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inigeom.F @ 436

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

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