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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1398

Last change on this file since 1398 was 1398, checked in by heinze, 10 years ago
adjustments in case of nudging + bugfix for KIND in CMPLX function
Property svn:keywords set to `Id`
File size: 31.0 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	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
23	! for large_scale_forcing
24	!
25	! Former revisions:
26	! -----------------
27	! $Id: boundary_conds.f90 1398 2014-05-07 11:15:00Z heinze $
28	!
29	! 1380 2014-04-28 12:40:45Z heinze
30	! Adjust Dirichlet-condition at the top for pt in case of nudging
31	!
32	! 1361 2014-04-16 15:17:48Z hoffmann
33	! Bottom and top boundary conditions of rain water content (qr) and
34	! rain drop concentration (nr) changed to Dirichlet
35	!
36	! 1353 2014-04-08 15:21:23Z heinze
37	! REAL constants provided with KIND-attribute
38	!
39	! 1320 2014-03-20 08:40:49Z raasch
40	! ONLY-attribute added to USE-statements,
41	! kind-parameters added to all INTEGER and REAL declaration statements,
42	! kinds are defined in new module kinds,
43	! revision history before 2012 removed,
44	! comment fields (!:) to be used for variable explanations added to
45	! all variable declaration statements
46	!
47	! 1257 2013-11-08 15:18:40Z raasch
48	! loop independent clauses added
49	!
50	! 1241 2013-10-30 11:36:58Z heinze
51	! Adjust ug and vg at each timestep in case of large_scale_forcing
52	!
53	! 1159 2013-05-21 11:58:22Z fricke
54	! Bugfix: Neumann boundary conditions for the velocity components at the
55	! outflow are in fact radiation boundary conditions using the maximum phase
56	! velocity that ensures numerical stability (CFL-condition).
57	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
58	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
59	! u_p, v_p, w_p
60	!
61	! 1115 2013-03-26 18:16:16Z hoffmann
62	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
63	! boundary-conditions
64	!
65	! 1113 2013-03-10 02:48:14Z raasch
66	! GPU-porting
67	! dummy argument "range" removed
68	! Bugfix: wrong index in loops of radiation boundary condition
69	!
70	! 1053 2012-11-13 17:11:03Z hoffmann
71	! boundary conditions for the two new prognostic equations (nr, qr) of the
72	! two-moment cloud scheme
73	!
74	! 1036 2012-10-22 13:43:42Z raasch
75	! code put under GPL (PALM 3.9)
76	!
77	! 996 2012-09-07 10:41:47Z raasch
78	! little reformatting
79	!
80	! 978 2012-08-09 08:28:32Z fricke
81	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
82	! Outflow boundary conditions for the velocity components can be set to Neumann
83	! conditions or to radiation conditions with a horizontal averaged phase
84	! velocity.
85	!
86	! 875 2012-04-02 15:35:15Z gryschka
87	! Bugfix in case of dirichlet inflow bc at the right or north boundary
88	!
89	! Revision 1.1 1997/09/12 06:21:34 raasch
90	! Initial revision
91	!
92	!
93	! Description:
94	! ------------
95	! Boundary conditions for the prognostic quantities.
96	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
97	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
98	! handled in routine exchange_horiz. Pressure boundary conditions are
99	! explicitly set in routines pres, poisfft, poismg and sor.
100	!------------------------------------------------------------------------------!
101
102	USE arrays_3d, &
103	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, &
104	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
105	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
106	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
107	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
108	pt_init
109
110	USE control_parameters, &
111	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
112	cloud_physics, dt_3d, humidity, &
113	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_sa_t, ibc_uv_b, ibc_uv_t, &
114	icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s, &
115	intermediate_timestep_count, large_scale_forcing, ocean, &
116	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
117	precipitation, tsc, use_cmax, &
118	nudging
119
120	USE grid_variables, &
121	ONLY: ddx, ddy, dx, dy
122
123	USE indices, &
124	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
125	nzb, nzb_s_inner, nzb_w_inner, nzt
126
127	USE kinds
128
129	USE pegrid
130
131
132	IMPLICIT NONE
133
134	INTEGER(iwp) :: i !:
135	INTEGER(iwp) :: j !:
136	INTEGER(iwp) :: k !:
137
138	REAL(wp) :: c_max !:
139	REAL(wp) :: denom !:
140
141
142	!
