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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1113

Last change on this file since 1113 was 1113, checked in by raasch, 10 years ago
GPU porting of boundary conditions and routine pres; index bug removec from radiation boundary condition
Property svn:keywords set to `Id`
File size: 29.6 KB

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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	! GPU-porting
23	! dummy argument "range" removed
24	! Bugfix: wrong index in loops of radiation boundary condition
25	!
26	! Former revisions:
27	! -----------------
28	! $Id: boundary_conds.f90 1113 2013-03-10 02:48:14Z raasch $
29	!
30	!
31	! 1053 2012-11-13 17:11:03Z hoffmann
32	! boundary conditions for the two new prognostic equations (nr, qr) of the
33	! two-moment cloud scheme
34	!
35	! 1036 2012-10-22 13:43:42Z raasch
36	! code put under GPL (PALM 3.9)
37	!
38	! 996 2012-09-07 10:41:47Z raasch
39	! little reformatting
40	!
41	! 978 2012-08-09 08:28:32Z fricke
42	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
43	! Outflow boundary conditions for the velocity components can be set to Neumann
44	! conditions or to radiation conditions with a horizontal averaged phase
45	! velocity.
46	!
47	! 875 2012-04-02 15:35:15Z gryschka
48	! Bugfix in case of dirichlet inflow bc at the right or north boundary
49	!
50	! 767 2011-10-14 06:39:12Z raasch
51	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
52	!
53	! 667 2010-12-23 12:06:00Z suehring/gryschka
54	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
55	! Removed mirror boundary conditions for u and v at the bottom in case of
56	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
57	! in init_3d_model
58	!
59	! 107 2007-08-17 13:54:45Z raasch
60	! Boundary conditions for temperature adjusted for coupled runs,
61	! bugfixes for the radiation boundary conditions at the outflow: radiation
62	! conditions are used for every substep, phase speeds are calculated for the
63	! first Runge-Kutta substep only and then reused, several index values changed
64	!
65	! 95 2007-06-02 16:48:38Z raasch
66	! Boundary conditions for salinity added
67	!
68	! 75 2007-03-22 09:54:05Z raasch
69	! The "main" part sets conditions for time level t+dt instead of level t,
70	! outflow boundary conditions changed from Neumann to radiation condition,
71	! uxrp, vynp eliminated, moisture renamed humidity
72	!
73	! 19 2007-02-23 04:53:48Z raasch
74	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
75	! gridpoints are now calculated by the prognostic equation,
76	! Dirichlet and zero gradient condition for pt established at top boundary
77	!
78	! RCS Log replace by Id keyword, revision history cleaned up
79	!
80	! Revision 1.15 2006/02/23 09:54:55 raasch
81	! Surface boundary conditions in case of topography: nzb replaced by
82	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
83	! unchanged (still using nzb) because a non-flat topography must use a
84	! Prandtl-layer, which don't requires explicit setting of the surface values.
85	!
86	! Revision 1.1 1997/09/12 06:21:34 raasch
87	! Initial revision
88	!
89	!
90	! Description:
91	! ------------
92	! Boundary conditions for the prognostic quantities (range='main').
93	! In case of non-cyclic lateral boundaries the conditions for velocities at
94	! the outflow are set after the pressure solver has been called (range=
95	! 'outflow_uvw').
96	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
97	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
98	! handled in routine exchange_horiz. Pressure boundary conditions are
99	! explicitly set in routines pres, poisfft, poismg and sor.
100	!------------------------------------------------------------------------------!
101
102	USE arrays_3d
103	USE control_parameters
104	USE grid_variables
105	USE indices
106	USE pegrid
107
108	IMPLICIT NONE
109
110	INTEGER :: i, j, k
111
112	REAL :: c_max, denom
113
114
115	!
