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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1822

Last change on this file since 1822 was 1822, checked in by hoffmann, 8 years ago
changes in LPM and bulk cloud microphysics
Property svn:keywords set to `Id`
File size: 32.3 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	! icloud_scheme removed. microphyisics_seifert added.
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: boundary_conds.f90 1822 2016-04-07 07:49:42Z hoffmann $
26	!
27	! 1764 2016-02-28 12:45:19Z raasch
28	! index bug for u_p at left outflow removed
29	!
30	! 1762 2016-02-25 12:31:13Z hellstea
31	! Introduction of nested domain feature
32	!
33	! 1742 2016-01-13 09:50:06Z raasch
34	! bugfix for outflow Neumann boundary conditions at bottom and top
35	!
36	! 1717 2015-11-11 15:09:47Z raasch
37	! Bugfix: index error in outflow conditions for left boundary
38	!
39	! 1682 2015-10-07 23:56:08Z knoop
40	! Code annotations made doxygen readable
41	!
42	! 1410 2014-05-23 12:16:18Z suehring
43	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
44	! top
45	!
46	! 1399 2014-05-07 11:16:25Z heinze
47	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
48	! is used.
49	!
50	! 1398 2014-05-07 11:15:00Z heinze
51	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
52	! for large_scale_forcing
53	!
54	! 1380 2014-04-28 12:40:45Z heinze
55	! Adjust Dirichlet-condition at the top for pt in case of nudging
56	!
57	! 1361 2014-04-16 15:17:48Z hoffmann
58	! Bottom and top boundary conditions of rain water content (qr) and
59	! rain drop concentration (nr) changed to Dirichlet
60	!
61	! 1353 2014-04-08 15:21:23Z heinze
62	! REAL constants provided with KIND-attribute
63	!
64	! 1320 2014-03-20 08:40:49Z raasch
65	! ONLY-attribute added to USE-statements,
66	! kind-parameters added to all INTEGER and REAL declaration statements,
67	! kinds are defined in new module kinds,
68	! revision history before 2012 removed,
69	! comment fields (!:) to be used for variable explanations added to
70	! all variable declaration statements
71	!
72	! 1257 2013-11-08 15:18:40Z raasch
73	! loop independent clauses added
74	!
75	! 1241 2013-10-30 11:36:58Z heinze
76	! Adjust ug and vg at each timestep in case of large_scale_forcing
77	!
78	! 1159 2013-05-21 11:58:22Z fricke
79	! Bugfix: Neumann boundary conditions for the velocity components at the
80	! outflow are in fact radiation boundary conditions using the maximum phase
81	! velocity that ensures numerical stability (CFL-condition).
82	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
83	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
84	! u_p, v_p, w_p
85	!
86	! 1115 2013-03-26 18:16:16Z hoffmann
87	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
88	! boundary-conditions
89	!
90	! 1113 2013-03-10 02:48:14Z raasch
91	! GPU-porting
92	! dummy argument "range" removed
93	! Bugfix: wrong index in loops of radiation boundary condition
94	!
95	! 1053 2012-11-13 17:11:03Z hoffmann
96	! boundary conditions for the two new prognostic equations (nr, qr) of the
97	! two-moment cloud scheme
98	!
99	! 1036 2012-10-22 13:43:42Z raasch
100	! code put under GPL (PALM 3.9)
101	!
102	! 996 2012-09-07 10:41:47Z raasch
103	! little reformatting
104	!
105	! 978 2012-08-09 08:28:32Z fricke
106	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
107	! Outflow boundary conditions for the velocity components can be set to Neumann
108	! conditions or to radiation conditions with a horizontal averaged phase
109	! velocity.
110	!
111	! 875 2012-04-02 15:35:15Z gryschka
112	! Bugfix in case of dirichlet inflow bc at the right or north boundary
113	!
114	! Revision 1.1 1997/09/12 06:21:34 raasch
115	! Initial revision
116	!
