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C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.37 2009/10/22 04:33:59 jmc Exp $ |
| 2 |
C $Name: $ |
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|
| 4 |
#include "CPP_OPTIONS.h" |
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#define USE_FACTORIZED_POLY |
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|
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C-- File find_rho.F: Routines to compute density |
| 8 |
C-- Contents |
| 9 |
C-- o FIND_RHO_2D |
| 10 |
C-- o FIND_RHOP0 |
| 11 |
C-- o FIND_BULKMOD |
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C-- o FIND_RHONUM |
| 13 |
C-- o FIND_RHODEN |
| 14 |
C-- o FIND_RHO_SCALAR: in-situ density for individual points |
| 15 |
C-- o LOOK_FOR_NEG_SALINITY |
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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: FIND_RHO_2D |
| 20 |
C !INTERFACE: |
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SUBROUTINE FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, kRef, |
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I tFld, sFld, |
| 24 |
O rhoLoc, |
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I k, bi, bj, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | o SUBROUTINE FIND_RHO_2D |
| 30 |
C | Calculates [rho(S,T,z)-rhoConst] of a 2-D slice |
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C *==========================================================* |
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C | |
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C | kRef - determines pressure reference level |
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C | (not used in 'LINEAR' mode) |
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C | Note: k is not used ; keep it for debugging. |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C == Global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
| 44 |
#include "PARAMS.h" |
| 45 |
#include "EOS.h" |
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|
| 47 |
C !INPUT/OUTPUT PARAMETERS: |
| 48 |
C == Routine arguments == |
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C k :: Level of Theta/Salt slice |
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C kRef :: Pressure reference level |
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INTEGER iMin,iMax,jMin,jMax |
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INTEGER kRef |
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_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoLoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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INTEGER k, bi, bj |
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INTEGER myThid |
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|
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C !LOCAL VARIABLES: |
| 60 |
C == Local variables == |
| 61 |
INTEGER i,j |
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_RL refTemp,refSalt,sigRef,tP,sP,deltaSig,dRho |
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_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rhoNum (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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CEOP |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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rhoLoc(i,j) = 0. _d 0 |
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rhoP0(i,j) = 0. _d 0 |
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bulkMod(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif |
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|
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#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
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CALL LOOK_FOR_NEG_SALINITY( |
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I iMin, iMax, jMin, jMax, |
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U sFld, |
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I k, bi, bj, myThid ) |
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#endif |
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|
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IF (equationOfState.EQ.'LINEAR') THEN |
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|
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C ***NOTE*** |
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C In the linear EOS, to make the static stability calculation meaningful |
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C we use reference temp & salt from level kRef ; |
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C ********** |
