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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3421

Last change on this file since 3421 was 3347, checked in by suehring, 6 years ago
Offline nesting revised and separated from large_scale_forcing_mod; Time-dependent synthetic turbulence generator; bugfixes in USM/LSM radiation model and init_pegrid
Property svn:keywords set to `Id`
File size: 46.6 KB

Rev	Line
[1682]	1	!> @file boundary_conds.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[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 3347 2018-10-15 14:21:08Z gronemeier $
[3347]	27	! Bugfix in setting boundary conditions in offline nesting
	28	!
	29	! 3341 2018-10-15 10:31:27Z suehring
[3294]	30	! changes concerning modularization of ocean option
	31	!
	32	! 3274 2018-09-24 15:42:55Z knoop
[3274]	33	! Modularization of all bulk cloud physics code components
	34	!
	35	! 3241 2018-09-12 15:02:00Z raasch
[3241]	36	! unused variables removed
	37	!
	38	! 3183 2018-07-27 14:25:55Z suehring
[3183]	39	! Rename some variables concerning LES-LES as well as offline nesting
	40	!
	41	! 3182 2018-07-27 13:36:03Z suehring
[3129]	42	! - Use wall function for e_p and diss_p in case of rans_tke_e
	43	! - move limitation of diss_p from tcm_prognostic
	44	!
	45	! 2938 2018-03-27 15:52:42Z suehring
[2938]	46	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	47	! and if parent model operates in RANS mode but child model in LES mode.
	48	! mode
	49	!
	50	! 2793 2018-02-07 10:54:33Z suehring
[2766]	51	! Removed preprocessor directive __chem
	52	!
	53	! 2718 2018-01-02 08:49:38Z maronga
[2716]	54	! Corrected "Former revisions" section
	55	!
	56	! 2696 2017-12-14 17:12:51Z kanani
	57	! Change in file header (GPL part)
[2696]	58	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	59	! Implementation of chemistry module (FK)
	60	!
	61	! 2569 2017-10-20 11:54:42Z kanani
[2569]	62	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	63	!
	64	! 2365 2017-08-21 14:59:59Z kanani
[2365]	65	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	66	! on fine grid (SadiqHuq)
	67	!
	68	! 2320 2017-07-21 12:47:43Z suehring
[2320]	69	! Remove unused control parameter large_scale_forcing from only-list
	70	!
	71	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	72	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	73	! includes two more prognostic equations for cloud drop concentration (nc)
	74	! and cloud water content (qc).
	75	!
	76	! 2233 2017-05-30 18:08:54Z suehring
[1321]	77	!
[2233]	78	! 2232 2017-05-30 17:47:52Z suehring
	79	! Set boundary conditions on topography top using flag method.
	80	!
[2119]	81	! 2118 2017-01-17 16:38:49Z raasch
	82	! OpenACC directives removed
	83	!
[2001]	84	! 2000 2016-08-20 18:09:15Z knoop
	85	! Forced header and separation lines into 80 columns
	86	!
[1993]	87	! 1992 2016-08-12 15:14:59Z suehring
	88	! Adjustments for top boundary condition for passive scalar
	89	!
[1961]	90	! 1960 2016-07-12 16:34:24Z suehring
	91	! Treat humidity and passive scalar separately
	92	!
[1933]	93	! 1823 2016-04-07 08:57:52Z hoffmann
	94	! Initial version of purely vertical nesting introduced.
	95	!
[1823]	96	! 1822 2016-04-07 07:49:42Z hoffmann
	97	! icloud_scheme removed. microphyisics_seifert added.
	98	!
[1765]	99	! 1764 2016-02-28 12:45:19Z raasch
	100	! index bug for u_p at left outflow removed
	101	!
[1763]	102	! 1762 2016-02-25 12:31:13Z hellstea
	103	! Introduction of nested domain feature
	104	!
[1744]	105	! 1742 2016-01-13 09:50:06Z raasch
	106	! bugfix for outflow Neumann boundary conditions at bottom and top
	107	!
[1718]	108	! 1717 2015-11-11 15:09:47Z raasch
	109	! Bugfix: index error in outflow conditions for left boundary
	110	!
[1683]	111	! 1682 2015-10-07 23:56:08Z knoop
	112	! Code annotations made doxygen readable
	113	!
[1717]	114	! 1410 2014-05-23 12:16:18Z suehring
[1463]	115	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	116	! top
	117	!
[1410]	118	! 1399 2014-05-07 11:16:25Z heinze
	119	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	120	! is used.
	121	!
[1399]	122	! 1398 2014-05-07 11:15:00Z heinze
	123	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	124	! for large_scale_forcing
	125	!
[1381]	126	! 1380 2014-04-28 12:40:45Z heinze
	127	! Adjust Dirichlet-condition at the top for pt in case of nudging
	128	!
[1362]	129	! 1361 2014-04-16 15:17:48Z hoffmann
	130	! Bottom and top boundary conditions of rain water content (qr) and
	131	! rain drop concentration (nr) changed to Dirichlet
	132	!
[1354]	133	! 1353 2014-04-08 15:21:23Z heinze
	134	! REAL constants provided with KIND-attribute
	135	!
[1321]	136	! 1320 2014-03-20 08:40:49Z raasch
[1320]	137	! ONLY-attribute added to USE-statements,
	138	! kind-parameters added to all INTEGER and REAL declaration statements,
	139	! kinds are defined in new module kinds,
	140	! revision history before 2012 removed,
	141	! comment fields (!:) to be used for variable explanations added to
	142	! all variable declaration statements
[1160]	143	!
[1258]	144	! 1257 2013-11-08 15:18:40Z raasch
	145	! loop independent clauses added
	146	!
[1242]	147	! 1241 2013-10-30 11:36:58Z heinze
	148	! Adjust ug and vg at each timestep in case of large_scale_forcing
	149	!
