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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1985

Last change on this file since 1985 was 1961, 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 1961 2016-07-12 16:37:58Z suehring $
26	!
27	! 1960 2016-07-12 16:34:24Z suehring
28	! Treat humidity and passive scalar separately
29	!
30	! 1823 2016-04-07 08:57:52Z hoffmann
31	! Initial version of purely vertical nesting introduced.
32	!
33	! 1822 2016-04-07 07:49:42Z hoffmann
34	! icloud_scheme removed. microphyisics_seifert added.
35	!
36	! 1764 2016-02-28 12:45:19Z raasch
37	! index bug for u_p at left outflow removed
38	!
39	! 1762 2016-02-25 12:31:13Z hellstea
40	! Introduction of nested domain feature
41	!
42	! 1742 2016-01-13 09:50:06Z raasch
43	! bugfix for outflow Neumann boundary conditions at bottom and top
44	!
45	! 1717 2015-11-11 15:09:47Z raasch
46	! Bugfix: index error in outflow conditions for left boundary
47	!
48	! 1682 2015-10-07 23:56:08Z knoop
49	! Code annotations made doxygen readable
50	!
51	! 1410 2014-05-23 12:16:18Z suehring
52	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
53	! top
54	!
55	! 1399 2014-05-07 11:16:25Z heinze
56	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
57	! is used.
58	!
59	! 1398 2014-05-07 11:15:00Z heinze
60	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
61	! for large_scale_forcing
62	!
63	! 1380 2014-04-28 12:40:45Z heinze
64	! Adjust Dirichlet-condition at the top for pt in case of nudging
65	!
66	! 1361 2014-04-16 15:17:48Z hoffmann
67	! Bottom and top boundary conditions of rain water content (qr) and
68	! rain drop concentration (nr) changed to Dirichlet
69	!
70	! 1353 2014-04-08 15:21:23Z heinze
71	! REAL constants provided with KIND-attribute
72	!
73	! 1320 2014-03-20 08:40:49Z raasch
74	! ONLY-attribute added to USE-statements,
75	! kind-parameters added to all INTEGER and REAL declaration statements,
76	! kinds are defined in new module kinds,
77	! revision history before 2012 removed,
78	! comment fields (!:) to be used for variable explanations added to
79	! all variable declaration statements
80	!
81	! 1257 2013-11-08 15:18:40Z raasch
82	! loop independent clauses added
83	!
84	! 1241 2013-10-30 11:36:58Z heinze
85	! Adjust ug and vg at each timestep in case of large_scale_forcing
86	!
87	! 1159 2013-05-21 11:58:22Z fricke
88	! Bugfix: Neumann boundary conditions for the velocity components at the
89	! outflow are in fact radiation boundary conditions using the maximum phase
90	! velocity that ensures numerical stability (CFL-condition).
91	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
92	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
93	! u_p, v_p, w_p
94	!
95	! 1115 2013-03-26 18:16:16Z hoffmann
96	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
97	! boundary-conditions
98	!
99	! 1113 2013-03-10 02:48:14Z raasch
100	! GPU-porting
101	! dummy argument "range" removed
102	! Bugfix: wrong index in loops of radiation boundary condition
103	!
104	! 1053 2012-11-13 17:11:03Z hoffmann
105	! boundary conditions for the two new prognostic equations (nr, qr) of the
106	! two-moment cloud scheme
107	!
108	! 1036 2012-10-22 13:43:42Z raasch
109	! code put under GPL (PALM 3.9)
110	!
111	! 996 2012-09-07 10:41:47Z raasch
112	! little reformatting
113	!
114	! 978 2012-08-09 08:28:32Z fricke
115	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
116	! Outflow boundary conditions for the velocity components can be set to Neumann
117	! conditions or to radiation conditions with a horizontal averaged phase
118	! velocity.
119	!
120	! 875 2012-04-02 15:35:15Z gryschka
121	! Bugfix in case of dirichlet inflow bc at the right or north boundary
122	!
