/[MITgcm]/MITgcm/model/src/dynamics.F
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revision 1.9 by cnh, Mon May 25 21:29:45 1998 UTC revision 1.23 by adcroft, Wed Jul 1 19:49:36 1998 UTC
# Line 39  C     myThid - Thread number for this in Line 39  C     myThid - Thread number for this in
39  C     == Local variables  C     == Local variables
40  C     xA, yA                 - Per block temporaries holding face areas  C     xA, yA                 - Per block temporaries holding face areas
41  C     uTrans, vTrans, wTrans - Per block temporaries holding flow transport  C     uTrans, vTrans, wTrans - Per block temporaries holding flow transport
42  C                              o uTrans: Zonal transport  C     wVel                     o uTrans: Zonal transport
43  C                              o vTrans: Meridional transport  C                              o vTrans: Meridional transport
44  C                              o wTrans: Vertical transport  C                              o wTrans: Vertical transport
45    C                              o wVel:   Vertical velocity at upper and lower
46    C                                        cell faces.
47  C     maskC,maskUp             o maskC: land/water mask for tracer cells  C     maskC,maskUp             o maskC: land/water mask for tracer cells
48  C                              o maskUp: land/water mask for W points  C                              o maskUp: land/water mask for W points
49  C     aTerm, xTerm, cTerm    - Work arrays for holding separate terms in  C     aTerm, xTerm, cTerm    - Work arrays for holding separate terms in
# Line 68  C                          into fVerTerm Line 70  C                          into fVerTerm
70        _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
71        _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
72        _RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
73          _RL wVel  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
74        _RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
75        _RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
76        _RL aTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL aTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
# Line 84  C                          into fVerTerm Line 87  C                          into fVerTerm
87        _RL pH    (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL pH    (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
88        _RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
89        _RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
90          _RL rhok  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
91          _RL rhotmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
92        _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
93        _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
94        _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
95        _RL K23   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K23   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
96        _RL K33   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K33   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
97        _RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
98          _RL KappaZT(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz)
99          _RL KappaZS(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz)
100    
101        INTEGER iMin, iMax        INTEGER iMin, iMax
102        INTEGER jMin, jMax        INTEGER jMin, jMax
103        INTEGER bi, bj        INTEGER bi, bj
104        INTEGER i, j        INTEGER i, j
105        INTEGER k, kM1, kUp, kDown        INTEGER k, kM1, kUp, kDown
106          LOGICAL BOTTOM_LAYER
107    
108    C---    The algorithm...
109    C
110    C       "Correction Step"
111    C       =================
112    C       Here we update the horizontal velocities with the surface
113    C       pressure such that the resulting flow is either consistent
114    C       with the free-surface evolution or the rigid-lid:
115    C         U[n] = U* + dt x d/dx P
116    C         V[n] = V* + dt x d/dy P
117    C
118    C       "Calculation of Gs"
119    C       ===================
120    C       This is where all the accelerations and tendencies (ie.
121    C       physics, parameterizations etc...) are calculated
122    C         w = sum_z ( div. u[n] )
123    C         rho = rho ( theta[n], salt[n] )
124    C         K31 = K31 ( rho )
125    C         Gu[n] = Gu( u[n], v[n], w, rho, Ph, ... )
126    C         Gv[n] = Gv( u[n], v[n], w, rho, Ph, ... )
127    C         Gt[n] = Gt( theta[n], u[n], v[n], w, K31, ... )
128    C         Gs[n] = Gs( salt[n], u[n], v[n], w, K31, ... )
129    C
130    C       "Time-stepping" or "Prediction"
131    C       ================================
132    C       The models variables are stepped forward with the appropriate
133    C       time-stepping scheme (currently we use Adams-Bashforth II)
134    C       - For momentum, the result is always *only* a "prediction"
135    C       in that the flow may be divergent and will be "corrected"
136    C       later with a surface pressure gradient.
137    C       - Normally for tracers the result is the new field at time
138    C       level [n+1} *BUT* in the case of implicit diffusion the result
139    C       is also *only* a prediction.
140    C       - We denote "predictors" with an asterisk (*).
141    C         U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] )
142    C         V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] )
143    C         theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
144    C         salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
145    C       With implicit diffusion:
146    C         theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
147    C         salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
148    C         (1 + dt * K * d_zz) theta[n] = theta*
149    C         (1 + dt * K * d_zz) salt[n] = salt*
150    C---
151    
152  C--   Set up work arrays with valid (i.e. not NaN) values  C--   Set up work arrays with valid (i.e. not NaN) values
153  C     These inital values do not alter the numerical results. They  C     These inital values do not alter the numerical results. They
