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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1152

Last change on this file since 1152 was 1116, checked in by hoffmann, 12 years ago
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1	SUBROUTINE boundary_conds
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2012 Leibniz University Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 1116 2013-03-26 18:49:55Z witha $
27	!
28	! 1115 2013-03-26 18:16:16Z hoffmann
29	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
30	! boundary-conditions
31	!
32	! 1113 2013-03-10 02:48:14Z raasch
33	! GPU-porting
34	! dummy argument "range" removed
35	! Bugfix: wrong index in loops of radiation boundary condition
36	!
37	! 1053 2012-11-13 17:11:03Z hoffmann
38	! boundary conditions for the two new prognostic equations (nr, qr) of the
39	! two-moment cloud scheme
40	!
41	! 1036 2012-10-22 13:43:42Z raasch
42	! code put under GPL (PALM 3.9)
43	!
44	! 996 2012-09-07 10:41:47Z raasch
45	! little reformatting
46	!
47	! 978 2012-08-09 08:28:32Z fricke
48	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
49	! Outflow boundary conditions for the velocity components can be set to Neumann
50	! conditions or to radiation conditions with a horizontal averaged phase
51	! velocity.
52	!
53	! 875 2012-04-02 15:35:15Z gryschka
54	! Bugfix in case of dirichlet inflow bc at the right or north boundary
55	!
56	! 767 2011-10-14 06:39:12Z raasch
57	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
58	!
59	! 667 2010-12-23 12:06:00Z suehring/gryschka
60	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
61	! Removed mirror boundary conditions for u and v at the bottom in case of
62	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
63	! in init_3d_model
64	!
65	! 107 2007-08-17 13:54:45Z raasch
66	! Boundary conditions for temperature adjusted for coupled runs,
67	! bugfixes for the radiation boundary conditions at the outflow: radiation
68	! conditions are used for every substep, phase speeds are calculated for the
69	! first Runge-Kutta substep only and then reused, several index values changed
70	!
71	! 95 2007-06-02 16:48:38Z raasch
72	! Boundary conditions for salinity added
73	!
74	! 75 2007-03-22 09:54:05Z raasch
75	! The "main" part sets conditions for time level t+dt instead of level t,
76	! outflow boundary conditions changed from Neumann to radiation condition,
77	! uxrp, vynp eliminated, moisture renamed humidity
78	!
79	! 19 2007-02-23 04:53:48Z raasch
80	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
81	! gridpoints are now calculated by the prognostic equation,
82	! Dirichlet and zero gradient condition for pt established at top boundary
83	!
84	! RCS Log replace by Id keyword, revision history cleaned up
85	!
86	! Revision 1.15 2006/02/23 09:54:55 raasch
87	! Surface boundary conditions in case of topography: nzb replaced by
88	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
89	! unchanged (still using nzb) because a non-flat topography must use a
90	! Prandtl-layer, which don't requires explicit setting of the surface values.
91	!
92	! Revision 1.1 1997/09/12 06:21:34 raasch
93	! Initial revision
94	!
95	!
96	! Description:
97	! ------------
98	! Boundary conditions for the prognostic quantities (range='main').
99	! In case of non-cyclic lateral boundaries the conditions for velocities at
100	! the outflow are set after the pressure solver has been called (range=
101	! 'outflow_uvw').
102	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
103	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
104	! handled in routine exchange_horiz. Pressure boundary conditions are
105	! explicitly set in routines pres, poisfft, poismg and sor.
106	!------------------------------------------------------------------------------!
107
108	USE arrays_3d
109	USE control_parameters
110	USE grid_variables
111	USE indices
112	USE pegrid
113
114	IMPLICIT NONE
115
116	INTEGER :: i, j, k
117
118	REAL :: c_max, denom
119
120
121	!
