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jmc |
1.2 |
C$Header: /u/gcmpack/MITgcm/model/src/seawater.F,v 1.1 2008/02/27 19:42:02 mlosch Exp $ |
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C$Name: $ |
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mlosch |
1.1 |
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#include "CPP_OPTIONS.h" |
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jmc |
1.2 |
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C-- File seawater.F: routines that compute quantities related to seawater. |
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C-- Contents |
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C-- o FIND_RHO_SCALAR: in-situ density for individual points |
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C-- o SW_PTMP: function to compute potential temperature |
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C-- o SW_TEMP: function to compute potential temperature |
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C-- o SW_ADTG: function to compute adiabatic tmperature gradient |
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C-- used by sw_ptmp |
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SUBROUTINE FIND_RHO_SCALAR( |
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mlosch |
1.1 |
I tLoc, sLoc, pLoc, |
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O rhoLoc, |
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I myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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jmc |
1.2 |
C | o SUBROUTINE FIND_RHO_SCALAR |
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C | Calculates [rho(S,T,p)-rhoConst] |
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mlosch |
1.1 |
C *==========================================================* |
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C \ev |
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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" |
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#include "PARAMS.h" |
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#include "EOS.h" |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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_RL sLoc, tLoc, pLoc |
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_RL rhoLoc |
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INTEGER myThid |
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C !LOCAL VARIABLES: |
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C == Local variables == |
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_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
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_RL rfresh, rsalt, rhoP0 |
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_RL bMfresh, bMsalt, bMpres, BulkMod |
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_RL rhoNum, rhoDen, den, epsln |
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parameter ( epsln = 0. _d 0 ) |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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CEOP |
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rhoLoc = 0. _d 0 |
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rhoP0 = 0. _d 0 |
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bulkMod = 0. _d 0 |
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rfresh = 0. _d 0 |
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rsalt = 0. _d 0 |
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bMfresh = 0. _d 0 |
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bMsalt = 0. _d 0 |
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bMpres = 0. _d 0 |
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rhoNum = 0. _d 0 |
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rhoDen = 0. _d 0 |
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den = 0. _d 0 |
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t1 = tLoc |
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t2 = t1*t1 |
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t3 = t2*t1 |
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t4 = t3*t1 |
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jmc |
1.2 |
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mlosch |
1.1 |
s1 = sLoc |
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IF ( s1 .LT. 0. _d 0 ) THEN |
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C issue a warning |
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jmc |
1.2 |
WRITE(msgBuf,'(A,E13.5)') |
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mlosch |
1.1 |
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
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CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
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& SQUEEZE_RIGHT , myThid ) |
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s1 = 0. _d 0 |
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ENDIF |
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IF (equationOfState.EQ.'LINEAR') THEN |
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rholoc = rhoNil*( |
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& sBeta *(sLoc-sRef(1)) |
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& -tAlpha*(tLoc-tRef(1)) |
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& ) + (rhoNil-rhoConst) |
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c rhoLoc = 0. _d 0 |
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ELSEIF (equationOfState.EQ.'POLY3') THEN |
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C this is not correct, there is a field eosSig0 which should be use here |
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C but I DO not intent to include the reference level in this routine |
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jmc |
1.2 |
WRITE(msgBuf,'(A)') |
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mlosch |
1.1 |
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
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CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
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& SQUEEZE_RIGHT , myThid ) |
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jmc |
1.2 |
WRITE(msgBuf,'(A)') |
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mlosch |
1.1 |
& ' computed correctly in this routine' |
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CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
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& SQUEEZE_RIGHT , myThid ) |
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rhoLoc = 0. _d 0 |
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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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s3o2 = s1*SQRT(s1) |
