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revision 1.9 by cnh, Mon May 25 21:29:45 1998 UTC revision 1.14 by cnh, Mon Jun 8 21:43:01 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 rhotmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
91        _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
92        _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
93        _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K13   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
94        _RL K23   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K23   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
95        _RL K33   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)        _RL K33   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz)
96        _RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
97          _RL KappaZT(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz)
98    
99        INTEGER iMin, iMax        INTEGER iMin, iMax
100        INTEGER jMin, jMax        INTEGER jMin, jMax
101        INTEGER bi, bj        INTEGER bi, bj
102        INTEGER i, j        INTEGER i, j
103        INTEGER k, kM1, kUp, kDown        INTEGER k, kM1, kUp, kDown
104    
105    C---    The algorithm...
106    C
107    C       "Correction Step"
108    C       =================
109    C       Here we update the horizontal velocities with the surface
110    C       pressure such that the resulting flow is either consistent
111    C       with the free-surface evolution or the rigid-lid:
112    C         U[n] = U* + dt x d/dx P
113    C         V[n] = V* + dt x d/dy P
114    C
115    C       "Calculation of Gs"
116    C       ===================
117    C       This is where all the accelerations and tendencies (ie.
118    C       physics, parameterizations etc...) are calculated
119    C         w = sum_z ( div. u[n] )
120    C         rho = rho ( theta[n], salt[n] )
121    C         K31 = K31 ( rho )
122    C         Gu[n] = Gu( u[n], v[n], w, rho, Ph, ... )
123    C         Gv[n] = Gv( u[n], v[n], w, rho, Ph, ... )
124    C         Gt[n] = Gt( theta[n], u[n], v[n], w, K31, ... )
125    C         Gs[n] = Gs( salt[n], u[n], v[n], w, K31, ... )
126    C
127    C       "Time-stepping" or "Prediction"
128    C       ================================
129    C       The models variables are stepped forward with the appropriate
130    C       time-stepping scheme (currently we use Adams-Bashforth II)
131    C       - For momentum, the result is always *only* a "prediction"
132    C       in that the flow may be divergent and will be "corrected"
133    C       later with a surface pressure gradient.
134    C       - Normally for tracers the result is the new field at time
135    C       level [n+1} *BUT* in the case of implicit diffusion the result
136    C       is also *only* a prediction.
137    C       - We denote "predictors" with an asterisk (*).
138    C         U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] )
139    C         V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] )
140    C         theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
141    C         salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
142    C       With implicit diffusion:
143    C         theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
144    C         salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] )
145    C         (1 + dt * K * d_zz) theta[n] = theta*
146    C         (1 + dt * K * d_zz) salt[n] = salt*
147    C---
148    
149  C--   Set up work arrays with valid (i.e. not NaN) values  C--   Set up work arrays with valid (i.e. not NaN) values
150  C     These inital values do not alter the numerical results. They  C     These inital values do not alter the numerical results. They
151  C     just ensure that all memory references are to valid floating  C     just ensure that all memory references are to valid floating