123	! Revision 1.1 1997/09/12 06:21:34 raasch
124	! Initial revision
125	!
126	!
127	! Description:
128	! ------------
129	!> Boundary conditions for the prognostic quantities.
130	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
131	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
132	!> handled in routine exchange_horiz. Pressure boundary conditions are
133	!> explicitly set in routines pres, poisfft, poismg and sor.
134	!------------------------------------------------------------------------------!
135	SUBROUTINE boundary_conds
136
137
138	USE arrays_3d, &
139	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, &
140	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
141	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
142	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
143	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
144
145	USE control_parameters, &
146	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
147	cloud_physics, dt_3d, humidity, &
148	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
149	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
150	inflow_s, intermediate_timestep_count, large_scale_forcing, &
151	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
152	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
153	passive_scalar, tsc, use_cmax
154
155	USE grid_variables, &
156	ONLY: ddx, ddy, dx, dy
157
158	USE indices, &
159	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
160	nzb, nzb_s_inner, nzb_w_inner, nzt
161
162	USE kinds
163
164	USE pegrid
165
166	USE pmc_interface, &
167	ONLY : nesting_mode
168
169
170	IMPLICIT NONE
171
172	INTEGER(iwp) :: i !<
173	INTEGER(iwp) :: j !<
174	INTEGER(iwp) :: k !<
175
176	REAL(wp) :: c_max !<
177	REAL(wp) :: denom !<
178
179
180	!
181	!-- Bottom boundary
182	IF ( ibc_uv_b == 1 ) THEN
183	!$acc kernels present( u_p, v_p )
184	u_p(nzb,:,:) = u_p(nzb+1,:,:)
185	v_p(nzb,:,:) = v_p(nzb+1,:,:)
186	!$acc end kernels
187	ENDIF
188
189	!$acc kernels present( nzb_w_inner, w_p )
190	DO i = nxlg, nxrg
191	DO j = nysg, nyng
192	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
193	ENDDO
194	ENDDO
195	!$acc end kernels
196
197	!
198	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
199	IF ( ibc_uv_t == 0 ) THEN
200	!$acc kernels present( u_init, u_p, v_init, v_p )
201	u_p(nzt+1,:,:) = u_init(nzt+1)
202	v_p(nzt+1,:,:) = v_init(nzt+1)
203	!$acc end kernels
204	ELSEIF ( ibc_uv_t == 1 ) THEN
205	!$acc kernels present( u_p, v_p )
206	u_p(nzt+1,:,:) = u_p(nzt,:,:)
207	v_p(nzt+1,:,:) = v_p(nzt,:,:)
208	!$acc end kernels
209	ENDIF
210
211	IF ( .NOT. nest_domain ) THEN
212	!$acc kernels present( w_p )
213	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
214	!$acc end kernels
215	ENDIF
216
217	!
218	!-- Temperature at bottom boundary.
219	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
220	!-- the sea surface temperature of the coupled ocean model.
221	IF ( ibc_pt_b == 0 ) THEN
222	!$acc kernels present( nzb_s_inner, pt, pt_p )
223	!$acc loop independent
224	DO i = nxlg, nxrg
225	!$acc loop independent
226	DO j = nysg, nyng
227	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
228	ENDDO
229	ENDDO
230	!$acc end kernels
231	ELSEIF ( ibc_pt_b == 1 ) THEN
232	!$acc kernels present( nzb_s_inner, pt_p )
233	!$acc loop independent
234	DO i = nxlg, nxrg
235	!$acc loop independent
236	DO j = nysg, nyng
237	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
238	ENDDO
239	ENDDO
240	!$acc end kernels
241	ENDIF
242
243	!
244	!-- Temperature at top boundary
245	IF ( ibc_pt_t == 0 ) THEN
246	!$acc kernels present( pt, pt_p )
247	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
248	!
