| 1 |
jmc |
1.24 |
C $Header: /u/gcmpack/MITgcm/pkg/monitor/mon_ke.F,v 1.23 2012/12/26 23:57:46 jmc Exp $ |
| 2 |
adcroft |
1.1 |
C $Name: $ |
| 3 |
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| 4 |
adcroft |
1.11 |
#include "MONITOR_OPTIONS.h" |
| 5 |
adcroft |
1.1 |
|
| 6 |
edhill |
1.12 |
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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| 10 |
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C !INTERFACE: |
| 11 |
adcroft |
1.1 |
SUBROUTINE MON_KE( |
| 12 |
edhill |
1.12 |
I myIter, myThid ) |
| 13 |
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| 14 |
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C !DESCRIPTION: |
| 15 |
jmc |
1.22 |
C Calculates stats for Kinetic Energy, (barotropic) Potential Energy |
| 16 |
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C and total Angular Momentum |
| 17 |
edhill |
1.12 |
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| 18 |
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C !USES: |
| 19 |
adcroft |
1.1 |
IMPLICIT NONE |
| 20 |
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#include "SIZE.h" |
| 21 |
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#include "EEPARAMS.h" |
| 22 |
jmc |
1.16 |
#include "PARAMS.h" |
| 23 |
adcroft |
1.1 |
#include "DYNVARS.h" |
| 24 |
cnh |
1.5 |
#include "MONITOR.h" |
| 25 |
jmc |
1.8 |
#include "GRID.h" |
| 26 |
jmc |
1.10 |
#include "SURFACE.h" |
| 27 |
adcroft |
1.1 |
|
| 28 |
edhill |
1.12 |
C !INPUT PARAMETERS: |
| 29 |
jmc |
1.10 |
INTEGER myIter, myThid |
| 30 |
edhill |
1.12 |
CEOP |
| 31 |
adcroft |
1.1 |
|
| 32 |
edhill |
1.12 |
C !LOCAL VARIABLES: |
| 33 |
jmc |
1.22 |
INTEGER bi, bj |
| 34 |
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INTEGER i,j,k |
| 35 |
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INTEGER ks, kp1 |
| 36 |
jmc |
1.19 |
_RL numPnts,theVol,tmpVal, mskp1, msk_1 |
| 37 |
jmc |
1.24 |
_RL abFac1, abFac2, R_drK, cosLat |
| 38 |
jmc |
1.10 |
_RL theMax,theMean,theVolMean,potEnMean |
| 39 |
jmc |
1.24 |
_RL totAMu, totAMs |
| 40 |
jmc |
1.16 |
_RL tileMean(nSx,nSy) |
| 41 |
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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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jmc |
1.22 |
_RL tileAMu (nSx,nSy) |
| 45 |
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_RL tileAMs (nSx,nSy) |
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jmc |
1.24 |
_RL tmpFld(1:sNx,1:sNy) |
| 47 |
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_RS cos2LatG(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.18 |
#ifdef ALLOW_NONHYDROSTATIC |
| 49 |
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_RL tmpWke |
| 50 |
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#endif |
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jmc |
1.24 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
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INTEGER m1, m2 |
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#endif |
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adcroft |
1.1 |
|
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jmc |
1.21 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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jmc |
1.10 |
numPnts=0. |
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theVol=0. |
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adcroft |
1.1 |
theMax=0. |
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theMean=0. |
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jmc |
1.8 |
theVolMean=0. |
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jmc |
1.10 |
potEnMean =0. |
