1 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_solve4temp.F,v 1.17 2011/12/19 16:30:09 mlosch Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "SEAICE_OPTIONS.h" |
5 |
|
6 |
CBOP |
7 |
C !ROUTINE: SEAICE_SOLVE4TEMP |
8 |
C !INTERFACE: |
9 |
SUBROUTINE SEAICE_SOLVE4TEMP( |
10 |
I UG, HICE_ACTUAL, HSNOW_ACTUAL, |
11 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
12 |
I F_lh_max, |
13 |
#endif |
14 |
U TSURF, |
15 |
O F_ia, IcePenetSWFlux, |
16 |
O FWsublim, |
17 |
I bi, bj, myTime, myIter, myThid ) |
18 |
|
19 |
C !DESCRIPTION: \bv |
20 |
C *==========================================================* |
21 |
C | SUBROUTINE SOLVE4TEMP |
22 |
C | o Calculate ice growth rate, surface fluxes and |
23 |
C | temperature of ice surface. |
24 |
C | see Hibler, MWR, 108, 1943-1973, 1980 |
25 |
C *==========================================================* |
26 |
C \ev |
27 |
|
28 |
C !USES: |
29 |
IMPLICIT NONE |
30 |
C === Global variables === |
31 |
#include "SIZE.h" |
32 |
#include "GRID.h" |
33 |
#include "EEPARAMS.h" |
34 |
#include "PARAMS.h" |
35 |
#include "FFIELDS.h" |
36 |
#include "SEAICE_SIZE.h" |
37 |
#include "SEAICE_PARAMS.h" |
38 |
#include "SEAICE.h" |
39 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
40 |
#include "DYNVARS.h" |
41 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
42 |
#ifdef ALLOW_EXF |
43 |
# include "EXF_OPTIONS.h" |
44 |
# include "EXF_FIELDS.h" |
45 |
#endif |
46 |
#ifdef ALLOW_AUTODIFF_TAMC |
47 |
# include "tamc.h" |
48 |
#endif |
49 |
|
50 |
C !INPUT/OUTPUT PARAMETERS |
51 |
C === Routine arguments === |
52 |
C INPUT: |
53 |
C UG :: thermal wind of atmosphere |
54 |
C HICE_ACTUAL :: actual ice thickness |
55 |
C HSNOW_ACTUAL :: actual snow thickness |
56 |
C TSURF :: surface temperature of ice in Kelvin, updated |
57 |
C bi,bj :: loop indices |
58 |
C OUTPUT: |
59 |
C F_io_net :: net upward conductive heat flux through ice at the base |
60 |
C of the ice |
61 |
C F_ia_net :: net heat flux divergence at the sea ice/snow surface: |
62 |
C includes ice conductive fluxes and atmospheric fluxes (W/m^2) |
63 |
C F_ia :: upward sea ice/snow surface heat flux to atmosphere (W/m^2) |
64 |
C IcePenetSWFlux :: short wave heat flux under ice |
65 |
C FWsublim :: fresh water (mass) flux implied by latent heat of |
66 |
C sublimation (kg/m^2/s) |
67 |
_RL UG (1:sNx,1:sNy) |
68 |
_RL HICE_ACTUAL (1:sNx,1:sNy) |
69 |
_RL HSNOW_ACTUAL (1:sNx,1:sNy) |
70 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
71 |
_RL F_lh_max (1:sNx,1:sNy) |
72 |
#endif |
73 |
_RL TSURF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
74 |
c _RL F_io_net (1:sNx,1:sNy) |
75 |
c _RL F_ia_net (1:sNx,1:sNy) |
76 |
_RL F_ia (1:sNx,1:sNy) |
77 |
_RL IcePenetSWFlux (1:sNx,1:sNy) |
78 |
_RL FWsublim (1:sNx,1:sNy) |
79 |
INTEGER bi, bj |
80 |
_RL myTime |
81 |
INTEGER myIter, myThid |
82 |
|
83 |
C !LOCAL VARIABLES: |
84 |
C === Local variables === |
85 |
_RL F_io_net (1:sNx,1:sNy) |
86 |
_RL F_ia_net (1:sNx,1:sNy) |
87 |
#ifndef SEAICE_SOLVE4TEMP_LEGACY |
88 |
_RL F_swi (1:sNx,1:sNy) |
89 |
_RL F_lwd (1:sNx,1:sNy) |
90 |
_RL F_lwu (1:sNx,1:sNy) |
91 |
_RL F_sens (1:sNx,1:sNy) |
92 |
_RL hice_tmp |
93 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
94 |