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refTemp=tRef(kRef) |
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refSalt=sRef(kRef) |
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|
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dRho = rhoNil-rhoConst |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rhoLoc(i,j)=rhoNil*( |
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& sBeta*(sFld(i,j)-refSalt) |
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& -tAlpha*(tFld(i,j)-refTemp) ) |
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& + dRho |
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ENDDO |
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ENDDO |
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|
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ELSEIF (equationOfState.EQ.'POLY3') THEN |
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|
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refTemp=eosRefT(kRef) |
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refSalt=eosRefS(kRef) |
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sigRef=eosSig0(kRef) + (1000.-rhoConst) |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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tP=tFld(i,j)-refTemp |
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sP=sFld(i,j)-refSalt |
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#ifdef USE_FACTORIZED_POLY |
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deltaSig= |
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& (( eosC(9,kRef)*sP + eosC(5,kRef) )*sP + eosC(2,kRef) )*sP |
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& + ( ( eosC(6,kRef) |
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& *tP |
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& +eosC(7,kRef)*sP + eosC(3,kRef) |
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& )*tP |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
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& )*tP |
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#else |
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deltaSig= |
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& eosC(1,kRef)*tP |
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& +eosC(2,kRef) *sP |
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& +eosC(3,kRef)*tP*tP |
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& +eosC(4,kRef)*tP *sP |
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& +eosC(5,kRef) *sP*sP |
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& +eosC(6,kRef)*tP*tP*tP |
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& +eosC(7,kRef)*tP*tP *sP |
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& +eosC(8,kRef)*tP *sP*sP |
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& +eosC(9,kRef) *sP*sP*sP |
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#endif |
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rhoLoc(i,j)=sigRef+deltaSig |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
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& .OR. equationOfState.EQ.'UNESCO' ) THEN |
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C nonlinear equation of state in pressure coordinates |
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|
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CALL PRESSURE_FOR_EOS( |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
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O locPres, |
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I myThid ) |
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|
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CALL FIND_RHOP0( |
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I iMin, iMax, jMin, jMax, |
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I tFld, sFld, |
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O rhoP0, |
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I myThid ) |
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|
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CALL FIND_BULKMOD( |
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I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O bulkMod, |
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I myThid ) |
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|
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c#ifdef ALLOW_AUTODIFF_TAMC |
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cph can not DO storing here since find_rho is called multiple times; |
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cph additional recomp. should be acceptable |
