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source: palm/trunk/SOURCE/boundary_conds.f90 @ 4210

Last change on this file since 4210 was 4182, checked in by scharf, 5 years ago
corrected "Former revisions" section minor formatting in "Former revisions" section added "Author" section
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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 4182 2019-08-22 15:20:23Z suehring $
27	! Corrected "Former revisions" section
28	!
29	! 4102 2019-07-17 16:00:03Z suehring
30	! - Revise setting for boundary conditions at horizontal walls, use the offset
31	! index that belongs to the data structure instead of pre-calculating
32	! the offset index for each facing.
33	! - Set boundary conditions for bulk-cloud quantities also at downward facing
34	! surfaces
35	!
36	! 4087 2019-07-11 11:35:23Z gronemeier
37	! Add comment
38	!
39	! 4086 2019-07-11 05:55:44Z gronemeier
40	! Bugfix: use constant-flux layer condition for e in all rans modes
41	!
42	! 3879 2019-04-08 20:25:23Z knoop
43	! Bugfix, do not set boundary conditions for potential temperature in neutral
44	! runs.
45	!
46	! 3655 2019-01-07 16:51:22Z knoop
47	! OpenACC port for SPEC
48	!
49	! Revision 1.1 1997/09/12 06:21:34 raasch
50	! Initial revision
51	!
52	!
53	! Description:
54	! ------------
55	!> Boundary conditions for the prognostic quantities.
56	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
57	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
58	!> handled in routine exchange_horiz. Pressure boundary conditions are
59	!> explicitly set in routines pres, poisfft, poismg and sor.
60	!------------------------------------------------------------------------------!
61	SUBROUTINE boundary_conds
62
63
64	USE arrays_3d, &
65	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, &
66	dzu, nc_p, nr_p, pt, pt_init, pt_p, q, &
67	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
68	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, &
69	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
70
71	USE bulk_cloud_model_mod, &
72	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
73
74	USE chemistry_model_mod, &
75	ONLY: chem_boundary_conds
76
77	USE control_parameters, &
78	ONLY: air_chemistry, bc_dirichlet_l, &
79	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
80	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
81	child_domain, coupling_mode, dt_3d, &
82	humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
83	ibc_s_t, ibc_uv_b, ibc_uv_t, intermediate_timestep_count, &
84	nesting_offline, neutral, nudging, ocean_mode, passive_scalar, &
85	tsc, salsa, use_cmax
86
87	USE grid_variables, &
88	ONLY: ddx, ddy, dx, dy
89
90	USE indices, &
91	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
92
93	USE kinds
94
95	USE ocean_mod, &
96	ONLY: ibc_sa_t
97
98	USE pegrid
99
100	USE pmc_interface, &
101	ONLY : nesting_mode
102
103	USE salsa_mod, &
104	ONLY: salsa_boundary_conds
105
106	USE surface_mod, &
107	ONLY : bc_h
108
109	USE turbulence_closure_mod, &
110	ONLY: tcm_boundary_conds
111
112	IMPLICIT NONE
113
114	INTEGER(iwp) :: i !< grid index x direction
115	INTEGER(iwp) :: j !< grid index y direction
116	INTEGER(iwp) :: k !< grid index z direction
117	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
118	INTEGER(iwp) :: m !< running index surface elements
119
120	REAL(wp) :: c_max !< maximum phase velocity allowed by CFL criterion, used for outflow boundary condition
121	REAL(wp) :: denom !< horizontal gradient of velocity component normal to the outflow boundary
122
123
124	!
125	!-- Bottom boundary
126	IF ( ibc_uv_b == 1 ) THEN
127	u_p(nzb,:,:) = u_p(nzb+1,:,:)
128	v_p(nzb,:,:) = v_p(nzb+1,:,:)
129	ENDIF
130	!
131	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
132	!-- of downward-facing surfaces.
133	DO l = 0, 1
134	!$OMP PARALLEL DO PRIVATE( i, j, k )
135	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
136	!$ACC PRESENT(bc_h, w_p)
137	DO m = 1, bc_h(l)%ns
138	i = bc_h(l)%i(m)
139	j = bc_h(l)%j(m)
140	k = bc_h(l)%k(m)
141	w_p(k+bc_h(l)%koff,j,i) = 0.0_wp
142	ENDDO
143	ENDDO
144
145	!
