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C $Header: /u/gcmpack/MITgcm/pkg/shap_filt/shap_filt_relvort3.F,v 1.7 2009/06/28 01:08:26 jmc Exp $ |
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C $Name: $ |
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|
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#include "SHAP_FILT_OPTIONS.h" |
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#undef CALC_CS_CORNER_EXTENDED |
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|
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SUBROUTINE SHAP_FILT_RELVORT3( |
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I bi,bj,k, |
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I uFld, vFld, hFacZ, |
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O vort3, |
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I myThid) |
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IMPLICIT NONE |
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C *==========================================================* |
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C | S/R SHAP_FILT_RELVORT3 |
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C *==========================================================* |
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C | copied from S/R MOM_CALC_RELVORT3, except: |
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C | a) do not apply any masking |
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C | b) use more uniform rAz at CS-grid corners |
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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 "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#ifdef ALLOW_EXCH2 |
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#include "W2_EXCH2_SIZE.h" |
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#include "W2_EXCH2_TOPOLOGY.h" |
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#endif /* ALLOW_EXCH2 */ |
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C == Routine arguments == |
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C myThid - Instance number for this innvocation of CALC_MOM_RHS |
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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 vFld(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 vort3(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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LOGICAL northWestCorner, northEastCorner, |
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& southWestCorner, southEastCorner |
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INTEGER myFace |
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#ifdef ALLOW_EXCH2 |
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INTEGER myTile |
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#endif /* ALLOW_EXCH2 */ |
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_RL AZcorner |
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|
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#ifdef ALLOW_AUTODIFF |
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DO J=1-OLy,sNy+OLy |
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DO I=1-OLx,sNx+OLx |
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vort3(I,J) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif |
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|
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DO J=2-OLy,sNy+OLy |
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DO I=2-OLx,sNx+OLx |
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|
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C Horizontal curl of flow field - ignoring lopping factors |
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vort3(I,J)= |
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& recip_rAz(I,J,bi,bj)*( |
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& ( vFld(I,J)*dyC(I,J,bi,bj) |
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& -vFld(I-1,J)*dyC(I-1,J,bi,bj) ) |
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& -( uFld(I,J)*dxC(I,J,bi,bj) |
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& -uFld(I,J-1)*dxC(I,J-1,bi,bj) ) |
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& ) |
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|
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C Horizontal curl of flow field - including lopping factors |
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c IF (hFacZ(i,j).NE.0.) THEN |
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c vort3(I,J)= |
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c & recip_rAz(I,J,bi,bj)*( |
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c & vFld(I,J)*dyc(I,J,bi,bj)*_hFacW(i,j,k,bi,bj) |
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c & -vFld(I-1,J)*dyc(I-1,J,bi,bj)*_hFacW(i-1,j,k,bi,bj) |
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c & -uFld(I,J)*dxc(I,J,bi,bj)*_hFacS(i,j,k,bi,bj) |
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c & +uFld(I,J-1)*dxc(I,J-1,bi,bj)*_hFacS(i,j-1,k,bi,bj) |
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c & ) |
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c & /hFacZ(i,j) |
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c ELSE |
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c vort3(I,J)=0. |
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c ENDIF |
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|
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ENDDO |
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ENDDO |
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|
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C RETURN |
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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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AZcorner = 0.75 _d 0 |
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#ifdef ALLOW_EXCH2 |
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myTile = W2_myTileList(bi,bj) |
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myFace = exch2_myFace(myTile) |
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southWestCorner = exch2_isWedge(myTile).EQ.1 |
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& .AND. exch2_isSedge(myTile).EQ.1 |
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southEastCorner = exch2_isEedge(myTile).EQ.1 |
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& .AND. exch2_isSedge(myTile).EQ.1 |
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northEastCorner = exch2_isEedge(myTile).EQ.1 |
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& .AND. exch2_isNedge(myTile).EQ.1 |
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northWestCorner = exch2_isWedge(myTile).EQ.1 |