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c#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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|
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C density of sea water at pressure p |
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rhoLoc(i,j) = rhoP0(i,j) |
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& /(1. _d 0 - |
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& locPres(i,j)*SItoBar/bulkMod(i,j) ) |
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& - rhoConst |
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|
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ENDDO |
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ENDDO |
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|
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ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
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|
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CALL PRESSURE_FOR_EOS( |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
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O locPres, |
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I myThid ) |
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|
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CALL FIND_RHONUM( |
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I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O rhoNum, |
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I myThid ) |
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|
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CALL FIND_RHODEN( |
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I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O rhoDen, |
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I myThid ) |
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|
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c#ifdef ALLOW_AUTODIFF_TAMC |
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cph can not DO storing here since find_rho is called multiple times; |
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cph additional recomp. should be acceptable |
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c#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rhoLoc(i,j) = rhoNum(i,j)*rhoDen(i,j) - rhoConst |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( equationOfState.EQ.'TEOS10' ) THEN |
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|
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CALL PRESSURE_FOR_EOS( |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
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O locPres, |
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I myThid ) |
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|
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CALL FIND_RHOTEOS( |
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I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O rhoNum, rhoDen, |
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I myThid ) |
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|
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c#ifdef ALLOW_AUTODIFF_TAMC |
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cph can not DO storing here since find_rho is called multiple times; |
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cph additional recomp. should be acceptable |
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c#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rhoLoc(i,j) = rhoNum(i,j)*rhoDen(i,j) - rhoConst |
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ENDDO |
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ENDDO |
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|
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ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
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C |
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ELSE |
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WRITE(msgBuf,'(3a)') |
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& ' FIND_RHO_2D: equationOfState = "',equationOfState,'"' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R FIND_RHO_2D' |
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ENDIF |
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|
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RETURN |
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END |
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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: FIND_RHOP0 |
| 247 |
C !INTERFACE: |
| 248 |
SUBROUTINE FIND_RHOP0( |
| 249 |
I iMin, iMax, jMin, jMax, |
| 250 |
I tFld, sFld, |
