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inigeom.f90 @ 5115

Last change on this file since 5115 was 5105, checked in by abarral, 4 months ago
Replace 1DUTILS.h by module lmdz_1dutils.f90 Replace 1DConv.h by module lmdz_old_1dconv.f90 (it's only used by old_* files) Convert .F to .f90 Fix gradsdef.h formatting Remove unnecessary "RETURN" at the end of functions/subroutines
Property copyright set to Name of program: LMDZ Creation date: 1984 Version: LMDZ5 License: CeCILL version 2 Holder: Laboratoire de m\'et\'eorologie dynamique, CNRS, UMR 8539 See the license file in the root directory Property svn:eol-style set to `native` Property svn:keywords set to `Author Date Id Revision`
File size: 20.6 KB

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1
2	! $Id: inigeom.f90 5105 2024-07-23 17:14:34Z abarral $
3
4	!
5	!
6	SUBROUTINE inigeom
7	!
8	! Auteur : P. Le Van
9	!
10	! ............ Version du 01/04/2001 ........................
11	!
12	! Calcul des elongations cuij1,.cuij4 , cvij1,..cvij4 aux memes en-
13	! endroits que les aires aireij1,..aireij4 .
14
15	! Choix entre f(y) a derivee sinusoid. ou a derivee tangente hyperbol.
16	!
17	!
18	use fxhyp_m, only: fxhyp
19	use fyhyp_m, only: fyhyp
20	USE comconst_mod, ONLY: pi, g, omeg, rad
21	USE logic_mod, ONLY: fxyhypb, ysinus
22	USE serre_mod, ONLY: clon,clat,grossismx,grossismy,dzoomx,dzoomy, &
23	alphax,alphay,taux,tauy,transx,transy,pxo,pyo
24	IMPLICIT NONE
25	!
26	include "dimensions.h"
27	include "paramet.h"
28	include "comgeom2.h"
29	include "comdissnew.h"
30
31	!-----------------------------------------------------------------------
32	! .... Variables locales ....
33	!
34	INTEGER :: i,j,itmax,itmay,iter
35	REAL :: cvu(iip1,jjp1),cuv(iip1,jjm)
36	REAL :: ai14,ai23,airez,rlatp,rlatm,xprm,xprp,un4rad2,yprp,yprm
37	REAL :: eps,x1,xo1,f,df,xdm,y1,yo1,ydm
38	REAL :: coslatm,coslatp,radclatm,radclatp
39	REAL :: cuij1(iip1,jjp1),cuij2(iip1,jjp1),cuij3(iip1,jjp1), &
40	cuij4(iip1,jjp1)
41	REAL :: cvij1(iip1,jjp1),cvij2(iip1,jjp1),cvij3(iip1,jjp1), &
42	cvij4(iip1,jjp1)
43	REAL :: rlonvv(iip1),rlatuu(jjp1)
44	REAL :: rlatu1(jjm),yprimu1(jjm),rlatu2(jjm),yprimu2(jjm) , &
45	yprimv(jjm),yprimu(jjp1)
46	REAL :: gamdi_gdiv, gamdi_grot, gamdi_h
47
48	REAL :: rlonm025(iip1),xprimm025(iip1), rlonp025(iip1), &
49	xprimp025(iip1)
50	SAVE rlatu1,yprimu1,rlatu2,yprimu2,yprimv,yprimu
51	SAVE rlonm025,xprimm025,rlonp025,xprimp025
52
53	REAL :: SSUM
54	!
55	!
56	! ------------------------------------------------------------------
57	! - -
58	! - calcul des coeff. ( cu, cv , 1./cu2, 1./cv2 ) -
59	! - -
60	! ------------------------------------------------------------------
61	!
62	! les coef. ( cu, cv ) permettent de passer des vitesses naturelles
63	! aux vitesses covariantes et contravariantes , ou vice-versa ...
64	!
65	!
66	! on a : u (covariant) = cu * u (naturel) , u(contrav)= u(nat)/cu
67	! v (covariant) = cv * v (naturel) , v(contrav)= v(nat)/cv
68	!
69	! on en tire : u(covariant) = cu * cu * u(contravariant)
70	! v(covariant) = cv * cv * v(contravariant)
71	!
72	!
73	! on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2
74	! = =
75	! et - jm/2 < Y < jm/2
76	! = =
77	!
