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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1239

Last change on this file since 1239 was 1239, checked in by heinze, 10 years ago
routines for nudging and large scale forcing from external file added
Property svn:keywords set to `Id`
File size: 29.9 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 1997-2012 Leibniz University Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	! Adjust ug and vg at each timestep in case of large_scale_forcing
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 1239 2013-10-29 10:11:53Z heinze $
27	!
28	! 1159 2013-05-21 11:58:22Z fricke
29	! Bugfix: Neumann boundary conditions for the velocity components at the
30	! outflow are in fact radiation boundary conditions using the maximum phase
31	! velocity that ensures numerical stability (CFL-condition).
32	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
33	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
34	! u_p, v_p, w_p
35	!
36	! 1115 2013-03-26 18:16:16Z hoffmann
37	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
38	! boundary-conditions
39	!
40	! 1113 2013-03-10 02:48:14Z raasch
41	! GPU-porting
42	! dummy argument "range" removed
43	! Bugfix: wrong index in loops of radiation boundary condition
44	!
45	! 1053 2012-11-13 17:11:03Z hoffmann
46	! boundary conditions for the two new prognostic equations (nr, qr) of the
47	! two-moment cloud scheme
48	!
49	! 1036 2012-10-22 13:43:42Z raasch
50	! code put under GPL (PALM 3.9)
51	!
52	! 996 2012-09-07 10:41:47Z raasch
53	! little reformatting
54	!
55	! 978 2012-08-09 08:28:32Z fricke
56	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
57	! Outflow boundary conditions for the velocity components can be set to Neumann
58	! conditions or to radiation conditions with a horizontal averaged phase
59	! velocity.
60	!
61	! 875 2012-04-02 15:35:15Z gryschka
62	! Bugfix in case of dirichlet inflow bc at the right or north boundary
63	!
64	! 767 2011-10-14 06:39:12Z raasch
65	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
66	!
67	! 667 2010-12-23 12:06:00Z suehring/gryschka
68	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
69	! Removed mirror boundary conditions for u and v at the bottom in case of
70	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
71	! in init_3d_model
72	!
73	! 107 2007-08-17 13:54:45Z raasch
74	! Boundary conditions for temperature adjusted for coupled runs,
75	! bugfixes for the radiation boundary conditions at the outflow: radiation
76	! conditions are used for every substep, phase speeds are calculated for the
77	! first Runge-Kutta substep only and then reused, several index values changed
78	!
79	! 95 2007-06-02 16:48:38Z raasch
80	! Boundary conditions for salinity added
81	!
82	! 75 2007-03-22 09:54:05Z raasch
83	! The "main" part sets conditions for time level t+dt instead of level t,
84	! outflow boundary conditions changed from Neumann to radiation condition,
85	! uxrp, vynp eliminated, moisture renamed humidity
86	!
87	! 19 2007-02-23 04:53:48Z raasch
88	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
89	! gridpoints are now calculated by the prognostic equation,
90	! Dirichlet and zero gradient condition for pt established at top boundary
91	!
92	! RCS Log replace by Id keyword, revision history cleaned up
93	!
94	! Revision 1.15 2006/02/23 09:54:55 raasch
95	! Surface boundary conditions in case of topography: nzb replaced by
96	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
97	! unchanged (still using nzb) because a non-flat topography must use a
98	! Prandtl-layer, which don't requires explicit setting of the surface values.
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	USE control_parameters
115	USE grid_variables
116	USE indices
117	USE pegrid
118
119	IMPLICIT NONE
120
121	INTEGER :: i, j, k
122
123	REAL :: c_max, 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	!$acc kernels present( nzb_s_inner, pt, pt_p )
170	DO i = nxlg, nxrg
171	DO j = nysg, nyng
172	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
173	ENDDO
174	ENDDO
175	!$acc end kernels
176	ELSEIF ( ibc_pt_b == 1 ) THEN
177	!$acc kernels present( nzb_s_inner, pt_p )
178	DO i = nxlg, nxrg
179	DO j = nysg, nyng
180	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
181	ENDDO
182	ENDDO
183	!$acc end kernels
184	ENDIF
185
186	!