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O rhoP0, |
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I myThid ) |
| 253 |
|
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C !DESCRIPTION: \bv |
| 255 |
C *==========================================================* |
| 256 |
C | o SUBROUTINE FIND_RHOP0 |
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C | Calculates rho(S,T,0) of a slice |
| 258 |
C *==========================================================* |
| 259 |
C *==========================================================* |
| 260 |
C \ev |
| 261 |
|
| 262 |
C !USES: |
| 263 |
IMPLICIT NONE |
| 264 |
C == Global variables == |
| 265 |
#include "SIZE.h" |
| 266 |
#include "EEPARAMS.h" |
| 267 |
#include "PARAMS.h" |
| 268 |
#include "EOS.h" |
| 269 |
|
| 270 |
C !INPUT/OUTPUT PARAMETERS: |
| 271 |
C == Routine arguments == |
| 272 |
INTEGER iMin,iMax,jMin,jMax |
| 273 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 274 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 275 |
_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 276 |
INTEGER myThid |
| 277 |
|
| 278 |
C !LOCAL VARIABLES: |
| 279 |
C == Local variables == |
| 280 |
INTEGER i,j |
| 281 |
_RL rfresh, rsalt |
| 282 |
_RL t, t2, t3, t4, s, s3o2 |
| 283 |
CEOP |
| 284 |
|
| 285 |
DO j=jMin,jMax |
| 286 |
DO i=iMin,iMax |
| 287 |
C abbreviations |
| 288 |
t = tFld(i,j) |
| 289 |
t2 = t*t |
| 290 |
t3 = t2*t |
| 291 |
t4 = t3*t |
| 292 |
|
| 293 |
s = sFld(i,j) |
| 294 |
IF ( s .GT. 0. _d 0 ) THEN |
| 295 |
s3o2 = s*SQRT(s) |
| 296 |
ELSE |
| 297 |
s = 0. _d 0 |
| 298 |
s3o2 = 0. _d 0 |
| 299 |
ENDIF |
| 300 |
|
| 301 |
C density of freshwater at the surface |
| 302 |
rfresh = |
| 303 |
& eosJMDCFw(1) |
| 304 |
& + eosJMDCFw(2)*t |
| 305 |
& + eosJMDCFw(3)*t2 |
| 306 |
& + eosJMDCFw(4)*t3 |
| 307 |
& + eosJMDCFw(5)*t4 |
| 308 |
& + eosJMDCFw(6)*t4*t |
| 309 |
C density of sea water at the surface |
| 310 |
rsalt = |
| 311 |
& s*( |
| 312 |
& eosJMDCSw(1) |
| 313 |
& + eosJMDCSw(2)*t |
| 314 |
& + eosJMDCSw(3)*t2 |
| 315 |
& + eosJMDCSw(4)*t3 |
| 316 |
& + eosJMDCSw(5)*t4 |
| 317 |
& ) |
| 318 |
& + s3o2*( |
| 319 |
& eosJMDCSw(6) |
| 320 |
& + eosJMDCSw(7)*t |
| 321 |
& + eosJMDCSw(8)*t2 |
| 322 |
& ) |
| 323 |
& + eosJMDCSw(9)*s*s |
| 324 |
|
| 325 |
rhoP0(i,j) = rfresh + rsalt |
| 326 |
|
| 327 |
ENDDO |
| 328 |
ENDDO |
| 329 |
|
| 330 |
RETURN |
| 331 |
END |
| 332 |
|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 334 |
CBOP |
| 335 |
C !ROUTINE: FIND_BULKMOD |
| 336 |
C !INTERFACE: |
| 337 |
SUBROUTINE FIND_BULKMOD( |
| 338 |
I iMin, iMax, jMin, jMax, |
| 339 |
I locPres, tFld, sFld, |
| 340 |
O bulkMod, |
| 341 |
I myThid ) |
| 342 |
|
| 343 |
C !DESCRIPTION: \bv |
| 344 |
C *==========================================================* |
| 345 |
C | o SUBROUTINE FIND_BULKMOD |
| 346 |
C | Calculates the secant bulk modulus K(S,T,p) of a slice |
| 347 |
C *==========================================================* |
| 348 |
C | k - is the level of Theta/Salt slice |
| 349 |
C *==========================================================* |
| 350 |
C \ev |
| 351 |
|
| 352 |
C !USES: |
| 353 |
IMPLICIT NONE |
| 354 |
C == Global variables == |
| 355 |
#include "SIZE.h" |
| 356 |
#include "EEPARAMS.h" |
| 357 |
#include "PARAMS.h" |
| 358 |
#include "EOS.h" |
| 359 |
|
| 360 |
C !INPUT/OUTPUT PARAMETERS: |
| 361 |
C == Routine arguments == |
| 362 |
INTEGER iMin,iMax,jMin,jMax |
| 363 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 364 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 365 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 366 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 367 |
INTEGER myThid |
| 368 |
|
| 369 |
C !LOCAL VARIABLES: |
| 370 |
C == Local variables == |
| 371 |
INTEGER i,j |
| 372 |
_RL bMfresh, bMsalt, bMpres |
| 373 |
_RL t, t2, t3, t4, s, s3o2, p, p2 |
| 374 |
CEOP |
| 375 |
|
| 376 |
DO j=jMin,jMax |
| 377 |
DO i=iMin,iMax |
| 378 |
C abbreviations |
| 379 |
t = tFld(i,j) |
| 380 |
t2 = t*t |
| 381 |
t3 = t2*t |
| 382 |
t4 = t3*t |
| 383 |
|
| 384 |
s = sFld(i,j) |
| 385 |
IF ( s .GT. 0. _d 0 ) THEN |
| 386 |
s3o2 = s*SQRT(s) |
| 387 |
ELSE |
| 388 |
s = 0. _d 0 |
| 389 |
s3o2 = 0. _d 0 |
| 390 |
ENDIF |
| 391 |
C |
| 392 |
p = locPres(i,j)*SItoBar |
| 393 |
p2 = p*p |
| 394 |
C secant bulk modulus of fresh water at the surface |
| 395 |
bMfresh = |
| 396 |
& eosJMDCKFw(1) |
| 397 |
& + eosJMDCKFw(2)*t |
| 398 |
& + eosJMDCKFw(3)*t2 |
| 399 |
& + eosJMDCKFw(4)*t3 |
| 400 |
& + eosJMDCKFw(5)*t4 |
| 401 |
C secant bulk modulus of sea water at the surface |
| 402 |
bMsalt = |
| 403 |
& s*( eosJMDCKSw(1) |
| 404 |
& + eosJMDCKSw(2)*t |
| 405 |
& + eosJMDCKSw(3)*t2 |
| 406 |
& + eosJMDCKSw(4)*t3 |
| 407 |
