5 |
|
|
6 |
C-- File seawater.F: routines that compute quantities related to seawater. |
C-- File seawater.F: routines that compute quantities related to seawater. |
7 |
C-- Contents |
C-- Contents |
|
C-- o FIND_RHO_SCALAR: in-situ density for individual points |
|
8 |
C-- o SW_PTMP: function to compute potential temperature |
C-- o SW_PTMP: function to compute potential temperature |
9 |
C-- o SW_TEMP: function to compute potential temperature |
C-- o SW_TEMP: function to compute in-situ temperature from pot. temp. |
10 |
C-- o SW_ADTG: function to compute adiabatic tmperature gradient |
C-- o SW_ADTG: function to compute adiabatic temperature gradient |
11 |
C-- used by sw_ptmp |
C-- (used by both SW_PTMP & SW_TEMP) |
12 |
|
|
13 |
SUBROUTINE FIND_RHO_SCALAR( |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
14 |
I tLoc, sLoc, pLoc, |
|
15 |
O rhoLoc, |
CBOP |
16 |
I myThid ) |
C !ROUTINE: SW_PTMP |
17 |
|
C !INTERFACE: |
18 |
|
_RL FUNCTION SW_PTMP (S,T,P,PR) |
19 |
|
|
20 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
21 |
C *==========================================================* |
C *=============================================================* |
22 |
C | o SUBROUTINE FIND_RHO_SCALAR |
C | S/R SW_PTMP |
23 |
C | Calculates rho(S,T,p) |
C | o compute potential temperature as per UNESCO 1983 report. |
24 |
C *==========================================================* |
C *=============================================================* |
25 |
C \ev |
C |
26 |
|
C started: |
27 |
|
C Armin Koehl akoehl@ucsd.edu |
28 |
|
C |
29 |
|
C ================================================================== |
30 |
|
C SUBROUTINE SW_PTMP |
31 |
|
C ================================================================== |
32 |
|
C S :: salinity [psu (PSS-78) ] |
33 |
|
C T :: temperature [degree C (IPTS-68)] |
34 |
|
C P :: pressure [db] |
35 |
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C PR :: Reference pressure [db] |
36 |
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|
37 |
C !USES: |
C !USES: |
38 |
IMPLICIT NONE |
IMPLICIT NONE |
|
C == Global variables == |
|
|
#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
|
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#include "EOS.h" |
|
39 |
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|
40 |
C !INPUT/OUTPUT PARAMETERS: |
C !INPUT/OUTPUT PARAMETERS: |
|
C == Routine arguments == |
|
|
_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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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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WRITE(msgBuf,'(A,E13.5)') |
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& ' 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 |
|
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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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WRITE(msgBuf,'(A)') |
|
|
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
|
|
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
|
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& SQUEEZE_RIGHT , myThid ) |
|
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WRITE(msgBuf,'(A)') |
|
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& ' 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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|
|
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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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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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rfresh = |
|
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& eosJMDCFw(1) |
|
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& + 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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rsalt = |
