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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1682

Last change on this file since 1682 was 1682, checked in by knoop, 9 years ago
Code annotations made doxygen readable
Property svn:keywords set to `Id`
File size: 31.3 KB

Rev	Line
[1682]	1	!> @file boundary_conds.f90
[1036]	2	!--------------------------------------------------------------------------------!
	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
[1310]	16	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1]	20	! -----------------
[1682]	21	! Code annotations made doxygen readable
[1354]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: boundary_conds.f90 1682 2015-10-07 23:56:08Z knoop $
	26	!
[1463]	27	!1410 2014-05-23 12:16:18Z suehring
	28	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	29	! top
	30	!
[1410]	31	! 1399 2014-05-07 11:16:25Z heinze
	32	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	33	! is used.
	34	!
[1399]	35	! 1398 2014-05-07 11:15:00Z heinze
	36	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	37	! for large_scale_forcing
	38	!
[1381]	39	! 1380 2014-04-28 12:40:45Z heinze
	40	! Adjust Dirichlet-condition at the top for pt in case of nudging
	41	!
[1362]	42	! 1361 2014-04-16 15:17:48Z hoffmann
	43	! Bottom and top boundary conditions of rain water content (qr) and
	44	! rain drop concentration (nr) changed to Dirichlet
	45	!
[1354]	46	! 1353 2014-04-08 15:21:23Z heinze
	47	! REAL constants provided with KIND-attribute
	48	!
[1321]	49	! 1320 2014-03-20 08:40:49Z raasch
[1320]	50	! ONLY-attribute added to USE-statements,
	51	! kind-parameters added to all INTEGER and REAL declaration statements,
	52	! kinds are defined in new module kinds,
	53	! revision history before 2012 removed,
	54	! comment fields (!:) to be used for variable explanations added to
	55	! all variable declaration statements
[1160]	56	!
[1258]	57	! 1257 2013-11-08 15:18:40Z raasch
	58	! loop independent clauses added
	59	!
[1242]	60	! 1241 2013-10-30 11:36:58Z heinze
	61	! Adjust ug and vg at each timestep in case of large_scale_forcing
	62	!
[1160]	63	! 1159 2013-05-21 11:58:22Z fricke
[1159]	64	! Bugfix: Neumann boundary conditions for the velocity components at the
	65	! outflow are in fact radiation boundary conditions using the maximum phase
	66	! velocity that ensures numerical stability (CFL-condition).
	67	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	68	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	69	! u_p, v_p, w_p
[1116]	70	!
	71	! 1115 2013-03-26 18:16:16Z hoffmann
	72	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	73	! boundary-conditions
	74	!
[1114]	75	! 1113 2013-03-10 02:48:14Z raasch
	76	! GPU-porting
	77	! dummy argument "range" removed
	78	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	79	!
[1054]	80	! 1053 2012-11-13 17:11:03Z hoffmann
	81	! boundary conditions for the two new prognostic equations (nr, qr) of the
	82	! two-moment cloud scheme
	83	!
[1037]	84	! 1036 2012-10-22 13:43:42Z raasch
	85	! code put under GPL (PALM 3.9)
	86	!
[997]	87	! 996 2012-09-07 10:41:47Z raasch
	88	! little reformatting
	89	!
[979]	90	! 978 2012-08-09 08:28:32Z fricke
	91	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	92	! Outflow boundary conditions for the velocity components can be set to Neumann
	93	! conditions or to radiation conditions with a horizontal averaged phase
	94	! velocity.
	95	!
[876]	96	! 875 2012-04-02 15:35:15Z gryschka
	97	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	98	!
[1]	99	! Revision 1.1 1997/09/12 06:21:34 raasch
	100	! Initial revision
	101	!
	102	!
	103	! Description:
	104	! ------------
[1682]	105	!> Boundary conditions for the prognostic quantities.
	106	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	107	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	108	!> handled in routine exchange_horiz. Pressure boundary conditions are
	109	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	110	!------------------------------------------------------------------------------!
