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jmc |
1.15 |
C $Header: /u/gcmpack/MITgcm/pkg/monitor/mon_vort3.F,v 1.14 2009/05/12 19:56:36 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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adcroft |
1.2 |
#include "MONITOR_OPTIONS.h" |
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jmc |
1.1 |
|
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edhill |
1.8 |
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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jmc |
1.1 |
SUBROUTINE MON_VORT3( |
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edhill |
1.8 |
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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jmc |
1.1 |
IMPLICIT NONE |
| 19 |
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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 "MONITOR.h" |
| 24 |
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#include "GRID.h" |
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adcroft |
1.6 |
#ifdef ALLOW_EXCH2 |
| 26 |
jmc |
1.14 |
#include "W2_EXCH2_SIZE.h" |
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afe |
1.3 |
#include "W2_EXCH2_TOPOLOGY.h" |
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adcroft |
1.6 |
#endif /* ALLOW_EXCH2 */ |
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jmc |
1.1 |
|
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edhill |
1.8 |
C !INPUT PARAMETERS: |
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jmc |
1.1 |
INTEGER myIter, myThid |
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edhill |
1.8 |
CEOP |
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jmc |
1.1 |
|
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edhill |
1.8 |
C !LOCAL VARIABLES: |
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jmc |
1.1 |
INTEGER bi,bj,i,j,k |
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INTEGER iMax,jMax |
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jmc |
1.9 |
_RL theVol, theArea, tmpVal, tmpAre, tmpVol |
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jmc |
1.1 |
_RL theMin, theMax, theMean, theVar, volMean, volVar, theSD |
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jmc |
1.12 |
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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jmc |
1.1 |
_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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jmc |
1.12 |
LOGICAL northWestCorner, northEastCorner |
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LOGICAL southWestCorner, southEastCorner |
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jmc |
1.11 |
INTEGER iG |
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#ifdef ALLOW_EXCH2 |
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INTEGER myTile |
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#endif |
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jmc |
1.1 |
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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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jmc |
1.12 |
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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jmc |
1.1 |
#ifdef MONITOR_TEST_HFACZ |
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tmpFac = 0. |
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jmc |
1.12 |
IF( implicDiv2Dflow.GT.0 .AND. abEps.GT.-0.5 ) |
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jmc |
1.1 |
& 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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jmc |
1.12 |
c & 0.25 _d 0*( etaFld(i-1,j-1) |
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jmc |
1.1 |
c & + etaFld( i ,j-1) |
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jmc |
1.12 |
c & + etaFld(i-1, j ) |
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c & + etaFld( i , j ) |
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jmc |
1.1 |
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) |
| 107 |
jmc |
1.12 |
c & + etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
| 108 |
jmc |
1.1 |
c & + etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
| 109 |
jmc |
1.12 |
c & + etaFld( i , j )*rA( i , j ,bi,bj) |
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jmc |
1.1 |
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) |
| 113 |
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& +etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
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jmc |
1.12 |
& )*recip_rAw(i,j-1,bi,bj) |
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jmc |
1.1 |
& + ( etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
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jmc |
1.12 |