[1160]	150	! 1159 2013-05-21 11:58:22Z fricke
[1159]	151	! Bugfix: Neumann boundary conditions for the velocity components at the
	152	! outflow are in fact radiation boundary conditions using the maximum phase
	153	! velocity that ensures numerical stability (CFL-condition).
	154	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	155	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	156	! u_p, v_p, w_p
[1116]	157	!
	158	! 1115 2013-03-26 18:16:16Z hoffmann
	159	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	160	! boundary-conditions
	161	!
[1114]	162	! 1113 2013-03-10 02:48:14Z raasch
	163	! GPU-porting
	164	! dummy argument "range" removed
	165	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	166	!
[1054]	167	! 1053 2012-11-13 17:11:03Z hoffmann
	168	! boundary conditions for the two new prognostic equations (nr, qr) of the
	169	! two-moment cloud scheme
	170	!
[1037]	171	! 1036 2012-10-22 13:43:42Z raasch
	172	! code put under GPL (PALM 3.9)
	173	!
[997]	174	! 996 2012-09-07 10:41:47Z raasch
	175	! little reformatting
	176	!
[979]	177	! 978 2012-08-09 08:28:32Z fricke
	178	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	179	! Outflow boundary conditions for the velocity components can be set to Neumann
	180	! conditions or to radiation conditions with a horizontal averaged phase
	181	! velocity.
	182	!
[876]	183	! 875 2012-04-02 15:35:15Z gryschka
	184	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	185	!
[1]	186	! Revision 1.1 1997/09/12 06:21:34 raasch
	187	! Initial revision
	188	!
	189	!
	190	! Description:
	191	! ------------
[1682]	192	!> Boundary conditions for the prognostic quantities.
	193	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	194	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	195	!> handled in routine exchange_horiz. Pressure boundary conditions are
	196	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	197	!------------------------------------------------------------------------------!
[1682]	198	SUBROUTINE boundary_conds
	199
[1]	200
[1320]	201	USE arrays_3d, &
	202	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]	203	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	204	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	205	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, &
	206	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	207
[3274]	208	USE basic_constants_and_equations_mod, &
	209	ONLY: kappa
	210
[3294]	211	USE bulk_cloud_model_mod, &
	212	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
	213
[2696]	214	USE chemistry_model_mod, &
	215	ONLY: chem_boundary_conds
	216
[1320]	217	USE control_parameters, &
[3182]	218	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	219	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	220	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
[3274]	221	child_domain, constant_diffusion, coupling_mode, &
[3182]	222	dt_3d, humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
[3294]	223	ibc_s_t, ibc_uv_b, ibc_uv_t, &
	224	intermediate_timestep_count, nesting_offline, nudging, &
	225	ocean_mode, passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
[1320]	226
	227	USE grid_variables, &
	228	ONLY: ddx, ddy, dx, dy
	229
	230	USE indices, &
[3294]	231	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
[1320]	232
	233	USE kinds
	234
[3294]	235	USE ocean_mod, &
	236	ONLY: ibc_sa_t
[3274]	237
[1]	238	USE pegrid
	239
[1933]	240	USE pmc_interface, &
[2938]	241	ONLY : nesting_mode, rans_mode_parent
[1320]	242
[2232]	243	USE surface_mod, &
[3129]	244	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	245	surf_usm_h, surf_usm_v
[1933]	246
[3129]	247	USE turbulence_closure_mod, &
	248	ONLY: c_0
	249
[1]	250	IMPLICIT NONE
	251
[2232]	252	INTEGER(iwp) :: i !< grid index x direction
	253	INTEGER(iwp) :: j !< grid index y direction
	254	INTEGER(iwp) :: k !< grid index z direction
	255	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	256	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	257	INTEGER(iwp) :: m !< running index surface elements
[1]	258
[1682]	259	REAL(wp) :: c_max !<
	260	REAL(wp) :: denom !<
[1]	261
[73]	262
[1]	263	!
[1113]	264	!-- Bottom boundary
	265	IF ( ibc_uv_b == 1 ) THEN
	266	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	267	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	268	ENDIF
[2232]	269	!
	270	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	271	!-- of downward-facing surfaces.
	272	DO l = 0, 1
	273	!
	274	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	275	!-- for downward-facing surfaces at topography bottom (k+1).
	276	kb = MERGE( -1, 1, l == 0 )
	277	!$OMP PARALLEL DO PRIVATE( i, j, k )
	278	DO m = 1, bc_h(l)%ns
	279	i = bc_h(l)%i(m)
	280	j = bc_h(l)%j(m)
	281	k = bc_h(l)%k(m)
	282	w_p(k+kb,j,i) = 0.0_wp
[1113]	283	ENDDO
	284	ENDDO
	285
	286	!
[1762]	287	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	288	IF ( ibc_uv_t == 0 ) THEN
	289	u_p(nzt+1,:,:) = u_init(nzt+1)
	290	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	291	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	292	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	293	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	294	ENDIF
	295
[2365]	296	!
	297	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3347]	298	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
[2365]	299	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	300	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	301	ENDIF
	302
[1113]	303	!
[2232]	304	!-- Temperature at bottom and top boundary.
[1113]	305	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	306	!-- the sea surface temperature of the coupled ocean model.
[2232]	307	!-- Dirichlet
[1113]	308	IF ( ibc_pt_b == 0 ) THEN
[2232]	309	DO l = 0, 1
	310	!
	311	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	312	!-- for downward-facing surfaces at topography bottom (k+1).
	313	kb = MERGE( -1, 1, l == 0 )
	314	!$OMP PARALLEL DO PRIVATE( i, j, k )
	315	DO m = 1, bc_h(l)%ns
	316	i = bc_h(l)%i(m)
	317	j = bc_h(l)%j(m)
	318	k = bc_h(l)%k(m)
	319	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	320	ENDDO
	321	ENDDO
[2232]	322	!
