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source: palm/trunk/SOURCE/boundary_conds.f90 @ 996

Last change on this file since 996 was 996, checked in by raasch, 12 years ago
parameter use_prior_plot1d_parameters removed; little reformatting
Property svn:keywords set to `Id`
File size: 26.1 KB

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1	SUBROUTINE boundary_conds( range )
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! little reformatting
7	!
8	! Former revisions:
9	! -----------------
10	! $Id: boundary_conds.f90 996 2012-09-07 10:41:47Z raasch $
11	!
12	! 978 2012-08-09 08:28:32Z fricke
13	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
14	! Outflow boundary conditions for the velocity components can be set to Neumann
15	! conditions or to radiation conditions with a horizontal averaged phase
16	! velocity.
17	!
18	! 875 2012-04-02 15:35:15Z gryschka
19	! Bugfix in case of dirichlet inflow bc at the right or north boundary
20	!
21	! 767 2011-10-14 06:39:12Z raasch
22	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
23	!
24	! 667 2010-12-23 12:06:00Z suehring/gryschka
25	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
26	! Removed mirror boundary conditions for u and v at the bottom in case of
27	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
28	! in init_3d_model
29	!
30	! 107 2007-08-17 13:54:45Z raasch
31	! Boundary conditions for temperature adjusted for coupled runs,
32	! bugfixes for the radiation boundary conditions at the outflow: radiation
33	! conditions are used for every substep, phase speeds are calculated for the
34	! first Runge-Kutta substep only and then reused, several index values changed
35	!
36	! 95 2007-06-02 16:48:38Z raasch
37	! Boundary conditions for salinity added
38	!
39	! 75 2007-03-22 09:54:05Z raasch
40	! The "main" part sets conditions for time level t+dt instead of level t,
41	! outflow boundary conditions changed from Neumann to radiation condition,
42	! uxrp, vynp eliminated, moisture renamed humidity
43	!
44	! 19 2007-02-23 04:53:48Z raasch
45	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
46	! gridpoints are now calculated by the prognostic equation,
47	! Dirichlet and zero gradient condition for pt established at top boundary
48	!
49	! RCS Log replace by Id keyword, revision history cleaned up
50	!
51	! Revision 1.15 2006/02/23 09:54:55 raasch
52	! Surface boundary conditions in case of topography: nzb replaced by
53	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
54	! unchanged (still using nzb) because a non-flat topography must use a
55	! Prandtl-layer, which don't requires explicit setting of the surface values.
56	!
57	! Revision 1.1 1997/09/12 06:21:34 raasch
58	! Initial revision
59	!
60	!
61	! Description:
62	! ------------
63	! Boundary conditions for the prognostic quantities (range='main').
64	! In case of non-cyclic lateral boundaries the conditions for velocities at
65	! the outflow are set after the pressure solver has been called (range=
66	! 'outflow_uvw').
67	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
68	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
69	! handled in routine exchange_horiz. Pressure boundary conditions are
70	! explicitly set in routines pres, poisfft, poismg and sor.
71	!------------------------------------------------------------------------------!
72
73	USE arrays_3d
74	USE control_parameters
75	USE grid_variables
76	USE indices
77	USE pegrid
78
79	IMPLICIT NONE
80
81	CHARACTER (LEN=*) :: range
82
83	INTEGER :: i, j, k
84
85	REAL :: c_max, denom
86
87
88	IF ( range == 'main') THEN
89	!
90	!-- Bottom boundary
91	IF ( ibc_uv_b == 1 ) THEN
92	u_p(nzb,:,:) = u_p(nzb+1,:,:)
93	v_p(nzb,:,:) = v_p(nzb+1,:,:)
94	ENDIF
95	DO i = nxlg, nxrg
96	DO j = nysg, nyng
97	w_p(nzb_w_inner(j,i),j,i) = 0.0
98	ENDDO
99	ENDDO
100
101	!