& +etaFld( i , j )*rA( i , j ,bi,bj) |
| 117 |
jmc |
1.1 |
& )*recip_rAw(i, j ,bi,bj) |
| 118 |
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& + ( etaFld(i-1,j-1)*rA(i-1,j-1,bi,bj) |
| 119 |
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& +etaFld(i-1, j )*rA(i-1, j ,bi,bj) |
| 120 |
jmc |
1.12 |
& )*recip_rAs(i-1,j,bi,bj) |
| 121 |
jmc |
1.1 |
& + ( etaFld( i ,j-1)*rA( i ,j-1,bi,bj) |
| 122 |
jmc |
1.12 |
& + etaFld( i , j )*rA( i , j ,bi,bj) |
| 123 |
jmc |
1.1 |
& )*recip_rAs( i ,j,bi,bj) |
| 124 |
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& )*recip_drF(k) |
| 125 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 126 |
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#else |
| 127 |
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C- Standard definition of hFac at vorticity point: |
| 128 |
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hFacZ(i,j) = |
| 129 |
jmc |
1.12 |
& 0.25 _d 0*( _hFacW(i,j-1,k,bi,bj) |
| 130 |
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& + _hFacW(i, j ,k,bi,bj) |
| 131 |
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& + _hFacS(i-1,j,k,bi,bj) |
| 132 |
jmc |
1.1 |
& + _hFacS( i ,j,k,bi,bj) |
| 133 |
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& ) |
| 134 |
jmc |
1.12 |
#endif /* MONITOR_TEST_HFACZ */ |
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jmc |
1.1 |
vort3(i,j) = recip_rAz(i,j,bi,bj)*( |
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& vVel( i ,j,k,bi,bj)*dyC( i ,j,bi,bj) |
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& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
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& -uVel(i, j ,k,bi,bj)*dxC(i, j ,bi,bj) |
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& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
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jmc |
1.12 |
& ) |
| 141 |
jmc |
1.1 |
ENDDO |
| 142 |
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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: |
| 146 |
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IF (useCubedSphereExchange) THEN |
| 147 |
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c AZcorner = 0.75 _d 0 |
| 148 |
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iMax = sNx+1 |
| 149 |
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jMax = sNy+1 |
| 150 |
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DO i=1,iMax |
| 151 |
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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 |
| 155 |
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hFacZ(iMax,j)=0. |
| 156 |
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vort3(iMax,j)=0. |
| 157 |
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ENDDO |
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jmc |
1.5 |
|
| 159 |
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southWestCorner = .TRUE. |
| 160 |
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southEastCorner = .TRUE. |
| 161 |
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northWestCorner = .TRUE. |
| 162 |
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northEastCorner = .TRUE. |
| 163 |
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iG = bi+(myXGlobalLo-1)/sNx |
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adcroft |
1.6 |
#ifdef ALLOW_EXCH2 |
| 165 |
jmc |
1.15 |
myTile = W2_myTileList(bi,bj) |
| 166 |
jmc |
1.5 |
iG = exch2_myFace(myTile) |
| 167 |
jmc |
1.12 |
southWestCorner = exch2_isWedge(myTile).EQ.1 |
| 168 |
jmc |
1.5 |
& .AND. exch2_isSedge(myTile).EQ.1 |
| 169 |
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southEastCorner = exch2_isEedge(myTile).EQ.1 |
| 170 |
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& .AND. exch2_isSedge(myTile).EQ.1 |
| 171 |
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northEastCorner = exch2_isEedge(myTile).EQ.1 |
| 172 |
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& .AND. exch2_isNedge(myTile).EQ.1 |
| 173 |
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northWestCorner = exch2_isWedge(myTile).EQ.1 |
| 174 |
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& .AND. exch2_isNedge(myTile).EQ.1 |
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adcroft |
1.6 |
#endif /* ALLOW_EXCH2 */ |
| 176 |
jmc |
1.5 |
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| 177 |
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C-- avoid to count 3 times the same corner: |
| 178 |
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southEastCorner = southEastCorner .AND. iG.EQ.2 |
| 179 |
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northWestCorner = northWestCorner .AND. iG.EQ.1 |
| 180 |
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northEastCorner = .FALSE. |
| 181 |
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| 182 |
