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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2943

Last change on this file since 2943 was 2938, checked in by suehring, 7 years ago
Nesting in RANS-LES and RANS-RANS mode enabled; synthetic turbulence generator at all lateral boundaries in nesting or non-cyclic forcing mode; revised Inifor initialization in nesting mode
Property svn:keywords set to `Id`
File size: 41.5 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	!
[2718]	17	! Copyright 1997-2018 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 2938 2018-03-27 15:52:42Z suehring $
[2938]	27	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	28	! and if parent model operates in RANS mode but child model in LES mode.
	29	! mode
	30	!
	31	! 2793 2018-02-07 10:54:33Z suehring
[2766]	32	! Removed preprocessor directive __chem
	33	!
	34	! 2718 2018-01-02 08:49:38Z maronga
[2716]	35	! Corrected "Former revisions" section
	36	!
	37	! 2696 2017-12-14 17:12:51Z kanani
	38	! Change in file header (GPL part)
[2696]	39	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	40	! Implementation of chemistry module (FK)
	41	!
	42	! 2569 2017-10-20 11:54:42Z kanani
[2569]	43	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	44	!
	45	! 2365 2017-08-21 14:59:59Z kanani
[2365]	46	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	47	! on fine grid (SadiqHuq)
	48	!
	49	! 2320 2017-07-21 12:47:43Z suehring
[2320]	50	! Remove unused control parameter large_scale_forcing from only-list
	51	!
	52	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	53	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	54	! includes two more prognostic equations for cloud drop concentration (nc)
	55	! and cloud water content (qc).
	56	!
	57	! 2233 2017-05-30 18:08:54Z suehring
[1321]	58	!
[2233]	59	! 2232 2017-05-30 17:47:52Z suehring
	60	! Set boundary conditions on topography top using flag method.
	61	!
[2119]	62	! 2118 2017-01-17 16:38:49Z raasch
	63	! OpenACC directives removed
	64	!
[2001]	65	! 2000 2016-08-20 18:09:15Z knoop
	66	! Forced header and separation lines into 80 columns
	67	!
[1993]	68	! 1992 2016-08-12 15:14:59Z suehring
	69	! Adjustments for top boundary condition for passive scalar
	70	!
[1961]	71	! 1960 2016-07-12 16:34:24Z suehring
	72	! Treat humidity and passive scalar separately
	73	!
[1933]	74	! 1823 2016-04-07 08:57:52Z hoffmann
	75	! Initial version of purely vertical nesting introduced.
	76	!
[1823]	77	! 1822 2016-04-07 07:49:42Z hoffmann
	78	! icloud_scheme removed. microphyisics_seifert added.
	79	!
[1765]	80	! 1764 2016-02-28 12:45:19Z raasch
	81	! index bug for u_p at left outflow removed
	82	!
[1763]	83	! 1762 2016-02-25 12:31:13Z hellstea
	84	! Introduction of nested domain feature
	85	!
[1744]	86	! 1742 2016-01-13 09:50:06Z raasch
	87	! bugfix for outflow Neumann boundary conditions at bottom and top
	88	!
[1718]	89	! 1717 2015-11-11 15:09:47Z raasch
	90	! Bugfix: index error in outflow conditions for left boundary
	91	!
[1683]	92	! 1682 2015-10-07 23:56:08Z knoop
	93	! Code annotations made doxygen readable
	94	!
[1717]	95	! 1410 2014-05-23 12:16:18Z suehring
[1463]	96	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	97	! top
	98	!
[1410]	99	! 1399 2014-05-07 11:16:25Z heinze
	100	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	101	! is used.
	102	!
[1399]	103	! 1398 2014-05-07 11:15:00Z heinze
	104	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	105	! for large_scale_forcing
	106	!
[1381]	107	! 1380 2014-04-28 12:40:45Z heinze
	108	! Adjust Dirichlet-condition at the top for pt in case of nudging
	109	!
[1362]	110	! 1361 2014-04-16 15:17:48Z hoffmann
	111	! Bottom and top boundary conditions of rain water content (qr) and
	112	! rain drop concentration (nr) changed to Dirichlet
	113	!
[1354]	114	! 1353 2014-04-08 15:21:23Z heinze
	115	! REAL constants provided with KIND-attribute
	116	!
[1321]	117	! 1320 2014-03-20 08:40:49Z raasch
[1320]	118	! ONLY-attribute added to USE-statements,
	119	! kind-parameters added to all INTEGER and REAL declaration statements,
	120	! kinds are defined in new module kinds,
	121	! revision history before 2012 removed,
	122	! comment fields (!:) to be used for variable explanations added to
	123	! all variable declaration statements
[1160]	124	!
[1258]	125	! 1257 2013-11-08 15:18:40Z raasch
	126	! loop independent clauses added
	127	!
[1242]	128	! 1241 2013-10-30 11:36:58Z heinze
	129	! Adjust ug and vg at each timestep in case of large_scale_forcing
	130	!
[1160]	131	! 1159 2013-05-21 11:58:22Z fricke
[1159]	132	! Bugfix: Neumann boundary conditions for the velocity components at the
	133	! outflow are in fact radiation boundary conditions using the maximum phase
	134	! velocity that ensures numerical stability (CFL-condition).