102	!-- Top boundary
103	IF ( ibc_uv_t == 0 ) THEN
104	u_p(nzt+1,:,:) = u_init(nzt+1)
105	v_p(nzt+1,:,:) = v_init(nzt+1)
106	ELSE
107	u_p(nzt+1,:,:) = u_p(nzt,:,:)
108	v_p(nzt+1,:,:) = v_p(nzt,:,:)
109	ENDIF
110	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
111
112	!
113	!-- Temperature at bottom boundary.
114	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
115	!-- the sea surface temperature of the coupled ocean model.
116	IF ( ibc_pt_b == 0 ) THEN
117	DO i = nxlg, nxrg
118	DO j = nysg, nyng
119	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
120	ENDDO
121	ENDDO
122	ELSEIF ( ibc_pt_b == 1 ) THEN
123	DO i = nxlg, nxrg
124	DO j = nysg, nyng
125	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
126	ENDDO
127	ENDDO
128	ENDIF
129
130	!
131	!-- Temperature at top boundary
132	IF ( ibc_pt_t == 0 ) THEN
133	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
134	ELSEIF ( ibc_pt_t == 1 ) THEN
135	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
136	ELSEIF ( ibc_pt_t == 2 ) THEN
137	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
138	ENDIF
139
140	!
141	!-- Boundary conditions for TKE
142	!-- Generally Neumann conditions with de/dz=0 are assumed
143	IF ( .NOT. constant_diffusion ) THEN
144	DO i = nxlg, nxrg
145	DO j = nysg, nyng
146	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
147	ENDDO
148	ENDDO
149	e_p(nzt+1,:,:) = e_p(nzt,:,:)
150	ENDIF
151
152	!
153	!-- Boundary conditions for salinity
154	IF ( ocean ) THEN
155	!
156	!-- Bottom boundary: Neumann condition because salinity flux is always
157	!-- given
158	DO i = nxlg, nxrg
159	DO j = nysg, nyng
160	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
161	ENDDO
162	ENDDO
163
164	!
165	!-- Top boundary: Dirichlet or Neumann
166	IF ( ibc_sa_t == 0 ) THEN
167	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
168	ELSEIF ( ibc_sa_t == 1 ) THEN
169	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
170	ENDIF
171
172	ENDIF
173
174	!
175	!-- Boundary conditions for total water content or scalar,
176	!-- bottom and top boundary (see also temperature)
177	IF ( humidity .OR. passive_scalar ) THEN
178	!
179	!-- Surface conditions for constant_humidity_flux
180	IF ( ibc_q_b == 0 ) THEN
181	DO i = nxlg, nxrg
182	DO j = nysg, nyng
183	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
184	ENDDO
185	ENDDO
186	ELSE
187	DO i = nxlg, nxrg
188	DO j = nysg, nyng
189	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
190	ENDDO
191	ENDDO
192	ENDIF
193	!
194	!-- Top boundary
195	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
196
197	ENDIF
198
199	!
200	!-- In case of inflow at the south boundary the boundary for v is at nys
201	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
202	!-- Since in prognostic_equations (cache optimized version) these levels are
203	!-- handled as a prognostic level, boundary values have to be restored here.
204	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
205	IF ( inflow_s ) THEN
206	v_p(:,nys,:) = v_p(:,nys-1,:)
207	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
208	ELSEIF ( inflow_n ) THEN
209	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
210	ELSEIF ( inflow_l ) THEN
211	u_p(:,:,nxl) = u_p(:,:,nxl-1)
212	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
213	ELSEIF ( inflow_r ) THEN
214	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
215	ENDIF
216
217	!
218	!-- Lateral boundary conditions for scalar quantities at the outflow
219	IF ( outflow_s ) THEN
220	pt_p(:,nys-1,:) = pt_p(:,nys,:)
221	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
222	IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:)
223	ELSEIF ( outflow_n ) THEN
224	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
225	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
226	IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:)
227	ELSEIF ( outflow_l ) THEN
228	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
229	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
230	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl)
231	ELSEIF ( outflow_r ) THEN
232	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
233	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
234	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr)
235	ENDIF
236
237	ENDIF
238
239	!
