1 |
module dynetat0_m |
2 |
|
3 |
use dimensions, only: iim, jjm |
4 |
|
5 |
IMPLICIT NONE |
6 |
|
7 |
private iim, jjm |
8 |
|
9 |
INTEGER, protected, save:: day_ini |
10 |
! day number at the beginning of the run, based at value 1 on |
11 |
! January 1st of annee_ref |
12 |
|
13 |
real, protected, save:: rlatu(jjm + 1) |
14 |
! latitudes of points of the "scalar" and "u" grid, in rad |
15 |
|
16 |
real, protected, save:: rlatv(jjm) |
17 |
! latitudes of points of the "v" grid, in rad, in decreasing order |
18 |
|
19 |
real, protected, save:: rlonu(iim + 1) |
20 |
! longitudes of points of the "u" grid, in rad |
21 |
|
22 |
real, protected, save:: rlonv(iim + 1) |
23 |
! longitudes of points of the "scalar" and "v" grid, in rad |
24 |
|
25 |
real, protected, save:: xprimu(iim + 1), xprimv(iim + 1) |
26 |
! 2 pi / iim * (derivative of the longitudinal zoom function)(rlon[uv]) |
27 |
|
28 |
REAL, protected, save:: xprimm025(iim + 1), xprimp025(iim + 1) |
29 |
REAL, protected, save:: rlatu1(jjm), rlatu2(jjm), yprimu1(jjm), yprimu2(jjm) |
30 |
REAL, save:: ang0, etot0, ptot0, ztot0, stot0 |
31 |
INTEGER, PARAMETER, private:: nmax = 30000 |
32 |
INTEGER, save:: itau_dyn |
33 |
|
34 |
contains |
35 |
|
36 |
SUBROUTINE dynetat0(vcov, ucov, teta, q, masse, ps, phis) |
37 |
|
38 |
! From dynetat0.F, version 1.2, 2004/06/22 11:45:30 |
39 |
! Authors: P. Le Van, L. Fairhead |
40 |
! This procedure reads the initial state of the atmosphere. |
41 |
|
42 |
! Libraries: |
43 |
use netcdf, only: NF90_NOWRITE, NF90_NOERR |
44 |
use netcdf95, only: NF95_GET_VAR, nf95_open, nf95_inq_varid, NF95_CLOSE, & |
45 |
NF95_Gw_VAR |
46 |
use nr_util, only: assert |
47 |
|
48 |
use conf_gcm_m, only: raz_date |
49 |
use dimensions, only: iim, jjm, llm, nqmx |
50 |
use dynetat0_chosen_m, only: day_ref |
51 |
use infotrac_init_m, only: tname |
52 |
|
53 |
REAL, intent(out):: vcov(: , :, :) ! (iim + 1, jjm, llm) |
54 |
REAL, intent(out):: ucov(:, :, :) ! (iim + 1, jjm + 1, llm) |
55 |
REAL, intent(out):: teta(:, :, :) ! (iim + 1, jjm + 1, llm) |
56 |
REAL, intent(out):: q(:, :, :, :) ! (iim + 1, jjm + 1, llm, nqmx) |
57 |
REAL, intent(out):: masse(:, :, :) ! (iim + 1, jjm + 1, llm) |
58 |
REAL, intent(out):: ps(:, :) ! (iim + 1, jjm + 1) in Pa |
59 |
REAL, intent(out):: phis(:, :) ! (iim + 1, jjm + 1) |
60 |
|
61 |
! Local variables: |
62 |
INTEGER iq |
63 |
REAL, allocatable:: tab_cntrl(:) ! tableau des param\`etres du run |
64 |
INTEGER ierr, ncid, varid |
65 |
|
66 |
!----------------------------------------------------------------------- |
67 |
|
68 |
print *, "Call sequence information: dynetat0" |
69 |
|
70 |
call assert((/size(ucov, 1), size(vcov, 1), size(masse, 1), size(ps, 1), & |
71 |
size(phis, 1), size(q, 1), size(teta, 1)/) == iim + 1, "dynetat0 iim") |
72 |
call assert((/size(ucov, 2), size(vcov, 2) + 1, size(masse, 2), & |
73 |
size(ps, 2), size(phis, 2), size(q, 2), size(teta, 2)/) == jjm + 1, & |
74 |
"dynetat0 jjm") |
