/[MITgcm]/MITgcm/pkg/mom_vecinv/mom_vecinv.F
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revision 1.63 by jmc, Tue Mar 16 00:16:50 2010 UTC revision 1.69 by jmc, Sun Jul 28 21:04:25 2013 UTC
# Line 2  C $Header$ Line 2  C $Header$
2  C $Name$  C $Name$
3    
4  #include "MOM_VECINV_OPTIONS.h"  #include "MOM_VECINV_OPTIONS.h"
5    #ifdef ALLOW_MOM_COMMON
6    # include "MOM_COMMON_OPTIONS.h"
7    #endif
8    
9        SUBROUTINE MOM_VECINV(        SUBROUTINE MOM_VECINV(
10       I        bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown,       I        bi,bj,k,iMin,iMax,jMin,jMax,
11       I        KappaRU, KappaRV,       I        KappaRU, KappaRV,
12       U        fVerU, fVerV,       I        fVerUkm, fVerVkm,
13         O        fVerUkp, fVerVkp,
14       O        guDiss, gvDiss,       O        guDiss, gvDiss,
15       I        myTime, myIter, myThid)       I        myTime, myIter, myThid )
16  C     /==========================================================\  C     *==========================================================*
17  C     | S/R MOM_VECINV                                           |  C     | S/R MOM_VECINV                                           |
18  C     | o Form the right hand-side of the momentum equation.     |  C     | o Form the right hand-side of the momentum equation.     |
19  C     |==========================================================|  C     *==========================================================*
20  C     | Terms are evaluated one layer at a time working from     |  C     | Terms are evaluated one layer at a time working from     |
21  C     | the bottom to the top. The vertically integrated         |  C     | the bottom to the top. The vertically integrated         |
22  C     | barotropic flow tendency term is evluated by summing the |  C     | barotropic flow tendency term is evluated by summing the |
# Line 23  C     | for the diffusion equation bc wi Line 27  C     | for the diffusion equation bc wi
27  C     | form produces a diffusive flux that does not scale with  |  C     | form produces a diffusive flux that does not scale with  |
28  C     | open-area. Need to do something to solidfy this and to   |  C     | open-area. Need to do something to solidfy this and to   |
29  C     | deal "properly" with thin walls.                         |  C     | deal "properly" with thin walls.                         |
30  C     \==========================================================/  C     *==========================================================*
31        IMPLICIT NONE        IMPLICIT NONE
32    
33  C     == Global variables ==  C     == Global variables ==
34  #include "SIZE.h"  #include "SIZE.h"
 #include "DYNVARS.h"  
35  #include "EEPARAMS.h"  #include "EEPARAMS.h"
36  #include "PARAMS.h"  #include "PARAMS.h"
 #ifdef ALLOW_MNC  
 #include "MNC_PARAMS.h"  
 #endif  
37  #include "GRID.h"  #include "GRID.h"
38    #include "DYNVARS.h"
39    #ifdef ALLOW_MOM_COMMON
40    # include "MOM_VISC.h"
41    #endif
42  #ifdef ALLOW_TIMEAVE  #ifdef ALLOW_TIMEAVE
43  #include "TIMEAVE_STATV.h"  # include "TIMEAVE_STATV.h"
44    #endif
45    #ifdef ALLOW_MNC
46    # include "MNC_PARAMS.h"
47  #endif  #endif
48  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
49  # include "tamc.h"  # include "tamc.h"
# Line 44  C     == Global variables == Line 51  C     == Global variables ==
51  #endif  #endif
52    
53  C     == Routine arguments ==  C     == Routine arguments ==
54  C     fVerU  :: Flux of momentum in the vertical direction, out of the upper  C     bi,bj   :: current tile indices
55  C     fVerV  :: face of a cell K ( flux into the cell above ).  C     k       :: current vertical level
56  C     guDiss :: dissipation tendency (all explicit terms), u component  C     iMin,iMax,jMin,jMax :: loop ranges
57  C     gvDiss :: dissipation tendency (all explicit terms), v component  C     fVerU   :: Flux of momentum in the vertical direction, out of the upper
58  C     bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation  C     fVerV   :: face of a cell K ( flux into the cell above ).
