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jmc |
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C $Header: /u/gcmpack/MITgcm/pkg/pp81/pp81_ri_number.F,v 1.3 2008/08/11 22:28:06 jmc Exp $ |
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mlosch |
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C $Name: $ |
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#include "PP81_OPTIONS.h" |
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CBOP |
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C !ROUTINE: PP81_RI_NUMBER |
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C !INTERFACE: ========================================================== |
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subroutine PP81_RI_NUMBER( |
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jmc |
1.3 |
I bi, bj, K, iMin, iMax, jMin, jMax, |
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mlosch |
1.1 |
O RiNumber, |
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I myTime, myThid ) |
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C !DESCRIPTION: \bv |
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C /==========================================================\ |
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C | SUBROUTINE PP81_RI_NUMBER | |
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C | o Compute gradient Richardson number for Pacanowski and | |
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C | Philander (1981) mixing scheme | |
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C \==========================================================/ |
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IMPLICIT NONE |
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c |
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c------------------------------------------------------------------------- |
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c \ev |
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C !USES: =============================================================== |
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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 "PP81.h" |
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#include "GRID.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C !INPUT PARAMETERS: =================================================== |
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C Routine arguments |
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C bi, bj - array indices on which to apply calculations |
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jmc |
1.3 |
C iMin, iMax, jMin, jMax |
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mlosch |
1.1 |
C - array boundaries |
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C k - depth level |
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C myTime - Current time in simulation |
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C RiNumber - (output) Richardson number |
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INTEGER bi, bj, iMin, iMax, jMin, jMax, k |
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INTEGER myThid |
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_RL myTime |
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_RL RiNumber(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#ifdef ALLOW_PP81 |
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C !LOCAL VARIABLES: ==================================================== |
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C I,J,kUp - loop indices |
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C p0-125 - averaging coefficients |
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C tempu, tempv - temporary variables |
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C rhoK, rhoKm1 - Density below and above current interface |
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C epsilon - small number |
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jmc |
1.3 |
C RiFlux - denominator of Richardson number |
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mlosch |
1.1 |
C BuoyFreq - buoyancy frequency |
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INTEGER I,J,Km1 |
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jmc |
1.3 |
_RL p5 , p125 |
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mlosch |
1.1 |
PARAMETER( p5=0.5, p125=0.125 ) |
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_RL tempu, tempv |
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_RL epsilon |
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PARAMETER ( epsilon = 1.D-10 ) |
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jmc |
1.3 |
_RL RiFlux |
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mlosch |
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_RL buoyFreq |
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_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#ifdef PP81_SMOOTH_RI |
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_RL RiTmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif /* PP81_SMOOTH_RI */ |
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jmc |
1.3 |
CEOP |
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mlosch |
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Km1 = MAX(1,K-1) |
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C Not sure what is correct for pressure coordinates: |
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C RiFlux is always correct because it quadratic |
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C buoyFreq should also be correct in pressure coordinates: |
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C N^2=g^2drho/dp and K=1 at the bottom leads to the correct sign |
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C So the following is wrong: |
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CML IF ( buoyancyRelation .EQ. 'OCEANIC') THEN |
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CML kUp = MAX(1,K-1) |
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CML kDown = K |
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CML ELSEIF ( buoyancyRelation .EQ. 'OCEANIP') THEN |
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CML kUp = K |
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CML kDown = MAX(1,K-1) |
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CML ELSE |
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CML STOP 'PP81_RI_NUMBER: We should never reach this point' |
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CML ENDIF |
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C preparation: find density a kth and k-1st level |
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jmc |
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CALL FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, K, |
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I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
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mlosch |
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O rhoKm1, |
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jmc |
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I Km1, bi, bj, myThid ) |
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CALL FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, K, |
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I theta(1-OLx,1-OLy,K,bi,bj), salt(1-OLx,1-OLy,K,bi,bj), |
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mlosch |
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O rhoK, |
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jmc |
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I K, bi, bj, myThid ) |
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mlosch |
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C first step: calculate flux Richardson number. |
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C calculate (du/dz)^2 + (dv/dz)^2 on W (between T) points. |
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DO J= jMin, jMax |
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DO I = iMin, iMax |
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tempu= .5*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
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& - (uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
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& *recip_drC(K) |
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tempv= .5*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
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& - (vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
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& *recip_drC(K) |
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RiFlux = tempu*tempu+tempv*tempv |
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C |
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C calculate - g*(drho/dz)/rho0= N^2 . |
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C |
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jmc |
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buoyFreq = - gravity*mass2rUnit * |
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mlosch |
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& (rhoKm1(I,J) - rhoK(I,J))*recip_drC(K) |
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jmc |
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C |
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mlosch |
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C calculates gradient Richardson number, bounded by |
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C a very large negative value. |
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jmc |
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C |
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mlosch |
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RiNumber(I,J) = buoyFreq/max(RiFlux,epsilon) |
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ENDDO |
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ENDDO |
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jmc |
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mlosch |
1.1 |
#ifdef PP81_SMOOTH_RI |
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C average Richardson number horizontally |
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DO J=jMin,jMax |
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DO I=iMin,iMax |
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RiTmp(I,J) = RiNumber(I,J) |
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ENDDO |
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jmc |
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ENDDO |
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mlosch |
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DO J=1-Oly+1,sNy+Oly-1 |
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DO I=1-Olx+1,sNx+Olx-1 |
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jmc |
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RiNumber(I,J) = p5*RiTmp(I,J) |
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& + p125*RiTmp(I-1,J) + p125*RiTmp(I+1,J) |
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& + p125*RiTmp(I,J-1) + p125*RiTmp(I,J+1) |
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mlosch |
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ENDDO |
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jmc |
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ENDDO |
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mlosch |
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#endif /* PP81_SMOOTH_RI */ |
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#endif /* ALLOW_PP81 */ |
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RETURN |
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END |
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