187	!-- Temperature at top boundary
188	IF ( ibc_pt_t == 0 ) THEN
189	!$acc kernels present( pt, pt_p )
190	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
191	!$acc end kernels
192	ELSEIF ( ibc_pt_t == 1 ) THEN
193	!$acc kernels present( pt_p )
194	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
195	!$acc end kernels
196	ELSEIF ( ibc_pt_t == 2 ) THEN
197	!$acc kernels present( dzu, pt_p )
198	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
199	!$acc end kernels
200	ENDIF
201
202	!
203	!-- Boundary conditions for TKE
204	!-- Generally Neumann conditions with de/dz=0 are assumed
205	IF ( .NOT. constant_diffusion ) THEN
206	!$acc kernels present( e_p, nzb_s_inner )
207	DO i = nxlg, nxrg
208	DO j = nysg, nyng
209	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
210	ENDDO
211	ENDDO
212	e_p(nzt+1,:,:) = e_p(nzt,:,:)
213	!$acc end kernels
214	ENDIF
215
216	!
217	!-- Boundary conditions for salinity
218	IF ( ocean ) THEN
219	!
220	!-- Bottom boundary: Neumann condition because salinity flux is always
221	!-- given
222	DO i = nxlg, nxrg
223	DO j = nysg, nyng
224	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
225	ENDDO
226	ENDDO
227
228	!
229	!-- Top boundary: Dirichlet or Neumann
230	IF ( ibc_sa_t == 0 ) THEN
231	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
232	ELSEIF ( ibc_sa_t == 1 ) THEN
233	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
234	ENDIF
235
236	ENDIF
237
238	!
239	!-- Boundary conditions for total water content or scalar,
240	!-- bottom and top boundary (see also temperature)
241	IF ( humidity .OR. passive_scalar ) THEN
242	!
243	!-- Surface conditions for constant_humidity_flux
244	IF ( ibc_q_b == 0 ) THEN
245	DO i = nxlg, nxrg
246	DO j = nysg, nyng
247	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
248	ENDDO
249	ENDDO
250	ELSE
251	DO i = nxlg, nxrg
252	DO j = nysg, nyng
253	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
254	ENDDO
255	ENDDO
256	ENDIF
257	!
258	!-- Top boundary
259	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
260
261	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
262	precipitation ) THEN
263	!
264	!-- Surface conditions rain water (Neumann)
265	DO i = nxlg, nxrg
266	DO j = nysg, nyng
267	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
268	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
269	ENDDO
270	ENDDO
271	!
272	!-- Top boundary condition for rain water (Neumann)
273	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
274	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
275
276	ENDIF
277	!
278	!-- In case of inflow at the south boundary the boundary for v is at nys
279	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
280	!-- Since in prognostic_equations (cache optimized version) these levels are
281	!-- handled as a prognostic level, boundary values have to be restored here.
282	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
283	IF ( inflow_s ) THEN
284	v_p(:,nys,:) = v_p(:,nys-1,:)
285	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
286	ELSEIF ( inflow_n ) THEN
287	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
288	ELSEIF ( inflow_l ) THEN
289	u_p(:,:,nxl) = u_p(:,:,nxl-1)
290	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
291	ELSEIF ( inflow_r ) THEN
292	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
293	ENDIF
294
295	!
296	!-- Lateral boundary conditions for scalar quantities at the outflow
297	IF ( outflow_s ) THEN
298	pt_p(:,nys-1,:) = pt_p(:,nys,:)
299	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
300	IF ( humidity .OR. passive_scalar ) THEN
301	q_p(:,nys-1,:) = q_p(:,nys,:)
302	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
303	precipitation) THEN
304	qr_p(:,nys-1,:) = qr_p(:,nys,:)
305	nr_p(:,nys-1,:) = nr_p(:,nys,:)
306	ENDIF
307	ENDIF
308	ELSEIF ( outflow_n ) THEN
309	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
310	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
311	IF ( humidity .OR. passive_scalar ) THEN
312	q_p(:,nyn+1,:) = q_p(:,nyn,:)
313	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
314	precipitation ) THEN
315	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
316	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
317	ENDIF
318	ENDIF
319	ELSEIF ( outflow_l ) THEN
320	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
321	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
322	IF ( humidity .OR. passive_scalar ) THEN
323	q_p(:,:,nxl-1) = q_p(:,:,nxl)
324	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
325	precipitation ) THEN
326	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
327	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
328	ENDIF
329	ENDIF
330	ELSEIF ( outflow_r ) THEN
331	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
332	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
333	IF ( humidity .OR. passive_scalar ) THEN
334	q_p(:,:,nxr+1) = q_p(:,:,nxr)
335	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
336	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
337	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
338	ENDIF
339	ENDIF
340	ENDIF
341
342	ENDIF
343
344	!
