/[MITgcm]/MITgcm/model/src/ini_eos.F
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Contents of /MITgcm/model/src/ini_eos.F

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Revision 1.1 - (show annotations) (download)
Wed Aug 7 16:55:52 2002 UTC (21 years, 9 months ago) by mlosch
Branch: MAIN
CVS Tags: checkpoint46b_post, checkpoint46d_pre, checkpoint46c_pre, checkpoint46c_post
o Added new equation of state -> JMD95Z and JMD95P
  - EOS of Jackett and McDougall, 1995, JPO
  - moved all EOS parameters into EOS.h
  - new routines ini_eos.F, store_pressure.F
o Added UNESCO EOS, but not recommended because it requires
  in-situ temperature (see JMD95)
o Modified formatting for knudsen2.f in utils/knudsen2 and added
  unesco.f to be used with POLY3

1 C $Header: $
2 C $Name: $
3
4 #include "CPP_OPTIONS.h"
5
6 CBOP
7 C !ROUTINE: INI_EOS
8 C !INTERFACE:
9 subroutine ini_eos( myThid )
10 C !DESCRIPTION: \bv
11 C *==========================================================*
12 C | SUBROUTINE INI_EOS
13 C | o Initialise coefficients of equation of state.
14 C *==========================================================*
15 C \ev
16
17 C !USES:
18
19 implicit none
20 C == Global variables ==
21 #include "SIZE.h"
22 #include "EEPARAMS.h"
23 #include "PARAMS.h"
24 #include "EOS.h"
25 #include "GRID.h"
26
27 C !INPUT/OUTPUT PARAMETERS:
28 C == Routine arguments ==
29 C myThid - Number of this instance of INI_CORI
30 INTEGER myThid
31
32 C !LOCAL VARIABLES:
33 C == Local variables ==
34 C bi,bj - Loop counters
35 C I,J,K
36 INTEGER bi, bj
37 INTEGER I, J, K
38 CHARACTER*(MAX_LEN_MBUF) msgBuf
39
40
41 equationOfState = eosType
42
43 if ( equationOfState .eq. 'LINEAR' ) then
44 if ( tAlpha .eq. UNSET_RL ) tAlpha = 2.D-4
45 if ( sBeta .eq. UNSET_RL ) sBeta = 7.4D-4
46 elseif ( equationOfState .eq. 'POLY3' ) then
47 OPEN(37,FILE='POLY3.COEFFS',STATUS='OLD',FORM='FORMATTED')
48 READ(37,*) I
49 IF (I.NE.Nr) THEN
50 WRITE(msgBuf,'(A)')
51 & 'ini_eos: attempt to read POLY3.COEFFS failed'
52 CALL PRINT_ERROR( msgBuf , 1)
53 WRITE(msgBuf,'(A)')
54 & ' because bad # of levels in data'
55 CALL PRINT_ERROR( msgBuf , 1)
56 STOP 'Bad data in POLY3.COEFFS'
57 ENDIF
58 READ(37,*) (eosRefT(K),eosRefS(K),eosSig0(K),K=1,Nr)
59 DO K=1,Nr
60 READ(37,*) (eosC(I,K),I=1,9)
61 ENDDO
62 CLOSE(37)
63 elseif ( equationOfState(1:5) .eq. 'JMD95'
64 & .or. equationOfState .eq. 'UNESCO' ) then
65 C
66 C Jackett & McDougall (1995, JPO) equation of state
67 C rho = R(salinity, potential temperature, pressure)
68 C pressure needs to be available (from the previous
69 C time step to linearize the problem)
70 C
71 do bj = myByLo(myThid), myByHi(myThid)
72 do bi = myBxLo(myThid), myBxHi(myThid)
73 do K=1,Nr
74 do J=1-Oly,sNy+Oly
75 do I=1-Olx,sNx+Olx
76 pressure(i,j,k,bi,bj) =
77 & - rhonil*gravity*rC(k)
