time to dump and reset the counter  C     Decide whether it is time to dump and reset the counter
326        writeNow = DIFFERENT_MULTIPLE(SEAICE_monFreq,        writeNow = DIFFERENT_MULTIPLE(SEAICE_monFreq,
327       &     myTime+deltaTClock, deltaTClock)       &     myTime+deltaTClock, deltaTClock)
328  #ifdef ALLOW_CAL  #ifdef ALLOW_CAL
329        IF ( useCAL ) THEN        IF ( useCAL ) THEN
330         CALL CAL_TIME2DUMP(         CALL CAL_TIME2DUMP(
331       I      zeroRL, SEAICE_monFreq,  deltaTClock,       I      zeroRL, SEAICE_monFreq,  deltaTClock,
332       U      writeNow,       U      writeNow,
333       I      myTime+deltaTclock, myIter+1, myThid )       I      myTime+deltaTclock, myIter+1, myThid )
# Line 308  C     Decide whether it is time to dump Line 335  C     Decide whether it is time to dump
335  #endif  #endif
336        IF ( writeNow ) THEN        IF ( writeNow ) THEN
337         _BEGIN_MASTER( myThid )         _BEGIN_MASTER( myThid )
338         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
339       &' // ======================================================='       &' // ======================================================='
340         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
341       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
342         WRITE(msgBuf,'(A)') ' // Begin JFNK statistics'         WRITE(msgBuf,'(A)') ' // Begin JFNK statistics'
343         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
344       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
345         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
346       &' // ======================================================='       &' // ======================================================='
347         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
348       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
349         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
350       &      ' %JFNK_MON: time step              = ', myIter+1       &      ' %JFNK_MON: time step              = ', myIter+1
351         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
352       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
353         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
354       &      ' %JFNK_MON: Nb. of time steps      = ', totalJFNKtimeSteps       &      ' %JFNK_MON: Nb. of time steps      = ', totalJFNKtimeSteps
355         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
356       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
357         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
358       &      ' %JFNK_MON: Nb. of Newton steps    = ', totalNewtonIters       &      ' %JFNK_MON: Nb. of Newton steps    = ', totalNewtonIters
359         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
360       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
361         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
362       &      ' %JFNK_MON: Nb. of Krylov steps    = ', totalKrylovIters       &      ' %JFNK_MON: Nb. of Krylov steps    = ', totalKrylovIters
363         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
364       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
365         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
366       &      ' %JFNK_MON: Nb. of Newton failures = ', totalNewtonFails       &      ' %JFNK_MON: Nb. of Newton failures = ', totalNewtonFails
367         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
368       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
369         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
370       &      ' %JFNK_MON: Nb. of Krylov failures = ', totalKrylovFails       &      ' %JFNK_MON: Nb. of Krylov failures = ', totalKrylovFails
371         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
372       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
373         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
374       &' // ======================================================='       &' // ======================================================='
375         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
376       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
377         WRITE(msgBuf,'(A)') ' // End JFNK statistics'         WRITE(msgBuf,'(A)') ' // End JFNK statistics'
378         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
