/[MITgcm]/MITgcm/model/src/dynamics.F
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revision 1.167 by jmc, Tue Nov 5 13:34:31 2013 UTC revision 1.174 by jmc, Fri Aug 15 20:41:50 2014 UTC
# Line 3  C $Name$ Line 3  C $Name$
3    
4  #include "PACKAGES_CONFIG.h"  #include "PACKAGES_CONFIG.h"
5  #include "CPP_OPTIONS.h"  #include "CPP_OPTIONS.h"
6    #ifdef ALLOW_AUTODIFF
7    # include "AUTODIFF_OPTIONS.h"
8    #endif
9  #ifdef ALLOW_MOM_COMMON  #ifdef ALLOW_MOM_COMMON
10  # include "MOM_COMMON_OPTIONS.h"  # include "MOM_COMMON_OPTIONS.h"
11  #endif  #endif
# Line 22  C     | SUBROUTINE DYNAMICS Line 25  C     | SUBROUTINE DYNAMICS
25  C     | o Controlling routine for the explicit part of the model  C     | o Controlling routine for the explicit part of the model
26  C     |   dynamics.  C     |   dynamics.
27  C     *==========================================================*  C     *==========================================================*
 C     | This routine evaluates the "dynamics" terms for each  
 C     | block of ocean in turn. Because the blocks of ocean have  
 C     | overlap regions they are independent of one another.  
 C     | If terms involving lateral integrals are needed in this  
 C     | routine care will be needed. Similarly finite-difference  
 C     | operations with stencils wider than the overlap region  
 C     | require special consideration.  
 C     | The algorithm...  
 C     |  
 C     | "Correction Step"  
 C     | =================  
 C     | Here we update the horizontal velocities with the surface  
 C     | pressure such that the resulting flow is either consistent  
 C     | with the free-surface evolution or the rigid-lid:  
 C     |   U[n] = U* + dt x d/dx P  
 C     |   V[n] = V* + dt x d/dy P  
 C     |   W[n] = W* + dt x d/dz P  (NH mode)  
 C     |  
 C     | "Calculation of Gs"  
 C     | ===================  
 C     | This is where all the accelerations and tendencies (ie.  
 C     | physics, parameterizations etc...) are calculated  
 C     |   rho = rho ( theta[n], salt[n] )  
 C     |   b   = b(rho, theta)  
 C     |   K31 = K31 ( rho )  
 C     |   Gu[n] = Gu( u[n], v[n], wVel, b, ... )  
 C     |   Gv[n] = Gv( u[n], v[n], wVel, b, ... )  
 C     |   Gt[n] = Gt( theta[n], u[n], v[n], wVel, K31, ... )  
 C     |   Gs[n] = Gs( salt[n], u[n], v[n], wVel, K31, ... )  
 C     |  
 C     | "Time-stepping" or "Prediction"  
 C     | ================================  
 C     | The models variables are stepped forward with the appropriate  
 C     | time-stepping scheme (currently we use Adams-Bashforth II)  
 C     | - For momentum, the result is always *only* a "prediction"  
 C     | in that the flow may be divergent and will be "corrected"  
 C     | later with a surface pressure gradient.  
 C     | - Normally for tracers the result is the new field at time  
 C     | level [n+1} *BUT* in the case of implicit diffusion the result  
 C     | is also *only* a prediction.  
 C     | - We denote "predictors" with an asterisk (*).  
 C     |   U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] )  
 C     |   V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] )  
 C     |   theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )  
 C     |   salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )  
 C     | With implicit diffusion:  
 C     |   theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )  
 C     |   salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )  
 C     |   (1 + dt * K * d_zz) theta[n] = theta*  
 C     |   (1 + dt * K * d_zz) salt[n] = salt*  
 C     |  
 C     *==========================================================*  
28  C     \ev  C     \ev
29  C     !USES:  C     !USES:
30        IMPLICIT NONE        IMPLICIT NONE
# Line 89  C     == Global variables === Line 40  C     == Global variables ===
40  #ifdef ALLOW_CD_CODE  #ifdef ALLOW_CD_CODE
41  # include "CD_CODE_VARS.h"  # include "CD_CODE_VARS.h"
42  #endif  #endif
43  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF
44  # include "tamc.h"  # include "tamc.h"
45  # include "tamc_keys.h"  # include "tamc_keys.h"
46  # include "FFIELDS.h"  # include "FFIELDS.h"
# Line 111  C     == Global variables === Line 62  C     == Global variables ===
62  # ifdef ALLOW_MOM_FLUXFORM  # ifdef ALLOW_MOM_FLUXFORM
63  #  include "MOM_FLUXFORM.h"  #  include "MOM_FLUXFORM.h"
64  # endif  # endif
65  #endif /* ALLOW_AUTODIFF_TAMC */  #endif /* ALLOW_AUTODIFF */
66    
67  C     !CALLING SEQUENCE:  C     !CALLING SEQUENCE:
68  C     DYNAMICS()  C     DYNAMICS()
# Line 346  C     just ensure that all memory refere Line 297  C     just ensure that all memory refere
297  C     point numbers. This prevents spurious hardware signals due to  C     point numbers. This prevents spurious hardware signals due to
