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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1041

Last change on this file since 1041 was 1037, checked in by raasch, 12 years ago
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1	SUBROUTINE boundary_conds( range )
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	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 1037 2012-10-22 14:10:22Z raasch $
27	!
28	! 1036 2012-10-22 13:43:42Z raasch
29	! code put under GPL (PALM 3.9)
30	!
31	! 996 2012-09-07 10:41:47Z raasch
32	! little reformatting
33	!
34	! 978 2012-08-09 08:28:32Z fricke
35	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
36	! Outflow boundary conditions for the velocity components can be set to Neumann
37	! conditions or to radiation conditions with a horizontal averaged phase
38	! velocity.
39	!
40	! 875 2012-04-02 15:35:15Z gryschka
41	! Bugfix in case of dirichlet inflow bc at the right or north boundary
42	!
43	! 767 2011-10-14 06:39:12Z raasch
44	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
45	!
46	! 667 2010-12-23 12:06:00Z suehring/gryschka
47	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
48	! Removed mirror boundary conditions for u and v at the bottom in case of
49	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
50	! in init_3d_model
51	!
52	! 107 2007-08-17 13:54:45Z raasch
53	! Boundary conditions for temperature adjusted for coupled runs,
54	! bugfixes for the radiation boundary conditions at the outflow: radiation
55	! conditions are used for every substep, phase speeds are calculated for the
56	! first Runge-Kutta substep only and then reused, several index values changed
57	!
58	! 95 2007-06-02 16:48:38Z raasch
59	! Boundary conditions for salinity added
60	!
61	! 75 2007-03-22 09:54:05Z raasch
62	! The "main" part sets conditions for time level t+dt instead of level t,
63	! outflow boundary conditions changed from Neumann to radiation condition,
64	! uxrp, vynp eliminated, moisture renamed humidity
65	!
66	! 19 2007-02-23 04:53:48Z raasch
67	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
68	! gridpoints are now calculated by the prognostic equation,
69	! Dirichlet and zero gradient condition for pt established at top boundary
70	!
71	! RCS Log replace by Id keyword, revision history cleaned up
72	!
73	! Revision 1.15 2006/02/23 09:54:55 raasch
74	! Surface boundary conditions in case of topography: nzb replaced by
75	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
76	! unchanged (still using nzb) because a non-flat topography must use a
77	! Prandtl-layer, which don't requires explicit setting of the surface values.
78	!
79	! Revision 1.1 1997/09/12 06:21:34 raasch
80	! Initial revision
81	!
82	!
83	! Description:
84	! ------------
85	! Boundary conditions for the prognostic quantities (range='main').
86	! In case of non-cyclic lateral boundaries the conditions for velocities at
87	! the outflow are set after the pressure solver has been called (range=
88	! 'outflow_uvw').
89	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
90	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
91	! handled in routine exchange_horiz. Pressure boundary conditions are
92	! explicitly set in routines pres, poisfft, poismg and sor.
93	!------------------------------------------------------------------------------!
94
95	USE arrays_3d
96	USE control_parameters
97	USE grid_variables
98	USE indices
99	USE pegrid
100
101	IMPLICIT NONE
102
103	CHARACTER (LEN=*) :: range
104
105	INTEGER :: i, j, k
106
107	REAL :: c_max, denom
108
109
110	IF ( range == 'main') THEN
111	!
112	!-- Bottom boundary
113	IF ( ibc_uv_b == 1 ) THEN
114	u_p(nzb,:,:) = u_p(nzb+1,:,:)
115	v_p(nzb,:,:) = v_p(nzb+1,:,:)
116	ENDIF
117	DO i = nxlg, nxrg
118	DO j = nysg, nyng
119	w_p(nzb_w_inner(j,i),j,i) = 0.0
120	ENDDO
121	ENDDO
122
123	!
124	!-- Top boundary
125	IF ( ibc_uv_t == 0 ) THEN
126	u_p(nzt+1,:,:) = u_init(nzt+1)
127	v_p(nzt+1,:,:) = v_init(nzt+1)
128	ELSE
129	u_p(nzt+1,:,:) = u_p(nzt,:,:)
130	v_p(nzt+1,:,:) = v_p(nzt,:,:)
131	ENDIF
132	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
133
134	!
