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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1995

Last change on this file since 1995 was 1993, checked in by suehring, 8 years ago
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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 1993 2016-08-12 15:16:41Z suehring $
26	!
27	! 1992 2016-08-12 15:14:59Z suehring
28	! Adjustments for top boundary condition for passive scalar
29	!
30	! 1960 2016-07-12 16:34:24Z suehring
31	! Treat humidity and passive scalar separately
32	!
33	! 1823 2016-04-07 08:57:52Z hoffmann
34	! Initial version of purely vertical nesting introduced.
35	!
36	! 1822 2016-04-07 07:49:42Z hoffmann
37	! icloud_scheme removed. microphyisics_seifert added.
38	!
39	! 1764 2016-02-28 12:45:19Z raasch
40	! index bug for u_p at left outflow removed
41	!
42	! 1762 2016-02-25 12:31:13Z hellstea
43	! Introduction of nested domain feature
44	!
45	! 1742 2016-01-13 09:50:06Z raasch
46	! bugfix for outflow Neumann boundary conditions at bottom and top
47	!
48	! 1717 2015-11-11 15:09:47Z raasch
49	! Bugfix: index error in outflow conditions for left boundary
50	!
51	! 1682 2015-10-07 23:56:08Z knoop
52	! Code annotations made doxygen readable
53	!
54	! 1410 2014-05-23 12:16:18Z suehring
55	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
56	! top
57	!
58	! 1399 2014-05-07 11:16:25Z heinze
59	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
60	! is used.
61	!
62	! 1398 2014-05-07 11:15:00Z heinze
63	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
64	! for large_scale_forcing
65	!
66	! 1380 2014-04-28 12:40:45Z heinze
67	! Adjust Dirichlet-condition at the top for pt in case of nudging
68	!
69	! 1361 2014-04-16 15:17:48Z hoffmann
70	! Bottom and top boundary conditions of rain water content (qr) and
71	! rain drop concentration (nr) changed to Dirichlet
72	!
73	! 1353 2014-04-08 15:21:23Z heinze
74	! REAL constants provided with KIND-attribute
75	!
76	! 1320 2014-03-20 08:40:49Z raasch
77	! ONLY-attribute added to USE-statements,
78	! kind-parameters added to all INTEGER and REAL declaration statements,
79	! kinds are defined in new module kinds,
80	! revision history before 2012 removed,
81	! comment fields (!:) to be used for variable explanations added to
82	! all variable declaration statements
83	!
84	! 1257 2013-11-08 15:18:40Z raasch
85	! loop independent clauses added
86	!
87	! 1241 2013-10-30 11:36:58Z heinze
88	! Adjust ug and vg at each timestep in case of large_scale_forcing
89	!
90	! 1159 2013-05-21 11:58:22Z fricke
91	! Bugfix: Neumann boundary conditions for the velocity components at the
92	! outflow are in fact radiation boundary conditions using the maximum phase
93	! velocity that ensures numerical stability (CFL-condition).
94	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
95	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
96	! u_p, v_p, w_p
97	!
98	! 1115 2013-03-26 18:16:16Z hoffmann
99	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
100	! boundary-conditions
101	!
102	! 1113 2013-03-10 02:48:14Z raasch
103	! GPU-porting
104	! dummy argument "range" removed
105	! Bugfix: wrong index in loops of radiation boundary condition
106	!
107	! 1053 2012-11-13 17:11:03Z hoffmann
108	! boundary conditions for the two new prognostic equations (nr, qr) of the
109	! two-moment cloud scheme
110	!
111	! 1036 2012-10-22 13:43:42Z raasch
112	! code put under GPL (PALM 3.9)
113	!
114	! 996 2012-09-07 10:41:47Z raasch
115	! little reformatting
116	!
117	! 978 2012-08-09 08:28:32Z fricke
118	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
119	! Outflow boundary conditions for the velocity components can be set to Neumann
120	! conditions or to radiation conditions with a horizontal averaged phase
121	! velocity.
122	!