	135	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	136	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	137	! u_p, v_p, w_p
[1116]	138	!
	139	! 1115 2013-03-26 18:16:16Z hoffmann
	140	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	141	! boundary-conditions
	142	!
[1114]	143	! 1113 2013-03-10 02:48:14Z raasch
	144	! GPU-porting
	145	! dummy argument "range" removed
	146	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	147	!
[1054]	148	! 1053 2012-11-13 17:11:03Z hoffmann
	149	! boundary conditions for the two new prognostic equations (nr, qr) of the
	150	! two-moment cloud scheme
	151	!
[1037]	152	! 1036 2012-10-22 13:43:42Z raasch
	153	! code put under GPL (PALM 3.9)
	154	!
[997]	155	! 996 2012-09-07 10:41:47Z raasch
	156	! little reformatting
	157	!
[979]	158	! 978 2012-08-09 08:28:32Z fricke
	159	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	160	! Outflow boundary conditions for the velocity components can be set to Neumann
	161	! conditions or to radiation conditions with a horizontal averaged phase
	162	! velocity.
	163	!
[876]	164	! 875 2012-04-02 15:35:15Z gryschka
	165	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	166	!
[1]	167	! Revision 1.1 1997/09/12 06:21:34 raasch
	168	! Initial revision
	169	!
	170	!
	171	! Description:
	172	! ------------
[1682]	173	!> Boundary conditions for the prognostic quantities.
	174	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	175	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	176	!> handled in routine exchange_horiz. Pressure boundary conditions are
	177	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	178	!------------------------------------------------------------------------------!
[1682]	179	SUBROUTINE boundary_conds
	180
[1]	181
[1320]	182	USE arrays_3d, &
	183	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]	184	diss_p, dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, &
	185	s_p, sa, sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	186	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	187	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[2696]	188
	189	USE chemistry_model_mod, &
	190	ONLY: chem_boundary_conds
	191
[1320]	192	USE control_parameters, &
[2696]	193	ONLY: air_chemistry, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
	194	constant_diffusion, cloud_physics, coupling_mode, dt_3d, &
	195	force_bound_l, force_bound_s, forcing, humidity, &
[1960]	196	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	197	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
[2320]	198	inflow_s, intermediate_timestep_count, &
[2292]	199	microphysics_morrison, microphysics_seifert, nest_domain, &
[2938]	200	nest_bound_l, nest_bound_n, nest_bound_r, nest_bound_s, nudging,&
	201	ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
	202	passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
[1320]	203
	204	USE grid_variables, &
	205	ONLY: ddx, ddy, dx, dy
	206
	207	USE indices, &
	208	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	209	nzb, nzt, wall_flags_0
[1320]	210
	211	USE kinds
	212
[1]	213	USE pegrid
	214
[1933]	215	USE pmc_interface, &
[2938]	216	ONLY : nesting_mode, rans_mode_parent
[1320]	217
[2232]	218	USE surface_mod, &
	219	ONLY : bc_h
[1933]	220
[1]	221	IMPLICIT NONE
	222
[2232]	223	INTEGER(iwp) :: i !< grid index x direction
	224	INTEGER(iwp) :: j !< grid index y direction
	225	INTEGER(iwp) :: k !< grid index z direction
	226	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	227	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	228	INTEGER(iwp) :: m !< running index surface elements
[1]	229
[1682]	230	REAL(wp) :: c_max !<
	231	REAL(wp) :: denom !<
[1]	232
[73]	233
[1]	234	!
[1113]	235	!-- Bottom boundary
	236	IF ( ibc_uv_b == 1 ) THEN
	237	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	238	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	239	ENDIF
[2232]	240	!
	241	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	242	!-- of downward-facing surfaces.
	243	DO l = 0, 1
	244	!
	245	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	246	!-- for downward-facing surfaces at topography bottom (k+1).
	247	kb = MERGE( -1, 1, l == 0 )
	248	!$OMP PARALLEL DO PRIVATE( i, j, k )
	249	DO m = 1, bc_h(l)%ns
	250	i = bc_h(l)%i(m)
	251	j = bc_h(l)%j(m)
	252	k = bc_h(l)%k(m)
	253	w_p(k+kb,j,i) = 0.0_wp
[1113]	254	ENDDO
	255	ENDDO
	256
	257	!
[1762]	258	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	259	IF ( ibc_uv_t == 0 ) THEN
	260	u_p(nzt+1,:,:) = u_init(nzt+1)
	261	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	262	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	263	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	264	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	265	ENDIF
	266
[2365]	267	!
	268	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
	269	IF ( .NOT. nest_domain .AND. &
	270	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	271	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	272	ENDIF
	273
[1113]	274	!
[2232]	275	!-- Temperature at bottom and top boundary.
[1113]	276	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	277	!-- the sea surface temperature of the coupled ocean model.
[2232]	278	!-- Dirichlet
[1113]	279	IF ( ibc_pt_b == 0 ) THEN
[2232]	280	DO l = 0, 1
	281	!
	282	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	283	!-- for downward-facing surfaces at topography bottom (k+1).
