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source: codes/icosagcm/trunk/src/sphere/geometry.f90 @ 814

Last change on this file since 814 was 814, checked in by adurocher, 5 years ago
trunk : removed double allocation of geom%bi in allocate_geometry
File size: 22.5 KB

Line
1	MODULE geometry
2	USE field_mod
3	IMPLICIT NONE
4
5	TYPE t_geometry
6	TYPE(t_field),POINTER :: centroid(:)
7	TYPE(t_field),POINTER :: xyz_i(:)
8	TYPE(t_field),POINTER :: xyz_e(:)
9	TYPE(t_field),POINTER :: xyz_v(:)
10	TYPE(t_field),POINTER :: lon_i(:)
11	TYPE(t_field),POINTER :: lon_e(:)
12	TYPE(t_field),POINTER :: lat_i(:)
13	TYPE(t_field),POINTER :: lat_e(:)
14	TYPE(t_field),POINTER :: ep_e(:)
15	TYPE(t_field),POINTER :: et_e(:)
16	TYPE(t_field),POINTER :: elon_i(:)
17	TYPE(t_field),POINTER :: elat_i(:)
18	TYPE(t_field),POINTER :: elon_e(:)
19	TYPE(t_field),POINTER :: elat_e(:)
20	TYPE(t_field),POINTER :: Ai(:)
21	TYPE(t_field),POINTER :: Av(:)
22	TYPE(t_field),POINTER :: de(:)
23	TYPE(t_field),POINTER :: le(:)
24	TYPE(t_field),POINTER :: le_de(:) ! le/de, 0. if de=0.
25	TYPE(t_field),POINTER :: Riv(:)
26	TYPE(t_field),POINTER :: S1(:)
27	TYPE(t_field),POINTER :: S2(:)
28	TYPE(t_field),POINTER :: Riv2(:)
29	TYPE(t_field),POINTER :: ne(:)
30	TYPE(t_field),POINTER :: Wee(:)
31	TYPE(t_field),POINTER :: bi(:)
32	TYPE(t_field),POINTER :: fv(:)
33	END TYPE t_geometry
34
35	TYPE(t_geometry),SAVE,TARGET :: geom
36
37
38	REAL(rstd),POINTER :: Ai(:) ! area of a cell
39	!$OMP THREADPRIVATE(Ai)
40	REAL(rstd),POINTER :: centroid(:,:) ! coordinate of the centroid of the cell
41	!$OMP THREADPRIVATE(centroid)
42	REAL(rstd),POINTER :: xyz_i(:,:) ! coordinate of the center of the cell (voronoi)
43	!$OMP THREADPRIVATE(xyz_i)
44	REAL(rstd),POINTER :: xyz_e(:,:) ! coordinate of a wind point on the cell on a edge
45	!$OMP THREADPRIVATE(xyz_e)
46	REAL(rstd),POINTER :: xyz_v(:,:) ! coordinate of a vertex (center of the dual mesh)
47	!$OMP THREADPRIVATE(xyz_v)
48	REAL(rstd),POINTER :: lon_i(:) ! longitude of the center of the cell (voronoi)
49	!$OMP THREADPRIVATE(lon_i)
50	REAL(rstd),POINTER :: lon_e(:) ! longitude of a wind point on the cell on a edge
51	!$OMP THREADPRIVATE(lon_e)
52	REAL(rstd),POINTER :: lat_i(:) ! latitude of the center of the cell (voronoi)
53	!$OMP THREADPRIVATE(lat_i)
54	REAL(rstd),POINTER :: lat_e(:) ! latitude of a wind point on the cell on a edge
55	!$OMP THREADPRIVATE(lat_e)
56	REAL(rstd),POINTER :: ep_e(:,:) ! perpendicular unit vector of a edge (outsider)
57	!$OMP THREADPRIVATE(ep_e)
58	REAL(rstd),POINTER :: et_e(:,:) ! tangeantial unit vector of a edge
59	!$OMP THREADPRIVATE(et_e)
60	REAL(rstd),POINTER :: elon_i(:,:) ! unit longitude vector on the center
61	!$OMP THREADPRIVATE(elon_i)
62	REAL(rstd),POINTER :: elat_i(:,:) ! unit latitude vector on the center
63	!$OMP THREADPRIVATE(elat_i)
