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[1682]	1	!> @file boundary_conds.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	4	!
[2000]	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.
[1036]	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	!
[3655]	17	! Copyright 1997-2019 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1933]	22	!
[3589]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 4087 2019-07-11 11:35:23Z gronemeier $
[4087]	27	! Add comment
	28	!
	29	! 4086 2019-07-11 05:55:44Z gronemeier
[4086]	30	! Bugfix: use constant-flux layer condition for e in all rans modes
	31	!
	32	! 3879 2019-04-08 20:25:23Z knoop
[3717]	33	! Bugfix, do not set boundary conditions for potential temperature in neutral
	34	! runs.
	35	!
	36	! 3655 2019-01-07 16:51:22Z knoop
[3634]	37	! OpenACC port for SPEC
	38	!
	39	! 3589 2018-11-30 15:09:51Z suehring
[3589]	40	! Move the control parameter "salsa" from salsa_mod to control_parameters
	41	! (M. Kurppa)
	42	!
	43	! 3582 2018-11-29 19:16:36Z suehring
[3562]	44	! variables documented
	45	!
	46	! 3467 2018-10-30 19:05:21Z suehring
[3467]	47	! Implementation of a new aerosol module salsa.
	48	!
	49	! 3347 2018-10-15 14:21:08Z suehring
[3347]	50	! Bugfix in setting boundary conditions in offline nesting
	51	!
	52	! 3341 2018-10-15 10:31:27Z suehring
[3294]	53	! changes concerning modularization of ocean option
	54	!
	55	! 3274 2018-09-24 15:42:55Z knoop
[3274]	56	! Modularization of all bulk cloud physics code components
	57	!
	58	! 3241 2018-09-12 15:02:00Z raasch
[3241]	59	! unused variables removed
	60	!
	61	! 3183 2018-07-27 14:25:55Z suehring
[3183]	62	! Rename some variables concerning LES-LES as well as offline nesting
	63	!
	64	! 3182 2018-07-27 13:36:03Z suehring
[3129]	65	! - Use wall function for e_p and diss_p in case of rans_tke_e
	66	! - move limitation of diss_p from tcm_prognostic
	67	!
	68	! 2938 2018-03-27 15:52:42Z suehring
[2938]	69	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	70	! and if parent model operates in RANS mode but child model in LES mode.
	71	! mode
	72	!
	73	! 2793 2018-02-07 10:54:33Z suehring
[2766]	74	! Removed preprocessor directive __chem
	75	!
	76	! 2718 2018-01-02 08:49:38Z maronga
[2716]	77	! Corrected "Former revisions" section
	78	!
	79	! 2696 2017-12-14 17:12:51Z kanani
	80	! Change in file header (GPL part)
[2696]	81	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	82	! Implementation of chemistry module (FK)
	83	!
	84	! 2569 2017-10-20 11:54:42Z kanani
[2569]	85	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	86	!
	87	! 2365 2017-08-21 14:59:59Z kanani
[2365]	88	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	89	! on fine grid (SadiqHuq)
	90	!
	91	! 2320 2017-07-21 12:47:43Z suehring
[2320]	92	! Remove unused control parameter large_scale_forcing from only-list
	93	!
	94	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	95	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	96	! includes two more prognostic equations for cloud drop concentration (nc)
	97	! and cloud water content (qc).
	98	!
	99	! 2233 2017-05-30 18:08:54Z suehring
[1321]	100	!
[2233]	101	! 2232 2017-05-30 17:47:52Z suehring
	102	! Set boundary conditions on topography top using flag method.
	103	!
[2119]	104	! 2118 2017-01-17 16:38:49Z raasch
	105	! OpenACC directives removed
	106	!
[2001]	107	! 2000 2016-08-20 18:09:15Z knoop
	108	! Forced header and separation lines into 80 columns
	109	!
[1993]	110	! 1992 2016-08-12 15:14:59Z suehring
	111	! Adjustments for top boundary condition for passive scalar
	112	!
[1961]	113	! 1960 2016-07-12 16:34:24Z suehring
	114	! Treat humidity and passive scalar separately
	115	!
[1933]	116	! 1823 2016-04-07 08:57:52Z hoffmann
	117	! Initial version of purely vertical nesting introduced.
	118	!
[1823]	119	! 1822 2016-04-07 07:49:42Z hoffmann
	120	! icloud_scheme removed. microphyisics_seifert added.
	121	!
[1765]	122	! 1764 2016-02-28 12:45:19Z raasch
	123	! index bug for u_p at left outflow removed
	124	!
[1763]	125	! 1762 2016-02-25 12:31:13Z hellstea
	126	! Introduction of nested domain feature
	127	!
[1744]	128	! 1742 2016-01-13 09:50:06Z raasch
	129	! bugfix for outflow Neumann boundary conditions at bottom and top
	130	!
[1718]	131	! 1717 2015-11-11 15:09:47Z raasch
	132	! Bugfix: index error in outflow conditions for left boundary
	133	!
[1683]	134	! 1682 2015-10-07 23:56:08Z knoop
	135	! Code annotations made doxygen readable
	136	!
[1717]	137	! 1410 2014-05-23 12:16:18Z suehring
[1463]	138	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	139	! top
	140	!
[1410]	141	! 1399 2014-05-07 11:16:25Z heinze
	142	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	143	! is used.
	144	!
[1399]	145	! 1398 2014-05-07 11:15:00Z heinze
	146	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	147	! for large_scale_forcing
	148	!
[1381]	149	! 1380 2014-04-28 12:40:45Z heinze
	150	! Adjust Dirichlet-condition at the top for pt in case of nudging
	151	!
[1362]	152	! 1361 2014-04-16 15:17:48Z hoffmann
	153	! Bottom and top boundary conditions of rain water content (qr) and
	154	! rain drop concentration (nr) changed to Dirichlet
	155	!
[1354]	156	! 1353 2014-04-08 15:21:23Z heinze
	157	! REAL constants provided with KIND-attribute
	158	!
[1321]	159	! 1320 2014-03-20 08:40:49Z raasch
[1320]	160	! ONLY-attribute added to USE-statements,
	161	! kind-parameters added to all INTEGER and REAL declaration statements,
	162	! kinds are defined in new module kinds,
	163	! revision history before 2012 removed,
	164	! comment fields (!:) to be used for variable explanations added to
	165	! all variable declaration statements
[1160]	166	!