240	!-- Neumann or Radiation boundary condition for the velocities at the
241	!-- respective outflow
242	IF ( outflow_s ) THEN
243
244	IF ( bc_ns_dirneu ) THEN
245	u(:,-1,:) = u(:,0,:)
246	v(:,0,:) = v(:,1,:)
247	w(:,-1,:) = w(:,0,:)
248	ELSEIF ( bc_ns_dirrad ) THEN
249
250	c_max = dy / dt_3d
251
252	c_u_m_l = 0.0
253	c_v_m_l = 0.0
254	c_w_m_l = 0.0
255
256	c_u_m = 0.0
257	c_v_m = 0.0
258	c_w_m = 0.0
259
260	!
261	!-- Calculate the phase speeds for u, v, and w, first local and then
262	!-- average along the outflow boundary.
263	DO k = nzb+1, nzt+1
264	DO i = nxl, nxr
265
266	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
267
268	IF ( denom /= 0.0 ) THEN
269	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
270	IF ( c_u(k,i) < 0.0 ) THEN
271	c_u(k,i) = 0.0
272	ELSEIF ( c_u(k,i) > c_max ) THEN
273	c_u(k,i) = c_max
274	ENDIF
275	ELSE
276	c_u(k,i) = c_max
277	ENDIF
278
279	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
280
281	IF ( denom /= 0.0 ) THEN
282	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
283	IF ( c_v(k,i) < 0.0 ) THEN
284	c_v(k,i) = 0.0
285	ELSEIF ( c_v(k,i) > c_max ) THEN
286	c_v(k,i) = c_max
287	ENDIF
288	ELSE
289	c_v(k,i) = c_max
290	ENDIF
291
292	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
293
294	IF ( denom /= 0.0 ) THEN
295	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
296	IF ( c_w(k,i) < 0.0 ) THEN
297	c_w(k,i) = 0.0
298	ELSEIF ( c_w(k,i) > c_max ) THEN
299	c_w(k,i) = c_max
300	ENDIF
301	ELSE
302	c_w(k,i) = c_max
303	ENDIF
304
305	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
306	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
307	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
308
309	ENDDO
310	ENDDO
311
312	#if defined( __parallel )
313	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
314	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
315	MPI_SUM, comm1dx, ierr )
316	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
317	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
318	MPI_SUM, comm1dx, ierr )
319	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
320	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
321	MPI_SUM, comm1dx, ierr )
322	#else
323	c_u_m = c_u_m_l
324	c_v_m = c_v_m_l
325	c_w_m = c_w_m_l
326	#endif
327
328	c_u_m = c_u_m / (nx+1)
329	c_v_m = c_v_m / (nx+1)
330	c_w_m = c_w_m / (nx+1)
331
332	!
333	!-- Save old timelevels for the next timestep
334	IF ( intermediate_timestep_count == 1 ) THEN
335	u_m_s(:,:,:) = u(:,0:1,:)
336	v_m_s(:,:,:) = v(:,1:2,:)
337	w_m_s(:,:,:) = w(:,0:1,:)
338	ENDIF
339
340	!
341	!-- Calculate the new velocities
342	DO k = nzb+1, nzt+1
343	DO i = nxlg, nxrg
344	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
345	( u(k,-1,i) - u(k,0,i) ) * ddy
346
347	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
348	( v(k,0,i) - v(k,1,i) ) * ddy
349
350	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
351	( w(k,-1,i) - w(k,0,i) ) * ddy
352	ENDDO
353	ENDDO
354
355	!
356	!-- Bottom boundary at the outflow
357	IF ( ibc_uv_b == 0 ) THEN
358	u_p(nzb,-1,:) = 0.0
359	v_p(nzb,0,:) = 0.0
360	ELSE
361	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
362	v_p(nzb,0,:) = v_p(nzb+1,0,:)
363	ENDIF
364	w_p(nzb,-1,:) = 0.0
365
366	!
