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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2118

Last change on this file since 2118 was 2118, checked in by raasch, 7 years ago
all OpenACC directives and related parts removed from the code
Property svn:keywords set to `Id`
File size: 32.9 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
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	! OpenACC directives removed
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 2118 2017-01-17 16:38:49Z raasch $
27	!
28	! 2000 2016-08-20 18:09:15Z knoop
29	! Forced header and separation lines into 80 columns
30	!
31	! 1992 2016-08-12 15:14:59Z suehring
32	! Adjustments for top boundary condition for passive scalar
33	!
34	! 1960 2016-07-12 16:34:24Z suehring
35	! Treat humidity and passive scalar separately
36	!
37	! 1823 2016-04-07 08:57:52Z hoffmann
38	! Initial version of purely vertical nesting introduced.
39	!
40	! 1822 2016-04-07 07:49:42Z hoffmann
41	! icloud_scheme removed. microphyisics_seifert added.
42	!
43	! 1764 2016-02-28 12:45:19Z raasch
44	! index bug for u_p at left outflow removed
45	!
46	! 1762 2016-02-25 12:31:13Z hellstea
47	! Introduction of nested domain feature
48	!
49	! 1742 2016-01-13 09:50:06Z raasch
50	! bugfix for outflow Neumann boundary conditions at bottom and top
51	!
52	! 1717 2015-11-11 15:09:47Z raasch
53	! Bugfix: index error in outflow conditions for left boundary
54	!
55	! 1682 2015-10-07 23:56:08Z knoop
56	! Code annotations made doxygen readable
57	!
58	! 1410 2014-05-23 12:16:18Z suehring
59	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
60	! top
61	!
62	! 1399 2014-05-07 11:16:25Z heinze
63	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
64	! is used.
65	!
66	! 1398 2014-05-07 11:15:00Z heinze
67	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
68	! for large_scale_forcing
69	!
70	! 1380 2014-04-28 12:40:45Z heinze
71	! Adjust Dirichlet-condition at the top for pt in case of nudging
72	!
73	! 1361 2014-04-16 15:17:48Z hoffmann
74	! Bottom and top boundary conditions of rain water content (qr) and
75	! rain drop concentration (nr) changed to Dirichlet
76	!
77	! 1353 2014-04-08 15:21:23Z heinze
78	! REAL constants provided with KIND-attribute
79	!
80	! 1320 2014-03-20 08:40:49Z raasch
81	! ONLY-attribute added to USE-statements,
82	! kind-parameters added to all INTEGER and REAL declaration statements,
83	! kinds are defined in new module kinds,
84	! revision history before 2012 removed,
85	! comment fields (!:) to be used for variable explanations added to
86	! all variable declaration statements
87	!
88	! 1257 2013-11-08 15:18:40Z raasch
89	! loop independent clauses added
90	!
91	! 1241 2013-10-30 11:36:58Z heinze
92	! Adjust ug and vg at each timestep in case of large_scale_forcing
93	!
94	! 1159 2013-05-21 11:58:22Z fricke
95	! Bugfix: Neumann boundary conditions for the velocity components at the
96	! outflow are in fact radiation boundary conditions using the maximum phase
97	! velocity that ensures numerical stability (CFL-condition).
98	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
99	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
100	! u_p, v_p, w_p
101	!
102	! 1115 2013-03-26 18:16:16Z hoffmann
103	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
104	! boundary-conditions
105	!
106	! 1113 2013-03-10 02:48:14Z raasch
107	! GPU-porting
108	! dummy argument "range" removed
109	! Bugfix: wrong index in loops of radiation boundary condition
110	!
111	! 1053 2012-11-13 17:11:03Z hoffmann
112	! boundary conditions for the two new prognostic equations (nr, qr) of the
113	! two-moment cloud scheme
114	!
115	! 1036 2012-10-22 13:43:42Z raasch
116	! code put under GPL (PALM 3.9)
117	!
