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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3255

Last change on this file since 3255 was 3241, checked in by raasch, 6 years ago
various changes to avoid compiler warnings (mainly removal of unused variables)
Property svn:keywords set to `Id`
File size: 46.2 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 3241 2018-09-12 15:02:00Z suehring $
[3241]	27	! unused variables removed
	28	!
	29	! 3183 2018-07-27 14:25:55Z suehring
[3183]	30	! Rename some variables concerning LES-LES as well as offline nesting
	31	!
	32	! 3182 2018-07-27 13:36:03Z suehring
[3129]	33	! - Use wall function for e_p and diss_p in case of rans_tke_e
	34	! - move limitation of diss_p from tcm_prognostic
	35	!
	36	! 2938 2018-03-27 15:52:42Z suehring
[2938]	37	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	38	! and if parent model operates in RANS mode but child model in LES mode.
	39	! mode
	40	!
	41	! 2793 2018-02-07 10:54:33Z suehring
[2766]	42	! Removed preprocessor directive __chem
	43	!
	44	! 2718 2018-01-02 08:49:38Z maronga
[2716]	45	! Corrected "Former revisions" section
	46	!
	47	! 2696 2017-12-14 17:12:51Z kanani
	48	! Change in file header (GPL part)
[2696]	49	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	50	! Implementation of chemistry module (FK)
	51	!
	52	! 2569 2017-10-20 11:54:42Z kanani
[2569]	53	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	54	!
	55	! 2365 2017-08-21 14:59:59Z kanani
[2365]	56	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	57	! on fine grid (SadiqHuq)
	58	!
	59	! 2320 2017-07-21 12:47:43Z suehring
[2320]	60	! Remove unused control parameter large_scale_forcing from only-list
	61	!
	62	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	63	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	64	! includes two more prognostic equations for cloud drop concentration (nc)
	65	! and cloud water content (qc).
	66	!
	67	! 2233 2017-05-30 18:08:54Z suehring
[1321]	68	!
[2233]	69	! 2232 2017-05-30 17:47:52Z suehring
	70	! Set boundary conditions on topography top using flag method.
	71	!
[2119]	72	! 2118 2017-01-17 16:38:49Z raasch
	73	! OpenACC directives removed
	74	!
[2001]	75	! 2000 2016-08-20 18:09:15Z knoop
	76	! Forced header and separation lines into 80 columns
	77	!
[1993]	78	! 1992 2016-08-12 15:14:59Z suehring
	79	! Adjustments for top boundary condition for passive scalar
	80	!
[1961]	81	! 1960 2016-07-12 16:34:24Z suehring
	82	! Treat humidity and passive scalar separately
	83	!
[1933]	84	! 1823 2016-04-07 08:57:52Z hoffmann
	85	! Initial version of purely vertical nesting introduced.
	86	!
[1823]	87	! 1822 2016-04-07 07:49:42Z hoffmann
	88	! icloud_scheme removed. microphyisics_seifert added.
	89	!
[1765]	90	! 1764 2016-02-28 12:45:19Z raasch
	91	! index bug for u_p at left outflow removed
	92	!
[1763]	93	! 1762 2016-02-25 12:31:13Z hellstea
	94	! Introduction of nested domain feature
	95	!
[1744]	96	! 1742 2016-01-13 09:50:06Z raasch
	97	! bugfix for outflow Neumann boundary conditions at bottom and top
	98	!
[1718]	99	! 1717 2015-11-11 15:09:47Z raasch
	100	! Bugfix: index error in outflow conditions for left boundary
	101	!
[1683]	102	! 1682 2015-10-07 23:56:08Z knoop
	103	! Code annotations made doxygen readable
	104	!
[1717]	105	! 1410 2014-05-23 12:16:18Z suehring
[1463]	106	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	107	! top
	108	!
[1410]	109	! 1399 2014-05-07 11:16:25Z heinze
	110	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	111	! is used.
	112	!
[1399]	113	! 1398 2014-05-07 11:15:00Z heinze
	114	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	115	! for large_scale_forcing
	116	!
[1381]	117	! 1380 2014-04-28 12:40:45Z heinze
	118	! Adjust Dirichlet-condition at the top for pt in case of nudging
	119	!
[1362]	120	! 1361 2014-04-16 15:17:48Z hoffmann
	121	! Bottom and top boundary conditions of rain water content (qr) and
	122	! rain drop concentration (nr) changed to Dirichlet
	123	!
[1354]	124	! 1353 2014-04-08 15:21:23Z heinze
	125	! REAL constants provided with KIND-attribute
	126	!
[1321]	127	! 1320 2014-03-20 08:40:49Z raasch
[1320]	128	! ONLY-attribute added to USE-statements,
	129	! kind-parameters added to all INTEGER and REAL declaration statements,
	130	! kinds are defined in new module kinds,
	131	! revision history before 2012 removed,
	132	! comment fields (!:) to be used for variable explanations added to
	133	! all variable declaration statements
[1160]	134	!
[1258]	135	! 1257 2013-11-08 15:18:40Z raasch
	136	! loop independent clauses added
	137	!
[1242]	138	! 1241 2013-10-30 11:36:58Z heinze
	139	! Adjust ug and vg at each timestep in case of large_scale_forcing
	140	!
[1160]	141	! 1159 2013-05-21 11:58:22Z fricke
[1159]	142	! Bugfix: Neumann boundary conditions for the velocity components at the
	143	! outflow are in fact radiation boundary conditions using the maximum phase
	144	! velocity that ensures numerical stability (CFL-condition).
	145	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	146	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	147	! u_p, v_p, w_p
[1116]	148	!
	149	! 1115 2013-03-26 18:16:16Z hoffmann
	150	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	151	! boundary-conditions
	152	!
