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source: palm/trunk/SOURCE/boundary_conds.f90 @ 978

Last change on this file since 978 was 978, checked in by fricke, 12 years ago
merge fricke branch back into trunk
Property svn:keywords set to `Id`
File size: 26.5 KB

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1	SUBROUTINE boundary_conds( range )
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
7	! Outflow boundary conditions for the velocity components can be set to Neumann
8	! conditions or to radiation conditions with a horizontal averaged phase
9	! velocity.
10	!
11	!
12	! Former revisions:
13	! -----------------
14	! $Id: boundary_conds.f90 978 2012-08-09 08:28:32Z fricke $
15	!
16	! 875 2012-04-02 15:35:15Z gryschka
17	! Bugfix in case of dirichlet inflow bc at the right or north boundary
18	!
19	! 767 2011-10-14 06:39:12Z raasch
20	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
21	!
22	! 667 2010-12-23 12:06:00Z suehring/gryschka
23	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
24	! Removed mirror boundary conditions for u and v at the bottom in case of
25	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
26	! in init_3d_model
27	!
28	! 107 2007-08-17 13:54:45Z raasch
29	! Boundary conditions for temperature adjusted for coupled runs,
30	! bugfixes for the radiation boundary conditions at the outflow: radiation
31	! conditions are used for every substep, phase speeds are calculated for the
32	! first Runge-Kutta substep only and then reused, several index values changed
33	!
34	! 95 2007-06-02 16:48:38Z raasch
35	! Boundary conditions for salinity added
36	!
37	! 75 2007-03-22 09:54:05Z raasch
38	! The "main" part sets conditions for time level t+dt instead of level t,
39	! outflow boundary conditions changed from Neumann to radiation condition,
40	! uxrp, vynp eliminated, moisture renamed humidity
41	!
42	! 19 2007-02-23 04:53:48Z raasch
43	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
44	! gridpoints are now calculated by the prognostic equation,
45	! Dirichlet and zero gradient condition for pt established at top boundary
46	!
47	! RCS Log replace by Id keyword, revision history cleaned up
48	!
49	! Revision 1.15 2006/02/23 09:54:55 raasch
50	! Surface boundary conditions in case of topography: nzb replaced by
51	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
52	! unchanged (still using nzb) because a non-flat topography must use a
53	! Prandtl-layer, which don't requires explicit setting of the surface values.
54	!
55	! Revision 1.1 1997/09/12 06:21:34 raasch
56	! Initial revision
57	!
58	!
59	! Description:
60	! ------------
61	! Boundary conditions for the prognostic quantities (range='main').
62	! In case of non-cyclic lateral boundaries the conditions for velocities at
63	! the outflow are set after the pressure solver has been called (range=
64	! 'outflow_uvw').
65	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
66	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
67	! handled in routine exchange_horiz. Pressure boundary conditions are
68	! explicitly set in routines pres, poisfft, poismg and sor.
69	!------------------------------------------------------------------------------!
70
71	USE arrays_3d
72	USE control_parameters
73	USE grid_variables
74	USE indices
75	USE pegrid
76
77	IMPLICIT NONE
78
79	CHARACTER (LEN=*) :: range
80
81	INTEGER :: i, j, k
82
83	REAL :: c_max, denom
84
85
86	IF ( range == 'main') THEN
87	!
88	!-- Bottom boundary
89	IF ( ibc_uv_b == 1 ) THEN
90	u_p(nzb,:,:) = u_p(nzb+1,:,:)
91	v_p(nzb,:,:) = v_p(nzb+1,:,:)
92	ENDIF
93	DO i = nxlg, nxrg
94	DO j = nysg, nyng
95	w_p(nzb_w_inner(j,i),j,i) = 0.0
96	ENDDO
97	ENDDO
98
99	!
100	!-- Top boundary
101	IF ( ibc_uv_t == 0 ) THEN
102	u_p(nzt+1,:,:) = u_init(nzt+1)
103	v_p(nzt+1,:,:) = v_init(nzt+1)
104	ELSE
105	u_p(nzt+1,:,:) = u_p(nzt,:,:)
106	v_p(nzt+1,:,:) = v_p(nzt,:,:)
107	ENDIF
108	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
109
110	!