116	!-- Bottom boundary
117	IF ( ibc_uv_b == 1 ) THEN
118	!$acc kernels present( u_p, v_p )
119	u_p(nzb,:,:) = u_p(nzb+1,:,:)
120	v_p(nzb,:,:) = v_p(nzb+1,:,:)
121	!$acc end kernels
122	ENDIF
123
124	!$acc kernels present( nzb_w_inner, w_p )
125	DO i = nxlg, nxrg
126	DO j = nysg, nyng
127	w_p(nzb_w_inner(j,i),j,i) = 0.0
128	ENDDO
129	ENDDO
130	!$acc end kernels
131
132	!
133	!-- Top boundary
134	IF ( ibc_uv_t == 0 ) THEN
135	!$acc kernels present( u_init, u_p, v_init, v_p )
136	u_p(nzt+1,:,:) = u_init(nzt+1)
137	v_p(nzt+1,:,:) = v_init(nzt+1)
138	!$acc end kernels
139	ELSE
140	!$acc kernels present( u_p, v_p )
141	u_p(nzt+1,:,:) = u_p(nzt,:,:)
142	v_p(nzt+1,:,:) = v_p(nzt,:,:)
143	!$acc end kernels
144	ENDIF
145	!$acc kernels present( w_p )
146	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
147	!$acc end kernels
148
149	!
150	!-- Temperature at bottom boundary.
151	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
152	!-- the sea surface temperature of the coupled ocean model.
153	IF ( ibc_pt_b == 0 ) THEN
154	!$acc kernels present( nzb_s_inner, pt, pt_p )
155	DO i = nxlg, nxrg
156	DO j = nysg, nyng
157	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
158	ENDDO
159	ENDDO
160	!$acc end kernels
161	ELSEIF ( ibc_pt_b == 1 ) THEN
162	!$acc kernels present( nzb_s_inner, pt_p )
163	DO i = nxlg, nxrg
164	DO j = nysg, nyng
165	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
166	ENDDO
167	ENDDO
168	!$acc end kernels
169	ENDIF
170
171	!
172	!-- Temperature at top boundary
173	IF ( ibc_pt_t == 0 ) THEN
174	!$acc kernels present( pt, pt_p )
175	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
176	!$acc end kernels
177	ELSEIF ( ibc_pt_t == 1 ) THEN
178	!$acc kernels present( pt_p )
179	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
180	!$acc end kernels
181	ELSEIF ( ibc_pt_t == 2 ) THEN
182	!$acc kernels present( dzu, pt_p )
183	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
184	!$acc end kernels
185	ENDIF
186
187	!
188	!-- Boundary conditions for TKE
189	!-- Generally Neumann conditions with de/dz=0 are assumed
190	IF ( .NOT. constant_diffusion ) THEN
191	!$acc kernels present( e_p, nzb_s_inner )
192	DO i = nxlg, nxrg
193	DO j = nysg, nyng
194	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
195	ENDDO
196	ENDDO
197	e_p(nzt+1,:,:) = e_p(nzt,:,:)
198	!$acc end kernels
199	ENDIF
200
201	!
202	!-- Boundary conditions for salinity
203	IF ( ocean ) THEN
204	!
205	!-- Bottom boundary: Neumann condition because salinity flux is always
206	!-- given
207	DO i = nxlg, nxrg
208	DO j = nysg, nyng
209	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
210	ENDDO
211	ENDDO
212
213	!
214	!-- Top boundary: Dirichlet or Neumann
215	IF ( ibc_sa_t == 0 ) THEN
216	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
217	ELSEIF ( ibc_sa_t == 1 ) THEN
218	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
219	ENDIF
220
221	ENDIF
222
223	!
224	!-- Boundary conditions for total water content or scalar,
225	!-- bottom and top boundary (see also temperature)
226	IF ( humidity .OR. passive_scalar ) THEN
227	!
228	!-- Surface conditions for constant_humidity_flux
229	IF ( ibc_q_b == 0 ) THEN
230	DO i = nxlg, nxrg
231	DO j = nysg, nyng
232	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
233	ENDDO
234	ENDDO
235	ELSE
236	DO i = nxlg, nxrg
237	DO j = nysg, nyng
238	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
239	ENDDO
240	ENDDO
241	ENDIF
242	!
