1 |
|
2 |
! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/advn.F,v 1.1.1.1 2004/05/19 |
3 |
! 12:53:06 lmdzadmin Exp $ |
4 |
|
5 |
SUBROUTINE advn(q, masse, w, pbaru, pbarv, pdt, mode) |
6 |
|
7 |
! Auteur : F. Hourdin |
8 |
|
9 |
! ******************************************************************** |
10 |
! Shema d'advection " pseudo amont " . |
11 |
! ******************************************************************** |
12 |
! q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
13 |
|
14 |
! pbaru,pbarv,w flux de masse en u ,v ,w |
15 |
! pdt pas de temps |
16 |
|
17 |
! -------------------------------------------------------------------- |
18 |
USE dimens_m |
19 |
USE paramet_m |
20 |
USE comconst |
21 |
USE disvert_m |
22 |
USE conf_gcm_m |
23 |
USE comgeom |
24 |
IMPLICIT NONE |
25 |
|
26 |
|
27 |
|
28 |
! Arguments: |
29 |
! ---------- |
30 |
INTEGER mode |
31 |
REAL masse(ip1jmp1, llm) |
32 |
REAL, INTENT (IN) :: pbaru(ip1jmp1, llm), pbarv(ip1jm, llm) |
33 |
REAL q(ip1jmp1, llm) |
34 |
REAL w(ip1jmp1, llm), pdt |
35 |
|
36 |
! Local |
37 |
! --------- |
38 |
|
39 |
INTEGER ij, l |
40 |
REAL zm(ip1jmp1, llm) |
41 |
REAL mu(ip1jmp1, llm) |
42 |
REAL mv(ip1jm, llm) |
43 |
REAL mw(ip1jmp1, llm+1) |
44 |
REAL zq(ip1jmp1, llm), qpn, qps |
45 |
REAL zqg(ip1jmp1, llm), zqd(ip1jmp1, llm) |
46 |
REAL zqs(ip1jmp1, llm), zqn(ip1jmp1, llm) |
47 |
REAL zqh(ip1jmp1, llm), zqb(ip1jmp1, llm) |
48 |
REAL ssum |
49 |
REAL zzpbar, zzw |
50 |
|
51 |
zzpbar = 0.5*pdt |
52 |
zzw = pdt |
53 |
|
54 |
DO l = 1, llm |
55 |
DO ij = iip2, ip1jm |
56 |
mu(ij, l) = pbaru(ij, l)*zzpbar |
57 |
END DO |
58 |
DO ij = 1, ip1jm |
59 |
mv(ij, l) = pbarv(ij, l)*zzpbar |
60 |
END DO |
61 |
DO ij = 1, ip1jmp1 |
62 |
mw(ij, l) = w(ij, l)*zzw |
63 |
END DO |
64 |
END DO |
65 |
|
66 |
DO ij = 1, ip1jmp1 |
67 |
mw(ij, llm+1) = 0. |
68 |
END DO |
69 |
|
70 |
DO l = 1, llm |
71 |
qpn = 0. |
72 |
qps = 0. |
73 |
DO ij = 1, iim |
74 |
qpn = qpn + q(ij, l)*masse(ij, l) |
75 |
qps = qps + q(ip1jm+ij, l)*masse(ip1jm+ij, l) |
76 |
END DO |
77 |
qpn = qpn/ssum(iim, masse(1,l), 1) |
78 |
qps = qps/ssum(iim, masse(ip1jm+1,l), 1) |
79 |
DO ij = 1, iip1 |
80 |
q(ij, l) = qpn |
81 |
q(ip1jm+ij, l) = qps |
82 |
END DO |
83 |
END DO |
84 |
|
85 |
DO ij = 1, ip1jmp1 |
86 |
mw(ij, llm+1) = 0. |
87 |
END DO |
88 |
DO l = 1, llm |
89 |
DO ij = 1, ip1jmp1 |
90 |
zq(ij, l) = q(ij, l) |
91 |
zm(ij, l) = masse(ij, l) |
92 |
END DO |
93 |
END DO |
94 |
|
95 |
! call minmaxq(zq,qmin,qmax,'avant vlx ') |
96 |
CALL advnqx(zq, zqg, zqd) |
97 |
CALL advnx(zq, zqg, zqd, zm, mu, mode) |
98 |
CALL advnqy(zq, zqs, zqn) |
99 |
CALL advny(zq, zqs, zqn, zm, mv) |
100 |
CALL advnqz(zq, zqh, zqb) |
101 |
CALL advnz(zq, zqh, zqb, zm, mw) |
102 |
! call vlz(zq,0.,zm,mw) |
103 |
CALL advnqy(zq, zqs, zqn) |
104 |
CALL advny(zq, zqs, zqn, zm, mv) |
105 |
CALL advnqx(zq, zqg, zqd) |
106 |
CALL advnx(zq, zqg, zqd, zm, mu, mode) |
107 |
! call minmaxq(zq,qmin,qmax,'apres vlx ') |
108 |
|
109 |
DO l = 1, llm |
110 |
DO ij = 1, ip1jmp1 |
111 |
q(ij, l) = zq(ij, l) |
112 |
END DO |
113 |
DO ij = 1, ip1jm + 1, iip1 |
114 |
q(ij+iim, l) = q(ij, l) |
115 |
END DO |
116 |