122	!-- Bottom boundary
123	IF ( ibc_uv_b == 1 ) THEN
124	!$acc kernels present( u_p, v_p )
125	u_p(nzb,:,:) = u_p(nzb+1,:,:)
126	v_p(nzb,:,:) = v_p(nzb+1,:,:)
127	!$acc end kernels
128	ENDIF
129
130	!$acc kernels present( nzb_w_inner, w_p )
131	DO i = nxlg, nxrg
132	DO j = nysg, nyng
133	w_p(nzb_w_inner(j,i),j,i) = 0.0
134	ENDDO
135	ENDDO
136	!$acc end kernels
137
138	!
139	!-- Top boundary
140	IF ( ibc_uv_t == 0 ) THEN
141	!$acc kernels present( u_init, u_p, v_init, v_p )
142	u_p(nzt+1,:,:) = u_init(nzt+1)
143	v_p(nzt+1,:,:) = v_init(nzt+1)
144	!$acc end kernels
145	ELSE
146	!$acc kernels present( u_p, v_p )
147	u_p(nzt+1,:,:) = u_p(nzt,:,:)
148	v_p(nzt+1,:,:) = v_p(nzt,:,:)
149	!$acc end kernels
150	ENDIF
151	!$acc kernels present( w_p )
152	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
153	!$acc end kernels
154
155	!
156	!-- Temperature at bottom boundary.
157	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
158	!-- the sea surface temperature of the coupled ocean model.
159	IF ( ibc_pt_b == 0 ) THEN
160	!$acc kernels present( nzb_s_inner, pt, pt_p )
161	DO i = nxlg, nxrg
162	DO j = nysg, nyng
163	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
164	ENDDO
165	ENDDO
166	!$acc end kernels
167	ELSEIF ( ibc_pt_b == 1 ) THEN
168	!$acc kernels present( nzb_s_inner, pt_p )
169	DO i = nxlg, nxrg
170	DO j = nysg, nyng
171	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
172	ENDDO
173	ENDDO
174	!$acc end kernels
175	ENDIF
176
177	!
178	!-- Temperature at top boundary
179	IF ( ibc_pt_t == 0 ) THEN
180	!$acc kernels present( pt, pt_p )
181	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
182	!$acc end kernels
183	ELSEIF ( ibc_pt_t == 1 ) THEN
184	!$acc kernels present( pt_p )
185	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
186	!$acc end kernels
187	ELSEIF ( ibc_pt_t == 2 ) THEN
188	!$acc kernels present( dzu, pt_p )
189	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
190	!$acc end kernels
191	ENDIF
192
193	!
194	!-- Boundary conditions for TKE
195	!-- Generally Neumann conditions with de/dz=0 are assumed
196	IF ( .NOT. constant_diffusion ) THEN
197	!$acc kernels present( e_p, nzb_s_inner )
198	DO i = nxlg, nxrg
199	DO j = nysg, nyng
200	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
201	ENDDO
202	ENDDO
203	e_p(nzt+1,:,:) = e_p(nzt,:,:)
204	!$acc end kernels
205	ENDIF
206
207	!
208	!-- Boundary conditions for salinity
209	IF ( ocean ) THEN
210	!
211	!-- Bottom boundary: Neumann condition because salinity flux is always
212	!-- given
213	DO i = nxlg, nxrg
214	DO j = nysg, nyng
215	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
216	ENDDO
217	ENDDO
218
219	!
220	!-- Top boundary: Dirichlet or Neumann
221	IF ( ibc_sa_t == 0 ) THEN
222	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
223	ELSEIF ( ibc_sa_t == 1 ) THEN
224	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
225	ENDIF
226
227	ENDIF
228
229	!
230	!-- Boundary conditions for total water content or scalar,
231	!-- bottom and top boundary (see also temperature)
232	IF ( humidity .OR. passive_scalar ) THEN
233	!
