Directory: | ./ |
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File: | dyn3d_common/fyhyp_m.f90 |
Date: | 2022-01-11 19:19:34 |
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Lines: | 130 | 149 | 87.2% |
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1 | module fyhyp_m | ||
2 | |||
3 | IMPLICIT NONE | ||
4 | |||
5 | contains | ||
6 | |||
7 | 1 | SUBROUTINE fyhyp(rlatu, yyprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) | |
8 | |||
9 | ! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 | ||
10 | |||
11 | ! Author: P. Le Van, from analysis by R. Sadourny | ||
12 | |||
13 | ! Calcule les latitudes et dérivées dans la grille du GCM pour une | ||
14 | ! fonction f(y) à dérivée tangente hyperbolique. | ||
15 | |||
16 | ! Il vaut mieux avoir : grossismy * dzoom < pi / 2 | ||
17 | |||
18 | use coefpoly_m, only: coefpoly | ||
19 | use nrtype, only: k8 | ||
20 | use serre_mod, only: clat, grossismy, dzoomy, tauy | ||
21 | |||
22 | include "dimensions.h" | ||
23 | ! for jjm | ||
24 | |||
25 | REAL, intent(out):: rlatu(jjm + 1), yyprimu(jjm + 1) | ||
26 | REAL, intent(out):: rlatv(jjm) | ||
27 | real, intent(out):: rlatu2(jjm), yprimu2(jjm), rlatu1(jjm), yprimu1(jjm) | ||
28 | |||
29 | ! Local: | ||
30 | |||
31 | REAL(K8) champmin, champmax | ||
32 | INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax | ||
33 | REAL dzoom ! distance totale de la zone du zoom (en radians) | ||
34 | REAL(K8) ylat(jjm + 1), yprim(jjm + 1) | ||
35 | REAL(K8) yuv | ||
36 | REAL(K8), save:: yt(0:nmax2) | ||
37 | REAL(K8) fhyp(0:nmax2), beta | ||
38 | REAL(K8), save:: ytprim(0:nmax2) | ||
39 | REAL(K8) fxm(0:nmax2) | ||
40 | REAL(K8), save:: yf(0:nmax2) | ||
41 | REAL(K8) yypr(0:nmax2) | ||
42 | REAL(K8) yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) | ||
43 | REAL(K8) pi, pis2, epsilon, y0, pisjm | ||
44 | REAL(K8) yo1, yi, ylon2, ymoy, yprimin | ||
45 | REAL(K8) yfi, yf1, ffdy | ||
46 | REAL(K8) ypn, deply, y00 | ||
47 | SAVE y00, deply | ||
48 | |||
49 | INTEGER i, j, it, ik, iter, jlat | ||
50 | INTEGER jpn, jjpn | ||
51 | SAVE jpn | ||
52 | REAL(K8) a0, a1, a2, a3, yi2, heavyy0, heavyy0m | ||
53 | REAL(K8) fa(0:nmax2), fb(0:nmax2) | ||
54 | REAL y0min, y0max | ||
55 | |||
56 | REAL(K8) heavyside | ||
57 | |||
58 | !------------------------------------------------------------------- | ||
59 | |||
60 | 1 | print *, "Call sequence information: fyhyp" | |
61 | |||
62 | pi = 2.*asin(1.) | ||
63 | pis2 = pi/2. | ||
64 | pisjm = pi/real(jjm) | ||
65 | epsilon = 1e-3 | ||
66 | 1 | y0 = clat*pi/180. | |
67 | 1 | dzoom = dzoomy*pi | |
68 | 1 | print *, 'yzoom(rad), grossismy, tauy, dzoom (rad):' | |
69 | 1 | print *, y0, grossismy, tauy, dzoom | |
70 | |||
71 |
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60002 | DO i = 0, nmax2 |
72 | 60002 | yt(i) = -pis2 + real(i)*pi/nmax2 | |
73 | END DO | ||
74 | |||
75 | 1 | heavyy0m = heavyside(-y0) | |
76 | 1 | heavyy0 = heavyside(y0) | |
77 | 1 | y0min = 2.*y0*heavyy0m - pis2 | |
78 | 1 | y0max = 2.*y0*heavyy0 + pis2 | |
79 | |||
80 |
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60002 | fa = 999.999 |
81 |
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60002 | fb = 999.999 |
82 | |||
83 |
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60002 | DO i = 0, nmax2 |
84 |
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60001 | IF (yt(i)<y0) THEN |
85 | 30000 | fa(i) = tauy*(yt(i)-y0 + dzoom/2.) | |
86 | 30000 | fb(i) = (yt(i)-2.*y0*heavyy0m + pis2)*(y0-yt(i)) | |
87 |
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30001 | ELSE IF (yt(i)>y0) THEN |
