1 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_solve4temp.F,v 1.15 2011/06/19 23:01:54 ifenty 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, D3 |
124 |
_RL TMELT, XKI, XKS, HCUT, XIO |
125 |
_RL SurfMeltTemp |
126 |
C effective conductivity of combined ice and snow |
127 |
_RL effConduct(1:sNx,1:sNy) |
128 |
|
129 |
C Constants to calculate Saturation Vapor Pressure |
130 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
131 |
_RL TMELTP, C1, C2, C3, C4, C5, QS1 |
132 |
_RL A2 (1:sNx,1:sNy) |
133 |
_RL A3 (1:sNx,1:sNy) |
134 |
c _RL B (1:sNx,1:sNy) |
135 |
_RL A1 (1:sNx,1:sNy) |
136 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
137 |
_RL dFiDTs1 |
138 |
_RL aa1,aa2,bb1,bb2,Ppascals,cc0,cc1,cc2,cc3t |
139 |
C specific humidity at ice surface variables |
140 |
_RL mm_pi,mm_log10pi,dqhice_dTice |
141 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
142 |
|
143 |
C latent heat of sublimation for ice (SEAICE_lhEvap + |
144 |
C SEAICE_lhFusion) |
145 |
_RL lhSublim |
146 |
|
147 |
C powers of temperature |
148 |
_RL t1, t2, t3, t4 |
149 |
_RL lnTEN |
150 |
CEOP |
151 |
|
152 |
#ifdef ALLOW_AUTODIFF_TAMC |
153 |
CADJ INIT comlev1_solve4temp = COMMON, sNx*sNy*NMAX_TICE |
154 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
155 |
|
156 |
lnTEN = log(10.0 _d 0) |
157 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
158 |
C MAYKUTS CONSTANTS FOR SAT. VAP. PRESSURE TEMP. POLYNOMIAL |
159 |
C1= 2.7798202 _d -06 |
160 |
C2= -2.6913393 _d -03 |
161 |
C3= 0.97920849 _d +00 |
162 |
C4= -158.63779 _d +00 |
163 |
C5= 9653.1925 _d +00 |
164 |
|
165 |
QS1=0.622 _d +00/1013.0 _d +00 |
166 |
|
167 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
168 |
aa1 = 2663.5 _d 0 |
169 |
aa2 = 12.537 _d 0 |
170 |
bb1 = 0.622 _d 0 |
171 |
bb2 = 1.0 _d 0 - bb1 |
172 |
Ppascals = 100000. _d 0 |
173 |
C cc0 = TEN ** aa2 |
174 |
cc0 = exp(aa2*lnTEN) |
175 |
cc1 = cc0*aa1*bb1*Ppascals*lnTEN |
176 |
cc2 = cc0*bb2 |
177 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
178 |
|
179 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
180 |
kSrf = 1 |
181 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
182 |
|
183 |
C SENSIBLE HEAT CONSTANT |
184 |
D1=SEAICE_dalton*SEAICE_cpAir*SEAICE_rhoAir |
185 |
|
186 |
C ICE LATENT HEAT CONSTANT |
187 |
lhSublim = SEAICE_lhEvap + SEAICE_lhFusion |
188 |
D1I=SEAICE_dalton*lhSublim*SEAICE_rhoAir |
189 |
|
190 |
C STEFAN BOLTZMAN CONSTANT TIMES 0.97 EMISSIVITY |
191 |
D3=SEAICE_emissivity |
192 |
|
193 |
C MELTING TEMPERATURE OF ICE |
194 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
195 |
TMELT = 273.16 _d +00 |
196 |
TMELTP = 273.159 _d +00 |
197 |
SurfMeltTemp = TMELTP |
198 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
199 |
TMELT = celsius2K |
200 |
SurfMeltTemp = TMELT |
201 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
202 |
|
203 |
C ICE CONDUCTIVITY |
204 |
XKI=SEAICE_iceConduct |
205 |
|
206 |
C SNOW CONDUCTIVITY |
207 |
XKS=SEAICE_snowConduct |
208 |
|
209 |
C CUTOFF SNOW THICKNESS |