143	!-- Bottom boundary
144	IF ( ibc_uv_b == 1 ) THEN
145	!$acc kernels present( u_p, v_p )
146	u_p(nzb,:,:) = u_p(nzb+1,:,:)
147	v_p(nzb,:,:) = v_p(nzb+1,:,:)
148	!$acc end kernels
149	ENDIF
150
151	!$acc kernels present( nzb_w_inner, w_p )
152	DO i = nxlg, nxrg
153	DO j = nysg, nyng
154	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
155	ENDDO
156	ENDDO
157	!$acc end kernels
158
159	!
160	!-- Top boundary
161	IF ( ibc_uv_t == 0 ) THEN
162	!$acc kernels present( u_init, u_p, v_init, v_p )
163	u_p(nzt+1,:,:) = u_init(nzt+1)
164	v_p(nzt+1,:,:) = v_init(nzt+1)
165	!$acc end kernels
166	ELSE
167	!$acc kernels present( u_p, v_p )
168	u_p(nzt+1,:,:) = u_p(nzt,:,:)
169	v_p(nzt+1,:,:) = v_p(nzt,:,:)
170	!$acc end kernels
171	ENDIF
172	!$acc kernels present( w_p )
173	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
174	!$acc end kernels
175
176	!
177	!-- Temperature at bottom boundary.
178	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
179	!-- the sea surface temperature of the coupled ocean model.
180	IF ( ibc_pt_b == 0 ) THEN
181	!$acc kernels present( nzb_s_inner, pt, pt_p )
182	!$acc loop independent
183	DO i = nxlg, nxrg
184	!$acc loop independent
185	DO j = nysg, nyng
186	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
187	ENDDO
188	ENDDO
189	!$acc end kernels
190	ELSEIF ( ibc_pt_b == 1 ) THEN
191	!$acc kernels present( nzb_s_inner, pt_p )
192	!$acc loop independent
193	DO i = nxlg, nxrg
194	!$acc loop independent
195	DO j = nysg, nyng
196	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
197	ENDDO
198	ENDDO
199	!$acc end kernels
200	ENDIF
201
202	!
203	!-- Temperature at top boundary
204	IF ( ibc_pt_t == 0 ) THEN
205	!$acc kernels present( pt, pt_p )
206	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
207	!
208	!-- In case of nudging adjust top boundary to pt which is
209	!-- read in from NUDGING-DATA
210	IF ( nudging ) THEN
211	pt_p(nzt+1,:,:) = pt_init(nzt+1)
212	ENDIF
213	!$acc end kernels
214	ELSEIF ( ibc_pt_t == 1 ) THEN
215	!$acc kernels present( pt_p )
216	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
217	!$acc end kernels
218	ELSEIF ( ibc_pt_t == 2 ) THEN
219	!$acc kernels present( dzu, pt_p )
220	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
221	!$acc end kernels
222	ENDIF
223
224	!
225	!-- Boundary conditions for TKE
226	!-- Generally Neumann conditions with de/dz=0 are assumed
227	IF ( .NOT. constant_diffusion ) THEN
228	!$acc kernels present( e_p, nzb_s_inner )
229	!$acc loop independent
230	DO i = nxlg, nxrg
231	!$acc loop independent
232	DO j = nysg, nyng
233	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
234	ENDDO
235	ENDDO
236	e_p(nzt+1,:,:) = e_p(nzt,:,:)
237	!$acc end kernels
238	ENDIF
239
240	!
241	!-- Boundary conditions for salinity
242	IF ( ocean ) THEN
243	!
244	!-- Bottom boundary: Neumann condition because salinity flux is always
245	!-- given
246	DO i = nxlg, nxrg
247	DO j = nysg, nyng
248	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
249	ENDDO
250	ENDDO
251
252	!
253	!-- Top boundary: Dirichlet or Neumann
254	IF ( ibc_sa_t == 0 ) THEN
255	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
256	ELSEIF ( ibc_sa_t == 1 ) THEN
257	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
258	ENDIF
259
260	ENDIF
261
262	!
