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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1876

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1	!> @file boundary_conds.f90
2	!--------------------------------------------------------------------------------!
3	! This file is part of PALM.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms
6	! of the GNU General Public License as published by the Free Software Foundation,
7	! either version 3 of the License, or (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with
14	! PALM. If not, see <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2016 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: boundary_conds.f90 1823 2016-04-07 08:57:52Z raasch $
26	!
27	! 1822 2016-04-07 07:49:42Z hoffmann
28	! icloud_scheme removed. microphyisics_seifert added.
29	!
30	! 1764 2016-02-28 12:45:19Z raasch
31	! index bug for u_p at left outflow removed
32	!
33	! 1762 2016-02-25 12:31:13Z hellstea
34	! Introduction of nested domain feature
35	!
36	! 1742 2016-01-13 09:50:06Z raasch
37	! bugfix for outflow Neumann boundary conditions at bottom and top
38	!
39	! 1717 2015-11-11 15:09:47Z raasch
40	! Bugfix: index error in outflow conditions for left boundary
41	!
42	! 1682 2015-10-07 23:56:08Z knoop
43	! Code annotations made doxygen readable
44	!
45	! 1410 2014-05-23 12:16:18Z suehring
46	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
47	! top
48	!
49	! 1399 2014-05-07 11:16:25Z heinze
50	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
51	! is used.
52	!
53	! 1398 2014-05-07 11:15:00Z heinze
54	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
55	! for large_scale_forcing
56	!
57	! 1380 2014-04-28 12:40:45Z heinze
58	! Adjust Dirichlet-condition at the top for pt in case of nudging
59	!
60	! 1361 2014-04-16 15:17:48Z hoffmann
61	! Bottom and top boundary conditions of rain water content (qr) and
62	! rain drop concentration (nr) changed to Dirichlet
63	!
64	! 1353 2014-04-08 15:21:23Z heinze
65	! REAL constants provided with KIND-attribute
66	!
67	! 1320 2014-03-20 08:40:49Z raasch
68	! ONLY-attribute added to USE-statements,
69	! kind-parameters added to all INTEGER and REAL declaration statements,
70	! kinds are defined in new module kinds,
71	! revision history before 2012 removed,
72	! comment fields (!:) to be used for variable explanations added to
73	! all variable declaration statements
74	!
75	! 1257 2013-11-08 15:18:40Z raasch
76	! loop independent clauses added
77	!
78	! 1241 2013-10-30 11:36:58Z heinze
79	! Adjust ug and vg at each timestep in case of large_scale_forcing
80	!
81	! 1159 2013-05-21 11:58:22Z fricke
82	! Bugfix: Neumann boundary conditions for the velocity components at the
83	! outflow are in fact radiation boundary conditions using the maximum phase
84	! velocity that ensures numerical stability (CFL-condition).
85	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
86	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
87	! u_p, v_p, w_p
88	!
89	! 1115 2013-03-26 18:16:16Z hoffmann
90	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
91	! boundary-conditions
92	!
93	! 1113 2013-03-10 02:48:14Z raasch
94	! GPU-porting
95	! dummy argument "range" removed
96	! Bugfix: wrong index in loops of radiation boundary condition
97	!
98	! 1053 2012-11-13 17:11:03Z hoffmann
99	! boundary conditions for the two new prognostic equations (nr, qr) of the
100	! two-moment cloud scheme
101	!
102	! 1036 2012-10-22 13:43:42Z raasch
103	! code put under GPL (PALM 3.9)
104	!
105	! 996 2012-09-07 10:41:47Z raasch
106	! little reformatting
107	!
108	! 978 2012-08-09 08:28:32Z fricke
109	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
110	! Outflow boundary conditions for the velocity components can be set to Neumann
111	! conditions or to radiation conditions with a horizontal averaged phase
112	! velocity.
113	!
