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C $Header: /u/gcmpack/MITgcm/pkg/monitor/mon_ke.F,v 1.23 2012/12/26 23:57:46 jmc Exp $ |
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C $Name: $ |
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|
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#include "MONITOR_OPTIONS.h" |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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C !ROUTINE: MON_KE |
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|
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C !INTERFACE: |
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SUBROUTINE MON_KE( |
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I myIter, myThid ) |
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|
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C !DESCRIPTION: |
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C Calculates stats for Kinetic Energy, (barotropic) Potential Energy |
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C and total Angular Momentum |
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|
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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 "MONITOR.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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|
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C !INPUT PARAMETERS: |
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INTEGER myIter, myThid |
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CEOP |
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|
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C !LOCAL VARIABLES: |
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INTEGER bi, bj |
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INTEGER i,j,k |
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INTEGER ks, kp1 |
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_RL numPnts,theVol,tmpVal, mskp1, msk_1 |
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_RL abFac1, abFac2, R_drK, cosLat |
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_RL theMax,theMean,theVolMean,potEnMean |
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_RL totAMu, totAMs |
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_RL tileMean(nSx,nSy) |
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_RL tileVlAv(nSx,nSy) |
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_RL tilePEav(nSx,nSy) |
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_RL tileVol (nSx,nSy) |
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_RL tileAMu (nSx,nSy) |
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_RL tileAMs (nSx,nSy) |
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_RL tmpFld(1:sNx,1:sNy) |
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_RS cos2LatG(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#ifdef ALLOW_NONHYDROSTATIC |
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_RL tmpWke |
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#endif |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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INTEGER m1, m2 |
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#endif |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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numPnts=0. |
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theVol=0. |
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theMax=0. |
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theMean=0. |
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theVolMean=0. |
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potEnMean =0. |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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tileVol(bi,bj) = 0. _d 0 |
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tileMean(bi,bj) = 0. _d 0 |
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tileVlAv(bi,bj) = 0. _d 0 |
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tilePEav(bi,bj) = 0. _d 0 |
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DO k=1,Nr |
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kp1 = MIN(k+1,Nr) |
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mskp1 = 1. |
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IF ( k.GE.Nr ) mskp1 = 0. |
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C- Note: Present NH implementation does not account for D.w/dt at k=1. |
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C Consequently, wVel(k=1) does not contribute to NH KE (msk_1=0). |
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msk_1 = 1. |
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IF ( k.EQ.1 .AND. selectNHfreeSurf.LE.0 ) msk_1 = 0. |
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DO j=1,sNy |
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DO i=1,sNx |
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tileVol(bi,bj) = tileVol(bi,bj) |
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& + rA(i,j,bi,bj)*deepFac2C(k) |
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& *rhoFacC(k)*drF(k)*_hFacC(i,j,k,bi,bj) |
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& *maskInC(i,j,bi,bj) |
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|
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C- Vector Invariant form (like in pkg/mom_vecinv/mom_vi_calc_ke.F) |
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c tmpVal=0.25*( uVel( i , j ,k,bi,bj)*uVel( i , j ,k,bi,bj) |
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c & +uVel(i+1, j ,k,bi,bj)*uVel(i+1, j ,k,bi,bj) |
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c & +vVel( i , j ,k,bi,bj)*vVel( i , j ,k,bi,bj) |
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c & +vVel( i ,j+1,k,bi,bj)*vVel( i ,j+1,k,bi,bj) ) |
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c tileVlAv(bi,bj) = tileVlAv(bi,bj) |
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c & +tmpVal*rA(i,j,bi,bj)*drF(k)*hFacC(i,j,k,bi,bj) |
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|
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C- Energy conservative form (like in pkg/mom_fluxform/mom_calc_ke.F) |
