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utke |
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C $Header: /u/gcmpack/MITgcm/pkg/monitor/mon_vort3.F,v 1.12 2007/10/15 00:18:40 jmc Exp $ |
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C $Name: $ |
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#include "MONITOR_OPTIONS.h" |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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C !ROUTINE: MON_VORT3 |
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C !INTERFACE: |
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SUBROUTINE MON_VORT3( |
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I myIter, myThid ) |
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C !DESCRIPTION: |
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C Calculates stats for Vorticity (z-component). |
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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 "DYNVARS.h" |
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#include "GRID.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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#include "MONITOR.h" |
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C !INPUT PARAMETERS: |
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INTEGER myIter, myThid |
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CEOP |
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C !LOCAL VARIABLES: |
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INTEGER bi,bj,i,j,k |
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INTEGER iMax,jMax |
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_RL theVol, theArea, tmpVal, tmpAre, tmpVol |
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_RL theMin, theMax, theMean, theVar, volMean, volVar, theSD |
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c _RL areaTile, volTile, sumTile, sqsTile, vSumTile, vSqsTile |
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_RL tileArea(nSx,nSy) |
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_RL tileVol (nSx,nSy) |
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_RL tileSum (nSx,nSy) |
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_RL tileVar (nSx,nSy) |
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_RL tileVSum(nSx,nSy) |
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_RL tileVSq (nSx,nSy) |
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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 AZcorner |
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#ifdef MONITOR_TEST_HFACZ |
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_RL tmpFac |
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_RL etaFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif |
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LOGICAL northWestCorner, northEastCorner |
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LOGICAL southWestCorner, southEastCorner |
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INTEGER iG |
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#ifdef ALLOW_EXCH2 |
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INTEGER myTile |
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#endif |
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theMin = 1. _d 20 |
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theMax =-1. _d 20 |
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theArea= 0. _d 0 |
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theMean= 0. _d 0 |
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theVar = 0. _d 0 |
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theVol = 0. _d 0 |
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volMean= 0. _d 0 |
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volVar = 0. _d 0 |
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theSD = 0. _d 0 |
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AZcorner = 1. _d 0 |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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tileArea(bi,bj)= 0. _d 0 |
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tileVol(bi,bj) = 0. _d 0 |
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tileSum(bi,bj) = 0. _d 0 |
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tileVar(bi,bj) = 0. _d 0 |
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tileVSum(bi,bj)= 0. _d 0 |
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tileVSq(bi,bj) = 0. _d 0 |
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#ifdef MONITOR_TEST_HFACZ |
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tmpFac = 0. |
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IF( implicDiv2Dflow.GT.0 .AND. abEps.GT.-0.5 ) |
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& tmpFac = (0.5+abEps) / implicDiv2Dflow |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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etaFld(i,j) = etaH(i,j,bi,bj) |
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& + tmpFac*(etaN(i,j,bi,bj)-etaH(i,j,bi,bj)) |
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ENDDO |
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ENDDO |
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#endif |
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DO k=1,Nr |
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iMax = sNx |
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jMax = sNy |
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DO j=1,sNy |
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DO i=1,sNx |
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#ifdef MONITOR_TEST_HFACZ |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C- Test various definitions of hFacZ (for 1 layer, flat bottom ocean): |
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c hFacZ(i,j) = 1. + |