146	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
147	IF ( ibc_uv_t == 0 ) THEN
148	!$ACC KERNELS PRESENT(u_p, v_p, u_init, v_init)
149	u_p(nzt+1,:,:) = u_init(nzt+1)
150	v_p(nzt+1,:,:) = v_init(nzt+1)
151	!$ACC END KERNELS
152	ELSEIF ( ibc_uv_t == 1 ) THEN
153	u_p(nzt+1,:,:) = u_p(nzt,:,:)
154	v_p(nzt+1,:,:) = v_p(nzt,:,:)
155	ENDIF
156
157	!
158	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
159	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
160	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
161	!$ACC KERNELS PRESENT(w_p)
162	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
163	!$ACC END KERNELS
164	ENDIF
165
166	!
167	!-- Temperature at bottom and top boundary.
168	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
169	!-- the sea surface temperature of the coupled ocean model.
170	!-- Dirichlet
171	IF ( .NOT. neutral ) THEN
172	IF ( ibc_pt_b == 0 ) THEN
173	DO l = 0, 1
174	!$OMP PARALLEL DO PRIVATE( i, j, k )
175	DO m = 1, bc_h(l)%ns
176	i = bc_h(l)%i(m)
177	j = bc_h(l)%j(m)
178	k = bc_h(l)%k(m)
179	pt_p(k+bc_h(l)%koff,j,i) = pt(k+bc_h(l)%koff,j,i)
180	ENDDO
181	ENDDO
182	!
183	!-- Neumann, zero-gradient
184	ELSEIF ( ibc_pt_b == 1 ) THEN
185	DO l = 0, 1
186	!$OMP PARALLEL DO PRIVATE( i, j, k )
187	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
188	!$ACC PRESENT(bc_h, pt_p)
189	DO m = 1, bc_h(l)%ns
190	i = bc_h(l)%i(m)
191	j = bc_h(l)%j(m)
192	k = bc_h(l)%k(m)
193	pt_p(k+bc_h(l)%koff,j,i) = pt_p(k,j,i)
194	ENDDO
195	ENDDO
196	ENDIF
197
198	!
199	!-- Temperature at top boundary
200	IF ( ibc_pt_t == 0 ) THEN
201	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
202	!
203	!-- In case of nudging adjust top boundary to pt which is
204	!-- read in from NUDGING-DATA
205	IF ( nudging ) THEN
206	pt_p(nzt+1,:,:) = pt_init(nzt+1)
207	ENDIF
208	ELSEIF ( ibc_pt_t == 1 ) THEN
209	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
210	ELSEIF ( ibc_pt_t == 2 ) THEN
211	!$ACC KERNELS PRESENT(pt_p, dzu)
212	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
213	!$ACC END KERNELS
214	ENDIF
215	ENDIF
216	!
217	!-- Boundary conditions for salinity
218	IF ( ocean_mode ) THEN
219	!
220	!-- Bottom boundary: Neumann condition because salinity flux is always
221	!-- given.
222	DO l = 0, 1
223	!$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	sa_p(k+bc_h(l)%koff,j,i) = sa_p(k,j,i)
229	ENDDO
230	ENDDO
231	!
232	!-- Top boundary: Dirichlet or Neumann
233	IF ( ibc_sa_t == 0 ) THEN
234	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
235	ELSEIF ( ibc_sa_t == 1 ) THEN
236	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
237	ENDIF
238
239	ENDIF
240
241	!
242	!-- Boundary conditions for total water content,
243	!-- bottom and top boundary (see also temperature)
244	IF ( humidity ) THEN
245	!
