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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1115

Last change on this file since 1115 was 1115, checked in by hoffmann, 12 years ago
optimization of two-moments cloud physics
Property svn:keywords set to `Id`
File size: 29.2 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	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
23	! boundary-conditions
24	!
25	! Former revisions:
26	! -----------------
27	! $Id: boundary_conds.f90 1115 2013-03-26 18:16:16Z hoffmann $
28	!
29	! 1113 2013-03-10 02:48:14Z raasch
30	! GPU-porting
31	! dummy argument "range" removed
32	! Bugfix: wrong index in loops of radiation boundary condition
33	!
34	! 1053 2012-11-13 17:11:03Z hoffmann
35	! boundary conditions for the two new prognostic equations (nr, qr) of the
36	! two-moment cloud scheme
37	!
38	! 1036 2012-10-22 13:43:42Z raasch
39	! code put under GPL (PALM 3.9)
40	!
41	! 996 2012-09-07 10:41:47Z raasch
42	! little reformatting
43	!
44	! 978 2012-08-09 08:28:32Z fricke
45	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
46	! Outflow boundary conditions for the velocity components can be set to Neumann
47	! conditions or to radiation conditions with a horizontal averaged phase
48	! velocity.
49	!
50	! 875 2012-04-02 15:35:15Z gryschka
51	! Bugfix in case of dirichlet inflow bc at the right or north boundary
52	!
53	! 767 2011-10-14 06:39:12Z raasch
54	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
55	!
56	! 667 2010-12-23 12:06:00Z suehring/gryschka
57	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
58	! Removed mirror boundary conditions for u and v at the bottom in case of
59	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
60	! in init_3d_model
61	!
62	! 107 2007-08-17 13:54:45Z raasch
63	! Boundary conditions for temperature adjusted for coupled runs,
64	! bugfixes for the radiation boundary conditions at the outflow: radiation
65	! conditions are used for every substep, phase speeds are calculated for the
66	! first Runge-Kutta substep only and then reused, several index values changed
67	!
68	! 95 2007-06-02 16:48:38Z raasch
69	! Boundary conditions for salinity added
70	!
71	! 75 2007-03-22 09:54:05Z raasch
72	! The "main" part sets conditions for time level t+dt instead of level t,
73	! outflow boundary conditions changed from Neumann to radiation condition,
74	! uxrp, vynp eliminated, moisture renamed humidity
75	!
76	! 19 2007-02-23 04:53:48Z raasch
77	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
78	! gridpoints are now calculated by the prognostic equation,
79	! Dirichlet and zero gradient condition for pt established at top boundary
80	!
81	! RCS Log replace by Id keyword, revision history cleaned up
82	!
83	! Revision 1.15 2006/02/23 09:54:55 raasch
84	! Surface boundary conditions in case of topography: nzb replaced by
85	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
86	! unchanged (still using nzb) because a non-flat topography must use a
87	! Prandtl-layer, which don't requires explicit setting of the surface values.
88	!
89	! Revision 1.1 1997/09/12 06:21:34 raasch
90	! Initial revision
91	!
92	!
93	! Description:
94	! ------------
95	! Boundary conditions for the prognostic quantities (range='main').
96	! In case of non-cyclic lateral boundaries the conditions for velocities at
97	! the outflow are set after the pressure solver has been called (range=
98	! 'outflow_uvw').
99	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
100	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
101	! handled in routine exchange_horiz. Pressure boundary conditions are
102	! explicitly set in routines pres, poisfft, poismg and sor.
103	!------------------------------------------------------------------------------!
104
105	USE arrays_3d
106	USE control_parameters
107	USE grid_variables
108	USE indices
109	USE pegrid
110
111	IMPLICIT NONE
112
113	INTEGER :: i, j, k
114
115	REAL :: c_max, denom
116
117
118	!