	284	kb = MERGE( -1, 1, l == 0 )
	285	!$OMP PARALLEL DO PRIVATE( i, j, k )
	286	DO m = 1, bc_h(l)%ns
	287	i = bc_h(l)%i(m)
	288	j = bc_h(l)%j(m)
	289	k = bc_h(l)%k(m)
	290	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	291	ENDDO
	292	ENDDO
[2232]	293	!
	294	!-- Neumann, zero-gradient
[1113]	295	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	296	DO l = 0, 1
	297	!
	298	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	299	!-- for downward-facing surfaces at topography bottom (k+1).
	300	kb = MERGE( -1, 1, l == 0 )
	301	!$OMP PARALLEL DO PRIVATE( i, j, k )
	302	DO m = 1, bc_h(l)%ns
	303	i = bc_h(l)%i(m)
	304	j = bc_h(l)%j(m)
	305	k = bc_h(l)%k(m)
	306	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	307	ENDDO
	308	ENDDO
	309	ENDIF
[1]	310
	311	!
[1113]	312	!-- Temperature at top boundary
	313	IF ( ibc_pt_t == 0 ) THEN
	314	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	315	!
	316	!-- In case of nudging adjust top boundary to pt which is
	317	!-- read in from NUDGING-DATA
	318	IF ( nudging ) THEN
	319	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	320	ENDIF
[1113]	321	ELSEIF ( ibc_pt_t == 1 ) THEN
	322	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	323	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	324	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	325	ENDIF
[1]	326
	327	!
[2938]	328	!-- Boundary conditions for TKE.
	329	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	330	IF ( .NOT. constant_diffusion ) THEN
[2232]	331
[2696]	332	IF ( .NOT. rans_tke_e ) THEN
	333	DO l = 0, 1
[2232]	334	!
[2696]	335	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	336	!-- for downward-facing surfaces at topography bottom (k+1).
	337	kb = MERGE( -1, 1, l == 0 )
	338	!$OMP PARALLEL DO PRIVATE( i, j, k )
	339	DO m = 1, bc_h(l)%ns
	340	i = bc_h(l)%i(m)
	341	j = bc_h(l)%j(m)
	342	k = bc_h(l)%k(m)
	343	e_p(k+kb,j,i) = e_p(k,j,i)
	344	ENDDO
[73]	345	ENDDO
[2696]	346	ENDIF
[2232]	347
[1762]	348	IF ( .NOT. nest_domain ) THEN
	349	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[2938]	350	!
	351	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	352	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	353	!-- top child boundaries.
	354	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	355	!-- is treated in the nesting.
	356	ELSE
	357
	358	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	359
	360
	361
	362	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	363	IF ( nest_bound_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	364	IF ( nest_bound_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	365	IF ( nest_bound_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	366	IF ( nest_bound_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	367
	368	ENDIF
[1762]	369	ENDIF
[1113]	370	ENDIF
	371
	372	!
[2938]	373	!-- Boundary conditions for TKE dissipation rate.
[2696]	374	IF ( rans_tke_e .AND. .NOT. nest_domain ) THEN
	375	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	376	ENDIF
	377
	378	!
[1113]	379	!-- Boundary conditions for salinity
	380	IF ( ocean ) THEN
	381	!
	382	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	383	!-- given.
	384	DO l = 0, 1
	385	!
	386	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	387	!-- for downward-facing surfaces at topography bottom (k+1).
	388	kb = MERGE( -1, 1, l == 0 )
	389	!$OMP PARALLEL DO PRIVATE( i, j, k )
	390	DO m = 1, bc_h(l)%ns
	391	i = bc_h(l)%i(m)
	392	j = bc_h(l)%j(m)
	393	k = bc_h(l)%k(m)
	394	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	395	ENDDO
[1113]	396	ENDDO
[1]	397	!
[1113]	398	!-- Top boundary: Dirichlet or Neumann
	399	IF ( ibc_sa_t == 0 ) THEN
	400	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	401	ELSEIF ( ibc_sa_t == 1 ) THEN
	402	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	403	ENDIF
	404
[1113]	405	ENDIF
	406
[1]	407	!
[1960]	408	!-- Boundary conditions for total water content,
[1113]	409	!-- bottom and top boundary (see also temperature)
[1960]	410	IF ( humidity ) THEN
[1113]	411	!
	412	!-- Surface conditions for constant_humidity_flux
[2232]	413	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	414	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	415	!-- q_p at k-1
[1113]	416	IF ( ibc_q_b == 0 ) THEN
[2232]	417
	418	DO l = 0, 1
	419	!
	420	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	421	!-- for downward-facing surfaces at topography bottom (k+1).
	422	kb = MERGE( -1, 1, l == 0 )
	423	!$OMP PARALLEL DO PRIVATE( i, j, k )
	424	DO m = 1, bc_h(l)%ns
	425	i = bc_h(l)%i(m)
	426	j = bc_h(l)%j(m)
	427	k = bc_h(l)%k(m)
	428	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	429	ENDDO
	430	ENDDO
[2232]	431
[1113]	432	ELSE
[2232]	433
	434	DO l = 0, 1
	435	!
	436	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	437	!-- for downward-facing surfaces at topography bottom (k+1).
