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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1576

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1	SUBROUTINE boundary_conds
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later 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 1997-2014 Leibniz Universitaet Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 1463 2014-09-04 12:05:50Z raasch $
27	!
28	!1410 2014-05-23 12:16:18Z suehring
29	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
30	! top
31	!
32	! 1399 2014-05-07 11:16:25Z heinze
33	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
34	! is used.
35	!
36	! 1398 2014-05-07 11:15:00Z heinze
37	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
38	! for large_scale_forcing
39	!
40	! 1380 2014-04-28 12:40:45Z heinze
41	! Adjust Dirichlet-condition at the top for pt in case of nudging
42	!
43	! 1361 2014-04-16 15:17:48Z hoffmann
44	! Bottom and top boundary conditions of rain water content (qr) and
45	! rain drop concentration (nr) changed to Dirichlet
46	!
47	! 1353 2014-04-08 15:21:23Z heinze
48	! REAL constants provided with KIND-attribute
49	!
50	! 1320 2014-03-20 08:40:49Z raasch
51	! ONLY-attribute added to USE-statements,
52	! kind-parameters added to all INTEGER and REAL declaration statements,
53	! kinds are defined in new module kinds,
54	! revision history before 2012 removed,
55	! comment fields (!:) to be used for variable explanations added to
56	! all variable declaration statements
57	!
58	! 1257 2013-11-08 15:18:40Z raasch
59	! loop independent clauses added
60	!
61	! 1241 2013-10-30 11:36:58Z heinze
62	! Adjust ug and vg at each timestep in case of large_scale_forcing
63	!
64	! 1159 2013-05-21 11:58:22Z fricke
65	! Bugfix: Neumann boundary conditions for the velocity components at the
66	! outflow are in fact radiation boundary conditions using the maximum phase
67	! velocity that ensures numerical stability (CFL-condition).
68	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
69	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
70	! u_p, v_p, w_p
71	!
72	! 1115 2013-03-26 18:16:16Z hoffmann
73	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
74	! boundary-conditions
75	!
76	! 1113 2013-03-10 02:48:14Z raasch
77	! GPU-porting
78	! dummy argument "range" removed
79	! Bugfix: wrong index in loops of radiation boundary condition
80	!
81	! 1053 2012-11-13 17:11:03Z hoffmann
82	! boundary conditions for the two new prognostic equations (nr, qr) of the
83	! two-moment cloud scheme
84	!
85	! 1036 2012-10-22 13:43:42Z raasch
86	! code put under GPL (PALM 3.9)
87	!
88	! 996 2012-09-07 10:41:47Z raasch
89	! little reformatting
90	!
91	! 978 2012-08-09 08:28:32Z fricke
92	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
93	! Outflow boundary conditions for the velocity components can be set to Neumann
94	! conditions or to radiation conditions with a horizontal averaged phase
95	! velocity.
96	!
97	! 875 2012-04-02 15:35:15Z gryschka
98	! Bugfix in case of dirichlet inflow bc at the right or north boundary
99	!
100	! Revision 1.1 1997/09/12 06:21:34 raasch
101	! Initial revision
102	!
103	!
104	! Description:
105	! ------------
106	! Boundary conditions for the prognostic quantities.
107	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
108	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
109	! handled in routine exchange_horiz. Pressure boundary conditions are
110	! explicitly set in routines pres, poisfft, poismg and sor.
111	!------------------------------------------------------------------------------!
112
113	USE arrays_3d, &
114	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, &
115	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
116	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
117	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
118	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
119	pt_init
120
121	USE control_parameters, &
122	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
123	cloud_physics, dt_3d, humidity, &
124	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
125	ibc_uv_t, icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s,&
126	intermediate_timestep_count, large_scale_forcing, ocean, &
127	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
128	precipitation, tsc, use_cmax, &
129	nudging
130
131	USE grid_variables, &
132	ONLY: ddx, ddy, dx, dy
133
134	USE indices, &
135	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
136	nzb, nzb_s_inner, nzb_w_inner, nzt
137
138	USE kinds
139
140	USE pegrid
141
142
143	IMPLICIT NONE
144
145	INTEGER(iwp) :: i !:
146	INTEGER(iwp) :: j !:
147	INTEGER(iwp) :: k !:
148
149	REAL(wp) :: c_max !:
150	REAL(wp) :: denom !:
151
152
153	!