249	!-- In case of nudging adjust top boundary to pt which is
250	!-- read in from NUDGING-DATA
251	IF ( nudging ) THEN
252	pt_p(nzt+1,:,:) = pt_init(nzt+1)
253	ENDIF
254	!$acc end kernels
255	ELSEIF ( ibc_pt_t == 1 ) THEN
256	!$acc kernels present( pt_p )
257	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
258	!$acc end kernels
259	ELSEIF ( ibc_pt_t == 2 ) THEN
260	!$acc kernels present( dzu, pt_p )
261	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
262	!$acc end kernels
263	ENDIF
264
265	!
266	!-- Boundary conditions for TKE
267	!-- Generally Neumann conditions with de/dz=0 are assumed
268	IF ( .NOT. constant_diffusion ) THEN
269	!$acc kernels present( e_p, nzb_s_inner )
270	!$acc loop independent
271	DO i = nxlg, nxrg
272	!$acc loop independent
273	DO j = nysg, nyng
274	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
275	ENDDO
276	ENDDO
277	IF ( .NOT. nest_domain ) THEN
278	e_p(nzt+1,:,:) = e_p(nzt,:,:)
279	ENDIF
280	!$acc end kernels
281	ENDIF
282
283	!
284	!-- Boundary conditions for salinity
285	IF ( ocean ) THEN
286	!
287	!-- Bottom boundary: Neumann condition because salinity flux is always
288	!-- given
289	DO i = nxlg, nxrg
290	DO j = nysg, nyng
291	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
292	ENDDO
293	ENDDO
294
295	!
296	!-- Top boundary: Dirichlet or Neumann
297	IF ( ibc_sa_t == 0 ) THEN
298	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
299	ELSEIF ( ibc_sa_t == 1 ) THEN
300	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
301	ENDIF
302
303	ENDIF
304
305	!
306	!-- Boundary conditions for total water content,
307	!-- bottom and top boundary (see also temperature)
308	IF ( humidity ) THEN
309	!
310	!-- Surface conditions for constant_humidity_flux
311	IF ( ibc_q_b == 0 ) THEN
312	DO i = nxlg, nxrg
313	DO j = nysg, nyng
314	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
315	ENDDO
316	ENDDO
317	ELSE
318	DO i = nxlg, nxrg
319	DO j = nysg, nyng
320	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
321	ENDDO
322	ENDDO
323	ENDIF
324	!
325	!-- Top boundary
326	IF ( ibc_q_t == 0 ) THEN
327	q_p(nzt+1,:,:) = q(nzt+1,:,:)
328	ELSEIF ( ibc_q_t == 1 ) THEN
329	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
330	ENDIF
331
332	IF ( cloud_physics .AND. microphysics_seifert ) THEN
333	!
334	!-- Surface conditions rain water (Dirichlet)
335	DO i = nxlg, nxrg
336	DO j = nysg, nyng
337	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
338	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
339	ENDDO
340	ENDDO
341	!
342	!-- Top boundary condition for rain water (Dirichlet)
343	qr_p(nzt+1,:,:) = 0.0_wp
344	nr_p(nzt+1,:,:) = 0.0_wp
345
346	ENDIF
347	ENDIF
348	!
349	!-- Boundary conditions for scalar,
350	!-- bottom and top boundary (see also temperature)
351	IF ( passive_scalar ) THEN
352	!
353	!-- Surface conditions for constant_humidity_flux
354	IF ( ibc_s_b == 0 ) THEN
355	DO i = nxlg, nxrg
356	DO j = nysg, nyng
357	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
358	ENDDO
359	ENDDO
360	ELSE
361	DO i = nxlg, nxrg
362	DO j = nysg, nyng
363	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
364	ENDDO
365	ENDDO
366	ENDIF
367	!
368	!-- Top boundary
369	IF ( ibc_s_t == 0 ) THEN
370	s_p(nzt+1,:,:) = s(nzt+1,:,:)
371	ELSEIF ( ibc_s_t == 1 ) THEN
372	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
373	ENDIF
374
375	ENDIF
376	!
377	!-- In case of inflow or nest boundary at the south boundary the boundary for v
378	!-- is at nys and in case of inflow or nest boundary at the left boundary the
379	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
380	!-- version) these levels are handled as a prognostic level, boundary values
381	!-- have to be restored here.