117	!
118	! Description:
119	! ------------
120	!> Boundary conditions for the prognostic quantities.
121	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
122	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
123	!> handled in routine exchange_horiz. Pressure boundary conditions are
124	!> explicitly set in routines pres, poisfft, poismg and sor.
125	!------------------------------------------------------------------------------!
126	SUBROUTINE boundary_conds
127
128
129	USE arrays_3d, &
130	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, &
131	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
132	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
133	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
134	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
135	pt_init
136
137	USE control_parameters, &
138	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
139	cloud_physics, dt_3d, humidity, &
140	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
141	ibc_uv_t, inflow_l, inflow_n, inflow_r, inflow_s, &
142	intermediate_timestep_count, large_scale_forcing, &
143	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
144	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
145	passive_scalar, tsc, use_cmax
146
147	USE grid_variables, &
148	ONLY: ddx, ddy, dx, dy
149
150	USE indices, &
151	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
152	nzb, nzb_s_inner, nzb_w_inner, nzt
153
154	USE kinds
155
156	USE pegrid
157
158
159	IMPLICIT NONE
160
161	INTEGER(iwp) :: i !<
162	INTEGER(iwp) :: j !<
163	INTEGER(iwp) :: k !<
164
165	REAL(wp) :: c_max !<
166	REAL(wp) :: denom !<
167
168
169	!
170	!-- Bottom boundary
171	IF ( ibc_uv_b == 1 ) THEN
172	!$acc kernels present( u_p, v_p )
173	u_p(nzb,:,:) = u_p(nzb+1,:,:)
174	v_p(nzb,:,:) = v_p(nzb+1,:,:)
175	!$acc end kernels
176	ENDIF
177
178	!$acc kernels present( nzb_w_inner, w_p )
179	DO i = nxlg, nxrg
180	DO j = nysg, nyng
181	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
182	ENDDO
183	ENDDO
184	!$acc end kernels
185
186	!
187	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
188	IF ( ibc_uv_t == 0 ) THEN
189	!$acc kernels present( u_init, u_p, v_init, v_p )
190	u_p(nzt+1,:,:) = u_init(nzt+1)
191	v_p(nzt+1,:,:) = v_init(nzt+1)
192	!$acc end kernels
193	ELSEIF ( ibc_uv_t == 1 ) THEN
194	!$acc kernels present( u_p, v_p )
195	u_p(nzt+1,:,:) = u_p(nzt,:,:)
196	v_p(nzt+1,:,:) = v_p(nzt,:,:)
197	!$acc end kernels
198	ENDIF
199
200	IF ( .NOT. nest_domain ) THEN
201	!$acc kernels present( w_p )
202	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
203	!$acc end kernels
204	ENDIF
205
206	!
207	!-- Temperature at bottom boundary.
208	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
209	!-- the sea surface temperature of the coupled ocean model.
210	IF ( ibc_pt_b == 0 ) THEN
211	!$acc kernels present( nzb_s_inner, pt, pt_p )
212	!$acc loop independent
213	DO i = nxlg, nxrg
214	!$acc loop independent
215	DO j = nysg, nyng
216	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
217	ENDDO
218	ENDDO
219	!$acc end kernels
220	ELSEIF ( ibc_pt_b == 1 ) THEN
221	!$acc kernels present( nzb_s_inner, pt_p )
222	!$acc loop independent
223	DO i = nxlg, nxrg
224	!$acc loop independent
225	DO j = nysg, nyng
226	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
227	ENDDO
228	ENDDO
229	!$acc end kernels
230	ENDIF
231
232	!
233	!-- Temperature at top boundary
234	IF ( ibc_pt_t == 0 ) THEN
235	!$acc kernels present( pt, pt_p )
236	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
237	!