123	! 875 2012-04-02 15:35:15Z gryschka
124	! Bugfix in case of dirichlet inflow bc at the right or north boundary
125	!
126	! Revision 1.1 1997/09/12 06:21:34 raasch
127	! Initial revision
128	!
129	!
130	! Description:
131	! ------------
132	!> Boundary conditions for the prognostic quantities.
133	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
134	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
135	!> handled in routine exchange_horiz. Pressure boundary conditions are
136	!> explicitly set in routines pres, poisfft, poismg and sor.
137	!------------------------------------------------------------------------------!
138	SUBROUTINE boundary_conds
139
140
141	USE arrays_3d, &
142	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, &
143	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
144	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
145	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
146	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
147
148	USE control_parameters, &
149	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
150	cloud_physics, dt_3d, humidity, &
151	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
152	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
153	inflow_s, intermediate_timestep_count, large_scale_forcing, &
154	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
155	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
156	passive_scalar, tsc, use_cmax
157
158	USE grid_variables, &
159	ONLY: ddx, ddy, dx, dy
160
161	USE indices, &
162	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
163	nzb, nzb_s_inner, nzb_w_inner, nzt
164
165	USE kinds
166
167	USE pegrid
168
169	USE pmc_interface, &
170	ONLY : nesting_mode
171
172
173	IMPLICIT NONE
174
175	INTEGER(iwp) :: i !<
176	INTEGER(iwp) :: j !<
177	INTEGER(iwp) :: k !<
178
179	REAL(wp) :: c_max !<
180	REAL(wp) :: denom !<
181
182
183	!
184	!-- Bottom boundary
185	IF ( ibc_uv_b == 1 ) THEN
186	!$acc kernels present( u_p, v_p )
187	u_p(nzb,:,:) = u_p(nzb+1,:,:)
188	v_p(nzb,:,:) = v_p(nzb+1,:,:)
189	!$acc end kernels
190	ENDIF
191
192	!$acc kernels present( nzb_w_inner, w_p )
193	DO i = nxlg, nxrg
194	DO j = nysg, nyng
195	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
196	ENDDO
197	ENDDO
198	!$acc end kernels
199
200	!
201	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
202	IF ( ibc_uv_t == 0 ) THEN
203	!$acc kernels present( u_init, u_p, v_init, v_p )
204	u_p(nzt+1,:,:) = u_init(nzt+1)
205	v_p(nzt+1,:,:) = v_init(nzt+1)
206	!$acc end kernels
207	ELSEIF ( ibc_uv_t == 1 ) THEN
208	!$acc kernels present( u_p, v_p )
209	u_p(nzt+1,:,:) = u_p(nzt,:,:)
210	v_p(nzt+1,:,:) = v_p(nzt,:,:)
211	!$acc end kernels
212	ENDIF
213
214	IF ( .NOT. nest_domain ) THEN
215	!$acc kernels present( w_p )
216	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
217	!$acc end kernels
218	ENDIF
219
220	!
221	!-- Temperature at bottom boundary.
222	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
223	!-- the sea surface temperature of the coupled ocean model.
224	IF ( ibc_pt_b == 0 ) THEN
225	!$acc kernels present( nzb_s_inner, pt, pt_p )
226	!$acc loop independent
227	DO i = nxlg, nxrg
228	!$acc loop independent
229	DO j = nysg, nyng
230	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
231	ENDDO
232	ENDDO
233	!$acc end kernels
234	ELSEIF ( ibc_pt_b == 1 ) THEN
235	!$acc kernels present( nzb_s_inner, pt_p )
236	!$acc loop independent
237	DO i = nxlg, nxrg
238	!$acc loop independent
239	DO j = nysg, nyng
240	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
241	ENDDO
242	ENDDO
243	!$acc end kernels
244	ENDIF
245
246	!
247	!-- Temperature at top boundary
248	IF ( ibc_pt_t == 0 ) THEN
249	!$acc kernels present( pt, pt_p )
250	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
251	!
