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C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.34 2006/07/13 21:32:38 jmc Exp $ |
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C $Name: $ |
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|
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#include "CPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: CALC_GW |
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C !INTERFACE: |
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SUBROUTINE CALC_GW( |
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I bi, bj, KappaRU, KappaRV, |
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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 | S/R CALC_GW |
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C | o Calculate vertical velocity tendency terms |
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C | ( Non-Hydrostatic only ) |
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C *==========================================================* |
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C | In NH, the vertical momentum tendency must be |
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C | calculated explicitly and included as a source term |
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C | for a 3d pressure eqn. Calculate that term here. |
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C | This routine is not used in HYD calculations. |
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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 "GRID.h" |
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#include "SURFACE.h" |
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#include "DYNVARS.h" |
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#include "NH_VARS.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 bi,bj :: current tile indices |
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C KappaRU :: vertical viscosity at U points |
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C KappaRV :: vertical viscosity at V points |
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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 :: Thread number for this instance of the routine. |
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INTEGER bi,bj |
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_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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|
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#ifdef ALLOW_NONHYDROSTATIC |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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C iMin,iMax |
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C jMin,jMax |
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C xA :: W-Cell face area normal to X |
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C yA :: W-Cell face area normal to Y |
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C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
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C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
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C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
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C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
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C flx_NS :: vertical momentum flux, meridional direction |
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C flx_EW :: vertical momentum flux, zonal direction |
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C flxAdvUp :: vertical mom. advective flux, vertical direction (@ level k-1) |
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C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
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C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
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C gwDiss :: vertical momentum dissipation tendency |
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C i,j,k :: Loop counters |
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INTEGER iMin,iMax,jMin,jMax |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rThickC_C (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flxAdvUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flxDisUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER i,j,k, kp1 |
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_RL wOverride |
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_RL tmp_WbarZ |
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_RL uTrans, vTrans, rTrans |
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_RL viscLoc |
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_RL halfRL |
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_RS halfRS, zeroRS |
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PARAMETER( halfRL = 0.5D0 ) |
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PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
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CEOP |
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|
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C Catch barotropic mode |
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IF ( Nr .LT. 2 ) RETURN |
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|
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iMin = 1 |
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iMax = sNx |
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jMin = 1 |
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jMax = sNy |
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|
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C-- Initialise gW to zero |
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DO k=1,Nr |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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gW(i,j,k,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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ENDDO |
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C- Initialise gwDiss to zero |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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gwDiss(i,j) = 0. |
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ENDDO |
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ENDDO |
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|
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C-- Boundaries condition at top |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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flxAdvUp(i,j) = 0. |
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flxDisUp(i,j) = 0. |
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ENDDO |
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ENDDO |
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|
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C--- Sweep down column |
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DO k=2,Nr |
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kp1=k+1 |
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wOverRide=1. |
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IF (k.EQ.Nr) THEN |
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kp1=Nr |
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wOverRide=0. |
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ENDIF |
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C-- Compute grid factor arround a W-point: |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
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IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
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recip_rThickC(i,j) = 0. |
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ELSE |
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recip_rThickC(i,j) = 1. _d 0 / |
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& ( drF(k-1)*halfRS |
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& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
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& ) |
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ENDIF |
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c IF (momViscosity) THEN |
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#ifdef NONLIN_FRSURF |
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rThickC_C(i,j) = |
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& drF(k-1)*MAX( h0FacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
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& + drF( k )*MIN( h0FacC(i,j,k ,bi,bj), halfRS ) |
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#else |
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rThickC_C(i,j) = |