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adcroft |
1.1 |
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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 |
1.16 |
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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jmc |
1.18 |
kp1 = MIN(k+1,Nr) |
| 72 |
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mskp1 = 1. |
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jmc |
1.19 |
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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jmc |
1.22 |
IF ( k.EQ.1 .AND. selectNHfreeSurf.LE.0 ) msk_1 = 0. |
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jmc |
1.16 |
DO j=1,sNy |
| 79 |
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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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jmc |
1.21 |
& *maskInC(i,j,bi,bj) |
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jmc |
1.9 |
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| 85 |
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C- Vector Invariant form (like in pkg/mom_vecinv/mom_vi_calc_ke.F) |
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jmc |
1.16 |
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) |
| 89 |
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c & +vVel( i ,j+1,k,bi,bj)*vVel( i ,j+1,k,bi,bj) ) |
| 90 |
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c tileVlAv(bi,bj) = tileVlAv(bi,bj) |
| 91 |
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c & +tmpVal*rA(i,j,bi,bj)*drF(k)*hFacC(i,j,k,bi,bj) |
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jmc |
1.9 |
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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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heimbach |
1.15 |
& *dyG( i ,j,bi,bj)*dxC( i ,j,bi,bj)*_hFacW( i ,j,k,bi,bj) |
| 99 |
jmc |
1.9 |
& +uVel(i+1,j,k,bi,bj)*uVel(i+1,j,k,bi,bj) |
| 100 |
heimbach |
1.15 |
& *dyG(i+1,j,bi,bj)*dxC(i+1,j,bi,bj)*_hFacW(i+1,j,k,bi,bj) |
| 101 |
jmc |
1.9 |
& +vVel(i, j ,k,bi,bj)*vVel(i, j ,k,bi,bj) |
| 102 |
heimbach |
1.15 |
& *dxG(i, j ,bi,bj)*dyC(i, j ,bi,bj)*_hFacS(i, j ,k,bi,bj) |
| 103 |
jmc |
1.9 |
& +vVel(i,j+1,k,bi,bj)*vVel(i,j+1,k,bi,bj) |
| 104 |
heimbach |
1.15 |
& *dxG(i,j+1,bi,bj)*dyC(i,j+1,bi,bj)*_hFacS(i,j+1,k,bi,bj) |
| 105 |
jmc |
1.21 |
& )*maskInC(i,j,bi,bj) |
| 106 |
jmc |
1.16 |
tileVlAv(bi,bj) = tileVlAv(bi,bj) |
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& + tmpVal*deepFac2C(k)*rhoFacC(k)*drF(k) |
| 108 |
heimbach |
1.15 |
tmpVal= tmpVal*_recip_hFacC(i,j,k,bi,bj)*recip_rA(i,j,bi,bj) |
| 109 |
jmc |
1.9 |
|
| 110 |
jmc |
1.18 |
#ifdef ALLOW_NONHYDROSTATIC |
| 111 |
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IF ( nonHydrostatic ) THEN |
| 112 |
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tmpWke = 0.25* |
| 113 |
jmc |
1.19 |
& ( wVel(i,j, k, bi,bj)*wVel(i,j, k, bi,bj)*msk_1 |
| 114 |
jmc |
1.18 |
& *deepFac2F( k )*rhoFacF( k ) |
| 115 |
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& +wVel(i,j,kp1,bi,bj)*wVel(i,j,kp1,bi,bj)*mskp1 |
| 116 |
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& *deepFac2F(kp1)*rhoFacF(kp1) |
| 117 |
jmc |
1.21 |
& )*maskC(i,j,k,bi,bj)*maskInC(i,j,bi,bj) |
| 118 |
jmc |
1.18 |
tileVlAv(bi,bj) = tileVlAv(bi,bj) |
| 119 |
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& + tmpWke*rA(i,j,bi,bj)*drF(k)*_hFacC(i,j,k,bi,bj) |
| 120 |
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tmpVal = tmpVal |
| 121 |
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& + tmpWke*recip_deepFac2C(k)*recip_rhoFacC(k) |
| 122 |
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ENDIF |
| 123 |