75 |
call assert((/size(vcov, 3), size(ucov, 3), size(teta, 3), size(q, 3), & |
76 |
size(masse, 3)/) == llm, "dynetat0 llm") |
77 |
call assert(size(q, 4) == nqmx, "dynetat0 q nqmx") |
78 |
|
79 |
! Fichier \'etat initial : |
80 |
call nf95_open("start.nc", NF90_NOWRITE, ncid) |
81 |
|
82 |
call nf95_inq_varid(ncid, "controle", varid) |
83 |
call NF95_Gw_VAR(ncid, varid, tab_cntrl) |
84 |
|
85 |
etot0 = tab_cntrl(13) |
86 |
ptot0 = tab_cntrl(14) |
87 |
ztot0 = tab_cntrl(15) |
88 |
stot0 = tab_cntrl(16) |
89 |
ang0 = tab_cntrl(17) |
90 |
|
91 |
if (raz_date) then |
92 |
print *, 'Resetting the date.' |
93 |
day_ini = day_ref |
94 |
itau_dyn = 0 |
95 |
else |
96 |
itau_dyn = tab_cntrl(31) |
97 |
day_ini = tab_cntrl(30) |
98 |
end if |
99 |
|
100 |
print *, "day_ini = ", day_ini |
101 |
|
102 |
call NF95_INQ_VARID (ncid, "rlonu", varid) |
103 |
call NF95_GET_VAR(ncid, varid, rlonu) |
104 |
|
105 |
call NF95_INQ_VARID (ncid, "rlatu", varid) |
106 |
call NF95_GET_VAR(ncid, varid, rlatu) |
107 |
|
108 |
call NF95_INQ_VARID (ncid, "rlonv", varid) |
109 |
call NF95_GET_VAR(ncid, varid, rlonv) |
110 |
|
111 |
call NF95_INQ_VARID (ncid, "rlatv", varid) |
112 |
call NF95_GET_VAR(ncid, varid, rlatv) |
113 |
|
114 |
CALL nf95_inq_varid(ncid, 'xprimu', varid) |
115 |
CALL nf95_get_var(ncid, varid, xprimu) |
116 |
|
117 |
CALL nf95_inq_varid(ncid, 'xprimv', varid) |
118 |
CALL nf95_get_var(ncid, varid, xprimv) |
119 |
|
120 |
CALL nf95_inq_varid(ncid, 'xprimm025', varid) |
121 |
CALL nf95_get_var(ncid, varid, xprimm025) |
122 |
|
123 |
CALL nf95_inq_varid(ncid, 'xprimp025', varid) |
124 |
CALL nf95_get_var(ncid, varid, xprimp025) |
125 |
|
126 |
call NF95_INQ_VARID (ncid, "rlatu1", varid) |
127 |
call NF95_GET_VAR(ncid, varid, rlatu1) |
128 |
|
129 |
call NF95_INQ_VARID (ncid, "rlatu2", varid) |
130 |
call NF95_GET_VAR(ncid, varid, rlatu2) |
131 |
|
132 |
CALL nf95_inq_varid(ncid, 'yprimu1', varid) |
133 |
CALL nf95_get_var(ncid, varid, yprimu1) |
134 |
|
135 |
CALL nf95_inq_varid(ncid, 'yprimu2', varid) |
136 |
CALL nf95_get_var(ncid, varid, yprimu2) |
137 |
|
138 |
call NF95_INQ_VARID (ncid, "phis", varid) |
139 |
call NF95_GET_VAR(ncid, varid, phis) |
140 |
|
141 |
call NF95_INQ_VARID (ncid, "ucov", varid) |
142 |
call NF95_GET_VAR(ncid, varid, ucov) |
143 |
|
144 |
call NF95_INQ_VARID (ncid, "vcov", varid) |
145 |
call NF95_GET_VAR(ncid, varid, vcov) |
146 |
|
147 |
call NF95_INQ_VARID (ncid, "teta", varid) |
148 |
call NF95_GET_VAR(ncid, varid, teta) |
149 |
|
150 |
DO iq = 1, nqmx |
151 |
call NF95_INQ_VARID(ncid, tname(iq), varid, ierr) |
152 |
IF (ierr == NF90_NOERR) THEN |
153 |
call NF95_GET_VAR(ncid, varid, q(:, :, :, iq)) |
154 |
ELSE |
155 |
PRINT *, 'dynetat0: "' // tname(iq) // '" not found, ' // & |
156 |
"setting it to zero..." |
157 |
q(:, :, :, iq) = 0. |
158 |
ENDIF |
159 |
ENDDO |
160 |
|
161 |
call NF95_INQ_VARID (ncid, "masse", varid) |
162 |
call NF95_GET_VAR(ncid, varid, masse) |
163 |
|
