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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3295

Last change on this file since 3295 was 3294, checked in by raasch, 6 years ago
modularization of the ocean code
Property svn:keywords set to `Id`
File size: 46.6 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 3294 2018-10-01 02:37:10Z raasch $
27	! changes concerning modularization of ocean option
28	!
29	! 3274 2018-09-24 15:42:55Z knoop
30	! Modularization of all bulk cloud physics code components
31	!
32	! 3241 2018-09-12 15:02:00Z raasch
33	! unused variables removed
34	!
35	! 3183 2018-07-27 14:25:55Z suehring
36	! Rename some variables concerning LES-LES as well as offline nesting
37	!
38	! 3182 2018-07-27 13:36:03Z suehring
39	! - Use wall function for e_p and diss_p in case of rans_tke_e
40	! - move limitation of diss_p from tcm_prognostic
41	!
42	! 2938 2018-03-27 15:52:42Z suehring
43	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
44	! and if parent model operates in RANS mode but child model in LES mode.
45	! mode
46	!
47	! 2793 2018-02-07 10:54:33Z suehring
48	! Removed preprocessor directive __chem
49	!
50	! 2718 2018-01-02 08:49:38Z maronga
51	! Corrected "Former revisions" section
52	!
53	! 2696 2017-12-14 17:12:51Z kanani
54	! Change in file header (GPL part)
55	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
56	! Implementation of chemistry module (FK)
57	!
58	! 2569 2017-10-20 11:54:42Z kanani
59	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
60	!
61	! 2365 2017-08-21 14:59:59Z kanani
62	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
63	! on fine grid (SadiqHuq)
64	!
65	! 2320 2017-07-21 12:47:43Z suehring
66	! Remove unused control parameter large_scale_forcing from only-list
67	!
68	! 2292 2017-06-20 09:51:42Z schwenkel
69	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
70	! includes two more prognostic equations for cloud drop concentration (nc)
71	! and cloud water content (qc).
72	!
73	! 2233 2017-05-30 18:08:54Z suehring
74	!
75	! 2232 2017-05-30 17:47:52Z suehring
76	! Set boundary conditions on topography top using flag method.
77	!
78	! 2118 2017-01-17 16:38:49Z raasch
79	! OpenACC directives removed
80	!
81	! 2000 2016-08-20 18:09:15Z knoop
82	! Forced header and separation lines into 80 columns
83	!
84	! 1992 2016-08-12 15:14:59Z suehring
85	! Adjustments for top boundary condition for passive scalar
86	!
87	! 1960 2016-07-12 16:34:24Z suehring
88	! Treat humidity and passive scalar separately
89	!
90	! 1823 2016-04-07 08:57:52Z hoffmann
91	! Initial version of purely vertical nesting introduced.
92	!
93	! 1822 2016-04-07 07:49:42Z hoffmann
94	! icloud_scheme removed. microphyisics_seifert added.
95	!
96	! 1764 2016-02-28 12:45:19Z raasch
97	! index bug for u_p at left outflow removed
98	!
99	! 1762 2016-02-25 12:31:13Z hellstea
100	! Introduction of nested domain feature
101	!
102	! 1742 2016-01-13 09:50:06Z raasch
103	! bugfix for outflow Neumann boundary conditions at bottom and top
104	!
105	! 1717 2015-11-11 15:09:47Z raasch
106	! Bugfix: index error in outflow conditions for left boundary
107	!
108	! 1682 2015-10-07 23:56:08Z knoop
109	! Code annotations made doxygen readable
110	!
111	! 1410 2014-05-23 12:16:18Z suehring
112	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
113	! top
114	!
115	! 1399 2014-05-07 11:16:25Z heinze
116	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
117	! is used.
118	!
119	! 1398 2014-05-07 11:15:00Z heinze
120	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
121	! for large_scale_forcing
122	!
123	! 1380 2014-04-28 12:40:45Z heinze
124	! Adjust Dirichlet-condition at the top for pt in case of nudging
125	!
126	! 1361 2014-04-16 15:17:48Z hoffmann
127	! Bottom and top boundary conditions of rain water content (qr) and
128	! rain drop concentration (nr) changed to Dirichlet
129	!
130	! 1353 2014-04-08 15:21:23Z heinze
131	! REAL constants provided with KIND-attribute
132	!
133	! 1320 2014-03-20 08:40:49Z raasch
134	! ONLY-attribute added to USE-statements,
135	! kind-parameters added to all INTEGER and REAL declaration statements,
136	! kinds are defined in new module kinds,
137	! revision history before 2012 removed,
138	! comment fields (!:) to be used for variable explanations added to
139	! all variable declaration statements
140	!
141	! 1257 2013-11-08 15:18:40Z raasch
142	! loop independent clauses added
143	!
144	! 1241 2013-10-30 11:36:58Z heinze
145	! Adjust ug and vg at each timestep in case of large_scale_forcing
146	!
147	! 1159 2013-05-21 11:58:22Z fricke
148	! Bugfix: Neumann boundary conditions for the velocity components at the
149	! outflow are in fact radiation boundary conditions using the maximum phase
150	! velocity that ensures numerical stability (CFL-condition).
151	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
152	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
153	! u_p, v_p, w_p
154	!
155	! 1115 2013-03-26 18:16:16Z hoffmann
156	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
157	! boundary-conditions
158	!
159	! 1113 2013-03-10 02:48:14Z raasch
160	! GPU-porting
161	! dummy argument "range" removed
162	! Bugfix: wrong index in loops of radiation boundary condition
163	!