298  C     uninitialised but inert locations.  C     uninitialised but inert locations.
299    
300  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF
301          DO k=1,Nr          DO k=1,Nr
302           DO j=1-OLy,sNy+OLy           DO j=1-OLy,sNy+OLy
303            DO i=1-OLx,sNx+OLx            DO i=1-OLx,sNx+OLx
 cph(  
304  c--   need some re-initialisation here to break dependencies  c--   need some re-initialisation here to break dependencies
 cph)  
305             gU(i,j,k,bi,bj) = 0. _d 0             gU(i,j,k,bi,bj) = 0. _d 0
306             gV(i,j,k,bi,bj) = 0. _d 0             gV(i,j,k,bi,bj) = 0. _d 0
307            ENDDO            ENDDO
308           ENDDO           ENDDO
309          ENDDO          ENDDO
310  #endif /* ALLOW_AUTODIFF_TAMC */  #endif /* ALLOW_AUTODIFF */
311          DO j=1-OLy,sNy+OLy          DO j=1-OLy,sNy+OLy
312           DO i=1-OLx,sNx+OLx           DO i=1-OLx,sNx+OLx
313            fVerU  (i,j,1) = 0. _d 0            fVerU  (i,j,1) = 0. _d 0
# Line 375  cph) Line 324  cph)
324            phiSurfY(i,j)  = 0. _d 0            phiSurfY(i,j)  = 0. _d 0
325            guDissip(i,j)  = 0. _d 0            guDissip(i,j)  = 0. _d 0
326            gvDissip(i,j)  = 0. _d 0            gvDissip(i,j)  = 0. _d 0
327  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF
328            phiHydLow(i,j,bi,bj) = 0. _d 0            phiHydLow(i,j,bi,bj) = 0. _d 0
329  # if (defined NONLIN_FRSURF) && (defined ALLOW_MOM_FLUXFORM)  # if (defined NONLIN_FRSURF) && (defined ALLOW_MOM_FLUXFORM)
330  #  ifndef DISABLE_RSTAR_CODE  #  ifndef DISABLE_RSTAR_CODE
 #   ifndef ALLOW_AUTODIFF_OPENAD  
331            dWtransC(i,j,bi,bj) = 0. _d 0            dWtransC(i,j,bi,bj) = 0. _d 0
332            dWtransU(i,j,bi,bj) = 0. _d 0            dWtransU(i,j,bi,bj) = 0. _d 0
333            dWtransV(i,j,bi,bj) = 0. _d 0            dWtransV(i,j,bi,bj) = 0. _d 0
 #   endif  
334  #  endif  #  endif
335  # endif  # endif
336  #endif  #endif /* ALLOW_AUTODIFF */
337           ENDDO           ENDDO
338          ENDDO          ENDDO
339    
# Line 416  CADJ &                 = comlev1_bibj, k Line 363  CADJ &                 = comlev1_bibj, k
363  #endif /* ALLOW_KPP */  #endif /* ALLOW_KPP */
364  #endif /* ALLOW_AUTODIFF_TAMC */  #endif /* ALLOW_AUTODIFF_TAMC */
365    
366  #if (defined INCLUDE_CALC_DIFFUSIVITY_CALL) && !(defined ALLOW_AUTODIFF)  #ifndef ALLOW_AUTODIFF
367          IF ( .NOT.momViscosity ) THEN          IF ( .NOT.momViscosity ) THEN
368  #endif /* INCLUDE_CALC_DIFFUSIVITY_CALL and not ALLOW_AUTODIFF */  #endif
369            DO k=1,Nr            DO k=1,Nr
370             DO j=1-OLy,sNy+OLy             DO j=1-OLy,sNy+OLy
371              DO i=1-OLx,sNx+OLx              DO i=1-OLx,sNx+OLx
# Line 427  CADJ &                 = comlev1_bibj, k Line 374  CADJ &                 = comlev1_bibj, k
374              ENDDO              ENDDO
375             ENDDO             ENDDO
376            ENDDO            ENDDO
377    #ifndef ALLOW_AUTODIFF
378            ENDIF
379    #endif
380  #ifdef INCLUDE_CALC_DIFFUSIVITY_CALL  #ifdef INCLUDE_CALC_DIFFUSIVITY_CALL
381  C--     Calculate the total vertical viscosity  C--     Calculate the total vertical viscosity
 #ifdef ALLOW_AUTODIFF  
382          IF ( momViscosity ) THEN          IF ( momViscosity ) THEN
 #else  
         ELSE  
 #endif  
383            CALL CALC_VISCOSITY(            CALL CALC_VISCOSITY(
384       I            bi,bj, iMin,iMax,jMin,jMax,       I            bi,bj, iMin,iMax,jMin,jMax,
385       O            KappaRU, KappaRV,       O            KappaRU, KappaRV,