382	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
383	IF ( inflow_s ) THEN
384	v_p(:,nys,:) = v_p(:,nys-1,:)
385	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
386	ELSEIF ( inflow_n ) THEN
387	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
388	ELSEIF ( inflow_l ) THEN
389	u_p(:,:,nxl) = u_p(:,:,nxl-1)
390	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
391	ELSEIF ( inflow_r ) THEN
392	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
393	ENDIF
394
395	!
396	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
397	!-- in case of nest boundaries. This must not be done in case of vertical nesting
398	!-- mode as in that case the lateral boundaries are actually cyclic.
399	IF ( nesting_mode /= 'vertical' ) THEN
400	IF ( nest_bound_s ) THEN
401	v_p(:,nys,:) = v_p(:,nys-1,:)
402	ENDIF
403	IF ( nest_bound_l ) THEN
404	u_p(:,:,nxl) = u_p(:,:,nxl-1)
405	ENDIF
406	ENDIF
407
408	!
409	!-- Lateral boundary conditions for scalar quantities at the outflow
410	IF ( outflow_s ) THEN
411	pt_p(:,nys-1,:) = pt_p(:,nys,:)
412	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
413	IF ( humidity ) THEN
414	q_p(:,nys-1,:) = q_p(:,nys,:)
415	IF ( cloud_physics .AND. microphysics_seifert ) THEN
416	qr_p(:,nys-1,:) = qr_p(:,nys,:)
417	nr_p(:,nys-1,:) = nr_p(:,nys,:)
418	ENDIF
419	ENDIF
420	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
421	ELSEIF ( outflow_n ) THEN
422	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
423	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
424	IF ( humidity ) THEN
425	q_p(:,nyn+1,:) = q_p(:,nyn,:)
426	IF ( cloud_physics .AND. microphysics_seifert ) THEN
427	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
428	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
429	ENDIF
430	ENDIF
431	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
432	ELSEIF ( outflow_l ) THEN
433	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
434	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
435	IF ( humidity ) THEN
436	q_p(:,:,nxl-1) = q_p(:,:,nxl)
437	IF ( cloud_physics .AND. microphysics_seifert ) THEN
438	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
439	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
440	ENDIF
441	ENDIF
442	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
443	ELSEIF ( outflow_r ) THEN
444	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
445	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
446	IF ( humidity ) THEN
447	q_p(:,:,nxr+1) = q_p(:,:,nxr)
448	IF ( cloud_physics .AND. microphysics_seifert ) THEN
449	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
450	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
451	ENDIF
452	ENDIF
453	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
454	ENDIF
455
456	!
457	!-- Radiation boundary conditions for the velocities at the respective outflow.
458	!-- The phase velocity is either assumed to the maximum phase velocity that
459	!-- ensures numerical stability (CFL-condition) or calculated after
460	!-- Orlanski(1976) and averaged along the outflow boundary.
461	IF ( outflow_s ) THEN
462
463	IF ( use_cmax ) THEN
464	u_p(:,-1,:) = u(:,0,:)
465	v_p(:,0,:) = v(:,1,:)
466	w_p(:,-1,:) = w(:,0,:)
467	ELSEIF ( .NOT. use_cmax ) THEN
468
469	c_max = dy / dt_3d
470
471	c_u_m_l = 0.0_wp
472	c_v_m_l = 0.0_wp
473	c_w_m_l = 0.0_wp
474
475	c_u_m = 0.0_wp
476	c_v_m = 0.0_wp
477	c_w_m = 0.0_wp
478
479	!
480	!-- Calculate the phase speeds for u, v, and w, first local and then
481	!-- average along the outflow boundary.