[1114]	153	! 1113 2013-03-10 02:48:14Z raasch
	154	! GPU-porting
	155	! dummy argument "range" removed
	156	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	157	!
[1054]	158	! 1053 2012-11-13 17:11:03Z hoffmann
	159	! boundary conditions for the two new prognostic equations (nr, qr) of the
	160	! two-moment cloud scheme
	161	!
[1037]	162	! 1036 2012-10-22 13:43:42Z raasch
	163	! code put under GPL (PALM 3.9)
	164	!
[997]	165	! 996 2012-09-07 10:41:47Z raasch
	166	! little reformatting
	167	!
[979]	168	! 978 2012-08-09 08:28:32Z fricke
	169	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	170	! Outflow boundary conditions for the velocity components can be set to Neumann
	171	! conditions or to radiation conditions with a horizontal averaged phase
	172	! velocity.
	173	!
[876]	174	! 875 2012-04-02 15:35:15Z gryschka
	175	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	176	!
[1]	177	! Revision 1.1 1997/09/12 06:21:34 raasch
	178	! Initial revision
	179	!
	180	!
	181	! Description:
	182	! ------------
[1682]	183	!> Boundary conditions for the prognostic quantities.
	184	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	185	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	186	!> handled in routine exchange_horiz. Pressure boundary conditions are
	187	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	188	!------------------------------------------------------------------------------!
[1682]	189	SUBROUTINE boundary_conds
	190
[1]	191
[1320]	192	USE arrays_3d, &
	193	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]	194	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	195	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	196	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, &
	197	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	198
	199	USE chemistry_model_mod, &
	200	ONLY: chem_boundary_conds
	201
[1320]	202	USE control_parameters, &
[3182]	203	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	204	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	205	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
	206	child_domain, constant_diffusion, cloud_physics, coupling_mode, &
	207	dt_3d, humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
	208	ibc_s_t,ibc_sa_t, ibc_uv_b, ibc_uv_t, &
	209	intermediate_timestep_count, kappa, &
	210	microphysics_morrison, microphysics_seifert, &
	211	nesting_offline, nudging, &
	212	ocean, passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
[1320]	213
	214	USE grid_variables, &
	215	ONLY: ddx, ddy, dx, dy
	216
	217	USE indices, &
	218	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[3241]	219	nzb, nzt
[1320]	220
	221	USE kinds
	222
[1]	223	USE pegrid
	224
[1933]	225	USE pmc_interface, &
[2938]	226	ONLY : nesting_mode, rans_mode_parent
[1320]	227
[2232]	228	USE surface_mod, &
[3129]	229	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	230	surf_usm_h, surf_usm_v
[1933]	231
[3129]	232	USE turbulence_closure_mod, &
	233	ONLY: c_0
	234
[1]	235	IMPLICIT NONE
	236
[2232]	237	INTEGER(iwp) :: i !< grid index x direction
	238	INTEGER(iwp) :: j !< grid index y direction
	239	INTEGER(iwp) :: k !< grid index z direction
	240	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	241	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	242	INTEGER(iwp) :: m !< running index surface elements
[1]	243
[1682]	244	REAL(wp) :: c_max !<
	245	REAL(wp) :: denom !<
[1]	246
[73]	247
[1]	248	!
[1113]	249	!-- Bottom boundary
	250	IF ( ibc_uv_b == 1 ) THEN
	251	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	252	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	253	ENDIF
[2232]	254	!
	255	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	256	!-- of downward-facing surfaces.
	257	DO l = 0, 1
	258	!
	259	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	260	!-- for downward-facing surfaces at topography bottom (k+1).
	261	kb = MERGE( -1, 1, l == 0 )
	262	!$OMP PARALLEL DO PRIVATE( i, j, k )
	263	DO m = 1, bc_h(l)%ns
	264	i = bc_h(l)%i(m)
	265	j = bc_h(l)%j(m)
	266	k = bc_h(l)%k(m)
	267	w_p(k+kb,j,i) = 0.0_wp
[1113]	268	ENDDO
	269	ENDDO
	270
	271	!
[1762]	272	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	273	IF ( ibc_uv_t == 0 ) THEN
	274	u_p(nzt+1,:,:) = u_init(nzt+1)
	275	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	276	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	277	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	278	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	279	ENDIF
	280
[2365]	281	!
	282	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3182]	283	IF ( .NOT. child_domain .AND. &
[2365]	284	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	285	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	286	ENDIF
	287
[1113]	288	!
[2232]	289	!-- Temperature at bottom and top boundary.
[1113]	290	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	291	!-- the sea surface temperature of the coupled ocean model.
[2232]	292	!-- Dirichlet
[1113]	293	IF ( ibc_pt_b == 0 ) THEN
[2232]	294	DO l = 0, 1
	295	!
	296	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	297	!-- for downward-facing surfaces at topography bottom (k+1).
	298	kb = MERGE( -1, 1, l == 0 )
	299	!$OMP PARALLEL DO PRIVATE( i, j, k )
	300	DO m = 1, bc_h(l)%ns
	301	i = bc_h(l)%i(m)
	302	j = bc_h(l)%j(m)
	303	k = bc_h(l)%k(m)
	304	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	305	ENDDO
	306	ENDDO
[2232]	307	!
	308	!-- Neumann, zero-gradient
[1113]	309	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	310	DO l = 0, 1
	311	!
	312	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	313	!-- for downward-facing surfaces at topography bottom (k+1).
	314	kb = MERGE( -1, 1, l == 0 )
	315	!$OMP PARALLEL DO PRIVATE( i, j, k )
	316	DO m = 1, bc_h(l)%ns
	317	i = bc_h(l)%i(m)
	318	j = bc_h(l)%j(m)
	319	k = bc_h(l)%k(m)
	320	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	321	ENDDO
	322	ENDDO
	323	ENDIF
[1]	324
	325	!