210 |
HCUT=SEAICE_snowThick |
211 |
|
212 |
C PENETRATION SHORTWAVE RADIATION FACTOR |
213 |
XIO=SEAICE_shortwave |
214 |
|
215 |
C Initialize variables |
216 |
DO J=1,sNy |
217 |
DO I=1,sNx |
218 |
C HICE_ACTUAL is modified in this routine, but at the same time |
219 |
C used to decided where there is ice, therefore we save this information |
220 |
C here in a separate array |
221 |
iceOrNot (I,J) = HICE_ACTUAL(I,J) .GT. 0. _d 0 |
222 |
C |
223 |
IcePenetSWFlux (I,J) = 0. _d 0 |
224 |
IcePenetSWFluxFrac (I,J) = 0. _d 0 |
225 |
AbsorbedSWFlux (I,J) = 0. _d 0 |
226 |
|
227 |
qhice (I,J) = 0. _d 0 |
228 |
F_ia (I,J) = 0. _d 0 |
229 |
|
230 |
F_io_net (I,J) = 0. _d 0 |
231 |
F_ia_net (I,J) = 0. _d 0 |
232 |
|
233 |
F_lh (I,J) = 0. _d 0 |
234 |
|
235 |
C Reset the snow/ice surface to TMELT and bound the atmospheric temperature |
236 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
237 |
tsurfLoc (I,J) = MIN(273.16 _d 0 + MAX_TICE,TSURF(I,J,bi,bj)) |
238 |
atempLoc (I,J) = MAX(273.16 _d 0 + MIN_ATEMP,ATEMP(I,J,bi,bj)) |
239 |
A1(I,J) = 0.0 _d 0 |
240 |
A2(I,J) = 0.0 _d 0 |
241 |
A3(I,J) = 0.0 _d 0 |
242 |
c B(I,J) = 0.0 _d 0 |
243 |
lwdownLoc(I,J) = MAX(MIN_LWDOWN,LWDOWN(I,J,bi,bj)) |
244 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
245 |
F_swi (I,J) = 0. _d 0 |
246 |
F_lwd (I,J) = 0. _d 0 |
247 |
F_lwu (I,J) = 0. _d 0 |
248 |
F_sens (I,J) = 0. _d 0 |
249 |
|
250 |
tsurfLoc (I,J) = TSURF(I,J,bi,bj) |
251 |
atempLoc (I,J) = MAX(TMELT + MIN_ATEMP,ATEMP(I,J,bi,bj)) |
252 |
lwdownLoc(I,J) = LWDOWN(I,J,bi,bj) |
253 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
254 |
|
255 |
C FREEZING TEMPERATURE OF SEAWATER |
256 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
257 |
C Use a variable seawater freezing point |
258 |
TB(I,J) = -0.0575 _d 0*salt(I,J,kSrf,bi,bj) + 0.0901 _d 0 |
259 |
& + celsius2K |
260 |
#else |
261 |
C Use a constant freezing temperature (SEAICE_VARIABLE_FREEZING_POINT undef) |
262 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
263 |
TB(I,J) = 271.2 _d 0 |
264 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
265 |
TB(I,J) = celsius2K + SEAICE_freeze |
266 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
267 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
268 |
ENDDO |
269 |
ENDDO |
270 |
|
271 |
DO J=1,sNy |
272 |
DO I=1,sNx |
273 |
|
274 |
C DECIDE ON ALBEDO |
275 |
IF ( iceOrNot(I,J) ) THEN |
276 |
|
277 |
IF ( YC(I,J,bi,bj) .LT. 0.0 _d 0 ) THEN |
278 |
IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
279 |
ALB_ICE (I,J) = SEAICE_wetIceAlb_south |
280 |
ALB_SNOW(I,J) = SEAICE_wetSnowAlb_south |
281 |
ELSE ! no surface melting |
282 |
ALB_ICE (I,J) = SEAICE_dryIceAlb_south |
283 |
ALB_SNOW(I,J) = SEAICE_drySnowAlb_south |
284 |
ENDIF |
285 |
ELSE !/ Northern Hemisphere |
286 |
IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
287 |
ALB_ICE (I,J) = SEAICE_wetIceAlb |
288 |
ALB_SNOW(I,J) = SEAICE_wetSnowAlb |
289 |
ELSE ! no surface melting |
290 |
ALB_ICE (I,J) = SEAICE_dryIceAlb |