135	!-- Temperature at bottom boundary.
136	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
137	!-- the sea surface temperature of the coupled ocean model.
138	IF ( ibc_pt_b == 0 ) THEN
139	DO i = nxlg, nxrg
140	DO j = nysg, nyng
141	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
142	ENDDO
143	ENDDO
144	ELSEIF ( ibc_pt_b == 1 ) THEN
145	DO i = nxlg, nxrg
146	DO j = nysg, nyng
147	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
148	ENDDO
149	ENDDO
150	ENDIF
151
152	!
153	!-- Temperature at top boundary
154	IF ( ibc_pt_t == 0 ) THEN
155	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
156	ELSEIF ( ibc_pt_t == 1 ) THEN
157	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
158	ELSEIF ( ibc_pt_t == 2 ) THEN
159	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
160	ENDIF
161
162	!
163	!-- Boundary conditions for TKE
164	!-- Generally Neumann conditions with de/dz=0 are assumed
165	IF ( .NOT. constant_diffusion ) THEN
166	DO i = nxlg, nxrg
167	DO j = nysg, nyng
168	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
169	ENDDO
170	ENDDO
171	e_p(nzt+1,:,:) = e_p(nzt,:,:)
172	ENDIF
173
174	!
175	!-- Boundary conditions for salinity
176	IF ( ocean ) THEN
177	!
178	!-- Bottom boundary: Neumann condition because salinity flux is always
179	!-- given
180	DO i = nxlg, nxrg
181	DO j = nysg, nyng
182	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
183	ENDDO
184	ENDDO
185
186	!
187	!-- Top boundary: Dirichlet or Neumann
188	IF ( ibc_sa_t == 0 ) THEN
189	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
190	ELSEIF ( ibc_sa_t == 1 ) THEN
191	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
192	ENDIF
193
194	ENDIF
195
196	!
197	!-- Boundary conditions for total water content or scalar,
198	!-- bottom and top boundary (see also temperature)
199	IF ( humidity .OR. passive_scalar ) THEN
200	!
201	!-- Surface conditions for constant_humidity_flux
202	IF ( ibc_q_b == 0 ) THEN
203	DO i = nxlg, nxrg
204	DO j = nysg, nyng
205	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
206	ENDDO
207	ENDDO
208	ELSE
209	DO i = nxlg, nxrg
210	DO j = nysg, nyng
211	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
212	ENDDO
213	ENDDO
214	ENDIF
215	!
216	!-- Top boundary
217	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
218
219	ENDIF
220
221	!
222	!-- In case of inflow at the south boundary the boundary for v is at nys
223	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
224	!-- Since in prognostic_equations (cache optimized version) these levels are
225	!-- handled as a prognostic level, boundary values have to be restored here.
226	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
227	IF ( inflow_s ) THEN
228	v_p(:,nys,:) = v_p(:,nys-1,:)
229	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
230	ELSEIF ( inflow_n ) THEN
231	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
232	ELSEIF ( inflow_l ) THEN
233	u_p(:,:,nxl) = u_p(:,:,nxl-1)
234	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
235	ELSEIF ( inflow_r ) THEN
236	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
237	ENDIF
238
239	!
240	!-- Lateral boundary conditions for scalar quantities at the outflow
241	IF ( outflow_s ) THEN
242	pt_p(:,nys-1,:) = pt_p(:,nys,:)
243	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
244	IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:)
245	ELSEIF ( outflow_n ) THEN
246	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
247	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
248	IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:)
249	ELSEIF ( outflow_l ) THEN
250	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
251	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
252	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl)
253	ELSEIF ( outflow_r ) THEN
254	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
255	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
256	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr)
257	ENDIF
258
259	ENDIF
260
261	!