234	!-- Surface conditions for constant_humidity_flux
235	IF ( ibc_q_b == 0 ) THEN
236	DO i = nxlg, nxrg
237	DO j = nysg, nyng
238	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
239	ENDDO
240	ENDDO
241	ELSE
242	DO i = nxlg, nxrg
243	DO j = nysg, nyng
244	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
245	ENDDO
246	ENDDO
247	ENDIF
248	!
249	!-- Top boundary
250	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
251
252	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
253	precipitation ) THEN
254	!
255	!-- Surface conditions rain water (Neumann)
256	DO i = nxlg, nxrg
257	DO j = nysg, nyng
258	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
259	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
260	ENDDO
261	ENDDO
262	!
263	!-- Top boundary condition for rain water (Neumann)
264	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
265	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
266
267	ENDIF
268	!
269	!-- In case of inflow at the south boundary the boundary for v is at nys
270	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
271	!-- Since in prognostic_equations (cache optimized version) these levels are
272	!-- handled as a prognostic level, boundary values have to be restored here.
273	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
274	IF ( inflow_s ) THEN
275	v_p(:,nys,:) = v_p(:,nys-1,:)
276	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
277	ELSEIF ( inflow_n ) THEN
278	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
279	ELSEIF ( inflow_l ) THEN
280	u_p(:,:,nxl) = u_p(:,:,nxl-1)
281	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
282	ELSEIF ( inflow_r ) THEN
283	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
284	ENDIF
285
286	!
287	!-- Lateral boundary conditions for scalar quantities at the outflow
288	IF ( outflow_s ) THEN
289	pt_p(:,nys-1,:) = pt_p(:,nys,:)
290	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
291	IF ( humidity .OR. passive_scalar ) THEN
292	q_p(:,nys-1,:) = q_p(:,nys,:)
293	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
294	precipitation) THEN
295	qr_p(:,nys-1,:) = qr_p(:,nys,:)
296	nr_p(:,nys-1,:) = nr_p(:,nys,:)
297	ENDIF
298	ENDIF
299	ELSEIF ( outflow_n ) THEN
300	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
301	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
302	IF ( humidity .OR. passive_scalar ) THEN
303	q_p(:,nyn+1,:) = q_p(:,nyn,:)
304	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
305	precipitation ) THEN
306	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
307	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
308	ENDIF
309	ENDIF
310	ELSEIF ( outflow_l ) THEN
311	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
312	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
313	IF ( humidity .OR. passive_scalar ) THEN
314	q_p(:,:,nxl-1) = q_p(:,:,nxl)
315	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
316	precipitation ) THEN
317	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
318	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
319	ENDIF
320	ENDIF
321	ELSEIF ( outflow_r ) THEN
322	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
323	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
324	IF ( humidity .OR. passive_scalar ) THEN
325	q_p(:,:,nxr+1) = q_p(:,:,nxr)
326	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
327	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
328	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
329	ENDIF
330	ENDIF
331	ENDIF
332
333	ENDIF
334
335	!
336	!-- Neumann or Radiation boundary condition for the velocities at the
337	!-- respective outflow
338	IF ( outflow_s ) THEN
339
340	IF ( bc_ns_dirneu ) THEN
341	u(:,-1,:) = u(:,0,:)
342	v(:,0,:) = v(:,1,:)
343	w(:,-1,:) = w(:,0,:)
344	ELSEIF ( bc_ns_dirrad ) THEN
345
346	c_max = dy / dt_3d
347
348	c_u_m_l = 0.0
349	c_v_m_l = 0.0
350	c_w_m_l = 0.0
351
352	c_u_m = 0.0
353	c_v_m = 0.0
354	c_w_m = 0.0
355
356	!
357	!-- Calculate the phase speeds for u, v, and w, first local and then
358	!-- average along the outflow boundary.
