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C $Header: /u/gcmpack/MITgcm/model/src/integr_continuity.F,v 1.28 2011/12/22 19:00:58 jmc Exp $ |
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C $Name: $ |
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|
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: INTEGR_CONTINUITY |
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C !INTERFACE: |
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SUBROUTINE INTEGR_CONTINUITY( |
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I uFld, vFld, |
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I myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE INTEGR_CONTINUITY |
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C | o Integrate the continuity Eq : compute vertical velocity |
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C | and free surface "r-anomaly" (etaN,etaH) to satisfy |
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C | exactly the conservation of the Total Volume |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C == Global variables |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "DYNVARS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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#include "FFIELDS.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C uFld :: Zonal velocity ( m/s ) |
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C vFld :: Meridional velocity ( m/s ) |
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C myTime :: Current time in simulation |
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C myIter :: Current iteration number in simulation |
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C myThid :: my Thread Id. number |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL depth, depth_fac |
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|
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C !LOCAL VARIABLES: |
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C Local variables in common block |
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|
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C Local variables |
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C bi,bj :: tile index |
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C i,j,k :: Loop counters |
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C uTrans :: Volume transports ( uVel.xA ) |
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C vTrans :: Volume transports ( vVel.yA ) |
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C hDivFlow :: Div. Barotropic Flow [transport unit m3/s] |
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INTEGER k,bi,bj |
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#ifdef EXACT_CONSERV |
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INTEGER i, j |
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INTEGER ks |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL hDivFlow(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL facEmP, facMass |
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#else /* EXACT_CONSERV */ |
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# ifdef ALLOW_OBCS |
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INTEGER i, j |
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# endif |
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#endif /* EXACT_CONSERV */ |
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#ifndef ALLOW_ADDFLUID |
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_RL addMass(1) |
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#endif /* ndef ALLOW_ADDFLUID */ |
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#if (defined NONLIN_FRSURF) && !(defined DISABLE_RSTAR_CODE) |
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_RL rStarDhDt(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#else |
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_RL rStarDhDt(1) |
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#endif |
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CEOP |
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|
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C-- Start bi,bj loops |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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#ifdef EXACT_CONSERV |
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IF (exactConserv) THEN |
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|
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facEmP = 0. |
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IF ( fluidIsWater.AND.useRealFreshWaterFlux ) facEmP=mass2rUnit |
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facMass = 0. |
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IF ( selectAddFluid.GE.1 ) facMass = mass2rUnit |
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|
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C-- Compute the Divergence of The Barotropic Flow : |
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|
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C- Initialise |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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hDivFlow(i,j) = 0. _d 0 |
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utrans(i,j) = 0. _d 0 |
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vtrans(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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DO k=1,Nr |
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|
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C- Calculate velocity field "volume transports" through tracer cell faces |
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C anelastic: uTrans,vTrans are scaled by rhoFacC (~ mass transport). |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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|
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uTrans(i,j) = uFld(i,j,k,bi,bj)*_dyG(i,j,bi,bj) |
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& *deepFacC(k)*rhoFacC(k) |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
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|
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vTrans(i,j) = vFld(i,j,k,bi,bj)*_dxG(i,j,bi,bj) |
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& *deepFacC(k)*rhoFacC(k) |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
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|
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ENDDO |
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ENDDO |
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|
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C- Integrate vertically the Horizontal Divergence |
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DO j=1,sNy |
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DO i=1,sNx |
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hDivFlow(i,j) = hDivFlow(i,j) |
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& +maskC(i,j,k,bi,bj)*( uTrans(i+1,j)-uTrans(i,j) |
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& +vTrans(i,j+1)-vTrans(i,j) ) |