[1258]	167	! 1257 2013-11-08 15:18:40Z raasch
	168	! loop independent clauses added
	169	!
[1242]	170	! 1241 2013-10-30 11:36:58Z heinze
	171	! Adjust ug and vg at each timestep in case of large_scale_forcing
	172	!
[1160]	173	! 1159 2013-05-21 11:58:22Z fricke
[1159]	174	! Bugfix: Neumann boundary conditions for the velocity components at the
	175	! outflow are in fact radiation boundary conditions using the maximum phase
	176	! velocity that ensures numerical stability (CFL-condition).
	177	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	178	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	179	! u_p, v_p, w_p
[1116]	180	!
	181	! 1115 2013-03-26 18:16:16Z hoffmann
	182	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	183	! boundary-conditions
	184	!
[1114]	185	! 1113 2013-03-10 02:48:14Z raasch
	186	! GPU-porting
	187	! dummy argument "range" removed
	188	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	189	!
[1054]	190	! 1053 2012-11-13 17:11:03Z hoffmann
	191	! boundary conditions for the two new prognostic equations (nr, qr) of the
	192	! two-moment cloud scheme
	193	!
[1037]	194	! 1036 2012-10-22 13:43:42Z raasch
	195	! code put under GPL (PALM 3.9)
	196	!
[997]	197	! 996 2012-09-07 10:41:47Z raasch
	198	! little reformatting
	199	!
[979]	200	! 978 2012-08-09 08:28:32Z fricke
	201	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	202	! Outflow boundary conditions for the velocity components can be set to Neumann
	203	! conditions or to radiation conditions with a horizontal averaged phase
	204	! velocity.
	205	!
[876]	206	! 875 2012-04-02 15:35:15Z gryschka
	207	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	208	!
[1]	209	! Revision 1.1 1997/09/12 06:21:34 raasch
	210	! Initial revision
	211	!
	212	!
	213	! Description:
	214	! ------------
[1682]	215	!> Boundary conditions for the prognostic quantities.
	216	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	217	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	218	!> handled in routine exchange_horiz. Pressure boundary conditions are
	219	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	220	!------------------------------------------------------------------------------!
[1682]	221	SUBROUTINE boundary_conds
	222
[1]	223
[1320]	224	USE arrays_3d, &
	225	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, &
[3241]	226	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	227	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	228	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, &
	229	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	230
[3274]	231	USE basic_constants_and_equations_mod, &
	232	ONLY: kappa
	233
[3294]	234	USE bulk_cloud_model_mod, &
	235	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
	236
[2696]	237	USE chemistry_model_mod, &
[3879]	238	ONLY: chem_boundary_conds
	239
[1320]	240	USE control_parameters, &
[3182]	241	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	242	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	243	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
[3582]	244	child_domain, constant_diffusion, coupling_mode, dt_3d, &
	245	humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
	246	ibc_s_t, ibc_uv_b, ibc_uv_t, intermediate_timestep_count, &
[3717]	247	nesting_offline, neutral, nudging, ocean_mode, passive_scalar, &
	248	rans_mode, rans_tke_e, tsc, salsa, use_cmax
[1320]	249
	250	USE grid_variables, &
	251	ONLY: ddx, ddy, dx, dy
	252
	253	USE indices, &
[3294]	254	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
[1320]	255
	256	USE kinds
	257
[3294]	258	USE ocean_mod, &
	259	ONLY: ibc_sa_t
[3274]	260
[1]	261	USE pegrid
	262
[1933]	263	USE pmc_interface, &
[2938]	264	ONLY : nesting_mode, rans_mode_parent
[3467]	265
	266	USE salsa_mod, &
[3582]	267	ONLY: salsa_boundary_conds
[1320]	268
[2232]	269	USE surface_mod, &
[3129]	270	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	271	surf_usm_h, surf_usm_v
[1933]	272
[3129]	273	USE turbulence_closure_mod, &
	274	ONLY: c_0
	275
[1]	276	IMPLICIT NONE
	277
[2232]	278	INTEGER(iwp) :: i !< grid index x direction
	279	INTEGER(iwp) :: j !< grid index y direction
	280	INTEGER(iwp) :: k !< grid index z direction
	281	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	282	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	283	INTEGER(iwp) :: m !< running index surface elements
[1]	284
[3562]	285	REAL(wp) :: c_max !< maximum phase velocity allowed by CFL criterion, used for outflow boundary condition
	286	REAL(wp) :: denom !< horizontal gradient of velocity component normal to the outflow boundary
[1]	287
[73]	288
[1]	289	!
[1113]	290	!-- Bottom boundary
	291	IF ( ibc_uv_b == 1 ) THEN
	292	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	293	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	294	ENDIF
[2232]	295	!
	296	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	297	!-- of downward-facing surfaces.
	298	DO l = 0, 1
	299	!
	300	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	301	!-- for downward-facing surfaces at topography bottom (k+1).
	302	kb = MERGE( -1, 1, l == 0 )
	303	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	304	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	305	!$ACC PRESENT(bc_h, w_p)
[2232]	306	DO m = 1, bc_h(l)%ns
	307	i = bc_h(l)%i(m)
	308	j = bc_h(l)%j(m)
	309	k = bc_h(l)%k(m)
	310	w_p(k+kb,j,i) = 0.0_wp
[1113]	311	ENDDO
	312	ENDDO
	313
	314	!
[1762]	315	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	316	IF ( ibc_uv_t == 0 ) THEN
[3634]	317	!$ACC KERNELS PRESENT(u_p, v_p, u_init, v_init)
[1113]	318	u_p(nzt+1,:,:) = u_init(nzt+1)
	319	v_p(nzt+1,:,:) = v_init(nzt+1)
[3634]	320	!$ACC END KERNELS
[1762]	321	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	322	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	323	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	324	ENDIF
	325
[2365]	326	!
	327	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3347]	328	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
[2365]	329	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
[3634]	330	!$ACC KERNELS PRESENT(w_p)
[2365]	331	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[3634]	332	!$ACC END KERNELS
[1762]	333	ENDIF
	334
[1113]	335	!