# Line 119  C     uninitialised but inert locations. Line 169  C     uninitialised but inert locations.
169           K13(i,j,k) = 0. _d 0           K13(i,j,k) = 0. _d 0
170           K23(i,j,k) = 0. _d 0           K23(i,j,k) = 0. _d 0
171           K33(i,j,k) = 0. _d 0           K33(i,j,k) = 0. _d 0
172             KappaZT(i,j,k) = 0. _d 0
173          ENDDO          ENDDO
174          rhokm1(i,j)  = 0. _d 0          rhokm1(i,j)  = 0. _d 0
175          rhokp1(i,j)  = 0. _d 0          rhokp1(i,j)  = 0. _d 0
176            rhotmp(i,j)  = 0. _d 0
177         ENDDO         ENDDO
178        ENDDO        ENDDO
179    
180        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
181         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
182    
 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  
   
183  C--     Set up work arrays that need valid initial values  C--     Set up work arrays that need valid initial values
184          DO j=1-OLy,sNy+OLy          DO j=1-OLy,sNy+OLy
185           DO i=1-OLx,sNx+OLx           DO i=1-OLx,sNx+OLx
186            wTrans(i,j)  = 0. _d 0            wTrans(i,j)  = 0. _d 0
187              wVel  (i,j,1) = 0. _d 0
188              wVel  (i,j,2) = 0. _d 0
189            fVerT(i,j,1) = 0. _d 0            fVerT(i,j,1) = 0. _d 0
190            fVerT(i,j,2) = 0. _d 0            fVerT(i,j,2) = 0. _d 0
191            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 194  C--     Set up work arrays that need val
194            fVerU(i,j,2) = 0. _d 0            fVerU(i,j,2) = 0. _d 0
195            fVerV(i,j,1) = 0. _d 0            fVerV(i,j,1) = 0. _d 0
196            fVerV(i,j,2) = 0. _d 0            fVerV(i,j,2) = 0. _d 0
197              pH(i,j,1) = 0. _d 0
198              K13(i,j,1) = 0. _d 0
199              K23(i,j,1) = 0. _d 0
200              K33(i,j,1) = 0. _d 0
201              KapGM(i,j) = 0. _d 0
202           ENDDO           ENDDO
203          ENDDO          ENDDO
204    
# Line 166  C--     Calculate gradient of surface pr Line 214  C--     Calculate gradient of surface pr
214       I       myThid)       I       myThid)
215    
216  C--     Update fields in top level according to tendency terms  C--     Update fields in top level according to tendency terms
217          CALL TIMESTEP(          CALL CORRECTION_STEP(
218       I       bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid)       I       bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid)
219    
220  C--     Density of 1st level (below W(1)) reference to level 1  C--     Density of 1st level (below W(1)) reference to level 1
221          CALL FIND_RHO(          CALL FIND_RHO(
222       I     bi, bj, iMin, iMax, jMin, jMax, 1, 1, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax, 1, 1, eosType,
223       O     rhoKm1,       O     rhoKm1,
224       I     myThid )       I     myThid )
225  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 227  C--     Integrate hydrostatic balance fo
227       I      bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1,       I      bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1,
228       U      pH,       U      pH,
229       I      myThid )       I      myThid )
230            DO J=1-Oly,sNy+Oly
231             DO I=1-Olx,sNx+Olx
232              rhoKp1(I,J)=rhoKm1(I,J)
233             ENDDO
234            ENDDO
235    
236          DO K=2,Nz          DO K=2,Nz
237  C--     Update fields in Kth level according to tendency terms  C--     Update fields in Kth level according to tendency terms
238          CALL TIMESTEP(          CALL CORRECTION_STEP(
239       I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid)       I       bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid)
240  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
241          CALL FIND_RHO(  copt    CALL FIND_RHO(
242       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K, 'LINEAR',  copt I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, eosType,
243       O     rhoKm1,  copt O     rhoKm1,
244       I     myThid )  copt I     myThid )
