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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3275

Last change on this file since 3275 was 3274, checked in by knoop, 6 years ago
Modularization of all bulk cloud physics code components
Property svn:keywords set to `Id`
File size: 46.5 KB

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1	!> @file boundary_conds.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! 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 1997-2018 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 3274 2018-09-24 15:42:55Z knoop $
27	! Modularization of all bulk cloud physics code components
28	!
29	! 3241 2018-09-12 15:02:00Z raasch
30	! unused variables removed
31	!
32	! 3183 2018-07-27 14:25:55Z suehring
33	! Rename some variables concerning LES-LES as well as offline nesting
34	!
35	! 3182 2018-07-27 13:36:03Z suehring
36	! - Use wall function for e_p and diss_p in case of rans_tke_e
37	! - move limitation of diss_p from tcm_prognostic
38	!
39	! 2938 2018-03-27 15:52:42Z suehring
40	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
41	! and if parent model operates in RANS mode but child model in LES mode.
42	! mode
43	!
44	! 2793 2018-02-07 10:54:33Z suehring
45	! Removed preprocessor directive __chem
46	!
47	! 2718 2018-01-02 08:49:38Z maronga
48	! Corrected "Former revisions" section
49	!
50	! 2696 2017-12-14 17:12:51Z kanani
51	! Change in file header (GPL part)
52	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
53	! Implementation of chemistry module (FK)
54	!
55	! 2569 2017-10-20 11:54:42Z kanani
56	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
57	!
58	! 2365 2017-08-21 14:59:59Z kanani
59	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
60	! on fine grid (SadiqHuq)
61	!
62	! 2320 2017-07-21 12:47:43Z suehring
63	! Remove unused control parameter large_scale_forcing from only-list
64	!
65	! 2292 2017-06-20 09:51:42Z schwenkel
66	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
67	! includes two more prognostic equations for cloud drop concentration (nc)
68	! and cloud water content (qc).
69	!
70	! 2233 2017-05-30 18:08:54Z suehring
71	!
72	! 2232 2017-05-30 17:47:52Z suehring
73	! Set boundary conditions on topography top using flag method.
74	!
75	! 2118 2017-01-17 16:38:49Z raasch
76	! OpenACC directives removed
77	!
78	! 2000 2016-08-20 18:09:15Z knoop
79	! Forced header and separation lines into 80 columns
80	!
81	! 1992 2016-08-12 15:14:59Z suehring
82	! Adjustments for top boundary condition for passive scalar
83	!
84	! 1960 2016-07-12 16:34:24Z suehring
85	! Treat humidity and passive scalar separately
86	!
87	! 1823 2016-04-07 08:57:52Z hoffmann
88	! Initial version of purely vertical nesting introduced.
89	!
90	! 1822 2016-04-07 07:49:42Z hoffmann
91	! icloud_scheme removed. microphyisics_seifert added.
92	!
93	! 1764 2016-02-28 12:45:19Z raasch
94	! index bug for u_p at left outflow removed
95	!
96	! 1762 2016-02-25 12:31:13Z hellstea
97	! Introduction of nested domain feature
98	!
99	! 1742 2016-01-13 09:50:06Z raasch
100	! bugfix for outflow Neumann boundary conditions at bottom and top
101	!
102	! 1717 2015-11-11 15:09:47Z raasch
103	! Bugfix: index error in outflow conditions for left boundary
104	!
105	! 1682 2015-10-07 23:56:08Z knoop
106	! Code annotations made doxygen readable
107	!
108	! 1410 2014-05-23 12:16:18Z suehring
109	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
110	! top
111	!
112	! 1399 2014-05-07 11:16:25Z heinze
113	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
114	! is used.
115	!
116	! 1398 2014-05-07 11:15:00Z heinze
117	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
118	! for large_scale_forcing
119	!
120	! 1380 2014-04-28 12:40:45Z heinze
121	! Adjust Dirichlet-condition at the top for pt in case of nudging
122	!
123	! 1361 2014-04-16 15:17:48Z hoffmann
124	! Bottom and top boundary conditions of rain water content (qr) and
125	! rain drop concentration (nr) changed to Dirichlet
126	!
127	! 1353 2014-04-08 15:21:23Z heinze
128	! REAL constants provided with KIND-attribute
129	!
130	! 1320 2014-03-20 08:40:49Z raasch
131	! ONLY-attribute added to USE-statements,
132	! kind-parameters added to all INTEGER and REAL declaration statements,
133	! kinds are defined in new module kinds,
134	! revision history before 2012 removed,
135	! comment fields (!:) to be used for variable explanations added to
136	! all variable declaration statements
137	!
138	! 1257 2013-11-08 15:18:40Z raasch
139	! loop independent clauses added
140	!
141	! 1241 2013-10-30 11:36:58Z heinze
142	! Adjust ug and vg at each timestep in case of large_scale_forcing
143	!
144	! 1159 2013-05-21 11:58:22Z fricke
145	! Bugfix: Neumann boundary conditions for the velocity components at the
146	! outflow are in fact radiation boundary conditions using the maximum phase
147	! velocity that ensures numerical stability (CFL-condition).
148	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
149	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
150	! u_p, v_p, w_p
151	!
152	! 1115 2013-03-26 18:16:16Z hoffmann
153	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
154	! boundary-conditions
155	!
156	! 1113 2013-03-10 02:48:14Z raasch
157	! GPU-porting
158	! dummy argument "range" removed
159	! Bugfix: wrong index in loops of radiation boundary condition
160	!
161	! 1053 2012-11-13 17:11:03Z hoffmann
162	! boundary conditions for the two new prognostic equations (nr, qr) of the
163	! two-moment cloud scheme
164	!