262	!-- Neumann or Radiation boundary condition for the velocities at the
263	!-- respective outflow
264	IF ( outflow_s ) THEN
265
266	IF ( bc_ns_dirneu ) THEN
267	u(:,-1,:) = u(:,0,:)
268	v(:,0,:) = v(:,1,:)
269	w(:,-1,:) = w(:,0,:)
270	ELSEIF ( bc_ns_dirrad ) THEN
271
272	c_max = dy / dt_3d
273
274	c_u_m_l = 0.0
275	c_v_m_l = 0.0
276	c_w_m_l = 0.0
277
278	c_u_m = 0.0
279	c_v_m = 0.0
280	c_w_m = 0.0
281
282	!
283	!-- Calculate the phase speeds for u, v, and w, first local and then
284	!-- average along the outflow boundary.
285	DO k = nzb+1, nzt+1
286	DO i = nxl, nxr
287
288	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
289
290	IF ( denom /= 0.0 ) THEN
291	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
292	IF ( c_u(k,i) < 0.0 ) THEN
293	c_u(k,i) = 0.0
294	ELSEIF ( c_u(k,i) > c_max ) THEN
295	c_u(k,i) = c_max
296	ENDIF
297	ELSE
298	c_u(k,i) = c_max
299	ENDIF
300
301	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
302
303	IF ( denom /= 0.0 ) THEN
304	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
305	IF ( c_v(k,i) < 0.0 ) THEN
306	c_v(k,i) = 0.0
307	ELSEIF ( c_v(k,i) > c_max ) THEN
308	c_v(k,i) = c_max
309	ENDIF
310	ELSE
311	c_v(k,i) = c_max
312	ENDIF
313
314	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
315
316	IF ( denom /= 0.0 ) THEN
317	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
318	IF ( c_w(k,i) < 0.0 ) THEN
319	c_w(k,i) = 0.0
320	ELSEIF ( c_w(k,i) > c_max ) THEN
321	c_w(k,i) = c_max
322	ENDIF
323	ELSE
324	c_w(k,i) = c_max
325	ENDIF
326
327	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
328	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
329	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
330
331	ENDDO
332	ENDDO
333
334	#if defined( __parallel )
335	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
336	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
337	MPI_SUM, comm1dx, ierr )
338	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
339	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
340	MPI_SUM, comm1dx, ierr )
341	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
342	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
343	MPI_SUM, comm1dx, ierr )
344	#else
345	c_u_m = c_u_m_l
346	c_v_m = c_v_m_l
347	c_w_m = c_w_m_l
348	#endif
349
350	c_u_m = c_u_m / (nx+1)
351	c_v_m = c_v_m / (nx+1)
352	c_w_m = c_w_m / (nx+1)
353
354	!
355	!-- Save old timelevels for the next timestep
356	IF ( intermediate_timestep_count == 1 ) THEN
357	u_m_s(:,:,:) = u(:,0:1,:)
358	v_m_s(:,:,:) = v(:,1:2,:)
359	w_m_s(:,:,:) = w(:,0:1,:)
360	ENDIF
361
362	!
363	!-- Calculate the new velocities
364	DO k = nzb+1, nzt+1
365	DO i = nxlg, nxrg
366	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
367	( u(k,-1,i) - u(k,0,i) ) * ddy
368
369	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
370	( v(k,0,i) - v(k,1,i) ) * ddy
371
372	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
373	( w(k,-1,i) - w(k,0,i) ) * ddy
374	ENDDO
375	ENDDO
376
377	!
378	!-- Bottom boundary at the outflow
379	IF ( ibc_uv_b == 0 ) THEN
380	u_p(nzb,-1,:) = 0.0
381	v_p(nzb,0,:) = 0.0
382	ELSE
383	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
384	v_p(nzb,0,:) = v_p(nzb+1,0,:)
385	ENDIF
386	w_p(nzb,-1,:) = 0.0
387
388	!
