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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1036

Last change on this file since 1036 was 1036, checked in by raasch, 12 years ago
code has been put under the GNU General Public License (v3)
Property svn:keywords set to `Id`
File size: 26.8 KB

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

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