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C $Header: /u/gcmpack/MITgcm/model/src/dynamics.F,v 1.83.4.6 2003/06/24 23:05:28 heimbach Exp $ |
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C $Name: $ |
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|
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#include "CPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: DYNAMICS |
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C !INTERFACE: |
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SUBROUTINE DYNAMICS(myTime, myIter, myThid) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE DYNAMICS |
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C | o Controlling routine for the explicit part of the model |
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C | dynamics. |
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C *==========================================================* |
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C | This routine evaluates the "dynamics" terms for each |
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C | block of ocean in turn. Because the blocks of ocean have |
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C | overlap regions they are independent of one another. |
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C | If terms involving lateral integrals are needed in this |
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C | routine care will be needed. Similarly finite-difference |
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C | operations with stencils wider than the overlap region |
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C | require special consideration. |
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C | The algorithm... |
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C | |
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C | "Correction Step" |
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C | ================= |
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C | Here we update the horizontal velocities with the surface |
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C | pressure such that the resulting flow is either consistent |
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C | with the free-surface evolution or the rigid-lid: |
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C | U[n] = U* + dt x d/dx P |
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C | V[n] = V* + dt x d/dy P |
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C | |
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C | "Calculation of Gs" |
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C | =================== |
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C | This is where all the accelerations and tendencies (ie. |
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C | physics, parameterizations etc...) are calculated |
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C | rho = rho ( theta[n], salt[n] ) |
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C | b = b(rho, theta) |
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C | K31 = K31 ( rho ) |
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C | Gu[n] = Gu( u[n], v[n], wVel, b, ... ) |
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C | Gv[n] = Gv( u[n], v[n], wVel, b, ... ) |
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C | Gt[n] = Gt( theta[n], u[n], v[n], wVel, K31, ... ) |
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C | Gs[n] = Gs( salt[n], u[n], v[n], wVel, K31, ... ) |
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C | |
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C | "Time-stepping" or "Prediction" |
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C | ================================ |
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C | The models variables are stepped forward with the appropriate |
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C | time-stepping scheme (currently we use Adams-Bashforth II) |
| 49 |
C | - For momentum, the result is always *only* a "prediction" |
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C | in that the flow may be divergent and will be "corrected" |
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C | later with a surface pressure gradient. |
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C | - Normally for tracers the result is the new field at time |
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C | level [n+1} *BUT* in the case of implicit diffusion the result |
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C | is also *only* a prediction. |
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C | - We denote "predictors" with an asterisk (*). |
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C | U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] ) |
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C | V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] ) |
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C | theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C | salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C | With implicit diffusion: |
