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C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.42 2009/12/11 13:53:07 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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#define CALC_GW_NEW_THICK |
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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 "RESTART.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 gwAdd :: other tendencies (Coriolis, Metric-terms) |
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C del2w :: laplacian of wVel |
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C wFld :: local copy of wVel |
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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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_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER i,j,k, km1, kp1 |
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_RL mskM1, mskP1 |
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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 = 0.5 _d 0 ) |
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PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
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PARAMETER( iMin = 1 , iMax = sNx ) |
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PARAMETER( jMin = 1 , jMax = sNy ) |
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CEOP |
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#ifdef ALLOW_DIAGNOSTICS |
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LOGICAL diagDiss, diagAdvec |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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#endif /* ALLOW_DIAGNOSTICS */ |
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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 ALLOW_DIAGNOSTICS |
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IF ( useDiagnostics ) THEN |
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diagDiss = DIAGNOSTICS_IS_ON( 'Wm_Diss ', myThid ) |
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diagAdvec = DIAGNOSTICS_IS_ON( 'Wm_Advec', myThid ) |
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ELSE |
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diagDiss = .FALSE. |
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diagAdvec = .FALSE. |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS */ |
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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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IF (momViscosity) THEN |
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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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C-- Boundaries condition at top (vertical advection of vertical momentum): |
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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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c flxDisUp(i,j) = 0. |
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ENDDO |
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ENDDO |
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|
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|
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C--- Sweep down column |
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DO k=1,Nr |
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km1 = MAX( k-1, 1 ) |
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kp1 = MIN( k+1,Nr ) |
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mskM1 = 1. |
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mskP1 = 1. |
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IF ( k.EQ. 1 ) mskM1 = 0. |
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IF ( k.EQ.Nr ) mskP1 = 0. |
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IF ( k.GT.1 ) THEN |
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C-- Compute grid factor arround a W-point: |
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#ifdef CALC_GW_NEW_THICK |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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IF ( maskC(i,j,k-1,bi,bj).EQ.0. .OR. |
