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source: palm/trunk/SOURCE/boundary_conds.f90 @ 4277

Last change on this file since 4277 was 4272, checked in by schwenkel, 5 years ago
further modularization of boundary conditions: moving boundary conditions to their modules
Property svn:keywords set to `Id`
File size: 30.4 KB

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1	!> @file boundary_conds.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! 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 1997-2019 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: boundary_conds.f90 4272 2019-10-23 15:18:57Z schwenkel $
27	! Further modularization of boundary conditions: moved boundary conditions to
28	! respective modules
29	!
30	! 4268 2019-10-17 11:29:38Z schwenkel
31	! Removing bulk cloud variables to respective module
32	!
33	! 4182 2019-08-22 15:20:23Z scharf
34	! Corrected "Former revisions" section
35	!
36	! 4102 2019-07-17 16:00:03Z suehring
37	! - Revise setting for boundary conditions at horizontal walls, use the offset
38	! index that belongs to the data structure instead of pre-calculating
39	! the offset index for each facing.
40	! - Set boundary conditions for bulk-cloud quantities also at downward facing
41	! surfaces
42	!
43	! 4087 2019-07-11 11:35:23Z gronemeier
44	! Add comment
45	!
46	! 4086 2019-07-11 05:55:44Z gronemeier
47	! Bugfix: use constant-flux layer condition for e in all rans modes
48	!
49	! 3879 2019-04-08 20:25:23Z knoop
50	! Bugfix, do not set boundary conditions for potential temperature in neutral
51	! runs.
52	!
53	! 3655 2019-01-07 16:51:22Z knoop
54	! OpenACC port for SPEC
55	!
56	! Revision 1.1 1997/09/12 06:21:34 raasch
57	! Initial revision
58	!
59	!
60	! Description:
61	! ------------
62	!> Boundary conditions for the prognostic quantities.
63	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
64	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
65	!> handled in routine exchange_horiz. Pressure boundary conditions are
66	!> explicitly set in routines pres, poisfft, poismg and sor.
67	!------------------------------------------------------------------------------!
68	SUBROUTINE boundary_conds
69
70
71	USE arrays_3d, &
72	ONLY: c_u, c_u_m, c_u_m_l, c_v, c_v_m, c_v_m_l, c_w, c_w_m, c_w_m_l, &
73	dzu, pt, pt_init, pt_p, q, &
74	q_p, s, s_p, u, u_init, u_m_l, u_m_n, &
75	u_m_r, u_m_s, u_p, v, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
76	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
77
78	USE control_parameters, &
79	ONLY: bc_dirichlet_l, &
80	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
81	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
82	child_domain, coupling_mode, dt_3d, &
83	humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
84	ibc_s_t, ibc_uv_b, ibc_uv_t, intermediate_timestep_count, &
85	nesting_offline, neutral, nudging, passive_scalar, &
86	tsc, use_cmax
87
88	USE grid_variables, &
89	ONLY: ddx, ddy, dx, dy
90
91	USE indices, &
92	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
93
94	USE kinds
95
96	USE pegrid
97
98	USE pmc_interface, &
99	ONLY : nesting_mode
100
101	USE surface_mod, &
102	ONLY : bc_h
103
104	USE turbulence_closure_mod, &
105	ONLY: tcm_boundary_conds
106
107	IMPLICIT NONE
108
109	INTEGER(iwp) :: i !< grid index x direction
110	INTEGER(iwp) :: j !< grid index y direction
111	INTEGER(iwp) :: k !< grid index z direction
112	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
113	INTEGER(iwp) :: m !< running index surface elements
114
115	REAL(wp) :: c_max !< maximum phase velocity allowed by CFL criterion, used for outflow boundary condition
116	REAL(wp) :: denom !< horizontal gradient of velocity component normal to the outflow boundary
117
118
119	!
120	!-- Bottom boundary
121	IF ( ibc_uv_b == 1 ) THEN
122	u_p(nzb,:,:) = u_p(nzb+1,:,:)
123	v_p(nzb,:,:) = v_p(nzb+1,:,:)
124	ENDIF
125	!
126	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
127	!-- of downward-facing surfaces.
