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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1253

Last change on this file since 1253 was 1242, checked in by heinze, 11 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 1242 2013-10-30 11:50:11Z fricke $
27	!
28	! 1241 2013-10-30 11:36:58Z heinze
29	! Adjust ug and vg at each timestep in case of large_scale_forcing
30	!
31	! 1159 2013-05-21 11:58:22Z fricke
32	! Bugfix: Neumann boundary conditions for the velocity components at the
33	! outflow are in fact radiation boundary conditions using the maximum phase
34	! velocity that ensures numerical stability (CFL-condition).
35	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
36	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
37	! u_p, v_p, w_p
38	!
39	! 1115 2013-03-26 18:16:16Z hoffmann
40	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
41	! boundary-conditions
42	!
43	! 1113 2013-03-10 02:48:14Z raasch
44	! GPU-porting
45	! dummy argument "range" removed
46	! Bugfix: wrong index in loops of radiation boundary condition
47	!
48	! 1053 2012-11-13 17:11:03Z hoffmann
49	! boundary conditions for the two new prognostic equations (nr, qr) of the
50	! two-moment cloud scheme
51	!
52	! 1036 2012-10-22 13:43:42Z raasch
53	! code put under GPL (PALM 3.9)
54	!
55	! 996 2012-09-07 10:41:47Z raasch
56	! little reformatting
57	!
58	! 978 2012-08-09 08:28:32Z fricke
59	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
60	! Outflow boundary conditions for the velocity components can be set to Neumann
61	! conditions or to radiation conditions with a horizontal averaged phase
62	! velocity.
63	!
64	! 875 2012-04-02 15:35:15Z gryschka
65	! Bugfix in case of dirichlet inflow bc at the right or north boundary
66	!
67	! 767 2011-10-14 06:39:12Z raasch
68	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
69	!
70	! 667 2010-12-23 12:06:00Z suehring/gryschka
71	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
72	! Removed mirror boundary conditions for u and v at the bottom in case of
73	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
74	! in init_3d_model
75	!
76	! 107 2007-08-17 13:54:45Z raasch
77	! Boundary conditions for temperature adjusted for coupled runs,
78	! bugfixes for the radiation boundary conditions at the outflow: radiation
79	! conditions are used for every substep, phase speeds are calculated for the
80	! first Runge-Kutta substep only and then reused, several index values changed
81	!
82	! 95 2007-06-02 16:48:38Z raasch
83	! Boundary conditions for salinity added
84	!
85	! 75 2007-03-22 09:54:05Z raasch
86	! The "main" part sets conditions for time level t+dt instead of level t,
87	! outflow boundary conditions changed from Neumann to radiation condition,
88	! uxrp, vynp eliminated, moisture renamed humidity
89	!
90	! 19 2007-02-23 04:53:48Z raasch
91	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
92	! gridpoints are now calculated by the prognostic equation,
93	! Dirichlet and zero gradient condition for pt established at top boundary
94	!
95	! RCS Log replace by Id keyword, revision history cleaned up
96	!
97	! Revision 1.15 2006/02/23 09:54:55 raasch
98	! Surface boundary conditions in case of topography: nzb replaced by
99	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
100	! unchanged (still using nzb) because a non-flat topography must use a
101	! Prandtl-layer, which don't requires explicit setting of the surface values.
102	!
103	! Revision 1.1 1997/09/12 06:21:34 raasch
104	! Initial revision
105	!
106	!
107	! Description:
108	! ------------
109	! Boundary conditions for the prognostic quantities.
110	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
111	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
112	! handled in routine exchange_horiz. Pressure boundary conditions are
113	! explicitly set in routines pres, poisfft, poismg and sor.
114	!------------------------------------------------------------------------------!
115
116	USE arrays_3d
117	USE control_parameters
118	USE grid_variables
119	USE indices
120	USE pegrid
121
122	IMPLICIT NONE
123
124	INTEGER :: i, j, k
125
126	REAL :: c_max, denom
127
128
129	!
