model/src/dynamics.F

C $Header: /u/gcmpack/models/MITgcmUV/model/src/dynamics.F,v 1.72 2001/07/13 14:26:57 heimbach Exp $
C $Name:  $

#include "CPP_OPTIONS.h"

      SUBROUTINE DYNAMICS(myTime, myIter, myThid)
C     /==========================================================\
C     | SUBROUTINE DYNAMICS                                      |
C     | o Controlling routine for the explicit part of the model |
C     |   dynamics.                                              |
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     | Notes                                                    |
C     | =====                                                    |
C     | C*P* comments indicating place holders for which code is |
C     |      presently being developed.                          |
C     \==========================================================/
      IMPLICIT NONE

C     == Global variables ===
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "DYNVARS.h"
#include "GRID.h"
#include "TR1.h"

#ifdef ALLOW_AUTODIFF_TAMC
# include "tamc.h"
# include "tamc_keys.h"
# include "FFIELDS.h"
# ifdef ALLOW_KPP
#  include "KPP.h"
# endif
# ifdef ALLOW_GMREDI
#  include "GMREDI.h"
# endif
#endif /* ALLOW_AUTODIFF_TAMC */

#ifdef ALLOW_TIMEAVE
#include "TIMEAVE_STATV.h"
#endif

C     == Routine arguments ==
C     myTime - Current time in simulation
C     myIter - Current iteration number in simulation
C     myThid - Thread number for this instance of the routine.
      _RL myTime
      INTEGER myIter
      INTEGER myThid

C     == Local variables
C     xA, yA                 - Per block temporaries holding face areas
C     uTrans, vTrans, rTrans - Per block temporaries holding flow 
C                              transport
C                              o uTrans: Zonal transport
C                              o vTrans: Meridional transport
C                              o rTrans: Vertical transport
C     maskUp                   o maskUp: land/water mask for W points
C     fVer[STUV]               o fVer: Vertical flux term - note fVer
C                                      is "pipelined" in the vertical
C                                      so we need an fVer for each
C                                      variable.
C     rhoK, rhoKM1   - Density at current level, and level above 
C     phiHyd         - Hydrostatic part of the potential phiHydi.
C                      In z coords phiHydiHyd is the hydrostatic 
C                      Potential (=pressure/rho0) anomaly
C                      In p coords phiHydiHyd is the geopotential 
C                      surface height anomaly.
C     phiSurfX, - gradient of Surface potentiel (Pressure/rho, ocean)
C     phiSurfY             or geopotentiel (atmos) in X and Y direction
C     KappaRT,       - Total diffusion in vertical for T and S.
C     KappaRS          (background + spatially varying, isopycnal term).
C     iMin, iMax     - Ranges and sub-block indices on which calculations
C     jMin, jMax       are applied.
C     bi, bj
C     k, kup,        - Index for layer above and below. kup and kDown
C     kDown, km1       are switched with layer to be the appropriate 
C                      index into fVerTerm.
C     tauAB - Adams-Bashforth timestepping weight: 0=forward ; 1/2=Adams-Bashf.
      _RS xA      (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS yA      (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL uTrans  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL vTrans  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL rTrans  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS maskUp  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL fVerT   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      _RL fVerS   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      _RL fVerTr1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      _RL fVerU   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      _RL fVerV   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      _RL phiHyd  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL rhokm1  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL rhok    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL phiSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL phiSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL KappaRT (1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL KappaRS (1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL KappaRU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL KappaRV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL sigmaX  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL sigmaY  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL sigmaR  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL tauAB

C This is currently used by IVDC and Diagnostics
      _RL ConvectCount (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)

      INTEGER iMin, iMax
      INTEGER jMin, jMax
      INTEGER bi, bj
      INTEGER i, j
      INTEGER k, km1, kup, kDown

Cjmc : add for phiHyd output <- but not working if multi tile per CPU
c     CHARACTER*(MAX_LEN_MBUF) suff 
c     LOGICAL  DIFFERENT_MULTIPLE
c     EXTERNAL DIFFERENT_MULTIPLE
Cjmc(end)
 
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
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---