111	!-- Temperature at bottom boundary.
112	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
113	!-- the sea surface temperature of the coupled ocean model.
114	IF ( ibc_pt_b == 0 ) THEN
115	DO i = nxlg, nxrg
116	DO j = nysg, nyng
117	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
118	ENDDO
119	ENDDO
120	ELSEIF ( ibc_pt_b == 1 ) THEN
121	DO i = nxlg, nxrg
122	DO j = nysg, nyng
123	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
124	ENDDO
125	ENDDO
126	ENDIF
127
128	!
129	!-- Temperature at top boundary
130	IF ( ibc_pt_t == 0 ) THEN
131	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
132	ELSEIF ( ibc_pt_t == 1 ) THEN
133	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
134	ELSEIF ( ibc_pt_t == 2 ) THEN
135	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
136	ENDIF
137
138	!
139	!-- Boundary conditions for TKE
140	!-- Generally Neumann conditions with de/dz=0 are assumed
141	IF ( .NOT. constant_diffusion ) THEN
142	DO i = nxlg, nxrg
143	DO j = nysg, nyng
144	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
145	ENDDO
146	ENDDO
147	e_p(nzt+1,:,:) = e_p(nzt,:,:)
148	ENDIF
149
150	!
151	!-- Boundary conditions for salinity
152	IF ( ocean ) THEN
153	!
154	!-- Bottom boundary: Neumann condition because salinity flux is always
155	!-- given
156	DO i = nxlg, nxrg
157	DO j = nysg, nyng
158	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
159	ENDDO
160	ENDDO
161
162	!
163	!-- Top boundary: Dirichlet or Neumann
164	IF ( ibc_sa_t == 0 ) THEN
165	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
166	ELSEIF ( ibc_sa_t == 1 ) THEN
167	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
168	ENDIF
169
170	ENDIF
171
172	!
173	!-- Boundary conditions for total water content or scalar,
174	!-- bottom and top boundary (see also temperature)
175	IF ( humidity .OR. passive_scalar ) THEN
176	!
177	!-- Surface conditions for constant_humidity_flux
178	IF ( ibc_q_b == 0 ) THEN
179	DO i = nxlg, nxrg
180	DO j = nysg, nyng
181	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
182	ENDDO
183	ENDDO
184	ELSE
185	DO i = nxlg, nxrg
186	DO j = nysg, nyng
187	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
188	ENDDO
189	ENDDO
190	ENDIF
191	!
192	!-- Top boundary
193	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
194
195	ENDIF
196
197	!
198	!-- In case of inflow at the south boundary the boundary for v is at nys
199	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
200	!-- Since in prognostic_equations (cache optimized version) these levels are
201	!-- handled as a prognostic level, boundary values have to be restored here.
202	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
203	IF ( inflow_s ) THEN
204	v_p(:,nys,:) = v_p(:,nys-1,:)
205	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
206	ELSEIF ( inflow_n ) THEN
207	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
208	ELSEIF ( inflow_l ) THEN
209	u_p(:,:,nxl) = u_p(:,:,nxl-1)
210	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
211	ELSEIF ( inflow_r ) THEN
212	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
213	ENDIF
214
215	!
216	!-- Lateral boundary conditions for scalar quantities at the outflow
217	IF ( outflow_s ) THEN
218	pt_p(:,nys-1,:) = pt_p(:,nys,:)
219	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
220	IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:)
221	ELSEIF ( outflow_n ) THEN
222	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
223	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
224	IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:)
225	ELSEIF ( outflow_l ) THEN
226	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
227	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
228	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl)
229	ELSEIF ( outflow_r ) THEN
230	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
231	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
232	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr)
233	ENDIF
234
235	ENDIF
236
237	!
