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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1763

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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 1997-2014 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: boundary_conds.f90 1763 2016-02-25 13:00:19Z hellstea $
26	!
27	! 1762 2016-02-25 12:31:13Z hellstea
28	! Introduction of nested domain feature
29	!
30	! 1742 2016-01-13 09:50:06Z raasch
31	! bugfix for outflow Neumann boundary conditions at bottom and top
32	!
33	! 1717 2015-11-11 15:09:47Z raasch
34	! Bugfix: index error in outflow conditions for left boundary
35	!
36	! 1682 2015-10-07 23:56:08Z knoop
37	! Code annotations made doxygen readable
38	!
39	! 1410 2014-05-23 12:16:18Z suehring
40	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
41	! top
42	!
43	! 1399 2014-05-07 11:16:25Z heinze
44	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
45	! is used.
46	!
47	! 1398 2014-05-07 11:15:00Z heinze
48	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
49	! for large_scale_forcing
50	!
51	! 1380 2014-04-28 12:40:45Z heinze
52	! Adjust Dirichlet-condition at the top for pt in case of nudging
53	!
54	! 1361 2014-04-16 15:17:48Z hoffmann
55	! Bottom and top boundary conditions of rain water content (qr) and
56	! rain drop concentration (nr) changed to Dirichlet
57	!
58	! 1353 2014-04-08 15:21:23Z heinze
59	! REAL constants provided with KIND-attribute
60	!
61	! 1320 2014-03-20 08:40:49Z raasch
62	! ONLY-attribute added to USE-statements,
63	! kind-parameters added to all INTEGER and REAL declaration statements,
64	! kinds are defined in new module kinds,
65	! revision history before 2012 removed,
66	! comment fields (!:) to be used for variable explanations added to
67	! all variable declaration statements
68	!
69	! 1257 2013-11-08 15:18:40Z raasch
70	! loop independent clauses added
71	!
72	! 1241 2013-10-30 11:36:58Z heinze
73	! Adjust ug and vg at each timestep in case of large_scale_forcing
74	!
75	! 1159 2013-05-21 11:58:22Z fricke
76	! Bugfix: Neumann boundary conditions for the velocity components at the
77	! outflow are in fact radiation boundary conditions using the maximum phase
78	! velocity that ensures numerical stability (CFL-condition).
79	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
80	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
81	! u_p, v_p, w_p
82	!
83	! 1115 2013-03-26 18:16:16Z hoffmann
84	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
85	! boundary-conditions
86	!
87	! 1113 2013-03-10 02:48:14Z raasch
88	! GPU-porting
89	! dummy argument "range" removed
90	! Bugfix: wrong index in loops of radiation boundary condition
91	!
92	! 1053 2012-11-13 17:11:03Z hoffmann
93	! boundary conditions for the two new prognostic equations (nr, qr) of the
94	! two-moment cloud scheme
95	!
96	! 1036 2012-10-22 13:43:42Z raasch
97	! code put under GPL (PALM 3.9)
98	!
99	! 996 2012-09-07 10:41:47Z raasch
100	! little reformatting
101	!
102	! 978 2012-08-09 08:28:32Z fricke
103	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
104	! Outflow boundary conditions for the velocity components can be set to Neumann
105	! conditions or to radiation conditions with a horizontal averaged phase
106	! velocity.
107	!
108	! 875 2012-04-02 15:35:15Z gryschka
109	! Bugfix in case of dirichlet inflow bc at the right or north boundary
110	!
111	! Revision 1.1 1997/09/12 06:21:34 raasch
112	! Initial revision
113	!
114	!
115	! Description:
116	! ------------
117	!> Boundary conditions for the prognostic quantities.
118	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
119	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
120	!> handled in routine exchange_horiz. Pressure boundary conditions are
121	!> explicitly set in routines pres, poisfft, poismg and sor.
122	!------------------------------------------------------------------------------!