245    C       rhoKm1=rhoKp1
246            DO J=1-Oly,sNy+Oly
247             DO I=1-Olx,sNx+Olx
248              rhoKm1(I,J)=rhoKp1(I,J)
249             ENDDO
250            ENDDO
251  C--     Density of K level (below W(K)) reference to K level  C--     Density of K level (below W(K)) reference to K level
252          CALL FIND_RHO(          CALL FIND_RHO(
253       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
254       O     rhoKp1,       O     rhoKp1,
255       I     myThid )       I     myThid )
256    C--     Density of K-1 level (above W(K)) reference to K level
257            CALL FIND_RHO(
258         I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K, eosType,
259         O     rhotmp,
260         I     myThid )
261  C--     Calculate iso-neutral slopes for the GM/Redi parameterisation  C--     Calculate iso-neutral slopes for the GM/Redi parameterisation
262          CALL CALC_ISOSLOPES(          CALL CALC_ISOSLOPES(
263       I            bi, bj, iMin, iMax, jMin, jMax, K,       I            bi, bj, iMin, iMax, jMin, jMax, K,
264       I            rhoKm1, rhoKp1,       I            rhoKm1, rhoKp1, rhotmp,
265       O            K13, K23, K33, KapGM,       O            K13, K23, K33, KapGM,
266       I            myThid )       I            myThid )
267  C--     Calculate static stability and mix where convectively unstable  C--     Calculate static stability and mix where convectively unstable
268          CALL CONVECT(          CALL CONVECT(
269       I      bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1,       I      bi,bj,iMin,iMax,jMin,jMax,K,rhotmp,rhoKp1,
270       I      myTime,myIter,myThid)       I      myTime,myIter,myThid)
271  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
272          CALL FIND_RHO(          CALL FIND_RHO(
273       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax,  K-1, K-1, eosType,
274       O     rhoKm1,       O     rhoKm1,
275       I     myThid )       I     myThid )
276  C--     Density of K level (below W(K)) referenced to K level  C--     Density of K level (below W(K)) referenced to K level
277          CALL FIND_RHO(          CALL FIND_RHO(
278       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, 'LINEAR',       I     bi, bj, iMin, iMax, jMin, jMax,  K, K, eosType,
279       O     rhoKp1,       O     rhoKp1,
280       I     myThid )       I     myThid )
281  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 284  C--     Integrate hydrostatic balance fo
284       U      pH,       U      pH,
285       I      myThid )       I      myThid )
286    
287            ENDDO ! K
288    
289    C--     Initial boundary condition on barotropic divergence integral
290            DO j=1-OLy,sNy+OLy
291             DO i=1-OLx,sNx+OLx
292              cg2d_b(i,j,bi,bj) = 0. _d 0
293             ENDDO
294          ENDDO          ENDDO
295    
296          DO K = Nz, 1, -1          DO K = Nz, 1, -1
# Line 234  C--     Integrate hydrostatic balance fo Line 305  C--     Integrate hydrostatic balance fo
305  C--      Get temporary terms used by tendency routines  C--      Get temporary terms used by tendency routines
306           CALL CALC_COMMON_FACTORS (           CALL CALC_COMMON_FACTORS (
307       I        bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,       I        bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
308       O        xA,yA,uTrans,vTrans,wTrans,maskC,maskUp,       O        xA,yA,uTrans,vTrans,wTrans,wVel,maskC,maskUp,
309         I        myThid)
310    
311    C--      Calculate the total vertical diffusivity
312             CALL CALC_DIFFUSIVITY(
313         I        bi,bj,iMin,iMax,jMin,jMax,K,
314         I        maskC,maskUp,KapGM,K33,
315         O        KappaZT,
316       I        myThid)       I        myThid)
317    
318  C--      Calculate accelerations in the momentum equations  C--      Calculate accelerations in the momentum equations
319           IF ( momStepping ) THEN           IF ( momStepping ) THEN
320            CALL CALC_MOM_RHS(            CALL CALC_MOM_RHS(