	323	!-- Neumann, zero-gradient
[1113]	324	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	325	DO l = 0, 1
	326	!
	327	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	328	!-- for downward-facing surfaces at topography bottom (k+1).
	329	kb = MERGE( -1, 1, l == 0 )
	330	!$OMP PARALLEL DO PRIVATE( i, j, k )
	331	DO m = 1, bc_h(l)%ns
	332	i = bc_h(l)%i(m)
	333	j = bc_h(l)%j(m)
	334	k = bc_h(l)%k(m)
	335	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	336	ENDDO
	337	ENDDO
	338	ENDIF
[1]	339
	340	!
[1113]	341	!-- Temperature at top boundary
	342	IF ( ibc_pt_t == 0 ) THEN
	343	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	344	!
	345	!-- In case of nudging adjust top boundary to pt which is
	346	!-- read in from NUDGING-DATA
	347	IF ( nudging ) THEN
	348	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	349	ENDIF
[1113]	350	ELSEIF ( ibc_pt_t == 1 ) THEN
	351	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	352	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	353	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	354	ENDIF
[1]	355
	356	!
[2938]	357	!-- Boundary conditions for TKE.
	358	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	359	IF ( .NOT. constant_diffusion ) THEN
[2232]	360
[2696]	361	IF ( .NOT. rans_tke_e ) THEN
	362	DO l = 0, 1
[2232]	363	!
[2696]	364	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	365	!-- for downward-facing surfaces at topography bottom (k+1).
	366	kb = MERGE( -1, 1, l == 0 )
	367	!$OMP PARALLEL DO PRIVATE( i, j, k )
	368	DO m = 1, bc_h(l)%ns
	369	i = bc_h(l)%i(m)
	370	j = bc_h(l)%j(m)
	371	k = bc_h(l)%k(m)
	372	e_p(k+kb,j,i) = e_p(k,j,i)
	373	ENDDO
[73]	374	ENDDO
[3129]	375	ELSE
	376	!
	377	!-- Use wall function within constant-flux layer
	378	!-- Upward-facing surfaces
	379	!-- Default surfaces
	380	DO m = 1, surf_def_h(0)%ns
	381	i = surf_def_h(0)%i(m)
	382	j = surf_def_h(0)%j(m)
	383	k = surf_def_h(0)%k(m)
	384	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	385	ENDDO
	386	!
	387	!-- Natural surfaces
	388	DO m = 1, surf_lsm_h%ns
	389	i = surf_lsm_h%i(m)
	390	j = surf_lsm_h%j(m)
	391	k = surf_lsm_h%k(m)
	392	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	393	ENDDO
	394	!
	395	!-- Urban surfaces
	396	DO m = 1, surf_usm_h%ns
	397	i = surf_usm_h%i(m)
	398	j = surf_usm_h%j(m)
	399	k = surf_usm_h%k(m)
	400	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	401	ENDDO
	402	!
	403	!-- Vertical surfaces
	404	DO l = 0, 3
	405	!
	406	!-- Default surfaces
	407	DO m = 1, surf_def_v(l)%ns
	408	i = surf_def_v(l)%i(m)
	409	j = surf_def_v(l)%j(m)
	410	k = surf_def_v(l)%k(m)
	411	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	412	ENDDO
	413	!
	414	!-- Natural surfaces
	415	DO m = 1, surf_lsm_v(l)%ns
	416	i = surf_lsm_v(l)%i(m)
	417	j = surf_lsm_v(l)%j(m)
	418	k = surf_lsm_v(l)%k(m)
	419	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	420	ENDDO
	421	!
	422	!-- Urban surfaces
	423	DO m = 1, surf_usm_v(l)%ns
	424	i = surf_usm_v(l)%i(m)
	425	j = surf_usm_v(l)%j(m)
	426	k = surf_usm_v(l)%k(m)
	427	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	428	ENDDO
	429	ENDDO
[2696]	430	ENDIF
[2232]	431
[3182]	432	IF ( .NOT. child_domain ) THEN
[1762]	433	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[2938]	434	!
	435	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	436	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	437	!-- top child boundaries.
	438	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	439	!-- is treated in the nesting.
	440	ELSE
	441
	442	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	443
	444	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	445	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	446	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	447	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	448	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	449
	450	ENDIF
[1762]	451	ENDIF
[1113]	452	ENDIF
	453
	454	!
[2938]	455	!-- Boundary conditions for TKE dissipation rate.
[3129]	456	IF ( rans_tke_e ) THEN
	457	!
	458	!-- Use wall function within constant-flux layer
	459	!-- Upward-facing surfaces
	460	!-- Default surfaces
	461	DO m = 1, surf_def_h(0)%ns
	462	i = surf_def_h(0)%i(m)
	463	j = surf_def_h(0)%j(m)
	464	k = surf_def_h(0)%k(m)
	465	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	466	/ ( kappa * surf_def_h(0)%z_mo(m) )
	467	ENDDO
	468	!
	469	!-- Natural surfaces
	470	DO m = 1, surf_lsm_h%ns
	471	i = surf_lsm_h%i(m)
	472	j = surf_lsm_h%j(m)
	473	k = surf_lsm_h%k(m)
	474	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	475	/ ( kappa * surf_lsm_h%z_mo(m) )
	476	ENDDO
	477	!
	478	!-- Urban surfaces
	479	DO m = 1, surf_usm_h%ns
	480	i = surf_usm_h%i(m)
	481	j = surf_usm_h%j(m)
	482	k = surf_usm_h%k(m)
	483	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	484	/ ( kappa * surf_usm_h%z_mo(m) )
	485	ENDDO
	486	!
	487	!-- Vertical surfaces
	488	DO l = 0, 3
	489	!