[2232]	336	!-- Temperature at bottom and top boundary.
[1113]	337	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	338	!-- the sea surface temperature of the coupled ocean model.
[2232]	339	!-- Dirichlet
[3717]	340	IF ( .NOT. neutral ) THEN
	341	IF ( ibc_pt_b == 0 ) THEN
	342	DO l = 0, 1
	343	!
	344	!-- Set kb, for upward-facing surfaces value at topography top (k-1)
	345	!-- is set, for downward-facing surfaces at topography bottom (k+1).
	346	kb = MERGE( -1, 1, l == 0 )
	347	!$OMP PARALLEL DO PRIVATE( i, j, k )
	348	DO m = 1, bc_h(l)%ns
	349	i = bc_h(l)%i(m)
	350	j = bc_h(l)%j(m)
	351	k = bc_h(l)%k(m)
	352	pt_p(k+kb,j,i) = pt(k+kb,j,i)
	353	ENDDO
[1]	354	ENDDO
[3717]	355	!
	356	!-- Neumann, zero-gradient
	357	ELSEIF ( ibc_pt_b == 1 ) THEN
	358	DO l = 0, 1
	359	!
	360	!-- Set kb, for upward-facing surfaces value at topography top (k-1)
	361	!-- is set, for downward-facing surfaces at topography bottom (k+1).
	362	kb = MERGE( -1, 1, l == 0 )
	363	!$OMP PARALLEL DO PRIVATE( i, j, k )
	364	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	365	!$ACC PRESENT(bc_h, pt_p)
	366	DO m = 1, bc_h(l)%ns
	367	i = bc_h(l)%i(m)
	368	j = bc_h(l)%j(m)
	369	k = bc_h(l)%k(m)
	370	pt_p(k+kb,j,i) = pt_p(k,j,i)
	371	ENDDO
[1113]	372	ENDDO
[3717]	373	ENDIF
	374
	375	!
	376	!-- Temperature at top boundary
	377	IF ( ibc_pt_t == 0 ) THEN
	378	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	379	!
	380	!-- In case of nudging adjust top boundary to pt which is
	381	!-- read in from NUDGING-DATA
	382	IF ( nudging ) THEN
	383	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	384	ENDIF
	385	ELSEIF ( ibc_pt_t == 1 ) THEN
	386	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	387	ELSEIF ( ibc_pt_t == 2 ) THEN
	388	!$ACC KERNELS PRESENT(pt_p, dzu)
	389	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	390	!$ACC END KERNELS
	391	ENDIF
[1113]	392	ENDIF
[1]	393
	394	!
[2938]	395	!-- Boundary conditions for TKE.
	396	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	397	IF ( .NOT. constant_diffusion ) THEN
[2232]	398
[4086]	399	IF ( .NOT. rans_mode ) THEN
[2696]	400	DO l = 0, 1
[2232]	401	!
[2696]	402	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	403	!-- for downward-facing surfaces at topography bottom (k+1).
	404	kb = MERGE( -1, 1, l == 0 )
	405	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	406	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	407	!$ACC PRESENT(bc_h, e_p)
[2696]	408	DO m = 1, bc_h(l)%ns
	409	i = bc_h(l)%i(m)
	410	j = bc_h(l)%j(m)
	411	k = bc_h(l)%k(m)
	412	e_p(k+kb,j,i) = e_p(k,j,i)
	413	ENDDO
[73]	414	ENDDO
[3129]	415	ELSE
	416	!
	417	!-- Use wall function within constant-flux layer
[4087]	418	!-- Note, grid points listed in bc_h are not included in any calculations in RANS mode and
	419	!-- are therefore not set here.
	420	!
[3129]	421	!-- Upward-facing surfaces
	422	!-- Default surfaces
	423	DO m = 1, surf_def_h(0)%ns
	424	i = surf_def_h(0)%i(m)
	425	j = surf_def_h(0)%j(m)
	426	k = surf_def_h(0)%k(m)
	427	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	428	ENDDO
	429	!
	430	!-- Natural surfaces
	431	DO m = 1, surf_lsm_h%ns
	432	i = surf_lsm_h%i(m)
	433	j = surf_lsm_h%j(m)
	434	k = surf_lsm_h%k(m)
	435	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	436	ENDDO
	437	!
	438	!-- Urban surfaces
	439	DO m = 1, surf_usm_h%ns
	440	i = surf_usm_h%i(m)
	441	j = surf_usm_h%j(m)
	442	k = surf_usm_h%k(m)
	443	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	444	ENDDO
	445	!
	446	!-- Vertical surfaces
	447	DO l = 0, 3
	448	!
	449	!-- Default surfaces
	450	DO m = 1, surf_def_v(l)%ns
	451	i = surf_def_v(l)%i(m)
	452	j = surf_def_v(l)%j(m)
	453	k = surf_def_v(l)%k(m)
	454	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	455	ENDDO
	456	!
	457	!-- Natural surfaces
	458	DO m = 1, surf_lsm_v(l)%ns
	459	i = surf_lsm_v(l)%i(m)
	460	j = surf_lsm_v(l)%j(m)
	461	k = surf_lsm_v(l)%k(m)
	462	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	463	ENDDO
	464	!
	465	!-- Urban surfaces
	466	DO m = 1, surf_usm_v(l)%ns
	467	i = surf_usm_v(l)%i(m)
	468	j = surf_usm_v(l)%j(m)
	469	k = surf_usm_v(l)%k(m)
	470	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	471	ENDDO
	472	ENDDO
[2696]	473	ENDIF
[2232]	474
[3182]	475	IF ( .NOT. child_domain ) THEN
[3634]	476	!$ACC KERNELS PRESENT(e_p)
[1762]	477	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3634]	478	!$ACC END KERNELS
[2938]	479	!
	480	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	481	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	482	!-- top child boundaries.
	483	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	484	!-- is treated in the nesting.
	485	ELSE
	486
	487	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	488
	489	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	490	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	491	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	492	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	493	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	494
	495	ENDIF
[1762]	496	ENDIF
[1113]	497	ENDIF
	498
	499	!