238	!-- In case of nudging adjust top boundary to pt which is
239	!-- read in from NUDGING-DATA
240	IF ( nudging ) THEN
241	pt_p(nzt+1,:,:) = pt_init(nzt+1)
242	ENDIF
243	!$acc end kernels
244	ELSEIF ( ibc_pt_t == 1 ) THEN
245	!$acc kernels present( pt_p )
246	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
247	!$acc end kernels
248	ELSEIF ( ibc_pt_t == 2 ) THEN
249	!$acc kernels present( dzu, pt_p )
250	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
251	!$acc end kernels
252	ENDIF
253
254	!
255	!-- Boundary conditions for TKE
256	!-- Generally Neumann conditions with de/dz=0 are assumed
257	IF ( .NOT. constant_diffusion ) THEN
258	!$acc kernels present( e_p, nzb_s_inner )
259	!$acc loop independent
260	DO i = nxlg, nxrg
261	!$acc loop independent
262	DO j = nysg, nyng
263	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
264	ENDDO
265	ENDDO
266	IF ( .NOT. nest_domain ) THEN
267	e_p(nzt+1,:,:) = e_p(nzt,:,:)
268	ENDIF
269	!$acc end kernels
270	ENDIF
271
272	!
273	!-- Boundary conditions for salinity
274	IF ( ocean ) THEN
275	!
276	!-- Bottom boundary: Neumann condition because salinity flux is always
277	!-- given
278	DO i = nxlg, nxrg
279	DO j = nysg, nyng
280	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
281	ENDDO
282	ENDDO
283
284	!
285	!-- Top boundary: Dirichlet or Neumann
286	IF ( ibc_sa_t == 0 ) THEN
287	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
288	ELSEIF ( ibc_sa_t == 1 ) THEN
289	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
290	ENDIF
291
292	ENDIF
293
294	!
295	!-- Boundary conditions for total water content or scalar,
296	!-- bottom and top boundary (see also temperature)
297	IF ( humidity .OR. passive_scalar ) THEN
298	!
299	!-- Surface conditions for constant_humidity_flux
300	IF ( ibc_q_b == 0 ) THEN
301	DO i = nxlg, nxrg
302	DO j = nysg, nyng
303	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
304	ENDDO
305	ENDDO
306	ELSE
307	DO i = nxlg, nxrg
308	DO j = nysg, nyng
309	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
310	ENDDO
311	ENDDO
312	ENDIF
313	!
314	!-- Top boundary
315	IF ( ibc_q_t == 0 ) THEN
316	q_p(nzt+1,:,:) = q(nzt+1,:,:)
317	ELSEIF ( ibc_q_t == 1 ) THEN
318	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
319	ENDIF
320
321	IF ( cloud_physics .AND. microphysics_seifert ) THEN
322	!
323	!-- Surface conditions rain water (Dirichlet)
324	DO i = nxlg, nxrg
325	DO j = nysg, nyng
326	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
327	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
328	ENDDO
329	ENDDO
330	!
331	!-- Top boundary condition for rain water (Dirichlet)
332	qr_p(nzt+1,:,:) = 0.0_wp
333	nr_p(nzt+1,:,:) = 0.0_wp
334
335	ENDIF
336	ENDIF
337	!
338	!-- In case of inflow or nest boundary at the south boundary the boundary for v
339	!-- is at nys and in case of inflow or nest boundary at the left boundary the
340	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
341	!-- version) these levels are handled as a prognostic level, boundary values
342	!-- have to be restored here.
343	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
344	IF ( inflow_s ) THEN
345	v_p(:,nys,:) = v_p(:,nys-1,:)
346	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
347	ELSEIF ( inflow_n ) THEN
348	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
349	ELSEIF ( inflow_l ) THEN
350	u_p(:,:,nxl) = u_p(:,:,nxl-1)
351	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
352	ELSEIF ( inflow_r ) THEN
353	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
354	ENDIF
355
356	!