482	DO k = nzb+1, nzt+1
483	DO i = nxl, nxr
484
485	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
486
487	IF ( denom /= 0.0_wp ) THEN
488	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
489	IF ( c_u(k,i) < 0.0_wp ) THEN
490	c_u(k,i) = 0.0_wp
491	ELSEIF ( c_u(k,i) > c_max ) THEN
492	c_u(k,i) = c_max
493	ENDIF
494	ELSE
495	c_u(k,i) = c_max
496	ENDIF
497
498	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
499
500	IF ( denom /= 0.0_wp ) THEN
501	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
502	IF ( c_v(k,i) < 0.0_wp ) THEN
503	c_v(k,i) = 0.0_wp
504	ELSEIF ( c_v(k,i) > c_max ) THEN
505	c_v(k,i) = c_max
506	ENDIF
507	ELSE
508	c_v(k,i) = c_max
509	ENDIF
510
511	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
512
513	IF ( denom /= 0.0_wp ) THEN
514	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
515	IF ( c_w(k,i) < 0.0_wp ) THEN
516	c_w(k,i) = 0.0_wp
517	ELSEIF ( c_w(k,i) > c_max ) THEN
518	c_w(k,i) = c_max
519	ENDIF
520	ELSE
521	c_w(k,i) = c_max
522	ENDIF
523
524	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
525	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
526	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
527
528	ENDDO
529	ENDDO
530
531	#if defined( __parallel )
532	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
533	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
534	MPI_SUM, comm1dx, ierr )
535	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
536	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
537	MPI_SUM, comm1dx, ierr )
538	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
539	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
540	MPI_SUM, comm1dx, ierr )
541	#else
542	c_u_m = c_u_m_l
543	c_v_m = c_v_m_l
544	c_w_m = c_w_m_l
545	#endif
546
547	c_u_m = c_u_m / (nx+1)
548	c_v_m = c_v_m / (nx+1)
549	c_w_m = c_w_m / (nx+1)
550
551	!
552	!-- Save old timelevels for the next timestep
553	IF ( intermediate_timestep_count == 1 ) THEN
554	u_m_s(:,:,:) = u(:,0:1,:)
555	v_m_s(:,:,:) = v(:,1:2,:)
556	w_m_s(:,:,:) = w(:,0:1,:)
557	ENDIF
558
559	!
560	!-- Calculate the new velocities
561	DO k = nzb+1, nzt+1
562	DO i = nxlg, nxrg
563	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
564	( u(k,-1,i) - u(k,0,i) ) * ddy
565
566	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
567	( v(k,0,i) - v(k,1,i) ) * ddy
568
569	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
570	( w(k,-1,i) - w(k,0,i) ) * ddy
571	ENDDO
572	ENDDO
573
574	!
575	!-- Bottom boundary at the outflow
576	IF ( ibc_uv_b == 0 ) THEN
577	u_p(nzb,-1,:) = 0.0_wp
578	v_p(nzb,0,:) = 0.0_wp
579	ELSE
580	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
581	v_p(nzb,0,:) = v_p(nzb+1,0,:)
582	ENDIF
583	w_p(nzb,-1,:) = 0.0_wp
584
585	!
586	!-- Top boundary at the outflow
587	IF ( ibc_uv_t == 0 ) THEN
588	u_p(nzt+1,-1,:) = u_init(nzt+1)
589	v_p(nzt+1,0,:) = v_init(nzt+1)
590	ELSE
591	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
592	v_p(nzt+1,0,:) = v_p(nzt,0,:)
593	ENDIF
594	w_p(nzt:nzt+1,-1,:) = 0.0_wp
595
596	ENDIF
597
598	ENDIF
599
600	IF ( outflow_n ) THEN
601
602	IF ( use_cmax ) THEN
603	u_p(:,ny+1,:) = u(:,ny,:)
604	v_p(:,ny+1,:) = v(:,ny,:)
605	w_p(:,ny+1,:) = w(:,ny,:)
606	ELSEIF ( .NOT. use_cmax ) THEN
607
608	c_max = dy / dt_3d
609
610	c_u_m_l = 0.0_wp
611	c_v_m_l = 0.0_wp
612	c_w_m_l = 0.0_wp
613
614	c_u_m = 0.0_wp
615	c_v_m = 0.0_wp
616	c_w_m = 0.0_wp
617
618	!