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c & 0.25 _d 0*( etaFld(i-1,j-1) |
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c & + etaFld( i ,j-1) |
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c & + etaFld(i-1, j ) |
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c & + etaFld( i , j ) |
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c & )*recip_drF(k) |
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c hFacZ(i,j) = 1. + |
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c & 0.25 _d 0*( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
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c & + etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
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c & + etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
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c & + etaFld( i , j )*rA( i , j ,bi,bj) |
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c & )*recip_drF(k)*recip_rAz(i,j,bi,bj) |
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hFacZ(i,j) = 1. + 0.125 _d 0* |
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& ( ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
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& +etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
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& )*recip_rAw(i,j-1,bi,bj) |
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& + ( etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
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& +etaFld( i , j )*rA( i , j ,bi,bj) |
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& )*recip_rAw(i, j ,bi,bj) |
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& + ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
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& +etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
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& )*recip_rAs(i-1,j,bi,bj) |
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& + ( etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
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& + etaFld( i , j )*rA( i , j ,bi,bj) |
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& )*recip_rAs( i ,j,bi,bj) |
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& )*recip_drF(k) |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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#else |
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C- Standard definition of hFac at vorticity point: |
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hFacZ(i,j) = |
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& 0.25 _d 0*( _hFacW(i,j-1,k,bi,bj) |
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& + _hFacW(i, j ,k,bi,bj) |
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& + _hFacS(i-1,j,k,bi,bj) |
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& + _hFacS( i ,j,k,bi,bj) |
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& ) |
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#endif /* MONITOR_TEST_HFACZ */ |
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vort3(i,j) = recip_rAz(i,j,bi,bj)*( |
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& vVel( i ,j,k,bi,bj)%v*dyC( i ,j,bi,bj) |
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& -vVel(i-1,j,k,bi,bj)%v*dyC(i-1,j,bi,bj) |
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& -uVel(i, j ,k,bi,bj)%v*dxC(i, j ,bi,bj) |
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& +uVel(i,j-1,k,bi,bj)%v*dxC(i,j-1,bi,bj) |
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& ) |
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ENDDO |
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ENDDO |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C Special stuff for Cubed Sphere: |
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IF (useCubedSphereExchange) THEN |
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c AZcorner = 0.75 _d 0 |
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iMax = sNx+1 |
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jMax = sNy+1 |
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DO i=1,iMax |
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hFacZ(i,jMax)=0. |
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vort3(i,jMax)=0. |
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ENDDO |
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DO j=1,jMax |
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hFacZ(iMax,j)=0. |
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vort3(iMax,j)=0. |
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ENDDO |
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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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iG = bi+(myXGlobalLo-1)/sNx |
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#ifdef ALLOW_EXCH2 |
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myTile = W2_myTileList(bi) |
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iG = 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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#endif /* ALLOW_EXCH2 */ |
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C-- avoid to count 3 times the same corner: |
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southEastCorner = southEastCorner .AND. iG.EQ.2 |
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northWestCorner = northWestCorner .AND. iG.EQ.1 |
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northEastCorner = .FALSE. |
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C-- S.W. corner: |
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IF ( southWestCorner ) THEN |
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i=1 |
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j=1 |