165	! 1036 2012-10-22 13:43:42Z raasch
166	! code put under GPL (PALM 3.9)
167	!
168	! 996 2012-09-07 10:41:47Z raasch
169	! little reformatting
170	!
171	! 978 2012-08-09 08:28:32Z fricke
172	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
173	! Outflow boundary conditions for the velocity components can be set to Neumann
174	! conditions or to radiation conditions with a horizontal averaged phase
175	! velocity.
176	!
177	! 875 2012-04-02 15:35:15Z gryschka
178	! Bugfix in case of dirichlet inflow bc at the right or north boundary
179	!
180	! Revision 1.1 1997/09/12 06:21:34 raasch
181	! Initial revision
182	!
183	!
184	! Description:
185	! ------------
186	!> Boundary conditions for the prognostic quantities.
187	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
188	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
189	!> handled in routine exchange_horiz. Pressure boundary conditions are
190	!> explicitly set in routines pres, poisfft, poismg and sor.
191	!------------------------------------------------------------------------------!
192	SUBROUTINE boundary_conds
193
194
195	USE arrays_3d, &
196	ONLY: c_u, c_u_m, c_u_m_l, c_v, c_v_m, c_v_m_l, c_w, c_w_m, c_w_m_l, &
197	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
198	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
199	u_m_r, u_m_s, u_p, v, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
200	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
201
202	USE basic_constants_and_equations_mod, &
203	ONLY: kappa
204
205	USE chemistry_model_mod, &
206	ONLY: chem_boundary_conds
207
208	USE control_parameters, &
209	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
210	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
211	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
212	child_domain, constant_diffusion, coupling_mode, &
213	dt_3d, humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
214	ibc_s_t,ibc_sa_t, ibc_uv_b, ibc_uv_t, &
215	intermediate_timestep_count, &
216	nesting_offline, nudging, &
217	ocean, passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
218
219	USE grid_variables, &
220	ONLY: ddx, ddy, dx, dy
221
222	USE indices, &
223	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
224	nzb, nzt
225
226	USE kinds
227
228	USE bulk_cloud_model_mod, &
229	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
230
231	USE pegrid
232
233	USE pmc_interface, &
234	ONLY : nesting_mode, rans_mode_parent
235
236	USE surface_mod, &
237	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
238	surf_usm_h, surf_usm_v
239
240	USE turbulence_closure_mod, &
241	ONLY: c_0
242
243	IMPLICIT NONE
244
245	INTEGER(iwp) :: i !< grid index x direction
246	INTEGER(iwp) :: j !< grid index y direction
247	INTEGER(iwp) :: k !< grid index z direction
248	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
249	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
250	INTEGER(iwp) :: m !< running index surface elements
251
252	REAL(wp) :: c_max !<
253	REAL(wp) :: denom !<
254
255
256	!
257	!-- Bottom boundary
258	IF ( ibc_uv_b == 1 ) THEN
259	u_p(nzb,:,:) = u_p(nzb+1,:,:)
260	v_p(nzb,:,:) = v_p(nzb+1,:,:)
261	ENDIF
262	!
263	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
264	!-- of downward-facing surfaces.
265	DO l = 0, 1
266	!
267	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
268	!-- for downward-facing surfaces at topography bottom (k+1).
269	kb = MERGE( -1, 1, l == 0 )
270	!$OMP PARALLEL DO PRIVATE( i, j, k )
271	DO m = 1, bc_h(l)%ns
272	i = bc_h(l)%i(m)
273	j = bc_h(l)%j(m)
274	k = bc_h(l)%k(m)
275	w_p(k+kb,j,i) = 0.0_wp
276	ENDDO
277	ENDDO
278
279	!
280	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
281	IF ( ibc_uv_t == 0 ) THEN
282	u_p(nzt+1,:,:) = u_init(nzt+1)
283	v_p(nzt+1,:,:) = v_init(nzt+1)
284	ELSEIF ( ibc_uv_t == 1 ) THEN
285	u_p(nzt+1,:,:) = u_p(nzt,:,:)
286	v_p(nzt+1,:,:) = v_p(nzt,:,:)
287	ENDIF
288
289	!
290	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
291	IF ( .NOT. child_domain .AND. &
292	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
293	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
294	ENDIF
295
296	!
297	!-- Temperature at bottom and top boundary.
298	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
299	!-- the sea surface temperature of the coupled ocean model.
300	!-- Dirichlet
301	IF ( ibc_pt_b == 0 ) THEN
302	DO l = 0, 1
303	!
304	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
305	!-- for downward-facing surfaces at topography bottom (k+1).
306	kb = MERGE( -1, 1, l == 0 )
307	!$OMP PARALLEL DO PRIVATE( i, j, k )
308	DO m = 1, bc_h(l)%ns
309	i = bc_h(l)%i(m)
310	j = bc_h(l)%j(m)
311	k = bc_h(l)%k(m)
312	pt_p(k+kb,j,i) = pt(k+kb,j,i)
313	ENDDO
314	ENDDO
315	!
316	!-- Neumann, zero-gradient
317	ELSEIF ( ibc_pt_b == 1 ) THEN
318	DO l = 0, 1
319	!
320	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
321	!-- for downward-facing surfaces at topography bottom (k+1).
322	kb = MERGE( -1, 1, l == 0 )
323	!$OMP PARALLEL DO PRIVATE( i, j, k )
324	DO m = 1, bc_h(l)%ns
325	i = bc_h(l)%i(m)
326	j = bc_h(l)%j(m)
327	k = bc_h(l)%k(m)
328	pt_p(k+kb,j,i) = pt_p(k,j,i)
329	ENDDO
330	ENDDO
331	ENDIF
332
333	!
