/[MITgcm]/MITgcm/model/src/dynamics.F
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revision 1.2 by cnh, Fri Apr 24 02:05:40 1998 UTC revision 1.11 by adcroft, Mon Jun 1 20:36:13 1998 UTC
# Line 2  C $Header$ Line 2  C $Header$
2    
3  #include "CPP_EEOPTIONS.h"  #include "CPP_EEOPTIONS.h"
4    
5        SUBROUTINE DYNAMICS(myThid)        SUBROUTINE DYNAMICS(myTime, myIter, myThid)
6  C     /==========================================================\  C     /==========================================================\
7  C     | SUBROUTINE DYNAMICS                                      |  C     | SUBROUTINE DYNAMICS                                      |
8  C     | o Controlling routine for the explicit part of the model |  C     | o Controlling routine for the explicit part of the model |
# Line 25  C     == Global variables === Line 25  C     == Global variables ===
25  #include "SIZE.h"  #include "SIZE.h"
26  #include "EEPARAMS.h"  #include "EEPARAMS.h"
27  #include "CG2D.h"  #include "CG2D.h"
28    #include "PARAMS.h"
29    #include "DYNVARS.h"
30    
31  C     == Routine arguments ==  C     == Routine arguments ==
32    C     myTime - Current time in simulation
33    C     myIter - Current iteration number in simulation
34  C     myThid - Thread number for this instance of the routine.  C     myThid - Thread number for this instance of the routine.
35        INTEGER myThid        INTEGER myThid
36          _RL myTime
37          INTEGER myIter
38    
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
# Line 76  C                          into fVerTerm Line 82  C                          into fVerTerm
82        _RL fVerU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)        _RL fVerU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
83        _RL fVerV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)        _RL fVerV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
84        _RL pH    (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL pH    (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