164	! 1053 2012-11-13 17:11:03Z hoffmann
165	! boundary conditions for the two new prognostic equations (nr, qr) of the
166	! two-moment cloud scheme
167	!
168	! 1036 2012-10-22 13:43:42Z raasch
169	! code put under GPL (PALM 3.9)
170	!
171	! 996 2012-09-07 10:41:47Z raasch
172	! little reformatting
173	!
174	! 978 2012-08-09 08:28:32Z fricke
175	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
176	! Outflow boundary conditions for the velocity components can be set to Neumann
177	! conditions or to radiation conditions with a horizontal averaged phase
178	! velocity.
179	!
180	! 875 2012-04-02 15:35:15Z gryschka
181	! Bugfix in case of dirichlet inflow bc at the right or north boundary
182	!
183	! Revision 1.1 1997/09/12 06:21:34 raasch
184	! Initial revision
185	!
186	!
187	! Description:
188	! ------------
189	!> Boundary conditions for the prognostic quantities.
190	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
191	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
192	!> handled in routine exchange_horiz. Pressure boundary conditions are
193	!> explicitly set in routines pres, poisfft, poismg and sor.
194	!------------------------------------------------------------------------------!
195	SUBROUTINE boundary_conds
196
197
198	USE arrays_3d, &
199	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, &
200	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
201	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
202	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, &
203	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
204
205	USE basic_constants_and_equations_mod, &
206	ONLY: kappa
207
208	USE bulk_cloud_model_mod, &
209	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
210
211	USE chemistry_model_mod, &
212	ONLY: chem_boundary_conds
213
214	USE control_parameters, &
215	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
216	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
217	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
218	child_domain, constant_diffusion, coupling_mode, &
219	dt_3d, humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
220	ibc_s_t, ibc_uv_b, ibc_uv_t, &
221	intermediate_timestep_count, nesting_offline, nudging, &
222	ocean_mode, passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
223
224	USE grid_variables, &
225	ONLY: ddx, ddy, dx, dy
226
227	USE indices, &
228	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
229
230	USE kinds
231
232	USE ocean_mod, &
233	ONLY: ibc_sa_t
234
235	USE pegrid
236
237	USE pmc_interface, &
238	ONLY : nesting_mode, rans_mode_parent
239
240	USE surface_mod, &
241	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
242	surf_usm_h, surf_usm_v
243
244	USE turbulence_closure_mod, &
245	ONLY: c_0
246
247	IMPLICIT NONE
248
249	INTEGER(iwp) :: i !< grid index x direction
250	INTEGER(iwp) :: j !< grid index y direction
251	INTEGER(iwp) :: k !< grid index z direction
252	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
253	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
254	INTEGER(iwp) :: m !< running index surface elements
255
256	REAL(wp) :: c_max !<
257	REAL(wp) :: denom !<
258
259
260	!
261	!-- Bottom boundary
262	IF ( ibc_uv_b == 1 ) THEN
263	u_p(nzb,:,:) = u_p(nzb+1,:,:)
264	v_p(nzb,:,:) = v_p(nzb+1,:,:)
265	ENDIF
266	!
267	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
268	!-- of downward-facing surfaces.
269	DO l = 0, 1
270	!
271	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
272	!-- for downward-facing surfaces at topography bottom (k+1).
273	kb = MERGE( -1, 1, l == 0 )
274	!$OMP PARALLEL DO PRIVATE( i, j, k )
275	DO m = 1, bc_h(l)%ns
276	i = bc_h(l)%i(m)
277	j = bc_h(l)%j(m)
278	k = bc_h(l)%k(m)
279	w_p(k+kb,j,i) = 0.0_wp
280	ENDDO
281	ENDDO
282
283	!
284	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
285	IF ( ibc_uv_t == 0 ) THEN
286	u_p(nzt+1,:,:) = u_init(nzt+1)
287	v_p(nzt+1,:,:) = v_init(nzt+1)
288	ELSEIF ( ibc_uv_t == 1 ) THEN
289	u_p(nzt+1,:,:) = u_p(nzt,:,:)
290	v_p(nzt+1,:,:) = v_p(nzt,:,:)
291	ENDIF
292
293	!
294	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
295	IF ( .NOT. child_domain .AND. &
296	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
297	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
298	ENDIF
299
300	!
301	!-- Temperature at bottom and top boundary.
302	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
303	!-- the sea surface temperature of the coupled ocean model.
304	!-- Dirichlet
305	IF ( ibc_pt_b == 0 ) THEN
306	DO l = 0, 1
307	!
308	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
309	!-- for downward-facing surfaces at topography bottom (k+1).
310	kb = MERGE( -1, 1, l == 0 )
311	!$OMP PARALLEL DO PRIVATE( i, j, k )
312	DO m = 1, bc_h(l)%ns
313	i = bc_h(l)%i(m)
314	j = bc_h(l)%j(m)
315	k = bc_h(l)%k(m)
316	pt_p(k+kb,j,i) = pt(k+kb,j,i)
317	ENDDO
318	ENDDO
319	!
320	!-- Neumann, zero-gradient
321	ELSEIF ( ibc_pt_b == 1 ) THEN
322	DO l = 0, 1
323	!
324	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
325	!-- for downward-facing surfaces at topography bottom (k+1).
326	kb = MERGE( -1, 1, l == 0 )
327	!$OMP PARALLEL DO PRIVATE( i, j, k )
328	DO m = 1, bc_h(l)%ns
329	i = bc_h(l)%i(m)
330	j = bc_h(l)%j(m)
331	k = bc_h(l)%k(m)
332	pt_p(k+kb,j,i) = pt_p(k,j,i)
333	ENDDO
334	ENDDO
335	ENDIF
336
337	!
