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C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_u_coriolis_c4.F,v 1.4 2004/12/10 20:15:10 heimbach Exp $ |
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C $Name: $ |
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#include "MOM_VECINV_OPTIONS.h" |
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CBOP |
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C !ROUTINE: MOM_VI_U_CORIOLIS_C4 |
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C !INTERFACE: |
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SUBROUTINE MOM_VI_U_CORIOLIS_C4( |
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I bi,bj,k, |
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I vFld,omega3,r_hFacZ, |
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O uCoriolisTerm, |
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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_U_CORIOLIS_C4 |
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C |==========================================================* |
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C | o Calculate meridional flux of vorticity at U point |
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C | using 4th order interpolation |
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C *==========================================================* |
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C \ev |
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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 "GRID.h" |
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#include "PARAMS.h" |
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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 vFld(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 r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uCoriolisTerm(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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CEOP |
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C == Local variables == |
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INTEGER i,j |
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_RL vBarXY,vort3u,Rjp,Rjm |
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_RL vBarXm,vBarXp,oneSixth |
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LOGICAL upwindVort3 |
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LOGICAL fourthVort3 |
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PARAMETER(oneSixth=1.D0/6.D0) |
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PARAMETER(upwindVort3=.FALSE.) |
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PARAMETER(fourthVort3=.TRUE. ) |
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c DO j=2-Oly,sNy+Oly-2 |
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c DO i=2-Olx,sNx+Olx |
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DO j=1,sNy |
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DO i=1,sNx+1 |
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IF ( SadournyCoriolis ) THEN |
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C- using SadournyCoriolis discretization: |
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vBarXY=1. |
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vBarXm=0.5*( |
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& vFld( i , j )*dxG( i , j ,bi,bj)*hFacS( i , j ,k,bi,bj) |
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& +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*hFacS(i-1, j ,k,bi,bj) ) |
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vBarXp=0.5*( |
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& vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*hFacS( i ,j+1,k,bi,bj) |
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& +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*hFacS(i-1,j+1,k,bi,bj) ) |
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IF (upwindVorticity) THEN |
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IF ( (vBarXm+vBarXp) .GT.0.) THEN |
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vort3u=vBarXm*r_hFacZ(i, j )*omega3(i, j ) |
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ELSE |
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vort3u=vBarXp*r_hFacZ(i,j+1)*omega3(i,j+1) |
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ENDIF |
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ELSEIF (fourthVort3) THEN |
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Rjp = omega3(i,j+1)*r_hFacZ(i,j+1) |
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& -oneSixth*( omega3(i,j+2)*r_hFacZ(i,j+2) |
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& -omega3(i, j )*r_hFacZ(i, j ) ) |
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Rjm = omega3(i,j)*r_hFacZ(i,j) |
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& +oneSixth*( omega3(i,j+1)*r_hFacZ(i,j+1) |
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& -omega3(i,j-1)*r_hFacZ(i,j-1) ) |
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vort3u=0.5*( vBarXm*Rjm + vBarXp*Rjp ) |
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ELSE |
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vort3u=0.5*( vBarXm*r_hFacZ(i, j )*omega3(i, j ) |
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& + vBarXp*r_hFacZ(i,j+1)*omega3(i,j+1) ) |
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ENDIF |
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ELSE |
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C- not using SadournyCoriolis discretization: |
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vBarXY=0.25*( |
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& vFld( i , j )*dxG( i , j ,bi,bj)*hFacS( i , j ,k,bi,bj) |
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& +vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*hFacS( i ,j+1,k,bi,bj) |
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& +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*hFacS(i-1, j ,k,bi,bj) |
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& +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*hFacS(i-1,j+1,k,bi,bj)) |
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IF (upwindVort3) THEN |
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IF (vBarXY.GT.0.) THEN |
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vort3u=omega3(i,j)*r_hFacZ(i,j) |
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ELSE |
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vort3u=omega3(i,j+1)*r_hFacZ(i,j+1) |
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ENDIF |
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ELSEIF (fourthVort3) THEN |
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Rjp=omega3(i,j+2)*r_hFacZ(i,j+2) |
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& -omega3(i,j+1)*r_hFacZ(i,j+1) |
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Rjm=omega3(i,j)*r_hFacZ(i,j) |
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& -omega3(i,j-1)*r_hFacZ(i,j-1) |
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vort3u=0.5*(omega3(i,j)*r_hFacZ(i,j) |
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& +omega3(i,j+1)*r_hFacZ(i,j+1) |
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& -1./12.*(Rjp-Rjm) |
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& ) |
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ELSE |
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vort3u=0.5*(omega3(i,j)*r_hFacZ(i,j) |
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& +omega3(i,j+1)*r_hFacZ(i,j+1)) |
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ENDIF |
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heimbach |
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C- end if / else SadournyCoriolis |
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ENDIF |
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uCoriolisTerm(i,j)= |
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& vort3u*vBarXY*recip_dxC(i,j,bi,bj) |
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& * _maskW(i,j,k,bi,bj) |
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heimbach |
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ENDDO |
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ENDDO |
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RETURN |
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END |
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