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& 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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C- valid in z & p coord.; also accurate if Interface @ middle between 2 centers |
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recip_rThickC(i,j) = 1. _d 0 / |
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& ( MIN( Ro_surf(i,j,bi,bj),rC(k-1) ) |
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& - MAX( R_low(i,j,bi,bj), rC(k) ) |
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& ) |
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ENDIF |
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ENDDO |
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ENDDO |
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IF (momViscosity) 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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rThickC_C(i,j) = MAX( zeroRS, |
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& MIN( Ro_surf(i,j,bi,bj), rC(k-1) ) |
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& -MAX( R_low(i,j,bi,bj), rC(k) ) |
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& ) |
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ENDDO |
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ENDDO |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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rThickC_W(i,j) = MAX( zeroRS, |
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& MIN( rSurfW(i,j,bi,bj), rC(k-1) ) |
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& -MAX( rLowW(i,j,bi,bj), rC(k) ) |
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& ) |
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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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ENDDO |
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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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rThickC_S(i,j) = MAX( zeroRS, |
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& MIN( rSurfS(i,j,bi,bj), rC(k-1) ) |
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& -MAX( rLowS(i,j,bi,bj), rC(k) ) |
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& ) |
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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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ENDDO |
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ENDDO |
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ENDIF |
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#else /* CALC_GW_NEW_THICK */ |
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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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#endif /* CALC_GW_NEW_THICK */ |
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ELSEIF ( selectNHfreeSurf.GE.1 ) 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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recip_rThickC(i,j) = recip_drC(k) |
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c rThickC_C(i,j) = drC(k) |
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c rThickC_W(i,j) = drC(k) |
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c rThickC_S(i,j) = drC(k) |
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c xA(i,j) = _dyG(i,j,bi,bj)*drC(k) |
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c yA(i,j) = _dxG(i,j,bi,bj)*drC(k) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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C-- local copy of wVel: |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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wFld(i,j) = wVel(i,j,k,bi,bj) |
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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. k.GT.1 .AND. viscA4W.NE.0. ) THEN |
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|
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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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IF ( useCubedSphereExchange ) THEN |
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C to compute d/dx(W), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