338	!-- Temperature at top boundary
339	IF ( ibc_pt_t == 0 ) THEN
340	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
341	!
342	!-- In case of nudging adjust top boundary to pt which is
343	!-- read in from NUDGING-DATA
344	IF ( nudging ) THEN
345	pt_p(nzt+1,:,:) = pt_init(nzt+1)
346	ENDIF
347	ELSEIF ( ibc_pt_t == 1 ) THEN
348	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
349	ELSEIF ( ibc_pt_t == 2 ) THEN
350	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
351	ENDIF
352
353	!
354	!-- Boundary conditions for TKE.
355	!-- Generally Neumann conditions with de/dz=0 are assumed.
356	IF ( .NOT. constant_diffusion ) THEN
357
358	IF ( .NOT. rans_tke_e ) THEN
359	DO l = 0, 1
360	!
361	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
362	!-- for downward-facing surfaces at topography bottom (k+1).
363	kb = MERGE( -1, 1, l == 0 )
364	!$OMP PARALLEL DO PRIVATE( i, j, k )
365	DO m = 1, bc_h(l)%ns
366	i = bc_h(l)%i(m)
367	j = bc_h(l)%j(m)
368	k = bc_h(l)%k(m)
369	e_p(k+kb,j,i) = e_p(k,j,i)
370	ENDDO
371	ENDDO
372	ELSE
373	!
374	!-- Use wall function within constant-flux layer
375	!-- Upward-facing surfaces
376	!-- Default surfaces
377	DO m = 1, surf_def_h(0)%ns
378	i = surf_def_h(0)%i(m)
379	j = surf_def_h(0)%j(m)
380	k = surf_def_h(0)%k(m)
381	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
382	ENDDO
383	!
384	!-- Natural surfaces
385	DO m = 1, surf_lsm_h%ns
386	i = surf_lsm_h%i(m)
387	j = surf_lsm_h%j(m)
388	k = surf_lsm_h%k(m)
389	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
390	ENDDO
391	!
392	!-- Urban surfaces
393	DO m = 1, surf_usm_h%ns
394	i = surf_usm_h%i(m)
395	j = surf_usm_h%j(m)
396	k = surf_usm_h%k(m)
397	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
398	ENDDO
399	!
400	!-- Vertical surfaces
401	DO l = 0, 3
402	!
403	!-- Default surfaces
404	DO m = 1, surf_def_v(l)%ns
405	i = surf_def_v(l)%i(m)
406	j = surf_def_v(l)%j(m)
407	k = surf_def_v(l)%k(m)
408	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
409	ENDDO
410	!
411	!-- Natural surfaces
412	DO m = 1, surf_lsm_v(l)%ns
413	i = surf_lsm_v(l)%i(m)
414	j = surf_lsm_v(l)%j(m)
415	k = surf_lsm_v(l)%k(m)
416	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
417	ENDDO
418	!
419	!-- Urban surfaces
420	DO m = 1, surf_usm_v(l)%ns
421	i = surf_usm_v(l)%i(m)
422	j = surf_usm_v(l)%j(m)
423	k = surf_usm_v(l)%k(m)
424	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
425	ENDDO
426	ENDDO
427	ENDIF
428
429	IF ( .NOT. child_domain ) THEN
430	e_p(nzt+1,:,:) = e_p(nzt,:,:)
431	!
432	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
433	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
434	!-- top child boundaries.
435	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
436	!-- is treated in the nesting.
437	ELSE
438
439	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
440
441	e_p(nzt+1,:,:) = e_p(nzt,:,:)
442	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
443	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
444	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
445	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
446
447	ENDIF
448	ENDIF
449	ENDIF
450
451	!
452	!-- Boundary conditions for TKE dissipation rate.
453	IF ( rans_tke_e ) THEN
454	!
455	!-- Use wall function within constant-flux layer
456	!-- Upward-facing surfaces
457	!-- Default surfaces
458	DO m = 1, surf_def_h(0)%ns
459	i = surf_def_h(0)%i(m)
460	j = surf_def_h(0)%j(m)
461	k = surf_def_h(0)%k(m)
462	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
463	/ ( kappa * surf_def_h(0)%z_mo(m) )
464	ENDDO
465	!
466	!-- Natural surfaces
467	DO m = 1, surf_lsm_h%ns
468	i = surf_lsm_h%i(m)
469	j = surf_lsm_h%j(m)
470	k = surf_lsm_h%k(m)
471	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
472	/ ( kappa * surf_lsm_h%z_mo(m) )
473	ENDDO
474	!
475	!-- Urban surfaces
476	DO m = 1, surf_usm_h%ns
477	i = surf_usm_h%i(m)
478	j = surf_usm_h%j(m)
479	k = surf_usm_h%k(m)
480	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
481	/ ( kappa * surf_usm_h%z_mo(m) )
482	ENDDO
483	!
484	!-- Vertical surfaces
485	DO l = 0, 3
486	!
487	!-- Default surfaces
488	DO m = 1, surf_def_v(l)%ns
489	i = surf_def_v(l)%i(m)
490	j = surf_def_v(l)%j(m)
491	k = surf_def_v(l)%k(m)
492	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
493	/ ( kappa * surf_def_v(l)%z_mo(m) )
494	ENDDO
495	!
496	!-- Natural surfaces
497	DO m = 1, surf_lsm_v(l)%ns
498	i = surf_lsm_v(l)%i(m)
499	j = surf_lsm_v(l)%j(m)
500	k = surf_lsm_v(l)%k(m)
501	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
502	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
503	ENDDO
504	!