& ) |
| 408 |
& + s3o2*( eosJMDCKSw(5) |
| 409 |
& + eosJMDCKSw(6)*t |
| 410 |
& + eosJMDCKSw(7)*t2 |
| 411 |
& ) |
| 412 |
C secant bulk modulus of sea water at pressure p |
| 413 |
bMpres = |
| 414 |
& p*( eosJMDCKP(1) |
| 415 |
& + eosJMDCKP(2)*t |
| 416 |
& + eosJMDCKP(3)*t2 |
| 417 |
& + eosJMDCKP(4)*t3 |
| 418 |
& ) |
| 419 |
& + p*s*( eosJMDCKP(5) |
| 420 |
& + eosJMDCKP(6)*t |
| 421 |
& + eosJMDCKP(7)*t2 |
| 422 |
& ) |
| 423 |
& + p*s3o2*eosJMDCKP(8) |
| 424 |
& + p2*( eosJMDCKP(9) |
| 425 |
& + eosJMDCKP(10)*t |
| 426 |
& + eosJMDCKP(11)*t2 |
| 427 |
& ) |
| 428 |
& + p2*s*( eosJMDCKP(12) |
| 429 |
& + eosJMDCKP(13)*t |
| 430 |
& + eosJMDCKP(14)*t2 |
| 431 |
& ) |
| 432 |
|
| 433 |
bulkMod(i,j) = bMfresh + bMsalt + bMpres |
| 434 |
|
| 435 |
ENDDO |
| 436 |
ENDDO |
| 437 |
|
| 438 |
RETURN |
| 439 |
END |
| 440 |
|
| 441 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 442 |
CBOP |
| 443 |
C !ROUTINE: FIND_RHONUM |
| 444 |
C !INTERFACE: |
| 445 |
SUBROUTINE FIND_RHONUM( |
| 446 |
I iMin, iMax, jMin, jMax, |
| 447 |
I locPres, tFld, sFld, |
| 448 |
O rhoNum, |
| 449 |
I myThid ) |
| 450 |
|
| 451 |
C !DESCRIPTION: \bv |
| 452 |
C *==========================================================* |
| 453 |
C | o SUBROUTINE FIND_RHONUM |
| 454 |
C | Calculates the numerator of the McDougall et al. |
| 455 |
C | equation of state |
| 456 |
C | - the code is more or less a copy of MOM4 |
| 457 |
C *==========================================================* |
| 458 |
C *==========================================================* |
| 459 |
C \ev |
| 460 |
|
| 461 |
C !USES: |
| 462 |
IMPLICIT NONE |
| 463 |
C == Global variables == |
| 464 |
#include "SIZE.h" |
| 465 |
#include "EEPARAMS.h" |
| 466 |
#include "PARAMS.h" |
| 467 |
#include "EOS.h" |
| 468 |
|
| 469 |
C !INPUT/OUTPUT PARAMETERS: |
| 470 |
C == Routine arguments == |
| 471 |
INTEGER iMin,iMax,jMin,jMax |
| 472 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 473 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 474 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 475 |
_RL rhoNum (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 476 |
INTEGER myThid |
| 477 |
|
| 478 |
C !LOCAL VARIABLES: |
| 479 |
C == Local variables == |
| 480 |
INTEGER i,j |
| 481 |
_RL t1, t2, s1, p1 |
| 482 |
CEOP |
| 483 |
DO j=jMin,jMax |
| 484 |
DO i=iMin,iMax |
| 485 |
C abbreviations |
| 486 |
t1 = tFld(i,j) |
| 487 |
t2 = t1*t1 |
| 488 |
s1 = sFld(i,j) |
| 489 |
|
| 490 |
p1 = locPres(i,j)*SItodBar |
| 491 |
|
| 492 |
rhoNum(i,j) = eosMDJWFnum(0) |
| 493 |
& + t1*(eosMDJWFnum(1) |
| 494 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 495 |
& + s1*(eosMDJWFnum(4) |
| 496 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 497 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 498 |
& + eosMDJWFnum(9)*s1 |
| 499 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 500 |
|
| 501 |
ENDDO |
| 502 |
ENDDO |
| 503 |
|
| 504 |
RETURN |
| 505 |
END |
| 506 |
|
| 507 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 508 |
CBOP |
| 509 |
C !ROUTINE: FIND_RHODEN |
| 510 |
C !INTERFACE: |
| 511 |
SUBROUTINE FIND_RHODEN( |
| 512 |
I iMin, iMax, jMin, jMax, |
| 513 |
I locPres, tFld, sFld, |
| 514 |
O rhoDen, |
| 515 |
I myThid ) |
| 516 |
|
| 517 |
C !DESCRIPTION: \bv |
| 518 |
C *==========================================================* |
| 519 |
C | o SUBROUTINE FIND_RHODEN |
| 520 |
C | Calculates the denominator of the McDougall et al. |
| 521 |
C | equation of state |
| 522 |
C | - the code is more or less a copy of MOM4 |
| 523 |
C *==========================================================* |
| 524 |
C *==========================================================* |
| 525 |
C \ev |
| 526 |
|
| 527 |
C !USES: |
| 528 |
IMPLICIT NONE |
| 529 |
C == Global variables == |
| 530 |
#include "SIZE.h" |
| 531 |
#include "EEPARAMS.h" |
| 532 |
#include "PARAMS.h" |
| 533 |
#include "EOS.h" |
| 534 |
|
| 535 |
C !INPUT/OUTPUT PARAMETERS: |
| 536 |
C == Routine arguments == |
| 537 |
INTEGER iMin,iMax,jMin,jMax |
| 538 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 539 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 540 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 541 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 542 |
INTEGER myThid |
| 543 |
|
| 544 |
C !LOCAL VARIABLES: |
| 545 |
C == Local variables == |
| 546 |
INTEGER i,j |
| 547 |
_RL t1, t2, s1, sp5, p1, p1t1 |
| 548 |
_RL den, epsln |
| 549 |
parameter ( epsln = 0. _d 0 ) |
| 550 |
CEOP |
| 551 |
DO j=jMin,jMax |
| 552 |
DO i=iMin,iMax |
| 553 |
C abbreviations |
| 554 |
t1 = tFld(i,j) |
| 555 |
t2 = t1*t1 |
| 556 |
s1 = sFld(i,j) |
| 557 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 558 |
