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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1409

Last change on this file since 1409 was 1409, checked in by suehring, 10 years ago
Bugfix: set inflow boundary conditions also if no humidity or passive_scalar is used
Property svn:keywords set to `Id`
File size: 31.0 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 inflow boundary conditions also if no humidity or passive_scalar
23	! is used.
24	!
25	! Former revisions:
26	! -----------------
27	! $Id: boundary_conds.f90 1409 2014-05-23 12:11:32Z suehring $
28	!
29	! 1398 2014-05-07 11:15:00Z heinze
30	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
31	! for large_scale_forcing
32	!
33	! 1380 2014-04-28 12:40:45Z heinze
34	! Adjust Dirichlet-condition at the top for pt in case of nudging
35	!
36	! 1361 2014-04-16 15:17:48Z hoffmann
37	! Bottom and top boundary conditions of rain water content (qr) and
38	! rain drop concentration (nr) changed to Dirichlet
39	!
40	! 1353 2014-04-08 15:21:23Z heinze
41	! REAL constants provided with KIND-attribute
42	!
43	! 1320 2014-03-20 08:40:49Z raasch
44	! ONLY-attribute added to USE-statements,
45	! kind-parameters added to all INTEGER and REAL declaration statements,
46	! kinds are defined in new module kinds,
47	! revision history before 2012 removed,
48	! comment fields (!:) to be used for variable explanations added to
49	! all variable declaration statements
50	!
51	! 1257 2013-11-08 15:18:40Z raasch
52	! loop independent clauses added
53	!
54	! 1241 2013-10-30 11:36:58Z heinze
55	! Adjust ug and vg at each timestep in case of large_scale_forcing
56	!
57	! 1159 2013-05-21 11:58:22Z fricke
58	! Bugfix: Neumann boundary conditions for the velocity components at the
59	! outflow are in fact radiation boundary conditions using the maximum phase
60	! velocity that ensures numerical stability (CFL-condition).
61	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
62	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
63	! u_p, v_p, w_p
64	!
65	! 1115 2013-03-26 18:16:16Z hoffmann
66	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
67	! boundary-conditions
68	!
69	! 1113 2013-03-10 02:48:14Z raasch
70	! GPU-porting
71	! dummy argument "range" removed
72	! Bugfix: wrong index in loops of radiation boundary condition
73	!
74	! 1053 2012-11-13 17:11:03Z hoffmann
75	! boundary conditions for the two new prognostic equations (nr, qr) of the
76	! two-moment cloud scheme
77	!
78	! 1036 2012-10-22 13:43:42Z raasch
79	! code put under GPL (PALM 3.9)
80	!
81	! 996 2012-09-07 10:41:47Z raasch
82	! little reformatting
83	!
84	! 978 2012-08-09 08:28:32Z fricke
85	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
86	! Outflow boundary conditions for the velocity components can be set to Neumann
87	! conditions or to radiation conditions with a horizontal averaged phase
88	! velocity.
89	!
90	! 875 2012-04-02 15:35:15Z gryschka
91	! Bugfix in case of dirichlet inflow bc at the right or north boundary
92	!
93	! Revision 1.1 1997/09/12 06:21:34 raasch
94	! Initial revision
95	!
96	!
97	! Description:
98	! ------------
99	! Boundary conditions for the prognostic quantities.
100	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
101	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
102	! handled in routine exchange_horiz. Pressure boundary conditions are
103	! explicitly set in routines pres, poisfft, poismg and sor.
104	!------------------------------------------------------------------------------!
105
106	USE arrays_3d, &
107	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, &
108	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
109	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
110	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
111	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
112	pt_init
113
114	USE control_parameters, &
115	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
116	cloud_physics, dt_3d, humidity, &
117	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_sa_t, ibc_uv_b, ibc_uv_t, &
118	icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s, &
119	intermediate_timestep_count, large_scale_forcing, ocean, &
120	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
121	precipitation, tsc, use_cmax, &
122	nudging
123
124	USE grid_variables, &
125	ONLY: ddx, ddy, dx, dy
126
127	USE indices, &
128	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
129	nzb, nzb_s_inner, nzb_w_inner, nzt
130
131	USE kinds
132
133	USE pegrid
134
135
136	IMPLICIT NONE
137
138	INTEGER(iwp) :: i !:
139	INTEGER(iwp) :: j !:
140	INTEGER(iwp) :: k !:
141
142	REAL(wp) :: c_max !:
143	REAL(wp) :: denom !:
144
145
146	!