64	REAL(rstd),POINTER :: elon_e(:,:) ! unit longitude vector on a wind point
65	!$OMP THREADPRIVATE(elon_e)
66	REAL(rstd),POINTER :: elat_e(:,:) ! unit latitude vector on a wind point
67	!$OMP THREADPRIVATE(elat_e)
68	REAL(rstd),POINTER :: Av(:) ! area of dual mesk cell
69	!$OMP THREADPRIVATE(Av)
70	REAL(rstd),POINTER :: de(:) ! distance from a neighbour == lenght of an edge of the dual mesh
71	!$OMP THREADPRIVATE(de)
72	REAL(rstd),POINTER :: le(:) ! lenght of a edge
73	!$OMP THREADPRIVATE(le)
74	REAL(rstd),POINTER :: le_de(:) ! le/de
75	!$OMP THREADPRIVATE(le_de)
76	REAL(rstd),POINTER :: S1(:,:) ! area of sub-triangle
77	!$OMP THREADPRIVATE(S1)
78	REAL(rstd),POINTER :: S2(:,:) ! area of sub-tirangle
79	!$OMP THREADPRIVATE(S2)
80	REAL(rstd),POINTER :: Riv(:,:) ! weight
81	!$OMP THREADPRIVATE(Riv)
82	REAL(rstd),POINTER :: Riv2(:,:) ! weight
83	!$OMP THREADPRIVATE(Riv2)
84	INTEGER,POINTER :: ne(:,:) ! convention for the way on the normal wind on an edge
85	!$OMP THREADPRIVATE(ne)
86	REAL(rstd),POINTER :: Wee(:,:,:) ! weight
87	!$OMP THREADPRIVATE(Wee)
88	REAL(rstd),POINTER :: bi(:) ! orographie
89	!$OMP THREADPRIVATE(bi)
90	REAL(rstd),POINTER :: fv(:) ! coriolis (evaluted on a vertex)
91	!$OMP THREADPRIVATE(fv)
92
93
94	INTEGER, PARAMETER :: ne_right=1
95	INTEGER, PARAMETER :: ne_rup=-1
96	INTEGER, PARAMETER :: ne_lup=1
97	INTEGER, PARAMETER :: ne_left=-1
98	INTEGER, PARAMETER :: ne_ldown=1
99	INTEGER, PARAMETER :: ne_rdown=-1
100
101	CONTAINS
102
103	SUBROUTINE allocate_geometry
104	USE field_mod
105	IMPLICIT NONE
106
107	CALL allocate_field(geom%Ai,field_t,type_real,name='Ai')
108
109	CALL allocate_field(geom%xyz_i,field_t,type_real,3)
110	CALL allocate_field(geom%lon_i,field_t,type_real)
111	CALL allocate_field(geom%lat_i,field_t,type_real)
112	CALL allocate_field(geom%elon_i,field_t,type_real,3)
113	CALL allocate_field(geom%elat_i,field_t,type_real,3)
114	CALL allocate_field(geom%centroid,field_t,type_real,3)
115
116	CALL allocate_field(geom%xyz_e,field_u,type_real,3)
117	CALL allocate_field(geom%lon_e,field_u,type_real)
118	CALL allocate_field(geom%lat_e,field_u,type_real)
119	CALL allocate_field(geom%elon_e,field_u,type_real,3)
120	CALL allocate_field(geom%elat_e,field_u,type_real,3)
121	CALL allocate_field(geom%ep_e,field_u,type_real,3)
122	CALL allocate_field(geom%et_e,field_u,type_real,3)
123
124	CALL allocate_field(geom%xyz_v,field_z,type_real,3)
125	CALL allocate_field(geom%de,field_u,type_real)
126	CALL allocate_field(geom%le,field_u,type_real)
127	CALL allocate_field(geom%le_de,field_u,type_real)
128	CALL allocate_field(geom%bi,field_t,type_real)
129	CALL allocate_field(geom%Av,field_z,type_real)
130	CALL allocate_field(geom%S1,field_t,type_real,6)
131	CALL allocate_field(geom%S2,field_t,type_real,6)
132	CALL allocate_field(geom%Riv,field_t,type_real,6)
133	CALL allocate_field(geom%Riv2,field_t,type_real,6)