# Line 485  C--       kDown  Cycles through 2,1 to p Line 431  C--       kDown  Cycles through 2,1 to p
431    
432  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
433           kkey = (idynkey-1)*Nr + k           kkey = (idynkey-1)*Nr + k
 c  
434  CADJ STORE totPhiHyd (:,:,k,bi,bj)  CADJ STORE totPhiHyd (:,:,k,bi,bj)
435  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
436  CADJ STORE phiHydLow (:,:,bi,bj)  CADJ STORE phiHydLow (:,:,bi,bj)
# Line 494  CADJ STORE theta (:,:,k,bi,bj) Line 439  CADJ STORE theta (:,:,k,bi,bj)
439  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
440  CADJ STORE salt  (:,:,k,bi,bj)  CADJ STORE salt  (:,:,k,bi,bj)
441  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
 CADJ STORE gT(:,:,k,bi,bj)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
 CADJ STORE gS(:,:,k,bi,bj)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
442  # ifdef NONLIN_FRSURF  # ifdef NONLIN_FRSURF
443  cph-test  cph-test
444  CADJ STORE  phiHydC (:,:)  CADJ STORE  phiHydC (:,:)
445  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
446  CADJ STORE  phiHydF (:,:)  CADJ STORE  phiHydF (:,:)
447  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
 CADJ STORE  guDissip (:,:)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
 CADJ STORE  gvDissip (:,:)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
 CADJ STORE  fVerU (:,:,:)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
 CADJ STORE  fVerV (:,:,:)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
448  CADJ STORE gU(:,:,k,bi,bj)  CADJ STORE gU(:,:,k,bi,bj)
449  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
450  CADJ STORE gV(:,:,k,bi,bj)  CADJ STORE gV(:,:,k,bi,bj)
# Line 541  CADJ &     = comlev1_bibj_k, key=kkey, b Line 474  CADJ &     = comlev1_bibj_k, key=kkey, b
474  CADJ STORE vVelD(:,:,k,bi,bj)  CADJ STORE vVelD(:,:,k,bi,bj)
475  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
476  #  endif  #  endif
477  # endif  # endif /* NONLIN_FRSURF */
 # ifdef ALLOW_DEPTH_CONTROL  
 CADJ STORE  fVerU (:,:,:)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
 CADJ STORE  fVerV (:,:,:)  
 CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  
 # endif  
478  #endif /* ALLOW_AUTODIFF_TAMC */  #endif /* ALLOW_AUTODIFF_TAMC */
479    
480  C--      Integrate hydrostatic balance for phiHyd with BC of phiHyd(z=0)=0  C--      Integrate hydrostatic balance for phiHyd with BC of phiHyd(z=0)=0
481           IF ( implicitIntGravWave ) THEN           CALL CALC_PHI_HYD(
            CALL CALC_PHI_HYD(  
      I        bi,bj,iMin,iMax,jMin,jMax,k,  
      I        gT, gS,  
      U        phiHydF,  
      O        phiHydC, dPhiHydX, dPhiHydY,  
      I        myTime, myIter, myThid )  
          ELSE  
            CALL CALC_PHI_HYD(  
482       I        bi,bj,iMin,iMax,jMin,jMax,k,       I        bi,bj,iMin,iMax,jMin,jMax,k,
483       I        theta, salt,       I        theta, salt,
484       U        phiHydF,       U        phiHydF,
485       O        phiHydC, dPhiHydX, dPhiHydY,       O        phiHydC, dPhiHydX, dPhiHydY,
486       I        myTime, myIter, myThid )       I        myTime, myIter, myThid )
          ENDIF  
487  #ifdef ALLOW_DIAGNOSTICS  #ifdef ALLOW_DIAGNOSTICS
488           IF ( dPhiHydDiagIsOn ) THEN           IF ( dPhiHydDiagIsOn ) THEN
489             tmpFac = -1. _d 0             tmpFac = -1. _d 0
# Line 579  C--      Integrate hydrostatic balance f Line 497  C--      Integrate hydrostatic balance f
497  C--      Calculate accelerations in the momentum equations (gU, gV, ...)  C--      Calculate accelerations in the momentum equations (gU, gV, ...)
