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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1114

Last change on this file since 1114 was 1114, checked in by raasch, 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 1114 2013-03-10 03:25:57Z raasch $
27	!
28	! 1113 2013-03-10 02:48:14Z raasch
29	! GPU-porting
30	! dummy argument "range" removed
31	! Bugfix: wrong index in loops of radiation boundary condition
32	!
33	! 1053 2012-11-13 17:11:03Z hoffmann
34	! boundary conditions for the two new prognostic equations (nr, qr) of the
35	! two-moment cloud scheme
36	!
37	! 1036 2012-10-22 13:43:42Z raasch
38	! code put under GPL (PALM 3.9)
39	!
40	! 996 2012-09-07 10:41:47Z raasch
41	! little reformatting
42	!
43	! 978 2012-08-09 08:28:32Z fricke
44	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
45	! Outflow boundary conditions for the velocity components can be set to Neumann
46	! conditions or to radiation conditions with a horizontal averaged phase
47	! velocity.
48	!
49	! 875 2012-04-02 15:35:15Z gryschka
50	! Bugfix in case of dirichlet inflow bc at the right or north boundary
51	!
52	! 767 2011-10-14 06:39:12Z raasch
53	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
54	!
55	! 667 2010-12-23 12:06:00Z suehring/gryschka
56	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
57	! Removed mirror boundary conditions for u and v at the bottom in case of
58	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
59	! in init_3d_model
60	!
61	! 107 2007-08-17 13:54:45Z raasch
62	! Boundary conditions for temperature adjusted for coupled runs,
63	! bugfixes for the radiation boundary conditions at the outflow: radiation
64	! conditions are used for every substep, phase speeds are calculated for the
65	! first Runge-Kutta substep only and then reused, several index values changed
66	!
67	! 95 2007-06-02 16:48:38Z raasch
68	! Boundary conditions for salinity added
69	!
70	! 75 2007-03-22 09:54:05Z raasch
71	! The "main" part sets conditions for time level t+dt instead of level t,
72	! outflow boundary conditions changed from Neumann to radiation condition,
73	! uxrp, vynp eliminated, moisture renamed humidity
74	!
75	! 19 2007-02-23 04:53:48Z raasch
76	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
77	! gridpoints are now calculated by the prognostic equation,
78	! Dirichlet and zero gradient condition for pt established at top boundary
79	!
80	! RCS Log replace by Id keyword, revision history cleaned up
81	!
82	! Revision 1.15 2006/02/23 09:54:55 raasch
83	! Surface boundary conditions in case of topography: nzb replaced by
84	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
85	! unchanged (still using nzb) because a non-flat topography must use a
86	! Prandtl-layer, which don't requires explicit setting of the surface values.
87	!
88	! Revision 1.1 1997/09/12 06:21:34 raasch
89	! Initial revision
90	!
91	!
92	! Description:
93	! ------------
94	! Boundary conditions for the prognostic quantities (range='main').
95	! In case of non-cyclic lateral boundaries the conditions for velocities at
96	! the outflow are set after the pressure solver has been called (range=
97	! 'outflow_uvw').
98	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
99	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
100	! handled in routine exchange_horiz. Pressure boundary conditions are
101	! explicitly set in routines pres, poisfft, poismg and sor.
102	!------------------------------------------------------------------------------!
103
104	USE arrays_3d
105	USE control_parameters
106	USE grid_variables
107	USE indices
108	USE pegrid
109
110	IMPLICIT NONE
111
112	INTEGER :: i, j, k
113
114	REAL :: c_max, denom
115
116
117	!
118	!-- Bottom boundary
119	IF ( ibc_uv_b == 1 ) THEN
120	!$acc kernels present( u_p, v_p )
121	u_p(nzb,:,:) = u_p(nzb+1,:,:)
122	v_p(nzb,:,:) = v_p(nzb+1,:,:)
123	!$acc end kernels
124	ENDIF
125
126	!$acc kernels present( nzb_w_inner, w_p )
127	DO i = nxlg, nxrg
128	DO j = nysg, nyng
129	w_p(nzb_w_inner(j,i),j,i) = 0.0
130	ENDDO
131	ENDDO
132	!$acc end kernels
133
134	!
