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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1960

Last change on this file since 1960 was 1960, checked in by suehring, 8 years ago
Separate balance equations for humidity and passive_scalar
Property svn:keywords set to `Id`
File size: 33.5 KB

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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	! Treat humidity and passive scalar separately
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: boundary_conds.f90 1960 2016-07-12 16:34:24Z suehring $
26	!
27	! 1823 2016-04-07 08:57:52Z hoffmann
28	! Initial version of purely vertical nesting introduced.
29	!
30	! 1822 2016-04-07 07:49:42Z hoffmann
31	! icloud_scheme removed. microphyisics_seifert added.
32	!
33	! 1764 2016-02-28 12:45:19Z raasch
34	! index bug for u_p at left outflow removed
35	!
36	! 1762 2016-02-25 12:31:13Z hellstea
37	! Introduction of nested domain feature
38	!
39	! 1742 2016-01-13 09:50:06Z raasch
40	! bugfix for outflow Neumann boundary conditions at bottom and top
41	!
42	! 1717 2015-11-11 15:09:47Z raasch
43	! Bugfix: index error in outflow conditions for left boundary
44	!
45	! 1682 2015-10-07 23:56:08Z knoop
46	! Code annotations made doxygen readable
47	!
48	! 1410 2014-05-23 12:16:18Z suehring
49	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
50	! top
51	!
52	! 1399 2014-05-07 11:16:25Z heinze
53	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
54	! is used.
55	!
56	! 1398 2014-05-07 11:15:00Z heinze
57	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
58	! for large_scale_forcing
59	!
60	! 1380 2014-04-28 12:40:45Z heinze
61	! Adjust Dirichlet-condition at the top for pt in case of nudging
62	!
63	! 1361 2014-04-16 15:17:48Z hoffmann
64	! Bottom and top boundary conditions of rain water content (qr) and
65	! rain drop concentration (nr) changed to Dirichlet
66	!
67	! 1353 2014-04-08 15:21:23Z heinze
68	! REAL constants provided with KIND-attribute
69	!
70	! 1320 2014-03-20 08:40:49Z raasch
71	! ONLY-attribute added to USE-statements,
72	! kind-parameters added to all INTEGER and REAL declaration statements,
73	! kinds are defined in new module kinds,
74	! revision history before 2012 removed,
75	! comment fields (!:) to be used for variable explanations added to
76	! all variable declaration statements
77	!
78	! 1257 2013-11-08 15:18:40Z raasch
79	! loop independent clauses added
80	!
81	! 1241 2013-10-30 11:36:58Z heinze
82	! Adjust ug and vg at each timestep in case of large_scale_forcing
83	!
84	! 1159 2013-05-21 11:58:22Z fricke
85	! Bugfix: Neumann boundary conditions for the velocity components at the
86	! outflow are in fact radiation boundary conditions using the maximum phase
87	! velocity that ensures numerical stability (CFL-condition).
88	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
89	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
90	! u_p, v_p, w_p
91	!
92	! 1115 2013-03-26 18:16:16Z hoffmann
93	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
94	! boundary-conditions
95	!
96	! 1113 2013-03-10 02:48:14Z raasch
97	! GPU-porting
98	! dummy argument "range" removed
99	! Bugfix: wrong index in loops of radiation boundary condition
100	!
101	! 1053 2012-11-13 17:11:03Z hoffmann
102	! boundary conditions for the two new prognostic equations (nr, qr) of the
103	! two-moment cloud scheme
104	!
105	! 1036 2012-10-22 13:43:42Z raasch
106	! code put under GPL (PALM 3.9)
107	!
108	! 996 2012-09-07 10:41:47Z raasch
109	! little reformatting
110	!
111	! 978 2012-08-09 08:28:32Z fricke
112	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
113	! Outflow boundary conditions for the velocity components can be set to Neumann
114	! conditions or to radiation conditions with a horizontal averaged phase
115	! velocity.
116	!