114	! 875 2012-04-02 15:35:15Z gryschka
115	! Bugfix in case of dirichlet inflow bc at the right or north boundary
116	!
117	! Revision 1.1 1997/09/12 06:21:34 raasch
118	! Initial revision
119	!
120	!
121	! Description:
122	! ------------
123	!> Boundary conditions for the prognostic quantities.
124	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
125	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
126	!> handled in routine exchange_horiz. Pressure boundary conditions are
127	!> explicitly set in routines pres, poisfft, poismg and sor.
128	!------------------------------------------------------------------------------!
129	SUBROUTINE boundary_conds
130
131
132	USE arrays_3d, &
133	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, &
134	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
135	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
136	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
137	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
138	pt_init
139
140	USE control_parameters, &
141	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
142	cloud_physics, dt_3d, humidity, &
143	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
144	ibc_uv_t, inflow_l, inflow_n, inflow_r, inflow_s, &
145	intermediate_timestep_count, large_scale_forcing, &
146	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
147	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
148	passive_scalar, tsc, use_cmax
149
150	USE grid_variables, &
151	ONLY: ddx, ddy, dx, dy
152
153	USE indices, &
154	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
155	nzb, nzb_s_inner, nzb_w_inner, nzt
156
157	USE kinds
158
159	USE pegrid
160
161
162	IMPLICIT NONE
163
164	INTEGER(iwp) :: i !<
165	INTEGER(iwp) :: j !<
166	INTEGER(iwp) :: k !<
167
168	REAL(wp) :: c_max !<
169	REAL(wp) :: denom !<
170
171
172	!
173	!-- Bottom boundary
174	IF ( ibc_uv_b == 1 ) THEN
175	!$acc kernels present( u_p, v_p )
176	u_p(nzb,:,:) = u_p(nzb+1,:,:)
177	v_p(nzb,:,:) = v_p(nzb+1,:,:)
178	!$acc end kernels
179	ENDIF
180
181	!$acc kernels present( nzb_w_inner, w_p )
182	DO i = nxlg, nxrg
183	DO j = nysg, nyng
184	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
185	ENDDO
186	ENDDO
187	!$acc end kernels
188
189	!
190	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
191	IF ( ibc_uv_t == 0 ) THEN
192	!$acc kernels present( u_init, u_p, v_init, v_p )
193	u_p(nzt+1,:,:) = u_init(nzt+1)
194	v_p(nzt+1,:,:) = v_init(nzt+1)
195	!$acc end kernels
196	ELSEIF ( ibc_uv_t == 1 ) THEN
197	!$acc kernels present( u_p, v_p )
198	u_p(nzt+1,:,:) = u_p(nzt,:,:)
199	v_p(nzt+1,:,:) = v_p(nzt,:,:)
200	!$acc end kernels
201	ENDIF
202
203	IF ( .NOT. nest_domain ) THEN
204	!$acc kernels present( w_p )
205	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
206	!$acc end kernels
207	ENDIF
208
209	!
210	!-- Temperature at bottom boundary.
211	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
212	!-- the sea surface temperature of the coupled ocean model.
213	IF ( ibc_pt_b == 0 ) THEN
214	!$acc kernels present( nzb_s_inner, pt, pt_p )
215	!$acc loop independent
216	DO i = nxlg, nxrg
217	!$acc loop independent
218	DO j = nysg, nyng
219	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
220	ENDDO
221	ENDDO
222	!$acc end kernels
223	ELSEIF ( ibc_pt_b == 1 ) THEN
224	!$acc kernels present( nzb_s_inner, pt_p )
225	!$acc loop independent
226	DO i = nxlg, nxrg
227	!$acc loop independent
228	DO j = nysg, nyng
229	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
230	ENDDO
231	ENDDO
232	!$acc end kernels
233	ENDIF
234
235	!
236	!-- Temperature at top boundary
237	IF ( ibc_pt_t == 0 ) THEN
238	!$acc kernels present( pt, pt_p )
239	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
240	!