END DO |
117 |
|
118 |
RETURN |
119 |
END SUBROUTINE advn |
120 |
|
121 |
SUBROUTINE advnqx(q, qg, qd) |
122 |
|
123 |
! Auteurs: Calcul des valeurs de q aux point u. |
124 |
|
125 |
! -------------------------------------------------------------------- |
126 |
USE dimens_m |
127 |
USE paramet_m |
128 |
USE conf_gcm_m |
129 |
IMPLICIT NONE |
130 |
|
131 |
|
132 |
|
133 |
! Arguments: |
134 |
! ---------- |
135 |
REAL q(ip1jmp1, llm), qg(ip1jmp1, llm), qd(ip1jmp1, llm) |
136 |
|
137 |
! Local |
138 |
! --------- |
139 |
|
140 |
INTEGER ij, l |
141 |
|
142 |
REAL dxqu(ip1jmp1), zqu(ip1jmp1) |
143 |
REAL zqmax(ip1jmp1), zqmin(ip1jmp1) |
144 |
LOGICAL extremum(ip1jmp1) |
145 |
|
146 |
INTEGER mode |
147 |
SAVE mode |
148 |
DATA mode/1/ |
149 |
|
150 |
! calcul des pentes en u: |
151 |
! ----------------------- |
152 |
IF (mode==0) THEN |
153 |
DO l = 1, llm |
154 |
DO ij = 1, ip1jm |
155 |
qd(ij, l) = q(ij, l) |
156 |
qg(ij, l) = q(ij, l) |
157 |
END DO |
158 |
END DO |
159 |
ELSE |
160 |
DO l = 1, llm |
161 |
DO ij = iip2, ip1jm - 1 |
162 |
dxqu(ij) = q(ij+1, l) - q(ij, l) |
163 |
zqu(ij) = 0.5*(q(ij+1,l)+q(ij,l)) |
164 |
END DO |
165 |
DO ij = iip1 + iip1, ip1jm, iip1 |
166 |
dxqu(ij) = dxqu(ij-iim) |
167 |
zqu(ij) = zqu(ij-iim) |
168 |
END DO |
169 |
DO ij = iip2, ip1jm - 1 |
170 |
zqu(ij) = zqu(ij) - dxqu(ij+1)/12. |
171 |
END DO |
172 |
DO ij = iip1 + iip1, ip1jm, iip1 |
173 |
zqu(ij) = zqu(ij-iim) |
174 |
END DO |
175 |
DO ij = iip2 + 1, ip1jm |
176 |
zqu(ij) = zqu(ij) + dxqu(ij-1)/12. |
177 |
END DO |
178 |
DO ij = iip1 + iip1, ip1jm, iip1 |
179 |
zqu(ij-iim) = zqu(ij) |
180 |
END DO |
181 |
|
182 |
! calcul des valeurs max et min acceptees aux interfaces |
183 |
|
184 |
DO ij = iip2, ip1jm - 1 |
185 |
zqmax(ij) = max(q(ij+1,l), q(ij,l)) |
186 |
zqmin(ij) = min(q(ij+1,l), q(ij,l)) |
187 |
END DO |
188 |
DO ij = iip1 + iip1, ip1jm, iip1 |
189 |
zqmax(ij) = zqmax(ij-iim) |
190 |
zqmin(ij) = zqmin(ij-iim) |
191 |
END DO |
192 |
DO ij = iip2 + 1, ip1jm |
193 |
extremum(ij) = dxqu(ij)*dxqu(ij-1) <= 0. |
194 |
END DO |
195 |
DO ij = iip1 + iip1, ip1jm, iip1 |
196 |
extremum(ij-iim) = extremum(ij) |
197 |
END DO |
198 |
DO ij = iip2, ip1jm |
199 |
zqu(ij) = min(max(zqmin(ij),zqu(ij)), zqmax(ij)) |
200 |
END DO |
201 |
DO ij = iip2 + 1, ip1jm |
202 |
IF (extremum(ij)) THEN |
203 |
qg(ij, l) = q(ij, l) |
204 |
qd(ij, l) = q(ij, l) |
205 |
ELSE |
206 |
qd(ij, l) = zqu(ij) |
207 |
qg(ij, l) = zqu(ij-1) |
208 |
END IF |
209 |
END DO |
210 |
DO ij = iip1 + iip1, ip1jm, iip1 |
211 |
qd(ij-iim, l) = qd(ij, l) |
212 |
qg(ij-iim, l) = qg(ij, l) |
213 |
END DO |
214 |
|
215 |
GO TO 8888 |
216 |
|
217 |
DO ij = iip2 + 1, ip1jm |
218 |
IF (extremum(ij) .AND. .NOT. extremum(ij-1)) qd(ij-1, l) = q(ij, l) |
219 |
END DO |
220 |
|
221 |
DO ij = iip1 + iip1, ip1jm, iip1 |
222 |
qd(ij-iim, l) = qd(ij, l) |
223 |
END DO |
224 |
DO ij = iip2, ip1jm - 1 |
225 |
IF (extremum(ij) .AND. .NOT. extremum(ij+1)) qg(ij+1, l) = q(ij, l) |
226 |
END DO |
227 |
|
228 |
DO ij = iip1 + iip1, ip1jm, iip1 |
229 |
qg(ij, l) = qg(ij-iim, l) |
230 |
END DO |
231 |
8888 CONTINUE |
232 |
END DO |
233 |
END IF |
234 |
RETURN |
235 |