238	!-- Neumann or Radiation boundary condition for the velocities at the
239	!-- respective outflow
240	IF ( outflow_s ) THEN
241
242	IF ( bc_ns_dirneu ) THEN
243	u(:,-1,:) = u(:,0,:)
244	v(:,0,:) = v(:,1,:)
245	w(:,-1,:) = w(:,0,:)
246	ELSEIF ( bc_ns_dirrad ) THEN
247
248	c_max = dy / dt_3d
249
250	c_u_m_l = 0.0
251	c_v_m_l = 0.0
252	c_w_m_l = 0.0
253
254	c_u_m = 0.0
255	c_v_m = 0.0
256	c_w_m = 0.0
257
258	!
259	!-- Calculate the phase speeds for u,v, and w, first local and then
260	!-- average parallel along the outflow boundary.
261	DO k = nzb+1, nzt+1
262	DO i = nxl, nxr
263
264	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
265
266	IF ( denom /= 0.0 ) THEN
267	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) &
268	/ ( denom * tsc(2) )
269	IF ( c_u(k,i) < 0.0 ) THEN
270	c_u(k,i) = 0.0
271	ELSEIF ( c_u(k,i) > c_max ) THEN
272	c_u(k,i) = c_max
273	ENDIF
274	ELSE
275	c_u(k,i) = c_max
276	ENDIF
277
278	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
279
280	IF ( denom /= 0.0 ) THEN
281	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) &
282	/ ( 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) ) &
296	/ ( denom * tsc(2) )
297	IF ( c_w(k,i) < 0.0 ) THEN
298	c_w(k,i) = 0.0
299	ELSEIF ( c_w(k,i) > c_max ) THEN
300	c_w(k,i) = c_max
301	ENDIF
302	ELSE
303	c_w(k,i) = c_max
304	ENDIF
305
306	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
307	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
308	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
309
310	ENDDO
311	ENDDO
312
313	#if defined( __parallel )
314	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
315	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
316	MPI_SUM, comm1dx, ierr )
317	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
318	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
319	MPI_SUM, comm1dx, ierr )
320	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
321	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
322	MPI_SUM, comm1dx, ierr )
323	#else
324	c_u_m = c_u_m_l
325	c_v_m = c_v_m_l
326	c_w_m = c_w_m_l
327	#endif
328
329	c_u_m = c_u_m / (nx+1)
330	c_v_m = c_v_m / (nx+1)
331	c_w_m = c_w_m / (nx+1)
332
333	!
334	!-- Save old timelevels for the next timestep
335	IF ( intermediate_timestep_count == 1 ) THEN
336	u_m_s(:,:,:) = u(:,0:1,:)
337	v_m_s(:,:,:) = v(:,1:2,:)
338	w_m_s(:,:,:) = w(:,0:1,:)
339	ENDIF
340
341	!
342	!-- Calculate the new velocities
343	DO k = nzb+1, nzt+1
344	DO i = nxlg, nxrg
345	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
346	( u(k,-1,i) - u(k,0,i) ) * ddy
347
348	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
349	( v(k,0,i) - v(k,1,i) ) * ddy
350
351	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
352	( w(k,-1,i) - w(k,0,i) ) * ddy
353	ENDDO
354	ENDDO
355
356	!
357	!-- Bottom boundary at the outflow
358	IF ( ibc_uv_b == 0 ) THEN
359	u_p(nzb,-1,:) = 0.0
360	v_p(nzb,0,:) = 0.0
361	ELSE
362	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
363	v_p(nzb,0,:) = v_p(nzb+1,0,:)
364	ENDIF
365	w_p(nzb,-1,:) = 0.0
366
367	!
368	!-- Top boundary at the outflow
369	IF ( ibc_uv_t == 0 ) THEN
370	u_p(nzt+1,-1,:) = u_init(nzt+1)
371	v_p(nzt+1,0,:) = v_init(nzt+1)
372	ELSE
373	u_p(nzt+1,-1,:) = u(nzt,-1,:)
374	v_p(nzt+1,0,:) = v(nzt,0,:)
375	ENDIF
376	w_p(nzt:nzt+1,-1,:) = 0.0
377
378	ENDIF
379
380	ENDIF
381
382	IF ( outflow_n ) THEN
383
384	IF ( bc_ns_neudir ) THEN
385	u(:,ny+1,:) = u(:,ny,:)
386	v(:,ny+1,:) = v(:,ny,:)
387	w(:,ny+1,:) = w(:,ny,:)
388	ELSEIF ( bc_ns_dirrad ) THEN
389
390	c_max = dy / dt_3d
391
392	c_u_m_l = 0.0
393	c_v_m_l = 0.0
394	c_w_m_l = 0.0
395
396	c_u_m = 0.0
397	c_v_m = 0.0
398	c_w_m = 0.0
399
400	!