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& drF(k-1)*MAX( _hFacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
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& + drF( k )*MIN( _hFacC(i,j,k ,bi,bj), halfRS ) |
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#endif |
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rThickC_W(i,j) = |
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& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
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& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
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rThickC_S(i,j) = |
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& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
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& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
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C W-Cell Western face area: |
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xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
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c & *deepFacF(k) |
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C W-Cell Southern face area: |
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yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
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c & *deepFacF(k) |
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
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c ENDIF |
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ENDDO |
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ENDDO |
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|
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C-- horizontal bi-harmonic dissipation |
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IF (momViscosity .AND. viscA4W.NE.0. ) THEN |
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C- calculate the horizontal Laplacian of vertical flow |
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C Zonal flux d/dx W |
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DO j=1-Oly,sNy+Oly |
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flx_EW(1-Olx,j)=0. |
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DO i=1-Olx+1,sNx+Olx |
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flx_EW(i,j) = |
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& (wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
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& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
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#ifdef COSINEMETH_III |
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& *sqCosFacU(j,bi,bj) |
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#endif |
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ENDDO |
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ENDDO |
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C Meridional flux d/dy W |
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DO i=1-Olx,sNx+Olx |
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flx_NS(i,1-Oly)=0. |
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ENDDO |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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flx_NS(i,j) = |
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& (wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
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& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
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#ifdef ISOTROPIC_COS_SCALING |
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#ifdef COSINEMETH_III |
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& *sqCosFacV(j,bi,bj) |
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#endif |
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#endif |
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ENDDO |
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ENDDO |
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|
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C del^2 W |
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C Difference of zonal fluxes ... |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx-1 |
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del2w(i,j)=flx_EW(i+1,j)-flx_EW(i,j) |
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ENDDO |
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del2w(sNx+Olx,j)=0. |
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ENDDO |
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|
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C ... add difference of meridional fluxes and divide by volume |
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DO j=1-Oly,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx |
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del2w(i,j) = ( del2w(i,j) |
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& +(flx_NS(i,j+1)-flx_NS(i,j)) |
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& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
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& *recip_deepFac2F(k) |
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ENDDO |
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ENDDO |
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C-- No-slip BCs impose a drag at walls... |
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CML ************************************************************ |
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CML No-slip Boundary conditions for bi-harmonic dissipation |
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CML need to be implemented here! |
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CML ************************************************************ |
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ELSE |
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C- Initialize del2w to zero: |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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del2w(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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IF (momViscosity) THEN |
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C Viscous Flux on Western face |
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DO j=jMin,jMax |
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DO i=iMin,iMax+1 |
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flx_EW(i,j)= |
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& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
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& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
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& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
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cOld & *_recip_dxC(i,j,bi,bj)*rThickC_W(i,j) |
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& *cosFacU(j,bi,bj) |
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& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
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& *(del2w(i,j)-del2w(i-1,j)) |
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& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
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cOld & *_recip_dxC(i,j,bi,bj)*drC(k) |
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#ifdef COSINEMETH_III |
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& *sqCosFacU(j,bi,bj) |
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#else |
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& *cosFacU(j,bi,bj) |
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#endif |
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ENDDO |
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ENDDO |
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C Viscous Flux on Southern face |
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DO j=jMin,jMax+1 |
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DO i=iMin,iMax |
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flx_NS(i,j)= |
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& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
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& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
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& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
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cOld & *_recip_dyC(i,j,bi,bj)*rThickC_S(i,j) |
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#ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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#endif |