#ifdef ALLOW_AUTODIFF_TAMC
C--   dummy statement to end declaration part
      ikey = 1
#endif /* ALLOW_AUTODIFF_TAMC */

C--   Set up work arrays with valid (i.e. not NaN) values
C     These inital values do not alter the numerical results. They
C     just ensure that all memory references are to valid floating
C     point numbers. This prevents spurious hardware signals due to
C     uninitialised but inert locations.
      DO j=1-OLy,sNy+OLy
       DO i=1-OLx,sNx+OLx
        xA(i,j)      = 0. _d 0
        yA(i,j)      = 0. _d 0
        uTrans(i,j)  = 0. _d 0
        vTrans(i,j)  = 0. _d 0
        DO k=1,Nr
         phiHyd(i,j,k)  = 0. _d 0 
         KappaRU(i,j,k) = 0. _d 0
         KappaRV(i,j,k) = 0. _d 0
         sigmaX(i,j,k) = 0. _d 0
         sigmaY(i,j,k) = 0. _d 0
         sigmaR(i,j,k) = 0. _d 0
        ENDDO
        rhoKM1 (i,j) = 0. _d 0
        rhok   (i,j) = 0. _d 0
        phiSurfX(i,j) = 0. _d 0
        phiSurfY(i,j) = 0. _d 0
       ENDDO
      ENDDO


#ifdef ALLOW_AUTODIFF_TAMC
C--   HPF directive to help TAMC
CHPF$ INDEPENDENT
#endif /* ALLOW_AUTODIFF_TAMC */

      DO bj=myByLo(myThid),myByHi(myThid)

#ifdef ALLOW_AUTODIFF_TAMC
C--    HPF directive to help TAMC
CHPF$  INDEPENDENT, NEW (rTrans,fVerT,fVerS,fVerU,fVerV
CHPF$&                  ,phiHyd,utrans,vtrans,xA,yA
CHPF$&                  ,KappaRT,KappaRS,KappaRU,KappaRV
CHPF$&                  )
#endif /* ALLOW_AUTODIFF_TAMC */

       DO bi=myBxLo(myThid),myBxHi(myThid)

#ifdef ALLOW_AUTODIFF_TAMC
          act1 = bi - myBxLo(myThid)
          max1 = myBxHi(myThid) - myBxLo(myThid) + 1

          act2 = bj - myByLo(myThid)
          max2 = myByHi(myThid) - myByLo(myThid) + 1

          act3 = myThid - 1
          max3 = nTx*nTy

          act4 = ikey_dynamics - 1

          ikey = (act1 + 1) + act2*max1
     &                      + act3*max1*max2
     &                      + act4*max1*max2*max3
#endif /* ALLOW_AUTODIFF_TAMC */

C--     Set up work arrays that need valid initial values
        DO j=1-OLy,sNy+OLy
         DO i=1-OLx,sNx+OLx
          rTrans (i,j)   = 0. _d 0
          fVerT  (i,j,1) = 0. _d 0
          fVerT  (i,j,2) = 0. _d 0
          fVerS  (i,j,1) = 0. _d 0
          fVerS  (i,j,2) = 0. _d 0
          fVerTr1(i,j,1) = 0. _d 0
          fVerTr1(i,j,2) = 0. _d 0
          fVerU  (i,j,1) = 0. _d 0
          fVerU  (i,j,2) = 0. _d 0
          fVerV  (i,j,1) = 0. _d 0
          fVerV  (i,j,2) = 0. _d 0
         ENDDO
        ENDDO

        DO k=1,Nr
         DO j=1-OLy,sNy+OLy
          DO i=1-OLx,sNx+OLx
C This is currently also used by IVDC and Diagnostics
           ConvectCount(i,j,k) = 0.
           KappaRT(i,j,k) = 0. _d 0
           KappaRS(i,j,k) = 0. _d 0
          ENDDO
         ENDDO
        ENDDO

        iMin = 1-OLx+1
        iMax = sNx+OLx
        jMin = 1-OLy+1
        jMax = sNy+OLy


#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE theta(:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE salt (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE uvel (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE vvel (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE tr1  (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