246	!-- Surface conditions for constant_humidity_flux
247	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
248	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
249	!-- q_p at k-1
250	IF ( ibc_q_b == 0 ) THEN
251
252	DO l = 0, 1
253	!$OMP PARALLEL DO PRIVATE( i, j, k )
254	DO m = 1, bc_h(l)%ns
255	i = bc_h(l)%i(m)
256	j = bc_h(l)%j(m)
257	k = bc_h(l)%k(m)
258	q_p(k+bc_h(l)%koff,j,i) = q(k+bc_h(l)%koff,j,i)
259	ENDDO
260	ENDDO
261
262	ELSE
263
264	DO l = 0, 1
265	!$OMP PARALLEL DO PRIVATE( i, j, k )
266	DO m = 1, bc_h(l)%ns
267	i = bc_h(l)%i(m)
268	j = bc_h(l)%j(m)
269	k = bc_h(l)%k(m)
270	q_p(k+bc_h(l)%koff,j,i) = q_p(k,j,i)
271	ENDDO
272	ENDDO
273	ENDIF
274	!
275	!-- Top boundary
276	IF ( ibc_q_t == 0 ) THEN
277	q_p(nzt+1,:,:) = q(nzt+1,:,:)
278	ELSEIF ( ibc_q_t == 1 ) THEN
279	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
280	ENDIF
281
282	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
283	!
284	!-- Surface conditions cloud water (Dirichlet)
285	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
286	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
287	!-- qr_p and nr_p at upward (k-1) and downward-facing (k+1) walls
288	DO l = 0, 1
289	!$OMP PARALLEL DO PRIVATE( i, j, k )
290	DO m = 1, bc_h(l)%ns
291	i = bc_h(l)%i(m)
292	j = bc_h(l)%j(m)
293	k = bc_h(l)%k(m)
294	qc_p(k+bc_h(l)%koff,j,i) = 0.0_wp
295	nc_p(k+bc_h(l)%koff,j,i) = 0.0_wp
296	ENDDO
297	ENDDO
298	!
299	!-- Top boundary condition for cloud water (Dirichlet)
300	qc_p(nzt+1,:,:) = 0.0_wp
301	nc_p(nzt+1,:,:) = 0.0_wp
302
303	ENDIF
304
305	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
306	!
307	!-- Surface conditions rain water (Dirichlet)
308	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
309	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
310	!-- qr_p and nr_p at upward (k-1) and downward-facing (k+1) walls
311	DO l = 0, 1
312	!$OMP PARALLEL DO PRIVATE( i, j, k )
313	DO m = 1, bc_h(l)%ns
314	i = bc_h(l)%i(m)
315	j = bc_h(l)%j(m)
316	k = bc_h(l)%k(m)
317	qr_p(k+bc_h(l)%koff,j,i) = 0.0_wp
318	nr_p(k+bc_h(l)%koff,j,i) = 0.0_wp
319	ENDDO
320	ENDDO
321	!
322	!-- Top boundary condition for rain water (Dirichlet)
323	qr_p(nzt+1,:,:) = 0.0_wp
324	nr_p(nzt+1,:,:) = 0.0_wp
325
326	ENDIF
327	ENDIF
328	!
329	!-- Boundary conditions for scalar,
330	!-- bottom and top boundary (see also temperature)
331	IF ( passive_scalar ) THEN
332	!
333	!-- Surface conditions for constant_humidity_flux
334	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
335	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
336	!-- s_p at k-1
337	IF ( ibc_s_b == 0 ) THEN
338
339	DO l = 0, 1
340	!$OMP PARALLEL DO PRIVATE( i, j, k )
341	DO m = 1, bc_h(l)%ns
342	i = bc_h(l)%i(m)
343	j = bc_h(l)%j(m)
344	k = bc_h(l)%k(m)
345	s_p(k+bc_h(l)%koff,j,i) = s(k+bc_h(l)%koff,j,i)
346	ENDDO
347	ENDDO
348
349	ELSE
350
351	DO l = 0, 1
352	!$OMP PARALLEL DO PRIVATE( i, j, k )
353	DO m = 1, bc_h(l)%ns
354	i = bc_h(l)%i(m)
355	j = bc_h(l)%j(m)
356	k = bc_h(l)%k(m)
357	s_p(k+bc_h(l)%koff,j,i) = s_p(k,j,i)
358	ENDDO
359	ENDDO
360	ENDIF
361	!
362	!-- Top boundary condition
363	IF ( ibc_s_t == 0 ) THEN
364	s_p(nzt+1,:,:) = s(nzt+1,:,:)
365	ELSEIF ( ibc_s_t == 1 ) THEN
366	s_p(nzt+1,:,:) = s_p(nzt,:,:)
367	ELSEIF ( ibc_s_t == 2 ) THEN
368	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
369	ENDIF
370
371	ENDIF
372	!