263	!-- Boundary conditions for total water content or scalar,
264	!-- bottom and top boundary (see also temperature)
265	IF ( humidity .OR. passive_scalar ) THEN
266	!
267	!-- Surface conditions for constant_humidity_flux
268	IF ( ibc_q_b == 0 ) THEN
269	DO i = nxlg, nxrg
270	DO j = nysg, nyng
271	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
272	ENDDO
273	ENDDO
274	ELSE
275	DO i = nxlg, nxrg
276	DO j = nysg, nyng
277	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
278	ENDDO
279	ENDDO
280	ENDIF
281	!
282	!-- Top boundary
283	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
284
285	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
286	!
287	!-- Surface conditions rain water (Dirichlet)
288	DO i = nxlg, nxrg
289	DO j = nysg, nyng
290	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
291	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
292	ENDDO
293	ENDDO
294	!
295	!-- Top boundary condition for rain water (Dirichlet)
296	qr_p(nzt+1,:,:) = 0.0_wp
297	nr_p(nzt+1,:,:) = 0.0_wp
298
299	ENDIF
300	!
301	!-- In case of inflow at the south boundary the boundary for v is at nys
302	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
303	!-- Since in prognostic_equations (cache optimized version) these levels are
304	!-- handled as a prognostic level, boundary values have to be restored here.
305	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
306	IF ( inflow_s ) THEN
307	v_p(:,nys,:) = v_p(:,nys-1,:)
308	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
309	ELSEIF ( inflow_n ) THEN
310	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
311	ELSEIF ( inflow_l ) THEN
312	u_p(:,:,nxl) = u_p(:,:,nxl-1)
313	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
314	ELSEIF ( inflow_r ) THEN
315	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
316	ENDIF
317
318	!
319	!-- Lateral boundary conditions for scalar quantities at the outflow
320	IF ( outflow_s ) THEN
321	pt_p(:,nys-1,:) = pt_p(:,nys,:)
322	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
323	IF ( humidity .OR. passive_scalar ) THEN
324	q_p(:,nys-1,:) = q_p(:,nys,:)
325	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
326	precipitation) THEN
327	qr_p(:,nys-1,:) = qr_p(:,nys,:)
328	nr_p(:,nys-1,:) = nr_p(:,nys,:)
329	ENDIF
330	ENDIF
331	ELSEIF ( outflow_n ) THEN
332	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
333	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
334	IF ( humidity .OR. passive_scalar ) THEN
335	q_p(:,nyn+1,:) = q_p(:,nyn,:)
336	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
337	precipitation ) THEN
338	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
339	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
340	ENDIF
341	ENDIF
342	ELSEIF ( outflow_l ) THEN
343	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
344	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
345	IF ( humidity .OR. passive_scalar ) THEN
346	q_p(:,:,nxl-1) = q_p(:,:,nxl)
347	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
348	precipitation ) THEN
349	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
350	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
351	ENDIF
352	ENDIF
353	ELSEIF ( outflow_r ) THEN
354	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
355	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
356	IF ( humidity .OR. passive_scalar ) THEN
357	q_p(:,:,nxr+1) = q_p(:,:,nxr)
358	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
359	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
360	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
361	ENDIF
362	ENDIF
363	ENDIF
364
365	ENDIF
366
367	!
368	!-- Radiation boundary conditions for the velocities at the respective outflow.
369	!-- The phase velocity is either assumed to the maximum phase velocity that
370	!-- ensures numerical stability (CFL-condition) or calculated after
371	!-- Orlanski(1976) and averaged along the outflow boundary.
372	IF ( outflow_s ) THEN
373
374	IF ( use_cmax ) THEN
375	u_p(:,-1,:) = u(:,0,:)
376	v_p(:,0,:) = v(:,1,:)
377	w_p(:,-1,:) = w(:,0,:)
378	ELSEIF ( .NOT. use_cmax ) THEN
379
380	c_max = dy / dt_3d
381
382	c_u_m_l = 0.0_wp
383	c_v_m_l = 0.0_wp
384	c_w_m_l = 0.0_wp
385
386	c_u_m = 0.0_wp
387	c_v_m = 0.0_wp
388	c_w_m = 0.0_wp
389
390	!