359	DO k = nzb+1, nzt+1
360	DO i = nxl, nxr
361
362	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
363
364	IF ( denom /= 0.0 ) THEN
365	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
366	IF ( c_u(k,i) < 0.0 ) THEN
367	c_u(k,i) = 0.0
368	ELSEIF ( c_u(k,i) > c_max ) THEN
369	c_u(k,i) = c_max
370	ENDIF
371	ELSE
372	c_u(k,i) = c_max
373	ENDIF
374
375	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
376
377	IF ( denom /= 0.0 ) THEN
378	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
379	IF ( c_v(k,i) < 0.0 ) THEN
380	c_v(k,i) = 0.0
381	ELSEIF ( c_v(k,i) > c_max ) THEN
382	c_v(k,i) = c_max
383	ENDIF
384	ELSE
385	c_v(k,i) = c_max
386	ENDIF
387
388	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
389
390	IF ( denom /= 0.0 ) THEN
391	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
392	IF ( c_w(k,i) < 0.0 ) THEN
393	c_w(k,i) = 0.0
394	ELSEIF ( c_w(k,i) > c_max ) THEN
395	c_w(k,i) = c_max
396	ENDIF
397	ELSE
398	c_w(k,i) = c_max
399	ENDIF
400
401	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
402	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
403	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
404
405	ENDDO
406	ENDDO
407
408	#if defined( __parallel )
409	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
410	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
411	MPI_SUM, comm1dx, ierr )
412	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
413	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
414	MPI_SUM, comm1dx, ierr )
415	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
416	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
417	MPI_SUM, comm1dx, ierr )
418	#else
419	c_u_m = c_u_m_l
420	c_v_m = c_v_m_l
421	c_w_m = c_w_m_l
422	#endif
423
424	c_u_m = c_u_m / (nx+1)
425	c_v_m = c_v_m / (nx+1)
426	c_w_m = c_w_m / (nx+1)
427
428	!
429	!-- Save old timelevels for the next timestep
430	IF ( intermediate_timestep_count == 1 ) THEN
431	u_m_s(:,:,:) = u(:,0:1,:)
432	v_m_s(:,:,:) = v(:,1:2,:)
433	w_m_s(:,:,:) = w(:,0:1,:)
434	ENDIF
435
436	!
437	!-- Calculate the new velocities
438	DO k = nzb+1, nzt+1
439	DO i = nxlg, nxrg
440	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
441	( u(k,-1,i) - u(k,0,i) ) * ddy
442
443	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
444	( v(k,0,i) - v(k,1,i) ) * ddy
445
446	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
447	( w(k,-1,i) - w(k,0,i) ) * ddy
448	ENDDO
449	ENDDO
450
451	!
452	!-- Bottom boundary at the outflow
453	IF ( ibc_uv_b == 0 ) THEN
454	u_p(nzb,-1,:) = 0.0
455	v_p(nzb,0,:) = 0.0
456	ELSE
457	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
458	v_p(nzb,0,:) = v_p(nzb+1,0,:)
459	ENDIF
460	w_p(nzb,-1,:) = 0.0
461
462	!
463	!-- Top boundary at the outflow
464	IF ( ibc_uv_t == 0 ) THEN
465	u_p(nzt+1,-1,:) = u_init(nzt+1)
466	v_p(nzt+1,0,:) = v_init(nzt+1)
467	ELSE
468	u_p(nzt+1,-1,:) = u(nzt,-1,:)
469	v_p(nzt+1,0,:) = v(nzt,0,:)
470	ENDIF
471	w_p(nzt:nzt+1,-1,:) = 0.0
472
473	ENDIF
474
475	ENDIF
476
477	IF ( outflow_n ) THEN
478
479	IF ( bc_ns_neudir ) THEN
480	u(:,ny+1,:) = u(:,ny,:)
481	v(:,ny+1,:) = v(:,ny,:)
482	w(:,ny+1,:) = w(:,ny,:)
483	ELSEIF ( bc_ns_dirrad ) THEN
484
485	c_max = dy / dt_3d
486
487	c_u_m_l = 0.0
488	c_v_m_l = 0.0
489	c_w_m_l = 0.0
490
491	c_u_m = 0.0
492	c_v_m = 0.0
493	c_w_m = 0.0
494
495	!