117	! 875 2012-04-02 15:35:15Z gryschka
118	! Bugfix in case of dirichlet inflow bc at the right or north boundary
119	!
120	! Revision 1.1 1997/09/12 06:21:34 raasch
121	! Initial revision
122	!
123	!
124	! Description:
125	! ------------
126	!> Boundary conditions for the prognostic quantities.
127	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
128	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
129	!> handled in routine exchange_horiz. Pressure boundary conditions are
130	!> explicitly set in routines pres, poisfft, poismg and sor.
131	!------------------------------------------------------------------------------!
132	SUBROUTINE boundary_conds
133
134
135	USE arrays_3d, &
136	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, &
137	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
138	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
139	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
140	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
141
142	USE control_parameters, &
143	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
144	cloud_physics, dt_3d, humidity, &
145	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
146	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
147	inflow_s, intermediate_timestep_count, large_scale_forcing, &
148	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
149	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
150	passive_scalar, tsc, use_cmax
151
152	USE grid_variables, &
153	ONLY: ddx, ddy, dx, dy
154
155	USE indices, &
156	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
157	nzb, nzb_s_inner, nzb_w_inner, nzt
158
159	USE kinds
160
161	USE pegrid
162
163	USE pmc_interface, &
164	ONLY : nesting_mode
165
166
167	IMPLICIT NONE
168
169	INTEGER(iwp) :: i !<
170	INTEGER(iwp) :: j !<
171	INTEGER(iwp) :: k !<
172
173	REAL(wp) :: c_max !<
174	REAL(wp) :: denom !<
175
176
177	!
178	!-- Bottom boundary
179	IF ( ibc_uv_b == 1 ) THEN
180	!$acc kernels present( u_p, v_p )
181	u_p(nzb,:,:) = u_p(nzb+1,:,:)
182	v_p(nzb,:,:) = v_p(nzb+1,:,:)
183	!$acc end kernels
184	ENDIF
185
186	!$acc kernels present( nzb_w_inner, w_p )
187	DO i = nxlg, nxrg
188	DO j = nysg, nyng
189	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
190	ENDDO
191	ENDDO
192	!$acc end kernels
193
194	!
195	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
196	IF ( ibc_uv_t == 0 ) THEN
197	!$acc kernels present( u_init, u_p, v_init, v_p )
198	u_p(nzt+1,:,:) = u_init(nzt+1)
199	v_p(nzt+1,:,:) = v_init(nzt+1)
200	!$acc end kernels
201	ELSEIF ( ibc_uv_t == 1 ) THEN
202	!$acc kernels present( u_p, v_p )
203	u_p(nzt+1,:,:) = u_p(nzt,:,:)
204	v_p(nzt+1,:,:) = v_p(nzt,:,:)
205	!$acc end kernels
206	ENDIF
207
208	IF ( .NOT. nest_domain ) THEN
209	!$acc kernels present( w_p )
210	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
211	!$acc end kernels
212	ENDIF
213
214	!
215	!-- Temperature at bottom boundary.
216	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
217	!-- the sea surface temperature of the coupled ocean model.
218	IF ( ibc_pt_b == 0 ) THEN
219	!$acc kernels present( nzb_s_inner, pt, pt_p )
220	!$acc loop independent
221	DO i = nxlg, nxrg
222	!$acc loop independent
223	DO j = nysg, nyng
224	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
225	ENDDO
226	ENDDO
227	!$acc end kernels
228	ELSEIF ( ibc_pt_b == 1 ) THEN
229	!$acc kernels present( nzb_s_inner, pt_p )
230	!$acc loop independent
231	DO i = nxlg, nxrg
232	!$acc loop independent
233	DO j = nysg, nyng
234	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
235	ENDDO
236	ENDDO
237	!$acc end kernels
238	ENDIF
239
240	!
241	!-- Temperature at top boundary
242	IF ( ibc_pt_t == 0 ) THEN
243	!$acc kernels present( pt, pt_p )
244	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
245	!
