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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2716

Last change on this file since 2716 was 2716, checked in by kanani, 6 years ago
Correction of "Former revisions" section
Property svn:keywords set to `Id`
File size: 40.6 KB

Rev	Line
[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	!
[2101]	17	! Copyright 1997-2017 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1933]	22	!
[2233]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 2716 2017-12-29 16:35:59Z kanani $
[2716]	27	! Corrected "Former revisions" section
	28	!
	29	! 2696 2017-12-14 17:12:51Z kanani
	30	! Change in file header (GPL part)
[2696]	31	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	32	! Implementation of chemistry module (FK)
	33	!
	34	! 2569 2017-10-20 11:54:42Z kanani
[2569]	35	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	36	!
	37	! 2365 2017-08-21 14:59:59Z kanani
[2365]	38	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	39	! on fine grid (SadiqHuq)
	40	!
	41	! 2320 2017-07-21 12:47:43Z suehring
[2320]	42	! Remove unused control parameter large_scale_forcing from only-list
	43	!
	44	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	45	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	46	! includes two more prognostic equations for cloud drop concentration (nc)
	47	! and cloud water content (qc).
	48	!
	49	! 2233 2017-05-30 18:08:54Z suehring
[1321]	50	!
[2233]	51	! 2232 2017-05-30 17:47:52Z suehring
	52	! Set boundary conditions on topography top using flag method.
	53	!
[2119]	54	! 2118 2017-01-17 16:38:49Z raasch
	55	! OpenACC directives removed
	56	!
[2001]	57	! 2000 2016-08-20 18:09:15Z knoop
	58	! Forced header and separation lines into 80 columns
	59	!
[1993]	60	! 1992 2016-08-12 15:14:59Z suehring
	61	! Adjustments for top boundary condition for passive scalar
	62	!
[1961]	63	! 1960 2016-07-12 16:34:24Z suehring
	64	! Treat humidity and passive scalar separately
	65	!
[1933]	66	! 1823 2016-04-07 08:57:52Z hoffmann
	67	! Initial version of purely vertical nesting introduced.
	68	!
[1823]	69	! 1822 2016-04-07 07:49:42Z hoffmann
	70	! icloud_scheme removed. microphyisics_seifert added.
	71	!
[1765]	72	! 1764 2016-02-28 12:45:19Z raasch
	73	! index bug for u_p at left outflow removed
	74	!
[1763]	75	! 1762 2016-02-25 12:31:13Z hellstea
	76	! Introduction of nested domain feature
	77	!
[1744]	78	! 1742 2016-01-13 09:50:06Z raasch
	79	! bugfix for outflow Neumann boundary conditions at bottom and top
	80	!
[1718]	81	! 1717 2015-11-11 15:09:47Z raasch
	82	! Bugfix: index error in outflow conditions for left boundary
	83	!
[1683]	84	! 1682 2015-10-07 23:56:08Z knoop
	85	! Code annotations made doxygen readable
	86	!
[1717]	87	! 1410 2014-05-23 12:16:18Z suehring
[1463]	88	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	89	! top
	90	!
[1410]	91	! 1399 2014-05-07 11:16:25Z heinze
	92	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	93	! is used.
	94	!
[1399]	95	! 1398 2014-05-07 11:15:00Z heinze
	96	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	97	! for large_scale_forcing
	98	!
[1381]	99	! 1380 2014-04-28 12:40:45Z heinze
	100	! Adjust Dirichlet-condition at the top for pt in case of nudging
	101	!
[1362]	102	! 1361 2014-04-16 15:17:48Z hoffmann
	103	! Bottom and top boundary conditions of rain water content (qr) and
	104	! rain drop concentration (nr) changed to Dirichlet
	105	!
[1354]	106	! 1353 2014-04-08 15:21:23Z heinze
	107	! REAL constants provided with KIND-attribute
	108	!
[1321]	109	! 1320 2014-03-20 08:40:49Z raasch
[1320]	110	! ONLY-attribute added to USE-statements,
	111	! kind-parameters added to all INTEGER and REAL declaration statements,
	112	! kinds are defined in new module kinds,
	113	! revision history before 2012 removed,
	114	! comment fields (!:) to be used for variable explanations added to
	115	! all variable declaration statements
[1160]	116	!
[1258]	117	! 1257 2013-11-08 15:18:40Z raasch
	118	! loop independent clauses added
	119	!
[1242]	120	! 1241 2013-10-30 11:36:58Z heinze
	121	! Adjust ug and vg at each timestep in case of large_scale_forcing
	122	!
[1160]	123	! 1159 2013-05-21 11:58:22Z fricke
[1159]	124	! Bugfix: Neumann boundary conditions for the velocity components at the
	125	! outflow are in fact radiation boundary conditions using the maximum phase
	126	! velocity that ensures numerical stability (CFL-condition).
	127	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	128	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	129	! u_p, v_p, w_p
[1116]	130	!
	131	! 1115 2013-03-26 18:16:16Z hoffmann
	132	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	133	! boundary-conditions
	134	!