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C this is the safe way to check the energy conservation |
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C with no assumption on how grid spacing & area are defined. |
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tmpVal=0.25*( |
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& uVel( i ,j,k,bi,bj)*uVel( i ,j,k,bi,bj) |
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& *dyG( i ,j,bi,bj)*dxC( i ,j,bi,bj)*_hFacW( i ,j,k,bi,bj) |
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& +uVel(i+1,j,k,bi,bj)*uVel(i+1,j,k,bi,bj) |
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& *dyG(i+1,j,bi,bj)*dxC(i+1,j,bi,bj)*_hFacW(i+1,j,k,bi,bj) |
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& +vVel(i, j ,k,bi,bj)*vVel(i, j ,k,bi,bj) |
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& *dxG(i, j ,bi,bj)*dyC(i, j ,bi,bj)*_hFacS(i, j ,k,bi,bj) |
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& +vVel(i,j+1,k,bi,bj)*vVel(i,j+1,k,bi,bj) |
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& *dxG(i,j+1,bi,bj)*dyC(i,j+1,bi,bj)*_hFacS(i,j+1,k,bi,bj) |
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& )*maskInC(i,j,bi,bj) |
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tileVlAv(bi,bj) = tileVlAv(bi,bj) |
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& + tmpVal*deepFac2C(k)*rhoFacC(k)*drF(k) |
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tmpVal= tmpVal*_recip_hFacC(i,j,k,bi,bj)*recip_rA(i,j,bi,bj) |
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|
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#ifdef ALLOW_NONHYDROSTATIC |
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IF ( nonHydrostatic ) THEN |
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tmpWke = 0.25* |
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& ( wVel(i,j, k, bi,bj)*wVel(i,j, k, bi,bj)*msk_1 |
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& *deepFac2F( k )*rhoFacF( k ) |
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& +wVel(i,j,kp1,bi,bj)*wVel(i,j,kp1,bi,bj)*mskp1 |
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& *deepFac2F(kp1)*rhoFacF(kp1) |
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& )*maskC(i,j,k,bi,bj)*maskInC(i,j,bi,bj) |
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tileVlAv(bi,bj) = tileVlAv(bi,bj) |
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& + tmpWke*rA(i,j,bi,bj)*drF(k)*_hFacC(i,j,k,bi,bj) |
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tmpVal = tmpVal |
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& + tmpWke*recip_deepFac2C(k)*recip_rhoFacC(k) |
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ENDIF |
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#endif |
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|
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theMax=MAX(theMax,tmpVal) |
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IF (tmpVal.NE.0.) THEN |
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tileMean(bi,bj)=tileMean(bi,bj)+tmpVal |
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numPnts=numPnts+1. |
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ENDIF |
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|
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ENDDO |
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ENDDO |
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ENDDO |
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C- Potential Energy (external mode): |
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DO j=1,sNy |
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DO i=1,sNx |
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tmpVal = 0.5 _d 0*Bo_surf(i,j,bi,bj) |
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& *etaN(i,j,bi,bj)*etaN(i,j,bi,bj) |
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C- jmc: if geoid not flat (phi0surf), needs to add this term. |
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C not sure for atmos/ocean in P ; or atmos. loading in ocean-Z |
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tmpVal = tmpVal |
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& + phi0surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
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tilePEav(bi,bj) = tilePEav(bi,bj) |
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& + tmpVal*rA(i,j,bi,bj)*deepFac2F(1) |
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& *maskInC(i,j,bi,bj) |
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c tmpVal = etaN(i,j,bi,bj) |
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c & + phi0surf(i,j,bi,bj)*recip_Bo(i,j,bi,bj) |
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c tilePEav(bi,bj) = tilePEav(bi,bj) |
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c & + 0.5 _d 0*Bo_surf(i,j,bi,bj)*tmpVal*tmpVal |
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c & *rA(i,j,bi,bj)*maskInC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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C- end bi,bj loops |
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ENDDO |
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ENDDO |
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_GLOBAL_SUM_RL(numPnts,myThid) |
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_GLOBAL_MAX_RL(theMax,myThid) |
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CALL GLOBAL_SUM_TILE_RL( tileMean, theMean , myThid ) |
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CALL GLOBAL_SUM_TILE_RL( tileVol , theVol , myThid ) |
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CALL GLOBAL_SUM_TILE_RL( tileVlAv, theVolMean, myThid ) |
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CALL GLOBAL_SUM_TILE_RL( tilePEav, potEnMean , myThid ) |
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IF (numPnts.NE.0.) theMean=theMean/numPnts |
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IF (theVol.NE.0.) THEN |
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theVolMean=theVolMean/theVol |