619	!-- Calculate the phase speeds for u, v, and w, first local and then
620	!-- average along the outflow boundary.
621	DO k = nzb+1, nzt+1
622	DO i = nxl, nxr
623
624	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
625
626	IF ( denom /= 0.0_wp ) THEN
627	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
628	IF ( c_u(k,i) < 0.0_wp ) THEN
629	c_u(k,i) = 0.0_wp
630	ELSEIF ( c_u(k,i) > c_max ) THEN
631	c_u(k,i) = c_max
632	ENDIF
633	ELSE
634	c_u(k,i) = c_max
635	ENDIF
636
637	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
638
639	IF ( denom /= 0.0_wp ) THEN
640	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
641	IF ( c_v(k,i) < 0.0_wp ) THEN
642	c_v(k,i) = 0.0_wp
643	ELSEIF ( c_v(k,i) > c_max ) THEN
644	c_v(k,i) = c_max
645	ENDIF
646	ELSE
647	c_v(k,i) = c_max
648	ENDIF
649
650	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
651
652	IF ( denom /= 0.0_wp ) THEN
653	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
654	IF ( c_w(k,i) < 0.0_wp ) THEN
655	c_w(k,i) = 0.0_wp
656	ELSEIF ( c_w(k,i) > c_max ) THEN
657	c_w(k,i) = c_max
658	ENDIF
659	ELSE
660	c_w(k,i) = c_max
661	ENDIF
662
663	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
664	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
665	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
666
667	ENDDO
668	ENDDO
669
670	#if defined( __parallel )
671	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
672	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
673	MPI_SUM, comm1dx, ierr )
674	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
675	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
676	MPI_SUM, comm1dx, ierr )
677	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
678	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
679	MPI_SUM, comm1dx, ierr )
680	#else
681	c_u_m = c_u_m_l
682	c_v_m = c_v_m_l
683	c_w_m = c_w_m_l
684	#endif
685
686	c_u_m = c_u_m / (nx+1)
687	c_v_m = c_v_m / (nx+1)
688	c_w_m = c_w_m / (nx+1)
689
690	!
691	!-- Save old timelevels for the next timestep
692	IF ( intermediate_timestep_count == 1 ) THEN
693	u_m_n(:,:,:) = u(:,ny-1:ny,:)
694	v_m_n(:,:,:) = v(:,ny-1:ny,:)
695	w_m_n(:,:,:) = w(:,ny-1:ny,:)
696	ENDIF
697
698	!
699	!-- Calculate the new velocities
700	DO k = nzb+1, nzt+1
701	DO i = nxlg, nxrg
702	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
703	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
704
705	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
706	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
707
708	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
709	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
710	ENDDO
711	ENDDO
712
713	!
714	!-- Bottom boundary at the outflow
715	IF ( ibc_uv_b == 0 ) THEN
716	u_p(nzb,ny+1,:) = 0.0_wp
717	v_p(nzb,ny+1,:) = 0.0_wp
718	ELSE
719	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
720	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
721	ENDIF
722	w_p(nzb,ny+1,:) = 0.0_wp
723
724	!
725	!-- Top boundary at the outflow
726	IF ( ibc_uv_t == 0 ) THEN
727	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
728	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
729	ELSE
730	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
731	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
732	ENDIF
733	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
734
735	ENDIF
736
737	ENDIF
738
739	IF ( outflow_l ) THEN
740
741	IF ( use_cmax ) THEN
742	u_p(:,:,0) = u(:,:,1)
743	v_p(:,:,-1) = v(:,:,0)
744	w_p(:,:,-1) = w(:,:,0)
745	ELSEIF ( .NOT. use_cmax ) THEN
746
747	c_max = dx / dt_3d
748
749	c_u_m_l = 0.0_wp
750	c_v_m_l = 0.0_wp
751	c_w_m_l = 0.0_wp
752
753	c_u_m = 0.0_wp
754	c_v_m = 0.0_wp
755	c_w_m = 0.0_wp
756
757	!