59  C                                      results will be set.  C     fVerUkm :: vertical viscous flux of U, interface above (k-1/2)
60  C     kUp, kDown                     - Index for upper and lower layers.  C     fVerVkm :: vertical viscous flux of V, interface above (k-1/2)
61  C     myThid :: my Thread Id number  C     fVerUkp :: vertical viscous flux of U, interface below (k+1/2)
62    C     fVerVkp :: vertical viscous flux of V, interface below (k+1/2)
63    
64    C     guDiss  :: dissipation tendency (all explicit terms), u component
65    C     gvDiss  :: dissipation tendency (all explicit terms), v component
66    C     myTime  :: current time
67    C     myIter  :: current time-step number
68    C     myThid  :: my Thread Id number
69          INTEGER bi,bj,k
70          INTEGER iMin,iMax,jMin,jMax
71        _RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)        _RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
72        _RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)        _RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
73        _RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)        _RL fVerUkm(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
74        _RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)        _RL fVerVkm(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
75          _RL fVerUkp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
76          _RL fVerVkp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
77        _RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
78        _RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
       INTEGER kUp,kDown  
79        _RL     myTime        _RL     myTime
80        INTEGER myIter        INTEGER myIter
81        INTEGER myThid        INTEGER myThid
       INTEGER bi,bj,iMin,iMax,jMin,jMax  
82    
83  #ifdef ALLOW_MOM_VECINV  #ifdef ALLOW_MOM_VECINV
84    
# Line 93  C     == Local variables == Line 109  C     == Local variables ==
109        _RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
110        _RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
111        _RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
112  C     i,j,k  :: Loop counters  C     i,j    :: Loop counters
113        INTEGER i,j,k        INTEGER i,j
114  C     xxxFac - On-off tracer parameters used for switching terms off.  C     xxxFac :: On-off tracer parameters used for switching terms off.
115        _RL  ArDudrFac        _RL  ArDudrFac
116        _RL  ArDvdrFac        _RL  ArDvdrFac
117        _RL  sideMaskFac        _RL  sideMaskFac
118        LOGICAL bottomDragTerms        LOGICAL bottomDragTerms
119        LOGICAL writeDiag        LOGICAL writeDiag
       LOGICAL harmonic,biharmonic,useVariableViscosity  
120  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
121        INTEGER imomkey        INTEGER imomkey
122  #endif  #endif
# Line 116  C--   only the kDown part of fverU/V is Line 131  C--   only the kDown part of fverU/V is
131  C--   the kUp is still required  C--   the kUp is still required
132  C--   In the case of mom_fluxform Kup is set as well  C--   In the case of mom_fluxform Kup is set as well
133  C--   (at least in part)  C--   (at least in part)
134        fVerU(1,1,kUp) = fVerU(1,1,kUp)        fVerUkm(1,1) = fVerUkm(1,1)
135        fVerV(1,1,kUp) = fVerV(1,1,kUp)        fVerVkm(1,1) = fVerVkm(1,1)
136  #endif  #endif
137    
138  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
# Line 248  CADJ &     comlev1_bibj_k, key = imomkey Line 263  CADJ &     comlev1_bibj_k, key = imomkey
263         CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid)         CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid)
264    
265  C-     account for no-slip / free-slip BC:  C-     account for no-slip / free-slip BC:
266         DO j=1-Oly,sNy+Oly         DO j=1-OLy,sNy+OLy
267          DO i=1-Olx,sNx+Olx          DO i=1-OLx,sNx+OLx
268            IF ( hFacZ(i,j).EQ.0. ) THEN            IF ( hFacZ(i,j).EQ.0. ) THEN
269              vort3(i,j)  = sideMaskFac*vort3(i,j)              vort3(i,j)  = sideMaskFac*vort3(i,j)
270              strain(i,j) = sideMaskFac*strain(i,j)              strain(i,j) = sideMaskFac*strain(i,j)
