| 1 |
C$Header: $ |
| 2 |
C$Name: $ |
| 3 |
|
| 4 |
#include "CPP_OPTIONS.h" |
| 5 |
C |
| 6 |
C This file contains routines that compute quantities related to |
| 7 |
C seawater: |
| 8 |
C find_rho_scalar: in-situ density for individual points |
| 9 |
C sw_ptmp: function to compute potential temperature |
| 10 |
C sw_adtg: function to compute adiabatic tmperature gradient |
| 11 |
C used by sw_ptmp |
| 12 |
C |
| 13 |
SUBROUTINE FIND_RHO_SCALAR( |
| 14 |
I tLoc, sLoc, pLoc, |
| 15 |
O rhoLoc, |
| 16 |
I myThid ) |
| 17 |
|
| 18 |
C !DESCRIPTION: \bv |
| 19 |
C *==========================================================* |
| 20 |
C | o SUBROUTINE FIND_RHO_SCALAR |
| 21 |
C | Calculates [rho(S,T,p)-rhoConst] |
| 22 |
C *==========================================================* |
| 23 |
C \ev |
| 24 |
|
| 25 |
C !USES: |
| 26 |
IMPLICIT NONE |
| 27 |
C == Global variables == |
| 28 |
#include "SIZE.h" |
| 29 |
#include "EEPARAMS.h" |
| 30 |
#include "PARAMS.h" |
| 31 |
#include "EOS.h" |
| 32 |
|
| 33 |
C !INPUT/OUTPUT PARAMETERS: |
| 34 |
C == Routine arguments == |
| 35 |
_RL sLoc, tLoc, pLoc |
| 36 |
_RL rhoLoc |
| 37 |
INTEGER myThid |
| 38 |
|
| 39 |
C !LOCAL VARIABLES: |
| 40 |
C == Local variables == |
| 41 |
|
| 42 |
_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
| 43 |
_RL rfresh, rsalt, rhoP0 |
| 44 |
_RL bMfresh, bMsalt, bMpres, BulkMod |
| 45 |
_RL rhoNum, rhoDen, den, epsln |
| 46 |
parameter ( epsln = 0. _d 0 ) |
| 47 |
|
| 48 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 49 |
CEOP |
| 50 |
|
| 51 |
rhoLoc = 0. _d 0 |
| 52 |
rhoP0 = 0. _d 0 |
| 53 |
bulkMod = 0. _d 0 |
| 54 |
rfresh = 0. _d 0 |
| 55 |
rsalt = 0. _d 0 |
| 56 |
bMfresh = 0. _d 0 |
| 57 |
bMsalt = 0. _d 0 |
| 58 |
bMpres = 0. _d 0 |
| 59 |
rhoNum = 0. _d 0 |
| 60 |
rhoDen = 0. _d 0 |
| 61 |
den = 0. _d 0 |
| 62 |
|
| 63 |
t1 = tLoc |
| 64 |
t2 = t1*t1 |
| 65 |
t3 = t2*t1 |
| 66 |
t4 = t3*t1 |
| 67 |
|
| 68 |
s1 = sLoc |
| 69 |
IF ( s1 .LT. 0. _d 0 ) THEN |
| 70 |
C issue a warning |
| 71 |
WRITE(msgBuf,'(A,E13.5)') |
| 72 |
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
| 73 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 74 |
& SQUEEZE_RIGHT , myThid ) |
| 75 |
s1 = 0. _d 0 |
| 76 |
ENDIF |
| 77 |
|
| 78 |
IF (equationOfState.EQ.'LINEAR') THEN |
| 79 |
|
| 80 |
rholoc = rhoNil*( |
| 81 |
& sBeta *(sLoc-sRef(1)) |
| 82 |
& -tAlpha*(tLoc-tRef(1)) |
| 83 |
& ) + (rhoNil-rhoConst) |
| 84 |
c rhoLoc = 0. _d 0 |
| 85 |
|
| 86 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
| 87 |
|
| 88 |
C this is not correct, there is a field eosSig0 which should be use here |
| 89 |
C but I DO not intent to include the reference level in this routine |
| 90 |
WRITE(msgBuf,'(A)') |
| 91 |
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
| 92 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 93 |
& SQUEEZE_RIGHT , myThid ) |
| 94 |
WRITE(msgBuf,'(A)') |
| 95 |
& ' computed correctly in this routine' |
| 96 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 97 |
& SQUEEZE_RIGHT , myThid ) |
| 98 |
rhoLoc = 0. _d 0 |
| 99 |
|
| 100 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
| 101 |
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
| 102 |
C nonlinear equation of state in pressure coordinates |
| 103 |
|
| 104 |
s3o2 = s1*SQRT(s1) |
| 105 |
|
| 106 |
p1 = pLoc*SItoBar |
| 107 |
p2 = p1*p1 |