135	!-- Top boundary
136	IF ( ibc_uv_t == 0 ) THEN
137	!$acc kernels present( u_init, u_p, v_init, v_p )
138	u_p(nzt+1,:,:) = u_init(nzt+1)
139	v_p(nzt+1,:,:) = v_init(nzt+1)
140	!$acc end kernels
141	ELSE
142	!$acc kernels present( u_p, v_p )
143	u_p(nzt+1,:,:) = u_p(nzt,:,:)
144	v_p(nzt+1,:,:) = v_p(nzt,:,:)
145	!$acc end kernels
146	ENDIF
147	!$acc kernels present( w_p )
148	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
149	!$acc end kernels
150
151	!
152	!-- Temperature at bottom boundary.
153	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
154	!-- the sea surface temperature of the coupled ocean model.
155	IF ( ibc_pt_b == 0 ) THEN
156	!$acc kernels present( nzb_s_inner, pt, pt_p )
157	DO i = nxlg, nxrg
158	DO j = nysg, nyng
159	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
160	ENDDO
161	ENDDO
162	!$acc end kernels
163	ELSEIF ( ibc_pt_b == 1 ) THEN
164	!$acc kernels present( nzb_s_inner, pt_p )
165	DO i = nxlg, nxrg
166	DO j = nysg, nyng
167	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
168	ENDDO
169	ENDDO
170	!$acc end kernels
171	ENDIF
172
173	!
174	!-- Temperature at top boundary
175	IF ( ibc_pt_t == 0 ) THEN
176	!$acc kernels present( pt, pt_p )
177	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
178	!$acc end kernels
179	ELSEIF ( ibc_pt_t == 1 ) THEN
180	!$acc kernels present( pt_p )
181	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
182	!$acc end kernels
183	ELSEIF ( ibc_pt_t == 2 ) THEN
184	!$acc kernels present( dzu, pt_p )
185	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
186	!$acc end kernels
187	ENDIF
188
189	!
190	!-- Boundary conditions for TKE
191	!-- Generally Neumann conditions with de/dz=0 are assumed
192	IF ( .NOT. constant_diffusion ) THEN
193	!$acc kernels present( e_p, nzb_s_inner )
194	DO i = nxlg, nxrg
195	DO j = nysg, nyng
196	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
197	ENDDO
198	ENDDO
199	e_p(nzt+1,:,:) = e_p(nzt,:,:)
200	!$acc end kernels
201	ENDIF
202
203	!
204	!-- Boundary conditions for salinity
205	IF ( ocean ) THEN
206	!
207	!-- Bottom boundary: Neumann condition because salinity flux is always
208	!-- given
209	DO i = nxlg, nxrg
210	DO j = nysg, nyng
211	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
212	ENDDO
213	ENDDO
214
215	!
216	!-- Top boundary: Dirichlet or Neumann
217	IF ( ibc_sa_t == 0 ) THEN
218	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
219	ELSEIF ( ibc_sa_t == 1 ) THEN
220	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
221	ENDIF
222
223	ENDIF
224
225	!
226	!-- Boundary conditions for total water content or scalar,
227	!-- bottom and top boundary (see also temperature)
228	IF ( humidity .OR. passive_scalar ) THEN
229	!
230	!-- Surface conditions for constant_humidity_flux
231	IF ( ibc_q_b == 0 ) THEN
232	DO i = nxlg, nxrg
233	DO j = nysg, nyng
234	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
235	ENDDO
236	ENDDO
237	ELSE
238	DO i = nxlg, nxrg
239	DO j = nysg, nyng
240	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
241	ENDDO
242	ENDDO
243	ENDIF
244	!
245	!-- Top boundary
246	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
247
248	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
249	!
