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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3170

Last change on this file since 3170 was 3129, checked in by gronemeier, 6 years ago
merge with branch rans: update of rans mode and data output
Property svn:keywords set to `Id`
File size: 45.9 KB

Rev	Line
[1682]	1	!> @file boundary_conds.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[2718]	17	! Copyright 1997-2018 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1933]	22	!
[2233]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 3129 2018-07-16 07:45:13Z suehring $
[3129]	27	! - Use wall function for e_p and diss_p in case of rans_tke_e
	28	! - move limitation of diss_p from tcm_prognostic
	29	!
	30	! 2938 2018-03-27 15:52:42Z suehring
[2938]	31	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	32	! and if parent model operates in RANS mode but child model in LES mode.
	33	! mode
	34	!
	35	! 2793 2018-02-07 10:54:33Z suehring
[2766]	36	! Removed preprocessor directive __chem
	37	!
	38	! 2718 2018-01-02 08:49:38Z maronga
[2716]	39	! Corrected "Former revisions" section
	40	!
	41	! 2696 2017-12-14 17:12:51Z kanani
	42	! Change in file header (GPL part)
[2696]	43	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	44	! Implementation of chemistry module (FK)
	45	!
	46	! 2569 2017-10-20 11:54:42Z kanani
[2569]	47	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	48	!
	49	! 2365 2017-08-21 14:59:59Z kanani
[2365]	50	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	51	! on fine grid (SadiqHuq)
	52	!
	53	! 2320 2017-07-21 12:47:43Z suehring
[2320]	54	! Remove unused control parameter large_scale_forcing from only-list
	55	!
	56	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	57	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	58	! includes two more prognostic equations for cloud drop concentration (nc)
	59	! and cloud water content (qc).
	60	!
	61	! 2233 2017-05-30 18:08:54Z suehring
[1321]	62	!
[2233]	63	! 2232 2017-05-30 17:47:52Z suehring
	64	! Set boundary conditions on topography top using flag method.
	65	!
[2119]	66	! 2118 2017-01-17 16:38:49Z raasch
	67	! OpenACC directives removed
	68	!
[2001]	69	! 2000 2016-08-20 18:09:15Z knoop
	70	! Forced header and separation lines into 80 columns
	71	!
[1993]	72	! 1992 2016-08-12 15:14:59Z suehring
	73	! Adjustments for top boundary condition for passive scalar
	74	!
[1961]	75	! 1960 2016-07-12 16:34:24Z suehring
	76	! Treat humidity and passive scalar separately
	77	!
[1933]	78	! 1823 2016-04-07 08:57:52Z hoffmann
	79	! Initial version of purely vertical nesting introduced.
	80	!
[1823]	81	! 1822 2016-04-07 07:49:42Z hoffmann
	82	! icloud_scheme removed. microphyisics_seifert added.
	83	!
[1765]	84	! 1764 2016-02-28 12:45:19Z raasch
	85	! index bug for u_p at left outflow removed
	86	!
[1763]	87	! 1762 2016-02-25 12:31:13Z hellstea
	88	! Introduction of nested domain feature
	89	!
[1744]	90	! 1742 2016-01-13 09:50:06Z raasch
	91	! bugfix for outflow Neumann boundary conditions at bottom and top
	92	!
[1718]	93	! 1717 2015-11-11 15:09:47Z raasch
	94	! Bugfix: index error in outflow conditions for left boundary
	95	!
[1683]	96	! 1682 2015-10-07 23:56:08Z knoop
	97	! Code annotations made doxygen readable
	98	!
[1717]	99	! 1410 2014-05-23 12:16:18Z suehring
[1463]	100	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	101	! top
	102	!
[1410]	103	! 1399 2014-05-07 11:16:25Z heinze
	104	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	105	! is used.
	106	!
[1399]	107	! 1398 2014-05-07 11:15:00Z heinze
	108	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	109	! for large_scale_forcing
	110	!
[1381]	111	! 1380 2014-04-28 12:40:45Z heinze
	112	! Adjust Dirichlet-condition at the top for pt in case of nudging
	113	!
[1362]	114	! 1361 2014-04-16 15:17:48Z hoffmann
	115	! Bottom and top boundary conditions of rain water content (qr) and
	116	! rain drop concentration (nr) changed to Dirichlet
	117	!
[1354]	118	! 1353 2014-04-08 15:21:23Z heinze
	119	! REAL constants provided with KIND-attribute
	120	!
[1321]	121	! 1320 2014-03-20 08:40:49Z raasch
[1320]	122	! ONLY-attribute added to USE-statements,
	123	! kind-parameters added to all INTEGER and REAL declaration statements,
	124	! kinds are defined in new module kinds,
	125	! revision history before 2012 removed,
	126	! comment fields (!:) to be used for variable explanations added to
	127	! all variable declaration statements
[1160]	128	!
[1258]	129	! 1257 2013-11-08 15:18:40Z raasch
	130	! loop independent clauses added
	131	!
[1242]	132	! 1241 2013-10-30 11:36:58Z heinze
	133	! Adjust ug and vg at each timestep in case of large_scale_forcing
	134	!
[1160]	135	! 1159 2013-05-21 11:58:22Z fricke
[1159]	136	! Bugfix: Neumann boundary conditions for the velocity components at the
	137	! outflow are in fact radiation boundary conditions using the maximum phase
	138	! velocity that ensures numerical stability (CFL-condition).
	139	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	140	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	141	! u_p, v_p, w_p
[1116]	142	!
	143	! 1115 2013-03-26 18:16:16Z hoffmann
	144	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	145	! boundary-conditions
	146	!
[1114]	147	! 1113 2013-03-10 02:48:14Z raasch
	148	! GPU-porting
	149	! dummy argument "range" removed
	150	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	151	!
