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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2319

Last change on this file since 2319 was 2292, checked in by schwenkel, 7 years ago
implementation of new bulk microphysics scheme
Property svn:keywords set to `Id`
File size: 39.1 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 2292 2017-06-20 09:51:42Z suehring $
[2292]	27	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	28	! includes two more prognostic equations for cloud drop concentration (nc)
	29	! and cloud water content (qc).
	30	!
	31	! 2233 2017-05-30 18:08:54Z suehring
[1321]	32	!
[2233]	33	! 2232 2017-05-30 17:47:52Z suehring
	34	! Set boundary conditions on topography top using flag method.
	35	!
[2119]	36	! 2118 2017-01-17 16:38:49Z raasch
	37	! OpenACC directives removed
	38	!
[2001]	39	! 2000 2016-08-20 18:09:15Z knoop
	40	! Forced header and separation lines into 80 columns
	41	!
[1993]	42	! 1992 2016-08-12 15:14:59Z suehring
	43	! Adjustments for top boundary condition for passive scalar
	44	!
[1961]	45	! 1960 2016-07-12 16:34:24Z suehring
	46	! Treat humidity and passive scalar separately
	47	!
[1933]	48	! 1823 2016-04-07 08:57:52Z hoffmann
	49	! Initial version of purely vertical nesting introduced.
	50	!
[1823]	51	! 1822 2016-04-07 07:49:42Z hoffmann
	52	! icloud_scheme removed. microphyisics_seifert added.
	53	!
[1765]	54	! 1764 2016-02-28 12:45:19Z raasch
	55	! index bug for u_p at left outflow removed
	56	!
[1763]	57	! 1762 2016-02-25 12:31:13Z hellstea
	58	! Introduction of nested domain feature
	59	!
[1744]	60	! 1742 2016-01-13 09:50:06Z raasch
	61	! bugfix for outflow Neumann boundary conditions at bottom and top
	62	!
[1718]	63	! 1717 2015-11-11 15:09:47Z raasch
	64	! Bugfix: index error in outflow conditions for left boundary
	65	!
[1683]	66	! 1682 2015-10-07 23:56:08Z knoop
	67	! Code annotations made doxygen readable
	68	!
[1717]	69	! 1410 2014-05-23 12:16:18Z suehring
[1463]	70	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	71	! top
	72	!
[1410]	73	! 1399 2014-05-07 11:16:25Z heinze
	74	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	75	! is used.
	76	!
[1399]	77	! 1398 2014-05-07 11:15:00Z heinze
	78	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	79	! for large_scale_forcing
	80	!
[1381]	81	! 1380 2014-04-28 12:40:45Z heinze
	82	! Adjust Dirichlet-condition at the top for pt in case of nudging
	83	!
[1362]	84	! 1361 2014-04-16 15:17:48Z hoffmann
	85	! Bottom and top boundary conditions of rain water content (qr) and
	86	! rain drop concentration (nr) changed to Dirichlet
	87	!
[1354]	88	! 1353 2014-04-08 15:21:23Z heinze
	89	! REAL constants provided with KIND-attribute
	90	!
[1321]	91	! 1320 2014-03-20 08:40:49Z raasch
[1320]	92	! ONLY-attribute added to USE-statements,
	93	! kind-parameters added to all INTEGER and REAL declaration statements,
	94	! kinds are defined in new module kinds,
	95	! revision history before 2012 removed,
	96	! comment fields (!:) to be used for variable explanations added to
	97	! all variable declaration statements
[1160]	98	!
[1258]	99	! 1257 2013-11-08 15:18:40Z raasch
	100	! loop independent clauses added
	101	!
[1242]	102	! 1241 2013-10-30 11:36:58Z heinze
	103	! Adjust ug and vg at each timestep in case of large_scale_forcing
	104	!
[1160]	105	! 1159 2013-05-21 11:58:22Z fricke
[1159]	106	! Bugfix: Neumann boundary conditions for the velocity components at the
	107	! outflow are in fact radiation boundary conditions using the maximum phase
	108	! velocity that ensures numerical stability (CFL-condition).
	109	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	110	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	111	! u_p, v_p, w_p
[1116]	112	!
	113	! 1115 2013-03-26 18:16:16Z hoffmann
	114	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	115	! boundary-conditions
	116	!
[1114]	117	! 1113 2013-03-10 02:48:14Z raasch
	118	! GPU-porting
	119	! dummy argument "range" removed
	120	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	121	!
[1054]	122	! 1053 2012-11-13 17:11:03Z hoffmann
	123	! boundary conditions for the two new prognostic equations (nr, qr) of the
	124	! two-moment cloud scheme
	125	!
[1037]	126	! 1036 2012-10-22 13:43:42Z raasch
	127	! code put under GPL (PALM 3.9)
	128	!
[997]	129	! 996 2012-09-07 10:41:47Z raasch
	130	! little reformatting
	131	!