164 |
call NF95_INQ_VARID (ncid, "ps", varid) |
165 |
call NF95_GET_VAR(ncid, varid, ps) |
166 |
! Check that there is a single value at each pole: |
167 |
call assert(ps(1, 1) == ps(2:, 1), "dynetat0 ps north pole") |
168 |
call assert(ps(1, jjm + 1) == ps(2:, jjm + 1), "dynetat0 ps south pole") |
169 |
|
170 |
call NF95_CLOSE(ncid) |
171 |
|
172 |
END SUBROUTINE dynetat0 |
173 |
|
174 |
!******************************************************************** |
175 |
|
176 |
SUBROUTINE fyhyp |
177 |
|
178 |
! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
179 |
|
180 |
! Author: P. Le Van, from analysis by R. Sadourny |
181 |
|
182 |
! Define rlatu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1. |
183 |
|
184 |
! Calcule les latitudes et dérivées dans la grille du GCM pour une |
185 |
! fonction f(y) à dérivée tangente hyperbolique. |
186 |
|
187 |
! Il vaut mieux avoir : grossismy * dzoom < pi / 2 |
188 |
|
189 |
use coefpoly_m, only: coefpoly, a0, a1, a2, a3 |
190 |
USE dimensions, only: jjm |
191 |
use dynetat0_chosen_m, only: clat, grossismy, dzoomy, tauy |
192 |
use heavyside_m, only: heavyside |
193 |
|
194 |
! Local: |
195 |
|
196 |
INTEGER, PARAMETER:: nmax2 = 2 * nmax |
197 |
REAL dzoom ! distance totale de la zone du zoom (en radians) |
198 |
DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1) |
199 |
DOUBLE PRECISION yuv |
200 |
DOUBLE PRECISION, save:: yt(0:nmax2) |
201 |
DOUBLE PRECISION fhyp(0:nmax2), beta |
202 |
DOUBLE PRECISION, save:: ytprim(0:nmax2) |
203 |
DOUBLE PRECISION fxm(0:nmax2) |
204 |
DOUBLE PRECISION, save:: yf(0:nmax2) |
205 |
DOUBLE PRECISION yypr(0:nmax2) |
206 |
DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
207 |
DOUBLE PRECISION pi, pis2, epsilon, pisjm |
208 |
DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin |
209 |
DOUBLE PRECISION yfi, yf1, ffdy |
210 |
DOUBLE PRECISION ypn |
211 |
DOUBLE PRECISION, save::deply, y00 |
212 |
|
213 |
INTEGER i, j, it, ik, iter, jlat, jjpn |
214 |
INTEGER, save:: jpn |
215 |
DOUBLE PRECISION yi2, heavyy0, heavyy0m |
216 |
DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
217 |
REAL y0min, y0max |
218 |
|
219 |
!------------------------------------------------------------------- |
220 |
|
221 |
print *, "Call sequence information: fyhyp" |
222 |
|
223 |
pi = 2.*asin(1.) |
224 |
pis2 = pi/2. |
225 |
pisjm = pi/real(jjm) |
226 |
epsilon = 1e-3 |
227 |
dzoom = dzoomy*pi |
228 |
|
229 |
DO i = 0, nmax2 |
230 |
yt(i) = -pis2 + real(i)*pi/nmax2 |
231 |
END DO |
232 |
|
233 |
heavyy0m = heavyside(-clat) |
234 |
heavyy0 = heavyside(clat) |
235 |
y0min = 2.*clat*heavyy0m - pis2 |
236 |
y0max = 2.*clat*heavyy0 + pis2 |
237 |
|
238 |
fa = 999.999 |
239 |
fb = 999.999 |
240 |
|
241 |
DO i = 0, nmax2 |
242 |
IF (yt(i)<clat) THEN |
243 |
fa(i) = tauy*(yt(i)-clat + dzoom/2.) |
244 |
fb(i) = (yt(i)-2.*clat*heavyy0m + pis2)*(clat-yt(i)) |
245 |
ELSE IF (yt(i)>clat) THEN |
246 |
fa(i) = tauy*(clat-yt(i) + dzoom/2.) |
