/[MITgcm]/MITgcm/pkg/seaice/seaice_jfnk.F
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revision 1.11 by mlosch, Mon Dec 3 15:49:17 2012 UTC revision 1.27 by gforget, Mon Oct 20 03:20:57 2014 UTC
# Line 2  C $Header$ Line 2  C $Header$
2  C $Name$  C $Name$
3    
4  #include "SEAICE_OPTIONS.h"  #include "SEAICE_OPTIONS.h"
5    #ifdef ALLOW_AUTODIFF
6    # include "AUTODIFF_OPTIONS.h"
7    #endif
8    
9    C--  File seaice_jfnk.F: seaice jfnk dynamical solver S/R:
10    C--   Contents
11    C--   o SEAICE_JFNK
12    C--   o SEAICE_JFNK_UPDATE
13    
14  CBOP  CBOP
15  C     !ROUTINE: SEAICE_JFNK  C     !ROUTINE: SEAICE_JFNK
# Line 10  C     !INTERFACE: Line 18  C     !INTERFACE:
18    
19  C     !DESCRIPTION: \bv  C     !DESCRIPTION: \bv
20  C     *==========================================================*  C     *==========================================================*
21  C     | SUBROUTINE SEAICE_JFKF  C     | SUBROUTINE SEAICE_JFNK
22  C     | o Ice dynamics using a Jacobian-free Newton-Krylov solver  C     | o Ice dynamics using a Jacobian-free Newton-Krylov solver
23  C     |   following J.-F. Lemieux et al. Improving the numerical  C     |   following J.-F. Lemieux et al. Improving the numerical
24  C     |   convergence of viscous-plastic sea ice models with the  C     |   convergence of viscous-plastic sea ice models with the
# Line 48  C     myThid :: my Thread Id. number Line 56  C     myThid :: my Thread Id. number
56        INTEGER myIter        INTEGER myIter
57        INTEGER myThid        INTEGER myThid
58    
59  #if ( (defined SEAICE_CGRID) && \  #ifdef SEAICE_ALLOW_JFNK
       (defined SEAICE_ALLOW_JFNK) && \  
       (defined SEAICE_ALLOW_DYNAMICS) )  
60  C     !FUNCTIONS:  C     !FUNCTIONS:
61        LOGICAL  DIFFERENT_MULTIPLE        LOGICAL  DIFFERENT_MULTIPLE
62        EXTERNAL DIFFERENT_MULTIPLE        EXTERNAL DIFFERENT_MULTIPLE
63    
64    C     !LOCAL VARIABLES:
65    C     === Local variables ===
66  C     i,j,bi,bj :: loop indices  C     i,j,bi,bj :: loop indices
67        INTEGER i,j,bi,bj        INTEGER i,j,bi,bj
68  C     loop indices  C     loop indices
69        INTEGER newtonIter        INTEGER newtonIter
70        INTEGER krylovIter, krylovFails        INTEGER krylovIter, krylovFails
71        INTEGER totalKrylovItersLoc        INTEGER totalKrylovItersLoc, totalNewtonItersLoc
72  C     FGMRES flag that determines amount of output messages of fgmres  C     FGMRES flag that determines amount of output messages of fgmres
73        INTEGER iOutFGMRES        INTEGER iOutFGMRES
74  C     FGMRES flag that indicates what fgmres wants us to do next  C     FGMRES flag that indicates what fgmres wants us to do next
75        INTEGER iCode        INTEGER iCode
76        _RL     JFNKresidual, JFNKresidualTile(nSx,nSy)        _RL     JFNKresidual
77        _RL     JFNKresidualKm1        _RL     JFNKresidualKm1
78  C     parameters to compute convergence criterion  C     parameters to compute convergence criterion
79        _RL     phi_e, alp_e, JFNKgamma_lin        _RL     JFNKgamma_lin
80        _RL     FGMRESeps        _RL     FGMRESeps
81        _RL     JFNKtol        _RL     JFNKtol
82  C      C     backward differences extrapolation factors
83          _RL bdfFac, bdfAlpha
84    C
85        _RL     recip_deltaT        _RL     recip_deltaT
86        LOGICAL JFNKconverged, krylovConverged        LOGICAL JFNKconverged, krylovConverged
87        LOGICAL writeNow        LOGICAL writeNow
88        CHARACTER*(MAX_LEN_MBUF) msgBuf        CHARACTER*(MAX_LEN_MBUF) msgBuf
89  C  
90  C     u/vIceRes :: residual of sea-ice momentum equations  C     u/vIceRes :: residual of sea-ice momentum equations
91        _RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
92        _RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
93    C     extra time level required for backward difference time stepping
94          _RL duIcNm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
95          _RL dvIcNm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
96  C     du/vIce   :: ice velocity increment to be added to u/vIce  C     du/vIce   :: ice velocity increment to be added to u/vIce
97        _RL duIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL duIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
98        _RL dvIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL dvIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
99  C     precomputed (= constant per Newton iteration) versions of  C     precomputed (= constant per Newton iteration) versions of
100  C     zeta, eta, and DWATN, press  C     zeta, eta, and DWATN, press
101        _RL zetaPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL zetaPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
102        _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 103  C     Initialise Line 116  C     Initialise
116        recip_deltaT        = 1. _d 0 / SEAICE_deltaTdyn        recip_deltaT        = 1. _d 0 / SEAICE_deltaTdyn
117    
118        iOutFGMRES=0        iOutFGMRES=0
119  C     iOutFgmres=1 gives a little bit of output  C     with iOutFgmres=1, seaice_fgmres prints the residual at each iteration