[1682]	111	SUBROUTINE boundary_conds
	112
[1]	113
[1320]	114	USE arrays_3d, &
	115	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, &
	116	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
	117	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	118	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1380]	119	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
	120	pt_init
[1320]	121
	122	USE control_parameters, &
	123	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
	124	cloud_physics, dt_3d, humidity, &
[1462]	125	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
	126	ibc_uv_t, icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s,&
[1320]	127	intermediate_timestep_count, large_scale_forcing, ocean, &
	128	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
[1380]	129	precipitation, tsc, use_cmax, &
	130	nudging
[1320]	131
	132	USE grid_variables, &
	133	ONLY: ddx, ddy, dx, dy
	134
	135	USE indices, &
	136	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	137	nzb, nzb_s_inner, nzb_w_inner, nzt
	138
	139	USE kinds
	140
[1]	141	USE pegrid
	142
[1320]	143
[1]	144	IMPLICIT NONE
	145
[1682]	146	INTEGER(iwp) :: i !<
	147	INTEGER(iwp) :: j !<
	148	INTEGER(iwp) :: k !<
[1]	149
[1682]	150	REAL(wp) :: c_max !<
	151	REAL(wp) :: denom !<
[1]	152
[73]	153
[1]	154	!
[1113]	155	!-- Bottom boundary
	156	IF ( ibc_uv_b == 1 ) THEN
	157	!$acc kernels present( u_p, v_p )
	158	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	159	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	160	!$acc end kernels
	161	ENDIF
	162
	163	!$acc kernels present( nzb_w_inner, w_p )
	164	DO i = nxlg, nxrg
	165	DO j = nysg, nyng
[1353]	166	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	167	ENDDO
	168	ENDDO
	169	!$acc end kernels
	170
	171	!
	172	!-- Top boundary
	173	IF ( ibc_uv_t == 0 ) THEN
	174	!$acc kernels present( u_init, u_p, v_init, v_p )
	175	u_p(nzt+1,:,:) = u_init(nzt+1)
	176	v_p(nzt+1,:,:) = v_init(nzt+1)
	177	!$acc end kernels
	178	ELSE
	179	!$acc kernels present( u_p, v_p )
	180	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	181	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	182	!$acc end kernels
	183	ENDIF
	184	!$acc kernels present( w_p )
[1353]	185	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
[1113]	186	!$acc end kernels
	187
	188	!
	189	!-- Temperature at bottom boundary.
	190	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	191	!-- the sea surface temperature of the coupled ocean model.
	192	IF ( ibc_pt_b == 0 ) THEN
	193	!$acc kernels present( nzb_s_inner, pt, pt_p )
[1257]	194	!$acc loop independent
[667]	195	DO i = nxlg, nxrg
[1257]	196	!$acc loop independent
[667]	197	DO j = nysg, nyng
[1113]	198	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	199	ENDDO
	200	ENDDO
[1113]	201	!$acc end kernels
	202	ELSEIF ( ibc_pt_b == 1 ) THEN
	203	!$acc kernels present( nzb_s_inner, pt_p )
[1257]	204	!$acc loop independent
[1113]	205	DO i = nxlg, nxrg
[1257]	206	!$acc loop independent
[1113]	207	DO j = nysg, nyng
	208	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	209	ENDDO
	210	ENDDO
	211	!$acc end kernels
	212	ENDIF
[1]	213
	214	!
[1113]	215	!-- Temperature at top boundary
	216	IF ( ibc_pt_t == 0 ) THEN
	217	!$acc kernels present( pt, pt_p )
	218	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	219	!
	220	!-- In case of nudging adjust top boundary to pt which is
	221	!-- read in from NUDGING-DATA
	222	IF ( nudging ) THEN
	223	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	224	ENDIF
[1113]	225	!$acc end kernels
	226	ELSEIF ( ibc_pt_t == 1 ) THEN
	227	!$acc kernels present( pt_p )
	228	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	229	!$acc end kernels
	230	ELSEIF ( ibc_pt_t == 2 ) THEN
	231	!$acc kernels present( dzu, pt_p )
	232	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	233	!$acc end kernels
	234	ENDIF
[1]	235
	236	!
