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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1025

Last change on this file since 1025 was 997, checked in by raasch, 12 years ago
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1	SUBROUTINE boundary_conds( range )
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	!
7	!
8	! Former revisions:
9	! -----------------
10	! $Id: boundary_conds.f90 997 2012-09-07 10:53:03Z letzel $
11	!
12	! 996 2012-09-07 10:41:47Z raasch
13	! little reformatting
14	!
15	! 978 2012-08-09 08:28:32Z fricke
16	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
17	! Outflow boundary conditions for the velocity components can be set to Neumann
18	! conditions or to radiation conditions with a horizontal averaged phase
19	! velocity.
20	!
21	! 875 2012-04-02 15:35:15Z gryschka
22	! Bugfix in case of dirichlet inflow bc at the right or north boundary
23	!
24	! 767 2011-10-14 06:39:12Z raasch
25	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
26	!
27	! 667 2010-12-23 12:06:00Z suehring/gryschka
28	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
29	! Removed mirror boundary conditions for u and v at the bottom in case of
30	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
31	! in init_3d_model
32	!
33	! 107 2007-08-17 13:54:45Z raasch
34	! Boundary conditions for temperature adjusted for coupled runs,
35	! bugfixes for the radiation boundary conditions at the outflow: radiation
36	! conditions are used for every substep, phase speeds are calculated for the
37	! first Runge-Kutta substep only and then reused, several index values changed
38	!
39	! 95 2007-06-02 16:48:38Z raasch
40	! Boundary conditions for salinity added
41	!
42	! 75 2007-03-22 09:54:05Z raasch
43	! The "main" part sets conditions for time level t+dt instead of level t,
44	! outflow boundary conditions changed from Neumann to radiation condition,
45	! uxrp, vynp eliminated, moisture renamed humidity
46	!
47	! 19 2007-02-23 04:53:48Z raasch
48	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
49	! gridpoints are now calculated by the prognostic equation,
50	! Dirichlet and zero gradient condition for pt established at top boundary
51	!
52	! RCS Log replace by Id keyword, revision history cleaned up
53	!
54	! Revision 1.15 2006/02/23 09:54:55 raasch
55	! Surface boundary conditions in case of topography: nzb replaced by
56	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
57	! unchanged (still using nzb) because a non-flat topography must use a
58	! Prandtl-layer, which don't requires explicit setting of the surface values.
59	!
60	! Revision 1.1 1997/09/12 06:21:34 raasch
61	! Initial revision
62	!
63	!
64	! Description:
65	! ------------
66	! Boundary conditions for the prognostic quantities (range='main').
67	! In case of non-cyclic lateral boundaries the conditions for velocities at
68	! the outflow are set after the pressure solver has been called (range=
69	! 'outflow_uvw').
70	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
71	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
72	! handled in routine exchange_horiz. Pressure boundary conditions are
73	! explicitly set in routines pres, poisfft, poismg and sor.
74	!------------------------------------------------------------------------------!
75
76	USE arrays_3d
77	USE control_parameters
78	USE grid_variables
79	USE indices
80	USE pegrid
81
82	IMPLICIT NONE
83
84	CHARACTER (LEN=*) :: range
85
86	INTEGER :: i, j, k
87
88	REAL :: c_max, denom
89
90
91	IF ( range == 'main') THEN
92	!
93	!-- Bottom boundary
94	IF ( ibc_uv_b == 1 ) THEN
95	u_p(nzb,:,:) = u_p(nzb+1,:,:)
96	v_p(nzb,:,:) = v_p(nzb+1,:,:)
97	ENDIF
98	DO i = nxlg, nxrg
99	DO j = nysg, nyng
100	w_p(nzb_w_inner(j,i),j,i) = 0.0
101	ENDDO
102	ENDDO
103
104	!
105	!-- Top boundary
106	IF ( ibc_uv_t == 0 ) THEN
107	u_p(nzt+1,:,:) = u_init(nzt+1)
108	v_p(nzt+1,:,:) = v_init(nzt+1)
109	ELSE
110	u_p(nzt+1,:,:) = u_p(nzt,:,:)
111	v_p(nzt+1,:,:) = v_p(nzt,:,:)
112	ENDIF
113	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
114
115	!
