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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3274

Last change on this file since 3274 was 3274, checked in by knoop, 6 years ago
Modularization of all bulk cloud physics code components
Property svn:keywords set to `Id`
File size: 46.5 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	!
[3183]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 3274 2018-09-24 15:42:55Z knoop $
[3274]	27	! Modularization of all bulk cloud physics code components
	28	!
	29	! 3241 2018-09-12 15:02:00Z raasch
[3241]	30	! unused variables removed
	31	!
	32	! 3183 2018-07-27 14:25:55Z suehring
[3183]	33	! Rename some variables concerning LES-LES as well as offline nesting
	34	!
	35	! 3182 2018-07-27 13:36:03Z suehring
[3129]	36	! - Use wall function for e_p and diss_p in case of rans_tke_e
	37	! - move limitation of diss_p from tcm_prognostic
	38	!
	39	! 2938 2018-03-27 15:52:42Z suehring
[2938]	40	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	41	! and if parent model operates in RANS mode but child model in LES mode.
	42	! mode
	43	!
	44	! 2793 2018-02-07 10:54:33Z suehring
[2766]	45	! Removed preprocessor directive __chem
	46	!
	47	! 2718 2018-01-02 08:49:38Z maronga
[2716]	48	! Corrected "Former revisions" section
	49	!
	50	! 2696 2017-12-14 17:12:51Z kanani
	51	! Change in file header (GPL part)
[2696]	52	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	53	! Implementation of chemistry module (FK)
	54	!
	55	! 2569 2017-10-20 11:54:42Z kanani
[2569]	56	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	57	!
	58	! 2365 2017-08-21 14:59:59Z kanani
[2365]	59	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	60	! on fine grid (SadiqHuq)
	61	!
	62	! 2320 2017-07-21 12:47:43Z suehring
[2320]	63	! Remove unused control parameter large_scale_forcing from only-list
	64	!
	65	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	66	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	67	! includes two more prognostic equations for cloud drop concentration (nc)
	68	! and cloud water content (qc).
	69	!
	70	! 2233 2017-05-30 18:08:54Z suehring
[1321]	71	!
[2233]	72	! 2232 2017-05-30 17:47:52Z suehring
	73	! Set boundary conditions on topography top using flag method.
	74	!
[2119]	75	! 2118 2017-01-17 16:38:49Z raasch
	76	! OpenACC directives removed
	77	!
[2001]	78	! 2000 2016-08-20 18:09:15Z knoop
	79	! Forced header and separation lines into 80 columns
	80	!
[1993]	81	! 1992 2016-08-12 15:14:59Z suehring
	82	! Adjustments for top boundary condition for passive scalar
	83	!
[1961]	84	! 1960 2016-07-12 16:34:24Z suehring
	85	! Treat humidity and passive scalar separately
	86	!
[1933]	87	! 1823 2016-04-07 08:57:52Z hoffmann
	88	! Initial version of purely vertical nesting introduced.
	89	!
[1823]	90	! 1822 2016-04-07 07:49:42Z hoffmann
	91	! icloud_scheme removed. microphyisics_seifert added.
	92	!
[1765]	93	! 1764 2016-02-28 12:45:19Z raasch
	94	! index bug for u_p at left outflow removed
	95	!
[1763]	96	! 1762 2016-02-25 12:31:13Z hellstea
	97	! Introduction of nested domain feature
	98	!
[1744]	99	! 1742 2016-01-13 09:50:06Z raasch
	100	! bugfix for outflow Neumann boundary conditions at bottom and top
	101	!
[1718]	102	! 1717 2015-11-11 15:09:47Z raasch
	103	! Bugfix: index error in outflow conditions for left boundary
	104	!
[1683]	105	! 1682 2015-10-07 23:56:08Z knoop
	106	! Code annotations made doxygen readable
	107	!
[1717]	108	! 1410 2014-05-23 12:16:18Z suehring
[1463]	109	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	110	! top
	111	!
[1410]	112	! 1399 2014-05-07 11:16:25Z heinze
	113	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	114	! is used.
	115	!
[1399]	116	! 1398 2014-05-07 11:15:00Z heinze
	117	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	118	! for large_scale_forcing
	119	!
[1381]	120	! 1380 2014-04-28 12:40:45Z heinze
	121	! Adjust Dirichlet-condition at the top for pt in case of nudging
	122	!
[1362]	123	! 1361 2014-04-16 15:17:48Z hoffmann
	124	! Bottom and top boundary conditions of rain water content (qr) and
	125	! rain drop concentration (nr) changed to Dirichlet
	126	!
[1354]	127	! 1353 2014-04-08 15:21:23Z heinze
	128	! REAL constants provided with KIND-attribute
	129	!
[1321]	130	! 1320 2014-03-20 08:40:49Z raasch
[1320]	131	! ONLY-attribute added to USE-statements,
	132	! kind-parameters added to all INTEGER and REAL declaration statements,
	133	! kinds are defined in new module kinds,
	134	! revision history before 2012 removed,
	135	! comment fields (!:) to be used for variable explanations added to
	136	! all variable declaration statements
[1160]	137	!
[1258]	138	! 1257 2013-11-08 15:18:40Z raasch
	139	! loop independent clauses added
	140	!
[1242]	141	! 1241 2013-10-30 11:36:58Z heinze
	142	! Adjust ug and vg at each timestep in case of large_scale_forcing
	143	!
[1160]	144	! 1159 2013-05-21 11:58:22Z fricke
[1159]	145	! Bugfix: Neumann boundary conditions for the velocity components at the
	146	! outflow are in fact radiation boundary conditions using the maximum phase
	147	! velocity that ensures numerical stability (CFL-condition).
	148	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	149	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	150	! u_p, v_p, w_p
[1116]	151	!