[1113]	237	!-- Boundary conditions for TKE
	238	!-- Generally Neumann conditions with de/dz=0 are assumed
	239	IF ( .NOT. constant_diffusion ) THEN
	240	!$acc kernels present( e_p, nzb_s_inner )
[1257]	241	!$acc loop independent
[1113]	242	DO i = nxlg, nxrg
[1257]	243	!$acc loop independent
[1113]	244	DO j = nysg, nyng
	245	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	246	ENDDO
[1113]	247	ENDDO
	248	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	249	!$acc end kernels
	250	ENDIF
	251
	252	!
	253	!-- Boundary conditions for salinity
	254	IF ( ocean ) THEN
	255	!
	256	!-- Bottom boundary: Neumann condition because salinity flux is always
	257	!-- given
	258	DO i = nxlg, nxrg
	259	DO j = nysg, nyng
	260	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	261	ENDDO
[1113]	262	ENDDO
[1]	263
	264	!
[1113]	265	!-- Top boundary: Dirichlet or Neumann
	266	IF ( ibc_sa_t == 0 ) THEN
	267	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	268	ELSEIF ( ibc_sa_t == 1 ) THEN
	269	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	270	ENDIF
	271
[1113]	272	ENDIF
	273
[1]	274	!
[1113]	275	!-- Boundary conditions for total water content or scalar,
	276	!-- bottom and top boundary (see also temperature)
	277	IF ( humidity .OR. passive_scalar ) THEN
	278	!
	279	!-- Surface conditions for constant_humidity_flux
	280	IF ( ibc_q_b == 0 ) THEN
[667]	281	DO i = nxlg, nxrg
	282	DO j = nysg, nyng
[1113]	283	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	284	ENDDO
	285	ENDDO
[1113]	286	ELSE
[667]	287	DO i = nxlg, nxrg
	288	DO j = nysg, nyng
[1113]	289	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	290	ENDDO
	291	ENDDO
[1113]	292	ENDIF
[95]	293	!
[1113]	294	!-- Top boundary
[1462]	295	IF ( ibc_q_t == 0 ) THEN
	296	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	297	ELSEIF ( ibc_q_t == 1 ) THEN
	298	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
	299	ENDIF
[95]	300
[1361]	301	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1113]	302	!
[1361]	303	!-- Surface conditions rain water (Dirichlet)
[1115]	304	DO i = nxlg, nxrg
	305	DO j = nysg, nyng
[1361]	306	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	307	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	308	ENDDO
[1115]	309	ENDDO
[1]	310	!
[1361]	311	!-- Top boundary condition for rain water (Dirichlet)
	312	qr_p(nzt+1,:,:) = 0.0_wp
	313	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	314
[1]	315	ENDIF
[1409]	316	ENDIF
[1]	317	!
[1409]	318	!-- In case of inflow at the south boundary the boundary for v is at nys
	319	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	320	!-- Since in prognostic_equations (cache optimized version) these levels are
	321	!-- handled as a prognostic level, boundary values have to be restored here.
	322	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	323	IF ( inflow_s ) THEN
	324	v_p(:,nys,:) = v_p(:,nys-1,:)
	325	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	326	ELSEIF ( inflow_n ) THEN
	327	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	328	ELSEIF ( inflow_l ) THEN
	329	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	330	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	331	ELSEIF ( inflow_r ) THEN
	332	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	333	ENDIF
[1]	334
	335	!