345	!-- Radiation boundary conditions for the velocities at the respective outflow.
346	!-- The phase velocity is either assumed to the maximum phase velocity that
347	!-- ensures numerical stability (CFL-condition) or calculated after
348	!-- Orlanski(1976) and averaged along the outflow boundary.
349	IF ( outflow_s ) THEN
350
351	IF ( use_cmax ) THEN
352	u_p(:,-1,:) = u(:,0,:)
353	v_p(:,0,:) = v(:,1,:)
354	w_p(:,-1,:) = w(:,0,:)
355	ELSEIF ( .NOT. use_cmax ) THEN
356
357	c_max = dy / dt_3d
358
359	c_u_m_l = 0.0
360	c_v_m_l = 0.0
361	c_w_m_l = 0.0
362
363	c_u_m = 0.0
364	c_v_m = 0.0
365	c_w_m = 0.0
366
367	!
368	!-- Calculate the phase speeds for u, v, and w, first local and then
369	!-- average along the outflow boundary.
370	DO k = nzb+1, nzt+1
371	DO i = nxl, nxr
372
373	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
374
375	IF ( denom /= 0.0 ) THEN
376	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
377	IF ( c_u(k,i) < 0.0 ) THEN
378	c_u(k,i) = 0.0
379	ELSEIF ( c_u(k,i) > c_max ) THEN
380	c_u(k,i) = c_max
381	ENDIF
382	ELSE
383	c_u(k,i) = c_max
384	ENDIF
385
386	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
387
388	IF ( denom /= 0.0 ) THEN
389	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
390	IF ( c_v(k,i) < 0.0 ) THEN
391	c_v(k,i) = 0.0
392	ELSEIF ( c_v(k,i) > c_max ) THEN
393	c_v(k,i) = c_max
394	ENDIF
395	ELSE
396	c_v(k,i) = c_max
397	ENDIF
398
399	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
400
401	IF ( denom /= 0.0 ) THEN
402	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
403	IF ( c_w(k,i) < 0.0 ) THEN
404	c_w(k,i) = 0.0
405	ELSEIF ( c_w(k,i) > c_max ) THEN
406	c_w(k,i) = c_max
407	ENDIF
408	ELSE
409	c_w(k,i) = c_max
410	ENDIF
411
412	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
413	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
414	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
415
416	ENDDO
417	ENDDO
418
419	#if defined( __parallel )
420	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
421	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
422	MPI_SUM, comm1dx, ierr )
423	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
424	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
425	MPI_SUM, comm1dx, ierr )
426	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
427	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
428	MPI_SUM, comm1dx, ierr )
429	#else
430	c_u_m = c_u_m_l
431	c_v_m = c_v_m_l
432	c_w_m = c_w_m_l
433	#endif
434
435	c_u_m = c_u_m / (nx+1)
436	c_v_m = c_v_m / (nx+1)
437	c_w_m = c_w_m / (nx+1)
438
439	!
440	!-- Save old timelevels for the next timestep
441	IF ( intermediate_timestep_count == 1 ) THEN
442	u_m_s(:,:,:) = u(:,0:1,:)
443	v_m_s(:,:,:) = v(:,1:2,:)
444	w_m_s(:,:,:) = w(:,0:1,:)
445	ENDIF
446
447	!
448	!-- Calculate the new velocities
449	DO k = nzb+1, nzt+1
450	DO i = nxlg, nxrg
451	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
452	( u(k,-1,i) - u(k,0,i) ) * ddy
453
454	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
455	( v(k,0,i) - v(k,1,i) ) * ddy
456
457	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
458	( w(k,-1,i) - w(k,0,i) ) * ddy
459	ENDDO
460	ENDDO
461
462	!
463	!-- Bottom boundary at the outflow
464	IF ( ibc_uv_b == 0 ) THEN
465	u_p(nzb,-1,:) = 0.0
466	v_p(nzb,0,:) = 0.0
467	ELSE
468	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
469	v_p(nzb,0,:) = v_p(nzb+1,0,:)
470	ENDIF
471	w_p(nzb,-1,:) = 0.0
472
473	!