147	!-- Bottom boundary
148	IF ( ibc_uv_b == 1 ) THEN
149	!$acc kernels present( u_p, v_p )
150	u_p(nzb,:,:) = u_p(nzb+1,:,:)
151	v_p(nzb,:,:) = v_p(nzb+1,:,:)
152	!$acc end kernels
153	ENDIF
154
155	!$acc kernels present( nzb_w_inner, w_p )
156	DO i = nxlg, nxrg
157	DO j = nysg, nyng
158	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
159	ENDDO
160	ENDDO
161	!$acc end kernels
162
163	!
164	!-- Top boundary
165	IF ( ibc_uv_t == 0 ) THEN
166	!$acc kernels present( u_init, u_p, v_init, v_p )
167	u_p(nzt+1,:,:) = u_init(nzt+1)
168	v_p(nzt+1,:,:) = v_init(nzt+1)
169	!$acc end kernels
170	ELSE
171	!$acc kernels present( u_p, v_p )
172	u_p(nzt+1,:,:) = u_p(nzt,:,:)
173	v_p(nzt+1,:,:) = v_p(nzt,:,:)
174	!$acc end kernels
175	ENDIF
176	!$acc kernels present( w_p )
177	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
178	!$acc end kernels
179
180	!
181	!-- Temperature at bottom boundary.
182	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
183	!-- the sea surface temperature of the coupled ocean model.
184	IF ( ibc_pt_b == 0 ) THEN
185	!$acc kernels present( nzb_s_inner, pt, pt_p )
186	!$acc loop independent
187	DO i = nxlg, nxrg
188	!$acc loop independent
189	DO j = nysg, nyng
190	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
191	ENDDO
192	ENDDO
193	!$acc end kernels
194	ELSEIF ( ibc_pt_b == 1 ) THEN
195	!$acc kernels present( nzb_s_inner, pt_p )
196	!$acc loop independent
197	DO i = nxlg, nxrg
198	!$acc loop independent
199	DO j = nysg, nyng
200	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
201	ENDDO
202	ENDDO
203	!$acc end kernels
204	ENDIF
205
206	!
207	!-- Temperature at top boundary
208	IF ( ibc_pt_t == 0 ) THEN
209	!$acc kernels present( pt, pt_p )
210	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
211	!
212	!-- In case of nudging adjust top boundary to pt which is
213	!-- read in from NUDGING-DATA
214	IF ( nudging ) THEN
215	pt_p(nzt+1,:,:) = pt_init(nzt+1)
216	ENDIF
217	!$acc end kernels
218	ELSEIF ( ibc_pt_t == 1 ) THEN
219	!$acc kernels present( pt_p )
220	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
221	!$acc end kernels
222	ELSEIF ( ibc_pt_t == 2 ) THEN
223	!$acc kernels present( dzu, pt_p )
224	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
225	!$acc end kernels
226	ENDIF
227
228	!
229	!-- Boundary conditions for TKE
230	!-- Generally Neumann conditions with de/dz=0 are assumed
231	IF ( .NOT. constant_diffusion ) THEN
232	!$acc kernels present( e_p, nzb_s_inner )
233	!$acc loop independent
234	DO i = nxlg, nxrg
235	!$acc loop independent
236	DO j = nysg, nyng
237	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
238	ENDDO
239	ENDDO
240	e_p(nzt+1,:,:) = e_p(nzt,:,:)
241	!$acc end kernels
242	ENDIF
243
244	!
245	!-- Boundary conditions for salinity
246	IF ( ocean ) THEN
247	!
248	!-- Bottom boundary: Neumann condition because salinity flux is always
249	!-- given
250	DO i = nxlg, nxrg
251	DO j = nysg, nyng
252	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
253	ENDDO
254	ENDDO
255
256	!