250	!-- Surface conditions for constant_humidity_flux
251	IF ( ibc_qr_b == 0 ) THEN
252	DO i = nxlg, nxrg
253	DO j = nysg, nyng
254	qr_p(nzb_s_inner(j,i),j,i) = qr(nzb_s_inner(j,i),j,i)
255	ENDDO
256	ENDDO
257	ELSE
258	DO i = nxlg, nxrg
259	DO j = nysg, nyng
260	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
261	ENDDO
262	ENDDO
263	ENDIF
264	!
265	!-- Top boundary
266	qr_p(nzt+1,:,:) = qr_p(nzt,:,:) + bc_qr_t_val * dzu(nzt+1)
267	!
268	!-- Surface conditions for constant_humidity_flux
269	IF ( ibc_nr_b == 0 ) THEN
270	DO i = nxlg, nxrg
271	DO j = nysg, nyng
272	nr_p(nzb_s_inner(j,i),j,i) = nr(nzb_s_inner(j,i),j,i)
273	ENDDO
274	ENDDO
275	ELSE
276	DO i = nxlg, nxrg
277	DO j = nysg, nyng
278	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
279	ENDDO
280	ENDDO
281	ENDIF
282	!
283	!-- Top boundary
284	nr_p(nzt+1,:,:) = nr_p(nzt,:,:) + bc_nr_t_val * dzu(nzt+1)
285	ENDIF
286
287	!
288	!-- In case of inflow at the south boundary the boundary for v is at nys
289	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
290	!-- Since in prognostic_equations (cache optimized version) these levels are
291	!-- handled as a prognostic level, boundary values have to be restored here.
292	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
293	IF ( inflow_s ) THEN
294	v_p(:,nys,:) = v_p(:,nys-1,:)
295	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
296	ELSEIF ( inflow_n ) THEN
297	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
298	ELSEIF ( inflow_l ) THEN
299	u_p(:,:,nxl) = u_p(:,:,nxl-1)
300	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
301	ELSEIF ( inflow_r ) THEN
302	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
303	ENDIF
304
305	!
306	!-- Lateral boundary conditions for scalar quantities at the outflow
307	IF ( outflow_s ) THEN
308	pt_p(:,nys-1,:) = pt_p(:,nys,:)
309	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
310	IF ( humidity .OR. passive_scalar ) THEN
311	q_p(:,nys-1,:) = q_p(:,nys,:)
312	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
313	qr_p(:,nys-1,:) = qr_p(:,nys,:)
314	nr_p(:,nys-1,:) = nr_p(:,nys,:)
315	ENDIF
316	ENDIF
317	ELSEIF ( outflow_n ) THEN
318	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
319	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
320	IF ( humidity .OR. passive_scalar ) THEN
321	q_p(:,nyn+1,:) = q_p(:,nyn,:)
322	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
323	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
324	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
325	ENDIF
326	ENDIF
327	ELSEIF ( outflow_l ) THEN
328	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
329	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
330	IF ( humidity .OR. passive_scalar ) THEN
331	q_p(:,:,nxl-1) = q_p(:,:,nxl)
332	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
333	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
334	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
335	ENDIF
336	ENDIF
337	ELSEIF ( outflow_r ) THEN
338	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
339	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
340	IF ( humidity .OR. passive_scalar ) THEN
341	q_p(:,:,nxr+1) = q_p(:,:,nxr)
342	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
343	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
344	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
345	ENDIF
346	ENDIF
347	ENDIF
348
349	ENDIF
350
351	!
352	!-- Neumann or Radiation boundary condition for the velocities at the
353	!-- respective outflow
354	IF ( outflow_s ) THEN
355
356	IF ( bc_ns_dirneu ) THEN
357	u(:,-1,:) = u(:,0,:)
358	v(:,0,:) = v(:,1,:)
359	w(:,-1,:) = w(:,0,:)
360	ELSEIF ( bc_ns_dirrad ) THEN
361
362	c_max = dy / dt_3d
363
364	c_u_m_l = 0.0
365	c_v_m_l = 0.0
366	c_w_m_l = 0.0
367
368	c_u_m = 0.0
369	c_v_m = 0.0
370	c_w_m = 0.0
371
372	!