_RL F_lh (1:sNx,1:sNy) |
95 |
_RL F_c (1:sNx,1:sNy) |
96 |
_RL qhice (1:sNx,1:sNy) |
97 |
|
98 |
_RL AbsorbedSWFlux (1:sNx,1:sNy) |
99 |
_RL IcePenetSWFluxFrac (1:sNx,1:sNy) |
100 |
|
101 |
C local copies of global variables |
102 |
_RL tsurfLoc (1:sNx,1:sNy) |
103 |
_RL atempLoc (1:sNx,1:sNy) |
104 |
_RL lwdownLoc (1:sNx,1:sNy) |
105 |
_RL ALB (1:sNx,1:sNy) |
106 |
_RL ALB_ICE (1:sNx,1:sNy) |
107 |
_RL ALB_SNOW (1:sNx,1:sNy) |
108 |
|
109 |
C i, j :: Loop counters |
110 |
C kSrf :: vertical index of surface layer |
111 |
INTEGER i, j |
112 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
113 |
INTEGER kSrf |
114 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
115 |
INTEGER ITER |
116 |
|
117 |
C This is HICE_ACTUAL.GT.0. |
118 |
LOGICAL iceOrNot(1:sNx,1:sNy) |
119 |
|
120 |
C TB :: temperature in boundary layer (=freezing point temperature) (K) |
121 |
_RL TB (1:sNx,1:sNy) |
122 |
C |
123 |
_RL D1, D1I |
124 |
_RL D3(1:sNx,1:sNy) |
125 |
_RL TMELT, XKI, XKS, HCUT, XIO |
126 |
_RL SurfMeltTemp |
127 |
C effective conductivity of combined ice and snow |
128 |
_RL effConduct(1:sNx,1:sNy) |
129 |
|
130 |
C Constants to calculate Saturation Vapor Pressure |
131 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
132 |
_RL TMELTP, C1, C2, C3, C4, C5, QS1 |
133 |
_RL A2 (1:sNx,1:sNy) |
134 |
_RL A3 (1:sNx,1:sNy) |
135 |
c _RL B (1:sNx,1:sNy) |
136 |
_RL A1 (1:sNx,1:sNy) |
137 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
138 |
_RL dFiDTs1 |
139 |
_RL aa1,aa2,bb1,bb2,Ppascals,cc0,cc1,cc2,cc3t |
140 |
C specific humidity at ice surface variables |
141 |
_RL mm_pi,mm_log10pi,dqhice_dTice |
142 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
143 |
|
144 |
C latent heat of sublimation for ice (SEAICE_lhEvap + |
145 |
C SEAICE_lhFusion) |
146 |
_RL lhSublim |
147 |
|
148 |
C powers of temperature |
149 |
_RL t1, t2, t3, t4 |
150 |
_RL lnTEN |
151 |
CEOP |
152 |
|
153 |
#ifdef ALLOW_AUTODIFF_TAMC |
154 |
CADJ INIT comlev1_solve4temp = COMMON, sNx*sNy*NMAX_TICE |
155 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
156 |
|
157 |
lnTEN = log(10.0 _d 0) |
158 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
159 |
C MAYKUTS CONSTANTS FOR SAT. VAP. PRESSURE TEMP. POLYNOMIAL |
160 |
C1= 2.7798202 _d -06 |
161 |
C2= -2.6913393 _d -03 |
162 |
C3= 0.97920849 _d +00 |
163 |
C4= -158.63779 _d +00 |
164 |
C5= 9653.1925 _d +00 |
165 |
|
166 |
QS1=0.622 _d +00/1013.0 _d +00 |
167 |
|
168 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
169 |
aa1 = 2663.5 _d 0 |
170 |
aa2 = 12.537 _d 0 |
171 |
bb1 = 0.622 _d 0 |
172 |
bb2 = 1.0 _d 0 - bb1 |
173 |
Ppascals = 100000. _d 0 |
174 |
C cc0 = TEN ** aa2 |
175 |
cc0 = exp(aa2*lnTEN) |
176 |
cc1 = cc0*aa1*bb1*Ppascals*lnTEN |
177 |
cc2 = cc0*bb2 |
178 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
179 |
|
180 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
181 |
kSrf = 1 |
182 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
183 |
|
184 |
C SENSIBLE HEAT CONSTANT |
185 |
D1=SEAICE_dalton*SEAICE_cpAir*SEAICE_rhoAir |
186 |
|
187 |
C ICE LATENT HEAT CONSTANT |
188 |
lhSublim = SEAICE_lhEvap + SEAICE_lhFusion |
189 |
D1I=SEAICE_dalton*lhSublim*SEAICE_rhoAir |
190 |
|
191 |
C MELTING TEMPERATURE OF ICE |