[1054]	152	! 1053 2012-11-13 17:11:03Z hoffmann
	153	! boundary conditions for the two new prognostic equations (nr, qr) of the
	154	! two-moment cloud scheme
	155	!
[1037]	156	! 1036 2012-10-22 13:43:42Z raasch
	157	! code put under GPL (PALM 3.9)
	158	!
[997]	159	! 996 2012-09-07 10:41:47Z raasch
	160	! little reformatting
	161	!
[979]	162	! 978 2012-08-09 08:28:32Z fricke
	163	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	164	! Outflow boundary conditions for the velocity components can be set to Neumann
	165	! conditions or to radiation conditions with a horizontal averaged phase
	166	! velocity.
	167	!
[876]	168	! 875 2012-04-02 15:35:15Z gryschka
	169	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	170	!
[1]	171	! Revision 1.1 1997/09/12 06:21:34 raasch
	172	! Initial revision
	173	!
	174	!
	175	! Description:
	176	! ------------
[1682]	177	!> Boundary conditions for the prognostic quantities.
	178	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	179	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	180	!> handled in routine exchange_horiz. Pressure boundary conditions are
	181	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	182	!------------------------------------------------------------------------------!
[1682]	183	SUBROUTINE boundary_conds
	184
[1]	185
[1320]	186	USE arrays_3d, &
	187	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, &
[3129]	188	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, &
[2696]	189	s_p, sa, sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	190	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[3129]	191	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init, ddzu
[2696]	192
	193	USE chemistry_model_mod, &
	194	ONLY: chem_boundary_conds
	195
[1320]	196	USE control_parameters, &
[2696]	197	ONLY: air_chemistry, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
	198	constant_diffusion, cloud_physics, coupling_mode, dt_3d, &
	199	force_bound_l, force_bound_s, forcing, humidity, &
[1960]	200	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	201	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
[3129]	202	inflow_s, intermediate_timestep_count, kappa, &
[2292]	203	microphysics_morrison, microphysics_seifert, nest_domain, &
[2938]	204	nest_bound_l, nest_bound_n, nest_bound_r, nest_bound_s, nudging,&
	205	ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
	206	passive_scalar, rans_mode, rans_tke_e, tsc, use_cmax
[1320]	207
	208	USE grid_variables, &
	209	ONLY: ddx, ddy, dx, dy
	210
	211	USE indices, &
	212	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	213	nzb, nzt, wall_flags_0
[1320]	214
	215	USE kinds
	216
[1]	217	USE pegrid
	218
[1933]	219	USE pmc_interface, &
[2938]	220	ONLY : nesting_mode, rans_mode_parent
[1320]	221
[2232]	222	USE surface_mod, &
[3129]	223	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	224	surf_usm_h, surf_usm_v
[1933]	225
[3129]	226	USE turbulence_closure_mod, &
	227	ONLY: c_0
	228
[1]	229	IMPLICIT NONE
	230
[2232]	231	INTEGER(iwp) :: i !< grid index x direction
	232	INTEGER(iwp) :: j !< grid index y direction
	233	INTEGER(iwp) :: k !< grid index z direction
	234	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	235	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	236	INTEGER(iwp) :: m !< running index surface elements
[1]	237
[1682]	238	REAL(wp) :: c_max !<
	239	REAL(wp) :: denom !<
[1]	240
[73]	241
[1]	242	!
[1113]	243	!-- Bottom boundary
	244	IF ( ibc_uv_b == 1 ) THEN
	245	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	246	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	247	ENDIF
[2232]	248	!
	249	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	250	!-- of downward-facing surfaces.
	251	DO l = 0, 1
	252	!
	253	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	254	!-- for downward-facing surfaces at topography bottom (k+1).
	255	kb = MERGE( -1, 1, l == 0 )
	256	!$OMP PARALLEL DO PRIVATE( i, j, k )
	257	DO m = 1, bc_h(l)%ns
	258	i = bc_h(l)%i(m)
	259	j = bc_h(l)%j(m)
	260	k = bc_h(l)%k(m)
	261	w_p(k+kb,j,i) = 0.0_wp
[1113]	262	ENDDO
	263	ENDDO
	264
	265	!
[1762]	266	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	267	IF ( ibc_uv_t == 0 ) THEN
	268	u_p(nzt+1,:,:) = u_init(nzt+1)
	269	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	270	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	271	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	272	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	273	ENDIF
	274
[2365]	275	!
	276	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
	277	IF ( .NOT. nest_domain .AND. &
	278	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	279	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	280	ENDIF
	281
[1113]	282	!
[2232]	283	!-- Temperature at bottom and top boundary.
[1113]	284	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	285	!-- the sea surface temperature of the coupled ocean model.
[2232]	286	!-- Dirichlet
[1113]	287	IF ( ibc_pt_b == 0 ) THEN
[2232]	288	DO l = 0, 1
	289	!
	290	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	291	!-- for downward-facing surfaces at topography bottom (k+1).
	292	kb = MERGE( -1, 1, l == 0 )
	293	!$OMP PARALLEL DO PRIVATE( i, j, k )
	294	DO m = 1, bc_h(l)%ns
	295	i = bc_h(l)%i(m)
	296	j = bc_h(l)%j(m)
	297	k = bc_h(l)%k(m)
	298	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	299	ENDDO
	300	ENDDO
[2232]	301	!
	302	!-- Neumann, zero-gradient
[1113]	303	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	304	DO l = 0, 1
	305	!
	306	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	307	!-- for downward-facing surfaces at topography bottom (k+1).
	308	kb = MERGE( -1, 1, l == 0 )
	309	!$OMP PARALLEL DO PRIVATE( i, j, k )
	310	DO m = 1, bc_h(l)%ns
	311	i = bc_h(l)%i(m)
	312	j = bc_h(l)%j(m)
	313	k = bc_h(l)%k(m)
	314	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	315	ENDDO
	316	ENDDO
	317	ENDIF
[1]	318
	319	!