120        IF ( debugLevel.GE.debLevA .AND.        IF ( debugLevel.GE.debLevC .AND.
121       &     DIFFERENT_MULTIPLE( SEAICE_monFreq, myTime, deltaTClock ) )       &     DIFFERENT_MULTIPLE( SEAICE_monFreq, myTime, deltaTClock ) )
122       &     iOutFGMRES=1       &     iOutFGMRES=1
123    
124  C      C     backward difference extrapolation factors
125          bdfFac = 0. _d 0
126          IF ( SEAICEuseBDF2 ) THEN
127           IF ( myIter.EQ.nIter0 .AND. SEAICEmomStartBDF.EQ.0 ) THEN
128            bdfFac = 0. _d 0
129           ELSE
130            bdfFac = 0.5 _d 0
131           ENDIF
132          ENDIF
133          bdfAlpha = 1. _d 0 + bdfFac
134    
135        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
136         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
137          DO J=1-Oly,sNy+Oly          DO J=1-OLy,sNy+OLy
138           DO I=1-Olx,sNx+Olx           DO I=1-OLx,sNx+OLx
139            uIceRes(I,J,bi,bj) = 0. _d 0            uIceRes(I,J,bi,bj) = 0. _d 0
140            vIceRes(I,J,bi,bj) = 0. _d 0            vIceRes(I,J,bi,bj) = 0. _d 0
141            duIce  (I,J,bi,bj) = 0. _d 0            duIce  (I,J,bi,bj) = 0. _d 0
142            dvIce  (I,J,bi,bj) = 0. _d 0            dvIce  (I,J,bi,bj) = 0. _d 0
143             ENDDO
144            ENDDO
145    C     cycle ice velocities
146            DO J=1-OLy,sNy+OLy
147             DO I=1-OLx,sNx+OLx
148              duIcNm1(I,J,bi,bj) = uIce(I,J,bi,bj) * bdfAlpha
149         &         + ( uIce(I,J,bi,bj) - uIceNm1(I,J,bi,bj) ) * bdfFac
150              dvIcNm1(I,J,bi,bj) = vIce(I,J,bi,bj) * bdfAlpha
151         &         + ( vIce(I,J,bi,bj) - vIceNm1(I,J,bi,bj) ) * bdfFac
152            uIceNm1(I,J,bi,bj) = uIce(I,J,bi,bj)            uIceNm1(I,J,bi,bj) = uIce(I,J,bi,bj)
153            vIceNm1(I,J,bi,bj) = vIce(I,J,bi,bj)            vIceNm1(I,J,bi,bj) = vIce(I,J,bi,bj)
154           ENDDO           ENDDO
155          ENDDO          ENDDO
156    C     As long as IMEX is not properly implemented leave this commented out
157    CML        IF ( .NOT.SEAICEuseIMEX ) THEN
158  C     Compute things that do no change during the Newton iteration:  C     Compute things that do no change during the Newton iteration:
159  C     sea-surface tilt and wind stress:  C     sea-surface tilt and wind stress:
160  C     FORCEX/Y0 - mass*(u/vIceNm1)/deltaT  C     FORCEX/Y0 - mass*(1.5*u/vIceNm1+0.5*(u/vIceNm1-u/vIceNm2))/deltaT
161          DO J=1-Oly,sNy+Oly          DO J=1-OLy,sNy+OLy
162           DO I=1-Olx,sNx+Olx           DO I=1-OLx,sNx+OLx
163            FORCEX(I,J,bi,bj) = FORCEX0(I,J,bi,bj)            FORCEX(I,J,bi,bj) = FORCEX0(I,J,bi,bj)
164       &         + seaiceMassU(I,J,bi,bj)*uIceNm1(I,J,bi,bj)*recip_deltaT           &         + seaiceMassU(I,J,bi,bj)*duIcNm1(I,J,bi,bj)*recip_deltaT
165            FORCEY(I,J,bi,bj) = FORCEY0(I,J,bi,bj)            FORCEY(I,J,bi,bj) = FORCEY0(I,J,bi,bj)
166       &         + seaiceMassV(I,J,bi,bj)*vIceNm1(I,J,bi,bj)*recip_deltaT           &         + seaiceMassV(I,J,bi,bj)*dvIcNm1(I,J,bi,bj)*recip_deltaT
167           ENDDO           ENDDO
168          ENDDO          ENDDO
169    CML        ENDIF
170         ENDDO         ENDDO
171        ENDDO        ENDDO
172  C     Start nonlinear Newton iteration: outer loop iteration  C     Start nonlinear Newton iteration: outer loop iteration