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#endif |
| 124 |
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| 125 |
jmc |
1.16 |
theMax=MAX(theMax,tmpVal) |
| 126 |
adcroft |
1.1 |
IF (tmpVal.NE.0.) THEN |
| 127 |
jmc |
1.16 |
tileMean(bi,bj)=tileMean(bi,bj)+tmpVal |
| 128 |
jmc |
1.10 |
numPnts=numPnts+1. |
| 129 |
adcroft |
1.1 |
ENDIF |
| 130 |
jmc |
1.9 |
|
| 131 |
adcroft |
1.1 |
ENDDO |
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ENDDO |
| 133 |
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ENDDO |
| 134 |
jmc |
1.10 |
C- Potential Energy (external mode): |
| 135 |
jmc |
1.16 |
DO j=1,sNy |
| 136 |
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DO i=1,sNx |
| 137 |
jmc |
1.10 |
tmpVal = 0.5 _d 0*Bo_surf(i,j,bi,bj) |
| 138 |
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& *etaN(i,j,bi,bj)*etaN(i,j,bi,bj) |
| 139 |
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C- jmc: if geoid not flat (phi0surf), needs to add this term. |
| 140 |
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C not sure for atmos/ocean in P ; or atmos. loading in ocean-Z |
| 141 |
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tmpVal = tmpVal |
| 142 |
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& + phi0surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
| 143 |
jmc |
1.16 |
tilePEav(bi,bj) = tilePEav(bi,bj) |
| 144 |
jmc |
1.20 |
& + tmpVal*rA(i,j,bi,bj)*deepFac2F(1) |
| 145 |
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& *maskInC(i,j,bi,bj) |
| 146 |
jmc |
1.10 |
c tmpVal = etaN(i,j,bi,bj) |
| 147 |
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c & + phi0surf(i,j,bi,bj)*recip_Bo(i,j,bi,bj) |
| 148 |
jmc |
1.16 |
c tilePEav(bi,bj) = tilePEav(bi,bj) |
| 149 |
jmc |
1.10 |
c & + 0.5 _d 0*Bo_surf(i,j,bi,bj)*tmpVal*tmpVal |
| 150 |
jmc |
1.20 |
c & *rA(i,j,bi,bj)*maskInC(i,j,bi,bj) |
| 151 |
jmc |
1.10 |
ENDDO |
| 152 |
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ENDDO |
| 153 |
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C- end bi,bj loops |
| 154 |
adcroft |
1.1 |
ENDDO |
| 155 |
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ENDDO |
| 156 |
jmc |
1.17 |
_GLOBAL_SUM_RL(numPnts,myThid) |
| 157 |
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_GLOBAL_MAX_RL(theMax,myThid) |
| 158 |
jmc |
1.16 |
CALL GLOBAL_SUM_TILE_RL( tileMean, theMean , myThid ) |
| 159 |
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CALL GLOBAL_SUM_TILE_RL( tileVol , theVol , myThid ) |
| 160 |
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CALL GLOBAL_SUM_TILE_RL( tileVlAv, theVolMean, myThid ) |
| 161 |
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CALL GLOBAL_SUM_TILE_RL( tilePEav, potEnMean , myThid ) |
| 162 |
jmc |
1.10 |
IF (numPnts.NE.0.) theMean=theMean/numPnts |
| 163 |
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IF (theVol.NE.0.) THEN |
| 164 |
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theVolMean=theVolMean/theVol |
| 165 |
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potEnMean = potEnMean/theVol |
| 166 |
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ENDIF |
| 167 |
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| 168 |
jmc |
1.22 |
C-- Compute total angular momentum |
| 169 |
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IF ( mon_output_AM ) THEN |
| 170 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 171 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 172 |
jmc |
1.24 |
C- Calculate contribution from zonal velocity |
| 173 |
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abFac1 = 0. _d 0 |
| 174 |
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abFac2 = 0. _d 0 |