154	!-- Bottom boundary
155	IF ( ibc_uv_b == 1 ) THEN
156	!$acc kernels present( u_p, v_p )
157	u_p(nzb,:,:) = u_p(nzb+1,:,:)
158	v_p(nzb,:,:) = v_p(nzb+1,:,:)
159	!$acc end kernels
160	ENDIF
161
162	!$acc kernels present( nzb_w_inner, w_p )
163	DO i = nxlg, nxrg
164	DO j = nysg, nyng
165	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
166	ENDDO
167	ENDDO
168	!$acc end kernels
169
170	!
171	!-- Top boundary
172	IF ( ibc_uv_t == 0 ) THEN
173	!$acc kernels present( u_init, u_p, v_init, v_p )
174	u_p(nzt+1,:,:) = u_init(nzt+1)
175	v_p(nzt+1,:,:) = v_init(nzt+1)
176	!$acc end kernels
177	ELSE
178	!$acc kernels present( u_p, v_p )
179	u_p(nzt+1,:,:) = u_p(nzt,:,:)
180	v_p(nzt+1,:,:) = v_p(nzt,:,:)
181	!$acc end kernels
182	ENDIF
183	!$acc kernels present( w_p )
184	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
185	!$acc end kernels
186
187	!
188	!-- Temperature at bottom boundary.
189	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
190	!-- the sea surface temperature of the coupled ocean model.
191	IF ( ibc_pt_b == 0 ) THEN
192	!$acc kernels present( nzb_s_inner, pt, pt_p )
193	!$acc loop independent
194	DO i = nxlg, nxrg
195	!$acc loop independent
196	DO j = nysg, nyng
197	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
198	ENDDO
199	ENDDO
200	!$acc end kernels
201	ELSEIF ( ibc_pt_b == 1 ) THEN
202	!$acc kernels present( nzb_s_inner, pt_p )
203	!$acc loop independent
204	DO i = nxlg, nxrg
205	!$acc loop independent
206	DO j = nysg, nyng
207	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
208	ENDDO
209	ENDDO
210	!$acc end kernels
211	ENDIF
212
213	!
214	!-- Temperature at top boundary
215	IF ( ibc_pt_t == 0 ) THEN
216	!$acc kernels present( pt, pt_p )
217	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
218	!
219	!-- In case of nudging adjust top boundary to pt which is
220	!-- read in from NUDGING-DATA
221	IF ( nudging ) THEN
222	pt_p(nzt+1,:,:) = pt_init(nzt+1)
223	ENDIF
224	!$acc end kernels
225	ELSEIF ( ibc_pt_t == 1 ) THEN
226	!$acc kernels present( pt_p )
227	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
228	!$acc end kernels
229	ELSEIF ( ibc_pt_t == 2 ) THEN
230	!$acc kernels present( dzu, pt_p )
231	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
232	!$acc end kernels
233	ENDIF
234
235	!
236	!-- Boundary conditions for TKE
237	!-- Generally Neumann conditions with de/dz=0 are assumed
238	IF ( .NOT. constant_diffusion ) THEN
239	!$acc kernels present( e_p, nzb_s_inner )
240	!$acc loop independent
241	DO i = nxlg, nxrg
242	!$acc loop independent
243	DO j = nysg, nyng
244	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
245	ENDDO
246	ENDDO
247	e_p(nzt+1,:,:) = e_p(nzt,:,:)
248	!$acc end kernels
249	ENDIF
250
251	!
252	!-- Boundary conditions for salinity
253	IF ( ocean ) THEN
254	!
255	!-- Bottom boundary: Neumann condition because salinity flux is always
256	!-- given
257	DO i = nxlg, nxrg
258	DO j = nysg, nyng
259	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
260	ENDDO
261	ENDDO
262
263	!
264	!-- Top boundary: Dirichlet or Neumann
265	IF ( ibc_sa_t == 0 ) THEN
266	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
267	ELSEIF ( ibc_sa_t == 1 ) THEN
268	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
269	ENDIF
270
271	ENDIF
272
273	!