# Line 140  C     Start nonlinear Newton iteration: Line 175  C     Start nonlinear Newton iteration:
175         newtonIter = newtonIter + 1         newtonIter = newtonIter + 1
176  C     Compute initial residual F(u), (includes computation of global  C     Compute initial residual F(u), (includes computation of global
177  C     variables DWATN, zeta, and eta)  C     variables DWATN, zeta, and eta)
178         CALL SEAICE_CALC_RESIDUAL(         IF ( newtonIter .EQ. 1 ) CALL SEAICE_JFNK_UPDATE(
179       I      uIce, vIce,       I      duIce, dvIce,
180       O      uIceRes, vIceRes,       U      uIce, vIce, JFNKresidual,
181       I      newtonIter, 0, myTime, myIter, myThid )       O      uIceRes, vIceRes,
182         CALL EXCH_UV_XY_RL( uIceRes, vIceRes,.TRUE.,myThid)       I      newtonIter, myTime, myIter, myThid )
183  C     local copies of precomputed coefficients that are to stay  C     local copies of precomputed coefficients that are to stay
184  C     constant for the preconditioner  C     constant for the preconditioner
185         DO bj=myByLo(myThid),myByHi(myThid)         DO bj=myByLo(myThid),myByHi(myThid)
186          DO bi=myBxLo(myThid),myBxHi(myThid)          DO bi=myBxLo(myThid),myBxHi(myThid)
187           DO j=1-Oly,sNy+Oly           DO j=1-OLy,sNy+OLy
188            DO i=1-Olx,sNx+Olx            DO i=1-OLx,sNx+OLx
189             zetaPre(I,J,bi,bj) =  zeta(I,J,bi,bj)             zetaPre(I,J,bi,bj) =  zeta(I,J,bi,bj)
190              etaPre(I,J,bi,bj) =   eta(I,J,bi,bj)              etaPre(I,J,bi,bj) =   eta(I,J,bi,bj)
191             etaZPre(I,J,bi,bj) =  etaZ(I,J,bi,bj)             etaZPre(I,J,bi,bj) =  etaZ(I,J,bi,bj)
# Line 159  C     constant for the preconditioner Line 194  C     constant for the preconditioner
194           ENDDO           ENDDO
195          ENDDO          ENDDO
196         ENDDO         ENDDO
 C      
        DO bj=myByLo(myThid),myByHi(myThid)  
         DO bi=myBxLo(myThid),myBxHi(myThid)  
          JFNKresidualTile(bi,bj) = 0. _d 0  
          DO J=1,sNy  
           DO I=1,sNx  
 #ifdef CG2D_SINGLECPU_SUM  
            JFNKlocalBuf(I,J,bi,bj) =  
 #else  
            JFNKresidualTile(bi,bj) = JFNKresidualTile(bi,bj) +  
 #endif  
      &          uIceRes(I,J,bi,bj)*uIceRes(I,J,bi,bj) +  
      &          vIceRes(I,J,bi,bj)*vIceRes(I,J,bi,bj)  
           ENDDO  
          ENDDO  
         ENDDO  
        ENDDO  
        JFNKresidual = 0. _d 0  
 #ifdef CG2D_SINGLECPU_SUM  
        CALL GLOBAL_SUM_SINGLECPU_RL(  
      &         JFNKlocalBuf,JFNKresidual, 0, 0, myThid)  
 #else  
        CALL GLOBAL_SUM_TILE_RL( JFNKresidualTile,JFNKresidual,myThid )  
 #endif  
        JFNKresidual = SQRT(JFNKresidual)  
197  C     compute convergence criterion for linear preconditioned FGMRES  C     compute convergence criterion for linear preconditioned FGMRES
198         JFNKgamma_lin = JFNKgamma_lin_max         JFNKgamma_lin = JFNKgamma_lin_max
199         IF ( newtonIter.GT.1.AND.newtonIter.LE.100         IF ( newtonIter.GT.1.AND.newtonIter.LE.SEAICE_JFNK_tolIter
200       &      .AND.JFNKresidual.LT.JFNKres_t ) THEN       &      .AND.JFNKresidual.LT.JFNKres_t ) THEN
201  C     Eisenstat, 1996, equ.(2.6)        C     Eisenstat and Walker (1996), eq.(2.6)
202          phi_e = 1. _d 0          JFNKgamma_lin = SEAICE_JFNKphi
203          alp_e = 1. _d 0       &       *( JFNKresidual/JFNKresidualKm1 )**SEAICE_JFNKalpha
         JFNKgamma_lin = phi_e*( JFNKresidual/JFNKresidualKm1 )**alp_e  