| 175 |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 176 |
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m1 = 1 + mod(myIter+1,2) |
| 177 |
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m2 = 1 + mod( myIter ,2) |
| 178 |
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IF ( myIter.GE.2 ) abFac2 = beta_AB |
| 179 |
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IF ( myIter.GE.1 ) abFac1 = -( alph_AB + abFac2 ) |
| 180 |
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#else |
| 181 |
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IF ( myIter.GE.1 ) abFac1 = -( 0.5 _d 0 + abEps ) |
| 182 |
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#endif |
| 183 |
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C- contribution from uVel component: 1rst integrate vertically |
| 184 |
jmc |
1.22 |
DO j=1,sNy |
| 185 |
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DO i=1,sNx |
| 186 |
jmc |
1.24 |
tmpFld(i,j) = 0. _d 0 |
| 187 |
jmc |
1.22 |
ENDDO |
| 188 |
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ENDDO |
| 189 |
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DO k=1,Nr |
| 190 |
jmc |
1.24 |
R_drK = rSphere*deepFacC(k)*deepFac2C(k) |
| 191 |
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& *rhoFacC(k)*drF(k) |
| 192 |
jmc |
1.22 |
DO j=1,sNy |
| 193 |
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DO i=1,sNx |
| 194 |
jmc |
1.24 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 195 |
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tmpVal = abFac1*guNm(i,j,k,bi,bj,m1) |
| 196 |
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& + abFac2*guNm(i,j,k,bi,bj,m2) |
| 197 |
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#else |
| 198 |
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tmpVal = abFac1*guNm1(i,j,k,bi,bj) |
| 199 |
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#endif |
| 200 |
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tmpVal = tmpVal*deltaTMom + uVel(i,j,k,bi,bj) |
| 201 |
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tmpFld(i,j) = tmpFld(i,j) |
| 202 |
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& + R_drK*tmpVal*_hFacW(i,j,k,bi,bj) |
| 203 |
jmc |
1.22 |
ENDDO |
| 204 |
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ENDDO |
| 205 |
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ENDDO |
| 206 |
jmc |
1.24 |
C- and then integrate horizontally over this tile |
| 207 |
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DO j=1,sNy |
| 208 |
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DO i=1,sNx |
| 209 |
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cosLat = COS( deg2rad* |
| 210 |
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& ( yG(i,j,bi,bj) + yG(i,j+1,bi,bj) )*halfRL ) |
| 211 |
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tmpFld(i,j) = tmpFld(i,j)*u2zonDir(i,j,bi,bj) |
| 212 |
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& *cosLat*rAw(i,j,bi,bj) |
| 213 |
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& *maskInW(i,j,bi,bj) |
| 214 |
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ENDDO |
| 215 |
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ENDDO |
| 216 |
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tileAMu(bi,bj) = 0. _d 0 |
| 217 |
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DO j=1,sNy |
| 218 |
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DO i=1,sNx |
| 219 |
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tileAMu(bi,bj) = tileAMu(bi,bj) + tmpFld(i,j) |
| 220 |
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ENDDO |
| 221 |
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ENDDO |
| 222 |