[1114]	135	! 1113 2013-03-10 02:48:14Z raasch
	136	! GPU-porting
	137	! dummy argument "range" removed
	138	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	139	!
[1054]	140	! 1053 2012-11-13 17:11:03Z hoffmann
	141	! boundary conditions for the two new prognostic equations (nr, qr) of the
	142	! two-moment cloud scheme
	143	!
[1037]	144	! 1036 2012-10-22 13:43:42Z raasch
	145	! code put under GPL (PALM 3.9)
	146	!
[997]	147	! 996 2012-09-07 10:41:47Z raasch
	148	! little reformatting
	149	!
[979]	150	! 978 2012-08-09 08:28:32Z fricke
	151	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	152	! Outflow boundary conditions for the velocity components can be set to Neumann
	153	! conditions or to radiation conditions with a horizontal averaged phase
	154	! velocity.
	155	!
[876]	156	! 875 2012-04-02 15:35:15Z gryschka
	157	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	158	!
[1]	159	! Revision 1.1 1997/09/12 06:21:34 raasch
	160	! Initial revision
	161	!
	162	!
	163	! Description:
	164	! ------------
[1682]	165	!> Boundary conditions for the prognostic quantities.
	166	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	167	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	168	!> handled in routine exchange_horiz. Pressure boundary conditions are
	169	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	170	!------------------------------------------------------------------------------!
[1682]	171	SUBROUTINE boundary_conds
	172
[1]	173
[1320]	174	USE arrays_3d, &
	175	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, &
[2696]	176	diss_p, dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, &
	177	s_p, sa, sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	178	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	179	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[2696]	180
	181	#if defined( __chem )
	182	USE chemistry_model_mod, &
	183	ONLY: chem_boundary_conds
	184	#endif
	185
[1320]	186	USE control_parameters, &
[2696]	187	ONLY: air_chemistry, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
	188	constant_diffusion, cloud_physics, coupling_mode, dt_3d, &
	189	force_bound_l, force_bound_s, forcing, humidity, &
[1960]	190	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	191	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
[2320]	192	inflow_s, intermediate_timestep_count, &
[2292]	193	microphysics_morrison, microphysics_seifert, nest_domain, &
	194	nest_bound_l, nest_bound_s, nudging, ocean, outflow_l, &
[2696]	195	outflow_n, outflow_r, outflow_s, passive_scalar, rans_tke_e, &
	196	tsc, use_cmax
[1320]	197
	198	USE grid_variables, &
	199	ONLY: ddx, ddy, dx, dy
	200
	201	USE indices, &
	202	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	203	nzb, nzt, wall_flags_0
[1320]	204
	205	USE kinds
	206
[1]	207	USE pegrid
	208
[1933]	209	USE pmc_interface, &
	210	ONLY : nesting_mode
[1320]	211
[2232]	212	USE surface_mod, &
	213	ONLY : bc_h
[1933]	214
[1]	215	IMPLICIT NONE
	216
[2232]	217	INTEGER(iwp) :: i !< grid index x direction
	218	INTEGER(iwp) :: j !< grid index y direction
	219	INTEGER(iwp) :: k !< grid index z direction
	220	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	221	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	222	INTEGER(iwp) :: m !< running index surface elements
[1]	223
[1682]	224	REAL(wp) :: c_max !<
	225	REAL(wp) :: denom !<
[1]	226
[73]	227
[1]	228	!
[1113]	229	!-- Bottom boundary
	230	IF ( ibc_uv_b == 1 ) THEN
	231	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	232	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	233	ENDIF
[2232]	234	!
	235	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	236	!-- of downward-facing surfaces.
	237	DO l = 0, 1
	238	!
	239	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	240	!-- for downward-facing surfaces at topography bottom (k+1).
	241	kb = MERGE( -1, 1, l == 0 )
	242	!$OMP PARALLEL DO PRIVATE( i, j, k )
	243	DO m = 1, bc_h(l)%ns
	244	i = bc_h(l)%i(m)
	245	j = bc_h(l)%j(m)
	246	k = bc_h(l)%k(m)
	247	w_p(k+kb,j,i) = 0.0_wp
[1113]	248	ENDDO
	249	ENDDO
	250
	251	!
[1762]	252	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	253	IF ( ibc_uv_t == 0 ) THEN
	254	u_p(nzt+1,:,:) = u_init(nzt+1)
	255	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	256	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	257	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	258	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	259	ENDIF
	260
[2365]	261	!
	262	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
	263	IF ( .NOT. nest_domain .AND. &
	264	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	265	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	266	ENDIF
	267
[1113]	268	!
[2232]	269	!-- Temperature at bottom and top boundary.
[1113]	270	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	271	!-- the sea surface temperature of the coupled ocean model.
[2232]	272	!-- Dirichlet
[1113]	273	IF ( ibc_pt_b == 0 ) THEN
[2232]	274	DO l = 0, 1
	275	!
	276	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	277	!-- for downward-facing surfaces at topography bottom (k+1).