367	!-- Top boundary at the outflow
368	IF ( ibc_uv_t == 0 ) THEN
369	u_p(nzt+1,-1,:) = u_init(nzt+1)
370	v_p(nzt+1,0,:) = v_init(nzt+1)
371	ELSE
372	u_p(nzt+1,-1,:) = u(nzt,-1,:)
373	v_p(nzt+1,0,:) = v(nzt,0,:)
374	ENDIF
375	w_p(nzt:nzt+1,-1,:) = 0.0
376
377	ENDIF
378
379	ENDIF
380
381	IF ( outflow_n ) THEN
382
383	IF ( bc_ns_neudir ) THEN
384	u(:,ny+1,:) = u(:,ny,:)
385	v(:,ny+1,:) = v(:,ny,:)
386	w(:,ny+1,:) = w(:,ny,:)
387	ELSEIF ( bc_ns_dirrad ) THEN
388
389	c_max = dy / dt_3d
390
391	c_u_m_l = 0.0
392	c_v_m_l = 0.0
393	c_w_m_l = 0.0
394
395	c_u_m = 0.0
396	c_v_m = 0.0
397	c_w_m = 0.0
398
399	!
400	!-- Calculate the phase speeds for u, v, and w, first local and then
401	!-- average along the outflow boundary.
402	DO k = nzb+1, nzt+1
403	DO i = nxl, nxr
404
405	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
406
407	IF ( denom /= 0.0 ) THEN
408	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
409	IF ( c_u(k,i) < 0.0 ) THEN
410	c_u(k,i) = 0.0
411	ELSEIF ( c_u(k,i) > c_max ) THEN
412	c_u(k,i) = c_max
413	ENDIF
414	ELSE
415	c_u(k,i) = c_max
416	ENDIF
417
418	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
419
420	IF ( denom /= 0.0 ) THEN
421	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
422	IF ( c_v(k,i) < 0.0 ) THEN
423	c_v(k,i) = 0.0
424	ELSEIF ( c_v(k,i) > c_max ) THEN
425	c_v(k,i) = c_max
426	ENDIF
427	ELSE
428	c_v(k,i) = c_max
429	ENDIF
430
431	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
432
433	IF ( denom /= 0.0 ) THEN
434	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
435	IF ( c_w(k,i) < 0.0 ) THEN
436	c_w(k,i) = 0.0
437	ELSEIF ( c_w(k,i) > c_max ) THEN
438	c_w(k,i) = c_max
439	ENDIF
440	ELSE
441	c_w(k,i) = c_max
442	ENDIF
443
444	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
445	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
446	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
447
448	ENDDO
449	ENDDO
450
451	#if defined( __parallel )
452	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
453	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
454	MPI_SUM, comm1dx, ierr )
455	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
456	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
457	MPI_SUM, comm1dx, ierr )
458	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
459	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
460	MPI_SUM, comm1dx, ierr )
461	#else
462	c_u_m = c_u_m_l
463	c_v_m = c_v_m_l
464	c_w_m = c_w_m_l
465	#endif
466
467	c_u_m = c_u_m / (nx+1)
468	c_v_m = c_v_m / (nx+1)
469	c_w_m = c_w_m / (nx+1)
470
471	!
472	!-- Save old timelevels for the next timestep
473	IF ( intermediate_timestep_count == 1 ) THEN
474	u_m_n(:,:,:) = u(:,ny-1:ny,:)
475	v_m_n(:,:,:) = v(:,ny-1:ny,:)
476	w_m_n(:,:,:) = w(:,ny-1:ny,:)
477	ENDIF
478
479	!
480	!-- Calculate the new velocities
481	DO k = nzb+1, nzt+1
482	DO i = nxlg, nxrg
483	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
484	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
485
486	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
487	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
488
489	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
490	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
491	ENDDO
492	ENDDO
493
494	!
495	!-- Bottom boundary at the outflow
496	IF ( ibc_uv_b == 0 ) THEN
497	u_p(nzb,ny+1,:) = 0.0
498	v_p(nzb,ny+1,:) = 0.0
499	ELSE
500	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
501	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
502	ENDIF
503	w_p(nzb,ny+1,:) = 0.0
504
505	!