246	!-- In case of nudging adjust top boundary to pt which is
247	!-- read in from NUDGING-DATA
248	IF ( nudging ) THEN
249	pt_p(nzt+1,:,:) = pt_init(nzt+1)
250	ENDIF
251	!$acc end kernels
252	ELSEIF ( ibc_pt_t == 1 ) THEN
253	!$acc kernels present( pt_p )
254	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
255	!$acc end kernels
256	ELSEIF ( ibc_pt_t == 2 ) THEN
257	!$acc kernels present( dzu, pt_p )
258	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
259	!$acc end kernels
260	ENDIF
261
262	!
263	!-- Boundary conditions for TKE
264	!-- Generally Neumann conditions with de/dz=0 are assumed
265	IF ( .NOT. constant_diffusion ) THEN
266	!$acc kernels present( e_p, nzb_s_inner )
267	!$acc loop independent
268	DO i = nxlg, nxrg
269	!$acc loop independent
270	DO j = nysg, nyng
271	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
272	ENDDO
273	ENDDO
274	IF ( .NOT. nest_domain ) THEN
275	e_p(nzt+1,:,:) = e_p(nzt,:,:)
276	ENDIF
277	!$acc end kernels
278	ENDIF
279
280	!
281	!-- Boundary conditions for salinity
282	IF ( ocean ) THEN
283	!
284	!-- Bottom boundary: Neumann condition because salinity flux is always
285	!-- given
286	DO i = nxlg, nxrg
287	DO j = nysg, nyng
288	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
289	ENDDO
290	ENDDO
291
292	!
293	!-- Top boundary: Dirichlet or Neumann
294	IF ( ibc_sa_t == 0 ) THEN
295	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
296	ELSEIF ( ibc_sa_t == 1 ) THEN
297	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
298	ENDIF
299
300	ENDIF
301
302	!
303	!-- Boundary conditions for total water content,
304	!-- bottom and top boundary (see also temperature)
305	IF ( humidity ) THEN
306	!
307	!-- Surface conditions for constant_humidity_flux
308	IF ( ibc_q_b == 0 ) THEN
309	DO i = nxlg, nxrg
310	DO j = nysg, nyng
311	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
312	ENDDO
313	ENDDO
314	ELSE
315	DO i = nxlg, nxrg
316	DO j = nysg, nyng
317	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
318	ENDDO
319	ENDDO
320	ENDIF
321	!
322	!-- Top boundary
323	IF ( ibc_q_t == 0 ) THEN
324	q_p(nzt+1,:,:) = q(nzt+1,:,:)
325	ELSEIF ( ibc_q_t == 1 ) THEN
326	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
327	ENDIF
328
329	IF ( cloud_physics .AND. microphysics_seifert ) THEN
330	!
331	!-- Surface conditions rain water (Dirichlet)
332	DO i = nxlg, nxrg
333	DO j = nysg, nyng
334	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
335	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
336	ENDDO
337	ENDDO
338	!
339	!-- Top boundary condition for rain water (Dirichlet)
340	qr_p(nzt+1,:,:) = 0.0_wp
341	nr_p(nzt+1,:,:) = 0.0_wp
342
343	ENDIF
344	ENDIF
345	!
346	!-- Boundary conditions for scalar,
347	!-- bottom and top boundary (see also temperature)
348	IF ( passive_scalar ) THEN
349	!
350	!-- Surface conditions for constant_humidity_flux
351	IF ( ibc_s_b == 0 ) THEN
352	DO i = nxlg, nxrg
353	DO j = nysg, nyng
354	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
355	ENDDO
356	ENDDO
357	ELSE
358	DO i = nxlg, nxrg
359	DO j = nysg, nyng
360	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
361	ENDDO
362	ENDDO
363	ENDIF
364	!
365	!-- Top boundary
366	IF ( ibc_s_t == 0 ) THEN
367	s_p(nzt+1,:,:) = s(nzt+1,:,:)
368	ELSEIF ( ibc_s_t == 1 ) THEN
369	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
370	ENDIF
371
372	ENDIF
373	!