119	!-- Bottom boundary
120	IF ( ibc_uv_b == 1 ) THEN
121	!$acc kernels present( u_p, v_p )
122	u_p(nzb,:,:) = u_p(nzb+1,:,:)
123	v_p(nzb,:,:) = v_p(nzb+1,:,:)
124	!$acc end kernels
125	ENDIF
126
127	!$acc kernels present( nzb_w_inner, w_p )
128	DO i = nxlg, nxrg
129	DO j = nysg, nyng
130	w_p(nzb_w_inner(j,i),j,i) = 0.0
131	ENDDO
132	ENDDO
133	!$acc end kernels
134
135	!
136	!-- Top boundary
137	IF ( ibc_uv_t == 0 ) THEN
138	!$acc kernels present( u_init, u_p, v_init, v_p )
139	u_p(nzt+1,:,:) = u_init(nzt+1)
140	v_p(nzt+1,:,:) = v_init(nzt+1)
141	!$acc end kernels
142	ELSE
143	!$acc kernels present( u_p, v_p )
144	u_p(nzt+1,:,:) = u_p(nzt,:,:)
145	v_p(nzt+1,:,:) = v_p(nzt,:,:)
146	!$acc end kernels
147	ENDIF
148	!$acc kernels present( w_p )
149	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
150	!$acc end kernels
151
152	!
153	!-- Temperature at bottom boundary.
154	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
155	!-- the sea surface temperature of the coupled ocean model.
156	IF ( ibc_pt_b == 0 ) THEN
157	!$acc kernels present( nzb_s_inner, pt, pt_p )
158	DO i = nxlg, nxrg
159	DO j = nysg, nyng
160	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
161	ENDDO
162	ENDDO
163	!$acc end kernels
164	ELSEIF ( ibc_pt_b == 1 ) THEN
165	!$acc kernels present( nzb_s_inner, pt_p )
166	DO i = nxlg, nxrg
167	DO j = nysg, nyng
168	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
169	ENDDO
170	ENDDO
171	!$acc end kernels
172	ENDIF
173
174	!
175	!-- Temperature at top boundary
176	IF ( ibc_pt_t == 0 ) THEN
177	!$acc kernels present( pt, pt_p )
178	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
179	!$acc end kernels
180	ELSEIF ( ibc_pt_t == 1 ) THEN
181	!$acc kernels present( pt_p )
182	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
183	!$acc end kernels
184	ELSEIF ( ibc_pt_t == 2 ) THEN
185	!$acc kernels present( dzu, pt_p )
186	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
187	!$acc end kernels
188	ENDIF
189
190	!
191	!-- Boundary conditions for TKE
192	!-- Generally Neumann conditions with de/dz=0 are assumed
193	IF ( .NOT. constant_diffusion ) THEN
194	!$acc kernels present( e_p, nzb_s_inner )
195	DO i = nxlg, nxrg
196	DO j = nysg, nyng
197	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
198	ENDDO
199	ENDDO
200	e_p(nzt+1,:,:) = e_p(nzt,:,:)
201	!$acc end kernels
202	ENDIF
203
204	!
205	!-- Boundary conditions for salinity
206	IF ( ocean ) THEN
207	!
208	!-- Bottom boundary: Neumann condition because salinity flux is always
209	!-- given
210	DO i = nxlg, nxrg
211	DO j = nysg, nyng
212	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
213	ENDDO
214	ENDDO
215
216	!
217	!-- Top boundary: Dirichlet or Neumann
218	IF ( ibc_sa_t == 0 ) THEN
219	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
220	ELSEIF ( ibc_sa_t == 1 ) THEN
221	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
222	ENDIF
223
224	ENDIF
225
226	!
227	!-- Boundary conditions for total water content or scalar,
228	!-- bottom and top boundary (see also temperature)
229	IF ( humidity .OR. passive_scalar ) THEN
230	!