END SUBROUTINE advnqx |
236 |
SUBROUTINE advnqy(q, qs, qn) |
237 |
|
238 |
! Auteurs: Calcul des valeurs de q aux point v. |
239 |
|
240 |
! -------------------------------------------------------------------- |
241 |
USE dimens_m |
242 |
USE paramet_m |
243 |
USE conf_gcm_m |
244 |
IMPLICIT NONE |
245 |
|
246 |
|
247 |
|
248 |
! Arguments: |
249 |
! ---------- |
250 |
REAL q(ip1jmp1, llm), qs(ip1jmp1, llm), qn(ip1jmp1, llm) |
251 |
|
252 |
! Local |
253 |
! --------- |
254 |
|
255 |
INTEGER ij, l |
256 |
|
257 |
REAL dyqv(ip1jm), zqv(ip1jm, llm) |
258 |
REAL zqmax(ip1jm), zqmin(ip1jm) |
259 |
LOGICAL extremum(ip1jmp1) |
260 |
|
261 |
INTEGER mode |
262 |
SAVE mode |
263 |
DATA mode/1/ |
264 |
|
265 |
IF (mode==0) THEN |
266 |
DO l = 1, llm |
267 |
DO ij = 1, ip1jmp1 |
268 |
qn(ij, l) = q(ij, l) |
269 |
qs(ij, l) = q(ij, l) |
270 |
END DO |
271 |
END DO |
272 |
ELSE |
273 |
|
274 |
! calcul des pentes en u: |
275 |
! ----------------------- |
276 |
DO l = 1, llm |
277 |
DO ij = 1, ip1jm |
278 |
dyqv(ij) = q(ij, l) - q(ij+iip1, l) |
279 |
END DO |
280 |
|
281 |
DO ij = iip2, ip1jm - iip1 |
282 |
zqv(ij, l) = 0.5*(q(ij+iip1,l)+q(ij,l)) |
283 |
zqv(ij, l) = zqv(ij, l) + (dyqv(ij+iip1)-dyqv(ij-iip1))/12. |
284 |
END DO |
285 |
|
286 |
DO ij = iip2, ip1jm |
287 |
extremum(ij) = dyqv(ij)*dyqv(ij-iip1) <= 0. |
288 |
END DO |
289 |
|
290 |
! Pas de pentes aux poles |
291 |
DO ij = 1, iip1 |
292 |
zqv(ij, l) = q(ij, l) |
293 |
zqv(ip1jm-iip1+ij, l) = q(ip1jm+ij, l) |
294 |
extremum(ij) = .TRUE. |
295 |
extremum(ip1jmp1-iip1+ij) = .TRUE. |
296 |
END DO |
297 |
|
298 |
! calcul des valeurs max et min acceptees aux interfaces |
299 |
DO ij = 1, ip1jm |
300 |
zqmax(ij) = max(q(ij+iip1,l), q(ij,l)) |
301 |
zqmin(ij) = min(q(ij+iip1,l), q(ij,l)) |
302 |
END DO |
303 |
|
304 |
DO ij = 1, ip1jm |
305 |
zqv(ij, l) = min(max(zqmin(ij),zqv(ij,l)), zqmax(ij)) |
306 |
END DO |
307 |
|
308 |
DO ij = iip2, ip1jm |
309 |
IF (extremum(ij)) THEN |
310 |
qs(ij, l) = q(ij, l) |
311 |
qn(ij, l) = q(ij, l) |
312 |
! if (.not.extremum(ij-iip1)) qs(ij-iip1,l)=q(ij,l) |
313 |
! if (.not.extremum(ij+iip1)) qn(ij+iip1,l)=q(ij,l) |
314 |
ELSE |
315 |
qs(ij, l) = zqv(ij, l) |
316 |
qn(ij, l) = zqv(ij-iip1, l) |
317 |
END IF |
318 |
END DO |
319 |
|
320 |
DO ij = 1, iip1 |
321 |
qs(ij, l) = q(ij, l) |
322 |
qn(ij, l) = q(ij, l) |
323 |
qs(ip1jm+ij, l) = q(ip1jm+ij, l) |
324 |
qn(ip1jm+ij, l) = q(ip1jm+ij, l) |
325 |
END DO |
326 |
|
327 |
END DO |
328 |
END IF |
329 |
RETURN |
330 |
END SUBROUTINE advnqy |
331 |
|
332 |
SUBROUTINE advnqz(q, qh, qb) |
333 |
|
334 |
! Auteurs: Calcul des valeurs de q aux point v. |
335 |
|
336 |
! -------------------------------------------------------------------- |
337 |
USE dimens_m |
338 |
USE paramet_m |
339 |
USE conf_gcm_m |
340 |
IMPLICIT NONE |
341 |
|
342 |
|
343 |
|
344 |
! Arguments: |
345 |
! ---------- |
346 |
REAL q(ip1jmp1, llm), qh(ip1jmp1, llm), qb(ip1jmp1, llm) |
347 |
|
348 |
! Local |
349 |
! --------- |
350 |
|
351 |
INTEGER ij, l |
352 |
|
353 |
REAL dzqw(ip1jmp1, llm+1), zqw(ip1jmp1, llm+1) |
354 |
REAL zqmax(ip1jmp1, llm), zqmin(ip1jmp1, llm) |
355 |
LOGICAL extremum(ip1jmp1, llm) |