123	SUBROUTINE boundary_conds
124
125
126	USE arrays_3d, &
127	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, &
128	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
129	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
130	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
131	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
132	pt_init
133
134	USE control_parameters, &
135	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
136	cloud_physics, dt_3d, humidity, &
137	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
138	ibc_uv_t, icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s,&
139	intermediate_timestep_count, large_scale_forcing, nest_domain, &
140	nest_bound_l, nest_bound_s, nudging, ocean, &
141	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
142	precipitation, tsc, use_cmax
143
144	USE grid_variables, &
145	ONLY: ddx, ddy, dx, dy
146
147	USE indices, &
148	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
149	nzb, nzb_s_inner, nzb_w_inner, nzt
150
151	USE kinds
152
153	USE pegrid
154
155
156	IMPLICIT NONE
157
158	INTEGER(iwp) :: i !<
159	INTEGER(iwp) :: j !<
160	INTEGER(iwp) :: k !<
161
162	REAL(wp) :: c_max !<
163	REAL(wp) :: denom !<
164
165
166	!
167	!-- Bottom boundary
168	IF ( ibc_uv_b == 1 ) THEN
169	!$acc kernels present( u_p, v_p )
170	u_p(nzb,:,:) = u_p(nzb+1,:,:)
171	v_p(nzb,:,:) = v_p(nzb+1,:,:)
172	!$acc end kernels
173	ENDIF
174
175	!$acc kernels present( nzb_w_inner, w_p )
176	DO i = nxlg, nxrg
177	DO j = nysg, nyng
178	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
179	ENDDO
180	ENDDO
181	!$acc end kernels
182
183	!
184	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
185	IF ( ibc_uv_t == 0 ) THEN
186	!$acc kernels present( u_init, u_p, v_init, v_p )
187	u_p(nzt+1,:,:) = u_init(nzt+1)
188	v_p(nzt+1,:,:) = v_init(nzt+1)
189	!$acc end kernels
190	ELSEIF ( ibc_uv_t == 1 ) THEN
191	!$acc kernels present( u_p, v_p )
192	u_p(nzt+1,:,:) = u_p(nzt,:,:)
193	v_p(nzt+1,:,:) = v_p(nzt,:,:)
194	!$acc end kernels
195	ENDIF
196
197	IF ( .NOT. nest_domain ) THEN
198	!$acc kernels present( w_p )
199	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
200	!$acc end kernels
201	ENDIF
202
203	!
204	!-- Temperature at bottom boundary.
205	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
206	!-- the sea surface temperature of the coupled ocean model.
207	IF ( ibc_pt_b == 0 ) THEN
208	!$acc kernels present( nzb_s_inner, pt, pt_p )
209	!$acc loop independent
210	DO i = nxlg, nxrg
211	!$acc loop independent
212	DO j = nysg, nyng
213	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
214	ENDDO
215	ENDDO
216	!$acc end kernels
217	ELSEIF ( ibc_pt_b == 1 ) THEN
218	!$acc kernels present( nzb_s_inner, pt_p )
219	!$acc loop independent
220	DO i = nxlg, nxrg
221	!$acc loop independent
222	DO j = nysg, nyng
223	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
224	ENDDO
225	ENDDO
226	!$acc end kernels
227	ENDIF
228
229	!
230	!-- Temperature at top boundary
231	IF ( ibc_pt_t == 0 ) THEN
232	!$acc kernels present( pt, pt_p )
233	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
234	!
235	!-- In case of nudging adjust top boundary to pt which is
236	!-- read in from NUDGING-DATA
237	IF ( nudging ) THEN
238	pt_p(nzt+1,:,:) = pt_init(nzt+1)
239	ENDIF
240	!$acc end kernels
241	ELSEIF ( ibc_pt_t == 1 ) THEN
242	!$acc kernels present( pt_p )
243	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
244	!$acc end kernels
245	ELSEIF ( ibc_pt_t == 2 ) THEN
246	!$acc kernels present( dzu, pt_p )
247	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
248	!$acc end kernels
249	ENDIF
250
251	!
252	!-- Boundary conditions for TKE
253	!-- Generally Neumann conditions with de/dz=0 are assumed
254	IF ( .NOT. constant_diffusion ) THEN
255	!$acc kernels present( e_p, nzb_s_inner )
256	!$acc loop independent
257	DO i = nxlg, nxrg
258	!$acc loop independent
259	DO j = nysg, nyng
260	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
261	ENDDO
262	ENDDO
263	IF ( .NOT. nest_domain ) THEN
264	e_p(nzt+1,:,:) = e_p(nzt,:,:)
265	ENDIF
266	!$acc end kernels
267	ENDIF
268
269	!
270	!-- Boundary conditions for salinity
271	IF ( ocean ) THEN
272	!