78	! ...................................................
79	! ...................................................
80	! . x est la longitude du point en radians .
81	! . y est la latitude du point en radians .
82	! . .
83	! . on a : cu(i,j) = rad * COS(y) * dx/dX .
84	! . cv( j ) = rad * dy/dY .
85	! . aire(i,j) = cu(i,j) * cv(j) .
86	! . .
87	! . y, dx/dX, dy/dY calcules aux points concernes .
88	! . .
89	! ...................................................
90	! ...................................................
91	!
92	!
93	!
94	! ,
95	! cv , bien que dependant de j uniquement,sera ici indice aussi en i
96	! pour un adressage plus facile en ij .
97	!
98	!
99	!
100	! ************ aux points u et v , ***************
101	! xprimu et xprimv sont respectivement les valeurs de dx/dX
102	! yprimu et yprimv . . . . . . . . . . . dy/dY
103	! rlatu et rlatv . . . . . . . . . . .la latitude
104	! cvu et cv . . . . . . . . . . . cv
105	!
106	! ************ aux points u, v, scalaires, et z **************
107	! cu, cuv, cuscal, cuz sont respectiv. les valeurs de cu
108	!
109	!
110	!
111	! Exemple de distribution de variables sur la grille dans le
112	! domaine de travail ( X,Y ) .
113	! ................................................................
114	! DX=DY= 1
115	!
116	!
117	! + represente un point scalaire ( p.exp la pression )
118	! > represente la composante zonale du vent
119	! V represente la composante meridienne du vent
120	! o represente la vorticite
121	!
122	! ---- , car aux poles , les comp.zonales covariantes sont nulles
123	!
124	!
125	!
126	! i ->
127	!
128	! 1 2 3 4 5 6 7 8
129	! j
130	! v 1 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + --
131	!
132	! V o V o V o V o V o V o V o V o
133	!
134	! 2 + > + > + > + > + > + > + > + >
135	!
136	! V o V o V o V o V o V o V o V o
137	!
138	! 3 + > + > + > + > + > + > + > + >
139	!
140	! V o V o V o V o V o V o V o V o
141	!
142	! 4 + > + > + > + > + > + > + > + >
143	!
144	! V o V o V o V o V o V o V o V o
145	!
146	! 5 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + --
147	!
148	!
149	! Ci-dessus, on voit que le nombre de pts.en longitude est egal
150	! a IM = 8
151	! De meme , le nombre d'intervalles entre les 2 poles est egal
152	! a JM = 4
153	!
154	! Les points scalaires ( + ) correspondent donc a des valeurs
155	! entieres de i ( 1 a IM ) et de j ( 1 a JM +1 ) .
156	!
157	! Les vents U ( > ) correspondent a des valeurs semi-
158	! entieres de i ( 1+ 0.5 a IM+ 0.5) et entieres de j ( 1 a JM+1)
159	!
160	! Les vents V ( V ) correspondent a des valeurs entieres
161	! de i ( 1 a IM ) et semi-entieres de j ( 1 +0.5 a JM +0.5)
162	!
163	!
164	!
165	WRITE(6,3)
166	3 FORMAT( // 10x,' .... INIGEOM date du 01/06/98 ..... ', &
167	//5x,' Calcul des elongations cu et cv comme sommes des 4 ' / &
168	5 x,' elong. cuij1, .. 4 , cvij1,.. 4 qui les entourent , aux&
169	& '/ 5x,' memes endroits que les aires aireij1,...j4 . ' / )
170	!
171	!
172	IF( nitergdiv/=2 ) THEN
173	gamdi_gdiv = coefdis/ ( REAL(nitergdiv) -2. )
174	ELSE
175	gamdi_gdiv = 0.
176	ENDIF
177	IF( nitergrot/=2 ) THEN
178	gamdi_grot = coefdis/ ( REAL(nitergrot) -2. )
179	ELSE
180	gamdi_grot = 0.
181	ENDIF
182	IF( niterh/=2 ) THEN
183	gamdi_h = coefdis/ ( REAL(niterh) -2. )
184	ELSE
185	gamdi_h = 0.
186	ENDIF
187
188	WRITE(6,*) ' gamdi_gd ',gamdi_gdiv,gamdi_grot,gamdi_h,coefdis, &
189	nitergdiv,nitergrot,niterh
190	!