373	!-- Calculate the phase speeds for u, v, and w, first local and then
374	!-- average along the outflow boundary.
375	DO k = nzb+1, nzt+1
376	DO i = nxl, nxr
377
378	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
379
380	IF ( denom /= 0.0 ) THEN
381	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
382	IF ( c_u(k,i) < 0.0 ) THEN
383	c_u(k,i) = 0.0
384	ELSEIF ( c_u(k,i) > c_max ) THEN
385	c_u(k,i) = c_max
386	ENDIF
387	ELSE
388	c_u(k,i) = c_max
389	ENDIF
390
391	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
392
393	IF ( denom /= 0.0 ) THEN
394	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
395	IF ( c_v(k,i) < 0.0 ) THEN
396	c_v(k,i) = 0.0
397	ELSEIF ( c_v(k,i) > c_max ) THEN
398	c_v(k,i) = c_max
399	ENDIF
400	ELSE
401	c_v(k,i) = c_max
402	ENDIF
403
404	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
405
406	IF ( denom /= 0.0 ) THEN
407	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
408	IF ( c_w(k,i) < 0.0 ) THEN
409	c_w(k,i) = 0.0
410	ELSEIF ( c_w(k,i) > c_max ) THEN
411	c_w(k,i) = c_max
412	ENDIF
413	ELSE
414	c_w(k,i) = c_max
415	ENDIF
416
417	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
418	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
419	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
420
421	ENDDO
422	ENDDO
423
424	#if defined( __parallel )
425	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
426	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
427	MPI_SUM, comm1dx, ierr )
428	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
429	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
430	MPI_SUM, comm1dx, ierr )
431	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
432	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
433	MPI_SUM, comm1dx, ierr )
434	#else
435	c_u_m = c_u_m_l
436	c_v_m = c_v_m_l
437	c_w_m = c_w_m_l
438	#endif
439
440	c_u_m = c_u_m / (nx+1)
441	c_v_m = c_v_m / (nx+1)
442	c_w_m = c_w_m / (nx+1)
443
444	!
445	!-- Save old timelevels for the next timestep
446	IF ( intermediate_timestep_count == 1 ) THEN
447	u_m_s(:,:,:) = u(:,0:1,:)
448	v_m_s(:,:,:) = v(:,1:2,:)
449	w_m_s(:,:,:) = w(:,0:1,:)
450	ENDIF
451
452	!
453	!-- Calculate the new velocities
454	DO k = nzb+1, nzt+1
455	DO i = nxlg, nxrg
456	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
457	( u(k,-1,i) - u(k,0,i) ) * ddy
458
459	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
460	( v(k,0,i) - v(k,1,i) ) * ddy
461
462	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
463	( w(k,-1,i) - w(k,0,i) ) * ddy
464	ENDDO
465	ENDDO
466
467	!
468	!-- Bottom boundary at the outflow
469	IF ( ibc_uv_b == 0 ) THEN
470	u_p(nzb,-1,:) = 0.0
471	v_p(nzb,0,:) = 0.0
472	ELSE
473	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
474	v_p(nzb,0,:) = v_p(nzb+1,0,:)
475	ENDIF
476	w_p(nzb,-1,:) = 0.0
477
478	!
479	!-- Top boundary at the outflow
480	IF ( ibc_uv_t == 0 ) THEN
481	u_p(nzt+1,-1,:) = u_init(nzt+1)
482	v_p(nzt+1,0,:) = v_init(nzt+1)
483	ELSE
484	u_p(nzt+1,-1,:) = u(nzt,-1,:)
485	v_p(nzt+1,0,:) = v(nzt,0,:)
486	ENDIF
487	w_p(nzt:nzt+1,-1,:) = 0.0
488
489	ENDIF
490
491	ENDIF
492
493	IF ( outflow_n ) THEN
494
495	IF ( bc_ns_neudir ) THEN
496	u(:,ny+1,:) = u(:,ny,:)
497	v(:,ny+1,:) = v(:,ny,:)
498	w(:,ny+1,:) = w(:,ny,:)
499	ELSEIF ( bc_ns_dirrad ) THEN
500
501	c_max = dy / dt_3d
502
503	c_u_m_l = 0.0
504	c_v_m_l = 0.0
505	c_w_m_l = 0.0
506
507	c_u_m = 0.0
508	c_v_m = 0.0
509	c_w_m = 0.0
510
511	!