758	!-- Calculate the phase speeds for u, v, and w, first local and then
759	!-- average along the outflow boundary.
760	DO k = nzb+1, nzt+1
761	DO j = nys, nyn
762
763	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
764
765	IF ( denom /= 0.0_wp ) THEN
766	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
767	IF ( c_u(k,j) < 0.0_wp ) THEN
768	c_u(k,j) = 0.0_wp
769	ELSEIF ( c_u(k,j) > c_max ) THEN
770	c_u(k,j) = c_max
771	ENDIF
772	ELSE
773	c_u(k,j) = c_max
774	ENDIF
775
776	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
777
778	IF ( denom /= 0.0_wp ) THEN
779	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
780	IF ( c_v(k,j) < 0.0_wp ) THEN
781	c_v(k,j) = 0.0_wp
782	ELSEIF ( c_v(k,j) > c_max ) THEN
783	c_v(k,j) = c_max
784	ENDIF
785	ELSE
786	c_v(k,j) = c_max
787	ENDIF
788
789	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
790
791	IF ( denom /= 0.0_wp ) THEN
792	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
793	IF ( c_w(k,j) < 0.0_wp ) THEN
794	c_w(k,j) = 0.0_wp
795	ELSEIF ( c_w(k,j) > c_max ) THEN
796	c_w(k,j) = c_max
797	ENDIF
798	ELSE
799	c_w(k,j) = c_max
800	ENDIF
801
802	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
803	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
804	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
805
806	ENDDO
807	ENDDO
808
809	#if defined( __parallel )
810	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
811	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
812	MPI_SUM, comm1dy, ierr )
813	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
814	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
815	MPI_SUM, comm1dy, ierr )
816	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
817	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
818	MPI_SUM, comm1dy, ierr )
819	#else
820	c_u_m = c_u_m_l
821	c_v_m = c_v_m_l
822	c_w_m = c_w_m_l
823	#endif
824
825	c_u_m = c_u_m / (ny+1)
826	c_v_m = c_v_m / (ny+1)
827	c_w_m = c_w_m / (ny+1)
828
829	!
830	!-- Save old timelevels for the next timestep
831	IF ( intermediate_timestep_count == 1 ) THEN
832	u_m_l(:,:,:) = u(:,:,1:2)
833	v_m_l(:,:,:) = v(:,:,0:1)
834	w_m_l(:,:,:) = w(:,:,0:1)
835	ENDIF
836
837	!
838	!-- Calculate the new velocities
839	DO k = nzb+1, nzt+1
840	DO j = nysg, nyng
841	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
842	( u(k,j,0) - u(k,j,1) ) * ddx
843
844	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
845	( v(k,j,-1) - v(k,j,0) ) * ddx
846
847	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
848	( w(k,j,-1) - w(k,j,0) ) * ddx
849	ENDDO
850	ENDDO
851
852	!
853	!-- Bottom boundary at the outflow
854	IF ( ibc_uv_b == 0 ) THEN
855	u_p(nzb,:,0) = 0.0_wp
856	v_p(nzb,:,-1) = 0.0_wp
857	ELSE
858	u_p(nzb,:,0) = u_p(nzb+1,:,0)
859	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
860	ENDIF
861	w_p(nzb,:,-1) = 0.0_wp
862
863	!
864	!-- Top boundary at the outflow
865	IF ( ibc_uv_t == 0 ) THEN
866	u_p(nzt+1,:,0) = u_init(nzt+1)
867	v_p(nzt+1,:,-1) = v_init(nzt+1)
868	ELSE
869	u_p(nzt+1,:,0) = u_p(nzt,:,0)
870	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
871	ENDIF
872	w_p(nzt:nzt+1,:,-1) = 0.0_wp
873
874	ENDIF
875
876	ENDIF
877
878	IF ( outflow_r ) THEN
879
880	IF ( use_cmax ) THEN
881	u_p(:,:,nx+1) = u(:,:,nx)
882	v_p(:,:,nx+1) = v(:,:,nx)
883	w_p(:,:,nx+1) = w(:,:,nx)
884	ELSEIF ( .NOT. use_cmax ) THEN
885
886	c_max = dx / dt_3d
887
888	c_u_m_l = 0.0_wp
889	c_v_m_l = 0.0_wp
890	c_w_m_l = 0.0_wp
891
892	c_u_m = 0.0_wp
893	c_v_m = 0.0_wp
894	c_w_m = 0.0_wp
895
896	!