116	!-- Temperature at bottom boundary.
117	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
118	!-- the sea surface temperature of the coupled ocean model.
119	IF ( ibc_pt_b == 0 ) THEN
120	DO i = nxlg, nxrg
121	DO j = nysg, nyng
122	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
123	ENDDO
124	ENDDO
125	ELSEIF ( ibc_pt_b == 1 ) THEN
126	DO i = nxlg, nxrg
127	DO j = nysg, nyng
128	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
129	ENDDO
130	ENDDO
131	ENDIF
132
133	!
134	!-- Temperature at top boundary
135	IF ( ibc_pt_t == 0 ) THEN
136	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
137	ELSEIF ( ibc_pt_t == 1 ) THEN
138	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
139	ELSEIF ( ibc_pt_t == 2 ) THEN
140	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
141	ENDIF
142
143	!
144	!-- Boundary conditions for TKE
145	!-- Generally Neumann conditions with de/dz=0 are assumed
146	IF ( .NOT. constant_diffusion ) THEN
147	DO i = nxlg, nxrg
148	DO j = nysg, nyng
149	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
150	ENDDO
151	ENDDO
152	e_p(nzt+1,:,:) = e_p(nzt,:,:)
153	ENDIF
154
155	!
156	!-- Boundary conditions for salinity
157	IF ( ocean ) THEN
158	!
159	!-- Bottom boundary: Neumann condition because salinity flux is always
160	!-- given
161	DO i = nxlg, nxrg
162	DO j = nysg, nyng
163	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
164	ENDDO
165	ENDDO
166
167	!
168	!-- Top boundary: Dirichlet or Neumann
169	IF ( ibc_sa_t == 0 ) THEN
170	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
171	ELSEIF ( ibc_sa_t == 1 ) THEN
172	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
173	ENDIF
174
175	ENDIF
176
177	!
178	!-- Boundary conditions for total water content or scalar,
179	!-- bottom and top boundary (see also temperature)
180	IF ( humidity .OR. passive_scalar ) THEN
181	!
182	!-- Surface conditions for constant_humidity_flux
183	IF ( ibc_q_b == 0 ) THEN
184	DO i = nxlg, nxrg
185	DO j = nysg, nyng
186	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
187	ENDDO
188	ENDDO
189	ELSE
190	DO i = nxlg, nxrg
191	DO j = nysg, nyng
192	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
193	ENDDO
194	ENDDO
195	ENDIF
196	!
197	!-- Top boundary
198	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
199
200	ENDIF
201
202	!
203	!-- In case of inflow at the south boundary the boundary for v is at nys
204	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
205	!-- Since in prognostic_equations (cache optimized version) these levels are
206	!-- handled as a prognostic level, boundary values have to be restored here.
207	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
208	IF ( inflow_s ) THEN
209	v_p(:,nys,:) = v_p(:,nys-1,:)
210	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
211	ELSEIF ( inflow_n ) THEN
212	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
213	ELSEIF ( inflow_l ) THEN
214	u_p(:,:,nxl) = u_p(:,:,nxl-1)
215	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
216	ELSEIF ( inflow_r ) THEN
217	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
218	ENDIF
219
220	!
221	!-- Lateral boundary conditions for scalar quantities at the outflow
222	IF ( outflow_s ) THEN
223	pt_p(:,nys-1,:) = pt_p(:,nys,:)
224	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
225	IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:)
226	ELSEIF ( outflow_n ) THEN
227	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
228	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
229	IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:)
230	ELSEIF ( outflow_l ) THEN
231	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
232	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
233	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl)
234	ELSEIF ( outflow_r ) THEN
235	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
236	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
237	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr)
238	ENDIF
239
240	ENDIF
241
242	!