512	!-- Calculate the phase speeds for u, v, and w, first local and then
513	!-- average along the outflow boundary.
514	DO k = nzb+1, nzt+1
515	DO i = nxl, nxr
516
517	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
518
519	IF ( denom /= 0.0 ) THEN
520	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
521	IF ( c_u(k,i) < 0.0 ) THEN
522	c_u(k,i) = 0.0
523	ELSEIF ( c_u(k,i) > c_max ) THEN
524	c_u(k,i) = c_max
525	ENDIF
526	ELSE
527	c_u(k,i) = c_max
528	ENDIF
529
530	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
531
532	IF ( denom /= 0.0 ) THEN
533	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
534	IF ( c_v(k,i) < 0.0 ) THEN
535	c_v(k,i) = 0.0
536	ELSEIF ( c_v(k,i) > c_max ) THEN
537	c_v(k,i) = c_max
538	ENDIF
539	ELSE
540	c_v(k,i) = c_max
541	ENDIF
542
543	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
544
545	IF ( denom /= 0.0 ) THEN
546	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
547	IF ( c_w(k,i) < 0.0 ) THEN
548	c_w(k,i) = 0.0
549	ELSEIF ( c_w(k,i) > c_max ) THEN
550	c_w(k,i) = c_max
551	ENDIF
552	ELSE
553	c_w(k,i) = c_max
554	ENDIF
555
556	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
557	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
558	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
559
560	ENDDO
561	ENDDO
562
563	#if defined( __parallel )
564	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
565	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
566	MPI_SUM, comm1dx, ierr )
567	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
568	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
569	MPI_SUM, comm1dx, ierr )
570	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
571	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
572	MPI_SUM, comm1dx, ierr )
573	#else
574	c_u_m = c_u_m_l
575	c_v_m = c_v_m_l
576	c_w_m = c_w_m_l
577	#endif
578
579	c_u_m = c_u_m / (nx+1)
580	c_v_m = c_v_m / (nx+1)
581	c_w_m = c_w_m / (nx+1)
582
583	!
584	!-- Save old timelevels for the next timestep
585	IF ( intermediate_timestep_count == 1 ) THEN
586	u_m_n(:,:,:) = u(:,ny-1:ny,:)
587	v_m_n(:,:,:) = v(:,ny-1:ny,:)
588	w_m_n(:,:,:) = w(:,ny-1:ny,:)
589	ENDIF
590
591	!
592	!-- Calculate the new velocities
593	DO k = nzb+1, nzt+1
594	DO i = nxlg, nxrg
595	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
596	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
597
598	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
599	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
600
601	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
602	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
603	ENDDO
604	ENDDO
605
606	!
607	!-- Bottom boundary at the outflow
608	IF ( ibc_uv_b == 0 ) THEN
609	u_p(nzb,ny+1,:) = 0.0
610	v_p(nzb,ny+1,:) = 0.0
611	ELSE
612	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
613	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
614	ENDIF
615	w_p(nzb,ny+1,:) = 0.0
616
617	!
618	!-- Top boundary at the outflow
619	IF ( ibc_uv_t == 0 ) THEN
620	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
621	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
622	ELSE
623	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
624	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
625	ENDIF
626	w_p(nzt:nzt+1,ny+1,:) = 0.0
627
628	ENDIF
629
630	ENDIF
631
632	IF ( outflow_l ) THEN
633
634	IF ( bc_lr_neudir ) THEN
635	u(:,:,-1) = u(:,:,0)
636	v(:,:,0) = v(:,:,1)
637	w(:,:,-1) = w(:,:,0)
638	ELSEIF ( bc_ns_dirrad ) THEN
639
640	c_max = dx / dt_3d
641
642	c_u_m_l = 0.0
643	c_v_m_l = 0.0
644	c_w_m_l = 0.0
645
646	c_u_m = 0.0
647	c_v_m = 0.0
648	c_w_m = 0.0
649
650	!
