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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1159

Last change on this file since 1159 was 1159, checked in by fricke, 11 years ago
Bugfix: In case of non-cyclic lateral boundary conditions, Neumann boundary conditions for the velocity components at the outflow are in fact radiation boundary conditions using the maximum phase velocity that ensures numerical stability (CFL-condition). Logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
Property svn:keywords set to `Id`
File size: 29.7 KB

Line
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	! Bugfix: Neumann boundary conditions for the velocity components at the
23	! outflow are in fact radiation boundary conditions using the maximum phase
24	! velocity that ensures numerical stability (CFL-condition).
25	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
26	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
27	! u_p, v_p, w_p
28	!
29	!
30	! Former revisions:
31	! -----------------
32	! $Id: boundary_conds.f90 1159 2013-05-21 11:58:22Z fricke $
33	!
34	! 1115 2013-03-26 18:16:16Z hoffmann
35	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
36	! boundary-conditions
37	!
38	! 1113 2013-03-10 02:48:14Z raasch
39	! GPU-porting
40	! dummy argument "range" removed
41	! Bugfix: wrong index in loops of radiation boundary condition
42	!
43	! 1053 2012-11-13 17:11:03Z hoffmann
44	! boundary conditions for the two new prognostic equations (nr, qr) of the
45	! two-moment cloud scheme
46	!
47	! 1036 2012-10-22 13:43:42Z raasch
48	! code put under GPL (PALM 3.9)
49	!
50	! 996 2012-09-07 10:41:47Z raasch
51	! little reformatting
52	!
53	! 978 2012-08-09 08:28:32Z fricke
54	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
55	! Outflow boundary conditions for the velocity components can be set to Neumann
56	! conditions or to radiation conditions with a horizontal averaged phase
57	! velocity.
58	!
59	! 875 2012-04-02 15:35:15Z gryschka
60	! Bugfix in case of dirichlet inflow bc at the right or north boundary
61	!
62	! 767 2011-10-14 06:39:12Z raasch
63	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
64	!
65	! 667 2010-12-23 12:06:00Z suehring/gryschka
66	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
67	! Removed mirror boundary conditions for u and v at the bottom in case of
68	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
69	! in init_3d_model
70	!
71	! 107 2007-08-17 13:54:45Z raasch
72	! Boundary conditions for temperature adjusted for coupled runs,
73	! bugfixes for the radiation boundary conditions at the outflow: radiation
74	! conditions are used for every substep, phase speeds are calculated for the
75	! first Runge-Kutta substep only and then reused, several index values changed
76	!
77	! 95 2007-06-02 16:48:38Z raasch
78	! Boundary conditions for salinity added
79	!
80	! 75 2007-03-22 09:54:05Z raasch
81	! The "main" part sets conditions for time level t+dt instead of level t,
82	! outflow boundary conditions changed from Neumann to radiation condition,
83	! uxrp, vynp eliminated, moisture renamed humidity
84	!
85	! 19 2007-02-23 04:53:48Z raasch
86	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
87	! gridpoints are now calculated by the prognostic equation,
88	! Dirichlet and zero gradient condition for pt established at top boundary
89	!
90	! RCS Log replace by Id keyword, revision history cleaned up
91	!
92	! Revision 1.15 2006/02/23 09:54:55 raasch
93	! Surface boundary conditions in case of topography: nzb replaced by
94	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
95	! unchanged (still using nzb) because a non-flat topography must use a
96	! Prandtl-layer, which don't requires explicit setting of the surface values.
97	!
98	! Revision 1.1 1997/09/12 06:21:34 raasch
99	! Initial revision
100	!
101	!
102	! Description:
103	! ------------
104	! Boundary conditions for the prognostic quantities.
105	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
106	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
107	! handled in routine exchange_horiz. Pressure boundary conditions are
108	! explicitly set in routines pres, poisfft, poismg and sor.
109	!------------------------------------------------------------------------------!