191	pi = 2.* ASIN(1.)
192	!
193	WRITE(6,990)
194
195	! ----------------------------------------------------------------
196	!
197	IF( .NOT.fxyhypb ) THEN
198	!
199	!
200	IF( ysinus ) THEN
201	!
202	WRITE(6,) ' Inigeom , Y = Sinus ( Latitude ) * '
203	!
204	! .... utilisation de f(x,y ) avec y = sinus de la latitude .....
205
206	CALL fxysinus (rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, &
207	rlatu2,yprimu2, &
208	rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025)
209
210	ELSE
211	!
212	WRITE(6,) ' Inigeom , Y = Latitude , der. sinusoid . *'
213
214	! .... utilisation de f(x,y) a tangente sinusoidale , y etant la latit. ...
215	!
216
217	pxo = clon *pi /180.
218	pyo = 2.* clat* pi /180.
219	!
220	! .... determination de transx ( pour le zoom ) par Newton-Raphson ...
221	!
222	itmax = 10
223	eps = .1e-7
224	!
225	xo1 = 0.
226	DO iter = 1, itmax
227	x1 = xo1
228	f = x1+ alphax *SIN(x1-pxo)
229	df = 1.+ alphax *COS(x1-pxo)
230	x1 = x1 - f/df
231	xdm = ABS( x1- xo1 )
232	IF( xdm<=eps )GO TO 11
233	xo1 = x1
234	END DO
235	11 CONTINUE
236	!
237	transx = xo1
238
239	itmay = 10
240	eps = .1e-7
241	!
242	yo1 = 0.
243	DO iter = 1,itmay
244	y1 = yo1
245	f = y1 + alphay* SIN(y1-pyo)
246	df = 1. + alphay* COS(y1-pyo)
247	y1 = y1 -f/df
248	ydm = ABS(y1-yo1)
249	IF(ydm<=eps) GO TO 17
250	yo1 = y1
251	END DO
252	!
253	17 CONTINUE
254	transy = yo1
255
256	CALL fxy ( rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, &
257	rlatu2,yprimu2, &
258	rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025)
259
260	ENDIF
261	!
262	ELSE
263	!
264	! .... Utilisation de fxyhyper , f(x,y) a derivee tangente hyperbol.
265	! .....................................................................
266
267	WRITE(6,)' Inigeom , Y = Latitude , der.tg. hyperbolique *'
268
269	CALL fyhyp(rlatu, yprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1)
270	CALL fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025)
271
272	ENDIF
273	!
274	! -------------------------------------------------------------------
275
276	!
277	rlatu(1) = ASIN(1.)
278	rlatu(jjp1) = - rlatu(1)
279	!
280	!
281	! .... calcul aux poles ....
282	!
283	yprimu(1) = 0.
284	yprimu(jjp1) = 0.
285	!
286	!
287	un4rad2 = 0.25 * rad * rad
288	!
289	! --------------------------------------------------------------------
290	! --------------------------------------------------------------------
291	! - -
292	! - calcul des aires ( aire,aireu,airev, 1./aire, 1./airez ) -
293	! - et de fext , force de coriolis extensive . -
294	! - -
295	! --------------------------------------------------------------------
296	! --------------------------------------------------------------------
297	!
298	!
299	!
300	! A 1 point scalaire P (i,j) de la grille, reguliere en (X,Y) , sont
301	! affectees 4 aires entourant P , calculees respectivement aux points
302	! ( i + 1/4, j - 1/4 ) : aireij1 (i,j)
303	! ( i + 1/4, j + 1/4 ) : aireij2 (i,j)
304	! ( i - 1/4, j + 1/4 ) : aireij3 (i,j)
305	! ( i - 1/4, j - 1/4 ) : aireij4 (i,j)
306	!
307	! ,
308	! Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X,Y).
309	! Chaque aire centree en 1 point scalaire P(i,j) est egale a la somme
310	! des 4 aires aireij1,aireij2,aireij3,aireij4 qui sont affectees au
311	! point (i,j) .
312	! On definit en outre les coefficients alpha comme etant egaux a
313	! (aireij / aire), c.a.d par exp. alpha1(i,j)=aireij1(i,j)/aire(i,j)
314	!
315	! De meme, toute aire centree en 1 point U est egale a la somme des
316	! 4 aires aireij1,aireij2,aireij3,aireij4 entourant le point U .
