pkg/mom_vecinv/mom_vecinv.F

C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vecinv.F,v 1.18 2004/05/24 20:03:49 adcroft Exp $
C $Name:  $

#include "PACKAGES_CONFIG.h"
#include "CPP_OPTIONS.h"

      SUBROUTINE MOM_VECINV( 
     I        bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown,
     I        dPhiHydX,dPhiHydY,KappaRU,KappaRV,
     U        fVerU, fVerV,
     I        myTime, myIter, myThid)
C     /==========================================================\
C     | S/R MOM_VECINV                                           |
C     | o Form the right hand-side of the momentum equation.     |
C     |==========================================================|
C     | Terms are evaluated one layer at a time working from     |
C     | the bottom to the top. The vertically integrated         |
C     | barotropic flow tendency term is evluated by summing the |
C     | tendencies.                                              |
C     | Notes:                                                   |
C     | We have not sorted out an entirely satisfactory formula  |
C     | for the diffusion equation bc with lopping. The present  |
C     | form produces a diffusive flux that does not scale with  |
C     | open-area. Need to do something to solidfy this and to   |
C     | deal "properly" with thin walls.                         |
C     \==========================================================/
      IMPLICIT NONE

C     == Global variables ==
#include "SIZE.h"
#include "DYNVARS.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"
#ifdef ALLOW_TIMEAVE
#include "TIMEAVE_STATV.h"
#endif

C     == Routine arguments ==
C     fVerU   - Flux of momentum in the vertical
C     fVerV     direction out of the upper face of a cell K
C               ( flux into the cell above ).
C     dPhiHydX,Y :: Gradient (X & Y dir.) of Hydrostatic Potential
C     bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation
C                                      results will be set.
C     kUp, kDown                     - Index for upper and lower layers.
C     myThid - Instance number for this innvocation of CALC_MOM_RHS
      _RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      _RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
      INTEGER kUp,kDown
      _RL     myTime
      INTEGER myIter
      INTEGER myThid
      INTEGER bi,bj,iMin,iMax,jMin,jMax

#ifdef ALLOW_MOM_VECINV

C     == Functions ==
      LOGICAL  DIFFERENT_MULTIPLE
      EXTERNAL DIFFERENT_MULTIPLE

C     == Local variables ==
      _RL      aF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL      vF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL      vrF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL      uCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL      vCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL      mT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL      pF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL del2v(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL uDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL vDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
C     I,J,K - Loop counters
      INTEGER i,j,k
C     rVelMaskOverride - Factor for imposing special surface boundary conditions
C                        ( set according to free-surface condition ).
C     hFacROpen        - Lopped cell factos used tohold fraction of open
C     hFacRClosed        and closed cell wall.
      _RL  rVelMaskOverride
C     xxxFac - On-off tracer parameters used for switching terms off.
      _RL  uDudxFac
      _RL  AhDudxFac
      _RL  A4DuxxdxFac
      _RL  vDudyFac
      _RL  AhDudyFac
      _RL  A4DuyydyFac
      _RL  rVelDudrFac
      _RL  ArDudrFac
      _RL  fuFac
      _RL  phxFac
      _RL  mtFacU
      _RL  uDvdxFac
      _RL  AhDvdxFac
      _RL  A4DvxxdxFac
      _RL  vDvdyFac
      _RL  AhDvdyFac
      _RL  A4DvyydyFac
      _RL  rVelDvdrFac
      _RL  ArDvdrFac
      _RL  fvFac
      _RL  phyFac
      _RL  vForcFac
      _RL  mtFacV
      _RL wVelBottomOverride
      LOGICAL bottomDragTerms
      LOGICAL writeDiag
      _RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy)

#ifdef ALLOW_AUTODIFF_TAMC
C--   only the kDown part of fverU/V is set in this subroutine
C--   the kUp is still required
C--   In the case of mom_fluxform Kup is set as well
C--   (at least in part)
      fVerU(1,1,kUp) = fVerU(1,1,kUp)
      fVerV(1,1,kUp) = fVerV(1,1,kUp)
#endif

      rVelMaskOverride=1.
      IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac
      wVelBottomOverride=1.
      IF (k.EQ.Nr) wVelBottomOverride=0.
      writeDiag = DIFFERENT_MULTIPLE(diagFreq, myTime,
     &                                         myTime-deltaTClock)

C     Initialise intermediate terms
      DO J=1-OLy,sNy+OLy
       DO I=1-OLx,sNx+OLx
        aF(i,j)   = 0.
        vF(i,j)   = 0.
        vrF(i,j)  = 0.
        uCf(i,j)   = 0.
        vCf(i,j)   = 0.
        mT(i,j)   = 0.
        pF(i,j)   = 0.
        del2u(i,j) = 0.
        del2v(i,j) = 0.
        dStar(i,j) = 0.
        zStar(i,j) = 0.
        uDiss(i,j) = 0.
        vDiss(i,j) = 0.
        vort3(i,j) = 0.
        omega3(i,j) = 0.
        ke(i,j) = 0.
#ifdef ALLOW_AUTODIFF_TAMC
        strain(i,j)  = 0. _d 0
        tension(i,j) = 0. _d 0
#endif
       ENDDO
      ENDDO

