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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1762

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

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