334	!-- Temperature at top boundary
335	IF ( ibc_pt_t == 0 ) THEN
336	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
337	!
338	!-- In case of nudging adjust top boundary to pt which is
339	!-- read in from NUDGING-DATA
340	IF ( nudging ) THEN
341	pt_p(nzt+1,:,:) = pt_init(nzt+1)
342	ENDIF
343	ELSEIF ( ibc_pt_t == 1 ) THEN
344	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
345	ELSEIF ( ibc_pt_t == 2 ) THEN
346	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
347	ENDIF
348
349	!
350	!-- Boundary conditions for TKE.
351	!-- Generally Neumann conditions with de/dz=0 are assumed.
352	IF ( .NOT. constant_diffusion ) THEN
353
354	IF ( .NOT. rans_tke_e ) THEN
355	DO l = 0, 1
356	!
357	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
358	!-- for downward-facing surfaces at topography bottom (k+1).
359	kb = MERGE( -1, 1, l == 0 )
360	!$OMP PARALLEL DO PRIVATE( i, j, k )
361	DO m = 1, bc_h(l)%ns
362	i = bc_h(l)%i(m)
363	j = bc_h(l)%j(m)
364	k = bc_h(l)%k(m)
365	e_p(k+kb,j,i) = e_p(k,j,i)
366	ENDDO
367	ENDDO
368	ELSE
369	!
370	!-- Use wall function within constant-flux layer
371	!-- Upward-facing surfaces
372	!-- Default surfaces
373	DO m = 1, surf_def_h(0)%ns
374	i = surf_def_h(0)%i(m)
375	j = surf_def_h(0)%j(m)
376	k = surf_def_h(0)%k(m)
377	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
378	ENDDO
379	!
380	!-- Natural surfaces
381	DO m = 1, surf_lsm_h%ns
382	i = surf_lsm_h%i(m)
383	j = surf_lsm_h%j(m)
384	k = surf_lsm_h%k(m)
385	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
386	ENDDO
387	!
388	!-- Urban surfaces
389	DO m = 1, surf_usm_h%ns
390	i = surf_usm_h%i(m)
391	j = surf_usm_h%j(m)
392	k = surf_usm_h%k(m)
393	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
394	ENDDO
395	!
396	!-- Vertical surfaces
397	DO l = 0, 3
398	!
399	!-- Default surfaces
400	DO m = 1, surf_def_v(l)%ns
401	i = surf_def_v(l)%i(m)
402	j = surf_def_v(l)%j(m)
403	k = surf_def_v(l)%k(m)
404	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
405	ENDDO
406	!
407	!-- Natural surfaces
408	DO m = 1, surf_lsm_v(l)%ns
409	i = surf_lsm_v(l)%i(m)
410	j = surf_lsm_v(l)%j(m)
411	k = surf_lsm_v(l)%k(m)
412	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
413	ENDDO
414	!
415	!-- Urban surfaces
416	DO m = 1, surf_usm_v(l)%ns
417	i = surf_usm_v(l)%i(m)
418	j = surf_usm_v(l)%j(m)
419	k = surf_usm_v(l)%k(m)
420	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
421	ENDDO
422	ENDDO
423	ENDIF
424
425	IF ( .NOT. child_domain ) THEN
426	e_p(nzt+1,:,:) = e_p(nzt,:,:)
427	!
428	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
429	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
430	!-- top child boundaries.
431	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
432	!-- is treated in the nesting.
433	ELSE
434
435	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
436
437	e_p(nzt+1,:,:) = e_p(nzt,:,:)
438	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
439	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
440	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
441	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
442
443	ENDIF
444	ENDIF
445	ENDIF
446
447	!
448	!-- Boundary conditions for TKE dissipation rate.
449	IF ( rans_tke_e ) THEN
450	!
451	!-- Use wall function within constant-flux layer
452	!-- Upward-facing surfaces
453	!-- Default surfaces
454	DO m = 1, surf_def_h(0)%ns
455	i = surf_def_h(0)%i(m)
456	j = surf_def_h(0)%j(m)
457	k = surf_def_h(0)%k(m)
458	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
459	/ ( kappa * surf_def_h(0)%z_mo(m) )
460	ENDDO
461	!
462	!-- Natural surfaces
463	DO m = 1, surf_lsm_h%ns
464	i = surf_lsm_h%i(m)
465	j = surf_lsm_h%j(m)
466	k = surf_lsm_h%k(m)
467	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
468	/ ( kappa * surf_lsm_h%z_mo(m) )
469	ENDDO
470	!
471	!-- Urban surfaces
472	DO m = 1, surf_usm_h%ns
473	i = surf_usm_h%i(m)
474	j = surf_usm_h%j(m)
475	k = surf_usm_h%k(m)
476	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
477	/ ( kappa * surf_usm_h%z_mo(m) )
478	ENDDO
479	!
480	!-- Vertical surfaces
481	DO l = 0, 3
482	!
483	!-- Default surfaces
484	DO m = 1, surf_def_v(l)%ns
485	i = surf_def_v(l)%i(m)
486	j = surf_def_v(l)%j(m)
487	k = surf_def_v(l)%k(m)
488	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
489	/ ( kappa * surf_def_v(l)%z_mo(m) )
490	ENDDO
491	!
492	!-- Natural surfaces
493	DO m = 1, surf_lsm_v(l)%ns
494	i = surf_lsm_v(l)%i(m)
495	j = surf_lsm_v(l)%j(m)
496	k = surf_lsm_v(l)%k(m)
497	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
498	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
499	ENDDO
500	!