[1113]	320	!-- Temperature at top boundary
	321	IF ( ibc_pt_t == 0 ) THEN
	322	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	323	!
	324	!-- In case of nudging adjust top boundary to pt which is
	325	!-- read in from NUDGING-DATA
	326	IF ( nudging ) THEN
	327	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	328	ENDIF
[1113]	329	ELSEIF ( ibc_pt_t == 1 ) THEN
	330	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	331	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	332	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	333	ENDIF
[1]	334
	335	!
[2938]	336	!-- Boundary conditions for TKE.
	337	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	338	IF ( .NOT. constant_diffusion ) THEN
[2232]	339
[2696]	340	IF ( .NOT. rans_tke_e ) THEN
	341	DO l = 0, 1
[2232]	342	!
[2696]	343	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	344	!-- for downward-facing surfaces at topography bottom (k+1).
	345	kb = MERGE( -1, 1, l == 0 )
	346	!$OMP PARALLEL DO PRIVATE( i, j, k )
	347	DO m = 1, bc_h(l)%ns
	348	i = bc_h(l)%i(m)
	349	j = bc_h(l)%j(m)
	350	k = bc_h(l)%k(m)
	351	e_p(k+kb,j,i) = e_p(k,j,i)
	352	ENDDO
[73]	353	ENDDO
[3129]	354	ELSE
	355	!
	356	!-- Use wall function within constant-flux layer
	357	!-- Upward-facing surfaces
	358	!-- Default surfaces
	359	DO m = 1, surf_def_h(0)%ns
	360	i = surf_def_h(0)%i(m)
	361	j = surf_def_h(0)%j(m)
	362	k = surf_def_h(0)%k(m)
	363	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	364	ENDDO
	365	!
	366	!-- Natural surfaces
	367	DO m = 1, surf_lsm_h%ns
	368	i = surf_lsm_h%i(m)
	369	j = surf_lsm_h%j(m)
	370	k = surf_lsm_h%k(m)
	371	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	372	ENDDO
	373	!
	374	!-- Urban surfaces
	375	DO m = 1, surf_usm_h%ns
	376	i = surf_usm_h%i(m)
	377	j = surf_usm_h%j(m)
	378	k = surf_usm_h%k(m)
	379	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	380	ENDDO
	381	!
	382	!-- Vertical surfaces
	383	DO l = 0, 3
	384	!
	385	!-- Default surfaces
	386	DO m = 1, surf_def_v(l)%ns
	387	i = surf_def_v(l)%i(m)
	388	j = surf_def_v(l)%j(m)
	389	k = surf_def_v(l)%k(m)
	390	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	391	ENDDO
	392	!
	393	!-- Natural surfaces
	394	DO m = 1, surf_lsm_v(l)%ns
	395	i = surf_lsm_v(l)%i(m)
	396	j = surf_lsm_v(l)%j(m)
	397	k = surf_lsm_v(l)%k(m)
	398	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	399	ENDDO
	400	!
	401	!-- Urban surfaces
	402	DO m = 1, surf_usm_v(l)%ns
	403	i = surf_usm_v(l)%i(m)
	404	j = surf_usm_v(l)%j(m)
	405	k = surf_usm_v(l)%k(m)
	406	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	407	ENDDO
	408	ENDDO
[2696]	409	ENDIF
[2232]	410
[1762]	411	IF ( .NOT. nest_domain ) THEN
	412	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[2938]	413	!
	414	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	415	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	416	!-- top child boundaries.
	417	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	418	!-- is treated in the nesting.
	419	ELSE
	420
	421	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	422
	423
	424
	425	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	426	IF ( nest_bound_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	427	IF ( nest_bound_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	428	IF ( nest_bound_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	429	IF ( nest_bound_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	430
	431	ENDIF
[1762]	432	ENDIF
[1113]	433	ENDIF
	434
	435	!
[2938]	436	!-- Boundary conditions for TKE dissipation rate.
[3129]	437	IF ( rans_tke_e ) THEN
	438	!
	439	!-- Use wall function within constant-flux layer
	440	!-- Upward-facing surfaces
	441	!-- Default surfaces
	442	DO m = 1, surf_def_h(0)%ns
	443	i = surf_def_h(0)%i(m)
	444	j = surf_def_h(0)%j(m)
	445	k = surf_def_h(0)%k(m)
	446	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	447	/ ( kappa * surf_def_h(0)%z_mo(m) )
	448	ENDDO
	449	!
	450	!-- Natural surfaces
	451	DO m = 1, surf_lsm_h%ns
	452	i = surf_lsm_h%i(m)
	453	j = surf_lsm_h%j(m)
	454	k = surf_lsm_h%k(m)
	455	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	456	/ ( kappa * surf_lsm_h%z_mo(m) )
	457	ENDDO
	458	!
	459	!-- Urban surfaces
	460	DO m = 1, surf_usm_h%ns
	461	i = surf_usm_h%i(m)
	462	j = surf_usm_h%j(m)
	463	k = surf_usm_h%k(m)
	464	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	465	/ ( kappa * surf_usm_h%z_mo(m) )
	466	ENDDO
	467	!
	468	!-- Vertical surfaces
	469	DO l = 0, 3
	470	!
	471	!-- Default surfaces
	472	DO m = 1, surf_def_v(l)%ns
	473	i = surf_def_v(l)%i(m)
	474	j = surf_def_v(l)%j(m)
	475	k = surf_def_v(l)%k(m)
	476	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	477	/ ( kappa * surf_def_v(l)%z_mo(m) )
	478	ENDDO
	479	!