110
111	USE arrays_3d
112	USE control_parameters
113	USE grid_variables
114	USE indices
115	USE pegrid
116
117	IMPLICIT NONE
118
119	INTEGER :: i, j, k
120
121	REAL :: c_max, denom
122
123
124	!
125	!-- Bottom boundary
126	IF ( ibc_uv_b == 1 ) THEN
127	!$acc kernels present( u_p, v_p )
128	u_p(nzb,:,:) = u_p(nzb+1,:,:)
129	v_p(nzb,:,:) = v_p(nzb+1,:,:)
130	!$acc end kernels
131	ENDIF
132
133	!$acc kernels present( nzb_w_inner, w_p )
134	DO i = nxlg, nxrg
135	DO j = nysg, nyng
136	w_p(nzb_w_inner(j,i),j,i) = 0.0
137	ENDDO
138	ENDDO
139	!$acc end kernels
140
141	!
142	!-- Top boundary
143	IF ( ibc_uv_t == 0 ) THEN
144	!$acc kernels present( u_init, u_p, v_init, v_p )
145	u_p(nzt+1,:,:) = u_init(nzt+1)
146	v_p(nzt+1,:,:) = v_init(nzt+1)
147	!$acc end kernels
148	ELSE
149	!$acc kernels present( u_p, v_p )
150	u_p(nzt+1,:,:) = u_p(nzt,:,:)
151	v_p(nzt+1,:,:) = v_p(nzt,:,:)
152	!$acc end kernels
153	ENDIF
154	!$acc kernels present( w_p )
155	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
156	!$acc end kernels
157
158	!
159	!-- Temperature at bottom boundary.
160	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
161	!-- the sea surface temperature of the coupled ocean model.
162	IF ( ibc_pt_b == 0 ) THEN
163	!$acc kernels present( nzb_s_inner, pt, pt_p )
164	DO i = nxlg, nxrg
165	DO j = nysg, nyng
166	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
167	ENDDO
168	ENDDO
169	!$acc end kernels
170	ELSEIF ( ibc_pt_b == 1 ) THEN
171	!$acc kernels present( nzb_s_inner, pt_p )
172	DO i = nxlg, nxrg
173	DO j = nysg, nyng
174	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
175	ENDDO
176	ENDDO
177	!$acc end kernels
178	ENDIF
179
180	!
181	!-- Temperature at top boundary
182	IF ( ibc_pt_t == 0 ) THEN
183	!$acc kernels present( pt, pt_p )
184	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
185	!$acc end kernels
186	ELSEIF ( ibc_pt_t == 1 ) THEN
187	!$acc kernels present( pt_p )
188	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
189	!$acc end kernels
190	ELSEIF ( ibc_pt_t == 2 ) THEN
191	!$acc kernels present( dzu, pt_p )
192	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
193	!$acc end kernels
194	ENDIF
195
196	!
197	!-- Boundary conditions for TKE
198	!-- Generally Neumann conditions with de/dz=0 are assumed
199	IF ( .NOT. constant_diffusion ) THEN
200	!$acc kernels present( e_p, nzb_s_inner )
201	DO i = nxlg, nxrg
202	DO j = nysg, nyng
203	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
204	ENDDO
205	ENDDO
206	e_p(nzt+1,:,:) = e_p(nzt,:,:)
207	!$acc end kernels
208	ENDIF
209
210	!
211	!-- Boundary conditions for salinity
212	IF ( ocean ) THEN
213	!
214	!-- Bottom boundary: Neumann condition because salinity flux is always
215	!-- given
216	DO i = nxlg, nxrg
217	DO j = nysg, nyng
218	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
219	ENDDO
220	ENDDO
221
222	!
223	!-- Top boundary: Dirichlet or Neumann
224	IF ( ibc_sa_t == 0 ) THEN
225	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
226	ELSEIF ( ibc_sa_t == 1 ) THEN
227	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
228	ENDIF
229
230	ENDIF
231
232	!
233	!-- Boundary conditions for total water content or scalar,
234	!-- bottom and top boundary (see also temperature)
235	IF ( humidity .OR. passive_scalar ) THEN
236	!