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C | theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C | salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C | (1 + dt * K * d_zz) theta[n] = theta* |
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C | (1 + dt * K * d_zz) salt[n] = salt* |
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C | |
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C *==========================================================* |
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C \ev |
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C !USES: |
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IMPLICIT NONE |
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C == Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "DYNVARS.h" |
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#include "GRID.h" |
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#ifdef ALLOW_PASSIVE_TRACER |
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#include "TR1.h" |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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# include "FFIELDS.h" |
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# include "EOS.h" |
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# ifdef ALLOW_KPP |
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# include "KPP.h" |
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# endif |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C !CALLING SEQUENCE: |
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C DYNAMICS() |
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C | |
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C |-- CALC_GRAD_PHI_SURF |
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C | |
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C |-- CALC_VISCOSITY |
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C | |
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C |-- CALC_PHI_HYD |
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C | |
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C |-- MOM_FLUXFORM |
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C | |
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C |-- MOM_VECINV |
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C | |
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C |-- TIMESTEP |
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C | |
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C |-- OBCS_APPLY_UV |
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C | |
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C |-- IMPLDIFF |
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C | |
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C |-- OBCS_APPLY_UV |
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C | |
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C |-- CALL TIMEAVE_CUMUL_1T |
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C |-- CALL DEBUG_STATS_RL |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C myTime - Current time in simulation |
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C myIter - Current iteration number in simulation |
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C myThid - Thread number for this instance of the routine. |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables |
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C fVer[STUV] o fVer: Vertical flux term - note fVer |
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C is "pipelined" in the vertical |
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C so we need an fVer for each |
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C variable. |
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C phiHydC :: hydrostatic potential anomaly at cell center |
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C In z coords phiHyd is the hydrostatic potential |
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C (=pressure/rho0) anomaly |
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C In p coords phiHyd is the geopotential height anomaly. |
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C phiHydF :: hydrostatic potential anomaly at middle between 2 centers |
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C dPhiHydX,Y :: Gradient (X & Y directions) of hydrostatic potential anom. |
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C phiSurfX, :: gradient of Surface potential (Pressure/rho, ocean) |
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C phiSurfY or geopotential (atmos) in X and Y direction |
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C iMin, iMax - Ranges and sub-block indices on which calculations |
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C jMin, jMax are applied. |
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C bi, bj |
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C k, kup, - Index for layer above and below. kup and kDown |
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C kDown, km1 are switched with layer to be the appropriate |
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C index into fVerTerm. |