291 |
ALB_SNOW(I,J) = SEAICE_drySnowAlb |
292 |
ENDIF |
293 |
ENDIF !/ Albedo for snow and ice |
294 |
|
295 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
296 |
C If actual snow thickness exceeds the cutoff thickness, use the |
297 |
C snow albedo |
298 |
IF (HSNOW_ACTUAL(I,J) .GT. HCUT) THEN |
299 |
ALB(I,J) = ALB_SNOW(I,J) |
300 |
|
301 |
C otherwise, use some combination of ice and snow albedo |
302 |
C (What is the source of this formulation ?) |
303 |
ELSE |
304 |
ALB(I,J) = MIN(ALB_ICE(I,J) + HSNOW_ACTUAL(I,J)/HCUT* |
305 |
& (ALB_SNOW(I,J) -ALB_ICE(I,J)), |
306 |
& ALB_SNOW(I,J)) |
307 |
ENDIF |
308 |
|
309 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
310 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
311 |
ALB(I,J) = ALB_SNOW(I,J) |
312 |
ELSE |
313 |
ALB(I,J) = ALB_ICE(I,J) |
314 |
ENDIF |
315 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
316 |
|
317 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
318 |
C NOW DETERMINE FIXED FORCING TERM IN HEAT BUDGET |
319 |
|
320 |
#ifdef ALLOW_DOWNWARD_RADIATION |
321 |
IF(HSNOW_ACTUAL(I,J).GT.0.0) THEN |
322 |
C NO SW PENETRATION WITH SNOW |
323 |
A1(I,J)=(1.0 _d 0 - ALB(I,J))*SWDOWN(I,J,bi,bj) |
324 |
& +lwdownLoc(I,J)*0.97 _d 0 |
325 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
326 |
ELSE |
327 |
C SW PENETRATION UNDER ICE |
328 |
A1(I,J)=(1.0 _d 0 - ALB(I,J))*SWDOWN(I,J,bi,bj) |
329 |
& *(1.0 _d 0 - XIO*EXP(-1.5 _d 0*HICE_ACTUAL(I,J))) |
330 |
& +lwdownLoc(I,J)*0.97 _d 0 |
331 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
332 |
ENDIF |
333 |
#endif /* ALLOW_DOWNWARD_RADIATION */ |
334 |
|
335 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
336 |
|
337 |
C The longwave radiative flux convergence |
338 |
F_lwd(I,J) = - 0.97 _d 0 * lwdownLoc(I,J) |
339 |
|
340 |
C Determine the fraction of shortwave radiative flux |
341 |
C remaining after scattering through the snow and ice at |
342 |
C the ocean interface. If snow is present, no radiation |
343 |
C penetrates to the ocean. |
344 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
345 |
IcePenetSWFluxFrac(I,J) = 0.0 _d 0 |
346 |
ELSE |
347 |
IcePenetSWFluxFrac(I,J) = |
348 |
& XIO*EXP(-1.5 _d 0 * HICE_ACTUAL(I,J)) |
349 |
ENDIF |
350 |
|
351 |
C The shortwave radiative flux convergence in the |
352 |
C seaice. |
353 |
AbsorbedSWFlux(I,J) = -(1.0 _d 0 - ALB(I,J))* |
354 |
& (1.0 _d 0 - IcePenetSWFluxFrac(I,J)) |
355 |
& *SWDOWN(I,J,bi,bj) |
356 |
|
357 |
C The shortwave radiative flux convergence in the |
358 |
C ocean beneath ice. |
359 |
IcePenetSWFlux(I,J) = -(1.0 _d 0 - ALB(I,J))* |
360 |
& IcePenetSWFluxFrac(I,J) |
361 |
& *SWDOWN(I,J,bi,bj) |
362 |
|
363 |
F_swi(I,J) = AbsorbedSWFlux(I,J) |
364 |
|
365 |
C Set a mininum sea ice thickness of 5 cm to bound |
366 |
C the magnitude of conductive heat fluxes. |
367 |
cif * now taken care of by SEAICE_hice_reg in seaice_growth |
368 |
C hice_tmp = max(HICE_ACTUAL(I,J),5. _d -2) |
369 |
|
370 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
371 |
|