257	!-- Top boundary: Dirichlet or Neumann
258	IF ( ibc_sa_t == 0 ) THEN
259	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
260	ELSEIF ( ibc_sa_t == 1 ) THEN
261	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
262	ENDIF
263
264	ENDIF
265
266	!
267	!-- Boundary conditions for total water content or scalar,
268	!-- bottom and top boundary (see also temperature)
269	IF ( humidity .OR. passive_scalar ) THEN
270	!
271	!-- Surface conditions for constant_humidity_flux
272	IF ( ibc_q_b == 0 ) THEN
273	DO i = nxlg, nxrg
274	DO j = nysg, nyng
275	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
276	ENDDO
277	ENDDO
278	ELSE
279	DO i = nxlg, nxrg
280	DO j = nysg, nyng
281	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
282	ENDDO
283	ENDDO
284	ENDIF
285	!
286	!-- Top boundary
287	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
288
289	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
290	!
291	!-- Surface conditions rain water (Dirichlet)
292	DO i = nxlg, nxrg
293	DO j = nysg, nyng
294	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
295	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
296	ENDDO
297	ENDDO
298	!
299	!-- Top boundary condition for rain water (Dirichlet)
300	qr_p(nzt+1,:,:) = 0.0_wp
301	nr_p(nzt+1,:,:) = 0.0_wp
302
303	ENDIF
304	ENDIF
305	!
306	!-- In case of inflow at the south boundary the boundary for v is at nys
307	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
308	!-- Since in prognostic_equations (cache optimized version) these levels are
309	!-- handled as a prognostic level, boundary values have to be restored here.
310	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
311	IF ( inflow_s ) THEN
312	v_p(:,nys,:) = v_p(:,nys-1,:)
313	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
314	ELSEIF ( inflow_n ) THEN
315	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
316	ELSEIF ( inflow_l ) THEN
317	u_p(:,:,nxl) = u_p(:,:,nxl-1)
318	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
319	ELSEIF ( inflow_r ) THEN
320	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
321	ENDIF
322
323	!
324	!-- Lateral boundary conditions for scalar quantities at the outflow
325	IF ( outflow_s ) THEN
326	pt_p(:,nys-1,:) = pt_p(:,nys,:)
327	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
328	IF ( humidity .OR. passive_scalar ) THEN
329	q_p(:,nys-1,:) = q_p(:,nys,:)
330	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
331	precipitation) THEN
332	qr_p(:,nys-1,:) = qr_p(:,nys,:)
333	nr_p(:,nys-1,:) = nr_p(:,nys,:)
334	ENDIF
335	ENDIF
336	ELSEIF ( outflow_n ) THEN
337	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
338	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
339	IF ( humidity .OR. passive_scalar ) THEN
340	q_p(:,nyn+1,:) = q_p(:,nyn,:)
341	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
342	precipitation ) THEN
343	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
344	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
345	ENDIF
346	ENDIF
347	ELSEIF ( outflow_l ) THEN
348	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
349	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
350	IF ( humidity .OR. passive_scalar ) THEN
351	q_p(:,:,nxl-1) = q_p(:,:,nxl)
352	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
353	precipitation ) THEN
354	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
355	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
356	ENDIF
357	ENDIF
358	ELSEIF ( outflow_r ) THEN
359	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
360	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
361	IF ( humidity .OR. passive_scalar ) THEN
362	q_p(:,:,nxr+1) = q_p(:,:,nxr)
363	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
364	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
365	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
366	ENDIF
367	ENDIF
368	ENDIF
369
370	!
371	!-- Radiation boundary conditions for the velocities at the respective outflow.
372	!-- The phase velocity is either assumed to the maximum phase velocity that
373	!-- ensures numerical stability (CFL-condition) or calculated after
374	!-- Orlanski(1976) and averaged along the outflow boundary.
375	IF ( outflow_s ) THEN
376
377	IF ( use_cmax ) THEN
378	u_p(:,-1,:) = u(:,0,:)
379	v_p(:,0,:) = v(:,1,:)
380	w_p(:,-1,:) = w(:,0,:)
381	ELSEIF ( .NOT. use_cmax ) THEN
382
383	c_max = dy / dt_3d
384
385	c_u_m_l = 0.0_wp
386	c_v_m_l = 0.0_wp
387	c_w_m_l = 0.0_wp
388
389	c_u_m = 0.0_wp
390	c_v_m = 0.0_wp
391	c_w_m = 0.0_wp
392
393	!