C--     Start of diagnostic loop
        DO k=Nr,1,-1

#ifdef ALLOW_AUTODIFF_TAMC
C? Patrick, is this formula correct now that we change the loop range?
C? Do we still need this?
cph kkey formula corrected. 
cph Needed for rhok, rhokm1, in the case useGMREDI.
         kkey = (ikey-1)*Nr + k
CADJ STORE rhokm1(:,:) = comlev1_bibj_k ,       key=kkey, byte=isbyte
CADJ STORE rhok  (:,:) = comlev1_bibj_k ,       key=kkey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

C--       Integrate continuity vertically for vertical velocity
          CALL INTEGRATE_FOR_W(
     I                         bi, bj, k, uVel, vVel,
     O                         wVel,
     I                         myThid )

#ifdef    ALLOW_OBCS
#ifdef    ALLOW_NONHYDROSTATIC
C--       Apply OBC to W if in N-H mode
          IF (useOBCS.AND.nonHydrostatic) THEN
            CALL OBCS_APPLY_W( bi, bj, k, wVel, myThid )
          ENDIF
#endif    /* ALLOW_NONHYDROSTATIC */
#endif    /* ALLOW_OBCS */

C--       Calculate gradients of potential density for isoneutral
C         slope terms (e.g. GM/Redi tensor or IVDC diffusivity)
c         IF ( k.GT.1 .AND. (useGMRedi.OR.ivdc_kappa.NE.0.) ) THEN
          IF ( useGMRedi .OR. (k.GT.1 .AND. ivdc_kappa.NE.0.) ) THEN
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE theta(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte
CADJ STORE salt (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
            CALL FIND_RHO(
     I        bi, bj, iMin, iMax, jMin, jMax, k, k, eosType,
     I        theta, salt,
     O        rhoK,
     I        myThid )
            IF (k.GT.1) THEN
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE theta(:,:,k-1,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte
CADJ STORE salt (:,:,k-1,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
             CALL FIND_RHO(
     I        bi, bj, iMin, iMax, jMin, jMax, k-1, k, eosType,
     I        theta, salt,
     O        rhoKm1,
     I        myThid )
            ENDIF
            CALL GRAD_SIGMA(
     I             bi, bj, iMin, iMax, jMin, jMax, k,
     I             rhoK, rhoKm1, rhoK,
     O             sigmaX, sigmaY, sigmaR,
     I             myThid )
          ENDIF

C--       Implicit Vertical Diffusion for Convection
c ==> should use sigmaR !!!
          IF (k.GT.1 .AND. ivdc_kappa.NE.0.) THEN
            CALL CALC_IVDC(
     I        bi, bj, iMin, iMax, jMin, jMax, k,
     I        rhoKm1, rhoK,
     U        ConvectCount, KappaRT, KappaRS,
     I        myTime, myIter, myThid)
          ENDIF

C--     end of diagnostic k loop (Nr:1)
        ENDDO

#ifdef ALLOW_AUTODIFF_TAMC
cph avoids recomputation of integrate_for_w
CADJ STORE wvel (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

#ifdef  ALLOW_OBCS
C--     Calculate future values on open boundaries
        IF (useOBCS) THEN
          CALL OBCS_CALC( bi, bj, myTime+deltaT,
     I            uVel, vVel, wVel, theta, salt,
     I            myThid )
        ENDIF
#endif  /* ALLOW_OBCS */

C--     Determines forcing terms based on external fields
C       relaxation terms, etc.
        CALL EXTERNAL_FORCING_SURF( 
     I             bi, bj, iMin, iMax, jMin, jMax,
     I             myThid )
#ifdef ALLOW_AUTODIFF_TAMC
cph needed for KPP
CADJ STORE surfacetendencyU(:,:,bi,bj)
CADJ &     = comlev1_bibj, key=ikey, byte=isbyte
CADJ STORE surfacetendencyV(:,:,bi,bj)
CADJ &     = comlev1_bibj, key=ikey, byte=isbyte
CADJ STORE surfacetendencyS(:,:,bi,bj)
CADJ &     = comlev1_bibj, key=ikey, byte=isbyte
CADJ STORE surfacetendencyT(:,:,bi,bj)
CADJ &     = comlev1_bibj, key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