897	!-- Calculate the phase speeds for u, v, and w, first local and then
898	!-- average along the outflow boundary.
899	DO k = nzb+1, nzt+1
900	DO j = nys, nyn
901
902	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
903
904	IF ( denom /= 0.0_wp ) THEN
905	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
906	IF ( c_u(k,j) < 0.0_wp ) THEN
907	c_u(k,j) = 0.0_wp
908	ELSEIF ( c_u(k,j) > c_max ) THEN
909	c_u(k,j) = c_max
910	ENDIF
911	ELSE
912	c_u(k,j) = c_max
913	ENDIF
914
915	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
916
917	IF ( denom /= 0.0_wp ) THEN
918	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
919	IF ( c_v(k,j) < 0.0_wp ) THEN
920	c_v(k,j) = 0.0_wp
921	ELSEIF ( c_v(k,j) > c_max ) THEN
922	c_v(k,j) = c_max
923	ENDIF
924	ELSE
925	c_v(k,j) = c_max
926	ENDIF
927
928	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
929
930	IF ( denom /= 0.0_wp ) THEN
931	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
932	IF ( c_w(k,j) < 0.0_wp ) THEN
933	c_w(k,j) = 0.0_wp
934	ELSEIF ( c_w(k,j) > c_max ) THEN
935	c_w(k,j) = c_max
936	ENDIF
937	ELSE
938	c_w(k,j) = c_max
939	ENDIF
940
941	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
942	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
943	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
944
945	ENDDO
946	ENDDO
947
948	#if defined( __parallel )
949	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
950	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
951	MPI_SUM, comm1dy, ierr )
952	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
953	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
954	MPI_SUM, comm1dy, ierr )
955	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
956	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
957	MPI_SUM, comm1dy, ierr )
958	#else
959	c_u_m = c_u_m_l
960	c_v_m = c_v_m_l
961	c_w_m = c_w_m_l
962	#endif
963
964	c_u_m = c_u_m / (ny+1)
965	c_v_m = c_v_m / (ny+1)
966	c_w_m = c_w_m / (ny+1)
967
968	!
969	!-- Save old timelevels for the next timestep
970	IF ( intermediate_timestep_count == 1 ) THEN
971	u_m_r(:,:,:) = u(:,:,nx-1:nx)
972	v_m_r(:,:,:) = v(:,:,nx-1:nx)
973	w_m_r(:,:,:) = w(:,:,nx-1:nx)
974	ENDIF
975
976	!
977	!-- Calculate the new velocities
978	DO k = nzb+1, nzt+1
979	DO j = nysg, nyng
980	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
981	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
982
983	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
984	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
985
986	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
987	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
988	ENDDO
989	ENDDO
990
991	!
992	!-- Bottom boundary at the outflow
993	IF ( ibc_uv_b == 0 ) THEN
994	u_p(nzb,:,nx+1) = 0.0_wp
995	v_p(nzb,:,nx+1) = 0.0_wp
996	ELSE
997	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
998	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
999	ENDIF
1000	w_p(nzb,:,nx+1) = 0.0_wp
1001
1002	!
1003	!-- Top boundary at the outflow
1004	IF ( ibc_uv_t == 0 ) THEN
1005	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
1006	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
1007	ELSE
1008	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
1009	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
1010	ENDIF
1011	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
1012
1013	ENDIF
1014
1015	ENDIF
1016
1017	END SUBROUTINE boundary_conds

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