85          _RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
86          _RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
87          _RL rhotmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
88          _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
89          _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
90          _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
91          _RL K23   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
92          _RL K33   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
93          _RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
94        INTEGER iMin, iMax        INTEGER iMin, iMax
95        INTEGER jMin, jMax        INTEGER jMin, jMax
96        INTEGER bi, bj        INTEGER bi, bj
97        INTEGER i, j        INTEGER i, j
98        INTEGER k, kM1, kUp, kDown        INTEGER k, kM1, kUp, kDown
99    
100    C---    The algorithm...
101    C
102    C       "Correction Step"
103    C       =================
104    C       Here we update the horizontal velocities with the surface
105    C       pressure such that the resulting flow is either consistent
106    C       with the free-surface evolution or the rigid-lid:
107    C         U[n] = U* + dt x d/dx P
108    C         V[n] = V* + dt x d/dy P
109    C       With implicit diffusion, the tracers must also be "finalized"
110    C         (1 + dt * K * d_zz) theta[n] = theta*
111    C         (1 + dt * K * d_zz) salt[n] = salt*
112    C
113    C       "Calculation of Gs"
114    C       ===================
115    C       This is where all the accelerations and tendencies (ie.
116    C       physics, parameterizations etc...) are calculated
117    C         w = sum_z ( div. u[n] )
118    C         rho = rho ( theta[n], salt[n] )
119    C         K31 = K31 ( rho )
120    C         Gu[n] = Gu( u[n], v[n], w, rho, Ph, ... )
121    C         Gv[n] = Gv( u[n], v[n], w, rho, Ph, ... )
122    C         Gt[n] = Gt( theta[n], u[n], v[n], w, K31, ... )
123    C         Gs[n] = Gs( salt[n], u[n], v[n], w, K31, ... )
124    C
125    C       "Time-stepping" or "Predicition"
126    C       ================================
127    C       The models variables are stepped forward with the appropriate
128    C       time-stepping scheme (currently we use Adams-Bashforth II)
129    C       - For momentum, the result is always *only* a "prediction"
130    C       in that the flow may be divergent and will be "corrected"
131    C       later with a surface pressure gradient.
132    C       - Normally for tracers the result is the new field at time
133    C       level [n+1} *BUT* in the case of implicit diffusion the result
134    C       is also *only* a prediction.
135    C       - We denote "predictors" with an asterisk (*).
136    C         U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] )
137    C         V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] )
138    C         theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
139    C         salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
140    C       or with implicit diffusion
141    C         theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
142    C
143    C         salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
144    C---
145    
146    
147  C--   Set up work arrays with valid (i.e. not NaN) values  C--   Set up work arrays with valid (i.e. not NaN) values
148  C     These inital values do not alter the numerical results. They  C     These inital values do not alter the numerical results. They
149  C     just ensure that all memory references are to valid floating  C     just ensure that all memory references are to valid floating
# Line 89  C     point numbers. This prevents spuri Line 151  C     point numbers. This prevents spuri
151  C     uninitialised but inert locations.  C     uninitialised but inert locations.
152        DO j=1-OLy,sNy+OLy        DO j=1-OLy,sNy+OLy
153         DO i=1-OLx,sNx+OLx         DO i=1-OLx,sNx+OLx
154          xA(i,j)      = 0.*1. _d 37          xA(i,j)      = 0. _d 0
155          yA(i,j)      = 0.*1. _d 37          yA(i,j)      = 0. _d 0
156          uTrans(i,j)  = 0.*1. _d 37          uTrans(i,j)  = 0. _d 0
157          vTrans(i,j)  = 0.*1. _d 37          vTrans(i,j)  = 0. _d 0
158          aTerm(i,j)   = 0.*1. _d 37          aTerm(i,j)   = 0. _d 0
159          xTerm(i,j)   = 0.*1. _d 37          xTerm(i,j)   = 0. _d 0
160          cTerm(i,j)   = 0.*1. _d 37          cTerm(i,j)   = 0. _d 0
161          mTerm(i,j)   = 0.*1. _d 37          mTerm(i,j)   = 0. _d 0
162          pTerm(i,j)   = 0.*1. _d 37          pTerm(i,j)   = 0. _d 0
163          fZon(i,j)    = 0.*1. _d 37          fZon(i,j)    = 0. _d 0
164          fMer(i,j)    = 0.*1. _d 37          fMer(i,j)    = 0. _d 0
165          DO K=1,nZ          DO K=1,nZ