498  C        and step forward storing the result in gU, gV, etc...  C        and step forward storing the result in gU, gV, etc...
499           IF ( momStepping ) THEN           IF ( momStepping ) THEN
500    #ifdef ALLOW_AUTODIFF
501               DO j=1-OLy,sNy+OLy
502                DO i=1-OLx,sNx+OLx
503                  guDissip(i,j)  = 0. _d 0
504                  gvDissip(i,j)  = 0. _d 0
505                ENDDO
506               ENDDO
507    #endif /* ALLOW_AUTODIFF */
508  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
509  # ifdef NONLIN_FRSURF  # if (defined NONLIN_FRSURF) && (defined ALLOW_MOM_FLUXFORM)
510  #  if (defined ALLOW_MOM_FLUXFORM) && !(defined DISABLE_RSTAR_CODE)  #  ifndef DISABLE_RSTAR_CODE
511  CADJ STORE dWtransC(:,:,bi,bj)  CADJ STORE dWtransC(:,:,bi,bj)
512  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
513  CADJ STORE dWtransU(:,:,bi,bj)  CADJ STORE dWtransU(:,:,bi,bj)
# Line 589  CADJ &     = comlev1_bibj_k, key=kkey, b Line 515  CADJ &     = comlev1_bibj_k, key=kkey, b
515  CADJ STORE dWtransV(:,:,bi,bj)  CADJ STORE dWtransV(:,:,bi,bj)
516  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte
517  #  endif  #  endif
518  CADJ STORE fVerU(:,:,:)  # endif /* NONLIN_FRSURF and ALLOW_MOM_FLUXFORM */
519  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  # if (defined NONLIN_FRSURF) || (defined ALLOW_DEPTH_CONTROL)
520  CADJ STORE fVerV(:,:,:)  CADJ STORE fVerU(:,:,:) = comlev1_bibj_k, key=kkey, byte=isbyte
521  CADJ &     = comlev1_bibj_k, key=kkey, byte=isbyte  CADJ STORE fVerV(:,:,:) = comlev1_bibj_k, key=kkey, byte=isbyte
522  # endif /* NONLIN_FRSURF */  # endif
523  #endif /* ALLOW_AUTODIFF_TAMC */  #endif /* ALLOW_AUTODIFF_TAMC */
524             IF (.NOT. vectorInvariantMomentum) THEN             IF (.NOT. vectorInvariantMomentum) THEN
525  #ifdef ALLOW_MOM_FLUXFORM  #ifdef ALLOW_MOM_FLUXFORM
# Line 662  C--     Implicit Vertical advection & vi Line 588  C--     Implicit Vertical advection & vi
588          IF     ( implicitViscosity ) THEN          IF     ( implicitViscosity ) THEN
589  #endif /* INCLUDE_IMPLVERTADV_CODE */  #endif /* INCLUDE_IMPLVERTADV_CODE */
590  #ifdef    ALLOW_AUTODIFF_TAMC  #ifdef    ALLOW_AUTODIFF_TAMC
 CADJ STORE KappaRU(:,:,:) = comlev1_bibj , key=idynkey, byte=isbyte  
591  CADJ STORE gU(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte  CADJ STORE gU(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte
592  #endif    /* ALLOW_AUTODIFF_TAMC */  #endif    /* ALLOW_AUTODIFF_TAMC */
593            CALL IMPLDIFF(            CALL IMPLDIFF(
594       I         bi, bj, iMin, iMax, jMin, jMax,       I         bi, bj, iMin, iMax, jMin, jMax,
595       I         -1, KappaRU, recip_hFacW(1-OLx,1-OLy,1,bi,bj),       I         -1, KappaRU, recip_hFacW(1-OLx,1-OLy,1,bi,bj),
596       U         gU,       U         gU(1-OLx,1-OLy,1,bi,bj),
597       I         myThid )       I         myThid )
598  #ifdef    ALLOW_AUTODIFF_TAMC  #ifdef    ALLOW_AUTODIFF_TAMC