505	!-- Urban surfaces
506	DO m = 1, surf_usm_v(l)%ns
507	i = surf_usm_v(l)%i(m)
508	j = surf_usm_v(l)%j(m)
509	k = surf_usm_v(l)%k(m)
510	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
511	/ ( kappa * surf_usm_v(l)%z_mo(m) )
512	ENDDO
513	ENDDO
514	!
515	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
516	!-- minimum value
517	DO i = nxl, nxr
518	DO j = nys, nyn
519	DO k = nzb, nzt+1
520	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
521	2.0_wp * diss(k,j,i) ), &
522	0.1_wp * diss(k,j,i), &
523	0.0001_wp )
524	ENDDO
525	ENDDO
526	ENDDO
527
528	IF ( .NOT. child_domain ) THEN
529	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
530	ENDIF
531	ENDIF
532
533	!
534	!-- Boundary conditions for salinity
535	IF ( ocean_mode ) THEN
536	!
537	!-- Bottom boundary: Neumann condition because salinity flux is always
538	!-- given.
539	DO l = 0, 1
540	!
541	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
542	!-- for downward-facing surfaces at topography bottom (k+1).
543	kb = MERGE( -1, 1, l == 0 )
544	!$OMP PARALLEL DO PRIVATE( i, j, k )
545	DO m = 1, bc_h(l)%ns
546	i = bc_h(l)%i(m)
547	j = bc_h(l)%j(m)
548	k = bc_h(l)%k(m)
549	sa_p(k+kb,j,i) = sa_p(k,j,i)
550	ENDDO
551	ENDDO
552	!
553	!-- Top boundary: Dirichlet or Neumann
554	IF ( ibc_sa_t == 0 ) THEN
555	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
556	ELSEIF ( ibc_sa_t == 1 ) THEN
557	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
558	ENDIF
559
560	ENDIF
561
562	!
563	!-- Boundary conditions for total water content,
564	!-- bottom and top boundary (see also temperature)
565	IF ( humidity ) THEN
566	!
567	!-- Surface conditions for constant_humidity_flux
568	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
569	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
570	!-- q_p at k-1
571	IF ( ibc_q_b == 0 ) THEN
572
573	DO l = 0, 1
574	!
575	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
576	!-- for downward-facing surfaces at topography bottom (k+1).
577	kb = MERGE( -1, 1, l == 0 )
578	!$OMP PARALLEL DO PRIVATE( i, j, k )
579	DO m = 1, bc_h(l)%ns
580	i = bc_h(l)%i(m)
581	j = bc_h(l)%j(m)
582	k = bc_h(l)%k(m)
583	q_p(k+kb,j,i) = q(k+kb,j,i)
584	ENDDO
585	ENDDO
586
587	ELSE
588
589	DO l = 0, 1
590	!
591	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
592	!-- for downward-facing surfaces at topography bottom (k+1).
593	kb = MERGE( -1, 1, l == 0 )
594	!$OMP PARALLEL DO PRIVATE( i, j, k )
595	DO m = 1, bc_h(l)%ns
596	i = bc_h(l)%i(m)
597	j = bc_h(l)%j(m)
598	k = bc_h(l)%k(m)
599	q_p(k+kb,j,i) = q_p(k,j,i)
600	ENDDO
601	ENDDO
602	ENDIF
603	!
604	!-- Top boundary
605	IF ( ibc_q_t == 0 ) THEN
606	q_p(nzt+1,:,:) = q(nzt+1,:,:)
607	ELSEIF ( ibc_q_t == 1 ) THEN
608	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
609	ENDIF
610
611	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
612	!
613	!-- Surface conditions cloud water (Dirichlet)
614	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
615	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
616	!-- qr_p and nr_p at k-1
617	!$OMP PARALLEL DO PRIVATE( i, j, k )
618	DO m = 1, bc_h(0)%ns
619	i = bc_h(0)%i(m)
620	j = bc_h(0)%j(m)
621	k = bc_h(0)%k(m)
622	qc_p(k-1,j,i) = 0.0_wp
623	nc_p(k-1,j,i) = 0.0_wp
624	ENDDO
625	!
626	!-- Top boundary condition for cloud water (Dirichlet)
627	qc_p(nzt+1,:,:) = 0.0_wp
628	nc_p(nzt+1,:,:) = 0.0_wp
629
630	ENDIF
631
632	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
633	!
634	!-- Surface conditions rain water (Dirichlet)
635	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
636	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
637	!-- qr_p and nr_p at k-1
638	!$OMP PARALLEL DO PRIVATE( i, j, k )
639	DO m = 1, bc_h(0)%ns
640	i = bc_h(0)%i(m)
641	j = bc_h(0)%j(m)
642	k = bc_h(0)%k(m)
643	qr_p(k-1,j,i) = 0.0_wp
644	nr_p(k-1,j,i) = 0.0_wp
645	ENDDO
646	!
647	!-- Top boundary condition for rain water (Dirichlet)
648	qr_p(nzt+1,:,:) = 0.0_wp
649	nr_p(nzt+1,:,:) = 0.0_wp
650
651	ENDIF
652	ENDIF
653	!
654	!-- Boundary conditions for scalar,
655	!-- bottom and top boundary (see also temperature)
656	IF ( passive_scalar ) THEN
657	!
658	!-- Surface conditions for constant_humidity_flux
659	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
660	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
661	!-- s_p at k-1
662	IF ( ibc_s_b == 0 ) THEN
663
664	DO l = 0, 1
665	!
666	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
667	!-- for downward-facing surfaces at topography bottom (k+1).