389	!-- Top boundary at the outflow
390	IF ( ibc_uv_t == 0 ) THEN
391	u_p(nzt+1,-1,:) = u_init(nzt+1)
392	v_p(nzt+1,0,:) = v_init(nzt+1)
393	ELSE
394	u_p(nzt+1,-1,:) = u(nzt,-1,:)
395	v_p(nzt+1,0,:) = v(nzt,0,:)
396	ENDIF
397	w_p(nzt:nzt+1,-1,:) = 0.0
398
399	ENDIF
400
401	ENDIF
402
403	IF ( outflow_n ) THEN
404
405	IF ( bc_ns_neudir ) THEN
406	u(:,ny+1,:) = u(:,ny,:)
407	v(:,ny+1,:) = v(:,ny,:)
408	w(:,ny+1,:) = w(:,ny,:)
409	ELSEIF ( bc_ns_dirrad ) THEN
410
411	c_max = dy / dt_3d
412
413	c_u_m_l = 0.0
414	c_v_m_l = 0.0
415	c_w_m_l = 0.0
416
417	c_u_m = 0.0
418	c_v_m = 0.0
419	c_w_m = 0.0
420
421	!
422	!-- Calculate the phase speeds for u, v, and w, first local and then
423	!-- average along the outflow boundary.
424	DO k = nzb+1, nzt+1
425	DO i = nxl, nxr
426
427	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
428
429	IF ( denom /= 0.0 ) THEN
430	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
431	IF ( c_u(k,i) < 0.0 ) THEN
432	c_u(k,i) = 0.0
433	ELSEIF ( c_u(k,i) > c_max ) THEN
434	c_u(k,i) = c_max
435	ENDIF
436	ELSE
437	c_u(k,i) = c_max
438	ENDIF
439
440	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
441
442	IF ( denom /= 0.0 ) THEN
443	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
444	IF ( c_v(k,i) < 0.0 ) THEN
445	c_v(k,i) = 0.0
446	ELSEIF ( c_v(k,i) > c_max ) THEN
447	c_v(k,i) = c_max
448	ENDIF
449	ELSE
450	c_v(k,i) = c_max
451	ENDIF
452
453	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
454
455	IF ( denom /= 0.0 ) THEN
456	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
457	IF ( c_w(k,i) < 0.0 ) THEN
458	c_w(k,i) = 0.0
459	ELSEIF ( c_w(k,i) > c_max ) THEN
460	c_w(k,i) = c_max
461	ENDIF
462	ELSE
463	c_w(k,i) = c_max
464	ENDIF
465
466	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
467	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
468	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
469
470	ENDDO
471	ENDDO
472
473	#if defined( __parallel )
474	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
475	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
476	MPI_SUM, comm1dx, ierr )
477	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
478	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
479	MPI_SUM, comm1dx, ierr )
480	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
481	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
482	MPI_SUM, comm1dx, ierr )
483	#else
484	c_u_m = c_u_m_l
485	c_v_m = c_v_m_l
486	c_w_m = c_w_m_l
487	#endif
488
489	c_u_m = c_u_m / (nx+1)
490	c_v_m = c_v_m / (nx+1)
491	c_w_m = c_w_m / (nx+1)
492
493	!
494	!-- Save old timelevels for the next timestep
495	IF ( intermediate_timestep_count == 1 ) THEN
496	u_m_n(:,:,:) = u(:,ny-1:ny,:)
497	v_m_n(:,:,:) = v(:,ny-1:ny,:)
498	w_m_n(:,:,:) = w(:,ny-1:ny,:)
499	ENDIF
500
501	!
502	!-- Calculate the new velocities
503	DO k = nzb+1, nzt+1
504	DO i = nxlg, nxrg
505	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
506	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
507
508	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
509	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
510
511	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
512	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
513	ENDDO
514	ENDDO
515
516	!
517	!-- Bottom boundary at the outflow
518	IF ( ibc_uv_b == 0 ) THEN
519	u_p(nzb,ny+1,:) = 0.0
520	v_p(nzb,ny+1,:) = 0.0
521	ELSE
522	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
523	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
524	ENDIF
525	w_p(nzb,ny+1,:) = 0.0
526
527	!