134	CALL allocate_field(geom%ne,field_t,type_integer,6)
135	CALL allocate_field(geom%Wee,field_u,type_real,5,2)
136	CALL allocate_field(geom%fv,field_z,type_real)
137
138	END SUBROUTINE allocate_geometry
139
140
141	SUBROUTINE swap_geometry(ind)
142	USE field_mod
143	IMPLICIT NONE
144	INTEGER,INTENT(IN) :: ind
145	!!$OMP MASTER
146	Ai=geom%Ai(ind)
147	xyz_i=geom%xyz_i(ind)
148	centroid=geom%centroid(ind)
149	xyz_e=geom%xyz_e(ind)
150	ep_e=geom%ep_e(ind)
151	et_e=geom%et_e(ind)
152	lon_i=geom%lon_i(ind)
153	lat_i=geom%lat_i(ind)
154	lon_e=geom%lon_e(ind)
155	lat_e=geom%lat_e(ind)
156	elon_i=geom%elon_i(ind)
157	elat_i=geom%elat_i(ind)
158	elon_e=geom%elon_e(ind)
159	elat_e=geom%elat_e(ind)
160	xyz_v=geom%xyz_v(ind)
161	de=geom%de(ind)
162	le=geom%le(ind)
163	le_de=geom%le_de(ind)
164	Av=geom%Av(ind)
165	S1=geom%S1(ind)
166	S2=geom%S2(ind)
167	Riv=geom%Riv(ind)
168	Riv2=geom%Riv2(ind)
169	ne=geom%ne(ind)
170	Wee=geom%Wee(ind)
171	bi=geom%bi(ind)
172	fv=geom%fv(ind)
173	!!$OMP END MASTER
174	!!$OMP BARRIER
175	END SUBROUTINE swap_geometry
176
177	SUBROUTINE update_circumcenters
178	USE domain_mod
179	USE dimensions
180	USE spherical_geom_mod
181	USE vector
182	USE transfert_mod
183	USE omp_para
184
185	IMPLICIT NONE
186	REAL(rstd) :: x1(3),x2(3)
187	REAL(rstd) :: vect(3,6)
188	REAL(rstd) :: centr(3)
189	INTEGER :: ind,i,j,n,k
190	TYPE(t_message),SAVE :: message0, message1
191	LOGICAL, SAVE :: first=.TRUE.
192	!$OMP THREADPRIVATE(first)
193
194	IF (first) THEN
195	CALL init_message(geom%xyz_i, req_i0 ,message0)
196	CALL init_message(geom%xyz_i, req_i1 ,message1)
197	first=.FALSE.
198	ENDIF
199
200	CALL transfert_message(geom%xyz_i,message0)
201	CALL transfert_message(geom%xyz_i,message1)
202
203	DO ind=1,ndomain
204	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master) CYCLE
205	CALL swap_dimensions(ind)
206	CALL swap_geometry(ind)
207	DO j=jj_begin,jj_end
208	DO i=ii_begin,ii_end
209	n=(j-1)*iim+i
210	DO k=0,5
211	x1(:) = xyz_i(n+t_pos(k+1),:)
212	x2(:) = xyz_i(n+t_pos(MOD(k+1,6)+1),:)
213	if (norm(x1-x2)<1e-16) x2(:) = xyz_i(n+t_pos(MOD(k+2,6)+1),:)
214	CALL circumcenter(xyz_i(n,:), x1, x2, xyz_v(n+z_pos(k+1),:))
215	ENDDO
216	ENDDO
217	ENDDO
218	ENDDO
219
220	END SUBROUTINE update_circumcenters
221
222	SUBROUTINE remap_schmidt_loc
223	USE spherical_geom_mod
224	USE getin_mod
225	USE omp_para
226	USE domain_mod
227	USE dimensions
228	IMPLICIT NONE
229	INTEGER :: ind,i,j,n
230	REAL(rstd) :: schmidt_factor, schmidt_lon, schmidt_lat
231
232	! Schmidt transform parameters
233	schmidt_factor = 1.
234	CALL getin('schmidt_factor', schmidt_factor)
235	schmidt_factor = schmidt_factor**2.
236
237	schmidt_lon = 0.
238	CALL getin('schmidt_lon', schmidt_lon)
239	schmidt_lon = schmidt_lon * pi/180.
240
241	schmidt_lat = 45.
242	CALL getin('schmidt_lat', schmidt_lat)
243	schmidt_lat = schmidt_lat * pi/180.