357	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
358	!-- in case of nest boundaries. Note however, that the above ELSEIF-structure is
359	!-- not appropriate here as there may be more than one nest boundary on a
360	!-- PE-domain. Furthermore Neumann conditions for SGS-TKE are not required here.
361	IF ( nest_bound_s ) THEN
362	v_p(:,nys,:) = v_p(:,nys-1,:)
363	ENDIF
364	IF ( nest_bound_l ) THEN
365	u_p(:,:,nxl) = u_p(:,:,nxl-1)
366	ENDIF
367
368	!
369	!-- Lateral boundary conditions for scalar quantities at the outflow
370	IF ( outflow_s ) THEN
371	pt_p(:,nys-1,:) = pt_p(:,nys,:)
372	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
373	IF ( humidity .OR. passive_scalar ) THEN
374	q_p(:,nys-1,:) = q_p(:,nys,:)
375	IF ( cloud_physics .AND. microphysics_seifert ) THEN
376	qr_p(:,nys-1,:) = qr_p(:,nys,:)
377	nr_p(:,nys-1,:) = nr_p(:,nys,:)
378	ENDIF
379	ENDIF
380	ELSEIF ( outflow_n ) THEN
381	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
382	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
383	IF ( humidity .OR. passive_scalar ) THEN
384	q_p(:,nyn+1,:) = q_p(:,nyn,:)
385	IF ( cloud_physics .AND. microphysics_seifert ) THEN
386	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
387	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
388	ENDIF
389	ENDIF
390	ELSEIF ( outflow_l ) THEN
391	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
392	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
393	IF ( humidity .OR. passive_scalar ) THEN
394	q_p(:,:,nxl-1) = q_p(:,:,nxl)
395	IF ( cloud_physics .AND. microphysics_seifert ) THEN
396	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
397	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
398	ENDIF
399	ENDIF
400	ELSEIF ( outflow_r ) THEN
401	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
402	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
403	IF ( humidity .OR. passive_scalar ) THEN
404	q_p(:,:,nxr+1) = q_p(:,:,nxr)
405	IF ( cloud_physics .AND. microphysics_seifert ) THEN
406	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
407	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
408	ENDIF
409	ENDIF
410	ENDIF
411
412	!
413	!-- Radiation boundary conditions for the velocities at the respective outflow.
414	!-- The phase velocity is either assumed to the maximum phase velocity that
415	!-- ensures numerical stability (CFL-condition) or calculated after
416	!-- Orlanski(1976) and averaged along the outflow boundary.
417	IF ( outflow_s ) THEN
418
419	IF ( use_cmax ) THEN
420	u_p(:,-1,:) = u(:,0,:)
421	v_p(:,0,:) = v(:,1,:)
422	w_p(:,-1,:) = w(:,0,:)
423	ELSEIF ( .NOT. use_cmax ) THEN
424
425	c_max = dy / dt_3d
426
427	c_u_m_l = 0.0_wp
428	c_v_m_l = 0.0_wp
429	c_w_m_l = 0.0_wp
430
431	c_u_m = 0.0_wp
432	c_v_m = 0.0_wp
433	c_w_m = 0.0_wp
434
435	!
436	!-- Calculate the phase speeds for u, v, and w, first local and then
437	!-- average along the outflow boundary.