372 |
C The effective conductivity of the two-layer |
373 |
C snow/ice system. |
374 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
375 |
effConduct(I,J)= |
376 |
& XKS/(HSNOW_ACTUAL(I,J)/HICE_ACTUAL(I,J) + |
377 |
& XKS/XKI)/HICE_ACTUAL(I,J) |
378 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
379 |
effConduct(I,J) = XKI * XKS / |
380 |
& (XKS * HICE_ACTUAL(I,j) + XKI * HSNOW_ACTUAL(I,J)) |
381 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
382 |
|
383 |
#ifdef SEAICE_DEBUG |
384 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
385 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
386 |
|
387 |
print '(A,i6)','-----------------------------------' |
388 |
print '(A,i6)','ibi merged initialization ', myIter |
389 |
|
390 |
print '(A,i6,4(1x,D24.15))', |
391 |
& 'ibi iter, TSL, TS ',myIter, |
392 |
& tsurfLoc(I,J), TSURF(I,J,bi,bj) |
393 |
|
394 |
print '(A,i6,4(1x,D24.15))', |
395 |
& 'ibi iter, TMELT ',myIter,TMELT |
396 |
|
397 |
print '(A,i6,4(1x,D24.15))', |
398 |
& 'ibi iter, HIA, EFKCON ',myIter, |
399 |
& HICE_ACTUAL(I,J), effConduct(I,J) |
400 |
|
401 |
print '(A,i6,4(1x,D24.15))', |
402 |
& 'ibi iter, HSNOW ',myIter, |
403 |
& HSNOW_ACTUAL(I,J), ALB(I,J) |
404 |
|
405 |
print '(A,i6)','-----------------------------------' |
406 |
print '(A,i6)','ibi energy balance iterat ', myIter |
407 |
|
408 |
ENDIF |
409 |
#endif /* SEAICE_DEBUG */ |
410 |
|
411 |
ENDIF !/* iceOrNot */ |
412 |
ENDDO !/* i */ |
413 |
ENDDO !/* j */ |
414 |
Ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc |
415 |
DO ITER=1,IMAX_TICE |
416 |
DO J=1,sNy |
417 |
DO I=1,sNx |
418 |
#ifdef ALLOW_AUTODIFF_TAMC |
419 |
iicekey = I + sNx*(J-1) + (ITER-1)*sNx*sNy |
420 |
CADJ STORE tsurfloc(i,j) = comlev1_solve4temp, |
421 |
CADJ & key = iicekey, byte = isbyte |
422 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
423 |
|
424 |
IF ( iceOrNot(I,J) ) THEN |
425 |
|
426 |
t1 = tsurfLoc(I,J) |
427 |
t2 = t1*t1 |
428 |
t3 = t2*t1 |
429 |
t4 = t2*t2 |
430 |
|
431 |
C Calculate the specific humidity in the BL above the snow/ice |
432 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
433 |
C Use the Maykut polynomial |
434 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
435 |
|
436 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
437 |
C Use an approximation which is more accurate at low temperatures |
438 |
|
439 |
C log 10 of the sat vap pressure |
440 |
mm_log10pi = -aa1 / t1 + aa2 |
441 |
|
442 |
C The saturation vapor pressure (SVP) in the surface |
443 |
C boundary layer (BL) above the snow/ice. |
444 |
C mm_pi = TEN **(mm_log10pi) |
445 |
C The following form does the same, but is faster |
446 |
mm_pi = exp(mm_log10pi*lnTEN) |
447 |
|
448 |
qhice(I,J) = bb1*mm_pi / (Ppascals - (1.0 _d 0 - bb1) * |
449 |
& mm_pi) |
450 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
451 |
|
452 |
C Calculate the flux terms based on the updated tsurfLoc |
453 |
F_c(I,J) = -effConduct(I,J)*(TB(I,J)-tsurfLoc(I,J)) |
454 |
