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grid_noro.F @ 937

Last change on this file since 937 was 808, checked in by slebonnois, 12 years ago
SL: Many changes for VENUS (related to newstart) and TITAN (related to clouds). Please read DOC/chantiers/commit_importants.log (cf v808).
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1	!
2	! $Id: grid_noro.F 1442 2010-10-18 08:31:31Z jghattas $
3	!
4	c
5	c
6	SUBROUTINE grid_noro(imdep, jmdep, xdata, ydata, zdata,
7	. imar, jmar, x, y,
8	. zphi,zmea,zstd,zsig,zgam,zthe,
9	. zpic,zval)
10	c=======================================================================
11	c (F. Lott) (voir aussi z.x. Li, A. Harzallah et L. Fairhead)
12	c
13	c Compute the Parameters of the SSO scheme as described in
14	c LOTT & MILLER (1997) and LOTT(1999).
15	c Target points are on a rectangular grid:
16	c iim+1 latitudes including North and South Poles;
17	c jjm+1 longitudes, with periodicity jjm+1=1.
18	c aux poles. At the poles the fields value is repeated
19	c jjm+1 time.
20	c The parameters a,b,c,d represent the limite of the target
21	c gridpoint region. The means over this region are calculated
22	c from USN data, ponderated by a weight proportional to the
23	c surface occupated by the data inside the model gridpoint area.
24	c In most circumstances, this weight is the ratio between the
25	c surface of the USN gridpoint area and the surface of the
26	c model gridpoint area.
27	c
28	c (c)
29	c ----d-----
30	c \| . . . .\|
31	c \| \|
32	c (b)a . * . .b(a)
33	c \| \|
34	c \| . . . .\|
35	c ----c-----
36	c (d)
37	C=======================================================================
38	c INPUT:
39	c imdep, jmdep: dimensions X and Y input field
40	c xdata, ydata: coordinates X and Y input field
41	c zdata: Input field
42	c OUTPUT:
43	c imar, jmar: dimensions X and Y Output field
44	c x, y: ccordinates X and Y Output field.
45	c zmea: Mean orographie
46	c zstd: Standard deviation
47	c zsig: Slope
48	c zgam: Anisotropy
49	c zthe: Orientation of the small axis
50	c zpic: Maximum altitude
51	c zval: Minimum altitude
52	C=======================================================================
53
54	IMPLICIT INTEGER (I,J)
55	IMPLICIT REAL(X,Z)
56
57	#include "dimensions.h"
58
59	INTEGER imdep, jmdep
60	REAL xdata(imdep),ydata(jmdep)
61	REAL zdata(imdep,jmdep)
62	c
63	INTEGER imar, jmar
64	c parametres lies au fichier d entree... A documenter...
65	parameter(iext=216, epsfra = 1.e-5)
66	REAL xusn(imdep+2*iext),yusn(jmdep+2)
67	REAL zusn(imdep+2*iext,jmdep+2)
68
69	C INTERMEDIATE FIELDS (CORRELATIONS OF OROGRAPHY GRADIENT)
70
71	REAL ztz(iim+1,jjm+1),zxtzx(iim+1,jjm+1)
72	REAL zytzy(iim+1,jjm+1),zxtzy(iim+1,jjm+1)
73	REAL weight(iim+1,jjm+1)
74
75	C CORRELATIONS OF USN OROGRAPHY GRADIENTS
76
77	REAL zxtzxusn(imdep+2*iext,jmdep+2)
78	REAL zytzyusn(imdep+2*iext,jmdep+2)
79	REAL zxtzyusn(imdep+2*iext,jmdep+2)
80	REAL x(imar+1),y(jmar),zphi(imar+1,jmar)
81	REAL zmea(imar+1,jmar),zstd(imar+1,jmar)
82	REAL zsig(imar+1,jmar),zgam(imar+1,jmar),zthe(imar+1,jmar)
83	REAL zpic(imar+1,jmar),zval(imar+1,jmar)
84	real num_tot(2200,1100),num_lan(2200,1100)
85	c
86	REAL a(2200),b(2200),c(1100),d(1100)
87	c
88	print *,' parametres de l orographie a l echelle sous maille'
89	xpi=acos(-1.)
90	rad = 6 371 229.