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#ifdef ALLOW_ADDFLUID |
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& -facMass*addMass(i,j,k,bi,bj) |
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#endif /* ALLOW_ADDFLUID */ |
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ENDDO |
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ENDDO |
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|
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C- End DO k=1,Nr |
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ENDDO |
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|
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|
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|
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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DO j=1,sNy |
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DO i=1,sNx |
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hDivFlow(i,j) = hDivFlow(i,j) |
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& +maskinC(i,j,bi,bj)*_dyG(i,j,bi,bj)* |
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& (pReleaseTransX(i+1,j,bi,bj)-pReleaseTransX(i,j,bi,bj)) |
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hDivFlow(i,j) = hDivFlow(i,j) |
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& +maskinC(i,j,bi,bj)*_dxG(i,j,bi,bj)* |
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& (pReleaseTransY(i,j+1,bi,bj)-pReleaseTransY(i,j,bi,bj)) |
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ENDDO |
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ENDDO |
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#endif |
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|
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|
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C------------------------------------ |
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C note: deep-model not implemented for P-coordinate + realFreshWaterFlux ; |
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C anelastic: always assumes that rhoFacF(1) = 1 |
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IF ( myIter.EQ.nIter0 .AND. myIter.NE.0 |
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& .AND. fluidIsWater .AND. useRealFreshWaterFlux ) THEN |
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|
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C needs previous time-step value of E-P-R, that has not been loaded |
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C and was not in old pickup-file ; try to use etaN & etaH instead. |
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IF ( usePickupBeforeC54 ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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dEtaHdt(i,j,bi,bj) = (etaN(i,j,bi,bj)-etaH(i,j,bi,bj)) |
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& / (implicDiv2Dflow*deltaTfreesurf) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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DO j=1,sNy |
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DO i=1,sNx |
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PmEpR(i,j,bi,bj) = dEtaHdt(i,j,bi,bj) |
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& + hDivFlow(i,j)*recip_rA(i,j,bi,bj) |
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& *recip_deepFac2F(1) |
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PmEpR(i,j,bi,bj) = PmEpR(i,j,bi,bj)*rUnit2mass |
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ENDDO |
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ENDDO |
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ELSEIF ( myIter.EQ.nIter0 ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(I,J,bi,bj) |
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PmEpR(i,j,bi,bj) = 0. _d 0 |
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dEtaHdt(i,j,bi,bj) = -hDivFlow(i,j)*recip_rA(i,j,bi,bj) |
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& *recip_deepFac2F(ks) |
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ENDDO |
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ENDDO |
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ELSE |
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C-- Needs to get valid PmEpR (for T,S forcing) also in overlap regions |
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C (e.g., if using KPP) => set over full index range |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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PmEpR(i,j,bi,bj) = -EmPmR(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(i,j,bi,bj) |
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dEtaHdt(i,j,bi,bj) = -hDivFlow(i,j)*recip_rA(i,j,bi,bj) |
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& *recip_deepFac2F(ks) |
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& -facEmP*EmPmR(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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C------------------------------------ |
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|
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#ifdef ALLOW_OBCS |
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C-- reset dEtaHdt to zero outside the OB interior region |
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IF ( useOBCS ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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dEtaHdt(i,j,bi,bj) = dEtaHdt(i,j,bi,bj)*maskInC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ALLOW_OBCS */ |
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|
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C-- end if exactConserv block |
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ENDIF |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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IF ( exactConserv .AND. myIter.NE.nIter0 ) THEN |
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C-- Update etaN at the end of the time step : |
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C Incorporate the Implicit part of -Divergence(Barotropic_Flow) |
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|
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IF (implicDiv2Dflow.EQ. 0. _d 0) THEN |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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etaN(i,j,bi,bj) = etaH(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1,sNy |
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DO i=1,sNx |
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etaN(i,j,bi,bj) = etaH(i,j,bi,bj) |
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& + implicDiv2Dflow*dEtaHdt(i,j,bi,bj)*deltaTfreesurf |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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#ifdef ALLOW_OBCS |
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C-- Was added on Dec 30, 2004 (to fix unrealistic etaN ?), but no longer |
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C needed with proper masking in solver (matrix+cg2d_b,x) and masking |
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C of dEtaHdt above. etaN next to OB does not enter present algorithm but |