243	!-- Neumann or Radiation boundary condition for the velocities at the
244	!-- respective outflow
245	IF ( outflow_s ) THEN
246
247	IF ( bc_ns_dirneu ) THEN
248	u(:,-1,:) = u(:,0,:)
249	v(:,0,:) = v(:,1,:)
250	w(:,-1,:) = w(:,0,:)
251	ELSEIF ( bc_ns_dirrad ) THEN
252
253	c_max = dy / dt_3d
254
255	c_u_m_l = 0.0
256	c_v_m_l = 0.0
257	c_w_m_l = 0.0
258
259	c_u_m = 0.0
260	c_v_m = 0.0
261	c_w_m = 0.0
262
263	!
264	!-- Calculate the phase speeds for u, v, and w, first local and then
265	!-- average along the outflow boundary.
266	DO k = nzb+1, nzt+1
267	DO i = nxl, nxr
268
269	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
270
271	IF ( denom /= 0.0 ) THEN
272	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
273	IF ( c_u(k,i) < 0.0 ) THEN
274	c_u(k,i) = 0.0
275	ELSEIF ( c_u(k,i) > c_max ) THEN
276	c_u(k,i) = c_max
277	ENDIF
278	ELSE
279	c_u(k,i) = c_max
280	ENDIF
281
282	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
283
284	IF ( denom /= 0.0 ) THEN
285	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
286	IF ( c_v(k,i) < 0.0 ) THEN
287	c_v(k,i) = 0.0
288	ELSEIF ( c_v(k,i) > c_max ) THEN
289	c_v(k,i) = c_max
290	ENDIF
291	ELSE
292	c_v(k,i) = c_max
293	ENDIF
294
295	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
296
297	IF ( denom /= 0.0 ) THEN
298	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
299	IF ( c_w(k,i) < 0.0 ) THEN
300	c_w(k,i) = 0.0
301	ELSEIF ( c_w(k,i) > c_max ) THEN
302	c_w(k,i) = c_max
303	ENDIF
304	ELSE
305	c_w(k,i) = c_max
306	ENDIF
307
308	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
309	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
310	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
311
312	ENDDO
313	ENDDO
314
315	#if defined( __parallel )
316	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
317	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
321	MPI_SUM, comm1dx, ierr )
322	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
323	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
324	MPI_SUM, comm1dx, ierr )
325	#else
326	c_u_m = c_u_m_l
327	c_v_m = c_v_m_l
328	c_w_m = c_w_m_l
329	#endif
330
331	c_u_m = c_u_m / (nx+1)
332	c_v_m = c_v_m / (nx+1)
333	c_w_m = c_w_m / (nx+1)
334
335	!
336	!-- Save old timelevels for the next timestep
337	IF ( intermediate_timestep_count == 1 ) THEN
338	u_m_s(:,:,:) = u(:,0:1,:)
339	v_m_s(:,:,:) = v(:,1:2,:)
340	w_m_s(:,:,:) = w(:,0:1,:)
341	ENDIF
342
343	!
344	!-- Calculate the new velocities
345	DO k = nzb+1, nzt+1
346	DO i = nxlg, nxrg
347	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
348	( u(k,-1,i) - u(k,0,i) ) * ddy
349
350	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
351	( v(k,0,i) - v(k,1,i) ) * ddy
352
353	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
354	( w(k,-1,i) - w(k,0,i) ) * ddy
355	ENDDO
356	ENDDO
357
358	!
359	!-- Bottom boundary at the outflow
360	IF ( ibc_uv_b == 0 ) THEN
361	u_p(nzb,-1,:) = 0.0
362	v_p(nzb,0,:) = 0.0
363	ELSE
364	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
365	v_p(nzb,0,:) = v_p(nzb+1,0,:)
366	ENDIF
367	w_p(nzb,-1,:) = 0.0
368
369	!