#ifdef  ALLOW_GMREDI

#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE sigmaX(:,:,:) = comlev1, key=ikey, byte=isbyte
CADJ STORE sigmaY(:,:,:) = comlev1, key=ikey, byte=isbyte
CADJ STORE sigmaR(:,:,:) = comlev1, key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
C--     Calculate iso-neutral slopes for the GM/Redi parameterisation
        IF (useGMRedi) THEN
          DO k=1,Nr
            CALL GMREDI_CALC_TENSOR(
     I             bi, bj, iMin, iMax, jMin, jMax, k,
     I             sigmaX, sigmaY, sigmaR,
     I             myThid )
          ENDDO
#ifdef ALLOW_AUTODIFF_TAMC
        ELSE
          DO k=1, Nr
            CALL GMREDI_CALC_TENSOR_DUMMY(
     I             bi, bj, iMin, iMax, jMin, jMax, k,
     I             sigmaX, sigmaY, sigmaR,
     I             myThid )
          ENDDO
#endif /* ALLOW_AUTODIFF_TAMC */
        ENDIF

#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE Kwx(:,:,:,bi,bj)   = comlev1_bibj, key=ikey, byte=isbyte
CADJ STORE Kwy(:,:,:,bi,bj)   = comlev1_bibj, key=ikey, byte=isbyte
CADJ STORE Kwz(:,:,:,bi,bj)   = comlev1_bibj, key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

#endif  /* ALLOW_GMREDI */

#ifdef  ALLOW_KPP
C--     Compute KPP mixing coefficients
        IF (useKPP) THEN
          CALL KPP_CALC(
     I                  bi, bj, myTime, myThid )
#ifdef ALLOW_AUTODIFF_TAMC
        ELSE
          CALL KPP_CALC_DUMMY(
     I                  bi, bj, myTime, myThid )
#endif /* ALLOW_AUTODIFF_TAMC */
        ENDIF

#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE KPPghat   (:,:,:,bi,bj)
CADJ &   , KPPviscAz (:,:,:,bi,bj) 
CADJ &   , KPPdiffKzT(:,:,:,bi,bj)
CADJ &   , KPPdiffKzS(:,:,:,bi,bj)
CADJ &   , KPPfrac   (:,:  ,bi,bj)
CADJ &                 = comlev1_bibj, key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

#endif  /* ALLOW_KPP */

#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE KappaRT(:,:,:)     = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE KappaRS(:,:,:)     = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE theta(:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE salt (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE uvel (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE vvel (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
CADJ STORE tr1  (:,:,:,bi,bj) = comlev1_bibj, key = ikey, byte = isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

#ifdef ALLOW_AIM
C       AIM - atmospheric intermediate model, physics package code.
C note(jmc) : phiHyd=0 at this point but is not really used in Molteni Physics
        IF ( useAIM ) THEN
         CALL TIMER_START('AIM_DO_ATMOS_PHYS      [DYNAMICS]', myThid)
         CALL AIM_DO_ATMOS_PHYSICS( phiHyd, bi, bj, myTime, myThid )
         CALL TIMER_STOP ('AIM_DO_ATMOS_PHYS      [DYNAMICS]', myThid)
        ENDIF
#endif /* ALLOW_AIM */


C--     Start of thermodynamics loop
        DO k=Nr,1,-1
#ifdef ALLOW_AUTODIFF_TAMC 
C? Patrick Is this formula correct?
cph Yes, but I rewrote it.
cph Also, the KappaR? need the index and subscript k!
         kkey = (ikey-1)*Nr + k
#endif /* ALLOW_AUTODIFF_TAMC */

C--       km1    Points to level above k (=k-1)
C--       kup    Cycles through 1,2 to point to layer above
C--       kDown  Cycles through 2,1 to point to current layer

          km1  = MAX(1,k-1)
          kup  = 1+MOD(k+1,2)
          kDown= 1+MOD(k,2)

          iMin = 1-OLx+2
          iMax = sNx+OLx-1
          jMin = 1-OLy+2
          jMax = sNy+OLy-1

