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fxhyp.F @ 5061

Last change on this file since 5061 was 1674, checked in by Ehouarn Millour, 12 years ago

Modification pour activation du 2D latitude-pression
(pour pouvoir compiler en -d 1xjmxlm)
dyn3d/fxhyp.F : calcul des longitudes a la main pour iim=1
dyn3d/groupe.F : desactive si iim=1
dyn3d/paramet.h : iip1=iim+1 au lieu de iim+1-1/iim precedemment
phylmd/iophy.F90 : on enleve les -1/iim
phylmd/phyetat0.F90 : on enleve les -1/iim

Modification for activation of the 3D latitude-pressure version
(to be compiled with -d 1xjmxlm)
dyn3d/fxhyp.F : longitudes imposed for iim=1
dyn3d/groupe.F : desactived when iim=1
dyn3d/paramet.h : iip1=iim+1 instead of iim+1-1/iim previously
phylmd/iophy.F90 : -1/iim removed
phylmd/phyetat0.F90 : -1/iim removed

FH et EM

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Property svn:keywords set to Author Date Id Revision

File size: 12.2 KB

Line
1	!
2	! $Id: fxhyp.F 1674 2012-10-29 16:27:03Z abarral $
3	!
4	c
5	c
6	SUBROUTINE fxhyp ( xzoomdeg,grossism,dzooma,tau ,
7	, rlonm025,xprimm025,rlonv,xprimv,rlonu,xprimu,rlonp025,xprimp025,
8	, champmin,champmax )
9
10	c Auteur : P. Le Van
11
12	IMPLICIT NONE
13
14	c Calcule les longitudes et derivees dans la grille du GCM pour une
15	c fonction f(x) a tangente hyperbolique .
16	c
17	c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois,etc.)
18	c dzoom etant la distance totale de la zone du zoom
19	c tau la raideur de la transition de l'interieur a l'exterieur du zoom
20	c
21	c On doit avoir grossism x dzoom < pi ( radians ) , en longitude.
22	c ********************************************************************
23
24
25	INTEGER nmax, nmax2
26	PARAMETER ( nmax = 30000, nmax2 = 2*nmax )
27	c
28	LOGICAL scal180
29	PARAMETER ( scal180 = .TRUE. )
30
31	c scal180 = .TRUE. si on veut avoir le premier point scalaire pour
32	c une grille reguliere ( grossism = 1.,tau=0.,clon=0. ) a -180. degres.
33	c sinon scal180 = .FALSE.
34
35	#include "dimensions.h"
36	#include "paramet.h"
37
38	c ...... arguments d'entree .......
39	c
40	REAL xzoomdeg,dzooma,tau,grossism
41
42	c ...... arguments de sortie ......
43
44	REAL rlonm025(iip1),xprimm025(iip1),rlonv(iip1),xprimv(iip1),
45	, rlonu(iip1),xprimu(iip1),rlonp025(iip1),xprimp025(iip1)
46
47	c .... variables locales ....
48	c
49	REAL dzoom
50	REAL(KIND=8) xlon(iip1),xprimm(iip1),xuv
51	REAL(KIND=8) xtild(0:nmax2)
52	REAL(KIND=8) fhyp(0:nmax2),ffdx,beta,Xprimt(0:nmax2)
53	REAL(KIND=8) Xf(0:nmax2),xxpr(0:nmax2)
54	REAL(KIND=8) xvrai(iip1),xxprim(iip1)
55	REAL(KIND=8) pi,depi,epsilon,xzoom,fa,fb
56	REAL(KIND=8) Xf1, Xfi , a0,a1,a2,a3,xi2
57	INTEGER i,it,ik,iter,ii,idif,ii1,ii2
58	REAL(KIND=8) xi,xo1,xmoy,xlon2,fxm,Xprimin
59	REAL(KIND=8) champmin,champmax,decalx
60	INTEGER is2
61	SAVE is2
62
63	REAL(KIND=8) heavyside
64
65	pi = 2. * ASIN(1.)
66	depi = 2. * pi
67	epsilon = 1.e-3
68	xzoom = xzoomdeg * pi/180.
69	c
70	if (iim==1) then