231	!-- Surface conditions for constant_humidity_flux
232	IF ( ibc_q_b == 0 ) THEN
233	DO i = nxlg, nxrg
234	DO j = nysg, nyng
235	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
236	ENDDO
237	ENDDO
238	ELSE
239	DO i = nxlg, nxrg
240	DO j = nysg, nyng
241	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
242	ENDDO
243	ENDDO
244	ENDIF
245	!
246	!-- Top boundary
247	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
248
249	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
250	precipitation ) THEN
251	!
252	!-- Surface conditions rain water (Neumann)
253	DO i = nxlg, nxrg
254	DO j = nysg, nyng
255	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
256	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
257	ENDDO
258	ENDDO
259	!
260	!-- Top boundary condition for rain water (Neumann)
261	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
262	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
263
264	ENDIF
265	!
266	!-- In case of inflow at the south boundary the boundary for v is at nys
267	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
268	!-- Since in prognostic_equations (cache optimized version) these levels are
269	!-- handled as a prognostic level, boundary values have to be restored here.
270	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
271	IF ( inflow_s ) THEN
272	v_p(:,nys,:) = v_p(:,nys-1,:)
273	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
274	ELSEIF ( inflow_n ) THEN
275	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
276	ELSEIF ( inflow_l ) THEN
277	u_p(:,:,nxl) = u_p(:,:,nxl-1)
278	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
279	ELSEIF ( inflow_r ) THEN
280	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
281	ENDIF
282
283	!
284	!-- Lateral boundary conditions for scalar quantities at the outflow
285	IF ( outflow_s ) THEN
286	pt_p(:,nys-1,:) = pt_p(:,nys,:)
287	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
288	IF ( humidity .OR. passive_scalar ) THEN
289	q_p(:,nys-1,:) = q_p(:,nys,:)
290	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
291	precipitation) THEN
292	qr_p(:,nys-1,:) = qr_p(:,nys,:)
293	nr_p(:,nys-1,:) = nr_p(:,nys,:)
294	ENDIF
295	ENDIF
296	ELSEIF ( outflow_n ) THEN
297	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
298	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
299	IF ( humidity .OR. passive_scalar ) THEN
300	q_p(:,nyn+1,:) = q_p(:,nyn,:)
301	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
302	precipitation ) THEN
303	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
304	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
305	ENDIF
306	ENDIF
307	ELSEIF ( outflow_l ) THEN
308	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
309	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
310	IF ( humidity .OR. passive_scalar ) THEN
311	q_p(:,:,nxl-1) = q_p(:,:,nxl)
312	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
313	precipitation ) THEN
314	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
315	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
316	ENDIF
317	ENDIF
318	ELSEIF ( outflow_r ) THEN
319	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
320	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
321	IF ( humidity .OR. passive_scalar ) THEN
322	q_p(:,:,nxr+1) = q_p(:,:,nxr)
323	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
324	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
325	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
326	ENDIF
327	ENDIF
328	ENDIF
329
330	ENDIF
331
332	!
333	!-- Neumann or Radiation boundary condition for the velocities at the
334	!-- respective outflow
335	IF ( outflow_s ) THEN
336
337	IF ( bc_ns_dirneu ) THEN
338	u(:,-1,:) = u(:,0,:)
339	v(:,0,:) = v(:,1,:)
340	w(:,-1,:) = w(:,0,:)
341	ELSEIF ( bc_ns_dirrad ) THEN
342
343	c_max = dy / dt_3d
344
345	c_u_m_l = 0.0
346	c_v_m_l = 0.0
347	c_w_m_l = 0.0
348
349	c_u_m = 0.0
350	c_v_m = 0.0
351	c_w_m = 0.0
352
353	!
354	!-- Calculate the phase speeds for u, v, and w, first local and then
355	!-- average along the outflow boundary.