496	!-- Calculate the phase speeds for u, v, and w, first local and then
497	!-- average along the outflow boundary.
498	DO k = nzb+1, nzt+1
499	DO i = nxl, nxr
500
501	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
502
503	IF ( denom /= 0.0 ) THEN
504	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
505	IF ( c_u(k,i) < 0.0 ) THEN
506	c_u(k,i) = 0.0
507	ELSEIF ( c_u(k,i) > c_max ) THEN
508	c_u(k,i) = c_max
509	ENDIF
510	ELSE
511	c_u(k,i) = c_max
512	ENDIF
513
514	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
515
516	IF ( denom /= 0.0 ) THEN
517	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
518	IF ( c_v(k,i) < 0.0 ) THEN
519	c_v(k,i) = 0.0
520	ELSEIF ( c_v(k,i) > c_max ) THEN
521	c_v(k,i) = c_max
522	ENDIF
523	ELSE
524	c_v(k,i) = c_max
525	ENDIF
526
527	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
528
529	IF ( denom /= 0.0 ) THEN
530	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
531	IF ( c_w(k,i) < 0.0 ) THEN
532	c_w(k,i) = 0.0
533	ELSEIF ( c_w(k,i) > c_max ) THEN
534	c_w(k,i) = c_max
535	ENDIF
536	ELSE
537	c_w(k,i) = c_max
538	ENDIF
539
540	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
541	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
542	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
543
544	ENDDO
545	ENDDO
546
547	#if defined( __parallel )
548	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
549	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
550	MPI_SUM, comm1dx, ierr )
551	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
552	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
553	MPI_SUM, comm1dx, ierr )
554	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
555	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
556	MPI_SUM, comm1dx, ierr )
557	#else
558	c_u_m = c_u_m_l
559	c_v_m = c_v_m_l
560	c_w_m = c_w_m_l
561	#endif
562
563	c_u_m = c_u_m / (nx+1)
564	c_v_m = c_v_m / (nx+1)
565	c_w_m = c_w_m / (nx+1)
566
567	!
568	!-- Save old timelevels for the next timestep
569	IF ( intermediate_timestep_count == 1 ) THEN
570	u_m_n(:,:,:) = u(:,ny-1:ny,:)
571	v_m_n(:,:,:) = v(:,ny-1:ny,:)
572	w_m_n(:,:,:) = w(:,ny-1:ny,:)
573	ENDIF
574
575	!
576	!-- Calculate the new velocities
577	DO k = nzb+1, nzt+1
578	DO i = nxlg, nxrg
579	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
580	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
581
582	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
583	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
584
585	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
586	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
587	ENDDO
588	ENDDO
589
590	!
591	!-- Bottom boundary at the outflow
592	IF ( ibc_uv_b == 0 ) THEN
593	u_p(nzb,ny+1,:) = 0.0
594	v_p(nzb,ny+1,:) = 0.0
595	ELSE
596	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
597	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
598	ENDIF
599	w_p(nzb,ny+1,:) = 0.0
600
601	!
602	!-- Top boundary at the outflow
603	IF ( ibc_uv_t == 0 ) THEN
604	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
605	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
606	ELSE
607	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
608	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
609	ENDIF
610	w_p(nzt:nzt+1,ny+1,:) = 0.0
611
612	ENDIF
613
614	ENDIF
615
616	IF ( outflow_l ) THEN
617
618	IF ( bc_lr_neudir ) THEN
619	u(:,:,-1) = u(:,:,0)
620	v(:,:,0) = v(:,:,1)
621	w(:,:,-1) = w(:,:,0)
622	ELSEIF ( bc_ns_dirrad ) THEN
623
624	c_max = dx / dt_3d
625
626	c_u_m_l = 0.0
627	c_v_m_l = 0.0
628	c_w_m_l = 0.0
629
630	c_u_m = 0.0
631	c_v_m = 0.0
632	c_w_m = 0.0
633
634	!
