1 | MODULE limthd_ent |
---|
2 | !!====================================================================== |
---|
3 | !! *** MODULE limthd_ent *** |
---|
4 | !! Redistribution of Enthalpy in the ice |
---|
5 | !! on the new vertical grid |
---|
6 | !! after vertical growth/decay |
---|
7 | !!====================================================================== |
---|
8 | #if defined key_lim3 |
---|
9 | !!---------------------------------------------------------------------- |
---|
10 | !! 'key_lim3' LIM3 sea-ice model |
---|
11 | !!---------------------------------------------------------------------- |
---|
12 | !! lim_thd_ent : ice redistribution of enthalpy |
---|
13 | !!---------------------------------------------------------------------- |
---|
14 | USE par_oce ! ocean parameters |
---|
15 | USE dom_oce |
---|
16 | USE domain |
---|
17 | USE in_out_manager |
---|
18 | USE phycst |
---|
19 | USE thd_ice |
---|
20 | USE ice |
---|
21 | USE limvar |
---|
22 | USE par_ice |
---|
23 | USE lib_mpp |
---|
24 | |
---|
25 | IMPLICIT NONE |
---|
26 | PRIVATE |
---|
27 | |
---|
28 | PUBLIC lim_thd_ent ! called by lim_thd |
---|
29 | |
---|
30 | REAL(wp) :: & ! constant values |
---|
31 | epsi20 = 1.e-20 , & |
---|
32 | epsi13 = 1.e-13 , & |
---|
33 | zzero = 0.e0 , & |
---|
34 | zone = 1.e0 , & |
---|
35 | epsi10 = 1.0e-10 |
---|
36 | !!---------------------------------------------------------------------- |
---|
37 | !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) |
---|
38 | !! $Id$ |
---|
39 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
40 | !!---------------------------------------------------------------------- |
---|
41 | CONTAINS |
---|
42 | |
---|
43 | SUBROUTINE lim_thd_ent(kideb,kiut,jl) |
---|
44 | !!------------------------------------------------------------------- |
---|
45 | !! *** ROUTINE lim_thd_ent *** |
---|
46 | !! |
---|
47 | !! ** Purpose : |
---|
48 | !! This routine computes new vertical grids |
---|
49 | !! in the ice and in the snow, and consistently redistributes |
---|
50 | !! temperatures in the snow / ice. |
---|
51 | !! Redistribution is made so as to ensure to energy conservation |
---|
52 | !! |
---|
53 | !! |
---|
54 | !! ** Method : linear conservative remapping |
---|
55 | !! |
---|
56 | !! ** Steps : 1) Grid |
---|
57 | !! 2) Switches |
---|
58 | !! 3) Snow redistribution |
---|
59 | !! 4) Ice enthalpy redistribution |
---|
60 | !! 5) Ice salinity, recover temperature |
---|
61 | !! |
---|
62 | !! ** Arguments |
---|
63 | !! |
---|
64 | !! ** Inputs / Outputs |
---|
65 | !! |
---|
66 | !! ** External |
---|
67 | !! |
---|
68 | !! ** References : Bitz & Lipscomb, JGR 99; Vancoppenolle et al., GRL, 2005 |
---|
69 | !! |
---|
70 | !! ** History : (05-2003) Martin V. UCL-Astr |
---|
71 | !! (07-2005) Martin for 3d adapatation |
---|
72 | !! (11-2006) Vectorized by Xavier Fettweis (ASTR) |
---|
73 | !! (03-2008) Energy conservation and clean code |
---|
74 | !! * Arguments |
---|
75 | |
---|
76 | INTEGER , INTENT(IN):: & |
---|
77 | kideb , & ! start point on which the the computation is applied |
---|
78 | kiut , & ! end point on which the the computation is applied |
---|
79 | jl ! thickness category number |
---|
80 | |
---|
81 | INTEGER :: & |
---|
82 | ji,jk , & ! dummy loop indices |
---|
83 | zji, zjj , & ! dummy indices |
---|
84 | ntop0 , & ! old layer top index |
---|
85 | nbot1 , & ! new layer bottom index |
---|
86 | ntop1 , & ! new layer top index |
---|
87 | limsum , & ! temporary loop index |
---|
88 | nlayi0,nlays0 , & ! old number of layers |
---|
89 | maxnbot0 , & ! old layer bottom index |
---|