252	!-- In case of nudging adjust top boundary to pt which is
253	!-- read in from NUDGING-DATA
254	IF ( nudging ) THEN
255	pt_p(nzt+1,:,:) = pt_init(nzt+1)
256	ENDIF
257	!$acc end kernels
258	ELSEIF ( ibc_pt_t == 1 ) THEN
259	!$acc kernels present( pt_p )
260	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
261	!$acc end kernels
262	ELSEIF ( ibc_pt_t == 2 ) THEN
263	!$acc kernels present( dzu, pt_p )
264	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
265	!$acc end kernels
266	ENDIF
267
268	!
269	!-- Boundary conditions for TKE
270	!-- Generally Neumann conditions with de/dz=0 are assumed
271	IF ( .NOT. constant_diffusion ) THEN
272	!$acc kernels present( e_p, nzb_s_inner )
273	!$acc loop independent
274	DO i = nxlg, nxrg
275	!$acc loop independent
276	DO j = nysg, nyng
277	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
278	ENDDO
279	ENDDO
280	IF ( .NOT. nest_domain ) THEN
281	e_p(nzt+1,:,:) = e_p(nzt,:,:)
282	ENDIF
283	!$acc end kernels
284	ENDIF
285
286	!
287	!-- Boundary conditions for salinity
288	IF ( ocean ) THEN
289	!
290	!-- Bottom boundary: Neumann condition because salinity flux is always
291	!-- given
292	DO i = nxlg, nxrg
293	DO j = nysg, nyng
294	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
295	ENDDO
296	ENDDO
297
298	!
299	!-- Top boundary: Dirichlet or Neumann
300	IF ( ibc_sa_t == 0 ) THEN
301	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
302	ELSEIF ( ibc_sa_t == 1 ) THEN
303	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
304	ENDIF
305
306	ENDIF
307
308	!
309	!-- Boundary conditions for total water content,
310	!-- bottom and top boundary (see also temperature)
311	IF ( humidity ) THEN
312	!
313	!-- Surface conditions for constant_humidity_flux
314	IF ( ibc_q_b == 0 ) THEN
315	DO i = nxlg, nxrg
316	DO j = nysg, nyng
317	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
318	ENDDO
319	ENDDO
320	ELSE
321	DO i = nxlg, nxrg
322	DO j = nysg, nyng
323	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
324	ENDDO
325	ENDDO
326	ENDIF
327	!
328	!-- Top boundary
329	IF ( ibc_q_t == 0 ) THEN
330	q_p(nzt+1,:,:) = q(nzt+1,:,:)
331	ELSEIF ( ibc_q_t == 1 ) THEN
332	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
333	ENDIF
334
335	IF ( cloud_physics .AND. microphysics_seifert ) THEN
336	!
337	!-- Surface conditions rain water (Dirichlet)
338	DO i = nxlg, nxrg
339	DO j = nysg, nyng
340	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
341	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
342	ENDDO
343	ENDDO
344	!
345	!-- Top boundary condition for rain water (Dirichlet)
346	qr_p(nzt+1,:,:) = 0.0_wp
347	nr_p(nzt+1,:,:) = 0.0_wp
348
349	ENDIF
350	ENDIF
351	!
352	!-- Boundary conditions for scalar,
353	!-- bottom and top boundary (see also temperature)
354	IF ( passive_scalar ) THEN
355	!
356	!-- Surface conditions for constant_humidity_flux
357	IF ( ibc_s_b == 0 ) THEN
358	DO i = nxlg, nxrg
359	DO j = nysg, nyng
360	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
361	ENDDO
362	ENDDO
363	ELSE
364	DO i = nxlg, nxrg
365	DO j = nysg, nyng
366	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
367	ENDDO
368	ENDDO
369	ENDIF
370	!
371	!-- Top boundary condition
372	IF ( ibc_s_t == 0 ) THEN
373	s_p(nzt+1,:,:) = s(nzt+1,:,:)
374	ELSEIF ( ibc_s_t == 1 ) THEN
375	s_p(nzt+1,:,:) = s_p(nzt,:,:)
376	ELSEIF ( ibc_s_t == 2 ) THEN
377	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
378	ENDIF
379
380	ENDIF
381	!