474	!-- Top boundary at the outflow
475	IF ( ibc_uv_t == 0 ) THEN
476	u_p(nzt+1,-1,:) = u_init(nzt+1)
477	v_p(nzt+1,0,:) = v_init(nzt+1)
478	ELSE
479	u_p(nzt+1,-1,:) = u(nzt,-1,:)
480	v_p(nzt+1,0,:) = v(nzt,0,:)
481	ENDIF
482	w_p(nzt:nzt+1,-1,:) = 0.0
483
484	ENDIF
485
486	ENDIF
487
488	IF ( outflow_n ) THEN
489
490	IF ( use_cmax ) THEN
491	u_p(:,ny+1,:) = u(:,ny,:)
492	v_p(:,ny+1,:) = v(:,ny,:)
493	w_p(:,ny+1,:) = w(:,ny,:)
494	ELSEIF ( .NOT. use_cmax ) THEN
495
496	c_max = dy / dt_3d
497
498	c_u_m_l = 0.0
499	c_v_m_l = 0.0
500	c_w_m_l = 0.0
501
502	c_u_m = 0.0
503	c_v_m = 0.0
504	c_w_m = 0.0
505
506	!
507	!-- Calculate the phase speeds for u, v, and w, first local and then
508	!-- average along the outflow boundary.
509	DO k = nzb+1, nzt+1
510	DO i = nxl, nxr
511
512	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
513
514	IF ( denom /= 0.0 ) THEN
515	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
516	IF ( c_u(k,i) < 0.0 ) THEN
517	c_u(k,i) = 0.0
518	ELSEIF ( c_u(k,i) > c_max ) THEN
519	c_u(k,i) = c_max
520	ENDIF
521	ELSE
522	c_u(k,i) = c_max
523	ENDIF
524
525	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
526
527	IF ( denom /= 0.0 ) THEN
528	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
529	IF ( c_v(k,i) < 0.0 ) THEN
530	c_v(k,i) = 0.0
531	ELSEIF ( c_v(k,i) > c_max ) THEN
532	c_v(k,i) = c_max
533	ENDIF
534	ELSE
535	c_v(k,i) = c_max
536	ENDIF
537
538	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
539
540	IF ( denom /= 0.0 ) THEN
541	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
542	IF ( c_w(k,i) < 0.0 ) THEN
543	c_w(k,i) = 0.0
544	ELSEIF ( c_w(k,i) > c_max ) THEN
545	c_w(k,i) = c_max
546	ENDIF
547	ELSE
548	c_w(k,i) = c_max
549	ENDIF
550
551	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
552	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
553	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
554
555	ENDDO
556	ENDDO
557
558	#if defined( __parallel )
559	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
560	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
561	MPI_SUM, comm1dx, ierr )
562	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
563	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
564	MPI_SUM, comm1dx, ierr )
565	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
566	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
567	MPI_SUM, comm1dx, ierr )
568	#else
569	c_u_m = c_u_m_l
570	c_v_m = c_v_m_l
571	c_w_m = c_w_m_l
572	#endif
573
574	c_u_m = c_u_m / (nx+1)
575	c_v_m = c_v_m / (nx+1)
576	c_w_m = c_w_m / (nx+1)
577
578	!
579	!-- Save old timelevels for the next timestep
580	IF ( intermediate_timestep_count == 1 ) THEN
581	u_m_n(:,:,:) = u(:,ny-1:ny,:)
582	v_m_n(:,:,:) = v(:,ny-1:ny,:)
583	w_m_n(:,:,:) = w(:,ny-1:ny,:)
584	ENDIF
585
586	!
587	!-- Calculate the new velocities
588	DO k = nzb+1, nzt+1
589	DO i = nxlg, nxrg
590	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
591	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
592
593	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
594	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
595
596	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
597	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
598	ENDDO
599	ENDDO
600
601	!
602	!-- Bottom boundary at the outflow
603	IF ( ibc_uv_b == 0 ) THEN
604	u_p(nzb,ny+1,:) = 0.0
605	v_p(nzb,ny+1,:) = 0.0
606	ELSE
607	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
608	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
609	ENDIF
610	w_p(nzb,ny+1,:) = 0.0
611
612	!