374	!-- In case of inflow or nest boundary at the south boundary the boundary for v
375	!-- is at nys and in case of inflow or nest boundary at the left boundary the
376	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
377	!-- version) these levels are handled as a prognostic level, boundary values
378	!-- have to be restored here.
379	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
380	IF ( inflow_s ) THEN
381	v_p(:,nys,:) = v_p(:,nys-1,:)
382	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
383	ELSEIF ( inflow_n ) THEN
384	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
385	ELSEIF ( inflow_l ) THEN
386	u_p(:,:,nxl) = u_p(:,:,nxl-1)
387	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
388	ELSEIF ( inflow_r ) THEN
389	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
390	ENDIF
391
392	!
393	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
394	!-- in case of nest boundaries. This must not be done in case of vertical nesting
395	!-- mode as in that case the lateral boundaries are actually cyclic.
396	IF ( nesting_mode /= 'vertical' ) THEN
397	IF ( nest_bound_s ) THEN
398	v_p(:,nys,:) = v_p(:,nys-1,:)
399	ENDIF
400	IF ( nest_bound_l ) THEN
401	u_p(:,:,nxl) = u_p(:,:,nxl-1)
402	ENDIF
403	ENDIF
404
405	!
406	!-- Lateral boundary conditions for scalar quantities at the outflow
407	IF ( outflow_s ) THEN
408	pt_p(:,nys-1,:) = pt_p(:,nys,:)
409	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
410	IF ( humidity ) THEN
411	q_p(:,nys-1,:) = q_p(:,nys,:)
412	IF ( cloud_physics .AND. microphysics_seifert ) THEN
413	qr_p(:,nys-1,:) = qr_p(:,nys,:)
414	nr_p(:,nys-1,:) = nr_p(:,nys,:)
415	ENDIF
416	ENDIF
417	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
418	ELSEIF ( outflow_n ) THEN
419	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
420	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
421	IF ( humidity ) THEN
422	q_p(:,nyn+1,:) = q_p(:,nyn,:)
423	IF ( cloud_physics .AND. microphysics_seifert ) THEN
424	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
425	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
426	ENDIF
427	ENDIF
428	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
429	ELSEIF ( outflow_l ) THEN
430	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
431	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
432	IF ( humidity ) THEN
433	q_p(:,:,nxl-1) = q_p(:,:,nxl)
434	IF ( cloud_physics .AND. microphysics_seifert ) THEN
435	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
436	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
437	ENDIF
438	ENDIF
439	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
440	ELSEIF ( outflow_r ) THEN
441	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
442	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
443	IF ( humidity ) THEN
444	q_p(:,:,nxr+1) = q_p(:,:,nxr)
445	IF ( cloud_physics .AND. microphysics_seifert ) THEN
446	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
447	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
448	ENDIF
449	ENDIF
450	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
451	ENDIF
452
453	!
454	!-- Radiation boundary conditions for the velocities at the respective outflow.
455	!-- The phase velocity is either assumed to the maximum phase velocity that
456	!-- ensures numerical stability (CFL-condition) or calculated after
457	!-- Orlanski(1976) and averaged along the outflow boundary.
458	IF ( outflow_s ) THEN
459
460	IF ( use_cmax ) THEN
461	u_p(:,-1,:) = u(:,0,:)
462	v_p(:,0,:) = v(:,1,:)
463	w_p(:,-1,:) = w(:,0,:)
464	ELSEIF ( .NOT. use_cmax ) THEN
465
466	c_max = dy / dt_3d
467
468	c_u_m_l = 0.0_wp
469	c_v_m_l = 0.0_wp
470	c_w_m_l = 0.0_wp
471
472	c_u_m = 0.0_wp
473	c_v_m = 0.0_wp
474	c_w_m = 0.0_wp
475
476	!
477	!-- Calculate the phase speeds for u, v, and w, first local and then
478	!-- average along the outflow boundary.