668	kb = MERGE( -1, 1, l == 0 )
669	!$OMP PARALLEL DO PRIVATE( i, j, k )
670	DO m = 1, bc_h(l)%ns
671	i = bc_h(l)%i(m)
672	j = bc_h(l)%j(m)
673	k = bc_h(l)%k(m)
674	s_p(k+kb,j,i) = s(k+kb,j,i)
675	ENDDO
676	ENDDO
677
678	ELSE
679
680	DO l = 0, 1
681	!
682	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
683	!-- for downward-facing surfaces at topography bottom (k+1).
684	kb = MERGE( -1, 1, l == 0 )
685	!$OMP PARALLEL DO PRIVATE( i, j, k )
686	DO m = 1, bc_h(l)%ns
687	i = bc_h(l)%i(m)
688	j = bc_h(l)%j(m)
689	k = bc_h(l)%k(m)
690	s_p(k+kb,j,i) = s_p(k,j,i)
691	ENDDO
692	ENDDO
693	ENDIF
694	!
695	!-- Top boundary condition
696	IF ( ibc_s_t == 0 ) THEN
697	s_p(nzt+1,:,:) = s(nzt+1,:,:)
698	ELSEIF ( ibc_s_t == 1 ) THEN
699	s_p(nzt+1,:,:) = s_p(nzt,:,:)
700	ELSEIF ( ibc_s_t == 2 ) THEN
701	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
702	ENDIF
703
704	ENDIF
705	!
706	!-- Top/bottom boundary conditions for chemical species
707	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
708	!
709	!-- In case of inflow or nest boundary at the south boundary the boundary for v
710	!-- is at nys and in case of inflow or nest boundary at the left boundary the
711	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
712	!-- version) these levels are handled as a prognostic level, boundary values
713	!-- have to be restored here.
714	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
715	IF ( bc_dirichlet_s ) THEN
716	v_p(:,nys,:) = v_p(:,nys-1,:)
717	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
718	ELSEIF ( bc_dirichlet_n ) THEN
719	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
720	ELSEIF ( bc_dirichlet_l ) THEN
721	u_p(:,:,nxl) = u_p(:,:,nxl-1)
722	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
723	ELSEIF ( bc_dirichlet_r ) THEN
724	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
725	ENDIF
726
727	!
728	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
729	!-- in case of nest boundaries. This must not be done in case of vertical nesting
730	!-- mode as in that case the lateral boundaries are actually cyclic.
731	!-- @todo: Is this really needed? Boundary values will be overwritten in
732	!-- coupler or by Inifor data.
733	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
734	IF ( bc_dirichlet_s ) THEN
735	v_p(:,nys,:) = v_p(:,nys-1,:)
736	ENDIF
737	IF ( bc_dirichlet_l ) THEN
738	u_p(:,:,nxl) = u_p(:,:,nxl-1)
739	ENDIF
740	ENDIF
741
742	!
743	!-- Lateral boundary conditions for scalar quantities at the outflow
744	IF ( bc_radiation_s ) THEN
745	pt_p(:,nys-1,:) = pt_p(:,nys,:)
746	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
747	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
748	IF ( humidity ) THEN
749	q_p(:,nys-1,:) = q_p(:,nys,:)
750	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
751	qc_p(:,nys-1,:) = qc_p(:,nys,:)
752	nc_p(:,nys-1,:) = nc_p(:,nys,:)
753	ENDIF
754	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
755	qr_p(:,nys-1,:) = qr_p(:,nys,:)
756	nr_p(:,nys-1,:) = nr_p(:,nys,:)
757	ENDIF
758	ENDIF
759	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
760	ELSEIF ( bc_radiation_n ) THEN
761	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
762	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
763	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
764	IF ( humidity ) THEN
765	q_p(:,nyn+1,:) = q_p(:,nyn,:)
766	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
767	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
768	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
769	ENDIF
770	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
771	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
772	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
773	ENDIF
774	ENDIF
775	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
776	ELSEIF ( bc_radiation_l ) THEN
777	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
778	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
779	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
780	IF ( humidity ) THEN
781	q_p(:,:,nxl-1) = q_p(:,:,nxl)
782	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
783	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
784	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
785	ENDIF
786	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
787	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
788	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
789	ENDIF
790	ENDIF
791	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
792	ELSEIF ( bc_radiation_r ) THEN
793	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
794	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
795	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
796	IF ( humidity ) THEN
797	q_p(:,:,nxr+1) = q_p(:,:,nxr)
798	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
799	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
800	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
801	ENDIF
802	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
803	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
804	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
805	ENDIF
806	ENDIF
807	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
808	ENDIF
809
810	!
811	!-- Lateral boundary conditions for chemical species
812	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
813
814	!
815	!-- Radiation boundary conditions for the velocities at the respective outflow.
816	!-- The phase velocity is either assumed to the maximum phase velocity that
817	!-- ensures numerical stability (CFL-condition) or calculated after
818	!-- Orlanski(1976) and averaged along the outflow boundary.
819	IF ( bc_radiation_s ) THEN
820
821	IF ( use_cmax ) THEN
822	u_p(:,-1,:) = u(:,0,:)
823	v_p(:,0,:) = v(:,1,:)
824	w_p(:,-1,:) = w(:,0,:)
825	ELSEIF ( .NOT. use_cmax ) THEN
826
827	c_max = dy / dt_3d
828
829	c_u_m_l = 0.0_wp
830	c_v_m_l = 0.0_wp
831	c_w_m_l = 0.0_wp
832
833	c_u_m = 0.0_wp
834	c_v_m = 0.0_wp
835	c_w_m = 0.0_wp
836
837	!