356 |
|
357 |
INTEGER mode |
358 |
SAVE mode |
359 |
|
360 |
DATA mode/1/ |
361 |
|
362 |
! calcul des pentes en u: |
363 |
! ----------------------- |
364 |
|
365 |
IF (mode==0) THEN |
366 |
DO l = 1, llm |
367 |
DO ij = 1, ip1jmp1 |
368 |
qb(ij, l) = q(ij, l) |
369 |
qh(ij, l) = q(ij, l) |
370 |
END DO |
371 |
END DO |
372 |
ELSE |
373 |
DO l = 2, llm |
374 |
DO ij = 1, ip1jmp1 |
375 |
dzqw(ij, l) = q(ij, l-1) - q(ij, l) |
376 |
zqw(ij, l) = 0.5*(q(ij,l-1)+q(ij,l)) |
377 |
END DO |
378 |
END DO |
379 |
DO ij = 1, ip1jmp1 |
380 |
dzqw(ij, 1) = 0. |
381 |
dzqw(ij, llm+1) = 0. |
382 |
END DO |
383 |
DO l = 2, llm |
384 |
DO ij = 1, ip1jmp1 |
385 |
zqw(ij, l) = zqw(ij, l) + (dzqw(ij,l+1)-dzqw(ij,l-1))/12. |
386 |
END DO |
387 |
END DO |
388 |
DO l = 2, llm - 1 |
389 |
DO ij = 1, ip1jmp1 |
390 |
extremum(ij, l) = dzqw(ij, l)*dzqw(ij, l+1) <= 0. |
391 |
END DO |
392 |
END DO |
393 |
|
394 |
! Pas de pentes en bas et en haut |
395 |
DO ij = 1, ip1jmp1 |
396 |
zqw(ij, 2) = q(ij, 1) |
397 |
zqw(ij, llm) = q(ij, llm) |
398 |
extremum(ij, 1) = .TRUE. |
399 |
extremum(ij, llm) = .TRUE. |
400 |
END DO |
401 |
|
402 |
! calcul des valeurs max et min acceptees aux interfaces |
403 |
DO l = 2, llm |
404 |
DO ij = 1, ip1jmp1 |
405 |
zqmax(ij, l) = max(q(ij,l-1), q(ij,l)) |
406 |
zqmin(ij, l) = min(q(ij,l-1), q(ij,l)) |
407 |
END DO |
408 |
END DO |
409 |
|
410 |
DO l = 2, llm |
411 |
DO ij = 1, ip1jmp1 |
412 |
zqw(ij, l) = min(max(zqmin(ij,l),zqw(ij,l)), zqmax(ij,l)) |
413 |
END DO |
414 |
END DO |
415 |
|
416 |
DO l = 2, llm - 1 |
417 |
DO ij = 1, ip1jmp1 |
418 |
IF (extremum(ij,l)) THEN |
419 |
qh(ij, l) = q(ij, l) |
420 |
qb(ij, l) = q(ij, l) |
421 |
ELSE |
422 |
qh(ij, l) = zqw(ij, l+1) |
423 |
qb(ij, l) = zqw(ij, l) |
424 |
END IF |
425 |
END DO |
426 |
END DO |
427 |
! do l=2,llm-1 |
428 |
! do ij=1,ip1jmp1 |
429 |
! if(extremum(ij,l)) then |
430 |
! if (.not.extremum(ij,l-1)) qh(ij,l-1)=q(ij,l) |
431 |
! if (.not.extremum(ij,l+1)) qb(ij,l+1)=q(ij,l) |
432 |
! endif |
433 |
! enddo |
434 |
! enddo |
435 |
|
436 |
DO ij = 1, ip1jmp1 |
437 |
qb(ij, 1) = q(ij, 1) |
438 |
qh(ij, 1) = q(ij, 1) |
439 |
qb(ij, llm) = q(ij, llm) |
440 |
qh(ij, llm) = q(ij, llm) |
441 |
END DO |
442 |
|
443 |
END IF |
444 |
|
445 |
RETURN |
446 |
END SUBROUTINE advnqz |
447 |
|
448 |
SUBROUTINE advnx(q, qg, qd, masse, u_m, mode) |
449 |
|
450 |
! Auteur : F. Hourdin |
451 |
|
452 |
! ******************************************************************** |
453 |
! Shema d'advection " pseudo amont " . |
454 |
! ******************************************************************** |
455 |
! nq,iq,q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
456 |
|
457 |
|
458 |
! -------------------------------------------------------------------- |
459 |
USE dimens_m |
460 |
USE paramet_m |
461 |
USE comconst |
462 |
USE disvert_m |
463 |
USE conf_gcm_m |
464 |
IMPLICIT NONE |
465 |
|
466 |
|
467 |
|
468 |
! Arguments: |
469 |
! ---------- |
470 |
INTEGER mode |
471 |
REAL masse(ip1jmp1, llm) |
472 |
REAL u_m(ip1jmp1, llm) |
473 |
REAL q(ip1jmp1, llm), qd(ip1jmp1, llm), qg(ip1jmp1, llm) |
474 |
|
475 |
! Local |
476 |
! --------- |