128	DO l = 0, 1
129	!$OMP PARALLEL DO PRIVATE( i, j, k )
130	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
131	!$ACC PRESENT(bc_h, w_p)
132	DO m = 1, bc_h(l)%ns
133	i = bc_h(l)%i(m)
134	j = bc_h(l)%j(m)
135	k = bc_h(l)%k(m)
136	w_p(k+bc_h(l)%koff,j,i) = 0.0_wp
137	ENDDO
138	ENDDO
139
140	!
141	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
142	IF ( ibc_uv_t == 0 ) THEN
143	!$ACC KERNELS PRESENT(u_p, v_p, u_init, v_init)
144	u_p(nzt+1,:,:) = u_init(nzt+1)
145	v_p(nzt+1,:,:) = v_init(nzt+1)
146	!$ACC END KERNELS
147	ELSEIF ( ibc_uv_t == 1 ) THEN
148	u_p(nzt+1,:,:) = u_p(nzt,:,:)
149	v_p(nzt+1,:,:) = v_p(nzt,:,:)
150	ENDIF
151
152	!
153	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
154	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
155	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
156	!$ACC KERNELS PRESENT(w_p)
157	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
158	!$ACC END KERNELS
159	ENDIF
160
161	!
162	!-- Temperature at bottom and top boundary.
163	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
164	!-- the sea surface temperature of the coupled ocean model.
165	!-- Dirichlet
166	IF ( .NOT. neutral ) THEN
167	IF ( ibc_pt_b == 0 ) THEN
168	DO l = 0, 1
169	!$OMP PARALLEL DO PRIVATE( i, j, k )
170	DO m = 1, bc_h(l)%ns
171	i = bc_h(l)%i(m)
172	j = bc_h(l)%j(m)
173	k = bc_h(l)%k(m)
174	pt_p(k+bc_h(l)%koff,j,i) = pt(k+bc_h(l)%koff,j,i)
175	ENDDO
176	ENDDO
177	!
178	!-- Neumann, zero-gradient
179	ELSEIF ( ibc_pt_b == 1 ) THEN
180	DO l = 0, 1
181	!$OMP PARALLEL DO PRIVATE( i, j, k )
182	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
183	!$ACC PRESENT(bc_h, pt_p)
184	DO m = 1, bc_h(l)%ns
185	i = bc_h(l)%i(m)
186	j = bc_h(l)%j(m)
187	k = bc_h(l)%k(m)
188	pt_p(k+bc_h(l)%koff,j,i) = pt_p(k,j,i)
189	ENDDO
190	ENDDO
191	ENDIF
192
193	!
194	!-- Temperature at top boundary
195	IF ( ibc_pt_t == 0 ) THEN
196	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
197	!
198	!-- In case of nudging adjust top boundary to pt which is
199	!-- read in from NUDGING-DATA
200	IF ( nudging ) THEN
201	pt_p(nzt+1,:,:) = pt_init(nzt+1)
202	ENDIF
203	ELSEIF ( ibc_pt_t == 1 ) THEN
204	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
205	ELSEIF ( ibc_pt_t == 2 ) THEN
206	!$ACC KERNELS PRESENT(pt_p, dzu)
207	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
208	!$ACC END KERNELS
209	ENDIF
210	ENDIF
211	!
212	!-- Boundary conditions for total water content,
213	!-- bottom and top boundary (see also temperature)
214	IF ( humidity ) THEN
215	!
216	!-- Surface conditions for constant_humidity_flux
217	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
218	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
219	!-- q_p at k-1
220	IF ( ibc_q_b == 0 ) THEN
221
222	DO l = 0, 1
223	!$OMP PARALLEL DO PRIVATE( i, j, k )
224	DO m = 1, bc_h(l)%ns
225	i = bc_h(l)%i(m)
226	j = bc_h(l)%j(m)
227	k = bc_h(l)%k(m)
228	q_p(k+bc_h(l)%koff,j,i) = q(k+bc_h(l)%koff,j,i)
229	ENDDO
230	ENDDO
231
232	ELSE
233
234	DO l = 0, 1
235	!$OMP PARALLEL DO PRIVATE( i, j, k )
236	DO m = 1, bc_h(l)%ns
237	i = bc_h(l)%i(m)
238	j = bc_h(l)%j(m)
239	k = bc_h(l)%k(m)
240	q_p(k+bc_h(l)%koff,j,i) = q_p(k,j,i)
241	ENDDO
242	ENDDO
243	ENDIF
244	!