438	DO k = nzb+1, nzt+1
439	DO i = nxl, nxr
440
441	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
442
443	IF ( denom /= 0.0_wp ) THEN
444	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
445	IF ( c_u(k,i) < 0.0_wp ) THEN
446	c_u(k,i) = 0.0_wp
447	ELSEIF ( c_u(k,i) > c_max ) THEN
448	c_u(k,i) = c_max
449	ENDIF
450	ELSE
451	c_u(k,i) = c_max
452	ENDIF
453
454	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
455
456	IF ( denom /= 0.0_wp ) THEN
457	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
458	IF ( c_v(k,i) < 0.0_wp ) THEN
459	c_v(k,i) = 0.0_wp
460	ELSEIF ( c_v(k,i) > c_max ) THEN
461	c_v(k,i) = c_max
462	ENDIF
463	ELSE
464	c_v(k,i) = c_max
465	ENDIF
466
467	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
468
469	IF ( denom /= 0.0_wp ) THEN
470	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
471	IF ( c_w(k,i) < 0.0_wp ) THEN
472	c_w(k,i) = 0.0_wp
473	ELSEIF ( c_w(k,i) > c_max ) THEN
474	c_w(k,i) = c_max
475	ENDIF
476	ELSE
477	c_w(k,i) = c_max
478	ENDIF
479
480	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
481	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
482	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
483
484	ENDDO
485	ENDDO
486
487	#if defined( __parallel )
488	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
489	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
490	MPI_SUM, comm1dx, ierr )
491	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
492	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
493	MPI_SUM, comm1dx, ierr )
494	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
495	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
496	MPI_SUM, comm1dx, ierr )
497	#else
498	c_u_m = c_u_m_l
499	c_v_m = c_v_m_l
500	c_w_m = c_w_m_l
501	#endif
502
503	c_u_m = c_u_m / (nx+1)
504	c_v_m = c_v_m / (nx+1)
505	c_w_m = c_w_m / (nx+1)
506
507	!
508	!-- Save old timelevels for the next timestep
509	IF ( intermediate_timestep_count == 1 ) THEN
510	u_m_s(:,:,:) = u(:,0:1,:)
511	v_m_s(:,:,:) = v(:,1:2,:)
512	w_m_s(:,:,:) = w(:,0:1,:)
513	ENDIF
514
515	!
516	!-- Calculate the new velocities
517	DO k = nzb+1, nzt+1
518	DO i = nxlg, nxrg
519	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
520	( u(k,-1,i) - u(k,0,i) ) * ddy
521
522	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
523	( v(k,0,i) - v(k,1,i) ) * ddy
524
525	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
526	( w(k,-1,i) - w(k,0,i) ) * ddy
527	ENDDO
528	ENDDO
529
530	!
531	!-- Bottom boundary at the outflow
532	IF ( ibc_uv_b == 0 ) THEN
533	u_p(nzb,-1,:) = 0.0_wp
534	v_p(nzb,0,:) = 0.0_wp
535	ELSE
536	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
537	v_p(nzb,0,:) = v_p(nzb+1,0,:)
538	ENDIF
539	w_p(nzb,-1,:) = 0.0_wp
540
541	!
542	!-- Top boundary at the outflow
543	IF ( ibc_uv_t == 0 ) THEN
544	u_p(nzt+1,-1,:) = u_init(nzt+1)
545	v_p(nzt+1,0,:) = v_init(nzt+1)
546	ELSE
547	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
548	v_p(nzt+1,0,:) = v_p(nzt,0,:)
549	ENDIF
550	w_p(nzt:nzt+1,-1,:) = 0.0_wp
551
552	ENDIF
553
554	ENDIF
555
556	IF ( outflow_n ) THEN
557
558	IF ( use_cmax ) THEN
559	u_p(:,ny+1,:) = u(:,ny,:)
560	v_p(:,ny+1,:) = v(:,ny,:)
561	w_p(:,ny+1,:) = w(:,ny,:)
562	ELSEIF ( .NOT. use_cmax ) THEN
563
564	c_max = dy / dt_3d
565
566	c_u_m_l = 0.0_wp
567	c_v_m_l = 0.0_wp
568	c_w_m_l = 0.0_wp
569
570	c_u_m = 0.0_wp
571	c_v_m = 0.0_wp
572	c_w_m = 0.0_wp
573
574	!
575	!-- Calculate the phase speeds for u, v, and w, first local and then
576	!-- average along the outflow boundary.