321       I         bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,       I         bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
322       I         xA,yA,uTrans,vTrans,wTrans,maskC,       I         xA,yA,uTrans,vTrans,wTrans,wVel,maskC,
323       I         pH,       I         pH,
324       U         aTerm,xTerm,cTerm,mTerm,pTerm,       U         aTerm,xTerm,cTerm,mTerm,pTerm,
325       U         fZon, fMer, fVerU, fVerV,       U         fZon, fMer, fVerU, fVerV,
# Line 253  C--      Calculate active tracer tendenc Line 331  C--      Calculate active tracer tendenc
331            CALL CALC_GT(            CALL CALC_GT(
332       I         bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,       I         bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown,
333       I         xA,yA,uTrans,vTrans,wTrans,maskUp,       I         xA,yA,uTrans,vTrans,wTrans,maskUp,
334       I         K13,K23,K33,KapGM,       I         K13,K23,KappaZT,KapGM,
335       U         aTerm,xTerm,fZon,fMer,fVerT,       U         aTerm,xTerm,fZon,fMer,fVerT,
336       I         myThid)       I         myThid)
337           ENDIF           ENDIF
# Line 264  Cdbg I        K13,K23,K33,KapGM, Line 342  Cdbg I        K13,K23,K33,KapGM,
342  Cdbg U        aTerm,xTerm,fZon,fMer,fVerS,  Cdbg U        aTerm,xTerm,fZon,fMer,fVerS,
343  Cdbg I        myThid)  Cdbg I        myThid)
344    
345          ENDDO  C--      Prediction step (step forward all model variables)
346             CALL TIMESTEP(
347         I       bi,bj,iMin,iMax,jMin,jMax,K,
348         I       myThid)
349    
350    C--      Diagnose barotropic divergence of predicted fields
351             CALL DIV_G(
352         I       bi,bj,iMin,iMax,jMin,jMax,K,
353         I       xA,yA,
354         I       myThid)
355    
356            ENDDO ! K
357    
358    C--     Implicit diffusion
359            IF (implicitDiffusion) THEN
360             CALL IMPLDIFF( bi, bj, iMin, iMax, jMin, jMax,
361         I                  KappaZT,
362         I                  myThid )
363            ENDIF
364    
365         ENDDO         ENDDO
366        ENDDO        ENDDO
367    
368  !dbg  write(0,*) 'dynamics: pS',minval(cg2d_x),maxval(cg2d_x)        write(0,*) 'dynamics: pS',minval(cg2d_x),maxval(cg2d_x)
369  !dbg  write(0,*) 'dynamics: U',minval(uVel(1:sNx,1:sNy,:,:,:)),        write(0,*) 'dynamics: U',minval(uVel(1:sNx,1:sNy,:,:,:)),
370  !dbg &                         maxval(uVel(1:sNx,1:sNy,:,:,:))       &                         maxval(uVel(1:sNx,1:sNy,:,:,:))
371  !dbg  write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)),        write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)),
372  !dbg &                         maxval(vVel(1:sNx,1:sNy,:,:,:))       &                         maxval(vVel(1:sNx,1:sNy,:,:,:))
373  !dbg  write(0,*) 'dynamics: gT',minval(gT(1:sNx,1:sNy,:,:,:)),        write(0,*) 'dynamics: K13',minval(K13(1:sNx,1:sNy,:)),
374  !dbg &                         maxval(gT(1:sNx,1:sNy,:,:,:))       &                         maxval(K13(1:sNx,1:sNy,:))
375  !dbg  write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)),        write(0,*) 'dynamics: K23',minval(K23(1:sNx,1:sNy,:)),
376  !dbg &                         maxval(Theta(1:sNx,1:sNy,:,:,:))       &                         maxval(K23(1:sNx,1:sNy,:))
377  !dbg  write(0,*) 'dynamics: pH',minval(pH/(Gravity*Rhonil)),        write(0,*) 'dynamics: K33',minval(K33(1:sNx,1:sNy,:)),
378  !dbg &                          maxval(pH/(Gravity*Rhonil))       &                         maxval(K33(1:sNx,1:sNy,:))
379          write(0,*) 'dynamics: gT',minval(gT(1:sNx,1:sNy,:,:,:)),
380         &                         maxval(gT(1:sNx,1:sNy,:,:,:))
381          write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)),
382         &                         maxval(Theta(1:sNx,1:sNy,:,:,:))
383          write(0,*) 'dynamics: pH',minval(pH/(Gravity*Rhonil)),
384         &                          maxval(pH/(Gravity*Rhonil))
385    
386        RETURN        RETURN
387        END        END
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