247 |
fb(i) = (2.*clat*heavyy0-yt(i) + pis2)*(yt(i)-clat) |
248 |
END IF |
249 |
|
250 |
IF (200.*fb(i)<-fa(i)) THEN |
251 |
fhyp(i) = -1. |
252 |
ELSE IF (200.*fb(i)<fa(i)) THEN |
253 |
fhyp(i) = 1. |
254 |
ELSE |
255 |
fhyp(i) = tanh(fa(i)/fb(i)) |
256 |
END IF |
257 |
|
258 |
IF (yt(i)==clat) fhyp(i) = 1. |
259 |
IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
260 |
END DO |
261 |
|
262 |
! Calcul de beta |
263 |
|
264 |
ffdy = 0. |
265 |
|
266 |
DO i = 1, nmax2 |
267 |
ymoy = 0.5*(yt(i-1) + yt(i)) |
268 |
IF (ymoy<clat) THEN |
269 |
fa(i) = tauy*(ymoy-clat + dzoom/2.) |
270 |
fb(i) = (ymoy-2.*clat*heavyy0m + pis2)*(clat-ymoy) |
271 |
ELSE IF (ymoy>clat) THEN |
272 |
fa(i) = tauy*(clat-ymoy + dzoom/2.) |
273 |
fb(i) = (2.*clat*heavyy0-ymoy + pis2)*(ymoy-clat) |
274 |
END IF |
275 |
|
276 |
IF (200.*fb(i)<-fa(i)) THEN |
277 |
fxm(i) = -1. |
278 |
ELSE IF (200.*fb(i)<fa(i)) THEN |
279 |
fxm(i) = 1. |
280 |
ELSE |
281 |
fxm(i) = tanh(fa(i)/fb(i)) |
282 |
END IF |
283 |
IF (ymoy==clat) fxm(i) = 1. |
284 |
IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
285 |
ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
286 |
END DO |
287 |
|
288 |
beta = (grossismy*ffdy-pi)/(ffdy-pi) |
289 |
|
290 |
IF (2. * beta - grossismy <= 0.) THEN |
291 |
print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
292 |
// 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
293 |
// 'dzoomy et relancer.' |
294 |
STOP 1 |
295 |
END IF |
296 |
|
297 |
! calcul de Ytprim |
298 |
|
299 |
DO i = 0, nmax2 |
300 |
ytprim(i) = beta + (grossismy-beta)*fhyp(i) |
301 |
END DO |
302 |
|
303 |
! Calcul de Yf |
304 |
|
305 |
yf(0) = -pis2 |
306 |
DO i = 1, nmax2 |
307 |
yypr(i) = beta + (grossismy-beta)*fxm(i) |
308 |
END DO |
309 |
|
310 |
DO i = 1, nmax2 |
311 |
yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
312 |
END DO |
313 |
|
314 |
! yuv = 0. si calcul des latitudes aux pts. U |
315 |
! yuv = 0.5 si calcul des latitudes aux pts. V |
316 |
|
317 |
loop_ik: DO ik = 1, 4 |
318 |
IF (ik==1) THEN |
319 |
yuv = 0. |
320 |
jlat = jjm + 1 |
321 |
ELSE IF (ik==2) THEN |
322 |
yuv = 0.5 |
323 |
jlat = jjm |
324 |
ELSE IF (ik==3) THEN |
325 |
yuv = 0.25 |
326 |
jlat = jjm |
327 |
ELSE IF (ik==4) THEN |
328 |
yuv = 0.75 |
329 |
jlat = jjm |
330 |
END IF |
331 |
|
332 |
yo1 = 0. |
333 |
DO j = 1, jlat |
334 |
yo1 = 0. |
335 |
ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
336 |
yfi = ylon2 |
337 |
|
338 |
it = nmax2 |
339 |
DO while (it >= 1 .and. yfi < yf(it)) |
340 |
it = it - 1 |
341 |
END DO |
342 |
|
343 |
yi = yt(it) |
344 |
IF (it==nmax2) THEN |
345 |
it = nmax2 - 1 |
346 |
yf(it + 1) = pis2 |
347 |
END IF |
348 |
|
349 |
! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
350 |
! et Y'(yi) |
351 |
|
352 |
CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
353 |
yt(it), yt(it + 1)) |
354 |
|
355 |
yf1 = yf(it) |
356 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
357 |
|
358 |
iter = 1 |