78 end do
79 end do
80 end do
81 end do
82 end do
83
84 C coefficients nonlinear equation of state in pressure coordinates for
85 C 1. density of fresh water at p = 0
86 eosJMDCFw(1) = 999.842594
87 eosJMDCFw(2) = 6.793952 _d -02
88 eosJMDCFw(3) = - 9.095290 _d -03
89 eosJMDCFw(4) = 1.001685 _d -04
90 eosJMDCFw(5) = - 1.120083 _d -06
91 eosJMDCFw(6) = 6.536332 _d -09
92 C 2. density of sea water at p = 0
93 eosJMDCSw(1) = 8.24493 _d -01
94 eosJMDCSw(2) = - 4.0899 _d -03
95 eosJMDCSw(3) = 7.6438 _d -05
96 eosJMDCSw(4) = - 8.2467 _d -07
97 eosJMDCSw(5) = 5.3875 _d -09
98 eosJMDCSw(6) = - 5.72466 _d -03
99 eosJMDCSw(7) = 1.0227 _d -04
100 eosJMDCSw(8) = - 1.6546 _d -06
101 eosJMDCSw(9) = 4.8314 _d -04
102 if ( equationOfState(1:5) .eq. 'JMD95' ) then
103 C 3. secant bulk modulus K of fresh water at p = 0
104 eosJMDCKFw(1) = 1.965933 _d +04
105 eosJMDCKFw(2) = 1.444304 _d +02
106 eosJMDCKFw(3) = - 1.706103 _d +00
107 eosJMDCKFw(4) = 9.648704 _d -03
108 eosJMDCKFw(5) = - 4.190253 _d -05
109 C 4. secant bulk modulus K of sea water at p = 0
110 eosJMDCKSw(1) = 5.284855 _d +01
111 eosJMDCKSw(2) = - 3.101089 _d -01
112 eosJMDCKSw(3) = 6.283263 _d -03
113 eosJMDCKSw(4) = - 5.084188 _d -05
114 eosJMDCKSw(5) = 3.886640 _d -01
115 eosJMDCKSw(6) = 9.085835 _d -03
116 eosJMDCKSw(7) = - 4.619924 _d -04
117 C 5. secant bulk modulus K of sea water at p
118 eosJMDCKP( 1) = 3.186519 _d +00
119 eosJMDCKP( 2) = 2.212276 _d -02
120 eosJMDCKP( 3) = - 2.984642 _d -04
121 eosJMDCKP( 4) = 1.956415 _d -06
122 eosJMDCKP( 5) = 6.704388 _d -03
123 eosJMDCKP( 6) = - 1.847318 _d -04
124 eosJMDCKP( 7) = 2.059331 _d -07
125 eosJMDCKP( 8) = 1.480266 _d -04
126 eosJMDCKP( 9) = 2.102898 _d -04
127 eosJMDCKP(10) = - 1.202016 _d -05
128 eosJMDCKP(11) = 1.394680 _d -07
129 eosJMDCKP(12) = - 2.040237 _d -06
130 eosJMDCKP(13) = 6.128773 _d -08
131 eosJMDCKP(14) = 6.207323 _d -10
132
133 elseif ( equationOfState .eq. 'UNESCO' ) then
134
135 write(msgBuf,'(a)')
136 & 'WARNING WARNING WARNING WARNING WARNING WARNING '
137 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
138 & SQUEEZE_RIGHT , 1)
139 write(msgBuf,'(a,a)')
140 & 'WARNING: using the UNESCO formula with potential ',
141 & 'temperature'
142 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
143 & SQUEEZE_RIGHT , 1)
144 write(msgBuf,'(a)')
145 & 'WARNING: can result in density errors of up to 5%'
146 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
147 & SQUEEZE_RIGHT , 1)
148 write(msgBuf,'(a)')
149 & 'WARNING: (see Jackett and McDougall 1995, JPO)'
150 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
151 & SQUEEZE_RIGHT , 1)
152 write(msgBuf,'(a)')
153 & 'WARNING WARNING WARNING WARNING WARNING WARNING '
154 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
155 & SQUEEZE_RIGHT , 1)
156