	152	! 1115 2013-03-26 18:16:16Z hoffmann
	153	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	154	! boundary-conditions
	155	!
[1114]	156	! 1113 2013-03-10 02:48:14Z raasch
	157	! GPU-porting
	158	! dummy argument "range" removed
	159	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	160	!
[1054]	161	! 1053 2012-11-13 17:11:03Z hoffmann
	162	! boundary conditions for the two new prognostic equations (nr, qr) of the
	163	! two-moment cloud scheme
	164	!
[1037]	165	! 1036 2012-10-22 13:43:42Z raasch
	166	! code put under GPL (PALM 3.9)
	167	!
[997]	168	! 996 2012-09-07 10:41:47Z raasch
	169	! little reformatting
	170	!
[979]	171	! 978 2012-08-09 08:28:32Z fricke
	172	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	173	! Outflow boundary conditions for the velocity components can be set to Neumann
	174	! conditions or to radiation conditions with a horizontal averaged phase
	175	! velocity.
	176	!
[876]	177	! 875 2012-04-02 15:35:15Z gryschka
	178	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	179	!
[1]	180	! Revision 1.1 1997/09/12 06:21:34 raasch
	181	! Initial revision
	182	!
	183	!
	184	! Description:
	185	! ------------
[1682]	186	!> Boundary conditions for the prognostic quantities.
	187	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	188	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	189	!> handled in routine exchange_horiz. Pressure boundary conditions are
	190	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	191	!------------------------------------------------------------------------------!
[1682]	192	SUBROUTINE boundary_conds
	193
[1]	194
[1320]	195	USE arrays_3d, &
	196	ONLY: c_u, c_u_m, c_u_m_l, c_v, c_v_m, c_v_m_l, c_w, c_w_m, c_w_m_l, &
[3241]	197	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	198	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	199	u_m_r, u_m_s, u_p, v, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
	200	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	201
[3274]	202	USE basic_constants_and_equations_mod, &
	203	ONLY: kappa
	204
[2696]	205	USE chemistry_model_mod, &
	206	ONLY: chem_boundary_conds
	207
[1320]	208	USE control_parameters, &
[3182]	209	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	210	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	211	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
[3274]	212	child_domain, constant_diffusion, coupling_mode, &
[3182]	213	dt_3d, humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
	214	ibc_s_t,ibc_sa_t, ibc_uv_b, ibc_uv_t, &
[3274]	215	intermediate_timestep_count, &
[3182]	216	nesting_offline, nudging, &
	217	ocean, passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
[1320]	218
	219	USE grid_variables, &
	220	ONLY: ddx, ddy, dx, dy
	221
	222	USE indices, &
	223	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[3241]	224	nzb, nzt
[1320]	225
	226	USE kinds
	227
[3274]	228	USE bulk_cloud_model_mod, &
	229	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
	230
[1]	231	USE pegrid
	232
[1933]	233	USE pmc_interface, &
[2938]	234	ONLY : nesting_mode, rans_mode_parent
[1320]	235
[2232]	236	USE surface_mod, &
[3129]	237	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	238	surf_usm_h, surf_usm_v
[1933]	239
[3129]	240	USE turbulence_closure_mod, &
	241	ONLY: c_0
	242
[1]	243	IMPLICIT NONE
	244
[2232]	245	INTEGER(iwp) :: i !< grid index x direction
	246	INTEGER(iwp) :: j !< grid index y direction
	247	INTEGER(iwp) :: k !< grid index z direction
	248	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	249	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	250	INTEGER(iwp) :: m !< running index surface elements
[1]	251
[1682]	252	REAL(wp) :: c_max !<
	253	REAL(wp) :: denom !<
[1]	254
[73]	255
[1]	256	!
[1113]	257	!-- Bottom boundary
	258	IF ( ibc_uv_b == 1 ) THEN
	259	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	260	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	261	ENDIF
[2232]	262	!
	263	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	264	!-- of downward-facing surfaces.
	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	!$OMP PARALLEL DO PRIVATE( i, j, k )
	271	DO m = 1, bc_h(l)%ns
	272	i = bc_h(l)%i(m)
	273	j = bc_h(l)%j(m)
	274	k = bc_h(l)%k(m)
	275	w_p(k+kb,j,i) = 0.0_wp
[1113]	276	ENDDO
	277	ENDDO
	278
	279	!
[1762]	280	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	281	IF ( ibc_uv_t == 0 ) THEN
	282	u_p(nzt+1,:,:) = u_init(nzt+1)
	283	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	284	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	285	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	286	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	287	ENDIF
	288
[2365]	289	!
	290	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3182]	291	IF ( .NOT. child_domain .AND. &
[2365]	292	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	293	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	294	ENDIF
	295
[1113]	296	!
[2232]	297	!-- Temperature at bottom and top boundary.
[1113]	298	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	299	!-- the sea surface temperature of the coupled ocean model.
[2232]	300	!-- Dirichlet
[1113]	301	IF ( ibc_pt_b == 0 ) THEN
[2232]	302	DO l = 0, 1
	303	!
	304	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	305	!-- for downward-facing surfaces at topography bottom (k+1).
	306	kb = MERGE( -1, 1, l == 0 )
	307	!$OMP PARALLEL DO PRIVATE( i, j, k )
	308	DO m = 1, bc_h(l)%ns
	309	i = bc_h(l)%i(m)
	310	j = bc_h(l)%j(m)
	311	k = bc_h(l)%k(m)
	312	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	313	ENDDO
	314	ENDDO
[2232]	315	!
	316	!-- Neumann, zero-gradient
[1113]	317	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	318	DO l = 0, 1
	319	!
	320	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	321	!-- for downward-facing surfaces at topography bottom (k+1).