370	!-- Top boundary at the outflow
371	IF ( ibc_uv_t == 0 ) THEN
372	u_p(nzt+1,-1,:) = u_init(nzt+1)
373	v_p(nzt+1,0,:) = v_init(nzt+1)
374	ELSE
375	u_p(nzt+1,-1,:) = u(nzt,-1,:)
376	v_p(nzt+1,0,:) = v(nzt,0,:)
377	ENDIF
378	w_p(nzt:nzt+1,-1,:) = 0.0
379
380	ENDIF
381
382	ENDIF
383
384	IF ( outflow_n ) THEN
385
386	IF ( bc_ns_neudir ) THEN
387	u(:,ny+1,:) = u(:,ny,:)
388	v(:,ny+1,:) = v(:,ny,:)
389	w(:,ny+1,:) = w(:,ny,:)
390	ELSEIF ( bc_ns_dirrad ) THEN
391
392	c_max = dy / dt_3d
393
394	c_u_m_l = 0.0
395	c_v_m_l = 0.0
396	c_w_m_l = 0.0
397
398	c_u_m = 0.0
399	c_v_m = 0.0
400	c_w_m = 0.0
401
402	!
403	!-- Calculate the phase speeds for u, v, and w, first local and then
404	!-- average along the outflow boundary.
405	DO k = nzb+1, nzt+1
406	DO i = nxl, nxr
407
408	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
409
410	IF ( denom /= 0.0 ) THEN
411	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
412	IF ( c_u(k,i) < 0.0 ) THEN
413	c_u(k,i) = 0.0
414	ELSEIF ( c_u(k,i) > c_max ) THEN
415	c_u(k,i) = c_max
416	ENDIF
417	ELSE
418	c_u(k,i) = c_max
419	ENDIF
420
421	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
422
423	IF ( denom /= 0.0 ) THEN
424	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
425	IF ( c_v(k,i) < 0.0 ) THEN
426	c_v(k,i) = 0.0
427	ELSEIF ( c_v(k,i) > c_max ) THEN
428	c_v(k,i) = c_max
429	ENDIF
430	ELSE
431	c_v(k,i) = c_max
432	ENDIF
433
434	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
435
436	IF ( denom /= 0.0 ) THEN
437	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
438	IF ( c_w(k,i) < 0.0 ) THEN
439	c_w(k,i) = 0.0
440	ELSEIF ( c_w(k,i) > c_max ) THEN
441	c_w(k,i) = c_max
442	ENDIF
443	ELSE
444	c_w(k,i) = c_max
445	ENDIF
446
447	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
448	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
449	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
450
451	ENDDO
452	ENDDO
453
454	#if defined( __parallel )
455	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
456	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
460	MPI_SUM, comm1dx, ierr )
461	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
462	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
463	MPI_SUM, comm1dx, ierr )
464	#else
465	c_u_m = c_u_m_l
466	c_v_m = c_v_m_l
467	c_w_m = c_w_m_l
468	#endif
469
470	c_u_m = c_u_m / (nx+1)
471	c_v_m = c_v_m / (nx+1)
472	c_w_m = c_w_m / (nx+1)
473
474	!
475	!-- Save old timelevels for the next timestep
476	IF ( intermediate_timestep_count == 1 ) THEN
477	u_m_n(:,:,:) = u(:,ny-1:ny,:)
478	v_m_n(:,:,:) = v(:,ny-1:ny,:)
479	w_m_n(:,:,:) = w(:,ny-1:ny,:)
480	ENDIF
481
482	!
483	!-- Calculate the new velocities
484	DO k = nzb+1, nzt+1
485	DO i = nxlg, nxrg
486	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
487	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
488
489	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
490	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
491
492	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
493	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
494	ENDDO
495	ENDDO
496
497	!
498	!-- Bottom boundary at the outflow
499	IF ( ibc_uv_b == 0 ) THEN
500	u_p(nzb,ny+1,:) = 0.0
501	v_p(nzb,ny+1,:) = 0.0
502	ELSE
503	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
504	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
505	ENDIF
506	w_p(nzb,ny+1,:) = 0.0
507
508	!
