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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1462

Last change on this file since 1462 was 1462, checked in by suehring, 10 years ago
Bugfix: set dirichlet boundary condition for passive_scalar at model domain top
Property svn:keywords set to `Id`
File size: 31.2 KB

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1	SUBROUTINE boundary_conds
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2014 Leibniz Universitaet Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain top
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 1462 2014-09-04 12:03:25Z suehring $
27	!
28	! 1399 2014-05-07 11:16:25Z heinze
29	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
30	! is used.
31	!
32	! 1398 2014-05-07 11:15:00Z heinze
33	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
34	! for large_scale_forcing
35	!
36	! 1380 2014-04-28 12:40:45Z heinze
37	! Adjust Dirichlet-condition at the top for pt in case of nudging
38	!
39	! 1361 2014-04-16 15:17:48Z hoffmann
40	! Bottom and top boundary conditions of rain water content (qr) and
41	! rain drop concentration (nr) changed to Dirichlet
42	!
43	! 1353 2014-04-08 15:21:23Z heinze
44	! REAL constants provided with KIND-attribute
45	!
46	! 1320 2014-03-20 08:40:49Z raasch
47	! ONLY-attribute added to USE-statements,
48	! kind-parameters added to all INTEGER and REAL declaration statements,
49	! kinds are defined in new module kinds,
50	! revision history before 2012 removed,
51	! comment fields (!:) to be used for variable explanations added to
52	! all variable declaration statements
53	!
54	! 1257 2013-11-08 15:18:40Z raasch
55	! loop independent clauses added
56	!
57	! 1241 2013-10-30 11:36:58Z heinze
58	! Adjust ug and vg at each timestep in case of large_scale_forcing
59	!
60	! 1159 2013-05-21 11:58:22Z fricke
61	! Bugfix: Neumann boundary conditions for the velocity components at the
62	! outflow are in fact radiation boundary conditions using the maximum phase
63	! velocity that ensures numerical stability (CFL-condition).
64	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
65	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
66	! u_p, v_p, w_p
67	!
68	! 1115 2013-03-26 18:16:16Z hoffmann
69	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
70	! boundary-conditions
71	!
72	! 1113 2013-03-10 02:48:14Z raasch
73	! GPU-porting
74	! dummy argument "range" removed
75	! Bugfix: wrong index in loops of radiation boundary condition
76	!
77	! 1053 2012-11-13 17:11:03Z hoffmann
78	! boundary conditions for the two new prognostic equations (nr, qr) of the
79	! two-moment cloud scheme
80	!
81	! 1036 2012-10-22 13:43:42Z raasch
82	! code put under GPL (PALM 3.9)
83	!
84	! 996 2012-09-07 10:41:47Z raasch
85	! little reformatting
86	!
87	! 978 2012-08-09 08:28:32Z fricke
88	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
89	! Outflow boundary conditions for the velocity components can be set to Neumann
90	! conditions or to radiation conditions with a horizontal averaged phase
91	! velocity.
92	!
93	! 875 2012-04-02 15:35:15Z gryschka
94	! Bugfix in case of dirichlet inflow bc at the right or north boundary
95	!
96	! Revision 1.1 1997/09/12 06:21:34 raasch
97	! Initial revision
98	!
99	!
100	! Description:
101	! ------------
102	! Boundary conditions for the prognostic quantities.
103	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
104	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
105	! handled in routine exchange_horiz. Pressure boundary conditions are
106	! explicitly set in routines pres, poisfft, poismg and sor.
107	!------------------------------------------------------------------------------!
108
109	USE arrays_3d, &
110	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, &
111	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
112	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
113	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
114	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
115	pt_init
116
117	USE control_parameters, &
118	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
119	cloud_physics, dt_3d, humidity, &
120	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
121	ibc_uv_t, icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s,&
122	intermediate_timestep_count, large_scale_forcing, ocean, &
123	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
124	precipitation, tsc, use_cmax, &
125	nudging
126
127	USE grid_variables, &
128	ONLY: ddx, ddy, dx, dy
129
130	USE indices, &
131	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
132	nzb, nzb_s_inner, nzb_w_inner, nzt
133
134	USE kinds
135
136	USE pegrid
137
138
139	IMPLICIT NONE
140
141	INTEGER(iwp) :: i !:
142	INTEGER(iwp) :: j !:
143	INTEGER(iwp) :: k !:
144
145	REAL(wp) :: c_max !:
146	REAL(wp) :: denom !:
147
148
149	!