	490	!-- Default surfaces
	491	DO m = 1, surf_def_v(l)%ns
	492	i = surf_def_v(l)%i(m)
	493	j = surf_def_v(l)%j(m)
	494	k = surf_def_v(l)%k(m)
	495	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	496	/ ( kappa * surf_def_v(l)%z_mo(m) )
	497	ENDDO
	498	!
	499	!-- Natural surfaces
	500	DO m = 1, surf_lsm_v(l)%ns
	501	i = surf_lsm_v(l)%i(m)
	502	j = surf_lsm_v(l)%j(m)
	503	k = surf_lsm_v(l)%k(m)
	504	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	505	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	506	ENDDO
	507	!
	508	!-- Urban surfaces
	509	DO m = 1, surf_usm_v(l)%ns
	510	i = surf_usm_v(l)%i(m)
	511	j = surf_usm_v(l)%j(m)
	512	k = surf_usm_v(l)%k(m)
	513	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	514	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	515	ENDDO
	516	ENDDO
	517	!
	518	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	519	!-- minimum value
	520	DO i = nxl, nxr
	521	DO j = nys, nyn
	522	DO k = nzb, nzt+1
	523	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	524	2.0_wp * diss(k,j,i) ), &
	525	0.1_wp * diss(k,j,i), &
	526	0.0001_wp )
	527	ENDDO
	528	ENDDO
	529	ENDDO
	530
[3182]	531	IF ( .NOT. child_domain ) THEN
[3129]	532	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	533	ENDIF
[2696]	534	ENDIF
	535
	536	!
[1113]	537	!-- Boundary conditions for salinity
[3294]	538	IF ( ocean_mode ) THEN
[1113]	539	!
	540	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	541	!-- given.
	542	DO l = 0, 1
	543	!
	544	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	545	!-- for downward-facing surfaces at topography bottom (k+1).
	546	kb = MERGE( -1, 1, l == 0 )
	547	!$OMP PARALLEL DO PRIVATE( i, j, k )
	548	DO m = 1, bc_h(l)%ns
	549	i = bc_h(l)%i(m)
	550	j = bc_h(l)%j(m)
	551	k = bc_h(l)%k(m)
	552	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	553	ENDDO
[1113]	554	ENDDO
[1]	555	!
[1113]	556	!-- Top boundary: Dirichlet or Neumann
	557	IF ( ibc_sa_t == 0 ) THEN
	558	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	559	ELSEIF ( ibc_sa_t == 1 ) THEN
	560	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	561	ENDIF
	562
[1113]	563	ENDIF
	564
[1]	565	!
[1960]	566	!-- Boundary conditions for total water content,
[1113]	567	!-- bottom and top boundary (see also temperature)
[1960]	568	IF ( humidity ) THEN
[1113]	569	!
	570	!-- Surface conditions for constant_humidity_flux
[2232]	571	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	572	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	573	!-- q_p at k-1
[1113]	574	IF ( ibc_q_b == 0 ) THEN
[2232]	575
	576	DO l = 0, 1
	577	!
	578	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	579	!-- for downward-facing surfaces at topography bottom (k+1).
	580	kb = MERGE( -1, 1, l == 0 )
	581	!$OMP PARALLEL DO PRIVATE( i, j, k )
	582	DO m = 1, bc_h(l)%ns
	583	i = bc_h(l)%i(m)
	584	j = bc_h(l)%j(m)
	585	k = bc_h(l)%k(m)
	586	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	587	ENDDO
	588	ENDDO
[2232]	589
[1113]	590	ELSE
[2232]	591
	592	DO l = 0, 1
	593	!
	594	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	595	!-- for downward-facing surfaces at topography bottom (k+1).
	596	kb = MERGE( -1, 1, l == 0 )
	597	!$OMP PARALLEL DO PRIVATE( i, j, k )
	598	DO m = 1, bc_h(l)%ns
	599	i = bc_h(l)%i(m)
	600	j = bc_h(l)%j(m)
	601	k = bc_h(l)%k(m)
	602	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	603	ENDDO
	604	ENDDO
[1113]	605	ENDIF
[95]	606	!
[1113]	607	!-- Top boundary
[1462]	608	IF ( ibc_q_t == 0 ) THEN
	609	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	610	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	611	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	612	ENDIF
[95]	613
[3274]	614	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	615	!
	616	!-- Surface conditions cloud water (Dirichlet)
	617	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	618	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	619	!-- qr_p and nr_p at k-1
	620	!$OMP PARALLEL DO PRIVATE( i, j, k )
	621	DO m = 1, bc_h(0)%ns
	622	i = bc_h(0)%i(m)
	623	j = bc_h(0)%j(m)
	624	k = bc_h(0)%k(m)
	625	qc_p(k-1,j,i) = 0.0_wp
	626	nc_p(k-1,j,i) = 0.0_wp
	627	ENDDO
	628	!
	629	!-- Top boundary condition for cloud water (Dirichlet)
	630	qc_p(nzt+1,:,:) = 0.0_wp
	631	nc_p(nzt+1,:,:) = 0.0_wp
	632
	633	ENDIF
	634
[3274]	635	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1113]	636	!
[1361]	637	!-- Surface conditions rain water (Dirichlet)
[2232]	638	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	639	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	640	!-- qr_p and nr_p at k-1
	641	!$OMP PARALLEL DO PRIVATE( i, j, k )
	642	DO m = 1, bc_h(0)%ns
	643	i = bc_h(0)%i(m)
	644	j = bc_h(0)%j(m)
	645	k = bc_h(0)%k(m)
	646	qr_p(k-1,j,i) = 0.0_wp
	647	nr_p(k-1,j,i) = 0.0_wp
[1115]	648	ENDDO
[1]	649	!
[1361]	650	!-- Top boundary condition for rain water (Dirichlet)
	651	qr_p(nzt+1,:,:) = 0.0_wp
	652	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	653
[1]	654	ENDIF
[1409]	655	ENDIF
[1]	656	!