C--   Term by term tracer parmeters
C     o U momentum equation
      uDudxFac     = afFacMom*1.
      AhDudxFac    = vfFacMom*1.
      A4DuxxdxFac  = vfFacMom*1.
      vDudyFac     = afFacMom*1.
      AhDudyFac    = vfFacMom*1.
      A4DuyydyFac  = vfFacMom*1.
      rVelDudrFac  = afFacMom*1.
      ArDudrFac    = vfFacMom*1.
      mTFacU       = mtFacMom*1.
      fuFac        = cfFacMom*1.
      phxFac       = pfFacMom*1.
C     o V momentum equation
      uDvdxFac     = afFacMom*1.
      AhDvdxFac    = vfFacMom*1.
      A4DvxxdxFac  = vfFacMom*1.
      vDvdyFac     = afFacMom*1.
      AhDvdyFac    = vfFacMom*1.
      A4DvyydyFac  = vfFacMom*1.
      rVelDvdrFac  = afFacMom*1.
      ArDvdrFac    = vfFacMom*1.
      mTFacV       = mtFacMom*1.
      fvFac        = cfFacMom*1.
      phyFac       = pfFacMom*1.
      vForcFac     = foFacMom*1.

      IF (     no_slip_bottom
     &    .OR. bottomDragQuadratic.NE.0.
     &    .OR. bottomDragLinear.NE.0.) THEN
       bottomDragTerms=.TRUE.
      ELSE
       bottomDragTerms=.FALSE.
      ENDIF

C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP
      IF (staggerTimeStep) THEN
        phxFac = 0.
        phyFac = 0.
      ENDIF

C--   Calculate open water fraction at vorticity points
      CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid)

C---- Calculate common quantities used in both U and V equations
C     Calculate tracer cell face open areas
      DO j=1-OLy,sNy+OLy
       DO i=1-OLx,sNx+OLx
        xA(i,j) = _dyG(i,j,bi,bj)
     &   *drF(k)*_hFacW(i,j,k,bi,bj)
        yA(i,j) = _dxG(i,j,bi,bj)
     &   *drF(k)*_hFacS(i,j,k,bi,bj)
       ENDDO
      ENDDO

C     Make local copies of horizontal flow field
      DO j=1-OLy,sNy+OLy
       DO i=1-OLx,sNx+OLx
        uFld(i,j) = uVel(i,j,k,bi,bj)
        vFld(i,j) = vVel(i,j,k,bi,bj)
       ENDDO
      ENDDO

C note (jmc) : Dissipation and Vort3 advection do not necesary
C              use the same maskZ (and hFacZ)  => needs 2 call(s)
c     CALL MOM_VI_HFACZ_DISS(bi,bj,k,hFacZ,r_hFacZ,myThid)

      CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid)

      CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid)

      CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid)

c     CALL MOM_CALC_ABSVORT3(bi,bj,k,vort3,omega3,myThid)

      IF (momViscosity) THEN
C      Calculate del^2 u and del^2 v for bi-harmonic term
       IF (viscA4.NE.0.
     &     .OR. viscA4Grid.NE.0.
     &     .OR. viscC4leith.NE.0.
     &    ) THEN
         CALL MOM_VI_DEL2UV(bi,bj,k,hDiv,vort3,hFacZ,
     O                      del2u,del2v,
     &                      myThid)
         CALL MOM_CALC_HDIV(bi,bj,k,2,del2u,del2v,dStar,myThid)
         CALL MOM_CALC_RELVORT3(
     &                         bi,bj,k,del2u,del2v,hFacZ,zStar,myThid)
       ENDIF
C      Calculate dissipation terms for U and V equations
C      in terms of vorticity and divergence
       IF (viscAh.NE.0. .OR. viscA4.NE.0.
     &    .OR.  viscAhGrid.NE.0. .OR. viscA4Grid.NE.0.
     &    .OR.  viscC2leith.NE.0. .OR. viscC4leith.NE.0.
     &    ) THEN
         CALL MOM_VI_HDISSIP(bi,bj,k,hDiv,vort3,hFacZ,dStar,zStar,
     O                       uDiss,vDiss,
     &                       myThid)
       ENDIF
C      or in terms of tension and strain
       IF (viscAstrain.NE.0. .OR. viscAtension.NE.0.) THEN
         CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,
     O                         tension,
     I                         myThid)
         CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,
     O                        strain,
     I                        myThid)
         CALL MOM_HDISSIP(bi,bj,k,
     I                    tension,strain,hFacZ,viscAtension,viscAstrain,
     O                    uDiss,vDiss,
     I                    myThid)
       ENDIF
      ENDIF