[1113]	326	!-- Temperature at top boundary
	327	IF ( ibc_pt_t == 0 ) THEN
	328	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	329	!
	330	!-- In case of nudging adjust top boundary to pt which is
	331	!-- read in from NUDGING-DATA
	332	IF ( nudging ) THEN
	333	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	334	ENDIF
[1113]	335	ELSEIF ( ibc_pt_t == 1 ) THEN
	336	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	337	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	338	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	339	ENDIF
[1]	340
	341	!
[2938]	342	!-- Boundary conditions for TKE.
	343	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	344	IF ( .NOT. constant_diffusion ) THEN
[2232]	345
[2696]	346	IF ( .NOT. rans_tke_e ) THEN
	347	DO l = 0, 1
[2232]	348	!
[2696]	349	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	350	!-- for downward-facing surfaces at topography bottom (k+1).
	351	kb = MERGE( -1, 1, l == 0 )
	352	!$OMP PARALLEL DO PRIVATE( i, j, k )
	353	DO m = 1, bc_h(l)%ns
	354	i = bc_h(l)%i(m)
	355	j = bc_h(l)%j(m)
	356	k = bc_h(l)%k(m)
	357	e_p(k+kb,j,i) = e_p(k,j,i)
	358	ENDDO
[73]	359	ENDDO
[3129]	360	ELSE
	361	!
	362	!-- Use wall function within constant-flux layer
	363	!-- Upward-facing surfaces
	364	!-- Default surfaces
	365	DO m = 1, surf_def_h(0)%ns
	366	i = surf_def_h(0)%i(m)
	367	j = surf_def_h(0)%j(m)
	368	k = surf_def_h(0)%k(m)
	369	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	370	ENDDO
	371	!
	372	!-- Natural surfaces
	373	DO m = 1, surf_lsm_h%ns
	374	i = surf_lsm_h%i(m)
	375	j = surf_lsm_h%j(m)
	376	k = surf_lsm_h%k(m)
	377	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	378	ENDDO
	379	!
	380	!-- Urban surfaces
	381	DO m = 1, surf_usm_h%ns
	382	i = surf_usm_h%i(m)
	383	j = surf_usm_h%j(m)
	384	k = surf_usm_h%k(m)
	385	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	386	ENDDO
	387	!
	388	!-- Vertical surfaces
	389	DO l = 0, 3
	390	!
	391	!-- Default surfaces
	392	DO m = 1, surf_def_v(l)%ns
	393	i = surf_def_v(l)%i(m)
	394	j = surf_def_v(l)%j(m)
	395	k = surf_def_v(l)%k(m)
	396	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	397	ENDDO
	398	!
	399	!-- Natural surfaces
	400	DO m = 1, surf_lsm_v(l)%ns
	401	i = surf_lsm_v(l)%i(m)
	402	j = surf_lsm_v(l)%j(m)
	403	k = surf_lsm_v(l)%k(m)
	404	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	405	ENDDO
	406	!
	407	!-- Urban surfaces
	408	DO m = 1, surf_usm_v(l)%ns
	409	i = surf_usm_v(l)%i(m)
	410	j = surf_usm_v(l)%j(m)
	411	k = surf_usm_v(l)%k(m)
	412	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	413	ENDDO
	414	ENDDO
[2696]	415	ENDIF
[2232]	416
[3182]	417	IF ( .NOT. child_domain ) THEN
[1762]	418	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[2938]	419	!
	420	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	421	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	422	!-- top child boundaries.
	423	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	424	!-- is treated in the nesting.
	425	ELSE
	426
	427	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	428
	429	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	430	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	431	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	432	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	433	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	434
	435	ENDIF
[1762]	436	ENDIF
[1113]	437	ENDIF
	438
	439	!
[2938]	440	!-- Boundary conditions for TKE dissipation rate.
[3129]	441	IF ( rans_tke_e ) THEN
	442	!
	443	!-- Use wall function within constant-flux layer
	444	!-- Upward-facing surfaces
	445	!-- Default surfaces
	446	DO m = 1, surf_def_h(0)%ns
	447	i = surf_def_h(0)%i(m)
	448	j = surf_def_h(0)%j(m)
	449	k = surf_def_h(0)%k(m)
	450	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	451	/ ( kappa * surf_def_h(0)%z_mo(m) )
	452	ENDDO
	453	!
	454	!-- Natural surfaces
	455	DO m = 1, surf_lsm_h%ns
	456	i = surf_lsm_h%i(m)
	457	j = surf_lsm_h%j(m)
	458	k = surf_lsm_h%k(m)
	459	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	460	/ ( kappa * surf_lsm_h%z_mo(m) )
	461	ENDDO
	462	!
	463	!-- Urban surfaces
	464	DO m = 1, surf_usm_h%ns
	465	i = surf_usm_h%i(m)
	466	j = surf_usm_h%j(m)
	467	k = surf_usm_h%k(m)
	468	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	469	/ ( kappa * surf_usm_h%z_mo(m) )
	470	ENDDO
	471	!
	472	!-- Vertical surfaces
	473	DO l = 0, 3
	474	!
	475	!-- Default surfaces
	476	DO m = 1, surf_def_v(l)%ns
	477	i = surf_def_v(l)%i(m)
	478	j = surf_def_v(l)%j(m)
	479	k = surf_def_v(l)%k(m)
	480	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	481	/ ( kappa * surf_def_v(l)%z_mo(m) )
	482	ENDDO
	483	!
	484	!-- Natural surfaces
	485	DO m = 1, surf_lsm_v(l)%ns
	486	i = surf_lsm_v(l)%i(m)
	487	j = surf_lsm_v(l)%j(m)
	488	k = surf_lsm_v(l)%k(m)
	489	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	490	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	491	ENDDO
	492	!