90 | layer0, layer1 ! old/new layer indexes |
---|
91 | |
---|
92 | INTEGER, DIMENSION(jpij) :: & |
---|
93 | snswi , & ! snow switch |
---|
94 | nbot0 , & ! old layer bottom index |
---|
95 | icsuind , & ! ice surface index |
---|
96 | icsuswi , & ! ice surface switch |
---|
97 | icboind , & ! ice bottom index |
---|
98 | icboswi , & ! ice bottom switch |
---|
99 | snicind , & ! snow ice index |
---|
100 | snicswi , & ! snow ice switch |
---|
101 | snind ! snow index |
---|
102 | |
---|
103 | REAL(wp) :: & |
---|
104 | zeps, zeps6 , & ! numerical constant very small |
---|
105 | ztmelts , & ! ice melting point |
---|
106 | zqsnic , & ! enthalpy of snow ice layer |
---|
107 | zhsnow , & ! temporary snow thickness variable |
---|
108 | zswitch , & ! dummy switch argument |
---|
109 | zfac1 , & ! dummy factor |
---|
110 | zfac2 , & ! dummy factor |
---|
111 | ztform , & !: bottom formation temperature |
---|
112 | zaaa , & !: dummy factor |
---|
113 | zbbb , & !: dummy factor |
---|
114 | zccc , & !: dummy factor |
---|
115 | zdiscrim !: dummy factor |
---|
116 | |
---|
117 | REAL(wp), DIMENSION(jpij) :: & |
---|
118 | zh_i , & ! thickness of an ice layer |
---|
119 | zh_s , & ! thickness of a snow layer |
---|
120 | zqsnow , & ! enthalpy of the snow put in snow ice |
---|
121 | zdeltah ! temporary variable |
---|
122 | |
---|
123 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: & |
---|
124 | zm0 , & ! old layer-system vertical cotes |
---|
125 | qm0 , & ! old layer-system heat content |
---|
126 | z_s , & ! new snow system vertical cotes |
---|
127 | z_i , & ! new ice system vertical cotes |
---|
128 | zthick0 ! old ice thickness |
---|
129 | |
---|
130 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: & |
---|
131 | zhl0 ! old and new layer thicknesses |
---|
132 | |
---|
133 | REAL(wp), DIMENSION(0:jkmax+3,0:jkmax+3) :: & |
---|
134 | zrl01 |
---|
135 | |
---|
136 | ! Energy conservation |
---|
137 | REAL(wp), DIMENSION(jpij) :: & |
---|
138 | zqti_in, zqts_in, & |
---|
139 | zqti_fin, zqts_fin |
---|
140 | |
---|
141 | !------------------------------------------------------------------------------| |
---|
142 | |
---|
143 | zeps = 1.0d-20 |
---|
144 | zeps6 = 1.0d-06 |
---|
145 | zthick0(:,:) = 0.0 |
---|
146 | zm0(:,:) = 0.0 |
---|
147 | qm0(:,:) = 0.0 |
---|
148 | zrl01(:,:) = 0.0 |
---|
149 | zhl0(:,:) = 0.0 |
---|
150 | z_i(:,:) = 0.0 |
---|
151 | z_s(:,:) = 0.0 |
---|
152 | |
---|
153 | ! |
---|
154 | !------------------------------------------------------------------------------| |
---|
155 | ! 1) Grid | |
---|
156 | !------------------------------------------------------------------------------| |
---|
157 | ! |
---|
158 | nlays0 = nlay_s |
---|
159 | nlayi0 = nlay_i |
---|
160 | |
---|
161 | DO ji = kideb, kiut |
---|
162 | zh_i(ji) = old_ht_i_b(ji) / nlay_i |
---|
163 | zh_s(ji) = old_ht_s_b(ji) / nlay_s |
---|
164 | ENDDO |
---|
165 | |
---|
166 | ! |
---|
167 | !------------------------------------------------------------------------------| |
---|
168 | ! 2) Switches | |
---|
169 | !------------------------------------------------------------------------------| |
---|
170 | ! |
---|
171 | ! 2.1 snind(ji), snswi(ji) |
---|
172 | ! snow surface behaviour : computation of snind(ji)-snswi(ji) |
---|
173 | ! snind(ji) : index which equals |
---|
174 | ! 0 if snow is accumulating |
---|
175 | ! 1 if 1st layer is melting |
---|
176 | ! 2 if 2nd layer is melting ... |
---|
177 | DO ji = kideb, kiut |
---|
178 | snind(ji) = 0 |
---|
179 | zdeltah(ji) = 0.0 |
---|
180 | ENDDO !ji |
---|
181 | |
---|
182 | DO jk = 1, nlays0 |
---|
183 | DO ji = kideb, kiut |