# Line 258  C-     account for no-slip / free-slip B Line 273  C-     account for no-slip / free-slip B
273         ENDDO         ENDDO
274    
275  C--    Calculate Viscosities  C--    Calculate Viscosities
276         CALL MOM_CALC_VISC(         CALL MOM_CALC_VISC( bi, bj, k,
277       I        bi,bj,k,       O        viscAh_Z, viscAh_D, viscA4_Z, viscA4_D,
278       O        viscAh_Z,viscAh_D,viscA4_Z,viscA4_D,       I        hDiv, vort3, tension, strain, KE, hfacZ,
279       O        harmonic,biharmonic,useVariableViscosity,       I        myThid )
      I        hDiv,vort3,tension,strain,KE,hfacZ,  
      I        myThid)  
280    
281  C      Calculate del^2 u and del^2 v for bi-harmonic term  C      Calculate del^2 u and del^2 v for bi-harmonic term
282         IF (biharmonic) THEN         IF (useBiharmonicVisc) THEN
283           CALL MOM_VI_DEL2UV(bi,bj,k,hDiv,vort3,hFacZ,           CALL MOM_VI_DEL2UV(bi,bj,k,hDiv,vort3,hFacZ,
284       O                      del2u,del2v,       O                      del2u,del2v,
285       &                      myThid)       &                      myThid)
286           CALL MOM_CALC_HDIV(bi,bj,k,2,del2u,del2v,dStar,myThid)           CALL MOM_CALC_HDIV(bi,bj,k,2,del2u,del2v,dStar,myThid)
287           CALL MOM_CALC_RELVORT3(bi,bj,k,           CALL MOM_CALC_RELVORT3(bi,bj,k,
288       &                          del2u,del2v,hFacZ,zStar,myThid)       &                          del2u,del2v,hFacZ,zStar,myThid)
289             IF ( writeDiag ) THEN
290               CALL WRITE_LOCAL_RL( 'del2u', 'I10', 1, del2u,
291         &                           bi,bj,k, myIter, myThid )
292               CALL WRITE_LOCAL_RL( 'del2v', 'I10', 1, del2v,
293         &                           bi,bj,k, myIter, myThid )
294               CALL WRITE_LOCAL_RL( 'dStar', 'I10', 1, dStar,
295         &                           bi,bj,k, myIter, myThid )
296               CALL WRITE_LOCAL_RL( 'zStar', 'I10', 1, zStar,
297         &                           bi,bj,k, myIter, myThid )
298             ENDIF
299         ENDIF         ENDIF
300    
301  C-    Strain diagnostics:  C-    Strain diagnostics:
# Line 298  C---   Calculate dissipation terms for U Line 321  C---   Calculate dissipation terms for U
321  C      in terms of tension and strain  C      in terms of tension and strain
322         IF (useStrainTensionVisc) THEN         IF (useStrainTensionVisc) THEN
323  C        mask strain as if free-slip since side-drag is computed separately  C        mask strain as if free-slip since side-drag is computed separately
324           DO j=1-Oly,sNy+Oly           DO j=1-OLy,sNy+OLy
325            DO i=1-Olx,sNx+Olx            DO i=1-OLx,sNx+OLx
326              IF ( hFacZ(i,j).EQ.0. ) strain(i,j) = 0. _d 0              IF ( hFacZ(i,j).EQ.0. ) strain(i,j) = 0. _d 0
327            ENDDO            ENDDO
328           ENDDO           ENDDO
329           CALL MOM_HDISSIP(bi,bj,k,hDiv,vort3,tension,strain,KE,           CALL MOM_HDISSIP( bi, bj, k,
330       I                    hFacZ,       I            hDiv, vort3, tension, strain, KE, hFacZ,
331       I                    viscAh_Z,viscAh_D,viscA4_Z,viscA4_D,       I            viscAh_Z, viscAh_D, viscA4_Z, viscA4_D,
332       I                    harmonic,biharmonic,useVariableViscosity,       I            useHarmonicVisc, useBiharmonicVisc, useVariableVisc,
333       O                    guDiss,gvDiss,       O            guDiss, gvDiss,
334       I                    myThid)       I            myThid )
335         ELSE         ELSE
336  C      in terms of vorticity and divergence  C      in terms of vorticity and divergence
337           CALL MOM_VI_HDISSIP(bi,bj,k,hDiv,vort3,tension,strain,KE,           CALL MOM_VI_HDISSIP( bi, bj, k,
338       I                       hFacZ,dStar,zStar,       I            hDiv, vort3, tension, strain, KE, hFacZ,dStar,zStar,
339       I                       viscAh_Z,viscAh_D,viscA4_Z,viscA4_D,       I            viscAh_Z, viscAh_D, viscA4_Z, viscA4_D,
340       I                       harmonic,biharmonic,useVariableViscosity,       I            useHarmonicVisc, useBiharmonicVisc, useVariableVisc,
341       O                       guDiss,gvDiss,       O            guDiss, gvDiss,
342       &                       myThid)       &            myThid )