244
245	DO ind=1,ndomain
246	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master) CYCLE
247	CALL swap_dimensions(ind)
248	CALL swap_geometry(ind)
249	DO j=jj_begin,jj_end
250	DO i=ii_begin,ii_end
251	n=(j-1)*iim+i
252	CALL schmidt_transform(xyz_i(n,:), schmidt_factor, schmidt_lon, schmidt_lat)
253	ENDDO
254	ENDDO
255	ENDDO
256	END SUBROUTINE remap_schmidt_loc
257
258	SUBROUTINE optimize_geometry
259	USE metric
260	USE spherical_geom_mod
261	USE domain_mod
262	USE dimensions
263	USE transfert_mod
264	USE vector
265	USE getin_mod
266	USE omp_para
267	IMPLICIT NONE
268	INTEGER :: nb_it=0
269	TYPE(t_domain),POINTER :: d
270	INTEGER :: ind,it,i,j,n,k
271	REAL(rstd) :: x1(3),x2(3)
272	REAL(rstd) :: vect(3,6)
273	REAL(rstd) :: centr(3)
274	REAL(rstd) :: sum
275	LOGICAL :: check
276
277
278	CALL getin('optim_it',nb_it)
279
280	DO ind=1,ndomain
281	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master) CYCLE
282	d=>domain(ind)
283	CALL swap_dimensions(ind)
284	CALL swap_geometry(ind)
285	xyz_i(:,1) = 0 ; xyz_i(:,2) = 0 ; xyz_i(:,3) = 1
286
287	DO j=jj_begin,jj_end
288	DO i=ii_begin,ii_end
289	n=(j-1)*iim+i
290	xyz_i(n,:)=d%xyz(:,i,j)
291	ENDDO
292	ENDDO
293	ENDDO
294
295	CALL update_circumcenters
296
297	DO ind=1,ndomain
298	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master ) CYCLE
299	d=>domain(ind)
300	CALL swap_dimensions(ind)
301	CALL swap_geometry(ind)
302	DO j=jj_begin,jj_end
303	DO i=ii_begin,ii_end
304	n=(j-1)*iim+i
305	DO k=0,5
306	x1(:) = xyz_v(n+z_pos(k+1),:)
307	x2(:) = d%vertex(:,k,i,j)
308	IF (norm(x1-x2)>1e-10) THEN
309	PRINT*,"vertex diff ",ind,i,j,k
310	PRINT*,x1
311	PRINT*,x2
312	ENDIF
313	ENDDO
314	ENDDO
315	ENDDO
316	ENDDO
317
318
319	DO it=1,nb_it
320	IF (MOD(it,100)==0) THEN
321	check=is_master
322	ELSE
323	check=.FALSE.
324	ENDIF
325
326	sum=0
327	DO ind=1,ndomain
328	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master ) CYCLE
329	CALL swap_dimensions(ind)
330	CALL swap_geometry(ind)
331	DO j=jj_begin,jj_end
332	DO i=ii_begin,ii_end
333	n=(j-1)*iim+i
334	vect(:,1)=xyz_v(n+z_rup,:)
335	vect(:,2)=xyz_v(n+z_up,:)
336	vect(:,3)=xyz_v(n+z_lup,:)
337	vect(:,4)=xyz_v(n+z_ldown,:)
338	vect(:,5)=xyz_v(n+z_down,:)
339	vect(:,6)=xyz_v(n+z_rdown,:)
340	CALL compute_centroid(vect,6,centr)
341	IF (check) THEN
342	sum=MAX(sum,norm(xyz_i(n,:)-centr(:)))
343	ENDIF
344	xyz_i(n,:)=centr(:)
345	ENDDO
346	ENDDO
347
348	ENDDO
349
350	IF (check) PRINT *,"it = ",it," diff centroid circumcenter ",sum
351
352	CALL update_circumcenters
353
354	ENDDO
355
356	END SUBROUTINE optimize_geometry
357
358	SUBROUTINE update_domain
359	! copy position of generators and vertices back into domain(:)%xyz/vertex
360	! so that XIOS/create_header_gen gets the right values
361	USE omp_para
362	USE dimensions
363	USE domain_mod
364	USE transfert_mpi_mod
365
366	INTEGER :: ind,i,j,k,n
367	TYPE(t_domain),POINTER :: d
368	TYPE(t_field),POINTER,SAVE :: xyz_glo(:), xyz_loc(:), vertex_glo(:), vertex_loc(:)