---|
184 | snind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-zeps))) & |
---|
185 | + snind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-zeps)))) |
---|
186 | zdeltah(ji)= zdeltah(ji) + zh_s(ji) |
---|
187 | END DO ! ji |
---|
188 | ENDDO ! jk |
---|
189 | |
---|
190 | ! snswi(ji) : switch which value equals 1 if snow melts |
---|
191 | ! 0 if not |
---|
192 | DO ji = kideb, kiut |
---|
193 | snswi(ji) = MAX(0,INT(-dh_s_tot(ji)/MAX(zeps,ABS(dh_s_tot(ji))))) |
---|
194 | ENDDO ! ji |
---|
195 | |
---|
196 | ! 2.2 icsuind(ji), icsuswi(ji) |
---|
197 | ! ice surface behaviour : computation of icsuind(ji)-icsuswi(ji) |
---|
198 | ! icsuind(ji) : index which equals |
---|
199 | ! 0 if nothing happens at the surface |
---|
200 | ! 1 if first layer is melting |
---|
201 | ! 2 if 2nd layer is reached by melt ... |
---|
202 | DO ji = kideb, kiut |
---|
203 | icsuind(ji) = 0 |
---|
204 | zdeltah(ji) = 0.0 |
---|
205 | ENDDO !ji |
---|
206 | DO jk = 1, nlayi0 |
---|
207 | DO ji = kideb, kiut |
---|
208 | icsuind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-zeps))) & |
---|
209 | + icsuind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-zeps)))) |
---|
210 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
---|
211 | END DO ! ji |
---|
212 | ENDDO !jk |
---|
213 | |
---|
214 | ! icsuswi(ji) : switch which equals |
---|
215 | ! 1 if ice melts at the surface |
---|
216 | ! 0 if not |
---|
217 | DO ji = kideb, kiut |
---|
218 | icsuswi(ji) = MAX(0,INT(-dh_i_surf(ji)/MAX(zeps , ABS(dh_i_surf(ji)) ) ) ) |
---|
219 | ENDDO |
---|
220 | |
---|
221 | ! 2.3 icboind(ji), icboswi(ji) |
---|
222 | ! ice bottom behaviour : computation of icboind(ji)-icboswi(ji) |
---|
223 | ! icboind(ji) : index which equals |
---|
224 | ! 0 if accretion is on the way |
---|
225 | ! 1 if last layer has started to melt |
---|
226 | ! 2 if penultiem layer is melting ... and so on |
---|
227 | ! N+1 if all layers melt and that snow transforms into ice |
---|
228 | DO ji = kideb, kiut |
---|
229 | icboind(ji) = 0 |
---|
230 | zdeltah(ji) = 0.0 |
---|
231 | ENDDO |
---|
232 | DO jk = nlayi0, 1, -1 |
---|
233 | DO ji = kideb, kiut |
---|
234 | icboind(ji) = (nlayi0+1-jk) & |
---|
235 | * INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-zeps))) & |
---|
236 | + icboind(ji) & |
---|
237 | * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-zeps)))) |
---|
238 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
---|
239 | END DO |
---|
240 | ENDDO |
---|
241 | |
---|
242 | DO ji = kideb, kiut |
---|
243 | ! case of total ablation with remaining snow |
---|
244 | IF ( ( ht_i_b(ji) .GT. zeps ) .AND. & |
---|
245 | ( ht_i_b(ji) - dh_snowice(ji) .LT. zeps ) ) icboind(ji) = nlay_i + 1 |
---|
246 | END DO |
---|
247 | |
---|
248 | ! icboswi(ji) : switch which equals |
---|
249 | ! 1 if ice accretion is on the way |
---|
250 | ! 0 if ablation is on the way |
---|
251 | DO ji = kideb, kiut |
---|
252 | icboswi(ji) = MAX(0,INT(dh_i_bott(ji) / MAX(zeps,ABS(dh_i_bott(ji))))) |
---|
253 | ENDDO |
---|
254 | |
---|
255 | ! 2.4 snicind(ji), snicswi(ji) |
---|
256 | ! snow ice formation : calcul de snicind(ji)-snicswi(ji) |
---|
257 | ! snicind(ji) : index which equals |
---|
258 | ! 0 if no snow-ice forms |
---|
259 | ! 1 if last layer of snow has started to melt |
---|
260 | ! 2 if penultiem layer ... |
---|
261 | DO ji = kideb, kiut |
---|
262 | snicind(ji) = 0 |
---|
263 | zdeltah(ji) = 0.0 |
---|
264 | ENDDO |
---|
265 | DO jk = nlays0, 1, -1 |
---|
266 | DO ji = kideb, kiut |
---|
267 | snicind(ji) = (nlays0+1-jk) & |
---|
268 | * INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-zeps))) & |