528	!-- Top boundary at the outflow
529	IF ( ibc_uv_t == 0 ) THEN
530	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
531	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
532	ELSE
533	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
534	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
535	ENDIF
536	w_p(nzt:nzt+1,ny+1,:) = 0.0
537
538	ENDIF
539
540	ENDIF
541
542	IF ( outflow_l ) THEN
543
544	IF ( bc_lr_neudir ) THEN
545	u(:,:,-1) = u(:,:,0)
546	v(:,:,0) = v(:,:,1)
547	w(:,:,-1) = w(:,:,0)
548	ELSEIF ( bc_ns_dirrad ) THEN
549
550	c_max = dx / dt_3d
551
552	c_u_m_l = 0.0
553	c_v_m_l = 0.0
554	c_w_m_l = 0.0
555
556	c_u_m = 0.0
557	c_v_m = 0.0
558	c_w_m = 0.0
559
560	!
561	!-- Calculate the phase speeds for u, v, and w, first local and then
562	!-- average along the outflow boundary.
563	DO k = nzb+1, nzt+1
564	DO j = nys, nyn
565
566	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
567
568	IF ( denom /= 0.0 ) THEN
569	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
570	IF ( c_u(k,j) < 0.0 ) THEN
571	c_u(k,j) = 0.0
572	ELSEIF ( c_u(k,j) > c_max ) THEN
573	c_u(k,j) = c_max
574	ENDIF
575	ELSE
576	c_u(k,j) = c_max
577	ENDIF
578
579	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
580
581	IF ( denom /= 0.0 ) THEN
582	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
583	IF ( c_v(k,j) < 0.0 ) THEN
584	c_v(k,j) = 0.0
585	ELSEIF ( c_v(k,j) > c_max ) THEN
586	c_v(k,j) = c_max
587	ENDIF
588	ELSE
589	c_v(k,j) = c_max
590	ENDIF
591
592	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
593
594	IF ( denom /= 0.0 ) THEN
595	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
596	IF ( c_w(k,j) < 0.0 ) THEN
597	c_w(k,j) = 0.0
598	ELSEIF ( c_w(k,j) > c_max ) THEN
599	c_w(k,j) = c_max
600	ENDIF
601	ELSE
602	c_w(k,j) = c_max
603	ENDIF
604
605	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
606	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
607	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
608
609	ENDDO
610	ENDDO
611
612	#if defined( __parallel )
613	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
614	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
615	MPI_SUM, comm1dy, ierr )
616	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
617	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
618	MPI_SUM, comm1dy, ierr )
619	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
620	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
621	MPI_SUM, comm1dy, ierr )
622	#else
623	c_u_m = c_u_m_l
624	c_v_m = c_v_m_l
625	c_w_m = c_w_m_l
626	#endif
627
628	c_u_m = c_u_m / (ny+1)
629	c_v_m = c_v_m / (ny+1)
630	c_w_m = c_w_m / (ny+1)
631
632	!
633	!-- Save old timelevels for the next timestep
634	IF ( intermediate_timestep_count == 1 ) THEN
635	u_m_l(:,:,:) = u(:,:,1:2)
636	v_m_l(:,:,:) = v(:,:,0:1)
637	w_m_l(:,:,:) = w(:,:,0:1)
638	ENDIF
639
640	!
641	!-- Calculate the new velocities
642	DO k = nzb+1, nzt+1
643	DO i = nxlg, nxrg
644	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
645	( u(k,j,0) - u(k,j,1) ) * ddx
646
647	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
648	( v(k,j,-1) - v(k,j,0) ) * ddx
649
650	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
651	( w(k,j,-1) - w(k,j,0) ) * ddx
652	ENDDO
653	ENDDO
654
655	!
656	!-- Bottom boundary at the outflow
657	IF ( ibc_uv_b == 0 ) THEN
658	u_p(nzb,:,0) = 0.0
659	v_p(nzb,:,-1) = 0.0
660	ELSE
661	u_p(nzb,:,0) = u_p(nzb+1,:,0)
662	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
663	ENDIF
664	w_p(nzb,:,-1) = 0.0
665
666	!