241	!-- In case of nudging adjust top boundary to pt which is
242	!-- read in from NUDGING-DATA
243	IF ( nudging ) THEN
244	pt_p(nzt+1,:,:) = pt_init(nzt+1)
245	ENDIF
246	!$acc end kernels
247	ELSEIF ( ibc_pt_t == 1 ) THEN
248	!$acc kernels present( pt_p )
249	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
250	!$acc end kernels
251	ELSEIF ( ibc_pt_t == 2 ) THEN
252	!$acc kernels present( dzu, pt_p )
253	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
254	!$acc end kernels
255	ENDIF
256
257	!
258	!-- Boundary conditions for TKE
259	!-- Generally Neumann conditions with de/dz=0 are assumed
260	IF ( .NOT. constant_diffusion ) THEN
261	!$acc kernels present( e_p, nzb_s_inner )
262	!$acc loop independent
263	DO i = nxlg, nxrg
264	!$acc loop independent
265	DO j = nysg, nyng
266	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
267	ENDDO
268	ENDDO
269	IF ( .NOT. nest_domain ) THEN
270	e_p(nzt+1,:,:) = e_p(nzt,:,:)
271	ENDIF
272	!$acc end kernels
273	ENDIF
274
275	!
276	!-- Boundary conditions for salinity
277	IF ( ocean ) THEN
278	!
279	!-- Bottom boundary: Neumann condition because salinity flux is always
280	!-- given
281	DO i = nxlg, nxrg
282	DO j = nysg, nyng
283	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
284	ENDDO
285	ENDDO
286
287	!
288	!-- Top boundary: Dirichlet or Neumann
289	IF ( ibc_sa_t == 0 ) THEN
290	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
291	ELSEIF ( ibc_sa_t == 1 ) THEN
292	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
293	ENDIF
294
295	ENDIF
296
297	!
298	!-- Boundary conditions for total water content or scalar,
299	!-- bottom and top boundary (see also temperature)
300	IF ( humidity .OR. passive_scalar ) THEN
301	!
302	!-- Surface conditions for constant_humidity_flux
303	IF ( ibc_q_b == 0 ) THEN
304	DO i = nxlg, nxrg
305	DO j = nysg, nyng
306	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
307	ENDDO
308	ENDDO
309	ELSE
310	DO i = nxlg, nxrg
311	DO j = nysg, nyng
312	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
313	ENDDO
314	ENDDO
315	ENDIF
316	!
317	!-- Top boundary
318	IF ( ibc_q_t == 0 ) THEN
319	q_p(nzt+1,:,:) = q(nzt+1,:,:)
320	ELSEIF ( ibc_q_t == 1 ) THEN
321	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
322	ENDIF
323
324	IF ( cloud_physics .AND. microphysics_seifert ) THEN
325	!
326	!-- Surface conditions rain water (Dirichlet)
327	DO i = nxlg, nxrg
328	DO j = nysg, nyng
329	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
330	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
331	ENDDO
332	ENDDO
333	!
334	!-- Top boundary condition for rain water (Dirichlet)
335	qr_p(nzt+1,:,:) = 0.0_wp
336	nr_p(nzt+1,:,:) = 0.0_wp
337
338	ENDIF
339	ENDIF
340	!
341	!-- In case of inflow or nest boundary at the south boundary the boundary for v
342	!-- is at nys and in case of inflow or nest boundary at the left boundary the
343	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
344	!-- version) these levels are handled as a prognostic level, boundary values
345	!-- have to be restored here.
346	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
347	IF ( inflow_s ) THEN
348	v_p(:,nys,:) = v_p(:,nys-1,:)
349	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
350	ELSEIF ( inflow_n ) THEN
351	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
352	ELSEIF ( inflow_l ) THEN
353	u_p(:,:,nxl) = u_p(:,:,nxl-1)
354	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
355	ELSEIF ( inflow_r ) THEN
356	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
357	ENDIF
358
359	!