[979]	132	! 978 2012-08-09 08:28:32Z fricke
	133	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	134	! Outflow boundary conditions for the velocity components can be set to Neumann
	135	! conditions or to radiation conditions with a horizontal averaged phase
	136	! velocity.
	137	!
[876]	138	! 875 2012-04-02 15:35:15Z gryschka
	139	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	140	!
[1]	141	! Revision 1.1 1997/09/12 06:21:34 raasch
	142	! Initial revision
	143	!
	144	!
	145	! Description:
	146	! ------------
[1682]	147	!> Boundary conditions for the prognostic quantities.
	148	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	149	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	150	!> handled in routine exchange_horiz. Pressure boundary conditions are
	151	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	152	!------------------------------------------------------------------------------!
[1682]	153	SUBROUTINE boundary_conds
	154
[1]	155
[1320]	156	USE arrays_3d, &
	157	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]	158	dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, s_p, sa, &
	159	sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	160	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	161	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[2292]	162
[1320]	163	USE control_parameters, &
[1960]	164	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
[1320]	165	cloud_physics, dt_3d, humidity, &
[1960]	166	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	167	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
	168	inflow_s, intermediate_timestep_count, large_scale_forcing, &
[2292]	169	microphysics_morrison, microphysics_seifert, nest_domain, &
	170	nest_bound_l, nest_bound_s, nudging, ocean, outflow_l, &
	171	outflow_n, outflow_r, outflow_s, passive_scalar, tsc, use_cmax
[1320]	172
	173	USE grid_variables, &
	174	ONLY: ddx, ddy, dx, dy
	175
	176	USE indices, &
	177	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	178	nzb, nzt, wall_flags_0
[1320]	179
	180	USE kinds
	181
[1]	182	USE pegrid
	183
[1933]	184	USE pmc_interface, &
	185	ONLY : nesting_mode
[1320]	186
[2232]	187	USE surface_mod, &
	188	ONLY : bc_h
[1933]	189
[1]	190	IMPLICIT NONE
	191
[2232]	192	INTEGER(iwp) :: i !< grid index x direction
	193	INTEGER(iwp) :: j !< grid index y direction
	194	INTEGER(iwp) :: k !< grid index z direction
	195	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	196	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	197	INTEGER(iwp) :: m !< running index surface elements
[1]	198
[1682]	199	REAL(wp) :: c_max !<
	200	REAL(wp) :: denom !<
[1]	201
[73]	202
[1]	203	!
[1113]	204	!-- Bottom boundary
	205	IF ( ibc_uv_b == 1 ) THEN
	206	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	207	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	208	ENDIF
[2232]	209	!
	210	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	211	!-- of downward-facing surfaces.
	212	DO l = 0, 1
	213	!
	214	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	215	!-- for downward-facing surfaces at topography bottom (k+1).
	216	kb = MERGE( -1, 1, l == 0 )
	217	!$OMP PARALLEL DO PRIVATE( i, j, k )
	218	DO m = 1, bc_h(l)%ns
	219	i = bc_h(l)%i(m)
	220	j = bc_h(l)%j(m)
	221	k = bc_h(l)%k(m)
	222	w_p(k+kb,j,i) = 0.0_wp
[1113]	223	ENDDO
	224	ENDDO
	225
	226	!
[1762]	227	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	228	IF ( ibc_uv_t == 0 ) THEN
	229	u_p(nzt+1,:,:) = u_init(nzt+1)
	230	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	231	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	232	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	233	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	234	ENDIF
	235
[1762]	236	IF ( .NOT. nest_domain ) THEN
	237	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
	238	ENDIF
	239
[1113]	240	!
[2232]	241	!-- Temperature at bottom and top boundary.
[1113]	242	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	243	!-- the sea surface temperature of the coupled ocean model.
[2232]	244	!-- Dirichlet
[1113]	245	IF ( ibc_pt_b == 0 ) THEN
[2232]	246	DO l = 0, 1
	247	!
	248	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	249	!-- for downward-facing surfaces at topography bottom (k+1).
	250	kb = MERGE( -1, 1, l == 0 )
	251	!$OMP PARALLEL DO PRIVATE( i, j, k )
	252	DO m = 1, bc_h(l)%ns
	253	i = bc_h(l)%i(m)
	254	j = bc_h(l)%j(m)
	255	k = bc_h(l)%k(m)
	256	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	257	ENDDO
	258	ENDDO
[2232]	259	!
	260	!-- Neumann, zero-gradient
[1113]	261	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	262	DO l = 0, 1
	263	!
	264	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	265	!-- for downward-facing surfaces at topography bottom (k+1).
	266	kb = MERGE( -1, 1, l == 0 )
	267	!$OMP PARALLEL DO PRIVATE( i, j, k )
	268	DO m = 1, bc_h(l)%ns
	269	i = bc_h(l)%i(m)
	270	j = bc_h(l)%j(m)
	271	k = bc_h(l)%k(m)
	272	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	273	ENDDO
	274	ENDDO
	275	ENDIF
[1]	276
	277	!