F_lh(I,J) = D1I*UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
455 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
456 |
A2(I,J)=-D1*UG(I,J)*t1-D1I*UG(I,J)*qhice(I,J)-D3*t4 |
457 |
A3(I,J) = 4.0 _d 0 * D3 * t3 + effConduct(I,J) + D1*UG(I,J) |
458 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
459 |
C A constant for SVP derivative w.r.t TICE |
460 |
C cc3t = TEN **(aa1 / t1) |
461 |
C The following form does the same, but is faster |
462 |
cc3t = exp(aa1 / t1 * lnTEN) |
463 |
|
464 |
c d(qh)/d(TICE) |
465 |
dqhice_dTice = cc1*cc3t/((cc2-cc3t*Ppascals)**2 *t2) |
466 |
|
467 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
468 |
c if the latent heat flux implied by tsurfLoc exceeds |
469 |
c F_lh_max, cap F_lh and decouple the flux magnitude from TICE |
470 |
if (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
471 |
F_lh(I,J) = F_lh_max(I,J) |
472 |
dqhice_dTice = ZERO |
473 |
endif |
474 |
#endif |
475 |
|
476 |
|
477 |
c d(F_ia)/d(TICE) |
478 |
dFiDTs1 = 4.0 _d 0 * D3*t3 + effConduct(I,J) + D1*UG(I,J) |
479 |
& + D1I*UG(I,J)*dqhice_dTice |
480 |
|
481 |
F_lwu(I,J)= t4 * D3 |
482 |
|
483 |
F_sens(I,J)= D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
484 |
|
485 |
F_ia(I,J) = F_lwd(I,J) + F_swi(I,J) + F_lwu(I,J) + |
486 |
& F_c(I,J) + F_sens(I,J) + F_lh(I,J) |
487 |
|
488 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
489 |
|
490 |
#ifdef SEAICE_DEBUG |
491 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
492 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
493 |
print '(A,i6,4(1x,D24.15))', |
494 |
& 'ice-iter qhICE, ', ITER,qhIce(I,J) |
495 |
|
496 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
497 |
print '(A,i6,4(1x,D24.15))', |
498 |
& 'ice-iter A1 A2 B ', ITER,A1(I,J), A2(I,J), |
499 |
& -F_c(I,J) |
500 |
|
501 |
print '(A,i6,4(1x,D24.15))', |
502 |
& 'ice-iter A3 (-A1+A2) ', ITER, A3(I,J), |
503 |
& -(A1(I,J) + A2(I,J)) |
504 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
505 |
|
506 |
print '(A,i6,4(1x,D24.15))', |
507 |
& 'ice-iter dFiDTs1 F_ia ', ITER, dFiDTs1, |
508 |
& F_ia(I,J) |
509 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
510 |
|
511 |
ENDIF |
512 |
#endif /* SEAICE_DEBUG */ |
513 |
|
514 |
C Update tsurfLoc |
515 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
516 |
tsurfLoc(I,J)=tsurfLoc(I,J) |
517 |
& +(A1(I,J)+A2(I,J)-F_c(I,J))/A3(I,J) |
518 |
|
519 |
tsurfLoc(I,J) =MAX(273.16 _d 0+MIN_TICE,tsurfLoc(I,J)) |
520 |
tsurfLoc(I,J) =MIN(tsurfLoc(I,J),TMELT) |
521 |
|
522 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
523 |
tsurfLoc(I,J) = tsurfLoc(I,J) - F_ia(I,J) / dFiDTs1 |
524 |
|
525 |
C If the search leads to tsurfLoc < 50 Kelvin, |
526 |
C restart the search at tsurfLoc = TMELT. Note that one |
527 |
C solution to the energy balance problem is an |
528 |
C extremely low temperature - a temperature far below |
529 |
C realistic values. |
530 |
|
531 |
IF (tsurfLoc(I,J) .LT. 50.0 _d 0 ) THEN |
532 |
tsurfLoc(I,J) = TMELT |
533 |
ENDIF |
534 |
tsurfLoc(I,J) =MIN(tsurfLoc(I,J),TMELT) |