C-    Return to standard hfacZ (min-4) and mask vort3 accordingly:
c     CALL MOM_VI_MASK_VORT3(bi,bj,k,hFacZ,r_hFacZ,vort3,myThid)

C---- Zonal momentum equation starts here

C--   Vertical flux (fVer is at upper face of "u" cell)

C     Eddy component of vertical flux (interior component only) -> vrF
      IF (momViscosity.AND..NOT.implicitViscosity)
     & CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid)

C     Combine fluxes
      DO j=jMin,jMax
       DO i=iMin,iMax
        fVerU(i,j,kDown) = ArDudrFac*vrF(i,j)
       ENDDO
      ENDDO

C--   Tendency is minus divergence of the fluxes + coriolis + pressure term
      DO j=2-Oly,sNy+Oly-1
       DO i=2-Olx,sNx+Olx-1
        gU(i,j,k,bi,bj) = uDiss(i,j)
     &   -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)
     &   *recip_rAw(i,j,bi,bj)
     &  *(
     &   +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac
     &   )
     &  - phxFac*dPhiHydX(i,j)
       ENDDO
      ENDDO

C-- No-slip and drag BCs appear as body forces in cell abutting topography 
      IF (momViscosity.AND.no_slip_sides) THEN
C-     No-slip BCs impose a drag at walls...
       CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,del2u,hFacZ,vF,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j)
        ENDDO
       ENDDO
      ENDIF

C-    No-slip BCs impose a drag at bottom
      IF (momViscosity.AND.bottomDragTerms) THEN
       CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j)
        ENDDO
       ENDDO
      ENDIF

C--   Metric terms for curvilinear grid systems
c     IF (usingSphericalPolarMTerms) THEN
C      o Spherical polar grid metric terms
c      CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid)
c      DO j=jMin,jMax
c       DO i=iMin,iMax
c        gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j)
c       ENDDO
c      ENDDO
c     ENDIF

C---- Meridional momentum equation starts here

C--   Vertical flux (fVer is at upper face of "v" cell)

C     Eddy component of vertical flux (interior component only) -> vrF
      IF (momViscosity.AND..NOT.implicitViscosity)
     & CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid)

C     Combine fluxes -> fVerV
      DO j=jMin,jMax
       DO i=iMin,iMax
        fVerV(i,j,kDown) = ArDvdrFac*vrF(i,j)
       ENDDO
      ENDDO

C--   Tendency is minus divergence of the fluxes + coriolis + pressure term
      DO j=jMin,jMax
       DO i=iMin,iMax
        gV(i,j,k,bi,bj) = vDiss(i,j)
     &   -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)
     &    *recip_rAs(i,j,bi,bj)
     &  *(
     &   +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac
     &   )
     &  - phyFac*dPhiHydY(i,j)
       ENDDO
      ENDDO

C-- No-slip and drag BCs appear as body forces in cell abutting topography 
      IF (momViscosity.AND.no_slip_sides) THEN
C-     No-slip BCs impose a drag at walls...
       CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,del2v,hFacZ,vF,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j)
        ENDDO
       ENDDO
      ENDIF
C-    No-slip BCs impose a drag at bottom
      IF (momViscosity.AND.bottomDragTerms) THEN
       CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j)
        ENDDO
       ENDDO
      ENDIF

C--   Metric terms for curvilinear grid systems
c     IF (usingSphericalPolarMTerms) THEN
C      o Spherical polar grid metric terms
c      CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid)
c      DO j=jMin,jMax
c       DO i=iMin,iMax
c        gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j)
c       ENDDO
c      ENDDO
c     ENDIF

C--   Horizontal Coriolis terms
      IF (useCoriolis .AND. .NOT.useCDscheme) THEN
       CALL MOM_VI_CORIOLIS(bi,bj,k,uFld,vFld,omega3,hFacZ,r_hFacZ,
     &                      uCf,vCf,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
         gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
        ENDDO
       ENDDO
       IF ( writeDiag ) THEN
        CALL WRITE_LOCAL_RL('fV','I10',1,uCf,bi,bj,k,myIter,myThid)
        CALL WRITE_LOCAL_RL('fU','I10',1,vCf,bi,bj,k,myIter,myThid)
       ENDIF
      ENDIF

      IF (momAdvection) THEN
C--   Horizontal advection of relative vorticity
c      CALL MOM_VI_U_CORIOLIS(bi,bj,K,vFld,omega3,r_hFacZ,uCf,myThid)
       CALL MOM_VI_U_CORIOLIS(bi,bj,k,vFld,vort3,hFacZ,r_hFacZ,
     &                        uCf,myThid)
c      CALL MOM_VI_U_CORIOLIS_C4(bi,bj,K,vFld,vort3,r_hFacZ,uCf,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
        ENDDO
       ENDDO
c      CALL MOM_VI_V_CORIOLIS(bi,bj,K,uFld,omega3,r_hFacZ,vCf,myThid)
       CALL MOM_VI_V_CORIOLIS(bi,bj,k,uFld,vort3,hFacZ,r_hFacZ,
     &                        vCf,myThid)
c      CALL MOM_VI_V_CORIOLIS_C4(bi,bj,K,uFld,vort3,r_hFacZ,vCf,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
        ENDDO
       ENDDO