	322	kb = MERGE( -1, 1, l == 0 )
	323	!$OMP PARALLEL DO PRIVATE( i, j, k )
	324	DO m = 1, bc_h(l)%ns
	325	i = bc_h(l)%i(m)
	326	j = bc_h(l)%j(m)
	327	k = bc_h(l)%k(m)
	328	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	329	ENDDO
	330	ENDDO
	331	ENDIF
[1]	332
	333	!
[1113]	334	!-- Temperature at top boundary
	335	IF ( ibc_pt_t == 0 ) THEN
	336	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	337	!
	338	!-- In case of nudging adjust top boundary to pt which is
	339	!-- read in from NUDGING-DATA
	340	IF ( nudging ) THEN
	341	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	342	ENDIF
[1113]	343	ELSEIF ( ibc_pt_t == 1 ) THEN
	344	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	345	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	346	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	347	ENDIF
[1]	348
	349	!
[2938]	350	!-- Boundary conditions for TKE.
	351	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	352	IF ( .NOT. constant_diffusion ) THEN
[2232]	353
[2696]	354	IF ( .NOT. rans_tke_e ) THEN
	355	DO l = 0, 1
[2232]	356	!
[2696]	357	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	358	!-- for downward-facing surfaces at topography bottom (k+1).
	359	kb = MERGE( -1, 1, l == 0 )
	360	!$OMP PARALLEL DO PRIVATE( i, j, k )
	361	DO m = 1, bc_h(l)%ns
	362	i = bc_h(l)%i(m)
	363	j = bc_h(l)%j(m)
	364	k = bc_h(l)%k(m)
	365	e_p(k+kb,j,i) = e_p(k,j,i)
	366	ENDDO
[73]	367	ENDDO
[3129]	368	ELSE
	369	!
	370	!-- Use wall function within constant-flux layer
	371	!-- Upward-facing surfaces
	372	!-- Default surfaces
	373	DO m = 1, surf_def_h(0)%ns
	374	i = surf_def_h(0)%i(m)
	375	j = surf_def_h(0)%j(m)
	376	k = surf_def_h(0)%k(m)
	377	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	378	ENDDO
	379	!
	380	!-- Natural surfaces
	381	DO m = 1, surf_lsm_h%ns
	382	i = surf_lsm_h%i(m)
	383	j = surf_lsm_h%j(m)
	384	k = surf_lsm_h%k(m)
	385	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	386	ENDDO
	387	!
	388	!-- Urban surfaces
	389	DO m = 1, surf_usm_h%ns
	390	i = surf_usm_h%i(m)
	391	j = surf_usm_h%j(m)
	392	k = surf_usm_h%k(m)
	393	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	394	ENDDO
	395	!
	396	!-- Vertical surfaces
	397	DO l = 0, 3
	398	!
	399	!-- Default surfaces
	400	DO m = 1, surf_def_v(l)%ns
	401	i = surf_def_v(l)%i(m)
	402	j = surf_def_v(l)%j(m)
	403	k = surf_def_v(l)%k(m)
	404	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	405	ENDDO
	406	!
	407	!-- Natural surfaces
	408	DO m = 1, surf_lsm_v(l)%ns
	409	i = surf_lsm_v(l)%i(m)
	410	j = surf_lsm_v(l)%j(m)
	411	k = surf_lsm_v(l)%k(m)
	412	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	413	ENDDO
	414	!
	415	!-- Urban surfaces
	416	DO m = 1, surf_usm_v(l)%ns
	417	i = surf_usm_v(l)%i(m)
	418	j = surf_usm_v(l)%j(m)
	419	k = surf_usm_v(l)%k(m)
	420	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	421	ENDDO
	422	ENDDO
[2696]	423	ENDIF
[2232]	424
[3182]	425	IF ( .NOT. child_domain ) THEN
[1762]	426	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[2938]	427	!
	428	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	429	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	430	!-- top child boundaries.
	431	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	432	!-- is treated in the nesting.
	433	ELSE
	434
	435	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	436
	437	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	438	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	439	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	440	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	441	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	442
	443	ENDIF
[1762]	444	ENDIF
[1113]	445	ENDIF
	446
	447	!
[2938]	448	!-- Boundary conditions for TKE dissipation rate.
[3129]	449	IF ( rans_tke_e ) THEN
	450	!
	451	!-- Use wall function within constant-flux layer
	452	!-- Upward-facing surfaces
	453	!-- Default surfaces
	454	DO m = 1, surf_def_h(0)%ns
	455	i = surf_def_h(0)%i(m)
	456	j = surf_def_h(0)%j(m)
	457	k = surf_def_h(0)%k(m)
	458	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	459	/ ( kappa * surf_def_h(0)%z_mo(m) )
	460	ENDDO
	461	!
	462	!-- Natural surfaces
	463	DO m = 1, surf_lsm_h%ns
	464	i = surf_lsm_h%i(m)
	465	j = surf_lsm_h%j(m)
	466	k = surf_lsm_h%k(m)
	467	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	468	/ ( kappa * surf_lsm_h%z_mo(m) )
	469	ENDDO
	470	!
	471	!-- Urban surfaces
	472	DO m = 1, surf_usm_h%ns
	473	i = surf_usm_h%i(m)
	474	j = surf_usm_h%j(m)
	475	k = surf_usm_h%k(m)
	476	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	477	/ ( kappa * surf_usm_h%z_mo(m) )
	478	ENDDO
	479	!
	480	!-- Vertical surfaces
	481	DO l = 0, 3
	482	!
	483	!-- Default surfaces
	484	DO m = 1, surf_def_v(l)%ns
	485	i = surf_def_v(l)%i(m)
	486	j = surf_def_v(l)%j(m)
	487	k = surf_def_v(l)%k(m)
	488	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	489	/ ( kappa * surf_def_v(l)%z_mo(m) )
	490	ENDDO
	491	!
