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revision 1.9 by cnh, Mon May 25 21:29:45 1998 UTC revision 1.11 by adcroft, Mon Jun 1 20:36:13 1998 UTC
# Line 84  C                          into fVerTerm Line 84  C                          into fVerTerm
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)        _RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
86        _RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _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)        _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
89        _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
90        _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
# Line 96  C                          into fVerTerm Line 97  C                          into fVerTerm
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 122  C     uninitialised but inert locations. Line 170  C     uninitialised but inert locations.
170          ENDDO          ENDDO
171          rhokm1(i,j)  = 0. _d 0          rhokm1(i,j)  = 0. _d 0
172          rhokp1(i,j)  = 0. _d 0          rhokp1(i,j)  = 0. _d 0
173            rhotmp(i,j)  = 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    
 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  
   
180  C--     Set up work arrays that need valid initial values  C--     Set up work arrays that need valid initial values
181          DO j=1-OLy,sNy+OLy          DO j=1-OLy,sNy+OLy
182           DO i=1-OLx,sNx+OLx           DO i=1-OLx,sNx+OLx
# Line 151  C--     Set up work arrays that need val Line 189  C--     Set up work arrays that need val
189            fVerU(i,j,2) = 0. _d 0            fVerU(i,j,2) = 0. _d 0
190            fVerV(i,j,1) = 0. _d 0            fVerV(i,j,1) = 0. _d 0
191            fVerV(i,j,2) = 0. _d 0            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           ENDDO
198          ENDDO          ENDDO
199    
# Line 166  C--     Calculate gradient of surface pr Line 209  C--     Calculate gradient of surface pr
209       I       myThid)       I       myThid)
210    
211  C--     Update fields in top level according to tendency terms  C--     Update fields in top level according to tendency terms
212          CALL TIMESTEP(          CALL CORRECTION_STEP(
213       I       bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid)       I       bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid)
214    
215  C--     Density of 1st level (below W(1)) reference to level 1  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, 1, 1, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax, 1, 1, eosType,
218       O     rhoKm1,       O     rhoKm1,
219       I     myThid )       I     myThid )
220  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
# Line 179  C--     Integrate hydrostatic balance fo Line 222  C--     Integrate hydrostatic balance fo
222       I      bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1,       I      bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1,
223       U      pH,       U      pH,
224       I      myThid )       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          DO K=2,Nz
232  C--     Update fields in Kth level according to tendency terms  C--     Update fields in Kth level according to tendency terms
233          CALL TIMESTEP(          CALL CORRECTION_STEP(
234       I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid)       I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid)
235  C--     Density of K-1 level (above W(K)) reference to K level  C--     Density of K-1 level (above W(K)) reference to K-1 level
236          CALL FIND_RHO(  copt    CALL FIND_RHO(
237       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K, 'LINEAR',  copt I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, eosType,
238       O     rhoKm1,  copt O     rhoKm1,
239       I     myThid )  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  C--     Density of K level (below W(K)) reference to K level
247          CALL FIND_RHO(          CALL FIND_RHO(
248       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
249       O     rhoKp1,       O     rhoKp1,
250       I     myThid )       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  C--     Calculate iso-neutral slopes for the GM/Redi parameterisation
257          CALL CALC_ISOSLOPES(          CALL CALC_ISOSLOPES(
258       I            bi, bj, iMin, iMax, jMin, jMax, K,       I            bi, bj, iMin, iMax, jMin, jMax, K,
259       I            rhoKm1, rhoKp1,       I            rhoKm1, rhoKp1, rhotmp,
260       O            K13, K23, K33, KapGM,       O            K13, K23, K33, KapGM,
261       I            myThid )       I            myThid )
262  C--     Calculate static stability and mix where convectively unstable  C--     Calculate static stability and mix where convectively unstable
# Line 206  C--     Calculate static stability and m Line 265  C--     Calculate static stability and m
265       I      myTime,myIter,myThid)       I      myTime,myIter,myThid)
266  C--     Density of K-1 level (above W(K)) reference to K-1 level  C--     Density of K-1 level (above W(K)) reference to K-1 level
267          CALL FIND_RHO(          CALL FIND_RHO(
268       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, eosType,
269       O     rhoKm1,       O     rhoKm1,
270       I     myThid )       I     myThid )
271  C--     Density of K level (below W(K)) referenced to K level  C--     Density of K level (below W(K)) referenced to K level
272          CALL FIND_RHO(          CALL FIND_RHO(
273       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
274       O     rhoKp1,       O     rhoKp1,
275       I     myThid )       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
# Line 220  C--     Integrate hydrostatic balance fo Line 279  C--     Integrate hydrostatic balance fo
279       U      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          ENDDO
290    
291          DO K = Nz, 1, -1          DO K = Nz, 1, -1
# Line 264  Cdbg I        K13,K23,K33,KapGM, Line 330  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
# Line 274  Cdbg I        myThid) Line 351  Cdbg I        myThid)
351  !dbg &                         maxval(uVel(1:sNx,1:sNy,:,:,:))  !dbg &                         maxval(uVel(1:sNx,1:sNy,:,:,:))
352  !dbg  write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)),  !dbg  write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)),
353  !dbg &                         maxval(vVel(1:sNx,1:sNy,:,:,:))  !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,:,:,:)),  !dbg  write(0,*) 'dynamics: gT',minval(gT(1:sNx,1:sNy,:,:,:)),
361  !dbg &                         maxval(gT(1:sNx,1:sNy,:,:,:))  !dbg &                         maxval(gT(1:sNx,1:sNy,:,:,:))
362  !dbg  write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)),  !dbg  write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)),
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