577	DO k = nzb+1, nzt+1
578	DO i = nxl, nxr
579
580	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
581
582	IF ( denom /= 0.0_wp ) THEN
583	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
584	IF ( c_u(k,i) < 0.0_wp ) THEN
585	c_u(k,i) = 0.0_wp
586	ELSEIF ( c_u(k,i) > c_max ) THEN
587	c_u(k,i) = c_max
588	ENDIF
589	ELSE
590	c_u(k,i) = c_max
591	ENDIF
592
593	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
594
595	IF ( denom /= 0.0_wp ) THEN
596	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
597	IF ( c_v(k,i) < 0.0_wp ) THEN
598	c_v(k,i) = 0.0_wp
599	ELSEIF ( c_v(k,i) > c_max ) THEN
600	c_v(k,i) = c_max
601	ENDIF
602	ELSE
603	c_v(k,i) = c_max
604	ENDIF
605
606	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
607
608	IF ( denom /= 0.0_wp ) THEN
609	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
610	IF ( c_w(k,i) < 0.0_wp ) THEN
611	c_w(k,i) = 0.0_wp
612	ELSEIF ( c_w(k,i) > c_max ) THEN
613	c_w(k,i) = c_max
614	ENDIF
615	ELSE
616	c_w(k,i) = c_max
617	ENDIF
618
619	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
620	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
621	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
622
623	ENDDO
624	ENDDO
625
626	#if defined( __parallel )
627	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
628	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
629	MPI_SUM, comm1dx, ierr )
630	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
631	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
632	MPI_SUM, comm1dx, ierr )
633	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
634	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
635	MPI_SUM, comm1dx, ierr )
636	#else
637	c_u_m = c_u_m_l
638	c_v_m = c_v_m_l
639	c_w_m = c_w_m_l
640	#endif
641
642	c_u_m = c_u_m / (nx+1)
643	c_v_m = c_v_m / (nx+1)
644	c_w_m = c_w_m / (nx+1)
645
646	!
647	!-- Save old timelevels for the next timestep
648	IF ( intermediate_timestep_count == 1 ) THEN
649	u_m_n(:,:,:) = u(:,ny-1:ny,:)
650	v_m_n(:,:,:) = v(:,ny-1:ny,:)
651	w_m_n(:,:,:) = w(:,ny-1:ny,:)
652	ENDIF
653
654	!
655	!-- Calculate the new velocities
656	DO k = nzb+1, nzt+1
657	DO i = nxlg, nxrg
658	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
659	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
660
661	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
662	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
663
664	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
665	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
666	ENDDO
667	ENDDO
668
669	!
670	!-- Bottom boundary at the outflow
671	IF ( ibc_uv_b == 0 ) THEN
672	u_p(nzb,ny+1,:) = 0.0_wp
673	v_p(nzb,ny+1,:) = 0.0_wp
674	ELSE
675	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
676	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
677	ENDIF
678	w_p(nzb,ny+1,:) = 0.0_wp
679
680	!
681	!-- Top boundary at the outflow
682	IF ( ibc_uv_t == 0 ) THEN
683	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
684	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
685	ELSE
686	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
687	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
688	ENDIF
689	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
690
691	ENDIF
692
693	ENDIF
694
695	IF ( outflow_l ) THEN
696
697	IF ( use_cmax ) THEN
698	u_p(:,:,0) = u(:,:,1)
699	v_p(:,:,-1) = v(:,:,0)
700	w_p(:,:,-1) = w(:,:,0)
701	ELSEIF ( .NOT. use_cmax ) THEN
702
703	c_max = dx / dt_3d
704
705	c_u_m_l = 0.0_wp
706	c_v_m_l = 0.0_wp
707	c_w_m_l = 0.0_wp
708
709	c_u_m = 0.0_wp
710	c_v_m = 0.0_wp
711	c_w_m = 0.0_wp
712
713	!
714	!-- Calculate the phase speeds for u, v, and w, first local and then
715	!-- average along the outflow boundary.