---|
269 | + snicind(ji) & |
---|
270 | * (1 - INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-zeps)))) |
---|
271 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
---|
272 | END DO |
---|
273 | ENDDO |
---|
274 | |
---|
275 | ! snicswi(ji) : switch which equals |
---|
276 | ! 1 if snow-ice forms |
---|
277 | ! 0 if not |
---|
278 | DO ji = kideb, kiut |
---|
279 | snicswi(ji) = MAX(0,INT(dh_snowice(ji)/MAX(zeps,ABS(dh_snowice(ji))))) |
---|
280 | ENDDO |
---|
281 | |
---|
282 | ! |
---|
283 | !------------------------------------------------------------------------------| |
---|
284 | ! 3) Snow redistribution | |
---|
285 | !------------------------------------------------------------------------------| |
---|
286 | ! |
---|
287 | !------------- |
---|
288 | ! Old profile |
---|
289 | !------------- |
---|
290 | |
---|
291 | ! by 'old', it is meant that layers coming from accretion are included, |
---|
292 | ! and that interfacial layers which were partly melted are reduced |
---|
293 | |
---|
294 | ! indexes of the vectors |
---|
295 | !------------------------ |
---|
296 | ntop0 = 1 |
---|
297 | maxnbot0 = 0 |
---|
298 | |
---|
299 | DO ji = kideb, kiut |
---|
300 | nbot0(ji) = nlays0 + 1 - snind(ji) + ( 1. - snicind(ji) ) * & |
---|
301 | snicswi(ji) |
---|
302 | ! cotes of the top of the layers |
---|
303 | zm0(ji,0) = 0.0 |
---|
304 | maxnbot0 = MAX ( maxnbot0 , nbot0(ji) ) |
---|
305 | ENDDO |
---|
306 | IF( lk_mpp ) CALL mpp_max( maxnbot0, kcom=ncomm_ice ) |
---|
307 | |
---|
308 | DO jk = 1, maxnbot0 |
---|
309 | DO ji = kideb, kiut |
---|
310 | !change |
---|
311 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + & |
---|
312 | snswi(ji) * ( jk + snind(ji) - 1 ) |
---|
313 | limsum = MIN( limsum , nlay_s ) |
---|
314 | zm0(ji,jk) = dh_s_tot(ji) + zh_s(ji) * limsum |
---|
315 | END DO |
---|
316 | ENDDO |
---|
317 | |
---|
318 | DO ji = kideb, kiut |
---|
319 | zm0(ji,nbot0(ji)) = dh_s_tot(ji) - snicswi(ji) * dh_snowice(ji) + & |
---|
320 | zh_s(ji) * nlays0 |
---|
321 | zm0(ji,1) = dh_s_tot(ji) * (1 -snswi(ji) ) + & |
---|
322 | snswi(ji) * zm0(ji,1) |
---|
323 | ENDDO |
---|
324 | |
---|
325 | DO jk = ntop0, maxnbot0 |
---|
326 | DO ji = kideb, kiut |
---|
327 | ! layer thickness |
---|
328 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
---|
329 | END DO |
---|
330 | ENDDO |
---|
331 | |
---|
332 | zqts_in(:) = 0.0 |
---|
333 | |
---|
334 | DO ji = kideb, kiut |
---|
335 | ! layer heat content |
---|
336 | qm0(ji,1) = rhosn * ( cpic * ( rtt - ( 1. - snswi(ji) ) * ( tatm_ice_1d(ji) ) & |
---|
337 | - snswi(ji) * t_s_b(ji,1) ) & |
---|
338 | + lfus ) * zthick0(ji,1) |
---|
339 | zqts_in(ji) = zqts_in(ji) + qm0(ji,1) |
---|
340 | ENDDO |
---|
341 | |
---|
342 | DO jk = 2, maxnbot0 |
---|
343 | DO ji = kideb, kiut |
---|
344 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + & |
---|
345 | snswi(ji) * ( jk + snind(ji) - 1 ) |
---|
346 | limsum = MIN( limsum , nlay_s ) |
---|
347 | qm0(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,limsum) ) + lfus ) & |
---|
348 | * zthick0(ji,jk) |
---|
349 | zswitch = 1.0 - MAX (0.0, SIGN ( 1.0, zeps - ht_s_b(ji) ) ) |
---|
350 | zqts_in(ji) = zqts_in(ji) + ( 1. - snswi(ji) ) * qm0(ji,jk) * zswitch |
---|
351 | END DO ! jk |
---|
352 | ENDDO ! ji |
---|
353 | |
---|
354 | !------------------------------------------------ |
---|
355 | ! Energy given by the snow in snow-ice formation |
---|
356 | !------------------------------------------------ |
---|
357 | ! zqsnow, enthalpy of the flooded snow |
---|
358 | DO ji = kideb, kiut |
---|
359 | zqsnow(ji) = rhosn*lfus |