	480	!-- Natural surfaces
	481	DO m = 1, surf_lsm_v(l)%ns
	482	i = surf_lsm_v(l)%i(m)
	483	j = surf_lsm_v(l)%j(m)
	484	k = surf_lsm_v(l)%k(m)
	485	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	486	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	487	ENDDO
	488	!
	489	!-- Urban surfaces
	490	DO m = 1, surf_usm_v(l)%ns
	491	i = surf_usm_v(l)%i(m)
	492	j = surf_usm_v(l)%j(m)
	493	k = surf_usm_v(l)%k(m)
	494	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	495	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	496	ENDDO
	497	ENDDO
	498	!
	499	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	500	!-- minimum value
	501	DO i = nxl, nxr
	502	DO j = nys, nyn
	503	DO k = nzb, nzt+1
	504	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	505	2.0_wp * diss(k,j,i) ), &
	506	0.1_wp * diss(k,j,i), &
	507	0.0001_wp )
	508	ENDDO
	509	ENDDO
	510	ENDDO
	511
	512	IF ( .NOT. nest_domain ) THEN
	513	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	514	ENDIF
[2696]	515	ENDIF
	516
	517	!
[1113]	518	!-- Boundary conditions for salinity
	519	IF ( ocean ) THEN
	520	!
	521	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	522	!-- given.
	523	DO l = 0, 1
	524	!
	525	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	526	!-- for downward-facing surfaces at topography bottom (k+1).
	527	kb = MERGE( -1, 1, l == 0 )
	528	!$OMP PARALLEL DO PRIVATE( i, j, k )
	529	DO m = 1, bc_h(l)%ns
	530	i = bc_h(l)%i(m)
	531	j = bc_h(l)%j(m)
	532	k = bc_h(l)%k(m)
	533	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	534	ENDDO
[1113]	535	ENDDO
[1]	536	!
[1113]	537	!-- Top boundary: Dirichlet or Neumann
	538	IF ( ibc_sa_t == 0 ) THEN
	539	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	540	ELSEIF ( ibc_sa_t == 1 ) THEN
	541	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	542	ENDIF
	543
[1113]	544	ENDIF
	545
[1]	546	!
[1960]	547	!-- Boundary conditions for total water content,
[1113]	548	!-- bottom and top boundary (see also temperature)
[1960]	549	IF ( humidity ) THEN
[1113]	550	!
	551	!-- Surface conditions for constant_humidity_flux
[2232]	552	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	553	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	554	!-- q_p at k-1
[1113]	555	IF ( ibc_q_b == 0 ) THEN
[2232]	556
	557	DO l = 0, 1
	558	!
	559	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	560	!-- for downward-facing surfaces at topography bottom (k+1).
	561	kb = MERGE( -1, 1, l == 0 )
	562	!$OMP PARALLEL DO PRIVATE( i, j, k )
	563	DO m = 1, bc_h(l)%ns
	564	i = bc_h(l)%i(m)
	565	j = bc_h(l)%j(m)
	566	k = bc_h(l)%k(m)
	567	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	568	ENDDO
	569	ENDDO
[2232]	570
[1113]	571	ELSE
[2232]	572
	573	DO l = 0, 1
	574	!
	575	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	576	!-- for downward-facing surfaces at topography bottom (k+1).
	577	kb = MERGE( -1, 1, l == 0 )
	578	!$OMP PARALLEL DO PRIVATE( i, j, k )
	579	DO m = 1, bc_h(l)%ns
	580	i = bc_h(l)%i(m)
	581	j = bc_h(l)%j(m)
	582	k = bc_h(l)%k(m)
	583	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	584	ENDDO
	585	ENDDO
[1113]	586	ENDIF
[95]	587	!
[1113]	588	!-- Top boundary
[1462]	589	IF ( ibc_q_t == 0 ) THEN
	590	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	591	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	592	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	593	ENDIF
[95]	594
[2292]	595	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	596	!
	597	!-- Surface conditions cloud water (Dirichlet)
	598	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	599	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	600	!-- qr_p and nr_p at k-1
	601	!$OMP PARALLEL DO PRIVATE( i, j, k )
	602	DO m = 1, bc_h(0)%ns
	603	i = bc_h(0)%i(m)
	604	j = bc_h(0)%j(m)
	605	k = bc_h(0)%k(m)
	606	qc_p(k-1,j,i) = 0.0_wp
	607	nc_p(k-1,j,i) = 0.0_wp
	608	ENDDO
	609	!
	610	!-- Top boundary condition for cloud water (Dirichlet)
	611	qc_p(nzt+1,:,:) = 0.0_wp
	612	nc_p(nzt+1,:,:) = 0.0_wp
	613
	614	ENDIF
	615
[1822]	616	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	617	!
[1361]	618	!-- Surface conditions rain water (Dirichlet)
[2232]	619	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	620	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	621	!-- qr_p and nr_p at k-1
	622	!$OMP PARALLEL DO PRIVATE( i, j, k )
	623	DO m = 1, bc_h(0)%ns
	624	i = bc_h(0)%i(m)
	625	j = bc_h(0)%j(m)
	626	k = bc_h(0)%k(m)
	627	qr_p(k-1,j,i) = 0.0_wp
	628	nr_p(k-1,j,i) = 0.0_wp
[1115]	629	ENDDO
[1]	630	!
[1361]	631	!-- Top boundary condition for rain water (Dirichlet)
	632	qr_p(nzt+1,:,:) = 0.0_wp
	633	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	634
[1]	635	ENDIF
[1409]	636	ENDIF
[1]	637	!
[1960]	638	!-- Boundary conditions for scalar,
	639	!-- bottom and top boundary (see also temperature)
	640	IF ( passive_scalar ) THEN
	641	!
	642	!-- Surface conditions for constant_humidity_flux
[2232]	643	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	644	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	645	!-- s_p at k-1
[1960]	646	IF ( ibc_s_b == 0 ) THEN
[2232]	647
	648	DO l = 0, 1
	649	!