71
72	rlonm025(1)=-pi/2.
73	rlonv(1)=0.
74	rlonu(1)=pi
75	rlonp025(1)=pi/2.
76	rlonm025(2)=rlonm025(1)+depi
77	rlonv(2)=rlonv(1)+depi
78	rlonu(2)=rlonu(1)+depi
79	rlonp025(2)=rlonp025(1)+depi
80
81	xprimm025(:)=1.
82	xprimv(:)=1.
83	xprimu(:)=1.
84	xprimp025(:)=1.
85	champmin=depi
86	champmax=depi
87	return
88
89	endif
90
91	decalx = .75
92	IF( grossism.EQ.1..AND.scal180 ) THEN
93	decalx = 1.
94	ENDIF
95
96	WRITE(6,*) 'FXHYP scal180,decalx', scal180,decalx
97	c
98	IF( dzooma.LT.1.) THEN
99	dzoom = dzooma * depi
100	ELSEIF( dzooma.LT. 25. ) THEN
101	WRITE(6,*) ' Le param. dzoomx pour fxhyp est trop petit ! L aug
102	,menter et relancer ! '
103	STOP 1
104	ELSE
105	dzoom = dzooma * pi/180.
106	ENDIF
107
108	WRITE(6,*) ' xzoom( rad.),grossism,tau,dzoom (radians)'
109	WRITE(6,24) xzoom,grossism,tau,dzoom
110
111	DO i = 0, nmax2
112	xtild(i) = - pi + REAL(i) * depi /nmax2
113	ENDDO
114
115	DO i = nmax, nmax2
116
117	fa = tau* ( dzoom/2. - xtild(i) )
118	fb = xtild(i) * ( pi - xtild(i) )
119
120	IF( 200.* fb .LT. - fa ) THEN
121	fhyp ( i) = - 1.
122	ELSEIF( 200. * fb .LT. fa ) THEN
123	fhyp ( i) = 1.
124	ELSE
125	IF( ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN
126	IF( 200.*fb + fa.LT.1.e-10 ) THEN
127	fhyp ( i ) = - 1.
128	ELSEIF( 200.*fb - fa.LT.1.e-10 ) THEN
129	fhyp ( i ) = 1.
130	ENDIF
131	ELSE
132	fhyp ( i ) = TANH ( fa/fb )
133	ENDIF
134	ENDIF
135	IF ( xtild(i).EQ. 0. ) fhyp(i) = 1.
136	IF ( xtild(i).EQ. pi ) fhyp(i) = -1.
137
138	ENDDO
139
140	cc .... Calcul de beta ....
141
142	ffdx = 0.
143
144	DO i = nmax +1,nmax2
145
146	xmoy = 0.5 * ( xtild(i-1) + xtild( i ) )
147	fa = tau* ( dzoom/2. - xmoy )
148	fb = xmoy * ( pi - xmoy )
149
150	IF( 200.* fb .LT. - fa ) THEN
151	fxm = - 1.
152	ELSEIF( 200. * fb .LT. fa ) THEN
153	fxm = 1.
154	ELSE
155	IF( ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN
156	IF( 200.*fb + fa.LT.1.e-10 ) THEN
157	fxm = - 1.
158	ELSEIF( 200.*fb - fa.LT.1.e-10 ) THEN
159	fxm = 1.
160	ENDIF
161	ELSE
162	fxm = TANH ( fa/fb )
163	ENDIF
164	ENDIF
165
166	IF ( xmoy.EQ. 0. ) fxm = 1.
167	IF ( xmoy.EQ. pi ) fxm = -1.
168
169	ffdx = ffdx + fxm * ( xtild(i) - xtild(i-1) )
170
171	ENDDO
172
173	beta = ( grossism * ffdx - pi ) / ( ffdx - pi )
174
175	IF( 2.*beta - grossism.LE. 0.) THEN
176	WRITE(6,) ' * Attention ! La valeur beta calculee dans la rou
177	,tine fxhyp est mauvaise ! '
178	WRITE(6,*)'Modifier les valeurs de grossismx ,tau ou dzoomx ',
179	, ' et relancer ! *** '
180	CALL ABORT
181	ENDIF
182	c
183	c ..... calcul de Xprimt .....
184	c
185
186	DO i = nmax, nmax2
187	Xprimt(i) = beta + ( grossism - beta ) * fhyp(i)
188	ENDDO
189	c
190	DO i = nmax+1, nmax2
191	Xprimt( nmax2 - i ) = Xprimt( i )
192	ENDDO
193	c
194
195	c ..... Calcul de Xf ........
196
197	Xf(0) = - pi
198
199	DO i = nmax +1, nmax2
200
201	xmoy = 0.5 * ( xtild(i-1) + xtild( i ) )
202	fa = tau* ( dzoom/2. - xmoy )
203	fb = xmoy * ( pi - xmoy )
204
205	IF( 200.* fb .LT. - fa ) THEN
206	fxm = - 1.