317	! Idem pour airev, airez .
318	!
319	! On a ,pour chaque maille : dX = dY = 1
320	!
321	!
322	! . V
323	!
324	! aireij4 . . aireij1
325	!
326	! U . . P . U
327	!
328	! aireij3 . . aireij2
329	!
330	! . V
331	!
332	!
333	!
334	!
335	!
336	! ....................................................................
337	!
338	! Calcul des 4 aires elementaires aireij1,aireij2,aireij3,aireij4
339	! qui entourent chaque aire(i,j) , ainsi que les 4 elongations elemen
340	! taires cuij et les 4 elongat. cvij qui sont calculees aux memes
341	! endroits que les aireij .
342	!
343	! ....................................................................
344	!
345	! ....... do 35 : boucle sur les jjm + 1 latitudes .....
346	!
347	!
348	DO j = 1, jjp1
349	!
350	IF ( j == 1 ) THEN
351	!
352	yprm = yprimu1(j)
353	rlatm = rlatu1(j)
354	!
355	coslatm = COS( rlatm )
356	radclatm = 0.5* rad * coslatm
357	!
358	DO i = 1, iim
359	xprp = xprimp025( i )
360	xprm = xprimm025( i )
361	aireij2( i,1 ) = un4rad2 * coslatm * xprp * yprm
362	aireij3( i,1 ) = un4rad2 * coslatm * xprm * yprm
363	cuij2 ( i,1 ) = radclatm * xprp
364	cuij3 ( i,1 ) = radclatm * xprm
365	cvij2 ( i,1 ) = 0.5* rad * yprm
366	cvij3 ( i,1 ) = cvij2(i,1)
367	END DO
368	!
369	DO i = 1, iim
370	aireij1( i,1 ) = 0.
371	aireij4( i,1 ) = 0.
372	cuij1 ( i,1 ) = 0.
373	cuij4 ( i,1 ) = 0.
374	cvij1 ( i,1 ) = 0.
375	cvij4 ( i,1 ) = 0.
376	ENDDO
377	!
378	END IF
379	!
380	IF ( j == jjp1 ) THEN
381	yprp = yprimu2(j-1)
382	rlatp = rlatu2 (j-1)
383	!cc yprp = fyprim( REAL(j) - 0.25 )
384	!cc rlatp = fy ( REAL(j) - 0.25 )
385	!
386	coslatp = COS( rlatp )
387	radclatp = 0.5* rad * coslatp
388	!
389	DO i = 1,iim
390	xprp = xprimp025( i )
391	xprm = xprimm025( i )
392	aireij1( i,jjp1 ) = un4rad2 * coslatp * xprp * yprp
393	aireij4( i,jjp1 ) = un4rad2 * coslatp * xprm * yprp
394	cuij1(i,jjp1) = radclatp * xprp
395	cuij4(i,jjp1) = radclatp * xprm
396	cvij1(i,jjp1) = 0.5 * rad* yprp
397	cvij4(i,jjp1) = cvij1(i,jjp1)
398	END DO
399	!
400	DO i = 1, iim
401	aireij2( i,jjp1 ) = 0.
402	aireij3( i,jjp1 ) = 0.
403	cvij2 ( i,jjp1 ) = 0.
404	cvij3 ( i,jjp1 ) = 0.
405	cuij2 ( i,jjp1 ) = 0.
406	cuij3 ( i,jjp1 ) = 0.
407	ENDDO
408	!
409	END IF
410	!
411
412	IF ( j > 1 .AND. j < jjp1 ) THEN
413	!
414	rlatp = rlatu2 ( j-1 )
415	yprp = yprimu2( j-1 )
416	rlatm = rlatu1 ( j )
417	yprm = yprimu1( j )
418	!c rlatp = fy ( REAL(j) - 0.25 )
419	!c yprp = fyprim( REAL(j) - 0.25 )
420	!c rlatm = fy ( REAL(j) + 0.25 )
421	!c yprm = fyprim( REAL(j) + 0.25 )
422
423	coslatm = COS( rlatm )
424	coslatp = COS( rlatp )
425	radclatp = 0.5* rad * coslatp
426	radclatm = 0.5* rad * coslatm
427	!