359 |
DO |
360 |
yi = yi - (yf1-yfi)/yprimin |
361 |
IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
362 |
yo1 = yi |
363 |
yi2 = yi*yi |
364 |
yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
365 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
366 |
END DO |
367 |
if (abs(yi-yo1) > epsilon) then |
368 |
print *, 'Pas de solution.', j, ylon2 |
369 |
STOP 1 |
370 |
end if |
371 |
|
372 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
373 |
yprim(j) = pi/(jjm*yprimin) |
374 |
yvrai(j) = yi |
375 |
END DO |
376 |
|
377 |
DO j = 1, jlat - 1 |
378 |
IF (yvrai(j + 1)<yvrai(j)) THEN |
379 |
print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
380 |
j, ')' |
381 |
STOP 1 |
382 |
END IF |
383 |
END DO |
384 |
|
385 |
print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
386 |
|
387 |
IF (ik==1) THEN |
388 |
ypn = pis2 |
389 |
DO j = jjm + 1, 1, -1 |
390 |
IF (yvrai(j)<=ypn) exit |
391 |
END DO |
392 |
|
393 |
jpn = j |
394 |
y00 = yvrai(jpn) |
395 |
deply = pis2 - y00 |
396 |
END IF |
397 |
|
398 |
DO j = 1, jjm + 1 - jpn |
399 |
ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
400 |
yprimm(j) = yprim(jpn + j-1) |
401 |
END DO |
402 |
|
403 |
jjpn = jpn |
404 |
IF (jlat==jjm) jjpn = jpn - 1 |
405 |
|
406 |
DO j = 1, jjpn |
407 |
ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
408 |
yprimm(j + jjm + 1-jpn) = yprim(j) |
409 |
END DO |
410 |
|
411 |
! Fin de la reorganisation |
412 |
|
413 |
DO j = 1, jlat |
414 |
ylat(j) = ylatt(jlat + 1-j) |
415 |
yprim(j) = yprimm(jlat + 1-j) |
416 |
END DO |
417 |
|
418 |
DO j = 1, jlat |
419 |
yvrai(j) = ylat(j)*180./pi |
420 |
END DO |
421 |
|
422 |
IF (ik==1) THEN |
423 |
DO j = 1, jjm + 1 |
424 |
rlatu(j) = ylat(j) |
425 |
END DO |
426 |
ELSE IF (ik==2) THEN |
427 |
DO j = 1, jjm |
428 |
rlatv(j) = ylat(j) |
429 |
END DO |
430 |
ELSE IF (ik==3) THEN |
431 |
DO j = 1, jjm |
432 |
rlatu2(j) = ylat(j) |
433 |
yprimu2(j) = yprim(j) |
434 |
END DO |
435 |
ELSE IF (ik==4) THEN |
436 |
DO j = 1, jjm |
437 |
rlatu1(j) = ylat(j) |
438 |
yprimu1(j) = yprim(j) |
439 |
END DO |
440 |
END IF |
441 |
END DO loop_ik |
442 |
|
443 |
DO j = 1, jjm |
444 |
ylat(j) = rlatu(j) - rlatu(j + 1) |
445 |
END DO |
446 |
|
447 |
DO j = 1, jjm |
448 |
IF (rlatu1(j) <= rlatu2(j)) THEN |
449 |
print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j |
450 |
STOP 13 |
451 |
ENDIF |
452 |
|
453 |
IF (rlatu2(j) <= rlatu(j+1)) THEN |
454 |
print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j |
455 |
STOP 14 |
456 |
ENDIF |
457 |
|
458 |
IF (rlatu(j) <= rlatu1(j)) THEN |
459 |
print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j |
460 |
STOP 15 |
461 |
ENDIF |
462 |
|
463 |
IF (rlatv(j) <= rlatu2(j)) THEN |
464 |
print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j |
465 |
STOP 16 |
466 |
ENDIF |
467 |
|
468 |
IF (rlatv(j) >= rlatu1(j)) THEN |
469 |
print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j |
470 |
STOP 17 |
471 |
ENDIF |