506	!-- Top boundary at the outflow
507	IF ( ibc_uv_t == 0 ) THEN
508	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
509	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
510	ELSE
511	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
512	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
513	ENDIF
514	w_p(nzt:nzt+1,ny+1,:) = 0.0
515
516	ENDIF
517
518	ENDIF
519
520	IF ( outflow_l ) THEN
521
522	IF ( bc_lr_neudir ) THEN
523	u(:,:,-1) = u(:,:,0)
524	v(:,:,0) = v(:,:,1)
525	w(:,:,-1) = w(:,:,0)
526	ELSEIF ( bc_ns_dirrad ) THEN
527
528	c_max = dx / dt_3d
529
530	c_u_m_l = 0.0
531	c_v_m_l = 0.0
532	c_w_m_l = 0.0
533
534	c_u_m = 0.0
535	c_v_m = 0.0
536	c_w_m = 0.0
537
538	!
539	!-- Calculate the phase speeds for u, v, and w, first local and then
540	!-- average along the outflow boundary.
541	DO k = nzb+1, nzt+1
542	DO j = nys, nyn
543
544	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
545
546	IF ( denom /= 0.0 ) THEN
547	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
548	IF ( c_u(k,j) < 0.0 ) THEN
549	c_u(k,j) = 0.0
550	ELSEIF ( c_u(k,j) > c_max ) THEN
551	c_u(k,j) = c_max
552	ENDIF
553	ELSE
554	c_u(k,j) = c_max
555	ENDIF
556
557	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
558
559	IF ( denom /= 0.0 ) THEN
560	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
561	IF ( c_v(k,j) < 0.0 ) THEN
562	c_v(k,j) = 0.0
563	ELSEIF ( c_v(k,j) > c_max ) THEN
564	c_v(k,j) = c_max
565	ENDIF
566	ELSE
567	c_v(k,j) = c_max
568	ENDIF
569
570	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
571
572	IF ( denom /= 0.0 ) THEN
573	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
574	IF ( c_w(k,j) < 0.0 ) THEN
575	c_w(k,j) = 0.0
576	ELSEIF ( c_w(k,j) > c_max ) THEN
577	c_w(k,j) = c_max
578	ENDIF
579	ELSE
580	c_w(k,j) = c_max
581	ENDIF
582
583	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
584	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
585	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
586
587	ENDDO
588	ENDDO
589
590	#if defined( __parallel )
591	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
592	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
593	MPI_SUM, comm1dy, ierr )
594	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
595	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
596	MPI_SUM, comm1dy, ierr )
597	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
598	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
599	MPI_SUM, comm1dy, ierr )
600	#else
601	c_u_m = c_u_m_l
602	c_v_m = c_v_m_l
603	c_w_m = c_w_m_l
604	#endif
605
606	c_u_m = c_u_m / (ny+1)
607	c_v_m = c_v_m / (ny+1)
608	c_w_m = c_w_m / (ny+1)
609
610	!
611	!-- Save old timelevels for the next timestep
612	IF ( intermediate_timestep_count == 1 ) THEN
613	u_m_l(:,:,:) = u(:,:,1:2)
614	v_m_l(:,:,:) = v(:,:,0:1)
615	w_m_l(:,:,:) = w(:,:,0:1)
616	ENDIF
617
618	!
619	!-- Calculate the new velocities
620	DO k = nzb+1, nzt+1
621	DO i = nxlg, nxrg
622	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
623	( u(k,j,0) - u(k,j,1) ) * ddx
624
625	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
626	( v(k,j,-1) - v(k,j,0) ) * ddx
627
628	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
629	( w(k,j,-1) - w(k,j,0) ) * ddx
630	ENDDO
631	ENDDO
632
633	!
634	!-- Bottom boundary at the outflow
635	IF ( ibc_uv_b == 0 ) THEN
636	u_p(nzb,:,0) = 0.0
637	v_p(nzb,:,-1) = 0.0
638	ELSE
639	u_p(nzb,:,0) = u_p(nzb+1,:,0)
640	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
641	ENDIF
642	w_p(nzb,:,-1) = 0.0
643
644	!