afe |
1.3 |
C-- S.W. corner: |
| 183 |
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IF ( southWestCorner ) THEN |
| 184 |
jmc |
1.1 |
i=1 |
| 185 |
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j=1 |
| 186 |
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vort3(i,j)= |
| 187 |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
| 188 |
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& vVel(i,j,k,bi,bj)*dyC(i,j,bi,bj) |
| 189 |
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& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
| 190 |
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& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
| 191 |
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& ) |
| 192 |
jmc |
1.12 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
| 193 |
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& + _hFacW(i, j ,k,bi,bj) |
| 194 |
jmc |
1.1 |
& + _hFacS( i ,j,k,bi,bj) |
| 195 |
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& )/3. _d 0 |
| 196 |
afe |
1.3 |
ENDIF |
| 197 |
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IF ( southEastCorner ) THEN |
| 198 |
jmc |
1.1 |
C-- S.E. corner: |
| 199 |
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i=iMax |
| 200 |
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j=1 |
| 201 |
jmc |
1.12 |
vort3(i,j)= |
| 202 |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
| 203 |
jmc |
1.1 |
& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
| 204 |
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& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
| 205 |
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& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
| 206 |
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& ) |
| 207 |
jmc |
1.12 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
| 208 |
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& + _hFacW(i, j ,k,bi,bj) |
| 209 |
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& + _hFacS(i-1,j,k,bi,bj) |
| 210 |
jmc |
1.1 |
& )/3. _d 0 |
| 211 |
afe |
1.3 |
ENDIF |
| 212 |
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IF ( northWestCorner ) THEN |
| 213 |
jmc |
1.1 |
C-- N.W. corner: |
| 214 |
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i=1 |
| 215 |
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j=jMax |
| 216 |
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vort3(i,j)= |
| 217 |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
| 218 |
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& vVel(i,j,k,bi,bj)*dyC(i,j,bi,bj) |
| 219 |
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& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
| 220 |
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& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
| 221 |
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& ) |
| 222 |
jmc |
1.12 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
| 223 |
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& + _hFacW(i, j ,k,bi,bj) |
| 224 |
jmc |
1.1 |
& + _hFacS( i ,j,k,bi,bj) |
| 225 |
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& )/3. _d 0 |
| 226 |
afe |
1.3 |
ENDIF |
| 227 |
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IF ( northEastCorner ) THEN |
| 228 |
jmc |
1.1 |
C-- N.E. corner: |
| 229 |
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i=iMax |
| 230 |
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j=jMax |
| 231 |
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vort3(i,j)= |
| 232 |
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& +recip_rAz(i,j,bi,bj)/AZcorner*( |
| 233 |
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& -vVel(i-1,j,k,bi,bj)*dyC(i-1,j,bi,bj) |
| 234 |
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& -uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
| 235 |
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& +uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
| 236 |
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& ) |
| 237 |
jmc |
1.12 |
hFacZ(i,j) = ( _hFacW(i,j-1,k,bi,bj) |
| 238 |
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& + _hFacW(i, j ,k,bi,bj) |
| 239 |
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& + _hFacS(i-1,j,k,bi,bj) |
| 240 |
jmc |
1.1 |
& )/3. _d 0 |
| 241 |
afe |
1.3 |
ENDIF |
| 242 |
jmc |
1.1 |
ENDIF |
| 243 |
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| 244 |
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C- Special stuff for North & South Poles, LatLon grid |
| 245 |
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IF ( usingSphericalPolarGrid ) THEN |
| 246 |
|
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IF (yG(1,sNy+1,bi,bj).EQ.90.) THEN |
| 247 |
|
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jMax = sNy+1 |