369	REAL(rstd), POINTER :: xyz(:,:), vertex(:,:)
370
371	CALL allocate_field(xyz_loc, field_t, type_real, 3)
372	CALL allocate_field(vertex_loc, field_z, type_real, 3)
373
374	DO ind=1,ndomain
375	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master ) CYCLE
376	CALL swap_dimensions(ind)
377	CALL swap_geometry(ind)
378	xyz = xyz_loc(ind)
379	xyz(:,:) = xyz_i(:,:)
380	vertex = vertex_loc(ind)
381	vertex(:,:) = xyz_v(:,:)
382	END DO
383
384	!$OMP BARRIER
385	!$OMP MASTER
386	CALL allocate_field_glo(xyz_glo, field_t, type_real, 3)
387	CALL allocate_field_glo(vertex_glo, field_z, type_real, 3)
388
389	CALL gather_field(xyz_loc, xyz_glo)
390	CALL gather_field(vertex_loc, vertex_glo)
391
392	CALL bcast_field(xyz_glo)
393	CALL bcast_field(vertex_glo)
394
395	DO ind=1,ndomain_glo
396	d=>domain_glo(ind)
397	xyz = xyz_glo(ind)
398	vertex = vertex_glo(ind)
399	DO j=d%jj_begin,d%jj_end
400	DO i=d%ii_begin,d%ii_end
401	n=(j-1)*d%iim+i
402	d%xyz(:,i,j)=xyz(n,:)
403	DO k=0,5
404	d%vertex(:,k,i,j) = vertex(n+d%z_pos(k+1),:)
405	END DO
406	END DO
407	END DO
408	END DO
409
410	CALL deallocate_field_glo(vertex_glo)
411	CALL deallocate_field_glo(xyz_glo)
412	!$OMP END MASTER
413	!$OMP BARRIER
414	CALL deallocate_field(vertex_loc)
415	CALL deallocate_field(xyz_loc)
416
417	END SUBROUTINE update_domain
418
419	SUBROUTINE set_geometry
420	USE metric
421	USE vector
422	USE spherical_geom_mod
423	USE domain_mod
424	USE dimensions
425	USE transfert_mod
426	USE getin_mod
427	USE omp_para
428	IMPLICIT NONE
429
430	REAL(rstd) :: surf(6)
431	REAL(rstd) :: surf_v(6)
432	REAL(rstd) :: vect(3,6)
433	REAL(rstd) :: centr(3)
434	REAL(rstd) :: vet(3),vep(3), vertex(3)
435	INTEGER :: ind,i,j,k,n
436	TYPE(t_domain),POINTER :: d
437	REAL(rstd) :: S12
438	REAL(rstd) :: w(6)
439	REAL(rstd) :: lon,lat
440	INTEGER :: ii_glo,jj_glo
441	REAL(rstd) :: S
442
443
444	CALL optimize_geometry
445	CALL remap_schmidt_loc
446	CALL update_circumcenters
447	! copy position of generators and vertices back into domain(:)%xyz/vertex
448	! so that XIOS gets the right values
449	CALL update_domain
450
451	DO ind=1,ndomain
452	IF (.NOT. assigned_domain(ind) .OR. .NOT. is_omp_level_master ) CYCLE
453	d=>domain(ind)
454	CALL swap_dimensions(ind)
455	CALL swap_geometry(ind)
456	lon_i(:)=0 ; lat_i(:)=0
457	lon_e(:)=0 ; lat_e(:)=0
458	DO j=jj_begin-1,jj_end+1
459	DO i=ii_begin-1,ii_end+1
460	n=(j-1)*iim+i
461
462	DO k=0,5
463	ne(n,k+1)=d%ne(k,i,j)
464	ENDDO
465
466	vect(:,1)=xyz_v(n+z_rup,:)
467	vect(:,2)=xyz_v(n+z_up,:)
468	vect(:,3)=xyz_v(n+z_lup,:)
469	vect(:,4)=xyz_v(n+z_ldown,:)
470	vect(:,5)=xyz_v(n+z_down,:)
471	vect(:,6)=xyz_v(n+z_rdown,:)
472	CALL compute_centroid(vect,6,centr)
473	centroid(n,:)=centr(:)
474
475
476	CALL xyz2lonlat(xyz_v(n+z_up,:),lon,lat)
477	fv(n+z_up)=2sin(lat)omega
478	CALL xyz2lonlat(xyz_v(n+z_down,:),lon,lat)
479	fv(n+z_down)=2sin(lat)omega
480
481	bi(n)=0.