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& wFld, bi,bj, myThid ) |
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ENDIF |
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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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& ( wFld(i,j) - wFld(i-1,j) ) |
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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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|
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C Meridional flux d/dy W |
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IF ( useCubedSphereExchange ) THEN |
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C to compute d/dy(W), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
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& wFld, bi,bj, myThid ) |
| 300 |
ENDIF |
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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 |
| 305 |
DO i=1-Olx,sNx+Olx |
| 306 |
flx_NS(i,j) = |
| 307 |
& ( wFld(i,j) - wFld(i,j-1) ) |
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& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 309 |
#ifdef ISOTROPIC_COS_SCALING |
| 310 |
#ifdef COSINEMETH_III |
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& *sqCosFacV(j,bi,bj) |
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#endif |
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#endif |
| 314 |
ENDDO |
| 315 |
ENDDO |
| 316 |
|
| 317 |
C del^2 W |
| 318 |
C Divergence of horizontal fluxes |
| 319 |
DO j=1-Oly,sNy+Oly-1 |
| 320 |
DO i=1-Olx,sNx+Olx-1 |
| 321 |
del2w(i,j) = ( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 322 |
& +( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 323 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 324 |
& *recip_deepFac2F(k) |
| 325 |
ENDDO |
| 326 |
ENDDO |
| 327 |
C end if biharmonic viscosity |
| 328 |
ENDIF |
| 329 |
|
| 330 |
IF ( momViscosity .AND. k.GT.1 ) THEN |
| 331 |
C Viscous Flux on Western face |
| 332 |
DO j=jMin,jMax |
| 333 |
DO i=iMin,iMax+1 |
| 334 |
flx_EW(i,j)= |
| 335 |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
| 336 |
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
| 337 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 338 |
& *cosFacU(j,bi,bj) |
| 339 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
| 340 |
& *(del2w(i,j)-del2w(i-1,j)) |
| 341 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 342 |
#ifdef COSINEMETH_III |
| 343 |
& *sqCosFacU(j,bi,bj) |
| 344 |
#else |
| 345 |
& *cosFacU(j,bi,bj) |
| 346 |
#endif |
| 347 |
ENDDO |
| 348 |
ENDDO |
| 349 |
C Viscous Flux on Southern face |
| 350 |
DO j=jMin,jMax+1 |
| 351 |
DO i=iMin,iMax |
| 352 |
flx_NS(i,j)= |
| 353 |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
| 354 |
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
| 355 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 356 |
#ifdef ISOTROPIC_COS_SCALING |
| 357 |
& *cosFacV(j,bi,bj) |
| 358 |
#endif |
| 359 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
| 360 |
& *(del2w(i,j)-del2w(i,j-1)) |
| 361 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 362 |
#ifdef ISOTROPIC_COS_SCALING |
| 363 |
#ifdef COSINEMETH_III |
| 364 |
& *sqCosFacV(j,bi,bj) |
| 365 |
#else |
| 366 |
& *cosFacV(j,bi,bj) |
| 367 |
#endif |
| 368 |
#endif |
| 369 |
ENDDO |
| 370 |
ENDDO |
| 371 |
C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 372 |
DO j=jMin,jMax |
| 373 |
DO i=iMin,iMax |
| 374 |
C Interpolate vert viscosity to center of tracer-cell (level k): |
| 375 |
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
| 376 |
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
| 377 |
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
| 378 |
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
| 379 |
& )*0.125 _d 0 |
| 380 |
flx_Dn(i,j) = |
| 381 |
& - viscLoc*( wVel(i,j,kp1,bi,bj)*mskP1 |
| 382 |
& -wVel(i,j, k ,bi,bj) )*rkSign |
| 383 |
& *recip_drF(k)*rA(i,j,bi,bj) |
| 384 |
& *deepFac2C(k)*rhoFacC(k) |
| 385 |
ENDDO |
| 386 |
ENDDO |
| 387 |
IF ( k.EQ.2 ) THEN |
| 388 |
C Viscous Flux on Upper face of W-Cell (= at tracer-cell center, level k-1) |
| 389 |
DO j=jMin,jMax |
| 390 |
DO i=iMin,iMax |
| 391 |