88 | 30000 | fa(i) = tauy*(y0-yt(i) + dzoom/2.) | |
89 | 30000 | fb(i) = (2.*y0*heavyy0-yt(i) + pis2)*(yt(i)-y0) | |
90 | END IF | ||
91 | |||
92 |
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60001 | IF (200.*fb(i)<-fa(i)) THEN |
93 | 488 | fhyp(i) = -1. | |
94 |
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59513 | ELSE IF (200.*fb(i)<fa(i)) THEN |
95 | 84 | fhyp(i) = 1. | |
96 | ELSE | ||
97 | 59429 | fhyp(i) = tanh(fa(i)/fb(i)) | |
98 | END IF | ||
99 | |||
100 |
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60001 | IF (yt(i)==y0) fhyp(i) = 1. |
101 |
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60002 | IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
102 | END DO | ||
103 | |||
104 | ! Calcul de beta | ||
105 | |||
106 | ffdy = 0. | ||
107 | |||
108 |
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60001 | DO i = 1, nmax2 |
109 | 60000 | ymoy = 0.5*(yt(i-1) + yt(i)) | |
110 |
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60000 | IF (ymoy<y0) THEN |
111 | 30000 | fa(i) = tauy*(ymoy-y0 + dzoom/2.) | |
112 | 30000 | fb(i) = (ymoy-2.*y0*heavyy0m + pis2)*(y0-ymoy) | |
113 |
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30000 | ELSE IF (ymoy>y0) THEN |
114 | 30000 | fa(i) = tauy*(y0-ymoy + dzoom/2.) | |
115 | 30000 | fb(i) = (2.*y0*heavyy0-ymoy + pis2)*(ymoy-y0) | |
116 | END IF | ||
117 | |||
118 |
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60000 | IF (200.*fb(i)<-fa(i)) THEN |
119 | 486 | fxm(i) = -1. | |
120 |
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59514 | ELSE IF (200.*fb(i)<fa(i)) THEN |
121 | 86 | fxm(i) = 1. | |
122 | ELSE | ||
123 | 59428 | fxm(i) = tanh(fa(i)/fb(i)) | |
124 | END IF | ||
125 |
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60000 | IF (ymoy==y0) fxm(i) = 1. |
126 |
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60000 | IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
127 | 60001 | ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) | |
128 | END DO | ||
129 | |||
130 | 1 | beta = (grossismy*ffdy-pi)/(ffdy-pi) | |
131 | |||
132 |
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1 | IF (2. * beta - grossismy <= 0.) THEN |
133 | print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & | ||
134 | // 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & | ||
135 | // 'dzoomy et relancer.' | ||
136 | ✗ | STOP 1 | |
137 | END IF | ||
138 | |||
139 | ! calcul de Ytprim | ||
140 | |||
141 |
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60002 | DO i = 0, nmax2 |
142 | 60002 | ytprim(i) = beta + (grossismy-beta)*fhyp(i) | |
143 | END DO | ||
144 | |||
145 | ! Calcul de Yf | ||
146 | |||
147 | 1 | yf(0) = -pis2 | |
148 |
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60001 | DO i = 1, nmax2 |
149 | 60001 | yypr(i) = beta + (grossismy-beta)*fxm(i) | |
150 | END DO | ||
151 | |||
152 |
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60001 | DO i = 1, nmax2 |
153 | 60001 | yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) | |
154 | END DO | ||
155 | |||
156 | ! yuv = 0. si calcul des latitudes aux pts. U | ||
157 | ! yuv = 0.5 si calcul des latitudes aux pts. V | ||
158 | |||
159 |
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5 | loop_ik: DO ik = 1, 4 |
160 |
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4 | IF (ik==1) THEN |
161 | yuv = 0. | ||
162 | jlat = jjm + 1 | ||
163 |
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3 | ELSE IF (ik==2) THEN |
164 | yuv = 0.5 | ||
165 | jlat = jjm | ||