373	!-- Set boundary conditions for subgrid TKE and dissipation (RANS mode)
374	CALL tcm_boundary_conds
375	!
376	!-- Top/bottom boundary conditions for chemical species
377	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
378	!
379	!-- In case of inflow or nest boundary at the south boundary the boundary for v
380	!-- is at nys and in case of inflow or nest boundary at the left boundary the
381	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
382	!-- version) these levels are handled as a prognostic level, boundary values
383	!-- have to be restored here.
384	IF ( bc_dirichlet_s ) THEN
385	v_p(:,nys,:) = v_p(:,nys-1,:)
386	ELSEIF ( bc_dirichlet_l ) THEN
387	u_p(:,:,nxl) = u_p(:,:,nxl-1)
388	ENDIF
389
390	!
391	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
392	!-- in case of nest boundaries. This must not be done in case of vertical nesting
393	!-- mode as in that case the lateral boundaries are actually cyclic.
394	!-- Lateral oundary conditions for TKE and dissipation are set
395	!-- in tcm_boundary_conds.
396	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
397	IF ( bc_dirichlet_s ) THEN
398	v_p(:,nys,:) = v_p(:,nys-1,:)
399	ENDIF
400	IF ( bc_dirichlet_l ) THEN
401	u_p(:,:,nxl) = u_p(:,:,nxl-1)
402	ENDIF
403	ENDIF
404
405	!
406	!-- Lateral boundary conditions for scalar quantities at the outflow.
407	!-- Lateral oundary conditions for TKE and dissipation are set
408	!-- in tcm_boundary_conds.
409	IF ( bc_radiation_s ) THEN
410	pt_p(:,nys-1,:) = pt_p(:,nys,:)
411	IF ( humidity ) THEN
412	q_p(:,nys-1,:) = q_p(:,nys,:)
413	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
414	qc_p(:,nys-1,:) = qc_p(:,nys,:)
415	nc_p(:,nys-1,:) = nc_p(:,nys,:)
416	ENDIF
417	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
418	qr_p(:,nys-1,:) = qr_p(:,nys,:)
419	nr_p(:,nys-1,:) = nr_p(:,nys,:)
420	ENDIF
421	ENDIF
422	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
423	ELSEIF ( bc_radiation_n ) THEN
424	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
425	IF ( humidity ) THEN
426	q_p(:,nyn+1,:) = q_p(:,nyn,:)
427	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
428	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
429	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
430	ENDIF
431	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
432	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
433	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
434	ENDIF
435	ENDIF
436	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
437	ELSEIF ( bc_radiation_l ) THEN
438	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
439	IF ( humidity ) THEN
440	q_p(:,:,nxl-1) = q_p(:,:,nxl)
441	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
442	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
443	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
444	ENDIF
445	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
446	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
447	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
448	ENDIF
449	ENDIF
450	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
451	ELSEIF ( bc_radiation_r ) THEN
452	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
453	IF ( humidity ) THEN
454	q_p(:,:,nxr+1) = q_p(:,:,nxr)
455	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
456	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
457	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
458	ENDIF
459	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
460	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
461	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
462	ENDIF
463	ENDIF
464	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
465	ENDIF
466
467	!
468	!-- Lateral boundary conditions for chemical species
469	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
470
471	!
472	!-- Radiation boundary conditions for the velocities at the respective outflow.
473	!-- The phase velocity is either assumed to the maximum phase velocity that
474	!-- ensures numerical stability (CFL-condition) or calculated after
475	!-- Orlanski(1976) and averaged along the outflow boundary.
476	IF ( bc_radiation_s ) THEN
477
478	IF ( use_cmax ) THEN
479	u_p(:,-1,:) = u(:,0,:)
480	v_p(:,0,:) = v(:,1,:)
481	w_p(:,-1,:) = w(:,0,:)
482	ELSEIF ( .NOT. use_cmax ) THEN
483
484	c_max = dy / dt_3d
485
486	c_u_m_l = 0.0_wp
487	c_v_m_l = 0.0_wp
488	c_w_m_l = 0.0_wp
489
490	c_u_m = 0.0_wp
491	c_v_m = 0.0_wp
492	c_w_m = 0.0_wp
493
494	!
