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C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.28 2006/07/07 20:09:37 jmc Exp $ |
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C !DESCRIPTION: \bv |
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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 vert. velocity tendency terms ( NH, QH only ) |
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C *==========================================================* |
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C | In NH and QH, 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 "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 flx_NS :: Temp. used for fVol meridional terms. |
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C flx_EW :: Temp. used for fVol zonal terms. |
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C flx_Up :: Temp. used for fVol vertical terms. |
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C flx_Dn :: Temp. used for fVol vertical terms. |
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INTEGER iMin,iMax,jMin,jMax |
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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 flx_Up(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer (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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C i,j,k - Loop counters |
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INTEGER i,j,k, kp1 |
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_RL wOverride |
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_RS hFacWtmp |
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_RS hFacStmp |
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_RS hFacCtmp |
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_RS recip_hFacCtmp |
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_RL slipSideFac |
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_RL tmp_VbarZ, tmp_UbarZ, tmp_WbarZ |
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_RL viscLoc |
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_RL Half |
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PARAMETER(Half=0.5D0) |
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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 Lateral friction (no-slip, free slip, or half slip): |
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IF ( no_slip_sides ) THEN |
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slipSideFac = -1. _d 0 |
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ELSE |
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slipSideFac = 1. _d 0 |
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ENDIF |
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CML half slip was used before ; keep the line for now, but half slip is |
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CML not used anywhere in the code as far as I can see. |
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C slipSideFac = 0. _d 0 |
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C- need to fix the side-drag implementation; for now, always impose free-slip |
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slipSideFac = 1. _d 0 |
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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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|
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C-- Boundaries condition at top |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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flx_Up(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-- 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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fZon(1-Olx,j)=0. |
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DO i=1-Olx+1,sNx+Olx |
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C- Problem here: drF(k)*_hFacC & fZon are not at the same Horiz.&Vert. location |
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fZon(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
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& *_dyG(i,j,bi,bj) |
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& *_recip_dxC(i,j,bi,bj) |
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& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
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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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fMer(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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C- Problem here: drF(k)*_hFacC & fMer are not at the same Horiz.&Vert. location |
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fMer(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
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& *_dxG(i,j,bi,bj) |
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& *_recip_dyC(i,j,bi,bj) |
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& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
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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)=fZon(i+1,j)-fZon(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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C First compute the fraction of open water for the w-control volume |
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C at the southern face |
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hFacCtmp=max( _hFacC(i,j,k-1,bi,bj)-Half,0. _d 0 ) |
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& + min( _hFacC(i,j,k ,bi,bj) ,Half ) |
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IF (hFacCtmp .GT. 0.) THEN |
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recip_hFacCtmp = 1./hFacCtmp |
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ELSE |
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recip_hFacCtmp = 0. _d 0 |
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ENDIF |
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del2w(i,j)=recip_rA(i,j,bi,bj) |
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& *recip_drC(k)*recip_hFacCtmp |
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& *( |
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& del2w(i,j) |
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& +( fMer(i,j+1)-fMer(i,j) ) |
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& ) |
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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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C 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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C First compute the fraction of open water for the w-control volume |
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C at the southern face |
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hFacStmp=max(_hFacS(i,j,k-1,bi,bj)-Half,0. _d 0) |
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& + min(_hFacS(i,j,k ,bi,bj),Half) |
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tmp_VbarZ=Half*( |
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& _hFacS(i,j,k-1,bi,bj)*vVel( i ,j,k-1,bi,bj) |
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& +_hFacS(i,j, k ,bi,bj)*vVel( i ,j, k ,bi,bj)) |
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flx_NS(i,j)= |
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& tmp_VbarZ*Half*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj)) |
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& -(viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*Half |
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& *_recip_dyC(i,j,bi,bj) |
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& *(hFacStmp*(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
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C- Problem here: No-slip bc CANNOT be written in term of a flux |
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& +(1. _d 0 - hFacStmp)*(1. _d 0 - slipSideFac) |