651	!-- Calculate the phase speeds for u, v, and w, first local and then
652	!-- average along the outflow boundary.
653	DO k = nzb+1, nzt+1
654	DO j = nys, nyn
655
656	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
657
658	IF ( denom /= 0.0 ) THEN
659	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
660	IF ( c_u(k,j) < 0.0 ) THEN
661	c_u(k,j) = 0.0
662	ELSEIF ( c_u(k,j) > c_max ) THEN
663	c_u(k,j) = c_max
664	ENDIF
665	ELSE
666	c_u(k,j) = c_max
667	ENDIF
668
669	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
670
671	IF ( denom /= 0.0 ) THEN
672	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
673	IF ( c_v(k,j) < 0.0 ) THEN
674	c_v(k,j) = 0.0
675	ELSEIF ( c_v(k,j) > c_max ) THEN
676	c_v(k,j) = c_max
677	ENDIF
678	ELSE
679	c_v(k,j) = c_max
680	ENDIF
681
682	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
683
684	IF ( denom /= 0.0 ) THEN
685	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
686	IF ( c_w(k,j) < 0.0 ) THEN
687	c_w(k,j) = 0.0
688	ELSEIF ( c_w(k,j) > c_max ) THEN
689	c_w(k,j) = c_max
690	ENDIF
691	ELSE
692	c_w(k,j) = c_max
693	ENDIF
694
695	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
696	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
697	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
698
699	ENDDO
700	ENDDO
701
702	#if defined( __parallel )
703	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
704	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
705	MPI_SUM, comm1dy, ierr )
706	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
707	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
708	MPI_SUM, comm1dy, ierr )
709	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
710	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
711	MPI_SUM, comm1dy, ierr )
712	#else
713	c_u_m = c_u_m_l
714	c_v_m = c_v_m_l
715	c_w_m = c_w_m_l
716	#endif
717
718	c_u_m = c_u_m / (ny+1)
719	c_v_m = c_v_m / (ny+1)
720	c_w_m = c_w_m / (ny+1)
721
722	!
723	!-- Save old timelevels for the next timestep
724	IF ( intermediate_timestep_count == 1 ) THEN
725	u_m_l(:,:,:) = u(:,:,1:2)
726	v_m_l(:,:,:) = v(:,:,0:1)
727	w_m_l(:,:,:) = w(:,:,0:1)
728	ENDIF
729
730	!
731	!-- Calculate the new velocities
732	DO k = nzb+1, nzt+1
733	DO j = nysg, nyng
734	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
735	( u(k,j,0) - u(k,j,1) ) * ddx
736
737	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
738	( v(k,j,-1) - v(k,j,0) ) * ddx
739
740	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
741	( w(k,j,-1) - w(k,j,0) ) * ddx
742	ENDDO
743	ENDDO
744
745	!
746	!-- Bottom boundary at the outflow
747	IF ( ibc_uv_b == 0 ) THEN
748	u_p(nzb,:,0) = 0.0
749	v_p(nzb,:,-1) = 0.0
750	ELSE
751	u_p(nzb,:,0) = u_p(nzb+1,:,0)
752	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
753	ENDIF
754	w_p(nzb,:,-1) = 0.0
755
756	!