509	!-- Top boundary at the outflow
510	IF ( ibc_uv_t == 0 ) THEN
511	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
512	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
513	ELSE
514	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
515	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
516	ENDIF
517	w_p(nzt:nzt+1,ny+1,:) = 0.0
518
519	ENDIF
520
521	ENDIF
522
523	IF ( outflow_l ) THEN
524
525	IF ( bc_lr_neudir ) THEN
526	u(:,:,-1) = u(:,:,0)
527	v(:,:,0) = v(:,:,1)
528	w(:,:,-1) = w(:,:,0)
529	ELSEIF ( bc_ns_dirrad ) THEN
530
531	c_max = dx / dt_3d
532
533	c_u_m_l = 0.0
534	c_v_m_l = 0.0
535	c_w_m_l = 0.0
536
537	c_u_m = 0.0
538	c_v_m = 0.0
539	c_w_m = 0.0
540
541	!
542	!-- Calculate the phase speeds for u, v, and w, first local and then
543	!-- average along the outflow boundary.
544	DO k = nzb+1, nzt+1
545	DO j = nys, nyn
546
547	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
548
549	IF ( denom /= 0.0 ) THEN
550	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
551	IF ( c_u(k,j) < 0.0 ) THEN
552	c_u(k,j) = 0.0
553	ELSEIF ( c_u(k,j) > c_max ) THEN
554	c_u(k,j) = c_max
555	ENDIF
556	ELSE
557	c_u(k,j) = c_max
558	ENDIF
559
560	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
561
562	IF ( denom /= 0.0 ) THEN
563	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
564	IF ( c_v(k,j) < 0.0 ) THEN
565	c_v(k,j) = 0.0
566	ELSEIF ( c_v(k,j) > c_max ) THEN
567	c_v(k,j) = c_max
568	ENDIF
569	ELSE
570	c_v(k,j) = c_max
571	ENDIF
572
573	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
574
575	IF ( denom /= 0.0 ) THEN
576	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
577	IF ( c_w(k,j) < 0.0 ) THEN
578	c_w(k,j) = 0.0
579	ELSEIF ( c_w(k,j) > c_max ) THEN
580	c_w(k,j) = c_max
581	ENDIF
582	ELSE
583	c_w(k,j) = c_max
584	ENDIF
585
586	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
587	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
588	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
589
590	ENDDO
591	ENDDO
592
593	#if defined( __parallel )
594	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
595	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
599	MPI_SUM, comm1dy, ierr )
600	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
601	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
602	MPI_SUM, comm1dy, ierr )
603	#else
604	c_u_m = c_u_m_l
605	c_v_m = c_v_m_l
606	c_w_m = c_w_m_l
607	#endif
608
609	c_u_m = c_u_m / (ny+1)
610	c_v_m = c_v_m / (ny+1)
611	c_w_m = c_w_m / (ny+1)
612
613	!
614	!-- Save old timelevels for the next timestep
615	IF ( intermediate_timestep_count == 1 ) THEN
616	u_m_l(:,:,:) = u(:,:,1:2)
617	v_m_l(:,:,:) = v(:,:,0:1)
618	w_m_l(:,:,:) = w(:,:,0:1)
619	ENDIF
620
621	!
622	!-- Calculate the new velocities
623	DO k = nzb+1, nzt+1
624	DO i = nxlg, nxrg
625	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
626	( u(k,j,0) - u(k,j,1) ) * ddx
627
628	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
629	( v(k,j,-1) - v(k,j,0) ) * ddx
630
631	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
632	( w(k,j,-1) - w(k,j,0) ) * ddx
633	ENDDO
634	ENDDO
635
636	!
637	!-- Bottom boundary at the outflow
638	IF ( ibc_uv_b == 0 ) THEN
639	u_p(nzb,:,0) = 0.0
640	v_p(nzb,:,-1) = 0.0
641	ELSE
642	u_p(nzb,:,0) = u_p(nzb+1,:,0)
643	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
644	ENDIF
645	w_p(nzb,:,-1) = 0.0
646
647	!