	492	!-- Natural surfaces
	493	DO m = 1, surf_lsm_v(l)%ns
	494	i = surf_lsm_v(l)%i(m)
	495	j = surf_lsm_v(l)%j(m)
	496	k = surf_lsm_v(l)%k(m)
	497	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	498	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	499	ENDDO
	500	!
	501	!-- Urban surfaces
	502	DO m = 1, surf_usm_v(l)%ns
	503	i = surf_usm_v(l)%i(m)
	504	j = surf_usm_v(l)%j(m)
	505	k = surf_usm_v(l)%k(m)
	506	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	507	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	508	ENDDO
	509	ENDDO
	510	!
	511	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	512	!-- minimum value
	513	DO i = nxl, nxr
	514	DO j = nys, nyn
	515	DO k = nzb, nzt+1
	516	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	517	2.0_wp * diss(k,j,i) ), &
	518	0.1_wp * diss(k,j,i), &
	519	0.0001_wp )
	520	ENDDO
	521	ENDDO
	522	ENDDO
	523
[3182]	524	IF ( .NOT. child_domain ) THEN
[3129]	525	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	526	ENDIF
[2696]	527	ENDIF
	528
	529	!
[1113]	530	!-- Boundary conditions for salinity
	531	IF ( ocean ) THEN
	532	!
	533	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	534	!-- given.
	535	DO l = 0, 1
	536	!
	537	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	538	!-- for downward-facing surfaces at topography bottom (k+1).
	539	kb = MERGE( -1, 1, l == 0 )
	540	!$OMP PARALLEL DO PRIVATE( i, j, k )
	541	DO m = 1, bc_h(l)%ns
	542	i = bc_h(l)%i(m)
	543	j = bc_h(l)%j(m)
	544	k = bc_h(l)%k(m)
	545	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	546	ENDDO
[1113]	547	ENDDO
[1]	548	!
[1113]	549	!-- Top boundary: Dirichlet or Neumann
	550	IF ( ibc_sa_t == 0 ) THEN
	551	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	552	ELSEIF ( ibc_sa_t == 1 ) THEN
	553	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	554	ENDIF
	555
[1113]	556	ENDIF
	557
[1]	558	!
[1960]	559	!-- Boundary conditions for total water content,
[1113]	560	!-- bottom and top boundary (see also temperature)
[1960]	561	IF ( humidity ) THEN
[1113]	562	!
	563	!-- Surface conditions for constant_humidity_flux
[2232]	564	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	565	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	566	!-- q_p at k-1
[1113]	567	IF ( ibc_q_b == 0 ) THEN
[2232]	568
	569	DO l = 0, 1
	570	!
	571	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	572	!-- for downward-facing surfaces at topography bottom (k+1).
	573	kb = MERGE( -1, 1, l == 0 )
	574	!$OMP PARALLEL DO PRIVATE( i, j, k )
	575	DO m = 1, bc_h(l)%ns
	576	i = bc_h(l)%i(m)
	577	j = bc_h(l)%j(m)
	578	k = bc_h(l)%k(m)
	579	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	580	ENDDO
	581	ENDDO
[2232]	582
[1113]	583	ELSE
[2232]	584
	585	DO l = 0, 1
	586	!
	587	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	588	!-- for downward-facing surfaces at topography bottom (k+1).
	589	kb = MERGE( -1, 1, l == 0 )
	590	!$OMP PARALLEL DO PRIVATE( i, j, k )
	591	DO m = 1, bc_h(l)%ns
	592	i = bc_h(l)%i(m)
	593	j = bc_h(l)%j(m)
	594	k = bc_h(l)%k(m)
	595	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	596	ENDDO
	597	ENDDO
[1113]	598	ENDIF
[95]	599	!
[1113]	600	!-- Top boundary
[1462]	601	IF ( ibc_q_t == 0 ) THEN
	602	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	603	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	604	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	605	ENDIF
[95]	606
[3274]	607	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	608	!
	609	!-- Surface conditions cloud water (Dirichlet)
	610	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	611	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	612	!-- qr_p and nr_p at k-1
	613	!$OMP PARALLEL DO PRIVATE( i, j, k )
	614	DO m = 1, bc_h(0)%ns
	615	i = bc_h(0)%i(m)
	616	j = bc_h(0)%j(m)
	617	k = bc_h(0)%k(m)
	618	qc_p(k-1,j,i) = 0.0_wp
	619	nc_p(k-1,j,i) = 0.0_wp
	620	ENDDO
	621	!
	622	!-- Top boundary condition for cloud water (Dirichlet)
	623	qc_p(nzt+1,:,:) = 0.0_wp
	624	nc_p(nzt+1,:,:) = 0.0_wp
	625
	626	ENDIF
	627
[3274]	628	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1113]	629	!
[1361]	630	!-- Surface conditions rain water (Dirichlet)
[2232]	631	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	632	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	633	!-- qr_p and nr_p at k-1
	634	!$OMP PARALLEL DO PRIVATE( i, j, k )
	635	DO m = 1, bc_h(0)%ns
	636	i = bc_h(0)%i(m)
	637	j = bc_h(0)%j(m)
	638	k = bc_h(0)%k(m)
	639	qr_p(k-1,j,i) = 0.0_wp
	640	nr_p(k-1,j,i) = 0.0_wp
[1115]	641	ENDDO
[1]	642	!
[1361]	643	!-- Top boundary condition for rain water (Dirichlet)
	644	qr_p(nzt+1,:,:) = 0.0_wp
	645	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	646
[1]	647	ENDIF
[1409]	648	ENDIF
[1]	649	!
[1960]	650	!-- Boundary conditions for scalar,
	651	!-- bottom and top boundary (see also temperature)
	652	IF ( passive_scalar ) THEN
	653	!
	654	!-- Surface conditions for constant_humidity_flux
[2232]	655	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	656	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	657	!-- s_p at k-1
[1960]	658	IF ( ibc_s_b == 0 ) THEN
[2232]	659
	660	DO l = 0, 1
	661	!