477 |
|
478 |
INTEGER i, j, ij, l, indu(ip1jmp1), niju, iju, ijq |
479 |
INTEGER n0, nl(llm) |
480 |
|
481 |
REAL new_m, zu_m, zdq, zz |
482 |
REAL zsigg(ip1jmp1, llm), zsigd(ip1jmp1, llm), zsig |
483 |
REAL u_mq(ip1jmp1, llm) |
484 |
|
485 |
REAL zm, zq, zsigm, zsigp, zqm, zqp, zu |
486 |
|
487 |
LOGICAL ladvplus(ip1jmp1, llm) |
488 |
|
489 |
REAL prec |
490 |
SAVE prec |
491 |
|
492 |
DATA prec/1.E-15/ |
493 |
|
494 |
DO l = 1, llm |
495 |
DO ij = iip2, ip1jm |
496 |
zdq = qd(ij, l) - qg(ij, l) |
497 |
IF (abs(zdq)>prec) THEN |
498 |
zsigd(ij, l) = (q(ij,l)-qg(ij,l))/zdq |
499 |
zsigg(ij, l) = 1. - zsigd(ij, l) |
500 |
ELSE |
501 |
zsigd(ij, l) = 0.5 |
502 |
zsigg(ij, l) = 0.5 |
503 |
qd(ij, l) = q(ij, l) |
504 |
qg(ij, l) = q(ij, l) |
505 |
END IF |
506 |
END DO |
507 |
END DO |
508 |
|
509 |
! calcul de la pente maximum dans la maille en valeur absolue |
510 |
|
511 |
DO l = 1, llm |
512 |
DO ij = iip2, ip1jm - 1 |
513 |
IF (u_m(ij,l)>=0.) THEN |
514 |
zsigp = zsigd(ij, l) |
515 |
zsigm = zsigg(ij, l) |
516 |
zqp = qd(ij, l) |
517 |
zqm = qg(ij, l) |
518 |
zm = masse(ij, l) |
519 |
zq = q(ij, l) |
520 |
ELSE |
521 |
zsigm = zsigd(ij+1, l) |
522 |
zsigp = zsigg(ij+1, l) |
523 |
zqm = qd(ij+1, l) |
524 |
zqp = qg(ij+1, l) |
525 |
zm = masse(ij+1, l) |
526 |
zq = q(ij+1, l) |
527 |
END IF |
528 |
zu = abs(u_m(ij,l)) |
529 |
ladvplus(ij, l) = zu > zm |
530 |
zsig = zu/zm |
531 |
IF (zsig==0.) zsigp = 0.1 |
532 |
IF (mode==1) THEN |
533 |
IF (zsig<=zsigp) THEN |
534 |
u_mq(ij, l) = u_m(ij, l)*zqp |
535 |
ELSE IF (mode==1) THEN |
536 |
u_mq(ij, l) = sign(zm, u_m(ij,l))*(zsigp*zqp+(zsig-zsigp)*zqm) |
537 |
END IF |
538 |
ELSE |
539 |
IF (zsig<=zsigp) THEN |
540 |
u_mq(ij, l) = u_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
541 |
ELSE |
542 |
zz = 0.5*(zsig-zsigp)/zsigm |
543 |
u_mq(ij, l) = sign(zm, u_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)* & |
544 |
(zq+zz*(zqm-zq))) |
545 |
END IF |
546 |
END IF |
547 |
END DO |
548 |
END DO |
549 |
|
550 |
DO l = 1, llm |
551 |
DO ij = iip1 + iip1, ip1jm, iip1 |
552 |
u_mq(ij, l) = u_mq(ij-iim, l) |
553 |
ladvplus(ij, l) = ladvplus(ij-iim, l) |
554 |
END DO |
555 |
END DO |
556 |
|
557 |
! ================================================================= |
558 |
! SCHEMA SEMI-LAGRAGIEN EN X DANS LES REGIONS POLAIRES |
559 |
! ================================================================= |
560 |
! tris des regions a traiter |
561 |
n0 = 0 |
562 |
DO l = 1, llm |
563 |
nl(l) = 0 |
564 |
DO ij = iip2, ip1jm |
565 |
IF (ladvplus(ij,l)) THEN |
566 |
nl(l) = nl(l) + 1 |
567 |
u_mq(ij, l) = 0. |
568 |
END IF |
569 |
END DO |
570 |
n0 = n0 + nl(l) |
571 |
END DO |
572 |
|
573 |
IF (n0>1) THEN |
574 |
IF (prt_level>9) PRINT *, & |
575 |
'Nombre de points pour lesquels on advect plus que le', & |
576 |
'contenu de la maille : ', n0 |
577 |
|
578 |
DO l = 1, llm |
579 |
IF (nl(l)>0) THEN |
580 |
iju = 0 |
581 |
! indicage des mailles concernees par le traitement special |
582 |
DO ij = iip2, ip1jm |
583 |
IF (ladvplus(ij,l) .AND. mod(ij,iip1)/=0) THEN |
584 |
iju = iju + 1 |
585 |
indu(iju) = ij |
586 |
END IF |
587 |
END DO |
588 |