245	!-- Top boundary
246	IF ( ibc_q_t == 0 ) THEN
247	q_p(nzt+1,:,:) = q(nzt+1,:,:)
248	ELSEIF ( ibc_q_t == 1 ) THEN
249	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
250	ENDIF
251	ENDIF
252	!
253	!-- Boundary conditions for scalar,
254	!-- bottom and top boundary (see also temperature)
255	IF ( passive_scalar ) THEN
256	!
257	!-- Surface conditions for constant_humidity_flux
258	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
259	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
260	!-- s_p at k-1
261	IF ( ibc_s_b == 0 ) THEN
262
263	DO l = 0, 1
264	!$OMP PARALLEL DO PRIVATE( i, j, k )
265	DO m = 1, bc_h(l)%ns
266	i = bc_h(l)%i(m)
267	j = bc_h(l)%j(m)
268	k = bc_h(l)%k(m)
269	s_p(k+bc_h(l)%koff,j,i) = s(k+bc_h(l)%koff,j,i)
270	ENDDO
271	ENDDO
272
273	ELSE
274
275	DO l = 0, 1
276	!$OMP PARALLEL DO PRIVATE( i, j, k )
277	DO m = 1, bc_h(l)%ns
278	i = bc_h(l)%i(m)
279	j = bc_h(l)%j(m)
280	k = bc_h(l)%k(m)
281	s_p(k+bc_h(l)%koff,j,i) = s_p(k,j,i)
282	ENDDO
283	ENDDO
284	ENDIF
285	!
286	!-- Top boundary condition
287	IF ( ibc_s_t == 0 ) THEN
288	s_p(nzt+1,:,:) = s(nzt+1,:,:)
289	ELSEIF ( ibc_s_t == 1 ) THEN
290	s_p(nzt+1,:,:) = s_p(nzt,:,:)
291	ELSEIF ( ibc_s_t == 2 ) THEN
292	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
293	ENDIF
294
295	ENDIF
296	!
297	!-- Set boundary conditions for subgrid TKE and dissipation (RANS mode)
298	CALL tcm_boundary_conds
299	!
300	!-- In case of inflow or nest boundary at the south boundary the boundary for v
301	!-- is at nys and in case of inflow or nest boundary at the left boundary the
302	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
303	!-- version) these levels are handled as a prognostic level, boundary values
304	!-- have to be restored here.
305	IF ( bc_dirichlet_s ) THEN
306	v_p(:,nys,:) = v_p(:,nys-1,:)
307	ELSEIF ( bc_dirichlet_l ) THEN
308	u_p(:,:,nxl) = u_p(:,:,nxl-1)
309	ENDIF
310
311	!
312	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
313	!-- in case of nest boundaries. This must not be done in case of vertical nesting
314	!-- mode as in that case the lateral boundaries are actually cyclic.
315	!-- Lateral oundary conditions for TKE and dissipation are set
316	!-- in tcm_boundary_conds.
317	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
318	IF ( bc_dirichlet_s ) THEN
319	v_p(:,nys,:) = v_p(:,nys-1,:)
320	ENDIF
321	IF ( bc_dirichlet_l ) THEN
322	u_p(:,:,nxl) = u_p(:,:,nxl-1)
323	ENDIF
324	ENDIF
325
326	!
327	!-- Lateral boundary conditions for scalar quantities at the outflow.
328	!-- Lateral oundary conditions for TKE and dissipation are set
329	!-- in tcm_boundary_conds.
330	IF ( bc_radiation_s ) THEN
331	pt_p(:,nys-1,:) = pt_p(:,nys,:)
332	IF ( humidity ) THEN
333	q_p(:,nys-1,:) = q_p(:,nys,:)
334	ENDIF
335	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
336	ELSEIF ( bc_radiation_n ) THEN
337	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
338	IF ( humidity ) THEN
339	q_p(:,nyn+1,:) = q_p(:,nyn,:)
340	ENDIF
341	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
342	ELSEIF ( bc_radiation_l ) THEN
343	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
344	IF ( humidity ) THEN
345	q_p(:,:,nxl-1) = q_p(:,:,nxl)
346	ENDIF
347	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
348	ELSEIF ( bc_radiation_r ) THEN
349	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
350	IF ( humidity ) THEN
351	q_p(:,:,nxr+1) = q_p(:,:,nxr)
352	ENDIF
353	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
354	ENDIF
355
356	!