	662	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	663	!-- for downward-facing surfaces at topography bottom (k+1).
	664	kb = MERGE( -1, 1, l == 0 )
	665	!$OMP PARALLEL DO PRIVATE( i, j, k )
	666	DO m = 1, bc_h(l)%ns
	667	i = bc_h(l)%i(m)
	668	j = bc_h(l)%j(m)
	669	k = bc_h(l)%k(m)
	670	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	671	ENDDO
	672	ENDDO
[2232]	673
[1960]	674	ELSE
[2232]	675
	676	DO l = 0, 1
	677	!
	678	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	679	!-- for downward-facing surfaces at topography bottom (k+1).
	680	kb = MERGE( -1, 1, l == 0 )
	681	!$OMP PARALLEL DO PRIVATE( i, j, k )
	682	DO m = 1, bc_h(l)%ns
	683	i = bc_h(l)%i(m)
	684	j = bc_h(l)%j(m)
	685	k = bc_h(l)%k(m)
	686	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	687	ENDDO
	688	ENDDO
	689	ENDIF
	690	!
[1992]	691	!-- Top boundary condition
	692	IF ( ibc_s_t == 0 ) THEN
[1960]	693	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	694	ELSEIF ( ibc_s_t == 1 ) THEN
	695	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	696	ELSEIF ( ibc_s_t == 2 ) THEN
	697	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	698	ENDIF
	699
	700	ENDIF
	701	!
[2696]	702	!-- Top/bottom boundary conditions for chemical species
	703	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	704	!
[1762]	705	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	706	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	707	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	708	!-- version) these levels are handled as a prognostic level, boundary values
	709	!-- have to be restored here.
[1409]	710	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	711	IF ( bc_dirichlet_s ) THEN
[1409]	712	v_p(:,nys,:) = v_p(:,nys-1,:)
	713	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	714	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	715	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	716	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	717	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	718	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	719	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	720	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	721	ENDIF
[1]	722
	723	!
[1762]	724	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	725	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	726	!-- mode as in that case the lateral boundaries are actually cyclic.
	727	!-- @todo: Is this really needed? Boundary values will be overwritten in
	728	!-- coupler or by Inifor data.
	729	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	730	IF ( bc_dirichlet_s ) THEN
[1933]	731	v_p(:,nys,:) = v_p(:,nys-1,:)
	732	ENDIF
[3182]	733	IF ( bc_dirichlet_l ) THEN
[1933]	734	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	735	ENDIF
[1762]	736	ENDIF
	737
	738	!
[1409]	739	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	740	IF ( bc_radiation_s ) THEN
[1409]	741	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	742	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	743	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	744	IF ( humidity ) THEN
[1409]	745	q_p(:,nys-1,:) = q_p(:,nys,:)
[3274]	746	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	747	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	748	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	749	ENDIF
[3274]	750	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	751	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	752	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	753	ENDIF
[1409]	754	ENDIF
[1960]	755	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	756	ELSEIF ( bc_radiation_n ) THEN
[1409]	757	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	758	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	759	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	760	IF ( humidity ) THEN
[1409]	761	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[3274]	762	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	763	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	764	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	765	ENDIF
[3274]	766	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	767	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	768	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	769	ENDIF
[1409]	770	ENDIF
[1960]	771	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	772	ELSEIF ( bc_radiation_l ) THEN
[1409]	773	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	774	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	775	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	776	IF ( humidity ) THEN
[1409]	777	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[3274]	778	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	779	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	780	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	781	ENDIF
[3274]	782	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	783	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	784	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	785	ENDIF
[1409]	786	ENDIF
[1960]	787	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	788	ELSEIF ( bc_radiation_r ) THEN
[1409]	789	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	790	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	791	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	792	IF ( humidity ) THEN
[1409]	793	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[3274]	794	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	795	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	796	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	797	ENDIF
[3274]	798	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	799	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	800	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	801	ENDIF
[1]	802	ENDIF
[1960]	803	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	804	ENDIF
	805
	806	!
[2696]	807	!-- Lateral boundary conditions for chemical species
	808	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	809
	810	!
[1159]	811	!-- Radiation boundary conditions for the velocities at the respective outflow.
	812	!-- The phase velocity is either assumed to the maximum phase velocity that
	813	!-- ensures numerical stability (CFL-condition) or calculated after
	814	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	815	IF ( bc_radiation_s ) THEN
[75]	816
[1159]	817	IF ( use_cmax ) THEN
	818	u_p(:,-1,:) = u(:,0,:)
	819	v_p(:,0,:) = v(:,1,:)
	820	w_p(:,-1,:) = w(:,0,:)
	821	ELSEIF ( .NOT. use_cmax ) THEN
[75]	822
[978]	823	c_max = dy / dt_3d
[75]	824
[1353]	825	c_u_m_l = 0.0_wp
	826	c_v_m_l = 0.0_wp
	827	c_w_m_l = 0.0_wp
[978]	828
[1353]	829	c_u_m = 0.0_wp
	830	c_v_m = 0.0_wp
	831	c_w_m = 0.0_wp
[978]	832
[75]	833	!
[996]	834	!-- Calculate the phase speeds for u, v, and w, first local and then
	835	!-- average along the outflow boundary.