166 |
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2 | ELSE IF (ik==3) THEN |
167 | yuv = 0.25 | ||
168 | jlat = jjm | ||
169 | ELSE IF (ik==4) THEN | ||
170 | yuv = 0.75 | ||
171 | jlat = jjm | ||
172 | END IF | ||
173 | |||
174 | yo1 = 0. | ||
175 |
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133 | DO j = 1, jlat |
176 | yo1 = 0. | ||
177 | 129 | ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) | |
178 | yfi = ylon2 | ||
179 | |||
180 | it = nmax2 | ||
181 |
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3870179 | DO while (it >= 1 .and. yfi < yf(it)) |
182 | 3870178 | it = it - 1 | |
183 | END DO | ||
184 | |||
185 | 129 | yi = yt(it) | |
186 |
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129 | IF (it==nmax2) THEN |
187 | it = nmax2 - 1 | ||
188 | 1 | yf(it + 1) = pis2 | |
189 | END IF | ||
190 | |||
191 | ! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) | ||
192 | ! et Y'(yi) | ||
193 | |||
194 | CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & | ||
195 | 129 | yt(it), yt(it + 1), a0, a1, a2, a3) | |
196 | |||
197 | 129 | yf1 = yf(it) | |
198 | 129 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi | |
199 | |||
200 | iter = 1 | ||
201 | 128 | DO | |
202 | 257 | yi = yi - (yf1-yfi)/yprimin | |
203 |
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257 | IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
204 | yo1 = yi | ||
205 | 128 | yi2 = yi*yi | |
206 | 128 | yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi | |
207 | 128 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 | |
208 | END DO | ||
209 |
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129 | if (abs(yi-yo1) > epsilon) then |
210 | ✗ | print *, 'Pas de solution.', j, ylon2 | |
211 | ✗ | STOP 1 | |
212 | end if | ||
213 | |||
214 | 129 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi | |
215 | 129 | yprim(j) = pi/(jjm*yprimin) | |
216 | 262 | yvrai(j) = yi | |
217 | END DO | ||
218 | |||
219 |
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129 | DO j = 1, jlat - 1 |
220 |
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129 | IF (yvrai(j + 1)<yvrai(j)) THEN |
221 | ✗ | print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & | |
222 | ✗ | j, ')' | |
223 | ✗ | STOP 1 | |
224 | END IF | ||
225 | END DO | ||
226 | |||
227 | 4 | print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' | |
228 | |||
229 |
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4 | IF (ik==1) THEN |
230 | ypn = pis2 | ||
231 |
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1 | DO j = jjm + 1, 1, -1 |
232 |
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1 | IF (yvrai(j)<=ypn) exit |
233 | END DO | ||
234 | |||
235 | 1 | jpn = j | |
236 | 1 | y00 = yvrai(jpn) | |
237 | 1 | deply = pis2 - y00 | |
238 | END IF | ||
239 | |||
240 |
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4 | DO j = 1, jjm + 1 - jpn |
241 | ✗ | ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) | |
242 | 4 | yprimm(j) = yprim(jpn + j-1) | |
243 | END DO | ||
244 | |||
245 | jjpn = jpn | ||
246 |
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4 | IF (jlat==jjm) jjpn = jpn - 1 |
247 | |||
248 |
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133 | DO j = 1, jjpn |
249 | 129 | ylatt(j + jjm + 1-jpn) = yvrai(j) + deply | |
250 | 133 | yprimm(j + jjm + 1-jpn) = yprim(j) | |
251 | END DO | ||
252 | |||
253 | ! Fin de la reorganisation | ||
254 | |||
255 |
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133 | DO j = 1, jlat |
256 | 129 | ylat(j) = ylatt(jlat + 1-j) | |