# Line 119  C     uninitialised but inert locations. Line 172  C     uninitialised but inert locations.
172           K13(i,j,k) = 0. _d 0           K13(i,j,k) = 0. _d 0
173           K23(i,j,k) = 0. _d 0           K23(i,j,k) = 0. _d 0
174           K33(i,j,k) = 0. _d 0           K33(i,j,k) = 0. _d 0
175             KappaZT(i,j,k) = 0. _d 0
176          ENDDO          ENDDO
177          rhokm1(i,j)  = 0. _d 0          rhokm1(i,j)  = 0. _d 0
178            rhok  (i,j)  = 0. _d 0
179          rhokp1(i,j)  = 0. _d 0          rhokp1(i,j)  = 0. _d 0
180            rhotmp(i,j)  = 0. _d 0
181            maskC (i,j)  = 0. _d 0
182         ENDDO         ENDDO
183        ENDDO        ENDDO
184    
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    
 C--     Boundary condition on hydrostatic pressure is pH(z=0)=0  
         DO j=1-OLy,sNy+OLy  
          DO i=1-OLx,sNx+OLx  
           pH(i,j,1) = 0. _d 0  
           K13(i,j,1) = 0. _d 0  
           K23(i,j,1) = 0. _d 0  
           K33(i,j,1) = 0. _d 0  
           KapGM(i,j) = 0. _d 0  
          ENDDO  
         ENDDO  
   
188  C--     Set up work arrays that need valid initial values  C--     Set up work arrays that need valid initial values
189          DO j=1-OLy,sNy+OLy          DO j=1-OLy,sNy+OLy
190           DO i=1-OLx,sNx+OLx           DO i=1-OLx,sNx+OLx
191            wTrans(i,j)  = 0. _d 0            wTrans(i,j)  = 0. _d 0
192              wVel  (i,j,1) = 0. _d 0
193              wVel  (i,j,2) = 0. _d 0
194            fVerT(i,j,1) = 0. _d 0            fVerT(i,j,1) = 0. _d 0
195            fVerT(i,j,2) = 0. _d 0            fVerT(i,j,2) = 0. _d 0
196            fVerS(i,j,1) = 0. _d 0            fVerS(i,j,1) = 0. _d 0
# Line 151  C--     Set up work arrays that need val Line 199  C--     Set up work arrays that need val
199            fVerU(i,j,2) = 0. _d 0            fVerU(i,j,2) = 0. _d 0
200            fVerV(i,j,1) = 0. _d 0            fVerV(i,j,1) = 0. _d 0
201            fVerV(i,j,2) = 0. _d 0            fVerV(i,j,2) = 0. _d 0
202              pH(i,j,1) = 0. _d 0
203              K13(i,j,1) = 0. _d 0
204              K23(i,j,1) = 0. _d 0
205              K33(i,j,1) = 0. _d 0
206              KapGM(i,j) = GMkbackground
207           ENDDO           ENDDO
208          ENDDO          ENDDO
209    
# Line 159  C--     Set up work arrays that need val Line 212  C--     Set up work arrays that need val
212          jMin = 1-OLy+1          jMin = 1-OLy+1
213          jMax = sNy+OLy          jMax = sNy+OLy
214    
215            K = 1
216            BOTTOM_LAYER = K .EQ. Nz
217    
218  C--     Calculate gradient of surface pressure  C--     Calculate gradient of surface pressure
219          CALL GRAD_PSURF(          CALL GRAD_PSURF(
220       I       bi,bj,iMin,iMax,jMin,jMax,       I       bi,bj,iMin,iMax,jMin,jMax,
# Line 166  C--     Calculate gradient of surface pr Line 222  C--     Calculate gradient of surface pr
222       I       myThid)       I       myThid)
223    
224  C--     Update fields in top level according to tendency terms  C--     Update fields in top level according to tendency terms
225          CALL TIMESTEP(          CALL CORRECTION_STEP(
226       I       bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid)       I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myTime,myThid)
227    
228            IF ( .NOT. BOTTOM_LAYER ) THEN
229    C--      Update fields in layer below according to tendency terms
230             CALL CORRECTION_STEP(
231         I        bi,bj,iMin,iMax,jMin,jMax,K+1,pSurfX,pSurfY,myTime,myThid)
232            ENDIF
233    
234  C--     Density of 1st level (below W(1)) reference to level 1  C--     Density of 1st level (below W(1)) reference to level 1
235          CALL FIND_RHO(          CALL FIND_RHO(
236       I     bi, bj, iMin, iMax, jMin, jMax, 1, 1, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax, K, K, eosType,
