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C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_del2uv.F,v 1.5 2004/02/06 20:52:37 adcroft Exp $ |
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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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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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#ifdef ALLOW_EXCH2 |
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#include "W2_EXCH2_TOPOLOGY.h" |
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#include "W2_EXCH2_PARAMS.h" |
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#endif /* ALLOW_EXCH2 */ |
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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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_RL Zip,Zij,Zpj,Dim,Dij,Dmj,uDij |
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LOGICAL northWestCorner, northEastCorner, |
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& southWestCorner, southEastCorner |
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#ifdef ALLOW_EXCH2 |
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INTEGER myTile |
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#endif /* ALLOW_EXCH2 */ |
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|
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C Special stuff for Cubed Sphere |
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IF (useCubedSphereExchange) THEN |
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#ifdef ALLOW_EXCH2 |
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southWestCorner = .FALSE. |
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southEastCorner = .FALSE. |
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northWestCorner = .FALSE. |
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northEastCorner = .FALSE. |
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myTile = W2_myTileList(bi) |
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IF ( exch2_isWedge(myTile) .EQ. 1 .AND. |
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& exch2_isSedge(myTile) .EQ. 1 ) THEN |
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southWestCorner = .TRUE. |
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ENDIF |
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IF ( exch2_isEedge(myTile) .EQ. 1 .AND. |
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& exch2_isSedge(myTile) .EQ. 1 ) THEN |
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southEastCorner = .TRUE. |
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ENDIF |
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IF ( exch2_isEedge(myTile) .EQ. 1 .AND. |
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& exch2_isNedge(myTile) .EQ. 1 ) THEN |
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northEastCorner = .TRUE. |
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ENDIF |
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IF ( exch2_isWedge(myTile) .EQ. 1 .AND. |
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& exch2_isNedge(myTile) .EQ. 1 ) THEN |
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northWestCorner = .TRUE. |
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ENDIF |
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#else |
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southWestCorner = .TRUE. |
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southEastCorner = .TRUE. |
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northWestCorner = .TRUE. |
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northEastCorner = .TRUE. |
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#endif /* ALLOW_EXCH2 */ |
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ENDIF |
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|
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C - Laplacian and bi-harmonic terms |
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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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|
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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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Dim= hDiv( i ,j-1) |
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Dij= hDiv( i , j ) |
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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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Zip= hFacZ( i ,j+1)*vort3( i ,j+1) |
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Zij= hFacZ( i , j )*vort3( i , j ) |
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Zpj= hFacZ(i+1, j )*vort3(i+1, j ) |
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|
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C Special stuff for Cubed Sphere |
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uDij=Dij |
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IF (useCubedSphereExchange) THEN |
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C U(0,1) D(0,1) U(1,1) TILE |
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C | | |
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C V(-1,1) --- Z(0,1) --- V(0,1) --- Z(1,1) --- V(1,1) --- |
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C | | |
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C U(0,0) D(0,0) U(1,0) D(1,0) |
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C | | |
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C --- V(0,0) --- Z(1,0) --- V(1,0) --- |
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C | |
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C U(1,-1) |
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if(southWestCorner.and.i.eq.1.and.j.eq.0) Dmj=hDiv(0,1) |
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if(southWestCorner.and.i.eq.0.and.j.eq.1) Dim=hDiv(1,0) |
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C U(1,N+2) |
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C | |
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C --- V(0,N+1) --- Z(1,N+2) --- V(1,N+2) --- |
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C | | |
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C U(0,N+1) D(0,N+1) U(1,N+1) D(1,N+1) |
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C | | |
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C V(-1,N+1) --- Z(0,N+1) --- V(0,N+1) --- Z(1,N+1) --- V(1,N+1) --- |
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C | | |
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C U(0,N) D(0,N) U(1,N) TILE |
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if(northWestCorner.and.i.eq.1.and.j.eq.sNy+1) Dmj=hDiv(0,sNy) |
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if(northWestCorner.and.i.eq.0.and.j.eq.sNy+1) Dij=hDiv(1,sNy+1) |
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C TILE U(N+1,1) D(N+1,1) U(N+2,1) |
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C | | |
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C V(N,1) --- Z(N+1,1) --- V(N+1,1) --- Z(N+2,1) --- V(N+3,1) --- |
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C | | |
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C D(N,0) U(N+1,0) D(N+1,0) U(N+2,0) |
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C | | |
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C V(N,0) --- Z(N+1,0) --- V(N+1,0) --- |
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C | |
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C U(N+1,-1) |
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if(southEastCorner.and.i.eq.sNx+1.and.j.eq.0) Dij=hDiv(sNx+1,1) |
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if(southEastCorner.and.i.eq.sNx+1.and.j.eq.1) Dim=hDiv(sNx,0) |
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C U(N+1,N+2) |
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C | |
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C V(N,N+2) --- Z(N+1,N+2) --- V(N+1,N+2) --- |
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C | | |
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C D(N,N+1) U(N+1,N+1) D(N+1,N+1) U(N+2,N+1) |
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C | | |
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C V(N,N+1) --- Z(N+1,N+1) --- V(N+1,N+1) --- Z(N+2,N+1) --- V(N+3,N+1) --- |
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C | | |
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C TILE U(N+1,N) D(N+1,N) U(N+2,N) |
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if (northEastCorner.and.i.eq.sNx+1 .and. j.eq.sNy+1) then |
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uDij=hDiv(sNx+1,sNy) |
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Dij=hDiv(sNx,sNy+1) |
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endif |
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ENDIF |
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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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del2u(i,j) = |
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& + ( uDij-Dmj )*recip_DXC(i,j,bi,bj) |
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& -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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del2v(i,j) = |
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& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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& + ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
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|
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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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