535 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
536 |
|
537 |
#ifdef SEAICE_DEBUG |
538 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
539 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
540 |
|
541 |
print '(A,i6,4(1x,D24.15))', |
542 |
& 'ice-iter tsurfLc,|dif|', ITER, |
543 |
& tsurfLoc(I,J), |
544 |
& log10(abs(tsurfLoc(I,J) - t1)) |
545 |
ENDIF |
546 |
#endif /* SEAICE_DEBUG */ |
547 |
|
548 |
ENDIF !/* iceOrNot */ |
549 |
ENDDO !/* i */ |
550 |
ENDDO !/* j */ |
551 |
ENDDO !/* Iterations */ |
552 |
Ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc |
553 |
DO J=1,sNy |
554 |
DO I=1,sNx |
555 |
IF ( iceOrNot(I,J) ) THEN |
556 |
|
557 |
C Finalize the flux terms |
558 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
559 |
F_ia(I,J)=-A1(I,J)-A2(I,J) |
560 |
TSURF(I,J,bi,bj)=MIN(tsurfLoc(I,J),TMELT) |
561 |
|
562 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0 ) THEN |
563 |
C NO SW PENETRATION WITH SNOW |
564 |
IcePenetSWFlux(I,J)=0.0 _d 0 |
565 |
ELSE |
566 |
C SW PENETRATION UNDER ICE |
567 |
|
568 |
#ifdef ALLOW_DOWNWARD_RADIATION |
569 |
IcePenetSWFlux(I,J)=-(1.0 _d 0 -ALB(I,J))*SWDOWN(I,J,bi,bj) |
570 |
& *XIO*EXP(-1.5 _d 0*HICE_ACTUAL(I,J)) |
571 |
#endif /* ALLOW_DOWNWARD_RADIATION */ |
572 |
ENDIF |
573 |
|
574 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
575 |
TSURF(I,J,bi,bj) = tsurfLoc(I,J) |
576 |
|
577 |
C Recalculate the fluxes based on the (possibly) adjusted TSURF |
578 |
t1 = tsurfLoc(I,J) |
579 |
t2 = t1*t1 |
580 |
t3 = t2*t1 |
581 |
t4 = t2*t2 |
582 |
|
583 |
C log 10 of the sat vap pressure |
584 |
mm_log10pi = -aa1 / t1 + aa2 |
585 |
|
586 |
C saturation vapor pressure |
587 |
C mm_pi = TEN **(mm_log10pi) |
588 |
C The following form does the same, but is faster |
589 |
mm_pi = exp(mm_log10pi*lnTEN) |
590 |
|
591 |
C over ice specific humidity |
592 |
qhice(I,J) = bb1*mm_pi/(Ppascals- (1.0 _d 0 - bb1) * mm_pi) |
593 |
|
594 |
F_lh(I,J) = D1I * UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
595 |
|
596 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
597 |
if (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
598 |
F_lh(I,J) = F_lh_max(I,J) |
599 |
endif |
600 |
#endif |
601 |
|
602 |
F_c(I,J) = -effConduct(I,J) * (TB(I,J) - t1) |
603 |
F_lwu(I,J) = t4 * D3 |
604 |
F_sens(I,J) = D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
605 |
|
606 |
C The flux between the ice/snow surface and the atmosphere. |
607 |
C (excludes upward conductive fluxes) |
608 |
F_ia(I,J) = F_lwd(I,J) + F_swi(I,J) + F_lwu(I,J) + |
609 |
& F_sens(I,J) + F_lh(I,J) |
610 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
611 |
|
612 |
#ifdef SEAICE_MODIFY_GROWTH_ADJ |
613 |
Cgf no additional dependency through solver, snow, etc. |
614 |
if ( SEAICEadjMODE.GE.2 ) then |
615 |
CALL ZERO_ADJ_1D( 1, TSURF(I,J,bi,bj), myThid) |
616 |
t1 = TSURF(I,J,bi,bj) |
617 |
t2 = t1*t1 |
618 |
t3 = t2*t1 |
619 |
t4 = t2*t2 |
620 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
621 |
|
622 |