sp5 = SQRT(s1) |
| 559 |
ELSE |
| 560 |
s1 = 0. _d 0 |
| 561 |
sp5 = 0. _d 0 |
| 562 |
ENDIF |
| 563 |
|
| 564 |
p1 = locPres(i,j)*SItodBar |
| 565 |
p1t1 = p1*t1 |
| 566 |
|
| 567 |
den = eosMDJWFden(0) |
| 568 |
& + t1*(eosMDJWFden(1) |
| 569 |
& + t1*(eosMDJWFden(2) |
| 570 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 571 |
& + s1*(eosMDJWFden(5) |
| 572 |
& + t1*(eosMDJWFden(6) |
| 573 |
& + eosMDJWFden(7)*t2) |
| 574 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 575 |
& + p1*(eosMDJWFden(10) |
| 576 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 577 |
|
| 578 |
rhoDen(i,j) = 1.0/(epsln+den) |
| 579 |
|
| 580 |
ENDDO |
| 581 |
ENDDO |
| 582 |
|
| 583 |
RETURN |
| 584 |
END |
| 585 |
|
| 586 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 587 |
CBOP |
| 588 |
C !ROUTINE: FIND_RHOTEOS |
| 589 |
C !INTERFACE: |
| 590 |
SUBROUTINE FIND_RHOTEOS( |
| 591 |
I iMin, iMax, jMin, jMax, |
| 592 |
I locPres, tFld, sFld, |
| 593 |
O rhoNum, rhoDen, |
| 594 |
I myThid ) |
| 595 |
|
| 596 |
C !DESCRIPTION: \bv |
| 597 |
C *==========================================================* |
| 598 |
C | o SUBROUTINE FIND_RHONUMTEOS |
| 599 |
C | Calculates numerator and inverse of denominator of the |
| 600 |
C | TEOS-10 (McDougall et al. 2011) equation of state |
| 601 |
C | - the code is more or less a copy the teos-10 toolbox |
| 602 |
C | available at http://www.teos-10.org |
| 603 |
C *==========================================================* |
| 604 |
C \ev |
| 605 |
|
| 606 |
C !USES: |
| 607 |
IMPLICIT NONE |
| 608 |
C == Global variables == |
| 609 |
#include "SIZE.h" |
| 610 |
#include "EEPARAMS.h" |
| 611 |
#include "PARAMS.h" |
| 612 |
#include "EOS.h" |
| 613 |
|
| 614 |
C !INPUT/OUTPUT PARAMETERS: |
| 615 |
C == Routine arguments == |
| 616 |
INTEGER iMin,iMax,jMin,jMax |
| 617 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 618 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 619 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 620 |
_RL rhoNum (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 621 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 622 |
INTEGER myThid |
| 623 |
|
| 624 |
C !LOCAL VARIABLES: |
| 625 |
C == Local variables == |
| 626 |
INTEGER i,j |
| 627 |
_RL ct, sa, sqrtsa, p |
| 628 |
_RL den, epsln |
| 629 |
parameter ( epsln = 0. _d 0 ) |
| 630 |
CEOP |
| 631 |
DO j=jMin,jMax |
| 632 |
DO i=iMin,iMax |
| 633 |
C abbreviations |
| 634 |
ct = tFld(i,j) |
| 635 |
sa = sFld(i,j) |
| 636 |
IF ( sa .GT. 0. _d 0 ) THEN |
| 637 |
sqrtsa = SQRT(sa) |
| 638 |
ELSE |
| 639 |
sa = 0. _d 0 |
| 640 |
sqrtsa = 0. _d 0 |
| 641 |
ENDIF |
| 642 |
p = locPres(i,j)*SItodBar |
| 643 |
|
| 644 |
rhoNum(i,j) = teos(01) |
| 645 |
& + ct*(teos(02) + ct*(teos(03) + teos(04)*ct)) |
| 646 |
& + sa*(teos(05) + ct*(teos(06) + teos(07)*ct) |
| 647 |
& + sqrtsa*(teos(08) + ct*(teos(09) |
| 648 |
& + ct*(teos(10) + teos(11)*ct)))) |
| 649 |
& + p*(teos(12) + ct*(teos(13) + teos(14)*ct) |
| 650 |
& + sa*(teos(15) + teos(16)*ct) |
| 651 |
& + p*(teos(17) + ct*(teos(18) + teos(19)*ct) + teos(20)*sa)) |
| 652 |
|
| 653 |
den = teos(21) |
| 654 |
& + ct*(teos(22) + ct*(teos(23) + ct*(teos(24) + teos(25)*ct))) |
| 655 |
& + sa*(teos(26) + ct*(teos(27) + ct*(teos(28) |
| 656 |
& + ct*(teos(29) + teos(30)*ct))) |
| 657 |
& + teos(36)*sa |
| 658 |
& + sqrtsa*(teos(31) + ct*(teos(32) + ct*(teos(33) |
| 659 |
& + ct*(teos(34) + teos(35)*ct))))) |
| 660 |
& + p*(teos(37) + ct*(teos(38) + ct*(teos(39) + teos(40)*ct)) |
| 661 |
& + sa*(teos(41) + teos(42)*ct) |
| 662 |
& + p*(teos(43) + ct*(teos(44) + teos(45)*ct + teos(46)*sa) |
| 663 |
& + p*(teos(47) + teos(48)*ct))) |
| 664 |
|
| 665 |
rhoDen(i,j) = 1.0/(epsln+den) |
| 666 |
|
| 667 |
ENDDO |
| 668 |
ENDDO |
| 669 |
|
| 670 |
RETURN |
| 671 |
END |
| 672 |
|
| 673 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 674 |
CBOP |
| 675 |
C !ROUTINE: FIND_RHO_SCALAR |
| 676 |
C !INTERFACE: |
| 677 |
SUBROUTINE FIND_RHO_SCALAR( |
| 678 |
I tLoc, sLoc, pLoc, |
| 679 |
O rhoLoc, |
| 680 |
I myThid ) |
| 681 |
|
| 682 |
C !DESCRIPTION: \bv |
| 683 |
C *==========================================================* |
| 684 |
C | o SUBROUTINE FIND_RHO_SCALAR |
| 685 |
C | Calculates rho(S,T,p) |
| 686 |
C *==========================================================* |
| 687 |
C \ev |
| 688 |
|
| 689 |
C !USES: |
| 690 |
IMPLICIT NONE |
| 691 |
C == Global variables == |
| 692 |
#include "SIZE.h" |
| 693 |
#include "EEPARAMS.h" |
| 694 |
#include "PARAMS.h" |
| 695 |
#include "EOS.h" |
| 696 |
|
| 697 |
C !INPUT/OUTPUT PARAMETERS: |
| 698 |
C == Routine arguments == |
| 699 |
_RL tLoc, sLoc, pLoc |
| 700 |
_RL rhoLoc |
| 701 |
INTEGER myThid |
| 702 |
|