192 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
193 |
TMELT = 273.16 _d +00 |
194 |
TMELTP = 273.159 _d +00 |
195 |
SurfMeltTemp = TMELTP |
196 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
197 |
TMELT = celsius2K |
198 |
SurfMeltTemp = TMELT |
199 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
200 |
|
201 |
C ICE CONDUCTIVITY |
202 |
XKI=SEAICE_iceConduct |
203 |
|
204 |
C SNOW CONDUCTIVITY |
205 |
XKS=SEAICE_snowConduct |
206 |
|
207 |
C CUTOFF SNOW THICKNESS |
208 |
HCUT=SEAICE_snowThick |
209 |
|
210 |
C PENETRATION SHORTWAVE RADIATION FACTOR |
211 |
XIO=SEAICE_shortwave |
212 |
|
213 |
C Initialize variables |
214 |
DO J=1,sNy |
215 |
DO I=1,sNx |
216 |
C HICE_ACTUAL is modified in this routine, but at the same time |
217 |
C used to decided where there is ice, therefore we save this information |
218 |
C here in a separate array |
219 |
iceOrNot (I,J) = HICE_ACTUAL(I,J) .GT. 0. _d 0 |
220 |
C |
221 |
IcePenetSWFlux (I,J) = 0. _d 0 |
222 |
IcePenetSWFluxFrac (I,J) = 0. _d 0 |
223 |
AbsorbedSWFlux (I,J) = 0. _d 0 |
224 |
|
225 |
qhice (I,J) = 0. _d 0 |
226 |
F_ia (I,J) = 0. _d 0 |
227 |
|
228 |
F_io_net (I,J) = 0. _d 0 |
229 |
F_ia_net (I,J) = 0. _d 0 |
230 |
|
231 |
F_lh (I,J) = 0. _d 0 |
232 |
|
233 |
C Reset the snow/ice surface to TMELT and bound the atmospheric temperature |
234 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
235 |
tsurfLoc (I,J) = MIN(273.16 _d 0 + MAX_TICE,TSURF(I,J,bi,bj)) |
236 |
atempLoc (I,J) = MAX(273.16 _d 0 + MIN_ATEMP,ATEMP(I,J,bi,bj)) |
237 |
A1(I,J) = 0.0 _d 0 |
238 |
A2(I,J) = 0.0 _d 0 |
239 |
A3(I,J) = 0.0 _d 0 |
240 |
c B(I,J) = 0.0 _d 0 |
241 |
lwdownLoc(I,J) = MAX(MIN_LWDOWN,LWDOWN(I,J,bi,bj)) |
242 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
243 |
F_swi (I,J) = 0. _d 0 |
244 |
F_lwd (I,J) = 0. _d 0 |
245 |
F_lwu (I,J) = 0. _d 0 |
246 |
F_sens (I,J) = 0. _d 0 |
247 |
|
248 |
tsurfLoc (I,J) = TSURF(I,J,bi,bj) |
249 |
atempLoc (I,J) = MAX(TMELT + MIN_ATEMP,ATEMP(I,J,bi,bj)) |
250 |
lwdownLoc(I,J) = LWDOWN(I,J,bi,bj) |
251 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
252 |
|
253 |
C FREEZING TEMPERATURE OF SEAWATER |
254 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
255 |
C Use a variable seawater freezing point |
256 |
TB(I,J) = -0.0575 _d 0*salt(I,J,kSrf,bi,bj) + 0.0901 _d 0 |
257 |
& + celsius2K |
258 |
#else |
259 |
C Use a constant freezing temperature (SEAICE_VARIABLE_FREEZING_POINT undef) |
260 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
261 |
TB(I,J) = 271.2 _d 0 |
262 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
263 |
TB(I,J) = celsius2K + SEAICE_freeze |
264 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
265 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
266 |
IF(HSNOW_ACTUAL(I,J).GT.0.0) THEN |
267 |
C Stefan-Boltzman constant times emissivity |
268 |
D3(I,J)=SEAICE_snow_emiss*SEAICE_boltzmann |
269 |
#ifdef EXF_LWDOWN_WITH_EMISSIVITY |
270 |
C This is now [(1-emiss)*lwdown - lwdown] |
271 |
lwdownloc(I,J) = SEAICE_snow_emiss*lwdownloc(I,J) |
272 |
#else /* use the old hard wired inconsistent value */ |
273 |
lwdownloc(I,J) = 0.97 _d 0*lwdownloc(I,J) |
274 |
#endif /* EXF_LWDOWN_WITH_EMISSIVITY */ |
275 |
ELSE |
276 |
C Stefan-Boltzman constant times emissivity |