[2938]	500	!-- Boundary conditions for TKE dissipation rate.
[3129]	501	IF ( rans_tke_e ) THEN
	502	!
	503	!-- Use wall function within constant-flux layer
	504	!-- Upward-facing surfaces
	505	!-- Default surfaces
	506	DO m = 1, surf_def_h(0)%ns
	507	i = surf_def_h(0)%i(m)
	508	j = surf_def_h(0)%j(m)
	509	k = surf_def_h(0)%k(m)
	510	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	511	/ ( kappa * surf_def_h(0)%z_mo(m) )
	512	ENDDO
	513	!
	514	!-- Natural surfaces
	515	DO m = 1, surf_lsm_h%ns
	516	i = surf_lsm_h%i(m)
	517	j = surf_lsm_h%j(m)
	518	k = surf_lsm_h%k(m)
	519	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	520	/ ( kappa * surf_lsm_h%z_mo(m) )
	521	ENDDO
	522	!
	523	!-- Urban surfaces
	524	DO m = 1, surf_usm_h%ns
	525	i = surf_usm_h%i(m)
	526	j = surf_usm_h%j(m)
	527	k = surf_usm_h%k(m)
	528	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	529	/ ( kappa * surf_usm_h%z_mo(m) )
	530	ENDDO
	531	!
	532	!-- Vertical surfaces
	533	DO l = 0, 3
	534	!
	535	!-- Default surfaces
	536	DO m = 1, surf_def_v(l)%ns
	537	i = surf_def_v(l)%i(m)
	538	j = surf_def_v(l)%j(m)
	539	k = surf_def_v(l)%k(m)
	540	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	541	/ ( kappa * surf_def_v(l)%z_mo(m) )
	542	ENDDO
	543	!
	544	!-- Natural surfaces
	545	DO m = 1, surf_lsm_v(l)%ns
	546	i = surf_lsm_v(l)%i(m)
	547	j = surf_lsm_v(l)%j(m)
	548	k = surf_lsm_v(l)%k(m)
	549	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	550	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	551	ENDDO
	552	!
	553	!-- Urban surfaces
	554	DO m = 1, surf_usm_v(l)%ns
	555	i = surf_usm_v(l)%i(m)
	556	j = surf_usm_v(l)%j(m)
	557	k = surf_usm_v(l)%k(m)
	558	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	559	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	560	ENDDO
	561	ENDDO
	562	!
	563	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	564	!-- minimum value
	565	DO i = nxl, nxr
	566	DO j = nys, nyn
	567	DO k = nzb, nzt+1
	568	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	569	2.0_wp * diss(k,j,i) ), &
	570	0.1_wp * diss(k,j,i), &
	571	0.0001_wp )
	572	ENDDO
	573	ENDDO
	574	ENDDO
	575
[3182]	576	IF ( .NOT. child_domain ) THEN
[3129]	577	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	578	ENDIF
[2696]	579	ENDIF
	580
	581	!
[1113]	582	!-- Boundary conditions for salinity
[3294]	583	IF ( ocean_mode ) THEN
[1113]	584	!
	585	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	586	!-- given.
	587	DO l = 0, 1
	588	!
	589	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	590	!-- for downward-facing surfaces at topography bottom (k+1).
	591	kb = MERGE( -1, 1, l == 0 )
	592	!$OMP PARALLEL DO PRIVATE( i, j, k )
	593	DO m = 1, bc_h(l)%ns
	594	i = bc_h(l)%i(m)
	595	j = bc_h(l)%j(m)
	596	k = bc_h(l)%k(m)
	597	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	598	ENDDO
[1113]	599	ENDDO
[1]	600	!
[1113]	601	!-- Top boundary: Dirichlet or Neumann
	602	IF ( ibc_sa_t == 0 ) THEN
	603	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	604	ELSEIF ( ibc_sa_t == 1 ) THEN
	605	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	606	ENDIF
	607
[1113]	608	ENDIF
	609
[1]	610	!
[1960]	611	!-- Boundary conditions for total water content,
[1113]	612	!-- bottom and top boundary (see also temperature)
[1960]	613	IF ( humidity ) THEN
[1113]	614	!
	615	!-- Surface conditions for constant_humidity_flux
[2232]	616	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	617	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	618	!-- q_p at k-1
[1113]	619	IF ( ibc_q_b == 0 ) THEN
[2232]	620
	621	DO l = 0, 1
	622	!
	623	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	624	!-- for downward-facing surfaces at topography bottom (k+1).
	625	kb = MERGE( -1, 1, l == 0 )
	626	!$OMP PARALLEL DO PRIVATE( i, j, k )
	627	DO m = 1, bc_h(l)%ns
	628	i = bc_h(l)%i(m)
	629	j = bc_h(l)%j(m)
	630	k = bc_h(l)%k(m)
	631	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	632	ENDDO
	633	ENDDO
[2232]	634
[1113]	635	ELSE
[2232]	636
	637	DO l = 0, 1
	638	!
	639	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	640	!-- for downward-facing surfaces at topography bottom (k+1).
	641	kb = MERGE( -1, 1, l == 0 )
	642	!$OMP PARALLEL DO PRIVATE( i, j, k )
	643	DO m = 1, bc_h(l)%ns
	644	i = bc_h(l)%i(m)
	645	j = bc_h(l)%j(m)
	646	k = bc_h(l)%k(m)
	647	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	648	ENDDO
	649	ENDDO
[1113]	650	ENDIF
[95]	651	!
[1113]	652	!-- Top boundary
[1462]	653	IF ( ibc_q_t == 0 ) THEN
	654	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	655	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	656	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	657	ENDIF
[95]	658
[3274]	659	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	660	!
	661	!-- Surface conditions cloud water (Dirichlet)
	662	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	663	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	664	!-- qr_p and nr_p at k-1
	665	!$OMP PARALLEL DO PRIVATE( i, j, k )
	666	DO m = 1, bc_h(0)%ns
	667	i = bc_h(0)%i(m)
	668	j = bc_h(0)%j(m)
	669	k = bc_h(0)%k(m)
	670	qc_p(k-1,j,i) = 0.0_wp
	671	nc_p(k-1,j,i) = 0.0_wp
	672	ENDDO
	673	!