       IF ( writeDiag ) THEN
        CALL WRITE_LOCAL_RL('zV','I10',1,uCf,bi,bj,k,myIter,myThid)
        CALL WRITE_LOCAL_RL('zU','I10',1,vCf,bi,bj,k,myIter,myThid)
       ENDIF
#ifdef ALLOW_TIMEAVE
#ifndef HRCUBE
       IF (taveFreq.GT.0.) THEN
         CALL TIMEAVE_CUMUL_1K1T(uZetatave,vCf,deltaTClock,
     &                           Nr, k, bi, bj, myThid)
         CALL TIMEAVE_CUMUL_1K1T(vZetatave,uCf,deltaTClock,
     &                           Nr, k, bi, bj, myThid)
       ENDIF
#endif /* ALLOW_TIMEAVE */
#endif /* ndef HRCUBE */

C--   Vertical shear terms (-w*du/dr & -w*dv/dr)
       IF ( .NOT. momImplVertAdv ) THEN
        CALL MOM_VI_U_VERTSHEAR(bi,bj,K,uVel,wVel,uCf,myThid)
        DO j=jMin,jMax
         DO i=iMin,iMax
          gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
         ENDDO
        ENDDO
        CALL MOM_VI_V_VERTSHEAR(bi,bj,K,vVel,wVel,vCf,myThid)
        DO j=jMin,jMax
         DO i=iMin,iMax
          gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
         ENDDO
        ENDDO
       ENDIF

C--   Bernoulli term
       CALL MOM_VI_U_GRAD_KE(bi,bj,K,KE,uCf,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
        ENDDO
       ENDDO
       CALL MOM_VI_V_GRAD_KE(bi,bj,K,KE,vCf,myThid)
       DO j=jMin,jMax
        DO i=iMin,iMax
         gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
        ENDDO
       ENDDO
       IF ( writeDiag ) THEN
        CALL WRITE_LOCAL_RL('KEx','I10',1,uCf,bi,bj,k,myIter,myThid)
        CALL WRITE_LOCAL_RL('KEy','I10',1,vCf,bi,bj,k,myIter,myThid)
       ENDIF

C--   end if momAdvection
      ENDIF

C--   Set du/dt & dv/dt on boundaries to zero
      DO j=jMin,jMax
       DO i=iMin,iMax
        gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj)
        gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj)
       ENDDO
      ENDDO


      IF ( writeDiag ) THEN
       CALL WRITE_LOCAL_RL('Ds','I10',1,strain,bi,bj,k,myIter,myThid)
       CALL WRITE_LOCAL_RL('Dt','I10',1,tension,bi,bj,k,myIter,myThid)
       CALL WRITE_LOCAL_RL('Du','I10',1,uDiss,bi,bj,k,myIter,myThid)
       CALL WRITE_LOCAL_RL('Dv','I10',1,vDiss,bi,bj,k,myIter,myThid)
       CALL WRITE_LOCAL_RL('Z3','I10',1,vort3,bi,bj,k,myIter,myThid)
c      CALL WRITE_LOCAL_RL('W3','I10',1,omega3,bi,bj,k,myIter,myThid)
       CALL WRITE_LOCAL_RL('KE','I10',1,KE,bi,bj,k,myIter,myThid)
       CALL WRITE_LOCAL_RL('D','I10',1,hdiv,bi,bj,k,myIter,myThid)
      ENDIF