niju = iju |
589 |
|
590 |
! traitement des mailles |
591 |
DO iju = 1, niju |
592 |
ij = indu(iju) |
593 |
j = (ij-1)/iip1 + 1 |
594 |
zu_m = u_m(ij, l) |
595 |
u_mq(ij, l) = 0. |
596 |
IF (zu_m>0.) THEN |
597 |
ijq = ij |
598 |
i = ijq - (j-1)*iip1 |
599 |
! accumulation pour les mailles completements advectees |
600 |
DO WHILE (zu_m>masse(ijq,l)) |
601 |
u_mq(ij, l) = u_mq(ij, l) + q(ijq, l)*masse(ijq, l) |
602 |
zu_m = zu_m - masse(ijq, l) |
603 |
i = mod(i-2+iim, iim) + 1 |
604 |
ijq = (j-1)*iip1 + i |
605 |
END DO |
606 |
! MODIFS SPECIFIQUES DU SCHEMA |
607 |
! ajout de la maille non completement advectee |
608 |
zsig = zu_m/masse(ijq, l) |
609 |
IF (zsig<=zsigd(ijq,l)) THEN |
610 |
u_mq(ij, l) = u_mq(ij, l) + zu_m*(qd(ijq,l)-0.5*zsig/zsigd(ijq, & |
611 |
l)*(qd(ijq,l)-q(ijq,l))) |
612 |
ELSE |
613 |
! u_mq(ij,l)=u_mq(ij,l)+zu_m*q(ijq,l) |
614 |
! goto 8888 |
615 |
zz = 0.5*(zsig-zsigd(ijq,l))/zsigg(ijq, l) |
616 |
IF (.NOT. (zz>0. .AND. zz<=0.5)) THEN |
617 |
PRINT *, 'probleme2 au point ij=', ij, ' l=', l |
618 |
PRINT *, 'zz=', zz |
619 |
STOP |
620 |
END IF |
621 |
u_mq(ij, l) = u_mq(ij, l) + masse(ijq, l)*(0.5*(q(ijq, & |
622 |
l)+qd(ijq,l))*zsigd(ijq,l)+(zsig-zsigd(ijq,l))*(q(ijq, & |
623 |
l)+zz*(qg(ijq,l)-q(ijq,l)))) |
624 |
END IF |
625 |
ELSE |
626 |
ijq = ij + 1 |
627 |
i = ijq - (j-1)*iip1 |
628 |
! accumulation pour les mailles completements advectees |
629 |
DO WHILE (-zu_m>masse(ijq,l)) |
630 |
u_mq(ij, l) = u_mq(ij, l) - q(ijq, l)*masse(ijq, l) |
631 |
zu_m = zu_m + masse(ijq, l) |
632 |
i = mod(i, iim) + 1 |
633 |
ijq = (j-1)*iip1 + i |
634 |
END DO |
635 |
! ajout de la maille non completement advectee |
636 |
! 2eme MODIF SPECIFIQUE |
637 |
zsig = -zu_m/masse(ij+1, l) |
638 |
IF (zsig<=zsigg(ijq,l)) THEN |
639 |
u_mq(ij, l) = u_mq(ij, l) + zu_m*(qg(ijq,l)-0.5*zsig/zsigg(ijq, & |
640 |
l)*(qg(ijq,l)-q(ijq,l))) |
641 |
ELSE |
642 |
! u_mq(ij,l)=u_mq(ij,l)+zu_m*q(ijq,l) |
643 |
! goto 9999 |
644 |
zz = 0.5*(zsig-zsigg(ijq,l))/zsigd(ijq, l) |
645 |
IF (.NOT. (zz>0. .AND. zz<=0.5)) THEN |
646 |
PRINT *, 'probleme22 au point ij=', ij, ' l=', l |
647 |
PRINT *, 'zz=', zz |
648 |
STOP |
649 |
END IF |
650 |
u_mq(ij, l) = u_mq(ij, l) - masse(ijq, l)*(0.5*(q(ijq, & |
651 |
l)+qg(ijq,l))*zsigg(ijq,l)+(zsig-zsigg(ijq,l))*(q(ijq, & |
652 |
l)+zz*(qd(ijq,l)-q(ijq,l)))) |
653 |
END IF |
654 |
! fin de la modif |
655 |
END IF |
656 |
END DO |
657 |
END IF |
658 |
END DO |
659 |
END IF ! n0.gt.0 |
660 |
|
661 |
! bouclage en latitude |
662 |
DO l = 1, llm |
663 |
DO ij = iip1 + iip1, ip1jm, iip1 |
664 |
u_mq(ij, l) = u_mq(ij-iim, l) |
665 |
END DO |
666 |
END DO |
667 |
|
668 |
! ================================================================= |
669 |
! CALCUL DE LA CONVERGENCE DES FLUX |
670 |
! ================================================================= |
671 |
|
672 |
DO l = 1, llm |
673 |
DO ij = iip2 + 1, ip1jm |
674 |
new_m = masse(ij, l) + u_m(ij-1, l) - u_m(ij, l) |
675 |
q(ij, l) = (q(ij,l)*masse(ij,l)+u_mq(ij-1,l)-u_mq(ij,l))/new_m |
676 |
masse(ij, l) = new_m |
677 |
END DO |
678 |
! Modif Fred 22 03 96 correction d'un bug (les scopy ci-dessous) |
679 |