150	!-- Bottom boundary
151	IF ( ibc_uv_b == 1 ) THEN
152	!$acc kernels present( u_p, v_p )
153	u_p(nzb,:,:) = u_p(nzb+1,:,:)
154	v_p(nzb,:,:) = v_p(nzb+1,:,:)
155	!$acc end kernels
156	ENDIF
157
158	!$acc kernels present( nzb_w_inner, w_p )
159	DO i = nxlg, nxrg
160	DO j = nysg, nyng
161	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
162	ENDDO
163	ENDDO
164	!$acc end kernels
165
166	!
167	!-- Top boundary
168	IF ( ibc_uv_t == 0 ) THEN
169	!$acc kernels present( u_init, u_p, v_init, v_p )
170	u_p(nzt+1,:,:) = u_init(nzt+1)
171	v_p(nzt+1,:,:) = v_init(nzt+1)
172	!$acc end kernels
173	ELSE
174	!$acc kernels present( u_p, v_p )
175	u_p(nzt+1,:,:) = u_p(nzt,:,:)
176	v_p(nzt+1,:,:) = v_p(nzt,:,:)
177	!$acc end kernels
178	ENDIF
179	!$acc kernels present( w_p )
180	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
181	!$acc end kernels
182
183	!
184	!-- Temperature at bottom boundary.
185	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
186	!-- the sea surface temperature of the coupled ocean model.
187	IF ( ibc_pt_b == 0 ) THEN
188	!$acc kernels present( nzb_s_inner, pt, pt_p )
189	!$acc loop independent
190	DO i = nxlg, nxrg
191	!$acc loop independent
192	DO j = nysg, nyng
193	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
194	ENDDO
195	ENDDO
196	!$acc end kernels
197	ELSEIF ( ibc_pt_b == 1 ) THEN
198	!$acc kernels present( nzb_s_inner, pt_p )
199	!$acc loop independent
200	DO i = nxlg, nxrg
201	!$acc loop independent
202	DO j = nysg, nyng
203	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
204	ENDDO
205	ENDDO
206	!$acc end kernels
207	ENDIF
208
209	!
210	!-- Temperature at top boundary
211	IF ( ibc_pt_t == 0 ) THEN
212	!$acc kernels present( pt, pt_p )
213	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
214	!
215	!-- In case of nudging adjust top boundary to pt which is
216	!-- read in from NUDGING-DATA
217	IF ( nudging ) THEN
218	pt_p(nzt+1,:,:) = pt_init(nzt+1)
219	ENDIF
220	!$acc end kernels
221	ELSEIF ( ibc_pt_t == 1 ) THEN
222	!$acc kernels present( pt_p )
223	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
224	!$acc end kernels
225	ELSEIF ( ibc_pt_t == 2 ) THEN
226	!$acc kernels present( dzu, pt_p )
227	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
228	!$acc end kernels
229	ENDIF
230
231	!
232	!-- Boundary conditions for TKE
233	!-- Generally Neumann conditions with de/dz=0 are assumed
234	IF ( .NOT. constant_diffusion ) THEN
235	!$acc kernels present( e_p, nzb_s_inner )
236	!$acc loop independent
237	DO i = nxlg, nxrg
238	!$acc loop independent
239	DO j = nysg, nyng
240	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
241	ENDDO
242	ENDDO
243	e_p(nzt+1,:,:) = e_p(nzt,:,:)
244	!$acc end kernels
245	ENDIF
246
247	!
248	!-- Boundary conditions for salinity
249	IF ( ocean ) THEN
250	!
251	!-- Bottom boundary: Neumann condition because salinity flux is always
252	!-- given
253	DO i = nxlg, nxrg
254	DO j = nysg, nyng
255	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
256	ENDDO
257	ENDDO
258
259	!