C Interpolate horizontally (but not vertically) vert viscosity to center: |
| 392 |
C Although background visc. might be defined at k=1, this is not |
| 393 |
C generally true when using variable visc. (from vertical mixing scheme). |
| 394 |
C Therefore, no vert. interp. and only horizontal interpolation. |
| 395 |
viscLoc = ( KappaRU(i,j,k) + KappaRU(i+1,j,k) |
| 396 |
& +KappaRV(i,j,k) + KappaRV(i,j+1,k) |
| 397 |
& )*0.25 _d 0 |
| 398 |
flxDisUp(i,j) = |
| 399 |
& - viscLoc*( wVel(i,j, k ,bi,bj) |
| 400 |
& -wVel(i,j,k-1,bi,bj) )*rkSign |
| 401 |
& *recip_drF(k-1)*rA(i,j,bi,bj) |
| 402 |
& *deepFac2C(k-1)*rhoFacC(k-1) |
| 403 |
C to recover old (before 2009/11/30) results (since flxDisUp(k=2) was zero) |
| 404 |
c flxDisUp(i,j) = 0. |
| 405 |
ENDDO |
| 406 |
ENDDO |
| 407 |
ENDIF |
| 408 |
C Tendency is minus divergence of viscous fluxes: |
| 409 |
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
| 410 |
DO j=jMin,jMax |
| 411 |
DO i=iMin,iMax |
| 412 |
gwDiss(i,j) = |
| 413 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 414 |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 415 |
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
| 416 |
& *recip_rhoFacF(k) |
| 417 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 418 |
& *recip_deepFac2F(k) |
| 419 |
C-- prepare for next level (k+1) |
| 420 |
flxDisUp(i,j)=flx_Dn(i,j) |
| 421 |
ENDDO |
| 422 |
ENDDO |
| 423 |
ENDIF |
| 424 |
|
| 425 |
IF ( momViscosity .AND. k.GT.1 .AND. no_slip_sides ) THEN |
| 426 |
C- No-slip BCs impose a drag at walls... |
| 427 |
CALL MOM_W_SIDEDRAG( |
| 428 |
I bi,bj,k, |
| 429 |
I wVel, del2w, |
| 430 |
I rThickC_C, recip_rThickC, |
| 431 |
I viscAh_W, viscA4_W, |
| 432 |
O gwAdd, |
| 433 |
I myThid ) |
| 434 |
DO j=jMin,jMax |
| 435 |
DO i=iMin,iMax |
| 436 |
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
| 437 |
ENDDO |
| 438 |
ENDDO |
| 439 |
ENDIF |
| 440 |
|
| 441 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 442 |
|
| 443 |
IF ( momAdvection ) THEN |
| 444 |
|
| 445 |
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
| 446 |
C Advective Flux on Western face |
| 447 |
DO j=jMin,jMax |
| 448 |
DO i=iMin,iMax+1 |
| 449 |
C transport through Western face area: |
| 450 |
uTrans = ( |
| 451 |
& drF(km1)*_hFacW(i,j,km1,bi,bj)*uVel(i,j,km1,bi,bj) |
| 452 |
& *rhoFacC(km1)*mskM1 |
| 453 |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
| 454 |
& *rhoFacC(k) |
| 455 |
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
| 456 |
flx_EW(i,j) = uTrans*(wFld(i,j)+wFld(i-1,j))*halfRL |
| 457 |
c flx_EW(i,j)= |
| 458 |
c & uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
| 459 |
ENDDO |
| 460 |
ENDDO |
| 461 |
C Advective Flux on Southern face |
| 462 |
DO j=jMin,jMax+1 |
| 463 |
DO i=iMin,iMax |
| 464 |
C transport through Southern face area: |
| 465 |
vTrans = ( |
| 466 |
& drF(km1)*_hFacS(i,j,km1,bi,bj)*vVel(i,j,km1,bi,bj) |
| 467 |
& *rhoFacC(km1)*mskM1 |
| 468 |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
| 469 |
& *rhoFacC(k) |
| 470 |
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
| 471 |
flx_NS(i,j) = vTrans*(wFld(i,j)+wFld(i,j-1))*halfRL |
| 472 |
c flx_NS(i,j)= |
| 473 |
c & vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
| 474 |
ENDDO |
| 475 |
ENDDO |
| 476 |
ENDIF |
| 477 |
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 478 |
c IF (.TRUE.) THEN |
| 479 |
DO j=jMin,jMax |
| 480 |
DO i=iMin,iMax |
| 481 |
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
| 482 |
tmp_WbarZ = halfRL* |
| 483 |
& ( wVel(i,j, k ,bi,bj)*rVel2wUnit( k ) |
| 484 |
& +wVel(i,j,kp1,bi,bj)*rVel2wUnit(kp1)*mskP1 ) |
| 485 |
C transport through Lower face area: |
| 486 |
rTrans = halfRL* |
| 487 |
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
| 488 |
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
| 489 |
& *mskP1 |
| 490 |
& )*rA(i,j,bi,bj) |
| 491 |
flx_Dn(i,j) = rTrans*tmp_WbarZ |
| 492 |
ENDDO |
| 493 |
ENDDO |
| 494 |
c ENDIF |
| 495 |
IF ( k.EQ.1 .AND. selectNHfreeSurf.GE.1 ) THEN |
| 496 |
C Advective Flux on Upper face of W-Cell (= at surface) |
| 497 |
DO j=jMin,jMax |
| 498 |
DO i=iMin,iMax |
| 499 |
tmp_WbarZ = wVel(i,j,k,bi,bj)*rVel2wUnit(k) |
| 500 |
rTrans = wVel(i,j,k,bi,bj)*deepFac2F(k)*rhoFacF(k) |
| 501 |
& *rA(i,j,bi,bj) |
| 502 |
