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source: palm/trunk/SOURCE/boundary_conds.f90 @ 990

Last change on this file since 990 was 979, checked in by fricke, 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 979 2012-08-09 08:50:11Z maronga $
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 parallel 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) ) &
270	/ ( denom * tsc(2) )
271	IF ( c_u(k,i) < 0.0 ) THEN
272	c_u(k,i) = 0.0
273	ELSEIF ( c_u(k,i) > c_max ) THEN
274	c_u(k,i) = c_max
275	ENDIF
276	ELSE
277	c_u(k,i) = c_max
278	ENDIF
279
280	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
281
282	IF ( denom /= 0.0 ) THEN
283	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) &
284	/ ( denom * tsc(2) )
285	IF ( c_v(k,i) < 0.0 ) THEN
286	c_v(k,i) = 0.0
287	ELSEIF ( c_v(k,i) > c_max ) THEN
288	c_v(k,i) = c_max
289	ENDIF
290	ELSE
291	c_v(k,i) = c_max
292	ENDIF
293
294	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
295
296	IF ( denom /= 0.0 ) THEN
297	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) &
298	/ ( 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 parallel 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) ) &
412	/ ( denom * tsc(2) )
413	IF ( c_u(k,i) < 0.0 ) THEN
414	c_u(k,i) = 0.0
415	ELSEIF ( c_u(k,i) > c_max ) THEN
416	c_u(k,i) = c_max
417	ENDIF
418	ELSE
419	c_u(k,i) = c_max
420	ENDIF
421
422	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
423
424	IF ( denom /= 0.0 ) THEN
425	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) &
426	/ ( denom * tsc(2) )
427	IF ( c_v(k,i) < 0.0 ) THEN
428	c_v(k,i) = 0.0
429	ELSEIF ( c_v(k,i) > c_max ) THEN
430	c_v(k,i) = c_max
431	ENDIF
432	ELSE
433	c_v(k,i) = c_max
434	ENDIF
435
436	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
437
438	IF ( denom /= 0.0 ) THEN
439	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) &
440	/ ( denom * tsc(2) )
441	IF ( c_w(k,i) < 0.0 ) THEN
442	c_w(k,i) = 0.0
443	ELSEIF ( c_w(k,i) > c_max ) THEN
444	c_w(k,i) = c_max
445	ENDIF
446	ELSE
447	c_w(k,i) = c_max
448	ENDIF
449
450	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
451	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
452	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
453
454	ENDDO
455	ENDDO
456
457	#if defined( __parallel )
458	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
459	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
463	MPI_SUM, comm1dx, ierr )
464	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
465	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
466	MPI_SUM, comm1dx, ierr )
467	#else
468	c_u_m = c_u_m_l
469	c_v_m = c_v_m_l
470	c_w_m = c_w_m_l
471	#endif
472
473	c_u_m = c_u_m / (nx+1)
474	c_v_m = c_v_m / (nx+1)
475	c_w_m = c_w_m / (nx+1)
476
477	!
478	!-- Save old timelevels for the next timestep
479	IF ( intermediate_timestep_count == 1 ) THEN
480	u_m_n(:,:,:) = u(:,ny-1:ny,:)
481	v_m_n(:,:,:) = v(:,ny-1:ny,:)
482	w_m_n(:,:,:) = w(:,ny-1:ny,:)
483	ENDIF
484
485	!
486	!-- Calculate the new velocities
487	DO k = nzb+1, nzt+1
488	DO i = nxlg, nxrg
489	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
490	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
491
492	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
493	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
494
495	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
496	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
497	ENDDO
498	ENDDO
499
500	!
501	!-- Bottom boundary at the outflow
502	IF ( ibc_uv_b == 0 ) THEN
503	u_p(nzb,ny+1,:) = 0.0
504	v_p(nzb,ny+1,:) = 0.0
505	ELSE
506	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
507	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
508	ENDIF
509	w_p(nzb,ny+1,:) = 0.0
510
511	!