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& *wVel(i,j,k,bi,bj)) |
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& +(viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*Half |
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& *_recip_dyC(i,j,bi,bj)*(del2w(i,j)-del2w(i,j-1)) |
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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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C The last term is the weighted average of the viscous stress at the open |
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C fraction of the w control volume and at the closed fraction of the |
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C the control volume. A more compact but less intelligible version |
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C of the last three lines is: |
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CML & *( (1 _d 0 - slipSideFac*(1 _d 0 - hFacStmp)) |
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CML & *wVel(i,j,k,bi,bi) + hFacStmp*wVel(i,j-1,k,bi,bj) ) |
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ENDDO |
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ENDDO |
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C 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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C First compute the fraction of open water for the w-control volume |
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C at the western face |
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hFacWtmp=max(_hFacW(i,j,k-1,bi,bj)-Half,0. _d 0) |
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& + min(_hFacW(i,j,k ,bi,bj),Half) |
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tmp_UbarZ=Half*( |
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& _hFacW(i,j,k-1,bi,bj)*uVel( i ,j,k-1,bi,bj) |
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& +_hFacW(i,j, k ,bi,bj)*uVel( i ,j, k ,bi,bj)) |
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flx_EW(i,j)= |
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& tmp_UbarZ*Half*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj)) |
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& -(viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*Half |
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& *_recip_dxC(i,j,bi,bj) |
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& *(hFacWtmp*(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
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C- Problem here: No-slip bc CANNOT be written in term of a flux |
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& +(1 _d 0 - hFacWtmp)*(1 _d 0 - slipSideFac) |
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& *wVel(i,j,k,bi,bj) ) |
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& +(viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*Half |
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& *_recip_dxC(i,j,bi,bj)*(del2w(i,j)-del2w(i-1,j)) |
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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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C The last term is the weighted average of the viscous stress at the open |
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C fraction of the w control volume and at the closed fraction of the |
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C the control volume. A more compact but less intelligible version |
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C of the last three lines is: |
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CML & *( (1 _d 0 - slipSideFac*(1 _d 0 - hFacWtmp)) |
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CML & *wVel(i,j,k,bi,bi) + hFacWtmp*wVel(i-1,j,k,bi,bj) ) |
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ENDDO |
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ENDDO |
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C Flux on Lower face |
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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 W points |
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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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tmp_WbarZ = Half*( wVel(i,j, k ,bi,bj) |
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& +wVel(i,j,kp1,bi,bj)*wOverRide ) |
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flx_Dn(i,j)= |
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& tmp_WbarZ*tmp_WbarZ |
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& -viscLoc*recip_drF(k) |
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& *( wVel(i,j, k ,bi,bj) |
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& -wVel(i,j,kp1,bi,bj)*wOverRide ) |
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ENDDO |
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ENDDO |
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C Divergence of fluxes |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gW(i,j,k,bi,bj) = 0. |
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& -( |
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& +_recip_dxF(i,j,bi,bj)*( |
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& flx_EW(i+1,j)-flx_EW(i,j) ) |
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& +_recip_dyF(i,j,bi,bj)*( |
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& flx_NS(i,j+1)-flx_NS(i,j) ) |
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& +recip_drC(k) *( |
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& flx_Up(i,j) -flx_Dn(i,j) ) |
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& ) |
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caja * recip_hFacU(i,j,k,bi,bj) |
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caja NOTE: This should be included |
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caja but we need an hFacUW (above U points) |
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caja and an hFacUS (above V points) too... |
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C-- prepare for next level (k+1) |
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flx_Up(i,j)=flx_Dn(i,j) |
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ENDDO |
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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- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
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C and save gW_[n] into gwNm1 for the next time step. |
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c#ifdef ALLOW_ADAMSBASHFORTH_3 |
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c CALL ADAMS_BASHFORTH3( |
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c I bi, bj, k, |
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c U gW, gwNm, |
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c I momStartAB, myIter, myThid ) |
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c#else /* ALLOW_ADAMSBASHFORTH_3 */ |
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CALL ADAMS_BASHFORTH2( |
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I bi, bj, k, |
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U gW, gwNm1, |
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I myIter, myThid ) |
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c#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
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|
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C- end of the k loop |
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ENDDO |
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|
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#endif /* ALLOW_NONHYDROSTATIC */ |
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|
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RETURN |
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END |
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