716	DO k = nzb+1, nzt+1
717	DO j = nys, nyn
718
719	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
720
721	IF ( denom /= 0.0_wp ) THEN
722	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
723	IF ( c_u(k,j) < 0.0_wp ) THEN
724	c_u(k,j) = 0.0_wp
725	ELSEIF ( c_u(k,j) > c_max ) THEN
726	c_u(k,j) = c_max
727	ENDIF
728	ELSE
729	c_u(k,j) = c_max
730	ENDIF
731
732	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
733
734	IF ( denom /= 0.0_wp ) THEN
735	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
736	IF ( c_v(k,j) < 0.0_wp ) THEN
737	c_v(k,j) = 0.0_wp
738	ELSEIF ( c_v(k,j) > c_max ) THEN
739	c_v(k,j) = c_max
740	ENDIF
741	ELSE
742	c_v(k,j) = c_max
743	ENDIF
744
745	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
746
747	IF ( denom /= 0.0_wp ) THEN
748	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
749	IF ( c_w(k,j) < 0.0_wp ) THEN
750	c_w(k,j) = 0.0_wp
751	ELSEIF ( c_w(k,j) > c_max ) THEN
752	c_w(k,j) = c_max
753	ENDIF
754	ELSE
755	c_w(k,j) = c_max
756	ENDIF
757
758	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
759	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
760	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
761
762	ENDDO
763	ENDDO
764
765	#if defined( __parallel )
766	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
767	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
768	MPI_SUM, comm1dy, ierr )
769	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
770	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
771	MPI_SUM, comm1dy, ierr )
772	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
773	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
774	MPI_SUM, comm1dy, ierr )
775	#else
776	c_u_m = c_u_m_l
777	c_v_m = c_v_m_l
778	c_w_m = c_w_m_l
779	#endif
780
781	c_u_m = c_u_m / (ny+1)
782	c_v_m = c_v_m / (ny+1)
783	c_w_m = c_w_m / (ny+1)
784
785	!
786	!-- Save old timelevels for the next timestep
787	IF ( intermediate_timestep_count == 1 ) THEN
788	u_m_l(:,:,:) = u(:,:,1:2)
789	v_m_l(:,:,:) = v(:,:,0:1)
790	w_m_l(:,:,:) = w(:,:,0:1)
791	ENDIF
792
793	!
794	!-- Calculate the new velocities
795	DO k = nzb+1, nzt+1
796	DO j = nysg, nyng
797	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
798	( u(k,j,0) - u(k,j,1) ) * ddx
799
800	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
801	( v(k,j,-1) - v(k,j,0) ) * ddx
802
803	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
804	( w(k,j,-1) - w(k,j,0) ) * ddx
805	ENDDO
806	ENDDO
807
808	!
809	!-- Bottom boundary at the outflow
810	IF ( ibc_uv_b == 0 ) THEN
811	u_p(nzb,:,0) = 0.0_wp
812	v_p(nzb,:,-1) = 0.0_wp
813	ELSE
814	u_p(nzb,:,0) = u_p(nzb+1,:,0)
815	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
816	ENDIF
817	w_p(nzb,:,-1) = 0.0_wp
818
819	!
820	!-- Top boundary at the outflow
821	IF ( ibc_uv_t == 0 ) THEN
822	u_p(nzt+1,:,0) = u_init(nzt+1)
823	v_p(nzt+1,:,-1) = v_init(nzt+1)
824	ELSE
825	u_p(nzt+1,:,0) = u_p(nzt,:,0)
826	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
827	ENDIF
828	w_p(nzt:nzt+1,:,-1) = 0.0_wp
829
830	ENDIF
831
832	ENDIF
833
834	IF ( outflow_r ) THEN
835
836	IF ( use_cmax ) THEN
837	u_p(:,:,nx+1) = u(:,:,nx)
838	v_p(:,:,nx+1) = v(:,:,nx)
839	w_p(:,:,nx+1) = w(:,:,nx)
840	ELSEIF ( .NOT. use_cmax ) THEN
841
842	c_max = dx / dt_3d
843
844	c_u_m_l = 0.0_wp
845	c_v_m_l = 0.0_wp
846	c_w_m_l = 0.0_wp
847
848	c_u_m = 0.0_wp
849	c_v_m = 0.0_wp
850	c_w_m = 0.0_wp
851
852	!