356	DO k = nzb+1, nzt+1
357	DO i = nxl, nxr
358
359	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
360
361	IF ( denom /= 0.0 ) THEN
362	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
363	IF ( c_u(k,i) < 0.0 ) THEN
364	c_u(k,i) = 0.0
365	ELSEIF ( c_u(k,i) > c_max ) THEN
366	c_u(k,i) = c_max
367	ENDIF
368	ELSE
369	c_u(k,i) = c_max
370	ENDIF
371
372	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
373
374	IF ( denom /= 0.0 ) THEN
375	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
376	IF ( c_v(k,i) < 0.0 ) THEN
377	c_v(k,i) = 0.0
378	ELSEIF ( c_v(k,i) > c_max ) THEN
379	c_v(k,i) = c_max
380	ENDIF
381	ELSE
382	c_v(k,i) = c_max
383	ENDIF
384
385	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
386
387	IF ( denom /= 0.0 ) THEN
388	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
389	IF ( c_w(k,i) < 0.0 ) THEN
390	c_w(k,i) = 0.0
391	ELSEIF ( c_w(k,i) > c_max ) THEN
392	c_w(k,i) = c_max
393	ENDIF
394	ELSE
395	c_w(k,i) = c_max
396	ENDIF
397
398	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
399	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
400	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
401
402	ENDDO
403	ENDDO
404
405	#if defined( __parallel )
406	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
407	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
408	MPI_SUM, comm1dx, ierr )
409	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
410	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
411	MPI_SUM, comm1dx, ierr )
412	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
413	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
414	MPI_SUM, comm1dx, ierr )
415	#else
416	c_u_m = c_u_m_l
417	c_v_m = c_v_m_l
418	c_w_m = c_w_m_l
419	#endif
420
421	c_u_m = c_u_m / (nx+1)
422	c_v_m = c_v_m / (nx+1)
423	c_w_m = c_w_m / (nx+1)
424
425	!
426	!-- Save old timelevels for the next timestep
427	IF ( intermediate_timestep_count == 1 ) THEN
428	u_m_s(:,:,:) = u(:,0:1,:)
429	v_m_s(:,:,:) = v(:,1:2,:)
430	w_m_s(:,:,:) = w(:,0:1,:)
431	ENDIF
432
433	!
434	!-- Calculate the new velocities
435	DO k = nzb+1, nzt+1
436	DO i = nxlg, nxrg
437	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
438	( u(k,-1,i) - u(k,0,i) ) * ddy
439
440	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
441	( v(k,0,i) - v(k,1,i) ) * ddy
442
443	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
444	( w(k,-1,i) - w(k,0,i) ) * ddy
445	ENDDO
446	ENDDO
447
448	!
449	!-- Bottom boundary at the outflow
450	IF ( ibc_uv_b == 0 ) THEN
451	u_p(nzb,-1,:) = 0.0
452	v_p(nzb,0,:) = 0.0
453	ELSE
454	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
455	v_p(nzb,0,:) = v_p(nzb+1,0,:)
456	ENDIF
457	w_p(nzb,-1,:) = 0.0
458
459	!
460	!-- Top boundary at the outflow
461	IF ( ibc_uv_t == 0 ) THEN
462	u_p(nzt+1,-1,:) = u_init(nzt+1)
463	v_p(nzt+1,0,:) = v_init(nzt+1)
464	ELSE
465	u_p(nzt+1,-1,:) = u(nzt,-1,:)
466	v_p(nzt+1,0,:) = v(nzt,0,:)
467	ENDIF
468	w_p(nzt:nzt+1,-1,:) = 0.0
469
470	ENDIF
471
472	ENDIF
473
474	IF ( outflow_n ) THEN
475
476	IF ( bc_ns_neudir ) THEN
477	u(:,ny+1,:) = u(:,ny,:)
478	v(:,ny+1,:) = v(:,ny,:)
479	w(:,ny+1,:) = w(:,ny,:)
480	ELSEIF ( bc_ns_dirrad ) THEN
481
482	c_max = dy / dt_3d
483
484	c_u_m_l = 0.0
485	c_v_m_l = 0.0
486	c_w_m_l = 0.0
487
488	c_u_m = 0.0
489	c_v_m = 0.0
490	c_w_m = 0.0
491
492	!