	438	kb = MERGE( -1, 1, l == 0 )
	439	!$OMP PARALLEL DO PRIVATE( i, j, k )
	440	DO m = 1, bc_h(l)%ns
	441	i = bc_h(l)%i(m)
	442	j = bc_h(l)%j(m)
	443	k = bc_h(l)%k(m)
	444	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	445	ENDDO
	446	ENDDO
[1113]	447	ENDIF
[95]	448	!
[1113]	449	!-- Top boundary
[1462]	450	IF ( ibc_q_t == 0 ) THEN
	451	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	452	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	453	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	454	ENDIF
[95]	455
[2292]	456	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	457	!
	458	!-- Surface conditions cloud water (Dirichlet)
	459	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	460	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	461	!-- qr_p and nr_p at k-1
	462	!$OMP PARALLEL DO PRIVATE( i, j, k )
	463	DO m = 1, bc_h(0)%ns
	464	i = bc_h(0)%i(m)
	465	j = bc_h(0)%j(m)
	466	k = bc_h(0)%k(m)
	467	qc_p(k-1,j,i) = 0.0_wp
	468	nc_p(k-1,j,i) = 0.0_wp
	469	ENDDO
	470	!
	471	!-- Top boundary condition for cloud water (Dirichlet)
	472	qc_p(nzt+1,:,:) = 0.0_wp
	473	nc_p(nzt+1,:,:) = 0.0_wp
	474
	475	ENDIF
	476
[1822]	477	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	478	!
[1361]	479	!-- Surface conditions rain water (Dirichlet)
[2232]	480	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	481	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	482	!-- qr_p and nr_p at k-1
	483	!$OMP PARALLEL DO PRIVATE( i, j, k )
	484	DO m = 1, bc_h(0)%ns
	485	i = bc_h(0)%i(m)
	486	j = bc_h(0)%j(m)
	487	k = bc_h(0)%k(m)
	488	qr_p(k-1,j,i) = 0.0_wp
	489	nr_p(k-1,j,i) = 0.0_wp
[1115]	490	ENDDO
[1]	491	!
[1361]	492	!-- Top boundary condition for rain water (Dirichlet)
	493	qr_p(nzt+1,:,:) = 0.0_wp
	494	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	495
[1]	496	ENDIF
[1409]	497	ENDIF
[1]	498	!
[1960]	499	!-- Boundary conditions for scalar,
	500	!-- bottom and top boundary (see also temperature)
	501	IF ( passive_scalar ) THEN
	502	!
	503	!-- Surface conditions for constant_humidity_flux
[2232]	504	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	505	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	506	!-- s_p at k-1
[1960]	507	IF ( ibc_s_b == 0 ) THEN
[2232]	508
	509	DO l = 0, 1
	510	!
	511	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	512	!-- for downward-facing surfaces at topography bottom (k+1).
	513	kb = MERGE( -1, 1, l == 0 )
	514	!$OMP PARALLEL DO PRIVATE( i, j, k )
	515	DO m = 1, bc_h(l)%ns
	516	i = bc_h(l)%i(m)
	517	j = bc_h(l)%j(m)
	518	k = bc_h(l)%k(m)
	519	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	520	ENDDO
	521	ENDDO
[2232]	522
[1960]	523	ELSE
[2232]	524
	525	DO l = 0, 1
	526	!
	527	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	528	!-- for downward-facing surfaces at topography bottom (k+1).
	529	kb = MERGE( -1, 1, l == 0 )
	530	!$OMP PARALLEL DO PRIVATE( i, j, k )
	531	DO m = 1, bc_h(l)%ns
	532	i = bc_h(l)%i(m)
	533	j = bc_h(l)%j(m)
	534	k = bc_h(l)%k(m)
	535	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	536	ENDDO
	537	ENDDO
	538	ENDIF
	539	!
[1992]	540	!-- Top boundary condition
	541	IF ( ibc_s_t == 0 ) THEN
[1960]	542	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	543	ELSEIF ( ibc_s_t == 1 ) THEN
	544	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	545	ELSEIF ( ibc_s_t == 2 ) THEN
	546	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	547	ENDIF
	548
	549	ENDIF
	550	!
[2696]	551	!-- Top/bottom boundary conditions for chemical species
	552	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	553	!
[1762]	554	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	555	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	556	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	557	!-- version) these levels are handled as a prognostic level, boundary values
	558	!-- have to be restored here.
[1409]	559	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	560	IF ( inflow_s ) THEN
	561	v_p(:,nys,:) = v_p(:,nys-1,:)
	562	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	563	ELSEIF ( inflow_n ) THEN
	564	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	565	ELSEIF ( inflow_l ) THEN
	566	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	567	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	568	ELSEIF ( inflow_r ) THEN
	569	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	570	ENDIF
[1]	571
	572	!
[1762]	573	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	574	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	575	!-- mode as in that case the lateral boundaries are actually cyclic.
[2696]	576	IF ( nesting_mode /= 'vertical' .OR. forcing ) THEN
	577	IF ( nest_bound_s .OR. force_bound_s ) THEN
[1933]	578	v_p(:,nys,:) = v_p(:,nys-1,:)
	579	ENDIF
[2696]	580	IF ( nest_bound_l .OR. force_bound_l ) THEN
[1933]	581	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	582	ENDIF
[1762]	583	ENDIF
	584
	585	!