382	!-- In case of inflow or nest boundary at the south boundary the boundary for v
383	!-- is at nys and in case of inflow or nest boundary at the left boundary the
384	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
385	!-- version) these levels are handled as a prognostic level, boundary values
386	!-- have to be restored here.
387	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
388	IF ( inflow_s ) THEN
389	v_p(:,nys,:) = v_p(:,nys-1,:)
390	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
391	ELSEIF ( inflow_n ) THEN
392	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
393	ELSEIF ( inflow_l ) THEN
394	u_p(:,:,nxl) = u_p(:,:,nxl-1)
395	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
396	ELSEIF ( inflow_r ) THEN
397	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
398	ENDIF
399
400	!
401	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
402	!-- in case of nest boundaries. This must not be done in case of vertical nesting
403	!-- mode as in that case the lateral boundaries are actually cyclic.
404	IF ( nesting_mode /= 'vertical' ) THEN
405	IF ( nest_bound_s ) THEN
406	v_p(:,nys,:) = v_p(:,nys-1,:)
407	ENDIF
408	IF ( nest_bound_l ) THEN
409	u_p(:,:,nxl) = u_p(:,:,nxl-1)
410	ENDIF
411	ENDIF
412
413	!
414	!-- Lateral boundary conditions for scalar quantities at the outflow
415	IF ( outflow_s ) THEN
416	pt_p(:,nys-1,:) = pt_p(:,nys,:)
417	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
418	IF ( humidity ) THEN
419	q_p(:,nys-1,:) = q_p(:,nys,:)
420	IF ( cloud_physics .AND. microphysics_seifert ) THEN
421	qr_p(:,nys-1,:) = qr_p(:,nys,:)
422	nr_p(:,nys-1,:) = nr_p(:,nys,:)
423	ENDIF
424	ENDIF
425	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
426	ELSEIF ( outflow_n ) THEN
427	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
428	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
429	IF ( humidity ) THEN
430	q_p(:,nyn+1,:) = q_p(:,nyn,:)
431	IF ( cloud_physics .AND. microphysics_seifert ) THEN
432	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
433	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
434	ENDIF
435	ENDIF
436	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
437	ELSEIF ( outflow_l ) THEN
438	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
439	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
440	IF ( humidity ) THEN
441	q_p(:,:,nxl-1) = q_p(:,:,nxl)
442	IF ( cloud_physics .AND. microphysics_seifert ) THEN
443	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
444	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
445	ENDIF
446	ENDIF
447	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
448	ELSEIF ( outflow_r ) THEN
449	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
450	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
451	IF ( humidity ) THEN
452	q_p(:,:,nxr+1) = q_p(:,:,nxr)
453	IF ( cloud_physics .AND. microphysics_seifert ) THEN
454	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
455	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
456	ENDIF
457	ENDIF
458	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
459	ENDIF
460
461	!
462	!-- Radiation boundary conditions for the velocities at the respective outflow.
463	!-- The phase velocity is either assumed to the maximum phase velocity that
464	!-- ensures numerical stability (CFL-condition) or calculated after
465	!-- Orlanski(1976) and averaged along the outflow boundary.
466	IF ( outflow_s ) THEN
467
468	IF ( use_cmax ) THEN
469	u_p(:,-1,:) = u(:,0,:)
470	v_p(:,0,:) = v(:,1,:)
471	w_p(:,-1,:) = w(:,0,:)
472	ELSEIF ( .NOT. use_cmax ) THEN
473
474	c_max = dy / dt_3d
475
476	c_u_m_l = 0.0_wp
477	c_v_m_l = 0.0_wp
478	c_w_m_l = 0.0_wp
479
480	c_u_m = 0.0_wp
481	c_v_m = 0.0_wp
482	c_w_m = 0.0_wp
483
484	!
485	!-- Calculate the phase speeds for u, v, and w, first local and then
486	!-- average along the outflow boundary.