243	!-- Top boundary
244	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
245
246	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
247	!
248	!-- Surface conditions for constant_humidity_flux
249	IF ( ibc_qr_b == 0 ) THEN
250	DO i = nxlg, nxrg
251	DO j = nysg, nyng
252	qr_p(nzb_s_inner(j,i),j,i) = qr(nzb_s_inner(j,i),j,i)
253	ENDDO
254	ENDDO
255	ELSE
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	ENDDO
260	ENDDO
261	ENDIF
262	!
263	!-- Top boundary
264	qr_p(nzt+1,:,:) = qr_p(nzt,:,:) + bc_qr_t_val * dzu(nzt+1)
265	!
266	!-- Surface conditions for constant_humidity_flux
267	IF ( ibc_nr_b == 0 ) THEN
268	DO i = nxlg, nxrg
269	DO j = nysg, nyng
270	nr_p(nzb_s_inner(j,i),j,i) = nr(nzb_s_inner(j,i),j,i)
271	ENDDO
272	ENDDO
273	ELSE
274	DO i = nxlg, nxrg
275	DO j = nysg, nyng
276	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
277	ENDDO
278	ENDDO
279	ENDIF
280	!
281	!-- Top boundary
282	nr_p(nzt+1,:,:) = nr_p(nzt,:,:) + bc_nr_t_val * dzu(nzt+1)
283	ENDIF
284
285	!
286	!-- In case of inflow at the south boundary the boundary for v is at nys
287	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
288	!-- Since in prognostic_equations (cache optimized version) these levels are
289	!-- handled as a prognostic level, boundary values have to be restored here.
290	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
291	IF ( inflow_s ) THEN
292	v_p(:,nys,:) = v_p(:,nys-1,:)
293	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
294	ELSEIF ( inflow_n ) THEN
295	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
296	ELSEIF ( inflow_l ) THEN
297	u_p(:,:,nxl) = u_p(:,:,nxl-1)
298	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
299	ELSEIF ( inflow_r ) THEN
300	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
301	ENDIF
302
303	!
304	!-- Lateral boundary conditions for scalar quantities at the outflow
305	IF ( outflow_s ) THEN
306	pt_p(:,nys-1,:) = pt_p(:,nys,:)
307	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
308	IF ( humidity .OR. passive_scalar ) THEN
309	q_p(:,nys-1,:) = q_p(:,nys,:)
310	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
311	qr_p(:,nys-1,:) = qr_p(:,nys,:)
312	nr_p(:,nys-1,:) = nr_p(:,nys,:)
313	ENDIF
314	ENDIF
315	ELSEIF ( outflow_n ) THEN
316	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
317	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
318	IF ( humidity .OR. passive_scalar ) THEN
319	q_p(:,nyn+1,:) = q_p(:,nyn,:)
320	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
321	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
322	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
323	ENDIF
324	ENDIF
325	ELSEIF ( outflow_l ) THEN
326	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
327	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
328	IF ( humidity .OR. passive_scalar ) THEN
329	q_p(:,:,nxl-1) = q_p(:,:,nxl)
330	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
331	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
332	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
333	ENDIF
334	ENDIF
335	ELSEIF ( outflow_r ) THEN
336	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
337	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
338	IF ( humidity .OR. passive_scalar ) THEN
339	q_p(:,:,nxr+1) = q_p(:,:,nxr)
340	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
341	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
342	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
343	ENDIF
344	ENDIF
345	ENDIF
346
347	ENDIF
348
349	!
350	!-- Neumann or Radiation boundary condition for the velocities at the
351	!-- respective outflow
352	IF ( outflow_s ) THEN
353
354	IF ( bc_ns_dirneu ) THEN
355	u(:,-1,:) = u(:,0,:)
356	v(:,0,:) = v(:,1,:)
357	w(:,-1,:) = w(:,0,:)
358	ELSEIF ( bc_ns_dirrad ) THEN
359
360	c_max = dy / dt_3d
361
362	c_u_m_l = 0.0
363	c_v_m_l = 0.0
364	c_w_m_l = 0.0
365
366	c_u_m = 0.0
367	c_v_m = 0.0
368	c_w_m = 0.0
369
370	!