360	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
361	!-- in case of nest boundaries. Note however, that the above ELSEIF-structure is
362	!-- not appropriate here as there may be more than one nest boundary on a
363	!-- PE-domain. Furthermore Neumann conditions for SGS-TKE are not required here.
364	IF ( nest_bound_s ) THEN
365	v_p(:,nys,:) = v_p(:,nys-1,:)
366	ENDIF
367	IF ( nest_bound_l ) THEN
368	u_p(:,:,nxl) = u_p(:,:,nxl-1)
369	ENDIF
370
371	!
372	!-- Lateral boundary conditions for scalar quantities at the outflow
373	IF ( outflow_s ) THEN
374	pt_p(:,nys-1,:) = pt_p(:,nys,:)
375	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
376	IF ( humidity .OR. passive_scalar ) THEN
377	q_p(:,nys-1,:) = q_p(:,nys,:)
378	IF ( cloud_physics .AND. microphysics_seifert ) THEN
379	qr_p(:,nys-1,:) = qr_p(:,nys,:)
380	nr_p(:,nys-1,:) = nr_p(:,nys,:)
381	ENDIF
382	ENDIF
383	ELSEIF ( outflow_n ) THEN
384	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
385	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
386	IF ( humidity .OR. passive_scalar ) THEN
387	q_p(:,nyn+1,:) = q_p(:,nyn,:)
388	IF ( cloud_physics .AND. microphysics_seifert ) THEN
389	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
390	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
391	ENDIF
392	ENDIF
393	ELSEIF ( outflow_l ) THEN
394	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
395	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
396	IF ( humidity .OR. passive_scalar ) THEN
397	q_p(:,:,nxl-1) = q_p(:,:,nxl)
398	IF ( cloud_physics .AND. microphysics_seifert ) THEN
399	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
400	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
401	ENDIF
402	ENDIF
403	ELSEIF ( outflow_r ) THEN
404	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
405	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
406	IF ( humidity .OR. passive_scalar ) THEN
407	q_p(:,:,nxr+1) = q_p(:,:,nxr)
408	IF ( cloud_physics .AND. microphysics_seifert ) THEN
409	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
410	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
411	ENDIF
412	ENDIF
413	ENDIF
414
415	!
416	!-- Radiation boundary conditions for the velocities at the respective outflow.
417	!-- The phase velocity is either assumed to the maximum phase velocity that
418	!-- ensures numerical stability (CFL-condition) or calculated after
419	!-- Orlanski(1976) and averaged along the outflow boundary.
420	IF ( outflow_s ) THEN
421
422	IF ( use_cmax ) THEN
423	u_p(:,-1,:) = u(:,0,:)
424	v_p(:,0,:) = v(:,1,:)
425	w_p(:,-1,:) = w(:,0,:)
426	ELSEIF ( .NOT. use_cmax ) THEN
427
428	c_max = dy / dt_3d
429
430	c_u_m_l = 0.0_wp
431	c_v_m_l = 0.0_wp
432	c_w_m_l = 0.0_wp
433
434	c_u_m = 0.0_wp
435	c_v_m = 0.0_wp
436	c_w_m = 0.0_wp
437
438	!
439	!-- Calculate the phase speeds for u, v, and w, first local and then
440	!-- average along the outflow boundary.