357	!-- Radiation boundary conditions for the velocities at the respective outflow.
358	!-- The phase velocity is either assumed to the maximum phase velocity that
359	!-- ensures numerical stability (CFL-condition) or calculated after
360	!-- Orlanski(1976) and averaged along the outflow boundary.
361	IF ( bc_radiation_s ) THEN
362
363	IF ( use_cmax ) THEN
364	u_p(:,-1,:) = u(:,0,:)
365	v_p(:,0,:) = v(:,1,:)
366	w_p(:,-1,:) = w(:,0,:)
367	ELSEIF ( .NOT. use_cmax ) THEN
368
369	c_max = dy / dt_3d
370
371	c_u_m_l = 0.0_wp
372	c_v_m_l = 0.0_wp
373	c_w_m_l = 0.0_wp
374
375	c_u_m = 0.0_wp
376	c_v_m = 0.0_wp
377	c_w_m = 0.0_wp
378
379	!
380	!-- Calculate the phase speeds for u, v, and w, first local and then
381	!-- average along the outflow boundary.
382	DO k = nzb+1, nzt+1
383	DO i = nxl, nxr
384
385	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
386
387	IF ( denom /= 0.0_wp ) THEN
388	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
389	IF ( c_u(k,i) < 0.0_wp ) THEN
390	c_u(k,i) = 0.0_wp
391	ELSEIF ( c_u(k,i) > c_max ) THEN
392	c_u(k,i) = c_max
393	ENDIF
394	ELSE
395	c_u(k,i) = c_max
396	ENDIF
397
398	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
399
400	IF ( denom /= 0.0_wp ) THEN
401	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
402	IF ( c_v(k,i) < 0.0_wp ) THEN
403	c_v(k,i) = 0.0_wp
404	ELSEIF ( c_v(k,i) > c_max ) THEN
405	c_v(k,i) = c_max
406	ENDIF
407	ELSE
408	c_v(k,i) = c_max
409	ENDIF
410
411	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
412
413	IF ( denom /= 0.0_wp ) THEN
414	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
415	IF ( c_w(k,i) < 0.0_wp ) THEN
416	c_w(k,i) = 0.0_wp
417	ELSEIF ( c_w(k,i) > c_max ) THEN
418	c_w(k,i) = c_max
419	ENDIF
420	ELSE
421	c_w(k,i) = c_max
422	ENDIF
423
424	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
425	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
426	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
427
428	ENDDO
429	ENDDO
430
431	#if defined( __parallel )
432	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
433	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
434	MPI_SUM, comm1dx, ierr )
435	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
436	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
437	MPI_SUM, comm1dx, ierr )
438	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
439	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
440	MPI_SUM, comm1dx, ierr )
441	#else
442	c_u_m = c_u_m_l
443	c_v_m = c_v_m_l
444	c_w_m = c_w_m_l
445	#endif
446
447	c_u_m = c_u_m / (nx+1)
448	c_v_m = c_v_m / (nx+1)
449	c_w_m = c_w_m / (nx+1)
450
451	!
452	!-- Save old timelevels for the next timestep
453	IF ( intermediate_timestep_count == 1 ) THEN
454	u_m_s(:,:,:) = u(:,0:1,:)
455	v_m_s(:,:,:) = v(:,1:2,:)
456	w_m_s(:,:,:) = w(:,0:1,:)
457	ENDIF
458
459	!
460	!-- Calculate the new velocities
461	DO k = nzb+1, nzt+1
462	DO i = nxlg, nxrg
463	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
464	( u(k,-1,i) - u(k,0,i) ) * ddy
465
466	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
467	( v(k,0,i) - v(k,1,i) ) * ddy
468
469	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
470	( w(k,-1,i) - w(k,0,i) ) * ddy
471	ENDDO
472	ENDDO
473
474	!
475	!-- Bottom boundary at the outflow
476	IF ( ibc_uv_b == 0 ) THEN
477	u_p(nzb,-1,:) = 0.0_wp
478	v_p(nzb,0,:) = 0.0_wp
479	ELSE
480	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
481	v_p(nzb,0,:) = v_p(nzb+1,0,:)
482	ENDIF
483	w_p(nzb,-1,:) = 0.0_wp
484
485	!