501	!-- Urban surfaces
502	DO m = 1, surf_usm_v(l)%ns
503	i = surf_usm_v(l)%i(m)
504	j = surf_usm_v(l)%j(m)
505	k = surf_usm_v(l)%k(m)
506	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
507	/ ( kappa * surf_usm_v(l)%z_mo(m) )
508	ENDDO
509	ENDDO
510	!
511	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
512	!-- minimum value
513	DO i = nxl, nxr
514	DO j = nys, nyn
515	DO k = nzb, nzt+1
516	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
517	2.0_wp * diss(k,j,i) ), &
518	0.1_wp * diss(k,j,i), &
519	0.0001_wp )
520	ENDDO
521	ENDDO
522	ENDDO
523
524	IF ( .NOT. child_domain ) THEN
525	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
526	ENDIF
527	ENDIF
528
529	!
530	!-- Boundary conditions for salinity
531	IF ( ocean ) THEN
532	!
533	!-- Bottom boundary: Neumann condition because salinity flux is always
534	!-- given.
535	DO l = 0, 1
536	!
537	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
538	!-- for downward-facing surfaces at topography bottom (k+1).
539	kb = MERGE( -1, 1, l == 0 )
540	!$OMP PARALLEL DO PRIVATE( i, j, k )
541	DO m = 1, bc_h(l)%ns
542	i = bc_h(l)%i(m)
543	j = bc_h(l)%j(m)
544	k = bc_h(l)%k(m)
545	sa_p(k+kb,j,i) = sa_p(k,j,i)
546	ENDDO
547	ENDDO
548	!
549	!-- Top boundary: Dirichlet or Neumann
550	IF ( ibc_sa_t == 0 ) THEN
551	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
552	ELSEIF ( ibc_sa_t == 1 ) THEN
553	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
554	ENDIF
555
556	ENDIF
557
558	!
559	!-- Boundary conditions for total water content,
560	!-- bottom and top boundary (see also temperature)
561	IF ( humidity ) THEN
562	!
563	!-- Surface conditions for constant_humidity_flux
564	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
565	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
566	!-- q_p at k-1
567	IF ( ibc_q_b == 0 ) THEN
568
569	DO l = 0, 1
570	!
571	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
572	!-- for downward-facing surfaces at topography bottom (k+1).
573	kb = MERGE( -1, 1, l == 0 )
574	!$OMP PARALLEL DO PRIVATE( i, j, k )
575	DO m = 1, bc_h(l)%ns
576	i = bc_h(l)%i(m)
577	j = bc_h(l)%j(m)
578	k = bc_h(l)%k(m)
579	q_p(k+kb,j,i) = q(k+kb,j,i)
580	ENDDO
581	ENDDO
582
583	ELSE
584
585	DO l = 0, 1
586	!
587	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
588	!-- for downward-facing surfaces at topography bottom (k+1).
589	kb = MERGE( -1, 1, l == 0 )
590	!$OMP PARALLEL DO PRIVATE( i, j, k )
591	DO m = 1, bc_h(l)%ns
592	i = bc_h(l)%i(m)
593	j = bc_h(l)%j(m)
594	k = bc_h(l)%k(m)
595	q_p(k+kb,j,i) = q_p(k,j,i)
596	ENDDO
597	ENDDO
598	ENDIF
599	!
600	!-- Top boundary
601	IF ( ibc_q_t == 0 ) THEN
602	q_p(nzt+1,:,:) = q(nzt+1,:,:)
603	ELSEIF ( ibc_q_t == 1 ) THEN
604	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
605	ENDIF
606
607	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
608	!
609	!-- Surface conditions cloud water (Dirichlet)
610	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
611	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
612	!-- qr_p and nr_p at k-1
613	!$OMP PARALLEL DO PRIVATE( i, j, k )
614	DO m = 1, bc_h(0)%ns
615	i = bc_h(0)%i(m)
616	j = bc_h(0)%j(m)
617	k = bc_h(0)%k(m)
618	qc_p(k-1,j,i) = 0.0_wp
619	nc_p(k-1,j,i) = 0.0_wp
620	ENDDO
621	!
622	!-- Top boundary condition for cloud water (Dirichlet)
623	qc_p(nzt+1,:,:) = 0.0_wp
624	nc_p(nzt+1,:,:) = 0.0_wp
625
626	ENDIF
627
628	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
629	!
630	!-- Surface conditions rain water (Dirichlet)
631	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
632	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
633	!-- qr_p and nr_p at k-1
634	!$OMP PARALLEL DO PRIVATE( i, j, k )
635	DO m = 1, bc_h(0)%ns
636	i = bc_h(0)%i(m)
637	j = bc_h(0)%j(m)
638	k = bc_h(0)%k(m)
639	qr_p(k-1,j,i) = 0.0_wp
640	nr_p(k-1,j,i) = 0.0_wp
641	ENDDO
642	!
643	!-- Top boundary condition for rain water (Dirichlet)
644	qr_p(nzt+1,:,:) = 0.0_wp
645	nr_p(nzt+1,:,:) = 0.0_wp
646
647	ENDIF
648	ENDIF
649	!
650	!-- Boundary conditions for scalar,
651	!-- bottom and top boundary (see also temperature)
652	IF ( passive_scalar ) THEN
653	!
654	!-- Surface conditions for constant_humidity_flux
655	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
656	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
657	!-- s_p at k-1
658	IF ( ibc_s_b == 0 ) THEN
659
660	DO l = 0, 1
661	!