	836	DO k = nzb+1, nzt+1
	837	DO i = nxl, nxr
[75]	838
[106]	839	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	840
[1353]	841	IF ( denom /= 0.0_wp ) THEN
[996]	842	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	843	IF ( c_u(k,i) < 0.0_wp ) THEN
	844	c_u(k,i) = 0.0_wp
[106]	845	ELSEIF ( c_u(k,i) > c_max ) THEN
	846	c_u(k,i) = c_max
	847	ENDIF
	848	ELSE
	849	c_u(k,i) = c_max
[75]	850	ENDIF
	851
[106]	852	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	853
[1353]	854	IF ( denom /= 0.0_wp ) THEN
[996]	855	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	856	IF ( c_v(k,i) < 0.0_wp ) THEN
	857	c_v(k,i) = 0.0_wp
[106]	858	ELSEIF ( c_v(k,i) > c_max ) THEN
	859	c_v(k,i) = c_max
	860	ENDIF
	861	ELSE
	862	c_v(k,i) = c_max
[75]	863	ENDIF
	864
[106]	865	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	866
[1353]	867	IF ( denom /= 0.0_wp ) THEN
[996]	868	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	869	IF ( c_w(k,i) < 0.0_wp ) THEN
	870	c_w(k,i) = 0.0_wp
[106]	871	ELSEIF ( c_w(k,i) > c_max ) THEN
	872	c_w(k,i) = c_max
	873	ENDIF
	874	ELSE
	875	c_w(k,i) = c_max
[75]	876	ENDIF
[106]	877
[978]	878	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	879	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	880	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	881
[978]	882	ENDDO
	883	ENDDO
[75]	884
[978]	885	#if defined( __parallel )
	886	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	887	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	888	MPI_SUM, comm1dx, ierr )
	889	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	890	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	891	MPI_SUM, comm1dx, ierr )
	892	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	893	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	894	MPI_SUM, comm1dx, ierr )
	895	#else
	896	c_u_m = c_u_m_l
	897	c_v_m = c_v_m_l
	898	c_w_m = c_w_m_l
	899	#endif
	900
	901	c_u_m = c_u_m / (nx+1)
	902	c_v_m = c_v_m / (nx+1)
	903	c_w_m = c_w_m / (nx+1)
	904
[75]	905	!
[978]	906	!-- Save old timelevels for the next timestep
	907	IF ( intermediate_timestep_count == 1 ) THEN
	908	u_m_s(:,:,:) = u(:,0:1,:)
	909	v_m_s(:,:,:) = v(:,1:2,:)
	910	w_m_s(:,:,:) = w(:,0:1,:)
	911	ENDIF
	912
	913	!
	914	!-- Calculate the new velocities
[996]	915	DO k = nzb+1, nzt+1
	916	DO i = nxlg, nxrg
[978]	917	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	918	( u(k,-1,i) - u(k,0,i) ) * ddy
	919
[978]	920	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	921	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	922
[978]	923	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	924	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	925	ENDDO
[75]	926	ENDDO
	927
	928	!
[978]	929	!-- Bottom boundary at the outflow
	930	IF ( ibc_uv_b == 0 ) THEN
[1353]	931	u_p(nzb,-1,:) = 0.0_wp
	932	v_p(nzb,0,:) = 0.0_wp
[978]	933	ELSE
	934	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	935	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	936	ENDIF
[1353]	937	w_p(nzb,-1,:) = 0.0_wp
[73]	938
[75]	939	!
[978]	940	!-- Top boundary at the outflow
	941	IF ( ibc_uv_t == 0 ) THEN
	942	u_p(nzt+1,-1,:) = u_init(nzt+1)
	943	v_p(nzt+1,0,:) = v_init(nzt+1)
	944	ELSE
[1742]	945	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	946	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	947	ENDIF
[1353]	948	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	949
[75]	950	ENDIF
[73]	951
[75]	952	ENDIF
[73]	953
[3182]	954	IF ( bc_radiation_n ) THEN
[73]	955
[1159]	956	IF ( use_cmax ) THEN
	957	u_p(:,ny+1,:) = u(:,ny,:)
	958	v_p(:,ny+1,:) = v(:,ny,:)
	959	w_p(:,ny+1,:) = w(:,ny,:)
	960	ELSEIF ( .NOT. use_cmax ) THEN
[75]	961
[978]	962	c_max = dy / dt_3d
[75]	963
[1353]	964	c_u_m_l = 0.0_wp
	965	c_v_m_l = 0.0_wp
	966	c_w_m_l = 0.0_wp
[978]	967
[1353]	968	c_u_m = 0.0_wp
	969	c_v_m = 0.0_wp
	970	c_w_m = 0.0_wp
[978]	971
[1]	972	!
[996]	973	!-- Calculate the phase speeds for u, v, and w, first local and then
	974	!-- average along the outflow boundary.
	975	DO k = nzb+1, nzt+1
	976	DO i = nxl, nxr
[73]	977
[106]	978	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	979
[1353]	980	IF ( denom /= 0.0_wp ) THEN
[996]	981	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	982	IF ( c_u(k,i) < 0.0_wp ) THEN
	983	c_u(k,i) = 0.0_wp
[106]	984	ELSEIF ( c_u(k,i) > c_max ) THEN
	985	c_u(k,i) = c_max
	986	ENDIF
	987	ELSE
	988	c_u(k,i) = c_max
[73]	989	ENDIF
	990
[106]	991	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	992
[1353]	993	IF ( denom /= 0.0_wp ) THEN
[996]	994	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	995	IF ( c_v(k,i) < 0.0_wp ) THEN
	996	c_v(k,i) = 0.0_wp
[106]	997	ELSEIF ( c_v(k,i) > c_max ) THEN
	998	c_v(k,i) = c_max
	999	ENDIF
	1000	ELSE
	1001	c_v(k,i) = c_max
[73]	1002	ENDIF
	1003
[106]	1004	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	1005
[1353]	1006	IF ( denom /= 0.0_wp ) THEN
[996]	1007	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1008	IF ( c_w(k,i) < 0.0_wp ) THEN
	1009	c_w(k,i) = 0.0_wp
[106]	1010	ELSEIF ( c_w(k,i) > c_max ) THEN
	1011	c_w(k,i) = c_max
	1012	ENDIF
	1013	ELSE
	1014	c_w(k,i) = c_max
[73]	1015	ENDIF
[106]	1016
[978]	1017	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1018	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1019	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1020
[978]	1021	ENDDO
	1022	ENDDO
[73]	1023
[978]	1024	#if defined( __parallel )
	1025	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1026	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1027	MPI_SUM, comm1dx, ierr )
	1028	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1029	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1030	MPI_SUM, comm1dx, ierr )
	1031	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1032	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1033	MPI_SUM, comm1dx, ierr )
	1034	#else
	1035	c_u_m = c_u_m_l
	1036	c_v_m = c_v_m_l
	1037	c_w_m = c_w_m_l
	1038	#endif
	1039
	1040	c_u_m = c_u_m / (nx+1)
	1041	c_v_m = c_v_m / (nx+1)
	1042	c_w_m = c_w_m / (nx+1)
	1043
[73]	1044	!