C--      Get temporary terms used by tendency routines
         CALL CALC_COMMON_FACTORS (
     I        bi,bj,iMin,iMax,jMin,jMax,k,
     O        xA,yA,uTrans,vTrans,rTrans,maskUp,
     I        myThid)

#ifdef ALLOW_AUTODIFF_TAMC 
CADJ STORE KappaRT(:,:,k)    = comlev1_bibj_k, key=kkey, byte=isbyte
CADJ STORE KappaRS(:,:,k)    = comlev1_bibj_k, key=kkey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

#ifdef  INCLUDE_CALC_DIFFUSIVITY_CALL
C--      Calculate the total vertical diffusivity
         CALL CALC_DIFFUSIVITY(
     I        bi,bj,iMin,iMax,jMin,jMax,k,
     I        maskUp,
     O        KappaRT,KappaRS,KappaRU,KappaRV,
     I        myThid)
#endif

C--      Calculate active tracer tendencies (gT,gS,...)
C        and step forward storing result in gTnm1, gSnm1, etc.
         IF ( tempStepping ) THEN
           CALL CALC_GT(
     I         bi,bj,iMin,iMax,jMin,jMax, k,km1,kup,kDown,
     I         xA,yA,uTrans,vTrans,rTrans,maskUp,
     I         KappaRT,
     U         fVerT,
     I         myTime, myThid)
           tauAB = 0.5d0 + abEps
           CALL TIMESTEP_TRACER(
     I         bi,bj,iMin,iMax,jMin,jMax,k,tauAB,
     I         theta, gT,
     U         gTnm1,
     I         myIter, myThid)
         ENDIF
         IF ( saltStepping ) THEN
           CALL CALC_GS(
     I         bi,bj,iMin,iMax,jMin,jMax, k,km1,kup,kDown,
     I         xA,yA,uTrans,vTrans,rTrans,maskUp,
     I         KappaRS,
     U         fVerS,
     I         myTime, myThid)
           tauAB = 0.5d0 + abEps
           CALL TIMESTEP_TRACER(
     I         bi,bj,iMin,iMax,jMin,jMax,k,tauAB,
     I         salt, gS,
     U         gSnm1,
     I         myIter, myThid)
         ENDIF
         IF ( tr1Stepping ) THEN
           CALL CALC_GTR1(
     I         bi,bj,iMin,iMax,jMin,jMax, k,km1,kup,kDown,
     I         xA,yA,uTrans,vTrans,rTrans,maskUp,
     I         KappaRT,
     U         fVerTr1,
     I         myTime, myThid)
           tauAB = 0.5d0 + abEps
           CALL TIMESTEP_TRACER(
     I         bi,bj,iMin,iMax,jMin,jMax,k,tauAB,
     I         Tr1, gTr1,
     U         gTr1NM1,
     I         myIter, myThid)
         ENDIF

#ifdef   ALLOW_OBCS
C--      Apply open boundary conditions
         IF (useOBCS) THEN
           CALL OBCS_APPLY_TS( bi, bj, k, gTnm1, gSnm1, myThid )
         END IF
#endif   /* ALLOW_OBCS */

C--      Freeze water
         IF (allowFreezing) THEN
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE gTNm1(:,:,k,bi,bj) = comlev1_bibj_k
CADJ &   , key = kkey, byte = isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
            CALL FREEZE( bi, bj, iMin, iMax, jMin, jMax, k, myThid )
         END IF

C--     end of thermodynamic k loop (Nr:1)
        ENDDO


#ifdef ALLOW_AUTODIFF_TAMC
C? Patrick? What about this one?
cph Keys iikey and idkey don't seem to be needed
cph since storing occurs on different tape for each
cph impldiff call anyways.
cph Thus, common block comlev1_impl isn't needed either.
cph Storing below needed in the case useGMREDI.
        iikey = (ikey-1)*maximpl
#endif /* ALLOW_AUTODIFF_TAMC */

C--     Implicit diffusion
        IF (implicitDiffusion) THEN

         IF (tempStepping) THEN
#ifdef ALLOW_AUTODIFF_TAMC
            idkey = iikey + 1
CADJ STORE gTNm1(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
            CALL IMPLDIFF(
     I         bi, bj, iMin, iMax, jMin, jMax,
     I         deltaTtracer, KappaRT, recip_HFacC,
     U         gTNm1,
     I         myThid )
         ENDIF