	493	!-- Urban surfaces
	494	DO m = 1, surf_usm_v(l)%ns
	495	i = surf_usm_v(l)%i(m)
	496	j = surf_usm_v(l)%j(m)
	497	k = surf_usm_v(l)%k(m)
	498	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	499	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	500	ENDDO
	501	ENDDO
	502	!
	503	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	504	!-- minimum value
	505	DO i = nxl, nxr
	506	DO j = nys, nyn
	507	DO k = nzb, nzt+1
	508	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	509	2.0_wp * diss(k,j,i) ), &
	510	0.1_wp * diss(k,j,i), &
	511	0.0001_wp )
	512	ENDDO
	513	ENDDO
	514	ENDDO
	515
[3182]	516	IF ( .NOT. child_domain ) THEN
[3129]	517	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	518	ENDIF
[2696]	519	ENDIF
	520
	521	!
[1113]	522	!-- Boundary conditions for salinity
	523	IF ( ocean ) THEN
	524	!
	525	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	526	!-- given.
	527	DO l = 0, 1
	528	!
	529	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	530	!-- for downward-facing surfaces at topography bottom (k+1).
	531	kb = MERGE( -1, 1, l == 0 )
	532	!$OMP PARALLEL DO PRIVATE( i, j, k )
	533	DO m = 1, bc_h(l)%ns
	534	i = bc_h(l)%i(m)
	535	j = bc_h(l)%j(m)
	536	k = bc_h(l)%k(m)
	537	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	538	ENDDO
[1113]	539	ENDDO
[1]	540	!
[1113]	541	!-- Top boundary: Dirichlet or Neumann
	542	IF ( ibc_sa_t == 0 ) THEN
	543	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	544	ELSEIF ( ibc_sa_t == 1 ) THEN
	545	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	546	ENDIF
	547
[1113]	548	ENDIF
	549
[1]	550	!
[1960]	551	!-- Boundary conditions for total water content,
[1113]	552	!-- bottom and top boundary (see also temperature)
[1960]	553	IF ( humidity ) THEN
[1113]	554	!
	555	!-- Surface conditions for constant_humidity_flux
[2232]	556	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	557	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	558	!-- q_p at k-1
[1113]	559	IF ( ibc_q_b == 0 ) THEN
[2232]	560
	561	DO l = 0, 1
	562	!
	563	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	564	!-- for downward-facing surfaces at topography bottom (k+1).
	565	kb = MERGE( -1, 1, l == 0 )
	566	!$OMP PARALLEL DO PRIVATE( i, j, k )
	567	DO m = 1, bc_h(l)%ns
	568	i = bc_h(l)%i(m)
	569	j = bc_h(l)%j(m)
	570	k = bc_h(l)%k(m)
	571	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	572	ENDDO
	573	ENDDO
[2232]	574
[1113]	575	ELSE
[2232]	576
	577	DO l = 0, 1
	578	!
	579	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	580	!-- for downward-facing surfaces at topography bottom (k+1).
	581	kb = MERGE( -1, 1, l == 0 )
	582	!$OMP PARALLEL DO PRIVATE( i, j, k )
	583	DO m = 1, bc_h(l)%ns
	584	i = bc_h(l)%i(m)
	585	j = bc_h(l)%j(m)
	586	k = bc_h(l)%k(m)
	587	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	588	ENDDO
	589	ENDDO
[1113]	590	ENDIF
[95]	591	!
[1113]	592	!-- Top boundary
[1462]	593	IF ( ibc_q_t == 0 ) THEN
	594	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	595	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	596	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	597	ENDIF
[95]	598
[2292]	599	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	600	!
	601	!-- Surface conditions cloud water (Dirichlet)
	602	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	603	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	604	!-- qr_p and nr_p at k-1
	605	!$OMP PARALLEL DO PRIVATE( i, j, k )
	606	DO m = 1, bc_h(0)%ns
	607	i = bc_h(0)%i(m)
	608	j = bc_h(0)%j(m)
	609	k = bc_h(0)%k(m)
	610	qc_p(k-1,j,i) = 0.0_wp
	611	nc_p(k-1,j,i) = 0.0_wp
	612	ENDDO
	613	!
	614	!-- Top boundary condition for cloud water (Dirichlet)
	615	qc_p(nzt+1,:,:) = 0.0_wp
	616	nc_p(nzt+1,:,:) = 0.0_wp
	617
	618	ENDIF
	619
[1822]	620	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	621	!
[1361]	622	!-- Surface conditions rain water (Dirichlet)
[2232]	623	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	624	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	625	!-- qr_p and nr_p at k-1
	626	!$OMP PARALLEL DO PRIVATE( i, j, k )
	627	DO m = 1, bc_h(0)%ns
	628	i = bc_h(0)%i(m)
	629	j = bc_h(0)%j(m)
	630	k = bc_h(0)%k(m)
	631	qr_p(k-1,j,i) = 0.0_wp
	632	nr_p(k-1,j,i) = 0.0_wp
[1115]	633	ENDDO
[1]	634	!
[1361]	635	!-- Top boundary condition for rain water (Dirichlet)
	636	qr_p(nzt+1,:,:) = 0.0_wp
	637	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	638
[1]	639	ENDIF
[1409]	640	ENDIF
[1]	641	!
[1960]	642	!-- Boundary conditions for scalar,
	643	!-- bottom and top boundary (see also temperature)
	644	IF ( passive_scalar ) THEN
	645	!
	646	!-- Surface conditions for constant_humidity_flux
[2232]	647	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	648	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	649	!-- s_p at k-1
[1960]	650	IF ( ibc_s_b == 0 ) THEN
[2232]	651
	652	DO l = 0, 1
	653	!