441	DO k = nzb+1, nzt+1
442	DO i = nxl, nxr
443
444	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
445
446	IF ( denom /= 0.0_wp ) THEN
447	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
448	IF ( c_u(k,i) < 0.0_wp ) THEN
449	c_u(k,i) = 0.0_wp
450	ELSEIF ( c_u(k,i) > c_max ) THEN
451	c_u(k,i) = c_max
452	ENDIF
453	ELSE
454	c_u(k,i) = c_max
455	ENDIF
456
457	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
458
459	IF ( denom /= 0.0_wp ) THEN
460	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
461	IF ( c_v(k,i) < 0.0_wp ) THEN
462	c_v(k,i) = 0.0_wp
463	ELSEIF ( c_v(k,i) > c_max ) THEN
464	c_v(k,i) = c_max
465	ENDIF
466	ELSE
467	c_v(k,i) = c_max
468	ENDIF
469
470	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
471
472	IF ( denom /= 0.0_wp ) THEN
473	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
474	IF ( c_w(k,i) < 0.0_wp ) THEN
475	c_w(k,i) = 0.0_wp
476	ELSEIF ( c_w(k,i) > c_max ) THEN
477	c_w(k,i) = c_max
478	ENDIF
479	ELSE
480	c_w(k,i) = c_max
481	ENDIF
482
483	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
484	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
485	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
486
487	ENDDO
488	ENDDO
489
490	#if defined( __parallel )
491	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
492	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
493	MPI_SUM, comm1dx, ierr )
494	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
495	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
496	MPI_SUM, comm1dx, ierr )
497	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
498	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
499	MPI_SUM, comm1dx, ierr )
500	#else
501	c_u_m = c_u_m_l
502	c_v_m = c_v_m_l
503	c_w_m = c_w_m_l
504	#endif
505
506	c_u_m = c_u_m / (nx+1)
507	c_v_m = c_v_m / (nx+1)
508	c_w_m = c_w_m / (nx+1)
509
510	!
511	!-- Save old timelevels for the next timestep
512	IF ( intermediate_timestep_count == 1 ) THEN
513	u_m_s(:,:,:) = u(:,0:1,:)
514	v_m_s(:,:,:) = v(:,1:2,:)
515	w_m_s(:,:,:) = w(:,0:1,:)
516	ENDIF
517
518	!
519	!-- Calculate the new velocities
520	DO k = nzb+1, nzt+1
521	DO i = nxlg, nxrg
522	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
523	( u(k,-1,i) - u(k,0,i) ) * ddy
524
525	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
526	( v(k,0,i) - v(k,1,i) ) * ddy
527
528	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
529	( w(k,-1,i) - w(k,0,i) ) * ddy
530	ENDDO
531	ENDDO
532
533	!
534	!-- Bottom boundary at the outflow
535	IF ( ibc_uv_b == 0 ) THEN
536	u_p(nzb,-1,:) = 0.0_wp
537	v_p(nzb,0,:) = 0.0_wp
538	ELSE
539	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
540	v_p(nzb,0,:) = v_p(nzb+1,0,:)
541	ENDIF
542	w_p(nzb,-1,:) = 0.0_wp
543
544	!
545	!-- Top boundary at the outflow
546	IF ( ibc_uv_t == 0 ) THEN
547	u_p(nzt+1,-1,:) = u_init(nzt+1)
548	v_p(nzt+1,0,:) = v_init(nzt+1)
549	ELSE
550	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
551	v_p(nzt+1,0,:) = v_p(nzt,0,:)
552	ENDIF
553	w_p(nzt:nzt+1,-1,:) = 0.0_wp
554
555	ENDIF
556
557	ENDIF
558
559	IF ( outflow_n ) THEN
560
561	IF ( use_cmax ) THEN
562	u_p(:,ny+1,:) = u(:,ny,:)
563	v_p(:,ny+1,:) = v(:,ny,:)
564	w_p(:,ny+1,:) = w(:,ny,:)
565	ELSEIF ( .NOT. use_cmax ) THEN
566
567	c_max = dy / dt_3d
568
569	c_u_m_l = 0.0_wp
570	c_v_m_l = 0.0_wp
571	c_w_m_l = 0.0_wp
572
573	c_u_m = 0.0_wp
574	c_v_m = 0.0_wp
575	c_w_m = 0.0_wp
576
577	!
578	!-- Calculate the phase speeds for u, v, and w, first local and then
579	!-- average along the outflow boundary.