[1960]	657	!-- Boundary conditions for scalar,
	658	!-- bottom and top boundary (see also temperature)
	659	IF ( passive_scalar ) THEN
	660	!
	661	!-- Surface conditions for constant_humidity_flux
[2232]	662	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	663	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	664	!-- s_p at k-1
[1960]	665	IF ( ibc_s_b == 0 ) THEN
[2232]	666
	667	DO l = 0, 1
	668	!
	669	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	670	!-- for downward-facing surfaces at topography bottom (k+1).
	671	kb = MERGE( -1, 1, l == 0 )
	672	!$OMP PARALLEL DO PRIVATE( i, j, k )
	673	DO m = 1, bc_h(l)%ns
	674	i = bc_h(l)%i(m)
	675	j = bc_h(l)%j(m)
	676	k = bc_h(l)%k(m)
	677	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	678	ENDDO
	679	ENDDO
[2232]	680
[1960]	681	ELSE
[2232]	682
	683	DO l = 0, 1
	684	!
	685	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	686	!-- for downward-facing surfaces at topography bottom (k+1).
	687	kb = MERGE( -1, 1, l == 0 )
	688	!$OMP PARALLEL DO PRIVATE( i, j, k )
	689	DO m = 1, bc_h(l)%ns
	690	i = bc_h(l)%i(m)
	691	j = bc_h(l)%j(m)
	692	k = bc_h(l)%k(m)
	693	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	694	ENDDO
	695	ENDDO
	696	ENDIF
	697	!
[1992]	698	!-- Top boundary condition
	699	IF ( ibc_s_t == 0 ) THEN
[1960]	700	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	701	ELSEIF ( ibc_s_t == 1 ) THEN
	702	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	703	ELSEIF ( ibc_s_t == 2 ) THEN
	704	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	705	ENDIF
	706
	707	ENDIF
	708	!
[2696]	709	!-- Top/bottom boundary conditions for chemical species
	710	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	711	!
[1762]	712	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	713	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	714	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	715	!-- version) these levels are handled as a prognostic level, boundary values
	716	!-- have to be restored here.
[1409]	717	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	718	IF ( bc_dirichlet_s ) THEN
[1409]	719	v_p(:,nys,:) = v_p(:,nys-1,:)
	720	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	721	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	722	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	723	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	724	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	725	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	726	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	727	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	728	ENDIF
[1]	729
	730	!
[1762]	731	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	732	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	733	!-- mode as in that case the lateral boundaries are actually cyclic.
	734	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	735	IF ( bc_dirichlet_s ) THEN
[1933]	736	v_p(:,nys,:) = v_p(:,nys-1,:)
	737	ENDIF
[3182]	738	IF ( bc_dirichlet_l ) THEN
[1933]	739	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	740	ENDIF
[1762]	741	ENDIF
	742
	743	!
[1409]	744	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	745	IF ( bc_radiation_s ) THEN
[1409]	746	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	747	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	748	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	749	IF ( humidity ) THEN
[1409]	750	q_p(:,nys-1,:) = q_p(:,nys,:)
[3274]	751	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	752	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	753	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	754	ENDIF
[3274]	755	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	756	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	757	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	758	ENDIF
[1409]	759	ENDIF
[1960]	760	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	761	ELSEIF ( bc_radiation_n ) THEN
[1409]	762	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	763	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	764	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	765	IF ( humidity ) THEN
[1409]	766	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[3274]	767	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	768	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	769	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	770	ENDIF
[3274]	771	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	772	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	773	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	774	ENDIF
[1409]	775	ENDIF
[1960]	776	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	777	ELSEIF ( bc_radiation_l ) THEN
[1409]	778	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	779	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	780	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	781	IF ( humidity ) THEN
[1409]	782	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[3274]	783	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	784	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	785	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	786	ENDIF
[3274]	787	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	788	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	789	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	790	ENDIF
[1409]	791	ENDIF
[1960]	792	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	793	ELSEIF ( bc_radiation_r ) THEN
[1409]	794	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	795	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	796	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	797	IF ( humidity ) THEN
[1409]	798	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[3274]	799	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	800	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	801	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	802	ENDIF
[3274]	803	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	804	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	805	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	806	ENDIF
[1]	807	ENDIF
[1960]	808	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	809	ENDIF
	810
	811	!
[2696]	812	!-- Lateral boundary conditions for chemical species
	813	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	814
	815	!
[1159]	816	!-- Radiation boundary conditions for the velocities at the respective outflow.
	817	!-- The phase velocity is either assumed to the maximum phase velocity that
	818	!-- ensures numerical stability (CFL-condition) or calculated after
	819	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	820	IF ( bc_radiation_s ) THEN
[75]	821
[1159]	822	IF ( use_cmax ) THEN
	823	u_p(:,-1,:) = u(:,0,:)
	824	v_p(:,0,:) = v(:,1,:)
	825	w_p(:,-1,:) = w(:,0,:)
	826	ELSEIF ( .NOT. use_cmax ) THEN
[75]	827
[978]	828	c_max = dy / dt_3d
[75]	829
[1353]	830	c_u_m_l = 0.0_wp
	831	c_v_m_l = 0.0_wp
	832	c_w_m_l = 0.0_wp
[978]	833
[1353]	834	c_u_m = 0.0_wp
	835	c_v_m = 0.0_wp
	836	c_w_m = 0.0_wp
[978]	837
[75]	838	!
[996]	839	!-- Calculate the phase speeds for u, v, and w, first local and then
	840	!-- average along the outflow boundary.