166           pH (i,j,k)  = 0.*1. _d 37           pH (i,j,k)  = 0. _d 0
167             K13(i,j,k) = 0. _d 0
168             K23(i,j,k) = 0. _d 0
169             K33(i,j,k) = 0. _d 0
170          ENDDO          ENDDO
171         ENDDO          rhokm1(i,j)  = 0. _d 0
172        ENDDO          rhokp1(i,j)  = 0. _d 0
173  C--   Set up work arrays that need valid initial values          rhotmp(i,j)  = 0. _d 0
       DO j=1-OLy,sNy+OLy  
        DO i=1-OLx,sNx+OLx  
         wTrans(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  
         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  
174         ENDDO         ENDDO
175        ENDDO        ENDDO
176    
177        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
178         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
179    
180    C--     Set up work arrays that need valid initial values
181            DO j=1-OLy,sNy+OLy
182             DO i=1-OLx,sNx+OLx
183              wTrans(i,j)  = 0. _d 0
184              fVerT(i,j,1) = 0. _d 0
185              fVerT(i,j,2) = 0. _d 0
186              fVerS(i,j,1) = 0. _d 0
187              fVerS(i,j,2) = 0. _d 0
188              fVerU(i,j,1) = 0. _d 0
189              fVerU(i,j,2) = 0. _d 0
190              fVerV(i,j,1) = 0. _d 0
191              fVerV(i,j,2) = 0. _d 0
192              pH(i,j,1) = 0. _d 0
193              K13(i,j,1) = 0. _d 0
194              K23(i,j,1) = 0. _d 0
195              K33(i,j,1) = 0. _d 0
196              KapGM(i,j) = 0. _d 0
197             ENDDO
198            ENDDO
199    
200          iMin = 1-OLx+1          iMin = 1-OLx+1
201          iMax = sNx+OLx          iMax = sNx+OLx
202          jMin = 1-OLy+1          jMin = 1-OLy+1
203          jMax = sNy+OLy          jMax = sNy+OLy
204    
205  C--     Update fields according to tendency terms  C--     Calculate gradient of surface pressure
206          CALL TIMESTEP(          CALL GRAD_PSURF(
207       I       bi,bj,iMin,iMax,jMin,jMax,myThid)       I       bi,bj,iMin,iMax,jMin,jMax,
208         O       pSurfX,pSurfY,
209         I       myThid)
210    
211    C--     Update fields in top level according to tendency terms
212            CALL CORRECTION_STEP(
213         I       bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid)
214    
215  C--     Calculate rho with the appropriate equation of state  C--     Density of 1st level (below W(1)) reference to level 1
216          CALL FIND_RHO(          CALL FIND_RHO(
217       I       bi,bj,iMin,iMax,jMin,jMax,myThid)       I     bi, bj, iMin, iMax, jMin, jMax, 1, 1, eosType,
218         O     rhoKm1,
219         I     myThid )
220    C--     Integrate hydrostatic balance for pH with BC of pH(z=0)=0
221            CALL CALC_PH(
222         I      bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1,
223         U      pH,
224         I      myThid )
225            DO J=1-Oly,sNy+Oly
226             DO I=1-Olx,sNx+Olx
227              rhoKp1(I,J)=rhoKm1(I,J)
228             ENDDO
229            ENDDO
230    
231            DO K=2,Nz
232    C--     Update fields in Kth level according to tendency terms
233            CALL CORRECTION_STEP(
234         I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid)
235    C--     Density of K-1 level (above W(K)) reference to K-1 level
236    copt    CALL FIND_RHO(
237    copt I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, eosType,
238    copt O     rhoKm1,
239    copt I     myThid )
240    C       rhoKm1=rhoKp1
241            DO J=1-Oly,sNy+Oly
242             DO I=1-Olx,sNx+Olx
243              rhoKm1(I,J)=rhoKp1(I,J)
244             ENDDO
245            ENDDO
246    C--     Density of K level (below W(K)) reference to K level
247            CALL FIND_RHO(
248         I     bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
249         O     rhoKp1,
250         I     myThid )
251    C--     Density of K-1 level (above W(K)) reference to K level
252            CALL FIND_RHO(
253         I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K, eosType,
254         O     rhotmp,
255         I     myThid )
256    C--     Calculate iso-neutral slopes for the GM/Redi parameterisation
257            CALL CALC_ISOSLOPES(
258         I            bi, bj, iMin, iMax, jMin, jMax, K,
259         I            rhoKm1, rhoKp1, rhotmp,
260         O            K13, K23, K33, KapGM,
261         I            myThid )
262  C--     Calculate static stability and mix where convectively unstable  C--     Calculate static stability and mix where convectively unstable
263          CALL CONVECT(          CALL CONVECT(
264       I       bi,bj,iMin,iMax,jMin,jMax,myThid)       I      bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1,
265         I      myTime,myIter,myThid)
266    C--     Density of K-1 level (above W(K)) reference to K-1 level
267            CALL FIND_RHO(
268         I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, eosType,