645	!-- Top boundary at the outflow
646	IF ( ibc_uv_t == 0 ) THEN
647	u_p(nzt+1,:,-1) = u_init(nzt+1)
648	v_p(nzt+1,:,-1) = v_init(nzt+1)
649	ELSE
650	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
651	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
652	ENDIF
653	w_p(nzt:nzt+1,:,-1) = 0.0
654
655	ENDIF
656
657	ENDIF
658
659	IF ( outflow_r ) THEN
660
661	IF ( bc_lr_dirneu ) THEN
662	u(:,:,nx+1) = u(:,:,nx)
663	v(:,:,nx+1) = v(:,:,nx)
664	w(:,:,nx+1) = w(:,:,nx)
665	ELSEIF ( bc_ns_dirrad ) THEN
666
667	c_max = dx / dt_3d
668
669	c_u_m_l = 0.0
670	c_v_m_l = 0.0
671	c_w_m_l = 0.0
672
673	c_u_m = 0.0
674	c_v_m = 0.0
675	c_w_m = 0.0
676
677	!
678	!-- Calculate the phase speeds for u, v, and w, first local and then
679	!-- average along the outflow boundary.
680	DO k = nzb+1, nzt+1
681	DO j = nys, nyn
682
683	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
684
685	IF ( denom /= 0.0 ) THEN
686	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
687	IF ( c_u(k,j) < 0.0 ) THEN
688	c_u(k,j) = 0.0
689	ELSEIF ( c_u(k,j) > c_max ) THEN
690	c_u(k,j) = c_max
691	ENDIF
692	ELSE
693	c_u(k,j) = c_max
694	ENDIF
695
696	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
697
698	IF ( denom /= 0.0 ) THEN
699	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
700	IF ( c_v(k,j) < 0.0 ) THEN
701	c_v(k,j) = 0.0
702	ELSEIF ( c_v(k,j) > c_max ) THEN
703	c_v(k,j) = c_max
704	ENDIF
705	ELSE
706	c_v(k,j) = c_max
707	ENDIF
708
709	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
710
711	IF ( denom /= 0.0 ) THEN
712	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
713	IF ( c_w(k,j) < 0.0 ) THEN
714	c_w(k,j) = 0.0
715	ELSEIF ( c_w(k,j) > c_max ) THEN
716	c_w(k,j) = c_max
717	ENDIF
718	ELSE
719	c_w(k,j) = c_max
720	ENDIF
721
722	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
723	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
724	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
725
726	ENDDO
727	ENDDO
728
729	#if defined( __parallel )
730	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
731	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
732	MPI_SUM, comm1dy, ierr )
733	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
734	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
735	MPI_SUM, comm1dy, ierr )
736	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
737	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
738	MPI_SUM, comm1dy, ierr )
739	#else
740	c_u_m = c_u_m_l
741	c_v_m = c_v_m_l
742	c_w_m = c_w_m_l
743	#endif
744
745	c_u_m = c_u_m / (ny+1)
746	c_v_m = c_v_m / (ny+1)
747	c_w_m = c_w_m / (ny+1)
748
749	!
750	!-- Save old timelevels for the next timestep
751	IF ( intermediate_timestep_count == 1 ) THEN
752	u_m_r(:,:,:) = u(:,:,nx-1:nx)
753	v_m_r(:,:,:) = v(:,:,nx-1:nx)
754	w_m_r(:,:,:) = w(:,:,nx-1:nx)
755	ENDIF
756
757	!
758	!-- Calculate the new velocities
759	DO k = nzb+1, nzt+1
760	DO i = nxlg, nxrg
761	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
762	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
763
764	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
765	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
766
767	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
768	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
769	ENDDO
770	ENDDO
771
772	!
773	!-- Bottom boundary at the outflow
774	IF ( ibc_uv_b == 0 ) THEN
775	u_p(nzb,:,nx+1) = 0.0
776	v_p(nzb,:,nx+1) = 0.0
777	ELSE
778	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
779	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
780	ENDIF
781	w_p(nzb,:,nx+1) = 0.0
782
783	!
784	!-- Top boundary at the outflow
785	IF ( ibc_uv_t == 0 ) THEN
786	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
787	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
788	ELSE
789	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
790	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
791	ENDIF
792	w(nzt:nzt+1,:,nx+1) = 0.0
793
794	ENDIF
795
796	ENDIF
797
798	END SUBROUTINE boundary_conds

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