482
483	CALL dist_cart(xyz_i(n,:),xyz_i(n+t_right,:),de(n+u_right))
484	CALL dist_cart(xyz_i(n,:),xyz_i(n+t_lup,:),de(n+u_lup))
485	CALL dist_cart(xyz_i(n,:),xyz_i(n+t_ldown,:),de(n+u_ldown))
486
487	CALL div_arc_bis(xyz_i(n,:),xyz_i(n+t_right,:),0.5,xyz_e(n+u_right,:))
488	CALL div_arc_bis(xyz_i(n,:),xyz_i(n+t_lup,:),0.5,xyz_e(n+u_lup,:))
489	CALL div_arc_bis(xyz_i(n,:),xyz_i(n+t_ldown,:),0.5,xyz_e(n+u_ldown,:))
490
491	CALL dist_cart(xyz_v(n+z_rdown,:), xyz_v(n+z_rup,:),le(n+u_right))
492	CALL dist_cart(xyz_v(n+z_up,:), xyz_v(n+z_lup,:),le(n+u_lup))
493	CALL dist_cart(xyz_v(n+z_ldown,:), xyz_v(n+z_down,:),le(n+u_ldown))
494
495	le_de(n+u_right)=le(n+u_right)/de(n+u_right) ! NaN possible but should be harmless
496	le_de(n+u_lup) =le(n+u_lup) /de(n+u_lup)
497	le_de(n+u_ldown)=le(n+u_ldown)/de(n+u_ldown)
498
499	Ai(n)=0
500	DO k=0,5
501	CALL surf_triangle(xyz_i(n,:),xyz_i(n+t_pos(k+1),:),xyz_i(n+t_pos(MOD((k+1+6),6)+1),:),surf_v(k+1))
502	CALL surf_triangle(xyz_i(n,:),xyz_v(n+z_pos(MOD((k-1+6),6)+1),:),xyz_v(n+z_pos(k+1),:),surf(k+1))
503	Ai(n)=Ai(n)+surf(k+1)
504	IF (i==ii_end .AND. j==jj_begin) THEN
505	IF (Ai(n)<1e20) THEN
506	ELSE
507	PRINT *,"PB !!",Ai(n),k,surf(k+1)
508	PRINT*,xyz_i(n,:),xyz_v(n+z_pos(MOD((k-1+6),6)+1),:),xyz_v(n+z_pos(k+1),:)
509	ENDIF
510	ENDIF
511	ENDDO
512
513	! Sign convention : Ringler et al., JCP 2010, eq. 21 p. 3071
514	! Normal component is along outgoing normal vector if ne=1
515
516	CALL cross_product2(xyz_v(n+z_rdown,:),xyz_v(n+z_rup,:),vep)
517	IF (norm(vep)>1e-30) THEN
518	vep(:)=vep(:)/norm(vep) ! Inward normal vector
519	CALL cross_product2(vep,xyz_e(n+u_right,:),vet) ! Counter-clockwise tangent vector
520	vet(:)=vet(:)/norm(vet)
521	ep_e(n+u_right,:)=-vep(:)*ne(n,right)
522	et_e(n+u_right,:)=vet(:)*ne(n,right)
523	ENDIF
524
525	CALL cross_product2(xyz_v(n+z_up,:),xyz_v(n+z_lup,:),vep)
526	IF (norm(vep)>1e-30) THEN
527	vep(:)=vep(:)/norm(vep)
528	CALL cross_product2(vep,xyz_e(n+u_lup,:),vet)
529	vet(:)=vet(:)/norm(vet)
530	ep_e(n+u_lup,:)=-vep(:)*ne(n,lup)
531	et_e(n+u_lup,:)=vet(:)*ne(n,lup)
532	ENDIF
533
534	CALL cross_product2(xyz_v(n+z_ldown,:),xyz_v(n+z_down,:),vep)
535	IF (norm(vep)>1e-30) THEN
536	vep(:)=vep(:)/norm(vep)
537	CALL cross_product2(vep,xyz_e(n+u_ldown,:),vet)
538	vet(:)=vet(:)/norm(vet)
539	ep_e(n+u_ldown,:)=-vep(:)*ne(n,ldown)
540	et_e(n+u_ldown,:)=vet(:)*ne(n,ldown)
541	ENDIF
542
543	CALL xyz2lonlat(xyz_i(n,:),lon,lat)