 CADJ STORE KappaRV(:,:,:) = comlev1_bibj , key=idynkey, byte=isbyte  
599  CADJ STORE gV(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte  CADJ STORE gV(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte
600  #endif    /* ALLOW_AUTODIFF_TAMC */  #endif    /* ALLOW_AUTODIFF_TAMC */
601            CALL IMPLDIFF(            CALL IMPLDIFF(
602       I         bi, bj, iMin, iMax, jMin, jMax,       I         bi, bj, iMin, iMax, jMin, jMax,
603       I         -2, KappaRV, recip_hFacS(1-OLx,1-OLy,1,bi,bj),       I         -2, KappaRV, recip_hFacS(1-OLx,1-OLy,1,bi,bj),
604       U         gV,       U         gV(1-OLx,1-OLy,1,bi,bj),
605       I         myThid )       I         myThid )
606          ENDIF          ENDIF
607    
# Line 701  CADJ STORE vVelD(:,:,:,bi,bj) = comlev1_ Line 625  CADJ STORE vVelD(:,:,:,bi,bj) = comlev1_
625            CALL IMPLDIFF(            CALL IMPLDIFF(
626       I         bi, bj, iMin, iMax, jMin, jMax,       I         bi, bj, iMin, iMax, jMin, jMax,
627       I         0, KappaRU, recip_hFacW(1-OLx,1-OLy,1,bi,bj),       I         0, KappaRU, recip_hFacW(1-OLx,1-OLy,1,bi,bj),
628       U         vVelD,       U         vVelD(1-OLx,1-OLy,1,bi,bj),
629       I         myThid )       I         myThid )
630  #ifdef    ALLOW_AUTODIFF_TAMC  #ifdef    ALLOW_AUTODIFF_TAMC
631  CADJ STORE uVelD(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte  CADJ STORE uVelD(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte
# Line 709  CADJ STORE uVelD(:,:,:,bi,bj) = comlev1_ Line 633  CADJ STORE uVelD(:,:,:,bi,bj) = comlev1_
633            CALL IMPLDIFF(            CALL IMPLDIFF(
634       I         bi, bj, iMin, iMax, jMin, jMax,       I         bi, bj, iMin, iMax, jMin, jMax,
635       I         0, KappaRV, recip_hFacS(1-OLx,1-OLy,1,bi,bj),       I         0, KappaRV, recip_hFacS(1-OLx,1-OLy,1,bi,bj),
636       U         uVelD,       U         uVelD(1-OLx,1-OLy,1,bi,bj),
637       I         myThid )       I         myThid )
638          ENDIF          ENDIF
639  #endif    /* ALLOW_CD_CODE */  #endif    /* ALLOW_CD_CODE */
# Line 782  Cml) Line 706  Cml)
706         CALL DEBUG_STATS_RL(Nr,salt,'Salt (DYNAMICS)',myThid)         CALL DEBUG_STATS_RL(Nr,salt,'Salt (DYNAMICS)',myThid)
707         CALL DEBUG_STATS_RL(Nr,gU,'Gu (DYNAMICS)',myThid)         CALL DEBUG_STATS_RL(Nr,gU,'Gu (DYNAMICS)',myThid)
708         CALL DEBUG_STATS_RL(Nr,gV,'Gv (DYNAMICS)',myThid)         CALL DEBUG_STATS_RL(Nr,gV,'Gv (DYNAMICS)',myThid)
        CALL DEBUG_STATS_RL(Nr,gT,'Gt (DYNAMICS)',myThid)  
        CALL DEBUG_STATS_RL(Nr,gS,'Gs (DYNAMICS)',myThid)  
709  #ifndef ALLOW_ADAMSBASHFORTH_3  #ifndef ALLOW_ADAMSBASHFORTH_3
710         CALL DEBUG_STATS_RL(Nr,guNm1,'GuNm1 (DYNAMICS)',myThid)         CALL DEBUG_STATS_RL(Nr,guNm1,'GuNm1 (DYNAMICS)',myThid)
711         CALL DEBUG_STATS_RL(Nr,gvNm1,'GvNm1 (DYNAMICS)',myThid)         CALL DEBUG_STATS_RL(Nr,gvNm1,'GvNm1 (DYNAMICS)',myThid)
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