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jmc |
1.2 |
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mlosch |
1.1 |
p1 = pLoc*SItoBar |
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p2 = p1*p1 |
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C density of freshwater at the surface |
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jmc |
1.2 |
rfresh = |
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& eosJMDCFw(1) |
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mlosch |
1.1 |
& + eosJMDCFw(2)*t1 |
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& + eosJMDCFw(3)*t2 |
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& + eosJMDCFw(4)*t3 |
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& + eosJMDCFw(5)*t4 |
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& + eosJMDCFw(6)*t4*t1 |
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C density of sea water at the surface |
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jmc |
1.2 |
rsalt = |
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mlosch |
1.1 |
& s1*( |
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& eosJMDCSw(1) |
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& + eosJMDCSw(2)*t1 |
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& + eosJMDCSw(3)*t2 |
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& + eosJMDCSw(4)*t3 |
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& + eosJMDCSw(5)*t4 |
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& ) |
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& + s3o2*( |
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& eosJMDCSw(6) |
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& + eosJMDCSw(7)*t1 |
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& + eosJMDCSw(8)*t2 |
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& ) |
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& + eosJMDCSw(9)*s1*s1 |
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rhoP0 = rfresh + rsalt |
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C secant bulk modulus of fresh water at the surface |
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jmc |
1.2 |
bMfresh = |
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mlosch |
1.1 |
& eosJMDCKFw(1) |
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& + eosJMDCKFw(2)*t1 |
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& + eosJMDCKFw(3)*t2 |
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& + eosJMDCKFw(4)*t3 |
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& + eosJMDCKFw(5)*t4 |
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C secant bulk modulus of sea water at the surface |
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bMsalt = |
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& s1*( eosJMDCKSw(1) |
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& + eosJMDCKSw(2)*t1 |
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& + eosJMDCKSw(3)*t2 |
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& + eosJMDCKSw(4)*t3 |
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& ) |
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& + s3o2*( eosJMDCKSw(5) |
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& + eosJMDCKSw(6)*t1 |
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& + eosJMDCKSw(7)*t2 |
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& ) |
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C secant bulk modulus of sea water at pressure p |
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jmc |
1.2 |
bMpres = |
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mlosch |
1.1 |
& p1*( eosJMDCKP(1) |
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& + eosJMDCKP(2)*t1 |
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& + eosJMDCKP(3)*t2 |
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& + eosJMDCKP(4)*t3 |
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& ) |
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& + p1*s1*( eosJMDCKP(5) |
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& + eosJMDCKP(6)*t1 |
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& + eosJMDCKP(7)*t2 |
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& ) |
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& + p1*s3o2*eosJMDCKP(8) |
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& + p2*( eosJMDCKP(9) |
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& + eosJMDCKP(10)*t1 |
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& + eosJMDCKP(11)*t2 |
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& ) |
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& + p2*s1*( eosJMDCKP(12) |
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& + eosJMDCKP(13)*t1 |
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& + eosJMDCKP(14)*t2 |
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& ) |
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bulkMod = bMfresh + bMsalt + bMpres |
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jmc |
1.2 |
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mlosch |
1.1 |
C density of sea water at pressure p |
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rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) - rhoConst |
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ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
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jmc |
1.2 |
sp5 = SQRT(s1) |
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mlosch |
1.1 |
p1 = pLoc*SItodBar |
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p1t1 = p1*t1 |
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rhoNum = eosMDJWFnum(0) |
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jmc |
1.2 |
& + t1*(eosMDJWFnum(1) |
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& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
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mlosch |
1.1 |
& + s1*(eosMDJWFnum(4) |
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jmc |
1.2 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
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& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
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& + eosMDJWFnum(9)*s1 |
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mlosch |
1.1 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
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jmc |
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mlosch |
1.1 |
den = eosMDJWFden(0) |
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& + t1*(eosMDJWFden(1) |
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& + t1*(eosMDJWFden(2) |