260	!-- Top boundary: Dirichlet or Neumann
261	IF ( ibc_sa_t == 0 ) THEN
262	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
263	ELSEIF ( ibc_sa_t == 1 ) THEN
264	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
265	ENDIF
266
267	ENDIF
268
269	!
270	!-- Boundary conditions for total water content or scalar,
271	!-- bottom and top boundary (see also temperature)
272	IF ( humidity .OR. passive_scalar ) THEN
273	!
274	!-- Surface conditions for constant_humidity_flux
275	IF ( ibc_q_b == 0 ) THEN
276	DO i = nxlg, nxrg
277	DO j = nysg, nyng
278	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
279	ENDDO
280	ENDDO
281	ELSE
282	DO i = nxlg, nxrg
283	DO j = nysg, nyng
284	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
285	ENDDO
286	ENDDO
287	ENDIF
288	!
289	!-- Top boundary
290	IF ( ibc_q_t == 0 ) THEN
291	q_p(nzt+1,:,:) = q(nzt+1,:,:)
292	ELSEIF ( ibc_q_t == 1 ) THEN
293	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
294	ENDIF
295
296	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
297	!
298	!-- Surface conditions rain water (Dirichlet)
299	DO i = nxlg, nxrg
300	DO j = nysg, nyng
301	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
302	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
303	ENDDO
304	ENDDO
305	!
306	!-- Top boundary condition for rain water (Dirichlet)
307	qr_p(nzt+1,:,:) = 0.0_wp
308	nr_p(nzt+1,:,:) = 0.0_wp
309
310	ENDIF
311	ENDIF
312	!
313	!-- In case of inflow at the south boundary the boundary for v is at nys
314	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
315	!-- Since in prognostic_equations (cache optimized version) these levels are
316	!-- handled as a prognostic level, boundary values have to be restored here.
317	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
318	IF ( inflow_s ) THEN
319	v_p(:,nys,:) = v_p(:,nys-1,:)
320	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
321	ELSEIF ( inflow_n ) THEN
322	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
323	ELSEIF ( inflow_l ) THEN
324	u_p(:,:,nxl) = u_p(:,:,nxl-1)
325	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
326	ELSEIF ( inflow_r ) THEN
327	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
328	ENDIF
329
330	!
331	!-- Lateral boundary conditions for scalar quantities at the outflow
332	IF ( outflow_s ) THEN
333	pt_p(:,nys-1,:) = pt_p(:,nys,:)
334	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
335	IF ( humidity .OR. passive_scalar ) THEN
336	q_p(:,nys-1,:) = q_p(:,nys,:)
337	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
338	precipitation) THEN
339	qr_p(:,nys-1,:) = qr_p(:,nys,:)
340	nr_p(:,nys-1,:) = nr_p(:,nys,:)
341	ENDIF
342	ENDIF
343	ELSEIF ( outflow_n ) THEN
344	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
345	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
346	IF ( humidity .OR. passive_scalar ) THEN
347	q_p(:,nyn+1,:) = q_p(:,nyn,:)
348	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
349	precipitation ) THEN
350	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
351	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
352	ENDIF
353	ENDIF
354	ELSEIF ( outflow_l ) THEN
355	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
356	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
357	IF ( humidity .OR. passive_scalar ) THEN
358	q_p(:,:,nxl-1) = q_p(:,:,nxl)
359	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
360	precipitation ) THEN
361	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
362	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
363	ENDIF
364	ENDIF
365	ELSEIF ( outflow_r ) THEN
366	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
367	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
368	IF ( humidity .OR. passive_scalar ) THEN
369	q_p(:,:,nxr+1) = q_p(:,:,nxr)
370	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
371	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
372	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
373	ENDIF
374	ENDIF
375	ENDIF
376
377	!
378	!-- Radiation boundary conditions for the velocities at the respective outflow.
379	!-- The phase velocity is either assumed to the maximum phase velocity that
380	!-- ensures numerical stability (CFL-condition) or calculated after
381	!-- Orlanski(1976) and averaged along the outflow boundary.