613	!-- Top boundary at the outflow
614	IF ( ibc_uv_t == 0 ) THEN
615	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
616	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
617	ELSE
618	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
619	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
620	ENDIF
621	w_p(nzt:nzt+1,ny+1,:) = 0.0
622
623	ENDIF
624
625	ENDIF
626
627	IF ( outflow_l ) THEN
628
629	IF ( use_cmax ) THEN
630	u_p(:,:,-1) = u(:,:,0)
631	v_p(:,:,0) = v(:,:,1)
632	w_p(:,:,-1) = w(:,:,0)
633	ELSEIF ( .NOT. use_cmax ) THEN
634
635	c_max = dx / dt_3d
636
637	c_u_m_l = 0.0
638	c_v_m_l = 0.0
639	c_w_m_l = 0.0
640
641	c_u_m = 0.0
642	c_v_m = 0.0
643	c_w_m = 0.0
644
645	!
646	!-- Calculate the phase speeds for u, v, and w, first local and then
647	!-- average along the outflow boundary.
648	DO k = nzb+1, nzt+1
649	DO j = nys, nyn
650
651	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
652
653	IF ( denom /= 0.0 ) THEN
654	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
655	IF ( c_u(k,j) < 0.0 ) THEN
656	c_u(k,j) = 0.0
657	ELSEIF ( c_u(k,j) > c_max ) THEN
658	c_u(k,j) = c_max
659	ENDIF
660	ELSE
661	c_u(k,j) = c_max
662	ENDIF
663
664	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
665
666	IF ( denom /= 0.0 ) THEN
667	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
668	IF ( c_v(k,j) < 0.0 ) THEN
669	c_v(k,j) = 0.0
670	ELSEIF ( c_v(k,j) > c_max ) THEN
671	c_v(k,j) = c_max
672	ENDIF
673	ELSE
674	c_v(k,j) = c_max
675	ENDIF
676
677	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
678
679	IF ( denom /= 0.0 ) THEN
680	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
681	IF ( c_w(k,j) < 0.0 ) THEN
682	c_w(k,j) = 0.0
683	ELSEIF ( c_w(k,j) > c_max ) THEN
684	c_w(k,j) = c_max
685	ENDIF
686	ELSE
687	c_w(k,j) = c_max
688	ENDIF
689
690	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
691	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
692	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
693
694	ENDDO
695	ENDDO
696
697	#if defined( __parallel )
698	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
699	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
700	MPI_SUM, comm1dy, ierr )
701	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
702	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
703	MPI_SUM, comm1dy, ierr )
704	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
705	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
706	MPI_SUM, comm1dy, ierr )
707	#else
708	c_u_m = c_u_m_l
709	c_v_m = c_v_m_l
710	c_w_m = c_w_m_l
711	#endif
712
713	c_u_m = c_u_m / (ny+1)
714	c_v_m = c_v_m / (ny+1)
715	c_w_m = c_w_m / (ny+1)
716
717	!
718	!-- Save old timelevels for the next timestep
719	IF ( intermediate_timestep_count == 1 ) THEN
720	u_m_l(:,:,:) = u(:,:,1:2)
721	v_m_l(:,:,:) = v(:,:,0:1)
722	w_m_l(:,:,:) = w(:,:,0:1)
723	ENDIF
724
725	!
726	!-- Calculate the new velocities
727	DO k = nzb+1, nzt+1
728	DO j = nysg, nyng
729	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
730	( u(k,j,0) - u(k,j,1) ) * ddx
731
732	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
733	( v(k,j,-1) - v(k,j,0) ) * ddx
734
735	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
736	( w(k,j,-1) - w(k,j,0) ) * ddx
737	ENDDO
738	ENDDO
739
740	!
741	!-- Bottom boundary at the outflow
742	IF ( ibc_uv_b == 0 ) THEN
743	u_p(nzb,:,0) = 0.0
744	v_p(nzb,:,-1) = 0.0
745	ELSE
746	u_p(nzb,:,0) = u_p(nzb+1,:,0)
747	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
748	ENDIF
749	w_p(nzb,:,-1) = 0.0
750
751	!
