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C $Header: /u/u3/gcmpack/MITgcm/pkg/mom_fluxform/mom_u_del2u.F,v 1.4.2.1 2003/10/02 18:30:08 adcroft Exp $ |
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C $Name: $ |
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#include "MOM_FLUXFORM_OPTIONS.h" |
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CBOP |
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C !ROUTINE: MOM_U_DEL2U |
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C !INTERFACE: ========================================================== |
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SUBROUTINE MOM_U_DEL2U( |
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I bi,bj,k, |
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I uFld, hFacZ, |
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O del2u, |
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I myThid) |
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C !DESCRIPTION: |
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C Calculates the Laplacian of zonal flow |
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C !USES: =============================================================== |
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IMPLICIT NONE |
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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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C !INPUT PARAMETERS: =================================================== |
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C bi,bj :: tile indices |
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C k :: vertical level |
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C uFld :: zonal flow |
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C hFacZ :: fractional thickness at vorticity points |
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C myThid :: thread number |
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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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_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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C !OUTPUT PARAMETERS: ================================================== |
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C del2u :: Laplacian |
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_RL del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
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INTEGER I,J |
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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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_RS hFacZClosedS,hFacZClosedN |
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CEOP |
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C Zonal flux d/dx U |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx-1 |
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fZon(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
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& *_dyF(i,j,bi,bj) |
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& *_recip_dxF(i,j,bi,bj) |
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& *(uFld(i+1,j)-uFld(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 U |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx-1 |
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fMer(i,j) = drF(k)*hFacZ(i,j) |
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& *_dxV(i,j,bi,bj) |
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& *_recip_dyU(i,j,bi,bj) |
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& *(uFld(i,j)-uFld(i,j-1)) |
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ENDDO |
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ENDDO |
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C del^2 U |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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del2u(i,j) = |
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& recip_drF(k)*_recip_hFacW(i,j,k,bi,bj) |
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& *recip_rAw(i,j,bi,bj) |
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& *( fZon(i,j ) - fZon(i-1,j) |
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& +fMer(i,j+1) - fMer(i ,j) |
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& )*_maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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IF (no_slip_sides) THEN |
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C-- No-slip BCs impose a drag at walls... |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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hFacZClosedS = _hFacW(i,j,k,bi,bj) - hFacZ(i,j) |
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hFacZClosedN = _hFacW(i,j,k,bi,bj) - hFacZ(i,j+1) |
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del2u(i,j) = del2u(i,j) |
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& - _recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
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& *recip_rAw(i,j,bi,bj) |
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& *( hFacZClosedS*dxV(i, j ,bi,bj) |
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& *_recip_dyU(i, j ,bi,bj) |
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& +hFacZClosedN*dxV(i,j+1,bi,bj) |
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& *_recip_dyU(i,j+1,bi,bj) |
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& )*drF(k)*2.*uFld(i,j) |
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& *_maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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RETURN |
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END |