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vort3(i,j)= |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
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& vVel(i,j,k,bi,bj)%v*dyC(i,j,bi,bj) |
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& -uVel(i,j,k,bi,bj)%v*dxC(i,j,bi,bj) |
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& +uVel(i,j-1,k,bi,bj)%v*dxC(i,j-1,bi,bj) |
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& ) |
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hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
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& + _hFacW(i, j ,k,bi,bj) |
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& + _hFacS( i ,j,k,bi,bj) |
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& )/3. _d 0 |
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ENDIF |
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IF ( southEastCorner ) THEN |
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C-- S.E. corner: |
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i=iMax |
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j=1 |
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vort3(i,j)= |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
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& -vVel(i-1,j,k,bi,bj)%v*dyC(i-1,j,bi,bj) |
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& -uVel(i,j,k,bi,bj)%v*dxC(i,j,bi,bj) |
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& +uVel(i,j-1,k,bi,bj)%v*dxC(i,j-1,bi,bj) |
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& ) |
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hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
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& + _hFacW(i, j ,k,bi,bj) |
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& + _hFacS(i-1,j,k,bi,bj) |
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& )/3. _d 0 |
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ENDIF |
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IF ( northWestCorner ) THEN |
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C-- N.W. corner: |
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i=1 |
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j=jMax |
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vort3(i,j)= |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
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& vVel(i,j,k,bi,bj)%v*dyC(i,j,bi,bj) |
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& -uVel(i,j,k,bi,bj)%v*dxC(i,j,bi,bj) |
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& +uVel(i,j-1,k,bi,bj)%v*dxC(i,j-1,bi,bj) |
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& ) |
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hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
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& + _hFacW(i, j ,k,bi,bj) |
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& + _hFacS( i ,j,k,bi,bj) |
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& )/3. _d 0 |
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ENDIF |
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IF ( northEastCorner ) THEN |
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C-- N.E. corner: |
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i=iMax |
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j=jMax |
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vort3(i,j)= |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
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& -vVel(i-1,j,k,bi,bj)%v*dyC(i-1,j,bi,bj) |
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& -uVel(i,j,k,bi,bj)%v*dxC(i,j,bi,bj) |
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& +uVel(i,j-1,k,bi,bj)%v*dxC(i,j-1,bi,bj) |
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& ) |
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hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
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& + _hFacW(i, j ,k,bi,bj) |
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& + _hFacS(i-1,j,k,bi,bj) |
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& )/3. _d 0 |
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ENDIF |
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ENDIF |
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C- Special stuff for North & South Poles, LatLon grid |
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IF ( usingSphericalPolarGrid ) THEN |
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IF (yG(1,sNy+1,bi,bj).EQ.90.) THEN |
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jMax = sNy+1 |
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j = jMax |
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DO i=1,sNx |
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vort3(i,j) = 0. |
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vort3(1,j) = vort3(1,j) |
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& + uVel(i,j-1,k,bi,bj)%v*dxC(i,j-1,bi,bj) |
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hFacZ(i,j) = 0. |
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#ifndef MONITOR_TEST_HFACZ |
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hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j-1,k,bi,bj) |
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ENDDO |
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#else |
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hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j-1) |
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ENDDO |
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hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
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#endif |
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hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