274	!-- Boundary conditions for total water content or scalar,
275	!-- bottom and top boundary (see also temperature)
276	IF ( humidity .OR. passive_scalar ) THEN
277	!
278	!-- Surface conditions for constant_humidity_flux
279	IF ( ibc_q_b == 0 ) THEN
280	DO i = nxlg, nxrg
281	DO j = nysg, nyng
282	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
283	ENDDO
284	ENDDO
285	ELSE
286	DO i = nxlg, nxrg
287	DO j = nysg, nyng
288	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
289	ENDDO
290	ENDDO
291	ENDIF
292	!
293	!-- Top boundary
294	IF ( ibc_q_t == 0 ) THEN
295	q_p(nzt+1,:,:) = q(nzt+1,:,:)
296	ELSEIF ( ibc_q_t == 1 ) THEN
297	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
298	ENDIF
299
300	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
301	!
302	!-- Surface conditions rain water (Dirichlet)
303	DO i = nxlg, nxrg
304	DO j = nysg, nyng
305	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
306	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
307	ENDDO
308	ENDDO
309	!
310	!-- Top boundary condition for rain water (Dirichlet)
311	qr_p(nzt+1,:,:) = 0.0_wp
312	nr_p(nzt+1,:,:) = 0.0_wp
313
314	ENDIF
315	ENDIF
316	!
317	!-- In case of inflow at the south boundary the boundary for v is at nys
318	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
319	!-- Since in prognostic_equations (cache optimized version) these levels are
320	!-- handled as a prognostic level, boundary values have to be restored here.
321	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
322	IF ( inflow_s ) THEN
323	v_p(:,nys,:) = v_p(:,nys-1,:)
324	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
325	ELSEIF ( inflow_n ) THEN
326	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
327	ELSEIF ( inflow_l ) THEN
328	u_p(:,:,nxl) = u_p(:,:,nxl-1)
329	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
330	ELSEIF ( inflow_r ) THEN
331	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
332	ENDIF
333
334	!
335	!-- Lateral boundary conditions for scalar quantities at the outflow
336	IF ( outflow_s ) THEN
337	pt_p(:,nys-1,:) = pt_p(:,nys,:)
338	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
339	IF ( humidity .OR. passive_scalar ) THEN
340	q_p(:,nys-1,:) = q_p(:,nys,:)
341	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
342	precipitation) THEN
343	qr_p(:,nys-1,:) = qr_p(:,nys,:)
344	nr_p(:,nys-1,:) = nr_p(:,nys,:)
345	ENDIF
346	ENDIF
347	ELSEIF ( outflow_n ) THEN
348	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
349	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
350	IF ( humidity .OR. passive_scalar ) THEN
351	q_p(:,nyn+1,:) = q_p(:,nyn,:)
352	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
353	precipitation ) THEN
354	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
355	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
356	ENDIF
357	ENDIF
358	ELSEIF ( outflow_l ) THEN
359	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
360	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
361	IF ( humidity .OR. passive_scalar ) THEN
362	q_p(:,:,nxl-1) = q_p(:,:,nxl)
363	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
364	precipitation ) THEN
365	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
366	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
367	ENDIF
368	ENDIF
369	ELSEIF ( outflow_r ) THEN
370	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
371	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
372	IF ( humidity .OR. passive_scalar ) THEN
373	q_p(:,:,nxr+1) = q_p(:,:,nxr)
374	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
375	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
376	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
377	ENDIF
378	ENDIF
379	ENDIF
380
381	!
382	!-- Radiation boundary conditions for the velocities at the respective outflow.
383	!-- The phase velocity is either assumed to the maximum phase velocity that
384	!-- ensures numerical stability (CFL-condition) or calculated after
385	!-- Orlanski(1976) and averaged along the outflow boundary.
386	IF ( outflow_s ) THEN
387
388	IF ( use_cmax ) THEN
389	u_p(:,-1,:) = u(:,0,:)
390	v_p(:,0,:) = v(:,1,:)
391	w_p(:,-1,:) = w(:,0,:)
392	ELSEIF ( .NOT. use_cmax ) THEN
393
394	c_max = dy / dt_3d
395
396	c_u_m_l = 0.0_wp
397	c_v_m_l = 0.0_wp
398	c_w_m_l = 0.0_wp
399
400	c_u_m = 0.0_wp
401	c_v_m = 0.0_wp
402	c_w_m = 0.0_wp
403
404	!