[1409]	586	!-- Lateral boundary conditions for scalar quantities at the outflow
	587	IF ( outflow_s ) THEN
	588	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	589	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	590	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	591	IF ( humidity ) THEN
[1409]	592	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	593	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	594	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	595	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	596	ENDIF
[1822]	597	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	598	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	599	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	600	ENDIF
[1409]	601	ENDIF
[1960]	602	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	603	ELSEIF ( outflow_n ) THEN
	604	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	605	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	606	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	607	IF ( humidity ) THEN
[1409]	608	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	609	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	610	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	611	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	612	ENDIF
[1822]	613	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	614	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	615	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	616	ENDIF
[1409]	617	ENDIF
[1960]	618	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	619	ELSEIF ( outflow_l ) THEN
	620	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	621	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	622	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	623	IF ( humidity ) THEN
[1409]	624	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	625	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	626	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	627	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	628	ENDIF
[1822]	629	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	630	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	631	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	632	ENDIF
[1409]	633	ENDIF
[1960]	634	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	635	ELSEIF ( outflow_r ) THEN
	636	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	637	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	638	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	639	IF ( humidity ) THEN
[1409]	640	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	641	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	642	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	643	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	644	ENDIF
[1822]	645	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	646	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	647	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	648	ENDIF
[1]	649	ENDIF
[1960]	650	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	651	ENDIF
	652
	653	!
[2696]	654	!-- Lateral boundary conditions for chemical species
	655	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	656
	657	!
[1159]	658	!-- Radiation boundary conditions for the velocities at the respective outflow.
	659	!-- The phase velocity is either assumed to the maximum phase velocity that
	660	!-- ensures numerical stability (CFL-condition) or calculated after
	661	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	662	IF ( outflow_s ) THEN
[75]	663
[1159]	664	IF ( use_cmax ) THEN
	665	u_p(:,-1,:) = u(:,0,:)
	666	v_p(:,0,:) = v(:,1,:)
	667	w_p(:,-1,:) = w(:,0,:)
	668	ELSEIF ( .NOT. use_cmax ) THEN
[75]	669
[978]	670	c_max = dy / dt_3d
[75]	671
[1353]	672	c_u_m_l = 0.0_wp
	673	c_v_m_l = 0.0_wp
	674	c_w_m_l = 0.0_wp
[978]	675
[1353]	676	c_u_m = 0.0_wp
	677	c_v_m = 0.0_wp
	678	c_w_m = 0.0_wp
[978]	679
[75]	680	!
[996]	681	!-- Calculate the phase speeds for u, v, and w, first local and then
	682	!-- average along the outflow boundary.
	683	DO k = nzb+1, nzt+1
	684	DO i = nxl, nxr
[75]	685
[106]	686	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	687
[1353]	688	IF ( denom /= 0.0_wp ) THEN
[996]	689	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	690	IF ( c_u(k,i) < 0.0_wp ) THEN
	691	c_u(k,i) = 0.0_wp
[106]	692	ELSEIF ( c_u(k,i) > c_max ) THEN
	693	c_u(k,i) = c_max
	694	ENDIF
	695	ELSE
	696	c_u(k,i) = c_max
[75]	697	ENDIF
	698
[106]	699	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	700
[1353]	701	IF ( denom /= 0.0_wp ) THEN
[996]	702	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	703	IF ( c_v(k,i) < 0.0_wp ) THEN
	704	c_v(k,i) = 0.0_wp
[106]	705	ELSEIF ( c_v(k,i) > c_max ) THEN
	706	c_v(k,i) = c_max
	707	ENDIF
	708	ELSE
	709	c_v(k,i) = c_max
[75]	710	ENDIF
	711
[106]	712	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	713
[1353]	714	IF ( denom /= 0.0_wp ) THEN
[996]	715	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	716	IF ( c_w(k,i) < 0.0_wp ) THEN
	717	c_w(k,i) = 0.0_wp
[106]	718	ELSEIF ( c_w(k,i) > c_max ) THEN
	719	c_w(k,i) = c_max
	720	ENDIF
	721	ELSE
	722	c_w(k,i) = c_max
[75]	723	ENDIF
[106]	724
[978]	725	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	726	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	727	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	728
[978]	729	ENDDO
	730	ENDDO
[75]	731
[978]	732	#if defined( __parallel )
	733	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	734	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	735	MPI_SUM, comm1dx, ierr )
	736	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	737	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	738	MPI_SUM, comm1dx, ierr )
	739	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	740	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	741	MPI_SUM, comm1dx, ierr )
	742	#else
	743	c_u_m = c_u_m_l
	744	c_v_m = c_v_m_l
	745	c_w_m = c_w_m_l
	746	#endif
	747
	748	c_u_m = c_u_m / (nx+1)
	749	c_v_m = c_v_m / (nx+1)
	750	c_w_m = c_w_m / (nx+1)
	751
[75]	752	!