472 |
|
473 |
IF (rlatv(j) >= rlatu(j)) THEN |
474 |
print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j |
475 |
STOP 18 |
476 |
ENDIF |
477 |
ENDDO |
478 |
|
479 |
print *, 'Latitudes' |
480 |
print 3, minval(ylat(:jjm)) *180d0/pi, maxval(ylat(:jjm))*180d0/pi |
481 |
|
482 |
3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
483 |
' d environ ', f0.2, ' degres ', /, & |
484 |
' alors que la maille en dehors de la zone du zoom est ', & |
485 |
"d'environ ", f0.2, ' degres ') |
486 |
|
487 |
rlatu(1) = pi / 2. |
488 |
rlatu(jjm + 1) = -rlatu(1) |
489 |
|
490 |
END SUBROUTINE fyhyp |
491 |
|
492 |
!******************************************************************** |
493 |
|
494 |
SUBROUTINE fxhyp |
495 |
|
496 |
! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
497 |
! Author: P. Le Van, from formulas by R. Sadourny |
498 |
|
499 |
! Compute xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025. |
500 |
|
501 |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
502 |
! une fonction $x_f(\tilde x)$ à dérivée tangente hyperbolique. |
503 |
|
504 |
! Il vaut mieux avoir : grossismx $\times$ delta < pi |
505 |
|
506 |
! Le premier point scalaire pour une grille regulière (grossismx = |
507 |
! 1) avec clon = 0 est à - 180 degrés. |
508 |
|
509 |
use nr_util, only: pi, pi_d, twopi, twopi_d, arth, assert, rad_to_deg |
510 |
|
511 |
USE dimensions, ONLY: iim |
512 |
use dynetat0_chosen_m, only: clon, grossismx, dzoomx, taux |
513 |
use invert_zoom_x_m, only: invert_zoom_x |
514 |
use principal_cshift_m, only: principal_cshift |
515 |
use tanh_cautious_m, only: tanh_cautious |
516 |
|
517 |
! Local: |
518 |
real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim) |
519 |
REAL delta, h |
520 |
DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx |
521 |
DOUBLE PRECISION beta |
522 |
INTEGER i, is2 |
523 |
DOUBLE PRECISION xmoy(nmax), fxm(nmax) |
524 |
|
525 |
!---------------------------------------------------------------------- |
526 |
|
527 |
print *, "Call sequence information: fxhyp" |
528 |
|
529 |
if (grossismx == 1.) then |
530 |
h = twopi / iim |
531 |
|
532 |
xprimm025(:iim) = h |
533 |
xprimp025(:iim) = h |
534 |
xprimv(:iim) = h |
535 |
xprimu(:iim) = h |
536 |
|
537 |
rlonv(:iim) = arth(- pi + clon, h, iim) |
538 |
rlonm025(:iim) = rlonv(:iim) - 0.25 * h |
539 |
rlonp025(:iim) = rlonv(:iim) + 0.25 * h |
540 |
rlonu(:iim) = rlonv(:iim) + 0.5 * h |
541 |
else |
542 |
delta = dzoomx * twopi_d |
543 |
xtild = arth(0d0, pi_d / nmax, nmax + 1) |
544 |
forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i)) |
545 |
|
546 |
! Compute fhyp: |
547 |
fhyp(1:nmax - 1) = tanh_cautious(taux * (delta / 2d0 & |
548 |
- xtild(1:nmax - 1)), xtild(1:nmax - 1) & |
549 |
* (pi_d - xtild(1:nmax - 1))) |
550 |
fhyp(0) = 1d0 |
551 |
fhyp(nmax) = -1d0 |
552 |
|
553 |
fxm = tanh_cautious(taux * (delta / 2d0 - xmoy), xmoy * (pi_d - xmoy)) |
554 |
|
555 |
! Compute \int_0 ^{\tilde x} F: |
556 |