487	DO k = nzb+1, nzt+1
488	DO i = nxl, nxr
489
490	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
491
492	IF ( denom /= 0.0_wp ) THEN
493	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
494	IF ( c_u(k,i) < 0.0_wp ) THEN
495	c_u(k,i) = 0.0_wp
496	ELSEIF ( c_u(k,i) > c_max ) THEN
497	c_u(k,i) = c_max
498	ENDIF
499	ELSE
500	c_u(k,i) = c_max
501	ENDIF
502
503	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
504
505	IF ( denom /= 0.0_wp ) THEN
506	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
507	IF ( c_v(k,i) < 0.0_wp ) THEN
508	c_v(k,i) = 0.0_wp
509	ELSEIF ( c_v(k,i) > c_max ) THEN
510	c_v(k,i) = c_max
511	ENDIF
512	ELSE
513	c_v(k,i) = c_max
514	ENDIF
515
516	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
517
518	IF ( denom /= 0.0_wp ) THEN
519	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
520	IF ( c_w(k,i) < 0.0_wp ) THEN
521	c_w(k,i) = 0.0_wp
522	ELSEIF ( c_w(k,i) > c_max ) THEN
523	c_w(k,i) = c_max
524	ENDIF
525	ELSE
526	c_w(k,i) = c_max
527	ENDIF
528
529	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
530	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
531	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
532
533	ENDDO
534	ENDDO
535
536	#if defined( __parallel )
537	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
538	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
539	MPI_SUM, comm1dx, ierr )
540	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
541	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
542	MPI_SUM, comm1dx, ierr )
543	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
544	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
545	MPI_SUM, comm1dx, ierr )
546	#else
547	c_u_m = c_u_m_l
548	c_v_m = c_v_m_l
549	c_w_m = c_w_m_l
550	#endif
551
552	c_u_m = c_u_m / (nx+1)
553	c_v_m = c_v_m / (nx+1)
554	c_w_m = c_w_m / (nx+1)
555
556	!
557	!-- Save old timelevels for the next timestep
558	IF ( intermediate_timestep_count == 1 ) THEN
559	u_m_s(:,:,:) = u(:,0:1,:)
560	v_m_s(:,:,:) = v(:,1:2,:)
561	w_m_s(:,:,:) = w(:,0:1,:)
562	ENDIF
563
564	!
565	!-- Calculate the new velocities
566	DO k = nzb+1, nzt+1
567	DO i = nxlg, nxrg
568	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
569	( u(k,-1,i) - u(k,0,i) ) * ddy
570
571	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
572	( v(k,0,i) - v(k,1,i) ) * ddy
573
574	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
575	( w(k,-1,i) - w(k,0,i) ) * ddy
576	ENDDO
577	ENDDO
578
579	!
580	!-- Bottom boundary at the outflow
581	IF ( ibc_uv_b == 0 ) THEN
582	u_p(nzb,-1,:) = 0.0_wp
583	v_p(nzb,0,:) = 0.0_wp
584	ELSE
585	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
586	v_p(nzb,0,:) = v_p(nzb+1,0,:)
587	ENDIF
588	w_p(nzb,-1,:) = 0.0_wp
589
590	!
591	!-- Top boundary at the outflow
592	IF ( ibc_uv_t == 0 ) THEN
593	u_p(nzt+1,-1,:) = u_init(nzt+1)
594	v_p(nzt+1,0,:) = v_init(nzt+1)
595	ELSE
596	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
597	v_p(nzt+1,0,:) = v_p(nzt,0,:)
598	ENDIF
599	w_p(nzt:nzt+1,-1,:) = 0.0_wp
600
601	ENDIF
602
603	ENDIF
604
605	IF ( outflow_n ) THEN
606
607	IF ( use_cmax ) THEN
608	u_p(:,ny+1,:) = u(:,ny,:)
609	v_p(:,ny+1,:) = v(:,ny,:)
610	w_p(:,ny+1,:) = w(:,ny,:)
611	ELSEIF ( .NOT. use_cmax ) THEN
612
613	c_max = dy / dt_3d
614
615	c_u_m_l = 0.0_wp
616	c_v_m_l = 0.0_wp
617	c_w_m_l = 0.0_wp
618
619	c_u_m = 0.0_wp
620	c_v_m = 0.0_wp
621	c_w_m = 0.0_wp
622
623	!