	278	kb = MERGE( -1, 1, l == 0 )
	279	!$OMP PARALLEL DO PRIVATE( i, j, k )
	280	DO m = 1, bc_h(l)%ns
	281	i = bc_h(l)%i(m)
	282	j = bc_h(l)%j(m)
	283	k = bc_h(l)%k(m)
	284	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	285	ENDDO
	286	ENDDO
[2232]	287	!
	288	!-- Neumann, zero-gradient
[1113]	289	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	290	DO l = 0, 1
	291	!
	292	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	293	!-- for downward-facing surfaces at topography bottom (k+1).
	294	kb = MERGE( -1, 1, l == 0 )
	295	!$OMP PARALLEL DO PRIVATE( i, j, k )
	296	DO m = 1, bc_h(l)%ns
	297	i = bc_h(l)%i(m)
	298	j = bc_h(l)%j(m)
	299	k = bc_h(l)%k(m)
	300	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	301	ENDDO
	302	ENDDO
	303	ENDIF
[1]	304
	305	!
[1113]	306	!-- Temperature at top boundary
	307	IF ( ibc_pt_t == 0 ) THEN
	308	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	309	!
	310	!-- In case of nudging adjust top boundary to pt which is
	311	!-- read in from NUDGING-DATA
	312	IF ( nudging ) THEN
	313	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	314	ENDIF
[1113]	315	ELSEIF ( ibc_pt_t == 1 ) THEN
	316	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	317	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	318	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	319	ENDIF
[1]	320
	321	!
[1113]	322	!-- Boundary conditions for TKE
	323	!-- Generally Neumann conditions with de/dz=0 are assumed
	324	IF ( .NOT. constant_diffusion ) THEN
[2232]	325
[2696]	326	IF ( .NOT. rans_tke_e ) THEN
	327	DO l = 0, 1
[2232]	328	!
[2696]	329	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	330	!-- for downward-facing surfaces at topography bottom (k+1).
	331	kb = MERGE( -1, 1, l == 0 )
	332	!$OMP PARALLEL DO PRIVATE( i, j, k )
	333	DO m = 1, bc_h(l)%ns
	334	i = bc_h(l)%i(m)
	335	j = bc_h(l)%j(m)
	336	k = bc_h(l)%k(m)
	337	e_p(k+kb,j,i) = e_p(k,j,i)
	338	ENDDO
[73]	339	ENDDO
[2696]	340	ENDIF
[2232]	341
[1762]	342	IF ( .NOT. nest_domain ) THEN
	343	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	344	ENDIF
[1113]	345	ENDIF
	346
	347	!
[2696]	348	!-- Boundary conditions for TKE dissipation rate
	349	IF ( rans_tke_e .AND. .NOT. nest_domain ) THEN
	350	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	351	ENDIF
	352
	353	!
[1113]	354	!-- Boundary conditions for salinity
	355	IF ( ocean ) THEN
	356	!
	357	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	358	!-- given.
	359	DO l = 0, 1
	360	!
	361	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	362	!-- for downward-facing surfaces at topography bottom (k+1).
	363	kb = MERGE( -1, 1, l == 0 )
	364	!$OMP PARALLEL DO PRIVATE( i, j, k )
	365	DO m = 1, bc_h(l)%ns
	366	i = bc_h(l)%i(m)
	367	j = bc_h(l)%j(m)
	368	k = bc_h(l)%k(m)
	369	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	370	ENDDO
[1113]	371	ENDDO
[1]	372	!
[1113]	373	!-- Top boundary: Dirichlet or Neumann
	374	IF ( ibc_sa_t == 0 ) THEN
	375	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	376	ELSEIF ( ibc_sa_t == 1 ) THEN
	377	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	378	ENDIF
	379
[1113]	380	ENDIF
	381
[1]	382	!
[1960]	383	!-- Boundary conditions for total water content,
[1113]	384	!-- bottom and top boundary (see also temperature)
[1960]	385	IF ( humidity ) THEN
[1113]	386	!
	387	!-- Surface conditions for constant_humidity_flux
[2232]	388	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	389	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	390	!-- q_p at k-1
[1113]	391	IF ( ibc_q_b == 0 ) THEN
[2232]	392
	393	DO l = 0, 1
	394	!
	395	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	396	!-- for downward-facing surfaces at topography bottom (k+1).
	397	kb = MERGE( -1, 1, l == 0 )
	398	!$OMP PARALLEL DO PRIVATE( i, j, k )
	399	DO m = 1, bc_h(l)%ns
	400	i = bc_h(l)%i(m)
	401	j = bc_h(l)%j(m)
	402	k = bc_h(l)%k(m)
	403	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	404	ENDDO
	405	ENDDO
[2232]	406
[1113]	407	ELSE
[2232]	408
	409	DO l = 0, 1
	410	!
	411	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	412	!-- for downward-facing surfaces at topography bottom (k+1).
	413	kb = MERGE( -1, 1, l == 0 )
	414	!$OMP PARALLEL DO PRIVATE( i, j, k )
	415	DO m = 1, bc_h(l)%ns
	416	i = bc_h(l)%i(m)
	417	j = bc_h(l)%j(m)
	418	k = bc_h(l)%k(m)
	419	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	420	ENDDO
	421	ENDDO
[1113]	422	ENDIF
[95]	423	!