512	!-- Top boundary at the outflow
513	IF ( ibc_uv_t == 0 ) THEN
514	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
515	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
516	ELSE
517	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
518	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
519	ENDIF
520	w_p(nzt:nzt+1,ny+1,:) = 0.0
521
522	ENDIF
523
524	ENDIF
525
526	IF ( outflow_l ) THEN
527
528	IF ( bc_lr_neudir ) THEN
529	u(:,:,-1) = u(:,:,0)
530	v(:,:,0) = v(:,:,1)
531	w(:,:,-1) = w(:,:,0)
532	ELSEIF ( bc_ns_dirrad ) THEN
533
534	c_max = dx / dt_3d
535
536	c_u_m_l = 0.0
537	c_v_m_l = 0.0
538	c_w_m_l = 0.0
539
540	c_u_m = 0.0
541	c_v_m = 0.0
542	c_w_m = 0.0
543
544	!
545	!-- Calculate the phase speeds for u,v, and w, first local and then
546	!-- average parallel along the outflow boundary.
547	DO k = nzb+1, nzt+1
548	DO j = nys, nyn
549
550	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
551
552	IF ( denom /= 0.0 ) THEN
553	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) &
554	/ ( denom * tsc(2) )
555	IF ( c_u(k,j) < 0.0 ) THEN
556	c_u(k,j) = 0.0
557	ELSEIF ( c_u(k,j) > c_max ) THEN
558	c_u(k,j) = c_max
559	ENDIF
560	ELSE
561	c_u(k,j) = c_max
562	ENDIF
563
564	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
565
566	IF ( denom /= 0.0 ) THEN
567	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) &
568	/ ( denom * tsc(2) )
569	IF ( c_v(k,j) < 0.0 ) THEN
570	c_v(k,j) = 0.0
571	ELSEIF ( c_v(k,j) > c_max ) THEN
572	c_v(k,j) = c_max
573	ENDIF
574	ELSE
575	c_v(k,j) = c_max
576	ENDIF
577
578	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
579
580	IF ( denom /= 0.0 ) THEN
581	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) &
582	/ ( denom * tsc(2) )
583	IF ( c_w(k,j) < 0.0 ) THEN
584	c_w(k,j) = 0.0
585	ELSEIF ( c_w(k,j) > c_max ) THEN
586	c_w(k,j) = c_max
587	ENDIF
588	ELSE
589	c_w(k,j) = c_max
590	ENDIF
591
592	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
593	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
594	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
595
596	ENDDO
597	ENDDO
598
599	#if defined( __parallel )
600	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
601	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
602	MPI_SUM, comm1dy, ierr )
603	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
604	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
605	MPI_SUM, comm1dy, ierr )
606	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
607	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
608	MPI_SUM, comm1dy, ierr )
609	#else
610	c_u_m = c_u_m_l
611	c_v_m = c_v_m_l
612	c_w_m = c_w_m_l
613	#endif
614
615	c_u_m = c_u_m / (ny+1)
616	c_v_m = c_v_m / (ny+1)
617	c_w_m = c_w_m / (ny+1)
618
619	!
620	!-- Save old timelevels for the next timestep
621	IF ( intermediate_timestep_count == 1 ) THEN
622	u_m_l(:,:,:) = u(:,:,1:2)
623	v_m_l(:,:,:) = v(:,:,0:1)
624	w_m_l(:,:,:) = w(:,:,0:1)
625	ENDIF
626
627	!
628	!-- Calculate the new velocities
629	DO k = nzb+1, nzt+1
630	DO i = nxlg, nxrg
631	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
632	( u(k,j,0) - u(k,j,1) ) * ddx
633
634	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
635	( v(k,j,-1) - v(k,j,0) ) * ddx
636
637	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
638	( w(k,j,-1) - w(k,j,0) ) * ddx
639	ENDDO
640	ENDDO
641
642	!
643	!-- Bottom boundary at the outflow
644	IF ( ibc_uv_b == 0 ) THEN
645	u_p(nzb,:,0) = 0.0
646	v_p(nzb,:,-1) = 0.0
647	ELSE
648	u_p(nzb,:,0) = u_p(nzb+1,:,0)
649	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
650	ENDIF
651	w_p(nzb,:,-1) = 0.0
652
653	!