[1113]	278	!-- Temperature at top boundary
	279	IF ( ibc_pt_t == 0 ) THEN
	280	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	281	!
	282	!-- In case of nudging adjust top boundary to pt which is
	283	!-- read in from NUDGING-DATA
	284	IF ( nudging ) THEN
	285	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	286	ENDIF
[1113]	287	ELSEIF ( ibc_pt_t == 1 ) THEN
	288	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	289	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	290	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	291	ENDIF
[1]	292
	293	!
[1113]	294	!-- Boundary conditions for TKE
	295	!-- Generally Neumann conditions with de/dz=0 are assumed
	296	IF ( .NOT. constant_diffusion ) THEN
[2232]	297
	298	DO l = 0, 1
	299	!
	300	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	301	!-- for downward-facing surfaces at topography bottom (k+1).
	302	kb = MERGE( -1, 1, l == 0 )
	303	!$OMP PARALLEL DO PRIVATE( i, j, k )
	304	DO m = 1, bc_h(l)%ns
	305	i = bc_h(l)%i(m)
	306	j = bc_h(l)%j(m)
	307	k = bc_h(l)%k(m)
	308	e_p(k+kb,j,i) = e_p(k,j,i)
[73]	309	ENDDO
[1113]	310	ENDDO
[2232]	311
[1762]	312	IF ( .NOT. nest_domain ) THEN
	313	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	314	ENDIF
[1113]	315	ENDIF
	316
	317	!
	318	!-- Boundary conditions for salinity
	319	IF ( ocean ) THEN
	320	!
	321	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	322	!-- given.
	323	DO l = 0, 1
	324	!
	325	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	326	!-- for downward-facing surfaces at topography bottom (k+1).
	327	kb = MERGE( -1, 1, l == 0 )
	328	!$OMP PARALLEL DO PRIVATE( i, j, k )
	329	DO m = 1, bc_h(l)%ns
	330	i = bc_h(l)%i(m)
	331	j = bc_h(l)%j(m)
	332	k = bc_h(l)%k(m)
	333	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	334	ENDDO
[1113]	335	ENDDO
[1]	336	!
[1113]	337	!-- Top boundary: Dirichlet or Neumann
	338	IF ( ibc_sa_t == 0 ) THEN
	339	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	340	ELSEIF ( ibc_sa_t == 1 ) THEN
	341	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	342	ENDIF
	343
[1113]	344	ENDIF
	345
[1]	346	!
[1960]	347	!-- Boundary conditions for total water content,
[1113]	348	!-- bottom and top boundary (see also temperature)
[1960]	349	IF ( humidity ) THEN
[1113]	350	!
	351	!-- Surface conditions for constant_humidity_flux
[2232]	352	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	353	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	354	!-- q_p at k-1
[1113]	355	IF ( ibc_q_b == 0 ) THEN
[2232]	356
	357	DO l = 0, 1
	358	!
	359	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	360	!-- for downward-facing surfaces at topography bottom (k+1).
	361	kb = MERGE( -1, 1, l == 0 )
	362	!$OMP PARALLEL DO PRIVATE( i, j, k )
	363	DO m = 1, bc_h(l)%ns
	364	i = bc_h(l)%i(m)
	365	j = bc_h(l)%j(m)
	366	k = bc_h(l)%k(m)
	367	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	368	ENDDO
	369	ENDDO
[2232]	370
[1113]	371	ELSE
[2232]	372	!$OMP PARALLEL DO PRIVATE( i, j, k )
	373	DO m = 1, bc_h(0)%ns
	374	i = bc_h(0)%i(m)
	375	j = bc_h(0)%j(m)
	376	k = bc_h(0)%k(m)
	377	q_p(k-1,j,i) = q_p(k,j,i)
	378	ENDDO
	379
	380	DO l = 0, 1
	381	!
	382	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	383	!-- for downward-facing surfaces at topography bottom (k+1).
	384	kb = MERGE( -1, 1, l == 0 )
	385	!$OMP PARALLEL DO PRIVATE( i, j, k )
	386	DO m = 1, bc_h(l)%ns
	387	i = bc_h(l)%i(m)
	388	j = bc_h(l)%j(m)
	389	k = bc_h(l)%k(m)
	390	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	391	ENDDO
	392	ENDDO
[1113]	393	ENDIF
[95]	394	!
[1113]	395	!-- Top boundary
[1462]	396	IF ( ibc_q_t == 0 ) THEN
	397	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	398	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	399	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	400	ENDIF
[95]	401
[2292]	402	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	403	!