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C- contribution from vVel component: 1rst integrate vertically |
| 223 |
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DO j=1,sNy |
| 224 |
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DO i=1,sNx |
| 225 |
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tmpFld(i,j) = 0. _d 0 |
| 226 |
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ENDDO |
| 227 |
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ENDDO |
| 228 |
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DO k=1,Nr |
| 229 |
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R_drK = rSphere*deepFacC(k)*deepFac2C(k) |
| 230 |
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& *rhoFacC(k)*drF(k) |
| 231 |
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DO j=1,sNy |
| 232 |
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DO i=1,sNx |
| 233 |
jmc |
1.23 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 234 |
jmc |
1.24 |
tmpVal = abFac1*gvNm(i,j,k,bi,bj,m1) |
| 235 |
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& + abFac2*gvNm(i,j,k,bi,bj,m2) |
| 236 |
jmc |
1.23 |
#else |
| 237 |
jmc |
1.24 |
tmpVal = abFac1*gvNm1(i,j,k,bi,bj) |
| 238 |
jmc |
1.23 |
#endif |
| 239 |
jmc |
1.24 |
tmpVal = tmpVal*deltaTMom + vVel(i,j,k,bi,bj) |
| 240 |
|
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tmpFld(i,j) = tmpFld(i,j) |
| 241 |
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& + R_drK*tmpVal*_hFacS(i,j,k,bi,bj) |
| 242 |
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ENDDO |
| 243 |
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ENDDO |
| 244 |
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ENDDO |
| 245 |
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C- and then integrate horizontally over this tile |
| 246 |
|
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DO j=1,sNy |
| 247 |
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DO i=1,sNx |
| 248 |
|
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cosLat = COS( deg2rad* |
| 249 |
|
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& ( yG(i,j,bi,bj) + yG(i+1,j,bi,bj) )*halfRL ) |
| 250 |
|
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tmpFld(i,j) = tmpFld(i,j)*v2zonDir(i,j,bi,bj) |
| 251 |
|
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& *cosLat*rAs(i,j,bi,bj) |
| 252 |
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& *maskInS(i,j,bi,bj) |
| 253 |
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ENDDO |
| 254 |
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ENDDO |
| 255 |
|
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DO j=1,sNy |
| 256 |
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DO i=1,sNx |
| 257 |
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tileAMu(bi,bj) = tileAMu(bi,bj) + tmpFld(i,j) |
| 258 |
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ENDDO |
| 259 |
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ENDDO |
| 260 |
|
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C- Calculate contribution from mass distribution anomaly (i.e., free-surface) |
| 261 |
|
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IF ( exactConserv ) THEN |
| 262 |
jmc |
1.23 |
DO j=1,sNy |
| 263 |
|
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DO i=1,sNx |
| 264 |
|
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#ifdef EXACT_CONSERV |
| 265 |
jmc |
1.24 |
tmpFld(i,j) = etaHnm1(i,j,bi,bj) |
| 266 |
|
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#else |
| 267 |
|
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tmpFld(i,j) = 0. |
| 268 |
jmc |
1.23 |
#endif |
| 269 |
|
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ENDDO |
| 270 |