405	!-- Calculate the phase speeds for u, v, and w, first local and then
406	!-- average along the outflow boundary.
407	DO k = nzb+1, nzt+1
408	DO i = nxl, nxr
409
410	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
411
412	IF ( denom /= 0.0_wp ) THEN
413	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
414	IF ( c_u(k,i) < 0.0_wp ) THEN
415	c_u(k,i) = 0.0_wp
416	ELSEIF ( c_u(k,i) > c_max ) THEN
417	c_u(k,i) = c_max
418	ENDIF
419	ELSE
420	c_u(k,i) = c_max
421	ENDIF
422
423	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
424
425	IF ( denom /= 0.0_wp ) THEN
426	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
427	IF ( c_v(k,i) < 0.0_wp ) THEN
428	c_v(k,i) = 0.0_wp
429	ELSEIF ( c_v(k,i) > c_max ) THEN
430	c_v(k,i) = c_max
431	ENDIF
432	ELSE
433	c_v(k,i) = c_max
434	ENDIF
435
436	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
437
438	IF ( denom /= 0.0_wp ) THEN
439	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
440	IF ( c_w(k,i) < 0.0_wp ) THEN
441	c_w(k,i) = 0.0_wp
442	ELSEIF ( c_w(k,i) > c_max ) THEN
443	c_w(k,i) = c_max
444	ENDIF
445	ELSE
446	c_w(k,i) = c_max
447	ENDIF
448
449	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
450	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
451	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
452
453	ENDDO
454	ENDDO
455
456	#if defined( __parallel )
457	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
458	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
459	MPI_SUM, comm1dx, ierr )
460	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
461	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
462	MPI_SUM, comm1dx, ierr )
463	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
464	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
465	MPI_SUM, comm1dx, ierr )
466	#else
467	c_u_m = c_u_m_l
468	c_v_m = c_v_m_l
469	c_w_m = c_w_m_l
470	#endif
471
472	c_u_m = c_u_m / (nx+1)
473	c_v_m = c_v_m / (nx+1)
474	c_w_m = c_w_m / (nx+1)
475
476	!
477	!-- Save old timelevels for the next timestep
478	IF ( intermediate_timestep_count == 1 ) THEN
479	u_m_s(:,:,:) = u(:,0:1,:)
480	v_m_s(:,:,:) = v(:,1:2,:)
481	w_m_s(:,:,:) = w(:,0:1,:)
482	ENDIF
483
484	!
485	!-- Calculate the new velocities
486	DO k = nzb+1, nzt+1
487	DO i = nxlg, nxrg
488	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
489	( u(k,-1,i) - u(k,0,i) ) * ddy
490
491	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
492	( v(k,0,i) - v(k,1,i) ) * ddy
493
494	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
495	( w(k,-1,i) - w(k,0,i) ) * ddy
496	ENDDO
497	ENDDO
498
499	!
500	!-- Bottom boundary at the outflow
501	IF ( ibc_uv_b == 0 ) THEN
502	u_p(nzb,-1,:) = 0.0_wp
503	v_p(nzb,0,:) = 0.0_wp
504	ELSE
505	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
506	v_p(nzb,0,:) = v_p(nzb+1,0,:)
507	ENDIF
508	w_p(nzb,-1,:) = 0.0_wp
509
510	!