662	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
663	!-- for downward-facing surfaces at topography bottom (k+1).
664	kb = MERGE( -1, 1, l == 0 )
665	!$OMP PARALLEL DO PRIVATE( i, j, k )
666	DO m = 1, bc_h(l)%ns
667	i = bc_h(l)%i(m)
668	j = bc_h(l)%j(m)
669	k = bc_h(l)%k(m)
670	s_p(k+kb,j,i) = s(k+kb,j,i)
671	ENDDO
672	ENDDO
673
674	ELSE
675
676	DO l = 0, 1
677	!
678	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
679	!-- for downward-facing surfaces at topography bottom (k+1).
680	kb = MERGE( -1, 1, l == 0 )
681	!$OMP PARALLEL DO PRIVATE( i, j, k )
682	DO m = 1, bc_h(l)%ns
683	i = bc_h(l)%i(m)
684	j = bc_h(l)%j(m)
685	k = bc_h(l)%k(m)
686	s_p(k+kb,j,i) = s_p(k,j,i)
687	ENDDO
688	ENDDO
689	ENDIF
690	!
691	!-- Top boundary condition
692	IF ( ibc_s_t == 0 ) THEN
693	s_p(nzt+1,:,:) = s(nzt+1,:,:)
694	ELSEIF ( ibc_s_t == 1 ) THEN
695	s_p(nzt+1,:,:) = s_p(nzt,:,:)
696	ELSEIF ( ibc_s_t == 2 ) THEN
697	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
698	ENDIF
699
700	ENDIF
701	!
702	!-- Top/bottom boundary conditions for chemical species
703	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
704	!
705	!-- In case of inflow or nest boundary at the south boundary the boundary for v
706	!-- is at nys and in case of inflow or nest boundary at the left boundary the
707	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
708	!-- version) these levels are handled as a prognostic level, boundary values
709	!-- have to be restored here.
710	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
711	IF ( bc_dirichlet_s ) THEN
712	v_p(:,nys,:) = v_p(:,nys-1,:)
713	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
714	ELSEIF ( bc_dirichlet_n ) THEN
715	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
716	ELSEIF ( bc_dirichlet_l ) THEN
717	u_p(:,:,nxl) = u_p(:,:,nxl-1)
718	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
719	ELSEIF ( bc_dirichlet_r ) THEN
720	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
721	ENDIF
722
723	!
724	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
725	!-- in case of nest boundaries. This must not be done in case of vertical nesting
726	!-- mode as in that case the lateral boundaries are actually cyclic.
727	!-- @todo: Is this really needed? Boundary values will be overwritten in
728	!-- coupler or by Inifor data.
729	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
730	IF ( bc_dirichlet_s ) THEN
731	v_p(:,nys,:) = v_p(:,nys-1,:)
732	ENDIF
733	IF ( bc_dirichlet_l ) THEN
734	u_p(:,:,nxl) = u_p(:,:,nxl-1)
735	ENDIF
736	ENDIF
737
738	!
739	!-- Lateral boundary conditions for scalar quantities at the outflow
740	IF ( bc_radiation_s ) THEN
741	pt_p(:,nys-1,:) = pt_p(:,nys,:)
742	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
743	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
744	IF ( humidity ) THEN
745	q_p(:,nys-1,:) = q_p(:,nys,:)
746	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
747	qc_p(:,nys-1,:) = qc_p(:,nys,:)
748	nc_p(:,nys-1,:) = nc_p(:,nys,:)
749	ENDIF
750	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
751	qr_p(:,nys-1,:) = qr_p(:,nys,:)
752	nr_p(:,nys-1,:) = nr_p(:,nys,:)
753	ENDIF
754	ENDIF
755	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
756	ELSEIF ( bc_radiation_n ) THEN
757	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
758	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
759	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
760	IF ( humidity ) THEN
761	q_p(:,nyn+1,:) = q_p(:,nyn,:)
762	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
763	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
764	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
765	ENDIF
766	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
767	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
768	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
769	ENDIF
770	ENDIF
771	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
772	ELSEIF ( bc_radiation_l ) THEN
773	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
774	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
775	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
776	IF ( humidity ) THEN
777	q_p(:,:,nxl-1) = q_p(:,:,nxl)
778	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
779	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
780	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
781	ENDIF
782	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
783	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
784	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
785	ENDIF
786	ENDIF
787	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
788	ELSEIF ( bc_radiation_r ) THEN
789	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
790	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
791	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
792	IF ( humidity ) THEN
793	q_p(:,:,nxr+1) = q_p(:,:,nxr)
794	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
795	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
796	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
797	ENDIF
798	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
799	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
800	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
801	ENDIF
802	ENDIF
803	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
804	ENDIF
805
806	!
807	!-- Lateral boundary conditions for chemical species
808	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
809
810	!
811	!-- Radiation boundary conditions for the velocities at the respective outflow.
812	!-- The phase velocity is either assumed to the maximum phase velocity that
813	!-- ensures numerical stability (CFL-condition) or calculated after
814	!-- Orlanski(1976) and averaged along the outflow boundary.
815	IF ( bc_radiation_s ) THEN
816
817	IF ( use_cmax ) THEN
818	u_p(:,-1,:) = u(:,0,:)
819	v_p(:,0,:) = v(:,1,:)
820	w_p(:,-1,:) = w(:,0,:)
821	ELSEIF ( .NOT. use_cmax ) THEN
822
823	c_max = dy / dt_3d
824
825	c_u_m_l = 0.0_wp
826	c_v_m_l = 0.0_wp
827	c_w_m_l = 0.0_wp
828
829	c_u_m = 0.0_wp
830	c_v_m = 0.0_wp
831	c_w_m = 0.0_wp
832
833	!