	650	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	651	!-- for downward-facing surfaces at topography bottom (k+1).
	652	kb = MERGE( -1, 1, l == 0 )
	653	!$OMP PARALLEL DO PRIVATE( i, j, k )
	654	DO m = 1, bc_h(l)%ns
	655	i = bc_h(l)%i(m)
	656	j = bc_h(l)%j(m)
	657	k = bc_h(l)%k(m)
	658	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	659	ENDDO
	660	ENDDO
[2232]	661
[1960]	662	ELSE
[2232]	663
	664	DO l = 0, 1
	665	!
	666	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	667	!-- for downward-facing surfaces at topography bottom (k+1).
	668	kb = MERGE( -1, 1, l == 0 )
	669	!$OMP PARALLEL DO PRIVATE( i, j, k )
	670	DO m = 1, bc_h(l)%ns
	671	i = bc_h(l)%i(m)
	672	j = bc_h(l)%j(m)
	673	k = bc_h(l)%k(m)
	674	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	675	ENDDO
	676	ENDDO
	677	ENDIF
	678	!
[1992]	679	!-- Top boundary condition
	680	IF ( ibc_s_t == 0 ) THEN
[1960]	681	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	682	ELSEIF ( ibc_s_t == 1 ) THEN
	683	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	684	ELSEIF ( ibc_s_t == 2 ) THEN
	685	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	686	ENDIF
	687
	688	ENDIF
	689	!
[2696]	690	!-- Top/bottom boundary conditions for chemical species
	691	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	692	!
[1762]	693	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	694	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	695	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	696	!-- version) these levels are handled as a prognostic level, boundary values
	697	!-- have to be restored here.
[1409]	698	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	699	IF ( inflow_s ) THEN
	700	v_p(:,nys,:) = v_p(:,nys-1,:)
	701	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	702	ELSEIF ( inflow_n ) THEN
	703	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	704	ELSEIF ( inflow_l ) THEN
	705	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	706	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	707	ELSEIF ( inflow_r ) THEN
	708	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	709	ENDIF
[1]	710
	711	!
[1762]	712	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	713	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	714	!-- mode as in that case the lateral boundaries are actually cyclic.
[2696]	715	IF ( nesting_mode /= 'vertical' .OR. forcing ) THEN
	716	IF ( nest_bound_s .OR. force_bound_s ) THEN
[1933]	717	v_p(:,nys,:) = v_p(:,nys-1,:)
	718	ENDIF
[2696]	719	IF ( nest_bound_l .OR. force_bound_l ) THEN
[1933]	720	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	721	ENDIF
[1762]	722	ENDIF
	723
	724	!
[1409]	725	!-- Lateral boundary conditions for scalar quantities at the outflow
	726	IF ( outflow_s ) THEN
	727	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	728	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	729	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	730	IF ( humidity ) THEN
[1409]	731	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	732	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	733	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	734	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	735	ENDIF
[1822]	736	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	737	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	738	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	739	ENDIF
[1409]	740	ENDIF
[1960]	741	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	742	ELSEIF ( outflow_n ) THEN
	743	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	744	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	745	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	746	IF ( humidity ) THEN
[1409]	747	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	748	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	749	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	750	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	751	ENDIF
[1822]	752	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	753	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	754	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	755	ENDIF
[1409]	756	ENDIF
[1960]	757	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	758	ELSEIF ( outflow_l ) THEN
	759	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	760	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	761	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	762	IF ( humidity ) THEN
[1409]	763	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	764	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	765	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	766	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	767	ENDIF
[1822]	768	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	769	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	770	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	771	ENDIF
[1409]	772	ENDIF
[1960]	773	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	774	ELSEIF ( outflow_r ) THEN
	775	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	776	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	777	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	778	IF ( humidity ) THEN
[1409]	779	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	780	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	781	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	782	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	783	ENDIF
[1822]	784	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	785	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	786	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	787	ENDIF
[1]	788	ENDIF
[1960]	789	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	790	ENDIF
	791
	792	!
[2696]	793	!-- Lateral boundary conditions for chemical species
	794	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	795
	796	!
[1159]	797	!-- Radiation boundary conditions for the velocities at the respective outflow.
	798	!-- The phase velocity is either assumed to the maximum phase velocity that
	799	!-- ensures numerical stability (CFL-condition) or calculated after
	800	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	801	IF ( outflow_s ) THEN
[75]	802
[1159]	803	IF ( use_cmax ) THEN
	804	u_p(:,-1,:) = u(:,0,:)
	805	v_p(:,0,:) = v(:,1,:)
	806	w_p(:,-1,:) = w(:,0,:)
	807	ELSEIF ( .NOT. use_cmax ) THEN
[75]	808
[978]	809	c_max = dy / dt_3d
[75]	810
[1353]	811	c_u_m_l = 0.0_wp
	812	c_v_m_l = 0.0_wp
	813	c_w_m_l = 0.0_wp
[978]	814
[1353]	815	c_u_m = 0.0_wp
	816	c_v_m = 0.0_wp
	817	c_w_m = 0.0_wp
[978]	818
[75]	819	!
[996]	820	!-- Calculate the phase speeds for u, v, and w, first local and then
	821	!-- average along the outflow boundary.