237       O     rhoKm1,       O     rhoKm1,
238       I     myThid )       I     myThid )
239    
240            IF ( .NOT. BOTTOM_LAYER ) THEN
241    C--      Check static stability with layer below
242    C        and mix as needed.
243             CALL FIND_RHO(
244         I      bi, bj, iMin, iMax, jMin, jMax, K+1, K, eosType,
245         O      rhoKp1,
246         I      myThid )
247             CALL CONVECT(
248         I       bi,bj,iMin,iMax,jMin,jMax,K+1,rhoKm1,rhoKp1,
249         I       myTime,myIter,myThid)
250    C--      Recompute density after mixing
251             CALL FIND_RHO(
252         I      bi, bj, iMin, iMax, jMin, jMax, K, K, eosType,
253         O      rhoKm1,
254         I      myThid )
255            ENDIF
256    
257  C--     Integrate hydrostatic balance for pH with BC of pH(z=0)=0  C--     Integrate hydrostatic balance for pH with BC of pH(z=0)=0
258          CALL CALC_PH(          CALL CALC_PH(
259       I      bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1,       I      bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKm1,
260       U      pH,       U      pH,
261       I      myThid )       I      myThid )
262    
263          DO K=2,Nz          DO K=2,Nz
264  C--     Update fields in Kth level according to tendency terms  
265          CALL TIMESTEP(           BOTTOM_LAYER = K .EQ. Nz
266       I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid)  
267  C--     Density of K-1 level (above W(K)) reference to K level           IF ( .NOT. BOTTOM_LAYER ) THEN
268          CALL FIND_RHO(  C--       Update fields in layer below according to tendency terms
269       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K, 'LINEAR',            CALL CORRECTION_STEP(
270       O     rhoKm1,       I         bi,bj,iMin,iMax,jMin,jMax,K+1,pSurfX,pSurfY,myTime,myThid)
271       I     myThid )           ENDIF
272  C--     Density of K level (below W(K)) reference to K level  C--      Update fields in layer below according to tendency terms
273          CALL FIND_RHO(  C        CALL CORRECTION_STEP(
274       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, 'LINEAR',  C    I        bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myTime,myThid)
275       O     rhoKp1,  
276       I     myThid )  C--      Density of K level (below W(K)) reference to K level
277  C--     Calculate iso-neutral slopes for the GM/Redi parameterisation           CALL FIND_RHO(
278          CALL CALC_ISOSLOPES(       I      bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
279       I            bi, bj, iMin, iMax, jMin, jMax, K,       O      rhoK,
      I            rhoKm1, rhoKp1,  
      O            K13, K23, K33, KapGM,  
      I            myThid )  
 C--     Calculate static stability and mix where convectively unstable  
         CALL CONVECT(  
      I      bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1,  
      I      myTime,myIter,myThid)  
 C--     Density of K-1 level (above W(K)) reference to K-1 level  
         CALL FIND_RHO(  
      I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, 'LINEAR',  
      O     rhoKm1,  
      I     myThid )  
 C--     Density of K level (below W(K)) referenced to K level  
         CALL FIND_RHO(  
      I     bi, bj, iMin, iMax, jMin, jMax,  K, K, 'LINEAR',  
      O     rhoKp1,  
      I     myThid )  