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_RL fVerU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL fVerV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL phiHydF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL phiHydC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL phiSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL phiSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KappaRU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL KappaRV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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|
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INTEGER iMin, iMax |
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INTEGER jMin, jMax |
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INTEGER bi, bj |
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INTEGER i, j |
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INTEGER k, km1, kp1, kup, kDown |
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|
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LOGICAL DIFFERENT_MULTIPLE |
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EXTERNAL DIFFERENT_MULTIPLE |
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|
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C--- The algorithm... |
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C |
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C "Correction Step" |
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C ================= |
| 166 |
C Here we update the horizontal velocities with the surface |
| 167 |
C pressure such that the resulting flow is either consistent |
| 168 |
C with the free-surface evolution or the rigid-lid: |
| 169 |
C U[n] = U* + dt x d/dx P |
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C V[n] = V* + dt x d/dy P |
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C |
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C "Calculation of Gs" |
| 173 |
C =================== |
| 174 |
C This is where all the accelerations and tendencies (ie. |
| 175 |
C physics, parameterizations etc...) are calculated |
| 176 |
C rho = rho ( theta[n], salt[n] ) |
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C b = b(rho, theta) |
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C K31 = K31 ( rho ) |
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C Gu[n] = Gu( u[n], v[n], wVel, b, ... ) |
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C Gv[n] = Gv( u[n], v[n], wVel, b, ... ) |
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C Gt[n] = Gt( theta[n], u[n], v[n], wVel, K31, ... ) |
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C Gs[n] = Gs( salt[n], u[n], v[n], wVel, K31, ... ) |
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C |
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C "Time-stepping" or "Prediction" |
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C ================================ |
| 186 |
C The models variables are stepped forward with the appropriate |
| 187 |
C time-stepping scheme (currently we use Adams-Bashforth II) |
| 188 |
C - For momentum, the result is always *only* a "prediction" |
| 189 |
C in that the flow may be divergent and will be "corrected" |
| 190 |
C later with a surface pressure gradient. |
| 191 |
C - Normally for tracers the result is the new field at time |
| 192 |
C level [n+1} *BUT* in the case of implicit diffusion the result |
| 193 |
C is also *only* a prediction. |
| 194 |
C - We denote "predictors" with an asterisk (*). |
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C U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] ) |
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C V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] ) |
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C theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C With implicit diffusion: |
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C theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C (1 + dt * K * d_zz) theta[n] = theta* |
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C (1 + dt * K * d_zz) salt[n] = salt* |
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C--- |
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CEOP |
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|
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C-- Call to routine for calculation of |
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C Eliassen-Palm-flux-forced U-tendency, |
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C if desired: |
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#ifdef INCLUDE_EP_FORCING_CODE |
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CALL CALC_EP_FORCING(myThid) |
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#endif |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- HPF directive to help TAMC |
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CHPF$ INDEPENDENT |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- HPF directive to help TAMC |
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CHPF$ INDEPENDENT, NEW (fVerU,fVerV |
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CHPF$& ,phiHydF |
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CHPF$& ,KappaRU,KappaRV |
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CHPF$& ) |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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idynkey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C-- Set up work arrays with valid (i.e. not NaN) values |