277 |
D3(I,J)=SEAICE_ice_emiss*SEAICE_boltzmann |
278 |
#ifdef EXF_LWDOWN_WITH_EMISSIVITY |
279 |
C This is now [(1-emiss)*lwdown - lwdown] |
280 |
lwdownloc(I,J) = SEAICE_ice_emiss*lwdownloc(I,J) |
281 |
#else /* use the old hard wired inconsistent value */ |
282 |
lwdownloc(I,J) = 0.97 _d 0*lwdownloc(I,J) |
283 |
#endif /* EXF_LWDOWN_WITH_EMISSIVITY */ |
284 |
ENDIF |
285 |
ENDDO |
286 |
ENDDO |
287 |
|
288 |
DO J=1,sNy |
289 |
DO I=1,sNx |
290 |
|
291 |
C DECIDE ON ALBEDO |
292 |
IF ( iceOrNot(I,J) ) THEN |
293 |
|
294 |
IF ( YC(I,J,bi,bj) .LT. 0.0 _d 0 ) THEN |
295 |
IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
296 |
ALB_ICE (I,J) = SEAICE_wetIceAlb_south |
297 |
ALB_SNOW(I,J) = SEAICE_wetSnowAlb_south |
298 |
ELSE ! no surface melting |
299 |
ALB_ICE (I,J) = SEAICE_dryIceAlb_south |
300 |
ALB_SNOW(I,J) = SEAICE_drySnowAlb_south |
301 |
ENDIF |
302 |
ELSE !/ Northern Hemisphere |
303 |
IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
304 |
ALB_ICE (I,J) = SEAICE_wetIceAlb |
305 |
ALB_SNOW(I,J) = SEAICE_wetSnowAlb |
306 |
ELSE ! no surface melting |
307 |
ALB_ICE (I,J) = SEAICE_dryIceAlb |
308 |
ALB_SNOW(I,J) = SEAICE_drySnowAlb |
309 |
ENDIF |
310 |
ENDIF !/ Albedo for snow and ice |
311 |
|
312 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
313 |
C If actual snow thickness exceeds the cutoff thickness, use the |
314 |
C snow albedo |
315 |
IF (HSNOW_ACTUAL(I,J) .GT. HCUT) THEN |
316 |
ALB(I,J) = ALB_SNOW(I,J) |
317 |
C otherwise, use some combination of ice and snow albedo |
318 |
C (What is the source of this formulation ?) |
319 |
ELSE |
320 |
ALB(I,J) = MIN(ALB_ICE(I,J) + HSNOW_ACTUAL(I,J)/HCUT* |
321 |
& (ALB_SNOW(I,J) -ALB_ICE(I,J)), |
322 |
& ALB_SNOW(I,J)) |
323 |
ENDIF |
324 |
|
325 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
326 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
327 |
ALB(I,J) = ALB_SNOW(I,J) |
328 |
ELSE |
329 |
ALB(I,J) = ALB_ICE(I,J) |
330 |
ENDIF |
331 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
332 |
|
333 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
334 |
C NOW DETERMINE FIXED FORCING TERM IN HEAT BUDGET |
335 |
|
336 |
#ifdef ALLOW_DOWNWARD_RADIATION |
337 |
IF(HSNOW_ACTUAL(I,J).GT.0.0) THEN |
338 |
C NO SW PENETRATION WITH SNOW |
339 |
A1(I,J)=(1.0 _d 0 - ALB(I,J))*SWDOWN(I,J,bi,bj) |
340 |
& +lwdownLoc(I,J) |
341 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
342 |
ELSE |
343 |
C SW PENETRATION UNDER ICE |
344 |
A1(I,J)=(1.0 _d 0 - ALB(I,J))*SWDOWN(I,J,bi,bj) |
345 |
& *(1.0 _d 0 - XIO*EXP(-1.5 _d 0*HICE_ACTUAL(I,J))) |
346 |
& +lwdownLoc(I,J) |
347 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
348 |
ENDIF |
349 |
#endif /* ALLOW_DOWNWARD_RADIATION */ |
350 |
|
351 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
352 |
|
353 |
C The longwave radiative flux convergence |
354 |
F_lwd(I,J) = - lwdownLoc(I,J) |
355 |
|
356 |
C Determine the fraction of shortwave radiative flux |
357 |
C remaining after scattering through the snow and ice at |
358 |
C the ocean interface. If snow is present, no radiation |
359 |
C penetrates to the ocean. |
360 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
361 |
IcePenetSWFluxFrac(I,J) = 0.0 _d 0 |
362 |
ELSE |