---|
360 | zdeltah(ji) = 0.0 |
---|
361 | ENDDO |
---|
362 | |
---|
363 | DO jk = nlays0, 1, -1 |
---|
364 | DO ji = kideb, kiut |
---|
365 | zhsnow = MAX(0.0,dh_snowice(ji)-zdeltah(ji)) |
---|
366 | zqsnow(ji) = zqsnow(ji) + & |
---|
367 | rhosn*cpic*(rtt-t_s_b(ji,jk)) |
---|
368 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
---|
369 | END DO |
---|
370 | ENDDO |
---|
371 | |
---|
372 | DO ji = kideb, kiut |
---|
373 | zqsnow(ji) = zqsnow(ji) * dh_snowice(ji) |
---|
374 | END DO |
---|
375 | |
---|
376 | !------------------ |
---|
377 | ! new snow profile |
---|
378 | !------------------ |
---|
379 | |
---|
380 | !-------------- |
---|
381 | ! Vector index |
---|
382 | !-------------- |
---|
383 | ntop1 = 1 |
---|
384 | nbot1 = nlay_s |
---|
385 | |
---|
386 | !------------------- |
---|
387 | ! Layer coordinates |
---|
388 | !------------------- |
---|
389 | DO ji = kideb, kiut |
---|
390 | zh_s(ji) = ht_s_b(ji) / nlay_s |
---|
391 | z_s(ji,0) = 0.0 |
---|
392 | ENDDO |
---|
393 | |
---|
394 | DO jk = 1, nlay_s |
---|
395 | DO ji = kideb, kiut |
---|
396 | z_s(ji,jk) = zh_s(ji) * jk |
---|
397 | END DO |
---|
398 | ENDDO |
---|
399 | |
---|
400 | !----------------- |
---|
401 | ! Layer thickness |
---|
402 | !----------------- |
---|
403 | DO layer0 = ntop0, maxnbot0 |
---|
404 | DO ji = kideb, kiut |
---|
405 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) |
---|
406 | END DO |
---|
407 | ENDDO |
---|
408 | |
---|
409 | DO layer1 = ntop1, nbot1 |
---|
410 | DO ji = kideb, kiut |
---|
411 | q_s_b(ji,layer1)= 0.0 |
---|
412 | END DO |
---|
413 | ENDDO |
---|
414 | |
---|
415 | !---------------- |
---|
416 | ! Weight factors |
---|
417 | !---------------- |
---|
418 | DO layer0 = ntop0, maxnbot0 |
---|
419 | DO layer1 = ntop1, nbot1 |
---|
420 | DO ji = kideb, kiut |
---|
421 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_s(ji,layer1)) & |
---|
422 | - MAX(zm0(ji,layer0-1), z_s(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
423 | q_s_b(ji,layer1) = q_s_b(ji,layer1) + zrl01(layer1,layer0)*qm0(ji,layer0) & |
---|
424 | * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+zeps)) |
---|
425 | END DO |
---|
426 | END DO |
---|
427 | ENDDO |
---|
428 | |
---|
429 | ! Heat conservation |
---|
430 | zqts_fin(:) = 0.0 |
---|
431 | DO jk = 1, nlay_s |
---|
432 | DO ji = kideb, kiut |
---|
433 | zqts_fin(ji) = zqts_fin(ji) + q_s_b(ji,jk) |
---|
434 | END DO |
---|
435 | END DO |
---|
436 | |
---|
437 | IF ( con_i ) THEN |
---|
438 | DO ji = kideb, kiut |
---|
439 | IF ( ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
---|
440 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
441 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
442 | WRITE(numout,*) ' violation of heat conservation : ', & |
---|
443 | ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice |
---|
444 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
---|
445 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
---|
446 | WRITE(numout,*) ' zqts_in : ', zqts_in(ji) / rdt_ice |
---|
447 | WRITE(numout,*) ' zqts_fin : ', zqts_fin(ji) / rdt_ice |
---|
448 | WRITE(numout,*) ' dh_snowice : ', dh_snowice(ji) |
---|
449 | WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) |
---|
450 | WRITE(numout,*) ' snswi : ', snswi(ji) |
---|
451 | ENDIF |
---|
452 | END DO |
---|
453 | ENDIF |
---|
454 | |
---|
455 | !--------------------- |
---|
456 | ! Recover heat content |
---|
457 | !--------------------- |
---|
458 | DO jk = 1, nlay_s |
---|
459 | DO ji = kideb, kiut |
---|
460 | q_s_b(ji,jk) = q_s_b(ji,jk) / MAX( zh_s(ji) , zeps ) |
---|
461 | END DO !ji |
---|