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potEnMean = potEnMean/theVol |
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ENDIF |
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|
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C-- Compute total angular momentum |
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IF ( mon_output_AM ) THEN |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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C- Calculate contribution from zonal velocity |
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abFac1 = 0. _d 0 |
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abFac2 = 0. _d 0 |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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m1 = 1 + mod(myIter+1,2) |
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m2 = 1 + mod( myIter ,2) |
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IF ( myIter.GE.2 ) abFac2 = beta_AB |
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IF ( myIter.GE.1 ) abFac1 = -( alph_AB + abFac2 ) |
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#else |
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IF ( myIter.GE.1 ) abFac1 = -( 0.5 _d 0 + abEps ) |
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#endif |
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C- contribution from uVel component: 1rst integrate vertically |
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DO j=1,sNy |
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DO i=1,sNx |
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tmpFld(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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DO k=1,Nr |
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R_drK = rSphere*deepFacC(k)*deepFac2C(k) |
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& *rhoFacC(k)*drF(k) |
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DO j=1,sNy |
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DO i=1,sNx |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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tmpVal = abFac1*guNm(i,j,k,bi,bj,m1) |
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& + abFac2*guNm(i,j,k,bi,bj,m2) |
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#else |
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tmpVal = abFac1*guNm1(i,j,k,bi,bj) |
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#endif |
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tmpVal = tmpVal*deltaTMom + uVel(i,j,k,bi,bj) |
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tmpFld(i,j) = tmpFld(i,j) |
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& + R_drK*tmpVal*_hFacW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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C- and then integrate horizontally over this tile |
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DO j=1,sNy |
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DO i=1,sNx |
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cosLat = COS( deg2rad* |
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& ( yG(i,j,bi,bj) + yG(i,j+1,bi,bj) )*halfRL ) |
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tmpFld(i,j) = tmpFld(i,j)*u2zonDir(i,j,bi,bj) |
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& *cosLat*rAw(i,j,bi,bj) |
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& *maskInW(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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tileAMu(bi,bj) = 0. _d 0 |
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DO j=1,sNy |
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DO i=1,sNx |
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tileAMu(bi,bj) = tileAMu(bi,bj) + tmpFld(i,j) |
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ENDDO |
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ENDDO |
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C- contribution from vVel component: 1rst integrate vertically |
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DO j=1,sNy |
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DO i=1,sNx |
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tmpFld(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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DO k=1,Nr |
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R_drK = rSphere*deepFacC(k)*deepFac2C(k) |
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& *rhoFacC(k)*drF(k) |
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DO j=1,sNy |
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DO i=1,sNx |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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tmpVal = abFac1*gvNm(i,j,k,bi,bj,m1) |
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& + abFac2*gvNm(i,j,k,bi,bj,m2) |
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#else |
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tmpVal = abFac1*gvNm1(i,j,k,bi,bj) |
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#endif |
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tmpVal = tmpVal*deltaTMom + vVel(i,j,k,bi,bj) |
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tmpFld(i,j) = tmpFld(i,j) |
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& + R_drK*tmpVal*_hFacS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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C- and then integrate horizontally over this tile |
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DO j=1,sNy |
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DO i=1,sNx |
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cosLat = COS( deg2rad* |
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& ( yG(i,j,bi,bj) + yG(i+1,j,bi,bj) )*halfRL ) |
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tmpFld(i,j) = tmpFld(i,j)*v2zonDir(i,j,bi,bj) |
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& *cosLat*rAs(i,j,bi,bj) |
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& *maskInS(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=1,sNy |
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DO i=1,sNx |