91	zdeltay=2.xpi/REAL(jmdep)rad
92	c
93	c quelques tests de dimensions:
94	c
95	c
96	if(iim.ne.imar) STOP 'Problem dim. x'
97	if(jjm.ne.jmar-1) STOP 'Problem dim. y'
98	IF (imar.GT.2200 .OR. jmar.GT.1100) THEN
99	PRINT*, 'imar or jmar too big', imar, jmar
100	CALL ABORT
101	ENDIF
102
103	IF(imar+1.ne.iim+1.or.jmar.ne.jjm+1)THEN
104	print *,' imar or jmar bad dimensions:',imar,jmar
105	call abort
106	ENDIF
107
108
109	c print *,'xdata:',xdata
110	c print *,'ydata:',ydata
111	c print *,'x:',x
112	c print *,'y:',y
113	c
114	C EXTENSION OF THE USN DATABASE TO POCEED COMPUTATIONS AT
115	C BOUNDARIES:
116	c
117	DO j=1,jmdep
118	yusn(j+1)=ydata(j)
119	DO i=1,imdep
120	zusn(i+iext,j+1)=zdata(i,j)
121	xusn(i+iext)=xdata(i)
122	ENDDO
123	DO i=1,iext
124	zusn(i,j+1)=zdata(imdep-iext+i,j)
125	xusn(i)=xdata(imdep-iext+i)-2.*xpi
126	zusn(imdep+iext+i,j+1)=zdata(i,j)
127	xusn(imdep+iext+i)=xdata(i)+2.*xpi
128	ENDDO
129	ENDDO
130
131	yusn(1)=ydata(1)+(ydata(1)-ydata(2))
132	yusn(jmdep+2)=ydata(jmdep)+(ydata(jmdep)-ydata(jmdep-1))
133	DO i=1,imdep/2+iext
134	zusn(i,1)=zusn(i+imdep/2,2)
135	zusn(i+imdep/2+iext,1)=zusn(i,2)
136	zusn(i,jmdep+2)=zusn(i+imdep/2,jmdep+1)
137	zusn(i+imdep/2+iext,jmdep+2)=zusn(i,jmdep+1)
138	ENDDO
139	c
140	c COMPUTE LIMITS OF MODEL GRIDPOINT AREA
141	C ( REGULAR GRID)
142	c
143	a(1) = x(1) - (x(2)-x(1))/2.0
144	b(1) = (x(1)+x(2))/2.0
145	DO i = 2, imar
146	a(i) = b(i-1)
147	b(i) = (x(i)+x(i+1))/2.0
148	ENDDO
149	a(imar+1) = b(imar)
150	b(imar+1) = x(imar+1) + (x(imar+1)-x(imar))/2.0
151
152	c(1) = y(1) - (y(2)-y(1))/2.0
153	d(1) = (y(1)+y(2))/2.0
154	DO j = 2, jmar-1
155	c(j) = d(j-1)
156	d(j) = (y(j)+y(j+1))/2.0
157	ENDDO
158	c(jmar) = d(jmar-1)
159	d(jmar) = y(jmar) + (y(jmar)-y(jmar-1))/2.0
160	c
161	c initialisations:
162	c
163	DO i = 1, imar+1
164	DO j = 1, jmar
165	weight(i,j) = 0.0
166	zxtzx(i,j) = 0.0
167	zytzy(i,j) = 0.0
168	zxtzy(i,j) = 0.0
169	ztz(i,j) = 0.0
170	zmea(i,j) = 0.0
171	zpic(i,j) =-1.E+10
172	zval(i,j) = 1.E+10
173	ENDDO
174	ENDDO
175	c
176	c COMPUTE SLOPES CORRELATIONS ON USN GRID
177	c
178	DO j = 1,jmdep+2
179	DO i = 1, imdep+2*iext
180	zytzyusn(i,j)=0.0
181	zxtzxusn(i,j)=0.0
182	zxtzyusn(i,j)=0.0
183	ENDDO
184	ENDDO
185
186
187	DO j = 2,jmdep+1
188	zdeltax=zdeltay*cos(yusn(j))
189	DO i = 2, imdep+2*iext-1
190	zytzyusn(i,j)=(zusn(i,j+1)-zusn(i,j-1))2/zdeltay2
191	zxtzxusn(i,j)=(zusn(i+1,j)-zusn(i-1,j))2/zdeltax2
192	zxtzyusn(i,j)=(zusn(i,j+1)-zusn(i,j-1))/zdeltay
193	* *(zusn(i+1,j)-zusn(i-1,j))/zdeltax
194	ENDDO
195	ENDDO
196	c
197	c SUMMATION OVER GRIDPOINT AREA
198	c
199	zleny=xpi/REAL(jmdep)*rad
200	xincr=xpi/2./REAL(jmdep)
201	DO ii = 1, imar+1
202	DO jj = 1, jmar
203	num_tot(ii,jj)=0.