462 | ENDDO !jk |
---|
463 | |
---|
464 | !--------------------- |
---|
465 | ! Recover temperature |
---|
466 | !--------------------- |
---|
467 | zfac1 = 1. / ( rhosn * cpic ) |
---|
468 | zfac2 = lfus / cpic |
---|
469 | DO jk = 1, nlay_s |
---|
470 | DO ji = kideb, kiut |
---|
471 | zswitch = MAX ( 0.0 , SIGN ( 1.0, zeps - ht_s_b(ji) ) ) |
---|
472 | t_s_b(ji,jk) = rtt & |
---|
473 | + ( 1.0 - zswitch ) * & |
---|
474 | ( - zfac1 * q_s_b(ji,jk) + zfac2 ) |
---|
475 | END DO |
---|
476 | ENDDO |
---|
477 | ! |
---|
478 | !------------------------------------------------------------------------------| |
---|
479 | ! 4) Ice redistribution | |
---|
480 | !------------------------------------------------------------------------------| |
---|
481 | ! |
---|
482 | !------------- |
---|
483 | ! OLD PROFILE |
---|
484 | !------------- |
---|
485 | |
---|
486 | !---------------- |
---|
487 | ! Vector indexes |
---|
488 | !---------------- |
---|
489 | ntop0 = 1 |
---|
490 | maxnbot0 = 0 |
---|
491 | |
---|
492 | DO ji = kideb, kiut |
---|
493 | ! reference number of the bottommost layer |
---|
494 | nbot0(ji) = MAX( 1 , MIN( nlayi0 + ( 1 - icboind(ji) ) + & |
---|
495 | ( 1 - icsuind(ji) ) * icsuswi(ji) + snicswi(ji) , & |
---|
496 | nlay_i + 2 ) ) |
---|
497 | ! maximum reference number of the bottommost layer over all domain |
---|
498 | maxnbot0 = MAX( maxnbot0 , nbot0(ji) ) |
---|
499 | ENDDO |
---|
500 | |
---|
501 | !------------------------- |
---|
502 | ! Cotes of old ice layers |
---|
503 | !------------------------- |
---|
504 | zm0(:,0) = 0.0 |
---|
505 | |
---|
506 | DO jk = 1, maxnbot0 |
---|
507 | DO ji = kideb, kiut |
---|
508 | ! jk goes from 1 to nbot0 |
---|
509 | ! the ice layer number goes from 1 to nlay_i |
---|
510 | ! limsum is the real ice layer number corresponding to present jk |
---|
511 | limsum = ( (icsuswi(ji)*(icsuind(ji)+jk-1) + & |
---|
512 | (1-icsuswi(ji))*jk))*(1-snicswi(ji)) + (jk-1)*snicswi(ji) |
---|
513 | zm0(ji,jk)= icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) & |
---|
514 | + limsum * zh_i(ji) |
---|
515 | END DO |
---|
516 | ENDDO |
---|
517 | |
---|
518 | DO ji = kideb, kiut |
---|
519 | zm0(ji,nbot0(ji)) = icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) + dh_i_bott(ji) & |
---|
520 | + zh_i(ji) * nlayi0 |
---|
521 | zm0(ji,1) = snicswi(ji)*dh_snowice(ji) + (1-snicswi(ji))*zm0(ji,1) |
---|
522 | ENDDO |
---|
523 | |
---|
524 | !----------------------------- |
---|
525 | ! Thickness of old ice layers |
---|
526 | !----------------------------- |
---|
527 | DO jk = ntop0, maxnbot0 |
---|
528 | DO ji = kideb, kiut |
---|
529 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
---|
530 | END DO |
---|
531 | ENDDO |
---|
532 | |
---|
533 | !--------------------------- |
---|
534 | ! Inner layers heat content |
---|
535 | !--------------------------- |
---|
536 | qm0(:,:) = 0.0 |
---|
537 | zqti_in(:) = 0.0 |
---|
538 | |
---|
539 | DO jk = ntop0, maxnbot0 |
---|
540 | DO ji = kideb, kiut |
---|
541 | limsum = MAX(1,MIN(snicswi(ji)*(jk-1) + icsuswi(ji)*(jk-1+icsuind(ji)) + & |
---|
542 | (1-icsuswi(ji))*(1-snicswi(ji))*jk,nlay_i)) |
---|
543 | ztmelts = -tmut * s_i_b(ji,limsum) + rtt |
---|
544 | qm0(ji,jk) = rhoic * ( cpic * (ztmelts-t_i_b(ji,limsum)) + lfus * ( 1.0-(ztmelts-rtt)/ & |
---|
545 | MIN((t_i_b(ji,limsum)-rtt),-zeps) ) - rcp*(ztmelts-rtt) ) & |
---|
546 | * zthick0(ji,jk) |
---|
547 | END DO |
---|
548 | ENDDO |
---|
549 | |
---|
550 | !---------------------------- |
---|
551 | ! Bottom layers heat content |
---|
552 | !---------------------------- |
---|
553 | DO ji = kideb, kiut |
---|