[1113]	424	!-- Top boundary
[1462]	425	IF ( ibc_q_t == 0 ) THEN
	426	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	427	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	428	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	429	ENDIF
[95]	430
[2292]	431	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	432	!
	433	!-- Surface conditions cloud water (Dirichlet)
	434	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	435	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	436	!-- qr_p and nr_p at k-1
	437	!$OMP PARALLEL DO PRIVATE( i, j, k )
	438	DO m = 1, bc_h(0)%ns
	439	i = bc_h(0)%i(m)
	440	j = bc_h(0)%j(m)
	441	k = bc_h(0)%k(m)
	442	qc_p(k-1,j,i) = 0.0_wp
	443	nc_p(k-1,j,i) = 0.0_wp
	444	ENDDO
	445	!
	446	!-- Top boundary condition for cloud water (Dirichlet)
	447	qc_p(nzt+1,:,:) = 0.0_wp
	448	nc_p(nzt+1,:,:) = 0.0_wp
	449
	450	ENDIF
	451
[1822]	452	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	453	!
[1361]	454	!-- Surface conditions rain water (Dirichlet)
[2232]	455	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	456	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	457	!-- qr_p and nr_p at k-1
	458	!$OMP PARALLEL DO PRIVATE( i, j, k )
	459	DO m = 1, bc_h(0)%ns
	460	i = bc_h(0)%i(m)
	461	j = bc_h(0)%j(m)
	462	k = bc_h(0)%k(m)
	463	qr_p(k-1,j,i) = 0.0_wp
	464	nr_p(k-1,j,i) = 0.0_wp
[1115]	465	ENDDO
[1]	466	!
[1361]	467	!-- Top boundary condition for rain water (Dirichlet)
	468	qr_p(nzt+1,:,:) = 0.0_wp
	469	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	470
[1]	471	ENDIF
[1409]	472	ENDIF
[1]	473	!
[1960]	474	!-- Boundary conditions for scalar,
	475	!-- bottom and top boundary (see also temperature)
	476	IF ( passive_scalar ) THEN
	477	!
	478	!-- Surface conditions for constant_humidity_flux
[2232]	479	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	480	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	481	!-- s_p at k-1
[1960]	482	IF ( ibc_s_b == 0 ) THEN
[2232]	483
	484	DO l = 0, 1
	485	!
	486	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	487	!-- for downward-facing surfaces at topography bottom (k+1).
	488	kb = MERGE( -1, 1, l == 0 )
	489	!$OMP PARALLEL DO PRIVATE( i, j, k )
	490	DO m = 1, bc_h(l)%ns
	491	i = bc_h(l)%i(m)
	492	j = bc_h(l)%j(m)
	493	k = bc_h(l)%k(m)
	494	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	495	ENDDO
	496	ENDDO
[2232]	497
[1960]	498	ELSE
[2232]	499
	500	DO l = 0, 1
	501	!
	502	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	503	!-- for downward-facing surfaces at topography bottom (k+1).
	504	kb = MERGE( -1, 1, l == 0 )
	505	!$OMP PARALLEL DO PRIVATE( i, j, k )
	506	DO m = 1, bc_h(l)%ns
	507	i = bc_h(l)%i(m)
	508	j = bc_h(l)%j(m)
	509	k = bc_h(l)%k(m)
	510	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	511	ENDDO
	512	ENDDO
	513	ENDIF
	514	!
[1992]	515	!-- Top boundary condition
	516	IF ( ibc_s_t == 0 ) THEN
[1960]	517	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	518	ELSEIF ( ibc_s_t == 1 ) THEN
	519	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	520	ELSEIF ( ibc_s_t == 2 ) THEN
	521	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	522	ENDIF
	523
	524	ENDIF
	525	!
[2696]	526	!-- Top/bottom boundary conditions for chemical species
	527	#if defined( __chem )
	528	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	529	#endif
	530	!
[1762]	531	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	532	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	533	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	534	!-- version) these levels are handled as a prognostic level, boundary values
	535	!-- have to be restored here.
[1409]	536	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	537	IF ( inflow_s ) THEN
	538	v_p(:,nys,:) = v_p(:,nys-1,:)
	539	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	540	ELSEIF ( inflow_n ) THEN
	541	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	542	ELSEIF ( inflow_l ) THEN
	543	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	544	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	545	ELSEIF ( inflow_r ) THEN
	546	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	547	ENDIF
[1]	548
	549	!
[1762]	550	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	551	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	552	!-- mode as in that case the lateral boundaries are actually cyclic.
[2696]	553	IF ( nesting_mode /= 'vertical' .OR. forcing ) THEN
	554	IF ( nest_bound_s .OR. force_bound_s ) THEN
[1933]	555	v_p(:,nys,:) = v_p(:,nys-1,:)
	556	ENDIF
[2696]	557	IF ( nest_bound_l .OR. force_bound_l ) THEN
[1933]	558	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	559	ENDIF
[1762]	560	ENDIF
	561
	562	!