DO ij = iip1 + iip1, ip1jm, iip1 |
680 |
q(ij-iim, l) = q(ij, l) |
681 |
masse(ij-iim, l) = masse(ij, l) |
682 |
END DO |
683 |
END DO |
684 |
|
685 |
RETURN |
686 |
END SUBROUTINE advnx |
687 |
SUBROUTINE advny(q, qs, qn, masse, v_m) |
688 |
|
689 |
! Auteur : F. Hourdin |
690 |
|
691 |
! ******************************************************************** |
692 |
! Shema d'advection " pseudo amont " . |
693 |
! ******************************************************************** |
694 |
! nq,iq,q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
695 |
|
696 |
|
697 |
! -------------------------------------------------------------------- |
698 |
USE dimens_m |
699 |
USE paramet_m |
700 |
USE comgeom |
701 |
USE conf_gcm_m |
702 |
IMPLICIT NONE |
703 |
|
704 |
|
705 |
|
706 |
! Arguments: |
707 |
! ---------- |
708 |
REAL masse(ip1jmp1, llm) |
709 |
REAL v_m(ip1jm, llm) |
710 |
REAL q(ip1jmp1, llm), qn(ip1jmp1, llm), qs(ip1jmp1, llm) |
711 |
|
712 |
! Local |
713 |
! --------- |
714 |
|
715 |
INTEGER ij, l |
716 |
|
717 |
REAL new_m, zdq, zz |
718 |
REAL zsigs(ip1jmp1), zsign(ip1jmp1), zsig |
719 |
REAL v_mq(ip1jm, llm) |
720 |
REAL convpn, convps, convmpn, convmps, massen, masses |
721 |
REAL zm, zq, zsigm, zsigp, zqm, zqp |
722 |
REAL ssum |
723 |
REAL prec |
724 |
SAVE prec |
725 |
|
726 |
DATA prec/1.E-15/ |
727 |
|
728 |
DO l = 1, llm |
729 |
DO ij = 1, ip1jmp1 |
730 |
zdq = qn(ij, l) - qs(ij, l) |
731 |
IF (abs(zdq)>prec) THEN |
732 |
zsign(ij) = (q(ij,l)-qs(ij,l))/zdq |
733 |
zsigs(ij) = 1. - zsign(ij) |
734 |
ELSE |
735 |
zsign(ij) = 0.5 |
736 |
zsigs(ij) = 0.5 |
737 |
END IF |
738 |
END DO |
739 |
|
740 |
! calcul de la pente maximum dans la maille en valeur absolue |
741 |
|
742 |
DO ij = 1, ip1jm |
743 |
IF (v_m(ij,l)>=0.) THEN |
744 |
zsigp = zsign(ij+iip1) |
745 |
zsigm = zsigs(ij+iip1) |
746 |
zqp = qn(ij+iip1, l) |
747 |
zqm = qs(ij+iip1, l) |
748 |
zm = masse(ij+iip1, l) |
749 |
zq = q(ij+iip1, l) |
750 |
ELSE |
751 |
zsigm = zsign(ij) |
752 |
zsigp = zsigs(ij) |
753 |
zqm = qn(ij, l) |
754 |
zqp = qs(ij, l) |
755 |
zm = masse(ij, l) |
756 |
zq = q(ij, l) |
757 |
END IF |
758 |
zsig = abs(v_m(ij,l))/zm |
759 |
IF (zsig==0.) zsigp = 0.1 |
760 |
IF (zsig<=zsigp) THEN |
761 |
v_mq(ij, l) = v_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
762 |
ELSE |
763 |
zz = 0.5*(zsig-zsigp)/zsigm |
764 |
v_mq(ij, l) = sign(zm, v_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)*( & |
765 |
zq+zz*(zqm-zq))) |
766 |
END IF |
767 |
END DO |
768 |
END DO |
769 |
|
770 |
DO l = 1, llm |
771 |
DO ij = iip2, ip1jm |
772 |
new_m = masse(ij, l) + v_m(ij, l) - v_m(ij-iip1, l) |
773 |
q(ij, l) = (q(ij,l)*masse(ij,l)+v_mq(ij,l)-v_mq(ij-iip1,l))/new_m |
774 |
masse(ij, l) = new_m |
775 |
END DO |
776 |
! .-. ancienne version |
777 |
convpn = ssum(iim, v_mq(1,l), 1) |
778 |
convmpn = ssum(iim, v_m(1,l), 1) |
779 |
massen = ssum(iim, masse(1,l), 1) |
780 |
new_m = massen + convmpn |
781 |
q(1, l) = (q(1,l)*massen+convpn)/new_m |
782 |
DO ij = 1, iip1 |
783 |
q(ij, l) = q(1, l) |
784 |
masse(ij, l) = new_m*aire(ij)/apoln |
785 |
END DO |
786 |
|
787 |
convps = -ssum(iim, v_mq(ip1jm-iim,l), 1) |
788 |