554 | ztmelts = ( 1.0 - icboswi(ji) ) * (-tmut * s_i_b(ji,nlayi0)) & ! case of melting ice |
---|
555 | + icboswi(ji) * (-tmut * s_i_new(ji)) & ! case of forming ice |
---|
556 | + rtt ! this temperature is in Celsius |
---|
557 | |
---|
558 | ! bottom formation temperature |
---|
559 | ztform = t_i_b(ji,nlay_i) |
---|
560 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) ztform = t_bo_b(ji) |
---|
561 | qm0(ji,nbot0(ji)) = ( 1.0 - icboswi(ji) )*qm0(ji,nbot0(ji)) & ! case of melting ice |
---|
562 | + icboswi(ji) * & ! case of forming ice |
---|
563 | rhoic*( cpic*(ztmelts-ztform) & |
---|
564 | + lfus *( 1.0-(ztmelts-rtt)/ & |
---|
565 | MIN ( (ztform-rtt) , - epsi10 ) ) & |
---|
566 | - rcp*(ztmelts-rtt) ) & |
---|
567 | *zthick0(ji,nbot0(ji)) |
---|
568 | ENDDO |
---|
569 | |
---|
570 | !----------------------------- |
---|
571 | ! Snow ice layer heat content |
---|
572 | !----------------------------- |
---|
573 | DO ji = kideb, kiut |
---|
574 | ! energy of the flooding seawater |
---|
575 | zqsnic = rau0 * rcp * ( rtt - t_bo_b(ji) ) * dh_snowice(ji) * & |
---|
576 | (rhoic - rhosn) / rhoic * snicswi(ji) ! generally positive |
---|
577 | ! Heat conservation diagnostic |
---|
578 | qt_i_in(ji,jl) = qt_i_in(ji,jl) + zqsnic |
---|
579 | |
---|
580 | qldif_1d(ji) = qldif_1d(ji) + zqsnic * a_i_b(ji) |
---|
581 | |
---|
582 | ! enthalpy of the newly formed snow-ice layer |
---|
583 | ! = enthalpy of snow + enthalpy of frozen water |
---|
584 | zqsnic = zqsnow(ji) + zqsnic |
---|
585 | qm0(ji,1) = snicswi(ji) * zqsnic + ( 1 - snicswi(ji) ) * qm0(ji,1) |
---|
586 | |
---|
587 | ENDDO ! ji |
---|
588 | |
---|
589 | DO jk = ntop0, maxnbot0 |
---|
590 | DO ji = kideb, kiut |
---|
591 | ! Heat conservation |
---|
592 | zqti_in(ji) = zqti_in(ji) + qm0(ji,jk) & |
---|
593 | * MAX( 0.0 , SIGN(1.0,ht_i_b(ji)-zeps6+zeps) ) & |
---|
594 | * MAX( 0.0 , SIGN( 1. , nbot0(ji) - jk + zeps ) ) |
---|
595 | END DO |
---|
596 | ENDDO |
---|
597 | |
---|
598 | !------------- |
---|
599 | ! NEW PROFILE |
---|
600 | !------------- |
---|
601 | |
---|
602 | !--------------- |
---|
603 | ! Vectors index |
---|
604 | !--------------- |
---|
605 | |
---|
606 | ntop1 = 1 |
---|
607 | nbot1 = nlay_i |
---|
608 | |
---|
609 | !------------------ |
---|
610 | ! Layers thickness |
---|
611 | !------------------ |
---|
612 | DO ji = kideb, kiut |
---|
613 | zh_i(ji) = ht_i_b(ji) / nlay_i |
---|
614 | ENDDO |
---|
615 | |
---|
616 | !------------- |
---|
617 | ! Layer cotes |
---|
618 | !------------- |
---|
619 | z_i(:,0) = 0.0 |
---|
620 | DO jk = 1, nlay_i |
---|
621 | DO ji = kideb, kiut |
---|
622 | z_i(ji,jk) = zh_i(ji) * jk |
---|
623 | END DO |
---|
624 | ENDDO |
---|
625 | |
---|
626 | !--thicknesses of the layers |
---|
627 | DO layer0 = ntop0, maxnbot0 |
---|
628 | DO ji = kideb, kiut |
---|
629 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) !thicknesses of the layers |
---|
630 | END DO |
---|
631 | ENDDO |
---|
632 | |
---|
633 | !------------------------ |
---|
634 | ! Weights for relayering |
---|
635 | !------------------------ |
---|
636 | |
---|
637 | q_i_b(:,:) = 0.0 |
---|
638 | DO layer0 = ntop0, maxnbot0 |
---|
639 | DO layer1 = ntop1, nbot1 |
---|
640 | DO ji = kideb, kiut |
---|
641 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_i(ji,layer1)) & |
---|
642 | - MAX(zm0(ji,layer0-1), z_i(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
643 | q_i_b(ji,layer1) = q_i_b(ji,layer1) & |
---|
644 | + zrl01(layer1,layer0)*qm0(ji,layer0) & |
---|
645 | * MAX(0.0,SIGN(1.0,ht_i_b(ji)-zeps6+zeps)) & |
---|
646 | * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+zeps)) |
---|