[1409]	563	!-- Lateral boundary conditions for scalar quantities at the outflow
	564	IF ( outflow_s ) THEN
	565	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	566	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	567	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	568	IF ( humidity ) THEN
[1409]	569	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	570	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	571	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	572	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	573	ENDIF
[1822]	574	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	575	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	576	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	577	ENDIF
[1409]	578	ENDIF
[1960]	579	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	580	ELSEIF ( outflow_n ) THEN
	581	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	582	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	583	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	584	IF ( humidity ) THEN
[1409]	585	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	586	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	587	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	588	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	589	ENDIF
[1822]	590	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	591	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	592	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	593	ENDIF
[1409]	594	ENDIF
[1960]	595	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	596	ELSEIF ( outflow_l ) THEN
	597	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	598	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	599	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	600	IF ( humidity ) THEN
[1409]	601	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	602	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	603	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	604	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	605	ENDIF
[1822]	606	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	607	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	608	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	609	ENDIF
[1409]	610	ENDIF
[1960]	611	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	612	ELSEIF ( outflow_r ) THEN
	613	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	614	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	615	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	616	IF ( humidity ) THEN
[1409]	617	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	618	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	619	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	620	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	621	ENDIF
[1822]	622	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	623	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	624	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	625	ENDIF
[1]	626	ENDIF
[1960]	627	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	628	ENDIF
	629
	630	!
[2696]	631	!-- Lateral boundary conditions for chemical species
	632	#if defined( __chem )
	633	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	634	#endif
	635
	636
	637	!
[1159]	638	!-- Radiation boundary conditions for the velocities at the respective outflow.
	639	!-- The phase velocity is either assumed to the maximum phase velocity that
	640	!-- ensures numerical stability (CFL-condition) or calculated after
	641	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	642	IF ( outflow_s ) THEN
[75]	643
[1159]	644	IF ( use_cmax ) THEN
	645	u_p(:,-1,:) = u(:,0,:)
	646	v_p(:,0,:) = v(:,1,:)
	647	w_p(:,-1,:) = w(:,0,:)
	648	ELSEIF ( .NOT. use_cmax ) THEN
[75]	649
[978]	650	c_max = dy / dt_3d
[75]	651
[1353]	652	c_u_m_l = 0.0_wp
	653	c_v_m_l = 0.0_wp
	654	c_w_m_l = 0.0_wp
[978]	655
[1353]	656	c_u_m = 0.0_wp
	657	c_v_m = 0.0_wp
	658	c_w_m = 0.0_wp
[978]	659
[75]	660	!
[996]	661	!-- Calculate the phase speeds for u, v, and w, first local and then
	662	!-- average along the outflow boundary.
	663	DO k = nzb+1, nzt+1
	664	DO i = nxl, nxr
[75]	665
[106]	666	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	667
[1353]	668	IF ( denom /= 0.0_wp ) THEN
[996]	669	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	670	IF ( c_u(k,i) < 0.0_wp ) THEN
	671	c_u(k,i) = 0.0_wp
[106]	672	ELSEIF ( c_u(k,i) > c_max ) THEN
	673	c_u(k,i) = c_max
	674	ENDIF
	675	ELSE
	676	c_u(k,i) = c_max
[75]	677	ENDIF
	678
[106]	679	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	680
[1353]	681	IF ( denom /= 0.0_wp ) THEN
[996]	682	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	683	IF ( c_v(k,i) < 0.0_wp ) THEN
	684	c_v(k,i) = 0.0_wp
[106]	685	ELSEIF ( c_v(k,i) > c_max ) THEN
	686	c_v(k,i) = c_max
	687	ENDIF
	688	ELSE
	689	c_v(k,i) = c_max
[75]	690	ENDIF
	691
[106]	692	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	693
[1353]	694	IF ( denom /= 0.0_wp ) THEN
[996]	695	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	696	IF ( c_w(k,i) < 0.0_wp ) THEN
	697	c_w(k,i) = 0.0_wp
[106]	698	ELSEIF ( c_w(k,i) > c_max ) THEN
	699	c_w(k,i) = c_max
	700	ENDIF
	701	ELSE
	702	c_w(k,i) = c_max
[75]	703	ENDIF
[106]	704
[978]	705	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	706	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	707	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	708
[978]	709	ENDDO
	710	ENDDO
[75]	711
[978]	712	#if defined( __parallel )
	713	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	714	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	715	MPI_SUM, comm1dx, ierr )
	716	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	717	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	718	MPI_SUM, comm1dx, ierr )
	719	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	720	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	721	MPI_SUM, comm1dx, ierr )
	722	#else
	723	c_u_m = c_u_m_l
	724	c_v_m = c_v_m_l
	725	c_w_m = c_w_m_l
	726	#endif
	727
	728	c_u_m = c_u_m / (nx+1)
	729	c_v_m = c_v_m / (nx+1)
	730	c_w_m = c_w_m / (nx+1)
	731
[75]	732	!
[978]	733	!-- Save old timelevels for the next timestep
	734	IF ( intermediate_timestep_count == 1 ) THEN
	735	u_m_s(:,:,:) = u(:,0:1,:)
	736	v_m_s(:,:,:) = v(:,1:2,:)
	737	w_m_s(:,:,:) = w(:,0:1,:)
	738	ENDIF
	739
	740	!