382	IF ( outflow_s ) THEN
383
384	IF ( use_cmax ) THEN
385	u_p(:,-1,:) = u(:,0,:)
386	v_p(:,0,:) = v(:,1,:)
387	w_p(:,-1,:) = w(:,0,:)
388	ELSEIF ( .NOT. use_cmax ) THEN
389
390	c_max = dy / dt_3d
391
392	c_u_m_l = 0.0_wp
393	c_v_m_l = 0.0_wp
394	c_w_m_l = 0.0_wp
395
396	c_u_m = 0.0_wp
397	c_v_m = 0.0_wp
398	c_w_m = 0.0_wp
399
400	!
401	!-- Calculate the phase speeds for u, v, and w, first local and then
402	!-- average along the outflow boundary.
403	DO k = nzb+1, nzt+1
404	DO i = nxl, nxr
405
406	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
407
408	IF ( denom /= 0.0_wp ) THEN
409	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
410	IF ( c_u(k,i) < 0.0_wp ) THEN
411	c_u(k,i) = 0.0_wp
412	ELSEIF ( c_u(k,i) > c_max ) THEN
413	c_u(k,i) = c_max
414	ENDIF
415	ELSE
416	c_u(k,i) = c_max
417	ENDIF
418
419	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
420
421	IF ( denom /= 0.0_wp ) THEN
422	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
423	IF ( c_v(k,i) < 0.0_wp ) THEN
424	c_v(k,i) = 0.0_wp
425	ELSEIF ( c_v(k,i) > c_max ) THEN
426	c_v(k,i) = c_max
427	ENDIF
428	ELSE
429	c_v(k,i) = c_max
430	ENDIF
431
432	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
433
434	IF ( denom /= 0.0_wp ) THEN
435	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
436	IF ( c_w(k,i) < 0.0_wp ) THEN
437	c_w(k,i) = 0.0_wp
438	ELSEIF ( c_w(k,i) > c_max ) THEN
439	c_w(k,i) = c_max
440	ENDIF
441	ELSE
442	c_w(k,i) = c_max
443	ENDIF
444
445	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
446	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
447	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
448
449	ENDDO
450	ENDDO
451
452	#if defined( __parallel )
453	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
454	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
455	MPI_SUM, comm1dx, ierr )
456	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
457	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
458	MPI_SUM, comm1dx, ierr )
459	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
460	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
461	MPI_SUM, comm1dx, ierr )
462	#else
463	c_u_m = c_u_m_l
464	c_v_m = c_v_m_l
465	c_w_m = c_w_m_l
466	#endif
467
468	c_u_m = c_u_m / (nx+1)
469	c_v_m = c_v_m / (nx+1)
470	c_w_m = c_w_m / (nx+1)
471
472	!
473	!-- Save old timelevels for the next timestep
474	IF ( intermediate_timestep_count == 1 ) THEN
475	u_m_s(:,:,:) = u(:,0:1,:)
476	v_m_s(:,:,:) = v(:,1:2,:)
477	w_m_s(:,:,:) = w(:,0:1,:)
478	ENDIF
479
480	!
481	!-- Calculate the new velocities
482	DO k = nzb+1, nzt+1
483	DO i = nxlg, nxrg
484	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
485	( u(k,-1,i) - u(k,0,i) ) * ddy
486
487	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
488	( v(k,0,i) - v(k,1,i) ) * ddy
489
490	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
491	( w(k,-1,i) - w(k,0,i) ) * ddy
492	ENDDO
493	ENDDO
494
495	!
496	!-- Bottom boundary at the outflow
497	IF ( ibc_uv_b == 0 ) THEN
498	u_p(nzb,-1,:) = 0.0_wp
499	v_p(nzb,0,:) = 0.0_wp
500	ELSE
501	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
502	v_p(nzb,0,:) = v_p(nzb+1,0,:)
503	ENDIF
504	w_p(nzb,-1,:) = 0.0_wp
505
506	!