401	!-- Calculate the phase speeds for u,v, and w, first local and then
402	!-- average parallel along the outflow boundary.
403	DO k = nzb+1, nzt+1
404	DO i = nxl, nxr
405
406	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
407
408	IF ( denom /= 0.0 ) THEN
409	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) &
410	/ ( denom * tsc(2) )
411	IF ( c_u(k,i) < 0.0 ) THEN
412	c_u(k,i) = 0.0
413	ELSEIF ( c_u(k,i) > c_max ) THEN
414	c_u(k,i) = c_max
415	ENDIF
416	ELSE
417	c_u(k,i) = c_max
418	ENDIF
419
420	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
421
422	IF ( denom /= 0.0 ) THEN
423	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) &
424	/ ( 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) ) &
438	/ ( denom * tsc(2) )
439	IF ( c_w(k,i) < 0.0 ) THEN
440	c_w(k,i) = 0.0
441	ELSEIF ( c_w(k,i) > c_max ) THEN
442	c_w(k,i) = c_max
443	ENDIF
444	ELSE
445	c_w(k,i) = c_max
446	ENDIF
447
448	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
449	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
450	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
451
452	ENDDO
453	ENDDO
454
455	#if defined( __parallel )
456	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
457	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
458	MPI_SUM, comm1dx, ierr )
459	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
460	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
461	MPI_SUM, comm1dx, ierr )
462	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
463	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
464	MPI_SUM, comm1dx, ierr )
465	#else
466	c_u_m = c_u_m_l
467	c_v_m = c_v_m_l
468	c_w_m = c_w_m_l
469	#endif
470
471	c_u_m = c_u_m / (nx+1)
472	c_v_m = c_v_m / (nx+1)
473	c_w_m = c_w_m / (nx+1)
474
475	!
476	!-- Save old timelevels for the next timestep
477	IF ( intermediate_timestep_count == 1 ) THEN
478	u_m_n(:,:,:) = u(:,ny-1:ny,:)
479	v_m_n(:,:,:) = v(:,ny-1:ny,:)
480	w_m_n(:,:,:) = w(:,ny-1:ny,:)
481	ENDIF
482
483	!
484	!-- Calculate the new velocities
485	DO k = nzb+1, nzt+1
486	DO i = nxlg, nxrg
487	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
488	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
489
490	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
491	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
492
493	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
494	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
495	ENDDO
496	ENDDO
497
498	!
499	!-- Bottom boundary at the outflow
500	IF ( ibc_uv_b == 0 ) THEN
501	u_p(nzb,ny+1,:) = 0.0
502	v_p(nzb,ny+1,:) = 0.0
503	ELSE
504	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
505	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
506	ENDIF
507	w_p(nzb,ny+1,:) = 0.0
508
509	!
510	!-- Top boundary at the outflow
511	IF ( ibc_uv_t == 0 ) THEN
512	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
513	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
514	ELSE
515	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
516	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
517	ENDIF
518	w_p(nzt:nzt+1,ny+1,:) = 0.0
519
520	ENDIF
521
522	ENDIF
523
524	IF ( outflow_l ) THEN
525
526	IF ( bc_lr_neudir ) THEN
527	u(:,:,-1) = u(:,:,0)
528	v(:,:,0) = v(:,:,1)
529	w(:,:,-1) = w(:,:,0)
530	ELSEIF ( bc_ns_dirrad ) THEN
531
532	c_max = dx / dt_3d
533
534	c_u_m_l = 0.0
535	c_v_m_l = 0.0
536	c_w_m_l = 0.0
537
538	c_u_m = 0.0
539	c_v_m = 0.0
540	c_w_m = 0.0
541
542	!