635	!-- Calculate the phase speeds for u, v, and w, first local and then
636	!-- average along the outflow boundary.
637	DO k = nzb+1, nzt+1
638	DO j = nys, nyn
639
640	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
641
642	IF ( denom /= 0.0 ) THEN
643	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
644	IF ( c_u(k,j) < 0.0 ) THEN
645	c_u(k,j) = 0.0
646	ELSEIF ( c_u(k,j) > c_max ) THEN
647	c_u(k,j) = c_max
648	ENDIF
649	ELSE
650	c_u(k,j) = c_max
651	ENDIF
652
653	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
654
655	IF ( denom /= 0.0 ) THEN
656	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
657	IF ( c_v(k,j) < 0.0 ) THEN
658	c_v(k,j) = 0.0
659	ELSEIF ( c_v(k,j) > c_max ) THEN
660	c_v(k,j) = c_max
661	ENDIF
662	ELSE
663	c_v(k,j) = c_max
664	ENDIF
665
666	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
667
668	IF ( denom /= 0.0 ) THEN
669	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
670	IF ( c_w(k,j) < 0.0 ) THEN
671	c_w(k,j) = 0.0
672	ELSEIF ( c_w(k,j) > c_max ) THEN
673	c_w(k,j) = c_max
674	ENDIF
675	ELSE
676	c_w(k,j) = c_max
677	ENDIF
678
679	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
680	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
681	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
682
683	ENDDO
684	ENDDO
685
686	#if defined( __parallel )
687	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
688	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
689	MPI_SUM, comm1dy, ierr )
690	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
691	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
692	MPI_SUM, comm1dy, ierr )
693	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
694	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
695	MPI_SUM, comm1dy, ierr )
696	#else
697	c_u_m = c_u_m_l
698	c_v_m = c_v_m_l
699	c_w_m = c_w_m_l
700	#endif
701
702	c_u_m = c_u_m / (ny+1)
703	c_v_m = c_v_m / (ny+1)
704	c_w_m = c_w_m / (ny+1)
705
706	!
707	!-- Save old timelevels for the next timestep
708	IF ( intermediate_timestep_count == 1 ) THEN
709	u_m_l(:,:,:) = u(:,:,1:2)
710	v_m_l(:,:,:) = v(:,:,0:1)
711	w_m_l(:,:,:) = w(:,:,0:1)
712	ENDIF
713
714	!
715	!-- Calculate the new velocities
716	DO k = nzb+1, nzt+1
717	DO j = nysg, nyng
718	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
719	( u(k,j,0) - u(k,j,1) ) * ddx
720
721	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
722	( v(k,j,-1) - v(k,j,0) ) * ddx
723
724	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
725	( w(k,j,-1) - w(k,j,0) ) * ddx
726	ENDDO
727	ENDDO
728
729	!
730	!-- Bottom boundary at the outflow
731	IF ( ibc_uv_b == 0 ) THEN
732	u_p(nzb,:,0) = 0.0
733	v_p(nzb,:,-1) = 0.0
734	ELSE
735	u_p(nzb,:,0) = u_p(nzb+1,:,0)
736	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
737	ENDIF
738	w_p(nzb,:,-1) = 0.0
739
740	!