495	!-- Calculate the phase speeds for u, v, and w, first local and then
496	!-- average along the outflow boundary.
497	DO k = nzb+1, nzt+1
498	DO i = nxl, nxr
499
500	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
501
502	IF ( denom /= 0.0_wp ) THEN
503	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
504	IF ( c_u(k,i) < 0.0_wp ) THEN
505	c_u(k,i) = 0.0_wp
506	ELSEIF ( c_u(k,i) > c_max ) THEN
507	c_u(k,i) = c_max
508	ENDIF
509	ELSE
510	c_u(k,i) = c_max
511	ENDIF
512
513	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
514
515	IF ( denom /= 0.0_wp ) THEN
516	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
517	IF ( c_v(k,i) < 0.0_wp ) THEN
518	c_v(k,i) = 0.0_wp
519	ELSEIF ( c_v(k,i) > c_max ) THEN
520	c_v(k,i) = c_max
521	ENDIF
522	ELSE
523	c_v(k,i) = c_max
524	ENDIF
525
526	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
527
528	IF ( denom /= 0.0_wp ) THEN
529	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
530	IF ( c_w(k,i) < 0.0_wp ) THEN
531	c_w(k,i) = 0.0_wp
532	ELSEIF ( c_w(k,i) > c_max ) THEN
533	c_w(k,i) = c_max
534	ENDIF
535	ELSE
536	c_w(k,i) = c_max
537	ENDIF
538
539	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
540	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
541	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
542
543	ENDDO
544	ENDDO
545
546	#if defined( __parallel )
547	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
548	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
549	MPI_SUM, comm1dx, ierr )
550	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
551	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
552	MPI_SUM, comm1dx, ierr )
553	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
554	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
555	MPI_SUM, comm1dx, ierr )
556	#else
557	c_u_m = c_u_m_l
558	c_v_m = c_v_m_l
559	c_w_m = c_w_m_l
560	#endif
561
562	c_u_m = c_u_m / (nx+1)
563	c_v_m = c_v_m / (nx+1)
564	c_w_m = c_w_m / (nx+1)
565
566	!
567	!-- Save old timelevels for the next timestep
568	IF ( intermediate_timestep_count == 1 ) THEN
569	u_m_s(:,:,:) = u(:,0:1,:)
570	v_m_s(:,:,:) = v(:,1:2,:)
571	w_m_s(:,:,:) = w(:,0:1,:)
572	ENDIF
573
574	!
575	!-- Calculate the new velocities
576	DO k = nzb+1, nzt+1
577	DO i = nxlg, nxrg
578	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
579	( u(k,-1,i) - u(k,0,i) ) * ddy
580
581	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
582	( v(k,0,i) - v(k,1,i) ) * ddy
583
584	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
585	( w(k,-1,i) - w(k,0,i) ) * ddy
586	ENDDO
587	ENDDO
588
589	!
590	!-- Bottom boundary at the outflow
591	IF ( ibc_uv_b == 0 ) THEN
592	u_p(nzb,-1,:) = 0.0_wp
593	v_p(nzb,0,:) = 0.0_wp
594	ELSE
595	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
596	v_p(nzb,0,:) = v_p(nzb+1,0,:)
597	ENDIF
598	w_p(nzb,-1,:) = 0.0_wp
599
600	!
601	!-- Top boundary at the outflow
602	IF ( ibc_uv_t == 0 ) THEN
603	u_p(nzt+1,-1,:) = u_init(nzt+1)
604	v_p(nzt+1,0,:) = v_init(nzt+1)
605	ELSE
606	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
607	v_p(nzt+1,0,:) = v_p(nzt,0,:)
608	ENDIF
609	w_p(nzt:nzt+1,-1,:) = 0.0_wp
610
611	ENDIF
612
613	ENDIF
614
615	IF ( bc_radiation_n ) THEN
616
617	IF ( use_cmax ) THEN
618	u_p(:,ny+1,:) = u(:,ny,:)
619	v_p(:,ny+1,:) = v(:,ny,:)
620	w_p(:,ny+1,:) = w(:,ny,:)
621	ELSEIF ( .NOT. use_cmax ) THEN
622
623	c_max = dy / dt_3d
624
625	c_u_m_l = 0.0_wp
626	c_v_m_l = 0.0_wp
627	c_w_m_l = 0.0_wp
628
629	c_u_m = 0.0_wp
630	c_v_m = 0.0_wp
631	c_w_m = 0.0_wp
632
633	!