 C--     Integrate hydrostatic balance for pH with BC of pH(z=0)=0  
         CALL CALC_PH(  
      I      bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1,  
      U      pH,  
280       I      myThid )       I      myThid )
281             IF ( .NOT. BOTTOM_LAYER ) THEN
282    C--       Check static stability with layer below
283    C         and mix as needed.
284    C--       Density of K+1 level (below W(K+1)) reference to K level
285              CALL FIND_RHO(
286         I       bi, bj, iMin, iMax, jMin, jMax,  K+1, K, eosType,
287         O       rhoKp1,
288         I       myThid )
289              CALL CONVECT(
290         I        bi,bj,iMin,iMax,jMin,jMax,K+1,rhoK,rhoKp1,
291         I        myTime,myIter,myThid)
292    C--       Recompute density after mixing
293              CALL FIND_RHO(
294         I       bi, bj, iMin, iMax, jMin, jMax, K, K, eosType,
295         O       rhoK,
296         I       myThid )
297             ENDIF
298    C--      Integrate hydrostatic balance for pH with BC of pH(z=0)=0
299             CALL CALC_PH(
300         I       bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoK,
301         U       pH,
302         I       myThid )
303    C--      Calculate iso-neutral slopes for the GM/Redi parameterisation
304             CALL FIND_RHO(
305         I      bi, bj, iMin, iMax, jMin, jMax, K-1, K, eosType,
306         O      rhoTmp,
307         I      myThid )
308             CALL CALC_ISOSLOPES(
309         I             bi, bj, iMin, iMax, jMin, jMax, K,
310         I             rhoKm1, rhoK, rhotmp,
311         O             K13, K23, K33, KapGM,
312         I             myThid )
313             DO J=jMin,jMax
314              DO I=iMin,iMax
315               rhoKm1(I,J)=rhoK(I,J)
316              ENDDO
317             ENDDO
318    
319          ENDDO          ENDDO ! K
320    
321          DO K = Nz, 1, -1          DO K = Nz, 1, -1
322           kM1  =max(1,k-1)   ! Points to level above k (=k-1)           kM1  =max(1,k-1)   ! Points to level above k (=k-1)
# Line 234  C--     Integrate hydrostatic balance fo Line 330  C--     Integrate hydrostatic balance fo
330  C--      Get temporary terms used by tendency routines  C--      Get temporary terms used by tendency routines
331           CALL CALC_COMMON_FACTORS (           CALL CALC_COMMON_FACTORS (
332       I        bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,       I        bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
333       O        xA,yA,uTrans,vTrans,wTrans,maskC,maskUp,       O        xA,yA,uTrans,vTrans,wTrans,wVel,maskC,maskUp,
334         I        myThid)
335    
336    C--      Calculate the total vertical diffusivity
337             CALL CALC_DIFFUSIVITY(
338         I        bi,bj,iMin,iMax,jMin,jMax,K,
339         I        maskC,maskUp,KapGM,K33,
340         O        KappaZT,KappaZS,
341       I        myThid)       I        myThid)
342    
343  C--      Calculate accelerations in the momentum equations  C--      Calculate accelerations in the momentum equations
344           IF ( momStepping ) THEN           IF ( momStepping ) THEN
345            CALL CALC_MOM_RHS(            CALL CALC_MOM_RHS(
346       I         bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,       I         bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
347       I         xA,yA,uTrans,vTrans,wTrans,maskC,       I         xA,yA,uTrans,vTrans,wTrans,wVel,maskC,
348       I         pH,       I         pH,
349       U         aTerm,xTerm,cTerm,mTerm,pTerm,       U         aTerm,xTerm,cTerm,mTerm,pTerm,
350       U         fZon, fMer, fVerU, fVerV,       U         fZon, fMer, fVerU, fVerV,
# Line 252  C--      Calculate active tracer tendenc Line 355  C--      Calculate active tracer tendenc
355           IF ( tempStepping ) THEN           IF ( tempStepping ) THEN
356            CALL CALC_GT(            CALL CALC_GT(
357       I         bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,       I         bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,
358       I         xA,yA,uTrans,vTrans,wTrans,maskUp,       I         xA,yA,uTrans,vTrans,wTrans,maskUp,maskC,
359       I         K13,K23,K33,KapGM,       I         K13,K23,KappaZT,KapGM,
360       U         aTerm,xTerm,fZon,fMer,fVerT,       U         aTerm,xTerm,fZon,fMer,fVerT,
361       I         myThid)       I         myThid)
362           ENDIF           ENDIF
363  Cdbg     CALL CALC_GS(           IF ( saltStepping ) THEN
364  Cdbg I        bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,            CALL CALC_GS(
365  Cdbg I        xA,yA,uTrans,vTrans,wTrans,maskUp,       I         bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,
366  Cdbg I        K13,K23,K33,KapGM,       I         xA,yA,uTrans,vTrans,wTrans,maskUp,maskC,
367  Cdbg U        aTerm,xTerm,fZon,fMer,fVerS,       I         K13,K23,KappaZS,KapGM,
368  Cdbg I        myThid)       U         aTerm,xTerm,fZon,fMer,fVerS,
369         I         myThid)
370             ENDIF
371    
372          ENDDO  C--      Prediction step (step forward all model variables)
373             CALL TIMESTEP(
374         I       bi,bj,iMin,iMax,jMin,jMax,K,
375         I       myThid)
376    
377    C--      Diagnose barotropic divergence of predicted fields
378             CALL DIV_G(
379         I       bi,bj,iMin,iMax,jMin,jMax,K,
380         I       xA,yA,
381         I       myThid)
382    
383    C--      Cumulative diagnostic calculations (ie. time-averaging)
384    #ifdef ALLOW_DIAGNOSTICS
385             IF (taveFreq.GT.0.) THEN
386              CALL DO_TIME_AVERAGES(
387         I                           myTime, myIter, bi, bj, K, kUp, kDown,
388         I                           K13, K23, wVel,
389         I                           myThid )
390             ENDIF
391    #endif
392    
393            ENDDO ! K
394    
395    C--     Implicit diffusion
396            IF (implicitDiffusion) THEN
397             CALL IMPLDIFF( bi, bj, iMin, iMax, jMin, jMax,
398         I                  KappaZT,KappaZS,
399         I                  myThid )
400            ENDIF
401    
402         ENDDO         ENDDO
403        ENDDO        ENDDO
404    
405  !dbg  write(0,*) 'dynamics: pS',minval(cg2d_x),maxval(cg2d_x)  C     write(0,*) 'dynamics: pS ',minval(cg2d_x(1:sNx,1:sNy,:,:)),
406  !dbg  write(0,*) 'dynamics: U',minval(uVel(1:sNx,1:sNy,:,:,:)),  C    &                           maxval(cg2d_x(1:sNx,1:sNy,:,:))
407  !dbg &                         maxval(uVel(1:sNx,1:sNy,:,:,:))  C     write(0,*) 'dynamics: U  ',minval(uVel(1:sNx,1:sNy,1,:,:),mask=uVel(1:sNx,1:sNy,1,:,:).NE.0.),
408  !dbg  write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)),  C    &                           maxval(uVel(1:sNx,1:sNy,1,:,:),mask=uVel(1:sNx,1:sNy,1,:,:).NE.0.)