511	!-- Top boundary at the outflow
512	IF ( ibc_uv_t == 0 ) THEN
513	u_p(nzt+1,-1,:) = u_init(nzt+1)
514	v_p(nzt+1,0,:) = v_init(nzt+1)
515	ELSE
516	u_p(nzt+1,-1,:) = u(nzt,-1,:)
517	v_p(nzt+1,0,:) = v(nzt,0,:)
518	ENDIF
519	w_p(nzt:nzt+1,-1,:) = 0.0_wp
520
521	ENDIF
522
523	ENDIF
524
525	IF ( outflow_n ) THEN
526
527	IF ( use_cmax ) THEN
528	u_p(:,ny+1,:) = u(:,ny,:)
529	v_p(:,ny+1,:) = v(:,ny,:)
530	w_p(:,ny+1,:) = w(:,ny,:)
531	ELSEIF ( .NOT. use_cmax ) THEN
532
533	c_max = dy / dt_3d
534
535	c_u_m_l = 0.0_wp
536	c_v_m_l = 0.0_wp
537	c_w_m_l = 0.0_wp
538
539	c_u_m = 0.0_wp
540	c_v_m = 0.0_wp
541	c_w_m = 0.0_wp
542
543	!
544	!-- Calculate the phase speeds for u, v, and w, first local and then
545	!-- average along the outflow boundary.
546	DO k = nzb+1, nzt+1
547	DO i = nxl, nxr
548
549	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
550
551	IF ( denom /= 0.0_wp ) THEN
552	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
553	IF ( c_u(k,i) < 0.0_wp ) THEN
554	c_u(k,i) = 0.0_wp
555	ELSEIF ( c_u(k,i) > c_max ) THEN
556	c_u(k,i) = c_max
557	ENDIF
558	ELSE
559	c_u(k,i) = c_max
560	ENDIF
561
562	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
563
564	IF ( denom /= 0.0_wp ) THEN
565	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
566	IF ( c_v(k,i) < 0.0_wp ) THEN
567	c_v(k,i) = 0.0_wp
568	ELSEIF ( c_v(k,i) > c_max ) THEN
569	c_v(k,i) = c_max
570	ENDIF
571	ELSE
572	c_v(k,i) = c_max
573	ENDIF
574
575	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
576
577	IF ( denom /= 0.0_wp ) THEN
578	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
579	IF ( c_w(k,i) < 0.0_wp ) THEN
580	c_w(k,i) = 0.0_wp
581	ELSEIF ( c_w(k,i) > c_max ) THEN
582	c_w(k,i) = c_max
583	ENDIF
584	ELSE
585	c_w(k,i) = c_max
586	ENDIF
587
588	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
589	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
590	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
591
592	ENDDO
593	ENDDO
594
595	#if defined( __parallel )
596	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
597	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
598	MPI_SUM, comm1dx, ierr )
599	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
600	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
601	MPI_SUM, comm1dx, ierr )
602	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
603	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
604	MPI_SUM, comm1dx, ierr )
605	#else
606	c_u_m = c_u_m_l
607	c_v_m = c_v_m_l
608	c_w_m = c_w_m_l
609	#endif
610
611	c_u_m = c_u_m / (nx+1)
612	c_v_m = c_v_m / (nx+1)
613	c_w_m = c_w_m / (nx+1)
614
615	!
616	!-- Save old timelevels for the next timestep
617	IF ( intermediate_timestep_count == 1 ) THEN
618	u_m_n(:,:,:) = u(:,ny-1:ny,:)
619	v_m_n(:,:,:) = v(:,ny-1:ny,:)
620	w_m_n(:,:,:) = w(:,ny-1:ny,:)
621	ENDIF
622
623	!
624	!-- Calculate the new velocities
625	DO k = nzb+1, nzt+1
626	DO i = nxlg, nxrg
627	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
628	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
629
630	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
631	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
632
633	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
634	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
635	ENDDO
636	ENDDO
637
638	!
639	!-- Bottom boundary at the outflow
640	IF ( ibc_uv_b == 0 ) THEN
641	u_p(nzb,ny+1,:) = 0.0_wp
642	v_p(nzb,ny+1,:) = 0.0_wp
643	ELSE
644	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
645	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
646	ENDIF
647	w_p(nzb,ny+1,:) = 0.0_wp
648
649	!