	404	!-- Surface conditions cloud water (Dirichlet)
	405	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	406	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	407	!-- qr_p and nr_p at k-1
	408	!$OMP PARALLEL DO PRIVATE( i, j, k )
	409	DO m = 1, bc_h(0)%ns
	410	i = bc_h(0)%i(m)
	411	j = bc_h(0)%j(m)
	412	k = bc_h(0)%k(m)
	413	qc_p(k-1,j,i) = 0.0_wp
	414	nc_p(k-1,j,i) = 0.0_wp
	415	ENDDO
	416	!
	417	!-- Top boundary condition for cloud water (Dirichlet)
	418	qc_p(nzt+1,:,:) = 0.0_wp
	419	nc_p(nzt+1,:,:) = 0.0_wp
	420
	421	ENDIF
	422
[1822]	423	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	424	!
[1361]	425	!-- Surface conditions rain water (Dirichlet)
[2232]	426	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	427	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	428	!-- qr_p and nr_p at k-1
	429	!$OMP PARALLEL DO PRIVATE( i, j, k )
	430	DO m = 1, bc_h(0)%ns
	431	i = bc_h(0)%i(m)
	432	j = bc_h(0)%j(m)
	433	k = bc_h(0)%k(m)
	434	qr_p(k-1,j,i) = 0.0_wp
	435	nr_p(k-1,j,i) = 0.0_wp
[1115]	436	ENDDO
[1]	437	!
[1361]	438	!-- Top boundary condition for rain water (Dirichlet)
	439	qr_p(nzt+1,:,:) = 0.0_wp
	440	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	441
[1]	442	ENDIF
[1409]	443	ENDIF
[1]	444	!
[1960]	445	!-- Boundary conditions for scalar,
	446	!-- bottom and top boundary (see also temperature)
	447	IF ( passive_scalar ) THEN
	448	!
	449	!-- Surface conditions for constant_humidity_flux
[2232]	450	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	451	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	452	!-- s_p at k-1
[1960]	453	IF ( ibc_s_b == 0 ) THEN
[2232]	454
	455	DO l = 0, 1
	456	!
	457	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	458	!-- for downward-facing surfaces at topography bottom (k+1).
	459	kb = MERGE( -1, 1, l == 0 )
	460	!$OMP PARALLEL DO PRIVATE( i, j, k )
	461	DO m = 1, bc_h(l)%ns
	462	i = bc_h(l)%i(m)
	463	j = bc_h(l)%j(m)
	464	k = bc_h(l)%k(m)
	465	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	466	ENDDO
	467	ENDDO
[2232]	468
[1960]	469	ELSE
[2232]	470	!$OMP PARALLEL DO PRIVATE( i, j, k )
	471	DO m = 1, bc_h(0)%ns
	472	i = bc_h(0)%i(m)
	473	j = bc_h(0)%j(m)
	474	k = bc_h(0)%k(m)
	475	s_p(k-1,j,i) = s_p(k,j,i)
	476	ENDDO
	477
	478	DO l = 0, 1
	479	!
	480	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	481	!-- for downward-facing surfaces at topography bottom (k+1).
	482	kb = MERGE( -1, 1, l == 0 )
	483	!$OMP PARALLEL DO PRIVATE( i, j, k )
	484	DO m = 1, bc_h(l)%ns
	485	i = bc_h(l)%i(m)
	486	j = bc_h(l)%j(m)
	487	k = bc_h(l)%k(m)
	488	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	489	ENDDO
	490	ENDDO
	491	ENDIF
	492	!
[1992]	493	!-- Top boundary condition
	494	IF ( ibc_s_t == 0 ) THEN
[1960]	495	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	496	ELSEIF ( ibc_s_t == 1 ) THEN
	497	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	498	ELSEIF ( ibc_s_t == 2 ) THEN
	499	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	500	ENDIF
	501
	502	ENDIF
	503	!
[1762]	504	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	505	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	506	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	507	!-- version) these levels are handled as a prognostic level, boundary values
	508	!-- have to be restored here.
[1409]	509	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	510	IF ( inflow_s ) THEN
	511	v_p(:,nys,:) = v_p(:,nys-1,:)
	512	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	513	ELSEIF ( inflow_n ) THEN
	514	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	515	ELSEIF ( inflow_l ) THEN
	516	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	517	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	518	ELSEIF ( inflow_r ) THEN
	519	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	520	ENDIF
[1]	521
	522	!
[1762]	523	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	524	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	525	!-- mode as in that case the lateral boundaries are actually cyclic.
	526	IF ( nesting_mode /= 'vertical' ) THEN
	527	IF ( nest_bound_s ) THEN
	528	v_p(:,nys,:) = v_p(:,nys-1,:)
	529	ENDIF
	530	IF ( nest_bound_l ) THEN
	531	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	532	ENDIF
[1762]	533	ENDIF
	534
	535	!