[978]	753	!-- Save old timelevels for the next timestep
	754	IF ( intermediate_timestep_count == 1 ) THEN
	755	u_m_s(:,:,:) = u(:,0:1,:)
	756	v_m_s(:,:,:) = v(:,1:2,:)
	757	w_m_s(:,:,:) = w(:,0:1,:)
	758	ENDIF
	759
	760	!
	761	!-- Calculate the new velocities
[996]	762	DO k = nzb+1, nzt+1
	763	DO i = nxlg, nxrg
[978]	764	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	765	( u(k,-1,i) - u(k,0,i) ) * ddy
	766
[978]	767	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	768	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	769
[978]	770	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	771	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	772	ENDDO
[75]	773	ENDDO
	774
	775	!
[978]	776	!-- Bottom boundary at the outflow
	777	IF ( ibc_uv_b == 0 ) THEN
[1353]	778	u_p(nzb,-1,:) = 0.0_wp
	779	v_p(nzb,0,:) = 0.0_wp
[978]	780	ELSE
	781	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	782	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	783	ENDIF
[1353]	784	w_p(nzb,-1,:) = 0.0_wp
[73]	785
[75]	786	!
[978]	787	!-- Top boundary at the outflow
	788	IF ( ibc_uv_t == 0 ) THEN
	789	u_p(nzt+1,-1,:) = u_init(nzt+1)
	790	v_p(nzt+1,0,:) = v_init(nzt+1)
	791	ELSE
[1742]	792	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	793	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	794	ENDIF
[1353]	795	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	796
[75]	797	ENDIF
[73]	798
[75]	799	ENDIF
[73]	800
[106]	801	IF ( outflow_n ) THEN
[73]	802
[1159]	803	IF ( use_cmax ) THEN
	804	u_p(:,ny+1,:) = u(:,ny,:)
	805	v_p(:,ny+1,:) = v(:,ny,:)
	806	w_p(:,ny+1,:) = w(:,ny,:)
	807	ELSEIF ( .NOT. use_cmax ) THEN
[75]	808
[978]	809	c_max = dy / dt_3d
[75]	810
[1353]	811	c_u_m_l = 0.0_wp
	812	c_v_m_l = 0.0_wp
	813	c_w_m_l = 0.0_wp
[978]	814
[1353]	815	c_u_m = 0.0_wp
	816	c_v_m = 0.0_wp
	817	c_w_m = 0.0_wp
[978]	818
[1]	819	!
[996]	820	!-- Calculate the phase speeds for u, v, and w, first local and then
	821	!-- average along the outflow boundary.
	822	DO k = nzb+1, nzt+1
	823	DO i = nxl, nxr
[73]	824
[106]	825	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	826
[1353]	827	IF ( denom /= 0.0_wp ) THEN
[996]	828	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	829	IF ( c_u(k,i) < 0.0_wp ) THEN
	830	c_u(k,i) = 0.0_wp
[106]	831	ELSEIF ( c_u(k,i) > c_max ) THEN
	832	c_u(k,i) = c_max
	833	ENDIF
	834	ELSE
	835	c_u(k,i) = c_max
[73]	836	ENDIF
	837
[106]	838	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	839
[1353]	840	IF ( denom /= 0.0_wp ) THEN
[996]	841	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	842	IF ( c_v(k,i) < 0.0_wp ) THEN
	843	c_v(k,i) = 0.0_wp
[106]	844	ELSEIF ( c_v(k,i) > c_max ) THEN
	845	c_v(k,i) = c_max
	846	ENDIF
	847	ELSE
	848	c_v(k,i) = c_max
[73]	849	ENDIF
	850
[106]	851	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	852
[1353]	853	IF ( denom /= 0.0_wp ) THEN
[996]	854	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	855	IF ( c_w(k,i) < 0.0_wp ) THEN
	856	c_w(k,i) = 0.0_wp
[106]	857	ELSEIF ( c_w(k,i) > c_max ) THEN
	858	c_w(k,i) = c_max
	859	ENDIF
	860	ELSE
	861	c_w(k,i) = c_max
[73]	862	ENDIF
[106]	863
[978]	864	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	865	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	866	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	867
[978]	868	ENDDO
	869	ENDDO
[73]	870
[978]	871	#if defined( __parallel )
	872	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	873	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	874	MPI_SUM, comm1dx, ierr )
	875	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	876	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	877	MPI_SUM, comm1dx, ierr )
	878	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	879	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	880	MPI_SUM, comm1dx, ierr )
	881	#else
	882	c_u_m = c_u_m_l
	883	c_v_m = c_v_m_l
	884	c_w_m = c_w_m_l
	885	#endif
	886
	887	c_u_m = c_u_m / (nx+1)
	888	c_v_m = c_v_m / (nx+1)
	889	c_w_m = c_w_m / (nx+1)
	890
[73]	891	!
[978]	892	!-- Save old timelevels for the next timestep
	893	IF ( intermediate_timestep_count == 1 ) THEN
	894	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	895	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	896	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	897	ENDIF
[73]	898
[978]	899	!
	900	!-- Calculate the new velocities
[996]	901	DO k = nzb+1, nzt+1
	902	DO i = nxlg, nxrg
[978]	903	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	904	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	905
[978]	906	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	907	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	908
[978]	909	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	910	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	911	ENDDO
[1]	912	ENDDO
	913
	914	!