486	!-- Top boundary at the outflow
487	IF ( ibc_uv_t == 0 ) THEN
488	u_p(nzt+1,-1,:) = u_init(nzt+1)
489	v_p(nzt+1,0,:) = v_init(nzt+1)
490	ELSE
491	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
492	v_p(nzt+1,0,:) = v_p(nzt,0,:)
493	ENDIF
494	w_p(nzt:nzt+1,-1,:) = 0.0_wp
495
496	ENDIF
497
498	ENDIF
499
500	IF ( bc_radiation_n ) THEN
501
502	IF ( use_cmax ) THEN
503	u_p(:,ny+1,:) = u(:,ny,:)
504	v_p(:,ny+1,:) = v(:,ny,:)
505	w_p(:,ny+1,:) = w(:,ny,:)
506	ELSEIF ( .NOT. use_cmax ) THEN
507
508	c_max = dy / dt_3d
509
510	c_u_m_l = 0.0_wp
511	c_v_m_l = 0.0_wp
512	c_w_m_l = 0.0_wp
513
514	c_u_m = 0.0_wp
515	c_v_m = 0.0_wp
516	c_w_m = 0.0_wp
517
518	!
519	!-- Calculate the phase speeds for u, v, and w, first local and then
520	!-- average along the outflow boundary.
521	DO k = nzb+1, nzt+1
522	DO i = nxl, nxr
523
524	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
525
526	IF ( denom /= 0.0_wp ) THEN
527	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
528	IF ( c_u(k,i) < 0.0_wp ) THEN
529	c_u(k,i) = 0.0_wp
530	ELSEIF ( c_u(k,i) > c_max ) THEN
531	c_u(k,i) = c_max
532	ENDIF
533	ELSE
534	c_u(k,i) = c_max
535	ENDIF
536
537	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
538
539	IF ( denom /= 0.0_wp ) THEN
540	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
541	IF ( c_v(k,i) < 0.0_wp ) THEN
542	c_v(k,i) = 0.0_wp
543	ELSEIF ( c_v(k,i) > c_max ) THEN
544	c_v(k,i) = c_max
545	ENDIF
546	ELSE
547	c_v(k,i) = c_max
548	ENDIF
549
550	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
551
552	IF ( denom /= 0.0_wp ) THEN
553	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
554	IF ( c_w(k,i) < 0.0_wp ) THEN
555	c_w(k,i) = 0.0_wp
556	ELSEIF ( c_w(k,i) > c_max ) THEN
557	c_w(k,i) = c_max
558	ENDIF
559	ELSE
560	c_w(k,i) = c_max
561	ENDIF
562
563	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
564	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
565	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
566
567	ENDDO
568	ENDDO
569
570	#if defined( __parallel )
571	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
572	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
573	MPI_SUM, comm1dx, ierr )
574	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
575	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
576	MPI_SUM, comm1dx, ierr )
577	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
578	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
579	MPI_SUM, comm1dx, ierr )
580	#else
581	c_u_m = c_u_m_l
582	c_v_m = c_v_m_l
583	c_w_m = c_w_m_l
584	#endif
585
586	c_u_m = c_u_m / (nx+1)
587	c_v_m = c_v_m / (nx+1)
588	c_w_m = c_w_m / (nx+1)
589
590	!
591	!-- Save old timelevels for the next timestep
592	IF ( intermediate_timestep_count == 1 ) THEN
593	u_m_n(:,:,:) = u(:,ny-1:ny,:)
594	v_m_n(:,:,:) = v(:,ny-1:ny,:)
595	w_m_n(:,:,:) = w(:,ny-1:ny,:)
596	ENDIF
597
598	!
599	!-- Calculate the new velocities
600	DO k = nzb+1, nzt+1
601	DO i = nxlg, nxrg
602	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
603	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
604
605	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
606	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
607
608	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
609	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
610	ENDDO
611	ENDDO
612
613	!
614	!-- Bottom boundary at the outflow
615	IF ( ibc_uv_b == 0 ) THEN
616	u_p(nzb,ny+1,:) = 0.0_wp
617	v_p(nzb,ny+1,:) = 0.0_wp
618	ELSE
619	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
620	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
621	ENDIF
622	w_p(nzb,ny+1,:) = 0.0_wp
623
624	!