428	ai14 = un4rad2 * coslatp * yprp
429	ai23 = un4rad2 * coslatm * yprm
430	DO i = 1,iim
431	xprp = xprimp025( i )
432	xprm = xprimm025( i )
433
434	aireij1 ( i,j ) = ai14 * xprp
435	aireij2 ( i,j ) = ai23 * xprp
436	aireij3 ( i,j ) = ai23 * xprm
437	aireij4 ( i,j ) = ai14 * xprm
438	cuij1 ( i,j ) = radclatp * xprp
439	cuij2 ( i,j ) = radclatm * xprp
440	cuij3 ( i,j ) = radclatm * xprm
441	cuij4 ( i,j ) = radclatp * xprm
442	cvij1 ( i,j ) = 0.5* rad * yprp
443	cvij2 ( i,j ) = 0.5* rad * yprm
444	cvij3 ( i,j ) = cvij2(i,j)
445	cvij4 ( i,j ) = cvij1(i,j)
446	END DO
447	!
448	END IF
449	!
450	! ........ periodicite ............
451	!
452	cvij1 (iip1,j) = cvij1 (1,j)
453	cvij2 (iip1,j) = cvij2 (1,j)
454	cvij3 (iip1,j) = cvij3 (1,j)
455	cvij4 (iip1,j) = cvij4 (1,j)
456	cuij1 (iip1,j) = cuij1 (1,j)
457	cuij2 (iip1,j) = cuij2 (1,j)
458	cuij3 (iip1,j) = cuij3 (1,j)
459	cuij4 (iip1,j) = cuij4 (1,j)
460	aireij1 (iip1,j) = aireij1 (1,j )
461	aireij2 (iip1,j) = aireij2 (1,j )
462	aireij3 (iip1,j) = aireij3 (1,j )
463	aireij4 (iip1,j) = aireij4 (1,j )
464
465	END DO
466	!
467	! ..............................................................
468	!
469	DO j = 1, jjp1
470	DO i = 1, iim
471	aire ( i,j ) = aireij1(i,j) + aireij2(i,j) + aireij3(i,j) + &
472	aireij4(i,j)
473	alpha1 ( i,j ) = aireij1(i,j) / aire(i,j)
474	alpha2 ( i,j ) = aireij2(i,j) / aire(i,j)
475	alpha3 ( i,j ) = aireij3(i,j) / aire(i,j)
476	alpha4 ( i,j ) = aireij4(i,j) / aire(i,j)
477	alpha1p2( i,j ) = alpha1 (i,j) + alpha2 (i,j)
478	alpha1p4( i,j ) = alpha1 (i,j) + alpha4 (i,j)
479	alpha2p3( i,j ) = alpha2 (i,j) + alpha3 (i,j)
480	alpha3p4( i,j ) = alpha3 (i,j) + alpha4 (i,j)
481	END DO
482	!
483	!
484	aire (iip1,j) = aire (1,j)
485	alpha1 (iip1,j) = alpha1 (1,j)
486	alpha2 (iip1,j) = alpha2 (1,j)
487	alpha3 (iip1,j) = alpha3 (1,j)
488	alpha4 (iip1,j) = alpha4 (1,j)
489	alpha1p2(iip1,j) = alpha1p2(1,j)
490	alpha1p4(iip1,j) = alpha1p4(1,j)
491	alpha2p3(iip1,j) = alpha2p3(1,j)
492	alpha3p4(iip1,j) = alpha3p4(1,j)
493	END DO
494	!
495
496	DO j = 1,jjp1
497	DO i = 1,iim
498	aireu (i,j)= aireij1(i,j) + aireij2(i,j) + aireij4(i+1,j) + &
499	aireij3(i+1,j)
500	unsaire ( i,j)= 1./ aire(i,j)
501	unsair_gam1( i,j)= unsaire(i,j)** ( - gamdi_gdiv )
502	unsair_gam2( i,j)= unsaire(i,j)** ( - gamdi_h )
503	airesurg ( i,j)= aire(i,j)/ g
504	END DO
505	aireu (iip1,j) = aireu (1,j)
506	unsaire (iip1,j) = unsaire(1,j)
507	unsair_gam1(iip1,j) = unsair_gam1(1,j)
508	unsair_gam2(iip1,j) = unsair_gam2(1,j)
509	airesurg (iip1,j) = airesurg(1,j)
510	END DO
511	!
512	!
513	DO j = 1,jjm
514	!