118	! 996 2012-09-07 10:41:47Z raasch
119	! little reformatting
120	!
121	! 978 2012-08-09 08:28:32Z fricke
122	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
123	! Outflow boundary conditions for the velocity components can be set to Neumann
124	! conditions or to radiation conditions with a horizontal averaged phase
125	! velocity.
126	!
127	! 875 2012-04-02 15:35:15Z gryschka
128	! Bugfix in case of dirichlet inflow bc at the right or north boundary
129	!
130	! Revision 1.1 1997/09/12 06:21:34 raasch
131	! Initial revision
132	!
133	!
134	! Description:
135	! ------------
136	!> Boundary conditions for the prognostic quantities.
137	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
138	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
139	!> handled in routine exchange_horiz. Pressure boundary conditions are
140	!> explicitly set in routines pres, poisfft, poismg and sor.
141	!------------------------------------------------------------------------------!
142	SUBROUTINE boundary_conds
143
144
145	USE arrays_3d, &
146	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, &
147	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
148	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
149	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
150	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
151
152	USE control_parameters, &
153	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
154	cloud_physics, dt_3d, humidity, &
155	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
156	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
157	inflow_s, intermediate_timestep_count, large_scale_forcing, &
158	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
159	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
160	passive_scalar, tsc, use_cmax
161
162	USE grid_variables, &
163	ONLY: ddx, ddy, dx, dy
164
165	USE indices, &
166	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
167	nzb, nzb_s_inner, nzb_w_inner, nzt
168
169	USE kinds
170
171	USE pegrid
172
173	USE pmc_interface, &
174	ONLY : nesting_mode
175
176
177	IMPLICIT NONE
178
179	INTEGER(iwp) :: i !<
180	INTEGER(iwp) :: j !<
181	INTEGER(iwp) :: k !<
182
183	REAL(wp) :: c_max !<
184	REAL(wp) :: denom !<
185
186
187	!
188	!-- Bottom boundary
189	IF ( ibc_uv_b == 1 ) THEN
190	u_p(nzb,:,:) = u_p(nzb+1,:,:)
191	v_p(nzb,:,:) = v_p(nzb+1,:,:)
192	ENDIF
193
194	DO i = nxlg, nxrg
195	DO j = nysg, nyng
196	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
197	ENDDO
198	ENDDO
199
200	!
201	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
202	IF ( ibc_uv_t == 0 ) THEN
203	u_p(nzt+1,:,:) = u_init(nzt+1)
204	v_p(nzt+1,:,:) = v_init(nzt+1)
205	ELSEIF ( ibc_uv_t == 1 ) THEN
206	u_p(nzt+1,:,:) = u_p(nzt,:,:)
207	v_p(nzt+1,:,:) = v_p(nzt,:,:)
208	ENDIF
209
210	IF ( .NOT. nest_domain ) THEN
211	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
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	DO i = nxlg, nxrg
220	DO j = nysg, nyng
221	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
222	ENDDO
223	ENDDO
224	ELSEIF ( ibc_pt_b == 1 ) THEN
225	DO i = nxlg, nxrg
226	DO j = nysg, nyng
227	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
228	ENDDO
229	ENDDO
230	ENDIF
231
232	!
233	!-- Temperature at top boundary
234	IF ( ibc_pt_t == 0 ) THEN
235	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
236	!
237	!-- In case of nudging adjust top boundary to pt which is
238	!-- read in from NUDGING-DATA
239	IF ( nudging ) THEN
240	pt_p(nzt+1,:,:) = pt_init(nzt+1)
241	ENDIF
242	ELSEIF ( ibc_pt_t == 1 ) THEN
243	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
244	ELSEIF ( ibc_pt_t == 2 ) THEN
245	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
246	ENDIF
247
248	!