493	!-- Calculate the phase speeds for u, v, and w, first local and then
494	!-- average along the outflow boundary.
495	DO k = nzb+1, nzt+1
496	DO i = nxl, nxr
497
498	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
499
500	IF ( denom /= 0.0 ) THEN
501	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
502	IF ( c_u(k,i) < 0.0 ) THEN
503	c_u(k,i) = 0.0
504	ELSEIF ( c_u(k,i) > c_max ) THEN
505	c_u(k,i) = c_max
506	ENDIF
507	ELSE
508	c_u(k,i) = c_max
509	ENDIF
510
511	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
512
513	IF ( denom /= 0.0 ) THEN
514	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
515	IF ( c_v(k,i) < 0.0 ) THEN
516	c_v(k,i) = 0.0
517	ELSEIF ( c_v(k,i) > c_max ) THEN
518	c_v(k,i) = c_max
519	ENDIF
520	ELSE
521	c_v(k,i) = c_max
522	ENDIF
523
524	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
525
526	IF ( denom /= 0.0 ) THEN
527	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
528	IF ( c_w(k,i) < 0.0 ) THEN
529	c_w(k,i) = 0.0
530	ELSEIF ( c_w(k,i) > c_max ) THEN
531	c_w(k,i) = c_max
532	ENDIF
533	ELSE
534	c_w(k,i) = c_max
535	ENDIF
536
537	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
538	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
539	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
540
541	ENDDO
542	ENDDO
543
544	#if defined( __parallel )
545	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
546	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
547	MPI_SUM, comm1dx, ierr )
548	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
549	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
550	MPI_SUM, comm1dx, ierr )
551	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
552	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
553	MPI_SUM, comm1dx, ierr )
554	#else
555	c_u_m = c_u_m_l
556	c_v_m = c_v_m_l
557	c_w_m = c_w_m_l
558	#endif
559
560	c_u_m = c_u_m / (nx+1)
561	c_v_m = c_v_m / (nx+1)
562	c_w_m = c_w_m / (nx+1)
563
564	!
565	!-- Save old timelevels for the next timestep
566	IF ( intermediate_timestep_count == 1 ) THEN
567	u_m_n(:,:,:) = u(:,ny-1:ny,:)
568	v_m_n(:,:,:) = v(:,ny-1:ny,:)
569	w_m_n(:,:,:) = w(:,ny-1:ny,:)
570	ENDIF
571
572	!
573	!-- Calculate the new velocities
574	DO k = nzb+1, nzt+1
575	DO i = nxlg, nxrg
576	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
577	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
578
579	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
580	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
581
582	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
583	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
584	ENDDO
585	ENDDO
586
587	!
588	!-- Bottom boundary at the outflow
589	IF ( ibc_uv_b == 0 ) THEN
590	u_p(nzb,ny+1,:) = 0.0
591	v_p(nzb,ny+1,:) = 0.0
592	ELSE
593	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
594	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
595	ENDIF
596	w_p(nzb,ny+1,:) = 0.0
597
598	!
599	!-- Top boundary at the outflow
600	IF ( ibc_uv_t == 0 ) THEN
601	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
602	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
603	ELSE
604	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
605	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
606	ENDIF
607	w_p(nzt:nzt+1,ny+1,:) = 0.0
608
609	ENDIF
610
611	ENDIF
612
613	IF ( outflow_l ) THEN
614
615	IF ( bc_lr_neudir ) THEN
616	u(:,:,-1) = u(:,:,0)
617	v(:,:,0) = v(:,:,1)
618	w(:,:,-1) = w(:,:,0)
619	ELSEIF ( bc_ns_dirrad ) THEN
620
621	c_max = dx / dt_3d
622
623	c_u_m_l = 0.0
624	c_v_m_l = 0.0
625	c_w_m_l = 0.0
626
627	c_u_m = 0.0
628	c_v_m = 0.0
629	c_w_m = 0.0
630
631	!