|
557 |
ffdx(0) = 0d0 |
558 |
|
559 |
DO i = 1, nmax |
560 |
ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1)) |
561 |
END DO |
562 |
|
563 |
print *, "ffdx(nmax) = ", ffdx(nmax) |
564 |
beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax)) |
565 |
print *, "beta = ", beta |
566 |
|
567 |
IF (2d0 * beta - grossismx <= 0d0) THEN |
568 |
print *, 'Bad choice of grossismx, taux, dzoomx.' |
569 |
print *, 'Decrease dzoomx or grossismx.' |
570 |
STOP 1 |
571 |
END IF |
572 |
|
573 |
G = beta + (grossismx - beta) * fhyp |
574 |
|
575 |
Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) & |
576 |
* ffdx(:nmax - 1) |
577 |
Xf(nmax) = pi_d |
578 |
|
579 |
call invert_zoom_x(beta, xf, xtild, G, rlonm025(:iim), xprimm025(:iim), & |
580 |
xuv = - 0.25d0) |
581 |
call invert_zoom_x(beta, xf, xtild, G, rlonv(:iim), xprimv(:iim), & |
582 |
xuv = 0d0) |
583 |
call invert_zoom_x(beta, xf, xtild, G, rlonu(:iim), xprimu(:iim), & |
584 |
xuv = 0.5d0) |
585 |
call invert_zoom_x(beta, xf, xtild, G, rlonp025(:iim), xprimp025(:iim), & |
586 |
xuv = 0.25d0) |
587 |
end if |
588 |
|
589 |
is2 = 0 |
590 |
|
591 |
IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
592 |
.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
593 |
IF (clon <= 0.) THEN |
594 |
is2 = 1 |
595 |
|
596 |
do while (rlonm025(is2) < - pi .and. is2 < iim) |
597 |
is2 = is2 + 1 |
598 |
end do |
599 |
|
600 |
call assert(rlonm025(is2) >= - pi, & |
601 |
"fxhyp -- rlonm025 should be >= - pi") |
602 |
ELSE |
603 |
is2 = iim |
604 |
|
605 |
do while (rlonm025(is2) > pi .and. is2 > 1) |
606 |
is2 = is2 - 1 |
607 |
end do |
608 |
|
609 |
if (rlonm025(is2) > pi) then |
610 |
print *, 'Rlonm025 plus grand que pi !' |
611 |
STOP 1 |
612 |
end if |
613 |
END IF |
614 |
END IF |
615 |
|
616 |
call principal_cshift(is2, rlonm025, xprimm025) |
617 |
call principal_cshift(is2, rlonv, xprimv) |
618 |
call principal_cshift(is2, rlonu, xprimu) |
619 |
call principal_cshift(is2, rlonp025, xprimp025) |
620 |
|
621 |
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
622 |
print *, "Minimum longitude step:", MINval(d_rlonv) * rad_to_deg, "degrees" |
623 |
print *, "Maximum longitude step:", MAXval(d_rlonv) * rad_to_deg, "degrees" |
624 |
|
625 |
! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
626 |
DO i = 1, iim + 1 |
627 |
IF (rlonp025(i) < rlonv(i)) THEN |
628 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
629 |
print *, "< rlonv(", i, ") = ", rlonv(i) |
630 |
STOP 1 |
631 |
END IF |
632 |
|
633 |
IF (rlonv(i) < rlonm025(i)) THEN |
634 |
print *, 'rlonv(', i, ') = ', rlonv(i) |
635 |
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
636 |
STOP 1 |
637 |
END IF |
638 |
|
639 |
IF (rlonp025(i) > rlonu(i)) THEN |
640 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
641 |
print *, "> rlonu(", i, ") = ", rlonu(i) |
642 |
STOP 1 |
643 |
END IF |
644 |
END DO |
645 |
|
646 |
END SUBROUTINE fxhyp |
647 |
|
648 |
end module dynetat0_m |