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vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
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ENDIF |
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IF (yG(1,1,bi,bj).EQ.-90.) THEN |
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j = 1 |
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DO i=1,sNx |
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vort3(i,j) = 0. |
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vort3(1,j) = vort3(1,j) |
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& - uVel(i,j,k,bi,bj)%v*dxC(i,j,bi,bj) |
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hFacZ(i,j) = 0. |
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#ifndef MONITOR_TEST_HFACZ |
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hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j,k,bi,bj) |
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ENDDO |
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#else |
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hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j) |
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ENDDO |
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hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
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#endif |
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hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
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vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
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ENDIF |
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ENDIF |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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DO j=1,jMax |
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DO i=1,iMax |
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IF (hFacZ(i,j).GT.0. _d 0) THEN |
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tmpVal = vort3(i,j) |
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tmpAre = rAz(i,j,bi,bj)*drF(k) |
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tmpVol = rAz(i,j,bi,bj)*drF(k)*hFacZ(i,j) |
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tileArea(bi,bj) = tileArea(bi,bj) + tmpAre |
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C- min,max of relative vorticity ("r") |
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theMin = MIN(theMin,tmpVal) |
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theMax = MAX(theMax,tmpVal) |
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C- average & std.dev of absolute vorticity ("a") |
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tmpVal = tmpVal + fCoriG(i,j,bi,bj) |
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tileSum(bi,bj) = tileSum(bi,bj) + tmpAre*tmpVal |
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tileVar(bi,bj) = tileVar(bi,bj) + tmpAre*tmpVal*tmpVal |
| 301 |
|
|
C- average & std.dev of potential vorticity ("p") |
| 302 |
|
|
tmpVal = tmpVal / hFacZ(i,j) |
| 303 |
|
|
tileVol(bi,bj) = tileVol(bi,bj) + tmpVol |
| 304 |
|
|
tileVSum(bi,bj)= tileVSum(bi,bj)+ tmpVol*tmpVal |
| 305 |
|
|
tileVSq(bi,bj) = tileVSq(bi,bj) + tmpVol*tmpVal*tmpVal |
| 306 |
|
|
ENDIF |
| 307 |
|
|
ENDDO |
| 308 |
|
|
ENDDO |
| 309 |
|
|
|
| 310 |
|
|
ENDDO |
| 311 |
|
|
c theArea= theArea + tileArea(bi,bj) |
| 312 |
|
|
c theVol = theVol + tileVol (bi,bj) |
| 313 |
|
|
c theMean= theMean + tileSum(bi,bj) |
| 314 |
|
|
c theVar = theVar + tileVar(bi,bj) |
| 315 |
|
|
c volMean= volMean + tileVSum(bi,bj) |
| 316 |
|
|
c volVar = volVar + tileVSq(bi,bj) |
| 317 |
|
|
ENDDO |
| 318 |
|
|
ENDDO |
| 319 |
|
|
|
| 320 |
|
|
theMin = -theMin |
| 321 |
|
|
_GLOBAL_MAX_R8(theMin, myThid) |
| 322 |
|
|
_GLOBAL_MAX_R8(theMax, myThid) |
| 323 |
|
|
theMin = -theMin |
| 324 |
|
|
c _GLOBAL_SUM_R8(theArea,myThid) |
| 325 |
|
|
c _GLOBAL_SUM_R8(theVol, myThid) |
| 326 |
|
|
c _GLOBAL_SUM_R8(theMean,myThid) |
| 327 |
|
|
c _GLOBAL_SUM_R8(theVar, myThid) |
| 328 |
|
|
c _GLOBAL_SUM_R8(volMean,myThid) |
| 329 |
|
|
c _GLOBAL_SUM_R8(volVar ,myThid) |
| 330 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileArea, theArea, myThid ) |
| 331 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileVol, theVol, myThid ) |
| 332 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileSum, theMean, myThid ) |
| 333 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileVar, theVar, myThid ) |
| 334 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileVSum, volMean, myThid ) |
| 335 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileVSq, volVar, myThid ) |
| 336 |
|
|
IF (theArea.GT.0.) THEN |
| 337 |
|
|
theMean= theMean/theArea |
| 338 |
|
|
theVar = theVar /theArea |
| 339 |
|
|
theVar = theVar - theMean*theMean |
| 340 |
|
|
c IF (theVar.GT.0.) theSD = SQRT(theVar) |
| 341 |
|
|
IF (theVar.GT.0.) theVar = SQRT(theVar) |
| 342 |
|
|
ENDIF |
| 343 |
|
|
IF (theVol.GT.0.) THEN |
| 344 |
|
|
volMean= volMean/theVol |
| 345 |
|
|
volVar = volVar /theVol |
| 346 |
|
|
volVar = volVar - volMean*volMean |
| 347 |
|
|
IF (volVar.GT.0.) theSD = SQRT(volVar) |
| 348 |
|
|
ENDIF |
| 349 |
|
|
|
| 350 |
|
|
C- Print stats for (relative/absolute) Vorticity AND Pot.Vort. |
| 351 |
|
|
CALL MON_SET_PREF('vort',myThid) |
| 352 |
|
|
CALL MON_OUT_RL(mon_string_none,theMin, '_r_min', myThid) |
| 353 |
|
|
CALL MON_OUT_RL(mon_string_none,theMax, '_r_max', myThid) |
| 354 |
|
|
CALL MON_OUT_RL(mon_string_none,theMean,'_a_mean', myThid) |
| 355 |
|
|
CALL MON_OUT_RL(mon_string_none,theVar, '_a_sd', myThid) |
| 356 |
|
|
CALL MON_OUT_RL(mon_string_none,volMean,'_p_mean', myThid) |
| 357 |
|
|
CALL MON_OUT_RL(mon_string_none,theSD, '_p_sd', myThid) |
| 358 |
|
|
c CALL MON_OUT_RL(mon_string_none,theVol,mon_foot_vol,myThid) |
| 359 |
|
|
|
| 360 |
|
|
RETURN |
| 361 |
|
|
END |
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