409  !dbg &                         maxval(vVel(1:sNx,1:sNy,:,:,:))  C     write(0,*) 'dynamics: V  ',minval(vVel(1:sNx,1:sNy,1,:,:),mask=vVel(1:sNx,1:sNy,1,:,:).NE.0.),
410  !dbg  write(0,*) 'dynamics: gT',minval(gT(1:sNx,1:sNy,:,:,:)),  C    &                           maxval(vVel(1:sNx,1:sNy,1,:,:),mask=vVel(1:sNx,1:sNy,1,:,:).NE.0.)
411  !dbg &                         maxval(gT(1:sNx,1:sNy,:,:,:))  C     write(0,*) 'dynamics: wVel(1) ',
412  !dbg  write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)),  C    &            minval(wVel(1:sNx,1:sNy,1),mask=wVel(1:sNx,1:sNy,1).NE.0.),
413  !dbg &                         maxval(Theta(1:sNx,1:sNy,:,:,:))  C    &            maxval(wVel(1:sNx,1:sNy,1),mask=wVel(1:sNx,1:sNy,1).NE.0.)
414  !dbg  write(0,*) 'dynamics: pH',minval(pH/(Gravity*Rhonil)),  C     write(0,*) 'dynamics: wVel(2) ',
415  !dbg &                          maxval(pH/(Gravity*Rhonil))  C    &            minval(wVel(1:sNx,1:sNy,2),mask=wVel(1:sNx,1:sNy,2).NE.0.),
416    C    &            maxval(wVel(1:sNx,1:sNy,2),mask=wVel(1:sNx,1:sNy,2).NE.0.)
417    cblk  write(0,*) 'dynamics: K13',minval(K13(1:sNx,1:sNy,:)),
418    cblk &                           maxval(K13(1:sNx,1:sNy,:))
419    cblk  write(0,*) 'dynamics: K23',minval(K23(1:sNx,1:sNy,:)),
420    cblk &                           maxval(K23(1:sNx,1:sNy,:))
421    cblk  write(0,*) 'dynamics: K33',minval(K33(1:sNx,1:sNy,:)),
422    cblk &                           maxval(K33(1:sNx,1:sNy,:))
423    C     write(0,*) 'dynamics: gT ',minval(gT(1:sNx,1:sNy,:,:,:)),
424    C    &                           maxval(gT(1:sNx,1:sNy,:,:,:))
425    C     write(0,*) 'dynamics: T  ',minval(Theta(1:sNx,1:sNy,:,:,:)),
426    C    &                           maxval(Theta(1:sNx,1:sNy,:,:,:))
427    C     write(0,*) 'dynamics: gS ',minval(gS(1:sNx,1:sNy,:,:,:)),
428    C    &                           maxval(gS(1:sNx,1:sNy,:,:,:))
429    C     write(0,*) 'dynamics: S  ',minval(salt(1:sNx,1:sNy,:,:,:)),
430    C    &                           maxval(salt(1:sNx,1:sNy,:,:,:))
431    C     write(0,*) 'dynamics: pH ',minval(pH/(Gravity*Rhonil),mask=ph.NE.0.),
432    C    &                           maxval(pH/(Gravity*Rhonil))
433    
434        RETURN        RETURN
435        END        END

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