363 |
IcePenetSWFluxFrac(I,J) = |
364 |
& XIO*EXP(-1.5 _d 0 * HICE_ACTUAL(I,J)) |
365 |
ENDIF |
366 |
|
367 |
C The shortwave radiative flux convergence in the |
368 |
C seaice. |
369 |
AbsorbedSWFlux(I,J) = -(1.0 _d 0 - ALB(I,J))* |
370 |
& (1.0 _d 0 - IcePenetSWFluxFrac(I,J)) |
371 |
& *SWDOWN(I,J,bi,bj) |
372 |
|
373 |
C The shortwave radiative flux convergence in the |
374 |
C ocean beneath ice. |
375 |
IcePenetSWFlux(I,J) = -(1.0 _d 0 - ALB(I,J))* |
376 |
& IcePenetSWFluxFrac(I,J) |
377 |
& *SWDOWN(I,J,bi,bj) |
378 |
|
379 |
F_swi(I,J) = AbsorbedSWFlux(I,J) |
380 |
|
381 |
C Set a mininum sea ice thickness of 5 cm to bound |
382 |
C the magnitude of conductive heat fluxes. |
383 |
cif * now taken care of by SEAICE_hice_reg in seaice_growth |
384 |
C hice_tmp = max(HICE_ACTUAL(I,J),5. _d -2) |
385 |
|
386 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
387 |
|
388 |
C The effective conductivity of the two-layer |
389 |
C snow/ice system. |
390 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
391 |
effConduct(I,J)= |
392 |
& XKS/(HSNOW_ACTUAL(I,J)/HICE_ACTUAL(I,J) + |
393 |
& XKS/XKI)/HICE_ACTUAL(I,J) |
394 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
395 |
effConduct(I,J) = XKI * XKS / |
396 |
& (XKS * HICE_ACTUAL(I,j) + XKI * HSNOW_ACTUAL(I,J)) |
397 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
398 |
|
399 |
#ifdef SEAICE_DEBUG |
400 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
401 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
402 |
|
403 |
print '(A,i6)','-----------------------------------' |
404 |
print '(A,i6)','ibi merged initialization ', myIter |
405 |
|
406 |
print '(A,i6,4(1x,D24.15))', |
407 |
& 'ibi iter, TSL, TS ',myIter, |
408 |
& tsurfLoc(I,J), TSURF(I,J,bi,bj) |
409 |
|
410 |
print '(A,i6,4(1x,D24.15))', |
411 |
& 'ibi iter, TMELT ',myIter,TMELT |
412 |
|
413 |
print '(A,i6,4(1x,D24.15))', |
414 |
& 'ibi iter, HIA, EFKCON ',myIter, |
415 |
& HICE_ACTUAL(I,J), effConduct(I,J) |
416 |
|
417 |
print '(A,i6,4(1x,D24.15))', |
418 |
& 'ibi iter, HSNOW ',myIter, |
419 |
& HSNOW_ACTUAL(I,J), ALB(I,J) |
420 |
|
421 |
print '(A,i6)','-----------------------------------' |
422 |
print '(A,i6)','ibi energy balance iterat ', myIter |
423 |
|
424 |
ENDIF |
425 |
#endif /* SEAICE_DEBUG */ |
426 |
|
427 |
ENDIF !/* iceOrNot */ |
428 |
ENDDO !/* i */ |
429 |
ENDDO !/* j */ |
430 |
Ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc |
431 |
DO ITER=1,IMAX_TICE |
432 |
DO J=1,sNy |
433 |
DO I=1,sNx |
434 |
#ifdef ALLOW_AUTODIFF_TAMC |
435 |
iicekey = I + sNx*(J-1) + (ITER-1)*sNx*sNy |
436 |
CADJ STORE tsurfloc(i,j) = comlev1_solve4temp, |
437 |
CADJ & key = iicekey, byte = isbyte |
438 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
439 |
|
440 |
IF ( iceOrNot(I,J) ) THEN |
441 |
|
442 |
t1 = tsurfLoc(I,J) |
443 |
t2 = t1*t1 |
444 |
t3 = t2*t1 |
445 |
t4 = t2*t2 |
446 |
|
447 |
C Calculate the specific humidity in the BL above the snow/ice |
448 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
449 |
C Use the Maykut polynomial |
450 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
451 |
|
452 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
453 |
C Use an approximation which is more accurate at low temperatures |