650	!-- Top boundary at the outflow
651	IF ( ibc_uv_t == 0 ) THEN
652	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
653	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
654	ELSE
655	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
656	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
657	ENDIF
658	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
659
660	ENDIF
661
662	ENDIF
663
664	IF ( outflow_l ) THEN
665
666	IF ( use_cmax ) THEN
667	u_p(:,:,-1) = u(:,:,0)
668	v_p(:,:,0) = v(:,:,1)
669	w_p(:,:,-1) = w(:,:,0)
670	ELSEIF ( .NOT. use_cmax ) THEN
671
672	c_max = dx / dt_3d
673
674	c_u_m_l = 0.0_wp
675	c_v_m_l = 0.0_wp
676	c_w_m_l = 0.0_wp
677
678	c_u_m = 0.0_wp
679	c_v_m = 0.0_wp
680	c_w_m = 0.0_wp
681
682	!
683	!-- Calculate the phase speeds for u, v, and w, first local and then
684	!-- average along the outflow boundary.
685	DO k = nzb+1, nzt+1
686	DO j = nys, nyn
687
688	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
689
690	IF ( denom /= 0.0_wp ) THEN
691	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
692	IF ( c_u(k,j) < 0.0_wp ) THEN
693	c_u(k,j) = 0.0_wp
694	ELSEIF ( c_u(k,j) > c_max ) THEN
695	c_u(k,j) = c_max
696	ENDIF
697	ELSE
698	c_u(k,j) = c_max
699	ENDIF
700
701	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
702
703	IF ( denom /= 0.0_wp ) THEN
704	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
705	IF ( c_v(k,j) < 0.0_wp ) THEN
706	c_v(k,j) = 0.0_wp
707	ELSEIF ( c_v(k,j) > c_max ) THEN
708	c_v(k,j) = c_max
709	ENDIF
710	ELSE
711	c_v(k,j) = c_max
712	ENDIF
713
714	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
715
716	IF ( denom /= 0.0_wp ) THEN
717	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
718	IF ( c_w(k,j) < 0.0_wp ) THEN
719	c_w(k,j) = 0.0_wp
720	ELSEIF ( c_w(k,j) > c_max ) THEN
721	c_w(k,j) = c_max
722	ENDIF
723	ELSE
724	c_w(k,j) = c_max
725	ENDIF
726
727	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
728	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
729	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
730
731	ENDDO
732	ENDDO
733
734	#if defined( __parallel )
735	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
736	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
737	MPI_SUM, comm1dy, ierr )
738	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
739	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
740	MPI_SUM, comm1dy, ierr )
741	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
742	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
743	MPI_SUM, comm1dy, ierr )
744	#else
745	c_u_m = c_u_m_l
746	c_v_m = c_v_m_l
747	c_w_m = c_w_m_l
748	#endif
749
750	c_u_m = c_u_m / (ny+1)
751	c_v_m = c_v_m / (ny+1)
752	c_w_m = c_w_m / (ny+1)
753
754	!
755	!-- Save old timelevels for the next timestep
756	IF ( intermediate_timestep_count == 1 ) THEN
757	u_m_l(:,:,:) = u(:,:,1:2)
758	v_m_l(:,:,:) = v(:,:,0:1)
759	w_m_l(:,:,:) = w(:,:,0:1)
760	ENDIF
761
762	!
763	!-- Calculate the new velocities
764	DO k = nzb+1, nzt+1
765	DO j = nysg, nyng
766	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
767	( u(k,j,0) - u(k,j,1) ) * ddx
768
769	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
770	( v(k,j,-1) - v(k,j,0) ) * ddx
771
772	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
773	( w(k,j,-1) - w(k,j,0) ) * ddx
774	ENDDO
775	ENDDO
776
777	!
778	!-- Bottom boundary at the outflow
779	IF ( ibc_uv_b == 0 ) THEN
780	u_p(nzb,:,0) = 0.0_wp
781	v_p(nzb,:,-1) = 0.0_wp
782	ELSE
783	u_p(nzb,:,0) = u_p(nzb+1,:,0)
784	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
785	ENDIF
786	w_p(nzb,:,-1) = 0.0_wp
787
788	!