752	!-- Top boundary at the outflow
753	IF ( ibc_uv_t == 0 ) THEN
754	u_p(nzt+1,:,-1) = u_init(nzt+1)
755	v_p(nzt+1,:,-1) = v_init(nzt+1)
756	ELSE
757	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
758	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
759	ENDIF
760	w_p(nzt:nzt+1,:,-1) = 0.0
761
762	ENDIF
763
764	ENDIF
765
766	IF ( outflow_r ) THEN
767
768	IF ( use_cmax ) THEN
769	u_p(:,:,nx+1) = u(:,:,nx)
770	v_p(:,:,nx+1) = v(:,:,nx)
771	w_p(:,:,nx+1) = w(:,:,nx)
772	ELSEIF ( .NOT. use_cmax ) THEN
773
774	c_max = dx / dt_3d
775
776	c_u_m_l = 0.0
777	c_v_m_l = 0.0
778	c_w_m_l = 0.0
779
780	c_u_m = 0.0
781	c_v_m = 0.0
782	c_w_m = 0.0
783
784	!
785	!-- Calculate the phase speeds for u, v, and w, first local and then
786	!-- average along the outflow boundary.
787	DO k = nzb+1, nzt+1
788	DO j = nys, nyn
789
790	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
791
792	IF ( denom /= 0.0 ) THEN
793	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
794	IF ( c_u(k,j) < 0.0 ) THEN
795	c_u(k,j) = 0.0
796	ELSEIF ( c_u(k,j) > c_max ) THEN
797	c_u(k,j) = c_max
798	ENDIF
799	ELSE
800	c_u(k,j) = c_max
801	ENDIF
802
803	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
804
805	IF ( denom /= 0.0 ) THEN
806	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
807	IF ( c_v(k,j) < 0.0 ) THEN
808	c_v(k,j) = 0.0
809	ELSEIF ( c_v(k,j) > c_max ) THEN
810	c_v(k,j) = c_max
811	ENDIF
812	ELSE
813	c_v(k,j) = c_max
814	ENDIF
815
816	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
817
818	IF ( denom /= 0.0 ) THEN
819	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
820	IF ( c_w(k,j) < 0.0 ) THEN
821	c_w(k,j) = 0.0
822	ELSEIF ( c_w(k,j) > c_max ) THEN
823	c_w(k,j) = c_max
824	ENDIF
825	ELSE
826	c_w(k,j) = c_max
827	ENDIF
828
829	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
830	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
831	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
832
833	ENDDO
834	ENDDO
835
836	#if defined( __parallel )
837	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
838	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
839	MPI_SUM, comm1dy, ierr )
840	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
841	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
842	MPI_SUM, comm1dy, ierr )
843	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
844	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
845	MPI_SUM, comm1dy, ierr )
846	#else
847	c_u_m = c_u_m_l
848	c_v_m = c_v_m_l
849	c_w_m = c_w_m_l
850	#endif
851
852	c_u_m = c_u_m / (ny+1)
853	c_v_m = c_v_m / (ny+1)
854	c_w_m = c_w_m / (ny+1)
855
856	!
857	!-- Save old timelevels for the next timestep
858	IF ( intermediate_timestep_count == 1 ) THEN
859	u_m_r(:,:,:) = u(:,:,nx-1:nx)
860	v_m_r(:,:,:) = v(:,:,nx-1:nx)
861	w_m_r(:,:,:) = w(:,:,nx-1:nx)
862	ENDIF
863
864	!
865	!-- Calculate the new velocities
866	DO k = nzb+1, nzt+1
867	DO j = nysg, nyng
868	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
869	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
870
871	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
872	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
873
874	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
875	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
876	ENDDO
877	ENDDO
878
879	!
880	!-- Bottom boundary at the outflow
881	IF ( ibc_uv_b == 0 ) THEN
882	u_p(nzb,:,nx+1) = 0.0
883	v_p(nzb,:,nx+1) = 0.0
884	ELSE
885	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
886	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
887	ENDIF
888	w_p(nzb,:,nx+1) = 0.0
889
890	!
891	!-- Top boundary at the outflow
892	IF ( ibc_uv_t == 0 ) THEN
893	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
894	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
895	ELSE
896	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
897	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
898	ENDIF
899	w(nzt:nzt+1,:,nx+1) = 0.0
900
901	ENDIF
902
903	ENDIF
904
905	END SUBROUTINE boundary_conds

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