479	DO k = nzb+1, nzt+1
480	DO i = nxl, nxr
481
482	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
483
484	IF ( denom /= 0.0_wp ) THEN
485	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
486	IF ( c_u(k,i) < 0.0_wp ) THEN
487	c_u(k,i) = 0.0_wp
488	ELSEIF ( c_u(k,i) > c_max ) THEN
489	c_u(k,i) = c_max
490	ENDIF
491	ELSE
492	c_u(k,i) = c_max
493	ENDIF
494
495	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
496
497	IF ( denom /= 0.0_wp ) THEN
498	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
499	IF ( c_v(k,i) < 0.0_wp ) THEN
500	c_v(k,i) = 0.0_wp
501	ELSEIF ( c_v(k,i) > c_max ) THEN
502	c_v(k,i) = c_max
503	ENDIF
504	ELSE
505	c_v(k,i) = c_max
506	ENDIF
507
508	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
509
510	IF ( denom /= 0.0_wp ) THEN
511	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
512	IF ( c_w(k,i) < 0.0_wp ) THEN
513	c_w(k,i) = 0.0_wp
514	ELSEIF ( c_w(k,i) > c_max ) THEN
515	c_w(k,i) = c_max
516	ENDIF
517	ELSE
518	c_w(k,i) = c_max
519	ENDIF
520
521	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
522	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
523	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
524
525	ENDDO
526	ENDDO
527
528	#if defined( __parallel )
529	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
530	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
531	MPI_SUM, comm1dx, ierr )
532	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
533	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
537	MPI_SUM, comm1dx, ierr )
538	#else
539	c_u_m = c_u_m_l
540	c_v_m = c_v_m_l
541	c_w_m = c_w_m_l
542	#endif
543
544	c_u_m = c_u_m / (nx+1)
545	c_v_m = c_v_m / (nx+1)
546	c_w_m = c_w_m / (nx+1)
547
548	!
549	!-- Save old timelevels for the next timestep
550	IF ( intermediate_timestep_count == 1 ) THEN
551	u_m_s(:,:,:) = u(:,0:1,:)
552	v_m_s(:,:,:) = v(:,1:2,:)
553	w_m_s(:,:,:) = w(:,0:1,:)
554	ENDIF
555
556	!
557	!-- Calculate the new velocities
558	DO k = nzb+1, nzt+1
559	DO i = nxlg, nxrg
560	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
561	( u(k,-1,i) - u(k,0,i) ) * ddy
562
563	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
564	( v(k,0,i) - v(k,1,i) ) * ddy
565
566	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
567	( w(k,-1,i) - w(k,0,i) ) * ddy
568	ENDDO
569	ENDDO
570
571	!
572	!-- Bottom boundary at the outflow
573	IF ( ibc_uv_b == 0 ) THEN
574	u_p(nzb,-1,:) = 0.0_wp
575	v_p(nzb,0,:) = 0.0_wp
576	ELSE
577	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
578	v_p(nzb,0,:) = v_p(nzb+1,0,:)
579	ENDIF
580	w_p(nzb,-1,:) = 0.0_wp
581
582	!
583	!-- Top boundary at the outflow
584	IF ( ibc_uv_t == 0 ) THEN
585	u_p(nzt+1,-1,:) = u_init(nzt+1)
586	v_p(nzt+1,0,:) = v_init(nzt+1)
587	ELSE
588	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
589	v_p(nzt+1,0,:) = v_p(nzt,0,:)
590	ENDIF
591	w_p(nzt:nzt+1,-1,:) = 0.0_wp
592
593	ENDIF
594
595	ENDIF
596
597	IF ( outflow_n ) THEN
598
599	IF ( use_cmax ) THEN
600	u_p(:,ny+1,:) = u(:,ny,:)
601	v_p(:,ny+1,:) = v(:,ny,:)
602	w_p(:,ny+1,:) = w(:,ny,:)
603	ELSEIF ( .NOT. use_cmax ) THEN
604
605	c_max = dy / dt_3d
606
607	c_u_m_l = 0.0_wp
608	c_v_m_l = 0.0_wp
609	c_w_m_l = 0.0_wp
610
611	c_u_m = 0.0_wp
612	c_v_m = 0.0_wp
613	c_w_m = 0.0_wp
614
615	!