	741	!-- Calculate the new velocities
[996]	742	DO k = nzb+1, nzt+1
	743	DO i = nxlg, nxrg
[978]	744	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	745	( u(k,-1,i) - u(k,0,i) ) * ddy
	746
[978]	747	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	748	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	749
[978]	750	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	751	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	752	ENDDO
[75]	753	ENDDO
	754
	755	!
[978]	756	!-- Bottom boundary at the outflow
	757	IF ( ibc_uv_b == 0 ) THEN
[1353]	758	u_p(nzb,-1,:) = 0.0_wp
	759	v_p(nzb,0,:) = 0.0_wp
[978]	760	ELSE
	761	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	762	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	763	ENDIF
[1353]	764	w_p(nzb,-1,:) = 0.0_wp
[73]	765
[75]	766	!
[978]	767	!-- Top boundary at the outflow
	768	IF ( ibc_uv_t == 0 ) THEN
	769	u_p(nzt+1,-1,:) = u_init(nzt+1)
	770	v_p(nzt+1,0,:) = v_init(nzt+1)
	771	ELSE
[1742]	772	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	773	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	774	ENDIF
[1353]	775	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	776
[75]	777	ENDIF
[73]	778
[75]	779	ENDIF
[73]	780
[106]	781	IF ( outflow_n ) THEN
[73]	782
[1159]	783	IF ( use_cmax ) THEN
	784	u_p(:,ny+1,:) = u(:,ny,:)
	785	v_p(:,ny+1,:) = v(:,ny,:)
	786	w_p(:,ny+1,:) = w(:,ny,:)
	787	ELSEIF ( .NOT. use_cmax ) THEN
[75]	788
[978]	789	c_max = dy / dt_3d
[75]	790
[1353]	791	c_u_m_l = 0.0_wp
	792	c_v_m_l = 0.0_wp
	793	c_w_m_l = 0.0_wp
[978]	794
[1353]	795	c_u_m = 0.0_wp
	796	c_v_m = 0.0_wp
	797	c_w_m = 0.0_wp
[978]	798
[1]	799	!
[996]	800	!-- Calculate the phase speeds for u, v, and w, first local and then
	801	!-- average along the outflow boundary.
	802	DO k = nzb+1, nzt+1
	803	DO i = nxl, nxr
[73]	804
[106]	805	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	806
[1353]	807	IF ( denom /= 0.0_wp ) THEN
[996]	808	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	809	IF ( c_u(k,i) < 0.0_wp ) THEN
	810	c_u(k,i) = 0.0_wp
[106]	811	ELSEIF ( c_u(k,i) > c_max ) THEN
	812	c_u(k,i) = c_max
	813	ENDIF
	814	ELSE
	815	c_u(k,i) = c_max
[73]	816	ENDIF
	817
[106]	818	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	819
[1353]	820	IF ( denom /= 0.0_wp ) THEN
[996]	821	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	822	IF ( c_v(k,i) < 0.0_wp ) THEN
	823	c_v(k,i) = 0.0_wp
[106]	824	ELSEIF ( c_v(k,i) > c_max ) THEN
	825	c_v(k,i) = c_max
	826	ENDIF
	827	ELSE
	828	c_v(k,i) = c_max
[73]	829	ENDIF
	830
[106]	831	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	832
[1353]	833	IF ( denom /= 0.0_wp ) THEN
[996]	834	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	835	IF ( c_w(k,i) < 0.0_wp ) THEN
	836	c_w(k,i) = 0.0_wp
[106]	837	ELSEIF ( c_w(k,i) > c_max ) THEN
	838	c_w(k,i) = c_max
	839	ENDIF
	840	ELSE
	841	c_w(k,i) = c_max
[73]	842	ENDIF
[106]	843
[978]	844	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	845	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	846	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	847
[978]	848	ENDDO
	849	ENDDO
[73]	850
[978]	851	#if defined( __parallel )
	852	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	853	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	854	MPI_SUM, comm1dx, ierr )
	855	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	856	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	857	MPI_SUM, comm1dx, ierr )
	858	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	859	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	860	MPI_SUM, comm1dx, ierr )
	861	#else
	862	c_u_m = c_u_m_l
	863	c_v_m = c_v_m_l
	864	c_w_m = c_w_m_l
	865	#endif
	866
	867	c_u_m = c_u_m / (nx+1)
	868	c_v_m = c_v_m / (nx+1)
	869	c_w_m = c_w_m / (nx+1)
	870
[73]	871	!
[978]	872	!-- Save old timelevels for the next timestep
	873	IF ( intermediate_timestep_count == 1 ) THEN
	874	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	875	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	876	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	877	ENDIF
[73]	878
[978]	879	!
	880	!-- Calculate the new velocities
[996]	881	DO k = nzb+1, nzt+1
	882	DO i = nxlg, nxrg
[978]	883	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	884	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	885
[978]	886	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	887	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	888
[978]	889	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	890	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	891	ENDDO
[1]	892	ENDDO
	893
	894	!