[1409]	336	!-- Lateral boundary conditions for scalar quantities at the outflow
	337	IF ( outflow_s ) THEN
	338	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	339	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	340	IF ( humidity .OR. passive_scalar ) THEN
	341	q_p(:,nys-1,:) = q_p(:,nys,:)
	342	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	343	precipitation) THEN
	344	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	345	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	346	ENDIF
[1409]	347	ENDIF
	348	ELSEIF ( outflow_n ) THEN
	349	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	350	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	351	IF ( humidity .OR. passive_scalar ) THEN
	352	q_p(:,nyn+1,:) = q_p(:,nyn,:)
	353	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	354	precipitation ) THEN
	355	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	356	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	357	ENDIF
[1409]	358	ENDIF
	359	ELSEIF ( outflow_l ) THEN
	360	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	361	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	362	IF ( humidity .OR. passive_scalar ) THEN
	363	q_p(:,:,nxl-1) = q_p(:,:,nxl)
	364	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	365	precipitation ) THEN
	366	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	367	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	368	ENDIF
[1409]	369	ENDIF
	370	ELSEIF ( outflow_r ) THEN
	371	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	372	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	373	IF ( humidity .OR. passive_scalar ) THEN
	374	q_p(:,:,nxr+1) = q_p(:,:,nxr)
	375	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	376	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	377	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	378	ENDIF
[1]	379	ENDIF
	380	ENDIF
	381
	382	!
[1159]	383	!-- Radiation boundary conditions for the velocities at the respective outflow.
	384	!-- The phase velocity is either assumed to the maximum phase velocity that
	385	!-- ensures numerical stability (CFL-condition) or calculated after
	386	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	387	IF ( outflow_s ) THEN
[75]	388
[1159]	389	IF ( use_cmax ) THEN
	390	u_p(:,-1,:) = u(:,0,:)
	391	v_p(:,0,:) = v(:,1,:)
	392	w_p(:,-1,:) = w(:,0,:)
	393	ELSEIF ( .NOT. use_cmax ) THEN
[75]	394
[978]	395	c_max = dy / dt_3d
[75]	396
[1353]	397	c_u_m_l = 0.0_wp
	398	c_v_m_l = 0.0_wp
	399	c_w_m_l = 0.0_wp
[978]	400
[1353]	401	c_u_m = 0.0_wp
	402	c_v_m = 0.0_wp
	403	c_w_m = 0.0_wp
[978]	404
[75]	405	!
[996]	406	!-- Calculate the phase speeds for u, v, and w, first local and then
	407	!-- average along the outflow boundary.
	408	DO k = nzb+1, nzt+1
	409	DO i = nxl, nxr
[75]	410
[106]	411	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	412
[1353]	413	IF ( denom /= 0.0_wp ) THEN
[996]	414	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	415	IF ( c_u(k,i) < 0.0_wp ) THEN
	416	c_u(k,i) = 0.0_wp
[106]	417	ELSEIF ( c_u(k,i) > c_max ) THEN
	418	c_u(k,i) = c_max
	419	ENDIF
	420	ELSE
	421	c_u(k,i) = c_max
[75]	422	ENDIF
	423
[106]	424	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	425
[1353]	426	IF ( denom /= 0.0_wp ) THEN
[996]	427	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	428	IF ( c_v(k,i) < 0.0_wp ) THEN
	429	c_v(k,i) = 0.0_wp
[106]	430	ELSEIF ( c_v(k,i) > c_max ) THEN
	431	c_v(k,i) = c_max
	432	ENDIF
	433	ELSE
	434	c_v(k,i) = c_max
[75]	435	ENDIF
	436
[106]	437	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	438
[1353]	439	IF ( denom /= 0.0_wp ) THEN
[996]	440	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	441	IF ( c_w(k,i) < 0.0_wp ) THEN
	442	c_w(k,i) = 0.0_wp
[106]	443	ELSEIF ( c_w(k,i) > c_max ) THEN
	444	c_w(k,i) = c_max
	445	ENDIF
	446	ELSE
	447	c_w(k,i) = c_max
[75]	448	ENDIF
[106]	449
[978]	450	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	451	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	452	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	453
[978]	454	ENDDO
	455	ENDDO
[75]	456
[978]	457	#if defined( __parallel )
	458	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	459	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	460	MPI_SUM, comm1dx, ierr )
	461	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	462	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	463	MPI_SUM, comm1dx, ierr )
	464	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	465	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	466	MPI_SUM, comm1dx, ierr )
	467	#else
	468	c_u_m = c_u_m_l
	469	c_v_m = c_v_m_l
	470	c_w_m = c_w_m_l
	471	#endif
	472
	473	c_u_m = c_u_m / (nx+1)
	474	c_v_m = c_v_m / (nx+1)
	475	c_w_m = c_w_m / (nx+1)
	476
[75]	477	!