[978]	1045	!-- Save old timelevels for the next timestep
	1046	IF ( intermediate_timestep_count == 1 ) THEN
	1047	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1048	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1049	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1050	ENDIF
[73]	1051
[978]	1052	!
	1053	!-- Calculate the new velocities
[996]	1054	DO k = nzb+1, nzt+1
	1055	DO i = nxlg, nxrg
[978]	1056	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1057	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1058
[978]	1059	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1060	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1061
[978]	1062	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1063	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1064	ENDDO
[1]	1065	ENDDO
	1066
	1067	!
[978]	1068	!-- Bottom boundary at the outflow
	1069	IF ( ibc_uv_b == 0 ) THEN
[1353]	1070	u_p(nzb,ny+1,:) = 0.0_wp
	1071	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1072	ELSE
	1073	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1074	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1075	ENDIF
[1353]	1076	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1077
	1078	!
[978]	1079	!-- Top boundary at the outflow
	1080	IF ( ibc_uv_t == 0 ) THEN
	1081	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1082	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1083	ELSE
	1084	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1085	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1086	ENDIF
[1353]	1087	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1088
[1]	1089	ENDIF
	1090
[75]	1091	ENDIF
	1092
[3182]	1093	IF ( bc_radiation_l ) THEN
[75]	1094
[1159]	1095	IF ( use_cmax ) THEN
[1717]	1096	u_p(:,:,0) = u(:,:,1)
	1097	v_p(:,:,-1) = v(:,:,0)
[1159]	1098	w_p(:,:,-1) = w(:,:,0)
	1099	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1100
[978]	1101	c_max = dx / dt_3d
[75]	1102
[1353]	1103	c_u_m_l = 0.0_wp
	1104	c_v_m_l = 0.0_wp
	1105	c_w_m_l = 0.0_wp
[978]	1106
[1353]	1107	c_u_m = 0.0_wp
	1108	c_v_m = 0.0_wp
	1109	c_w_m = 0.0_wp
[978]	1110
[1]	1111	!
[996]	1112	!-- Calculate the phase speeds for u, v, and w, first local and then
	1113	!-- average along the outflow boundary.
	1114	DO k = nzb+1, nzt+1
	1115	DO j = nys, nyn
[75]	1116
[106]	1117	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1118
[1353]	1119	IF ( denom /= 0.0_wp ) THEN
[996]	1120	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1121	IF ( c_u(k,j) < 0.0_wp ) THEN
	1122	c_u(k,j) = 0.0_wp
[107]	1123	ELSEIF ( c_u(k,j) > c_max ) THEN
	1124	c_u(k,j) = c_max
[106]	1125	ENDIF
	1126	ELSE
[107]	1127	c_u(k,j) = c_max
[75]	1128	ENDIF
	1129
[106]	1130	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1131
[1353]	1132	IF ( denom /= 0.0_wp ) THEN
[996]	1133	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1134	IF ( c_v(k,j) < 0.0_wp ) THEN
	1135	c_v(k,j) = 0.0_wp
[106]	1136	ELSEIF ( c_v(k,j) > c_max ) THEN
	1137	c_v(k,j) = c_max
	1138	ENDIF
	1139	ELSE
	1140	c_v(k,j) = c_max
[75]	1141	ENDIF
	1142
[106]	1143	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1144
[1353]	1145	IF ( denom /= 0.0_wp ) THEN
[996]	1146	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1147	IF ( c_w(k,j) < 0.0_wp ) THEN
	1148	c_w(k,j) = 0.0_wp
[106]	1149	ELSEIF ( c_w(k,j) > c_max ) THEN
	1150	c_w(k,j) = c_max
	1151	ENDIF
	1152	ELSE
	1153	c_w(k,j) = c_max
[75]	1154	ENDIF
[106]	1155
[978]	1156	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1157	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1158	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1159
[978]	1160	ENDDO
	1161	ENDDO
[75]	1162
[978]	1163	#if defined( __parallel )
	1164	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1165	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1166	MPI_SUM, comm1dy, ierr )
	1167	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1168	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1169	MPI_SUM, comm1dy, ierr )
	1170	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1171	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1172	MPI_SUM, comm1dy, ierr )
	1173	#else
	1174	c_u_m = c_u_m_l
	1175	c_v_m = c_v_m_l
	1176	c_w_m = c_w_m_l
	1177	#endif
	1178
	1179	c_u_m = c_u_m / (ny+1)
	1180	c_v_m = c_v_m / (ny+1)
	1181	c_w_m = c_w_m / (ny+1)
	1182
[73]	1183	!
[978]	1184	!-- Save old timelevels for the next timestep
	1185	IF ( intermediate_timestep_count == 1 ) THEN
	1186	u_m_l(:,:,:) = u(:,:,1:2)
	1187	v_m_l(:,:,:) = v(:,:,0:1)
	1188	w_m_l(:,:,:) = w(:,:,0:1)
	1189	ENDIF
	1190
	1191	!