616	!-- Calculate the phase speeds for u, v, and w, first local and then
617	!-- average along the outflow boundary.
618	DO k = nzb+1, nzt+1
619	DO i = nxl, nxr
620
621	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
622
623	IF ( denom /= 0.0_wp ) THEN
624	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
625	IF ( c_u(k,i) < 0.0_wp ) THEN
626	c_u(k,i) = 0.0_wp
627	ELSEIF ( c_u(k,i) > c_max ) THEN
628	c_u(k,i) = c_max
629	ENDIF
630	ELSE
631	c_u(k,i) = c_max
632	ENDIF
633
634	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
635
636	IF ( denom /= 0.0_wp ) THEN
637	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
638	IF ( c_v(k,i) < 0.0_wp ) THEN
639	c_v(k,i) = 0.0_wp
640	ELSEIF ( c_v(k,i) > c_max ) THEN
641	c_v(k,i) = c_max
642	ENDIF
643	ELSE
644	c_v(k,i) = c_max
645	ENDIF
646
647	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
648
649	IF ( denom /= 0.0_wp ) THEN
650	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
651	IF ( c_w(k,i) < 0.0_wp ) THEN
652	c_w(k,i) = 0.0_wp
653	ELSEIF ( c_w(k,i) > c_max ) THEN
654	c_w(k,i) = c_max
655	ENDIF
656	ELSE
657	c_w(k,i) = c_max
658	ENDIF
659
660	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
661	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
662	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
663
664	ENDDO
665	ENDDO
666
667	#if defined( __parallel )
668	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
669	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
670	MPI_SUM, comm1dx, ierr )
671	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
672	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
676	MPI_SUM, comm1dx, ierr )
677	#else
678	c_u_m = c_u_m_l
679	c_v_m = c_v_m_l
680	c_w_m = c_w_m_l
681	#endif
682
683	c_u_m = c_u_m / (nx+1)
684	c_v_m = c_v_m / (nx+1)
685	c_w_m = c_w_m / (nx+1)
686
687	!
688	!-- Save old timelevels for the next timestep
689	IF ( intermediate_timestep_count == 1 ) THEN
690	u_m_n(:,:,:) = u(:,ny-1:ny,:)
691	v_m_n(:,:,:) = v(:,ny-1:ny,:)
692	w_m_n(:,:,:) = w(:,ny-1:ny,:)
693	ENDIF
694
695	!
696	!-- Calculate the new velocities
697	DO k = nzb+1, nzt+1
698	DO i = nxlg, nxrg
699	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
700	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
701
702	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
703	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
704
705	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
706	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
707	ENDDO
708	ENDDO
709
710	!
711	!-- Bottom boundary at the outflow
712	IF ( ibc_uv_b == 0 ) THEN
713	u_p(nzb,ny+1,:) = 0.0_wp
714	v_p(nzb,ny+1,:) = 0.0_wp
715	ELSE
716	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
717	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
718	ENDIF
719	w_p(nzb,ny+1,:) = 0.0_wp
720
721	!
722	!-- Top boundary at the outflow
723	IF ( ibc_uv_t == 0 ) THEN
724	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
725	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
726	ELSE
727	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
728	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
729	ENDIF
730	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
731
732	ENDIF
733
734	ENDIF
735
736	IF ( outflow_l ) THEN
737
738	IF ( use_cmax ) THEN
739	u_p(:,:,0) = u(:,:,1)
740	v_p(:,:,-1) = v(:,:,0)
741	w_p(:,:,-1) = w(:,:,0)
742	ELSEIF ( .NOT. use_cmax ) THEN
743
744	c_max = dx / dt_3d
745
746	c_u_m_l = 0.0_wp
747	c_v_m_l = 0.0_wp
748	c_w_m_l = 0.0_wp
749
750	c_u_m = 0.0_wp
751	c_v_m = 0.0_wp
752	c_w_m = 0.0_wp
753
754	!