[1409]	536	!-- Lateral boundary conditions for scalar quantities at the outflow
	537	IF ( outflow_s ) THEN
	538	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	539	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	540	IF ( humidity ) THEN
[1409]	541	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	542	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	543	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	544	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	545	ENDIF
[1822]	546	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	547	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	548	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	549	ENDIF
[1409]	550	ENDIF
[1960]	551	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	552	ELSEIF ( outflow_n ) THEN
	553	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	554	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	555	IF ( humidity ) THEN
[1409]	556	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	557	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	558	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	559	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	560	ENDIF
[1822]	561	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	562	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	563	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	564	ENDIF
[1409]	565	ENDIF
[1960]	566	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	567	ELSEIF ( outflow_l ) THEN
	568	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	569	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	570	IF ( humidity ) THEN
[1409]	571	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	572	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	573	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	574	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	575	ENDIF
[1822]	576	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	577	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	578	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	579	ENDIF
[1409]	580	ENDIF
[1960]	581	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	582	ELSEIF ( outflow_r ) THEN
	583	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	584	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	585	IF ( humidity ) THEN
[1409]	586	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	587	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	588	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	589	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	590	ENDIF
[1822]	591	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	592	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	593	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	594	ENDIF
[1]	595	ENDIF
[1960]	596	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	597	ENDIF
	598
	599	!
[1159]	600	!-- Radiation boundary conditions for the velocities at the respective outflow.
	601	!-- The phase velocity is either assumed to the maximum phase velocity that
	602	!-- ensures numerical stability (CFL-condition) or calculated after
	603	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	604	IF ( outflow_s ) THEN
[75]	605
[1159]	606	IF ( use_cmax ) THEN
	607	u_p(:,-1,:) = u(:,0,:)
	608	v_p(:,0,:) = v(:,1,:)
	609	w_p(:,-1,:) = w(:,0,:)
	610	ELSEIF ( .NOT. use_cmax ) THEN
[75]	611
[978]	612	c_max = dy / dt_3d
[75]	613
[1353]	614	c_u_m_l = 0.0_wp
	615	c_v_m_l = 0.0_wp
	616	c_w_m_l = 0.0_wp
[978]	617
[1353]	618	c_u_m = 0.0_wp
	619	c_v_m = 0.0_wp
	620	c_w_m = 0.0_wp
[978]	621
[75]	622	!
[996]	623	!-- Calculate the phase speeds for u, v, and w, first local and then
	624	!-- average along the outflow boundary.
	625	DO k = nzb+1, nzt+1
	626	DO i = nxl, nxr
[75]	627
[106]	628	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	629
[1353]	630	IF ( denom /= 0.0_wp ) THEN
[996]	631	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	632	IF ( c_u(k,i) < 0.0_wp ) THEN
	633	c_u(k,i) = 0.0_wp
[106]	634	ELSEIF ( c_u(k,i) > c_max ) THEN
	635	c_u(k,i) = c_max
	636	ENDIF
	637	ELSE
	638	c_u(k,i) = c_max
[75]	639	ENDIF
	640
[106]	641	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	642
[1353]	643	IF ( denom /= 0.0_wp ) THEN
[996]	644	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	645	IF ( c_v(k,i) < 0.0_wp ) THEN
	646	c_v(k,i) = 0.0_wp
[106]	647	ELSEIF ( c_v(k,i) > c_max ) THEN
	648	c_v(k,i) = c_max
	649	ENDIF
	650	ELSE
	651	c_v(k,i) = c_max
[75]	652	ENDIF
	653
[106]	654	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	655
[1353]	656	IF ( denom /= 0.0_wp ) THEN
[996]	657	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	658	IF ( c_w(k,i) < 0.0_wp ) THEN
	659	c_w(k,i) = 0.0_wp
[106]	660	ELSEIF ( c_w(k,i) > c_max ) THEN
	661	c_w(k,i) = c_max
	662	ENDIF
	663	ELSE
	664	c_w(k,i) = c_max
[75]	665	ENDIF
[106]	666
[978]	667	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	668	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	669	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	670
[978]	671	ENDDO
	672	ENDDO
[75]	673
[978]	674	#if defined( __parallel )
	675	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	676	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	677	MPI_SUM, comm1dx, ierr )
	678	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	679	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	683	MPI_SUM, comm1dx, ierr )
	684	#else
	685	c_u_m = c_u_m_l
	686	c_v_m = c_v_m_l
	687	c_w_m = c_w_m_l
	688	#endif
	689
	690	c_u_m = c_u_m / (nx+1)
	691	c_v_m = c_v_m / (nx+1)
	692	c_w_m = c_w_m / (nx+1)
	693
[75]	694	!
[978]	695	!-- Save old timelevels for the next timestep
	696	IF ( intermediate_timestep_count == 1 ) THEN
	697	u_m_s(:,:,:) = u(:,0:1,:)
	698	v_m_s(:,:,:) = v(:,1:2,:)
	699	w_m_s(:,:,:) = w(:,0:1,:)
	700	ENDIF
	701
	702	!