371	!-- Calculate the phase speeds for u, v, and w, first local and then
372	!-- average along the outflow boundary.
373	DO k = nzb+1, nzt+1
374	DO i = nxl, nxr
375
376	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
377
378	IF ( denom /= 0.0 ) THEN
379	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
380	IF ( c_u(k,i) < 0.0 ) THEN
381	c_u(k,i) = 0.0
382	ELSEIF ( c_u(k,i) > c_max ) THEN
383	c_u(k,i) = c_max
384	ENDIF
385	ELSE
386	c_u(k,i) = c_max
387	ENDIF
388
389	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
390
391	IF ( denom /= 0.0 ) THEN
392	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
393	IF ( c_v(k,i) < 0.0 ) THEN
394	c_v(k,i) = 0.0
395	ELSEIF ( c_v(k,i) > c_max ) THEN
396	c_v(k,i) = c_max
397	ENDIF
398	ELSE
399	c_v(k,i) = c_max
400	ENDIF
401
402	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
403
404	IF ( denom /= 0.0 ) THEN
405	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
406	IF ( c_w(k,i) < 0.0 ) THEN
407	c_w(k,i) = 0.0
408	ELSEIF ( c_w(k,i) > c_max ) THEN
409	c_w(k,i) = c_max
410	ENDIF
411	ELSE
412	c_w(k,i) = c_max
413	ENDIF
414
415	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
416	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
417	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
418
419	ENDDO
420	ENDDO
421
422	#if defined( __parallel )
423	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
424	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
425	MPI_SUM, comm1dx, ierr )
426	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
427	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
428	MPI_SUM, comm1dx, ierr )
429	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
430	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
431	MPI_SUM, comm1dx, ierr )
432	#else
433	c_u_m = c_u_m_l
434	c_v_m = c_v_m_l
435	c_w_m = c_w_m_l
436	#endif
437
438	c_u_m = c_u_m / (nx+1)
439	c_v_m = c_v_m / (nx+1)
440	c_w_m = c_w_m / (nx+1)
441
442	!
443	!-- Save old timelevels for the next timestep
444	IF ( intermediate_timestep_count == 1 ) THEN
445	u_m_s(:,:,:) = u(:,0:1,:)
446	v_m_s(:,:,:) = v(:,1:2,:)
447	w_m_s(:,:,:) = w(:,0:1,:)
448	ENDIF
449
450	!
451	!-- Calculate the new velocities
452	DO k = nzb+1, nzt+1
453	DO i = nxlg, nxrg
454	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
455	( u(k,-1,i) - u(k,0,i) ) * ddy
456
457	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
458	( v(k,0,i) - v(k,1,i) ) * ddy
459
460	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
461	( w(k,-1,i) - w(k,0,i) ) * ddy
462	ENDDO
463	ENDDO
464
465	!
466	!-- Bottom boundary at the outflow
467	IF ( ibc_uv_b == 0 ) THEN
468	u_p(nzb,-1,:) = 0.0
469	v_p(nzb,0,:) = 0.0
470	ELSE
471	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
472	v_p(nzb,0,:) = v_p(nzb+1,0,:)
473	ENDIF
474	w_p(nzb,-1,:) = 0.0
475
476	!
477	!-- Top boundary at the outflow
478	IF ( ibc_uv_t == 0 ) THEN
479	u_p(nzt+1,-1,:) = u_init(nzt+1)
480	v_p(nzt+1,0,:) = v_init(nzt+1)
481	ELSE
482	u_p(nzt+1,-1,:) = u(nzt,-1,:)
483	v_p(nzt+1,0,:) = v(nzt,0,:)
484	ENDIF
485	w_p(nzt:nzt+1,-1,:) = 0.0
486
487	ENDIF
488
489	ENDIF
490
491	IF ( outflow_n ) THEN
492
493	IF ( bc_ns_neudir ) THEN
494	u(:,ny+1,:) = u(:,ny,:)
495	v(:,ny+1,:) = v(:,ny,:)
496	w(:,ny+1,:) = w(:,ny,:)
497	ELSEIF ( bc_ns_dirrad ) THEN
498
499	c_max = dy / dt_3d
500
501	c_u_m_l = 0.0
502	c_v_m_l = 0.0
503	c_w_m_l = 0.0
504
505	c_u_m = 0.0
506	c_v_m = 0.0
507	c_w_m = 0.0
508
509	!