249	!-- Boundary conditions for TKE
250	!-- Generally Neumann conditions with de/dz=0 are assumed
251	IF ( .NOT. constant_diffusion ) THEN
252	DO i = nxlg, nxrg
253	DO j = nysg, nyng
254	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
255	ENDDO
256	ENDDO
257	IF ( .NOT. nest_domain ) THEN
258	e_p(nzt+1,:,:) = e_p(nzt,:,:)
259	ENDIF
260	ENDIF
261
262	!
263	!-- Boundary conditions for salinity
264	IF ( ocean ) THEN
265	!
266	!-- Bottom boundary: Neumann condition because salinity flux is always
267	!-- given
268	DO i = nxlg, nxrg
269	DO j = nysg, nyng
270	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
271	ENDDO
272	ENDDO
273
274	!
275	!-- Top boundary: Dirichlet or Neumann
276	IF ( ibc_sa_t == 0 ) THEN
277	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
278	ELSEIF ( ibc_sa_t == 1 ) THEN
279	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
280	ENDIF
281
282	ENDIF
283
284	!
285	!-- Boundary conditions for total water content,
286	!-- bottom and top boundary (see also temperature)
287	IF ( humidity ) THEN
288	!
289	!-- Surface conditions for constant_humidity_flux
290	IF ( ibc_q_b == 0 ) THEN
291	DO i = nxlg, nxrg
292	DO j = nysg, nyng
293	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
294	ENDDO
295	ENDDO
296	ELSE
297	DO i = nxlg, nxrg
298	DO j = nysg, nyng
299	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
300	ENDDO
301	ENDDO
302	ENDIF
303	!
304	!-- Top boundary
305	IF ( ibc_q_t == 0 ) THEN
306	q_p(nzt+1,:,:) = q(nzt+1,:,:)
307	ELSEIF ( ibc_q_t == 1 ) THEN
308	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
309	ENDIF
310
311	IF ( cloud_physics .AND. microphysics_seifert ) THEN
312	!
313	!-- Surface conditions rain water (Dirichlet)
314	DO i = nxlg, nxrg
315	DO j = nysg, nyng
316	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
317	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
318	ENDDO
319	ENDDO
320	!
321	!-- Top boundary condition for rain water (Dirichlet)
322	qr_p(nzt+1,:,:) = 0.0_wp
323	nr_p(nzt+1,:,:) = 0.0_wp
324
325	ENDIF
326	ENDIF
327	!
328	!-- Boundary conditions for scalar,
329	!-- bottom and top boundary (see also temperature)
330	IF ( passive_scalar ) THEN
331	!
332	!-- Surface conditions for constant_humidity_flux
333	IF ( ibc_s_b == 0 ) THEN
334	DO i = nxlg, nxrg
335	DO j = nysg, nyng
336	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
337	ENDDO
338	ENDDO
339	ELSE
340	DO i = nxlg, nxrg
341	DO j = nysg, nyng
342	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
343	ENDDO
344	ENDDO
345	ENDIF
346	!
347	!-- Top boundary condition
348	IF ( ibc_s_t == 0 ) THEN
349	s_p(nzt+1,:,:) = s(nzt+1,:,:)
350	ELSEIF ( ibc_s_t == 1 ) THEN
351	s_p(nzt+1,:,:) = s_p(nzt,:,:)
352	ELSEIF ( ibc_s_t == 2 ) THEN
353	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
354	ENDIF
355
356	ENDIF
357	!
358	!-- In case of inflow or nest boundary at the south boundary the boundary for v
359	!-- is at nys and in case of inflow or nest boundary at the left boundary the
360	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
361	!-- version) these levels are handled as a prognostic level, boundary values
362	!-- have to be restored here.
363	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
364	IF ( inflow_s ) THEN
365	v_p(:,nys,:) = v_p(:,nys-1,:)
366	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
367	ELSEIF ( inflow_n ) THEN
368	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
369	ELSEIF ( inflow_l ) THEN
370	u_p(:,:,nxl) = u_p(:,:,nxl-1)
371	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
372	ELSEIF ( inflow_r ) THEN
373	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
374	ENDIF
375
376	!