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& .AND. exch2_isNedge(myTile).EQ.1 |
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#else |
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myFace = bi |
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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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|
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IF ( southWestCorner ) 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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I=1 |
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J=1 |
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C- to get the same truncation, independent from the face Nb, |
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C do (1+2)+3, and always in the same order (exch3 convention order): |
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vort3(I,J)= |
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& +recip_rA(I,J,bi,bj)/AZcorner*( |
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& ( vFld(I,J)*dyC(I,J,bi,bj) |
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& -uFld(I,J)*dxC(I,J,bi,bj) ) |
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& + uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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& ) |
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C- the quick way, but do not get the same truncation on the 3 faces: |
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c vort3(I,J)= |
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c & +recip_rA(I,J,bi,bj)/AZcorner*( |
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c & vFld(I,J)*dyC(I,J,bi,bj) |
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c & -uFld(I,J)*dxC(I,J,bi,bj) |
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c & +uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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c & ) |
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c IF (hFacZ(i,j).EQ.0. _d 0) vort3(i,j) = 0. _d 0 |
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#ifdef CALC_CS_CORNER_EXTENDED |
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vort3(I-1,J)= |
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& recip_rAz(I-1,J,bi,bj)*( |
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& vFld(I-1,J)*dyC(I-1,J,bi,bj) |
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& -vFld(I-2,J)*dyC(I-2,J,bi,bj) |
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& -uFld(I-1,J)*dxC(I-1,J,bi,bj) |
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& +vFld(I+0,J-1)*dyC(I+0,J-1,bi,bj) |
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& ) |
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c & *maskS(i-1,j,k,bi,bj)*maskS(i-2,j,k,bi,bj) |
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c & *maskW(i-1,j,k,bi,bj)*maskS(i,j-1,k,bi,bj) |
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vort3(I,J-1)=vort3(I-1,J) |
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#endif |
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ENDIF |
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|
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IF ( southEastCorner ) THEN |
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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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I=sNx+1 |
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J=1 |
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C- to get the same truncation, independent from the face Nb, |
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C (exch3 convention order): |
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IF ( myFace.EQ.2 ) THEN |
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vort3(I,J)= |
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& +recip_rA(I-1,J,bi,bj)/AZcorner*( |
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& (-uFld(I,J)*dxC(I,J,bi,bj) |
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& -vFld(I-1,J)*dyC(I-1,J,bi,bj) ) |
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& + uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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& ) |
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ELSEIF ( myFace.EQ.4 ) THEN |
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vort3(I,J)= |
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& +recip_rA(I-1,J,bi,bj)/AZcorner*( |
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& (-vFld(I-1,J)*dyC(I-1,J,bi,bj) |
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& +uFld(I,J-1)*dxC(I,J-1,bi,bj) ) |
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& - uFld(I,J)*dxC(I,J,bi,bj) |
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& ) |
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ELSE |
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vort3(I,J)= |
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& +recip_rA(I-1,J,bi,bj)/AZcorner*( |
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& (+uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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& -uFld(I,J)*dxC(I,J,bi,bj) ) |
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& - vFld(I-1,J)*dyC(I-1,J,bi,bj) |
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& ) |
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ENDIF |
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C- the quick way, but do not get the same truncation on the 3 faces: |
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c vort3(I,J)= |
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c & +recip_rA(I-1,J,bi,bj)/AZcorner*( |
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c & -vFld(I-1,J)*dyC(I-1,J,bi,bj) |
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c & -uFld(I,J)*dxC(I,J,bi,bj) |
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c & +uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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c & ) |
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c IF (hFacZ(i,j).EQ.0. _d 0) vort3(i,j) = 0. _d 0 |
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#ifdef CALC_CS_CORNER_EXTENDED |
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vort3(I+1,J)= |
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& recip_rAz(I+1,J,bi,bj)*( |
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& vFld(I+1,J)*dyC(I+1,J,bi,bj) |
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& -vFld(I-0,J)*dyC(I-0,J,bi,bj) |
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& -uFld(I+1,J)*dxC(I+1,J,bi,bj) |