543	!-- Calculate the phase speeds for u,v, and w, first local and then
544	!-- average parallel along the outflow boundary.
545	DO k = nzb+1, nzt+1
546	DO j = nys, nyn
547
548	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
549
550	IF ( denom /= 0.0 ) THEN
551	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) &
552	/ ( denom * tsc(2) )
553	IF ( c_u(k,j) < 0.0 ) THEN
554	c_u(k,j) = 0.0
555	ELSEIF ( c_u(k,j) > c_max ) THEN
556	c_u(k,j) = c_max
557	ENDIF
558	ELSE
559	c_u(k,j) = c_max
560	ENDIF
561
562	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
563
564	IF ( denom /= 0.0 ) THEN
565	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) &
566	/ ( denom * tsc(2) )
567	IF ( c_v(k,j) < 0.0 ) THEN
568	c_v(k,j) = 0.0
569	ELSEIF ( c_v(k,j) > c_max ) THEN
570	c_v(k,j) = c_max
571	ENDIF
572	ELSE
573	c_v(k,j) = c_max
574	ENDIF
575
576	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
577
578	IF ( denom /= 0.0 ) THEN
579	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) &
580	/ ( denom * tsc(2) )
581	IF ( c_w(k,j) < 0.0 ) THEN
582	c_w(k,j) = 0.0
583	ELSEIF ( c_w(k,j) > c_max ) THEN
584	c_w(k,j) = c_max
585	ENDIF
586	ELSE
587	c_w(k,j) = c_max
588	ENDIF
589
590	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
591	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
592	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
593
594	ENDDO
595	ENDDO
596
597	#if defined( __parallel )
598	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
599	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
600	MPI_SUM, comm1dy, ierr )
601	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
602	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
603	MPI_SUM, comm1dy, ierr )
604	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
605	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
606	MPI_SUM, comm1dy, ierr )
607	#else
608	c_u_m = c_u_m_l
609	c_v_m = c_v_m_l
610	c_w_m = c_w_m_l
611	#endif
612
613	c_u_m = c_u_m / (ny+1)
614	c_v_m = c_v_m / (ny+1)
615	c_w_m = c_w_m / (ny+1)
616
617	!
618	!-- Save old timelevels for the next timestep
619	IF ( intermediate_timestep_count == 1 ) THEN
620	u_m_l(:,:,:) = u(:,:,1:2)
621	v_m_l(:,:,:) = v(:,:,0:1)
622	w_m_l(:,:,:) = w(:,:,0:1)
623	ENDIF
624
625	!
626	!-- Calculate the new velocities
627	DO k = nzb+1, nzt+1
628	DO i = nxlg, nxrg
629	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
630	( u(k,j,0) - u(k,j,1) ) * ddx
631
632	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
633	( v(k,j,-1) - v(k,j,0) ) * ddx
634
635	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
636	( w(k,j,-1) - w(k,j,0) ) * ddx
637	ENDDO
638	ENDDO
639
640	!
641	!-- Bottom boundary at the outflow
642	IF ( ibc_uv_b == 0 ) THEN
643	u_p(nzb,:,0) = 0.0
644	v_p(nzb,:,-1) = 0.0
645	ELSE
646	u_p(nzb,:,0) = u_p(nzb+1,:,0)
647	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
648	ENDIF
649	w_p(nzb,:,-1) = 0.0
650
651	!