634	!-- Calculate the phase speeds for u, v, and w, first local and then
635	!-- average along the outflow boundary.
636	DO k = nzb+1, nzt+1
637	DO i = nxl, nxr
638
639	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
640
641	IF ( denom /= 0.0_wp ) THEN
642	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
643	IF ( c_u(k,i) < 0.0_wp ) THEN
644	c_u(k,i) = 0.0_wp
645	ELSEIF ( c_u(k,i) > c_max ) THEN
646	c_u(k,i) = c_max
647	ENDIF
648	ELSE
649	c_u(k,i) = c_max
650	ENDIF
651
652	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
653
654	IF ( denom /= 0.0_wp ) THEN
655	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
656	IF ( c_v(k,i) < 0.0_wp ) THEN
657	c_v(k,i) = 0.0_wp
658	ELSEIF ( c_v(k,i) > c_max ) THEN
659	c_v(k,i) = c_max
660	ENDIF
661	ELSE
662	c_v(k,i) = c_max
663	ENDIF
664
665	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
666
667	IF ( denom /= 0.0_wp ) THEN
668	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
669	IF ( c_w(k,i) < 0.0_wp ) THEN
670	c_w(k,i) = 0.0_wp
671	ELSEIF ( c_w(k,i) > c_max ) THEN
672	c_w(k,i) = c_max
673	ENDIF
674	ELSE
675	c_w(k,i) = c_max
676	ENDIF
677
678	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
679	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
680	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
681
682	ENDDO
683	ENDDO
684
685	#if defined( __parallel )
686	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
687	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
688	MPI_SUM, comm1dx, ierr )
689	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
690	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
691	MPI_SUM, comm1dx, ierr )
692	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
693	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
694	MPI_SUM, comm1dx, ierr )
695	#else
696	c_u_m = c_u_m_l
697	c_v_m = c_v_m_l
698	c_w_m = c_w_m_l
699	#endif
700
701	c_u_m = c_u_m / (nx+1)
702	c_v_m = c_v_m / (nx+1)
703	c_w_m = c_w_m / (nx+1)
704
705	!
706	!-- Save old timelevels for the next timestep
707	IF ( intermediate_timestep_count == 1 ) THEN
708	u_m_n(:,:,:) = u(:,ny-1:ny,:)
709	v_m_n(:,:,:) = v(:,ny-1:ny,:)
710	w_m_n(:,:,:) = w(:,ny-1:ny,:)
711	ENDIF
712
713	!
714	!-- Calculate the new velocities
715	DO k = nzb+1, nzt+1
716	DO i = nxlg, nxrg
717	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
718	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
719
720	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
721	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
722
723	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
724	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
725	ENDDO
726	ENDDO
727
728	!
729	!-- Bottom boundary at the outflow
730	IF ( ibc_uv_b == 0 ) THEN
731	u_p(nzb,ny+1,:) = 0.0_wp
732	v_p(nzb,ny+1,:) = 0.0_wp
733	ELSE
734	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
735	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
736	ENDIF
737	w_p(nzb,ny+1,:) = 0.0_wp
738
739	!
740	!-- Top boundary at the outflow
741	IF ( ibc_uv_t == 0 ) THEN
742	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
743	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
744	ELSE
745	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
746	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
747	ENDIF
748	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
749
750	ENDIF
751
752	ENDIF
753
754	IF ( bc_radiation_l ) THEN
755
756	IF ( use_cmax ) THEN
757	u_p(:,:,0) = u(:,:,1)
758	v_p(:,:,-1) = v(:,:,0)
759	w_p(:,:,-1) = w(:,:,0)
760	ELSEIF ( .NOT. use_cmax ) THEN
761
762	c_max = dx / dt_3d
763
764	c_u_m_l = 0.0_wp
765	c_v_m_l = 0.0_wp
766	c_w_m_l = 0.0_wp
767
768	c_u_m = 0.0_wp
769	c_v_m = 0.0_wp
770	c_w_m = 0.0_wp
771
772	!