204	num_lan(ii,jj)=0.
205	c PRINT *,' iteration ii jj:',ii,jj
206	DO j = 2,jmdep+1
207	c DO j = 3,jmdep
208	zlenx=zleny*cos(yusn(j))
209	zdeltax=zdeltay*cos(yusn(j))
210	zbordnor=(c(jj)-yusn(j)+xincr)*rad
211	zbordsud=(yusn(j)-d(jj)+xincr)*rad
212	weighy=AMAX1(0.,
213	* amin1(zbordnor,zbordsud,zleny))
214	IF(weighy.ne.0)THEN
215	DO i = 2, imdep+2*iext-1
216	zbordest=(xusn(i)-a(ii)+xincr)radcos(yusn(j))
217	zbordoue=(b(ii)+xincr-xusn(i))radcos(yusn(j))
218	weighx=AMAX1(0.,
219	* amin1(zbordest,zbordoue,zlenx))
220	IF(weighx.ne.0)THEN
221	num_tot(ii,jj)=num_tot(ii,jj)+1.0
222	if(zusn(i,j).ge.1.)num_lan(ii,jj)=num_lan(ii,jj)+1.0
223	weight(ii,jj)=weight(ii,jj)+weighx*weighy
224	zxtzx(ii,jj)=zxtzx(ii,jj)+zxtzxusn(i,j)weighxweighy
225	zytzy(ii,jj)=zytzy(ii,jj)+zytzyusn(i,j)weighxweighy
226	zxtzy(ii,jj)=zxtzy(ii,jj)+zxtzyusn(i,j)weighxweighy
227	ztz(ii,jj) =ztz(ii,jj) +zusn(i,j)zusn(i,j)weighx*weighy
228	c mean
229	zmea(ii,jj) =zmea(ii,jj)+zusn(i,j)weighxweighy
230	c peacks
231	zpic(ii,jj)=amax1(zpic(ii,jj),zusn(i,j))
232	c valleys
233	zval(ii,jj)=amin1(zval(ii,jj),zusn(i,j))
234	ENDIF
235	ENDDO
236	ENDIF
237	ENDDO
238	ENDDO
239	ENDDO
240	c
241	c COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND
242	C LOTT (1999) SSO SCHEME.
243	c
244	zllmmea=0.
245	zllmstd=0.
246	zllmsig=0.
247	zllmgam=0.
248	zllmpic=0.
249	zllmval=0.
250	zllmthe=0.
251	zminthe=0.
252	c print 100,' '
253	c100 format(1X,A1,'II JJ',4X,'H',8X,'SD',8X,'SI',3X,'GA',3X,'TH')
254	DO ii = 1, imar+1
255	DO jj = 1, jmar
256	IF (weight(ii,jj) .NE. 0.0) THEN
257	c Mean Orography:
258	zmea (ii,jj)=zmea (ii,jj)/weight(ii,jj)
259	zxtzx(ii,jj)=zxtzx(ii,jj)/weight(ii,jj)
260	zytzy(ii,jj)=zytzy(ii,jj)/weight(ii,jj)
261	zxtzy(ii,jj)=zxtzy(ii,jj)/weight(ii,jj)
262	ztz(ii,jj) =ztz(ii,jj)/weight(ii,jj)
263	c Standard deviation:
264	zstd(ii,jj)=sqrt(AMAX1(0.,ztz(ii,jj)-zmea(ii,jj)**2))
265	ELSE
266	PRINT*, 'probleme,ii,jj=', ii,jj
267	ENDIF
268	ENDDO
269	ENDDO
270
271	C CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES:
272
273	DO ii = 1, imar+1
274	zxtzx(ii,1)=zxtzx(ii,2)
275	zxtzx(ii,jmar)=zxtzx(ii,jmar-1)
276	zxtzy(ii,1)=zxtzy(ii,2)
277	zxtzy(ii,jmar)=zxtzy(ii,jmar-1)
278	zytzy(ii,1)=zytzy(ii,2)
279	zytzy(ii,jmar)=zytzy(ii,jmar-1)