394	!-- Calculate the phase speeds for u, v, and w, first local and then
395	!-- average along the outflow boundary.
396	DO k = nzb+1, nzt+1
397	DO i = nxl, nxr
398
399	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
400
401	IF ( denom /= 0.0_wp ) THEN
402	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
403	IF ( c_u(k,i) < 0.0_wp ) THEN
404	c_u(k,i) = 0.0_wp
405	ELSEIF ( c_u(k,i) > c_max ) THEN
406	c_u(k,i) = c_max
407	ENDIF
408	ELSE
409	c_u(k,i) = c_max
410	ENDIF
411
412	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
413
414	IF ( denom /= 0.0_wp ) THEN
415	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
416	IF ( c_v(k,i) < 0.0_wp ) THEN
417	c_v(k,i) = 0.0_wp
418	ELSEIF ( c_v(k,i) > c_max ) THEN
419	c_v(k,i) = c_max
420	ENDIF
421	ELSE
422	c_v(k,i) = c_max
423	ENDIF
424
425	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
426
427	IF ( denom /= 0.0_wp ) THEN
428	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
429	IF ( c_w(k,i) < 0.0_wp ) THEN
430	c_w(k,i) = 0.0_wp
431	ELSEIF ( c_w(k,i) > c_max ) THEN
432	c_w(k,i) = c_max
433	ENDIF
434	ELSE
435	c_w(k,i) = c_max
436	ENDIF
437
438	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
439	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
440	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
441
442	ENDDO
443	ENDDO
444
445	#if defined( __parallel )
446	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
447	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
448	MPI_SUM, comm1dx, ierr )
449	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
450	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
451	MPI_SUM, comm1dx, ierr )
452	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
453	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
454	MPI_SUM, comm1dx, ierr )
455	#else
456	c_u_m = c_u_m_l
457	c_v_m = c_v_m_l
458	c_w_m = c_w_m_l
459	#endif
460
461	c_u_m = c_u_m / (nx+1)
462	c_v_m = c_v_m / (nx+1)
463	c_w_m = c_w_m / (nx+1)
464
465	!
466	!-- Save old timelevels for the next timestep
467	IF ( intermediate_timestep_count == 1 ) THEN
468	u_m_s(:,:,:) = u(:,0:1,:)
469	v_m_s(:,:,:) = v(:,1:2,:)
470	w_m_s(:,:,:) = w(:,0:1,:)
471	ENDIF
472
473	!
474	!-- Calculate the new velocities
475	DO k = nzb+1, nzt+1
476	DO i = nxlg, nxrg
477	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
478	( u(k,-1,i) - u(k,0,i) ) * ddy
479
480	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
481	( v(k,0,i) - v(k,1,i) ) * ddy
482
483	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
484	( w(k,-1,i) - w(k,0,i) ) * ddy
485	ENDDO
486	ENDDO
487
488	!
489	!-- Bottom boundary at the outflow
490	IF ( ibc_uv_b == 0 ) THEN
491	u_p(nzb,-1,:) = 0.0_wp
492	v_p(nzb,0,:) = 0.0_wp
493	ELSE
494	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
495	v_p(nzb,0,:) = v_p(nzb+1,0,:)
496	ENDIF
497	w_p(nzb,-1,:) = 0.0_wp
498
499	!