| 703 |
C !LOCAL VARIABLES: |
| 704 |
C == Local variables == |
| 705 |
_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
| 706 |
_RL ct, sa, sqrtsa, p |
| 707 |
_RL rfresh, rsalt, rhoP0 |
| 708 |
_RL bMfresh, bMsalt, bMpres, BulkMod |
| 709 |
_RL rhoNum, rhoDen, den, epsln |
| 710 |
PARAMETER ( epsln = 0. _d 0 ) |
| 711 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 712 |
CEOP |
| 713 |
|
| 714 |
rhoLoc = 0. _d 0 |
| 715 |
rhoP0 = 0. _d 0 |
| 716 |
bulkMod = 0. _d 0 |
| 717 |
rfresh = 0. _d 0 |
| 718 |
rsalt = 0. _d 0 |
| 719 |
bMfresh = 0. _d 0 |
| 720 |
bMsalt = 0. _d 0 |
| 721 |
bMpres = 0. _d 0 |
| 722 |
rhoNum = 0. _d 0 |
| 723 |
rhoDen = 0. _d 0 |
| 724 |
den = 0. _d 0 |
| 725 |
|
| 726 |
t1 = tLoc |
| 727 |
t2 = t1*t1 |
| 728 |
t3 = t2*t1 |
| 729 |
t4 = t3*t1 |
| 730 |
|
| 731 |
s1 = sLoc |
| 732 |
IF ( s1 .LT. 0. _d 0 ) THEN |
| 733 |
C issue a warning |
| 734 |
WRITE(msgBuf,'(A,E13.5)') |
| 735 |
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
| 736 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 737 |
& SQUEEZE_RIGHT , myThid ) |
| 738 |
s1 = 0. _d 0 |
| 739 |
ENDIF |
| 740 |
|
| 741 |
IF (equationOfState.EQ.'LINEAR') THEN |
| 742 |
|
| 743 |
rholoc = rhoNil*( |
| 744 |
& sBeta *(sLoc-sRef(1)) |
| 745 |
& -tAlpha*(tLoc-tRef(1)) |
| 746 |
& ) + rhoNil |
| 747 |
c rhoLoc = 0. _d 0 |
| 748 |
|
| 749 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
| 750 |
|
| 751 |
C this is not correct, there is a field eosSig0 which should be use here |
| 752 |
C but I DO not intent to include the reference level in this routine |
| 753 |
WRITE(msgBuf,'(A)') |
| 754 |
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
| 755 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 756 |
& SQUEEZE_RIGHT , myThid ) |
| 757 |
WRITE(msgBuf,'(A)') |
| 758 |
& ' computed correctly in this routine' |
| 759 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 760 |
& SQUEEZE_RIGHT , myThid ) |
| 761 |
rhoLoc = 0. _d 0 |
| 762 |
|
| 763 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
| 764 |
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
| 765 |
C nonlinear equation of state in pressure coordinates |
| 766 |
|
| 767 |
s3o2 = s1*SQRT(s1) |
| 768 |
|
| 769 |
p1 = pLoc*SItoBar |
| 770 |
p2 = p1*p1 |
| 771 |
|
| 772 |
C density of freshwater at the surface |
| 773 |
rfresh = |
| 774 |
& eosJMDCFw(1) |
| 775 |
& + eosJMDCFw(2)*t1 |
| 776 |
& + eosJMDCFw(3)*t2 |
| 777 |
& + eosJMDCFw(4)*t3 |
| 778 |
& + eosJMDCFw(5)*t4 |
| 779 |
& + eosJMDCFw(6)*t4*t1 |
| 780 |
C density of sea water at the surface |
| 781 |
rsalt = |
| 782 |
& s1*( |
| 783 |
& eosJMDCSw(1) |
| 784 |
& + eosJMDCSw(2)*t1 |
| 785 |
& + eosJMDCSw(3)*t2 |
| 786 |
& + eosJMDCSw(4)*t3 |
| 787 |
& + eosJMDCSw(5)*t4 |
| 788 |
& ) |
| 789 |
& + s3o2*( |
| 790 |
& eosJMDCSw(6) |
| 791 |
& + eosJMDCSw(7)*t1 |
| 792 |
& + eosJMDCSw(8)*t2 |
| 793 |
& ) |
| 794 |
& + eosJMDCSw(9)*s1*s1 |
| 795 |
|
| 796 |
rhoP0 = rfresh + rsalt |
| 797 |
|
| 798 |
C secant bulk modulus of fresh water at the surface |
| 799 |
bMfresh = |
| 800 |
& eosJMDCKFw(1) |
| 801 |
& + eosJMDCKFw(2)*t1 |
| 802 |
& + eosJMDCKFw(3)*t2 |
| 803 |
& + eosJMDCKFw(4)*t3 |
| 804 |
& + eosJMDCKFw(5)*t4 |
| 805 |
C secant bulk modulus of sea water at the surface |
| 806 |
bMsalt = |
| 807 |
& s1*( eosJMDCKSw(1) |
| 808 |
& + eosJMDCKSw(2)*t1 |
| 809 |
& + eosJMDCKSw(3)*t2 |
| 810 |
& + eosJMDCKSw(4)*t3 |
| 811 |
& ) |
| 812 |
& + s3o2*( eosJMDCKSw(5) |
| 813 |
& + eosJMDCKSw(6)*t1 |
| 814 |
& + eosJMDCKSw(7)*t2 |
| 815 |
& ) |
| 816 |
C secant bulk modulus of sea water at pressure p |
| 817 |
bMpres = |
| 818 |
& p1*( eosJMDCKP(1) |
| 819 |
& + eosJMDCKP(2)*t1 |
| 820 |
& + eosJMDCKP(3)*t2 |
| 821 |
& + eosJMDCKP(4)*t3 |
| 822 |
& ) |
| 823 |
& + p1*s1*( eosJMDCKP(5) |
| 824 |
& + eosJMDCKP(6)*t1 |
| 825 |
& + eosJMDCKP(7)*t2 |
| 826 |
& ) |
| 827 |
& + p1*s3o2*eosJMDCKP(8) |
| 828 |
& + p2*( eosJMDCKP(9) |
| 829 |
& + eosJMDCKP(10)*t1 |
| 830 |
& + eosJMDCKP(11)*t2 |
| 831 |
& ) |
| 832 |
& + p2*s1*( eosJMDCKP(12) |
| 833 |
& + eosJMDCKP(13)*t1 |
| 834 |
& + eosJMDCKP(14)*t2 |
| 835 |
& ) |
| 836 |
|
| 837 |
bulkMod = bMfresh + bMsalt + bMpres |
| 838 |
|
| 839 |
C density of sea water at pressure p |
| 840 |
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) |
| 841 |
|
| 842 |
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 843 |
|
| 844 |
sp5 = SQRT(s1) |
| 845 |
|
| 846 |
p1 = pLoc*SItodBar |
| 847 |
p1t1 = p1*t1 |
| 848 |
|
| 849 |
rhoNum = eosMDJWFnum(0) |
| 850 |
& + t1*(eosMDJWFnum(1) |
| 851 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 852 |
& + s1*(eosMDJWFnum(4) |
| 853 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 854 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 855 |