544	lon_i(n)=lon
545	lat_i(n)=lat
546	elon_i(n,1) = -sin(lon)
547	elon_i(n,2) = cos(lon)
548	elon_i(n,3) = 0
549	elat_i(n,1) = -cos(lon)*sin(lat)
550	elat_i(n,2) = -sin(lon)*sin(lat)
551	elat_i(n,3) = cos(lat)
552
553
554	CALL xyz2lonlat(xyz_e(n+u_right,:),lon,lat)
555	lon_e(n+u_right)=lon
556	lat_e(n+u_right)=lat
557	elon_e(n+u_right,1) = -sin(lon)
558	elon_e(n+u_right,2) = cos(lon)
559	elon_e(n+u_right,3) = 0
560	elat_e(n+u_right,1) = -cos(lon)*sin(lat)
561	elat_e(n+u_right,2) = -sin(lon)*sin(lat)
562	elat_e(n+u_right,3) = cos(lat)
563
564	CALL xyz2lonlat(xyz_e(n+u_lup,:),lon,lat)
565	lon_e(n+u_lup)=lon
566	lat_e(n+u_lup)=lat
567	elon_e(n+u_lup,1) = -sin(lon)
568	elon_e(n+u_lup,2) = cos(lon)
569	elon_e(n+u_lup,3) = 0
570	elat_e(n+u_lup,1) = -cos(lon)*sin(lat)
571	elat_e(n+u_lup,2) = -sin(lon)*sin(lat)
572	elat_e(n+u_lup,3) = cos(lat)
573
574	CALL xyz2lonlat(xyz_e(n+u_ldown,:),lon,lat)
575	lon_e(n+u_ldown)=lon
576	lat_e(n+u_ldown)=lat
577	elon_e(n+u_ldown,1) = -sin(lon)
578	elon_e(n+u_ldown,2) = cos(lon)
579	elon_e(n+u_ldown,3) = 0
580	elat_e(n+u_ldown,1) = -cos(lon)*sin(lat)
581	elat_e(n+u_ldown,2) = -sin(lon)*sin(lat)
582	elat_e(n+u_ldown,3) = cos(lat)
583
584
585	DO k=0,5
586	CALL surf_triangle(xyz_i(n,:), xyz_v(n+z_pos(k+1),:), xyz_i(n+t_pos(k+1),:),S1(n,k+1) )
587	CALL surf_triangle(xyz_i(n,:), xyz_v(n+z_pos(k+1),:), xyz_i(n+t_pos(MOD(k+1+6,6)+1),:),S2(n,k+1) )
588	S12 = .5*(S1(n,k+1)+S2(n,k+1))
589	Riv(n,k+1)=S12/Ai(n)
590	Riv2(n,k+1)=S12/surf_v(k+1)
591	ENDDO
592
593	DO k=1,6
594	IF (ABS(surf_v(k))<1e-30) THEN
595	Riv(n,k)=0.
596	ENDIF
597	ENDDO
598
599	Av(n+z_up)=surf_v(vup)+1e-100
600	Av(n+z_down)=surf_v(vdown)+1e-100
601
602	ENDDO
603	ENDDO
604
605	DO j=jj_begin,jj_end
606	DO i=ii_begin,ii_end
607	n=(j-1)*iim+i
608
609	CALL compute_wee(n,right,w)
610	Wee(n+u_right,:,1)=w(1:5)
611
612	CALL compute_wee(n+t_right,left,w)
613	Wee(n+u_right,:,2)=w(1:5)
614
615
616	CALL compute_wee(n,lup,w)
617	Wee(n+u_lup,:,1)=w(1:5)
618
619	CALL compute_wee(n+t_lup,rdown,w)
620	Wee(n+u_lup,:,2)=w(1:5)
621
622
623	CALL compute_wee(n,ldown,w)
624	Wee(n+u_ldown,:,1)=w(1:5)
625
626	CALL compute_wee(n+t_ldown,rup,w)
627	Wee(n+u_ldown,:,2)=w(1:5)
628
629	ENDDO
630	ENDDO
631
632	DO j=jj_begin,jj_end
633	DO i=ii_begin,ii_end
634	n=(j-1)*iim+i
635	ii_glo=d%ii_begin_glo-d%ii_begin+i
636	jj_glo=d%jj_begin_glo-d%jj_begin+j
637
638	IF (ii_glo==1 .AND. jj_glo==1) THEN
639	le(n+u_ldown)=0