237	!-- Surface conditions for constant_humidity_flux
238	IF ( ibc_q_b == 0 ) THEN
239	DO i = nxlg, nxrg
240	DO j = nysg, nyng
241	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
242	ENDDO
243	ENDDO
244	ELSE
245	DO i = nxlg, nxrg
246	DO j = nysg, nyng
247	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
248	ENDDO
249	ENDDO
250	ENDIF
251	!
252	!-- Top boundary
253	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
254
255	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
256	precipitation ) THEN
257	!
258	!-- Surface conditions rain water (Neumann)
259	DO i = nxlg, nxrg
260	DO j = nysg, nyng
261	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
262	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
263	ENDDO
264	ENDDO
265	!
266	!-- Top boundary condition for rain water (Neumann)
267	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
268	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
269
270	ENDIF
271	!
272	!-- In case of inflow at the south boundary the boundary for v is at nys
273	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
274	!-- Since in prognostic_equations (cache optimized version) these levels are
275	!-- handled as a prognostic level, boundary values have to be restored here.
276	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
277	IF ( inflow_s ) THEN
278	v_p(:,nys,:) = v_p(:,nys-1,:)
279	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
280	ELSEIF ( inflow_n ) THEN
281	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
282	ELSEIF ( inflow_l ) THEN
283	u_p(:,:,nxl) = u_p(:,:,nxl-1)
284	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
285	ELSEIF ( inflow_r ) THEN
286	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
287	ENDIF
288
289	!
290	!-- Lateral boundary conditions for scalar quantities at the outflow
291	IF ( outflow_s ) THEN
292	pt_p(:,nys-1,:) = pt_p(:,nys,:)
293	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
294	IF ( humidity .OR. passive_scalar ) THEN
295	q_p(:,nys-1,:) = q_p(:,nys,:)
296	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
297	precipitation) THEN
298	qr_p(:,nys-1,:) = qr_p(:,nys,:)
299	nr_p(:,nys-1,:) = nr_p(:,nys,:)
300	ENDIF
301	ENDIF
302	ELSEIF ( outflow_n ) THEN
303	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
304	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
305	IF ( humidity .OR. passive_scalar ) THEN
306	q_p(:,nyn+1,:) = q_p(:,nyn,:)
307	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
308	precipitation ) THEN
309	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
310	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
311	ENDIF
312	ENDIF
313	ELSEIF ( outflow_l ) THEN
314	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
315	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
316	IF ( humidity .OR. passive_scalar ) THEN
317	q_p(:,:,nxl-1) = q_p(:,:,nxl)
318	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
319	precipitation ) THEN
320	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
321	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
322	ENDIF
323	ENDIF
324	ELSEIF ( outflow_r ) THEN
325	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
326	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
327	IF ( humidity .OR. passive_scalar ) THEN
328	q_p(:,:,nxr+1) = q_p(:,:,nxr)
329	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
330	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
331	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
332	ENDIF
333	ENDIF
334	ENDIF
335
336	ENDIF
337
338	!
339	!-- Radiation boundary conditions for the velocities at the respective outflow.
340	!-- The phase velocity is either assumed to the maximum phase velocity that
341	!-- ensures numerical stability (CFL-condition) or calculated after
342	!-- Orlanski(1976) and averaged along the outflow boundary.
343	IF ( outflow_s ) THEN
344
345	IF ( use_cmax ) THEN
346	u_p(:,-1,:) = u(:,0,:)
347	v_p(:,0,:) = v(:,1,:)
348	w_p(:,-1,:) = w(:,0,:)
349	ELSEIF ( .NOT. use_cmax ) THEN
350
351	c_max = dy / dt_3d
352
353	c_u_m_l = 0.0
354	c_v_m_l = 0.0
355	c_w_m_l = 0.0
356
357	c_u_m = 0.0
358	c_v_m = 0.0
359	c_w_m = 0.0
360
361	!