515	DO i=1,iim
516	airev (i,j) = aireij2(i,j)+ aireij3(i,j)+ aireij1(i,j+1) + &
517	aireij4(i,j+1)
518	ENDDO
519	DO i=1,iim
520	airez = aireij2(i,j)+aireij1(i,j+1)+aireij3(i+1,j) + &
521	aireij4(i+1,j+1)
522	unsairez(i,j) = 1./ airez
523	unsairz_gam(i,j)= unsairez(i,j)** ( - gamdi_grot )
524	fext (i,j) = airez * SIN(rlatv(j))* 2.* omeg
525	ENDDO
526	airev (iip1,j) = airev(1,j)
527	unsairez (iip1,j) = unsairez(1,j)
528	fext (iip1,j) = fext(1,j)
529	unsairz_gam(iip1,j) = unsairz_gam(1,j)
530	!
531	END DO
532	!
533	!
534	! ..... Calcul des elongations cu,cv, cvu .........
535	!
536	DO j = 1, jjm
537	DO i = 1, iim
538	cv(i,j) = 0.5 *( cvij2(i,j)+cvij3(i,j)+cvij1(i,j+1)+cvij4(i,j+1))
539	cvu(i,j)= 0.5 *( cvij1(i,j)+cvij4(i,j)+cvij2(i,j) +cvij3(i,j) )
540	cuv(i,j)= 0.5 *( cuij2(i,j)+cuij3(i,j)+cuij1(i,j+1)+cuij4(i,j+1))
541	unscv2(i,j) = 1./ ( cv(i,j)*cv(i,j) )
542	ENDDO
543	DO i = 1, iim
544	cuvsurcv (i,j) = airev(i,j) * unscv2(i,j)
545	cvsurcuv (i,j) = 1./cuvsurcv(i,j)
546	cuvscvgam1(i,j) = cuvsurcv (i,j) ** ( - gamdi_gdiv )
547	cuvscvgam2(i,j) = cuvsurcv (i,j) ** ( - gamdi_h )
548	cvscuvgam(i,j) = cvsurcuv (i,j) ** ( - gamdi_grot )
549	ENDDO
550	cv (iip1,j) = cv (1,j)
551	cvu (iip1,j) = cvu (1,j)
552	unscv2 (iip1,j) = unscv2 (1,j)
553	cuv (iip1,j) = cuv (1,j)
554	cuvsurcv (iip1,j) = cuvsurcv (1,j)
555	cvsurcuv (iip1,j) = cvsurcuv (1,j)
556	cuvscvgam1(iip1,j) = cuvscvgam1(1,j)
557	cuvscvgam2(iip1,j) = cuvscvgam2(1,j)
558	cvscuvgam(iip1,j) = cvscuvgam(1,j)
559	ENDDO
560
561	DO j = 2, jjm
562	DO i = 1, iim
563	cu(i,j) = 0.5*(cuij1(i,j)+cuij4(i+1,j)+cuij2(i,j)+cuij3(i+1,j))
564	unscu2 (i,j) = 1./ ( cu(i,j) * cu(i,j) )
565	cvusurcu (i,j) = aireu(i,j) * unscu2(i,j)
566	cusurcvu (i,j) = 1./ cvusurcu(i,j)
567	cvuscugam1 (i,j) = cvusurcu(i,j) ** ( - gamdi_gdiv )
568	cvuscugam2 (i,j) = cvusurcu(i,j) ** ( - gamdi_h )
569	cuscvugam (i,j) = cusurcvu(i,j) ** ( - gamdi_grot )
570	ENDDO
571	cu (iip1,j) = cu(1,j)
572	unscu2 (iip1,j) = unscu2(1,j)
573	cvusurcu (iip1,j) = cvusurcu(1,j)
574	cusurcvu (iip1,j) = cusurcvu(1,j)
575	cvuscugam1(iip1,j) = cvuscugam1(1,j)
576	cvuscugam2(iip1,j) = cvuscugam2(1,j)
577	cuscvugam (iip1,j) = cuscvugam(1,j)
578	ENDDO
579
580	!
581	! .... calcul aux poles ....
582	!
583	DO i = 1, iip1
584	cu ( i, 1 ) = 0.
585	unscu2( i, 1 ) = 0.
586	cvu ( i, 1 ) = 0.
587	!
588	cu (i, jjp1) = 0.