648	!-- Top boundary at the outflow
649	IF ( ibc_uv_t == 0 ) THEN
650	u_p(nzt+1,:,-1) = u_init(nzt+1)
651	v_p(nzt+1,:,-1) = v_init(nzt+1)
652	ELSE
653	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
654	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
655	ENDIF
656	w_p(nzt:nzt+1,:,-1) = 0.0
657
658	ENDIF
659
660	ENDIF
661
662	IF ( outflow_r ) THEN
663
664	IF ( bc_lr_dirneu ) THEN
665	u(:,:,nx+1) = u(:,:,nx)
666	v(:,:,nx+1) = v(:,:,nx)
667	w(:,:,nx+1) = w(:,:,nx)
668	ELSEIF ( bc_ns_dirrad ) THEN
669
670	c_max = dx / dt_3d
671
672	c_u_m_l = 0.0
673	c_v_m_l = 0.0
674	c_w_m_l = 0.0
675
676	c_u_m = 0.0
677	c_v_m = 0.0
678	c_w_m = 0.0
679
680	!
681	!-- Calculate the phase speeds for u, v, and w, first local and then
682	!-- average along the outflow boundary.
683	DO k = nzb+1, nzt+1
684	DO j = nys, nyn
685
686	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
687
688	IF ( denom /= 0.0 ) THEN
689	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
690	IF ( c_u(k,j) < 0.0 ) THEN
691	c_u(k,j) = 0.0
692	ELSEIF ( c_u(k,j) > c_max ) THEN
693	c_u(k,j) = c_max
694	ENDIF
695	ELSE
696	c_u(k,j) = c_max
697	ENDIF
698
699	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
700
701	IF ( denom /= 0.0 ) THEN
702	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
703	IF ( c_v(k,j) < 0.0 ) THEN
704	c_v(k,j) = 0.0
705	ELSEIF ( c_v(k,j) > c_max ) THEN
706	c_v(k,j) = c_max
707	ENDIF
708	ELSE
709	c_v(k,j) = c_max
710	ENDIF
711
712	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
713
714	IF ( denom /= 0.0 ) THEN
715	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
716	IF ( c_w(k,j) < 0.0 ) THEN
717	c_w(k,j) = 0.0
718	ELSEIF ( c_w(k,j) > c_max ) THEN
719	c_w(k,j) = c_max
720	ENDIF
721	ELSE
722	c_w(k,j) = c_max
723	ENDIF
724
725	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
726	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
727	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
728
729	ENDDO
730	ENDDO
731
732	#if defined( __parallel )
733	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
734	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
738	MPI_SUM, comm1dy, ierr )
739	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
740	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
741	MPI_SUM, comm1dy, ierr )
742	#else
743	c_u_m = c_u_m_l
744	c_v_m = c_v_m_l
745	c_w_m = c_w_m_l
746	#endif
747
748	c_u_m = c_u_m / (ny+1)
749	c_v_m = c_v_m / (ny+1)
750	c_w_m = c_w_m / (ny+1)
751
752	!
753	!-- Save old timelevels for the next timestep
754	IF ( intermediate_timestep_count == 1 ) THEN
755	u_m_r(:,:,:) = u(:,:,nx-1:nx)
756	v_m_r(:,:,:) = v(:,:,nx-1:nx)
757	w_m_r(:,:,:) = w(:,:,nx-1:nx)
758	ENDIF
759
760	!
761	!-- Calculate the new velocities
762	DO k = nzb+1, nzt+1
763	DO i = nxlg, nxrg
764	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
765	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
766
767	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
768	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
769
770	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
771	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
772	ENDDO
773	ENDDO
774
775	!
776	!-- Bottom boundary at the outflow
777	IF ( ibc_uv_b == 0 ) THEN
778	u_p(nzb,:,nx+1) = 0.0
779	v_p(nzb,:,nx+1) = 0.0
780	ELSE
781	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
782	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
783	ENDIF
784	w_p(nzb,:,nx+1) = 0.0
785
786	!
787	!-- Top boundary at the outflow
788	IF ( ibc_uv_t == 0 ) THEN
789	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
790	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
791	ELSE
792	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
793	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
794	ENDIF
795	w(nzt:nzt+1,:,nx+1) = 0.0
796
797	ENDIF
798
799	ENDIF
800
801	END SUBROUTINE boundary_conds

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