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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2322

Last change on this file since 2322 was 2320, checked in by suehring, 7 years ago
large-scale forcing and nudging modularized
Property svn:keywords set to `Id`
File size: 39.3 KB

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

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