[978]	895	!-- Bottom boundary at the outflow
	896	IF ( ibc_uv_b == 0 ) THEN
[1353]	897	u_p(nzb,ny+1,:) = 0.0_wp
	898	v_p(nzb,ny+1,:) = 0.0_wp
[978]	899	ELSE
	900	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	901	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	902	ENDIF
[1353]	903	w_p(nzb,ny+1,:) = 0.0_wp
[73]	904
	905	!
[978]	906	!-- Top boundary at the outflow
	907	IF ( ibc_uv_t == 0 ) THEN
	908	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	909	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	910	ELSE
	911	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	912	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	913	ENDIF
[1353]	914	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	915
[1]	916	ENDIF
	917
[75]	918	ENDIF
	919
[106]	920	IF ( outflow_l ) THEN
[75]	921
[1159]	922	IF ( use_cmax ) THEN
[1717]	923	u_p(:,:,0) = u(:,:,1)
	924	v_p(:,:,-1) = v(:,:,0)
[1159]	925	w_p(:,:,-1) = w(:,:,0)
	926	ELSEIF ( .NOT. use_cmax ) THEN
[75]	927
[978]	928	c_max = dx / dt_3d
[75]	929
[1353]	930	c_u_m_l = 0.0_wp
	931	c_v_m_l = 0.0_wp
	932	c_w_m_l = 0.0_wp
[978]	933
[1353]	934	c_u_m = 0.0_wp
	935	c_v_m = 0.0_wp
	936	c_w_m = 0.0_wp
[978]	937
[1]	938	!
[996]	939	!-- Calculate the phase speeds for u, v, and w, first local and then
	940	!-- average along the outflow boundary.
	941	DO k = nzb+1, nzt+1
	942	DO j = nys, nyn
[75]	943
[106]	944	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	945
[1353]	946	IF ( denom /= 0.0_wp ) THEN
[996]	947	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	948	IF ( c_u(k,j) < 0.0_wp ) THEN
	949	c_u(k,j) = 0.0_wp
[107]	950	ELSEIF ( c_u(k,j) > c_max ) THEN
	951	c_u(k,j) = c_max
[106]	952	ENDIF
	953	ELSE
[107]	954	c_u(k,j) = c_max
[75]	955	ENDIF
	956
[106]	957	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	958
[1353]	959	IF ( denom /= 0.0_wp ) THEN
[996]	960	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	961	IF ( c_v(k,j) < 0.0_wp ) THEN
	962	c_v(k,j) = 0.0_wp
[106]	963	ELSEIF ( c_v(k,j) > c_max ) THEN
	964	c_v(k,j) = c_max
	965	ENDIF
	966	ELSE
	967	c_v(k,j) = c_max
[75]	968	ENDIF
	969
[106]	970	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	971
[1353]	972	IF ( denom /= 0.0_wp ) THEN
[996]	973	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	974	IF ( c_w(k,j) < 0.0_wp ) THEN
	975	c_w(k,j) = 0.0_wp
[106]	976	ELSEIF ( c_w(k,j) > c_max ) THEN
	977	c_w(k,j) = c_max
	978	ENDIF
	979	ELSE
	980	c_w(k,j) = c_max
[75]	981	ENDIF
[106]	982
[978]	983	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	984	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	985	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	986
[978]	987	ENDDO
	988	ENDDO
[75]	989
[978]	990	#if defined( __parallel )
	991	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	992	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	993	MPI_SUM, comm1dy, ierr )
	994	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	995	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	996	MPI_SUM, comm1dy, ierr )
	997	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	998	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	999	MPI_SUM, comm1dy, ierr )
	1000	#else
	1001	c_u_m = c_u_m_l
	1002	c_v_m = c_v_m_l
	1003	c_w_m = c_w_m_l
	1004	#endif
	1005
	1006	c_u_m = c_u_m / (ny+1)
	1007	c_v_m = c_v_m / (ny+1)
	1008	c_w_m = c_w_m / (ny+1)
	1009
[73]	1010	!
[978]	1011	!-- Save old timelevels for the next timestep
	1012	IF ( intermediate_timestep_count == 1 ) THEN
	1013	u_m_l(:,:,:) = u(:,:,1:2)
	1014	v_m_l(:,:,:) = v(:,:,0:1)
	1015	w_m_l(:,:,:) = w(:,:,0:1)
	1016	ENDIF
	1017
	1018	!
	1019	!-- Calculate the new velocities
[996]	1020	DO k = nzb+1, nzt+1
[1113]	1021	DO j = nysg, nyng
[978]	1022	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1023	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1024
[978]	1025	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1026	( v(k,j,-1) - v(k,j,0) ) * ddx
	1027
[978]	1028	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1029	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1030	ENDDO
[75]	1031	ENDDO
	1032
	1033	!
[978]	1034	!-- Bottom boundary at the outflow
	1035	IF ( ibc_uv_b == 0 ) THEN
[1353]	1036	u_p(nzb,:,0) = 0.0_wp
	1037	v_p(nzb,:,-1) = 0.0_wp
[978]	1038	ELSE
	1039	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1040	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1041	ENDIF
[1353]	1042	w_p(nzb,:,-1) = 0.0_wp
[1]	1043
[75]	1044	!