         IF (saltStepping) THEN
#ifdef ALLOW_AUTODIFF_TAMC
         idkey = iikey + 2
CADJ STORE gSNm1(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
            CALL IMPLDIFF(
     I         bi, bj, iMin, iMax, jMin, jMax,
     I         deltaTtracer, KappaRS, recip_HFacC,
     U         gSNm1,
     I         myThid )
         ENDIF

         IF (tr1Stepping) THEN
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE gTr1Nm1(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */
          CALL IMPLDIFF(
     I      bi, bj, iMin, iMax, jMin, jMax,
     I      deltaTtracer, KappaRT, recip_HFacC,
     U      gTr1Nm1,
     I      myThid )
         ENDIF

#ifdef   ALLOW_OBCS
C--      Apply open boundary conditions
         IF (useOBCS) THEN
           DO K=1,Nr
             CALL OBCS_APPLY_TS( bi, bj, k, gTnm1, gSnm1, myThid )
           ENDDO
         END IF
#endif   /* ALLOW_OBCS */

C--     End If implicitDiffusion
        ENDIF

C--     Start computation of dynamics
        iMin = 1-OLx+2
        iMax = sNx+OLx-1
        jMin = 1-OLy+2
        jMax = sNy+OLy-1

C--     Explicit part of the Surface Potentiel Gradient (add in TIMESTEP)
C       (note: this loop will be replaced by CALL CALC_GRAD_ETA)
        IF (implicSurfPress.NE.1.) THEN
          CALL CALC_GRAD_PHI_SURF(
     I         bi,bj,iMin,iMax,jMin,jMax,
     I         etaN,
     O         phiSurfX,phiSurfY,
     I         myThid )                         
        ENDIF

C--     Start of dynamics loop
        DO k=1,Nr

C--       km1    Points to level above k (=k-1)
C--       kup    Cycles through 1,2 to point to layer above
C--       kDown  Cycles through 2,1 to point to current layer

          km1  = MAX(1,k-1)
          kup  = 1+MOD(k+1,2)
          kDown= 1+MOD(k,2)

C--      Integrate hydrostatic balance for phiHyd with BC of 
C        phiHyd(z=0)=0
C        distinguishe between Stagger and Non Stagger time stepping
         IF (staggerTimeStep) THEN
           CALL CALC_PHI_HYD(
     I        bi,bj,iMin,iMax,jMin,jMax,k,
     I        gTnm1, gSnm1,
     U        phiHyd,
     I        myThid )
         ELSE
           CALL CALC_PHI_HYD(
     I        bi,bj,iMin,iMax,jMin,jMax,k,
     I        theta, salt,
     U        phiHyd,
     I        myThid )
         ENDIF

C--      Calculate accelerations in the momentum equations (gU, gV, ...)
C        and step forward storing the result in gUnm1, gVnm1, etc...
         IF ( momStepping ) THEN
           CALL CALC_MOM_RHS(
     I         bi,bj,iMin,iMax,jMin,jMax,k,kup,kDown,
     I         phiHyd,KappaRU,KappaRV,
     U         fVerU, fVerV,
     I         myTime, myThid)
           CALL TIMESTEP(
     I         bi,bj,iMin,iMax,jMin,jMax,k,
     I         phiHyd, phiSurfX, phiSurfY,
     I         myIter, myThid)

#ifdef   ALLOW_OBCS
C--      Apply open boundary conditions
         IF (useOBCS) THEN
           CALL OBCS_APPLY_UV( bi, bj, k, gUnm1, gVnm1, myThid )
         END IF
#endif   /* ALLOW_OBCS */

#ifdef   ALLOW_AUTODIFF_TAMC
#ifdef   INCLUDE_CD_CODE
         ELSE
           DO j=1-OLy,sNy+OLy
             DO i=1-OLx,sNx+OLx
               guCD(i,j,k,bi,bj) = 0.0
               gvCD(i,j,k,bi,bj) = 0.0
             END DO
           END DO
#endif   /* INCLUDE_CD_CODE */
#endif   /* ALLOW_AUTODIFF_TAMC */
         ENDIF