	654	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	655	!-- for downward-facing surfaces at topography bottom (k+1).
	656	kb = MERGE( -1, 1, l == 0 )
	657	!$OMP PARALLEL DO PRIVATE( i, j, k )
	658	DO m = 1, bc_h(l)%ns
	659	i = bc_h(l)%i(m)
	660	j = bc_h(l)%j(m)
	661	k = bc_h(l)%k(m)
	662	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	663	ENDDO
	664	ENDDO
[2232]	665
[1960]	666	ELSE
[2232]	667
	668	DO l = 0, 1
	669	!
	670	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	671	!-- for downward-facing surfaces at topography bottom (k+1).
	672	kb = MERGE( -1, 1, l == 0 )
	673	!$OMP PARALLEL DO PRIVATE( i, j, k )
	674	DO m = 1, bc_h(l)%ns
	675	i = bc_h(l)%i(m)
	676	j = bc_h(l)%j(m)
	677	k = bc_h(l)%k(m)
	678	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	679	ENDDO
	680	ENDDO
	681	ENDIF
	682	!
[1992]	683	!-- Top boundary condition
	684	IF ( ibc_s_t == 0 ) THEN
[1960]	685	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	686	ELSEIF ( ibc_s_t == 1 ) THEN
	687	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	688	ELSEIF ( ibc_s_t == 2 ) THEN
	689	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	690	ENDIF
	691
	692	ENDIF
	693	!
[2696]	694	!-- Top/bottom boundary conditions for chemical species
	695	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	696	!
[1762]	697	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	698	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	699	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	700	!-- version) these levels are handled as a prognostic level, boundary values
	701	!-- have to be restored here.
[1409]	702	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	703	IF ( bc_dirichlet_s ) THEN
[1409]	704	v_p(:,nys,:) = v_p(:,nys-1,:)
	705	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	706	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	707	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	708	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	709	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	710	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	711	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	712	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	713	ENDIF
[1]	714
	715	!
[1762]	716	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	717	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	718	!-- mode as in that case the lateral boundaries are actually cyclic.
	719	!-- @todo: Is this really needed? Boundary values will be overwritten in
	720	!-- coupler or by Inifor data.
	721	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	722	IF ( bc_dirichlet_s ) THEN
[1933]	723	v_p(:,nys,:) = v_p(:,nys-1,:)
	724	ENDIF
[3182]	725	IF ( bc_dirichlet_l ) THEN
[1933]	726	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	727	ENDIF
[1762]	728	ENDIF
	729
	730	!
[1409]	731	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	732	IF ( bc_radiation_s ) THEN
[1409]	733	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	734	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	735	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	736	IF ( humidity ) THEN
[1409]	737	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	738	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	739	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	740	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	741	ENDIF
[1822]	742	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	743	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	744	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	745	ENDIF
[1409]	746	ENDIF
[1960]	747	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	748	ELSEIF ( bc_radiation_n ) THEN
[1409]	749	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	750	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	751	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	752	IF ( humidity ) THEN
[1409]	753	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	754	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	755	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	756	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	757	ENDIF
[1822]	758	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	759	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	760	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	761	ENDIF
[1409]	762	ENDIF
[1960]	763	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	764	ELSEIF ( bc_radiation_l ) THEN
[1409]	765	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	766	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	767	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	768	IF ( humidity ) THEN
[1409]	769	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	770	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	771	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	772	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	773	ENDIF
[1822]	774	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	775	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	776	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	777	ENDIF
[1409]	778	ENDIF
[1960]	779	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	780	ELSEIF ( bc_radiation_r ) THEN
[1409]	781	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	782	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	783	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	784	IF ( humidity ) THEN
[1409]	785	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	786	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	787	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	788	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	789	ENDIF
[1822]	790	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	791	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	792	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	793	ENDIF
[1]	794	ENDIF
[1960]	795	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	796	ENDIF
	797
	798	!
[2696]	799	!-- Lateral boundary conditions for chemical species
	800	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	801
	802	!
[1159]	803	!-- Radiation boundary conditions for the velocities at the respective outflow.
	804	!-- The phase velocity is either assumed to the maximum phase velocity that
	805	!-- ensures numerical stability (CFL-condition) or calculated after
	806	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	807	IF ( bc_radiation_s ) THEN
[75]	808
[1159]	809	IF ( use_cmax ) THEN
	810	u_p(:,-1,:) = u(:,0,:)
	811	v_p(:,0,:) = v(:,1,:)
	812	w_p(:,-1,:) = w(:,0,:)
	813	ELSEIF ( .NOT. use_cmax ) THEN
[75]	814
[978]	815	c_max = dy / dt_3d
[75]	816
[1353]	817	c_u_m_l = 0.0_wp
	818	c_v_m_l = 0.0_wp
	819	c_w_m_l = 0.0_wp
[978]	820
[1353]	821	c_u_m = 0.0_wp
	822	c_v_m = 0.0_wp
	823	c_w_m = 0.0_wp
[978]	824
[75]	825	!
[996]	826	!-- Calculate the phase speeds for u, v, and w, first local and then
	827	!-- average along the outflow boundary.