507	!-- Top boundary at the outflow
508	IF ( ibc_uv_t == 0 ) THEN
509	u_p(nzt+1,-1,:) = u_init(nzt+1)
510	v_p(nzt+1,0,:) = v_init(nzt+1)
511	ELSE
512	u_p(nzt+1,-1,:) = u(nzt,-1,:)
513	v_p(nzt+1,0,:) = v(nzt,0,:)
514	ENDIF
515	w_p(nzt:nzt+1,-1,:) = 0.0_wp
516
517	ENDIF
518
519	ENDIF
520
521	IF ( outflow_n ) THEN
522
523	IF ( use_cmax ) THEN
524	u_p(:,ny+1,:) = u(:,ny,:)
525	v_p(:,ny+1,:) = v(:,ny,:)
526	w_p(:,ny+1,:) = w(:,ny,:)
527	ELSEIF ( .NOT. use_cmax ) THEN
528
529	c_max = dy / dt_3d
530
531	c_u_m_l = 0.0_wp
532	c_v_m_l = 0.0_wp
533	c_w_m_l = 0.0_wp
534
535	c_u_m = 0.0_wp
536	c_v_m = 0.0_wp
537	c_w_m = 0.0_wp
538
539	!
540	!-- Calculate the phase speeds for u, v, and w, first local and then
541	!-- average along the outflow boundary.
542	DO k = nzb+1, nzt+1
543	DO i = nxl, nxr
544
545	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
546
547	IF ( denom /= 0.0_wp ) THEN
548	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
549	IF ( c_u(k,i) < 0.0_wp ) THEN
550	c_u(k,i) = 0.0_wp
551	ELSEIF ( c_u(k,i) > c_max ) THEN
552	c_u(k,i) = c_max
553	ENDIF
554	ELSE
555	c_u(k,i) = c_max
556	ENDIF
557
558	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
559
560	IF ( denom /= 0.0_wp ) THEN
561	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
562	IF ( c_v(k,i) < 0.0_wp ) THEN
563	c_v(k,i) = 0.0_wp
564	ELSEIF ( c_v(k,i) > c_max ) THEN
565	c_v(k,i) = c_max
566	ENDIF
567	ELSE
568	c_v(k,i) = c_max
569	ENDIF
570
571	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
572
573	IF ( denom /= 0.0_wp ) THEN
574	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
575	IF ( c_w(k,i) < 0.0_wp ) THEN
576	c_w(k,i) = 0.0_wp
577	ELSEIF ( c_w(k,i) > c_max ) THEN
578	c_w(k,i) = c_max
579	ENDIF
580	ELSE
581	c_w(k,i) = c_max
582	ENDIF
583
584	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
585	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
586	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
587
588	ENDDO
589	ENDDO
590
591	#if defined( __parallel )
592	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
593	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
594	MPI_SUM, comm1dx, ierr )
595	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
596	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
597	MPI_SUM, comm1dx, ierr )
598	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
599	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
600	MPI_SUM, comm1dx, ierr )
601	#else
602	c_u_m = c_u_m_l
603	c_v_m = c_v_m_l
604	c_w_m = c_w_m_l
605	#endif
606
607	c_u_m = c_u_m / (nx+1)
608	c_v_m = c_v_m / (nx+1)
609	c_w_m = c_w_m / (nx+1)
610
611	!
612	!-- Save old timelevels for the next timestep
613	IF ( intermediate_timestep_count == 1 ) THEN
614	u_m_n(:,:,:) = u(:,ny-1:ny,:)
615	v_m_n(:,:,:) = v(:,ny-1:ny,:)
616	w_m_n(:,:,:) = w(:,ny-1:ny,:)
617	ENDIF
618
619	!
620	!-- Calculate the new velocities
621	DO k = nzb+1, nzt+1
622	DO i = nxlg, nxrg
623	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
624	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
625
626	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
627	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
628
629	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
630	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
631	ENDDO
632	ENDDO
633
634	!
635	!-- Bottom boundary at the outflow
636	IF ( ibc_uv_b == 0 ) THEN
637	u_p(nzb,ny+1,:) = 0.0_wp
638	v_p(nzb,ny+1,:) = 0.0_wp
639	ELSE
640	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
641	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
642	ENDIF
643	w_p(nzb,ny+1,:) = 0.0_wp
644
645	!