	674	!-- Top boundary condition for cloud water (Dirichlet)
	675	qc_p(nzt+1,:,:) = 0.0_wp
	676	nc_p(nzt+1,:,:) = 0.0_wp
	677
	678	ENDIF
	679
[3274]	680	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1113]	681	!
[1361]	682	!-- Surface conditions rain water (Dirichlet)
[2232]	683	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	684	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	685	!-- qr_p and nr_p at k-1
	686	!$OMP PARALLEL DO PRIVATE( i, j, k )
	687	DO m = 1, bc_h(0)%ns
	688	i = bc_h(0)%i(m)
	689	j = bc_h(0)%j(m)
	690	k = bc_h(0)%k(m)
	691	qr_p(k-1,j,i) = 0.0_wp
	692	nr_p(k-1,j,i) = 0.0_wp
[1115]	693	ENDDO
[1]	694	!
[1361]	695	!-- Top boundary condition for rain water (Dirichlet)
	696	qr_p(nzt+1,:,:) = 0.0_wp
	697	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	698
[1]	699	ENDIF
[1409]	700	ENDIF
[1]	701	!
[1960]	702	!-- Boundary conditions for scalar,
	703	!-- bottom and top boundary (see also temperature)
	704	IF ( passive_scalar ) THEN
	705	!
	706	!-- Surface conditions for constant_humidity_flux
[2232]	707	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	708	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	709	!-- s_p at k-1
[1960]	710	IF ( ibc_s_b == 0 ) THEN
[2232]	711
	712	DO l = 0, 1
	713	!
	714	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	715	!-- for downward-facing surfaces at topography bottom (k+1).
	716	kb = MERGE( -1, 1, l == 0 )
	717	!$OMP PARALLEL DO PRIVATE( i, j, k )
	718	DO m = 1, bc_h(l)%ns
	719	i = bc_h(l)%i(m)
	720	j = bc_h(l)%j(m)
	721	k = bc_h(l)%k(m)
	722	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	723	ENDDO
	724	ENDDO
[2232]	725
[1960]	726	ELSE
[2232]	727
	728	DO l = 0, 1
	729	!
	730	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	731	!-- for downward-facing surfaces at topography bottom (k+1).
	732	kb = MERGE( -1, 1, l == 0 )
	733	!$OMP PARALLEL DO PRIVATE( i, j, k )
	734	DO m = 1, bc_h(l)%ns
	735	i = bc_h(l)%i(m)
	736	j = bc_h(l)%j(m)
	737	k = bc_h(l)%k(m)
	738	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	739	ENDDO
	740	ENDDO
	741	ENDIF
	742	!
[1992]	743	!-- Top boundary condition
	744	IF ( ibc_s_t == 0 ) THEN
[1960]	745	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	746	ELSEIF ( ibc_s_t == 1 ) THEN
	747	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	748	ELSEIF ( ibc_s_t == 2 ) THEN
	749	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	750	ENDIF
	751
	752	ENDIF
	753	!
[2696]	754	!-- Top/bottom boundary conditions for chemical species
	755	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	756	!
[1762]	757	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	758	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	759	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	760	!-- version) these levels are handled as a prognostic level, boundary values
	761	!-- have to be restored here.
[1409]	762	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	763	IF ( bc_dirichlet_s ) THEN
[1409]	764	v_p(:,nys,:) = v_p(:,nys-1,:)
	765	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	766	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	767	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	768	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	769	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	770	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	771	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	772	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	773	ENDIF
[1]	774
	775	!
[1762]	776	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	777	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	778	!-- mode as in that case the lateral boundaries are actually cyclic.
	779	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	780	IF ( bc_dirichlet_s ) THEN
[1933]	781	v_p(:,nys,:) = v_p(:,nys-1,:)
	782	ENDIF
[3182]	783	IF ( bc_dirichlet_l ) THEN
[1933]	784	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	785	ENDIF
[1762]	786	ENDIF
	787
	788	!
[1409]	789	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	790	IF ( bc_radiation_s ) THEN
[1409]	791	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	792	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	793	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	794	IF ( humidity ) THEN
[1409]	795	q_p(:,nys-1,:) = q_p(:,nys,:)
[3274]	796	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	797	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	798	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	799	ENDIF
[3274]	800	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	801	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	802	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	803	ENDIF
[1409]	804	ENDIF
[1960]	805	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	806	ELSEIF ( bc_radiation_n ) THEN
[1409]	807	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	808	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	809	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	810	IF ( humidity ) THEN
[1409]	811	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[3274]	812	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	813	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	814	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	815	ENDIF
[3274]	816	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	817	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	818	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	819	ENDIF
[1409]	820	ENDIF
[1960]	821	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	822	ELSEIF ( bc_radiation_l ) THEN
[1409]	823	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	824	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	825	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	826	IF ( humidity ) THEN
[1409]	827	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[3274]	828	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	829	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	830	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	831	ENDIF
[3274]	832	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	833	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	834	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	835	ENDIF
[1409]	836	ENDIF
[1960]	837	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	838	ELSEIF ( bc_radiation_r ) THEN
[1409]	839	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	840	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	841	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	842	IF ( humidity ) THEN
[1409]	843	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[3274]	844	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	845	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	846	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	847	ENDIF
[3274]	848	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	849	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	850	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	851	ENDIF
[1]	852	ENDIF
[1960]	853	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	854	ENDIF
	855
	856	!
[2696]	857	!-- Lateral boundary conditions for chemical species
	858	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	859
	860	!
[1159]	861	!-- Radiation boundary conditions for the velocities at the respective outflow.
	862	!-- The phase velocity is either assumed to the maximum phase velocity that
	863	!-- ensures numerical stability (CFL-condition) or calculated after
	864	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	865	IF ( bc_radiation_s ) THEN
[75]	866
[1159]	867	IF ( use_cmax ) THEN
	868	u_p(:,-1,:) = u(:,0,:)
	869	v_p(:,0,:) = v(:,1,:)
	870	w_p(:,-1,:) = w(:,0,:)
	871	ELSEIF ( .NOT. use_cmax ) THEN
[75]	872
[978]	873	c_max = dy / dt_3d
[75]	874
[1353]	875	c_u_m_l = 0.0_wp
	876	c_v_m_l = 0.0_wp
	877	c_w_m_l = 0.0_wp
[978]	878
[1353]	879	c_u_m = 0.0_wp
	880	c_v_m = 0.0_wp
	881	c_w_m = 0.0_wp
[978]	882
[75]	883	!