A1(I,J)=0.3 _d 0 *SWDOWN(I,J,bi,bj)+lwdownLoc(I,J)*0.97 _d 0 |
623 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
624 |
A2(I,J)=-D1*UG(I,J)*t1-D1I*UG(I,J)*qhice(I,J)-D3*t4 |
625 |
|
626 |
F_ia(I,J)=-A1(I,J)-A2(I,J) |
627 |
IcePenetSWFlux(I,J)= 0. _d 0 |
628 |
endif |
629 |
#endif |
630 |
|
631 |
C Caclulate the net ice-ocean and ice-atmosphere fluxes |
632 |
IF (F_c(I,J) .LT. 0.0 _d 0) THEN |
633 |
F_io_net(I,J) = -F_c(I,J) |
634 |
F_ia_net(I,J) = 0.0 _d 0 |
635 |
ELSE |
636 |
F_io_net(I,J) = 0.0 _d 0 |
637 |
F_ia_net(I,J) = F_ia(I,J) |
638 |
ENDIF !/* conductive fluxes up or down */ |
639 |
C Fresh water flux (kg/m^2/s) from latent heat of sublimation. |
640 |
C F_lh is positive upward (sea ice looses heat) and FWsublim |
641 |
C is also positive upward (atmosphere gains freshwater) |
642 |
FWsublim(I,J) = F_lh(I,J)/lhSublim |
643 |
|
644 |
#ifdef SEAICE_DEBUG |
645 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
646 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
647 |
|
648 |
print '(A)','----------------------------------------' |
649 |
print '(A,i6)','ibi complete ', myIter |
650 |
|
651 |
print '(A,4(1x,D24.15))', |
652 |
& 'ibi T(SURF, surfLoc,atmos) ', |
653 |
& TSURF(I,J,bi,bj), tsurfLoc(I,J),atempLoc(I,J) |
654 |
|
655 |
print '(A,4(1x,D24.15))', |
656 |
& 'ibi LWL ', lwdownLoc(I,J) |
657 |
|
658 |
print '(A,4(1x,D24.15))', |
659 |
& 'ibi QSW(Total, Penetrating)', |
660 |
& SWDOWN(I,J,bi,bj), IcePenetSWFlux(I,J) |
661 |
|
662 |
print '(A,4(1x,D24.15))', |
663 |
& 'ibi qh(ATM ICE) ', |
664 |
& AQH(I,J,bi,bj),qhice(I,J) |
665 |
|
666 |
#ifndef SEAICE_SOLVE4TEMP_LEGACY |
667 |
print '(A,4(1x,D24.15))', |
668 |
& 'ibi F(lwd,swi,lwu) ', |
669 |
& F_lwd(I,J), F_swi(I,J), F_lwu(I,J) |
670 |
|
671 |
print '(A,4(1x,D24.15))', |
672 |
& 'ibi F(c,lh,sens) ', |
673 |
& F_c(I,J), F_lh(I,J), F_sens(I,J) |
674 |
|
675 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
676 |
IF (F_lh_max(I,J) .GT. ZERO) THEN |
677 |
print '(A,4(1x,D24.15))', |
678 |
& 'ibi F_lh_max, F_lh/lhmax) ', |
679 |
& F_lh_max(I,J), F_lh(I,J)/ F_lh_max(I,J) |
680 |
ELSE |
681 |
print '(A,4(1x,D24.15))', |
682 |
& 'ibi F_lh_max = ZERO! ' |
683 |
ENDIF |
684 |
|
685 |
print '(A,4(1x,D24.15))', |
686 |
& 'ibi FWsub, FWsubm*dT/rhoI ', |
687 |
& FWsublim(I,J), |
688 |
& FWsublim(I,J)*SEAICE_deltaTtherm/SEAICE_rhoICE |
689 |
#endif |
690 |
#endif |
691 |
|
692 |
print '(A,4(1x,D24.15))', |
693 |
& 'ibi F_ia, F_ia_net, F_c ', |
694 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
695 |
& -(A1(I,J)+A2(I,J)), |
696 |
& -(A1(I,J)+A2(I,J)-F_c(I,J)), |
697 |
& F_c(I,J) |
698 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
699 |
& F_ia(I,J), |
700 |
& F_ia_net(I,J), |
701 |
& F_c(I,J) |
702 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
703 |
|
704 |
print '(A)','----------------------------------------' |
705 |
|
706 |
ENDIF |
707 |
#endif /* SEAICE_DEBUG */ |
708 |
|
709 |
ENDIF !/* iceOrNot */ |
710 |
ENDDO !/* i */ |
711 |
ENDDO !/* j */ |
712 |
|
713 |
RETURN |
714 |
END |