#endif /* ALLOW_MOM_VECINV */

      RETURN
      END
1	C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vecinv.F,v 1.18 2004/05/24 20:03:49 adcroft Exp $
2	C $Name: $
3
4	#include "PACKAGES_CONFIG.h"
5	#include "CPP_OPTIONS.h"
6
7	SUBROUTINE MOM_VECINV(
8	I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown,
9	I dPhiHydX,dPhiHydY,KappaRU,KappaRV,
10	U fVerU, fVerV,
11	I myTime, myIter, myThid)
12	C /==========================================================\
13	C \| S/R MOM_VECINV \|
14	C \| o Form the right hand-side of the momentum equation. \|
15	C \|==========================================================\|
16	C \| Terms are evaluated one layer at a time working from \|
17	C \| the bottom to the top. The vertically integrated \|
18	C \| barotropic flow tendency term is evluated by summing the \|
19	C \| tendencies. \|
20	C \| Notes: \|
21	C \| We have not sorted out an entirely satisfactory formula \|
22	C \| for the diffusion equation bc with lopping. The present \|
23	C \| form produces a diffusive flux that does not scale with \|
24	C \| open-area. Need to do something to solidfy this and to \|
25	C \| deal "properly" with thin walls. \|
26	C \==========================================================/
27	IMPLICIT NONE
28
29	C == Global variables ==
30	#include "SIZE.h"
31	#include "DYNVARS.h"
32	#include "EEPARAMS.h"
33	#include "PARAMS.h"
34	#include "GRID.h"
35	#ifdef ALLOW_TIMEAVE
36	#include "TIMEAVE_STATV.h"
37	#endif
38
39	C == Routine arguments ==
40	C fVerU - Flux of momentum in the vertical
41	C fVerV direction out of the upper face of a cell K
42	C ( flux into the cell above ).
43	C dPhiHydX,Y :: Gradient (X & Y dir.) of Hydrostatic Potential
44	C bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation
45	C results will be set.
46	C kUp, kDown - Index for upper and lower layers.
47	C myThid - Instance number for this innvocation of CALC_MOM_RHS
48	_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
49	_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
50	_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
51	_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
52	_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
53	_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
54	INTEGER kUp,kDown
55	_RL myTime
56	INTEGER myIter
57	INTEGER myThid
58	INTEGER bi,bj,iMin,iMax,jMin,jMax
59
60	#ifdef ALLOW_MOM_VECINV
61
62	C == Functions ==
63	LOGICAL DIFFERENT_MULTIPLE
64	EXTERNAL DIFFERENT_MULTIPLE
65
66	C == Local variables ==
67	_RL aF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
68	_RL vF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
69	_RL vrF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
70	_RL uCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
71	_RL vCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
72	_RL mT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
73	_RL pF (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
74	_RL del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
75	_RL del2v(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
76	_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
77	_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
78	_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
79	_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
80	_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
81	_RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
82	_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
83	_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
84	_RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
85	_RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
86	_RL uDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
87	_RL vDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
88	C I,J,K - Loop counters
89	INTEGER i,j,k
90	C rVelMaskOverride - Factor for imposing special surface boundary conditions
91	C ( set according to free-surface condition ).
92	C hFacROpen - Lopped cell factos used tohold fraction of open
93	C hFacRClosed and closed cell wall.
94	_RL rVelMaskOverride
95	C xxxFac - On-off tracer parameters used for switching terms off.
