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source: codes/icosagcm/trunk/src/geometry.f90 @ 367

Last change on this file since 367 was 362, checked in by dubos, 9 years ago
Introduced DEC convention for velocity - HEVI only - cleanup to follow
File size: 20.9 KB

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

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