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C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_v_coriolis.F,v 1.13 2008/05/05 22:45:00 jmc Exp $ |
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C $Name: $ |
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|
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#include "MOM_VECINV_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: MOM_VI_V_CORIOLIS |
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C !INTERFACE: |
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SUBROUTINE MOM_VI_V_CORIOLIS( |
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I bi, bj, k, |
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I selectVortScheme, useJamartMomAdv, |
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I uFld, omega3, hFacZ, r_hFacZ, |
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O vCoriolisTerm, |
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I myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R MOM_VI_V_CORIOLIS |
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C |==========================================================* |
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C | o Calculate flux (in X-dir.) of vorticity at V point |
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C | using 2nd order interpolation |
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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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|
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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 "GRID.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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INTEGER bi, bj, k |
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_RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL omega3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS hFacZ (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS r_hFacZ (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vCoriolisTerm(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER selectVortScheme |
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LOGICAL useJamartMomAdv |
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INTEGER myThid |
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CEOP |
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|
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C == Local variables == |
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C msgBuf :: Informational/error meesage buffer |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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LOGICAL upwindVort3 |
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INTEGER i, j |
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_RL uBarXY, uBarYm, uBarYp |
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_RL vort3v |
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_RL vort3im, vort3ij, vort3pm, vort3pj |
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_RL oneThird, tmpFac |
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_RS epsil |
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PARAMETER( upwindVort3 = .FALSE. ) |
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|
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epsil = 1. _d -9 |
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tmpFac = 1. _d 0 |
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c oneThird = 1. _d 0 / ( 1. _d 0 + 2.*tmpFac ) |
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oneThird = 1. _d 0 / 3. _d 0 |
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|
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IF ( selectVortScheme.EQ.0 ) THEN |
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C-- using enstrophy conserving scheme (Shallow-Water Eq.) by Sadourny, JAS 75 |
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|
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DO j=2-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx-1 |
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uBarXY=0.25*( |
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& (uFld( i , j )*dyG( i , j ,bi,bj)*_hFacW( i , j ,k,bi,bj) |
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& +uFld( i ,j-1)*dyG( i ,j-1,bi,bj)*_hFacW( i ,j-1,k,bi,bj)) |
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& +(uFld(i+1, j )*dyG(i+1, j ,bi,bj)*_hFacW(i+1, j ,k,bi,bj) |
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& +uFld(i+1,j-1)*dyG(i+1,j-1,bi,bj)*_hFacW(i+1,j-1,k,bi,bj)) |
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& ) |
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IF (upwindVort3) THEN |
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IF (uBarXY.GT.0.) THEN |
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vort3v=omega3(i,j)*r_hFacZ(i,j) |
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ELSE |
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vort3v=omega3(i+1,j)*r_hFacZ(i+1,j) |
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ENDIF |
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ELSE |
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vort3v=0.5*(omega3(i,j)*r_hFacZ(i,j) |
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& +omega3(i+1,j)*r_hFacZ(i+1,j)) |
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ENDIF |
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vCoriolisTerm(i,j)= -vort3v*uBarXY*recip_dyC(i,j,bi,bj) |
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& * _maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( selectVortScheme.EQ.1 ) THEN |
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C-- same as above, with different formulation (relatively to hFac) |
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|
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DO j=2-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx-1 |
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uBarXY= 0.5*( |
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& (uFld( i , j )*dyG( i , j ,bi,bj)*hFacZ( i ,j) |
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& +uFld( i ,j-1)*dyG( i ,j-1,bi,bj)*hFacZ( i ,j)) |
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& +(uFld(i+1, j )*dyG(i+1, j ,bi,bj)*hFacZ(i+1,j) |
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& +uFld(i+1,j-1)*dyG(i+1,j-1,bi,bj)*hFacZ(i+1,j)) |
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& )/MAX( epsil, hFacZ(i,j)+hFacZ(i+1,j) ) |
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IF (upwindVort3) THEN |
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IF (uBarXY.GT.0.) THEN |
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vort3v=omega3(i,j) |
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ELSE |
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vort3v=omega3(i+1,j) |
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ENDIF |