773	!-- Calculate the phase speeds for u, v, and w, first local and then
774	!-- average along the outflow boundary.
775	DO k = nzb+1, nzt+1
776	DO j = nys, nyn
777
778	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
779
780	IF ( denom /= 0.0_wp ) THEN
781	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
782	IF ( c_u(k,j) < 0.0_wp ) THEN
783	c_u(k,j) = 0.0_wp
784	ELSEIF ( c_u(k,j) > c_max ) THEN
785	c_u(k,j) = c_max
786	ENDIF
787	ELSE
788	c_u(k,j) = c_max
789	ENDIF
790
791	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
792
793	IF ( denom /= 0.0_wp ) THEN
794	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
795	IF ( c_v(k,j) < 0.0_wp ) THEN
796	c_v(k,j) = 0.0_wp
797	ELSEIF ( c_v(k,j) > c_max ) THEN
798	c_v(k,j) = c_max
799	ENDIF
800	ELSE
801	c_v(k,j) = c_max
802	ENDIF
803
804	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
805
806	IF ( denom /= 0.0_wp ) THEN
807	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
808	IF ( c_w(k,j) < 0.0_wp ) THEN
809	c_w(k,j) = 0.0_wp
810	ELSEIF ( c_w(k,j) > c_max ) THEN
811	c_w(k,j) = c_max
812	ENDIF
813	ELSE
814	c_w(k,j) = c_max
815	ENDIF
816
817	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
818	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
819	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
820
821	ENDDO
822	ENDDO
823
824	#if defined( __parallel )
825	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
826	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
827	MPI_SUM, comm1dy, ierr )
828	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
829	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
830	MPI_SUM, comm1dy, ierr )
831	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
832	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
833	MPI_SUM, comm1dy, ierr )
834	#else
835	c_u_m = c_u_m_l
836	c_v_m = c_v_m_l
837	c_w_m = c_w_m_l
838	#endif
839
840	c_u_m = c_u_m / (ny+1)
841	c_v_m = c_v_m / (ny+1)
842	c_w_m = c_w_m / (ny+1)
843
844	!
845	!-- Save old timelevels for the next timestep
846	IF ( intermediate_timestep_count == 1 ) THEN
847	u_m_l(:,:,:) = u(:,:,1:2)
848	v_m_l(:,:,:) = v(:,:,0:1)
849	w_m_l(:,:,:) = w(:,:,0:1)
850	ENDIF
851
852	!
853	!-- Calculate the new velocities
854	DO k = nzb+1, nzt+1
855	DO j = nysg, nyng
856	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
857	( u(k,j,0) - u(k,j,1) ) * ddx
858
859	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
860	( v(k,j,-1) - v(k,j,0) ) * ddx
861
862	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
863	( w(k,j,-1) - w(k,j,0) ) * ddx
864	ENDDO
865	ENDDO
866
867	!
868	!-- Bottom boundary at the outflow
869	IF ( ibc_uv_b == 0 ) THEN
870	u_p(nzb,:,0) = 0.0_wp
871	v_p(nzb,:,-1) = 0.0_wp
872	ELSE
873	u_p(nzb,:,0) = u_p(nzb+1,:,0)
874	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
875	ENDIF
876	w_p(nzb,:,-1) = 0.0_wp
877
878	!