510	!-- Calculate the phase speeds for u, v, and w, first local and then
511	!-- average along the outflow boundary.
512	DO k = nzb+1, nzt+1
513	DO i = nxl, nxr
514
515	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
516
517	IF ( denom /= 0.0 ) THEN
518	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
519	IF ( c_u(k,i) < 0.0 ) THEN
520	c_u(k,i) = 0.0
521	ELSEIF ( c_u(k,i) > c_max ) THEN
522	c_u(k,i) = c_max
523	ENDIF
524	ELSE
525	c_u(k,i) = c_max
526	ENDIF
527
528	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
529
530	IF ( denom /= 0.0 ) THEN
531	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
532	IF ( c_v(k,i) < 0.0 ) THEN
533	c_v(k,i) = 0.0
534	ELSEIF ( c_v(k,i) > c_max ) THEN
535	c_v(k,i) = c_max
536	ENDIF
537	ELSE
538	c_v(k,i) = c_max
539	ENDIF
540
541	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
542
543	IF ( denom /= 0.0 ) THEN
544	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
545	IF ( c_w(k,i) < 0.0 ) THEN
546	c_w(k,i) = 0.0
547	ELSEIF ( c_w(k,i) > c_max ) THEN
548	c_w(k,i) = c_max
549	ENDIF
550	ELSE
551	c_w(k,i) = c_max
552	ENDIF
553
554	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
555	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
556	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
557
558	ENDDO
559	ENDDO
560
561	#if defined( __parallel )
562	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
563	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
564	MPI_SUM, comm1dx, ierr )
565	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
566	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
567	MPI_SUM, comm1dx, ierr )
568	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
569	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
570	MPI_SUM, comm1dx, ierr )
571	#else
572	c_u_m = c_u_m_l
573	c_v_m = c_v_m_l
574	c_w_m = c_w_m_l
575	#endif
576
577	c_u_m = c_u_m / (nx+1)
578	c_v_m = c_v_m / (nx+1)
579	c_w_m = c_w_m / (nx+1)
580
581	!
582	!-- Save old timelevels for the next timestep
583	IF ( intermediate_timestep_count == 1 ) THEN
584	u_m_n(:,:,:) = u(:,ny-1:ny,:)
585	v_m_n(:,:,:) = v(:,ny-1:ny,:)
586	w_m_n(:,:,:) = w(:,ny-1:ny,:)
587	ENDIF
588
589	!
590	!-- Calculate the new velocities
591	DO k = nzb+1, nzt+1
592	DO i = nxlg, nxrg
593	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
594	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
595
596	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
597	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
598
599	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
600	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
601	ENDDO
602	ENDDO
603
604	!
605	!-- Bottom boundary at the outflow
606	IF ( ibc_uv_b == 0 ) THEN
607	u_p(nzb,ny+1,:) = 0.0
608	v_p(nzb,ny+1,:) = 0.0
609	ELSE
610	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
611	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
612	ENDIF
613	w_p(nzb,ny+1,:) = 0.0
614
615	!
616	!-- Top boundary at the outflow
617	IF ( ibc_uv_t == 0 ) THEN
618	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
619	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
620	ELSE
621	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
622	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
623	ENDIF
624	w_p(nzt:nzt+1,ny+1,:) = 0.0
625
626	ENDIF
627
628	ENDIF
629
630	IF ( outflow_l ) THEN
631
632	IF ( bc_lr_neudir ) THEN
633	u(:,:,-1) = u(:,:,0)
634	v(:,:,0) = v(:,:,1)
635	w(:,:,-1) = w(:,:,0)
636	ELSEIF ( bc_ns_dirrad ) THEN
637
638	c_max = dx / dt_3d
639
640	c_u_m_l = 0.0
641	c_v_m_l = 0.0
642	c_w_m_l = 0.0
643
644	c_u_m = 0.0
645	c_v_m = 0.0
646	c_w_m = 0.0
647
648	!
