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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1320

Last change on this file since 1320 was 1320, checked in by raasch, 10 years ago
ONLY-attribute added to USE-statements, kind-parameters added to all INTEGER and REAL declaration statements, kinds are defined in new module kinds, old module precision_kind is removed, revision history before 2012 removed, comment fields (!:) to be used for variable explanations added to all variable declaration statements
Property svn:keywords set to `Id`
File size: 30.3 KB

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

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