454 |
|
455 |
C log 10 of the sat vap pressure |
456 |
mm_log10pi = -aa1 / t1 + aa2 |
457 |
|
458 |
C The saturation vapor pressure (SVP) in the surface |
459 |
C boundary layer (BL) above the snow/ice. |
460 |
C mm_pi = TEN **(mm_log10pi) |
461 |
C The following form does the same, but is faster |
462 |
mm_pi = exp(mm_log10pi*lnTEN) |
463 |
|
464 |
qhice(I,J) = bb1*mm_pi / (Ppascals - (1.0 _d 0 - bb1) * |
465 |
& mm_pi) |
466 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
467 |
|
468 |
C Calculate the flux terms based on the updated tsurfLoc |
469 |
F_c(I,J) = -effConduct(I,J)*(TB(I,J)-tsurfLoc(I,J)) |
470 |
F_lh(I,J) = D1I*UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
471 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
472 |
A2(I,J)=-D1*UG(I,J)*t1-D1I*UG(I,J)*qhice(I,J)-D3(I,J)*t4 |
473 |
A3(I,J) = 4.0 _d 0*D3(I,J)*t3 + effConduct(I,J)+D1*UG(I,J) |
474 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
475 |
C A constant for SVP derivative w.r.t TICE |
476 |
C cc3t = TEN **(aa1 / t1) |
477 |
C The following form does the same, but is faster |
478 |
cc3t = exp(aa1 / t1 * lnTEN) |
479 |
|
480 |
c d(qh)/d(TICE) |
481 |
dqhice_dTice = cc1*cc3t/((cc2-cc3t*Ppascals)**2 *t2) |
482 |
|
483 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
484 |
c if the latent heat flux implied by tsurfLoc exceeds |
485 |
c F_lh_max, cap F_lh and decouple the flux magnitude from TICE |
486 |
if (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
487 |
F_lh(I,J) = F_lh_max(I,J) |
488 |
dqhice_dTice = ZERO |
489 |
endif |
490 |
#endif |
491 |
|
492 |
|
493 |
c d(F_ia)/d(TICE) |
494 |
dFiDTs1 = 4.0 _d 0*D3(I,J)*t3 + effConduct(I,J) + D1*UG(I,J) |
495 |
& + D1I*UG(I,J)*dqhice_dTice |
496 |
|
497 |
F_lwu(I,J)= t4 * D3(I,J) |
498 |
|
499 |
F_sens(I,J)= D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
500 |
|
501 |
F_ia(I,J) = F_lwd(I,J) + F_swi(I,J) + F_lwu(I,J) + |
502 |
& F_c(I,J) + F_sens(I,J) + F_lh(I,J) |
503 |
|
504 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
505 |
|
506 |
#ifdef SEAICE_DEBUG |
507 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
508 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
509 |
print '(A,i6,4(1x,D24.15))', |
510 |
& 'ice-iter qhICE, ', ITER,qhIce(I,J) |
511 |
|
512 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
513 |
print '(A,i6,4(1x,D24.15))', |
514 |
& 'ice-iter A1 A2 B ', ITER,A1(I,J), A2(I,J), |
515 |
& -F_c(I,J) |
516 |
|
517 |
print '(A,i6,4(1x,D24.15))', |
518 |
& 'ice-iter A3 (-A1+A2) ', ITER, A3(I,J), |
519 |
& -(A1(I,J) + A2(I,J)) |
520 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
521 |
|
522 |
print '(A,i6,4(1x,D24.15))', |
523 |
& 'ice-iter dFiDTs1 F_ia ', ITER, dFiDTs1, |
524 |
& F_ia(I,J) |
525 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
526 |
|
527 |
ENDIF |
528 |
#endif /* SEAICE_DEBUG */ |
529 |
|
530 |
C Update tsurfLoc |
531 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
532 |
tsurfLoc(I,J)=tsurfLoc(I,J) |
533 |
& +(A1(I,J)+A2(I,J)-F_c(I,J))/A3(I,J) |
534 |
|
535 |
tsurfLoc(I,J) =MAX(273.16 _d 0+MIN_TICE,tsurfLoc(I,J)) |
536 |
tsurfLoc(I,J) =MIN(tsurfLoc(I,J),TMELT) |
537 |
|
538 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
539 |