838	!-- Calculate the phase speeds for u, v, and w, first local and then
839	!-- average along the outflow boundary.
840	DO k = nzb+1, nzt+1
841	DO i = nxl, nxr
842
843	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
844
845	IF ( denom /= 0.0_wp ) THEN
846	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
847	IF ( c_u(k,i) < 0.0_wp ) THEN
848	c_u(k,i) = 0.0_wp
849	ELSEIF ( c_u(k,i) > c_max ) THEN
850	c_u(k,i) = c_max
851	ENDIF
852	ELSE
853	c_u(k,i) = c_max
854	ENDIF
855
856	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
857
858	IF ( denom /= 0.0_wp ) THEN
859	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
860	IF ( c_v(k,i) < 0.0_wp ) THEN
861	c_v(k,i) = 0.0_wp
862	ELSEIF ( c_v(k,i) > c_max ) THEN
863	c_v(k,i) = c_max
864	ENDIF
865	ELSE
866	c_v(k,i) = c_max
867	ENDIF
868
869	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
870
871	IF ( denom /= 0.0_wp ) THEN
872	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
873	IF ( c_w(k,i) < 0.0_wp ) THEN
874	c_w(k,i) = 0.0_wp
875	ELSEIF ( c_w(k,i) > c_max ) THEN
876	c_w(k,i) = c_max
877	ENDIF
878	ELSE
879	c_w(k,i) = c_max
880	ENDIF
881
882	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
883	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
884	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
885
886	ENDDO
887	ENDDO
888
889	#if defined( __parallel )
890	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
891	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
892	MPI_SUM, comm1dx, ierr )
893	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
894	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
895	MPI_SUM, comm1dx, ierr )
896	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
897	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
898	MPI_SUM, comm1dx, ierr )
899	#else
900	c_u_m = c_u_m_l
901	c_v_m = c_v_m_l
902	c_w_m = c_w_m_l
903	#endif
904
905	c_u_m = c_u_m / (nx+1)
906	c_v_m = c_v_m / (nx+1)
907	c_w_m = c_w_m / (nx+1)
908
909	!
910	!-- Save old timelevels for the next timestep
911	IF ( intermediate_timestep_count == 1 ) THEN
912	u_m_s(:,:,:) = u(:,0:1,:)
913	v_m_s(:,:,:) = v(:,1:2,:)
914	w_m_s(:,:,:) = w(:,0:1,:)
915	ENDIF
916
917	!
918	!-- Calculate the new velocities
919	DO k = nzb+1, nzt+1
920	DO i = nxlg, nxrg
921	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
922	( u(k,-1,i) - u(k,0,i) ) * ddy
923
924	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
925	( v(k,0,i) - v(k,1,i) ) * ddy
926
927	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
928	( w(k,-1,i) - w(k,0,i) ) * ddy
929	ENDDO
930	ENDDO
931
932	!
933	!-- Bottom boundary at the outflow
934	IF ( ibc_uv_b == 0 ) THEN
935	u_p(nzb,-1,:) = 0.0_wp
936	v_p(nzb,0,:) = 0.0_wp
937	ELSE
938	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
939	v_p(nzb,0,:) = v_p(nzb+1,0,:)
940	ENDIF
941	w_p(nzb,-1,:) = 0.0_wp
942
943	!
944	!-- Top boundary at the outflow
945	IF ( ibc_uv_t == 0 ) THEN
946	u_p(nzt+1,-1,:) = u_init(nzt+1)
947	v_p(nzt+1,0,:) = v_init(nzt+1)
948	ELSE
949	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
950	v_p(nzt+1,0,:) = v_p(nzt,0,:)
951	ENDIF
952	w_p(nzt:nzt+1,-1,:) = 0.0_wp
953
954	ENDIF
955
956	ENDIF
957
958	IF ( bc_radiation_n ) THEN
959
960	IF ( use_cmax ) THEN
961	u_p(:,ny+1,:) = u(:,ny,:)
962	v_p(:,ny+1,:) = v(:,ny,:)
963	w_p(:,ny+1,:) = w(:,ny,:)
964	ELSEIF ( .NOT. use_cmax ) THEN
965
966	c_max = dy / dt_3d
967
968	c_u_m_l = 0.0_wp
969	c_v_m_l = 0.0_wp
970	c_w_m_l = 0.0_wp
971
972	c_u_m = 0.0_wp
973	c_v_m = 0.0_wp
974	c_w_m = 0.0_wp
975
976	!
977	!-- Calculate the phase speeds for u, v, and w, first local and then
978	!-- average along the outflow boundary.