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& 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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bMfresh = |
|
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& 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 |
|
|
C secant bulk modulus of sea water at the surface |
|
|
bMsalt = |
|
|
& s1*( eosJMDCKSw(1) |
|
|
& + eosJMDCKSw(2)*t1 |
|
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& + eosJMDCKSw(3)*t2 |
|
|
& + eosJMDCKSw(4)*t3 |
|
|
& ) |
|
|
& + s3o2*( eosJMDCKSw(5) |
|
|
& + eosJMDCKSw(6)*t1 |
|
|
& + eosJMDCKSw(7)*t2 |
|
|
& ) |
|
|
C secant bulk modulus of sea water at pressure p |
|
|
bMpres = |
|
|
& p1*( eosJMDCKP(1) |
|
|
& + 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) |
|
|
& + eosJMDCKP(10)*t1 |
|
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& + eosJMDCKP(11)*t2 |
|
|
& ) |
|
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& + p2*s1*( eosJMDCKP(12) |
|
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& + eosJMDCKP(13)*t1 |
|
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& + eosJMDCKP(14)*t2 |
|
|
& ) |
|
|
|
|
|
bulkMod = bMfresh + bMsalt + bMpres |
|
|
|
|
|
C density of sea water at pressure p |
|
|
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) |
|
|
|
|
|
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
|
|
|
|
|
sp5 = SQRT(s1) |
|
|
|
|
|
p1 = pLoc*SItodBar |
|
|
p1t1 = p1*t1 |
|
|
|
|
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rhoNum = eosMDJWFnum(0) |
|
|
& + t1*(eosMDJWFnum(1) |
|
|
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
|
|
& + s1*(eosMDJWFnum(4) |
|
|
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
|
|
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
|
|
& + eosMDJWFnum(9)*s1 |
|
|
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
|
|
|
|
|
|
|
|
den = eosMDJWFden(0) |
|
|
& + t1*(eosMDJWFden(1) |
|
|
& + t1*(eosMDJWFden(2) |
|
|
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
|
|
& + s1*(eosMDJWFden(5) |
|
|
& + t1*(eosMDJWFden(6) |
|
|
& + eosMDJWFden(7)*t2) |
|
|
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
|
|
& + p1*(eosMDJWFden(10) |
|
|
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
|
|
|
|
|
rhoDen = 1.0/(epsln+den) |
|
|
|
|
|
rhoLoc = rhoNum*rhoDen |
|
|
|
|
|
ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
|
|
C |
|
|
ELSE |
|
|
WRITE(msgBuf,'(3A)') |
|
|
& ' FIND_RHO_SCALAR : equationOfState = "', |
|
|
& equationOfState,'"' |
|
|
CALL PRINT_ERROR( msgBuf, myThid ) |
|
|
STOP 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
|
|
ENDIF |
|
|
|
|
|
RETURN |
|
|
END |
|
|
|
|
|
C================================================================= |
|
|
|
|
|
_RL FUNCTION SW_PTMP (S,T,P,PR) |
|
|
|
|
|
c ================================================================== |
|
|
c SUBROUTINE SW_PTMP |
|
|
c ================================================================== |
|
|
c |
|
|
c o Calculates potential temperature as per UNESCO 1983 report. |
|
|
c |
|
|
c started: |
|
|
c |
|
|
c Armin Koehl akoehl@ucsd.edu |
|
|
c |
|
|
c ================================================================== |
|
|
c SUBROUTINE SW_PTMP |
|
|
c ================================================================== |
|
|
C S = salinity [psu (PSS-78) ] |
|
|
C T = temperature [degree C (IPTS-68)] |
|
|
C P = pressure [db] |
|
|
C PR = Reference pressure [db] |
|
|
|
|
|
implicit none |
|
|
|
|
|
c routine arguments |
|
41 |
_RL S,T,P,PR |
_RL S,T,P,PR |
42 |
|
|
43 |
c local arguments |
C !FUNCTIONS: |
44 |
|
_RL sw_adtg |
45 |
|
EXTERNAL sw_adtg |
46 |
|
|
47 |
|
C !LOCAL VARIABLES |
48 |
_RL del_P ,del_th, th, q |
_RL del_P ,del_th, th, q |
49 |
_RL onehalf, two, three |
_RL onehalf, two, three |
50 |