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& -vFld(I-1,J-1)*dyC(I-1,J-1,bi,bj) |
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& ) |
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c & *maskS(i+1,j,k,bi,bj)*maskS(i-0,j,k,bi,bj) |
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c & *maskW(i+1,j,k,bi,bj)*maskS(i-1,j-1,k,bi,bj) |
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vort3(I,J-1)=vort3(I+1,J) |
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#endif |
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ENDIF |
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|
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IF ( northWestCorner ) THEN |
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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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I=1 |
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J=sNy+1 |
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C- to get the same truncation, independent from the face Nb, |
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C (exch3 convention order): |
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IF ( myFace.EQ.1 ) THEN |
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vort3(I,J)= |
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& +recip_rA(I,J-1,bi,bj)/AZcorner*( |
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& (+uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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& +vFld(I,J)*dyC(I,J,bi,bj) ) |
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& -uFld(I,J)*dxC(I,J,bi,bj) |
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& ) |
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ELSEIF ( myFace.EQ.3 ) THEN |
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vort3(I,J)= |
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& +recip_rA(I,J-1,bi,bj)/AZcorner*( |
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& (-uFld(I,J)*dxC(I,J,bi,bj) |
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& +uFld(I,J-1)*dxC(I,J-1,bi,bj) ) |
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& + vFld(I,J)*dyC(I,J,bi,bj) |
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& ) |
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ELSE |
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vort3(I,J)= |
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& +recip_rA(I,J-1,bi,bj)/AZcorner*( |
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& (+vFld(I,J)*dyC(I,J,bi,bj) |
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& -uFld(I,J)*dxC(I,J,bi,bj) ) |
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& + uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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& ) |
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ENDIF |
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C- the quick way, but do not get the same truncation on the 3 faces: |
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c vort3(I,J)= |
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c & +recip_rA(I,J-1,bi,bj)/AZcorner*( |
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c & vFld(I,J)*dyC(I,J,bi,bj) |
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c & -uFld(I,J)*dxC(I,J,bi,bj) |
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c & +uFld(I,J-1)*dxC(I,J-1,bi,bj) |
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c & ) |
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c IF (hFacZ(i,j).EQ.0. _d 0) vort3(i,j) = 0. _d 0 |
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#ifdef CALC_CS_CORNER_EXTENDED |
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vort3(I-1,J)= |
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& recip_rAz(I-1,J,bi,bj)*( |
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& vFld(I-1,J)*dyC(I-1,J,bi,bj) |
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& -vFld(I-2,J)*dyC(I-2,J,bi,bj) |
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& +vFld(I-0,J+1)*dyC(I-0,J+1,bi,bj) |
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& +uFld(I-1,J-1)*dxC(I-1,J-1,bi,bj) |
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& ) |
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c & *maskS(i-1,j,k,bi,bj)*maskS(i-2,j,k,bi,bj) |
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c & *maskS(i,j+1,k,bi,bj)*maskW(i-1,j-1,k,bi,bj) |
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vort3(I,J+1)=vort3(I-1,J) |
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#endif |
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ENDIF |
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|
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IF ( northEastCorner ) THEN |
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C U(N+1,N+2) |
| 270 |
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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I=sNx+1 |
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J=sNy+1 |
| 280 |
C- to get the same truncation, independent from the face Nb: |
| 281 |
C (exch3 convention order): |
| 282 |
IF ( MOD(myFace,2).EQ.1 ) THEN |
| 283 |
vort3(I,J)= |
| 284 |
& +recip_rA(I-1,J-1,bi,bj)/AZcorner*( |
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& (-uFld(I,J)*dxC(I,J,bi,bj) |
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& -vFld(I-1,J)*dyC(I-1,J,bi,bj) ) |
| 287 |
& + uFld(I,J-1)*dxC(I,J-1,bi,bj) |
| 288 |
& ) |
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ELSE |
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vort3(I,J)= |
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& +recip_rA(I-1,J-1,bi,bj)/AZcorner*( |
| 292 |
& (+uFld(I,J-1)*dxC(I,J-1,bi,bj) |
| 293 |
& -uFld(I,J)*dxC(I,J,bi,bj) ) |
| 294 |
& - vFld(I-1,J)*dyC(I-1,J,bi,bj) |
| 295 |
& ) |
| 296 |
ENDIF |
| 297 |
C- the quick way, but do not get the same truncation on the 3 faces: |
| 298 |
c vort3(I,J)= |
| 299 |
c & +recip_rA(I-1,J-1,bi,bj)/AZcorner*( |
| 300 |
c & -vFld(I-1,J)*dyC(I-1,J,bi,bj) |
| 301 |
c & -uFld(I,J)*dxC(I,J,bi,bj) |
| 302 |
c & +uFld(I,J-1)*dxC(I,J-1,bi,bj) |
| 303 |
c & ) |
| 304 |
c IF (hFacZ(i,j).EQ.0. _d 0) vort3(i,j) = 0. _d 0 |
| 305 |
#ifdef CALC_CS_CORNER_EXTENDED |
| 306 |
vort3(I+1,J)= |
| 307 |
& recip_rAz(I+1,J,bi,bj)*( |
| 308 |
& vFld(I+1,J)*dyC(I+1,J,bi,bj) |
| 309 |
& -vFld(I-0,J)*dyC(I-0,J,bi,bj) |
| 310 |
& -vFld(I-1,J+1)*dyC(I-1,J+1,bi,bj) |
| 311 |
& +uFld(I+1,J-1)*dxC(I+1,J-1,bi,bj) |
| 312 |
& ) |
| 313 |
c & *maskS(i+1,j,k,bi,bj)*maskS(i-0,j,k,bi,bj) |
| 314 |
c & *maskS(i-1,j+1,k,bi,bj)*maskW(i+1,j-1,k,bi,bj) |
| 315 |
vort3(I,J+1)=vort3(I+1,J) |
| 316 |
#endif |
| 317 |
ENDIF |
| 318 |
ENDIF |
| 319 |
|
| 320 |
RETURN |
| 321 |
END |
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