269         O     rhoKm1,
270         I     myThid )
271    C--     Density of K level (below W(K)) referenced to K level
272            CALL FIND_RHO(
273         I     bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
274         O     rhoKp1,
275         I     myThid )
276  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
277          CALL CALC_PH(          CALL CALC_PH(
278       I       bi,bj,iMin,iMax,jMin,jMax,       I      bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1,
279       O       pH,       U      pH,
280       I       myThid )       I      myThid )
281    
282            ENDDO ! K
283    
284    C--     Initial boundary condition on barotropic divergence integral
285            DO j=1-OLy,sNy+OLy
286             DO i=1-OLx,sNx+OLx
287              cg2d_b(i,j,bi,bj) = 0. _d 0
288             ENDDO
289            ENDDO
290    
291          DO K = Nz, 1, -1          DO K = Nz, 1, -1
292           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 162  C--      Get temporary terms used by ten Line 304  C--      Get temporary terms used by ten
304       I        myThid)       I        myThid)
305    
306  C--      Calculate accelerations in the momentum equations  C--      Calculate accelerations in the momentum equations
307           CALL CALC_MOM_RHS(           IF ( momStepping ) THEN
308       I        bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,            CALL CALC_MOM_RHS(
309       I        xA,yA,uTrans,vTrans,wTrans,maskC,       I         bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
310       I        pH,       I         xA,yA,uTrans,vTrans,wTrans,maskC,
311       U        aTerm,xTerm,cTerm,mTerm,pTerm,       I         pH,
312       U        fZon, fMer, fVerU, fVerV,       U         aTerm,xTerm,cTerm,mTerm,pTerm,
313       I        myThid)       U         fZon, fMer, fVerU, fVerV,
314         I         myThid)
315             ENDIF
316    
317  C--      Calculate active tracer tendencies  C--      Calculate active tracer tendencies
318           CALL CALC_GT(           IF ( tempStepping ) THEN
319       I        bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,            CALL CALC_GT(
320       I        xA,yA,uTrans,vTrans,wTrans,maskUp,       I         bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,
321       U        aTerm,xTerm,fZon,fMer,fVerT,       I         xA,yA,uTrans,vTrans,wTrans,maskUp,
322       I        myThid)       I         K13,K23,K33,KapGM,
323         U         aTerm,xTerm,fZon,fMer,fVerT,
324         I         myThid)
325             ENDIF
326  Cdbg     CALL CALC_GS(  Cdbg     CALL CALC_GS(
327  Cdbg I        bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,  Cdbg I        bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,
328  Cdbg I        xA,yA,uTrans,vTrans,wTrans,maskUp,  Cdbg I        xA,yA,uTrans,vTrans,wTrans,maskUp,
329    Cdbg I        K13,K23,K33,KapGM,
330  Cdbg U        aTerm,xTerm,fZon,fMer,fVerS,  Cdbg U        aTerm,xTerm,fZon,fMer,fVerS,
331  Cdbg I        myThid)  Cdbg I        myThid)
332    
333          ENDDO  C--      Prediction step (step forward all model variables)
334             CALL TIMESTEP(
335         I       bi,bj,iMin,iMax,jMin,jMax,K,
336         I       myThid)
337    
338    C--      Diagnose barotropic divergence of predicted fields
339             CALL DIV_G(
340         I       bi,bj,iMin,iMax,jMin,jMax,K,
341         I       xA,yA,
342         I       myThid)
343    
344            ENDDO ! K
345    
346         ENDDO         ENDDO
347        ENDDO        ENDDO
348    
349    !dbg  write(0,*) 'dynamics: pS',minval(cg2d_x),maxval(cg2d_x)
350    !dbg  write(0,*) 'dynamics: U',minval(uVel(1:sNx,1:sNy,:,:,:)),
351    !dbg &                         maxval(uVel(1:sNx,1:sNy,:,:,:))
352    !dbg  write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)),
353    !dbg &                         maxval(vVel(1:sNx,1:sNy,:,:,:))
354    !dbg  write(0,*) 'dynamics: K13',minval(K13(1:sNx,1:sNy,:)),
355    !dbg &                         maxval(K13(1:sNx,1:sNy,:))
356    !dbg  write(0,*) 'dynamics: K23',minval(K23(1:sNx,1:sNy,:)),
357    !dbg &                         maxval(K23(1:sNx,1:sNy,:))
358    !dbg  write(0,*) 'dynamics: K33',minval(K33(1:sNx,1:sNy,:)),
359    !dbg &                         maxval(K33(1:sNx,1:sNy,:))
360    !dbg  write(0,*) 'dynamics: gT',minval(gT(1:sNx,1:sNy,:,:,:)),
361    !dbg &                         maxval(gT(1:sNx,1:sNy,:,:,:))
362    !dbg  write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)),
363    !dbg &                         maxval(Theta(1:sNx,1:sNy,:,:,:))
364    !dbg  write(0,*) 'dynamics: pH',minval(pH/(Gravity*Rhonil)),
365    !dbg &                          maxval(pH/(Gravity*Rhonil))
366    
367        RETURN        RETURN
368        END        END
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