624	!-- Calculate the phase speeds for u, v, and w, first local and then
625	!-- average along the outflow boundary.
626	DO k = nzb+1, nzt+1
627	DO i = nxl, nxr
628
629	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
630
631	IF ( denom /= 0.0_wp ) THEN
632	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
633	IF ( c_u(k,i) < 0.0_wp ) THEN
634	c_u(k,i) = 0.0_wp
635	ELSEIF ( c_u(k,i) > c_max ) THEN
636	c_u(k,i) = c_max
637	ENDIF
638	ELSE
639	c_u(k,i) = c_max
640	ENDIF
641
642	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
643
644	IF ( denom /= 0.0_wp ) THEN
645	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
646	IF ( c_v(k,i) < 0.0_wp ) THEN
647	c_v(k,i) = 0.0_wp
648	ELSEIF ( c_v(k,i) > c_max ) THEN
649	c_v(k,i) = c_max
650	ENDIF
651	ELSE
652	c_v(k,i) = c_max
653	ENDIF
654
655	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
656
657	IF ( denom /= 0.0_wp ) THEN
658	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
659	IF ( c_w(k,i) < 0.0_wp ) THEN
660	c_w(k,i) = 0.0_wp
661	ELSEIF ( c_w(k,i) > c_max ) THEN
662	c_w(k,i) = c_max
663	ENDIF
664	ELSE
665	c_w(k,i) = c_max
666	ENDIF
667
668	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
669	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
670	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
671
672	ENDDO
673	ENDDO
674
675	#if defined( __parallel )
676	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
677	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
678	MPI_SUM, comm1dx, ierr )
679	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
680	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
681	MPI_SUM, comm1dx, ierr )
682	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
683	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
684	MPI_SUM, comm1dx, ierr )
685	#else
686	c_u_m = c_u_m_l
687	c_v_m = c_v_m_l
688	c_w_m = c_w_m_l
689	#endif
690
691	c_u_m = c_u_m / (nx+1)
692	c_v_m = c_v_m / (nx+1)
693	c_w_m = c_w_m / (nx+1)
694
695	!
696	!-- Save old timelevels for the next timestep
697	IF ( intermediate_timestep_count == 1 ) THEN
698	u_m_n(:,:,:) = u(:,ny-1:ny,:)
699	v_m_n(:,:,:) = v(:,ny-1:ny,:)
700	w_m_n(:,:,:) = w(:,ny-1:ny,:)
701	ENDIF
702
703	!
704	!-- Calculate the new velocities
705	DO k = nzb+1, nzt+1
706	DO i = nxlg, nxrg
707	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
708	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
709
710	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
711	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
712
713	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
714	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
715	ENDDO
716	ENDDO
717
718	!
719	!-- Bottom boundary at the outflow
720	IF ( ibc_uv_b == 0 ) THEN
721	u_p(nzb,ny+1,:) = 0.0_wp
722	v_p(nzb,ny+1,:) = 0.0_wp
723	ELSE
724	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
725	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
726	ENDIF
727	w_p(nzb,ny+1,:) = 0.0_wp
728
729	!
730	!-- Top boundary at the outflow
731	IF ( ibc_uv_t == 0 ) THEN
732	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
733	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
734	ELSE
735	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
736	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
737	ENDIF
738	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
739
740	ENDIF
741
742	ENDIF
743
744	IF ( outflow_l ) THEN
745
746	IF ( use_cmax ) THEN
747	u_p(:,:,0) = u(:,:,1)
748	v_p(:,:,-1) = v(:,:,0)
749	w_p(:,:,-1) = w(:,:,0)
750	ELSEIF ( .NOT. use_cmax ) THEN
751
752	c_max = dx / dt_3d
753
754	c_u_m_l = 0.0_wp
755	c_v_m_l = 0.0_wp
756	c_w_m_l = 0.0_wp
757
758	c_u_m = 0.0_wp
759	c_v_m = 0.0_wp
760	c_w_m = 0.0_wp
761
762	!