757	!-- Top boundary at the outflow
758	IF ( ibc_uv_t == 0 ) THEN
759	u_p(nzt+1,:,-1) = u_init(nzt+1)
760	v_p(nzt+1,:,-1) = v_init(nzt+1)
761	ELSE
762	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
763	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
764	ENDIF
765	w_p(nzt:nzt+1,:,-1) = 0.0
766
767	ENDIF
768
769	ENDIF
770
771	IF ( outflow_r ) THEN
772
773	IF ( bc_lr_dirneu ) THEN
774	u(:,:,nx+1) = u(:,:,nx)
775	v(:,:,nx+1) = v(:,:,nx)
776	w(:,:,nx+1) = w(:,:,nx)
777	ELSEIF ( bc_ns_dirrad ) THEN
778
779	c_max = dx / dt_3d
780
781	c_u_m_l = 0.0
782	c_v_m_l = 0.0
783	c_w_m_l = 0.0
784
785	c_u_m = 0.0
786	c_v_m = 0.0
787	c_w_m = 0.0
788
789	!
790	!-- Calculate the phase speeds for u, v, and w, first local and then
791	!-- average along the outflow boundary.
792	DO k = nzb+1, nzt+1
793	DO j = nys, nyn
794
795	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
796
797	IF ( denom /= 0.0 ) THEN
798	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
799	IF ( c_u(k,j) < 0.0 ) THEN
800	c_u(k,j) = 0.0
801	ELSEIF ( c_u(k,j) > c_max ) THEN
802	c_u(k,j) = c_max
803	ENDIF
804	ELSE
805	c_u(k,j) = c_max
806	ENDIF
807
808	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
809
810	IF ( denom /= 0.0 ) THEN
811	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
812	IF ( c_v(k,j) < 0.0 ) THEN
813	c_v(k,j) = 0.0
814	ELSEIF ( c_v(k,j) > c_max ) THEN
815	c_v(k,j) = c_max
816	ENDIF
817	ELSE
818	c_v(k,j) = c_max
819	ENDIF
820
821	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
822
823	IF ( denom /= 0.0 ) THEN
824	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
825	IF ( c_w(k,j) < 0.0 ) THEN
826	c_w(k,j) = 0.0
827	ELSEIF ( c_w(k,j) > c_max ) THEN
828	c_w(k,j) = c_max
829	ENDIF
830	ELSE
831	c_w(k,j) = c_max
832	ENDIF
833
834	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
835	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
836	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
837
838	ENDDO
839	ENDDO
840
841	#if defined( __parallel )
842	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
843	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
844	MPI_SUM, comm1dy, ierr )
845	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
846	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
847	MPI_SUM, comm1dy, ierr )
848	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
849	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
850	MPI_SUM, comm1dy, ierr )
851	#else
852	c_u_m = c_u_m_l
853	c_v_m = c_v_m_l
854	c_w_m = c_w_m_l
855	#endif
856
857	c_u_m = c_u_m / (ny+1)
858	c_v_m = c_v_m / (ny+1)
859	c_w_m = c_w_m / (ny+1)
860
861	!
862	!-- Save old timelevels for the next timestep
863	IF ( intermediate_timestep_count == 1 ) THEN
864	u_m_r(:,:,:) = u(:,:,nx-1:nx)
865	v_m_r(:,:,:) = v(:,:,nx-1:nx)
866	w_m_r(:,:,:) = w(:,:,nx-1:nx)
867	ENDIF
868
869	!
870	!-- Calculate the new velocities
871	DO k = nzb+1, nzt+1
872	DO j = nysg, nyng
873	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
874	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
875
876	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
877	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
878
879	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
880	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
881	ENDDO
882	ENDDO
883
884	!
885	!-- Bottom boundary at the outflow
886	IF ( ibc_uv_b == 0 ) THEN
887	u_p(nzb,:,nx+1) = 0.0
888	v_p(nzb,:,nx+1) = 0.0
889	ELSE
890	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
891	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
892	ENDIF
893	w_p(nzb,:,nx+1) = 0.0
894
895	!
896	!-- Top boundary at the outflow
897	IF ( ibc_uv_t == 0 ) THEN
898	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
899	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
900	ELSE
901	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
902	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
903	ENDIF
904	w(nzt:nzt+1,:,nx+1) = 0.0
905
906	ENDIF
907
908	ENDIF
909
910	END SUBROUTINE boundary_conds

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