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ELSE |
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vort3v=0.5*(omega3(i,j)+omega3(i+1,j)) |
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ENDIF |
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vCoriolisTerm(i,j)= -vort3v*uBarXY*recip_dyC(i,j,bi,bj) |
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& * _maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( selectVortScheme.EQ.2 ) THEN |
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C-- using energy conserving scheme (used by Sadourny in JAS 75 paper) |
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|
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DO j=2-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx-1 |
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uBarYm=0.5*( |
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& uFld( i , j )*dyG( i , j ,bi,bj)*_hFacW( i , j ,k,bi,bj) |
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& +uFld( i ,j-1)*dyG( i ,j-1,bi,bj)*_hFacW( i ,j-1,k,bi,bj) ) |
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uBarYp=0.5*( |
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& uFld(i+1, j )*dyG(i+1, j ,bi,bj)*_hFacW(i+1, j ,k,bi,bj) |
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& +uFld(i+1,j-1)*dyG(i+1,j-1,bi,bj)*_hFacW(i+1,j-1,k,bi,bj) ) |
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IF (upwindVort3) THEN |
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IF ( (uBarYm+uBarYp) .GT.0.) THEN |
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vort3v=uBarYm*r_hFacZ( i ,j)*omega3( i ,j) |
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ELSE |
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vort3v=uBarYp*r_hFacZ(i+1,j)*omega3(i+1,j) |
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ENDIF |
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ELSE |
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vort3v = ( uBarYm*r_hFacZ( i ,j)*omega3( i ,j) |
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& +uBarYp*r_hFacZ(i+1,j)*omega3(i+1,j) |
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& )*0.5 _d 0 |
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ENDIF |
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vCoriolisTerm(i,j)= -vort3v*recip_dyC(i,j,bi,bj) |
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& * _maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( selectVortScheme.EQ.3 ) THEN |
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C-- using energy & enstrophy conserving scheme |
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C (from Sadourny, described by Burridge & Haseler, ECMWF Rep.4, 1977) |
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|
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C domain where vCoriolisTerm is valid : |
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C [ 2-Olx : sNx+Olx-1 ] x [ 3-Oly : sNy+Oly-1 ] |
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C (=> might need overlap of 3 if using CD-scheme) |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx-1 |
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vort3im= ( r_hFacZ(i, j )*omega3(i, j ) |
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& +(r_hFacZ(i+1,j)*omega3(i+1,j) |
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& +r_hFacZ(i,j-1)*omega3(i,j-1) |
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& ))*oneThird |
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c & )*tmpFac)*oneThird |
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& *uFld( i ,j-1)*dyG( i ,j-1,bi,bj)*_hFacW( i ,j-1,k,bi,bj) |
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vort3ij= ( r_hFacZ(i, j )*omega3(i, j ) |
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& +(r_hFacZ(i+1,j)*omega3(i+1,j) |
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& +r_hFacZ(i,j+1)*omega3(i,j+1) |
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& ))*oneThird |
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c & )*tmpFac)*oneThird |
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& *uFld( i , j )*dyG( i , j ,bi,bj)*_hFacW( i , j ,k,bi,bj) |
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vort3pm= ( r_hFacZ(i+1,j)*omega3(i+1,j) |
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& +(r_hFacZ(i, j )*omega3(i, j ) |
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& +r_hFacZ(i+1,j-1)*omega3(i+1,j-1) |
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& ))*oneThird |
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c & )*tmpFac)*oneThird |
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& *uFld(i+1,j-1)*dyG(i+1,j-1,bi,bj)*_hFacW(i+1,j-1,k,bi,bj) |
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vort3pj= ( r_hFacZ(i+1,j)*omega3(i+1,j) |
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& +(r_hFacZ(i, j )*omega3(i, j ) |
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& +r_hFacZ(i+1,j+1)*omega3(i+1,j+1) |
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& ))*oneThird |
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c & )*tmpFac)*oneThird |
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& *uFld(i+1, j )*dyG(i+1, j ,bi,bj)*_hFacW(i+1, j ,k,bi,bj) |
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C--- |
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vCoriolisTerm(i,j)= -( (vort3im+vort3ij)+(vort3pm+vort3pj) ) |
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& *0.25 _d 0 *recip_dyC(i,j,bi,bj) |
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& * _maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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ELSE |
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WRITE(msgBuf,'(A,I5,A)') |
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& 'MOM_VI_V_CORIOLIS: selectVortScheme=', selectVortScheme, |
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& ' not implemented' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R MOM_VI_V_CORIOLIS' |
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|
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ENDIF |
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|
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IF ( useJamartMomAdv ) THEN |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx-1 |
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vCoriolisTerm(i,j) = vCoriolisTerm(i,j) |
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& * 4. _d 0 * _hFacS(i,j,k,bi,bj) |
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& / MAX( epsil, |
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& (_hFacW( i ,j,k,bi,bj)+_hFacW( i ,j-1,k,bi,bj)) |
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& +(_hFacW(i+1,j,k,bi,bj)+_hFacW(i+1,j-1,k,bi,bj)) |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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RETURN |
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END |
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