625	!-- Top boundary at the outflow
626	IF ( ibc_uv_t == 0 ) THEN
627	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
628	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
629	ELSE
630	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
631	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
632	ENDIF
633	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
634
635	ENDIF
636
637	ENDIF
638
639	IF ( bc_radiation_l ) THEN
640
641	IF ( use_cmax ) THEN
642	u_p(:,:,0) = u(:,:,1)
643	v_p(:,:,-1) = v(:,:,0)
644	w_p(:,:,-1) = w(:,:,0)
645	ELSEIF ( .NOT. use_cmax ) THEN
646
647	c_max = dx / dt_3d
648
649	c_u_m_l = 0.0_wp
650	c_v_m_l = 0.0_wp
651	c_w_m_l = 0.0_wp
652
653	c_u_m = 0.0_wp
654	c_v_m = 0.0_wp
655	c_w_m = 0.0_wp
656
657	!
658	!-- Calculate the phase speeds for u, v, and w, first local and then
659	!-- average along the outflow boundary.
660	DO k = nzb+1, nzt+1
661	DO j = nys, nyn
662
663	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
664
665	IF ( denom /= 0.0_wp ) THEN
666	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
667	IF ( c_u(k,j) < 0.0_wp ) THEN
668	c_u(k,j) = 0.0_wp
669	ELSEIF ( c_u(k,j) > c_max ) THEN
670	c_u(k,j) = c_max
671	ENDIF
672	ELSE
673	c_u(k,j) = c_max
674	ENDIF
675
676	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
677
678	IF ( denom /= 0.0_wp ) THEN
679	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
680	IF ( c_v(k,j) < 0.0_wp ) THEN
681	c_v(k,j) = 0.0_wp
682	ELSEIF ( c_v(k,j) > c_max ) THEN
683	c_v(k,j) = c_max
684	ENDIF
685	ELSE
686	c_v(k,j) = c_max
687	ENDIF
688
689	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
690
691	IF ( denom /= 0.0_wp ) THEN
692	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
693	IF ( c_w(k,j) < 0.0_wp ) THEN
694	c_w(k,j) = 0.0_wp
695	ELSEIF ( c_w(k,j) > c_max ) THEN
696	c_w(k,j) = c_max
697	ENDIF
698	ELSE
699	c_w(k,j) = c_max
700	ENDIF
701
702	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
703	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
704	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
705
706	ENDDO
707	ENDDO
708
709	#if defined( __parallel )
710	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
711	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
712	MPI_SUM, comm1dy, ierr )
713	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
714	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
715	MPI_SUM, comm1dy, ierr )
716	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
717	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
718	MPI_SUM, comm1dy, ierr )
719	#else
720	c_u_m = c_u_m_l
721	c_v_m = c_v_m_l
722	c_w_m = c_w_m_l
723	#endif
724
725	c_u_m = c_u_m / (ny+1)
726	c_v_m = c_v_m / (ny+1)
727	c_w_m = c_w_m / (ny+1)
728
729	!
730	!-- Save old timelevels for the next timestep
731	IF ( intermediate_timestep_count == 1 ) THEN
732	u_m_l(:,:,:) = u(:,:,1:2)
733	v_m_l(:,:,:) = v(:,:,0:1)
734	w_m_l(:,:,:) = w(:,:,0:1)
735	ENDIF
736
737	!
738	!-- Calculate the new velocities
739	DO k = nzb+1, nzt+1
740	DO j = nysg, nyng
741	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
742	( u(k,j,0) - u(k,j,1) ) * ddx
743
744	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
745	( v(k,j,-1) - v(k,j,0) ) * ddx
746
747	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
748	( w(k,j,-1) - w(k,j,0) ) * ddx
749	ENDDO
750	ENDDO
751
752	!
753	!-- Bottom boundary at the outflow
754	IF ( ibc_uv_b == 0 ) THEN
755	u_p(nzb,:,0) = 0.0_wp
756	v_p(nzb,:,-1) = 0.0_wp
757	ELSE
758	u_p(nzb,:,0) = u_p(nzb+1,:,0)
759	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
760	ENDIF
761	w_p(nzb,:,-1) = 0.0_wp
762
763	!