130	!-- Bottom boundary
131	IF ( ibc_uv_b == 1 ) THEN
132	!$acc kernels present( u_p, v_p )
133	u_p(nzb,:,:) = u_p(nzb+1,:,:)
134	v_p(nzb,:,:) = v_p(nzb+1,:,:)
135	!$acc end kernels
136	ENDIF
137
138	!$acc kernels present( nzb_w_inner, w_p )
139	DO i = nxlg, nxrg
140	DO j = nysg, nyng
141	w_p(nzb_w_inner(j,i),j,i) = 0.0
142	ENDDO
143	ENDDO
144	!$acc end kernels
145
146	!
147	!-- Top boundary
148	IF ( ibc_uv_t == 0 ) THEN
149	!$acc kernels present( u_init, u_p, v_init, v_p )
150	u_p(nzt+1,:,:) = u_init(nzt+1)
151	v_p(nzt+1,:,:) = v_init(nzt+1)
152	IF ( large_scale_forcing) THEN
153	u_p(nzt+1,:,:) = ug(nzt+1)
154	v_p(nzt+1,:,:) = vg(nzt+1)
155	END IF
156	!$acc end kernels
157	ELSE
158	!$acc kernels present( u_p, v_p )
159	u_p(nzt+1,:,:) = u_p(nzt,:,:)
160	v_p(nzt+1,:,:) = v_p(nzt,:,:)
161	!$acc end kernels
162	ENDIF
163	!$acc kernels present( w_p )
164	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
165	!$acc end kernels
166
167	!
168	!-- Temperature at bottom boundary.
169	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
170	!-- the sea surface temperature of the coupled ocean model.
171	IF ( ibc_pt_b == 0 ) THEN
172	!$acc kernels present( nzb_s_inner, pt, pt_p )
173	DO i = nxlg, nxrg
174	DO j = nysg, nyng
175	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
176	ENDDO
177	ENDDO
178	!$acc end kernels
179	ELSEIF ( ibc_pt_b == 1 ) THEN
180	!$acc kernels present( nzb_s_inner, pt_p )
181	DO i = nxlg, nxrg
182	DO j = nysg, nyng
183	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
184	ENDDO
185	ENDDO
186	!$acc end kernels
187	ENDIF
188
189	!
190	!-- Temperature at top boundary
191	IF ( ibc_pt_t == 0 ) THEN
192	!$acc kernels present( pt, pt_p )
193	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
194	!$acc end kernels
195	ELSEIF ( ibc_pt_t == 1 ) THEN
196	!$acc kernels present( pt_p )
197	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
198	!$acc end kernels
199	ELSEIF ( ibc_pt_t == 2 ) THEN
200	!$acc kernels present( dzu, pt_p )
201	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
202	!$acc end kernels
203	ENDIF
204
205	!
206	!-- Boundary conditions for TKE
207	!-- Generally Neumann conditions with de/dz=0 are assumed
208	IF ( .NOT. constant_diffusion ) THEN
209	!$acc kernels present( e_p, nzb_s_inner )
210	DO i = nxlg, nxrg
211	DO j = nysg, nyng
212	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
213	ENDDO
214	ENDDO
215	e_p(nzt+1,:,:) = e_p(nzt,:,:)
216	!$acc end kernels
217	ENDIF
218
219	!
220	!-- Boundary conditions for salinity
221	IF ( ocean ) THEN
222	!
223	!-- Bottom boundary: Neumann condition because salinity flux is always
224	!-- given
225	DO i = nxlg, nxrg
226	DO j = nysg, nyng
227	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
228	ENDDO
229	ENDDO
230
231	!
232	!-- Top boundary: Dirichlet or Neumann
233	IF ( ibc_sa_t == 0 ) THEN
234	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
235	ELSEIF ( ibc_sa_t == 1 ) THEN
236	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
237	ENDIF
238
239	ENDIF
240
241	!
242	!-- Boundary conditions for total water content or scalar,
243	!-- bottom and top boundary (see also temperature)
244	IF ( humidity .OR. passive_scalar ) THEN
245	!
246	!-- Surface conditions for constant_humidity_flux
247	IF ( ibc_q_b == 0 ) THEN
248	DO i = nxlg, nxrg
249	DO j = nysg, nyng
250	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
251	ENDDO
252	ENDDO
253	ELSE
254	DO i = nxlg, nxrg
255	DO j = nysg, nyng
256	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
257	ENDDO
258	ENDDO
259	ENDIF
260	!