763	!-- Calculate the phase speeds for u, v, and w, first local and then
764	!-- average along the outflow boundary.
765	DO k = nzb+1, nzt+1
766	DO j = nys, nyn
767
768	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
769
770	IF ( denom /= 0.0_wp ) THEN
771	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
772	IF ( c_u(k,j) < 0.0_wp ) THEN
773	c_u(k,j) = 0.0_wp
774	ELSEIF ( c_u(k,j) > c_max ) THEN
775	c_u(k,j) = c_max
776	ENDIF
777	ELSE
778	c_u(k,j) = c_max
779	ENDIF
780
781	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
782
783	IF ( denom /= 0.0_wp ) THEN
784	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
785	IF ( c_v(k,j) < 0.0_wp ) THEN
786	c_v(k,j) = 0.0_wp
787	ELSEIF ( c_v(k,j) > c_max ) THEN
788	c_v(k,j) = c_max
789	ENDIF
790	ELSE
791	c_v(k,j) = c_max
792	ENDIF
793
794	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
795
796	IF ( denom /= 0.0_wp ) THEN
797	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
798	IF ( c_w(k,j) < 0.0_wp ) THEN
799	c_w(k,j) = 0.0_wp
800	ELSEIF ( c_w(k,j) > c_max ) THEN
801	c_w(k,j) = c_max
802	ENDIF
803	ELSE
804	c_w(k,j) = c_max
805	ENDIF
806
807	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
808	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
809	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
810
811	ENDDO
812	ENDDO
813
814	#if defined( __parallel )
815	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
816	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
817	MPI_SUM, comm1dy, ierr )
818	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
819	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
820	MPI_SUM, comm1dy, ierr )
821	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
822	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
823	MPI_SUM, comm1dy, ierr )
824	#else
825	c_u_m = c_u_m_l
826	c_v_m = c_v_m_l
827	c_w_m = c_w_m_l
828	#endif
829
830	c_u_m = c_u_m / (ny+1)
831	c_v_m = c_v_m / (ny+1)
832	c_w_m = c_w_m / (ny+1)
833
834	!
835	!-- Save old timelevels for the next timestep
836	IF ( intermediate_timestep_count == 1 ) THEN
837	u_m_l(:,:,:) = u(:,:,1:2)
838	v_m_l(:,:,:) = v(:,:,0:1)
839	w_m_l(:,:,:) = w(:,:,0:1)
840	ENDIF
841
842	!
843	!-- Calculate the new velocities
844	DO k = nzb+1, nzt+1
845	DO j = nysg, nyng
846	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
847	( u(k,j,0) - u(k,j,1) ) * ddx
848
849	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
850	( v(k,j,-1) - v(k,j,0) ) * ddx
851
852	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
853	( w(k,j,-1) - w(k,j,0) ) * ddx
854	ENDDO
855	ENDDO
856
857	!
858	!-- Bottom boundary at the outflow
859	IF ( ibc_uv_b == 0 ) THEN
860	u_p(nzb,:,0) = 0.0_wp
861	v_p(nzb,:,-1) = 0.0_wp
862	ELSE
863	u_p(nzb,:,0) = u_p(nzb+1,:,0)
864	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
865	ENDIF
866	w_p(nzb,:,-1) = 0.0_wp
867
868	!