96	_RL uDudxFac
97	_RL AhDudxFac
98	_RL A4DuxxdxFac
99	_RL vDudyFac
100	_RL AhDudyFac
101	_RL A4DuyydyFac
102	_RL rVelDudrFac
103	_RL ArDudrFac
104	_RL fuFac
105	_RL phxFac
106	_RL mtFacU
107	_RL uDvdxFac
108	_RL AhDvdxFac
109	_RL A4DvxxdxFac
110	_RL vDvdyFac
111	_RL AhDvdyFac
112	_RL A4DvyydyFac
113	_RL rVelDvdrFac
114	_RL ArDvdrFac
115	_RL fvFac
116	_RL phyFac
117	_RL vForcFac
118	_RL mtFacV
119	_RL wVelBottomOverride
120	LOGICAL bottomDragTerms
121	LOGICAL writeDiag
122	_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
123	_RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
124	_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
125	_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
126
127	#ifdef ALLOW_AUTODIFF_TAMC
128	C-- only the kDown part of fverU/V is set in this subroutine
129	C-- the kUp is still required
130	C-- In the case of mom_fluxform Kup is set as well
131	C-- (at least in part)
132	fVerU(1,1,kUp) = fVerU(1,1,kUp)
133	fVerV(1,1,kUp) = fVerV(1,1,kUp)
134	#endif
135
136	rVelMaskOverride=1.
137	IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac
138	wVelBottomOverride=1.
139	IF (k.EQ.Nr) wVelBottomOverride=0.
140	writeDiag = DIFFERENT_MULTIPLE(diagFreq, myTime,
141	& myTime-deltaTClock)
142
143	C Initialise intermediate terms
144	DO J=1-OLy,sNy+OLy
145	DO I=1-OLx,sNx+OLx
146	aF(i,j) = 0.
147	vF(i,j) = 0.
148	vrF(i,j) = 0.
149	uCf(i,j) = 0.
150	vCf(i,j) = 0.
151	mT(i,j) = 0.
152	pF(i,j) = 0.
153	del2u(i,j) = 0.
154	del2v(i,j) = 0.
155	dStar(i,j) = 0.
156	zStar(i,j) = 0.
157	uDiss(i,j) = 0.
158	vDiss(i,j) = 0.
159	vort3(i,j) = 0.
160	omega3(i,j) = 0.
161	ke(i,j) = 0.
162	#ifdef ALLOW_AUTODIFF_TAMC
163	strain(i,j) = 0. _d 0
164	tension(i,j) = 0. _d 0
165	#endif
166	ENDDO
167	ENDDO
168
169	C-- Term by term tracer parmeters
170	C o U momentum equation
171	uDudxFac = afFacMom*1.
172	AhDudxFac = vfFacMom*1.
173	A4DuxxdxFac = vfFacMom*1.
174	vDudyFac = afFacMom*1.
175	AhDudyFac = vfFacMom*1.
176	A4DuyydyFac = vfFacMom*1.
177	rVelDudrFac = afFacMom*1.
178	ArDudrFac = vfFacMom*1.
179	mTFacU = mtFacMom*1.
180	fuFac = cfFacMom*1.
181	phxFac = pfFacMom*1.
182	C o V momentum equation
183	uDvdxFac = afFacMom*1.
184	AhDvdxFac = vfFacMom*1.
185	A4DvxxdxFac = vfFacMom*1.
186	vDvdyFac = afFacMom*1.
187	AhDvdyFac = vfFacMom*1.
188	A4DvyydyFac = vfFacMom*1.
189	rVelDvdrFac = afFacMom*1.
190	ArDvdrFac = vfFacMom*1.
191	mTFacV = mtFacMom*1.
192	fvFac = cfFacMom*1.
193	phyFac = pfFacMom*1.
194	vForcFac = foFacMom*1.
195
196	IF ( no_slip_bottom
197	& .OR. bottomDragQuadratic.NE.0.
198	& .OR. bottomDragLinear.NE.0.) THEN
199	bottomDragTerms=.TRUE.
200	ELSE
201	bottomDragTerms=.FALSE.
202	ENDIF
203
204	C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP
205	IF (staggerTimeStep) THEN
206	phxFac = 0.
207	phyFac = 0.
208	ENDIF
209
210	C-- Calculate open water fraction at vorticity points
211	CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid)
212
213	C---- Calculate common quantities used in both U and V equations
214	C Calculate tracer cell face open areas
215	DO j=1-OLy,sNy+OLy
216	DO i=1-OLx,sNx+OLx
217	xA(i,j) = _dyG(i,j,bi,bj)
218	& drF(k)_hFacW(i,j,k,bi,bj)
219	yA(i,j) = _dxG(i,j,bi,bj)
220	& drF(k)_hFacS(i,j,k,bi,bj)
221	ENDDO
222	ENDDO
223
224	C Make local copies of horizontal flow field
225	DO j=1-OLy,sNy+OLy
226	DO i=1-OLx,sNx+OLx
227	uFld(i,j) = uVel(i,j,k,bi,bj)
228	vFld(i,j) = vVel(i,j,k,bi,bj)
229	ENDDO
230	ENDDO
231
232	C note (jmc) : Dissipation and Vort3 advection do not necesary
233	C use the same maskZ (and hFacZ) => needs 2 call(s)
234	c CALL MOM_VI_HFACZ_DISS(bi,bj,k,hFacZ,r_hFacZ,myThid)
235
236	CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid)
237
238	CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid)
239
240	CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid)
241
242	c CALL MOM_CALC_ABSVORT3(bi,bj,k,vort3,omega3,myThid)
243
244	IF (momViscosity) THEN
245	C Calculate del^2 u and del^2 v for bi-harmonic term
246	IF (viscA4.NE.0.
247	& .OR. viscA4Grid.NE.0.
248	& .OR. viscC4leith.NE.0.
249	& ) THEN
250	CALL MOM_VI_DEL2UV(bi,bj,k,hDiv,vort3,hFacZ,
251	O del2u,del2v,
252	& myThid)