| 108 |
|
| 109 |
C density of freshwater at the surface |
| 110 |
rfresh = |
| 111 |
& eosJMDCFw(1) |
| 112 |
& + eosJMDCFw(2)*t1 |
| 113 |
& + eosJMDCFw(3)*t2 |
| 114 |
& + eosJMDCFw(4)*t3 |
| 115 |
& + eosJMDCFw(5)*t4 |
| 116 |
& + eosJMDCFw(6)*t4*t1 |
| 117 |
C density of sea water at the surface |
| 118 |
rsalt = |
| 119 |
& s1*( |
| 120 |
& eosJMDCSw(1) |
| 121 |
& + eosJMDCSw(2)*t1 |
| 122 |
& + eosJMDCSw(3)*t2 |
| 123 |
& + eosJMDCSw(4)*t3 |
| 124 |
& + eosJMDCSw(5)*t4 |
| 125 |
& ) |
| 126 |
& + s3o2*( |
| 127 |
& eosJMDCSw(6) |
| 128 |
& + eosJMDCSw(7)*t1 |
| 129 |
& + eosJMDCSw(8)*t2 |
| 130 |
& ) |
| 131 |
& + eosJMDCSw(9)*s1*s1 |
| 132 |
|
| 133 |
rhoP0 = rfresh + rsalt |
| 134 |
|
| 135 |
C secant bulk modulus of fresh water at the surface |
| 136 |
bMfresh = |
| 137 |
& eosJMDCKFw(1) |
| 138 |
& + eosJMDCKFw(2)*t1 |
| 139 |
& + eosJMDCKFw(3)*t2 |
| 140 |
& + eosJMDCKFw(4)*t3 |
| 141 |
& + eosJMDCKFw(5)*t4 |
| 142 |
C secant bulk modulus of sea water at the surface |
| 143 |
bMsalt = |
| 144 |
& s1*( eosJMDCKSw(1) |
| 145 |
& + eosJMDCKSw(2)*t1 |
| 146 |
& + eosJMDCKSw(3)*t2 |
| 147 |
& + eosJMDCKSw(4)*t3 |
| 148 |
& ) |
| 149 |
& + s3o2*( eosJMDCKSw(5) |
| 150 |
& + eosJMDCKSw(6)*t1 |
| 151 |
& + eosJMDCKSw(7)*t2 |
| 152 |
& ) |
| 153 |
C secant bulk modulus of sea water at pressure p |
| 154 |
bMpres = |
| 155 |
& p1*( eosJMDCKP(1) |
| 156 |
& + eosJMDCKP(2)*t1 |
| 157 |
& + eosJMDCKP(3)*t2 |
| 158 |
& + eosJMDCKP(4)*t3 |
| 159 |
& ) |
| 160 |
& + p1*s1*( eosJMDCKP(5) |
| 161 |
& + eosJMDCKP(6)*t1 |
| 162 |
& + eosJMDCKP(7)*t2 |
| 163 |
& ) |
| 164 |
& + p1*s3o2*eosJMDCKP(8) |
| 165 |
& + p2*( eosJMDCKP(9) |
| 166 |
& + eosJMDCKP(10)*t1 |
| 167 |
& + eosJMDCKP(11)*t2 |
| 168 |
& ) |
| 169 |
& + p2*s1*( eosJMDCKP(12) |
| 170 |
& + eosJMDCKP(13)*t1 |
| 171 |
& + eosJMDCKP(14)*t2 |
| 172 |
& ) |
| 173 |
|
| 174 |
bulkMod = bMfresh + bMsalt + bMpres |
| 175 |
|
| 176 |
C density of sea water at pressure p |
| 177 |
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) - rhoConst |
| 178 |
|
| 179 |
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 180 |
|
| 181 |
sp5 = SQRT(s1) |
| 182 |
|
| 183 |
p1 = pLoc*SItodBar |
| 184 |
p1t1 = p1*t1 |
| 185 |
|
| 186 |
rhoNum = eosMDJWFnum(0) |
| 187 |
& + t1*(eosMDJWFnum(1) |
| 188 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 189 |
& + s1*(eosMDJWFnum(4) |
| 190 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 191 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 192 |
& + eosMDJWFnum(9)*s1 |
| 193 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 194 |
|
| 195 |
|
| 196 |
den = eosMDJWFden(0) |
| 197 |
& + t1*(eosMDJWFden(1) |
| 198 |
& + t1*(eosMDJWFden(2) |
| 199 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 200 |
& + s1*(eosMDJWFden(5) |
| 201 |
& + t1*(eosMDJWFden(6) |
| 202 |
& + eosMDJWFden(7)*t2) |
| 203 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 204 |
& + p1*(eosMDJWFden(10) |
| 205 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 206 |
|
| 207 |
rhoDen = 1.0/(epsln+den) |
| 208 |
|
| 209 |
rhoLoc = rhoNum*rhoDen - rhoConst |
| 210 |
|
| 211 |
ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
| 212 |
C |
| 213 |
ELSE |
| 214 |
WRITE(msgBuf,'(3A)') |
| 215 |
& ' FIND_RHO_SCALAR : equationOfState = "', |
| 216 |
& equationOfState,'"' |
| 217 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 218 |