[996]	884	!-- Calculate the phase speeds for u, v, and w, first local and then
	885	!-- average along the outflow boundary.
	886	DO k = nzb+1, nzt+1
	887	DO i = nxl, nxr
[75]	888
[106]	889	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	890
[1353]	891	IF ( denom /= 0.0_wp ) THEN
[996]	892	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	893	IF ( c_u(k,i) < 0.0_wp ) THEN
	894	c_u(k,i) = 0.0_wp
[106]	895	ELSEIF ( c_u(k,i) > c_max ) THEN
	896	c_u(k,i) = c_max
	897	ENDIF
	898	ELSE
	899	c_u(k,i) = c_max
[75]	900	ENDIF
	901
[106]	902	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	903
[1353]	904	IF ( denom /= 0.0_wp ) THEN
[996]	905	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	906	IF ( c_v(k,i) < 0.0_wp ) THEN
	907	c_v(k,i) = 0.0_wp
[106]	908	ELSEIF ( c_v(k,i) > c_max ) THEN
	909	c_v(k,i) = c_max
	910	ENDIF
	911	ELSE
	912	c_v(k,i) = c_max
[75]	913	ENDIF
	914
[106]	915	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	916
[1353]	917	IF ( denom /= 0.0_wp ) THEN
[996]	918	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	919	IF ( c_w(k,i) < 0.0_wp ) THEN
	920	c_w(k,i) = 0.0_wp
[106]	921	ELSEIF ( c_w(k,i) > c_max ) THEN
	922	c_w(k,i) = c_max
	923	ENDIF
	924	ELSE
	925	c_w(k,i) = c_max
[75]	926	ENDIF
[106]	927
[978]	928	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	929	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	930	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	931
[978]	932	ENDDO
	933	ENDDO
[75]	934
[978]	935	#if defined( __parallel )
	936	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	937	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	938	MPI_SUM, comm1dx, ierr )
	939	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	940	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	941	MPI_SUM, comm1dx, ierr )
	942	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	943	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	944	MPI_SUM, comm1dx, ierr )
	945	#else
	946	c_u_m = c_u_m_l
	947	c_v_m = c_v_m_l
	948	c_w_m = c_w_m_l
	949	#endif
	950
	951	c_u_m = c_u_m / (nx+1)
	952	c_v_m = c_v_m / (nx+1)
	953	c_w_m = c_w_m / (nx+1)
	954
[75]	955	!
[978]	956	!-- Save old timelevels for the next timestep
	957	IF ( intermediate_timestep_count == 1 ) THEN
	958	u_m_s(:,:,:) = u(:,0:1,:)
	959	v_m_s(:,:,:) = v(:,1:2,:)
	960	w_m_s(:,:,:) = w(:,0:1,:)
	961	ENDIF
	962
	963	!
	964	!-- Calculate the new velocities
[996]	965	DO k = nzb+1, nzt+1
	966	DO i = nxlg, nxrg
[978]	967	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	968	( u(k,-1,i) - u(k,0,i) ) * ddy
	969
[978]	970	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	971	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	972
[978]	973	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	974	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	975	ENDDO
[75]	976	ENDDO
	977
	978	!
[978]	979	!-- Bottom boundary at the outflow
	980	IF ( ibc_uv_b == 0 ) THEN
[1353]	981	u_p(nzb,-1,:) = 0.0_wp
	982	v_p(nzb,0,:) = 0.0_wp
[978]	983	ELSE
	984	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	985	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	986	ENDIF
[1353]	987	w_p(nzb,-1,:) = 0.0_wp
[73]	988
[75]	989	!
[978]	990	!-- Top boundary at the outflow
	991	IF ( ibc_uv_t == 0 ) THEN
	992	u_p(nzt+1,-1,:) = u_init(nzt+1)
	993	v_p(nzt+1,0,:) = v_init(nzt+1)
	994	ELSE
[1742]	995	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	996	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	997	ENDIF
[1353]	998	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	999
[75]	1000	ENDIF
[73]	1001
[75]	1002	ENDIF
[73]	1003
[3182]	1004	IF ( bc_radiation_n ) THEN
[73]	1005
[1159]	1006	IF ( use_cmax ) THEN
	1007	u_p(:,ny+1,:) = u(:,ny,:)
	1008	v_p(:,ny+1,:) = v(:,ny,:)
	1009	w_p(:,ny+1,:) = w(:,ny,:)
	1010	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1011
[978]	1012	c_max = dy / dt_3d
[75]	1013
[1353]	1014	c_u_m_l = 0.0_wp
	1015	c_v_m_l = 0.0_wp
	1016	c_w_m_l = 0.0_wp
[978]	1017
[1353]	1018	c_u_m = 0.0_wp
	1019	c_v_m = 0.0_wp
	1020	c_w_m = 0.0_wp
[978]	1021
[1]	1022	!
[996]	1023	!-- Calculate the phase speeds for u, v, and w, first local and then
	1024	!-- average along the outflow boundary.