580	DO k = nzb+1, nzt+1
581	DO i = nxl, nxr
582
583	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
584
585	IF ( denom /= 0.0_wp ) THEN
586	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
587	IF ( c_u(k,i) < 0.0_wp ) THEN
588	c_u(k,i) = 0.0_wp
589	ELSEIF ( c_u(k,i) > c_max ) THEN
590	c_u(k,i) = c_max
591	ENDIF
592	ELSE
593	c_u(k,i) = c_max
594	ENDIF
595
596	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
597
598	IF ( denom /= 0.0_wp ) THEN
599	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
600	IF ( c_v(k,i) < 0.0_wp ) THEN
601	c_v(k,i) = 0.0_wp
602	ELSEIF ( c_v(k,i) > c_max ) THEN
603	c_v(k,i) = c_max
604	ENDIF
605	ELSE
606	c_v(k,i) = c_max
607	ENDIF
608
609	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
610
611	IF ( denom /= 0.0_wp ) THEN
612	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
613	IF ( c_w(k,i) < 0.0_wp ) THEN
614	c_w(k,i) = 0.0_wp
615	ELSEIF ( c_w(k,i) > c_max ) THEN
616	c_w(k,i) = c_max
617	ENDIF
618	ELSE
619	c_w(k,i) = c_max
620	ENDIF
621
622	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
623	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
624	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
625
626	ENDDO
627	ENDDO
628
629	#if defined( __parallel )
630	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
631	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
632	MPI_SUM, comm1dx, ierr )
633	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
634	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
635	MPI_SUM, comm1dx, ierr )
636	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
637	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
638	MPI_SUM, comm1dx, ierr )
639	#else
640	c_u_m = c_u_m_l
641	c_v_m = c_v_m_l
642	c_w_m = c_w_m_l
643	#endif
644
645	c_u_m = c_u_m / (nx+1)
646	c_v_m = c_v_m / (nx+1)
647	c_w_m = c_w_m / (nx+1)
648
649	!
650	!-- Save old timelevels for the next timestep
651	IF ( intermediate_timestep_count == 1 ) THEN
652	u_m_n(:,:,:) = u(:,ny-1:ny,:)
653	v_m_n(:,:,:) = v(:,ny-1:ny,:)
654	w_m_n(:,:,:) = w(:,ny-1:ny,:)
655	ENDIF
656
657	!
658	!-- Calculate the new velocities
659	DO k = nzb+1, nzt+1
660	DO i = nxlg, nxrg
661	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
662	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
663
664	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
665	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
666
667	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
668	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
669	ENDDO
670	ENDDO
671
672	!
673	!-- Bottom boundary at the outflow
674	IF ( ibc_uv_b == 0 ) THEN
675	u_p(nzb,ny+1,:) = 0.0_wp
676	v_p(nzb,ny+1,:) = 0.0_wp
677	ELSE
678	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
679	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
680	ENDIF
681	w_p(nzb,ny+1,:) = 0.0_wp
682
683	!
684	!-- Top boundary at the outflow
685	IF ( ibc_uv_t == 0 ) THEN
686	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
687	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
688	ELSE
689	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
690	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
691	ENDIF
692	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
693
694	ENDIF
695
696	ENDIF
697
698	IF ( outflow_l ) THEN
699
700	IF ( use_cmax ) THEN
701	u_p(:,:,0) = u(:,:,1)
702	v_p(:,:,-1) = v(:,:,0)
703	w_p(:,:,-1) = w(:,:,0)
704	ELSEIF ( .NOT. use_cmax ) THEN
705
706	c_max = dx / dt_3d
707
708	c_u_m_l = 0.0_wp
709	c_v_m_l = 0.0_wp
710	c_w_m_l = 0.0_wp
711
712	c_u_m = 0.0_wp
713	c_v_m = 0.0_wp
714	c_w_m = 0.0_wp
715
716	!