869	!-- Top boundary at the outflow
870	IF ( ibc_uv_t == 0 ) THEN
871	u_p(nzt+1,:,0) = u_init(nzt+1)
872	v_p(nzt+1,:,-1) = v_init(nzt+1)
873	ELSE
874	u_p(nzt+1,:,0) = u_p(nzt,:,0)
875	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
876	ENDIF
877	w_p(nzt:nzt+1,:,-1) = 0.0_wp
878
879	ENDIF
880
881	ENDIF
882
883	IF ( outflow_r ) THEN
884
885	IF ( use_cmax ) THEN
886	u_p(:,:,nx+1) = u(:,:,nx)
887	v_p(:,:,nx+1) = v(:,:,nx)
888	w_p(:,:,nx+1) = w(:,:,nx)
889	ELSEIF ( .NOT. use_cmax ) THEN
890
891	c_max = dx / dt_3d
892
893	c_u_m_l = 0.0_wp
894	c_v_m_l = 0.0_wp
895	c_w_m_l = 0.0_wp
896
897	c_u_m = 0.0_wp
898	c_v_m = 0.0_wp
899	c_w_m = 0.0_wp
900
901	!
902	!-- Calculate the phase speeds for u, v, and w, first local and then
903	!-- average along the outflow boundary.
904	DO k = nzb+1, nzt+1
905	DO j = nys, nyn
906
907	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
908
909	IF ( denom /= 0.0_wp ) THEN
910	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
911	IF ( c_u(k,j) < 0.0_wp ) THEN
912	c_u(k,j) = 0.0_wp
913	ELSEIF ( c_u(k,j) > c_max ) THEN
914	c_u(k,j) = c_max
915	ENDIF
916	ELSE
917	c_u(k,j) = c_max
918	ENDIF
919
920	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
921
922	IF ( denom /= 0.0_wp ) THEN
923	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
924	IF ( c_v(k,j) < 0.0_wp ) THEN
925	c_v(k,j) = 0.0_wp
926	ELSEIF ( c_v(k,j) > c_max ) THEN
927	c_v(k,j) = c_max
928	ENDIF
929	ELSE
930	c_v(k,j) = c_max
931	ENDIF
932
933	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
934
935	IF ( denom /= 0.0_wp ) THEN
936	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
937	IF ( c_w(k,j) < 0.0_wp ) THEN
938	c_w(k,j) = 0.0_wp
939	ELSEIF ( c_w(k,j) > c_max ) THEN
940	c_w(k,j) = c_max
941	ENDIF
942	ELSE
943	c_w(k,j) = c_max
944	ENDIF
945
946	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
947	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
948	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
949
950	ENDDO
951	ENDDO
952
953	#if defined( __parallel )
954	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
955	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
956	MPI_SUM, comm1dy, ierr )
957	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
958	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
959	MPI_SUM, comm1dy, ierr )
960	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
961	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
962	MPI_SUM, comm1dy, ierr )
963	#else
964	c_u_m = c_u_m_l
965	c_v_m = c_v_m_l
966	c_w_m = c_w_m_l
967	#endif
968
969	c_u_m = c_u_m / (ny+1)
970	c_v_m = c_v_m / (ny+1)
971	c_w_m = c_w_m / (ny+1)
972
973	!
974	!-- Save old timelevels for the next timestep
975	IF ( intermediate_timestep_count == 1 ) THEN
976	u_m_r(:,:,:) = u(:,:,nx-1:nx)
977	v_m_r(:,:,:) = v(:,:,nx-1:nx)
978	w_m_r(:,:,:) = w(:,:,nx-1:nx)
979	ENDIF
980
981	!
982	!-- Calculate the new velocities
983	DO k = nzb+1, nzt+1
984	DO j = nysg, nyng
985	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
986	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
987
988	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
989	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
990
991	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
992	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
993	ENDDO
994	ENDDO
995
996	!
997	!-- Bottom boundary at the outflow
998	IF ( ibc_uv_b == 0 ) THEN
999	u_p(nzb,:,nx+1) = 0.0_wp
1000	v_p(nzb,:,nx+1) = 0.0_wp
1001	ELSE
1002	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
1003	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
1004	ENDIF
1005	w_p(nzb,:,nx+1) = 0.0_wp
1006
1007	!
1008	!-- Top boundary at the outflow
1009	IF ( ibc_uv_t == 0 ) THEN
1010	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
1011	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
1012	ELSE
1013	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
1014	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
1015	ENDIF
1016	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
1017
1018	ENDIF
1019
1020	ENDIF
1021
1022	END SUBROUTINE boundary_conds

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