STOP 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
| 219 |
ENDIF |
| 220 |
|
| 221 |
RETURN |
| 222 |
END |
| 223 |
|
| 224 |
C================================================================= |
| 225 |
|
| 226 |
_RL function SW_PTMP (S,T,P,PR) |
| 227 |
|
| 228 |
c ================================================================== |
| 229 |
c SUBROUTINE SW_PTMP |
| 230 |
c ================================================================== |
| 231 |
c |
| 232 |
c o Calculates potential temperature as per UNESCO 1983 report. |
| 233 |
c |
| 234 |
c started: |
| 235 |
c |
| 236 |
c Armin Koehl akoehl@ucsd.edu |
| 237 |
c |
| 238 |
c ================================================================== |
| 239 |
c SUBROUTINE SW_PTMP |
| 240 |
c ================================================================== |
| 241 |
C S = salinity [psu (PSS-78) ] |
| 242 |
C T = temperature [degree C (IPTS-68)] |
| 243 |
C P = pressure [db] |
| 244 |
C PR = Reference pressure [db] |
| 245 |
|
| 246 |
implicit none |
| 247 |
|
| 248 |
c routine arguments |
| 249 |
_RL S,T,P,PR |
| 250 |
|
| 251 |
c local arguments |
| 252 |
_RL del_P ,del_th, th, q |
| 253 |
_RL onehalf, two, three |
| 254 |
parameter ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
| 255 |
|
| 256 |
c externals |
| 257 |
_RL sw_adtg |
| 258 |
external sw_adtg |
| 259 |
c theta1 |
| 260 |
del_P = PR - P |
| 261 |
del_th = del_P*sw_adtg(S,T,P) |
| 262 |
th = T + onehalf*del_th |
| 263 |
q = del_th |
| 264 |
c theta2 |
| 265 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
| 266 |
|
| 267 |
th = th + (1 - 1/sqrt(two))*(del_th - q) |
| 268 |
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
| 269 |
|
| 270 |
c theta3 |
| 271 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
| 272 |
th = th + (1 + 1/sqrt(two))*(del_th - q) |
| 273 |
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
| 274 |
|
| 275 |
c theta4 |
| 276 |
del_th = del_P*sw_adtg(S,th,P+del_P) |
| 277 |
SW_PTMP = th + (del_th - two*q)/(two*three) |
| 278 |
return |
| 279 |
end |
| 280 |
|
| 281 |
C====================================================================== |
| 282 |
|
| 283 |
CBOP |
| 284 |
C !ROUTINE: SW_TEMP |
| 285 |
C !INTERFACE: |
| 286 |
_RL FUNCTION SW_TEMP( s, t, p, pr ) |
| 287 |
C !DESCRIPTION: \bv |
| 288 |
C *=============================================================* |
| 289 |
C | S/R SW_TEMP |
| 290 |
C | o compute in-situ temperature from potential temperature |
| 291 |
C *=============================================================* |
| 292 |
C |
| 293 |
C REFERENCES: |
| 294 |
C Fofonoff, P. and Millard, R.C. Jr |
| 295 |
C Unesco 1983. Algorithms for computation of fundamental properties of |
| 296 |
C seawater, 1983. _Unesco Tech. Pap. in Mar. Sci._, No. 44, 53 pp. |
| 297 |
C Eqn.(31) p.39 |
| 298 |
C |
| 299 |
C Bryden, H. 1973. |
| 300 |
C "New Polynomials for thermal expansion, adiabatic temperature gradient |
| 301 |
C and potential temperature of sea water." |
| 302 |
C DEEP-SEA RES., 1973, Vol20,401-408. |
| 303 |
C |
| 304 |
|
| 305 |
C !USES: |
| 306 |
IMPLICIT NONE |
| 307 |
|
| 308 |
C === Global variables === |
| 309 |
CML#include "SIZE.h" |
| 310 |
CML#include "EEPARAMS.h" |
| 311 |
CML#include "PARAMS.h" |
| 312 |
CML#include "GRID.h" |
| 313 |
CML#include "DYNVARS.h" |
| 314 |
CML#include "FFIELDS.h" |
| 315 |