	703	!-- Calculate the new velocities
[996]	704	DO k = nzb+1, nzt+1
	705	DO i = nxlg, nxrg
[978]	706	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	707	( u(k,-1,i) - u(k,0,i) ) * ddy
	708
[978]	709	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	710	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	711
[978]	712	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	713	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	714	ENDDO
[75]	715	ENDDO
	716
	717	!
[978]	718	!-- Bottom boundary at the outflow
	719	IF ( ibc_uv_b == 0 ) THEN
[1353]	720	u_p(nzb,-1,:) = 0.0_wp
	721	v_p(nzb,0,:) = 0.0_wp
[978]	722	ELSE
	723	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	724	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	725	ENDIF
[1353]	726	w_p(nzb,-1,:) = 0.0_wp
[73]	727
[75]	728	!
[978]	729	!-- Top boundary at the outflow
	730	IF ( ibc_uv_t == 0 ) THEN
	731	u_p(nzt+1,-1,:) = u_init(nzt+1)
	732	v_p(nzt+1,0,:) = v_init(nzt+1)
	733	ELSE
[1742]	734	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	735	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	736	ENDIF
[1353]	737	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	738
[75]	739	ENDIF
[73]	740
[75]	741	ENDIF
[73]	742
[106]	743	IF ( outflow_n ) THEN
[73]	744
[1159]	745	IF ( use_cmax ) THEN
	746	u_p(:,ny+1,:) = u(:,ny,:)
	747	v_p(:,ny+1,:) = v(:,ny,:)
	748	w_p(:,ny+1,:) = w(:,ny,:)
	749	ELSEIF ( .NOT. use_cmax ) THEN
[75]	750
[978]	751	c_max = dy / dt_3d
[75]	752
[1353]	753	c_u_m_l = 0.0_wp
	754	c_v_m_l = 0.0_wp
	755	c_w_m_l = 0.0_wp
[978]	756
[1353]	757	c_u_m = 0.0_wp
	758	c_v_m = 0.0_wp
	759	c_w_m = 0.0_wp
[978]	760
[1]	761	!
[996]	762	!-- Calculate the phase speeds for u, v, and w, first local and then
	763	!-- average along the outflow boundary.
	764	DO k = nzb+1, nzt+1
	765	DO i = nxl, nxr
[73]	766
[106]	767	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	768
[1353]	769	IF ( denom /= 0.0_wp ) THEN
[996]	770	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	771	IF ( c_u(k,i) < 0.0_wp ) THEN
	772	c_u(k,i) = 0.0_wp
[106]	773	ELSEIF ( c_u(k,i) > c_max ) THEN
	774	c_u(k,i) = c_max
	775	ENDIF
	776	ELSE
	777	c_u(k,i) = c_max
[73]	778	ENDIF
	779
[106]	780	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	781
[1353]	782	IF ( denom /= 0.0_wp ) THEN
[996]	783	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	784	IF ( c_v(k,i) < 0.0_wp ) THEN
	785	c_v(k,i) = 0.0_wp
[106]	786	ELSEIF ( c_v(k,i) > c_max ) THEN
	787	c_v(k,i) = c_max
	788	ENDIF
	789	ELSE
	790	c_v(k,i) = c_max
[73]	791	ENDIF
	792
[106]	793	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	794
[1353]	795	IF ( denom /= 0.0_wp ) THEN
[996]	796	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	797	IF ( c_w(k,i) < 0.0_wp ) THEN
	798	c_w(k,i) = 0.0_wp
[106]	799	ELSEIF ( c_w(k,i) > c_max ) THEN
	800	c_w(k,i) = c_max
	801	ENDIF
	802	ELSE
	803	c_w(k,i) = c_max
[73]	804	ENDIF
[106]	805
[978]	806	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	807	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	808	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	809
[978]	810	ENDDO
	811	ENDDO
[73]	812
[978]	813	#if defined( __parallel )
	814	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	815	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	816	MPI_SUM, comm1dx, ierr )
	817	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	818	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	822	MPI_SUM, comm1dx, ierr )
	823	#else
	824	c_u_m = c_u_m_l
	825	c_v_m = c_v_m_l
	826	c_w_m = c_w_m_l
	827	#endif
	828
	829	c_u_m = c_u_m / (nx+1)
	830	c_v_m = c_v_m / (nx+1)
	831	c_w_m = c_w_m / (nx+1)
	832
[73]	833	!
[978]	834	!-- Save old timelevels for the next timestep
	835	IF ( intermediate_timestep_count == 1 ) THEN
	836	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	837	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	838	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	839	ENDIF
[73]	840
[978]	841	!
	842	!-- Calculate the new velocities
[996]	843	DO k = nzb+1, nzt+1
	844	DO i = nxlg, nxrg
[978]	845	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	846	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	847
[978]	848	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	849	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	850
[978]	851	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	852	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	853	ENDDO
[1]	854	ENDDO
	855
	856	!