379       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
380         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
381       &' // ======================================================='       &' // ======================================================='
382         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
383       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
# Line 367  C     Print more debugging information Line 394  C     Print more debugging information
394        IF ( debugLevel.GE.debLevA ) THEN        IF ( debugLevel.GE.debLevA ) THEN
395         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN
396          _BEGIN_MASTER( myThid )          _BEGIN_MASTER( myThid )
397          WRITE(msgBuf,'(A,I10)')          WRITE(msgBuf,'(A,I10)')
398       &       ' S/R SEAICE_JFNK: JFNK did not converge in timestep ',       &       ' S/R SEAICE_JFNK: JFNK did not converge in timestep ',
399       &       myIter+1       &       myIter+1
400          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 376  C     Print more debugging information Line 403  C     Print more debugging information
403         ENDIF         ENDIF
404         IF ( krylovFails .GT. 0 ) THEN         IF ( krylovFails .GT. 0 ) THEN
405          _BEGIN_MASTER( myThid )          _BEGIN_MASTER( myThid )
406          WRITE(msgBuf,'(A,I4,A,I10)')          WRITE(msgBuf,'(A,I4,A,I10)')
407       &       ' S/R SEAICE_JFNK: FGMRES did not converge ',       &       ' S/R SEAICE_JFNK: FGMRES did not converge ',
408       &       krylovFails, ' times in timestep ', myIter+1       &       krylovFails, ' times in timestep ', myIter+1
409          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 384  C     Print more debugging information Line 411  C     Print more debugging information
411          _END_MASTER( myThid )          _END_MASTER( myThid )
412         ENDIF         ENDIF
413         _BEGIN_MASTER( myThid )         _BEGIN_MASTER( myThid )
414         WRITE(msgBuf,'(A,I6,A,I10)')         WRITE(msgBuf,'(A,I6,A,I10)')
415       &      ' S/R SEAICE_JFNK: Total number FGMRES iterations = ',       &      ' S/R SEAICE_JFNK: Total number FGMRES iterations = ',
416       &      totalKrylovItersLoc, ' in timestep ', myIter+1       &      totalKrylovItersLoc, ' in timestep ', myIter+1
417         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 400  CBOP Line 427  CBOP
427  C     !ROUTINE: SEAICE_JFNK_UPDATE  C     !ROUTINE: SEAICE_JFNK_UPDATE
428  C     !INTERFACE:  C     !INTERFACE:
429    
430        SUBROUTINE SEAICE_JFNK_UPDATE(        SUBROUTINE SEAICE_JFNK_UPDATE(
431       I     duIce, dvIce,       I     duIce, dvIce,
432       U     uIce, vIce, JFNKresidual,       U     uIce, vIce, JFNKresidual,
433       O     uIceRes, vIceRes,       O     uIceRes, vIceRes,
434       I     newtonIter, myTime, myIter, myThid )       I     newtonIter, myTime, myIter, myThid )
# Line 460  C     i,j,bi,bj :: loop indices Line 487  C     i,j,bi,bj :: loop indices
487        _RL     resLoc, facLS        _RL     resLoc, facLS
488        LOGICAL doLineSearch        LOGICAL doLineSearch
489  C     nVec    :: size of the input vector(s)  C     nVec    :: size of the input vector(s)
490  C     vector version of the residuals  C     resTmp  :: vector version of the residuals
491        INTEGER nVec        INTEGER nVec
492        PARAMETER ( nVec  = 2*sNx*sNy )        PARAMETER ( nVec  = 2*sNx*sNy )
493        _RL resTmp (nVec,1,nSx,nSy)        _RL resTmp (nVec,1,nSx,nSy)
494  C  
495        CHARACTER*(MAX_LEN_MBUF) msgBuf        CHARACTER*(MAX_LEN_MBUF) msgBuf
496  CEOP  CEOP
497    
# Line 474  C     Initialise some local variables Line 501  C     Initialise some local variables
501        facLS = 1. _d 0        facLS = 1. _d 0
502        doLineSearch = .TRUE.        doLineSearch = .TRUE.
503        DO WHILE ( doLineSearch )        DO WHILE ( doLineSearch )
 C     Determine, if we need more iterations  
        doLineSearch = resLoc .GE. JFNKresidual  
 C     Limit the maximum number of iterations arbitrarily to four  
        doLineSearch = doLineSearch .AND. l .LE. 4  
 C     For the first iteration du/vIce = 0 and there will be no  
 C     improvement of the residual possible, so we do only the first  
 C     iteration  
        IF ( newtonIter .EQ. 1 ) doLineSearch = .FALSE.  
 C     Only start a linesearch after some Newton iterations  
        IF ( newtonIter .LE. SEAICE_JFNK_lsIter ) doLineSearch = .FALSE.  