646	!-- Top boundary at the outflow
647	IF ( ibc_uv_t == 0 ) THEN
648	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
649	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
650	ELSE
651	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
652	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
653	ENDIF
654	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
655
656	ENDIF
657
658	ENDIF
659
660	IF ( outflow_l ) THEN
661
662	IF ( use_cmax ) THEN
663	u_p(:,:,-1) = u(:,:,0)
664	v_p(:,:,0) = v(:,:,1)
665	w_p(:,:,-1) = w(:,:,0)
666	ELSEIF ( .NOT. use_cmax ) THEN
667
668	c_max = dx / dt_3d
669
670	c_u_m_l = 0.0_wp
671	c_v_m_l = 0.0_wp
672	c_w_m_l = 0.0_wp
673
674	c_u_m = 0.0_wp
675	c_v_m = 0.0_wp
676	c_w_m = 0.0_wp
677
678	!
679	!-- Calculate the phase speeds for u, v, and w, first local and then
680	!-- average along the outflow boundary.
681	DO k = nzb+1, nzt+1
682	DO j = nys, nyn
683
684	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
685
686	IF ( denom /= 0.0_wp ) THEN
687	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
688	IF ( c_u(k,j) < 0.0_wp ) THEN
689	c_u(k,j) = 0.0_wp
690	ELSEIF ( c_u(k,j) > c_max ) THEN
691	c_u(k,j) = c_max
692	ENDIF
693	ELSE
694	c_u(k,j) = c_max
695	ENDIF
696
697	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
698
699	IF ( denom /= 0.0_wp ) THEN
700	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
701	IF ( c_v(k,j) < 0.0_wp ) THEN
702	c_v(k,j) = 0.0_wp
703	ELSEIF ( c_v(k,j) > c_max ) THEN
704	c_v(k,j) = c_max
705	ENDIF
706	ELSE
707	c_v(k,j) = c_max
708	ENDIF
709
710	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
711
712	IF ( denom /= 0.0_wp ) THEN
713	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
714	IF ( c_w(k,j) < 0.0_wp ) THEN
715	c_w(k,j) = 0.0_wp
716	ELSEIF ( c_w(k,j) > c_max ) THEN
717	c_w(k,j) = c_max
718	ENDIF
719	ELSE
720	c_w(k,j) = c_max
721	ENDIF
722
723	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
724	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
725	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
726
727	ENDDO
728	ENDDO
729
730	#if defined( __parallel )
731	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
732	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
733	MPI_SUM, comm1dy, ierr )
734	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
735	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
736	MPI_SUM, comm1dy, ierr )
737	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
738	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
739	MPI_SUM, comm1dy, ierr )
740	#else
741	c_u_m = c_u_m_l
742	c_v_m = c_v_m_l
743	c_w_m = c_w_m_l
744	#endif
745
746	c_u_m = c_u_m / (ny+1)
747	c_v_m = c_v_m / (ny+1)
748	c_w_m = c_w_m / (ny+1)
749
750	!
751	!-- Save old timelevels for the next timestep
752	IF ( intermediate_timestep_count == 1 ) THEN
753	u_m_l(:,:,:) = u(:,:,1:2)
754	v_m_l(:,:,:) = v(:,:,0:1)
755	w_m_l(:,:,:) = w(:,:,0:1)
756	ENDIF
757
758	!
759	!-- Calculate the new velocities
760	DO k = nzb+1, nzt+1
761	DO j = nysg, nyng
762	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
763	( u(k,j,0) - u(k,j,1) ) * ddx
764
765	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
766	( v(k,j,-1) - v(k,j,0) ) * ddx
767
768	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
769	( w(k,j,-1) - w(k,j,0) ) * ddx
770	ENDDO
771	ENDDO
772
773	!
774	!-- Bottom boundary at the outflow
775	IF ( ibc_uv_b == 0 ) THEN
776	u_p(nzb,:,0) = 0.0_wp
777	v_p(nzb,:,-1) = 0.0_wp
778	ELSE
779	u_p(nzb,:,0) = u_p(nzb+1,:,0)
780	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
781	ENDIF
782	w_p(nzb,:,-1) = 0.0_wp
783
784	!