253	CALL MOM_CALC_HDIV(bi,bj,k,2,del2u,del2v,dStar,myThid)
254	CALL MOM_CALC_RELVORT3(
255	& bi,bj,k,del2u,del2v,hFacZ,zStar,myThid)
256	ENDIF
257	C Calculate dissipation terms for U and V equations
258	C in terms of vorticity and divergence
259	IF (viscAh.NE.0. .OR. viscA4.NE.0.
260	& .OR. viscAhGrid.NE.0. .OR. viscA4Grid.NE.0.
261	& .OR. viscC2leith.NE.0. .OR. viscC4leith.NE.0.
262	& ) THEN
263	CALL MOM_VI_HDISSIP(bi,bj,k,hDiv,vort3,hFacZ,dStar,zStar,
264	O uDiss,vDiss,
265	& myThid)
266	ENDIF
267	C or in terms of tension and strain
268	IF (viscAstrain.NE.0. .OR. viscAtension.NE.0.) THEN
269	CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,
270	O tension,
271	I myThid)
272	CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,
273	O strain,
274	I myThid)
275	CALL MOM_HDISSIP(bi,bj,k,
276	I tension,strain,hFacZ,viscAtension,viscAstrain,
277	O uDiss,vDiss,
278	I myThid)
279	ENDIF
280	ENDIF
281
282	C- Return to standard hfacZ (min-4) and mask vort3 accordingly:
283	c CALL MOM_VI_MASK_VORT3(bi,bj,k,hFacZ,r_hFacZ,vort3,myThid)
284
285	C---- Zonal momentum equation starts here
286
287	C-- Vertical flux (fVer is at upper face of "u" cell)
288
289	C Eddy component of vertical flux (interior component only) -> vrF
290	IF (momViscosity.AND..NOT.implicitViscosity)
291	& CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid)
292
293	C Combine fluxes
294	DO j=jMin,jMax
295	DO i=iMin,iMax
296	fVerU(i,j,kDown) = ArDudrFac*vrF(i,j)
297	ENDDO
298	ENDDO
299
300	C-- Tendency is minus divergence of the fluxes + coriolis + pressure term
301	DO j=2-Oly,sNy+Oly-1
302	DO i=2-Olx,sNx+Olx-1
303	gU(i,j,k,bi,bj) = uDiss(i,j)
304	& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)
305	& *recip_rAw(i,j,bi,bj)
306	& *(
307	& +fVerU(i,j,kUp)rkFac - fVerU(i,j,kDown)rkFac
308	& )
309	& - phxFac*dPhiHydX(i,j)
310	ENDDO
311	ENDDO
312
313	C-- No-slip and drag BCs appear as body forces in cell abutting topography
314	IF (momViscosity.AND.no_slip_sides) THEN
315	C- No-slip BCs impose a drag at walls...
316	CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,del2u,hFacZ,vF,myThid)
317	DO j=jMin,jMax
318	DO i=iMin,iMax
319	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j)
320	ENDDO
321	ENDDO
322	ENDIF
323
324	C- No-slip BCs impose a drag at bottom
325	IF (momViscosity.AND.bottomDragTerms) THEN
326	CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid)
327	DO j=jMin,jMax
328	DO i=iMin,iMax
329	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j)
330	ENDDO
331	ENDDO
332	ENDIF
333
334	C-- Metric terms for curvilinear grid systems
335	c IF (usingSphericalPolarMTerms) THEN
336	C o Spherical polar grid metric terms
337	c CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid)
338	c DO j=jMin,jMax
339	c DO i=iMin,iMax
340	c gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j)
341	c ENDDO
342	c ENDDO
343	c ENDIF
344
345	C---- Meridional momentum equation starts here
346
347	C-- Vertical flux (fVer is at upper face of "v" cell)
348
349	C Eddy component of vertical flux (interior component only) -> vrF
350	IF (momViscosity.AND..NOT.implicitViscosity)
351	& CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid)
352
353	C Combine fluxes -> fVerV
354	DO j=jMin,jMax
355	DO i=iMin,iMax
356	fVerV(i,j,kDown) = ArDvdrFac*vrF(i,j)
357	ENDDO
358	ENDDO
359
360	C-- Tendency is minus divergence of the fluxes + coriolis + pressure term
361	DO j=jMin,jMax
362	DO i=iMin,iMax
363	gV(i,j,k,bi,bj) = vDiss(i,j)
364	& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)
365	& *recip_rAs(i,j,bi,bj)
366	& *(
367	& +fVerV(i,j,kUp)rkFac - fVerV(i,j,kDown)rkFac
368	& )
369	& - phyFac*dPhiHydY(i,j)
370	ENDDO
371	ENDDO
372
373	C-- No-slip and drag BCs appear as body forces in cell abutting topography
374	IF (momViscosity.AND.no_slip_sides) THEN
375	C- No-slip BCs impose a drag at walls...
376	CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,del2v,hFacZ,vF,myThid)
377	DO j=jMin,jMax
378	DO i=iMin,iMax
379	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j)
380	ENDDO
381	ENDDO
382	ENDIF
383	C- No-slip BCs impose a drag at bottom
384	IF (momViscosity.AND.bottomDragTerms) THEN