362	!-- Calculate the phase speeds for u, v, and w, first local and then
363	!-- average along the outflow boundary.
364	DO k = nzb+1, nzt+1
365	DO i = nxl, nxr
366
367	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
368
369	IF ( denom /= 0.0 ) THEN
370	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
371	IF ( c_u(k,i) < 0.0 ) THEN
372	c_u(k,i) = 0.0
373	ELSEIF ( c_u(k,i) > c_max ) THEN
374	c_u(k,i) = c_max
375	ENDIF
376	ELSE
377	c_u(k,i) = c_max
378	ENDIF
379
380	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
381
382	IF ( denom /= 0.0 ) THEN
383	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
384	IF ( c_v(k,i) < 0.0 ) THEN
385	c_v(k,i) = 0.0
386	ELSEIF ( c_v(k,i) > c_max ) THEN
387	c_v(k,i) = c_max
388	ENDIF
389	ELSE
390	c_v(k,i) = c_max
391	ENDIF
392
393	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
394
395	IF ( denom /= 0.0 ) THEN
396	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
397	IF ( c_w(k,i) < 0.0 ) THEN
398	c_w(k,i) = 0.0
399	ELSEIF ( c_w(k,i) > c_max ) THEN
400	c_w(k,i) = c_max
401	ENDIF
402	ELSE
403	c_w(k,i) = c_max
404	ENDIF
405
406	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
407	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
408	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
409
410	ENDDO
411	ENDDO
412
413	#if defined( __parallel )
414	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
415	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
416	MPI_SUM, comm1dx, ierr )
417	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
418	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
419	MPI_SUM, comm1dx, ierr )
420	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
421	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
422	MPI_SUM, comm1dx, ierr )
423	#else
424	c_u_m = c_u_m_l
425	c_v_m = c_v_m_l
426	c_w_m = c_w_m_l
427	#endif
428
429	c_u_m = c_u_m / (nx+1)
430	c_v_m = c_v_m / (nx+1)
431	c_w_m = c_w_m / (nx+1)
432
433	!
434	!-- Save old timelevels for the next timestep
435	IF ( intermediate_timestep_count == 1 ) THEN
436	u_m_s(:,:,:) = u(:,0:1,:)
437	v_m_s(:,:,:) = v(:,1:2,:)
438	w_m_s(:,:,:) = w(:,0:1,:)
439	ENDIF
440
441	!
442	!-- Calculate the new velocities
443	DO k = nzb+1, nzt+1
444	DO i = nxlg, nxrg
445	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
446	( u(k,-1,i) - u(k,0,i) ) * ddy
447
448	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
449	( v(k,0,i) - v(k,1,i) ) * ddy
450
451	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
452	( w(k,-1,i) - w(k,0,i) ) * ddy
453	ENDDO
454	ENDDO
455
456	!
457	!-- Bottom boundary at the outflow
458	IF ( ibc_uv_b == 0 ) THEN
459	u_p(nzb,-1,:) = 0.0
460	v_p(nzb,0,:) = 0.0
461	ELSE
462	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
463	v_p(nzb,0,:) = v_p(nzb+1,0,:)
464	ENDIF
465	w_p(nzb,-1,:) = 0.0
466
467	!
468	!-- Top boundary at the outflow
469	IF ( ibc_uv_t == 0 ) THEN
470	u_p(nzt+1,-1,:) = u_init(nzt+1)
471	v_p(nzt+1,0,:) = v_init(nzt+1)
472	ELSE
473	u_p(nzt+1,-1,:) = u(nzt,-1,:)
474	v_p(nzt+1,0,:) = v(nzt,0,:)
475	ENDIF
476	w_p(nzt:nzt+1,-1,:) = 0.0
477
478	ENDIF
479
480	ENDIF
481
482	IF ( outflow_n ) THEN
483
484	IF ( use_cmax ) THEN
485	u_p(:,ny+1,:) = u(:,ny,:)
486	v_p(:,ny+1,:) = v(:,ny,:)
487	w_p(:,ny+1,:) = w(:,ny,:)
488	ELSEIF ( .NOT. use_cmax ) THEN
489
490	c_max = dy / dt_3d
491
492	c_u_m_l = 0.0
493	c_v_m_l = 0.0
494	c_w_m_l = 0.0
495
496	c_u_m = 0.0
497	c_v_m = 0.0
498	c_w_m = 0.0
499
500	!