500	!-- Top boundary at the outflow
501	IF ( ibc_uv_t == 0 ) THEN
502	u_p(nzt+1,-1,:) = u_init(nzt+1)
503	v_p(nzt+1,0,:) = v_init(nzt+1)
504	ELSE
505	u_p(nzt+1,-1,:) = u(nzt,-1,:)
506	v_p(nzt+1,0,:) = v(nzt,0,:)
507	ENDIF
508	w_p(nzt:nzt+1,-1,:) = 0.0_wp
509
510	ENDIF
511
512	ENDIF
513
514	IF ( outflow_n ) THEN
515
516	IF ( use_cmax ) THEN
517	u_p(:,ny+1,:) = u(:,ny,:)
518	v_p(:,ny+1,:) = v(:,ny,:)
519	w_p(:,ny+1,:) = w(:,ny,:)
520	ELSEIF ( .NOT. use_cmax ) THEN
521
522	c_max = dy / dt_3d
523
524	c_u_m_l = 0.0_wp
525	c_v_m_l = 0.0_wp
526	c_w_m_l = 0.0_wp
527
528	c_u_m = 0.0_wp
529	c_v_m = 0.0_wp
530	c_w_m = 0.0_wp
531
532	!
533	!-- Calculate the phase speeds for u, v, and w, first local and then
534	!-- average along the outflow boundary.
535	DO k = nzb+1, nzt+1
536	DO i = nxl, nxr
537
538	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
539
540	IF ( denom /= 0.0_wp ) THEN
541	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
542	IF ( c_u(k,i) < 0.0_wp ) THEN
543	c_u(k,i) = 0.0_wp
544	ELSEIF ( c_u(k,i) > c_max ) THEN
545	c_u(k,i) = c_max
546	ENDIF
547	ELSE
548	c_u(k,i) = c_max
549	ENDIF
550
551	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
552
553	IF ( denom /= 0.0_wp ) THEN
554	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
555	IF ( c_v(k,i) < 0.0_wp ) THEN
556	c_v(k,i) = 0.0_wp
557	ELSEIF ( c_v(k,i) > c_max ) THEN
558	c_v(k,i) = c_max
559	ENDIF
560	ELSE
561	c_v(k,i) = c_max
562	ENDIF
563
564	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
565
566	IF ( denom /= 0.0_wp ) THEN
567	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
568	IF ( c_w(k,i) < 0.0_wp ) THEN
569	c_w(k,i) = 0.0_wp
570	ELSEIF ( c_w(k,i) > c_max ) THEN
571	c_w(k,i) = c_max
572	ENDIF
573	ELSE
574	c_w(k,i) = c_max
575	ENDIF
576
577	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
578	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
579	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
580
581	ENDDO
582	ENDDO
583
584	#if defined( __parallel )
585	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
586	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
587	MPI_SUM, comm1dx, ierr )
588	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
589	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
590	MPI_SUM, comm1dx, ierr )
591	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
592	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
593	MPI_SUM, comm1dx, ierr )
594	#else
595	c_u_m = c_u_m_l
596	c_v_m = c_v_m_l
597	c_w_m = c_w_m_l
598	#endif
599
600	c_u_m = c_u_m / (nx+1)
601	c_v_m = c_v_m / (nx+1)
602	c_w_m = c_w_m / (nx+1)
603
604	!
605	!-- Save old timelevels for the next timestep
606	IF ( intermediate_timestep_count == 1 ) THEN
607	u_m_n(:,:,:) = u(:,ny-1:ny,:)
608	v_m_n(:,:,:) = v(:,ny-1:ny,:)
609	w_m_n(:,:,:) = w(:,ny-1:ny,:)
610	ENDIF
611
612	!
613	!-- Calculate the new velocities
614	DO k = nzb+1, nzt+1
615	DO i = nxlg, nxrg
616	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
617	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
618
619	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
620	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
621
622	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
623	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
624	ENDDO
625	ENDDO
626
627	!
628	!-- Bottom boundary at the outflow
629	IF ( ibc_uv_b == 0 ) THEN
630	u_p(nzb,ny+1,:) = 0.0_wp
631	v_p(nzb,ny+1,:) = 0.0_wp
632	ELSE
633	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
634	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
635	ENDIF
636	w_p(nzb,ny+1,:) = 0.0_wp
637
638	!