589	unscu2(i, jjp1) = 0.
590	cvu (i, jjp1) = 0.
591	ENDDO
592	!
593	! ..............................................................
594	!
595	DO j = 1, jjm
596	DO i= 1, iim
597	airvscu2 (i,j) = airev(i,j)/ ( cuv(i,j) * cuv(i,j) )
598	aivscu2gam(i,j) = airvscu2(i,j)** ( - gamdi_grot )
599	ENDDO
600	airvscu2 (iip1,j) = airvscu2(1,j)
601	aivscu2gam(iip1,j) = aivscu2gam(1,j)
602	ENDDO
603
604	DO j=2,jjm
605	DO i=1,iim
606	airuscv2 (i,j) = aireu(i,j)/ ( cvu(i,j) * cvu(i,j) )
607	aiuscv2gam (i,j) = airuscv2(i,j)** ( - gamdi_grot )
608	ENDDO
609	airuscv2 (iip1,j) = airuscv2 (1,j)
610	aiuscv2gam(iip1,j) = aiuscv2gam(1,j)
611	ENDDO
612
613	!
614	! calcul des aires aux poles :
615	! -----------------------------
616	!
617	apoln = SSUM(iim,aire(1,1),1)
618	apols = SSUM(iim,aire(1,jjp1),1)
619	unsapolnga1 = 1./ ( apoln ** ( - gamdi_gdiv ) )
620	unsapolsga1 = 1./ ( apols ** ( - gamdi_gdiv ) )
621	unsapolnga2 = 1./ ( apoln ** ( - gamdi_h ) )
622	unsapolsga2 = 1./ ( apols ** ( - gamdi_h ) )
623	!
624	!-----------------------------------------------------------------------
625	! gtitre='Coriolis version ancienne'
626	! gfichier='fext1'
627	! CALL writestd(fext,iip1*jjm)
628	!
629	! changement F. Hourdin calcul conservatif pour fext
630	! constang contient le produit a * cos ( latitude ) * omega
631	!
632	DO i=1,iim
633	constang(i,1) = 0.
634	ENDDO
635	DO j=1,jjm-1
636	DO i=1,iim
637	constang(i,j+1) = radomegcu(i,j+1)*COS(rlatu(j+1))
638	ENDDO
639	ENDDO
640	DO i=1,iim
641	constang(i,jjp1) = 0.
642	ENDDO
643	!
644	! periodicite en longitude
645	!
646	DO j=1,jjm
647	fext(iip1,j) = fext(1,j)
648	ENDDO
649	DO j=1,jjp1
650	constang(iip1,j) = constang(1,j)
651	ENDDO
652
653	! fin du changement
654
655	!
656	!-----------------------------------------------------------------------
657	!
658	WRITE(6,) ' Coordonnees de la grille * '
659	WRITE(6,995)
660	!
661	WRITE(6,*) ' LONGITUDES aux pts. V ( degres ) '
662	WRITE(6,995)
663	DO i=1,iip1
664	rlonvv(i) = rlonv(i)*180./pi
665	ENDDO
666	WRITE(6,400) rlonvv
667	!
668	WRITE(6,995)
669	WRITE(6,*) ' LATITUDES aux pts. V ( degres ) '
670	WRITE(6,995)
671	DO i=1,jjm
672	rlatuu(i)=rlatv(i)*180./pi
673	ENDDO
674	WRITE(6,400) (rlatuu(i),i=1,jjm)
675	!
676	DO i=1,iip1
677	rlonvv(i)=rlonu(i)*180./pi
678	ENDDO
679	WRITE(6,995)
680	WRITE(6,*) ' LONGITUDES aux pts. U ( degres ) '
681	WRITE(6,995)
682	WRITE(6,400) rlonvv
683	WRITE(6,995)
684
685	WRITE(6,*) ' LATITUDES aux pts. U ( degres ) '
686	WRITE(6,995)
687	DO i=1,jjp1
688	rlatuu(i)=rlatu(i)*180./pi
689	ENDDO
690	WRITE(6,400) (rlatuu(i),i=1,jjp1)
691	WRITE(6,995)
692	!
693	444 format(f10.3,f6.0)
694	400 FORMAT(1x,8f8.2)
695	990 FORMAT(//)
696	995 FORMAT(/)
697	!
698	RETURN
699	END SUBROUTINE inigeom

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