377	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
378	!-- in case of nest boundaries. This must not be done in case of vertical nesting
379	!-- mode as in that case the lateral boundaries are actually cyclic.
380	IF ( nesting_mode /= 'vertical' ) THEN
381	IF ( nest_bound_s ) THEN
382	v_p(:,nys,:) = v_p(:,nys-1,:)
383	ENDIF
384	IF ( nest_bound_l ) THEN
385	u_p(:,:,nxl) = u_p(:,:,nxl-1)
386	ENDIF
387	ENDIF
388
389	!
390	!-- Lateral boundary conditions for scalar quantities at the outflow
391	IF ( outflow_s ) THEN
392	pt_p(:,nys-1,:) = pt_p(:,nys,:)
393	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
394	IF ( humidity ) THEN
395	q_p(:,nys-1,:) = q_p(:,nys,:)
396	IF ( cloud_physics .AND. microphysics_seifert ) THEN
397	qr_p(:,nys-1,:) = qr_p(:,nys,:)
398	nr_p(:,nys-1,:) = nr_p(:,nys,:)
399	ENDIF
400	ENDIF
401	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
402	ELSEIF ( outflow_n ) THEN
403	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
404	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
405	IF ( humidity ) THEN
406	q_p(:,nyn+1,:) = q_p(:,nyn,:)
407	IF ( cloud_physics .AND. microphysics_seifert ) THEN
408	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
409	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
410	ENDIF
411	ENDIF
412	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
413	ELSEIF ( outflow_l ) THEN
414	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
415	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
416	IF ( humidity ) THEN
417	q_p(:,:,nxl-1) = q_p(:,:,nxl)
418	IF ( cloud_physics .AND. microphysics_seifert ) THEN
419	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
420	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
421	ENDIF
422	ENDIF
423	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
424	ELSEIF ( outflow_r ) THEN
425	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
426	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
427	IF ( humidity ) THEN
428	q_p(:,:,nxr+1) = q_p(:,:,nxr)
429	IF ( cloud_physics .AND. microphysics_seifert ) THEN
430	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
431	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
432	ENDIF
433	ENDIF
434	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
435	ENDIF
436
437	!
438	!-- Radiation boundary conditions for the velocities at the respective outflow.
439	!-- The phase velocity is either assumed to the maximum phase velocity that
440	!-- ensures numerical stability (CFL-condition) or calculated after
441	!-- Orlanski(1976) and averaged along the outflow boundary.
442	IF ( outflow_s ) THEN
443
444	IF ( use_cmax ) THEN
445	u_p(:,-1,:) = u(:,0,:)
446	v_p(:,0,:) = v(:,1,:)
447	w_p(:,-1,:) = w(:,0,:)
448	ELSEIF ( .NOT. use_cmax ) THEN
449
450	c_max = dy / dt_3d
451
452	c_u_m_l = 0.0_wp
453	c_v_m_l = 0.0_wp
454	c_w_m_l = 0.0_wp
455
456	c_u_m = 0.0_wp
457	c_v_m = 0.0_wp
458	c_w_m = 0.0_wp
459
460	!
461	!-- Calculate the phase speeds for u, v, and w, first local and then
462	!-- average along the outflow boundary.