	841	DO k = nzb+1, nzt+1
	842	DO i = nxl, nxr
[75]	843
[106]	844	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	845
[1353]	846	IF ( denom /= 0.0_wp ) THEN
[996]	847	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	848	IF ( c_u(k,i) < 0.0_wp ) THEN
	849	c_u(k,i) = 0.0_wp
[106]	850	ELSEIF ( c_u(k,i) > c_max ) THEN
	851	c_u(k,i) = c_max
	852	ENDIF
	853	ELSE
	854	c_u(k,i) = c_max
[75]	855	ENDIF
	856
[106]	857	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	858
[1353]	859	IF ( denom /= 0.0_wp ) THEN
[996]	860	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	861	IF ( c_v(k,i) < 0.0_wp ) THEN
	862	c_v(k,i) = 0.0_wp
[106]	863	ELSEIF ( c_v(k,i) > c_max ) THEN
	864	c_v(k,i) = c_max
	865	ENDIF
	866	ELSE
	867	c_v(k,i) = c_max
[75]	868	ENDIF
	869
[106]	870	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	871
[1353]	872	IF ( denom /= 0.0_wp ) THEN
[996]	873	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	874	IF ( c_w(k,i) < 0.0_wp ) THEN
	875	c_w(k,i) = 0.0_wp
[106]	876	ELSEIF ( c_w(k,i) > c_max ) THEN
	877	c_w(k,i) = c_max
	878	ENDIF
	879	ELSE
	880	c_w(k,i) = c_max
[75]	881	ENDIF
[106]	882
[978]	883	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	884	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	885	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	886
[978]	887	ENDDO
	888	ENDDO
[75]	889
[978]	890	#if defined( __parallel )
	891	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	892	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	893	MPI_SUM, comm1dx, ierr )
	894	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	895	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	896	MPI_SUM, comm1dx, ierr )
	897	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	898	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	899	MPI_SUM, comm1dx, ierr )
	900	#else
	901	c_u_m = c_u_m_l
	902	c_v_m = c_v_m_l
	903	c_w_m = c_w_m_l
	904	#endif
	905
	906	c_u_m = c_u_m / (nx+1)
	907	c_v_m = c_v_m / (nx+1)
	908	c_w_m = c_w_m / (nx+1)
	909
[75]	910	!
[978]	911	!-- Save old timelevels for the next timestep
	912	IF ( intermediate_timestep_count == 1 ) THEN
	913	u_m_s(:,:,:) = u(:,0:1,:)
	914	v_m_s(:,:,:) = v(:,1:2,:)
	915	w_m_s(:,:,:) = w(:,0:1,:)
	916	ENDIF
	917
	918	!
	919	!-- Calculate the new velocities
[996]	920	DO k = nzb+1, nzt+1
	921	DO i = nxlg, nxrg
[978]	922	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	923	( u(k,-1,i) - u(k,0,i) ) * ddy
	924
[978]	925	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	926	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	927
[978]	928	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	929	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	930	ENDDO
[75]	931	ENDDO
	932
	933	!
[978]	934	!-- Bottom boundary at the outflow
	935	IF ( ibc_uv_b == 0 ) THEN
[1353]	936	u_p(nzb,-1,:) = 0.0_wp
	937	v_p(nzb,0,:) = 0.0_wp
[978]	938	ELSE
	939	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	940	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	941	ENDIF
[1353]	942	w_p(nzb,-1,:) = 0.0_wp
[73]	943
[75]	944	!
[978]	945	!-- Top boundary at the outflow
	946	IF ( ibc_uv_t == 0 ) THEN
	947	u_p(nzt+1,-1,:) = u_init(nzt+1)
	948	v_p(nzt+1,0,:) = v_init(nzt+1)
	949	ELSE
[1742]	950	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	951	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	952	ENDIF
[1353]	953	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	954
[75]	955	ENDIF
[73]	956
[75]	957	ENDIF
[73]	958
[3182]	959	IF ( bc_radiation_n ) THEN
[73]	960
[1159]	961	IF ( use_cmax ) THEN
	962	u_p(:,ny+1,:) = u(:,ny,:)
	963	v_p(:,ny+1,:) = v(:,ny,:)
	964	w_p(:,ny+1,:) = w(:,ny,:)
	965	ELSEIF ( .NOT. use_cmax ) THEN
[75]	966
[978]	967	c_max = dy / dt_3d
[75]	968
[1353]	969	c_u_m_l = 0.0_wp
	970	c_v_m_l = 0.0_wp
	971	c_w_m_l = 0.0_wp
[978]	972
[1353]	973	c_u_m = 0.0_wp
	974	c_v_m = 0.0_wp
	975	c_w_m = 0.0_wp
[978]	976
[1]	977	!
[996]	978	!-- Calculate the phase speeds for u, v, and w, first local and then
	979	!-- average along the outflow boundary.
	980	DO k = nzb+1, nzt+1
	981	DO i = nxl, nxr
[73]	982
[106]	983	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	984
[1353]	985	IF ( denom /= 0.0_wp ) THEN
[996]	986	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	987	IF ( c_u(k,i) < 0.0_wp ) THEN
	988	c_u(k,i) = 0.0_wp
[106]	989	ELSEIF ( c_u(k,i) > c_max ) THEN
	990	c_u(k,i) = c_max
	991	ENDIF
	992	ELSE
	993	c_u(k,i) = c_max
[73]	994	ENDIF
	995
[106]	996	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	997
[1353]	998	IF ( denom /= 0.0_wp ) THEN
[996]	999	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1000	IF ( c_v(k,i) < 0.0_wp ) THEN
	1001	c_v(k,i) = 0.0_wp
[106]	1002	ELSEIF ( c_v(k,i) > c_max ) THEN
	1003	c_v(k,i) = c_max
	1004	ENDIF
	1005	ELSE
	1006	c_v(k,i) = c_max
[73]	1007	ENDIF
	1008
[106]	1009	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	1010
[1353]	1011	IF ( denom /= 0.0_wp ) THEN
[996]	1012	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1013	IF ( c_w(k,i) < 0.0_wp ) THEN
	1014	c_w(k,i) = 0.0_wp
[106]	1015	ELSEIF ( c_w(k,i) > c_max ) THEN
	1016	c_w(k,i) = c_max
	1017	ENDIF
	1018	ELSE
	1019	c_w(k,i) = c_max
[73]	1020	ENDIF
[106]	1021
[978]	1022	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1023	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1024	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1025
[978]	1026	ENDDO
	1027	ENDDO
[73]	1028
[978]	1029	#if defined( __parallel )
	1030	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1031	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1032	MPI_SUM, comm1dx, ierr )
	1033	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1034	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1035	MPI_SUM, comm1dx, ierr )
	1036	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1037	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1038	MPI_SUM, comm1dx, ierr )
	1039	#else
	1040	c_u_m = c_u_m_l
	1041	c_v_m = c_v_m_l
	1042	c_w_m = c_w_m_l
	1043	#endif
	1044
	1045	c_u_m = c_u_m / (nx+1)
	1046	c_v_m = c_v_m / (nx+1)
	1047	c_w_m = c_w_m / (nx+1)
	1048
[73]	1049	!