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& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
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& *(del2w(i,j)-del2w(i,j-1)) |
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& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
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cOld & *_recip_dyC(i,j,bi,bj)*drC(k) |
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#ifdef ISOTROPIC_COS_SCALING |
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#ifdef COSINEMETH_III |
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& *sqCosFacV(j,bi,bj) |
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#else |
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& *cosFacV(j,bi,bj) |
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#endif |
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#endif |
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ENDDO |
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ENDDO |
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C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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C Interpolate vert viscosity to center of tracer-cell (level k): |
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viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
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& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
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& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
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& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
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& )*0.125 _d 0 |
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flx_Dn(i,j) = |
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& - viscLoc*( wVel(i,j,kp1,bi,bj)*wOverRide |
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& -wVel(i,j, k ,bi,bj) )*rkSign |
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& *recip_drF(k)*rA(i,j,bi,bj) |
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& *deepFac2C(k)*rhoFacC(k) |
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cOld & *recip_drF(k) |
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ENDDO |
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ENDDO |
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C Tendency is minus divergence of viscous fluxes: |
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C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gwDiss(i,j) = |
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& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
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& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
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& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
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& *recip_rhoFacF(k) |
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& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
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& *recip_deepFac2F(k) |
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cOld gwDiss(i,j) = |
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cOld & -( |
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cOld & +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 315 |
cOld & +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 316 |
cOld & + ( flxDisUp(i,j)-flx_Dn(i,j) ) |
| 317 |
c & )*recip_rThickC(i,j) |
| 318 |
cOld & )*recip_drC(k) |
| 319 |
C-- prepare for next level (k+1) |
| 320 |
flxDisUp(i,j)=flx_Dn(i,j) |
| 321 |
ENDDO |
| 322 |
ENDDO |
| 323 |
ENDIF |
| 324 |
|
| 325 |
IF (no_slip_sides) THEN |
| 326 |
C- No-slip BCs impose a drag at walls... |
| 327 |
CALL MOM_W_SIDEDRAG( |
| 328 |
I bi,bj,k, |
| 329 |
I wVel, del2w, |
| 330 |
I rThickC_C, recip_rThickC, |
| 331 |
I viscAh_W, viscA4_W, |
| 332 |
O gwAdd, |
| 333 |
I myThid ) |
| 334 |
DO j=jMin,jMax |
| 335 |
DO i=iMin,iMax |
| 336 |
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
| 337 |
ENDDO |
| 338 |
ENDDO |
| 339 |
ENDIF |
| 340 |
|
| 341 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 342 |
|
| 343 |
IF ( momAdvection ) THEN |
| 344 |
C Advective Flux on Western face |
| 345 |
DO j=jMin,jMax |
| 346 |
DO i=iMin,iMax+1 |
| 347 |
C transport through Western face area: |
| 348 |
uTrans = ( |
| 349 |
& drF(k-1)*_hFacW(i,j,k-1,bi,bj)*uVel(i,j,k-1,bi,bj) |
| 350 |
& *rhoFacC(k-1) |
| 351 |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
| 352 |
& *rhoFacC(k) |
| 353 |
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
| 354 |
cOld & )*halfRL |
| 355 |
flx_EW(i,j)= |
| 356 |
& uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
| 357 |
ENDDO |
| 358 |
ENDDO |
| 359 |
C Advective Flux on Southern face |
| 360 |
DO j=jMin,jMax+1 |
| 361 |
DO i=iMin,iMax |
| 362 |
C transport through Southern face area: |
| 363 |
vTrans = ( |
| 364 |
& drF(k-1)*_hFacS(i,j,k-1,bi,bj)*vVel(i,j,k-1,bi,bj) |
| 365 |
& *rhoFacC(k-1) |
| 366 |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
| 367 |
& *rhoFacC(k) |
| 368 |
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
| 369 |
cOld & )*halfRL |
| 370 |
flx_NS(i,j)= |
| 371 |
& vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
| 372 |
ENDDO |
| 373 |
ENDDO |
| 374 |
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 375 |
DO j=jMin,jMax |
| 376 |
DO i=iMin,iMax |
| 377 |
tmp_WbarZ = halfRL*( wVel(i,j, k ,bi,bj) |
| 378 |
& +wVel(i,j,kp1,bi,bj)*wOverRide ) |
| 379 |
C transport through Lower face area: |
| 380 |
rTrans = halfRL* |
| 381 |
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
| 382 |
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
| 383 |
& *wOverRide |
| 384 |
& )*rA(i,j,bi,bj) |
| 385 |
flx_Dn(i,j) = rTrans*tmp_WbarZ |
| 386 |
cOld flx_Dn(i,j) = tmp_WbarZ*tmp_WbarZ |
| 387 |
ENDDO |
| 388 |
ENDDO |
| 389 |
C Tendency is minus divergence of advective fluxes: |
| 390 |
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
| 391 |
DO j=jMin,jMax |
| 392 |
DO i=iMin,iMax |
| 393 |
gW(i,j,k,bi,bj) = |
| 394 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 395 |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 396 |
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign |
| 397 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 398 |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
| 399 |
cOld gW(i,j,k,bi,bj) = |
| 400 |
cOld & -( |
| 401 |
cOld & +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 402 |
cOld & +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 403 |
cOld & + ( flxAdvUp(i,j)-flx_Dn(i,j) ) |
| 404 |
c & )*recip_rThickC(i,j) |
| 405 |
cOld & )*recip_drC(k) |
| 406 |
C-- prepare for next level (k+1) |
| 407 |
flxAdvUp(i,j)=flx_Dn(i,j) |
| 408 |
ENDDO |
| 409 |
ENDDO |
| 410 |
ENDIF |
| 411 |
|
| 412 |
IF ( useNHMTerms ) THEN |
| 413 |
CALL MOM_W_METRIC_NH( |
| 414 |
I bi,bj,k, |
| 415 |
I uVel, vVel, |
| 416 |
O gwAdd, |
| 417 |
I myThid ) |
| 418 |
DO j=jMin,jMax |
| 419 |
DO i=iMin,iMax |
| 420 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 421 |
ENDDO |
| 422 |
ENDDO |
| 423 |
ENDIF |
| 424 |
IF ( use3dCoriolis ) THEN |
| 425 |
CALL MOM_W_CORIOLIS_NH( |
| 426 |
I bi,bj,k, |
| 427 |
I uVel, vVel, |
| 428 |
O gwAdd, |
| 429 |
I myThid ) |
| 430 |
DO j=jMin,jMax |
| 431 |
DO i=iMin,iMax |
| 432 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 433 |
ENDDO |
| 434 |
ENDDO |
| 435 |
ENDIF |
| 436 |
|
| 437 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 438 |
|
| 439 |
C-- Dissipation term inside the Adams-Bashforth: |
| 440 |
IF ( momViscosity .AND. momDissip_In_AB) THEN |
| 441 |
DO j=jMin,jMax |
| 442 |
DO i=iMin,iMax |
| 443 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 444 |
ENDDO |
| 445 |
ENDDO |
| 446 |
ENDIF |
| 447 |
|
| 448 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
| 449 |
C and save gW_[n] into gwNm1 for the next time step. |
| 450 |
c#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 451 |
c CALL ADAMS_BASHFORTH3( |
| 452 |
c I bi, bj, k, |
| 453 |
c U gW, gwNm, |
| 454 |
c I momStartAB, myIter, myThid ) |
| 455 |
c#else /* ALLOW_ADAMSBASHFORTH_3 */ |
| 456 |
CALL ADAMS_BASHFORTH2( |
| 457 |
I bi, bj, k, |
| 458 |
U gW, gwNm1, |
| 459 |
I myIter, myThid ) |
| 460 |
c#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
| 461 |
|
| 462 |
C-- Dissipation term outside the Adams-Bashforth: |
| 463 |
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
| 464 |
DO j=jMin,jMax |
| 465 |
DO i=iMin,iMax |
| 466 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 467 |
ENDDO |
| 468 |
ENDDO |
| 469 |
ENDIF |
| 470 |
|
| 471 |
C- end of the k loop |
| 472 |
ENDDO |
| 473 |
|
| 474 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 475 |
|
| 476 |
RETURN |
| 477 |
END |
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