639	!-- Top boundary at the outflow
640	IF ( ibc_uv_t == 0 ) THEN
641	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
642	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
643	ELSE
644	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
645	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
646	ENDIF
647	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
648
649	ENDIF
650
651	ENDIF
652
653	IF ( outflow_l ) THEN
654
655	IF ( use_cmax ) THEN
656	u_p(:,:,-1) = u(:,:,0)
657	v_p(:,:,0) = v(:,:,1)
658	w_p(:,:,-1) = w(:,:,0)
659	ELSEIF ( .NOT. use_cmax ) THEN
660
661	c_max = dx / dt_3d
662
663	c_u_m_l = 0.0_wp
664	c_v_m_l = 0.0_wp
665	c_w_m_l = 0.0_wp
666
667	c_u_m = 0.0_wp
668	c_v_m = 0.0_wp
669	c_w_m = 0.0_wp
670
671	!
672	!-- Calculate the phase speeds for u, v, and w, first local and then
673	!-- average along the outflow boundary.
674	DO k = nzb+1, nzt+1
675	DO j = nys, nyn
676
677	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
678
679	IF ( denom /= 0.0_wp ) THEN
680	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
681	IF ( c_u(k,j) < 0.0_wp ) THEN
682	c_u(k,j) = 0.0_wp
683	ELSEIF ( c_u(k,j) > c_max ) THEN
684	c_u(k,j) = c_max
685	ENDIF
686	ELSE
687	c_u(k,j) = c_max
688	ENDIF
689
690	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
691
692	IF ( denom /= 0.0_wp ) THEN
693	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
694	IF ( c_v(k,j) < 0.0_wp ) THEN
695	c_v(k,j) = 0.0_wp
696	ELSEIF ( c_v(k,j) > c_max ) THEN
697	c_v(k,j) = c_max
698	ENDIF
699	ELSE
700	c_v(k,j) = c_max
701	ENDIF
702
703	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
704
705	IF ( denom /= 0.0_wp ) THEN
706	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
707	IF ( c_w(k,j) < 0.0_wp ) THEN
708	c_w(k,j) = 0.0_wp
709	ELSEIF ( c_w(k,j) > c_max ) THEN
710	c_w(k,j) = c_max
711	ENDIF
712	ELSE
713	c_w(k,j) = c_max
714	ENDIF
715
716	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
717	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
718	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
719
720	ENDDO
721	ENDDO
722
723	#if defined( __parallel )
724	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
725	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
726	MPI_SUM, comm1dy, ierr )
727	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
728	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
729	MPI_SUM, comm1dy, ierr )
730	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
731	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
732	MPI_SUM, comm1dy, ierr )
733	#else
734	c_u_m = c_u_m_l
735	c_v_m = c_v_m_l
736	c_w_m = c_w_m_l
737	#endif
738
739	c_u_m = c_u_m / (ny+1)
740	c_v_m = c_v_m / (ny+1)
741	c_w_m = c_w_m / (ny+1)
742
743	!
744	!-- Save old timelevels for the next timestep
745	IF ( intermediate_timestep_count == 1 ) THEN
746	u_m_l(:,:,:) = u(:,:,1:2)
747	v_m_l(:,:,:) = v(:,:,0:1)
748	w_m_l(:,:,:) = w(:,:,0:1)
749	ENDIF
750
751	!
752	!-- Calculate the new velocities
753	DO k = nzb+1, nzt+1
754	DO j = nysg, nyng
755	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
756	( u(k,j,0) - u(k,j,1) ) * ddx
757
758	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
759	( v(k,j,-1) - v(k,j,0) ) * ddx
760
761	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
762	( w(k,j,-1) - w(k,j,0) ) * ddx
763	ENDDO
764	ENDDO
765
766	!
767	!-- Bottom boundary at the outflow
768	IF ( ibc_uv_b == 0 ) THEN
769	u_p(nzb,:,0) = 0.0_wp
770	v_p(nzb,:,-1) = 0.0_wp
771	ELSE
772	u_p(nzb,:,0) = u_p(nzb+1,:,0)
773	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
774	ENDIF
775	w_p(nzb,:,-1) = 0.0_wp
776
777	!