632	!-- Calculate the phase speeds for u, v, and w, first local and then
633	!-- average along the outflow boundary.
634	DO k = nzb+1, nzt+1
635	DO j = nys, nyn
636
637	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
638
639	IF ( denom /= 0.0 ) THEN
640	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
641	IF ( c_u(k,j) < 0.0 ) THEN
642	c_u(k,j) = 0.0
643	ELSEIF ( c_u(k,j) > c_max ) THEN
644	c_u(k,j) = c_max
645	ENDIF
646	ELSE
647	c_u(k,j) = c_max
648	ENDIF
649
650	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
651
652	IF ( denom /= 0.0 ) THEN
653	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
654	IF ( c_v(k,j) < 0.0 ) THEN
655	c_v(k,j) = 0.0
656	ELSEIF ( c_v(k,j) > c_max ) THEN
657	c_v(k,j) = c_max
658	ENDIF
659	ELSE
660	c_v(k,j) = c_max
661	ENDIF
662
663	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
664
665	IF ( denom /= 0.0 ) THEN
666	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
667	IF ( c_w(k,j) < 0.0 ) THEN
668	c_w(k,j) = 0.0
669	ELSEIF ( c_w(k,j) > c_max ) THEN
670	c_w(k,j) = c_max
671	ENDIF
672	ELSE
673	c_w(k,j) = c_max
674	ENDIF
675
676	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
677	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
678	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
679
680	ENDDO
681	ENDDO
682
683	#if defined( __parallel )
684	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
685	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
686	MPI_SUM, comm1dy, ierr )
687	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
688	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
689	MPI_SUM, comm1dy, ierr )
690	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
691	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
692	MPI_SUM, comm1dy, ierr )
693	#else
694	c_u_m = c_u_m_l
695	c_v_m = c_v_m_l
696	c_w_m = c_w_m_l
697	#endif
698
699	c_u_m = c_u_m / (ny+1)
700	c_v_m = c_v_m / (ny+1)
701	c_w_m = c_w_m / (ny+1)
702
703	!
704	!-- Save old timelevels for the next timestep
705	IF ( intermediate_timestep_count == 1 ) THEN
706	u_m_l(:,:,:) = u(:,:,1:2)
707	v_m_l(:,:,:) = v(:,:,0:1)
708	w_m_l(:,:,:) = w(:,:,0:1)
709	ENDIF
710
711	!
712	!-- Calculate the new velocities
713	DO k = nzb+1, nzt+1
714	DO j = nysg, nyng
715	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
716	( u(k,j,0) - u(k,j,1) ) * ddx
717
718	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
719	( v(k,j,-1) - v(k,j,0) ) * ddx
720
721	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
722	( w(k,j,-1) - w(k,j,0) ) * ddx
723	ENDDO
724	ENDDO
725
726	!
727	!-- Bottom boundary at the outflow
728	IF ( ibc_uv_b == 0 ) THEN
729	u_p(nzb,:,0) = 0.0
730	v_p(nzb,:,-1) = 0.0
731	ELSE
732	u_p(nzb,:,0) = u_p(nzb+1,:,0)
733	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
734	ENDIF
735	w_p(nzb,:,-1) = 0.0
736
737	!