834	!-- Calculate the phase speeds for u, v, and w, first local and then
835	!-- average along the outflow boundary.
836	DO k = nzb+1, nzt+1
837	DO i = nxl, nxr
838
839	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
840
841	IF ( denom /= 0.0_wp ) THEN
842	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
843	IF ( c_u(k,i) < 0.0_wp ) THEN
844	c_u(k,i) = 0.0_wp
845	ELSEIF ( c_u(k,i) > c_max ) THEN
846	c_u(k,i) = c_max
847	ENDIF
848	ELSE
849	c_u(k,i) = c_max
850	ENDIF
851
852	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
853
854	IF ( denom /= 0.0_wp ) THEN
855	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
856	IF ( c_v(k,i) < 0.0_wp ) THEN
857	c_v(k,i) = 0.0_wp
858	ELSEIF ( c_v(k,i) > c_max ) THEN
859	c_v(k,i) = c_max
860	ENDIF
861	ELSE
862	c_v(k,i) = c_max
863	ENDIF
864
865	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
866
867	IF ( denom /= 0.0_wp ) THEN
868	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
869	IF ( c_w(k,i) < 0.0_wp ) THEN
870	c_w(k,i) = 0.0_wp
871	ELSEIF ( c_w(k,i) > c_max ) THEN
872	c_w(k,i) = c_max
873	ENDIF
874	ELSE
875	c_w(k,i) = c_max
876	ENDIF
877
878	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
879	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
880	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
881
882	ENDDO
883	ENDDO
884
885	#if defined( __parallel )
886	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
887	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
888	MPI_SUM, comm1dx, ierr )
889	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
890	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
891	MPI_SUM, comm1dx, ierr )
892	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
893	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
894	MPI_SUM, comm1dx, ierr )
895	#else
896	c_u_m = c_u_m_l
897	c_v_m = c_v_m_l
898	c_w_m = c_w_m_l
899	#endif
900
901	c_u_m = c_u_m / (nx+1)
902	c_v_m = c_v_m / (nx+1)
903	c_w_m = c_w_m / (nx+1)
904
905	!
906	!-- Save old timelevels for the next timestep
907	IF ( intermediate_timestep_count == 1 ) THEN
908	u_m_s(:,:,:) = u(:,0:1,:)
909	v_m_s(:,:,:) = v(:,1:2,:)
910	w_m_s(:,:,:) = w(:,0:1,:)
911	ENDIF
912
913	!
914	!-- Calculate the new velocities
915	DO k = nzb+1, nzt+1
916	DO i = nxlg, nxrg
917	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
918	( u(k,-1,i) - u(k,0,i) ) * ddy
919
920	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
921	( v(k,0,i) - v(k,1,i) ) * ddy
922
923	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
924	( w(k,-1,i) - w(k,0,i) ) * ddy
925	ENDDO
926	ENDDO
927
928	!
929	!-- Bottom boundary at the outflow
930	IF ( ibc_uv_b == 0 ) THEN
931	u_p(nzb,-1,:) = 0.0_wp
932	v_p(nzb,0,:) = 0.0_wp
933	ELSE
934	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
935	v_p(nzb,0,:) = v_p(nzb+1,0,:)
936	ENDIF
937	w_p(nzb,-1,:) = 0.0_wp
938
939	!
940	!-- Top boundary at the outflow
941	IF ( ibc_uv_t == 0 ) THEN
942	u_p(nzt+1,-1,:) = u_init(nzt+1)
943	v_p(nzt+1,0,:) = v_init(nzt+1)
944	ELSE
945	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
946	v_p(nzt+1,0,:) = v_p(nzt,0,:)
947	ENDIF
948	w_p(nzt:nzt+1,-1,:) = 0.0_wp
949
950	ENDIF
951
952	ENDIF
953
954	IF ( bc_radiation_n ) THEN
955
956	IF ( use_cmax ) THEN
957	u_p(:,ny+1,:) = u(:,ny,:)
958	v_p(:,ny+1,:) = v(:,ny,:)
959	w_p(:,ny+1,:) = w(:,ny,:)
960	ELSEIF ( .NOT. use_cmax ) THEN
961
962	c_max = dy / dt_3d
963
964	c_u_m_l = 0.0_wp
965	c_v_m_l = 0.0_wp
966	c_w_m_l = 0.0_wp
967
968	c_u_m = 0.0_wp
969	c_v_m = 0.0_wp
970	c_w_m = 0.0_wp
971
972	!
973	!-- Calculate the phase speeds for u, v, and w, first local and then
974	!-- average along the outflow boundary.