979	DO k = nzb+1, nzt+1
980	DO i = nxl, nxr
981
982	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
983
984	IF ( denom /= 0.0_wp ) THEN
985	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
986	IF ( c_u(k,i) < 0.0_wp ) THEN
987	c_u(k,i) = 0.0_wp
988	ELSEIF ( c_u(k,i) > c_max ) THEN
989	c_u(k,i) = c_max
990	ENDIF
991	ELSE
992	c_u(k,i) = c_max
993	ENDIF
994
995	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
996
997	IF ( denom /= 0.0_wp ) THEN
998	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
999	IF ( c_v(k,i) < 0.0_wp ) THEN
1000	c_v(k,i) = 0.0_wp
1001	ELSEIF ( c_v(k,i) > c_max ) THEN
1002	c_v(k,i) = c_max
1003	ENDIF
1004	ELSE
1005	c_v(k,i) = c_max
1006	ENDIF
1007
1008	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
1009
1010	IF ( denom /= 0.0_wp ) THEN
1011	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
1012	IF ( c_w(k,i) < 0.0_wp ) THEN
1013	c_w(k,i) = 0.0_wp
1014	ELSEIF ( c_w(k,i) > c_max ) THEN
1015	c_w(k,i) = c_max
1016	ENDIF
1017	ELSE
1018	c_w(k,i) = c_max
1019	ENDIF
1020
1021	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
1022	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
1023	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
1024
1025	ENDDO
1026	ENDDO
1027
1028	#if defined( __parallel )
1029	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
1030	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
1031	MPI_SUM, comm1dx, ierr )
1032	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
1033	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
1034	MPI_SUM, comm1dx, ierr )
1035	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
1036	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
1037	MPI_SUM, comm1dx, ierr )
1038	#else
1039	c_u_m = c_u_m_l
1040	c_v_m = c_v_m_l
1041	c_w_m = c_w_m_l
1042	#endif
1043
1044	c_u_m = c_u_m / (nx+1)
1045	c_v_m = c_v_m / (nx+1)
1046	c_w_m = c_w_m / (nx+1)
1047
1048	!
1049	!-- Save old timelevels for the next timestep
1050	IF ( intermediate_timestep_count == 1 ) THEN
1051	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1052	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1053	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1054	ENDIF
1055
1056	!
1057	!-- Calculate the new velocities
1058	DO k = nzb+1, nzt+1
1059	DO i = nxlg, nxrg
1060	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
1061	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
1062
1063	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
1064	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
1065
1066	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
1067	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
1068	ENDDO
1069	ENDDO
1070
1071	!
1072	!-- Bottom boundary at the outflow
1073	IF ( ibc_uv_b == 0 ) THEN
1074	u_p(nzb,ny+1,:) = 0.0_wp
1075	v_p(nzb,ny+1,:) = 0.0_wp
1076	ELSE
1077	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
1078	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
1079	ENDIF
1080	w_p(nzb,ny+1,:) = 0.0_wp
1081
1082	!
1083	!-- Top boundary at the outflow
1084	IF ( ibc_uv_t == 0 ) THEN
1085	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
1086	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
1087	ELSE
1088	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
1089	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
1090	ENDIF
1091	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
1092
1093	ENDIF
1094
1095	ENDIF
1096
1097	IF ( bc_radiation_l ) THEN
1098
1099	IF ( use_cmax ) THEN
1100	u_p(:,:,0) = u(:,:,1)
1101	v_p(:,:,-1) = v(:,:,0)
1102	w_p(:,:,-1) = w(:,:,0)
1103	ELSEIF ( .NOT. use_cmax ) THEN
1104
1105	c_max = dx / dt_3d
1106
1107	c_u_m_l = 0.0_wp
1108	c_v_m_l = 0.0_wp
1109	c_w_m_l = 0.0_wp
1110
1111	c_u_m = 0.0_wp
1112	c_v_m = 0.0_wp
1113	c_w_m = 0.0_wp
1114
1115	!
1116	!-- Calculate the phase speeds for u, v, and w, first local and then
1117	!-- average along the outflow boundary.
1118	DO k = nzb+1, nzt+1
1119	DO j = nys, nyn
1120
1121	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
1122
1123	IF ( denom /= 0.0_wp ) THEN
1124	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
1125	IF ( c_u(k,j) < 0.0_wp ) THEN
1126	c_u(k,j) = 0.0_wp
1127	ELSEIF ( c_u(k,j) > c_max ) THEN
1128	c_u(k,j) = c_max
1129	ENDIF
1130	ELSE
1131	c_u(k,j) = c_max
1132	ENDIF
1133
1134	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
1135
1136	IF ( denom /= 0.0_wp ) THEN
1137	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
1138	IF ( c_v(k,j) < 0.0_wp ) THEN
1139	c_v(k,j) = 0.0_wp
1140	ELSEIF ( c_v(k,j) > c_max ) THEN
1141	c_v(k,j) = c_max
1142	ENDIF
1143	ELSE
1144	c_v(k,j) = c_max
1145	ENDIF
1146
1147	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
1148
1149	IF ( denom /= 0.0_wp ) THEN
1150	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
1151	IF ( c_w(k,j) < 0.0_wp ) THEN
1152	c_w(k,j) = 0.0_wp
1153	ELSEIF ( c_w(k,j) > c_max ) THEN
1154	c_w(k,j) = c_max
1155	ENDIF
1156	ELSE
1157	c_w(k,j) = c_max
1158	ENDIF
1159
1160	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
1161	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
1162	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
1163
1164	ENDDO
1165	ENDDO
1166
1167	#if defined( __parallel )
1168	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1169	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
1170	MPI_SUM, comm1dy, ierr )
1171	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1172	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
1173	MPI_SUM, comm1dy, ierr )
1174	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1175	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
1176	MPI_SUM, comm1dy, ierr )
1177	#else
1178	c_u_m = c_u_m_l
1179	c_v_m = c_v_m_l
1180	c_w_m = c_w_m_l
1181	#endif
1182
1183	c_u_m = c_u_m / (ny+1)
1184	c_v_m = c_v_m / (ny+1)
1185	c_w_m = c_w_m / (ny+1)
1186
1187	!
1188	!-- Save old timelevels for the next timestep
1189	IF ( intermediate_timestep_count == 1 ) THEN
1190	u_m_l(:,:,:) = u(:,:,1:2)
1191	v_m_l(:,:,:) = v(:,:,0:1)
1192	w_m_l(:,:,:) = w(:,:,0:1)
1193	ENDIF
1194
1195	!