385	CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid)
386	DO j=jMin,jMax
387	DO i=iMin,iMax
388	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j)
389	ENDDO
390	ENDDO
391	ENDIF
392
393	C-- Metric terms for curvilinear grid systems
394	c IF (usingSphericalPolarMTerms) THEN
395	C o Spherical polar grid metric terms
396	c CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid)
397	c DO j=jMin,jMax
398	c DO i=iMin,iMax
399	c gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j)
400	c ENDDO
401	c ENDDO
402	c ENDIF
403
404	C-- Horizontal Coriolis terms
405	IF (useCoriolis .AND. .NOT.useCDscheme) THEN
406	CALL MOM_VI_CORIOLIS(bi,bj,k,uFld,vFld,omega3,hFacZ,r_hFacZ,
407	& uCf,vCf,myThid)
408	DO j=jMin,jMax
409	DO i=iMin,iMax
410	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
411	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
412	ENDDO
413	ENDDO
414	IF ( writeDiag ) THEN
415	CALL WRITE_LOCAL_RL('fV','I10',1,uCf,bi,bj,k,myIter,myThid)
416	CALL WRITE_LOCAL_RL('fU','I10',1,vCf,bi,bj,k,myIter,myThid)
417	ENDIF
418	ENDIF
419
420	IF (momAdvection) THEN
421	C-- Horizontal advection of relative vorticity
422	c CALL MOM_VI_U_CORIOLIS(bi,bj,K,vFld,omega3,r_hFacZ,uCf,myThid)
423	CALL MOM_VI_U_CORIOLIS(bi,bj,k,vFld,vort3,hFacZ,r_hFacZ,
424	& uCf,myThid)
425	c CALL MOM_VI_U_CORIOLIS_C4(bi,bj,K,vFld,vort3,r_hFacZ,uCf,myThid)
426	DO j=jMin,jMax
427	DO i=iMin,iMax
428	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
429	ENDDO
430	ENDDO
431	c CALL MOM_VI_V_CORIOLIS(bi,bj,K,uFld,omega3,r_hFacZ,vCf,myThid)
432	CALL MOM_VI_V_CORIOLIS(bi,bj,k,uFld,vort3,hFacZ,r_hFacZ,
433	& vCf,myThid)
434	c CALL MOM_VI_V_CORIOLIS_C4(bi,bj,K,uFld,vort3,r_hFacZ,vCf,myThid)
435	DO j=jMin,jMax
436	DO i=iMin,iMax
437	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
438	ENDDO
439	ENDDO
440
441	IF ( writeDiag ) THEN
442	CALL WRITE_LOCAL_RL('zV','I10',1,uCf,bi,bj,k,myIter,myThid)
443	CALL WRITE_LOCAL_RL('zU','I10',1,vCf,bi,bj,k,myIter,myThid)
444	ENDIF
445	#ifdef ALLOW_TIMEAVE
446	#ifndef HRCUBE
447	IF (taveFreq.GT.0.) THEN
448	CALL TIMEAVE_CUMUL_1K1T(uZetatave,vCf,deltaTClock,
449	& Nr, k, bi, bj, myThid)
450	CALL TIMEAVE_CUMUL_1K1T(vZetatave,uCf,deltaTClock,
451	& Nr, k, bi, bj, myThid)
452	ENDIF
453	#endif /* ALLOW_TIMEAVE */
454	#endif /* ndef HRCUBE */
455
456	C-- Vertical shear terms (-wdu/dr & -wdv/dr)
457	IF ( .NOT. momImplVertAdv ) THEN
458	CALL MOM_VI_U_VERTSHEAR(bi,bj,K,uVel,wVel,uCf,myThid)
459	DO j=jMin,jMax
460	DO i=iMin,iMax
461	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
462	ENDDO
463	ENDDO
464	CALL MOM_VI_V_VERTSHEAR(bi,bj,K,vVel,wVel,vCf,myThid)
465	DO j=jMin,jMax
466	DO i=iMin,iMax
467	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
468	ENDDO
469	ENDDO
470	ENDIF
471
472	C-- Bernoulli term
473	CALL MOM_VI_U_GRAD_KE(bi,bj,K,KE,uCf,myThid)
474	DO j=jMin,jMax
475	DO i=iMin,iMax
476	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j)
477	ENDDO
478	ENDDO
479	CALL MOM_VI_V_GRAD_KE(bi,bj,K,KE,vCf,myThid)
480	DO j=jMin,jMax
481	DO i=iMin,iMax
482	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j)
483	ENDDO
484	ENDDO
485	IF ( writeDiag ) THEN
486	CALL WRITE_LOCAL_RL('KEx','I10',1,uCf,bi,bj,k,myIter,myThid)
487	CALL WRITE_LOCAL_RL('KEy','I10',1,vCf,bi,bj,k,myIter,myThid)
488	ENDIF
489
490	C-- end if momAdvection
491	ENDIF
492
493	C-- Set du/dt & dv/dt on boundaries to zero
494	DO j=jMin,jMax
495	DO i=iMin,iMax
496	gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj)
497	gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj)
498	ENDDO
499	ENDDO
500
501
502	IF ( writeDiag ) THEN
503	CALL WRITE_LOCAL_RL('Ds','I10',1,strain,bi,bj,k,myIter,myThid)
504	CALL WRITE_LOCAL_RL('Dt','I10',1,tension,bi,bj,k,myIter,myThid)
505	CALL WRITE_LOCAL_RL('Du','I10',1,uDiss,bi,bj,k,myIter,myThid)
506	CALL WRITE_LOCAL_RL('Dv','I10',1,vDiss,bi,bj,k,myIter,myThid)
507	CALL WRITE_LOCAL_RL('Z3','I10',1,vort3,bi,bj,k,myIter,myThid)
508	c CALL WRITE_LOCAL_RL('W3','I10',1,omega3,bi,bj,k,myIter,myThid)
509	CALL WRITE_LOCAL_RL('KE','I10',1,KE,bi,bj,k,myIter,myThid)
510	CALL WRITE_LOCAL_RL('D','I10',1,hdiv,bi,bj,k,myIter,myThid)
511	ENDIF
512
513	#endif /* ALLOW_MOM_VECINV */
514
515	RETURN
516	END