parameter ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
PARAMETER ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
51 |
|
CEOP |
52 |
|
|
53 |
c externals |
C theta1 |
|
_RL sw_adtg |
|
|
external sw_adtg |
|
|
c theta1 |
|
54 |
del_P = PR - P |
del_P = PR - P |
55 |
del_th = del_P*sw_adtg(S,T,P) |
del_th = del_P*sw_adtg(S,T,P) |
56 |
th = T + onehalf*del_th |
th = T + onehalf*del_th |
57 |
q = del_th |
q = del_th |
58 |
c theta2 |
C theta2 |
59 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
60 |
|
|
61 |
th = th + (1 - 1/sqrt(two))*(del_th - q) |
th = th + (1 - 1/sqrt(two))*(del_th - q) |
62 |
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
63 |
|
|
64 |
c theta3 |
C theta3 |
65 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
66 |
th = th + (1 + 1/sqrt(two))*(del_th - q) |
th = th + (1 + 1/sqrt(two))*(del_th - q) |
67 |
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
68 |
|
|
69 |
c theta4 |
C theta4 |
70 |
del_th = del_P*sw_adtg(S,th,P+del_P) |
del_th = del_P*sw_adtg(S,th,P+del_P) |
71 |
SW_PTMP = th + (del_th - two*q)/(two*three) |
SW_PTMP = th + (del_th - two*q)/(two*three) |
|
return |
|
|
end |
|
72 |
|
|
73 |
C====================================================================== |
RETURN |
74 |
|
END |
75 |
|
|
76 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
77 |
|
|
78 |
CBOP |
CBOP |
79 |
C !ROUTINE: SW_TEMP |
C !ROUTINE: SW_TEMP |
80 |
C !INTERFACE: |
C !INTERFACE: |
81 |
_RL FUNCTION SW_TEMP( s, t, p, pr ) |
_RL FUNCTION SW_TEMP( S, T, P, PR ) |
82 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
83 |
C *=============================================================* |
C *=============================================================* |
84 |
C | S/R SW_TEMP |
C | S/R SW_TEMP |
95 |
C "New Polynomials for thermal expansion, adiabatic temperature gradient |
C "New Polynomials for thermal expansion, adiabatic temperature gradient |
96 |
C and potential temperature of sea water." |
C and potential temperature of sea water." |
97 |
C DEEP-SEA RES., 1973, Vol20,401-408. |
C DEEP-SEA RES., 1973, Vol20,401-408. |
|
C |
|
98 |
|
|
99 |
C !USES: |
C !USES: |
100 |
IMPLICIT NONE |
IMPLICIT NONE |
|
|
|
101 |
C === Global variables === |
C === Global variables === |
|
CML#include "SIZE.h" |
|
|
CML#include "EEPARAMS.h" |
|
|
CML#include "PARAMS.h" |
|
|
CML#include "GRID.h" |
|
|
CML#include "DYNVARS.h" |
|
|
CML#include "FFIELDS.h" |
|
|
CML#include "SHELFICE.h" |
|
102 |
|
|
103 |
C !INPUT/OUTPUT PARAMETERS: |
C !INPUT/OUTPUT PARAMETERS: |
104 |
C === Routine arguments === |
C === Routine arguments === |
105 |
C s :: salinity |
C S :: salinity |
106 |
C t :: potential temperature |
C T :: potential temperature |
107 |
C p :: pressure |
C P :: pressure |
108 |
c pr :: reference pressure |
C PR :: reference pressure |
109 |
C myIter :: iteration counter for this thread |
_RL S, T, P, PR |
|
C myTime :: time counter for this thread |
|
|
C myThid :: thread number for this instance of the routine. |
|
|
_RL s, t, p, pr |
|
|
_RL myTime |
|
|
INTEGER myIter |
|
|
INTEGER myThid |
|
110 |
CEOP |
CEOP |
111 |
|
|
112 |
C !LOCAL VARIABLES |
C !FUNCTIONS: |
113 |
C === Local variables === |
_RL sw_adtg |
114 |
|
EXTERNAL sw_adtg |
115 |
|
|
116 |
|
C !LOCAL VARIABLES: |
117 |
_RL del_P ,del_th, th, q |
_RL del_P ,del_th, th, q |
118 |
_RL onehalf, two, three |
_RL onehalf, two, three |
119 |
PARAMETER ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
PARAMETER ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
120 |
|
|
121 |
c externals |
C theta1 |
|
_RL sw_adtg |
|
|
EXTERNAL sw_adtg |
|
|
c theta1 |
|
122 |
C-- here we swap P and PR in order to get in-situ temperature |
C-- here we swap P and PR in order to get in-situ temperature |
123 |
C del_P = PR - P ! to get potential from in-situ temperature |
C del_P = PR - P ! to get potential from in-situ temperature |