& + eosMDJWFnum(9)*s1 |
| 856 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 857 |
|
| 858 |
|
| 859 |
den = eosMDJWFden(0) |
| 860 |
& + t1*(eosMDJWFden(1) |
| 861 |
& + t1*(eosMDJWFden(2) |
| 862 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 863 |
& + s1*(eosMDJWFden(5) |
| 864 |
& + t1*(eosMDJWFden(6) |
| 865 |
& + eosMDJWFden(7)*t2) |
| 866 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 867 |
& + p1*(eosMDJWFden(10) |
| 868 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 869 |
|
| 870 |
rhoDen = 1.0/(epsln+den) |
| 871 |
|
| 872 |
rhoLoc = rhoNum*rhoDen |
| 873 |
|
| 874 |
ELSEIF( equationOfState .EQ. 'TEOS10' ) THEN |
| 875 |
|
| 876 |
ct = tLoc |
| 877 |
sa = sLoc |
| 878 |
IF ( sa .GT. 0. _d 0 ) THEN |
| 879 |
sqrtsa = SQRT(sa) |
| 880 |
ELSE |
| 881 |
sa = 0. _d 0 |
| 882 |
sqrtsa = 0. _d 0 |
| 883 |
ENDIF |
| 884 |
p = pLoc*SItodBar |
| 885 |
|
| 886 |
rhoNum = teos(01) |
| 887 |
& + ct*(teos(02) + ct*(teos(03) + teos(04)*ct)) |
| 888 |
& + sa*(teos(05) + ct*(teos(06) + teos(07)*ct) |
| 889 |
& + sqrtsa*(teos(08) + ct*(teos(09) |
| 890 |
& + ct*(teos(10) + teos(11)*ct)))) |
| 891 |
& + p*(teos(12) + ct*(teos(13) + teos(14)*ct) |
| 892 |
& + sa*(teos(15) + teos(16)*ct) |
| 893 |
& + p*(teos(17) + ct*(teos(18) + teos(19)*ct) + teos(20)*sa)) |
| 894 |
|
| 895 |
den = teos(21) |
| 896 |
& + ct*(teos(22) + ct*(teos(23) + ct*(teos(24) + teos(25)*ct))) |
| 897 |
& + sa*(teos(26) + ct*(teos(27) + ct*(teos(28) |
| 898 |
& + ct*(teos(29) + teos(30)*ct))) |
| 899 |
& + teos(36)*sa |
| 900 |
% + sqrtsa*(teos(31) + ct*(teos(32) + ct*(teos(33) |
| 901 |
& + ct*(teos(34) + teos(35)*ct))))) |
| 902 |
% + p*(teos(37) + ct*(teos(38) + ct*(teos(39) + teos(40)*ct)) |
| 903 |
% + sa*(teos(41) + teos(42)*ct) |
| 904 |
% + p*(teos(43) + ct*(teos(44) + teos(45)*ct + teos(46)*sa) |
| 905 |
% + p*(teos(47) + teos(48)*ct))) |
| 906 |
|
| 907 |
|
| 908 |
rhoDen = 1.0/(epsln+den) |
| 909 |
|
| 910 |
rhoLoc = rhoNum*rhoDen |
| 911 |
|
| 912 |
ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
| 913 |
C |
| 914 |
ELSE |
| 915 |
WRITE(msgBuf,'(3A)') |
| 916 |
& ' FIND_RHO_SCALAR : equationOfState = "', |
| 917 |
& equationOfState,'"' |
| 918 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 919 |
STOP 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
| 920 |
ENDIF |
| 921 |
|
| 922 |
RETURN |
| 923 |
END |
| 924 |
|
| 925 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 926 |
CBOP |
| 927 |
C !ROUTINE: LOOK_FOR_NEG_SALINITY |
| 928 |
C !INTERFACE: |
| 929 |
SUBROUTINE LOOK_FOR_NEG_SALINITY( |
| 930 |
I iMin, iMax, jMin, jMax, |
| 931 |
U sFld, |
| 932 |
I k, bi, bj, myThid ) |
| 933 |
|
| 934 |
C !DESCRIPTION: \bv |
| 935 |
C *==========================================================* |
| 936 |
C | o SUBROUTINE LOOK_FOR_NEG_SALINITY |
| 937 |
C | looks for and fixes negative salinity values |
| 938 |
C | this is necessary IF the equation of state uses |
| 939 |
C | the square root of salinity |
| 940 |
C *==========================================================* |
| 941 |
C | k - is the Salt level |
| 942 |
C *==========================================================* |
| 943 |
C \ev |
| 944 |
|
| 945 |
C !USES: |
| 946 |
IMPLICIT NONE |
| 947 |
C == Global variables == |
| 948 |
#include "SIZE.h" |
| 949 |
#include "EEPARAMS.h" |
| 950 |
#include "PARAMS.h" |
| 951 |
|
| 952 |
C !INPUT/OUTPUT PARAMETERS: |
| 953 |
C == Routine arguments == |
| 954 |
C k :: Level of Salt slice |
| 955 |
INTEGER iMin,iMax,jMin,jMax |
| 956 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 957 |
INTEGER k, bi, bj |
| 958 |
INTEGER myThid |
| 959 |
|
| 960 |
C !LOCAL VARIABLES: |
| 961 |
C == Local variables == |
| 962 |
INTEGER i,j, localWarning |
| 963 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 964 |
CEOP |
| 965 |
|
| 966 |
localWarning = 0 |
| 967 |
DO j=jMin,jMax |
| 968 |
DO i=iMin,iMax |
| 969 |
C abbreviations |
| 970 |
IF ( sFld(i,j) .LT. 0. _d 0 ) THEN |
| 971 |
localWarning = localWarning + 1 |
| 972 |
sFld(i,j) = 0. _d 0 |
| 973 |
ENDIF |
| 974 |
ENDDO |
| 975 |
ENDDO |
| 976 |
C issue a warning |
| 977 |
IF ( localWarning .GT. 0 ) THEN |
| 978 |
WRITE(msgBuf,'(2A,I5,A,2I4)') 'S/R LOOK_FOR_NEG_SALINITY:', |
| 979 |
& ' from level k =', k, ' ; bi,bj =', bi, bj |
| 980 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 981 |
& SQUEEZE_RIGHT , myThid ) |
| 982 |
WRITE(msgBuf,'(2A,I6,A)') 'S/R LOOK_FOR_NEG_SALINITY:', |
| 983 |
& ' reset to zero', localWarning, ' negative salinity.' |
| 984 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 985 |
& SQUEEZE_RIGHT , myThid ) |
| 986 |
ENDIF |
| 987 |
|
| 988 |
RETURN |
| 989 |
END |
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