	822	DO k = nzb+1, nzt+1
	823	DO i = nxl, nxr
[75]	824
[106]	825	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	826
[1353]	827	IF ( denom /= 0.0_wp ) THEN
[996]	828	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	829	IF ( c_u(k,i) < 0.0_wp ) THEN
	830	c_u(k,i) = 0.0_wp
[106]	831	ELSEIF ( c_u(k,i) > c_max ) THEN
	832	c_u(k,i) = c_max
	833	ENDIF
	834	ELSE
	835	c_u(k,i) = c_max
[75]	836	ENDIF
	837
[106]	838	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	839
[1353]	840	IF ( denom /= 0.0_wp ) THEN
[996]	841	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	842	IF ( c_v(k,i) < 0.0_wp ) THEN
	843	c_v(k,i) = 0.0_wp
[106]	844	ELSEIF ( c_v(k,i) > c_max ) THEN
	845	c_v(k,i) = c_max
	846	ENDIF
	847	ELSE
	848	c_v(k,i) = c_max
[75]	849	ENDIF
	850
[106]	851	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	852
[1353]	853	IF ( denom /= 0.0_wp ) THEN
[996]	854	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	855	IF ( c_w(k,i) < 0.0_wp ) THEN
	856	c_w(k,i) = 0.0_wp
[106]	857	ELSEIF ( c_w(k,i) > c_max ) THEN
	858	c_w(k,i) = c_max
	859	ENDIF
	860	ELSE
	861	c_w(k,i) = c_max
[75]	862	ENDIF
[106]	863
[978]	864	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	865	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	866	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	867
[978]	868	ENDDO
	869	ENDDO
[75]	870
[978]	871	#if defined( __parallel )
	872	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	873	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	874	MPI_SUM, comm1dx, ierr )
	875	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	876	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	877	MPI_SUM, comm1dx, ierr )
	878	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	879	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	880	MPI_SUM, comm1dx, ierr )
	881	#else
	882	c_u_m = c_u_m_l
	883	c_v_m = c_v_m_l
	884	c_w_m = c_w_m_l
	885	#endif
	886
	887	c_u_m = c_u_m / (nx+1)
	888	c_v_m = c_v_m / (nx+1)
	889	c_w_m = c_w_m / (nx+1)
	890
[75]	891	!
[978]	892	!-- Save old timelevels for the next timestep
	893	IF ( intermediate_timestep_count == 1 ) THEN
	894	u_m_s(:,:,:) = u(:,0:1,:)
	895	v_m_s(:,:,:) = v(:,1:2,:)
	896	w_m_s(:,:,:) = w(:,0:1,:)
	897	ENDIF
	898
	899	!
	900	!-- Calculate the new velocities
[996]	901	DO k = nzb+1, nzt+1
	902	DO i = nxlg, nxrg
[978]	903	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	904	( u(k,-1,i) - u(k,0,i) ) * ddy
	905
[978]	906	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	907	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	908
[978]	909	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	910	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	911	ENDDO
[75]	912	ENDDO
	913
	914	!
[978]	915	!-- Bottom boundary at the outflow
	916	IF ( ibc_uv_b == 0 ) THEN
[1353]	917	u_p(nzb,-1,:) = 0.0_wp
	918	v_p(nzb,0,:) = 0.0_wp
[978]	919	ELSE
	920	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	921	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	922	ENDIF
[1353]	923	w_p(nzb,-1,:) = 0.0_wp
[73]	924
[75]	925	!
[978]	926	!-- Top boundary at the outflow
	927	IF ( ibc_uv_t == 0 ) THEN
	928	u_p(nzt+1,-1,:) = u_init(nzt+1)
	929	v_p(nzt+1,0,:) = v_init(nzt+1)
	930	ELSE
[1742]	931	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	932	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	933	ENDIF
[1353]	934	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	935
[75]	936	ENDIF
[73]	937
[75]	938	ENDIF
[73]	939
[106]	940	IF ( outflow_n ) THEN
[73]	941
[1159]	942	IF ( use_cmax ) THEN
	943	u_p(:,ny+1,:) = u(:,ny,:)
	944	v_p(:,ny+1,:) = v(:,ny,:)
	945	w_p(:,ny+1,:) = w(:,ny,:)
	946	ELSEIF ( .NOT. use_cmax ) THEN
[75]	947
[978]	948	c_max = dy / dt_3d
[75]	949
[1353]	950	c_u_m_l = 0.0_wp
	951	c_v_m_l = 0.0_wp
	952	c_w_m_l = 0.0_wp
[978]	953
[1353]	954	c_u_m = 0.0_wp
	955	c_v_m = 0.0_wp
	956	c_w_m = 0.0_wp
[978]	957
[1]	958	!
[996]	959	!-- Calculate the phase speeds for u, v, and w, first local and then
	960	!-- average along the outflow boundary.
	961	DO k = nzb+1, nzt+1
	962	DO i = nxl, nxr
[73]	963
[106]	964	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	965
[1353]	966	IF ( denom /= 0.0_wp ) THEN
[996]	967	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	968	IF ( c_u(k,i) < 0.0_wp ) THEN
	969	c_u(k,i) = 0.0_wp
[106]	970	ELSEIF ( c_u(k,i) > c_max ) THEN
	971	c_u(k,i) = c_max
	972	ENDIF
	973	ELSE
	974	c_u(k,i) = c_max
[73]	975	ENDIF
	976
[106]	977	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	978
[1353]	979	IF ( denom /= 0.0_wp ) THEN
[996]	980	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	981	IF ( c_v(k,i) < 0.0_wp ) THEN
	982	c_v(k,i) = 0.0_wp
[106]	983	ELSEIF ( c_v(k,i) > c_max ) THEN
	984	c_v(k,i) = c_max
	985	ENDIF
	986	ELSE
	987	c_v(k,i) = c_max
[73]	988	ENDIF
	989
[106]	990	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	991
[1353]	992	IF ( denom /= 0.0_wp ) THEN
[996]	993	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	994	IF ( c_w(k,i) < 0.0_wp ) THEN
	995	c_w(k,i) = 0.0_wp
[106]	996	ELSEIF ( c_w(k,i) > c_max ) THEN
	997	c_w(k,i) = c_max
	998	ENDIF
	999	ELSE
	1000	c_w(k,i) = c_max
[73]	1001	ENDIF
[106]	1002
[978]	1003	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1004	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1005	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1006
[978]	1007	ENDDO
	1008	ENDDO
[73]	1009
[978]	1010	#if defined( __parallel )
	1011	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1012	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1013	MPI_SUM, comm1dx, ierr )
	1014	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1015	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1016	MPI_SUM, comm1dx, ierr )
	1017	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1018	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1019	MPI_SUM, comm1dx, ierr )
	1020	#else
	1021	c_u_m = c_u_m_l
	1022	c_v_m = c_v_m_l
	1023	c_w_m = c_w_m_l
	1024	#endif
	1025
	1026	c_u_m = c_u_m / (nx+1)
	1027	c_v_m = c_v_m / (nx+1)
	1028	c_w_m = c_w_m / (nx+1)
	1029
[73]	1030	!