640	le_de(n+u_ldown)=0
641	xyz_v(n+z_ldown,:)=xyz_v(n+z_down,:)
642
643	ENDIF
644
645	IF (ii_glo==iim_glo .AND. jj_glo==1) THEN
646	le(n+u_right)=0
647	le_de(n+u_right)=0
648	xyz_v(n+z_rdown,:)=xyz_v(n+z_rup,:)
649	ENDIF
650
651	IF (ii_glo==iim_glo .AND. jj_glo==jjm_glo) THEN
652	le(n+u_rup)=0
653	le_de(n+u_rup)=0
654	xyz_v(n+z_rup,:)=xyz_v(n+z_up,:)
655	ENDIF
656
657	IF (ii_glo==1 .AND. jj_glo==jjm_glo) THEN
658	le(n+u_lup)=0
659	le_de(n+u_lup)=0
660	xyz_v(n+z_up,:)=xyz_v(n+z_lup,:)
661	ENDIF
662
663	ENDDO
664	ENDDO
665
666	DO j=jj_begin-1,jj_end+1
667	DO i=ii_begin-1,ii_end+1
668	n=(j-1)*iim+i
669	xyz_i(n,:)=xyz_i(n,:) * radius
670	xyz_v(n+z_up,:)=xyz_v(n+z_up,:) * radius
671	xyz_v(n+z_down,:)=xyz_v(n+z_down,:) *radius
672	de(n+u_right)=de(n+u_right) * radius
673	de(n+u_lup)=de(n+u_lup)*radius
674	de(n+u_ldown)=de(n+u_ldown)*radius
675	xyz_e(n+u_right,:)=xyz_e(n+u_right,:)*radius
676	xyz_e(n+u_lup,:)=xyz_e(n+u_lup,:)*radius
677	xyz_e(n+u_ldown,:)=xyz_e(n+u_ldown,:)*radius
678	le(n+u_right)=le(n+u_right)*radius
679	le(n+u_lup)=le(n+u_lup)*radius
680	le(n+u_ldown)=le(n+u_ldown)*radius
681	Ai(n)=Ai(n)radius*2
682	Av(n+z_up)=Av(n+z_up)radius*2
683	Av(n+z_down)=Av(n+z_down)radius*2
684	ENDDO
685	ENDDO
686
687	ENDDO
688
689	CALL transfert_request(geom%Ai,req_i1)
690	CALL transfert_request(geom%centroid,req_i1)
691
692	! CALL surf_triangle(d%xyz(:,ii_begin,jj_begin),d%xyz(:,ii_begin,jj_end),d%xyz(:,ii_end,jj_begin),S)
693
694	END SUBROUTINE set_geometry
695
696	SUBROUTINE compute_wee(n,pos,w)
697	IMPLICIT NONE
698	INTEGER,INTENT(IN) :: n
699	INTEGER,INTENT(IN) :: pos
700	REAL(rstd),INTENT(OUT) ::w(6)
701
702	REAL(rstd) :: ne_(0:5)
703	REAL(rstd) :: Riv_(6)
704	INTEGER :: k
705
706
707	DO k=0,5
708	ne_(k)=ne(n,MOD(pos-1+k+6,6)+1)
709	Riv_(k+1)=Riv(n,MOD(pos-1+k+6,6)+1)
710	ENDDO
711
712	w(1)=-ne_(0)ne_(1)(Riv_(1)-0.5)
713	w(2)=-ne_(2)(ne_(0)Riv_(2)-w(1)*ne_(1))
714	w(3)=-ne_(3)(ne_(0)Riv_(3)-w(2)*ne_(2))
715	w(4)=-ne_(4)(ne_(0)Riv_(4)-w(3)*ne_(3))
716	w(5)=-ne_(5)(ne_(0)Riv_(5)-w(4)*ne_(4))
717	w(6)=ne_(0)ne_(5)(Riv_(6)-0.5)
718
719	! IF ( ABS(w(5)-w(6))>1e-20) PRINT *, "pb pour wee : w(5)!=w(6)",sum(Riv_(:))
720
721	END SUBROUTINE compute_wee
722
723
724
725	SUBROUTINE compute_geometry
726	IMPLICIT NONE
727	CALL allocate_geometry
728	CALL set_geometry
729
730	END SUBROUTINE compute_geometry
731
732	END MODULE geometry

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