124 |
del_P = P - PR ! to get in-situ from potential temperature |
del_P = P - PR ! to get in-situ from potential temperature |
125 |
del_th = del_P*sw_adtg(S,T,P) |
del_th = del_P*sw_adtg(S,T,P) |
126 |
th = T + onehalf*del_th |
th = T + onehalf*del_th |
127 |
q = del_th |
q = del_th |
128 |
c theta2 |
C theta2 |
129 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
130 |
|
|
131 |
th = th + (1 - 1/sqrt(two))*(del_th - q) |
th = th + (1 - 1/sqrt(two))*(del_th - q) |
132 |
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
133 |
|
|
134 |
c theta3 |
C theta3 |
135 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
136 |
th = th + (1 + 1/sqrt(two))*(del_th - q) |
th = th + (1 + 1/sqrt(two))*(del_th - q) |
137 |
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
138 |
|
|
139 |
c theta4 |
C theta4 |
140 |
del_th = del_P*sw_adtg(S,th,P+del_P) |
del_th = del_P*sw_adtg(S,th,P+del_P) |
141 |
SW_temp= th + (del_th - two*q)/(two*three) |
SW_temp= th + (del_th - two*q)/(two*three) |
142 |
|
|
143 |
RETURN |
RETURN |
144 |
END |
END |
145 |
|
|
146 |
C====================================================================== |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
147 |
|
|
148 |
|
CBOP |
149 |
|
C !ROUTINE: SW_ADTG |
150 |
|
C !INTERFACE: |
151 |
_RL FUNCTION SW_ADTG (S,T,P) |
_RL FUNCTION SW_ADTG (S,T,P) |
152 |
|
|
153 |
c ================================================================== |
C !DESCRIPTION: \bv |
154 |
c SUBROUTINE SW_ADTG |
C *=============================================================* |
155 |
c ================================================================== |
C | S/R SW_ADTG |
156 |
c |
C | o compute adiabatic temperature gradient as per UNESCO 1983 routines. |
157 |
c o Calculates adiabatic temperature gradient as per UNESCO 1983 routines. |
C *=============================================================* |
158 |
c |
C |
159 |
c started: |
C started: |
160 |
c |
C Armin Koehl akoehl@ucsd.edu |
|
c Armin Koehl akoehl@ucsd.edu |
|
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c |
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c ================================================================== |
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c SUBROUTINE SW_ADTG |
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c ================================================================== |
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implicit none |
C !USES: |
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_RL a0,a1,a2,a3,b0,b1,c0,c1,c2,c3,d0,d1,e0,e1,e2 |
IMPLICIT NONE |
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C !INPUT/OUTPUT PARAMETERS: |
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_RL S,T,P |
_RL S,T,P |
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C !LOCAL VARIABLES: |
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_RL a0,a1,a2,a3,b0,b1,c0,c1,c2,c3,d0,d1,e0,e1,e2 |
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_RL sref |
_RL sref |
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CEOP |
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sref = 35. _d 0 |
sref = 35. _d 0 |
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a0 = 3.5803 _d -5 |
a0 = 3.5803 _d -5 |
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& + (b0 + b1*T)*(S-sref) |
& + (b0 + b1*T)*(S-sref) |
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& + ( (c0 + (c1 + (c2 + c3*T)*T)*T) + (d0 + d1*T)*(S-sref) )*P |
& + ( (c0 + (c1 + (c2 + c3*T)*T)*T) + (d0 + d1*T)*(S-sref) )*P |
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& + ( e0 + (e1 + e2*T)*T )*P*P |
& + ( e0 + (e1 + e2*T)*T )*P*P |
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return |
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end |
RETURN |
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END |