785	!-- Top boundary at the outflow
786	IF ( ibc_uv_t == 0 ) THEN
787	u_p(nzt+1,:,-1) = u_init(nzt+1)
788	v_p(nzt+1,:,-1) = v_init(nzt+1)
789	ELSE
790	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
791	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
792	ENDIF
793	w_p(nzt:nzt+1,:,-1) = 0.0_wp
794
795	ENDIF
796
797	ENDIF
798
799	IF ( outflow_r ) THEN
800
801	IF ( use_cmax ) THEN
802	u_p(:,:,nx+1) = u(:,:,nx)
803	v_p(:,:,nx+1) = v(:,:,nx)
804	w_p(:,:,nx+1) = w(:,:,nx)
805	ELSEIF ( .NOT. use_cmax ) THEN
806
807	c_max = dx / dt_3d
808
809	c_u_m_l = 0.0_wp
810	c_v_m_l = 0.0_wp
811	c_w_m_l = 0.0_wp
812
813	c_u_m = 0.0_wp
814	c_v_m = 0.0_wp
815	c_w_m = 0.0_wp
816
817	!
818	!-- Calculate the phase speeds for u, v, and w, first local and then
819	!-- average along the outflow boundary.
820	DO k = nzb+1, nzt+1
821	DO j = nys, nyn
822
823	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
824
825	IF ( denom /= 0.0_wp ) THEN
826	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
827	IF ( c_u(k,j) < 0.0_wp ) THEN
828	c_u(k,j) = 0.0_wp
829	ELSEIF ( c_u(k,j) > c_max ) THEN
830	c_u(k,j) = c_max
831	ENDIF
832	ELSE
833	c_u(k,j) = c_max
834	ENDIF
835
836	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
837
838	IF ( denom /= 0.0_wp ) THEN
839	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
840	IF ( c_v(k,j) < 0.0_wp ) THEN
841	c_v(k,j) = 0.0_wp
842	ELSEIF ( c_v(k,j) > c_max ) THEN
843	c_v(k,j) = c_max
844	ENDIF
845	ELSE
846	c_v(k,j) = c_max
847	ENDIF
848
849	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
850
851	IF ( denom /= 0.0_wp ) THEN
852	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
853	IF ( c_w(k,j) < 0.0_wp ) THEN
854	c_w(k,j) = 0.0_wp
855	ELSEIF ( c_w(k,j) > c_max ) THEN
856	c_w(k,j) = c_max
857	ENDIF
858	ELSE
859	c_w(k,j) = c_max
860	ENDIF
861
862	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
863	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
864	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
865
866	ENDDO
867	ENDDO
868
869	#if defined( __parallel )
870	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
871	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
872	MPI_SUM, comm1dy, ierr )
873	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
874	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
875	MPI_SUM, comm1dy, ierr )
876	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
877	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
878	MPI_SUM, comm1dy, ierr )
879	#else
880	c_u_m = c_u_m_l
881	c_v_m = c_v_m_l
882	c_w_m = c_w_m_l
883	#endif
884
885	c_u_m = c_u_m / (ny+1)
886	c_v_m = c_v_m / (ny+1)
887	c_w_m = c_w_m / (ny+1)
888
889	!
890	!-- Save old timelevels for the next timestep
891	IF ( intermediate_timestep_count == 1 ) THEN
892	u_m_r(:,:,:) = u(:,:,nx-1:nx)
893	v_m_r(:,:,:) = v(:,:,nx-1:nx)
894	w_m_r(:,:,:) = w(:,:,nx-1:nx)
895	ENDIF
896
897	!
898	!-- Calculate the new velocities
899	DO k = nzb+1, nzt+1
900	DO j = nysg, nyng
901	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
902	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
903
904	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
905	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
906
907	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
908	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
909	ENDDO
910	ENDDO
911
912	!
913	!-- Bottom boundary at the outflow
914	IF ( ibc_uv_b == 0 ) THEN
915	u_p(nzb,:,nx+1) = 0.0_wp
916	v_p(nzb,:,nx+1) = 0.0_wp
917	ELSE
918	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
919	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
920	ENDIF
921	w_p(nzb,:,nx+1) = 0.0_wp
922
923	!
924	!-- Top boundary at the outflow
925	IF ( ibc_uv_t == 0 ) THEN
926	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
927	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
928	ELSE
929	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
930	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
931	ENDIF
932	w(nzt:nzt+1,:,nx+1) = 0.0_wp
933
934	ENDIF
935
936	ENDIF
937
938	END SUBROUTINE boundary_conds

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