755	!-- Calculate the phase speeds for u, v, and w, first local and then
756	!-- average along the outflow boundary.
757	DO k = nzb+1, nzt+1
758	DO j = nys, nyn
759
760	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
761
762	IF ( denom /= 0.0_wp ) THEN
763	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
764	IF ( c_u(k,j) < 0.0_wp ) THEN
765	c_u(k,j) = 0.0_wp
766	ELSEIF ( c_u(k,j) > c_max ) THEN
767	c_u(k,j) = c_max
768	ENDIF
769	ELSE
770	c_u(k,j) = c_max
771	ENDIF
772
773	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
774
775	IF ( denom /= 0.0_wp ) THEN
776	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
777	IF ( c_v(k,j) < 0.0_wp ) THEN
778	c_v(k,j) = 0.0_wp
779	ELSEIF ( c_v(k,j) > c_max ) THEN
780	c_v(k,j) = c_max
781	ENDIF
782	ELSE
783	c_v(k,j) = c_max
784	ENDIF
785
786	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
787
788	IF ( denom /= 0.0_wp ) THEN
789	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
790	IF ( c_w(k,j) < 0.0_wp ) THEN
791	c_w(k,j) = 0.0_wp
792	ELSEIF ( c_w(k,j) > c_max ) THEN
793	c_w(k,j) = c_max
794	ENDIF
795	ELSE
796	c_w(k,j) = c_max
797	ENDIF
798
799	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
800	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
801	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
802
803	ENDDO
804	ENDDO
805
806	#if defined( __parallel )
807	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
808	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
809	MPI_SUM, comm1dy, ierr )
810	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
811	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
815	MPI_SUM, comm1dy, ierr )
816	#else
817	c_u_m = c_u_m_l
818	c_v_m = c_v_m_l
819	c_w_m = c_w_m_l
820	#endif
821
822	c_u_m = c_u_m / (ny+1)
823	c_v_m = c_v_m / (ny+1)
824	c_w_m = c_w_m / (ny+1)
825
826	!
827	!-- Save old timelevels for the next timestep
828	IF ( intermediate_timestep_count == 1 ) THEN
829	u_m_l(:,:,:) = u(:,:,1:2)
830	v_m_l(:,:,:) = v(:,:,0:1)
831	w_m_l(:,:,:) = w(:,:,0:1)
832	ENDIF
833
834	!
835	!-- Calculate the new velocities
836	DO k = nzb+1, nzt+1
837	DO j = nysg, nyng
838	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
839	( u(k,j,0) - u(k,j,1) ) * ddx
840
841	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
842	( v(k,j,-1) - v(k,j,0) ) * ddx
843
844	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
845	( w(k,j,-1) - w(k,j,0) ) * ddx
846	ENDDO
847	ENDDO
848
849	!
850	!-- Bottom boundary at the outflow
851	IF ( ibc_uv_b == 0 ) THEN
852	u_p(nzb,:,0) = 0.0_wp
853	v_p(nzb,:,-1) = 0.0_wp
854	ELSE
855	u_p(nzb,:,0) = u_p(nzb+1,:,0)
856	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
857	ENDIF
858	w_p(nzb,:,-1) = 0.0_wp
859
860	!