[978]	1031	!-- Save old timelevels for the next timestep
	1032	IF ( intermediate_timestep_count == 1 ) THEN
	1033	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1034	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1035	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1036	ENDIF
[73]	1037
[978]	1038	!
	1039	!-- Calculate the new velocities
[996]	1040	DO k = nzb+1, nzt+1
	1041	DO i = nxlg, nxrg
[978]	1042	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1043	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1044
[978]	1045	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1046	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1047
[978]	1048	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1049	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1050	ENDDO
[1]	1051	ENDDO
	1052
	1053	!
[978]	1054	!-- Bottom boundary at the outflow
	1055	IF ( ibc_uv_b == 0 ) THEN
[1353]	1056	u_p(nzb,ny+1,:) = 0.0_wp
	1057	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1058	ELSE
	1059	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1060	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1061	ENDIF
[1353]	1062	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1063
	1064	!
[978]	1065	!-- Top boundary at the outflow
	1066	IF ( ibc_uv_t == 0 ) THEN
	1067	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1068	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1069	ELSE
	1070	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1071	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1072	ENDIF
[1353]	1073	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1074
[1]	1075	ENDIF
	1076
[75]	1077	ENDIF
	1078
[106]	1079	IF ( outflow_l ) THEN
[75]	1080
[1159]	1081	IF ( use_cmax ) THEN
[1717]	1082	u_p(:,:,0) = u(:,:,1)
	1083	v_p(:,:,-1) = v(:,:,0)
[1159]	1084	w_p(:,:,-1) = w(:,:,0)
	1085	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1086
[978]	1087	c_max = dx / dt_3d
[75]	1088
[1353]	1089	c_u_m_l = 0.0_wp
	1090	c_v_m_l = 0.0_wp
	1091	c_w_m_l = 0.0_wp
[978]	1092
[1353]	1093	c_u_m = 0.0_wp
	1094	c_v_m = 0.0_wp
	1095	c_w_m = 0.0_wp
[978]	1096
[1]	1097	!
[996]	1098	!-- Calculate the phase speeds for u, v, and w, first local and then
	1099	!-- average along the outflow boundary.
	1100	DO k = nzb+1, nzt+1
	1101	DO j = nys, nyn
[75]	1102
[106]	1103	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1104
[1353]	1105	IF ( denom /= 0.0_wp ) THEN
[996]	1106	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1107	IF ( c_u(k,j) < 0.0_wp ) THEN
	1108	c_u(k,j) = 0.0_wp
[107]	1109	ELSEIF ( c_u(k,j) > c_max ) THEN
	1110	c_u(k,j) = c_max
[106]	1111	ENDIF
	1112	ELSE
[107]	1113	c_u(k,j) = c_max
[75]	1114	ENDIF
	1115
[106]	1116	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1117
[1353]	1118	IF ( denom /= 0.0_wp ) THEN
[996]	1119	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1120	IF ( c_v(k,j) < 0.0_wp ) THEN
	1121	c_v(k,j) = 0.0_wp
[106]	1122	ELSEIF ( c_v(k,j) > c_max ) THEN
	1123	c_v(k,j) = c_max
	1124	ENDIF
	1125	ELSE
	1126	c_v(k,j) = c_max
[75]	1127	ENDIF
	1128
[106]	1129	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1130
[1353]	1131	IF ( denom /= 0.0_wp ) THEN
[996]	1132	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1133	IF ( c_w(k,j) < 0.0_wp ) THEN
	1134	c_w(k,j) = 0.0_wp
[106]	1135	ELSEIF ( c_w(k,j) > c_max ) THEN
	1136	c_w(k,j) = c_max
	1137	ENDIF
	1138	ELSE
	1139	c_w(k,j) = c_max
[75]	1140	ENDIF
[106]	1141
[978]	1142	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1143	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1144	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1145
[978]	1146	ENDDO
	1147	ENDDO
[75]	1148
[978]	1149	#if defined( __parallel )
	1150	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1151	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1152	MPI_SUM, comm1dy, ierr )
	1153	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1154	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1155	MPI_SUM, comm1dy, ierr )
	1156	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1157	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1158	MPI_SUM, comm1dy, ierr )
	1159	#else
	1160	c_u_m = c_u_m_l
	1161	c_v_m = c_v_m_l
	1162	c_w_m = c_w_m_l
	1163	#endif
	1164
	1165	c_u_m = c_u_m / (ny+1)
	1166	c_v_m = c_v_m / (ny+1)
	1167	c_w_m = c_w_m / (ny+1)
	1168
[73]	1169	!
[978]	1170	!-- Save old timelevels for the next timestep
	1171	IF ( intermediate_timestep_count == 1 ) THEN
	1172	u_m_l(:,:,:) = u(:,:,1:2)
	1173	v_m_l(:,:,:) = v(:,:,0:1)
	1174	w_m_l(:,:,:) = w(:,:,0:1)
	1175	ENDIF
	1176
	1177	!