343         ENDIF         ENDIF
344  C--   if (momViscosity) end of block.  C--   if (momViscosity) end of block.
345        ENDIF        ENDIF
# Line 335  C     Eddy component of vertical flux (i Line 358  C     Eddy component of vertical flux (i
358  C     Combine fluxes  C     Combine fluxes
359         DO j=jMin,jMax         DO j=jMin,jMax
360          DO i=iMin,iMax          DO i=iMin,iMax
361           fVerU(i,j,kDown) = ArDudrFac*vrF(i,j)           fVerUkp(i,j) = ArDudrFac*vrF(i,j)
362          ENDDO          ENDDO
363         ENDDO         ENDDO
364    
365  C--   Tendency is minus divergence of the fluxes  C--   Tendency is minus divergence of the fluxes
366         DO j=2-Oly,sNy+Oly-1         DO j=jMin,jMax
367          DO i=2-Olx,sNx+Olx-1          DO i=iMin,iMax
368           guDiss(i,j) = guDiss(i,j)           guDiss(i,j) = guDiss(i,j)
369       &   -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)       &   -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)
370       &   *recip_rAw(i,j,bi,bj)       &   *recip_rAw(i,j,bi,bj)
371       &  *(       &   *( fVerUkp(i,j) - fVerUkm(i,j) )*rkSign
      &    fVerU(i,j,kDown) - fVerU(i,j,kUp)  
      &   )*rkSign  
372          ENDDO          ENDDO
373         ENDDO         ENDDO
374        ENDIF        ENDIF
# Line 355  C--   Tendency is minus divergence of th Line 376  C--   Tendency is minus divergence of th
376  C-- No-slip and drag BCs appear as body forces in cell abutting topography  C-- No-slip and drag BCs appear as body forces in cell abutting topography
377        IF (momViscosity.AND.no_slip_sides) THEN        IF (momViscosity.AND.no_slip_sides) THEN
378  C-     No-slip BCs impose a drag at walls...  C-     No-slip BCs impose a drag at walls...
379         CALL MOM_U_SIDEDRAG(         CALL MOM_U_SIDEDRAG( bi, bj, k,
380       I        bi,bj,k,       I          uFld, del2u, hFacZ,
381       I        uFld, del2u, hFacZ,       I          viscAh_Z, viscA4_Z,
382       I        viscAh_Z,viscA4_Z,       I          useHarmonicVisc, useBiharmonicVisc, useVariableVisc,
383       I        harmonic,biharmonic,useVariableViscosity,       O          vF,
384       O        vF,       I          myThid )
      I        myThid)  
385         DO j=jMin,jMax         DO j=jMin,jMax
386          DO i=iMin,iMax          DO i=iMin,iMax
387           guDiss(i,j) = guDiss(i,j)+vF(i,j)           guDiss(i,j) = guDiss(i,j)+vF(i,j)
# Line 400  C     Eddy component of vertical flux (i Line 420  C     Eddy component of vertical flux (i
420  C     Combine fluxes -> fVerV  C     Combine fluxes -> fVerV
421         DO j=jMin,jMax         DO j=jMin,jMax
422          DO i=iMin,iMax          DO i=iMin,iMax
423           fVerV(i,j,kDown) = ArDvdrFac*vrF(i,j)           fVerVkp(i,j) = ArDvdrFac*vrF(i,j)
424          ENDDO          ENDDO
425         ENDDO         ENDDO
426    
# Line 409  C--   Tendency is minus divergence of th Line 429  C--   Tendency is minus divergence of th
429          DO i=iMin,iMax          DO i=iMin,iMax
430           gvDiss(i,j) = gvDiss(i,j)           gvDiss(i,j) = gvDiss(i,j)
431       &   -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)       &   -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)
432       &    *recip_rAs(i,j,bi,bj)       &   *recip_rAs(i,j,bi,bj)
433       &  *(       &   *( fVerVkp(i,j) - fVerVkm(i,j) )*rkSign
      &    fVerV(i,j,kDown) - fVerV(i,j,kUp)  
      &   )*rkSign  
434          ENDDO          ENDDO
435         ENDDO         ENDDO
436        ENDIF        ENDIF
# Line 420  C--   Tendency is minus divergence of th Line 438  C--   Tendency is minus divergence of th
438  C-- No-slip and drag BCs appear as body forces in cell abutting topography  C-- No-slip and drag BCs appear as body forces in cell abutting topography