789	!-- Top boundary at the outflow
790	IF ( ibc_uv_t == 0 ) THEN
791	u_p(nzt+1,:,-1) = u_init(nzt+1)
792	v_p(nzt+1,:,-1) = v_init(nzt+1)
793	ELSE
794	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
795	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
796	ENDIF
797	w_p(nzt:nzt+1,:,-1) = 0.0_wp
798
799	ENDIF
800
801	ENDIF
802
803	IF ( outflow_r ) THEN
804
805	IF ( use_cmax ) THEN
806	u_p(:,:,nx+1) = u(:,:,nx)
807	v_p(:,:,nx+1) = v(:,:,nx)
808	w_p(:,:,nx+1) = w(:,:,nx)
809	ELSEIF ( .NOT. use_cmax ) THEN
810
811	c_max = dx / dt_3d
812
813	c_u_m_l = 0.0_wp
814	c_v_m_l = 0.0_wp
815	c_w_m_l = 0.0_wp
816
817	c_u_m = 0.0_wp
818	c_v_m = 0.0_wp
819	c_w_m = 0.0_wp
820
821	!
822	!-- Calculate the phase speeds for u, v, and w, first local and then
823	!-- average along the outflow boundary.
824	DO k = nzb+1, nzt+1
825	DO j = nys, nyn
826
827	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
828
829	IF ( denom /= 0.0_wp ) THEN
830	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
831	IF ( c_u(k,j) < 0.0_wp ) THEN
832	c_u(k,j) = 0.0_wp
833	ELSEIF ( c_u(k,j) > c_max ) THEN
834	c_u(k,j) = c_max
835	ENDIF
836	ELSE
837	c_u(k,j) = c_max
838	ENDIF
839
840	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
841
842	IF ( denom /= 0.0_wp ) THEN
843	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
844	IF ( c_v(k,j) < 0.0_wp ) THEN
845	c_v(k,j) = 0.0_wp
846	ELSEIF ( c_v(k,j) > c_max ) THEN
847	c_v(k,j) = c_max
848	ENDIF
849	ELSE
850	c_v(k,j) = c_max
851	ENDIF
852
853	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
854
855	IF ( denom /= 0.0_wp ) THEN
856	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
857	IF ( c_w(k,j) < 0.0_wp ) THEN
858	c_w(k,j) = 0.0_wp
859	ELSEIF ( c_w(k,j) > c_max ) THEN
860	c_w(k,j) = c_max
861	ENDIF
862	ELSE
863	c_w(k,j) = c_max
864	ENDIF
865
866	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
867	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
868	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
869
870	ENDDO
871	ENDDO
872
873	#if defined( __parallel )
874	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
875	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
876	MPI_SUM, comm1dy, ierr )
877	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
878	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
879	MPI_SUM, comm1dy, ierr )
880	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
881	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
882	MPI_SUM, comm1dy, ierr )
883	#else
884	c_u_m = c_u_m_l
885	c_v_m = c_v_m_l
886	c_w_m = c_w_m_l
887	#endif
888
889	c_u_m = c_u_m / (ny+1)
890	c_v_m = c_v_m / (ny+1)
891	c_w_m = c_w_m / (ny+1)
892
893	!
894	!-- Save old timelevels for the next timestep
895	IF ( intermediate_timestep_count == 1 ) THEN
896	u_m_r(:,:,:) = u(:,:,nx-1:nx)
897	v_m_r(:,:,:) = v(:,:,nx-1:nx)
898	w_m_r(:,:,:) = w(:,:,nx-1:nx)
899	ENDIF
900
901	!
902	!-- Calculate the new velocities
903	DO k = nzb+1, nzt+1
904	DO j = nysg, nyng
905	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
906	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
907
908	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
909	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
910
911	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
912	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
913	ENDDO
914	ENDDO
915
916	!
917	!-- Bottom boundary at the outflow
918	IF ( ibc_uv_b == 0 ) THEN
919	u_p(nzb,:,nx+1) = 0.0_wp
920	v_p(nzb,:,nx+1) = 0.0_wp
921	ELSE
922	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
923	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
924	ENDIF
925	w_p(nzb,:,nx+1) = 0.0_wp
926
927	!
928	!-- Top boundary at the outflow
929	IF ( ibc_uv_t == 0 ) THEN
930	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
931	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
932	ELSE
933	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
934	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
935	ENDIF
936	w(nzt:nzt+1,:,nx+1) = 0.0_wp
937
938	ENDIF
939
940	ENDIF
941
942	END SUBROUTINE boundary_conds

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