975	DO k = nzb+1, nzt+1
976	DO i = nxl, nxr
977
978	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
979
980	IF ( denom /= 0.0_wp ) THEN
981	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
982	IF ( c_u(k,i) < 0.0_wp ) THEN
983	c_u(k,i) = 0.0_wp
984	ELSEIF ( c_u(k,i) > c_max ) THEN
985	c_u(k,i) = c_max
986	ENDIF
987	ELSE
988	c_u(k,i) = c_max
989	ENDIF
990
991	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
992
993	IF ( denom /= 0.0_wp ) THEN
994	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
995	IF ( c_v(k,i) < 0.0_wp ) THEN
996	c_v(k,i) = 0.0_wp
997	ELSEIF ( c_v(k,i) > c_max ) THEN
998	c_v(k,i) = c_max
999	ENDIF
1000	ELSE
1001	c_v(k,i) = c_max
1002	ENDIF
1003
1004	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
1005
1006	IF ( denom /= 0.0_wp ) THEN
1007	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
1008	IF ( c_w(k,i) < 0.0_wp ) THEN
1009	c_w(k,i) = 0.0_wp
1010	ELSEIF ( c_w(k,i) > c_max ) THEN
1011	c_w(k,i) = c_max
1012	ENDIF
1013	ELSE
1014	c_w(k,i) = c_max
1015	ENDIF
1016
1017	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
1018	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
1019	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
1020
1021	ENDDO
1022	ENDDO
1023
1024	#if defined( __parallel )
1025	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
1026	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
1027	MPI_SUM, comm1dx, ierr )
1028	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
1029	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
1030	MPI_SUM, comm1dx, ierr )
1031	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
1032	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
1033	MPI_SUM, comm1dx, ierr )
1034	#else
1035	c_u_m = c_u_m_l
1036	c_v_m = c_v_m_l
1037	c_w_m = c_w_m_l
1038	#endif
1039
1040	c_u_m = c_u_m / (nx+1)
1041	c_v_m = c_v_m / (nx+1)
1042	c_w_m = c_w_m / (nx+1)
1043
1044	!
1045	!-- Save old timelevels for the next timestep
1046	IF ( intermediate_timestep_count == 1 ) THEN
1047	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1048	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1049	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1050	ENDIF
1051
1052	!
1053	!-- Calculate the new velocities
1054	DO k = nzb+1, nzt+1
1055	DO i = nxlg, nxrg
1056	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
1057	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
1058
1059	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
1060	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
1061
1062	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
1063	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
1064	ENDDO
1065	ENDDO
1066
1067	!
1068	!-- Bottom boundary at the outflow
1069	IF ( ibc_uv_b == 0 ) THEN
1070	u_p(nzb,ny+1,:) = 0.0_wp
1071	v_p(nzb,ny+1,:) = 0.0_wp
1072	ELSE
1073	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
1074	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
1075	ENDIF
1076	w_p(nzb,ny+1,:) = 0.0_wp
1077
1078	!
1079	!-- Top boundary at the outflow
1080	IF ( ibc_uv_t == 0 ) THEN
1081	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
1082	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
1083	ELSE
1084	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
1085	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
1086	ENDIF
1087	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
1088
1089	ENDIF
1090
1091	ENDIF
1092
1093	IF ( bc_radiation_l ) THEN
1094
1095	IF ( use_cmax ) THEN
1096	u_p(:,:,0) = u(:,:,1)
1097	v_p(:,:,-1) = v(:,:,0)
1098	w_p(:,:,-1) = w(:,:,0)
1099	ELSEIF ( .NOT. use_cmax ) THEN
1100
1101	c_max = dx / dt_3d
1102
1103	c_u_m_l = 0.0_wp
1104	c_v_m_l = 0.0_wp
1105	c_w_m_l = 0.0_wp
1106
1107	c_u_m = 0.0_wp
1108	c_v_m = 0.0_wp
1109	c_w_m = 0.0_wp
1110
1111	!
1112	!-- Calculate the phase speeds for u, v, and w, first local and then
1113	!-- average along the outflow boundary.
1114	DO k = nzb+1, nzt+1
1115	DO j = nys, nyn
1116
1117	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
1118
1119	IF ( denom /= 0.0_wp ) THEN
1120	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
1121	IF ( c_u(k,j) < 0.0_wp ) THEN
1122	c_u(k,j) = 0.0_wp
1123	ELSEIF ( c_u(k,j) > c_max ) THEN
1124	c_u(k,j) = c_max
1125	ENDIF
1126	ELSE
1127	c_u(k,j) = c_max
1128	ENDIF
1129
1130	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
1131
1132	IF ( denom /= 0.0_wp ) THEN
1133	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
1134	IF ( c_v(k,j) < 0.0_wp ) THEN
1135	c_v(k,j) = 0.0_wp
1136	ELSEIF ( c_v(k,j) > c_max ) THEN
1137	c_v(k,j) = c_max
1138	ENDIF
1139	ELSE
1140	c_v(k,j) = c_max
1141	ENDIF
1142
1143	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
1144
1145	IF ( denom /= 0.0_wp ) THEN
1146	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
1147	IF ( c_w(k,j) < 0.0_wp ) THEN
1148	c_w(k,j) = 0.0_wp
1149	ELSEIF ( c_w(k,j) > c_max ) THEN
1150	c_w(k,j) = c_max
1151	ENDIF
1152	ELSE
1153	c_w(k,j) = c_max
1154	ENDIF
1155
1156	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
1157	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
1158	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
1159
1160	ENDDO
1161	ENDDO
1162
1163	#if defined( __parallel )
1164	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1165	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
1166	MPI_SUM, comm1dy, ierr )
1167	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1168	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
1169	MPI_SUM, comm1dy, ierr )
1170	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1171	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
1172	MPI_SUM, comm1dy, ierr )
1173	#else
1174	c_u_m = c_u_m_l
1175	c_v_m = c_v_m_l
1176	c_w_m = c_w_m_l
1177	#endif
1178
1179	c_u_m = c_u_m / (ny+1)
1180	c_v_m = c_v_m / (ny+1)
1181	c_w_m = c_w_m / (ny+1)
1182
1183	!
1184	!-- Save old timelevels for the next timestep
1185	IF ( intermediate_timestep_count == 1 ) THEN
1186	u_m_l(:,:,:) = u(:,:,1:2)
1187	v_m_l(:,:,:) = v(:,:,0:1)
1188	w_m_l(:,:,:) = w(:,:,0:1)
1189	ENDIF
1190
1191	!