 C     Increment counter  
        l = l + 1  
504  C     Create update  C     Create update
505         DO bj=myByLo(myThid),myByHi(myThid)         DO bj=myByLo(myThid),myByHi(myThid)
506          DO bi=myBxLo(myThid),myBxHi(myThid)          DO bi=myBxLo(myThid),myBxHi(myThid)
507           DO J=1-Oly,sNy+Oly           DO J=1-OLy,sNy+OLy
508            DO I=1-Olx,sNx+Olx            DO I=1-OLx,sNx+OLx
509             uIce(I,J,bi,bj) = uIce(I,J,bi,bj)+facLS*duIce(I,J,bi,bj)             uIce(I,J,bi,bj) = uIce(I,J,bi,bj)+facLS*duIce(I,J,bi,bj)
510             vIce(I,J,bi,bj) = vIce(I,J,bi,bj)+facLS*dvIce(I,J,bi,bj)             vIce(I,J,bi,bj) = vIce(I,J,bi,bj)+facLS*dvIce(I,J,bi,bj)
511            ENDDO            ENDDO
# Line 499  C     Create update Line 514  C     Create update
514         ENDDO         ENDDO
515  C     Compute current residual F(u), (includes re-computation of global  C     Compute current residual F(u), (includes re-computation of global
516  C     variables DWATN, zeta, and eta, i.e. they are different after this)  C     variables DWATN, zeta, and eta, i.e. they are different after this)
517         CALL SEAICE_CALC_RESIDUAL(         CALL SEAICE_CALC_RESIDUAL(
518       I      uIce, vIce,       I      uIce, vIce,
519       O      uIceRes, vIceRes,       O      uIceRes, vIceRes,
520       I      newtonIter, 0, myTime, myIter, myThid )       I      newtonIter, 0, myTime, myIter, myThid )
521  C     Important: Compute the norm of the residual using the same scalar  C     Important: Compute the norm of the residual using the same scalar
522  C     product that SEAICE_FGMRES does  C     product that SEAICE_FGMRES does
523         CALL SEAICE_MAP2VEC(nVec,uIceRes,vIceRes,resTmp,.TRUE.,myThid)         CALL SEAICE_MAP2VEC(nVec,uIceRes,vIceRes,resTmp,.TRUE.,myThid)
524         CALL SEAICE_SCALPROD(nVec,1,1,1,resTmp,resTmp,resLoc,myThid)         CALL SEAICE_SCALPROD(nVec,1,1,1,resTmp,resTmp,resLoc,myThid)
525         resLoc = SQRT(resLoc)         resLoc = SQRT(resLoc)
526    C     Determine, if we need more iterations
527           doLineSearch = resLoc .GE. JFNKresidual
528    C     Limit the maximum number of iterations arbitrarily to four
529           doLineSearch = doLineSearch .AND. l .LT. 4
530    C     For the first iteration du/vIce = 0 and there will be no
531    C     improvement of the residual possible, so we do only the first
532    C     iteration
533           IF ( newtonIter .EQ. 1 ) doLineSearch = .FALSE.
534    C     Only start a linesearch after some Newton iterations
535           IF ( newtonIter .LE. SEAICE_JFNK_lsIter ) doLineSearch = .FALSE.
536    C     Increment counter
537           l = l + 1
538  C     some output diagnostics  C     some output diagnostics
539         IF ( debugLevel.GE.debLevA .AND. doLineSearch ) THEN         IF ( debugLevel.GE.debLevA .AND. doLineSearch ) THEN
540          _BEGIN_MASTER( myThid )          _BEGIN_MASTER( myThid )
541          WRITE(msgBuf,'(2A,2(1XI6),3E12.5)')          WRITE(msgBuf,'(2A,2(1XI6),3E12.5)')
542       &       ' S/R SEAICE_JFNK_UPDATE: Newton iter, LSiter, ',       &       ' S/R SEAICE_JFNK_UPDATE: Newton iter, LSiter, ',
543       &       'facLS, JFNKresidual, resLoc = ',       &       'facLS, JFNKresidual, resLoc = ',
544       &        newtonIter, l, facLS, JFNKresidual, resLoc       &        newtonIter, l, facLS, JFNKresidual, resLoc
# Line 527  C     iterations, 0.25*du/vIce in the se Line 554  C     iterations, 0.25*du/vIce in the se
554  C     This is the new residual  C     This is the new residual
555        JFNKresidual = resLoc        JFNKresidual = resLoc
556    
557  #endif /* SEAICE_ALLOW_DYNAMICS and SEAICE_CGRID and SEAICE_ALLOW_JFNK */  #endif /* SEAICE_ALLOW_JFNK */
558    
559        RETURN        RETURN
560        END        END
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