501	!-- Calculate the phase speeds for u, v, and w, first local and then
502	!-- average along the outflow boundary.
503	DO k = nzb+1, nzt+1
504	DO i = nxl, nxr
505
506	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
507
508	IF ( denom /= 0.0 ) THEN
509	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
510	IF ( c_u(k,i) < 0.0 ) THEN
511	c_u(k,i) = 0.0
512	ELSEIF ( c_u(k,i) > c_max ) THEN
513	c_u(k,i) = c_max
514	ENDIF
515	ELSE
516	c_u(k,i) = c_max
517	ENDIF
518
519	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
520
521	IF ( denom /= 0.0 ) THEN
522	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
523	IF ( c_v(k,i) < 0.0 ) THEN
524	c_v(k,i) = 0.0
525	ELSEIF ( c_v(k,i) > c_max ) THEN
526	c_v(k,i) = c_max
527	ENDIF
528	ELSE
529	c_v(k,i) = c_max
530	ENDIF
531
532	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
533
534	IF ( denom /= 0.0 ) THEN
535	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
536	IF ( c_w(k,i) < 0.0 ) THEN
537	c_w(k,i) = 0.0
538	ELSEIF ( c_w(k,i) > c_max ) THEN
539	c_w(k,i) = c_max
540	ENDIF
541	ELSE
542	c_w(k,i) = c_max
543	ENDIF
544
545	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
546	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
547	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
548
549	ENDDO
550	ENDDO
551
552	#if defined( __parallel )
553	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
554	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
555	MPI_SUM, comm1dx, ierr )
556	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
557	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
558	MPI_SUM, comm1dx, ierr )
559	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
560	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
561	MPI_SUM, comm1dx, ierr )
562	#else
563	c_u_m = c_u_m_l
564	c_v_m = c_v_m_l
565	c_w_m = c_w_m_l
566	#endif
567
568	c_u_m = c_u_m / (nx+1)
569	c_v_m = c_v_m / (nx+1)
570	c_w_m = c_w_m / (nx+1)
571
572	!
573	!-- Save old timelevels for the next timestep
574	IF ( intermediate_timestep_count == 1 ) THEN
575	u_m_n(:,:,:) = u(:,ny-1:ny,:)
576	v_m_n(:,:,:) = v(:,ny-1:ny,:)
577	w_m_n(:,:,:) = w(:,ny-1:ny,:)
578	ENDIF
579
580	!
581	!-- Calculate the new velocities
582	DO k = nzb+1, nzt+1
583	DO i = nxlg, nxrg
584	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
585	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
586
587	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
588	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
589
590	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
591	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
592	ENDDO
593	ENDDO
594
595	!
596	!-- Bottom boundary at the outflow
597	IF ( ibc_uv_b == 0 ) THEN
598	u_p(nzb,ny+1,:) = 0.0
599	v_p(nzb,ny+1,:) = 0.0
600	ELSE
601	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
602	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
603	ENDIF
604	w_p(nzb,ny+1,:) = 0.0
605
606	!
607	!-- Top boundary at the outflow
608	IF ( ibc_uv_t == 0 ) THEN
609	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
610	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
611	ELSE
612	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
613	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
614	ENDIF
615	w_p(nzt:nzt+1,ny+1,:) = 0.0
616
617	ENDIF
618
619	ENDIF
620
621	IF ( outflow_l ) THEN
622
623	IF ( use_cmax ) THEN
624	u_p(:,:,-1) = u(:,:,0)
625	v_p(:,:,0) = v(:,:,1)
626	w_p(:,:,-1) = w(:,:,0)
627	ELSEIF ( .NOT. use_cmax ) THEN
628
629	c_max = dx / dt_3d
630
631	c_u_m_l = 0.0
632	c_v_m_l = 0.0
633	c_w_m_l = 0.0
634
635	c_u_m = 0.0
636	c_v_m = 0.0
637	c_w_m = 0.0
638
639	!