391	!-- Calculate the phase speeds for u, v, and w, first local and then
392	!-- average along the outflow boundary.
393	DO k = nzb+1, nzt+1
394	DO i = nxl, nxr
395
396	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
397
398	IF ( denom /= 0.0_wp ) THEN
399	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
400	IF ( c_u(k,i) < 0.0_wp ) THEN
401	c_u(k,i) = 0.0_wp
402	ELSEIF ( c_u(k,i) > c_max ) THEN
403	c_u(k,i) = c_max
404	ENDIF
405	ELSE
406	c_u(k,i) = c_max
407	ENDIF
408
409	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
410
411	IF ( denom /= 0.0_wp ) THEN
412	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
413	IF ( c_v(k,i) < 0.0_wp ) THEN
414	c_v(k,i) = 0.0_wp
415	ELSEIF ( c_v(k,i) > c_max ) THEN
416	c_v(k,i) = c_max
417	ENDIF
418	ELSE
419	c_v(k,i) = c_max
420	ENDIF
421
422	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
423
424	IF ( denom /= 0.0_wp ) THEN
425	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
426	IF ( c_w(k,i) < 0.0_wp ) THEN
427	c_w(k,i) = 0.0_wp
428	ELSEIF ( c_w(k,i) > c_max ) THEN
429	c_w(k,i) = c_max
430	ENDIF
431	ELSE
432	c_w(k,i) = c_max
433	ENDIF
434
435	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
436	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
437	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
438
439	ENDDO
440	ENDDO
441
442	#if defined( __parallel )
443	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
444	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
445	MPI_SUM, comm1dx, ierr )
446	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
447	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
448	MPI_SUM, comm1dx, ierr )
449	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
450	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
451	MPI_SUM, comm1dx, ierr )
452	#else
453	c_u_m = c_u_m_l
454	c_v_m = c_v_m_l
455	c_w_m = c_w_m_l
456	#endif
457
458	c_u_m = c_u_m / (nx+1)
459	c_v_m = c_v_m / (nx+1)
460	c_w_m = c_w_m / (nx+1)
461
462	!
463	!-- Save old timelevels for the next timestep
464	IF ( intermediate_timestep_count == 1 ) THEN
465	u_m_s(:,:,:) = u(:,0:1,:)
466	v_m_s(:,:,:) = v(:,1:2,:)
467	w_m_s(:,:,:) = w(:,0:1,:)
468	ENDIF
469
470	!
471	!-- Calculate the new velocities
472	DO k = nzb+1, nzt+1
473	DO i = nxlg, nxrg
474	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
475	( u(k,-1,i) - u(k,0,i) ) * ddy
476
477	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
478	( v(k,0,i) - v(k,1,i) ) * ddy
479
480	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
481	( w(k,-1,i) - w(k,0,i) ) * ddy
482	ENDDO
483	ENDDO
484
485	!
486	!-- Bottom boundary at the outflow
487	IF ( ibc_uv_b == 0 ) THEN
488	u_p(nzb,-1,:) = 0.0_wp
489	v_p(nzb,0,:) = 0.0_wp
490	ELSE
491	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
492	v_p(nzb,0,:) = v_p(nzb+1,0,:)
493	ENDIF
494	w_p(nzb,-1,:) = 0.0_wp
495
496	!
497	!-- Top boundary at the outflow
498	IF ( ibc_uv_t == 0 ) THEN
499	u_p(nzt+1,-1,:) = u_init(nzt+1)
500	v_p(nzt+1,0,:) = v_init(nzt+1)
501	ELSE
502	u_p(nzt+1,-1,:) = u(nzt,-1,:)
503	v_p(nzt+1,0,:) = v(nzt,0,:)
504	ENDIF
505	w_p(nzt:nzt+1,-1,:) = 0.0_wp
506
507	ENDIF
508
509	ENDIF
510
511	IF ( outflow_n ) THEN
512
513	IF ( use_cmax ) THEN
514	u_p(:,ny+1,:) = u(:,ny,:)
515	v_p(:,ny+1,:) = v(:,ny,:)
516	w_p(:,ny+1,:) = w(:,ny,:)
517	ELSEIF ( .NOT. use_cmax ) THEN
518
519	c_max = dy / dt_3d
520
521	c_u_m_l = 0.0_wp
522	c_v_m_l = 0.0_wp
523	c_w_m_l = 0.0_wp
524
525	c_u_m = 0.0_wp
526	c_v_m = 0.0_wp
527	c_w_m = 0.0_wp
528
529	!