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& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
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& + s1*(eosMDJWFden(5) |
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jmc |
1.2 |
& + t1*(eosMDJWFden(6) |
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& + eosMDJWFden(7)*t2) |
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& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
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mlosch |
1.1 |
& + p1*(eosMDJWFden(10) |
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& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
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jmc |
1.2 |
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rhoDen = 1.0/(epsln+den) |
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mlosch |
1.1 |
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rhoLoc = rhoNum*rhoDen - rhoConst |
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ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
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jmc |
1.2 |
C |
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mlosch |
1.1 |
ELSE |
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WRITE(msgBuf,'(3A)') |
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& ' FIND_RHO_SCALAR : equationOfState = "', |
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& equationOfState,'"' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
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ENDIF |
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jmc |
1.2 |
RETURN |
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mlosch |
1.1 |
END |
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C================================================================= |
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jmc |
1.2 |
_RL FUNCTION SW_PTMP (S,T,P,PR) |
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mlosch |
1.1 |
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c ================================================================== |
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c SUBROUTINE SW_PTMP |
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c ================================================================== |
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c |
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c o Calculates potential temperature as per UNESCO 1983 report. |
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c |
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c started: |
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c |
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c Armin Koehl akoehl@ucsd.edu |
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c |
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c ================================================================== |
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c SUBROUTINE SW_PTMP |
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c ================================================================== |
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C S = salinity [psu (PSS-78) ] |
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C T = temperature [degree C (IPTS-68)] |
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C P = pressure [db] |
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C PR = Reference pressure [db] |
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implicit none |
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c routine arguments |
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_RL S,T,P,PR |
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c local arguments |
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_RL del_P ,del_th, th, q |
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_RL onehalf, two, three |
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parameter ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
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c externals |
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_RL sw_adtg |
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external sw_adtg |
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c theta1 |
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del_P = PR - P |
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del_th = del_P*sw_adtg(S,T,P) |
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th = T + onehalf*del_th |
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q = del_th |
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c theta2 |
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del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
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th = th + (1 - 1/sqrt(two))*(del_th - q) |
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q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
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c theta3 |
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del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
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th = th + (1 + 1/sqrt(two))*(del_th - q) |
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q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
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c theta4 |
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del_th = del_P*sw_adtg(S,th,P+del_P) |
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SW_PTMP = th + (del_th - two*q)/(two*three) |
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return |
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end |
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C====================================================================== |
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CBOP |
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C !ROUTINE: SW_TEMP |
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C !INTERFACE: |
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_RL FUNCTION SW_TEMP( s, t, p, pr ) |
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C !DESCRIPTION: \bv |
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C *=============================================================* |
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C | S/R SW_TEMP |
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jmc |
1.2 |
C | o compute in-situ temperature from potential temperature |
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mlosch |
1.1 |
C *=============================================================* |
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C |
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C REFERENCES: |