463	DO k = nzb+1, nzt+1
464	DO i = nxl, nxr
465
466	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
467
468	IF ( denom /= 0.0_wp ) THEN
469	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
470	IF ( c_u(k,i) < 0.0_wp ) THEN
471	c_u(k,i) = 0.0_wp
472	ELSEIF ( c_u(k,i) > c_max ) THEN
473	c_u(k,i) = c_max
474	ENDIF
475	ELSE
476	c_u(k,i) = c_max
477	ENDIF
478
479	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
480
481	IF ( denom /= 0.0_wp ) THEN
482	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
483	IF ( c_v(k,i) < 0.0_wp ) THEN
484	c_v(k,i) = 0.0_wp
485	ELSEIF ( c_v(k,i) > c_max ) THEN
486	c_v(k,i) = c_max
487	ENDIF
488	ELSE
489	c_v(k,i) = c_max
490	ENDIF
491
492	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
493
494	IF ( denom /= 0.0_wp ) THEN
495	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
496	IF ( c_w(k,i) < 0.0_wp ) THEN
497	c_w(k,i) = 0.0_wp
498	ELSEIF ( c_w(k,i) > c_max ) THEN
499	c_w(k,i) = c_max
500	ENDIF
501	ELSE
502	c_w(k,i) = c_max
503	ENDIF
504
505	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
506	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
507	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
508
509	ENDDO
510	ENDDO
511
512	#if defined( __parallel )
513	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
514	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
515	MPI_SUM, comm1dx, ierr )
516	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
517	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
518	MPI_SUM, comm1dx, ierr )
519	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
520	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
521	MPI_SUM, comm1dx, ierr )
522	#else
523	c_u_m = c_u_m_l
524	c_v_m = c_v_m_l
525	c_w_m = c_w_m_l
526	#endif
527
528	c_u_m = c_u_m / (nx+1)
529	c_v_m = c_v_m / (nx+1)
530	c_w_m = c_w_m / (nx+1)
531
532	!
533	!-- Save old timelevels for the next timestep
534	IF ( intermediate_timestep_count == 1 ) THEN
535	u_m_s(:,:,:) = u(:,0:1,:)
536	v_m_s(:,:,:) = v(:,1:2,:)
537	w_m_s(:,:,:) = w(:,0:1,:)
538	ENDIF
539
540	!
541	!-- Calculate the new velocities
542	DO k = nzb+1, nzt+1
543	DO i = nxlg, nxrg
544	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
545	( u(k,-1,i) - u(k,0,i) ) * ddy
546
547	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
548	( v(k,0,i) - v(k,1,i) ) * ddy
549
550	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
551	( w(k,-1,i) - w(k,0,i) ) * ddy
552	ENDDO
553	ENDDO
554
555	!
556	!-- Bottom boundary at the outflow
557	IF ( ibc_uv_b == 0 ) THEN
558	u_p(nzb,-1,:) = 0.0_wp
559	v_p(nzb,0,:) = 0.0_wp
560	ELSE
561	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
562	v_p(nzb,0,:) = v_p(nzb+1,0,:)
563	ENDIF
564	w_p(nzb,-1,:) = 0.0_wp
565
566	!
567	!-- Top boundary at the outflow
568	IF ( ibc_uv_t == 0 ) THEN
569	u_p(nzt+1,-1,:) = u_init(nzt+1)
570	v_p(nzt+1,0,:) = v_init(nzt+1)
571	ELSE
572	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
573	v_p(nzt+1,0,:) = v_p(nzt,0,:)
574	ENDIF
575	w_p(nzt:nzt+1,-1,:) = 0.0_wp
576
577	ENDIF
578
579	ENDIF
580
581	IF ( outflow_n ) THEN
582
583	IF ( use_cmax ) THEN
584	u_p(:,ny+1,:) = u(:,ny,:)
585	v_p(:,ny+1,:) = v(:,ny,:)
586	w_p(:,ny+1,:) = w(:,ny,:)
587	ELSEIF ( .NOT. use_cmax ) THEN
588
589	c_max = dy / dt_3d
590
591	c_u_m_l = 0.0_wp
592	c_v_m_l = 0.0_wp
593	c_w_m_l = 0.0_wp
594
595	c_u_m = 0.0_wp
596	c_v_m = 0.0_wp
597	c_w_m = 0.0_wp
598
599	!
600	!-- Calculate the phase speeds for u, v, and w, first local and then
601	!-- average along the outflow boundary.