204          JFNKgamma_lin = min(JFNKgamma_lin_max, JFNKgamma_lin)          JFNKgamma_lin = min(JFNKgamma_lin_max, JFNKgamma_lin)
205          JFNKgamma_lin = max(JFNKgamma_lin_min, JFNKgamma_lin)          JFNKgamma_lin = max(JFNKgamma_lin_min, JFNKgamma_lin)
206         ENDIF         ENDIF
207  C     save the residual for the next iteration  C     save the residual for the next iteration
208         JFNKresidualKm1 = JFNKresidual         JFNKresidualKm1 = JFNKresidual
209  C  
210  C     The Krylov iteration using FGMRES, the preconditioner is LSOR  C     The Krylov iteration using FGMRES, the preconditioner is LSOR
211  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
212  C     down.  C     down.
# Line 205  C     krylovIter is mapped into "its" in Line 214  C     krylovIter is mapped into "its" in
214  C     in that routine  C     in that routine
215         krylovIter    = 0         krylovIter    = 0
216         iCode         = 0         iCode         = 0
217         IF ( debugLevel.GE.debLevA ) THEN    
         _BEGIN_MASTER( myThid )  
         WRITE(msgBuf,'(2A,2(1XI6),2E12.5)')  
      &       ' S/R SEAICE_JFNK: newtonIter,',  
      &       ' total newtonIter, JFNKgamma_lin, initial norm = ',  
      &       newtonIter,SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter,  
      &       JFNKgamma_lin, JFNKresidual  
         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,  
      &       SQUEEZE_RIGHT, myThid )  
         _END_MASTER( myThid )  
        ENDIF  
 C  
218         JFNKconverged = JFNKresidual.LT.JFNKtol         JFNKconverged = JFNKresidual.LT.JFNKtol
219  C  
220  C     do Krylov loop only if convergence is not reached  C     do Krylov loop only if convergence is not reached
221  C  
222         IF ( .NOT.JFNKconverged ) THEN         IF ( .NOT.JFNKconverged ) THEN
223  C  
224  C     start Krylov iteration (FGMRES)  C     start Krylov iteration (FGMRES)
225  C  
226          krylovConverged = .FALSE.          krylovConverged = .FALSE.
227          FGMRESeps = JFNKgamma_lin * JFNKresidual          FGMRESeps = JFNKgamma_lin * JFNKresidual
228          DO WHILE ( .NOT.krylovConverged )          DO WHILE ( .NOT.krylovConverged )
229  C     solution vector sol = du/vIce  C     solution vector sol = du/vIce
230  C     residual vector (rhs) Fu = u/vIceRes  C     residual vector (rhs) Fu = u/vIceRes
231  C     output work vectors wk1, -> input work vector wk2  C     output work vectors wk1, -> input work vector wk2
232  C      
233           CALL SEAICE_FGMRES_DRIVER(           CALL SEAICE_FGMRES_DRIVER(
234       I        uIceRes, vIceRes,       I        uIceRes, vIceRes,
235       U        duIce, dvIce, iCode,       U        duIce, dvIce, iCode,
236       I        FGMRESeps, iOutFGMRES,       I        FGMRESeps, iOutFGMRES,
237       I        newtonIter, krylovIter, myTime, myIter, myThid )       I        newtonIter, krylovIter, myTime, myIter, myThid )
# Line 241  C     FGMRES returns iCode either asking Line 239  C     FGMRES returns iCode either asking
239  C     or product of matrix (Jacobian) times vector. For iCode = 0, terminate  C     or product of matrix (Jacobian) times vector. For iCode = 0, terminate
240  C     iteration  C     iteration
241           IF (iCode.EQ.1) THEN           IF (iCode.EQ.1) THEN
242  C     Call preconditioner  C     Call preconditioner