879	!-- Top boundary at the outflow
880	IF ( ibc_uv_t == 0 ) THEN
881	u_p(nzt+1,:,0) = u_init(nzt+1)
882	v_p(nzt+1,:,-1) = v_init(nzt+1)
883	ELSE
884	u_p(nzt+1,:,0) = u_p(nzt,:,0)
885	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
886	ENDIF
887	w_p(nzt:nzt+1,:,-1) = 0.0_wp
888
889	ENDIF
890
891	ENDIF
892
893	IF ( bc_radiation_r ) THEN
894
895	IF ( use_cmax ) THEN
896	u_p(:,:,nx+1) = u(:,:,nx)
897	v_p(:,:,nx+1) = v(:,:,nx)
898	w_p(:,:,nx+1) = w(:,:,nx)
899	ELSEIF ( .NOT. use_cmax ) THEN
900
901	c_max = dx / dt_3d
902
903	c_u_m_l = 0.0_wp
904	c_v_m_l = 0.0_wp
905	c_w_m_l = 0.0_wp
906
907	c_u_m = 0.0_wp
908	c_v_m = 0.0_wp
909	c_w_m = 0.0_wp
910
911	!
912	!-- Calculate the phase speeds for u, v, and w, first local and then
913	!-- average along the outflow boundary.
914	DO k = nzb+1, nzt+1
915	DO j = nys, nyn
916
917	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
918
919	IF ( denom /= 0.0_wp ) THEN
920	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
921	IF ( c_u(k,j) < 0.0_wp ) THEN
922	c_u(k,j) = 0.0_wp
923	ELSEIF ( c_u(k,j) > c_max ) THEN
924	c_u(k,j) = c_max
925	ENDIF
926	ELSE
927	c_u(k,j) = c_max
928	ENDIF
929
930	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
931
932	IF ( denom /= 0.0_wp ) THEN
933	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
934	IF ( c_v(k,j) < 0.0_wp ) THEN
935	c_v(k,j) = 0.0_wp
936	ELSEIF ( c_v(k,j) > c_max ) THEN
937	c_v(k,j) = c_max
938	ENDIF
939	ELSE
940	c_v(k,j) = c_max
941	ENDIF
942
943	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
944
945	IF ( denom /= 0.0_wp ) THEN
946	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
947	IF ( c_w(k,j) < 0.0_wp ) THEN
948	c_w(k,j) = 0.0_wp
949	ELSEIF ( c_w(k,j) > c_max ) THEN
950	c_w(k,j) = c_max
951	ENDIF
952	ELSE
953	c_w(k,j) = c_max
954	ENDIF
955
956	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
957	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
958	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
959
960	ENDDO
961	ENDDO
962
963	#if defined( __parallel )
964	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
965	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
966	MPI_SUM, comm1dy, ierr )
967	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
968	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
969	MPI_SUM, comm1dy, ierr )
970	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
971	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
972	MPI_SUM, comm1dy, ierr )
973	#else
974	c_u_m = c_u_m_l
975	c_v_m = c_v_m_l
976	c_w_m = c_w_m_l
977	#endif
978
979	c_u_m = c_u_m / (ny+1)
980	c_v_m = c_v_m / (ny+1)
981	c_w_m = c_w_m / (ny+1)
982
983	!
984	!-- Save old timelevels for the next timestep
985	IF ( intermediate_timestep_count == 1 ) THEN
986	u_m_r(:,:,:) = u(:,:,nx-1:nx)
987	v_m_r(:,:,:) = v(:,:,nx-1:nx)
988	w_m_r(:,:,:) = w(:,:,nx-1:nx)
989	ENDIF
990
991	!
992	!-- Calculate the new velocities
993	DO k = nzb+1, nzt+1
994	DO j = nysg, nyng
995	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
996	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
997
998	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
999	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
1000
1001	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
1002	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
1003	ENDDO
1004	ENDDO
1005
1006	!
1007	!-- Bottom boundary at the outflow
1008	IF ( ibc_uv_b == 0 ) THEN
1009	u_p(nzb,:,nx+1) = 0.0_wp
1010	v_p(nzb,:,nx+1) = 0.0_wp
1011	ELSE
1012	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
1013	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
1014	ENDIF
1015	w_p(nzb,:,nx+1) = 0.0_wp
1016
1017	!
1018	!-- Top boundary at the outflow
1019	IF ( ibc_uv_t == 0 ) THEN
1020	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
1021	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
1022	ELSE
1023	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
1024	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
1025	ENDIF
1026	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
1027
1028	ENDIF
1029
1030	ENDIF
1031
1032	IF ( salsa ) THEN
1033	CALL salsa_boundary_conds
1034	ENDIF
1035
1036	END SUBROUTINE boundary_conds

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