530	!-- Calculate the phase speeds for u, v, and w, first local and then
531	!-- average along the outflow boundary.
532	DO k = nzb+1, nzt+1
533	DO i = nxl, nxr
534
535	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
536
537	IF ( denom /= 0.0_wp ) THEN
538	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
539	IF ( c_u(k,i) < 0.0_wp ) THEN
540	c_u(k,i) = 0.0_wp
541	ELSEIF ( c_u(k,i) > c_max ) THEN
542	c_u(k,i) = c_max
543	ENDIF
544	ELSE
545	c_u(k,i) = c_max
546	ENDIF
547
548	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
549
550	IF ( denom /= 0.0_wp ) THEN
551	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
552	IF ( c_v(k,i) < 0.0_wp ) THEN
553	c_v(k,i) = 0.0_wp
554	ELSEIF ( c_v(k,i) > c_max ) THEN
555	c_v(k,i) = c_max
556	ENDIF
557	ELSE
558	c_v(k,i) = c_max
559	ENDIF
560
561	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
562
563	IF ( denom /= 0.0_wp ) THEN
564	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
565	IF ( c_w(k,i) < 0.0_wp ) THEN
566	c_w(k,i) = 0.0_wp
567	ELSEIF ( c_w(k,i) > c_max ) THEN
568	c_w(k,i) = c_max
569	ENDIF
570	ELSE
571	c_w(k,i) = c_max
572	ENDIF
573
574	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
575	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
576	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
577
578	ENDDO
579	ENDDO
580
581	#if defined( __parallel )
582	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
583	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
584	MPI_SUM, comm1dx, ierr )
585	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
586	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
587	MPI_SUM, comm1dx, ierr )
588	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
589	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
590	MPI_SUM, comm1dx, ierr )
591	#else
592	c_u_m = c_u_m_l
593	c_v_m = c_v_m_l
594	c_w_m = c_w_m_l
595	#endif
596
597	c_u_m = c_u_m / (nx+1)
598	c_v_m = c_v_m / (nx+1)
599	c_w_m = c_w_m / (nx+1)
600
601	!
602	!-- Save old timelevels for the next timestep
603	IF ( intermediate_timestep_count == 1 ) THEN
604	u_m_n(:,:,:) = u(:,ny-1:ny,:)
605	v_m_n(:,:,:) = v(:,ny-1:ny,:)
606	w_m_n(:,:,:) = w(:,ny-1:ny,:)
607	ENDIF
608
609	!
610	!-- Calculate the new velocities
611	DO k = nzb+1, nzt+1
612	DO i = nxlg, nxrg
613	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
614	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
615
616	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
617	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
618
619	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
620	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
621	ENDDO
622	ENDDO
623
624	!
625	!-- Bottom boundary at the outflow
626	IF ( ibc_uv_b == 0 ) THEN
627	u_p(nzb,ny+1,:) = 0.0_wp
628	v_p(nzb,ny+1,:) = 0.0_wp
629	ELSE
630	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
631	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
632	ENDIF
633	w_p(nzb,ny+1,:) = 0.0_wp
634
635	!
636	!-- Top boundary at the outflow
637	IF ( ibc_uv_t == 0 ) THEN
638	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
639	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
640	ELSE
641	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
642	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
643	ENDIF
644	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
645
646	ENDIF
647
648	ENDIF
649
650	IF ( outflow_l ) THEN
651
652	IF ( use_cmax ) THEN
653	u_p(:,:,-1) = u(:,:,0)
654	v_p(:,:,0) = v(:,:,1)
655	w_p(:,:,-1) = w(:,:,0)
656	ELSEIF ( .NOT. use_cmax ) THEN
657
658	c_max = dx / dt_3d
659
660	c_u_m_l = 0.0_wp
661	c_v_m_l = 0.0_wp
662	c_w_m_l = 0.0_wp
663
664	c_u_m = 0.0_wp
665	c_v_m = 0.0_wp
666	c_w_m = 0.0_wp
667
668	!