C--     end of dynamics k loop (1:Nr)
        ENDDO


C--     Implicit viscosity
        IF (implicitViscosity.AND.momStepping) THEN
#ifdef    ALLOW_AUTODIFF_TAMC
          idkey = iikey + 3
CADJ STORE gUNm1(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif    /* ALLOW_AUTODIFF_TAMC */
          CALL IMPLDIFF(
     I         bi, bj, iMin, iMax, jMin, jMax,
     I         deltaTmom, KappaRU,recip_HFacW,
     U         gUNm1,
     I         myThid )
#ifdef    ALLOW_AUTODIFF_TAMC
          idkey = iikey + 4
CADJ STORE gVNm1(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif    /* ALLOW_AUTODIFF_TAMC */
          CALL IMPLDIFF(
     I         bi, bj, iMin, iMax, jMin, jMax,
     I         deltaTmom, KappaRV,recip_HFacS,
     U         gVNm1,
     I         myThid )

#ifdef   ALLOW_OBCS
C--      Apply open boundary conditions
         IF (useOBCS) THEN
           DO K=1,Nr
             CALL OBCS_APPLY_UV( bi, bj, k, gUnm1, gVnm1, myThid )
           ENDDO
         END IF
#endif   /* ALLOW_OBCS */

#ifdef    INCLUDE_CD_CODE
#ifdef    ALLOW_AUTODIFF_TAMC
          idkey = iikey + 5
CADJ STORE vVelD(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif    /* ALLOW_AUTODIFF_TAMC */
          CALL IMPLDIFF(
     I         bi, bj, iMin, iMax, jMin, jMax,
     I         deltaTmom, KappaRU,recip_HFacW,
     U         vVelD,
     I         myThid )
#ifdef    ALLOW_AUTODIFF_TAMC
          idkey = iikey + 6
CADJ STORE uVelD(:,:,:,bi,bj) = comlev1_bibj , key=ikey, byte=isbyte
#endif    /* ALLOW_AUTODIFF_TAMC */
          CALL IMPLDIFF(
     I         bi, bj, iMin, iMax, jMin, jMax,
     I         deltaTmom, KappaRV,recip_HFacS,
     U         uVelD,
     I         myThid )
#endif    /* INCLUDE_CD_CODE */
C--     End If implicitViscosity.AND.momStepping
        ENDIF
 
Cjmc : add for phiHyd output <- but not working if multi tile per CPU
c       IF ( DIFFERENT_MULTIPLE(dumpFreq,myTime+deltaTClock,myTime) 
c    &  .AND. buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN
c         WRITE(suff,'(I10.10)') myIter+1
c         CALL WRITE_FLD_XYZ_RL('PH.',suff,phiHyd,myIter+1,myThid) 
c       ENDIF
Cjmc(end)

#ifdef ALLOW_TIMEAVE
        IF (taveFreq.GT.0.) THEN 
          CALL TIMEAVE_CUMUL_1T(phiHydtave, phiHyd, Nr,
     I                              deltaTclock, bi, bj, myThid)
          IF (ivdc_kappa.NE.0.) THEN
            CALL TIMEAVE_CUMULATE(ConvectCountTave, ConvectCount, Nr,
     I                              deltaTclock, bi, bj, myThid)
          ENDIF
        ENDIF
#endif /* ALLOW_TIMEAVE */

       ENDDO
      ENDDO

#ifndef EXCLUDE_DEBUGMODE
      If (debugMode) THEN
       CALL DEBUG_STATS_RL(1,EtaN,'EtaN (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,uVel,'Uvel (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,vVel,'Vvel (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,wVel,'Wvel (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,theta,'Theta (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,salt,'Salt (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,Gu,'Gu (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)
       CALL DEBUG_STATS_RL(Nr,GuNm1,'GuNm1 (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,GvNm1,'GvNm1 (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,GtNm1,'GtNm1 (DYNAMICS)',myThid)
       CALL DEBUG_STATS_RL(Nr,GsNm1,'GsNm1 (DYNAMICS)',myThid)
      ENDIF
#endif

      RETURN
      END