[978]	1050	!-- Save old timelevels for the next timestep
	1051	IF ( intermediate_timestep_count == 1 ) THEN
	1052	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1053	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1054	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1055	ENDIF
[73]	1056
[978]	1057	!
	1058	!-- Calculate the new velocities
[996]	1059	DO k = nzb+1, nzt+1
	1060	DO i = nxlg, nxrg
[978]	1061	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1062	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1063
[978]	1064	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1065	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1066
[978]	1067	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1068	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1069	ENDDO
[1]	1070	ENDDO
	1071
	1072	!
[978]	1073	!-- Bottom boundary at the outflow
	1074	IF ( ibc_uv_b == 0 ) THEN
[1353]	1075	u_p(nzb,ny+1,:) = 0.0_wp
	1076	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1077	ELSE
	1078	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1079	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1080	ENDIF
[1353]	1081	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1082
	1083	!
[978]	1084	!-- Top boundary at the outflow
	1085	IF ( ibc_uv_t == 0 ) THEN
	1086	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1087	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1088	ELSE
	1089	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1090	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1091	ENDIF
[1353]	1092	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1093
[1]	1094	ENDIF
	1095
[75]	1096	ENDIF
	1097
[3182]	1098	IF ( bc_radiation_l ) THEN
[75]	1099
[1159]	1100	IF ( use_cmax ) THEN
[1717]	1101	u_p(:,:,0) = u(:,:,1)
	1102	v_p(:,:,-1) = v(:,:,0)
[1159]	1103	w_p(:,:,-1) = w(:,:,0)
	1104	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1105
[978]	1106	c_max = dx / dt_3d
[75]	1107
[1353]	1108	c_u_m_l = 0.0_wp
	1109	c_v_m_l = 0.0_wp
	1110	c_w_m_l = 0.0_wp
[978]	1111
[1353]	1112	c_u_m = 0.0_wp
	1113	c_v_m = 0.0_wp
	1114	c_w_m = 0.0_wp
[978]	1115
[1]	1116	!
[996]	1117	!-- Calculate the phase speeds for u, v, and w, first local and then
	1118	!-- average along the outflow boundary.
	1119	DO k = nzb+1, nzt+1
	1120	DO j = nys, nyn
[75]	1121
[106]	1122	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1123
[1353]	1124	IF ( denom /= 0.0_wp ) THEN
[996]	1125	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1126	IF ( c_u(k,j) < 0.0_wp ) THEN
	1127	c_u(k,j) = 0.0_wp
[107]	1128	ELSEIF ( c_u(k,j) > c_max ) THEN
	1129	c_u(k,j) = c_max
[106]	1130	ENDIF
	1131	ELSE
[107]	1132	c_u(k,j) = c_max
[75]	1133	ENDIF
	1134
[106]	1135	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1136
[1353]	1137	IF ( denom /= 0.0_wp ) THEN
[996]	1138	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1139	IF ( c_v(k,j) < 0.0_wp ) THEN
	1140	c_v(k,j) = 0.0_wp
[106]	1141	ELSEIF ( c_v(k,j) > c_max ) THEN
	1142	c_v(k,j) = c_max
	1143	ENDIF
	1144	ELSE
	1145	c_v(k,j) = c_max
[75]	1146	ENDIF
	1147
[106]	1148	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1149
[1353]	1150	IF ( denom /= 0.0_wp ) THEN
[996]	1151	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1152	IF ( c_w(k,j) < 0.0_wp ) THEN
	1153	c_w(k,j) = 0.0_wp
[106]	1154	ELSEIF ( c_w(k,j) > c_max ) THEN
	1155	c_w(k,j) = c_max
	1156	ENDIF
	1157	ELSE
	1158	c_w(k,j) = c_max
[75]	1159	ENDIF
[106]	1160
[978]	1161	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1162	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1163	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1164
[978]	1165	ENDDO
	1166	ENDDO
[75]	1167
[978]	1168	#if defined( __parallel )
	1169	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1170	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1171	MPI_SUM, comm1dy, ierr )
	1172	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1173	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1174	MPI_SUM, comm1dy, ierr )
	1175	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1176	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1177	MPI_SUM, comm1dy, ierr )
	1178	#else
	1179	c_u_m = c_u_m_l
	1180	c_v_m = c_v_m_l
	1181	c_w_m = c_w_m_l
	1182	#endif
	1183
	1184	c_u_m = c_u_m / (ny+1)
	1185	c_v_m = c_v_m / (ny+1)
	1186	c_w_m = c_w_m / (ny+1)
	1187
[73]	1188	!
[978]	1189	!-- Save old timelevels for the next timestep
	1190	IF ( intermediate_timestep_count == 1 ) THEN
	1191	u_m_l(:,:,:) = u(:,:,1:2)
	1192	v_m_l(:,:,:) = v(:,:,0:1)
	1193	w_m_l(:,:,:) = w(:,:,0:1)
	1194	ENDIF
	1195
	1196	!