	1025	DO k = nzb+1, nzt+1
	1026	DO i = nxl, nxr
[73]	1027
[106]	1028	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	1029
[1353]	1030	IF ( denom /= 0.0_wp ) THEN
[996]	1031	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1032	IF ( c_u(k,i) < 0.0_wp ) THEN
	1033	c_u(k,i) = 0.0_wp
[106]	1034	ELSEIF ( c_u(k,i) > c_max ) THEN
	1035	c_u(k,i) = c_max
	1036	ENDIF
	1037	ELSE
	1038	c_u(k,i) = c_max
[73]	1039	ENDIF
	1040
[106]	1041	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	1042
[1353]	1043	IF ( denom /= 0.0_wp ) THEN
[996]	1044	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1045	IF ( c_v(k,i) < 0.0_wp ) THEN
	1046	c_v(k,i) = 0.0_wp
[106]	1047	ELSEIF ( c_v(k,i) > c_max ) THEN
	1048	c_v(k,i) = c_max
	1049	ENDIF
	1050	ELSE
	1051	c_v(k,i) = c_max
[73]	1052	ENDIF
	1053
[106]	1054	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	1055
[1353]	1056	IF ( denom /= 0.0_wp ) THEN
[996]	1057	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1058	IF ( c_w(k,i) < 0.0_wp ) THEN
	1059	c_w(k,i) = 0.0_wp
[106]	1060	ELSEIF ( c_w(k,i) > c_max ) THEN
	1061	c_w(k,i) = c_max
	1062	ENDIF
	1063	ELSE
	1064	c_w(k,i) = c_max
[73]	1065	ENDIF
[106]	1066
[978]	1067	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1068	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1069	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1070
[978]	1071	ENDDO
	1072	ENDDO
[73]	1073
[978]	1074	#if defined( __parallel )
	1075	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1076	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1077	MPI_SUM, comm1dx, ierr )
	1078	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1079	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1080	MPI_SUM, comm1dx, ierr )
	1081	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1082	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1083	MPI_SUM, comm1dx, ierr )
	1084	#else
	1085	c_u_m = c_u_m_l
	1086	c_v_m = c_v_m_l
	1087	c_w_m = c_w_m_l
	1088	#endif
	1089
	1090	c_u_m = c_u_m / (nx+1)
	1091	c_v_m = c_v_m / (nx+1)
	1092	c_w_m = c_w_m / (nx+1)
	1093
[73]	1094	!
[978]	1095	!-- Save old timelevels for the next timestep
	1096	IF ( intermediate_timestep_count == 1 ) THEN
	1097	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1098	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1099	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1100	ENDIF
[73]	1101
[978]	1102	!
	1103	!-- Calculate the new velocities
[996]	1104	DO k = nzb+1, nzt+1
	1105	DO i = nxlg, nxrg
[978]	1106	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1107	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1108
[978]	1109	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1110	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1111
[978]	1112	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1113	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1114	ENDDO
[1]	1115	ENDDO
	1116
	1117	!
[978]	1118	!-- Bottom boundary at the outflow
	1119	IF ( ibc_uv_b == 0 ) THEN
[1353]	1120	u_p(nzb,ny+1,:) = 0.0_wp
	1121	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1122	ELSE
	1123	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1124	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1125	ENDIF
[1353]	1126	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1127
	1128	!
[978]	1129	!-- Top boundary at the outflow
	1130	IF ( ibc_uv_t == 0 ) THEN
	1131	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1132	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1133	ELSE
	1134	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1135	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1136	ENDIF
[1353]	1137	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1138
[1]	1139	ENDIF
	1140
[75]	1141	ENDIF
	1142
[3182]	1143	IF ( bc_radiation_l ) THEN
[75]	1144
[1159]	1145	IF ( use_cmax ) THEN
[1717]	1146	u_p(:,:,0) = u(:,:,1)
	1147	v_p(:,:,-1) = v(:,:,0)
[1159]	1148	w_p(:,:,-1) = w(:,:,0)
	1149	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1150
[978]	1151	c_max = dx / dt_3d
[75]	1152
[1353]	1153	c_u_m_l = 0.0_wp
	1154	c_v_m_l = 0.0_wp
	1155	c_w_m_l = 0.0_wp
[978]	1156
[1353]	1157	c_u_m = 0.0_wp
	1158	c_v_m = 0.0_wp
	1159	c_w_m = 0.0_wp
[978]	1160
[1]	1161	!
[996]	1162	!-- Calculate the phase speeds for u, v, and w, first local and then
	1163	!-- average along the outflow boundary.
	1164	DO k = nzb+1, nzt+1
	1165	DO j = nys, nyn
[75]	1166
[106]	1167	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1168
[1353]	1169	IF ( denom /= 0.0_wp ) THEN
[996]	1170	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1171	IF ( c_u(k,j) < 0.0_wp ) THEN
	1172	c_u(k,j) = 0.0_wp
[107]	1173	ELSEIF ( c_u(k,j) > c_max ) THEN
	1174	c_u(k,j) = c_max
[106]	1175	ENDIF
	1176	ELSE
[107]	1177	c_u(k,j) = c_max
[75]	1178	ENDIF
	1179
[106]	1180	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1181
[1353]	1182	IF ( denom /= 0.0_wp ) THEN
[996]	1183	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1184	IF ( c_v(k,j) < 0.0_wp ) THEN
	1185	c_v(k,j) = 0.0_wp
[106]	1186	ELSEIF ( c_v(k,j) > c_max ) THEN
	1187	c_v(k,j) = c_max
	1188	ENDIF
	1189	ELSE
	1190	c_v(k,j) = c_max
[75]	1191	ENDIF
	1192
[106]	1193	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1194
[1353]	1195	IF ( denom /= 0.0_wp ) THEN
[996]	1196	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1197	IF ( c_w(k,j) < 0.0_wp ) THEN
	1198	c_w(k,j) = 0.0_wp
[106]	1199	ELSEIF ( c_w(k,j) > c_max ) THEN
	1200	c_w(k,j) = c_max
	1201	ENDIF
	1202	ELSE
	1203	c_w(k,j) = c_max
[75]	1204	ENDIF
[106]	1205
[978]	1206	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1207	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1208	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1209
[978]	1210	ENDDO
	1211	ENDDO
[75]	1212
[978]	1213	#if defined( __parallel )
	1214	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1215	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1216	MPI_SUM, comm1dy, ierr )
	1217	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1218	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1219	MPI_SUM, comm1dy, ierr )
	1220	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1221	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1222	MPI_SUM, comm1dy, ierr )
	1223	#else
	1224	c_u_m = c_u_m_l
	1225	c_v_m = c_v_m_l
	1226	c_w_m = c_w_m_l
	1227	#endif
	1228
	1229	c_u_m = c_u_m / (ny+1)
	1230	c_v_m = c_v_m / (ny+1)
	1231	c_w_m = c_w_m / (ny+1)
	1232
[73]	1233	!