602	DO k = nzb+1, nzt+1
603	DO i = nxl, nxr
604
605	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
606
607	IF ( denom /= 0.0_wp ) THEN
608	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
609	IF ( c_u(k,i) < 0.0_wp ) THEN
610	c_u(k,i) = 0.0_wp
611	ELSEIF ( c_u(k,i) > c_max ) THEN
612	c_u(k,i) = c_max
613	ENDIF
614	ELSE
615	c_u(k,i) = c_max
616	ENDIF
617
618	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
619
620	IF ( denom /= 0.0_wp ) THEN
621	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
622	IF ( c_v(k,i) < 0.0_wp ) THEN
623	c_v(k,i) = 0.0_wp
624	ELSEIF ( c_v(k,i) > c_max ) THEN
625	c_v(k,i) = c_max
626	ENDIF
627	ELSE
628	c_v(k,i) = c_max
629	ENDIF
630
631	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
632
633	IF ( denom /= 0.0_wp ) THEN
634	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
635	IF ( c_w(k,i) < 0.0_wp ) THEN
636	c_w(k,i) = 0.0_wp
637	ELSEIF ( c_w(k,i) > c_max ) THEN
638	c_w(k,i) = c_max
639	ENDIF
640	ELSE
641	c_w(k,i) = c_max
642	ENDIF
643
644	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
645	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
646	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
647
648	ENDDO
649	ENDDO
650
651	#if defined( __parallel )
652	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
653	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
654	MPI_SUM, comm1dx, ierr )
655	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
656	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
657	MPI_SUM, comm1dx, ierr )
658	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
659	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
660	MPI_SUM, comm1dx, ierr )
661	#else
662	c_u_m = c_u_m_l
663	c_v_m = c_v_m_l
664	c_w_m = c_w_m_l
665	#endif
666
667	c_u_m = c_u_m / (nx+1)
668	c_v_m = c_v_m / (nx+1)
669	c_w_m = c_w_m / (nx+1)
670
671	!
672	!-- Save old timelevels for the next timestep
673	IF ( intermediate_timestep_count == 1 ) THEN
674	u_m_n(:,:,:) = u(:,ny-1:ny,:)
675	v_m_n(:,:,:) = v(:,ny-1:ny,:)
676	w_m_n(:,:,:) = w(:,ny-1:ny,:)
677	ENDIF
678
679	!
680	!-- Calculate the new velocities
681	DO k = nzb+1, nzt+1
682	DO i = nxlg, nxrg
683	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
684	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
685
686	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
687	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
688
689	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
690	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
691	ENDDO
692	ENDDO
693
694	!
695	!-- Bottom boundary at the outflow
696	IF ( ibc_uv_b == 0 ) THEN
697	u_p(nzb,ny+1,:) = 0.0_wp
698	v_p(nzb,ny+1,:) = 0.0_wp
699	ELSE
700	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
701	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
702	ENDIF
703	w_p(nzb,ny+1,:) = 0.0_wp
704
705	!
706	!-- Top boundary at the outflow
707	IF ( ibc_uv_t == 0 ) THEN
708	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
709	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
710	ELSE
711	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
712	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
713	ENDIF
714	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
715
716	ENDIF
717
718	ENDIF
719
720	IF ( outflow_l ) THEN
721
722	IF ( use_cmax ) THEN
723	u_p(:,:,0) = u(:,:,1)
724	v_p(:,:,-1) = v(:,:,0)
725	w_p(:,:,-1) = w(:,:,0)
726	ELSEIF ( .NOT. use_cmax ) THEN
727
728	c_max = dx / dt_3d
729
730	c_u_m_l = 0.0_wp
731	c_v_m_l = 0.0_wp
732	c_w_m_l = 0.0_wp
733
734	c_u_m = 0.0_wp
735	c_v_m = 0.0_wp
736	c_w_m = 0.0_wp
737
738	!