	1197	!-- Calculate the new velocities
[996]	1198	DO k = nzb+1, nzt+1
[1113]	1199	DO j = nysg, nyng
[978]	1200	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1201	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1202
[978]	1203	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1204	( v(k,j,-1) - v(k,j,0) ) * ddx
	1205
[978]	1206	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1207	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1208	ENDDO
[75]	1209	ENDDO
	1210
	1211	!
[978]	1212	!-- Bottom boundary at the outflow
	1213	IF ( ibc_uv_b == 0 ) THEN
[1353]	1214	u_p(nzb,:,0) = 0.0_wp
	1215	v_p(nzb,:,-1) = 0.0_wp
[978]	1216	ELSE
	1217	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1218	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1219	ENDIF
[1353]	1220	w_p(nzb,:,-1) = 0.0_wp
[1]	1221
[75]	1222	!
[978]	1223	!-- Top boundary at the outflow
	1224	IF ( ibc_uv_t == 0 ) THEN
[1764]	1225	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1226	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1227	ELSE
[1764]	1228	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1229	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1230	ENDIF
[1353]	1231	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1232
[75]	1233	ENDIF
[73]	1234
[75]	1235	ENDIF
[73]	1236
[3182]	1237	IF ( bc_radiation_r ) THEN
[73]	1238
[1159]	1239	IF ( use_cmax ) THEN
	1240	u_p(:,:,nx+1) = u(:,:,nx)
	1241	v_p(:,:,nx+1) = v(:,:,nx)
	1242	w_p(:,:,nx+1) = w(:,:,nx)
	1243	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1244
[978]	1245	c_max = dx / dt_3d
[75]	1246
[1353]	1247	c_u_m_l = 0.0_wp
	1248	c_v_m_l = 0.0_wp
	1249	c_w_m_l = 0.0_wp
[978]	1250
[1353]	1251	c_u_m = 0.0_wp
	1252	c_v_m = 0.0_wp
	1253	c_w_m = 0.0_wp
[978]	1254
[1]	1255	!
[996]	1256	!-- Calculate the phase speeds for u, v, and w, first local and then
	1257	!-- average along the outflow boundary.
	1258	DO k = nzb+1, nzt+1
	1259	DO j = nys, nyn
[73]	1260
[106]	1261	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1262
[1353]	1263	IF ( denom /= 0.0_wp ) THEN
[996]	1264	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1265	IF ( c_u(k,j) < 0.0_wp ) THEN
	1266	c_u(k,j) = 0.0_wp
[106]	1267	ELSEIF ( c_u(k,j) > c_max ) THEN
	1268	c_u(k,j) = c_max
	1269	ENDIF
	1270	ELSE
	1271	c_u(k,j) = c_max
[73]	1272	ENDIF
	1273
[106]	1274	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1275
[1353]	1276	IF ( denom /= 0.0_wp ) THEN
[996]	1277	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1278	IF ( c_v(k,j) < 0.0_wp ) THEN
	1279	c_v(k,j) = 0.0_wp
[106]	1280	ELSEIF ( c_v(k,j) > c_max ) THEN
	1281	c_v(k,j) = c_max
	1282	ENDIF
	1283	ELSE
	1284	c_v(k,j) = c_max
[73]	1285	ENDIF
	1286
[106]	1287	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1288
[1353]	1289	IF ( denom /= 0.0_wp ) THEN
[996]	1290	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1291	IF ( c_w(k,j) < 0.0_wp ) THEN
	1292	c_w(k,j) = 0.0_wp
[106]	1293	ELSEIF ( c_w(k,j) > c_max ) THEN
	1294	c_w(k,j) = c_max
	1295	ENDIF
	1296	ELSE
	1297	c_w(k,j) = c_max
[73]	1298	ENDIF
[106]	1299
[978]	1300	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1301	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1302	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1303
[978]	1304	ENDDO
	1305	ENDDO
[73]	1306
[978]	1307	#if defined( __parallel )
	1308	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1309	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1310	MPI_SUM, comm1dy, ierr )
	1311	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1312	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1313	MPI_SUM, comm1dy, ierr )
	1314	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1315	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1316	MPI_SUM, comm1dy, ierr )
	1317	#else
	1318	c_u_m = c_u_m_l
	1319	c_v_m = c_v_m_l
	1320	c_w_m = c_w_m_l
	1321	#endif
	1322
	1323	c_u_m = c_u_m / (ny+1)
	1324	c_v_m = c_v_m / (ny+1)
	1325	c_w_m = c_w_m / (ny+1)
	1326
[73]	1327	!
[978]	1328	!-- Save old timelevels for the next timestep
	1329	IF ( intermediate_timestep_count == 1 ) THEN
	1330	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1331	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1332	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1333	ENDIF
[73]	1334
[978]	1335	!
	1336	!-- Calculate the new velocities
[996]	1337	DO k = nzb+1, nzt+1
[1113]	1338	DO j = nysg, nyng
[978]	1339	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1340	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1341
[978]	1342	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1343	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1344
[978]	1345	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1346	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1347	ENDDO
[73]	1348	ENDDO
	1349
	1350	!
[978]	1351	!-- Bottom boundary at the outflow
	1352	IF ( ibc_uv_b == 0 ) THEN
[1353]	1353	u_p(nzb,:,nx+1) = 0.0_wp
	1354	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1355	ELSE
	1356	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1357	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1358	ENDIF
[1353]	1359	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1360
	1361	!
[978]	1362	!-- Top boundary at the outflow
	1363	IF ( ibc_uv_t == 0 ) THEN
	1364	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1365	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1366	ELSE
	1367	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1368	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1369	ENDIF
[1742]	1370	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1371
[1]	1372	ENDIF
	1373
	1374	ENDIF
	1375
	1376	END SUBROUTINE boundary_conds

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