741	!-- Top boundary at the outflow
742	IF ( ibc_uv_t == 0 ) THEN
743	u_p(nzt+1,:,-1) = u_init(nzt+1)
744	v_p(nzt+1,:,-1) = v_init(nzt+1)
745	ELSE
746	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
747	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
748	ENDIF
749	w_p(nzt:nzt+1,:,-1) = 0.0
750
751	ENDIF
752
753	ENDIF
754
755	IF ( outflow_r ) THEN
756
757	IF ( bc_lr_dirneu ) THEN
758	u(:,:,nx+1) = u(:,:,nx)
759	v(:,:,nx+1) = v(:,:,nx)
760	w(:,:,nx+1) = w(:,:,nx)
761	ELSEIF ( bc_ns_dirrad ) THEN
762
763	c_max = dx / dt_3d
764
765	c_u_m_l = 0.0
766	c_v_m_l = 0.0
767	c_w_m_l = 0.0
768
769	c_u_m = 0.0
770	c_v_m = 0.0
771	c_w_m = 0.0
772
773	!
774	!-- Calculate the phase speeds for u, v, and w, first local and then
775	!-- average along the outflow boundary.
776	DO k = nzb+1, nzt+1
777	DO j = nys, nyn
778
779	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
780
781	IF ( denom /= 0.0 ) THEN
782	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
783	IF ( c_u(k,j) < 0.0 ) THEN
784	c_u(k,j) = 0.0
785	ELSEIF ( c_u(k,j) > c_max ) THEN
786	c_u(k,j) = c_max
787	ENDIF
788	ELSE
789	c_u(k,j) = c_max
790	ENDIF
791
792	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
793
794	IF ( denom /= 0.0 ) THEN
795	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
796	IF ( c_v(k,j) < 0.0 ) THEN
797	c_v(k,j) = 0.0
798	ELSEIF ( c_v(k,j) > c_max ) THEN
799	c_v(k,j) = c_max
800	ENDIF
801	ELSE
802	c_v(k,j) = c_max
803	ENDIF
804
805	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
806
807	IF ( denom /= 0.0 ) THEN
808	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
809	IF ( c_w(k,j) < 0.0 ) THEN
810	c_w(k,j) = 0.0
811	ELSEIF ( c_w(k,j) > c_max ) THEN
812	c_w(k,j) = c_max
813	ENDIF
814	ELSE
815	c_w(k,j) = c_max
816	ENDIF
817
818	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
819	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
820	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
821
822	ENDDO
823	ENDDO
824
825	#if defined( __parallel )
826	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
827	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
828	MPI_SUM, comm1dy, ierr )
829	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
830	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
831	MPI_SUM, comm1dy, ierr )
832	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
833	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
834	MPI_SUM, comm1dy, ierr )
835	#else
836	c_u_m = c_u_m_l
837	c_v_m = c_v_m_l
838	c_w_m = c_w_m_l
839	#endif
840
841	c_u_m = c_u_m / (ny+1)
842	c_v_m = c_v_m / (ny+1)
843	c_w_m = c_w_m / (ny+1)
844
845	!
846	!-- Save old timelevels for the next timestep
847	IF ( intermediate_timestep_count == 1 ) THEN
848	u_m_r(:,:,:) = u(:,:,nx-1:nx)
849	v_m_r(:,:,:) = v(:,:,nx-1:nx)
850	w_m_r(:,:,:) = w(:,:,nx-1:nx)
851	ENDIF
852
853	!
854	!-- Calculate the new velocities
855	DO k = nzb+1, nzt+1
856	DO j = nysg, nyng
857	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
858	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
859
860	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
861	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
862
863	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
864	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
865	ENDDO
866	ENDDO
867
868	!
869	!-- Bottom boundary at the outflow
870	IF ( ibc_uv_b == 0 ) THEN
871	u_p(nzb,:,nx+1) = 0.0
872	v_p(nzb,:,nx+1) = 0.0
873	ELSE
874	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
875	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
876	ENDIF
877	w_p(nzb,:,nx+1) = 0.0
878
879	!
880	!-- Top boundary at the outflow
881	IF ( ibc_uv_t == 0 ) THEN
882	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
883	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
884	ELSE
885	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
886	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
887	ENDIF
888	w(nzt:nzt+1,:,nx+1) = 0.0
889
890	ENDIF
891
892	ENDIF
893
894	END SUBROUTINE boundary_conds

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