157 C 3. secant bulk modulus K of fresh water at p = 0
158 eosJMDCKFw(1) = 1.965221 _d +04
159 eosJMDCKFw(2) = 1.484206 _d +02
160 eosJMDCKFw(3) = - 2.327105 _d +00
161 eosJMDCKFw(4) = 1.360477 _d -02
162 eosJMDCKFw(5) = - 5.155288 _d -05
163 C 4. secant bulk modulus K of sea water at p = 0
164 eosJMDCKSw(1) = 5.46746 _d +01
165 eosJMDCKSw(2) = - 0.603459 _d +00
166 eosJMDCKSw(3) = 1.09987 _d -02
167 eosJMDCKSw(4) = - 6.1670 _d -05
168 eosJMDCKSw(5) = 7.944 _d -02
169 eosJMDCKSw(6) = 1.6483 _d -02
170 eosJMDCKSw(7) = - 5.3009 _d -04
171 C 5. secant bulk modulus K of sea water at p
172 eosJMDCKP( 1) = 3.239908 _d +00
173 eosJMDCKP( 2) = 1.43713 _d -03
174 eosJMDCKP( 3) = 1.16092 _d -04
175 eosJMDCKP( 4) = - 5.77905 _d -07
176 eosJMDCKP( 5) = 2.2838 _d -03
177 eosJMDCKP( 6) = - 1.0981 _d -05
178 eosJMDCKP( 7) = - 1.6078 _d -06
179 eosJMDCKP( 8) = 1.91075 _d -04
180 eosJMDCKP( 9) = 8.50935 _d -05
181 eosJMDCKP(10) = - 6.12293 _d -06
182 eosJMDCKP(11) = 5.2787 _d -08
183 eosJMDCKP(12) = - 9.9348 _d -07
184 eosJMDCKP(13) = 2.0816 _d -08
185 eosJMDCKP(14) = 9.1697 _d -10
186 else
187 STOP 'INI_EOS: We should never reach this point!'
188 endif
189
190 elseif( equationOfState .eq. 'IDEALG' ) then
191 C
192 else
193
194 write(msgbuf,'(3a)') ' INI_EOS: equationOfState = "',
195 & equationOfState,'"'
196 call print_error( msgbuf, mythid )
197 stop 'ABNORMAL END: S/R INI_EOS'
198
199 end if
200
201 call check_eos( myThid )
202
203 return
204 end
205
206 CBOP
207 C !ROUTINE: CHECK_EOS
208 C !INTERFACE:
209 subroutine check_eos( myThid )
210 C !DESCRIPTION: \bv
211 C *==========================================================*
212 C | SUBROUTINE CHECK_EOS
213 C | o check the equation of state.
214 C *==========================================================*
215 C \ev
216
217 C !USES:
218
219 implicit none
220 #include "SIZE.h"
221 #include "EEPARAMS.h"
222 #include "PARAMS.h"
223 #include "EOS.h"
224
225 C !INPUT/OUTPUT PARAMETERS:
226 C == Routine arguments ==
227 C myThid - Number of this instance of CHECK_EOS
228 INTEGER myThid
229
230 C !LOCAL VARIABLES:
231 C == Local variables ==
232 C bi,bj - Loop counters
233 C I,J,K
234 INTEGER bi, bj
235 INTEGER imin, imax, jmin, jmax
236 INTEGER I, J, K
237 _RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
238 _RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
239 _RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly)
240 _RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
241 _RL rholoc, psave
242
243 INTEGER ncheck, kcheck
244 PARAMETER ( ncheck = 10 )
245 _RL tloc(ncheck), ptloc(ncheck), sloc(ncheck), ploc(ncheck)
246 _RL rloc(ncheck), bloc(ncheck)
247
248 CHARACTER*(MAX_LEN_MBUF) msgBuf
249
250 DATA tloc
251 & /3.25905152915860 _d 0, 20.38687090048638 _d 0,
252 & 5. _d 0, 25. _d 0,
253 & 5. _d 0, 25. _d 0,