261	!-- Top boundary
262	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
263
264	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
265	precipitation ) THEN
266	!
267	!-- Surface conditions rain water (Neumann)
268	DO i = nxlg, nxrg
269	DO j = nysg, nyng
270	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
271	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
272	ENDDO
273	ENDDO
274	!
275	!-- Top boundary condition for rain water (Neumann)
276	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
277	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
278
279	ENDIF
280	!
281	!-- In case of inflow at the south boundary the boundary for v is at nys
282	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
283	!-- Since in prognostic_equations (cache optimized version) these levels are
284	!-- handled as a prognostic level, boundary values have to be restored here.
285	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
286	IF ( inflow_s ) THEN
287	v_p(:,nys,:) = v_p(:,nys-1,:)
288	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
289	ELSEIF ( inflow_n ) THEN
290	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
291	ELSEIF ( inflow_l ) THEN
292	u_p(:,:,nxl) = u_p(:,:,nxl-1)
293	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
294	ELSEIF ( inflow_r ) THEN
295	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
296	ENDIF
297
298	!
299	!-- Lateral boundary conditions for scalar quantities at the outflow
300	IF ( outflow_s ) THEN
301	pt_p(:,nys-1,:) = pt_p(:,nys,:)
302	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
303	IF ( humidity .OR. passive_scalar ) THEN
304	q_p(:,nys-1,:) = q_p(:,nys,:)
305	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
306	precipitation) THEN
307	qr_p(:,nys-1,:) = qr_p(:,nys,:)
308	nr_p(:,nys-1,:) = nr_p(:,nys,:)
309	ENDIF
310	ENDIF
311	ELSEIF ( outflow_n ) THEN
312	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
313	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
314	IF ( humidity .OR. passive_scalar ) THEN
315	q_p(:,nyn+1,:) = q_p(:,nyn,:)
316	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
317	precipitation ) THEN
318	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
319	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
320	ENDIF
321	ENDIF
322	ELSEIF ( outflow_l ) THEN
323	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
324	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
325	IF ( humidity .OR. passive_scalar ) THEN
326	q_p(:,:,nxl-1) = q_p(:,:,nxl)
327	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
328	precipitation ) THEN
329	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
330	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
331	ENDIF
332	ENDIF
333	ELSEIF ( outflow_r ) THEN
334	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
335	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
336	IF ( humidity .OR. passive_scalar ) THEN
337	q_p(:,:,nxr+1) = q_p(:,:,nxr)
338	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
339	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
340	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
341	ENDIF
342	ENDIF
343	ENDIF
344
345	ENDIF
346
347	!
348	!-- Radiation boundary conditions for the velocities at the respective outflow.
349	!-- The phase velocity is either assumed to the maximum phase velocity that
350	!-- ensures numerical stability (CFL-condition) or calculated after
351	!-- Orlanski(1976) and averaged along the outflow boundary.
352	IF ( outflow_s ) THEN
353
354	IF ( use_cmax ) THEN
355	u_p(:,-1,:) = u(:,0,:)
356	v_p(:,0,:) = v(:,1,:)
357	w_p(:,-1,:) = w(:,0,:)
358	ELSEIF ( .NOT. use_cmax ) 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 ( use_cmax ) THEN
494	u_p(:,ny+1,:) = u(:,ny,:)
495	v_p(:,ny+1,:) = v(:,ny,:)
496	w_p(:,ny+1,:) = w(:,ny,:)
497	ELSEIF ( .NOT. use_cmax ) 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 ( use_cmax ) THEN
633	u_p(:,:,-1) = u(:,:,0)
634	v_p(:,:,0) = v(:,:,1)
635	w_p(:,:,-1) = w(:,:,0)
636	ELSEIF ( .NOT. use_cmax ) 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 ( use_cmax ) THEN
772	u_p(:,:,nx+1) = u(:,:,nx)
773	v_p(:,:,nx+1) = v(:,:,nx)
774	w_p(:,:,nx+1) = w(:,:,nx)
775	ELSEIF ( .NOT. use_cmax ) 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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