640	!-- Calculate the phase speeds for u, v, and w, first local and then
641	!-- average along the outflow boundary.
642	DO k = nzb+1, nzt+1
643	DO j = nys, nyn
644
645	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
646
647	IF ( denom /= 0.0 ) THEN
648	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
649	IF ( c_u(k,j) < 0.0 ) THEN
650	c_u(k,j) = 0.0
651	ELSEIF ( c_u(k,j) > c_max ) THEN
652	c_u(k,j) = c_max
653	ENDIF
654	ELSE
655	c_u(k,j) = c_max
656	ENDIF
657
658	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
659
660	IF ( denom /= 0.0 ) THEN
661	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
662	IF ( c_v(k,j) < 0.0 ) THEN
663	c_v(k,j) = 0.0
664	ELSEIF ( c_v(k,j) > c_max ) THEN
665	c_v(k,j) = c_max
666	ENDIF
667	ELSE
668	c_v(k,j) = c_max
669	ENDIF
670
671	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
672
673	IF ( denom /= 0.0 ) THEN
674	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
675	IF ( c_w(k,j) < 0.0 ) THEN
676	c_w(k,j) = 0.0
677	ELSEIF ( c_w(k,j) > c_max ) THEN
678	c_w(k,j) = c_max
679	ENDIF
680	ELSE
681	c_w(k,j) = c_max
682	ENDIF
683
684	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
685	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
686	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
687
688	ENDDO
689	ENDDO
690
691	#if defined( __parallel )
692	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
693	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
694	MPI_SUM, comm1dy, ierr )
695	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
696	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
697	MPI_SUM, comm1dy, ierr )
698	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
699	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
700	MPI_SUM, comm1dy, ierr )
701	#else
702	c_u_m = c_u_m_l
703	c_v_m = c_v_m_l
704	c_w_m = c_w_m_l
705	#endif
706
707	c_u_m = c_u_m / (ny+1)
708	c_v_m = c_v_m / (ny+1)
709	c_w_m = c_w_m / (ny+1)
710
711	!
712	!-- Save old timelevels for the next timestep
713	IF ( intermediate_timestep_count == 1 ) THEN
714	u_m_l(:,:,:) = u(:,:,1:2)
715	v_m_l(:,:,:) = v(:,:,0:1)
716	w_m_l(:,:,:) = w(:,:,0:1)
717	ENDIF
718
719	!
720	!-- Calculate the new velocities
721	DO k = nzb+1, nzt+1
722	DO j = nysg, nyng
723	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
724	( u(k,j,0) - u(k,j,1) ) * ddx
725
726	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
727	( v(k,j,-1) - v(k,j,0) ) * ddx
728
729	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
730	( w(k,j,-1) - w(k,j,0) ) * ddx
731	ENDDO
732	ENDDO
733
734	!
735	!-- Bottom boundary at the outflow
736	IF ( ibc_uv_b == 0 ) THEN
737	u_p(nzb,:,0) = 0.0
738	v_p(nzb,:,-1) = 0.0
739	ELSE
740	u_p(nzb,:,0) = u_p(nzb+1,:,0)
741	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
742	ENDIF
743	w_p(nzb,:,-1) = 0.0
744
745	!