	1178	!-- Calculate the new velocities
[996]	1179	DO k = nzb+1, nzt+1
[1113]	1180	DO j = nysg, nyng
[978]	1181	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1182	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1183
[978]	1184	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1185	( v(k,j,-1) - v(k,j,0) ) * ddx
	1186
[978]	1187	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1188	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1189	ENDDO
[75]	1190	ENDDO
	1191
	1192	!
[978]	1193	!-- Bottom boundary at the outflow
	1194	IF ( ibc_uv_b == 0 ) THEN
[1353]	1195	u_p(nzb,:,0) = 0.0_wp
	1196	v_p(nzb,:,-1) = 0.0_wp
[978]	1197	ELSE
	1198	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1199	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1200	ENDIF
[1353]	1201	w_p(nzb,:,-1) = 0.0_wp
[1]	1202
[75]	1203	!
[978]	1204	!-- Top boundary at the outflow
	1205	IF ( ibc_uv_t == 0 ) THEN
[1764]	1206	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1207	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1208	ELSE
[1764]	1209	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1210	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1211	ENDIF
[1353]	1212	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1213
[75]	1214	ENDIF
[73]	1215
[75]	1216	ENDIF
[73]	1217
[106]	1218	IF ( outflow_r ) THEN
[73]	1219
[1159]	1220	IF ( use_cmax ) THEN
	1221	u_p(:,:,nx+1) = u(:,:,nx)
	1222	v_p(:,:,nx+1) = v(:,:,nx)
	1223	w_p(:,:,nx+1) = w(:,:,nx)
	1224	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1225
[978]	1226	c_max = dx / dt_3d
[75]	1227
[1353]	1228	c_u_m_l = 0.0_wp
	1229	c_v_m_l = 0.0_wp
	1230	c_w_m_l = 0.0_wp
[978]	1231
[1353]	1232	c_u_m = 0.0_wp
	1233	c_v_m = 0.0_wp
	1234	c_w_m = 0.0_wp
[978]	1235
[1]	1236	!
[996]	1237	!-- Calculate the phase speeds for u, v, and w, first local and then
	1238	!-- average along the outflow boundary.
	1239	DO k = nzb+1, nzt+1
	1240	DO j = nys, nyn
[73]	1241
[106]	1242	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1243
[1353]	1244	IF ( denom /= 0.0_wp ) THEN
[996]	1245	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1246	IF ( c_u(k,j) < 0.0_wp ) THEN
	1247	c_u(k,j) = 0.0_wp
[106]	1248	ELSEIF ( c_u(k,j) > c_max ) THEN
	1249	c_u(k,j) = c_max
	1250	ENDIF
	1251	ELSE
	1252	c_u(k,j) = c_max
[73]	1253	ENDIF
	1254
[106]	1255	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1256
[1353]	1257	IF ( denom /= 0.0_wp ) THEN
[996]	1258	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1259	IF ( c_v(k,j) < 0.0_wp ) THEN
	1260	c_v(k,j) = 0.0_wp
[106]	1261	ELSEIF ( c_v(k,j) > c_max ) THEN
	1262	c_v(k,j) = c_max
	1263	ENDIF
	1264	ELSE
	1265	c_v(k,j) = c_max
[73]	1266	ENDIF
	1267
[106]	1268	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1269
[1353]	1270	IF ( denom /= 0.0_wp ) THEN
[996]	1271	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1272	IF ( c_w(k,j) < 0.0_wp ) THEN
	1273	c_w(k,j) = 0.0_wp
[106]	1274	ELSEIF ( c_w(k,j) > c_max ) THEN
	1275	c_w(k,j) = c_max
	1276	ENDIF
	1277	ELSE
	1278	c_w(k,j) = c_max
[73]	1279	ENDIF
[106]	1280
[978]	1281	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1282	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1283	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1284
[978]	1285	ENDDO
	1286	ENDDO
[73]	1287
[978]	1288	#if defined( __parallel )
	1289	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1290	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1291	MPI_SUM, comm1dy, ierr )
	1292	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1293	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1294	MPI_SUM, comm1dy, ierr )
	1295	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1296	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1297	MPI_SUM, comm1dy, ierr )
	1298	#else
	1299	c_u_m = c_u_m_l
	1300	c_v_m = c_v_m_l
	1301	c_w_m = c_w_m_l
	1302	#endif
	1303
	1304	c_u_m = c_u_m / (ny+1)
	1305	c_v_m = c_v_m / (ny+1)
	1306	c_w_m = c_w_m / (ny+1)
	1307
[73]	1308	!
[978]	1309	!-- Save old timelevels for the next timestep
	1310	IF ( intermediate_timestep_count == 1 ) THEN
	1311	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1312	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1313	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1314	ENDIF
[73]	1315
[978]	1316	!
	1317	!-- Calculate the new velocities
[996]	1318	DO k = nzb+1, nzt+1
[1113]	1319	DO j = nysg, nyng
[978]	1320	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1321	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1322
[978]	1323	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1324	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1325
[978]	1326	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1327	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1328	ENDDO
[73]	1329	ENDDO
	1330
	1331	!
[978]	1332	!-- Bottom boundary at the outflow
	1333	IF ( ibc_uv_b == 0 ) THEN
[1353]	1334	u_p(nzb,:,nx+1) = 0.0_wp
	1335	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1336	ELSE
	1337	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1338	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1339	ENDIF
[1353]	1340	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1341
	1342	!
[978]	1343	!-- Top boundary at the outflow
	1344	IF ( ibc_uv_t == 0 ) THEN
	1345	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1346	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1347	ELSE
	1348	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1349	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1350	ENDIF
[1742]	1351	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1352
[1]	1353	ENDIF
	1354
	1355	ENDIF
	1356
	1357	END SUBROUTINE boundary_conds

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