[978]	478	!-- Save old timelevels for the next timestep
	479	IF ( intermediate_timestep_count == 1 ) THEN
	480	u_m_s(:,:,:) = u(:,0:1,:)
	481	v_m_s(:,:,:) = v(:,1:2,:)
	482	w_m_s(:,:,:) = w(:,0:1,:)
	483	ENDIF
	484
	485	!
	486	!-- Calculate the new velocities
[996]	487	DO k = nzb+1, nzt+1
	488	DO i = nxlg, nxrg
[978]	489	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	490	( u(k,-1,i) - u(k,0,i) ) * ddy
	491
[978]	492	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	493	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	494
[978]	495	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	496	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	497	ENDDO
[75]	498	ENDDO
	499
	500	!
[978]	501	!-- Bottom boundary at the outflow
	502	IF ( ibc_uv_b == 0 ) THEN
[1353]	503	u_p(nzb,-1,:) = 0.0_wp
	504	v_p(nzb,0,:) = 0.0_wp
[978]	505	ELSE
	506	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	507	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	508	ENDIF
[1353]	509	w_p(nzb,-1,:) = 0.0_wp
[73]	510
[75]	511	!
[978]	512	!-- Top boundary at the outflow
	513	IF ( ibc_uv_t == 0 ) THEN
	514	u_p(nzt+1,-1,:) = u_init(nzt+1)
	515	v_p(nzt+1,0,:) = v_init(nzt+1)
	516	ELSE
	517	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	518	v_p(nzt+1,0,:) = v(nzt,0,:)
	519	ENDIF
[1353]	520	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	521
[75]	522	ENDIF
[73]	523
[75]	524	ENDIF
[73]	525
[106]	526	IF ( outflow_n ) THEN
[73]	527
[1159]	528	IF ( use_cmax ) THEN
	529	u_p(:,ny+1,:) = u(:,ny,:)
	530	v_p(:,ny+1,:) = v(:,ny,:)
	531	w_p(:,ny+1,:) = w(:,ny,:)
	532	ELSEIF ( .NOT. use_cmax ) THEN
[75]	533
[978]	534	c_max = dy / dt_3d
[75]	535
[1353]	536	c_u_m_l = 0.0_wp
	537	c_v_m_l = 0.0_wp
	538	c_w_m_l = 0.0_wp
[978]	539
[1353]	540	c_u_m = 0.0_wp
	541	c_v_m = 0.0_wp
	542	c_w_m = 0.0_wp
[978]	543
[1]	544	!
[996]	545	!-- Calculate the phase speeds for u, v, and w, first local and then
	546	!-- average along the outflow boundary.