649	!-- Calculate the phase speeds for u, v, and w, first local and then
650	!-- average along the outflow boundary.
651	DO k = nzb+1, nzt+1
652	DO j = nys, nyn
653
654	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
655
656	IF ( denom /= 0.0 ) THEN
657	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
658	IF ( c_u(k,j) < 0.0 ) THEN
659	c_u(k,j) = 0.0
660	ELSEIF ( c_u(k,j) > c_max ) THEN
661	c_u(k,j) = c_max
662	ENDIF
663	ELSE
664	c_u(k,j) = c_max
665	ENDIF
666
667	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
668
669	IF ( denom /= 0.0 ) THEN
670	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
671	IF ( c_v(k,j) < 0.0 ) THEN
672	c_v(k,j) = 0.0
673	ELSEIF ( c_v(k,j) > c_max ) THEN
674	c_v(k,j) = c_max
675	ENDIF
676	ELSE
677	c_v(k,j) = c_max
678	ENDIF
679
680	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
681
682	IF ( denom /= 0.0 ) THEN
683	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
684	IF ( c_w(k,j) < 0.0 ) THEN
685	c_w(k,j) = 0.0
686	ELSEIF ( c_w(k,j) > c_max ) THEN
687	c_w(k,j) = c_max
688	ENDIF
689	ELSE
690	c_w(k,j) = c_max
691	ENDIF
692
693	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
694	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
695	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
696
697	ENDDO
698	ENDDO
699
700	#if defined( __parallel )
701	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
702	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
703	MPI_SUM, comm1dy, ierr )
704	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
705	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
706	MPI_SUM, comm1dy, ierr )
707	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
708	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
709	MPI_SUM, comm1dy, ierr )
710	#else
711	c_u_m = c_u_m_l
712	c_v_m = c_v_m_l
713	c_w_m = c_w_m_l
714	#endif
715
716	c_u_m = c_u_m / (ny+1)
717	c_v_m = c_v_m / (ny+1)
718	c_w_m = c_w_m / (ny+1)
719
720	!
721	!-- Save old timelevels for the next timestep
722	IF ( intermediate_timestep_count == 1 ) THEN
723	u_m_l(:,:,:) = u(:,:,1:2)
724	v_m_l(:,:,:) = v(:,:,0:1)
725	w_m_l(:,:,:) = w(:,:,0:1)
726	ENDIF
727
728	!
729	!-- Calculate the new velocities
730	DO k = nzb+1, nzt+1
731	DO j = nysg, nyng
732	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
733	( u(k,j,0) - u(k,j,1) ) * ddx
734
735	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
736	( v(k,j,-1) - v(k,j,0) ) * ddx
737
738	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
739	( w(k,j,-1) - w(k,j,0) ) * ddx
740	ENDDO
741	ENDDO
742
743	!
744	!-- Bottom boundary at the outflow
745	IF ( ibc_uv_b == 0 ) THEN
746	u_p(nzb,:,0) = 0.0
747	v_p(nzb,:,-1) = 0.0
748	ELSE
749	u_p(nzb,:,0) = u_p(nzb+1,:,0)
750	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
751	ENDIF
752	w_p(nzb,:,-1) = 0.0
753
754	!
