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C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_del2uv.F,v 1.13 2007/08/16 02:20:41 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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SUBROUTINE MOM_VI_DEL2UV( |
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I bi,bj,k, |
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I hDiv,vort3,hFacZ, |
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O del2u,del2v, |
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I myThid) |
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IMPLICIT NONE |
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C |
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C Calculate del^2 of (u,v) in terms of hDiv and vort3 |
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C |
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|
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C == Global variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "EEPARAMS.h" |
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|
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C == Routine arguments == |
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INTEGER bi,bj,k |
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_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vort3(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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_RL del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL del2v(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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|
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C == Local variables == |
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INTEGER i,j |
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c _RL Zip,Zij,Zpj,Dim,Dij,Dmj,uDij |
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|
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C - bi-harmonic viscosity : |
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|
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c DO j=2-Oly,sNy+Oly-1 |
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c DO i=2-Olx,sNx+Olx-1 |
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|
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c Dim=dyF( i ,j-1,bi,bj)*hFacC( i ,j-1,k,bi,bj)*hDiv( i ,j-1) |
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c Dij=dyF( i , j ,bi,bj)*hFacC( i , j ,k,bi,bj)*hDiv( i , j ) |
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c Dmj=dyF(i-1, j ,bi,bj)*hFacC(i-1, j ,k,bi,bj)*hDiv(i-1, j ) |
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c Dim=dyF( i ,j-1,bi,bj)* hDiv( i ,j-1) |
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c Dij=dyF( i , j ,bi,bj)* hDiv( i , j ) |
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c Dmj=dyF(i-1, j ,bi,bj)* hDiv(i-1, j ) |
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c Dim= hDiv( i ,j-1) |
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c Dij= hDiv( i , j ) |
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c Dmj= hDiv(i-1, j ) |
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|
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c Zip=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*vort3( i ,j+1) |
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c Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*vort3( i , j ) |
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c Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*vort3(i+1, j ) |
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c Zip= hFacZ( i ,j+1)*vort3( i ,j+1) |
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c Zij= hFacZ( i , j )*vort3( i , j ) |
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c Zpj= hFacZ(i+1, j )*vort3(i+1, j ) |
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|
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|
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c del2u(i,j) = recip_rAw(i,j,bi,bj)*( |
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c & +recip_hFacW(i,j,k,bi,bj)*( Dij-Dmj ) |
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c & -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) ) |
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c del2u(i,j) = recip_rAw(i,j,bi,bj)*( |
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c & + ( Dij-Dmj ) |
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c & -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) ) |
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c del2u(i,j) = |
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c & + ( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
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c & -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) |
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|
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c del2v(i,j) = recip_rAs(i,j,bi,bj)*( |
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c & recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij ) |
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c & +recip_hFacS(i,j,k,bi,bj)*( Dij-Dim ) ) |
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c del2v(i,j) = recip_rAs(i,j,bi,bj)*( |
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c & recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij ) |
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c & + ( Dij-Dim ) ) |
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c del2v(i,j) = |
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c & recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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c & + ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
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|
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c ENDDO |
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c ENDDO |
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|
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C - bi-harmonic viscosity : del^2(U_component) |
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|
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cph-exch2#ifndef ALLOW_AUTODIFF_TAMC |
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IF (useCubedSphereExchange) THEN |
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C to compute d/dx(hDiv), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
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& hDiv, bi,bj, myThid ) |
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ENDIF |
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cph-exch2#endif |
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c DO j=1,sNy |
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c DO i=1,sNx+1 |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx-1 |
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del2u(i,j) = |
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& + ( hDiv(i,j) - hDiv(i-1,j) )*recip_DXC(i,j,bi,bj) |
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& -_recip_hFacW(i,j,k,bi,bj)* |
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& ( hFacZ(i,j+1)*vort3(i,j+1) - hFacZ(i,j)*vort3(i,j) ) |
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& *recip_DYG(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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|
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C - bi-harmonic viscosity : del^2(V_component) |
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|
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cph-exch2#ifndef ALLOW_AUTODIFF_TAMC |
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IF (useCubedSphereExchange) THEN |
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C to compute d/dy(hDiv), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
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& hDiv, bi,bj, myThid ) |
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ENDIF |
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cph-exch2#endif |
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c DO j=1,sNy+1 |
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c DO i=1,sNx |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx-1 |
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del2v(i,j) = |
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& + ( hDiv(i,j) - hDiv(i,j-1) )*recip_DYC(i,j,bi,bj) |
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& +_recip_hFacS(i,j,k,bi,bj)* |
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& ( hFacZ(i+1,j)*vort3(i+1,j) - hFacZ(i,j)*vort3(i,j) ) |
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& *recip_DXG(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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|
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RETURN |
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END |
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