[978]	857	!-- Bottom boundary at the outflow
	858	IF ( ibc_uv_b == 0 ) THEN
[1353]	859	u_p(nzb,ny+1,:) = 0.0_wp
	860	v_p(nzb,ny+1,:) = 0.0_wp
[978]	861	ELSE
	862	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	863	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	864	ENDIF
[1353]	865	w_p(nzb,ny+1,:) = 0.0_wp
[73]	866
	867	!
[978]	868	!-- Top boundary at the outflow
	869	IF ( ibc_uv_t == 0 ) THEN
	870	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	871	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	872	ELSE
	873	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	874	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	875	ENDIF
[1353]	876	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	877
[1]	878	ENDIF
	879
[75]	880	ENDIF
	881
[106]	882	IF ( outflow_l ) THEN
[75]	883
[1159]	884	IF ( use_cmax ) THEN
[1717]	885	u_p(:,:,0) = u(:,:,1)
	886	v_p(:,:,-1) = v(:,:,0)
[1159]	887	w_p(:,:,-1) = w(:,:,0)
	888	ELSEIF ( .NOT. use_cmax ) THEN
[75]	889
[978]	890	c_max = dx / dt_3d
[75]	891
[1353]	892	c_u_m_l = 0.0_wp
	893	c_v_m_l = 0.0_wp
	894	c_w_m_l = 0.0_wp
[978]	895
[1353]	896	c_u_m = 0.0_wp
	897	c_v_m = 0.0_wp
	898	c_w_m = 0.0_wp
[978]	899
[1]	900	!
[996]	901	!-- Calculate the phase speeds for u, v, and w, first local and then
	902	!-- average along the outflow boundary.
	903	DO k = nzb+1, nzt+1
	904	DO j = nys, nyn
[75]	905
[106]	906	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	907
[1353]	908	IF ( denom /= 0.0_wp ) THEN
[996]	909	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	910	IF ( c_u(k,j) < 0.0_wp ) THEN
	911	c_u(k,j) = 0.0_wp
[107]	912	ELSEIF ( c_u(k,j) > c_max ) THEN
	913	c_u(k,j) = c_max
[106]	914	ENDIF
	915	ELSE
[107]	916	c_u(k,j) = c_max
[75]	917	ENDIF
	918
[106]	919	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	920
[1353]	921	IF ( denom /= 0.0_wp ) THEN
[996]	922	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	923	IF ( c_v(k,j) < 0.0_wp ) THEN
	924	c_v(k,j) = 0.0_wp
[106]	925	ELSEIF ( c_v(k,j) > c_max ) THEN
	926	c_v(k,j) = c_max
	927	ENDIF
	928	ELSE
	929	c_v(k,j) = c_max
[75]	930	ENDIF
	931
[106]	932	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	933
[1353]	934	IF ( denom /= 0.0_wp ) THEN
[996]	935	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	936	IF ( c_w(k,j) < 0.0_wp ) THEN
	937	c_w(k,j) = 0.0_wp
[106]	938	ELSEIF ( c_w(k,j) > c_max ) THEN
	939	c_w(k,j) = c_max
	940	ENDIF
	941	ELSE
	942	c_w(k,j) = c_max
[75]	943	ENDIF
[106]	944
[978]	945	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	946	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	947	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	948
[978]	949	ENDDO
	950	ENDDO
[75]	951
[978]	952	#if defined( __parallel )
	953	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	954	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	955	MPI_SUM, comm1dy, ierr )
	956	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	957	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	961	MPI_SUM, comm1dy, ierr )
	962	#else
	963	c_u_m = c_u_m_l
	964	c_v_m = c_v_m_l
	965	c_w_m = c_w_m_l
	966	#endif
	967
	968	c_u_m = c_u_m / (ny+1)
	969	c_v_m = c_v_m / (ny+1)
	970	c_w_m = c_w_m / (ny+1)
	971
[73]	972	!
[978]	973	!-- Save old timelevels for the next timestep
	974	IF ( intermediate_timestep_count == 1 ) THEN
	975	u_m_l(:,:,:) = u(:,:,1:2)
	976	v_m_l(:,:,:) = v(:,:,0:1)
	977	w_m_l(:,:,:) = w(:,:,0:1)
	978	ENDIF
	979
	980	!
	981	!-- Calculate the new velocities
[996]	982	DO k = nzb+1, nzt+1
[1113]	983	DO j = nysg, nyng
[978]	984	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	985	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	986
[978]	987	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	988	( v(k,j,-1) - v(k,j,0) ) * ddx
	989
[978]	990	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	991	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	992	ENDDO
[75]	993	ENDDO
	994
	995	!
[978]	996	!-- Bottom boundary at the outflow
	997	IF ( ibc_uv_b == 0 ) THEN
[1353]	998	u_p(nzb,:,0) = 0.0_wp
	999	v_p(nzb,:,-1) = 0.0_wp
[978]	1000	ELSE
	1001	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1002	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1003	ENDIF
[1353]	1004	w_p(nzb,:,-1) = 0.0_wp
[1]	1005
[75]	1006	!