273	!-- Bottom boundary: Neumann condition because salinity flux is always
274	!-- given
275	DO i = nxlg, nxrg
276	DO j = nysg, nyng
277	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
278	ENDDO
279	ENDDO
280
281	!
282	!-- Top boundary: Dirichlet or Neumann
283	IF ( ibc_sa_t == 0 ) THEN
284	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
285	ELSEIF ( ibc_sa_t == 1 ) THEN
286	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
287	ENDIF
288
289	ENDIF
290
291	!
292	!-- Boundary conditions for total water content or scalar,
293	!-- bottom and top boundary (see also temperature)
294	IF ( humidity .OR. passive_scalar ) THEN
295	!
296	!-- Surface conditions for constant_humidity_flux
297	IF ( ibc_q_b == 0 ) THEN
298	DO i = nxlg, nxrg
299	DO j = nysg, nyng
300	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
301	ENDDO
302	ENDDO
303	ELSE
304	DO i = nxlg, nxrg
305	DO j = nysg, nyng
306	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
307	ENDDO
308	ENDDO
309	ENDIF
310	!
311	!-- Top boundary
312	IF ( ibc_q_t == 0 ) THEN
313	q_p(nzt+1,:,:) = q(nzt+1,:,:)
314	ELSEIF ( ibc_q_t == 1 ) THEN
315	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
316	ENDIF
317
318	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
319	!
320	!-- Surface conditions rain water (Dirichlet)
321	DO i = nxlg, nxrg
322	DO j = nysg, nyng
323	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
324	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
325	ENDDO
326	ENDDO
327	!
328	!-- Top boundary condition for rain water (Dirichlet)
329	qr_p(nzt+1,:,:) = 0.0_wp
330	nr_p(nzt+1,:,:) = 0.0_wp
331
332	ENDIF
333	ENDIF
334	!
335	!-- In case of inflow or nest boundary at the south boundary the boundary for v
336	!-- is at nys and in case of inflow or nest boundary at the left boundary the
337	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
338	!-- version) these levels are handled as a prognostic level, boundary values
339	!-- have to be restored here.
340	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
341	IF ( inflow_s ) THEN
342	v_p(:,nys,:) = v_p(:,nys-1,:)
343	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
344	ELSEIF ( inflow_n ) THEN
345	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
346	ELSEIF ( inflow_l ) THEN
347	u_p(:,:,nxl) = u_p(:,:,nxl-1)
348	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
349	ELSEIF ( inflow_r ) THEN
350	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
351	ENDIF
352
353	!
354	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
355	!-- in case of nest boundaries. Note however, that the above ELSEIF-structure is
356	!-- not appropriate here as there may be more than one nest boundary on a
357	!-- PE-domain. Furthermore Neumann conditions for SGS-TKE are not required here.
358	IF ( nest_bound_s ) THEN
359	v_p(:,nys,:) = v_p(:,nys-1,:)
360	ENDIF
361	IF ( nest_bound_l ) THEN
362	u_p(:,:,nxl) = u_p(:,:,nxl-1)
363	ENDIF
364
365	!
366	!-- Lateral boundary conditions for scalar quantities at the outflow
367	IF ( outflow_s ) THEN
368	pt_p(:,nys-1,:) = pt_p(:,nys,:)
369	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
370	IF ( humidity .OR. passive_scalar ) THEN
371	q_p(:,nys-1,:) = q_p(:,nys,:)
372	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
373	precipitation) THEN
374	qr_p(:,nys-1,:) = qr_p(:,nys,:)
375	nr_p(:,nys-1,:) = nr_p(:,nys,:)
376	ENDIF
377	ENDIF
378	ELSEIF ( outflow_n ) THEN
379	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
380	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
381	IF ( humidity .OR. passive_scalar ) THEN
382	q_p(:,nyn+1,:) = q_p(:,nyn,:)
383	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
384	precipitation ) THEN
385	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
386	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
387	ENDIF
388	ENDIF
389	ELSEIF ( outflow_l ) THEN
390	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
391	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
392	IF ( humidity .OR. passive_scalar ) THEN
393	q_p(:,:,nxl-1) = q_p(:,:,nxl)
394	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
395	precipitation ) 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. icloud_scheme == 0 .AND. precipitation ) 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,:,-1) = u_init(nzt+1)
823	v_p(nzt+1,:,-1) = v_init(nzt+1)
824	ELSE
825	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
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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