738	!-- Top boundary at the outflow
739	IF ( ibc_uv_t == 0 ) THEN
740	u_p(nzt+1,:,-1) = u_init(nzt+1)
741	v_p(nzt+1,:,-1) = v_init(nzt+1)
742	ELSE
743	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
744	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
745	ENDIF
746	w_p(nzt:nzt+1,:,-1) = 0.0
747
748	ENDIF
749
750	ENDIF
751
752	IF ( outflow_r ) THEN
753
754	IF ( bc_lr_dirneu ) THEN
755	u(:,:,nx+1) = u(:,:,nx)
756	v(:,:,nx+1) = v(:,:,nx)
757	w(:,:,nx+1) = w(:,:,nx)
758	ELSEIF ( bc_ns_dirrad ) THEN
759
760	c_max = dx / dt_3d
761
762	c_u_m_l = 0.0
763	c_v_m_l = 0.0
764	c_w_m_l = 0.0
765
766	c_u_m = 0.0
767	c_v_m = 0.0
768	c_w_m = 0.0
769
770	!
771	!-- Calculate the phase speeds for u, v, and w, first local and then
772	!-- average along the outflow boundary.
773	DO k = nzb+1, nzt+1
774	DO j = nys, nyn
775
776	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
777
778	IF ( denom /= 0.0 ) THEN
779	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
780	IF ( c_u(k,j) < 0.0 ) THEN
781	c_u(k,j) = 0.0
782	ELSEIF ( c_u(k,j) > c_max ) THEN
783	c_u(k,j) = c_max
784	ENDIF
785	ELSE
786	c_u(k,j) = c_max
787	ENDIF
788
789	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
790
791	IF ( denom /= 0.0 ) THEN
792	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
793	IF ( c_v(k,j) < 0.0 ) THEN
794	c_v(k,j) = 0.0
795	ELSEIF ( c_v(k,j) > c_max ) THEN
796	c_v(k,j) = c_max
797	ENDIF
798	ELSE
799	c_v(k,j) = c_max
800	ENDIF
801
802	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
803
804	IF ( denom /= 0.0 ) THEN
805	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
806	IF ( c_w(k,j) < 0.0 ) THEN
807	c_w(k,j) = 0.0
808	ELSEIF ( c_w(k,j) > c_max ) THEN
809	c_w(k,j) = c_max
810	ENDIF
811	ELSE
812	c_w(k,j) = c_max
813	ENDIF
814
815	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
816	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
817	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
818
819	ENDDO
820	ENDDO
821
822	#if defined( __parallel )
823	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
824	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
825	MPI_SUM, comm1dy, ierr )
826	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
827	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
828	MPI_SUM, comm1dy, ierr )
829	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
830	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
831	MPI_SUM, comm1dy, ierr )
832	#else
833	c_u_m = c_u_m_l
834	c_v_m = c_v_m_l
835	c_w_m = c_w_m_l
836	#endif
837
838	c_u_m = c_u_m / (ny+1)
839	c_v_m = c_v_m / (ny+1)
840	c_w_m = c_w_m / (ny+1)
841
842	!
843	!-- Save old timelevels for the next timestep
844	IF ( intermediate_timestep_count == 1 ) THEN
845	u_m_r(:,:,:) = u(:,:,nx-1:nx)
846	v_m_r(:,:,:) = v(:,:,nx-1:nx)
847	w_m_r(:,:,:) = w(:,:,nx-1:nx)
848	ENDIF
849
850	!
851	!-- Calculate the new velocities
852	DO k = nzb+1, nzt+1
853	DO j = nysg, nyng
854	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
855	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
856
857	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
858	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
859
860	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
861	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
862	ENDDO
863	ENDDO
864
865	!
866	!-- Bottom boundary at the outflow
867	IF ( ibc_uv_b == 0 ) THEN
868	u_p(nzb,:,nx+1) = 0.0
869	v_p(nzb,:,nx+1) = 0.0
870	ELSE
871	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
872	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
873	ENDIF
874	w_p(nzb,:,nx+1) = 0.0
875
876	!
877	!-- Top boundary at the outflow
878	IF ( ibc_uv_t == 0 ) THEN
879	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
880	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
881	ELSE
882	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
883	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
884	ENDIF
885	w(nzt:nzt+1,:,nx+1) = 0.0
886
887	ENDIF
888
889	ENDIF
890
891	END SUBROUTINE boundary_conds

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