778	!-- Top boundary at the outflow
779	IF ( ibc_uv_t == 0 ) THEN
780	u_p(nzt+1,:,-1) = u_init(nzt+1)
781	v_p(nzt+1,:,-1) = v_init(nzt+1)
782	ELSE
783	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
784	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
785	ENDIF
786	w_p(nzt:nzt+1,:,-1) = 0.0_wp
787
788	ENDIF
789
790	ENDIF
791
792	IF ( outflow_r ) THEN
793
794	IF ( use_cmax ) THEN
795	u_p(:,:,nx+1) = u(:,:,nx)
796	v_p(:,:,nx+1) = v(:,:,nx)
797	w_p(:,:,nx+1) = w(:,:,nx)
798	ELSEIF ( .NOT. use_cmax ) THEN
799
800	c_max = dx / dt_3d
801
802	c_u_m_l = 0.0_wp
803	c_v_m_l = 0.0_wp
804	c_w_m_l = 0.0_wp
805
806	c_u_m = 0.0_wp
807	c_v_m = 0.0_wp
808	c_w_m = 0.0_wp
809
810	!
811	!-- Calculate the phase speeds for u, v, and w, first local and then
812	!-- average along the outflow boundary.
813	DO k = nzb+1, nzt+1
814	DO j = nys, nyn
815
816	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
817
818	IF ( denom /= 0.0_wp ) THEN
819	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
820	IF ( c_u(k,j) < 0.0_wp ) THEN
821	c_u(k,j) = 0.0_wp
822	ELSEIF ( c_u(k,j) > c_max ) THEN
823	c_u(k,j) = c_max
824	ENDIF
825	ELSE
826	c_u(k,j) = c_max
827	ENDIF
828
829	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
830
831	IF ( denom /= 0.0_wp ) THEN
832	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
833	IF ( c_v(k,j) < 0.0_wp ) THEN
834	c_v(k,j) = 0.0_wp
835	ELSEIF ( c_v(k,j) > c_max ) THEN
836	c_v(k,j) = c_max
837	ENDIF
838	ELSE
839	c_v(k,j) = c_max
840	ENDIF
841
842	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
843
844	IF ( denom /= 0.0_wp ) THEN
845	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
846	IF ( c_w(k,j) < 0.0_wp ) THEN
847	c_w(k,j) = 0.0_wp
848	ELSEIF ( c_w(k,j) > c_max ) THEN
849	c_w(k,j) = c_max
850	ENDIF
851	ELSE
852	c_w(k,j) = c_max
853	ENDIF
854
855	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
856	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
857	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
858
859	ENDDO
860	ENDDO
861
862	#if defined( __parallel )
863	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
864	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
865	MPI_SUM, comm1dy, ierr )
866	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
867	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
868	MPI_SUM, comm1dy, ierr )
869	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
870	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
871	MPI_SUM, comm1dy, ierr )
872	#else
873	c_u_m = c_u_m_l
874	c_v_m = c_v_m_l
875	c_w_m = c_w_m_l
876	#endif
877
878	c_u_m = c_u_m / (ny+1)
879	c_v_m = c_v_m / (ny+1)
880	c_w_m = c_w_m / (ny+1)
881
882	!
883	!-- Save old timelevels for the next timestep
884	IF ( intermediate_timestep_count == 1 ) THEN
885	u_m_r(:,:,:) = u(:,:,nx-1:nx)
886	v_m_r(:,:,:) = v(:,:,nx-1:nx)
887	w_m_r(:,:,:) = w(:,:,nx-1:nx)
888	ENDIF
889
890	!
891	!-- Calculate the new velocities
892	DO k = nzb+1, nzt+1
893	DO j = nysg, nyng
894	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
895	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
896
897	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
898	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
899
900	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
901	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
902	ENDDO
903	ENDDO
904
905	!
906	!-- Bottom boundary at the outflow
907	IF ( ibc_uv_b == 0 ) THEN
908	u_p(nzb,:,nx+1) = 0.0_wp
909	v_p(nzb,:,nx+1) = 0.0_wp
910	ELSE
911	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
912	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
913	ENDIF
914	w_p(nzb,:,nx+1) = 0.0_wp
915
916	!
917	!-- Top boundary at the outflow
918	IF ( ibc_uv_t == 0 ) THEN
919	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
920	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
921	ELSE
922	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
923	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
924	ENDIF
925	w(nzt:nzt+1,:,nx+1) = 0.0_wp
926
927	ENDIF
928
929	ENDIF
930
931	END SUBROUTINE boundary_conds

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