254 & 5. _d 0, 25. _d 0,
255 & 5. _d 0, 25. _d 0/,
256 & ptloc
257 & /3. _d 0, 20. _d 0,
258 & 5. _d 0, 25. _d 0,
259 & 5. _d 0, 25. _d 0,
260 & 4.03692566635316 _d 0, 22.84661726775120 _d 0,
261 & 3.62720389416752 _d 0, 22.62420229124846 _d 0/
262 & sloc
263 & /35.5 _d 0, 35. _d 0,
264 & 0. _d 0, 0. _d 0,
265 & 35. _d 0, 35. _d 0,
266 & 0. _d 0, 0. _d 0,
267 & 35. _d 0, 35. _d 0/
268 & ploc
269 & /300. _d 5, 200. _d 5,
270 & 0. _d 0, 0. _d 0,
271 & 0. _d 0, 0. _d 0,
272 & 1000. _d 5, 1000. _d 5,
273 & 1000. _d 5, 1000. _d 5/
274 DATA rloc
275 & /1041.83267 _d 0, 1033.213387 _d 0,
276 & 999.96675 _d 0, 997.04796 _d 0,
277 & 1027.67547 _d 0, 1023.34306 _d 0,
278 & 1044.12802 _d 0, 1037.90204 _d 0,
279 & 1069.48914 _d 0, 1062.53817 _d 0/
280 & bloc
281 & / -1.00000 _d 0, -1.00000 _d 0,
282 & 20337.80375 _d 0, 22100.72106 _d 0,
283 & 22185.93358 _d 0, 23726.34949 _d 0,
284 & 23643.52599 _d 0, 25405.09717 _d 0,
285 & 25577.49819 _d 0, 27108.94504 _d 0/
286
287
288 bi = 1
289 bj = 1
290 k = 1
291 imin = 1
292 imax = 1
293 jmin = 1
294 jmax = 1
295 i = 1
296 j = 1
297 if ( equationOfState.ne.'LINEAR'
298 & .and. equationOfState.ne.'POLY3' ) then
299 C check nonlinear EOS
300 write(msgBuf,'(a,a)')
301 & 'ml-eos: Check the equation of state: Type ',
302 & equationOfState
303 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
304 & SQUEEZE_RIGHT , 1)
305 psave = pressure(i,j,k,bi,bj)
306 do kcheck = 1,ncheck
307 pressure(i,j,k,bi,bj) = ploc(kcheck)
308 if ( equationOfState.ne.'UNESCO' ) then
309 tFld(i,j,k,bi,bj) = ptloc(kcheck)
310 else
311 tFld(i,j,k,bi,bj) = tloc(kcheck)
312 endif
313 sFld(i,j,k,bi,bj) = sloc(kcheck)
314 rholoc = 0. _d 0
315 bulkMod(i,j) = -1. _d 0
316
317 call find_rhop0(
318 I bi, bj, imin, imax, jmin, jmax, k, tFld, sFld,
319 O rhoP0,
320 I myThid )
321
322 call find_bulkmod(
323 I bi, bj, imin, imax, jmin, jmax, k, tFld, sFld,
324 O bulkMod,
325 I myThid )
326
327 rholoc = rhoP0(i,j)
328 & /(1. _d 0 -
329 & pressure(i,j,k,bi,bj)*SItoBar/bulkMod(i,j))
330
331
332 write(msgBuf,
333 & '(a4,f4.1,a5,f4.1,a6,f5.0,a5,a3,f10.5,1x,f11.5)')
334 & 'rho(', sFld(i,j,k,bi,bj), ' PSU,',
335 & tFld(i,j,k,bi,bj), ' degC,',
336 & pressure(i,j,k,bi,bj)*SItoBar, ' bar)',' = ',
337 & rloc(kcheck), bloc(kcheck)
338 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
339 & SQUEEZE_RIGHT , 1)
340 write(msgBuf,'(a4,a32,f10.5,1x,f11.5)')
341 & 'rho ', ' = ', rholoc, bulkMod(i,j)
342 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
343 & SQUEEZE_RIGHT , 1)
344
345 enddo
346 C end check nonlinear EOS
347 pressure(i,j,k,bi,bj) = psave
348
349 write(msgBuf,'(A)') 'end check the equation of state'
350 CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
351 & SQUEEZE_RIGHT , 1)
352
353 endif
354
355 return
356 end

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