669	!-- Calculate the phase speeds for u, v, and w, first local and then
670	!-- average along the outflow boundary.
671	DO k = nzb+1, nzt+1
672	DO j = nys, nyn
673
674	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
675
676	IF ( denom /= 0.0_wp ) THEN
677	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
678	IF ( c_u(k,j) < 0.0_wp ) THEN
679	c_u(k,j) = 0.0_wp
680	ELSEIF ( c_u(k,j) > c_max ) THEN
681	c_u(k,j) = c_max
682	ENDIF
683	ELSE
684	c_u(k,j) = c_max
685	ENDIF
686
687	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
688
689	IF ( denom /= 0.0_wp ) THEN
690	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
691	IF ( c_v(k,j) < 0.0_wp ) THEN
692	c_v(k,j) = 0.0_wp
693	ELSEIF ( c_v(k,j) > c_max ) THEN
694	c_v(k,j) = c_max
695	ENDIF
696	ELSE
697	c_v(k,j) = c_max
698	ENDIF
699
700	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
701
702	IF ( denom /= 0.0_wp ) THEN
703	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
704	IF ( c_w(k,j) < 0.0_wp ) THEN
705	c_w(k,j) = 0.0_wp
706	ELSEIF ( c_w(k,j) > c_max ) THEN
707	c_w(k,j) = c_max
708	ENDIF
709	ELSE
710	c_w(k,j) = c_max
711	ENDIF
712
713	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
714	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
715	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
716
717	ENDDO
718	ENDDO
719
720	#if defined( __parallel )
721	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
722	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
723	MPI_SUM, comm1dy, ierr )
724	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
725	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
726	MPI_SUM, comm1dy, ierr )
727	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
728	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
729	MPI_SUM, comm1dy, ierr )
730	#else
731	c_u_m = c_u_m_l
732	c_v_m = c_v_m_l
733	c_w_m = c_w_m_l
734	#endif
735
736	c_u_m = c_u_m / (ny+1)
737	c_v_m = c_v_m / (ny+1)
738	c_w_m = c_w_m / (ny+1)
739
740	!
741	!-- Save old timelevels for the next timestep
742	IF ( intermediate_timestep_count == 1 ) THEN
743	u_m_l(:,:,:) = u(:,:,1:2)
744	v_m_l(:,:,:) = v(:,:,0:1)
745	w_m_l(:,:,:) = w(:,:,0:1)
746	ENDIF
747
748	!
749	!-- Calculate the new velocities
750	DO k = nzb+1, nzt+1
751	DO j = nysg, nyng
752	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
753	( u(k,j,0) - u(k,j,1) ) * ddx
754
755	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
756	( v(k,j,-1) - v(k,j,0) ) * ddx
757
758	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
759	( w(k,j,-1) - w(k,j,0) ) * ddx
760	ENDDO
761	ENDDO
762
763	!
764	!-- Bottom boundary at the outflow
765	IF ( ibc_uv_b == 0 ) THEN
766	u_p(nzb,:,0) = 0.0_wp
767	v_p(nzb,:,-1) = 0.0_wp
768	ELSE
769	u_p(nzb,:,0) = u_p(nzb+1,:,0)
770	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
771	ENDIF
772	w_p(nzb,:,-1) = 0.0_wp
773
774	!