764	!-- Top boundary at the outflow
765	IF ( ibc_uv_t == 0 ) THEN
766	u_p(nzt+1,:,0) = u_init(nzt+1)
767	v_p(nzt+1,:,-1) = v_init(nzt+1)
768	ELSE
769	u_p(nzt+1,:,0) = u_p(nzt,:,0)
770	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
771	ENDIF
772	w_p(nzt:nzt+1,:,-1) = 0.0_wp
773
774	ENDIF
775
776	ENDIF
777
778	IF ( bc_radiation_r ) THEN
779
780	IF ( use_cmax ) THEN
781	u_p(:,:,nx+1) = u(:,:,nx)
782	v_p(:,:,nx+1) = v(:,:,nx)
783	w_p(:,:,nx+1) = w(:,:,nx)
784	ELSEIF ( .NOT. use_cmax ) THEN
785
786	c_max = dx / dt_3d
787
788	c_u_m_l = 0.0_wp
789	c_v_m_l = 0.0_wp
790	c_w_m_l = 0.0_wp
791
792	c_u_m = 0.0_wp
793	c_v_m = 0.0_wp
794	c_w_m = 0.0_wp
795
796	!
797	!-- Calculate the phase speeds for u, v, and w, first local and then
798	!-- average along the outflow boundary.
799	DO k = nzb+1, nzt+1
800	DO j = nys, nyn
801
802	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
803
804	IF ( denom /= 0.0_wp ) THEN
805	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
806	IF ( c_u(k,j) < 0.0_wp ) THEN
807	c_u(k,j) = 0.0_wp
808	ELSEIF ( c_u(k,j) > c_max ) THEN
809	c_u(k,j) = c_max
810	ENDIF
811	ELSE
812	c_u(k,j) = c_max
813	ENDIF
814
815	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
816
817	IF ( denom /= 0.0_wp ) THEN
818	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
819	IF ( c_v(k,j) < 0.0_wp ) THEN
820	c_v(k,j) = 0.0_wp
821	ELSEIF ( c_v(k,j) > c_max ) THEN
822	c_v(k,j) = c_max
823	ENDIF
824	ELSE
825	c_v(k,j) = c_max
826	ENDIF
827
828	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
829
830	IF ( denom /= 0.0_wp ) THEN
831	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
832	IF ( c_w(k,j) < 0.0_wp ) THEN
833	c_w(k,j) = 0.0_wp
834	ELSEIF ( c_w(k,j) > c_max ) THEN
835	c_w(k,j) = c_max
836	ENDIF
837	ELSE
838	c_w(k,j) = c_max
839	ENDIF
840
841	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
842	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
843	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
844
845	ENDDO
846	ENDDO
847
848	#if defined( __parallel )
849	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
850	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
851	MPI_SUM, comm1dy, ierr )
852	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
853	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
854	MPI_SUM, comm1dy, ierr )
855	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
856	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
857	MPI_SUM, comm1dy, ierr )
858	#else
859	c_u_m = c_u_m_l
860	c_v_m = c_v_m_l
861	c_w_m = c_w_m_l
862	#endif
863
864	c_u_m = c_u_m / (ny+1)
865	c_v_m = c_v_m / (ny+1)
866	c_w_m = c_w_m / (ny+1)
867
868	!
869	!-- Save old timelevels for the next timestep
870	IF ( intermediate_timestep_count == 1 ) THEN
871	u_m_r(:,:,:) = u(:,:,nx-1:nx)
872	v_m_r(:,:,:) = v(:,:,nx-1:nx)
873	w_m_r(:,:,:) = w(:,:,nx-1:nx)
874	ENDIF
875
876	!
877	!-- Calculate the new velocities
878	DO k = nzb+1, nzt+1
879	DO j = nysg, nyng
880	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
881	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
882
883	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
884	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
885
886	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
887	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
888	ENDDO
889	ENDDO
890
891	!
892	!-- Bottom boundary at the outflow
893	IF ( ibc_uv_b == 0 ) THEN
894	u_p(nzb,:,nx+1) = 0.0_wp
895	v_p(nzb,:,nx+1) = 0.0_wp
896	ELSE
897	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
898	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
899	ENDIF
900	w_p(nzb,:,nx+1) = 0.0_wp
901
902	!
903	!-- Top boundary at the outflow
904	IF ( ibc_uv_t == 0 ) THEN
905	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
906	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
907	ELSE
908	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
909	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
910	ENDIF
911	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
912
913	ENDIF
914
915	ENDIF
916
917	END SUBROUTINE boundary_conds

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