CML#include "SHELFICE.h" |
| 316 |
|
| 317 |
C !INPUT/OUTPUT PARAMETERS: |
| 318 |
C === Routine arguments === |
| 319 |
C s :: salinity |
| 320 |
C t :: potential temperature |
| 321 |
C p :: pressure |
| 322 |
c pr :: reference pressure |
| 323 |
C myIter :: iteration counter for this thread |
| 324 |
C myTime :: time counter for this thread |
| 325 |
C myThid :: thread number for this instance of the routine. |
| 326 |
_RL s, t, p, pr |
| 327 |
_RL myTime |
| 328 |
INTEGER myIter |
| 329 |
INTEGER myThid |
| 330 |
CEOP |
| 331 |
|
| 332 |
C !LOCAL VARIABLES |
| 333 |
C === Local variables === |
| 334 |
_RL del_P ,del_th, th, q |
| 335 |
_RL onehalf, two, three |
| 336 |
PARAMETER ( onehalf = 0.5 _d 0, two = 2. _d 0, three = 3. _d 0 ) |
| 337 |
|
| 338 |
c externals |
| 339 |
_RL sw_adtg |
| 340 |
EXTERNAL sw_adtg |
| 341 |
c theta1 |
| 342 |
C-- here we swap P and PR in order to get in-situ temperature |
| 343 |
C del_P = PR - P ! to get potential from in-situ temperature |
| 344 |
del_P = P - PR ! to get in-situ from potential temperature |
| 345 |
del_th = del_P*sw_adtg(S,T,P) |
| 346 |
th = T + onehalf*del_th |
| 347 |
q = del_th |
| 348 |
c theta2 |
| 349 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
| 350 |
|
| 351 |
th = th + (1 - 1/sqrt(two))*(del_th - q) |
| 352 |
q = (two-sqrt(two))*del_th + (-two+three/sqrt(two))*q |
| 353 |
|
| 354 |
c theta3 |
| 355 |
del_th = del_P*sw_adtg(S,th,P+onehalf*del_P) |
| 356 |
th = th + (1 + 1/sqrt(two))*(del_th - q) |
| 357 |
q = (two + sqrt(two))*del_th + (-two-three/sqrt(two))*q |
| 358 |
|
| 359 |
c theta4 |
| 360 |
del_th = del_P*sw_adtg(S,th,P+del_P) |
| 361 |
SW_temp= th + (del_th - two*q)/(two*three) |
| 362 |
|
| 363 |
RETURN |
| 364 |
END |
| 365 |
|
| 366 |
C====================================================================== |
| 367 |
|
| 368 |
_RL function SW_ADTG (S,T,P) |
| 369 |
|
| 370 |
c ================================================================== |
| 371 |
c SUBROUTINE SW_ADTG |
| 372 |
c ================================================================== |
| 373 |
c |
| 374 |
c o Calculates adiabatic temperature gradient as per UNESCO 1983 routines. |
| 375 |
c |
| 376 |
c started: |
| 377 |
c |
| 378 |
c Armin Koehl akoehl@ucsd.edu |
| 379 |
c |
| 380 |
c ================================================================== |
| 381 |
c SUBROUTINE SW_ADTG |
| 382 |
c ================================================================== |
| 383 |
|
| 384 |
implicit none |
| 385 |
_RL a0,a1,a2,a3,b0,b1,c0,c1,c2,c3,d0,d1,e0,e1,e2 |
| 386 |
_RL S,T,P |
| 387 |
_RL sref |
| 388 |
|
| 389 |
sref = 35. _d 0 |
| 390 |
a0 = 3.5803 _d -5 |
| 391 |
a1 = +8.5258 _d -6 |
| 392 |
a2 = -6.836 _d -8 |
| 393 |
a3 = 6.6228 _d -10 |
| 394 |
|
| 395 |
b0 = +1.8932 _d -6 |
| 396 |
b1 = -4.2393 _d -8 |
| 397 |
|
| 398 |
c0 = +1.8741 _d -8 |
| 399 |
c1 = -6.7795 _d -10 |
| 400 |
c2 = +8.733 _d -12 |
| 401 |
c3 = -5.4481 _d -14 |
| 402 |
|
| 403 |
d0 = -1.1351 _d -10 |
| 404 |
d1 = 2.7759 _d -12 |
| 405 |
|
| 406 |
e0 = -4.6206 _d -13 |
| 407 |
e1 = +1.8676 _d -14 |
| 408 |
e2 = -2.1687 _d -16 |
| 409 |
|
| 410 |
SW_ADTG = a0 + (a1 + (a2 + a3*T)*T)*T |
| 411 |
& + (b0 + b1*T)*(S-sref) |
| 412 |
& + ( (c0 + (c1 + (c2 + c3*T)*T)*T) + (d0 + d1*T)*(S-sref) )*P |
| 413 |
& + ( e0 + (e1 + e2*T)*T )*P*P |
| 414 |
end |
Parent Directory
| 
Revision Log
| 
Revision Graph