| 248 |
|
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j = jMax |
| 249 |
|
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DO i=1,sNx |
| 250 |
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vort3(i,j) = 0. |
| 251 |
|
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vort3(1,j) = vort3(1,j) |
| 252 |
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& + uVel(i,j-1,k,bi,bj)*dxC(i,j-1,bi,bj) |
| 253 |
|
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hFacZ(i,j) = 0. |
| 254 |
|
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#ifndef MONITOR_TEST_HFACZ |
| 255 |
jmc |
1.12 |
hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j-1,k,bi,bj) |
| 256 |
jmc |
1.1 |
ENDDO |
| 257 |
|
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#else |
| 258 |
jmc |
1.12 |
hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j-1) |
| 259 |
jmc |
1.1 |
ENDDO |
| 260 |
|
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hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
| 261 |
|
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#endif |
| 262 |
|
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hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
| 263 |
|
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vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
| 264 |
|
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ENDIF |
| 265 |
|
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IF (yG(1,1,bi,bj).EQ.-90.) THEN |
| 266 |
|
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j = 1 |
| 267 |
|
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DO i=1,sNx |
| 268 |
|
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vort3(i,j) = 0. |
| 269 |
|
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vort3(1,j) = vort3(1,j) |
| 270 |
|
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& - uVel(i,j,k,bi,bj)*dxC(i,j,bi,bj) |
| 271 |
|
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hFacZ(i,j) = 0. |
| 272 |
|
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#ifndef MONITOR_TEST_HFACZ |
| 273 |
jmc |
1.12 |
hFacZ(1,j) = hFacZ(1,j) + _hFacW(i,j,k,bi,bj) |
| 274 |
jmc |
1.1 |
ENDDO |
| 275 |
|
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#else |
| 276 |
jmc |
1.12 |
hFacZ(1,j) = hFacZ(1,j) + etaFld(i,j) |
| 277 |
jmc |
1.1 |
ENDDO |
| 278 |
|
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hFacZ(1,j) = sNx + hFacZ(1,j)*recip_drF(k) |
| 279 |
|
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#endif |
| 280 |
|
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hFacZ(1,j) = hFacZ(1,j) / FLOAT(sNx) |
| 281 |
|
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vort3(1,j) = vort3(1,j)*recip_rAz(1,j,bi,bj) |
| 282 |
|
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ENDIF |
| 283 |
|
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ENDIF |
| 284 |
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| 285 |
|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 286 |
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| 287 |
jmc |
1.12 |
DO j=1,jMax |
| 288 |
|
|
DO i=1,iMax |
| 289 |
jmc |
1.1 |
IF (hFacZ(i,j).GT.0. _d 0) THEN |
| 290 |
|
|
tmpVal = vort3(i,j) |
| 291 |
|
|
tmpAre = rAz(i,j,bi,bj)*drF(k) |
| 292 |
|
|
tmpVol = rAz(i,j,bi,bj)*drF(k)*hFacZ(i,j) |
| 293 |
jmc |
1.12 |
tileArea(bi,bj) = tileArea(bi,bj) + tmpAre |
| 294 |
jmc |
1.1 |
C- min,max of relative vorticity ("r") |
| 295 |
|
|
theMin = MIN(theMin,tmpVal) |
| 296 |
|
|
theMax = MAX(theMax,tmpVal) |
| 297 |
|
|
C- average & std.dev of absolute vorticity ("a") |
| 298 |
|
|
tmpVal = tmpVal + fCoriG(i,j,bi,bj) |
| 299 |
jmc |
1.12 |
tileSum(bi,bj) = tileSum(bi,bj) + tmpAre*tmpVal |
| 300 |
|
|
tileVar(bi,bj) = tileVar(bi,bj) + tmpAre*tmpVal*tmpVal |
| 301 |
jmc |
1.1 |
C- average & std.dev of potential vorticity ("p") |
| 302 |
|
|
tmpVal = tmpVal / hFacZ(i,j) |
| 303 |
jmc |
1.12 |
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 |
jmc |
1.1 |
ENDIF |
| 307 |
|
|
ENDDO |
| 308 |
|
|
ENDDO |
| 309 |
|
|
|
| 310 |
|
|
ENDDO |
| 311 |
jmc |
1.12 |
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 |
jmc |
1.1 |
ENDDO |
| 318 |
|
|
ENDDO |
| 319 |
|
|
|
| 320 |
|
|
theMin = -theMin |
| 321 |
jmc |
1.13 |
_GLOBAL_MAX_RL(theMin, myThid) |
| 322 |
|
|
_GLOBAL_MAX_RL(theMax, myThid) |
| 323 |
jmc |
1.1 |
theMin = -theMin |
| 324 |
jmc |
1.13 |
c _GLOBAL_SUM_RL(theArea,myThid) |
| 325 |
|
|
c _GLOBAL_SUM_RL(theVol, myThid) |
| 326 |
|
|
c _GLOBAL_SUM_RL(theMean,myThid) |
| 327 |
|
|
c _GLOBAL_SUM_RL(theVar, myThid) |
| 328 |
|
|
c _GLOBAL_SUM_RL(volMean,myThid) |
| 329 |
|
|
c _GLOBAL_SUM_RL(volVar ,myThid) |
| 330 |
jmc |
1.12 |
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 |
jmc |
1.1 |
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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