717	!-- Calculate the phase speeds for u, v, and w, first local and then
718	!-- average along the outflow boundary.
719	DO k = nzb+1, nzt+1
720	DO j = nys, nyn
721
722	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
723
724	IF ( denom /= 0.0_wp ) THEN
725	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
726	IF ( c_u(k,j) < 0.0_wp ) THEN
727	c_u(k,j) = 0.0_wp
728	ELSEIF ( c_u(k,j) > c_max ) THEN
729	c_u(k,j) = c_max
730	ENDIF
731	ELSE
732	c_u(k,j) = c_max
733	ENDIF
734
735	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
736
737	IF ( denom /= 0.0_wp ) THEN
738	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
739	IF ( c_v(k,j) < 0.0_wp ) THEN
740	c_v(k,j) = 0.0_wp
741	ELSEIF ( c_v(k,j) > c_max ) THEN
742	c_v(k,j) = c_max
743	ENDIF
744	ELSE
745	c_v(k,j) = c_max
746	ENDIF
747
748	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
749
750	IF ( denom /= 0.0_wp ) THEN
751	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
752	IF ( c_w(k,j) < 0.0_wp ) THEN
753	c_w(k,j) = 0.0_wp
754	ELSEIF ( c_w(k,j) > c_max ) THEN
755	c_w(k,j) = c_max
756	ENDIF
757	ELSE
758	c_w(k,j) = c_max
759	ENDIF
760
761	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
762	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
763	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
764
765	ENDDO
766	ENDDO
767
768	#if defined( __parallel )
769	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
770	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
771	MPI_SUM, comm1dy, ierr )
772	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
773	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
774	MPI_SUM, comm1dy, ierr )
775	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
776	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
777	MPI_SUM, comm1dy, ierr )
778	#else
779	c_u_m = c_u_m_l
780	c_v_m = c_v_m_l
781	c_w_m = c_w_m_l
782	#endif
783
784	c_u_m = c_u_m / (ny+1)
785	c_v_m = c_v_m / (ny+1)
786	c_w_m = c_w_m / (ny+1)
787
788	!
789	!-- Save old timelevels for the next timestep
790	IF ( intermediate_timestep_count == 1 ) THEN
791	u_m_l(:,:,:) = u(:,:,1:2)
792	v_m_l(:,:,:) = v(:,:,0:1)
793	w_m_l(:,:,:) = w(:,:,0:1)
794	ENDIF
795
796	!
797	!-- Calculate the new velocities
798	DO k = nzb+1, nzt+1
799	DO j = nysg, nyng
800	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
801	( u(k,j,0) - u(k,j,1) ) * ddx
802
803	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
804	( v(k,j,-1) - v(k,j,0) ) * ddx
805
806	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
807	( w(k,j,-1) - w(k,j,0) ) * ddx
808	ENDDO
809	ENDDO
810
811	!
812	!-- Bottom boundary at the outflow
813	IF ( ibc_uv_b == 0 ) THEN
814	u_p(nzb,:,0) = 0.0_wp
815	v_p(nzb,:,-1) = 0.0_wp
816	ELSE
817	u_p(nzb,:,0) = u_p(nzb+1,:,0)
818	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
819	ENDIF
820	w_p(nzb,:,-1) = 0.0_wp
821
822	!
823	!-- Top boundary at the outflow
824	IF ( ibc_uv_t == 0 ) THEN
825	u_p(nzt+1,:,0) = u_init(nzt+1)
826	v_p(nzt+1,:,-1) = v_init(nzt+1)
827	ELSE
828	u_p(nzt+1,:,0) = u_p(nzt,:,0)
829	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
830	ENDIF
831	w_p(nzt:nzt+1,:,-1) = 0.0_wp
832
833	ENDIF
834
835	ENDIF
836
837	IF ( outflow_r ) THEN
838
839	IF ( use_cmax ) THEN
840	u_p(:,:,nx+1) = u(:,:,nx)
841	v_p(:,:,nx+1) = v(:,:,nx)
842	w_p(:,:,nx+1) = w(:,:,nx)
843	ELSEIF ( .NOT. use_cmax ) THEN
844
845	c_max = dx / dt_3d
846
847	c_u_m_l = 0.0_wp
848	c_v_m_l = 0.0_wp
849	c_w_m_l = 0.0_wp
850
851	c_u_m = 0.0_wp
852	c_v_m = 0.0_wp
853	c_w_m = 0.0_wp
854
855	!