739	!-- Calculate the phase speeds for u, v, and w, first local and then
740	!-- average along the outflow boundary.
741	DO k = nzb+1, nzt+1
742	DO j = nys, nyn
743
744	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
745
746	IF ( denom /= 0.0_wp ) THEN
747	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
748	IF ( c_u(k,j) < 0.0_wp ) THEN
749	c_u(k,j) = 0.0_wp
750	ELSEIF ( c_u(k,j) > c_max ) THEN
751	c_u(k,j) = c_max
752	ENDIF
753	ELSE
754	c_u(k,j) = c_max
755	ENDIF
756
757	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
758
759	IF ( denom /= 0.0_wp ) THEN
760	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
761	IF ( c_v(k,j) < 0.0_wp ) THEN
762	c_v(k,j) = 0.0_wp
763	ELSEIF ( c_v(k,j) > c_max ) THEN
764	c_v(k,j) = c_max
765	ENDIF
766	ELSE
767	c_v(k,j) = c_max
768	ENDIF
769
770	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
771
772	IF ( denom /= 0.0_wp ) THEN
773	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
774	IF ( c_w(k,j) < 0.0_wp ) THEN
775	c_w(k,j) = 0.0_wp
776	ELSEIF ( c_w(k,j) > c_max ) THEN
777	c_w(k,j) = c_max
778	ENDIF
779	ELSE
780	c_w(k,j) = c_max
781	ENDIF
782
783	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
784	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
785	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
786
787	ENDDO
788	ENDDO
789
790	#if defined( __parallel )
791	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
792	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
793	MPI_SUM, comm1dy, ierr )
794	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
795	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
796	MPI_SUM, comm1dy, ierr )
797	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
798	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
799	MPI_SUM, comm1dy, ierr )
800	#else
801	c_u_m = c_u_m_l
802	c_v_m = c_v_m_l
803	c_w_m = c_w_m_l
804	#endif
805
806	c_u_m = c_u_m / (ny+1)
807	c_v_m = c_v_m / (ny+1)
808	c_w_m = c_w_m / (ny+1)
809
810	!
811	!-- Save old timelevels for the next timestep
812	IF ( intermediate_timestep_count == 1 ) THEN
813	u_m_l(:,:,:) = u(:,:,1:2)
814	v_m_l(:,:,:) = v(:,:,0:1)
815	w_m_l(:,:,:) = w(:,:,0:1)
816	ENDIF
817
818	!
819	!-- Calculate the new velocities
820	DO k = nzb+1, nzt+1
821	DO j = nysg, nyng
822	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
823	( u(k,j,0) - u(k,j,1) ) * ddx
824
825	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
826	( v(k,j,-1) - v(k,j,0) ) * ddx
827
828	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
829	( w(k,j,-1) - w(k,j,0) ) * ddx
830	ENDDO
831	ENDDO
832
833	!
834	!-- Bottom boundary at the outflow
835	IF ( ibc_uv_b == 0 ) THEN
836	u_p(nzb,:,0) = 0.0_wp
837	v_p(nzb,:,-1) = 0.0_wp
838	ELSE
839	u_p(nzb,:,0) = u_p(nzb+1,:,0)
840	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
841	ENDIF
842	w_p(nzb,:,-1) = 0.0_wp
843
844	!
845	!-- Top boundary at the outflow
846	IF ( ibc_uv_t == 0 ) THEN
847	u_p(nzt+1,:,0) = u_init(nzt+1)
848	v_p(nzt+1,:,-1) = v_init(nzt+1)
849	ELSE
850	u_p(nzt+1,:,0) = u_p(nzt,:,0)
851	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
852	ENDIF
853	w_p(nzt:nzt+1,:,-1) = 0.0_wp
854
855	ENDIF
856
857	ENDIF
858
859	IF ( outflow_r ) THEN
860
861	IF ( use_cmax ) THEN
862	u_p(:,:,nx+1) = u(:,:,nx)
863	v_p(:,:,nx+1) = v(:,:,nx)
864	w_p(:,:,nx+1) = w(:,:,nx)
865	ELSEIF ( .NOT. use_cmax ) THEN
866
867	c_max = dx / dt_3d
868
869	c_u_m_l = 0.0_wp
870	c_v_m_l = 0.0_wp
871	c_w_m_l = 0.0_wp
872
873	c_u_m = 0.0_wp
874	c_v_m = 0.0_wp
875	c_w_m = 0.0_wp
876
877	!