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ENDDO |
| 271 |
|
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ELSE |
| 272 |
jmc |
1.22 |
DO j=1,sNy |
| 273 |
|
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DO i=1,sNx |
| 274 |
jmc |
1.24 |
tmpFld(i,j) = etaN(i,j,bi,bj) |
| 275 |
jmc |
1.22 |
ENDDO |
| 276 |
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ENDDO |
| 277 |
jmc |
1.23 |
ENDIF |
| 278 |
jmc |
1.24 |
C- calculate angular momentum from mass-distribution anomaly |
| 279 |
|
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C using square of radial distance (averaged @ center point) |
| 280 |
|
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DO j=1-OLy,sNy+OLy |
| 281 |
|
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DO i=1-OLx,sNx+OLx |
| 282 |
|
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cosLat = COS( deg2rad*yG(i,j,bi,bj) ) |
| 283 |
|
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cos2LatG(i,j) = cosLat*cosLat |
| 284 |
|
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ENDDO |
| 285 |
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ENDDO |
| 286 |
|
|
DO j=1,sNy |
| 287 |
|
|
DO i=1,sNx |
| 288 |
|
|
tmpFld(i,j) = tmpFld(i,j) |
| 289 |
|
|
& *omega*rSphere*rSphere |
| 290 |
|
|
& *( ( cos2LatG(i,j) + cos2LatG(i+1,j+1) ) |
| 291 |
|
|
& + ( cos2LatG(i+1,j) + cos2LatG(i,j+1) ) |
| 292 |
|
|
& )*0.25 _d 0 |
| 293 |
|
|
ENDDO |
| 294 |
|
|
ENDDO |
| 295 |
|
|
DO j=1,sNy |
| 296 |
|
|
DO i=1,sNx |
| 297 |
|
|
ks = kSurfC(i,j,bi,bj) |
| 298 |
|
|
tmpFld(i,j) = tmpFld(i,j) |
| 299 |
|
|
& *maskInC(i,j,bi,bj)*deepFac2F(ks) |
| 300 |
|
|
& *rA(i,j,bi,bj)*deepFac2F(ks)*rhoFacF(ks) |
| 301 |
|
|
ENDDO |
| 302 |
|
|
ENDDO |
| 303 |
|
|
tileAMs(bi,bj) = 0. _d 0 |
| 304 |
|
|
DO j=1,sNy |
| 305 |
|
|
DO i=1,sNx |
| 306 |
|
|
tileAMs(bi,bj) = tileAMs(bi,bj) + tmpFld(i,j) |
| 307 |
|
|
ENDDO |
| 308 |
|
|
ENDDO |
| 309 |
jmc |
1.22 |
C- end bi,bj loops |
| 310 |
|
|
ENDDO |
| 311 |
|
|
ENDDO |
| 312 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileAMu , totAMu, myThid ) |
| 313 |
|
|
CALL GLOBAL_SUM_TILE_RL( tileAMs , totAMs, myThid ) |
| 314 |
|
|
|
| 315 |
jmc |
1.23 |
C-- Print stats for total Angular Momentum (per unit area, in kg/s): |
| 316 |
jmc |
1.22 |
CALL MON_SET_PREF('am',myThid) |
| 317 |
|
|
totAMu = totAMu*rUnit2mass |
| 318 |
|
|
totAMs = totAMs*rUnit2mass |
| 319 |
|
|
IF ( globalArea.GT.0. ) totAMu = totAMu/globalArea |
| 320 |
|
|
IF ( globalArea.GT.0. ) totAMs = totAMs/globalArea |
| 321 |
|
|
CALL MON_OUT_RL( mon_string_none, totAMs, |
| 322 |
|
|
& '_eta_mean', myThid ) |
| 323 |
|
|
CALL MON_OUT_RL( mon_string_none, totAMu, |
| 324 |
|
|
& '_uZo_mean', myThid ) |
| 325 |
jmc |
1.24 |
totAMu = totAMu + freeSurfFac*totAMs |
| 326 |
jmc |
1.22 |
CALL MON_OUT_RL( mon_string_none, totAMu, |
| 327 |
|
|
& '_tot_mean', myThid ) |
| 328 |
|
|
|
| 329 |
|
|
ENDIF |
| 330 |
|
|
|
| 331 |
jmc |
1.10 |
C-- Print stats for (barotropic) Potential Energy: |
| 332 |
|
|
CALL MON_SET_PREF('pe_b',myThid) |
| 333 |
|
|
CALL MON_OUT_RL(mon_string_none,potEnMean, |
| 334 |
|
|
& mon_foot_mean,myThid) |
| 335 |
adcroft |
1.1 |
|
| 336 |
jmc |
1.10 |
C-- Print stats for KE |
| 337 |
|
|
CALL MON_SET_PREF('ke',myThid) |
| 338 |
jmc |
1.8 |
CALL MON_OUT_RL(mon_string_none,theMax,mon_foot_max,myThid) |
| 339 |
jmc |
1.10 |
c CALL MON_OUT_RL(mon_string_none,theMean,mon_foot_mean,myThid) |
| 340 |
jmc |
1.8 |
CALL MON_OUT_RL(mon_string_none,theVolMean, |
| 341 |
jmc |
1.10 |
& mon_foot_mean,myThid) |
| 342 |
jmc |
1.9 |
CALL MON_OUT_RL(mon_string_none,theVol, |
| 343 |
|
|
& mon_foot_vol,myThid) |
| 344 |
adcroft |
1.1 |
|
| 345 |
|
|
RETURN |
| 346 |
|
|
END |
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