861	!-- Top boundary at the outflow
862	IF ( ibc_uv_t == 0 ) THEN
863	u_p(nzt+1,:,0) = u_init(nzt+1)
864	v_p(nzt+1,:,-1) = v_init(nzt+1)
865	ELSE
866	u_p(nzt+1,:,0) = u_p(nzt,:,0)
867	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
868	ENDIF
869	w_p(nzt:nzt+1,:,-1) = 0.0_wp
870
871	ENDIF
872
873	ENDIF
874
875	IF ( outflow_r ) THEN
876
877	IF ( use_cmax ) THEN
878	u_p(:,:,nx+1) = u(:,:,nx)
879	v_p(:,:,nx+1) = v(:,:,nx)
880	w_p(:,:,nx+1) = w(:,:,nx)
881	ELSEIF ( .NOT. use_cmax ) THEN
882
883	c_max = dx / dt_3d
884
885	c_u_m_l = 0.0_wp
886	c_v_m_l = 0.0_wp
887	c_w_m_l = 0.0_wp
888
889	c_u_m = 0.0_wp
890	c_v_m = 0.0_wp
891	c_w_m = 0.0_wp
892
893	!
894	!-- Calculate the phase speeds for u, v, and w, first local and then
895	!-- average along the outflow boundary.
896	DO k = nzb+1, nzt+1
897	DO j = nys, nyn
898
899	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
900
901	IF ( denom /= 0.0_wp ) THEN
902	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
903	IF ( c_u(k,j) < 0.0_wp ) THEN
904	c_u(k,j) = 0.0_wp
905	ELSEIF ( c_u(k,j) > c_max ) THEN
906	c_u(k,j) = c_max
907	ENDIF
908	ELSE
909	c_u(k,j) = c_max
910	ENDIF
911
912	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
913
914	IF ( denom /= 0.0_wp ) THEN
915	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
916	IF ( c_v(k,j) < 0.0_wp ) THEN
917	c_v(k,j) = 0.0_wp
918	ELSEIF ( c_v(k,j) > c_max ) THEN
919	c_v(k,j) = c_max
920	ENDIF
921	ELSE
922	c_v(k,j) = c_max
923	ENDIF
924
925	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
926
927	IF ( denom /= 0.0_wp ) THEN
928	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
929	IF ( c_w(k,j) < 0.0_wp ) THEN
930	c_w(k,j) = 0.0_wp
931	ELSEIF ( c_w(k,j) > c_max ) THEN
932	c_w(k,j) = c_max
933	ENDIF
934	ELSE
935	c_w(k,j) = c_max
936	ENDIF
937
938	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
939	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
940	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
941
942	ENDDO
943	ENDDO
944
945	#if defined( __parallel )
946	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
947	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
948	MPI_SUM, comm1dy, ierr )
949	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
950	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
954	MPI_SUM, comm1dy, ierr )
955	#else
956	c_u_m = c_u_m_l
957	c_v_m = c_v_m_l
958	c_w_m = c_w_m_l
959	#endif
960
961	c_u_m = c_u_m / (ny+1)
962	c_v_m = c_v_m / (ny+1)
963	c_w_m = c_w_m / (ny+1)
964
965	!
966	!-- Save old timelevels for the next timestep
967	IF ( intermediate_timestep_count == 1 ) THEN
968	u_m_r(:,:,:) = u(:,:,nx-1:nx)
969	v_m_r(:,:,:) = v(:,:,nx-1:nx)
970	w_m_r(:,:,:) = w(:,:,nx-1:nx)
971	ENDIF
972
973	!
974	!-- Calculate the new velocities
975	DO k = nzb+1, nzt+1
976	DO j = nysg, nyng
977	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
978	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
979
980	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
981	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
982
983	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
984	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
985	ENDDO
986	ENDDO
987
988	!
989	!-- Bottom boundary at the outflow
990	IF ( ibc_uv_b == 0 ) THEN
991	u_p(nzb,:,nx+1) = 0.0_wp
992	v_p(nzb,:,nx+1) = 0.0_wp
993	ELSE
994	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
995	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
996	ENDIF
997	w_p(nzb,:,nx+1) = 0.0_wp
998
999	!
1000	!-- Top boundary at the outflow
1001	IF ( ibc_uv_t == 0 ) THEN
1002	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
1003	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
1004	ELSE
1005	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
1006	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
1007	ENDIF
1008	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
1009
1010	ENDIF
1011
1012	ENDIF
1013
1014	END SUBROUTINE boundary_conds

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