flxAdvUp(i,j) = rTrans*tmp_WbarZ |
| 503 |
c flxAdvUp(i,j) = 0. |
| 504 |
ENDDO |
| 505 |
ENDDO |
| 506 |
ENDIF |
| 507 |
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
| 508 |
C Tendency is minus divergence of advective fluxes: |
| 509 |
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
| 510 |
DO j=jMin,jMax |
| 511 |
DO i=iMin,iMax |
| 512 |
gW(i,j,k,bi,bj) = |
| 513 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 514 |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 515 |
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
| 516 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 517 |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
| 518 |
ENDDO |
| 519 |
ENDDO |
| 520 |
ENDIF |
| 521 |
|
| 522 |
DO j=jMin,jMax |
| 523 |
DO i=iMin,iMax |
| 524 |
C-- prepare for next level (k+1) |
| 525 |
flxAdvUp(i,j)=flx_Dn(i,j) |
| 526 |
ENDDO |
| 527 |
ENDDO |
| 528 |
|
| 529 |
c ELSE |
| 530 |
C- if momAdvection / else |
| 531 |
c DO j=1-OLy,sNy+OLy |
| 532 |
c DO i=1-OLx,sNx+OLx |
| 533 |
c gW(i,j,k,bi,bj) = 0. _d 0 |
| 534 |
c ENDDO |
| 535 |
c ENDDO |
| 536 |
|
| 537 |
C- endif momAdvection. |
| 538 |
ENDIF |
| 539 |
|
| 540 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 541 |
|
| 542 |
IF ( useNHMTerms .AND. k.GT.1 ) THEN |
| 543 |
CALL MOM_W_METRIC_NH( |
| 544 |
I bi,bj,k, |
| 545 |
I uVel, vVel, |
| 546 |
O gwAdd, |
| 547 |
I myThid ) |
| 548 |
DO j=jMin,jMax |
| 549 |
DO i=iMin,iMax |
| 550 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 551 |
ENDDO |
| 552 |
ENDDO |
| 553 |
ENDIF |
| 554 |
IF ( use3dCoriolis .AND. k.GT.1 ) THEN |
| 555 |
CALL MOM_W_CORIOLIS_NH( |
| 556 |
I bi,bj,k, |
| 557 |
I uVel, vVel, |
| 558 |
O gwAdd, |
| 559 |
I myThid ) |
| 560 |
DO j=jMin,jMax |
| 561 |
DO i=iMin,iMax |
| 562 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 563 |
ENDDO |
| 564 |
ENDDO |
| 565 |
ENDIF |
| 566 |
|
| 567 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 568 |
|
| 569 |
#ifdef ALLOW_DIAGNOSTICS |
| 570 |
IF ( diagDiss ) THEN |
| 571 |
CALL DIAGNOSTICS_FILL( gwDiss, 'Wm_Diss ', |
| 572 |
& k, 1, 2, bi,bj, myThid ) |
| 573 |
C- note: needs to explicitly increment the counter since DIAGNOSTICS_FILL |
| 574 |
C does it only if k=1 (never the case here) |
| 575 |
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Diss ',bi,bj,myThid) |
| 576 |
ENDIF |
| 577 |
IF ( diagAdvec ) THEN |
| 578 |
CALL DIAGNOSTICS_FILL( gW, 'Wm_Advec', |
| 579 |
& k,Nr, 1, bi,bj, myThid ) |
| 580 |
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Advec',bi,bj,myThid) |
| 581 |
ENDIF |
| 582 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 583 |
|
| 584 |
C-- Dissipation term inside the Adams-Bashforth: |
| 585 |
IF ( momViscosity .AND. momDissip_In_AB) THEN |
| 586 |
DO j=jMin,jMax |
| 587 |
DO i=iMin,iMax |
| 588 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 589 |
ENDDO |
| 590 |
ENDDO |
| 591 |
ENDIF |
| 592 |
|
| 593 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
| 594 |
C and save gW_[n] into gwNm1 for the next time step. |
| 595 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 596 |
CALL ADAMS_BASHFORTH3( |
| 597 |
I bi, bj, k, |
| 598 |
U gW, gwNm, |
| 599 |
I nHydStartAB, myIter, myThid ) |
| 600 |
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
| 601 |
CALL ADAMS_BASHFORTH2( |
| 602 |
I bi, bj, k, |
| 603 |
U gW, gwNm1, |
| 604 |
I nHydStartAB, myIter, myThid ) |
| 605 |
#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
| 606 |
|
| 607 |
C-- Dissipation term outside the Adams-Bashforth: |
| 608 |
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
| 609 |
DO j=jMin,jMax |
| 610 |
DO i=iMin,iMax |
| 611 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 612 |
ENDDO |
| 613 |
ENDDO |
| 614 |
ENDIF |
| 615 |
|
| 616 |
C- end of the k loop |
| 617 |
ENDDO |
| 618 |
|
| 619 |
#ifdef ALLOW_DIAGNOSTICS |
| 620 |
IF (useDiagnostics) THEN |
| 621 |
CALL DIAGNOSTICS_FILL(viscAh_W,'VISCAHW ',0,Nr,1,bi,bj,myThid) |
| 622 |
CALL DIAGNOSTICS_FILL(viscA4_W,'VISCA4W ',0,Nr,1,bi,bj,myThid) |
| 623 |
ENDIF |
| 624 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 625 |
|
| 626 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 627 |
|
| 628 |
RETURN |
| 629 |
END |
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