1196	!-- Calculate the new velocities
1197	DO k = nzb+1, nzt+1
1198	DO j = nysg, nyng
1199	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
1200	( u(k,j,0) - u(k,j,1) ) * ddx
1201
1202	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
1203	( v(k,j,-1) - v(k,j,0) ) * ddx
1204
1205	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
1206	( w(k,j,-1) - w(k,j,0) ) * ddx
1207	ENDDO
1208	ENDDO
1209
1210	!
1211	!-- Bottom boundary at the outflow
1212	IF ( ibc_uv_b == 0 ) THEN
1213	u_p(nzb,:,0) = 0.0_wp
1214	v_p(nzb,:,-1) = 0.0_wp
1215	ELSE
1216	u_p(nzb,:,0) = u_p(nzb+1,:,0)
1217	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
1218	ENDIF
1219	w_p(nzb,:,-1) = 0.0_wp
1220
1221	!
1222	!-- Top boundary at the outflow
1223	IF ( ibc_uv_t == 0 ) THEN
1224	u_p(nzt+1,:,0) = u_init(nzt+1)
1225	v_p(nzt+1,:,-1) = v_init(nzt+1)
1226	ELSE
1227	u_p(nzt+1,:,0) = u_p(nzt,:,0)
1228	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
1229	ENDIF
1230	w_p(nzt:nzt+1,:,-1) = 0.0_wp
1231
1232	ENDIF
1233
1234	ENDIF
1235
1236	IF ( bc_radiation_r ) THEN
1237
1238	IF ( use_cmax ) THEN
1239	u_p(:,:,nx+1) = u(:,:,nx)
1240	v_p(:,:,nx+1) = v(:,:,nx)
1241	w_p(:,:,nx+1) = w(:,:,nx)
1242	ELSEIF ( .NOT. use_cmax ) THEN
1243
1244	c_max = dx / dt_3d
1245
1246	c_u_m_l = 0.0_wp
1247	c_v_m_l = 0.0_wp
1248	c_w_m_l = 0.0_wp
1249
1250	c_u_m = 0.0_wp
1251	c_v_m = 0.0_wp
1252	c_w_m = 0.0_wp
1253
1254	!
1255	!-- Calculate the phase speeds for u, v, and w, first local and then
1256	!-- average along the outflow boundary.
1257	DO k = nzb+1, nzt+1
1258	DO j = nys, nyn
1259
1260	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
1261
1262	IF ( denom /= 0.0_wp ) THEN
1263	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
1264	IF ( c_u(k,j) < 0.0_wp ) THEN
1265	c_u(k,j) = 0.0_wp
1266	ELSEIF ( c_u(k,j) > c_max ) THEN
1267	c_u(k,j) = c_max
1268	ENDIF
1269	ELSE
1270	c_u(k,j) = c_max
1271	ENDIF
1272
1273	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
1274
1275	IF ( denom /= 0.0_wp ) THEN
1276	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
1277	IF ( c_v(k,j) < 0.0_wp ) THEN
1278	c_v(k,j) = 0.0_wp
1279	ELSEIF ( c_v(k,j) > c_max ) THEN
1280	c_v(k,j) = c_max
1281	ENDIF
1282	ELSE
1283	c_v(k,j) = c_max
1284	ENDIF
1285
1286	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
1287
1288	IF ( denom /= 0.0_wp ) THEN
1289	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
1290	IF ( c_w(k,j) < 0.0_wp ) THEN
1291	c_w(k,j) = 0.0_wp
1292	ELSEIF ( c_w(k,j) > c_max ) THEN
1293	c_w(k,j) = c_max
1294	ENDIF
1295	ELSE
1296	c_w(k,j) = c_max
1297	ENDIF
1298
1299	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
1300	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
1301	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
1302
1303	ENDDO
1304	ENDDO
1305
1306	#if defined( __parallel )
1307	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1308	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
1309	MPI_SUM, comm1dy, ierr )
1310	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1311	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
1312	MPI_SUM, comm1dy, ierr )
1313	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
1314	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
1315	MPI_SUM, comm1dy, ierr )
1316	#else
1317	c_u_m = c_u_m_l
1318	c_v_m = c_v_m_l
1319	c_w_m = c_w_m_l
1320	#endif
1321
1322	c_u_m = c_u_m / (ny+1)
1323	c_v_m = c_v_m / (ny+1)
1324	c_w_m = c_w_m / (ny+1)
1325
1326	!
1327	!-- Save old timelevels for the next timestep
1328	IF ( intermediate_timestep_count == 1 ) THEN
1329	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1330	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1331	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1332	ENDIF
1333
1334	!
1335	!-- Calculate the new velocities
1336	DO k = nzb+1, nzt+1
1337	DO j = nysg, nyng
1338	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
1339	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
1340
1341	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
1342	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
1343
1344	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
1345	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
1346	ENDDO
1347	ENDDO
1348
1349	!
1350	!-- Bottom boundary at the outflow
1351	IF ( ibc_uv_b == 0 ) THEN
1352	u_p(nzb,:,nx+1) = 0.0_wp
1353	v_p(nzb,:,nx+1) = 0.0_wp
1354	ELSE
1355	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
1356	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
1357	ENDIF
1358	w_p(nzb,:,nx+1) = 0.0_wp
1359
1360	!
1361	!-- Top boundary at the outflow
1362	IF ( ibc_uv_t == 0 ) THEN
1363	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
1364	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
1365	ELSE
1366	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
1367	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
1368	ENDIF
1369	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
1370
1371	ENDIF
1372
1373	ENDIF
1374
1375	END SUBROUTINE boundary_conds

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