[978]	1007	!-- Top boundary at the outflow
	1008	IF ( ibc_uv_t == 0 ) THEN
[1764]	1009	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1010	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1011	ELSE
[1764]	1012	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1013	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1014	ENDIF
[1353]	1015	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1016
[75]	1017	ENDIF
[73]	1018
[75]	1019	ENDIF
[73]	1020
[106]	1021	IF ( outflow_r ) THEN
[73]	1022
[1159]	1023	IF ( use_cmax ) THEN
	1024	u_p(:,:,nx+1) = u(:,:,nx)
	1025	v_p(:,:,nx+1) = v(:,:,nx)
	1026	w_p(:,:,nx+1) = w(:,:,nx)
	1027	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1028
[978]	1029	c_max = dx / dt_3d
[75]	1030
[1353]	1031	c_u_m_l = 0.0_wp
	1032	c_v_m_l = 0.0_wp
	1033	c_w_m_l = 0.0_wp
[978]	1034
[1353]	1035	c_u_m = 0.0_wp
	1036	c_v_m = 0.0_wp
	1037	c_w_m = 0.0_wp
[978]	1038
[1]	1039	!
[996]	1040	!-- Calculate the phase speeds for u, v, and w, first local and then
	1041	!-- average along the outflow boundary.
	1042	DO k = nzb+1, nzt+1
	1043	DO j = nys, nyn
[73]	1044
[106]	1045	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1046
[1353]	1047	IF ( denom /= 0.0_wp ) THEN
[996]	1048	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1049	IF ( c_u(k,j) < 0.0_wp ) THEN
	1050	c_u(k,j) = 0.0_wp
[106]	1051	ELSEIF ( c_u(k,j) > c_max ) THEN
	1052	c_u(k,j) = c_max
	1053	ENDIF
	1054	ELSE
	1055	c_u(k,j) = c_max
[73]	1056	ENDIF
	1057
[106]	1058	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1059
[1353]	1060	IF ( denom /= 0.0_wp ) THEN
[996]	1061	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1062	IF ( c_v(k,j) < 0.0_wp ) THEN
	1063	c_v(k,j) = 0.0_wp
[106]	1064	ELSEIF ( c_v(k,j) > c_max ) THEN
	1065	c_v(k,j) = c_max
	1066	ENDIF
	1067	ELSE
	1068	c_v(k,j) = c_max
[73]	1069	ENDIF
	1070
[106]	1071	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1072
[1353]	1073	IF ( denom /= 0.0_wp ) THEN
[996]	1074	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1075	IF ( c_w(k,j) < 0.0_wp ) THEN
	1076	c_w(k,j) = 0.0_wp
[106]	1077	ELSEIF ( c_w(k,j) > c_max ) THEN
	1078	c_w(k,j) = c_max
	1079	ENDIF
	1080	ELSE
	1081	c_w(k,j) = c_max
[73]	1082	ENDIF
[106]	1083
[978]	1084	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1085	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1086	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1087
[978]	1088	ENDDO
	1089	ENDDO
[73]	1090
[978]	1091	#if defined( __parallel )
	1092	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1093	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1094	MPI_SUM, comm1dy, ierr )
	1095	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1096	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1100	MPI_SUM, comm1dy, ierr )
	1101	#else
	1102	c_u_m = c_u_m_l
	1103	c_v_m = c_v_m_l
	1104	c_w_m = c_w_m_l
	1105	#endif
	1106
	1107	c_u_m = c_u_m / (ny+1)
	1108	c_v_m = c_v_m / (ny+1)
	1109	c_w_m = c_w_m / (ny+1)
	1110
[73]	1111	!
[978]	1112	!-- Save old timelevels for the next timestep
	1113	IF ( intermediate_timestep_count == 1 ) THEN
	1114	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1115	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1116	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1117	ENDIF
[73]	1118
[978]	1119	!
	1120	!-- Calculate the new velocities
[996]	1121	DO k = nzb+1, nzt+1
[1113]	1122	DO j = nysg, nyng
[978]	1123	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1124	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1125
[978]	1126	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1127	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1128
[978]	1129	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1130	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1131	ENDDO
[73]	1132	ENDDO
	1133
	1134	!
[978]	1135	!-- Bottom boundary at the outflow
	1136	IF ( ibc_uv_b == 0 ) THEN
[1353]	1137	u_p(nzb,:,nx+1) = 0.0_wp
	1138	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1139	ELSE
	1140	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1141	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1142	ENDIF
[1353]	1143	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1144
	1145	!
[978]	1146	!-- Top boundary at the outflow
	1147	IF ( ibc_uv_t == 0 ) THEN
	1148	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1149	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1150	ELSE
	1151	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1152	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1153	ENDIF
[1742]	1154	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1155
[1]	1156	ENDIF
	1157
	1158	ENDIF
	1159
	1160	END SUBROUTINE boundary_conds

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