667	!-- Top boundary at the outflow
668	IF ( ibc_uv_t == 0 ) THEN
669	u_p(nzt+1,:,-1) = u_init(nzt+1)
670	v_p(nzt+1,:,-1) = v_init(nzt+1)
671	ELSE
672	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
673	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
674	ENDIF
675	w_p(nzt:nzt+1,:,-1) = 0.0
676
677	ENDIF
678
679	ENDIF
680
681	IF ( outflow_r ) THEN
682
683	IF ( bc_lr_dirneu ) THEN
684	u(:,:,nx+1) = u(:,:,nx)
685	v(:,:,nx+1) = v(:,:,nx)
686	w(:,:,nx+1) = w(:,:,nx)
687	ELSEIF ( bc_ns_dirrad ) THEN
688
689	c_max = dx / dt_3d
690
691	c_u_m_l = 0.0
692	c_v_m_l = 0.0
693	c_w_m_l = 0.0
694
695	c_u_m = 0.0
696	c_v_m = 0.0
697	c_w_m = 0.0
698
699	!
700	!-- Calculate the phase speeds for u, v, and w, first local and then
701	!-- average along the outflow boundary.
702	DO k = nzb+1, nzt+1
703	DO j = nys, nyn
704
705	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
706
707	IF ( denom /= 0.0 ) THEN
708	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
709	IF ( c_u(k,j) < 0.0 ) THEN
710	c_u(k,j) = 0.0
711	ELSEIF ( c_u(k,j) > c_max ) THEN
712	c_u(k,j) = c_max
713	ENDIF
714	ELSE
715	c_u(k,j) = c_max
716	ENDIF
717
718	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
719
720	IF ( denom /= 0.0 ) THEN
721	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
722	IF ( c_v(k,j) < 0.0 ) THEN
723	c_v(k,j) = 0.0
724	ELSEIF ( c_v(k,j) > c_max ) THEN
725	c_v(k,j) = c_max
726	ENDIF
727	ELSE
728	c_v(k,j) = c_max
729	ENDIF
730
731	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
732
733	IF ( denom /= 0.0 ) THEN
734	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
735	IF ( c_w(k,j) < 0.0 ) THEN
736	c_w(k,j) = 0.0
737	ELSEIF ( c_w(k,j) > c_max ) THEN
738	c_w(k,j) = c_max
739	ENDIF
740	ELSE
741	c_w(k,j) = c_max
742	ENDIF
743
744	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
745	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
746	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
747
748	ENDDO
749	ENDDO
750
751	#if defined( __parallel )
752	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
753	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
754	MPI_SUM, comm1dy, ierr )
755	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
756	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
757	MPI_SUM, comm1dy, ierr )
758	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
759	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
760	MPI_SUM, comm1dy, ierr )
761	#else
762	c_u_m = c_u_m_l
763	c_v_m = c_v_m_l
764	c_w_m = c_w_m_l
765	#endif
766
767	c_u_m = c_u_m / (ny+1)
768	c_v_m = c_v_m / (ny+1)
769	c_w_m = c_w_m / (ny+1)
770
771	!
772	!-- Save old timelevels for the next timestep
773	IF ( intermediate_timestep_count == 1 ) THEN
774	u_m_r(:,:,:) = u(:,:,nx-1:nx)
775	v_m_r(:,:,:) = v(:,:,nx-1:nx)
776	w_m_r(:,:,:) = w(:,:,nx-1:nx)
777	ENDIF
778
779	!
780	!-- Calculate the new velocities
781	DO k = nzb+1, nzt+1
782	DO i = nxlg, nxrg
783	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
784	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
785
786	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
787	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
788
789	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
790	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
791	ENDDO
792	ENDDO
793
794	!
795	!-- Bottom boundary at the outflow
796	IF ( ibc_uv_b == 0 ) THEN
797	u_p(nzb,:,nx+1) = 0.0
798	v_p(nzb,:,nx+1) = 0.0
799	ELSE
800	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
801	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
802	ENDIF
803	w_p(nzb,:,nx+1) = 0.0
804
805	!
806	!-- Top boundary at the outflow
807	IF ( ibc_uv_t == 0 ) THEN
808	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
809	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
810	ELSE
811	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
812	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
813	ENDIF
814	w(nzt:nzt+1,:,nx+1) = 0.0
815
816	ENDIF
817
818	ENDIF
819
820	END SUBROUTINE boundary_conds

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