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C leave it commented out in case we would implement an aternative scheme. |
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c IF ( useOBCS ) CALL OBCS_APPLY_ETA( bi, bj, etaN, myThid ) |
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#endif /* ALLOW_OBCS */ |
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|
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C-- end if exactConserv and not myIter=nIter0 block |
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ENDIF |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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# ifdef NONLIN_FRSURF |
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IF (select_rStar .NE. 0) THEN |
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# ifndef DISABLE_RSTAR_CODE |
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C-- note: rStarDhDt is similar to rStarDhCDt from S/R CALC_R_STAR |
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C except for deep-factor and rho factor. |
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DO j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(i,j,bi,bj) |
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rStarDhDt(i,j) = dEtaHdt(i,j,bi,bj) |
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& *deepFac2F(ks)*rhoFacF(ks) |
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& *recip_Rcol(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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# endif /* DISABLE_RSTAR_CODE */ |
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ENDIF |
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# endif /* NONLIN_FRSURF */ |
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|
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#endif /* EXACT_CONSERV */ |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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DO k=Nr,1,-1 |
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C-- Integrate continuity vertically for vertical velocity |
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|
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CALL INTEGRATE_FOR_W( |
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I bi, bj, k, uFld, vFld, |
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I addMass, rStarDhDt, |
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O wVel, |
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I myThid ) |
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|
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#ifdef EXACT_CONSERV |
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IF ( k.EQ.Nr .AND. myIter.NE.0 .AND. usingPCoords |
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& .AND. fluidIsWater .AND. useRealFreshWaterFlux ) THEN |
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|
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DO j=1,sNy |
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DO i=1,sNx |
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wVel(i,j,k,bi,bj) = wVel(i,j,k,bi,bj) |
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& +mass2rUnit*PmEpR(i,j,bi,bj)*maskC(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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ENDIF |
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#endif /* EXACT_CONSERV */ |
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|
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#ifdef ALLOW_OBCS |
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C-- reset W to zero outside the OB interior region |
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IF ( useOBCS ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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wVel(i,j,k,bi,bj) = wVel(i,j,k,bi,bj)*maskInC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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C-- Apply OBC to W (non-hydrostatic): |
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IF ( useOBCS.AND.nonHydrostatic ) |
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& CALL OBCS_APPLY_W( bi, bj, k, wVel, myThid ) |
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#endif /* ALLOW_OBCS */ |
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|
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C- End DO k=Nr,1,-1 |
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ENDDO |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C-- End bi,bj loops |
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ENDDO |
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ENDDO |
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|
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IF ( exactConserv .AND. myIter.NE.nIter0 |
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& .AND. implicDiv2Dflow .NE. 0. _d 0 ) |
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& _EXCH_XY_RL( etaN , myThid ) |
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IF ( implicitIntGravWave .OR. myIter.EQ.nIter0 ) |
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& _EXCH_XYZ_RL( wVel , myThid ) |
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|
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#ifdef EXACT_CONSERV |
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C-- Update etaH (from etaN and dEtaHdt): |
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IF (exactConserv) THEN |
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c IF ( useRealFreshWaterFlux .AND. myIter.EQ.nIter0 ) |
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c & _EXCH_XY_RL( PmEpR, myThid ) |
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#ifdef ALLOW_DEBUG |
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IF (debugMode) CALL DEBUG_CALL('UPDATE_ETAH',myThid) |
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#endif |
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CALL UPDATE_ETAH( myTime, myIter, myThid ) |
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ENDIF |
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|
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#ifdef NONLIN_FRSURF |
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# ifndef DISABLE_SIGMA_CODE |
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IF ( nonlinFreeSurf.GT.0 .AND. selectSigmaCoord.NE.0 ) THEN |
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CALL EXCH_XY_RL( dEtaHdt, myThid ) |
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CALL UPDATE_ETAWS( myTime, myIter, myThid ) |
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ENDIF |
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# endif /* DISABLE_SIGMA_CODE */ |
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#endif /* NONLIN_FRSURF */ |
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|
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#endif /* EXACT_CONSERV */ |
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|
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RETURN |
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END |
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