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C These inital values do not alter the numerical results. They |
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C just ensure that all memory references are to valid floating |
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C point numbers. This prevents spurious hardware signals due to |
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C uninitialised but inert locations. |
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|
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DO k=1,Nr |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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KappaRU(i,j,k) = 0. _d 0 |
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KappaRV(i,j,k) = 0. _d 0 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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cph( |
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c-- need some re-initialisation here to break dependencies |
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c-- totphihyd is assumed zero from ini_pressure, i.e. |
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c-- avoiding iterate pressure p = integral of (g*rho(p)*dz) |
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cph) |
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totPhiHyd(i,j,k,bi,bj) = 0. _d 0 |
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gu(i,j,k,bi,bj) = 0. _d 0 |
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gv(i,j,k,bi,bj) = 0. _d 0 |
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#endif |
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ENDDO |
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ENDDO |
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ENDDO |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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fVerU (i,j,1) = 0. _d 0 |
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fVerU (i,j,2) = 0. _d 0 |
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fVerV (i,j,1) = 0. _d 0 |
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fVerV (i,j,2) = 0. _d 0 |
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phiHydF (i,j) = 0. _d 0 |
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phiHydC (i,j) = 0. _d 0 |
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dPhiHydX(i,j) = 0. _d 0 |
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dPhiHydY(i,j) = 0. _d 0 |
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phiSurfX(i,j) = 0. _d 0 |
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phiSurfY(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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C-- Start computation of dynamics |
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iMin = 0 |
| 285 |
iMax = sNx+1 |
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jMin = 0 |
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jMax = sNy+1 |
| 288 |
|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE wvel (:,:,:,bi,bj) = |
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CADJ & comlev1_bibj, key = idynkey, byte = isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 293 |
|
| 294 |
C-- Explicit part of the Surface Potentiel Gradient (add in TIMESTEP) |
| 295 |
C (note: this loop will be replaced by CALL CALC_GRAD_ETA) |
| 296 |
IF (implicSurfPress.NE.1.) THEN |
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CALL CALC_GRAD_PHI_SURF( |
| 298 |
I bi,bj,iMin,iMax,jMin,jMax, |
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I etaN, |
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O phiSurfX,phiSurfY, |
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I myThid ) |
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ENDIF |
| 303 |
|
| 304 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 305 |
CADJ STORE uvel (:,:,:,bi,bj) = comlev1_bibj, key=idynkey, byte=isbyte |
| 306 |
CADJ STORE vvel (:,:,:,bi,bj) = comlev1_bibj, key=idynkey, byte=isbyte |
| 307 |
#ifdef ALLOW_KPP |
| 308 |
CADJ STORE KPPviscAz (:,:,:,bi,bj) |
| 309 |
CADJ & = comlev1_bibj, key=idynkey, byte=isbyte |
| 310 |
#endif /* ALLOW_KPP */ |
| 311 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 312 |
|
| 313 |
#ifdef INCLUDE_CALC_DIFFUSIVITY_CALL |
| 314 |
C-- Calculate the total vertical diffusivity |
| 315 |
DO k=1,Nr |
| 316 |
CALL CALC_VISCOSITY( |
| 317 |
I bi,bj,iMin,iMax,jMin,jMax,k, |
| 318 |
O KappaRU,KappaRV, |
| 319 |
I myThid) |
| 320 |
ENDDO |
| 321 |
#endif |
| 322 |
|
| 323 |
C-- Start of dynamics loop |
| 324 |
DO k=1,Nr |
| 325 |
|
| 326 |
C-- km1 Points to level above k (=k-1) |
| 327 |
C-- kup Cycles through 1,2 to point to layer above |
| 328 |
C-- kDown Cycles through 2,1 to point to current layer |
| 329 |
|
| 330 |
km1 = MAX(1,k-1) |
| 331 |
kp1 = MIN(k+1,Nr) |
| 332 |
kup = 1+MOD(k+1,2) |
| 333 |
kDown= 1+MOD(k,2) |
| 334 |
|
| 335 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 336 |
kkey = (idynkey-1)*Nr + k |
| 337 |
CADJ STORE totphihyd (:,:,k,bi,bj) |
| 338 |
CADJ & = comlev1_bibj_k, key=kkey, byte=isbyte |
| 339 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 340 |