	828	DO k = nzb+1, nzt+1
	829	DO i = nxl, nxr
[75]	830
[106]	831	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	832
[1353]	833	IF ( denom /= 0.0_wp ) THEN
[996]	834	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	835	IF ( c_u(k,i) < 0.0_wp ) THEN
	836	c_u(k,i) = 0.0_wp
[106]	837	ELSEIF ( c_u(k,i) > c_max ) THEN
	838	c_u(k,i) = c_max
	839	ENDIF
	840	ELSE
	841	c_u(k,i) = c_max
[75]	842	ENDIF
	843
[106]	844	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	845
[1353]	846	IF ( denom /= 0.0_wp ) THEN
[996]	847	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	848	IF ( c_v(k,i) < 0.0_wp ) THEN
	849	c_v(k,i) = 0.0_wp
[106]	850	ELSEIF ( c_v(k,i) > c_max ) THEN
	851	c_v(k,i) = c_max
	852	ENDIF
	853	ELSE
	854	c_v(k,i) = c_max
[75]	855	ENDIF
	856
[106]	857	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	858
[1353]	859	IF ( denom /= 0.0_wp ) THEN
[996]	860	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	861	IF ( c_w(k,i) < 0.0_wp ) THEN
	862	c_w(k,i) = 0.0_wp
[106]	863	ELSEIF ( c_w(k,i) > c_max ) THEN
	864	c_w(k,i) = c_max
	865	ENDIF
	866	ELSE
	867	c_w(k,i) = c_max
[75]	868	ENDIF
[106]	869
[978]	870	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	871	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	872	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	873
[978]	874	ENDDO
	875	ENDDO
[75]	876
[978]	877	#if defined( __parallel )
	878	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	879	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	880	MPI_SUM, comm1dx, ierr )
	881	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	882	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	883	MPI_SUM, comm1dx, ierr )
	884	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	885	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	886	MPI_SUM, comm1dx, ierr )
	887	#else
	888	c_u_m = c_u_m_l
	889	c_v_m = c_v_m_l
	890	c_w_m = c_w_m_l
	891	#endif
	892
	893	c_u_m = c_u_m / (nx+1)
	894	c_v_m = c_v_m / (nx+1)
	895	c_w_m = c_w_m / (nx+1)
	896
[75]	897	!
[978]	898	!-- Save old timelevels for the next timestep
	899	IF ( intermediate_timestep_count == 1 ) THEN
	900	u_m_s(:,:,:) = u(:,0:1,:)
	901	v_m_s(:,:,:) = v(:,1:2,:)
	902	w_m_s(:,:,:) = w(:,0:1,:)
	903	ENDIF
	904
	905	!
	906	!-- Calculate the new velocities
[996]	907	DO k = nzb+1, nzt+1
	908	DO i = nxlg, nxrg
[978]	909	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	910	( u(k,-1,i) - u(k,0,i) ) * ddy
	911
[978]	912	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	913	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	914
[978]	915	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	916	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	917	ENDDO
[75]	918	ENDDO
	919
	920	!
[978]	921	!-- Bottom boundary at the outflow
	922	IF ( ibc_uv_b == 0 ) THEN
[1353]	923	u_p(nzb,-1,:) = 0.0_wp
	924	v_p(nzb,0,:) = 0.0_wp
[978]	925	ELSE
	926	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	927	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	928	ENDIF
[1353]	929	w_p(nzb,-1,:) = 0.0_wp
[73]	930
[75]	931	!
[978]	932	!-- Top boundary at the outflow
	933	IF ( ibc_uv_t == 0 ) THEN
	934	u_p(nzt+1,-1,:) = u_init(nzt+1)
	935	v_p(nzt+1,0,:) = v_init(nzt+1)
	936	ELSE
[1742]	937	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	938	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	939	ENDIF
[1353]	940	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	941
[75]	942	ENDIF
[73]	943
[75]	944	ENDIF
[73]	945
[3182]	946	IF ( bc_radiation_n ) THEN
[73]	947
[1159]	948	IF ( use_cmax ) THEN
	949	u_p(:,ny+1,:) = u(:,ny,:)
	950	v_p(:,ny+1,:) = v(:,ny,:)
	951	w_p(:,ny+1,:) = w(:,ny,:)
	952	ELSEIF ( .NOT. use_cmax ) THEN
[75]	953
[978]	954	c_max = dy / dt_3d
[75]	955
[1353]	956	c_u_m_l = 0.0_wp
	957	c_v_m_l = 0.0_wp
	958	c_w_m_l = 0.0_wp
[978]	959
[1353]	960	c_u_m = 0.0_wp
	961	c_v_m = 0.0_wp
	962	c_w_m = 0.0_wp
[978]	963
[1]	964	!
[996]	965	!-- Calculate the phase speeds for u, v, and w, first local and then
	966	!-- average along the outflow boundary.
	967	DO k = nzb+1, nzt+1
	968	DO i = nxl, nxr
[73]	969
[106]	970	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	971
[1353]	972	IF ( denom /= 0.0_wp ) THEN
[996]	973	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	974	IF ( c_u(k,i) < 0.0_wp ) THEN
	975	c_u(k,i) = 0.0_wp
[106]	976	ELSEIF ( c_u(k,i) > c_max ) THEN
	977	c_u(k,i) = c_max
	978	ENDIF
	979	ELSE
	980	c_u(k,i) = c_max
[73]	981	ENDIF
	982
[106]	983	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	984
[1353]	985	IF ( denom /= 0.0_wp ) THEN
[996]	986	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	987	IF ( c_v(k,i) < 0.0_wp ) THEN
	988	c_v(k,i) = 0.0_wp
[106]	989	ELSEIF ( c_v(k,i) > c_max ) THEN
	990	c_v(k,i) = c_max
	991	ENDIF
	992	ELSE
	993	c_v(k,i) = c_max
[73]	994	ENDIF
	995
[106]	996	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	997
[1353]	998	IF ( denom /= 0.0_wp ) THEN
[996]	999	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1000	IF ( c_w(k,i) < 0.0_wp ) THEN
	1001	c_w(k,i) = 0.0_wp
[106]	1002	ELSEIF ( c_w(k,i) > c_max ) THEN
	1003	c_w(k,i) = c_max
	1004	ENDIF
	1005	ELSE
	1006	c_w(k,i) = c_max
[73]	1007	ENDIF
[106]	1008
[978]	1009	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1010	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1011	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1012
[978]	1013	ENDDO
	1014	ENDDO
[73]	1015
[978]	1016	#if defined( __parallel )
	1017	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1018	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1019	MPI_SUM, comm1dx, ierr )
	1020	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1021	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1022	MPI_SUM, comm1dx, ierr )
	1023	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1024	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1025	MPI_SUM, comm1dx, ierr )
	1026	#else
	1027	c_u_m = c_u_m_l
	1028	c_v_m = c_v_m_l
	1029	c_w_m = c_w_m_l
	1030	#endif
	1031
	1032	c_u_m = c_u_m / (nx+1)
	1033	c_v_m = c_v_m / (nx+1)
	1034	c_w_m = c_w_m / (nx+1)
	1035
[73]	1036	!