652	!-- Top boundary at the outflow
653	IF ( ibc_uv_t == 0 ) THEN
654	u_p(nzt+1,:,-1) = u_init(nzt+1)
655	v_p(nzt+1,:,-1) = v_init(nzt+1)
656	ELSE
657	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
658	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
659	ENDIF
660	w_p(nzt:nzt+1,:,-1) = 0.0
661
662	ENDIF
663
664	ENDIF
665
666	IF ( outflow_r ) THEN
667
668	IF ( bc_lr_dirneu ) THEN
669	u(:,:,nx+1) = u(:,:,nx)
670	v(:,:,nx+1) = v(:,:,nx)
671	w(:,:,nx+1) = w(:,:,nx)
672	ELSEIF ( bc_ns_dirrad ) THEN
673
674	c_max = dx / dt_3d
675
676	c_u_m_l = 0.0
677	c_v_m_l = 0.0
678	c_w_m_l = 0.0
679
680	c_u_m = 0.0
681	c_v_m = 0.0
682	c_w_m = 0.0
683
684	!
685	!-- Calculate the phase speeds for u,v, and w, first local and then
686	!-- average parallel along the outflow boundary.
687	DO k = nzb+1, nzt+1
688	DO j = nys, nyn
689
690	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
691
692	IF ( denom /= 0.0 ) THEN
693	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) &
694	/ ( denom * tsc(2) )
695	IF ( c_u(k,j) < 0.0 ) THEN
696	c_u(k,j) = 0.0
697	ELSEIF ( c_u(k,j) > c_max ) THEN
698	c_u(k,j) = c_max
699	ENDIF
700	ELSE
701	c_u(k,j) = c_max
702	ENDIF
703
704	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
705
706	IF ( denom /= 0.0 ) THEN
707	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) &
708	/ ( denom * tsc(2) )
709	IF ( c_v(k,j) < 0.0 ) THEN
710	c_v(k,j) = 0.0
711	ELSEIF ( c_v(k,j) > c_max ) THEN
712	c_v(k,j) = c_max
713	ENDIF
714	ELSE
715	c_v(k,j) = c_max
716	ENDIF
717
718	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
719
720	IF ( denom /= 0.0 ) THEN
721	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) &
722	/ ( denom * tsc(2) )
723	IF ( c_w(k,j) < 0.0 ) THEN
724	c_w(k,j) = 0.0
725	ELSEIF ( c_w(k,j) > c_max ) THEN
726	c_w(k,j) = c_max
727	ENDIF
728	ELSE
729	c_w(k,j) = c_max
730	ENDIF
731
732	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
733	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
734	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
735
736	ENDDO
737	ENDDO
738
739	#if defined( __parallel )
740	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
741	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
742	MPI_SUM, comm1dy, ierr )
743	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
744	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
745	MPI_SUM, comm1dy, ierr )
746	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
747	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
748	MPI_SUM, comm1dy, ierr )
749	#else
750	c_u_m = c_u_m_l
751	c_v_m = c_v_m_l
752	c_w_m = c_w_m_l
753	#endif
754
755	c_u_m = c_u_m / (ny+1)
756	c_v_m = c_v_m / (ny+1)
757	c_w_m = c_w_m / (ny+1)
758
759	!
760	!-- Save old timelevels for the next timestep
761	IF ( intermediate_timestep_count == 1 ) THEN
762	u_m_r(:,:,:) = u(:,:,nx-1:nx)
763	v_m_r(:,:,:) = v(:,:,nx-1:nx)
764	w_m_r(:,:,:) = w(:,:,nx-1:nx)
765	ENDIF
766
767	!
768	!-- Calculate the new velocities
769	DO k = nzb+1, nzt+1
770	DO i = nxlg, nxrg
771	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
772	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
773
774	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
775	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
776
777	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
778	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
779	ENDDO
780	ENDDO
781
782	!
783	!-- Bottom boundary at the outflow
784	IF ( ibc_uv_b == 0 ) THEN
785	u_p(nzb,:,nx+1) = 0.0
786	v_p(nzb,:,nx+1) = 0.0
787	ELSE
788	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
789	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
790	ENDIF
791	w_p(nzb,:,nx+1) = 0.0
792
793	!
794	!-- Top boundary at the outflow
795	IF ( ibc_uv_t == 0 ) THEN
796	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
797	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
798	ELSE
799	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
800	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
801	ENDIF
802	w(nzt:nzt+1,:,nx+1) = 0.0
803
804	ENDIF
805
806	ENDIF
807
808	END SUBROUTINE boundary_conds

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