tsurfLoc(I,J) = tsurfLoc(I,J) - F_ia(I,J) / dFiDTs1 |
540 |
|
541 |
C If the search leads to tsurfLoc < 50 Kelvin, |
542 |
C restart the search at tsurfLoc = TMELT. Note that one |
543 |
C solution to the energy balance problem is an |
544 |
C extremely low temperature - a temperature far below |
545 |
C realistic values. |
546 |
|
547 |
IF (tsurfLoc(I,J) .LT. 50.0 _d 0 ) THEN |
548 |
tsurfLoc(I,J) = TMELT |
549 |
ENDIF |
550 |
tsurfLoc(I,J) =MIN(tsurfLoc(I,J),TMELT) |
551 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
552 |
|
553 |
#ifdef SEAICE_DEBUG |
554 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
555 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
556 |
|
557 |
print '(A,i6,4(1x,D24.15))', |
558 |
& 'ice-iter tsurfLc,|dif|', ITER, |
559 |
& tsurfLoc(I,J), |
560 |
& log10(abs(tsurfLoc(I,J) - t1)) |
561 |
ENDIF |
562 |
#endif /* SEAICE_DEBUG */ |
563 |
|
564 |
ENDIF !/* iceOrNot */ |
565 |
ENDDO !/* i */ |
566 |
ENDDO !/* j */ |
567 |
ENDDO !/* Iterations */ |
568 |
Ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc |
569 |
DO J=1,sNy |
570 |
DO I=1,sNx |
571 |
IF ( iceOrNot(I,J) ) THEN |
572 |
|
573 |
C Finalize the flux terms |
574 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
575 |
F_ia(I,J)=-A1(I,J)-A2(I,J) |
576 |
TSURF(I,J,bi,bj)=MIN(tsurfLoc(I,J),TMELT) |
577 |
|
578 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0 ) THEN |
579 |
C NO SW PENETRATION WITH SNOW |
580 |
IcePenetSWFlux(I,J)=0.0 _d 0 |
581 |
ELSE |
582 |
C SW PENETRATION UNDER ICE |
583 |
|
584 |
#ifdef ALLOW_DOWNWARD_RADIATION |
585 |
IcePenetSWFlux(I,J)=-(1.0 _d 0 -ALB(I,J))*SWDOWN(I,J,bi,bj) |
586 |
& *XIO*EXP(-1.5 _d 0*HICE_ACTUAL(I,J)) |
587 |
#endif /* ALLOW_DOWNWARD_RADIATION */ |
588 |
ENDIF |
589 |
|
590 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
591 |
TSURF(I,J,bi,bj) = tsurfLoc(I,J) |
592 |
|
593 |
C Recalculate the fluxes based on the (possibly) adjusted TSURF |
594 |
t1 = tsurfLoc(I,J) |
595 |
t2 = t1*t1 |
596 |
t3 = t2*t1 |
597 |
t4 = t2*t2 |
598 |
|
599 |
C log 10 of the sat vap pressure |
600 |
mm_log10pi = -aa1 / t1 + aa2 |
601 |
|
602 |
C saturation vapor pressure |
603 |
C mm_pi = TEN **(mm_log10pi) |
604 |
C The following form does the same, but is faster |
605 |
mm_pi = exp(mm_log10pi*lnTEN) |
606 |
|
607 |
C over ice specific humidity |
608 |
qhice(I,J) = bb1*mm_pi/(Ppascals- (1.0 _d 0 - bb1) * mm_pi) |
609 |
|
610 |
F_lh(I,J) = D1I * UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
611 |
|
612 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
613 |
if (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
614 |
F_lh(I,J) = F_lh_max(I,J) |
615 |
endif |
616 |
#endif |
617 |
|
618 |
F_c(I,J) = -effConduct(I,J) * (TB(I,J) - t1) |
619 |
F_lwu(I,J) = t4 * D3(I,J) |
620 |
F_sens(I,J) = D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
621 |
|
622 |
C The flux between the ice/snow surface and the atmosphere. |
623 |
C (excludes upward conductive fluxes) |
624 |
F_ia(I,J) = F_lwd(I,J) + F_swi(I,J) + F_lwu(I,J) + |
625 |
& F_sens(I,J) + F_lh(I,J) |
626 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
627 |
|
628 |
#ifdef SEAICE_MODIFY_GROWTH_ADJ |
629 |
Cgf no additional dependency through solver, snow, etc. |
630 |
if ( SEAICEadjMODE.GE.2 ) then |