853	!-- Calculate the phase speeds for u, v, and w, first local and then
854	!-- average along the outflow boundary.
855	DO k = nzb+1, nzt+1
856	DO j = nys, nyn
857
858	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
859
860	IF ( denom /= 0.0_wp ) THEN
861	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
862	IF ( c_u(k,j) < 0.0_wp ) THEN
863	c_u(k,j) = 0.0_wp
864	ELSEIF ( c_u(k,j) > c_max ) THEN
865	c_u(k,j) = c_max
866	ENDIF
867	ELSE
868	c_u(k,j) = c_max
869	ENDIF
870
871	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
872
873	IF ( denom /= 0.0_wp ) THEN
874	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
875	IF ( c_v(k,j) < 0.0_wp ) THEN
876	c_v(k,j) = 0.0_wp
877	ELSEIF ( c_v(k,j) > c_max ) THEN
878	c_v(k,j) = c_max
879	ENDIF
880	ELSE
881	c_v(k,j) = c_max
882	ENDIF
883
884	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
885
886	IF ( denom /= 0.0_wp ) THEN
887	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
888	IF ( c_w(k,j) < 0.0_wp ) THEN
889	c_w(k,j) = 0.0_wp
890	ELSEIF ( c_w(k,j) > c_max ) THEN
891	c_w(k,j) = c_max
892	ENDIF
893	ELSE
894	c_w(k,j) = c_max
895	ENDIF
896
897	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
898	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
899	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
900
901	ENDDO
902	ENDDO
903
904	#if defined( __parallel )
905	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
906	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
907	MPI_SUM, comm1dy, ierr )
908	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
909	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
910	MPI_SUM, comm1dy, ierr )
911	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
912	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
913	MPI_SUM, comm1dy, ierr )
914	#else
915	c_u_m = c_u_m_l
916	c_v_m = c_v_m_l
917	c_w_m = c_w_m_l
918	#endif
919
920	c_u_m = c_u_m / (ny+1)
921	c_v_m = c_v_m / (ny+1)
922	c_w_m = c_w_m / (ny+1)
923
924	!
925	!-- Save old timelevels for the next timestep
926	IF ( intermediate_timestep_count == 1 ) THEN
927	u_m_r(:,:,:) = u(:,:,nx-1:nx)
928	v_m_r(:,:,:) = v(:,:,nx-1:nx)
929	w_m_r(:,:,:) = w(:,:,nx-1:nx)
930	ENDIF
931
932	!
933	!-- Calculate the new velocities
934	DO k = nzb+1, nzt+1
935	DO j = nysg, nyng
936	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
937	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
938
939	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
940	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
941
942	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
943	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
944	ENDDO
945	ENDDO
946
947	!
948	!-- Bottom boundary at the outflow
949	IF ( ibc_uv_b == 0 ) THEN
950	u_p(nzb,:,nx+1) = 0.0_wp
951	v_p(nzb,:,nx+1) = 0.0_wp
952	ELSE
953	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
954	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
955	ENDIF
956	w_p(nzb,:,nx+1) = 0.0_wp
957
958	!
959	!-- Top boundary at the outflow
960	IF ( ibc_uv_t == 0 ) THEN
961	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
962	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
963	ELSE
964	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
965	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
966	ENDIF
967	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
968
969	ENDIF
970
971	ENDIF
972
973	END SUBROUTINE boundary_conds

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