[978]	915	!-- Bottom boundary at the outflow
	916	IF ( ibc_uv_b == 0 ) THEN
[1353]	917	u_p(nzb,ny+1,:) = 0.0_wp
	918	v_p(nzb,ny+1,:) = 0.0_wp
[978]	919	ELSE
	920	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	921	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	922	ENDIF
[1353]	923	w_p(nzb,ny+1,:) = 0.0_wp
[73]	924
	925	!
[978]	926	!-- Top boundary at the outflow
	927	IF ( ibc_uv_t == 0 ) THEN
	928	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	929	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	930	ELSE
	931	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	932	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	933	ENDIF
[1353]	934	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	935
[1]	936	ENDIF
	937
[75]	938	ENDIF
	939
[106]	940	IF ( outflow_l ) THEN
[75]	941
[1159]	942	IF ( use_cmax ) THEN
[1717]	943	u_p(:,:,0) = u(:,:,1)
	944	v_p(:,:,-1) = v(:,:,0)
[1159]	945	w_p(:,:,-1) = w(:,:,0)
	946	ELSEIF ( .NOT. use_cmax ) THEN
[75]	947
[978]	948	c_max = dx / dt_3d
[75]	949
[1353]	950	c_u_m_l = 0.0_wp
	951	c_v_m_l = 0.0_wp
	952	c_w_m_l = 0.0_wp
[978]	953
[1353]	954	c_u_m = 0.0_wp
	955	c_v_m = 0.0_wp
	956	c_w_m = 0.0_wp
[978]	957
[1]	958	!
[996]	959	!-- Calculate the phase speeds for u, v, and w, first local and then
	960	!-- average along the outflow boundary.
	961	DO k = nzb+1, nzt+1
	962	DO j = nys, nyn
[75]	963
[106]	964	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	965
[1353]	966	IF ( denom /= 0.0_wp ) THEN
[996]	967	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	968	IF ( c_u(k,j) < 0.0_wp ) THEN
	969	c_u(k,j) = 0.0_wp
[107]	970	ELSEIF ( c_u(k,j) > c_max ) THEN
	971	c_u(k,j) = c_max
[106]	972	ENDIF
	973	ELSE
[107]	974	c_u(k,j) = c_max
[75]	975	ENDIF
	976
[106]	977	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	978
[1353]	979	IF ( denom /= 0.0_wp ) THEN
[996]	980	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	981	IF ( c_v(k,j) < 0.0_wp ) THEN
	982	c_v(k,j) = 0.0_wp
[106]	983	ELSEIF ( c_v(k,j) > c_max ) THEN
	984	c_v(k,j) = c_max
	985	ENDIF
	986	ELSE
	987	c_v(k,j) = c_max
[75]	988	ENDIF
	989
[106]	990	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	991
[1353]	992	IF ( denom /= 0.0_wp ) THEN
[996]	993	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	994	IF ( c_w(k,j) < 0.0_wp ) THEN
	995	c_w(k,j) = 0.0_wp
[106]	996	ELSEIF ( c_w(k,j) > c_max ) THEN
	997	c_w(k,j) = c_max
	998	ENDIF
	999	ELSE
	1000	c_w(k,j) = c_max
[75]	1001	ENDIF
[106]	1002
[978]	1003	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1004	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1005	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1006
[978]	1007	ENDDO
	1008	ENDDO
[75]	1009
[978]	1010	#if defined( __parallel )
	1011	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1012	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1013	MPI_SUM, comm1dy, ierr )
	1014	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1015	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1016	MPI_SUM, comm1dy, ierr )
	1017	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1018	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1019	MPI_SUM, comm1dy, ierr )
	1020	#else
	1021	c_u_m = c_u_m_l
	1022	c_v_m = c_v_m_l
	1023	c_w_m = c_w_m_l
	1024	#endif
	1025
	1026	c_u_m = c_u_m / (ny+1)
	1027	c_v_m = c_v_m / (ny+1)
	1028	c_w_m = c_w_m / (ny+1)
	1029
[73]	1030	!
[978]	1031	!-- Save old timelevels for the next timestep
	1032	IF ( intermediate_timestep_count == 1 ) THEN
	1033	u_m_l(:,:,:) = u(:,:,1:2)
	1034	v_m_l(:,:,:) = v(:,:,0:1)
	1035	w_m_l(:,:,:) = w(:,:,0:1)
	1036	ENDIF
	1037
	1038	!
	1039	!-- Calculate the new velocities
[996]	1040	DO k = nzb+1, nzt+1
[1113]	1041	DO j = nysg, nyng
[978]	1042	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1043	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1044
[978]	1045	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1046	( v(k,j,-1) - v(k,j,0) ) * ddx
	1047
[978]	1048	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1049	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1050	ENDDO
[75]	1051	ENDDO
	1052
	1053	!
[978]	1054	!-- Bottom boundary at the outflow
	1055	IF ( ibc_uv_b == 0 ) THEN
[1353]	1056	u_p(nzb,:,0) = 0.0_wp
	1057	v_p(nzb,:,-1) = 0.0_wp
[978]	1058	ELSE
	1059	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1060	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1061	ENDIF
[1353]	1062	w_p(nzb,:,-1) = 0.0_wp
[1]	1063
[75]	1064	!