257 | 133 | yprim(j) = yprimm(jlat + 1-j) | |
258 | END DO | ||
259 | |||
260 |
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133 | DO j = 1, jlat |
261 | 133 | yvrai(j) = ylat(j)*180./pi | |
262 | END DO | ||
263 | |||
264 |
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5 | IF (ik==1) THEN |
265 |
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34 | DO j = 1, jjm + 1 |
266 | 33 | rlatu(j) = ylat(j) | |
267 | 34 | yyprimu(j) = yprim(j) | |
268 | END DO | ||
269 |
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3 | ELSE IF (ik==2) THEN |
270 |
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33 | DO j = 1, jjm |
271 | 33 | rlatv(j) = ylat(j) | |
272 | END DO | ||
273 |
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2 | ELSE IF (ik==3) THEN |
274 |
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33 | DO j = 1, jjm |
275 | 32 | rlatu2(j) = ylat(j) | |
276 | 33 | yprimu2(j) = yprim(j) | |
277 | END DO | ||
278 | ELSE IF (ik==4) THEN | ||
279 |
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33 | DO j = 1, jjm |
280 | 32 | rlatu1(j) = ylat(j) | |
281 | 33 | yprimu1(j) = yprim(j) | |
282 | END DO | ||
283 | END IF | ||
284 | END DO loop_ik | ||
285 | |||
286 |
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33 | DO j = 1, jjm |
287 | 33 | ylat(j) = rlatu(j) - rlatu(j + 1) | |
288 | END DO | ||
289 | 1 | champmin = 1e12 | |
290 | 1 | champmax = -1e12 | |
291 |
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33 | DO j = 1, jjm |
292 | 32 | champmin = min(champmin, ylat(j)) | |
293 | 33 | champmax = max(champmax, ylat(j)) | |
294 | END DO | ||
295 | 1 | champmin = champmin*180./pi | |
296 | 1 | champmax = champmax*180./pi | |
297 | |||
298 |
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33 | DO j = 1, jjm |
299 |
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32 | IF (rlatu1(j) <= rlatu2(j)) THEN |
300 | ✗ | print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j | |
301 | ✗ | STOP 13 | |
302 | ENDIF | ||
303 | |||
304 |
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32 | IF (rlatu2(j) <= rlatu(j+1)) THEN |
305 | ✗ | print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j | |
306 | ✗ | STOP 14 | |
307 | ENDIF | ||
308 | |||
309 |
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32 | IF (rlatu(j) <= rlatu1(j)) THEN |
310 | ✗ | print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j | |
311 | ✗ | STOP 15 | |
312 | ENDIF | ||
313 | |||
314 |
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32 | IF (rlatv(j) <= rlatu2(j)) THEN |
315 | ✗ | print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j | |
316 | ✗ | STOP 16 | |
317 | ENDIF | ||
318 | |||
319 |
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32 | IF (rlatv(j) >= rlatu1(j)) THEN |
320 | ✗ | print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j | |
321 | ✗ | STOP 17 | |
322 | ENDIF | ||
323 | |||
324 |
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33 | IF (rlatv(j) >= rlatu(j)) THEN |
325 | ✗ | print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j | |
326 | ✗ | STOP 18 | |
327 | ENDIF | ||
328 | ENDDO | ||
329 | |||
330 | 1 | print *, 'Latitudes' | |
331 | 1 | print 3, champmin, champmax | |
332 | |||
333 | 3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & | ||
334 | ' d environ ', f0.2, ' degres ', /, & | ||
335 | ' alors que la maille en dehors de la zone du zoom est ', & | ||
336 | "d'environ ", f0.2, ' degres ') | ||
337 | |||
338 | 1 | END SUBROUTINE fyhyp | |
339 | |||
340 | end module fyhyp_m | ||
341 |