|
| 341 |
C-- Integrate hydrostatic balance for phiHyd with BC of |
| 342 |
C phiHyd(z=0)=0 |
| 343 |
C distinguishe between Stagger and Non Stagger time stepping |
| 344 |
IF (staggerTimeStep) THEN |
| 345 |
CALL CALC_PHI_HYD( |
| 346 |
I bi,bj,iMin,iMax,jMin,jMax,k, |
| 347 |
I gT, gS, |
| 348 |
U phiHydF, |
| 349 |
O phiHydC, dPhiHydX, dPhiHydY, |
| 350 |
I myTime, myIter, myThid ) |
| 351 |
ELSE |
| 352 |
CALL CALC_PHI_HYD( |
| 353 |
I bi,bj,iMin,iMax,jMin,jMax,k, |
| 354 |
I theta, salt, |
| 355 |
U phiHydF, |
| 356 |
O phiHydC, dPhiHydX, dPhiHydY, |
| 357 |
I myTime, myIter, myThid ) |
| 358 |
ENDIF |
| 359 |
|
| 360 |
C-- Calculate accelerations in the momentum equations (gU, gV, ...) |
| 361 |
C and step forward storing the result in gU, gV, etc... |
| 362 |
IF ( momStepping ) THEN |
| 363 |
#ifndef DISABLE_MOM_FLUXFORM |
| 364 |
IF (.NOT. vectorInvariantMomentum) CALL MOM_FLUXFORM( |
| 365 |
I bi,bj,iMin,iMax,jMin,jMax,k,kup,kDown, |
| 366 |
I dPhiHydX,dPhiHydY,KappaRU,KappaRV, |
| 367 |
U fVerU, fVerV, |
| 368 |
I myTime, myIter, myThid) |
| 369 |
#endif |
| 370 |
#ifndef DISABLE_MOM_VECINV |
| 371 |
IF (vectorInvariantMomentum) CALL MOM_VECINV( |
| 372 |
I bi,bj,iMin,iMax,jMin,jMax,k,kup,kDown, |
| 373 |
I dPhiHydX,dPhiHydY,KappaRU,KappaRV, |
| 374 |
U fVerU, fVerV, |
| 375 |
I myTime, myIter, myThid) |
| 376 |
#endif |
| 377 |
CALL TIMESTEP( |
| 378 |
I bi,bj,iMin,iMax,jMin,jMax,k, |
| 379 |
I dPhiHydX,dPhiHydY, phiSurfX, phiSurfY, |
| 380 |
I myTime, myIter, myThid) |
| 381 |
|
| 382 |
#ifdef ALLOW_OBCS |
| 383 |
C-- Apply open boundary conditions |
| 384 |
IF (useOBCS) THEN |
| 385 |
CALL OBCS_APPLY_UV( bi, bj, k, gU, gV, myThid ) |
| 386 |
ENDIF |
| 387 |
#endif /* ALLOW_OBCS */ |
| 388 |
|
| 389 |
ENDIF |
| 390 |
|
| 391 |
|
| 392 |
C-- end of dynamics k loop (1:Nr) |
| 393 |
ENDDO |
| 394 |
|
| 395 |
C-- Implicit viscosity |
| 396 |
IF (implicitViscosity.AND.momStepping) THEN |
| 397 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 398 |
CADJ STORE gU(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte |
| 399 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 400 |
CALL IMPLDIFF( |
| 401 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 402 |
I deltaTmom, KappaRU,recip_HFacW, |
| 403 |
U gU, |
| 404 |
I myThid ) |
| 405 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 406 |
CADJ STORE gV(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte |
| 407 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 408 |
CALL IMPLDIFF( |
| 409 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 410 |
I deltaTmom, KappaRV,recip_HFacS, |
| 411 |
U gV, |
| 412 |
I myThid ) |
| 413 |
|
| 414 |
#ifdef ALLOW_OBCS |
| 415 |
C-- Apply open boundary conditions |
| 416 |
IF (useOBCS) THEN |
| 417 |
DO K=1,Nr |
| 418 |
CALL OBCS_APPLY_UV( bi, bj, k, gU, gV, myThid ) |
| 419 |
ENDDO |
| 420 |
END IF |
| 421 |
#endif /* ALLOW_OBCS */ |
| 422 |
|
| 423 |
#ifdef INCLUDE_CD_CODE |
| 424 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 425 |
CADJ STORE vVelD(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte |
| 426 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 427 |
CALL IMPLDIFF( |
| 428 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 429 |
I deltaTmom, KappaRU,recip_HFacW, |
| 430 |
U vVelD, |
| 431 |
I myThid ) |
| 432 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 433 |
CADJ STORE uVelD(:,:,:,bi,bj) = comlev1_bibj , key=idynkey, byte=isbyte |
| 434 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 435 |
CALL IMPLDIFF( |
| 436 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 437 |
I deltaTmom, KappaRV,recip_HFacS, |
| 438 |
U uVelD, |
| 439 |
I myThid ) |
| 440 |
#endif /* INCLUDE_CD_CODE */ |
| 441 |
C-- End If implicitViscosity.AND.momStepping |
| 442 |
ENDIF |
| 443 |
|
| 444 |
ENDDO |
| 445 |
ENDDO |
| 446 |
|
| 447 |
Cml( |
| 448 |
C In order to compare the variance of phiHydLow of a p/z-coordinate |
| 449 |
C run with etaH of a z/p-coordinate run the drift of phiHydLow |
| 450 |
C has to be removed by something like the following subroutine: |
| 451 |
C CALL REMOVE_MEAN_RL( 1, phiHydLow, maskH, maskH, rA, drF, |
| 452 |
C & 'phiHydLow', myThid ) |
| 453 |
Cml) |
| 454 |
|
| 455 |
#ifndef DISABLE_DEBUGMODE |
| 456 |
If ( debugLevel .GE. debLevB ) THEN |
| 457 |
CALL DEBUG_STATS_RL(1,EtaN,'EtaN (DYNAMICS)',myThid) |
| 458 |
CALL DEBUG_STATS_RL(Nr,uVel,'Uvel (DYNAMICS)',myThid) |
| 459 |
CALL DEBUG_STATS_RL(Nr,vVel,'Vvel (DYNAMICS)',myThid) |
| 460 |
CALL DEBUG_STATS_RL(Nr,wVel,'Wvel (DYNAMICS)',myThid) |
| 461 |
CALL DEBUG_STATS_RL(Nr,theta,'Theta (DYNAMICS)',myThid) |
| 462 |
CALL DEBUG_STATS_RL(Nr,salt,'Salt (DYNAMICS)',myThid) |
| 463 |
CALL DEBUG_STATS_RL(Nr,Gu,'Gu (DYNAMICS)',myThid) |
| 464 |
CALL DEBUG_STATS_RL(Nr,Gv,'Gv (DYNAMICS)',myThid) |
| 465 |
CALL DEBUG_STATS_RL(Nr,Gt,'Gt (DYNAMICS)',myThid) |
| 466 |
CALL DEBUG_STATS_RL(Nr,Gs,'Gs (DYNAMICS)',myThid) |
| 467 |
CALL DEBUG_STATS_RL(Nr,GuNm1,'GuNm1 (DYNAMICS)',myThid) |
| 468 |
CALL DEBUG_STATS_RL(Nr,GvNm1,'GvNm1 (DYNAMICS)',myThid) |
| 469 |
CALL DEBUG_STATS_RL(Nr,GtNm1,'GtNm1 (DYNAMICS)',myThid) |
| 470 |
CALL DEBUG_STATS_RL(Nr,GsNm1,'GsNm1 (DYNAMICS)',myThid) |
| 471 |
ENDIF |
| 472 |
#endif |
| 473 |
|
| 474 |
RETURN |
| 475 |
END |
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