631 |
CALL ZERO_ADJ_1D( 1, TSURF(I,J,bi,bj), myThid) |
632 |
t1 = TSURF(I,J,bi,bj) |
633 |
t2 = t1*t1 |
634 |
t3 = t2*t1 |
635 |
t4 = t2*t2 |
636 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
637 |
|
638 |
A1(I,J)=0.3 _d 0 *SWDOWN(I,J,bi,bj)+lwdownLoc(I,J) |
639 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
640 |
A2(I,J)=-D1*UG(I,J)*t1-D1I*UG(I,J)*qhice(I,J)-D3(I,J)*t4 |
641 |
|
642 |
F_ia(I,J)=-A1(I,J)-A2(I,J) |
643 |
IcePenetSWFlux(I,J)= 0. _d 0 |
644 |
endif |
645 |
#endif |
646 |
|
647 |
C Caclulate the net ice-ocean and ice-atmosphere fluxes |
648 |
IF (F_c(I,J) .LT. 0.0 _d 0) THEN |
649 |
F_io_net(I,J) = -F_c(I,J) |
650 |
F_ia_net(I,J) = 0.0 _d 0 |
651 |
ELSE |
652 |
F_io_net(I,J) = 0.0 _d 0 |
653 |
F_ia_net(I,J) = F_ia(I,J) |
654 |
ENDIF !/* conductive fluxes up or down */ |
655 |
C Fresh water flux (kg/m^2/s) from latent heat of sublimation. |
656 |
C F_lh is positive upward (sea ice looses heat) and FWsublim |
657 |
C is also positive upward (atmosphere gains freshwater) |
658 |
FWsublim(I,J) = F_lh(I,J)/lhSublim |
659 |
|
660 |
#ifdef SEAICE_DEBUG |
661 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
662 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
663 |
|
664 |
print '(A)','----------------------------------------' |
665 |
print '(A,i6)','ibi complete ', myIter |
666 |
|
667 |
print '(A,4(1x,D24.15))', |
668 |
& 'ibi T(SURF, surfLoc,atmos) ', |
669 |
& TSURF(I,J,bi,bj), tsurfLoc(I,J),atempLoc(I,J) |
670 |
|
671 |
print '(A,4(1x,D24.15))', |
672 |
& 'ibi LWL ', lwdownLoc(I,J) |
673 |
|
674 |
print '(A,4(1x,D24.15))', |
675 |
& 'ibi QSW(Total, Penetrating)', |
676 |
& SWDOWN(I,J,bi,bj), IcePenetSWFlux(I,J) |
677 |
|
678 |
print '(A,4(1x,D24.15))', |
679 |
& 'ibi qh(ATM ICE) ', |
680 |
& AQH(I,J,bi,bj),qhice(I,J) |
681 |
|
682 |
#ifndef SEAICE_SOLVE4TEMP_LEGACY |
683 |
print '(A,4(1x,D24.15))', |
684 |
& 'ibi F(lwd,swi,lwu) ', |
685 |
& F_lwd(I,J), F_swi(I,J), F_lwu(I,J) |
686 |
|
687 |
print '(A,4(1x,D24.15))', |
688 |
& 'ibi F(c,lh,sens) ', |
689 |
& F_c(I,J), F_lh(I,J), F_sens(I,J) |
690 |
|
691 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
692 |
IF (F_lh_max(I,J) .GT. ZERO) THEN |
693 |
print '(A,4(1x,D24.15))', |
694 |
& 'ibi F_lh_max, F_lh/lhmax) ', |
695 |
& F_lh_max(I,J), F_lh(I,J)/ F_lh_max(I,J) |
696 |
ELSE |
697 |
print '(A,4(1x,D24.15))', |
698 |
& 'ibi F_lh_max = ZERO! ' |
699 |
ENDIF |
700 |
|
701 |
print '(A,4(1x,D24.15))', |
702 |
& 'ibi FWsub, FWsubm*dT/rhoI ', |
703 |
& FWsublim(I,J), |
704 |
& FWsublim(I,J)*SEAICE_deltaTtherm/SEAICE_rhoICE |
705 |
#endif |
706 |
#endif |
707 |
|
708 |
print '(A,4(1x,D24.15))', |
709 |
& 'ibi F_ia, F_ia_net, F_c ', |
710 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
711 |
& -(A1(I,J)+A2(I,J)), |
712 |
& -(A1(I,J)+A2(I,J)-F_c(I,J)), |
713 |
& F_c(I,J) |
714 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
715 |
& F_ia(I,J), |
716 |
& F_ia_net(I,J), |
717 |
& F_c(I,J) |
718 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
719 |
|
720 |
print '(A)','----------------------------------------' |
721 |
|
722 |
ENDIF |
723 |
#endif /* SEAICE_DEBUG */ |
724 |
|
725 |
ENDIF !/* iceOrNot */ |
726 |
ENDDO !/* i */ |
727 |
ENDDO !/* j */ |
728 |
|
729 |
RETURN |
730 |
END |