280	ENDDO
281
282	C FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME.
283
284	C FIRST FILTER, MOVING AVERAGE OVER 9 POINTS.
285
286	CALL MVA9(zmea,iim+1,jjm+1)
287	CALL MVA9(zstd,iim+1,jjm+1)
288	CALL MVA9(zpic,iim+1,jjm+1)
289	CALL MVA9(zval,iim+1,jjm+1)
290	CALL MVA9(zxtzx,iim+1,jjm+1)
291	CALL MVA9(zxtzy,iim+1,jjm+1)
292	CALL MVA9(zytzy,iim+1,jjm+1)
293
294	DO ii = 1, imar
295	DO jj = 1, jmar
296	IF (weight(ii,jj) .NE. 0.0) THEN
297	c Coefficients K, L et M:
298	xk=(zxtzx(ii,jj)+zytzy(ii,jj))/2.
299	xl=(zxtzx(ii,jj)-zytzy(ii,jj))/2.
300	xm=zxtzy(ii,jj)
301	xp=xk-sqrt(xl2+xm2)
302	xq=xk+sqrt(xl2+xm2)
303	xw=1.e-8
304	if(xp.le.xw) xp=0.
305	if(xq.le.xw) xq=xw
306	if(abs(xm).le.xw) xm=xw*sign(1.,xm)
307	c slope:
308	zsig(ii,jj)=sqrt(xq)
309	c isotropy:
310	zgam(ii,jj)=xp/xq
311	c angle theta:
312	zthe(ii,jj)=57.29577951*atan2(xm,xl)/2.
313	zphi(ii,jj)=zmea(ii,jj)
314	!
315	zmea(ii,jj)=zmea(ii,jj)
316	zpic(ii,jj)=zpic(ii,jj)
317	zval(ii,jj)=zval(ii,jj)
318	zstd(ii,jj)=zstd(ii,jj)
319	c print 101,ii,jj,
320	c * zmea(ii,jj),zstd(ii,jj),zsig(ii,jj),zgam(ii,jj),
321	c * zthe(ii,jj)
322	c101 format(1x,2(1x,i2),2(1x,f7.1),1x,f7.4,2x,f4.2,1x,f5.1)
323	ELSE
324	c PRINT*, 'probleme,ii,jj=', ii,jj
325	ENDIF
326	zllmmea=AMAX1(zmea(ii,jj),zllmmea)
327	zllmstd=AMAX1(zstd(ii,jj),zllmstd)
328	zllmsig=AMAX1(zsig(ii,jj),zllmsig)
329	zllmgam=AMAX1(zgam(ii,jj),zllmgam)
330	zllmthe=AMAX1(zthe(ii,jj),zllmthe)
331	zminthe=amin1(zthe(ii,jj),zminthe)
332	zllmpic=AMAX1(zpic(ii,jj),zllmpic)
333	zllmval=AMAX1(zval(ii,jj),zllmval)
334	ENDDO
335	ENDDO
336	print *,' MEAN ORO:',zllmmea
337	print *,' ST. DEV.:',zllmstd
338	print *,' PENTE:',zllmsig
339	print *,' ANISOTROP:',zllmgam
340	print *,' ANGLE:',zminthe,zllmthe
341	print *,' pic:',zllmpic
342	print *,' val:',zllmval
343
344	C
345	c gamma and theta a 1. and 0. at poles
346	c
347	DO jj=1,jmar
348	zmea(imar+1,jj)=zmea(1,jj)
349	zphi(imar+1,jj)=zphi(1,jj)
350	zpic(imar+1,jj)=zpic(1,jj)
351	zval(imar+1,jj)=zval(1,jj)
352	zstd(imar+1,jj)=zstd(1,jj)
353	zsig(imar+1,jj)=zsig(1,jj)
354	zgam(imar+1,jj)=zgam(1,jj)
355	zthe(imar+1,jj)=zthe(1,jj)
356	ENDDO
357
358
359	zmeanor=0.0
360	zmeasud=0.0
361	zstdnor=0.0
362	zstdsud=0.0
363	zsignor=0.0
364	zsigsud=0.0
365	zweinor=0.0
366	zweisud=0.0
367	zpicnor=0.0
368	zpicsud=0.0
369	zvalnor=0.0