775	!-- Top boundary at the outflow
776	IF ( ibc_uv_t == 0 ) THEN
777	u_p(nzt+1,:,-1) = u_init(nzt+1)
778	v_p(nzt+1,:,-1) = v_init(nzt+1)
779	ELSE
780	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
781	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
782	ENDIF
783	w_p(nzt:nzt+1,:,-1) = 0.0_wp
784
785	ENDIF
786
787	ENDIF
788
789	IF ( outflow_r ) THEN
790
791	IF ( use_cmax ) THEN
792	u_p(:,:,nx+1) = u(:,:,nx)
793	v_p(:,:,nx+1) = v(:,:,nx)
794	w_p(:,:,nx+1) = w(:,:,nx)
795	ELSEIF ( .NOT. use_cmax ) THEN
796
797	c_max = dx / dt_3d
798
799	c_u_m_l = 0.0_wp
800	c_v_m_l = 0.0_wp
801	c_w_m_l = 0.0_wp
802
803	c_u_m = 0.0_wp
804	c_v_m = 0.0_wp
805	c_w_m = 0.0_wp
806
807	!
808	!-- Calculate the phase speeds for u, v, and w, first local and then
809	!-- average along the outflow boundary.
810	DO k = nzb+1, nzt+1
811	DO j = nys, nyn
812
813	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
814
815	IF ( denom /= 0.0_wp ) THEN
816	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
817	IF ( c_u(k,j) < 0.0_wp ) THEN
818	c_u(k,j) = 0.0_wp
819	ELSEIF ( c_u(k,j) > c_max ) THEN
820	c_u(k,j) = c_max
821	ENDIF
822	ELSE
823	c_u(k,j) = c_max
824	ENDIF
825
826	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
827
828	IF ( denom /= 0.0_wp ) THEN
829	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
830	IF ( c_v(k,j) < 0.0_wp ) THEN
831	c_v(k,j) = 0.0_wp
832	ELSEIF ( c_v(k,j) > c_max ) THEN
833	c_v(k,j) = c_max
834	ENDIF
835	ELSE
836	c_v(k,j) = c_max
837	ENDIF
838
839	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
840
841	IF ( denom /= 0.0_wp ) THEN
842	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
843	IF ( c_w(k,j) < 0.0_wp ) THEN
844	c_w(k,j) = 0.0_wp
845	ELSEIF ( c_w(k,j) > c_max ) THEN
846	c_w(k,j) = c_max
847	ENDIF
848	ELSE
849	c_w(k,j) = c_max
850	ENDIF
851
852	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
853	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
854	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
855
856	ENDDO
857	ENDDO
858
859	#if defined( __parallel )
860	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
861	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
862	MPI_SUM, comm1dy, ierr )
863	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
864	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
865	MPI_SUM, comm1dy, ierr )
866	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
867	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
868	MPI_SUM, comm1dy, ierr )
869	#else
870	c_u_m = c_u_m_l
871	c_v_m = c_v_m_l
872	c_w_m = c_w_m_l
873	#endif
874
875	c_u_m = c_u_m / (ny+1)
876	c_v_m = c_v_m / (ny+1)
877	c_w_m = c_w_m / (ny+1)
878
879	!
880	!-- Save old timelevels for the next timestep
881	IF ( intermediate_timestep_count == 1 ) THEN
882	u_m_r(:,:,:) = u(:,:,nx-1:nx)
883	v_m_r(:,:,:) = v(:,:,nx-1:nx)
884	w_m_r(:,:,:) = w(:,:,nx-1:nx)
885	ENDIF
886
887	!
888	!-- Calculate the new velocities
889	DO k = nzb+1, nzt+1
890	DO j = nysg, nyng
891	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
892	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
893
894	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
895	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
896
897	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
898	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
899	ENDDO
900	ENDDO
901
902	!
903	!-- Bottom boundary at the outflow
904	IF ( ibc_uv_b == 0 ) THEN
905	u_p(nzb,:,nx+1) = 0.0_wp
906	v_p(nzb,:,nx+1) = 0.0_wp
907	ELSE
908	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
909	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
910	ENDIF
911	w_p(nzb,:,nx+1) = 0.0_wp
912
913	!
914	!-- Top boundary at the outflow
915	IF ( ibc_uv_t == 0 ) THEN
916	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
917	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
918	ELSE
919	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
920	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
921	ENDIF
922	w(nzt:nzt+1,:,nx+1) = 0.0_wp
923
924	ENDIF
925
926	ENDIF
927
928	END SUBROUTINE boundary_conds

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