243            IF ( SOLV_MAX_ITERS .GT. 0 )            IF ( SOLV_MAX_ITERS .GT. 0 )
244       &         CALL SEAICE_PRECONDITIONER(       &         CALL SEAICE_PRECONDITIONER(
245       U         duIce, dvIce,       U         duIce, dvIce,
246       I         zetaPre, etaPre, etaZpre, dwatPre,       I         zetaPre, etaPre, etaZpre, dwatPre,
247       I         newtonIter, krylovIter, myTime, myIter, myThid )       I         newtonIter, krylovIter, myTime, myIter, myThid )
248           ELSEIF (iCode.GE.2) THEN           ELSEIF (iCode.GE.2) THEN
249  C     Compute Jacobian times vector  C     Compute Jacobian times vector
250            CALL SEAICE_JACVEC(            CALL SEAICE_JACVEC(
251       I         uIce, vIce, uIceRes, vIceRes,       I         uIce, vIce, uIceRes, vIceRes,
252       U         duIce, dvIce,         U         duIce, dvIce,
253       I         newtonIter, krylovIter, myTime, myIter, myThid )       I         newtonIter, krylovIter, myTime, myIter, myThid )
254           ENDIF           ENDIF
255           krylovConverged = iCode.EQ.0           krylovConverged = iCode.EQ.0
# Line 261  C     End of Krylov iterate Line 259  C     End of Krylov iterate
259  C     some output diagnostics  C     some output diagnostics
260          IF ( debugLevel.GE.debLevA ) THEN          IF ( debugLevel.GE.debLevA ) THEN
261           _BEGIN_MASTER( myThid )           _BEGIN_MASTER( myThid )
262             totalNewtonItersLoc =
263         &        SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter
264             WRITE(msgBuf,'(2A,2(1XI6),2E12.5)')
265         &        ' S/R SEAICE_JFNK: Newton iterate / total, ',
266         &        'JFNKgamma_lin, initial norm = ',
267         &        newtonIter, totalNewtonItersLoc,
268         &        JFNKgamma_lin,JFNKresidual
269             CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
270         &        SQUEEZE_RIGHT, myThid )
271           WRITE(msgBuf,'(3(A,I6))')           WRITE(msgBuf,'(3(A,I6))')
272       &        ' S/R SEAICE_JFNK: Newton iterate / total = ', newtonIter,       &        ' S/R SEAICE_JFNK: Newton iterate / total = ',newtonIter,
273       &        ' / ', SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter,       &        ' / ', totalNewtonItersLoc,
274       &        ', Nb. of FGMRES iterations = ', krylovIter       &        ', Nb. of FGMRES iterations = ', krylovIter
275           CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,           CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
276       &        SQUEEZE_RIGHT, myThid )       &        SQUEEZE_RIGHT, myThid )
# Line 272  C     some output diagnostics Line 279  C     some output diagnostics
279          IF ( krylovIter.EQ.SEAICEkrylovIterMax ) THEN          IF ( krylovIter.EQ.SEAICEkrylovIterMax ) THEN
280           krylovFails = krylovFails + 1           krylovFails = krylovFails + 1
281          ENDIF          ENDIF
282    C     Set the stopping criterion for the Newton iteration and the
283    C     criterion for the transition from accurate to approximate FGMRES
284            IF ( newtonIter .EQ. 1 ) THEN
285             JFNKtol=JFNKgamma_nonlin*JFNKresidual
286             IF ( JFNKres_tFac .NE. UNSET_RL )
287         &        JFNKres_t = JFNKresidual * JFNKres_tFac
288            ENDIF
289  C     Update linear solution vector and return to Newton iteration  C     Update linear solution vector and return to Newton iteration