370	zvalsud=0.0
371
372	DO ii=1,imar
373	zweinor=zweinor+ weight(ii, 1)
374	zweisud=zweisud+ weight(ii,jmar)
375	zmeanor=zmeanor+zmea(ii, 1)*weight(ii, 1)
376	zmeasud=zmeasud+zmea(ii,jmar)*weight(ii,jmar)
377	zstdnor=zstdnor+zstd(ii, 1)*weight(ii, 1)
378	zstdsud=zstdsud+zstd(ii,jmar)*weight(ii,jmar)
379	zsignor=zsignor+zsig(ii, 1)*weight(ii, 1)
380	zsigsud=zsigsud+zsig(ii,jmar)*weight(ii,jmar)
381	zpicnor=zpicnor+zpic(ii, 1)*weight(ii, 1)
382	zpicsud=zpicsud+zpic(ii,jmar)*weight(ii,jmar)
383	zvalnor=zvalnor+zval(ii, 1)*weight(ii, 1)
384	zvalsud=zvalsud+zval(ii,jmar)*weight(ii,jmar)
385	ENDDO
386
387	DO ii=1,imar+1
388	zmea(ii, 1)=zmeanor/zweinor
389	zmea(ii,jmar)=zmeasud/zweisud
390	zphi(ii, 1)=zmeanor/zweinor
391	zphi(ii,jmar)=zmeasud/zweisud
392	zpic(ii, 1)=zpicnor/zweinor
393	zpic(ii,jmar)=zpicsud/zweisud
394	zval(ii, 1)=zvalnor/zweinor
395	zval(ii,jmar)=zvalsud/zweisud
396	zstd(ii, 1)=zstdnor/zweinor
397	zstd(ii,jmar)=zstdsud/zweisud
398	zsig(ii, 1)=zsignor/zweinor
399	zsig(ii,jmar)=zsigsud/zweisud
400	zgam(ii, 1)=1.
401	zgam(ii,jmar)=1.
402	zthe(ii, 1)=0.
403	zthe(ii,jmar)=0.
404	ENDDO
405
406	RETURN
407	END
408
409	SUBROUTINE MVA9(X,IMAR,JMAR)
410
411	C MAKE A MOVING AVERAGE OVER 9 GRIDPOINTS OF THE X FIELDS
412
413	REAL X(IMAR,JMAR),XF(IMAR,JMAR)
414	real WEIGHTpb(-1:1,-1:1)
415
416
417	SUM=0.
418	DO IS=-1,1
419	DO JS=-1,1
420	WEIGHTpb(IS,JS)=1./REAL((1+IS*2)(1+JS**2))
421	SUM=SUM+WEIGHTpb(IS,JS)
422	ENDDO
423	ENDDO
424
425	c WRITE(,) 'MVA9 ', IMAR, JMAR
426	c WRITE(,) 'MVA9 ', WEIGHTpb
427	c WRITE(,) 'MVA9 SUM ', SUM
428	DO IS=-1,1
429	DO JS=-1,1
430	WEIGHTpb(IS,JS)=WEIGHTpb(IS,JS)/SUM
431	ENDDO
432	ENDDO
433
434	DO J=2,JMAR-1
435	DO I=2,IMAR-1
436	XF(I,J)=0.
437	DO IS=-1,1
438	DO JS=-1,1
439	XF(I,J)=XF(I,J)+X(I+IS,J+JS)*WEIGHTpb(IS,JS)
440	ENDDO
441	ENDDO
442	ENDDO
443	ENDDO
444
445	DO J=2,JMAR-1
446	XF(1,J)=0.
447	IS=IMAR-1
448	DO JS=-1,1
449	XF(1,J)=XF(1,J)+X(IS,J+JS)*WEIGHTpb(-1,JS)
450	ENDDO
451	DO IS=0,1
452	DO JS=-1,1
453	XF(1,J)=XF(1,J)+X(1+IS,J+JS)*WEIGHTpb(IS,JS)
454	ENDDO
455	ENDDO
456	XF(IMAR,J)=XF(1,J)
457	ENDDO
458
459	DO I=1,IMAR
460	XF(I,1)=XF(I,2)
461	XF(I,JMAR)=XF(I,JMAR-1)
462	ENDDO
463
464	DO I=1,IMAR
465	DO J=1,JMAR
466	X(I,J)=XF(I,J)
467	ENDDO
468	ENDDO
469
470	RETURN
471	END
472
473
474

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