	1192	!-- Calculate the new velocities
[996]	1193	DO k = nzb+1, nzt+1
[1113]	1194	DO j = nysg, nyng
[978]	1195	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1196	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1197
[978]	1198	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1199	( v(k,j,-1) - v(k,j,0) ) * ddx
	1200
[978]	1201	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1202	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1203	ENDDO
[75]	1204	ENDDO
	1205
	1206	!
[978]	1207	!-- Bottom boundary at the outflow
	1208	IF ( ibc_uv_b == 0 ) THEN
[1353]	1209	u_p(nzb,:,0) = 0.0_wp
	1210	v_p(nzb,:,-1) = 0.0_wp
[978]	1211	ELSE
	1212	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1213	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1214	ENDIF
[1353]	1215	w_p(nzb,:,-1) = 0.0_wp
[1]	1216
[75]	1217	!
[978]	1218	!-- Top boundary at the outflow
	1219	IF ( ibc_uv_t == 0 ) THEN
[1764]	1220	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1221	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1222	ELSE
[1764]	1223	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1224	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1225	ENDIF
[1353]	1226	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1227
[75]	1228	ENDIF
[73]	1229
[75]	1230	ENDIF
[73]	1231
[3182]	1232	IF ( bc_radiation_r ) THEN
[73]	1233
[1159]	1234	IF ( use_cmax ) THEN
	1235	u_p(:,:,nx+1) = u(:,:,nx)
	1236	v_p(:,:,nx+1) = v(:,:,nx)
	1237	w_p(:,:,nx+1) = w(:,:,nx)
	1238	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1239
[978]	1240	c_max = dx / dt_3d
[75]	1241
[1353]	1242	c_u_m_l = 0.0_wp
	1243	c_v_m_l = 0.0_wp
	1244	c_w_m_l = 0.0_wp
[978]	1245
[1353]	1246	c_u_m = 0.0_wp
	1247	c_v_m = 0.0_wp
	1248	c_w_m = 0.0_wp
[978]	1249
[1]	1250	!
[996]	1251	!-- Calculate the phase speeds for u, v, and w, first local and then
	1252	!-- average along the outflow boundary.
	1253	DO k = nzb+1, nzt+1
	1254	DO j = nys, nyn
[73]	1255
[106]	1256	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1257
[1353]	1258	IF ( denom /= 0.0_wp ) THEN
[996]	1259	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1260	IF ( c_u(k,j) < 0.0_wp ) THEN
	1261	c_u(k,j) = 0.0_wp
[106]	1262	ELSEIF ( c_u(k,j) > c_max ) THEN
	1263	c_u(k,j) = c_max
	1264	ENDIF
	1265	ELSE
	1266	c_u(k,j) = c_max
[73]	1267	ENDIF
	1268
[106]	1269	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1270
[1353]	1271	IF ( denom /= 0.0_wp ) THEN
[996]	1272	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1273	IF ( c_v(k,j) < 0.0_wp ) THEN
	1274	c_v(k,j) = 0.0_wp
[106]	1275	ELSEIF ( c_v(k,j) > c_max ) THEN
	1276	c_v(k,j) = c_max
	1277	ENDIF
	1278	ELSE
	1279	c_v(k,j) = c_max
[73]	1280	ENDIF
	1281
[106]	1282	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1283
[1353]	1284	IF ( denom /= 0.0_wp ) THEN
[996]	1285	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1286	IF ( c_w(k,j) < 0.0_wp ) THEN
	1287	c_w(k,j) = 0.0_wp
[106]	1288	ELSEIF ( c_w(k,j) > c_max ) THEN
	1289	c_w(k,j) = c_max
	1290	ENDIF
	1291	ELSE
	1292	c_w(k,j) = c_max
[73]	1293	ENDIF
[106]	1294
[978]	1295	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1296	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1297	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1298
[978]	1299	ENDDO
	1300	ENDDO
[73]	1301
[978]	1302	#if defined( __parallel )
	1303	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1304	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1305	MPI_SUM, comm1dy, ierr )
	1306	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1307	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1308	MPI_SUM, comm1dy, ierr )
	1309	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1310	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1311	MPI_SUM, comm1dy, ierr )
	1312	#else
	1313	c_u_m = c_u_m_l
	1314	c_v_m = c_v_m_l
	1315	c_w_m = c_w_m_l
	1316	#endif
	1317
	1318	c_u_m = c_u_m / (ny+1)
	1319	c_v_m = c_v_m / (ny+1)
	1320	c_w_m = c_w_m / (ny+1)
	1321
[73]	1322	!
[978]	1323	!-- Save old timelevels for the next timestep
	1324	IF ( intermediate_timestep_count == 1 ) THEN
	1325	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1326	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1327	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1328	ENDIF
[73]	1329
[978]	1330	!
	1331	!-- Calculate the new velocities
[996]	1332	DO k = nzb+1, nzt+1
[1113]	1333	DO j = nysg, nyng
[978]	1334	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1335	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1336
[978]	1337	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1338	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1339
[978]	1340	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1341	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1342	ENDDO
[73]	1343	ENDDO
	1344
	1345	!
[978]	1346	!-- Bottom boundary at the outflow
	1347	IF ( ibc_uv_b == 0 ) THEN
[1353]	1348	u_p(nzb,:,nx+1) = 0.0_wp
	1349	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1350	ELSE
	1351	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1352	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1353	ENDIF
[1353]	1354	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1355
	1356	!
[978]	1357	!-- Top boundary at the outflow
	1358	IF ( ibc_uv_t == 0 ) THEN
	1359	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1360	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1361	ELSE
	1362	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1363	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1364	ENDIF
[1742]	1365	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1366
[1]	1367	ENDIF
	1368
	1369	ENDIF
	1370
	1371	END SUBROUTINE boundary_conds

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