[978]	1234	!-- Save old timelevels for the next timestep
	1235	IF ( intermediate_timestep_count == 1 ) THEN
	1236	u_m_l(:,:,:) = u(:,:,1:2)
	1237	v_m_l(:,:,:) = v(:,:,0:1)
	1238	w_m_l(:,:,:) = w(:,:,0:1)
	1239	ENDIF
	1240
	1241	!
	1242	!-- Calculate the new velocities
[996]	1243	DO k = nzb+1, nzt+1
[1113]	1244	DO j = nysg, nyng
[978]	1245	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1246	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1247
[978]	1248	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1249	( v(k,j,-1) - v(k,j,0) ) * ddx
	1250
[978]	1251	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1252	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1253	ENDDO
[75]	1254	ENDDO
	1255
	1256	!
[978]	1257	!-- Bottom boundary at the outflow
	1258	IF ( ibc_uv_b == 0 ) THEN
[1353]	1259	u_p(nzb,:,0) = 0.0_wp
	1260	v_p(nzb,:,-1) = 0.0_wp
[978]	1261	ELSE
	1262	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1263	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1264	ENDIF
[1353]	1265	w_p(nzb,:,-1) = 0.0_wp
[1]	1266
[75]	1267	!
[978]	1268	!-- Top boundary at the outflow
	1269	IF ( ibc_uv_t == 0 ) THEN
[1764]	1270	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1271	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1272	ELSE
[1764]	1273	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1274	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1275	ENDIF
[1353]	1276	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1277
[75]	1278	ENDIF
[73]	1279
[75]	1280	ENDIF
[73]	1281
[3182]	1282	IF ( bc_radiation_r ) THEN
[73]	1283
[1159]	1284	IF ( use_cmax ) THEN
	1285	u_p(:,:,nx+1) = u(:,:,nx)
	1286	v_p(:,:,nx+1) = v(:,:,nx)
	1287	w_p(:,:,nx+1) = w(:,:,nx)
	1288	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1289
[978]	1290	c_max = dx / dt_3d
[75]	1291
[1353]	1292	c_u_m_l = 0.0_wp
	1293	c_v_m_l = 0.0_wp
	1294	c_w_m_l = 0.0_wp
[978]	1295
[1353]	1296	c_u_m = 0.0_wp
	1297	c_v_m = 0.0_wp
	1298	c_w_m = 0.0_wp
[978]	1299
[1]	1300	!
[996]	1301	!-- Calculate the phase speeds for u, v, and w, first local and then
	1302	!-- average along the outflow boundary.
	1303	DO k = nzb+1, nzt+1
	1304	DO j = nys, nyn
[73]	1305
[106]	1306	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1307
[1353]	1308	IF ( denom /= 0.0_wp ) THEN
[996]	1309	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1310	IF ( c_u(k,j) < 0.0_wp ) THEN
	1311	c_u(k,j) = 0.0_wp
[106]	1312	ELSEIF ( c_u(k,j) > c_max ) THEN
	1313	c_u(k,j) = c_max
	1314	ENDIF
	1315	ELSE
	1316	c_u(k,j) = c_max
[73]	1317	ENDIF
	1318
[106]	1319	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1320
[1353]	1321	IF ( denom /= 0.0_wp ) THEN
[996]	1322	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1323	IF ( c_v(k,j) < 0.0_wp ) THEN
	1324	c_v(k,j) = 0.0_wp
[106]	1325	ELSEIF ( c_v(k,j) > c_max ) THEN
	1326	c_v(k,j) = c_max
	1327	ENDIF
	1328	ELSE
	1329	c_v(k,j) = c_max
[73]	1330	ENDIF
	1331
[106]	1332	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1333
[1353]	1334	IF ( denom /= 0.0_wp ) THEN
[996]	1335	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1336	IF ( c_w(k,j) < 0.0_wp ) THEN
	1337	c_w(k,j) = 0.0_wp
[106]	1338	ELSEIF ( c_w(k,j) > c_max ) THEN
	1339	c_w(k,j) = c_max
	1340	ENDIF
	1341	ELSE
	1342	c_w(k,j) = c_max
[73]	1343	ENDIF
[106]	1344
[978]	1345	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1346	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1347	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1348
[978]	1349	ENDDO
	1350	ENDDO
[73]	1351
[978]	1352	#if defined( __parallel )
	1353	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1354	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1355	MPI_SUM, comm1dy, ierr )
	1356	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1357	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1358	MPI_SUM, comm1dy, ierr )
	1359	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1360	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1361	MPI_SUM, comm1dy, ierr )
	1362	#else
	1363	c_u_m = c_u_m_l
	1364	c_v_m = c_v_m_l
	1365	c_w_m = c_w_m_l
	1366	#endif
	1367
	1368	c_u_m = c_u_m / (ny+1)
	1369	c_v_m = c_v_m / (ny+1)
	1370	c_w_m = c_w_m / (ny+1)
	1371
[73]	1372	!
[978]	1373	!-- Save old timelevels for the next timestep
	1374	IF ( intermediate_timestep_count == 1 ) THEN
	1375	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1376	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1377	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1378	ENDIF
[73]	1379
[978]	1380	!
	1381	!-- Calculate the new velocities
[996]	1382	DO k = nzb+1, nzt+1
[1113]	1383	DO j = nysg, nyng
[978]	1384	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1385	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1386
[978]	1387	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1388	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1389
[978]	1390	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1391	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1392	ENDDO
[73]	1393	ENDDO
	1394
	1395	!
[978]	1396	!-- Bottom boundary at the outflow
	1397	IF ( ibc_uv_b == 0 ) THEN
[1353]	1398	u_p(nzb,:,nx+1) = 0.0_wp
	1399	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1400	ELSE
	1401	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1402	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1403	ENDIF
[1353]	1404	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1405
	1406	!
[978]	1407	!-- Top boundary at the outflow
	1408	IF ( ibc_uv_t == 0 ) THEN
	1409	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1410	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1411	ELSE
	1412	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1413	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1414	ENDIF
[1742]	1415	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1416
[1]	1417	ENDIF
	1418
	1419	ENDIF
[3864]	1420
[3467]	1421	IF ( salsa ) THEN
	1422	CALL salsa_boundary_conds
[3864]	1423	ENDIF
[1]	1424
	1425	END SUBROUTINE boundary_conds

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