439        IF (momViscosity.AND.no_slip_sides) THEN        IF (momViscosity.AND.no_slip_sides) THEN
440  C-     No-slip BCs impose a drag at walls...  C-     No-slip BCs impose a drag at walls...
441         CALL MOM_V_SIDEDRAG(         CALL MOM_V_SIDEDRAG( bi, bj, k,
442       I        bi,bj,k,       I          vFld, del2v, hFacZ,
443       I        vFld, del2v, hFacZ,       I          viscAh_Z, viscA4_Z,
444       I        viscAh_Z,viscA4_Z,       I          useHarmonicVisc, useBiharmonicVisc, useVariableVisc,
445       I        harmonic,biharmonic,useVariableViscosity,       O          vF,
446       O        vF,       I          myThid )
      I        myThid)  
447         DO j=jMin,jMax         DO j=jMin,jMax
448          DO i=iMin,iMax          DO i=iMin,iMax
449           gvDiss(i,j) = gvDiss(i,j)+vF(i,j)           gvDiss(i,j) = gvDiss(i,j)+vF(i,j)
# Line 444  C-    No-slip BCs impose a drag at botto Line 461  C-    No-slip BCs impose a drag at botto
461        ENDIF        ENDIF
462  #ifdef ALLOW_SHELFICE  #ifdef ALLOW_SHELFICE
463        IF (useShelfIce.AND.momViscosity.AND.bottomDragTerms) THEN        IF (useShelfIce.AND.momViscosity.AND.bottomDragTerms) THEN
464           CALL SHELFICE_V_DRAG(bi,bj,k,vFld,KE,KappaRU,vF,myThid)           CALL SHELFICE_V_DRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid)
465           DO j=jMin,jMax           DO j=jMin,jMax
466            DO i=iMin,iMax            DO i=iMin,iMax
467             gvDiss(i,j) = gvDiss(i,j) + vF(i,j)             gvDiss(i,j) = gvDiss(i,j) + vF(i,j)
# Line 476  C---+----1----+----2----+----3----+----4 Line 493  C---+----1----+----2----+----3----+----4
493    
494  C---  Prepare for Advection & Coriolis terms:  C---  Prepare for Advection & Coriolis terms:
495  C-    Mask relative vorticity and calculate absolute vorticity  C-    Mask relative vorticity and calculate absolute vorticity
496        DO j=1-Oly,sNy+Oly        DO j=1-OLy,sNy+OLy
497         DO i=1-Olx,sNx+Olx         DO i=1-OLx,sNx+OLx
498           IF ( hFacZ(i,j).EQ.0. ) vort3(i,j) = 0.           IF ( hFacZ(i,j).EQ.0. ) vort3(i,j) = 0.
499         ENDDO         ENDDO
500        ENDDO        ENDDO
# Line 703  C--   Set du/dt & dv/dt on boundaries to Line 720  C--   Set du/dt & dv/dt on boundaries to
720        ENDDO        ENDDO
721    
722  #ifdef ALLOW_DEBUG  #ifdef ALLOW_DEBUG
723        IF ( debugLevel .GE. debLevB        IF ( debugLevel .GE. debLevC
724       &   .AND. k.EQ.4 .AND. myIter.EQ.nIter0       &   .AND. k.EQ.4 .AND. myIter.EQ.nIter0
725       &   .AND. nPx.EQ.1 .AND. nPy.EQ.1       &   .AND. nPx.EQ.1 .AND. nPy.EQ.1
726       &   .AND. useCubedSphereExchange ) THEN       &   .AND. useCubedSphereExchange ) THEN
# Line 748  C--   Set du/dt & dv/dt on boundaries to Line 765  C--   Set du/dt & dv/dt on boundaries to
765          CALL DIAGNOSTICS_FILL(guDiss, 'Um_Diss ',k,1,2,bi,bj,myThid)          CALL DIAGNOSTICS_FILL(guDiss, 'Um_Diss ',k,1,2,bi,bj,myThid)
766          CALL DIAGNOSTICS_FILL(gvDiss, 'Vm_Diss ',k,1,2,bi,bj,myThid)          CALL DIAGNOSTICS_FILL(gvDiss, 'Vm_Diss ',k,1,2,bi,bj,myThid)
767         ENDIF         ENDIF
768          CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj),          CALL DIAGNOSTICS_FILL(gU(1-OLx,1-OLy,k,bi,bj),
769       &                                'Um_Advec',k,1,2,bi,bj,myThid)       &                                'Um_Advec',k,1,2,bi,bj,myThid)
770          CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj),          CALL DIAGNOSTICS_FILL(gV(1-OLx,1-OLy,k,bi,bj),
771       &                                'Vm_Advec',k,1,2,bi,bj,myThid)       &                                'Vm_Advec',k,1,2,bi,bj,myThid)
772        ENDIF        ENDIF
773  #endif /* ALLOW_DIAGNOSTICS */  #endif /* ALLOW_DIAGNOSTICS */
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