878	!-- Calculate the phase speeds for u, v, and w, first local and then
879	!-- average along the outflow boundary.
880	DO k = nzb+1, nzt+1
881	DO j = nys, nyn
882
883	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
884
885	IF ( denom /= 0.0_wp ) THEN
886	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
887	IF ( c_u(k,j) < 0.0_wp ) THEN
888	c_u(k,j) = 0.0_wp
889	ELSEIF ( c_u(k,j) > c_max ) THEN
890	c_u(k,j) = c_max
891	ENDIF
892	ELSE
893	c_u(k,j) = c_max
894	ENDIF
895
896	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
897
898	IF ( denom /= 0.0_wp ) THEN
899	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
900	IF ( c_v(k,j) < 0.0_wp ) THEN
901	c_v(k,j) = 0.0_wp
902	ELSEIF ( c_v(k,j) > c_max ) THEN
903	c_v(k,j) = c_max
904	ENDIF
905	ELSE
906	c_v(k,j) = c_max
907	ENDIF
908
909	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
910
911	IF ( denom /= 0.0_wp ) THEN
912	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
913	IF ( c_w(k,j) < 0.0_wp ) THEN
914	c_w(k,j) = 0.0_wp
915	ELSEIF ( c_w(k,j) > c_max ) THEN
916	c_w(k,j) = c_max
917	ENDIF
918	ELSE
919	c_w(k,j) = c_max
920	ENDIF
921
922	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
923	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
924	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
925
926	ENDDO
927	ENDDO
928
929	#if defined( __parallel )
930	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
931	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
932	MPI_SUM, comm1dy, ierr )
933	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
934	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
935	MPI_SUM, comm1dy, ierr )
936	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
937	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
938	MPI_SUM, comm1dy, ierr )
939	#else
940	c_u_m = c_u_m_l
941	c_v_m = c_v_m_l
942	c_w_m = c_w_m_l
943	#endif
944
945	c_u_m = c_u_m / (ny+1)
946	c_v_m = c_v_m / (ny+1)
947	c_w_m = c_w_m / (ny+1)
948
949	!
950	!-- Save old timelevels for the next timestep
951	IF ( intermediate_timestep_count == 1 ) THEN
952	u_m_r(:,:,:) = u(:,:,nx-1:nx)
953	v_m_r(:,:,:) = v(:,:,nx-1:nx)
954	w_m_r(:,:,:) = w(:,:,nx-1:nx)
955	ENDIF
956
957	!
958	!-- Calculate the new velocities
959	DO k = nzb+1, nzt+1
960	DO j = nysg, nyng
961	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
962	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
963
964	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
965	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
966
967	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
968	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
969	ENDDO
970	ENDDO
971
972	!
973	!-- Bottom boundary at the outflow
974	IF ( ibc_uv_b == 0 ) THEN
975	u_p(nzb,:,nx+1) = 0.0_wp
976	v_p(nzb,:,nx+1) = 0.0_wp
977	ELSE
978	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
979	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
980	ENDIF
981	w_p(nzb,:,nx+1) = 0.0_wp
982
983	!
984	!-- Top boundary at the outflow
985	IF ( ibc_uv_t == 0 ) THEN
986	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
987	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
988	ELSE
989	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
990	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
991	ENDIF
992	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
993
994	ENDIF
995
996	ENDIF
997
998	END SUBROUTINE boundary_conds

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