290    C     Do a linesearch if necessary, and compute a new residual.
291    C     Note that it should be possible to do the following operations
292    C     at the beginning of the Newton iteration, thereby saving us from
293    C     the extra call of seaice_jfnk_update, but unfortunately that
294    C     changes the results, so we leave the stuff here for now.
295            CALL SEAICE_JFNK_UPDATE(
296         I       duIce, dvIce,
297         U       uIce, vIce, JFNKresidual,
298         O       uIceRes, vIceRes,
299         I       newtonIter, myTime, myIter, myThid )
300    C     reset du/vIce here instead of setting sol = 0 in seaice_fgmres_driver
301          DO bj=myByLo(myThid),myByHi(myThid)          DO bj=myByLo(myThid),myByHi(myThid)
302           DO bi=myBxLo(myThid),myBxHi(myThid)           DO bi=myBxLo(myThid),myBxHi(myThid)
303            DO J=1-Oly,sNy+Oly            DO J=1-OLy,sNy+OLy
304             DO I=1-Olx,sNx+Olx             DO I=1-OLx,sNx+OLx
             uIce(I,J,bi,bj) = uIce(I,J,bi,bj)+duIce(I,J,bi,bj)  
             vIce(I,J,bi,bj) = vIce(I,J,bi,bj)+dvIce(I,J,bi,bj)  
 C     reset du/vIce here instead of setting sol = 0 in seaice_fgmres_driver  
305              duIce(I,J,bi,bj)= 0. _d 0              duIce(I,J,bi,bj)= 0. _d 0
306              dvIce(I,J,bi,bj)= 0. _d 0              dvIce(I,J,bi,bj)= 0. _d 0
307             ENDDO             ENDDO
308            ENDDO            ENDDO
309           ENDDO           ENDDO
310          ENDDO          ENDDO
 C     Set the stopping criterion for the Newton iteration  
         IF ( newtonIter .EQ. 1 ) JFNKtol=JFNKgamma_nonlin*JFNKresidual  
311         ENDIF         ENDIF
312  C     end of Newton iterate  C     end of Newton iterate
313        ENDDO        ENDDO
314  C  
315  C--   Output diagnostics  C--   Output diagnostics
316  C  
317        IF ( SEAICE_monFreq .GT. 0. _d 0 ) THEN        IF ( SEAICE_monFreq .GT. 0. _d 0 ) THEN
318  C     Count iterations  C     Count iterations
319         totalJFNKtimeSteps = totalJFNKtimeSteps + 1         totalJFNKtimeSteps = totalJFNKtimeSteps + 1
# Line 302  C     Count iterations Line 322  C     Count iterations
322  C     Record failure  C     Record failure
323         totalKrylovFails   = totalKrylovFails + krylovFails         totalKrylovFails   = totalKrylovFails + krylovFails
324         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN
325          totalNewtonFails = totalNewtonFails + 1          totalNewtonFails = totalNewtonFails + 1
326         ENDIF         ENDIF
327        ENDIF        ENDIF
328  C     Decide whether it is time to dump and reset the counter  C     Decide whether it is time to dump and reset the counter
329        writeNow = DIFFERENT_MULTIPLE(SEAICE_monFreq,        writeNow = DIFFERENT_MULTIPLE(SEAICE_monFreq,
330       &     myTime+deltaTClock, deltaTClock)       &     myTime+deltaTClock, deltaTClock)
331  #ifdef ALLOW_CAL  #ifdef ALLOW_CAL
332        IF ( useCAL ) THEN        IF ( useCAL ) THEN
333         CALL CAL_TIME2DUMP(         CALL CAL_TIME2DUMP(
334       I      zeroRL, SEAICE_monFreq,  deltaTClock,       I      zeroRL, SEAICE_monFreq,  deltaTClock,
335       U      writeNow,       U      writeNow,
336       I      myTime+deltaTclock, myIter+1, myThid )       I      myTime+deltaTclock, myIter+1, myThid )
# Line 318  C     Decide whether it is time to dump Line 338  C     Decide whether it is time to dump
338  #endif  #endif
339        IF ( writeNow ) THEN        IF ( writeNow ) THEN
340         _BEGIN_MASTER( myThid )         _BEGIN_MASTER( myThid )
341         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
342       &' // ======================================================='       &' // ======================================================='
343         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
344       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
345         WRITE(msgBuf,'(A)') ' // Begin JFNK statistics'         WRITE(msgBuf,'(A)') ' // Begin JFNK statistics'
346         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
347       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
348         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
349       &' // ======================================================='       &' // ======================================================='
350         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
351       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
352         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
353       &      ' %JFNK_MON: time step              = ', myIter+1       &      ' %JFNK_MON: time step              = ', myIter+1
354         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
355       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
356         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
357       &      ' %JFNK_MON: Nb. of time steps      = ', totalJFNKtimeSteps       &      ' %JFNK_MON: Nb. of time steps      = ', totalJFNKtimeSteps
358         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
359       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
360         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
361       &      ' %JFNK_MON: Nb. of Newton steps    = ', totalNewtonIters       &      ' %JFNK_MON: Nb. of Newton steps    = ', totalNewtonIters