[978]	1065	!-- Top boundary at the outflow
	1066	IF ( ibc_uv_t == 0 ) THEN
[1764]	1067	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1068	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1069	ELSE
[1764]	1070	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1071	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1072	ENDIF
[1353]	1073	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1074
[75]	1075	ENDIF
[73]	1076
[75]	1077	ENDIF
[73]	1078
[106]	1079	IF ( outflow_r ) THEN
[73]	1080
[1159]	1081	IF ( use_cmax ) THEN
	1082	u_p(:,:,nx+1) = u(:,:,nx)
	1083	v_p(:,:,nx+1) = v(:,:,nx)
	1084	w_p(:,:,nx+1) = w(:,:,nx)
	1085	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1086
[978]	1087	c_max = dx / dt_3d
[75]	1088
[1353]	1089	c_u_m_l = 0.0_wp
	1090	c_v_m_l = 0.0_wp
	1091	c_w_m_l = 0.0_wp
[978]	1092
[1353]	1093	c_u_m = 0.0_wp
	1094	c_v_m = 0.0_wp
	1095	c_w_m = 0.0_wp
[978]	1096
[1]	1097	!
[996]	1098	!-- Calculate the phase speeds for u, v, and w, first local and then
	1099	!-- average along the outflow boundary.
	1100	DO k = nzb+1, nzt+1
	1101	DO j = nys, nyn
[73]	1102
[106]	1103	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1104
[1353]	1105	IF ( denom /= 0.0_wp ) THEN
[996]	1106	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1107	IF ( c_u(k,j) < 0.0_wp ) THEN
	1108	c_u(k,j) = 0.0_wp
[106]	1109	ELSEIF ( c_u(k,j) > c_max ) THEN
	1110	c_u(k,j) = c_max
	1111	ENDIF
	1112	ELSE
	1113	c_u(k,j) = c_max
[73]	1114	ENDIF
	1115
[106]	1116	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1117
[1353]	1118	IF ( denom /= 0.0_wp ) THEN
[996]	1119	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1120	IF ( c_v(k,j) < 0.0_wp ) THEN
	1121	c_v(k,j) = 0.0_wp
[106]	1122	ELSEIF ( c_v(k,j) > c_max ) THEN
	1123	c_v(k,j) = c_max
	1124	ENDIF
	1125	ELSE
	1126	c_v(k,j) = c_max
[73]	1127	ENDIF
	1128
[106]	1129	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1130
[1353]	1131	IF ( denom /= 0.0_wp ) THEN
[996]	1132	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1133	IF ( c_w(k,j) < 0.0_wp ) THEN
	1134	c_w(k,j) = 0.0_wp
[106]	1135	ELSEIF ( c_w(k,j) > c_max ) THEN
	1136	c_w(k,j) = c_max
	1137	ENDIF
	1138	ELSE
	1139	c_w(k,j) = c_max
[73]	1140	ENDIF
[106]	1141
[978]	1142	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1143	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1144	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1145
[978]	1146	ENDDO
	1147	ENDDO
[73]	1148
[978]	1149	#if defined( __parallel )
	1150	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1151	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1152	MPI_SUM, comm1dy, ierr )
	1153	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1154	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1155	MPI_SUM, comm1dy, ierr )
	1156	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1157	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1158	MPI_SUM, comm1dy, ierr )
	1159	#else
	1160	c_u_m = c_u_m_l
	1161	c_v_m = c_v_m_l
	1162	c_w_m = c_w_m_l
	1163	#endif
	1164
	1165	c_u_m = c_u_m / (ny+1)
	1166	c_v_m = c_v_m / (ny+1)
	1167	c_w_m = c_w_m / (ny+1)
	1168
[73]	1169	!
[978]	1170	!-- Save old timelevels for the next timestep
	1171	IF ( intermediate_timestep_count == 1 ) THEN
	1172	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1173	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1174	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1175	ENDIF
[73]	1176
[978]	1177	!
	1178	!-- Calculate the new velocities
[996]	1179	DO k = nzb+1, nzt+1
[1113]	1180	DO j = nysg, nyng
[978]	1181	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1182	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1183
[978]	1184	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1185	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1186
[978]	1187	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1188	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1189	ENDDO
[73]	1190	ENDDO
	1191
	1192	!
[978]	1193	!-- Bottom boundary at the outflow
	1194	IF ( ibc_uv_b == 0 ) THEN
[1353]	1195	u_p(nzb,:,nx+1) = 0.0_wp
	1196	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1197	ELSE
	1198	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1199	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1200	ENDIF
[1353]	1201	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1202
	1203	!
[978]	1204	!-- Top boundary at the outflow
	1205	IF ( ibc_uv_t == 0 ) THEN
	1206	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1207	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1208	ELSE
	1209	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1210	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1211	ENDIF
[1742]	1212	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1213
[1]	1214	ENDIF
	1215
	1216	ENDIF
	1217
	1218	END SUBROUTINE boundary_conds

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