[978]	1037	!-- Save old timelevels for the next timestep
	1038	IF ( intermediate_timestep_count == 1 ) THEN
	1039	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1040	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1041	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1042	ENDIF
[73]	1043
[978]	1044	!
	1045	!-- Calculate the new velocities
[996]	1046	DO k = nzb+1, nzt+1
	1047	DO i = nxlg, nxrg
[978]	1048	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1049	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1050
[978]	1051	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1052	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1053
[978]	1054	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1055	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1056	ENDDO
[1]	1057	ENDDO
	1058
	1059	!
[978]	1060	!-- Bottom boundary at the outflow
	1061	IF ( ibc_uv_b == 0 ) THEN
[1353]	1062	u_p(nzb,ny+1,:) = 0.0_wp
	1063	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1064	ELSE
	1065	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1066	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1067	ENDIF
[1353]	1068	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1069
	1070	!
[978]	1071	!-- Top boundary at the outflow
	1072	IF ( ibc_uv_t == 0 ) THEN
	1073	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1074	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1075	ELSE
	1076	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1077	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1078	ENDIF
[1353]	1079	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1080
[1]	1081	ENDIF
	1082
[75]	1083	ENDIF
	1084
[3182]	1085	IF ( bc_radiation_l ) THEN
[75]	1086
[1159]	1087	IF ( use_cmax ) THEN
[1717]	1088	u_p(:,:,0) = u(:,:,1)
	1089	v_p(:,:,-1) = v(:,:,0)
[1159]	1090	w_p(:,:,-1) = w(:,:,0)
	1091	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1092
[978]	1093	c_max = dx / dt_3d
[75]	1094
[1353]	1095	c_u_m_l = 0.0_wp
	1096	c_v_m_l = 0.0_wp
	1097	c_w_m_l = 0.0_wp
[978]	1098
[1353]	1099	c_u_m = 0.0_wp
	1100	c_v_m = 0.0_wp
	1101	c_w_m = 0.0_wp
[978]	1102
[1]	1103	!
[996]	1104	!-- Calculate the phase speeds for u, v, and w, first local and then
	1105	!-- average along the outflow boundary.
	1106	DO k = nzb+1, nzt+1
	1107	DO j = nys, nyn
[75]	1108
[106]	1109	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1110
[1353]	1111	IF ( denom /= 0.0_wp ) THEN
[996]	1112	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1113	IF ( c_u(k,j) < 0.0_wp ) THEN
	1114	c_u(k,j) = 0.0_wp
[107]	1115	ELSEIF ( c_u(k,j) > c_max ) THEN
	1116	c_u(k,j) = c_max
[106]	1117	ENDIF
	1118	ELSE
[107]	1119	c_u(k,j) = c_max
[75]	1120	ENDIF
	1121
[106]	1122	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1123
[1353]	1124	IF ( denom /= 0.0_wp ) THEN
[996]	1125	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1126	IF ( c_v(k,j) < 0.0_wp ) THEN
	1127	c_v(k,j) = 0.0_wp
[106]	1128	ELSEIF ( c_v(k,j) > c_max ) THEN
	1129	c_v(k,j) = c_max
	1130	ENDIF
	1131	ELSE
	1132	c_v(k,j) = c_max
[75]	1133	ENDIF
	1134
[106]	1135	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1136
[1353]	1137	IF ( denom /= 0.0_wp ) THEN
[996]	1138	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1139	IF ( c_w(k,j) < 0.0_wp ) THEN
	1140	c_w(k,j) = 0.0_wp
[106]	1141	ELSEIF ( c_w(k,j) > c_max ) THEN
	1142	c_w(k,j) = c_max
	1143	ENDIF
	1144	ELSE
	1145	c_w(k,j) = c_max
[75]	1146	ENDIF
[106]	1147
[978]	1148	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1149	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1150	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1151
[978]	1152	ENDDO
	1153	ENDDO
[75]	1154
[978]	1155	#if defined( __parallel )
	1156	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1157	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1158	MPI_SUM, comm1dy, ierr )
	1159	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1160	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1161	MPI_SUM, comm1dy, ierr )
	1162	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1163	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1164	MPI_SUM, comm1dy, ierr )
	1165	#else
	1166	c_u_m = c_u_m_l
	1167	c_v_m = c_v_m_l
	1168	c_w_m = c_w_m_l
	1169	#endif
	1170
	1171	c_u_m = c_u_m / (ny+1)
	1172	c_v_m = c_v_m / (ny+1)
	1173	c_w_m = c_w_m / (ny+1)
	1174
[73]	1175	!
[978]	1176	!-- Save old timelevels for the next timestep
	1177	IF ( intermediate_timestep_count == 1 ) THEN
	1178	u_m_l(:,:,:) = u(:,:,1:2)
	1179	v_m_l(:,:,:) = v(:,:,0:1)
	1180	w_m_l(:,:,:) = w(:,:,0:1)
	1181	ENDIF
	1182
	1183	!