1192	!-- Calculate the new velocities
1193	DO k = nzb+1, nzt+1
1194	DO j = nysg, nyng
1195	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
1196	( u(k,j,0) - u(k,j,1) ) * ddx
1197
1198	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
1199	( v(k,j,-1) - v(k,j,0) ) * ddx
1200
1201	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
1202	( w(k,j,-1) - w(k,j,0) ) * ddx
1203	ENDDO
1204	ENDDO
1205
1206	!
1207	!-- Bottom boundary at the outflow
1208	IF ( ibc_uv_b == 0 ) THEN
1209	u_p(nzb,:,0) = 0.0_wp
1210	v_p(nzb,:,-1) = 0.0_wp
1211	ELSE
1212	u_p(nzb,:,0) = u_p(nzb+1,:,0)
1213	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
1214	ENDIF
1215	w_p(nzb,:,-1) = 0.0_wp
1216
1217	!
1218	!-- Top boundary at the outflow
1219	IF ( ibc_uv_t == 0 ) THEN
1220	u_p(nzt+1,:,0) = u_init(nzt+1)
1221	v_p(nzt+1,:,-1) = v_init(nzt+1)
1222	ELSE
1223	u_p(nzt+1,:,0) = u_p(nzt,:,0)
1224	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
1225	ENDIF
1226	w_p(nzt:nzt+1,:,-1) = 0.0_wp
1227
1228	ENDIF
1229
1230	ENDIF
1231
1232	IF ( bc_radiation_r ) THEN
1233
1234	IF ( use_cmax ) THEN
1235	u_p(:,:,nx+1) = u(:,:,nx)
1236	v_p(:,:,nx+1) = v(:,:,nx)
1237	w_p(:,:,nx+1) = w(:,:,nx)
1238	ELSEIF ( .NOT. use_cmax ) THEN
1239
1240	c_max = dx / dt_3d
1241
1242	c_u_m_l = 0.0_wp
1243	c_v_m_l = 0.0_wp
1244	c_w_m_l = 0.0_wp
1245
1246	c_u_m = 0.0_wp
1247	c_v_m = 0.0_wp
1248	c_w_m = 0.0_wp
1249
1250	!
1251	!-- Calculate the phase speeds for u, v, and w, first local and then
1252	!-- average along the outflow boundary.
1253	DO k = nzb+1, nzt+1
1254	DO j = nys, nyn
1255
1256	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
1257
1258	IF ( denom /= 0.0_wp ) THEN
1259	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
1260	IF ( c_u(k,j) < 0.0_wp ) THEN
1261	c_u(k,j) = 0.0_wp
1262	ELSEIF ( c_u(k,j) > c_max ) THEN
1263	c_u(k,j) = c_max
1264	ENDIF
1265	ELSE
1266	c_u(k,j) = c_max
1267	ENDIF
1268
1269	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
1270
1271	IF ( denom /= 0.0_wp ) THEN
1272	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
1273	IF ( c_v(k,j) < 0.0_wp ) THEN
1274	c_v(k,j) = 0.0_wp
1275	ELSEIF ( c_v(k,j) > c_max ) THEN
1276	c_v(k,j) = c_max
1277	ENDIF
1278	ELSE
1279	c_v(k,j) = c_max
1280	ENDIF
1281
1282	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
1283
1284	IF ( denom /= 0.0_wp ) THEN
1285	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
1286	IF ( c_w(k,j) < 0.0_wp ) THEN
1287	c_w(k,j) = 0.0_wp
1288	ELSEIF ( c_w(k,j) > c_max ) THEN
1289	c_w(k,j) = c_max
1290	ENDIF
1291	ELSE
1292	c_w(k,j) = c_max
1293	ENDIF
1294
1295	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
1296	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
1297	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
1298
1299	ENDDO
1300	ENDDO
1301
1302	#if defined( __parallel )
1303	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1304	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
1305	MPI_SUM, comm1dy, ierr )
1306	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1307	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
1308	MPI_SUM, comm1dy, ierr )
1309	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1310	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
1311	MPI_SUM, comm1dy, ierr )
1312	#else
1313	c_u_m = c_u_m_l
1314	c_v_m = c_v_m_l
1315	c_w_m = c_w_m_l
1316	#endif
1317
1318	c_u_m = c_u_m / (ny+1)
1319	c_v_m = c_v_m / (ny+1)
1320	c_w_m = c_w_m / (ny+1)
1321
1322	!
1323	!-- Save old timelevels for the next timestep
1324	IF ( intermediate_timestep_count == 1 ) THEN
1325	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1326	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1327	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1328	ENDIF
1329
1330	!
1331	!-- Calculate the new velocities
1332	DO k = nzb+1, nzt+1
1333	DO j = nysg, nyng
1334	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
1335	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
1336
1337	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
1338	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
1339
1340	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
1341	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
1342	ENDDO
1343	ENDDO
1344
1345	!
1346	!-- Bottom boundary at the outflow
1347	IF ( ibc_uv_b == 0 ) THEN
1348	u_p(nzb,:,nx+1) = 0.0_wp
1349	v_p(nzb,:,nx+1) = 0.0_wp
1350	ELSE
1351	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
1352	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
1353	ENDIF
1354	w_p(nzb,:,nx+1) = 0.0_wp
1355
1356	!
1357	!-- Top boundary at the outflow
1358	IF ( ibc_uv_t == 0 ) THEN
1359	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
1360	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
1361	ELSE
1362	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
1363	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
1364	ENDIF
1365	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
1366
1367	ENDIF
1368
1369	ENDIF
1370
1371	END SUBROUTINE boundary_conds

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