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tileAMu(bi,bj) = tileAMu(bi,bj) + tmpFld(i,j) |
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ENDDO |
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ENDDO |
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C- Calculate contribution from mass distribution anomaly (i.e., free-surface) |
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IF ( exactConserv ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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#ifdef EXACT_CONSERV |
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tmpFld(i,j) = etaHnm1(i,j,bi,bj) |
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#else |
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tmpFld(i,j) = 0. |
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#endif |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1,sNy |
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DO i=1,sNx |
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tmpFld(i,j) = etaN(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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C- calculate angular momentum from mass-distribution anomaly |
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C using square of radial distance (averaged @ center point) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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cosLat = COS( deg2rad*yG(i,j,bi,bj) ) |
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cos2LatG(i,j) = cosLat*cosLat |
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ENDDO |
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ENDDO |
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DO j=1,sNy |
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DO i=1,sNx |
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tmpFld(i,j) = tmpFld(i,j) |
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& *omega*rSphere*rSphere |
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& *( ( cos2LatG(i,j) + cos2LatG(i+1,j+1) ) |
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& + ( cos2LatG(i+1,j) + cos2LatG(i,j+1) ) |
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& )*0.25 _d 0 |
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ENDDO |
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ENDDO |
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DO j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(i,j,bi,bj) |
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tmpFld(i,j) = tmpFld(i,j) |
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& *maskInC(i,j,bi,bj)*deepFac2F(ks) |
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& *rA(i,j,bi,bj)*deepFac2F(ks)*rhoFacF(ks) |
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ENDDO |
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ENDDO |
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tileAMs(bi,bj) = 0. _d 0 |
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DO j=1,sNy |
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DO i=1,sNx |
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tileAMs(bi,bj) = tileAMs(bi,bj) + tmpFld(i,j) |
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ENDDO |
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ENDDO |
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C- end bi,bj loops |
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ENDDO |
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ENDDO |
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CALL GLOBAL_SUM_TILE_RL( tileAMu , totAMu, myThid ) |
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CALL GLOBAL_SUM_TILE_RL( tileAMs , totAMs, myThid ) |
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|
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C-- Print stats for total Angular Momentum (per unit area, in kg/s): |
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CALL MON_SET_PREF('am',myThid) |
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totAMu = totAMu*rUnit2mass |
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totAMs = totAMs*rUnit2mass |
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IF ( globalArea.GT.0. ) totAMu = totAMu/globalArea |
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IF ( globalArea.GT.0. ) totAMs = totAMs/globalArea |
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CALL MON_OUT_RL( mon_string_none, totAMs, |
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& '_eta_mean', myThid ) |
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CALL MON_OUT_RL( mon_string_none, totAMu, |
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& '_uZo_mean', myThid ) |
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totAMu = totAMu + freeSurfFac*totAMs |
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CALL MON_OUT_RL( mon_string_none, totAMu, |
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& '_tot_mean', myThid ) |
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|
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ENDIF |
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|
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C-- Print stats for (barotropic) Potential Energy: |
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CALL MON_SET_PREF('pe_b',myThid) |
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CALL MON_OUT_RL(mon_string_none,potEnMean, |
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& mon_foot_mean,myThid) |
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|
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C-- Print stats for KE |
| 337 |
CALL MON_SET_PREF('ke',myThid) |
| 338 |
CALL MON_OUT_RL(mon_string_none,theMax,mon_foot_max,myThid) |
| 339 |
c CALL MON_OUT_RL(mon_string_none,theMean,mon_foot_mean,myThid) |
| 340 |
CALL MON_OUT_RL(mon_string_none,theVolMean, |
| 341 |
& mon_foot_mean,myThid) |
| 342 |
CALL MON_OUT_RL(mon_string_none,theVol, |
| 343 |
& mon_foot_vol,myThid) |
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|
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RETURN |
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END |
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