207	ELSEIF( 200. * fb .LT. fa ) THEN
208	fxm = 1.
209	ELSE
210	fxm = TANH ( fa/fb )
211	ENDIF
212
213	IF ( xmoy.EQ. 0. ) fxm = 1.
214	IF ( xmoy.EQ. pi ) fxm = -1.
215	xxpr(i) = beta + ( grossism - beta ) * fxm
216
217	ENDDO
218
219	DO i = nmax+1, nmax2
220	xxpr(nmax2-i+1) = xxpr(i)
221	ENDDO
222
223	DO i=1,nmax2
224	Xf(i) = Xf(i-1) + xxpr(i) * ( xtild(i) - xtild(i-1) )
225	ENDDO
226
227
228	c *****************************************************************
229	c
230
231	c ..... xuv = 0. si calcul aux pts scalaires ........
232	c ..... xuv = 0.5 si calcul aux pts U ........
233	c
234	WRITE(6,18)
235	c
236	DO 5000 ik = 1, 4
237
238	IF( ik.EQ.1 ) THEN
239	xuv = -0.25
240	ELSE IF ( ik.EQ.2 ) THEN
241	xuv = 0.
242	ELSE IF ( ik.EQ.3 ) THEN
243	xuv = 0.50
244	ELSE IF ( ik.EQ.4 ) THEN
245	xuv = 0.25
246	ENDIF
247
248	xo1 = 0.
249
250	ii1=1
251	ii2=iim
252	IF(ik.EQ.1.and.grossism.EQ.1.) THEN
253	ii1 = 2
254	ii2 = iim+1
255	ENDIF
256	DO 1500 i = ii1, ii2
257
258	xlon2 = - pi + (REAL(i) + xuv - decalx) * depi / REAL(iim)
259
260	Xfi = xlon2
261	c
262	DO 250 it = nmax2,0,-1
263	IF( Xfi.GE.Xf(it)) GO TO 350
264	250 CONTINUE
265
266	it = 0
267
268	350 CONTINUE
269
270	c ...... Calcul de Xf(xi) ......
271	c
272	xi = xtild(it)
273
274	IF(it.EQ.nmax2) THEN
275	it = nmax2 -1
276	Xf(it+1) = pi
277	ENDIF
278	c .....................................................................
279	c
280	c Appel de la routine qui calcule les coefficients a0,a1,a2,a3 d'un
281	c polynome de degre 3 qui passe par les points (Xf(it),xtild(it) )
282	c et (Xf(it+1),xtild(it+1) )
283
284	CALL coefpoly ( Xf(it),Xf(it+1),Xprimt(it),Xprimt(it+1),
285	, xtild(it),xtild(it+1), a0, a1, a2, a3 )
286
287	Xf1 = Xf(it)
288	Xprimin = a1 + 2.* a2 * xi + 3.a3 xi *xi
289
290	DO 500 iter = 1,300
291	xi = xi - ( Xf1 - Xfi )/ Xprimin
292
293	IF( ABS(xi-xo1).LE.epsilon) GO TO 550
294	xo1 = xi
295	xi2 = xi * xi
296	Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi
297	Xprimin = a1 + 2.* a2 * xi + 3.* a3 * xi2
298	500 CONTINUE
299	WRITE(6,) ' Pas de solution **** ',i,xlon2,iter
300	STOP 6
301	550 CONTINUE
302
303	xxprim(i) = depi/ ( REAL(iim) * Xprimin )
304	xvrai(i) = xi + xzoom
305
306	1500 CONTINUE
307
308
309
310	IF(ik.EQ.1.and.grossism.EQ.1.) THEN
311	xvrai(1) = xvrai(iip1)-depi
312	xxprim(1) = xxprim(iip1)
313	ENDIF
314
315	DO i = 1 , iim
316	xlon(i) = xvrai(i)
317	xprimm(i) = xxprim(i)
318	ENDDO
319	DO i = 1, iim -1
320	IF( xvrai(i+1). LT. xvrai(i) ) THEN
321	WRITE(6,*) ' PBS. avec rlonu(',i+1,') plus petit que rlonu(',i,
322	, ')'
323	STOP 7
324	ENDIF
325	ENDDO
326	c
327	c ... Reorganisation des longitudes pour les avoir entre - pi et pi ..
328	c ........................................................................
329
330	champmin = 1.e12
331	champmax = -1.e12
332	DO i = 1, iim
333	champmin = MIN( champmin,xvrai(i) )
334	champmax = MAX( champmax,xvrai(i) )
335	ENDDO
336
337	IF(champmin .GE.-pi-0.10.and.champmax.LE.pi+0.10 ) THEN
338	GO TO 1600
339	ELSE