362         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
363       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
364         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
365       &      ' %JFNK_MON: Nb. of Krylov steps    = ', totalKrylovIters       &      ' %JFNK_MON: Nb. of Krylov steps    = ', totalKrylovIters
366         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
367       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
368         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
369       &      ' %JFNK_MON: Nb. of Newton failures = ', totalNewtonFails       &      ' %JFNK_MON: Nb. of Newton failures = ', totalNewtonFails
370         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
371       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
372         WRITE(msgBuf,'(A,I10)')         WRITE(msgBuf,'(A,I10)')
373       &      ' %JFNK_MON: Nb. of Krylov failures = ', totalKrylovFails       &      ' %JFNK_MON: Nb. of Krylov failures = ', totalKrylovFails
374         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
375       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
376         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
377       &' // ======================================================='       &' // ======================================================='
378         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
379       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
380         WRITE(msgBuf,'(A)') ' // End JFNK statistics'         WRITE(msgBuf,'(A)') ' // End JFNK statistics'
381         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
382       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
383         WRITE(msgBuf,'(A)')         WRITE(msgBuf,'(A)')
384       &' // ======================================================='       &' // ======================================================='
385         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
386       &      SQUEEZE_RIGHT, myThid )       &      SQUEEZE_RIGHT, myThid )
# Line 377  C     Print more debugging information Line 397  C     Print more debugging information
397        IF ( debugLevel.GE.debLevA ) THEN        IF ( debugLevel.GE.debLevA ) THEN
398         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN         IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN
399          _BEGIN_MASTER( myThid )          _BEGIN_MASTER( myThid )
400          WRITE(msgBuf,'(A,I10)')          WRITE(msgBuf,'(A,I10)')
401       &       ' S/R SEAICE_JFNK: JFNK did not converge in timestep ',       &       ' S/R SEAICE_JFNK: JFNK did not converge in timestep ',
402       &       myIter+1       &       myIter+1
403          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 386  C     Print more debugging information Line 406  C     Print more debugging information
406         ENDIF         ENDIF
407         IF ( krylovFails .GT. 0 ) THEN         IF ( krylovFails .GT. 0 ) THEN
408          _BEGIN_MASTER( myThid )          _BEGIN_MASTER( myThid )
409          WRITE(msgBuf,'(A,I4,A,I10)')          WRITE(msgBuf,'(A,I4,A,I10)')
410       &       ' S/R SEAICE_JFNK: FGMRES did not converge ',       &       ' S/R SEAICE_JFNK: FGMRES did not converge ',
411       &       krylovFails, ' times in timestep ', myIter+1       &       krylovFails, ' times in timestep ', myIter+1
412          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,          CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 394  C     Print more debugging information Line 414  C     Print more debugging information
414          _END_MASTER( myThid )          _END_MASTER( myThid )
415         ENDIF         ENDIF
416         _BEGIN_MASTER( myThid )         _BEGIN_MASTER( myThid )
417         WRITE(msgBuf,'(A,I6,A,I10)')         WRITE(msgBuf,'(A,I6,A,I10)')
418       &      ' S/R SEAICE_JFNK: Total number FGMRES iterations = ',       &      ' S/R SEAICE_JFNK: Total number FGMRES iterations = ',
419       &      totalKrylovItersLoc, ' in timestep ', myIter+1       &      totalKrylovItersLoc, ' in timestep ', myIter+1
420         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,         CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
# Line 402  C     Print more debugging information Line 422  C     Print more debugging information
422         _END_MASTER( myThid )         _END_MASTER( myThid )
423        ENDIF        ENDIF
424    
425  #endif /* SEAICE_ALLOW_DYNAMICS and SEAICE_CGRID and SEAICE_ALLOW_JFNK */        RETURN
426          END
427    
428    C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
429    CBOP
430    C     !ROUTINE: SEAICE_JFNK_UPDATE
431    C     !INTERFACE:
432    
433          SUBROUTINE SEAICE_JFNK_UPDATE(
434         I     duIce, dvIce,
435         U     uIce, vIce, JFNKresidual,
436         O     uIceRes, vIceRes,
437         I     newtonIter, myTime, myIter, myThid )
438    
439    C     !DESCRIPTION: \bv
440    C     *==========================================================*
441    C     | SUBROUTINE SEAICE_JFNK_UPDATE
442    C     | o Update velocities with incremental solutions of FGMRES
443    C     | o compute residual of updated solutions and do
444    C     | o linesearch:
445    C     |   reduce update until residual is smaller than previous
446    C     |   one (input)
447    C     *==========================================================*
448    C     | written by Martin Losch, Jan 2013
449    C     *==========================================================*
450    C     \ev
451    
452    C     !USES:
453          IMPLICIT NONE
454    
455    C     === Global variables ===
456    #include "SIZE.h"
457    #include "EEPARAMS.h"
458    #include "PARAMS.h"
459    #include "SEAICE_SIZE.h"
460    #include "SEAICE_PARAMS.h"
461    
462    C     !INPUT/OUTPUT PARAMETERS:
463    C     === Routine arguments ===
464    C     myTime :: Simulation time
465    C     myIter :: Simulation timestep number
466    C     myThid :: my Thread Id. number
467    C     newtonIter :: current iterate of Newton iteration
468          _RL     myTime
469          INTEGER myIter
470          INTEGER myThid
471          INTEGER newtonIter
472    C     JFNKresidual :: Residual at the beginning of the FGMRES iteration,
473    C                     changes with newtonIter (updated)
474          _RL     JFNKresidual
475    C     du/vIce   :: ice velocity increment to be added to u/vIce (input)
476          _RL duIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
477          _RL dvIce  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
478    C     u/vIce    :: ice velocity increment to be added to u/vIce (updated)
479          _RL uIce   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
480          _RL vIce   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
481    C     u/vIceRes :: residual of sea-ice momentum equations (output)
482          _RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
483          _RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
484    
485    C     !LOCAL VARIABLES:
486    C     === Local variables ===
487    C     i,j,bi,bj :: loop indices
488          INTEGER i,j,bi,bj
489          INTEGER l
490          _RL     resLoc, facLS
491          LOGICAL doLineSearch
492    C     nVec    :: size of the input vector(s)
493    C     resTmp  :: vector version of the residuals
494          INTEGER nVec
495          PARAMETER ( nVec  = 2*sNx*sNy )
496          _RL resTmp (nVec,1,nSx,nSy)
497    
498          CHARACTER*(MAX_LEN_MBUF) msgBuf
499    CEOP
500    
501    C     Initialise some local variables
502          l = 0
503          resLoc = JFNKresidual
504          facLS = 1. _d 0
505          doLineSearch = .TRUE.
506          DO WHILE ( doLineSearch )
507    C     Create update
508           DO bj=myByLo(myThid),myByHi(myThid)
509            DO bi=myBxLo(myThid),myBxHi(myThid)
510             DO J=1-OLy,sNy+OLy
511              DO I=1-OLx,sNx+OLx
512               uIce(I,J,bi,bj) = uIce(I,J,bi,bj)+facLS*duIce(I,J,bi,bj)
513               vIce(I,J,bi,bj) = vIce(I,J,bi,bj)+facLS*dvIce(I,J,bi,bj)
514              ENDDO
515             ENDDO
516            ENDDO
517           ENDDO
518    C     Compute current residual F(u), (includes re-computation of global
519    C     variables DWATN, zeta, and eta, i.e. they are different after this)
520           CALL SEAICE_CALC_RESIDUAL(
521         I      uIce, vIce,
522         O      uIceRes, vIceRes,
523         I      newtonIter, 0, myTime, myIter, myThid )
524    C     Important: Compute the norm of the residual using the same scalar
525    C     product that SEAICE_FGMRES does
526           CALL SEAICE_MAP2VEC(nVec,uIceRes,vIceRes,resTmp,.TRUE.,myThid)
527           CALL SEAICE_SCALPROD(nVec,1,1,1,resTmp,resTmp,resLoc,myThid)
528           resLoc = SQRT(resLoc)
529    C     Determine, if we need more iterations
530           doLineSearch = resLoc .GE. JFNKresidual
531    C     Limit the maximum number of iterations arbitrarily to four
532           doLineSearch = doLineSearch .AND. l .LT. 4
533    C     For the first iteration du/vIce = 0 and there will be no
534    C     improvement of the residual possible, so we do only the first
535    C     iteration
536           IF ( newtonIter .EQ. 1 ) doLineSearch = .FALSE.
537    C     Only start a linesearch after some Newton iterations
538           IF ( newtonIter .LE. SEAICE_JFNK_lsIter ) doLineSearch = .FALSE.
539    C     Increment counter
540           l = l + 1
541    C     some output diagnostics
542           IF ( debugLevel.GE.debLevA .AND. doLineSearch ) THEN
543            _BEGIN_MASTER( myThid )
544            WRITE(msgBuf,'(2A,2(1XI6),3E12.5)')
545         &       ' S/R SEAICE_JFNK_UPDATE: Newton iter, LSiter, ',
546         &       'facLS, JFNKresidual, resLoc = ',
547         &        newtonIter, l, facLS, JFNKresidual, resLoc
548            CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
549         &       SQUEEZE_RIGHT, myThid )
550            _END_MASTER( myThid )
551           ENDIF
552    C     Get ready for the next iteration: after adding du/vIce in the first
553    C     iteration, we substract 0.5*du/vIce from u/vIce in the next
554    C     iterations, 0.25*du/vIce in the second, etc.
555           facLS = - 0.5 _d 0 * ABS(facLS)
556          ENDDO
557    C     This is the new residual
558          JFNKresidual = resLoc
559    
560    #endif /* SEAICE_ALLOW_JFNK */
561    
562        RETURN        RETURN
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