	1184	!-- Calculate the new velocities
[996]	1185	DO k = nzb+1, nzt+1
[1113]	1186	DO j = nysg, nyng
[978]	1187	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1188	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1189
[978]	1190	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1191	( v(k,j,-1) - v(k,j,0) ) * ddx
	1192
[978]	1193	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1194	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1195	ENDDO
[75]	1196	ENDDO
	1197
	1198	!
[978]	1199	!-- Bottom boundary at the outflow
	1200	IF ( ibc_uv_b == 0 ) THEN
[1353]	1201	u_p(nzb,:,0) = 0.0_wp
	1202	v_p(nzb,:,-1) = 0.0_wp
[978]	1203	ELSE
	1204	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1205	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1206	ENDIF
[1353]	1207	w_p(nzb,:,-1) = 0.0_wp
[1]	1208
[75]	1209	!
[978]	1210	!-- Top boundary at the outflow
	1211	IF ( ibc_uv_t == 0 ) THEN
[1764]	1212	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1213	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1214	ELSE
[1764]	1215	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1216	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1217	ENDIF
[1353]	1218	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1219
[75]	1220	ENDIF
[73]	1221
[75]	1222	ENDIF
[73]	1223
[3182]	1224	IF ( bc_radiation_r ) THEN
[73]	1225
[1159]	1226	IF ( use_cmax ) THEN
	1227	u_p(:,:,nx+1) = u(:,:,nx)
	1228	v_p(:,:,nx+1) = v(:,:,nx)
	1229	w_p(:,:,nx+1) = w(:,:,nx)
	1230	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1231
[978]	1232	c_max = dx / dt_3d
[75]	1233
[1353]	1234	c_u_m_l = 0.0_wp
	1235	c_v_m_l = 0.0_wp
	1236	c_w_m_l = 0.0_wp
[978]	1237
[1353]	1238	c_u_m = 0.0_wp
	1239	c_v_m = 0.0_wp
	1240	c_w_m = 0.0_wp
[978]	1241
[1]	1242	!
[996]	1243	!-- Calculate the phase speeds for u, v, and w, first local and then
	1244	!-- average along the outflow boundary.
	1245	DO k = nzb+1, nzt+1
	1246	DO j = nys, nyn
[73]	1247
[106]	1248	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1249
[1353]	1250	IF ( denom /= 0.0_wp ) THEN
[996]	1251	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1252	IF ( c_u(k,j) < 0.0_wp ) THEN
	1253	c_u(k,j) = 0.0_wp
[106]	1254	ELSEIF ( c_u(k,j) > c_max ) THEN
	1255	c_u(k,j) = c_max
	1256	ENDIF
	1257	ELSE
	1258	c_u(k,j) = c_max
[73]	1259	ENDIF
	1260
[106]	1261	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1262
[1353]	1263	IF ( denom /= 0.0_wp ) THEN
[996]	1264	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1265	IF ( c_v(k,j) < 0.0_wp ) THEN
	1266	c_v(k,j) = 0.0_wp
[106]	1267	ELSEIF ( c_v(k,j) > c_max ) THEN
	1268	c_v(k,j) = c_max
	1269	ENDIF
	1270	ELSE
	1271	c_v(k,j) = c_max
[73]	1272	ENDIF
	1273
[106]	1274	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1275
[1353]	1276	IF ( denom /= 0.0_wp ) THEN
[996]	1277	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1278	IF ( c_w(k,j) < 0.0_wp ) THEN
	1279	c_w(k,j) = 0.0_wp
[106]	1280	ELSEIF ( c_w(k,j) > c_max ) THEN
	1281	c_w(k,j) = c_max
	1282	ENDIF
	1283	ELSE
	1284	c_w(k,j) = c_max
[73]	1285	ENDIF
[106]	1286
[978]	1287	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1288	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1289	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1290
[978]	1291	ENDDO
	1292	ENDDO
[73]	1293
[978]	1294	#if defined( __parallel )
	1295	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1296	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1297	MPI_SUM, comm1dy, ierr )
	1298	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1299	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1300	MPI_SUM, comm1dy, ierr )
	1301	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1302	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1303	MPI_SUM, comm1dy, ierr )
	1304	#else
	1305	c_u_m = c_u_m_l
	1306	c_v_m = c_v_m_l
	1307	c_w_m = c_w_m_l
	1308	#endif
	1309
	1310	c_u_m = c_u_m / (ny+1)
	1311	c_v_m = c_v_m / (ny+1)
	1312	c_w_m = c_w_m / (ny+1)
	1313
[73]	1314	!
[978]	1315	!-- Save old timelevels for the next timestep
	1316	IF ( intermediate_timestep_count == 1 ) THEN
	1317	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1318	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1319	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1320	ENDIF
[73]	1321
[978]	1322	!
	1323	!-- Calculate the new velocities
[996]	1324	DO k = nzb+1, nzt+1
[1113]	1325	DO j = nysg, nyng
[978]	1326	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1327	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1328
[978]	1329	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1330	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1331
[978]	1332	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1333	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1334	ENDDO
[73]	1335	ENDDO
	1336
	1337	!
[978]	1338	!-- Bottom boundary at the outflow
	1339	IF ( ibc_uv_b == 0 ) THEN
[1353]	1340	u_p(nzb,:,nx+1) = 0.0_wp
	1341	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1342	ELSE
	1343	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1344	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1345	ENDIF
[1353]	1346	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1347
	1348	!
[978]	1349	!-- Top boundary at the outflow
	1350	IF ( ibc_uv_t == 0 ) THEN
	1351	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1352	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1353	ELSE
	1354	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1355	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1356	ENDIF
[1742]	1357	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1358
[1]	1359	ENDIF
	1360
	1361	ENDIF
	1362
	1363	END SUBROUTINE boundary_conds

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