340	WRITE(6,*) 'Reorganisation des longitudes pour avoir entre - pi',
341	, ' et pi '
342	c
343	IF( xzoom.LE.0.) THEN
344	IF( ik.EQ. 1 ) THEN
345	DO i = 1, iim
346	IF( xvrai(i).GE. - pi ) GO TO 80
347	ENDDO
348	WRITE(6,*) ' PBS. 1 ! Xvrai plus petit que - pi ! '
349	STOP 8
350	80 CONTINUE
351	is2 = i
352	ENDIF
353
354	IF( is2.NE. 1 ) THEN
355	DO ii = is2 , iim
356	xlon (ii-is2+1) = xvrai(ii)
357	xprimm(ii-is2+1) = xxprim(ii)
358	ENDDO
359	DO ii = 1 , is2 -1
360	xlon (ii+iim-is2+1) = xvrai(ii) + depi
361	xprimm(ii+iim-is2+1) = xxprim(ii)
362	ENDDO
363	ENDIF
364	ELSE
365	IF( ik.EQ.1 ) THEN
366	DO i = iim,1,-1
367	IF( xvrai(i).LE. pi ) GO TO 90
368	ENDDO
369	WRITE(6,*) ' PBS. 2 ! Xvrai plus grand que pi ! '
370	STOP 9
371	90 CONTINUE
372	is2 = i
373	ENDIF
374	idif = iim -is2
375	DO ii = 1, is2
376	xlon (ii+idif) = xvrai(ii)
377	xprimm(ii+idif) = xxprim(ii)
378	ENDDO
379	DO ii = 1, idif
380	xlon (ii) = xvrai (ii+is2) - depi
381	xprimm(ii) = xxprim(ii+is2)
382	ENDDO
383	ENDIF
384	ENDIF
385	c
386	c ......... Fin de la reorganisation ............................
387
388	1600 CONTINUE
389
390
391	xlon ( iip1) = xlon(1) + depi
392	xprimm( iip1 ) = xprimm (1 )
393
394	DO i = 1, iim+1
395	xvrai(i) = xlon(i)*180./pi
396	ENDDO
397
398	IF( ik.EQ.1 ) THEN
399	c WRITE(6,*) ' XLON aux pts. V-0.25 apres ( en deg. ) '
400	c WRITE(6,18)
401	c WRITE(6,68) xvrai
402	c WRITE(6,*) ' XPRIM k ',ik
403	c WRITE(6,566) xprimm
404
405	DO i = 1,iim +1
406	rlonm025(i) = xlon( i )
407	xprimm025(i) = xprimm(i)
408	ENDDO
409	ELSE IF( ik.EQ.2 ) THEN
410	c WRITE(6,18)
411	c WRITE(6,*) ' XLON aux pts. V apres ( en deg. ) '
412	c WRITE(6,68) xvrai
413	c WRITE(6,*) ' XPRIM k ',ik
414	c WRITE(6,566) xprimm
415
416	DO i = 1,iim + 1
417	rlonv(i) = xlon( i )
418	xprimv(i) = xprimm(i)
419	ENDDO
420
421	ELSE IF( ik.EQ.3) THEN
422	c WRITE(6,18)
423	c WRITE(6,*) ' XLON aux pts. U apres ( en deg. ) '
424	c WRITE(6,68) xvrai
425	c WRITE(6,*) ' XPRIM ik ',ik
426	c WRITE(6,566) xprimm
427
428	DO i = 1,iim + 1
429	rlonu(i) = xlon( i )
430	xprimu(i) = xprimm(i)
431	ENDDO
432
433	ELSE IF( ik.EQ.4 ) THEN
434	c WRITE(6,18)
435	c WRITE(6,*) ' XLON aux pts. V+0.25 apres ( en deg. ) '
436	c WRITE(6,68) xvrai
437	c WRITE(6,*) ' XPRIM ik ',ik
438	c WRITE(6,566) xprimm
439
440	DO i = 1,iim + 1
441	rlonp025(i) = xlon( i )
442	xprimp025(i) = xprimm(i)
443	ENDDO
444
445	ENDIF
446
447	5000 CONTINUE
448	c
449	WRITE(6,18)
450	c
451	c ........... fin de la boucle do 5000 ............
452
453	DO i = 1, iim
454	xlon(i) = rlonv(i+1) - rlonv(i)
455	ENDDO
456	champmin = 1.e12
457	champmax = -1.e12
458	DO i = 1, iim
459	champmin = MIN( champmin, xlon(i) )
460	champmax = MAX( champmax, xlon(i) )
461	ENDDO
462	champmin = champmin * 180./pi
463	champmax = champmax * 180./pi
464
465	18 FORMAT(/)
466	24 FORMAT(2x,'Parametres xzoom,gross,tau ,dzoom pour fxhyp ',4f8.3)
467	68 FORMAT(1x,7f9.2)
468	566 FORMAT(1x,7f9.4)
469
470	RETURN
471	END

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