654	!-- Top boundary at the outflow
655	IF ( ibc_uv_t == 0 ) THEN
656	u_p(nzt+1,:,-1) = u_init(nzt+1)
657	v_p(nzt+1,:,-1) = v_init(nzt+1)
658	ELSE
659	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
660	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
661	ENDIF
662	w_p(nzt:nzt+1,:,-1) = 0.0
663
664	ENDIF
665
666	ENDIF
667
668	IF ( outflow_r ) THEN
669
670	IF ( bc_lr_dirneu ) THEN
671	u(:,:,nx+1) = u(:,:,nx)
672	v(:,:,nx+1) = v(:,:,nx)
673	w(:,:,nx+1) = w(:,:,nx)
674	ELSEIF ( bc_ns_dirrad ) THEN
675
676	c_max = dx / dt_3d
677
678	c_u_m_l = 0.0
679	c_v_m_l = 0.0
680	c_w_m_l = 0.0
681
682	c_u_m = 0.0
683	c_v_m = 0.0
684	c_w_m = 0.0
685
686	!
687	!-- Calculate the phase speeds for u,v, and w, first local and then
688	!-- average parallel along the outflow boundary.
689	DO k = nzb+1, nzt+1
690	DO j = nys, nyn
691
692	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
693
694	IF ( denom /= 0.0 ) THEN
695	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) &
696	/ ( denom * tsc(2) )
697	IF ( c_u(k,j) < 0.0 ) THEN
698	c_u(k,j) = 0.0
699	ELSEIF ( c_u(k,j) > c_max ) THEN
700	c_u(k,j) = c_max
701	ENDIF
702	ELSE
703	c_u(k,j) = c_max
704	ENDIF
705
706	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
707
708	IF ( denom /= 0.0 ) THEN
709	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) &
710	/ ( denom * tsc(2) )
711	IF ( c_v(k,j) < 0.0 ) THEN
712	c_v(k,j) = 0.0
713	ELSEIF ( c_v(k,j) > c_max ) THEN
714	c_v(k,j) = c_max
715	ENDIF
716	ELSE
717	c_v(k,j) = c_max
718	ENDIF
719
720	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
721
722	IF ( denom /= 0.0 ) THEN
723	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) &
724	/ ( denom * tsc(2) )
725	IF ( c_w(k,j) < 0.0 ) THEN
726	c_w(k,j) = 0.0
727	ELSEIF ( c_w(k,j) > c_max ) THEN
728	c_w(k,j) = c_max
729	ENDIF
730	ELSE
731	c_w(k,j) = c_max
732	ENDIF
733
734	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
735	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
736	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
737
738	ENDDO
739	ENDDO
740
741	#if defined( __parallel )
742	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
743	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
744	MPI_SUM, comm1dy, ierr )
745	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
746	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
747	MPI_SUM, comm1dy, ierr )
748	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
749	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
750	MPI_SUM, comm1dy, ierr )
751	#else
752	c_u_m = c_u_m_l
753	c_v_m = c_v_m_l
754	c_w_m = c_w_m_l
755	#endif
756
757	c_u_m = c_u_m / (ny+1)
758	c_v_m = c_v_m / (ny+1)
759	c_w_m = c_w_m / (ny+1)
760
761	!
762	!-- Save old timelevels for the next timestep
763	IF ( intermediate_timestep_count == 1 ) THEN
764	u_m_r(:,:,:) = u(:,:,nx-1:nx)
765	v_m_r(:,:,:) = v(:,:,nx-1:nx)
766	w_m_r(:,:,:) = w(:,:,nx-1:nx)
767	ENDIF
768
769	!
770	!-- Calculate the new velocities
771	DO k = nzb+1, nzt+1
772	DO i = nxlg, nxrg
773	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
774	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
775
776	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
777	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
778
779	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
780	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
781	ENDDO
782	ENDDO
783
784	!
785	!-- Bottom boundary at the outflow
786	IF ( ibc_uv_b == 0 ) THEN
787	u_p(nzb,:,nx+1) = 0.0
788	v_p(nzb,:,nx+1) = 0.0
789	ELSE
790	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
791	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
792	ENDIF
793	w_p(nzb,:,nx+1) = 0.0
794
795	!
796	!-- Top boundary at the outflow
797	IF ( ibc_uv_t == 0 ) THEN
798	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
799	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
800	ELSE
801	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
802	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
803	ENDIF
804	w(nzt:nzt+1,:,nx+1) = 0.0
805
806	ENDIF
807
808	ENDIF
809
810	END SUBROUTINE boundary_conds

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