647 | END DO |
---|
648 | END DO |
---|
649 | ENDDO |
---|
650 | |
---|
651 | !------------------------- |
---|
652 | ! Heat conservation check |
---|
653 | !------------------------- |
---|
654 | zqti_fin(:) = 0.0 |
---|
655 | DO jk = 1, nlay_i |
---|
656 | DO ji = kideb, kiut |
---|
657 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) |
---|
658 | END DO |
---|
659 | END DO |
---|
660 | ! |
---|
661 | DO ji = kideb, kiut |
---|
662 | IF ( ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
---|
663 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
664 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
665 | WRITE(numout,*) ' violation of heat conservation : ', & |
---|
666 | ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice |
---|
667 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
---|
668 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
669 | WRITE(numout,*) ' zqti_in : ', zqti_in(ji) / rdt_ice |
---|
670 | WRITE(numout,*) ' zqti_fin : ', zqti_fin(ji) / rdt_ice |
---|
671 | WRITE(numout,*) ' dh_i_bott: ', dh_i_bott(ji) |
---|
672 | WRITE(numout,*) ' dh_i_surf: ', dh_i_surf(ji) |
---|
673 | WRITE(numout,*) ' dh_snowice:', dh_snowice(ji) |
---|
674 | WRITE(numout,*) ' icsuswi : ', icsuswi(ji) |
---|
675 | WRITE(numout,*) ' icboswi : ', icboswi(ji) |
---|
676 | WRITE(numout,*) ' snicswi : ', snicswi(ji) |
---|
677 | ENDIF |
---|
678 | END DO |
---|
679 | |
---|
680 | !---------------------- |
---|
681 | ! Recover heat content |
---|
682 | !---------------------- |
---|
683 | DO jk = 1, nlay_i |
---|
684 | DO ji = kideb, kiut |
---|
685 | q_i_b(ji,jk) = q_i_b(ji,jk) / MAX( zh_i(ji) , zeps ) |
---|
686 | END DO !ji |
---|
687 | ENDDO !jk |
---|
688 | |
---|
689 | ! Heat conservation |
---|
690 | zqti_fin(:) = 0.0 |
---|
691 | DO jk = 1, nlay_i |
---|
692 | DO ji = kideb, kiut |
---|
693 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) * zh_i(ji) |
---|
694 | END DO |
---|
695 | END DO |
---|
696 | |
---|
697 | ! |
---|
698 | !------------------------------------------------------------------------------| |
---|
699 | ! 5) Update salinity and recover temperature | |
---|
700 | !------------------------------------------------------------------------------| |
---|
701 | ! |
---|
702 | ! Update salinity (basal entrapment, snow ice formation) |
---|
703 | DO ji = kideb, kiut |
---|
704 | sm_i_b(ji) = sm_i_b(ji) & |
---|
705 | + dsm_i_se_1d(ji) + dsm_i_si_1d(ji) |
---|
706 | END DO !ji |
---|
707 | |
---|
708 | ! Recover temperature |
---|
709 | DO jk = 1, nlay_i |
---|
710 | |
---|
711 | DO ji = kideb, kiut |
---|
712 | |
---|
713 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
---|
714 | !Conversion q(S,T) -> T (second order equation) |
---|
715 | zaaa = cpic |
---|
716 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + & |
---|
717 | q_i_b(ji,jk) / rhoic - lfus |
---|
718 | zccc = lfus * ( ztmelts - rtt ) |
---|
719 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
---|
720 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / & |
---|
721 | ( 2.0 *zaaa ) |
---|
722 | END DO !ji |
---|
723 | |
---|
724 | END DO !jk |
---|
725 | |
---|
726 | END SUBROUTINE lim_thd_ent |
---|
727 | |
---|
728 | #else |
---|
729 | !!====================================================================== |
---|
730 | !! *** MODULE limthd_ent *** |
---|
731 | !! no sea ice model |
---|
732 | !!====================================================================== |
---|
733 | CONTAINS |
---|
734 | SUBROUTINE lim_thd_ent ! Empty routine |
---|
735 | END SUBROUTINE lim_thd_ent |
---|
736 | #endif |
---|
737 | END MODULE limthd_ent |
---|