convmps = -ssum(iim, v_m(ip1jm-iim,l), 1) |
789 |
masses = ssum(iim, masse(ip1jm+1,l), 1) |
790 |
new_m = masses + convmps |
791 |
q(ip1jm+1, l) = (q(ip1jm+1,l)*masses+convps)/new_m |
792 |
DO ij = ip1jm + 1, ip1jmp1 |
793 |
q(ij, l) = q(ip1jm+1, l) |
794 |
masse(ij, l) = new_m*aire(ij)/apols |
795 |
END DO |
796 |
END DO |
797 |
|
798 |
RETURN |
799 |
END SUBROUTINE advny |
800 |
SUBROUTINE advnz(q, qh, qb, masse, w_m) |
801 |
|
802 |
! Auteurs: F.Hourdin |
803 |
|
804 |
! ******************************************************************** |
805 |
! Shema d'advection " pseudo amont " . |
806 |
! b designe le bas et h le haut |
807 |
! il y a une correspondance entre le b en z et le d en x |
808 |
! ******************************************************************** |
809 |
|
810 |
|
811 |
! -------------------------------------------------------------------- |
812 |
USE dimens_m |
813 |
USE paramet_m |
814 |
USE comgeom |
815 |
USE conf_gcm_m |
816 |
IMPLICIT NONE |
817 |
|
818 |
|
819 |
|
820 |
! Arguments: |
821 |
! ---------- |
822 |
REAL masse(ip1jmp1, llm) |
823 |
REAL w_m(ip1jmp1, llm+1) |
824 |
REAL q(ip1jmp1, llm), qb(ip1jmp1, llm), qh(ip1jmp1, llm) |
825 |
|
826 |
|
827 |
! Local |
828 |
! --------- |
829 |
|
830 |
INTEGER ij, l |
831 |
|
832 |
REAL new_m, zdq, zz |
833 |
REAL zsigh(ip1jmp1, llm), zsigb(ip1jmp1, llm), zsig |
834 |
REAL w_mq(ip1jmp1, llm+1) |
835 |
REAL zm, zq, zsigm, zsigp, zqm, zqp |
836 |
REAL prec |
837 |
SAVE prec |
838 |
|
839 |
DATA prec/1.E-13/ |
840 |
|
841 |
DO l = 1, llm |
842 |
DO ij = 1, ip1jmp1 |
843 |
zdq = qb(ij, l) - qh(ij, l) |
844 |
IF (abs(zdq)>prec) THEN |
845 |
zsigb(ij, l) = (q(ij,l)-qh(ij,l))/zdq |
846 |
zsigh(ij, l) = 1. - zsigb(ij, l) |
847 |
zsigb(ij, l) = min(max(zsigb(ij,l),0.), 1.) |
848 |
ELSE |
849 |
zsigb(ij, l) = 0.5 |
850 |
zsigh(ij, l) = 0.5 |
851 |
END IF |
852 |
END DO |
853 |
END DO |
854 |
|
855 |
! calcul de la pente maximum dans la maille en valeur absolue |
856 |
DO l = 2, llm |
857 |
DO ij = 1, ip1jmp1 |
858 |
IF (w_m(ij,l)>=0.) THEN |
859 |
zsigp = zsigb(ij, l) |
860 |
zsigm = zsigh(ij, l) |
861 |
zqp = qb(ij, l) |
862 |
zqm = qh(ij, l) |
863 |
zm = masse(ij, l) |
864 |
zq = q(ij, l) |
865 |
ELSE |
866 |
zsigm = zsigb(ij, l-1) |
867 |
zsigp = zsigh(ij, l-1) |
868 |
zqm = qb(ij, l-1) |
869 |
zqp = qh(ij, l-1) |
870 |
zm = masse(ij, l-1) |
871 |
zq = q(ij, l-1) |
872 |
END IF |
873 |
zsig = abs(w_m(ij,l))/zm |
874 |
IF (zsig==0.) zsigp = 0.1 |
875 |
IF (zsig<=zsigp) THEN |
876 |
w_mq(ij, l) = w_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
877 |
ELSE |
878 |
zz = 0.5*(zsig-zsigp)/zsigm |
879 |
w_mq(ij, l) = sign(zm, w_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)*( & |
880 |
zq+zz*(zqm-zq))) |
881 |
END IF |
882 |
END DO |
883 |
END DO |
884 |
|
885 |
DO ij = 1, ip1jmp1 |
886 |
w_mq(ij, llm+1) = 0. |
887 |
w_mq(ij, 1) = 0. |
888 |
END DO |
889 |
|
890 |
DO l = 1, llm |
891 |
DO ij = 1, ip1jmp1 |
892 |
new_m = masse(ij, l) + w_m(ij, l+1) - w_m(ij, l) |
893 |
q(ij, l) = (q(ij,l)*masse(ij,l)+w_mq(ij,l+1)-w_mq(ij,l))/new_m |
894 |
masse(ij, l) = new_m |
895 |
END DO |
896 |
END DO |
897 |
|
898 |
END SUBROUTINE advnz |