746	!-- Top boundary at the outflow
747	IF ( ibc_uv_t == 0 ) THEN
748	u_p(nzt+1,:,-1) = u_init(nzt+1)
749	v_p(nzt+1,:,-1) = v_init(nzt+1)
750	ELSE
751	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
752	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
753	ENDIF
754	w_p(nzt:nzt+1,:,-1) = 0.0
755
756	ENDIF
757
758	ENDIF
759
760	IF ( outflow_r ) THEN
761
762	IF ( use_cmax ) THEN
763	u_p(:,:,nx+1) = u(:,:,nx)
764	v_p(:,:,nx+1) = v(:,:,nx)
765	w_p(:,:,nx+1) = w(:,:,nx)
766	ELSEIF ( .NOT. use_cmax ) THEN
767
768	c_max = dx / dt_3d
769
770	c_u_m_l = 0.0
771	c_v_m_l = 0.0
772	c_w_m_l = 0.0
773
774	c_u_m = 0.0
775	c_v_m = 0.0
776	c_w_m = 0.0
777
778	!
779	!-- Calculate the phase speeds for u, v, and w, first local and then
780	!-- average along the outflow boundary.
781	DO k = nzb+1, nzt+1
782	DO j = nys, nyn
783
784	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
785
786	IF ( denom /= 0.0 ) THEN
787	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
788	IF ( c_u(k,j) < 0.0 ) THEN
789	c_u(k,j) = 0.0
790	ELSEIF ( c_u(k,j) > c_max ) THEN
791	c_u(k,j) = c_max
792	ENDIF
793	ELSE
794	c_u(k,j) = c_max
795	ENDIF
796
797	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
798
799	IF ( denom /= 0.0 ) THEN
800	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
801	IF ( c_v(k,j) < 0.0 ) THEN
802	c_v(k,j) = 0.0
803	ELSEIF ( c_v(k,j) > c_max ) THEN
804	c_v(k,j) = c_max
805	ENDIF
806	ELSE
807	c_v(k,j) = c_max
808	ENDIF
809
810	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
811
812	IF ( denom /= 0.0 ) THEN
813	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
814	IF ( c_w(k,j) < 0.0 ) THEN
815	c_w(k,j) = 0.0
816	ELSEIF ( c_w(k,j) > c_max ) THEN
817	c_w(k,j) = c_max
818	ENDIF
819	ELSE
820	c_w(k,j) = c_max
821	ENDIF
822
823	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
824	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
825	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
826
827	ENDDO
828	ENDDO
829
830	#if defined( __parallel )
831	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
832	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
833	MPI_SUM, comm1dy, ierr )
834	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
835	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
836	MPI_SUM, comm1dy, ierr )
837	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
838	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
839	MPI_SUM, comm1dy, ierr )
840	#else
841	c_u_m = c_u_m_l
842	c_v_m = c_v_m_l
843	c_w_m = c_w_m_l
844	#endif
845
846	c_u_m = c_u_m / (ny+1)
847	c_v_m = c_v_m / (ny+1)
848	c_w_m = c_w_m / (ny+1)
849
850	!
851	!-- Save old timelevels for the next timestep
852	IF ( intermediate_timestep_count == 1 ) THEN
853	u_m_r(:,:,:) = u(:,:,nx-1:nx)
854	v_m_r(:,:,:) = v(:,:,nx-1:nx)
855	w_m_r(:,:,:) = w(:,:,nx-1:nx)
856	ENDIF
857
858	!
859	!-- Calculate the new velocities
860	DO k = nzb+1, nzt+1
861	DO j = nysg, nyng
862	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
863	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
864
865	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
866	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
867
868	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
869	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
870	ENDDO
871	ENDDO
872
873	!
874	!-- Bottom boundary at the outflow
875	IF ( ibc_uv_b == 0 ) THEN
876	u_p(nzb,:,nx+1) = 0.0
877	v_p(nzb,:,nx+1) = 0.0
878	ELSE
879	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
880	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
881	ENDIF
882	w_p(nzb,:,nx+1) = 0.0
883
884	!
885	!-- Top boundary at the outflow
886	IF ( ibc_uv_t == 0 ) THEN
887	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
888	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
889	ELSE
890	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
891	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
892	ENDIF
893	w(nzt:nzt+1,:,nx+1) = 0.0
894
895	ENDIF
896
897	ENDIF
898
899	END SUBROUTINE boundary_conds

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