755	!-- Top boundary at the outflow
756	IF ( ibc_uv_t == 0 ) THEN
757	u_p(nzt+1,:,-1) = u_init(nzt+1)
758	v_p(nzt+1,:,-1) = v_init(nzt+1)
759	ELSE
760	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
761	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
762	ENDIF
763	w_p(nzt:nzt+1,:,-1) = 0.0
764
765	ENDIF
766
767	ENDIF
768
769	IF ( outflow_r ) THEN
770
771	IF ( bc_lr_dirneu ) THEN
772	u(:,:,nx+1) = u(:,:,nx)
773	v(:,:,nx+1) = v(:,:,nx)
774	w(:,:,nx+1) = w(:,:,nx)
775	ELSEIF ( bc_ns_dirrad ) THEN
776
777	c_max = dx / dt_3d
778
779	c_u_m_l = 0.0
780	c_v_m_l = 0.0
781	c_w_m_l = 0.0
782
783	c_u_m = 0.0
784	c_v_m = 0.0
785	c_w_m = 0.0
786
787	!
788	!-- Calculate the phase speeds for u, v, and w, first local and then
789	!-- average along the outflow boundary.
790	DO k = nzb+1, nzt+1
791	DO j = nys, nyn
792
793	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
794
795	IF ( denom /= 0.0 ) THEN
796	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
797	IF ( c_u(k,j) < 0.0 ) THEN
798	c_u(k,j) = 0.0
799	ELSEIF ( c_u(k,j) > c_max ) THEN
800	c_u(k,j) = c_max
801	ENDIF
802	ELSE
803	c_u(k,j) = c_max
804	ENDIF
805
806	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
807
808	IF ( denom /= 0.0 ) THEN
809	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
810	IF ( c_v(k,j) < 0.0 ) THEN
811	c_v(k,j) = 0.0
812	ELSEIF ( c_v(k,j) > c_max ) THEN
813	c_v(k,j) = c_max
814	ENDIF
815	ELSE
816	c_v(k,j) = c_max
817	ENDIF
818
819	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
820
821	IF ( denom /= 0.0 ) THEN
822	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
823	IF ( c_w(k,j) < 0.0 ) THEN
824	c_w(k,j) = 0.0
825	ELSEIF ( c_w(k,j) > c_max ) THEN
826	c_w(k,j) = c_max
827	ENDIF
828	ELSE
829	c_w(k,j) = c_max
830	ENDIF
831
832	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
833	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
834	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
835
836	ENDDO
837	ENDDO
838
839	#if defined( __parallel )
840	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
841	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
842	MPI_SUM, comm1dy, ierr )
843	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
844	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
845	MPI_SUM, comm1dy, ierr )
846	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
847	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
848	MPI_SUM, comm1dy, ierr )
849	#else
850	c_u_m = c_u_m_l
851	c_v_m = c_v_m_l
852	c_w_m = c_w_m_l
853	#endif
854
855	c_u_m = c_u_m / (ny+1)
856	c_v_m = c_v_m / (ny+1)
857	c_w_m = c_w_m / (ny+1)
858
859	!
860	!-- Save old timelevels for the next timestep
861	IF ( intermediate_timestep_count == 1 ) THEN
862	u_m_r(:,:,:) = u(:,:,nx-1:nx)
863	v_m_r(:,:,:) = v(:,:,nx-1:nx)
864	w_m_r(:,:,:) = w(:,:,nx-1:nx)
865	ENDIF
866
867	!
868	!-- Calculate the new velocities
869	DO k = nzb+1, nzt+1
870	DO j = nysg, nyng
871	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
872	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
873
874	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
875	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
876
877	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
878	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
879	ENDDO
880	ENDDO
881
882	!
883	!-- Bottom boundary at the outflow
884	IF ( ibc_uv_b == 0 ) THEN
885	u_p(nzb,:,nx+1) = 0.0
886	v_p(nzb,:,nx+1) = 0.0
887	ELSE
888	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
889	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
890	ENDIF
891	w_p(nzb,:,nx+1) = 0.0
892
893	!
894	!-- Top boundary at the outflow
895	IF ( ibc_uv_t == 0 ) THEN
896	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
897	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
898	ELSE
899	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
900	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
901	ENDIF
902	w(nzt:nzt+1,:,nx+1) = 0.0
903
904	ENDIF
905
906	ENDIF
907
908	END SUBROUTINE boundary_conds

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