[978]	1045	!-- Top boundary at the outflow
	1046	IF ( ibc_uv_t == 0 ) THEN
[1764]	1047	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1048	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1049	ELSE
[1764]	1050	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1051	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1052	ENDIF
[1353]	1053	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1054
[75]	1055	ENDIF
[73]	1056
[75]	1057	ENDIF
[73]	1058
[106]	1059	IF ( outflow_r ) THEN
[73]	1060
[1159]	1061	IF ( use_cmax ) THEN
	1062	u_p(:,:,nx+1) = u(:,:,nx)
	1063	v_p(:,:,nx+1) = v(:,:,nx)
	1064	w_p(:,:,nx+1) = w(:,:,nx)
	1065	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1066
[978]	1067	c_max = dx / dt_3d
[75]	1068
[1353]	1069	c_u_m_l = 0.0_wp
	1070	c_v_m_l = 0.0_wp
	1071	c_w_m_l = 0.0_wp
[978]	1072
[1353]	1073	c_u_m = 0.0_wp
	1074	c_v_m = 0.0_wp
	1075	c_w_m = 0.0_wp
[978]	1076
[1]	1077	!
[996]	1078	!-- Calculate the phase speeds for u, v, and w, first local and then
	1079	!-- average along the outflow boundary.
	1080	DO k = nzb+1, nzt+1
	1081	DO j = nys, nyn
[73]	1082
[106]	1083	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1084
[1353]	1085	IF ( denom /= 0.0_wp ) THEN
[996]	1086	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1087	IF ( c_u(k,j) < 0.0_wp ) THEN
	1088	c_u(k,j) = 0.0_wp
[106]	1089	ELSEIF ( c_u(k,j) > c_max ) THEN
	1090	c_u(k,j) = c_max
	1091	ENDIF
	1092	ELSE
	1093	c_u(k,j) = c_max
[73]	1094	ENDIF
	1095
[106]	1096	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1097
[1353]	1098	IF ( denom /= 0.0_wp ) THEN
[996]	1099	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1100	IF ( c_v(k,j) < 0.0_wp ) THEN
	1101	c_v(k,j) = 0.0_wp
[106]	1102	ELSEIF ( c_v(k,j) > c_max ) THEN
	1103	c_v(k,j) = c_max
	1104	ENDIF
	1105	ELSE
	1106	c_v(k,j) = c_max
[73]	1107	ENDIF
	1108
[106]	1109	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1110
[1353]	1111	IF ( denom /= 0.0_wp ) THEN
[996]	1112	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1113	IF ( c_w(k,j) < 0.0_wp ) THEN
	1114	c_w(k,j) = 0.0_wp
[106]	1115	ELSEIF ( c_w(k,j) > c_max ) THEN
	1116	c_w(k,j) = c_max
	1117	ENDIF
	1118	ELSE
	1119	c_w(k,j) = c_max
[73]	1120	ENDIF
[106]	1121
[978]	1122	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1123	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1124	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1125
[978]	1126	ENDDO
	1127	ENDDO
[73]	1128
[978]	1129	#if defined( __parallel )
	1130	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1131	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1132	MPI_SUM, comm1dy, ierr )
	1133	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1134	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1135	MPI_SUM, comm1dy, ierr )
	1136	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1137	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1138	MPI_SUM, comm1dy, ierr )
	1139	#else
	1140	c_u_m = c_u_m_l
	1141	c_v_m = c_v_m_l
	1142	c_w_m = c_w_m_l
	1143	#endif
	1144
	1145	c_u_m = c_u_m / (ny+1)
	1146	c_v_m = c_v_m / (ny+1)
	1147	c_w_m = c_w_m / (ny+1)
	1148
[73]	1149	!
[978]	1150	!-- Save old timelevels for the next timestep
	1151	IF ( intermediate_timestep_count == 1 ) THEN
	1152	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1153	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1154	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1155	ENDIF
[73]	1156
[978]	1157	!
	1158	!-- Calculate the new velocities
[996]	1159	DO k = nzb+1, nzt+1
[1113]	1160	DO j = nysg, nyng
[978]	1161	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1162	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1163
[978]	1164	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1165	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1166
[978]	1167	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1168	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1169	ENDDO
[73]	1170	ENDDO
	1171
	1172	!
[978]	1173	!-- Bottom boundary at the outflow
	1174	IF ( ibc_uv_b == 0 ) THEN
[1353]	1175	u_p(nzb,:,nx+1) = 0.0_wp
	1176	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1177	ELSE
	1178	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1179	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1180	ENDIF
[1353]	1181	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1182
	1183	!
[978]	1184	!-- Top boundary at the outflow
	1185	IF ( ibc_uv_t == 0 ) THEN
	1186	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1187	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1188	ELSE
	1189	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1190	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1191	ENDIF
[1742]	1192	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1193
[1]	1194	ENDIF
	1195
	1196	ENDIF
	1197
	1198	END SUBROUTINE boundary_conds

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