856	!-- Calculate the phase speeds for u, v, and w, first local and then
857	!-- average along the outflow boundary.
858	DO k = nzb+1, nzt+1
859	DO j = nys, nyn
860
861	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
862
863	IF ( denom /= 0.0_wp ) THEN
864	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
865	IF ( c_u(k,j) < 0.0_wp ) THEN
866	c_u(k,j) = 0.0_wp
867	ELSEIF ( c_u(k,j) > c_max ) THEN
868	c_u(k,j) = c_max
869	ENDIF
870	ELSE
871	c_u(k,j) = c_max
872	ENDIF
873
874	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
875
876	IF ( denom /= 0.0_wp ) THEN
877	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
878	IF ( c_v(k,j) < 0.0_wp ) THEN
879	c_v(k,j) = 0.0_wp
880	ELSEIF ( c_v(k,j) > c_max ) THEN
881	c_v(k,j) = c_max
882	ENDIF
883	ELSE
884	c_v(k,j) = c_max
885	ENDIF
886
887	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
888
889	IF ( denom /= 0.0_wp ) THEN
890	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
891	IF ( c_w(k,j) < 0.0_wp ) THEN
892	c_w(k,j) = 0.0_wp
893	ELSEIF ( c_w(k,j) > c_max ) THEN
894	c_w(k,j) = c_max
895	ENDIF
896	ELSE
897	c_w(k,j) = c_max
898	ENDIF
899
900	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
901	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
902	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
903
904	ENDDO
905	ENDDO
906
907	#if defined( __parallel )
908	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
909	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
910	MPI_SUM, comm1dy, ierr )
911	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
912	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
913	MPI_SUM, comm1dy, ierr )
914	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
915	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
916	MPI_SUM, comm1dy, ierr )
917	#else
918	c_u_m = c_u_m_l
919	c_v_m = c_v_m_l
920	c_w_m = c_w_m_l
921	#endif
922
923	c_u_m = c_u_m / (ny+1)
924	c_v_m = c_v_m / (ny+1)
925	c_w_m = c_w_m / (ny+1)
926
927	!
928	!-- Save old timelevels for the next timestep
929	IF ( intermediate_timestep_count == 1 ) THEN
930	u_m_r(:,:,:) = u(:,:,nx-1:nx)
931	v_m_r(:,:,:) = v(:,:,nx-1:nx)
932	w_m_r(:,:,:) = w(:,:,nx-1:nx)
933	ENDIF
934
935	!
936	!-- Calculate the new velocities
937	DO k = nzb+1, nzt+1
938	DO j = nysg, nyng
939	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
940	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
941
942	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
943	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
944
945	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
946	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
947	ENDDO
948	ENDDO
949
950	!
951	!-- Bottom boundary at the outflow
952	IF ( ibc_uv_b == 0 ) THEN
953	u_p(nzb,:,nx+1) = 0.0_wp
954	v_p(nzb,:,nx+1) = 0.0_wp
955	ELSE
956	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
957	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
958	ENDIF
959	w_p(nzb,:,nx+1) = 0.0_wp
960
961	!
962	!-- Top boundary at the outflow
963	IF ( ibc_uv_t == 0 ) THEN
964	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
965	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
966	ELSE
967	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
968	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
969	ENDIF
970	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
971
972	ENDIF
973
974	ENDIF
975
976	END SUBROUTINE boundary_conds

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