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C Fofonoff, P. and Millard, R.C. Jr |
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C Unesco 1983. Algorithms for computation of fundamental properties of |
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C seawater, 1983. _Unesco Tech. Pap. in Mar. Sci._, No. 44, 53 pp. |
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C Eqn.(31) p.39 |
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jmc |
1.2 |
C |
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mlosch |
1.1 |
C Bryden, H. 1973. |
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C "New Polynomials for thermal expansion, adiabatic temperature gradient |
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C and potential temperature of sea water." |
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C DEEP-SEA RES., 1973, Vol20,401-408. |
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C |
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C !USES: |
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IMPLICIT NONE |
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| 309 |
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C === Global variables === |
| 310 |
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CML#include "SIZE.h" |
| 311 |
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CML#include "EEPARAMS.h" |
| 312 |
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CML#include "PARAMS.h" |
| 313 |
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CML#include "GRID.h" |
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CML#include "DYNVARS.h" |
| 315 |
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CML#include "FFIELDS.h" |
| 316 |
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CML#include "SHELFICE.h" |
| 317 |
jmc |
1.2 |
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| 318 |
mlosch |
1.1 |
C !INPUT/OUTPUT PARAMETERS: |
| 319 |
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C === Routine arguments === |
| 320 |
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C s :: salinity |
| 321 |
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C t :: potential temperature |
| 322 |
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C p :: pressure |
| 323 |
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c pr :: reference pressure |
| 324 |
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C myIter :: iteration counter for this thread |
| 325 |
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C myTime :: time counter for this thread |
| 326 |
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C myThid :: thread number for this instance of the routine. |
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_RL s, t, p, pr |
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_RL myTime |
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INTEGER myIter |
| 330 |
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INTEGER myThid |
| 331 |
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CEOP |
| 332 |
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| 333 |
jmc |
1.2 |
C !LOCAL VARIABLES |
| 334 |
mlosch |
1.1 |
C === Local variables === |
| 335 |
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_RL del_P ,del_th, th, q |
| 336 |
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_RL onehalf, two, three |
| 337 |
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PARAMETER ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
| 338 |
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| 339 |
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c externals |
| 340 |
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_RL sw_adtg |
| 341 |
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EXTERNAL sw_adtg |
| 342 |
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c theta1 |
| 343 |
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C-- here we swap P and PR in order to get in-situ temperature |
| 344 |
|
|
C del_P = PR - P ! to get potential from in-situ temperature |
| 345 |
|
|
del_P = P - PR ! to get in-situ from potential temperature |
| 346 |
|
|
del_th = del_P*sw_adtg(S,T,P) |
| 347 |
|
|
th = T + onehalf*del_th |
| 348 |
|
|
q = del_th |
| 349 |
|
|
c theta2 |
| 350 |
|
|
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
| 351 |
|
|
|
| 352 |
|
|
th = th + (1 - 1/sqrt(two))*(del_th - q) |
| 353 |
|
|
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
| 354 |
|
|
|
| 355 |
|
|
c theta3 |
| 356 |
|
|
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
| 357 |
|
|
th = th + (1 + 1/sqrt(two))*(del_th - q) |
| 358 |
|
|
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
| 359 |
|
|
|
| 360 |
|
|
c theta4 |
| 361 |
|
|
del_th = del_P*sw_adtg(S,th,P+del_P) |
| 362 |
|
|
SW_temp= th + (del_th - two*q)/(two*three) |
| 363 |
|
|
|
| 364 |
|
|
RETURN |
| 365 |
|
|
END |
| 366 |
|
|
|
| 367 |
|
|
C====================================================================== |
| 368 |
|
|
|
| 369 |
jmc |
1.2 |
_RL FUNCTION SW_ADTG (S,T,P) |
| 370 |
mlosch |
1.1 |
|
| 371 |
|
|
c ================================================================== |
| 372 |
|
|
c SUBROUTINE SW_ADTG |
| 373 |
|
|
c ================================================================== |
| 374 |
|
|
c |
| 375 |
|
|
c o Calculates adiabatic temperature gradient as per UNESCO 1983 routines. |
| 376 |
|
|
c |
| 377 |
|
|
c started: |
| 378 |
|
|
c |
| 379 |
|
|
c Armin Koehl akoehl@ucsd.edu |
| 380 |
|
|
c |
| 381 |
|
|
c ================================================================== |
| 382 |
|
|
c SUBROUTINE SW_ADTG |
| 383 |
|
|
c ================================================================== |
| 384 |
|
|
|
| 385 |
|
|
implicit none |
| 386 |
|
|
_RL a0,a1,a2,a3,b0,b1,c0,c1,c2,c3,d0,d1,e0,e1,e2 |
| 387 |
|
|
_RL S,T,P |
| 388 |
|
|
_RL sref |
| 389 |
|
|
|
| 390 |
|
|
sref = 35. _d 0 |
| 391 |
|
|
a0 = 3.5803 _d -5 |
| 392 |
|
|
a1 = +8.5258 _d -6 |
| 393 |
|
|
a2 = -6.836 _d -8 |
| 394 |
|
|
a3 = 6.6228 _d -10 |
| 395 |
|
|
|
| 396 |
|
|
b0 = +1.8932 _d -6 |
| 397 |
|
|
b1 = -4.2393 _d -8 |
| 398 |
|
|
|
| 399 |
|
|
c0 = +1.8741 _d -8 |
| 400 |
|
|
c1 = -6.7795 _d -10 |
| 401 |
|
|
c2 = +8.733 _d -12 |
| 402 |
|
|
c3 = -5.4481 _d -14 |
| 403 |
|
|
|
| 404 |
|
|
d0 = -1.1351 _d -10 |
| 405 |
|
|
d1 = 2.7759 _d -12 |
| 406 |
|
|
|
| 407 |
|
|
e0 = -4.6206 _d -13 |
| 408 |
|
|
e1 = +1.8676 _d -14 |
| 409 |
|
|
e2 = -2.1687 _d -16 |
| 410 |
|
|
|
| 411 |
|
|
SW_ADTG = a0 + (a1 + (a2 + a3*T)*T)*T |
| 412 |
|
|
& + (b0 + b1*T)*(S-sref) |
| 413 |
|
|
& + ( (c0 + (c1 + (c2 + c3*T)*T)*T) + (d0 + d1*T)*(S-sref) )*P |
| 414 |
|
|
& + ( e0 + (e1 + e2*T)*T )*P*P |
| 415 |
jmc |
1.2 |
return |
| 416 |
mlosch |
1.1 |
end |
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