	547	DO k = nzb+1, nzt+1
	548	DO i = nxl, nxr
[73]	549
[106]	550	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	551
[1353]	552	IF ( denom /= 0.0_wp ) THEN
[996]	553	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	554	IF ( c_u(k,i) < 0.0_wp ) THEN
	555	c_u(k,i) = 0.0_wp
[106]	556	ELSEIF ( c_u(k,i) > c_max ) THEN
	557	c_u(k,i) = c_max
	558	ENDIF
	559	ELSE
	560	c_u(k,i) = c_max
[73]	561	ENDIF
	562
[106]	563	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	564
[1353]	565	IF ( denom /= 0.0_wp ) THEN
[996]	566	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	567	IF ( c_v(k,i) < 0.0_wp ) THEN
	568	c_v(k,i) = 0.0_wp
[106]	569	ELSEIF ( c_v(k,i) > c_max ) THEN
	570	c_v(k,i) = c_max
	571	ENDIF
	572	ELSE
	573	c_v(k,i) = c_max
[73]	574	ENDIF
	575
[106]	576	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	577
[1353]	578	IF ( denom /= 0.0_wp ) THEN
[996]	579	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	580	IF ( c_w(k,i) < 0.0_wp ) THEN
	581	c_w(k,i) = 0.0_wp
[106]	582	ELSEIF ( c_w(k,i) > c_max ) THEN
	583	c_w(k,i) = c_max
	584	ENDIF
	585	ELSE
	586	c_w(k,i) = c_max
[73]	587	ENDIF
[106]	588
[978]	589	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	590	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	591	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	592
[978]	593	ENDDO
	594	ENDDO
[73]	595
[978]	596	#if defined( __parallel )
	597	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	598	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	599	MPI_SUM, comm1dx, ierr )
	600	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	601	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	602	MPI_SUM, comm1dx, ierr )
	603	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	604	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	605	MPI_SUM, comm1dx, ierr )
	606	#else
	607	c_u_m = c_u_m_l
	608	c_v_m = c_v_m_l
	609	c_w_m = c_w_m_l
	610	#endif
	611
	612	c_u_m = c_u_m / (nx+1)
	613	c_v_m = c_v_m / (nx+1)
	614	c_w_m = c_w_m / (nx+1)
	615
[73]	616	!
[978]	617	!-- Save old timelevels for the next timestep
	618	IF ( intermediate_timestep_count == 1 ) THEN
	619	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	620	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	621	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	622	ENDIF
[73]	623
[978]	624	!
	625	!-- Calculate the new velocities
[996]	626	DO k = nzb+1, nzt+1
	627	DO i = nxlg, nxrg
[978]	628	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	629	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	630
[978]	631	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	632	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	633
[978]	634	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	635	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	636	ENDDO
[1]	637	ENDDO
	638
	639	!
[978]	640	!-- Bottom boundary at the outflow
	641	IF ( ibc_uv_b == 0 ) THEN
[1353]	642	u_p(nzb,ny+1,:) = 0.0_wp
	643	v_p(nzb,ny+1,:) = 0.0_wp
[978]	644	ELSE
	645	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	646	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	647	ENDIF
[1353]	648	w_p(nzb,ny+1,:) = 0.0_wp
[73]	649
	650	!
[978]	651	!-- Top boundary at the outflow
	652	IF ( ibc_uv_t == 0 ) THEN
	653	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	654	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	655	ELSE
	656	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	657	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	658	ENDIF
[1353]	659	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	660
[1]	661	ENDIF
	662
[75]	663	ENDIF
	664
[106]	665	IF ( outflow_l ) THEN
[75]	666
[1159]	667	IF ( use_cmax ) THEN
	668	u_p(:,:,-1) = u(:,:,0)
	669	v_p(:,:,0) = v(:,:,1)
	670	w_p(:,:,-1) = w(:,:,0)
	671	ELSEIF ( .NOT. use_cmax ) THEN
[75]	672
[978]	673	c_max = dx / dt_3d
[75]	674
[1353]	675	c_u_m_l = 0.0_wp
	676	c_v_m_l = 0.0_wp
	677	c_w_m_l = 0.0_wp
[978]	678
[1353]	679	c_u_m = 0.0_wp
	680	c_v_m = 0.0_wp
	681	c_w_m = 0.0_wp
[978]	682
[1]	683	!
[996]	684	!-- Calculate the phase speeds for u, v, and w, first local and then
	685	!-- average along the outflow boundary.
	686	DO k = nzb+1, nzt+1
	687	DO j = nys, nyn
[75]	688
[106]	689	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	690
[1353]	691	IF ( denom /= 0.0_wp ) THEN
[996]	692	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	693	IF ( c_u(k,j) < 0.0_wp ) THEN
	694	c_u(k,j) = 0.0_wp
[107]	695	ELSEIF ( c_u(k,j) > c_max ) THEN
	696	c_u(k,j) = c_max
[106]	697	ENDIF
	698	ELSE
[107]	699	c_u(k,j) = c_max
[75]	700	ENDIF
	701
[106]	702	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	703
[1353]	704	IF ( denom /= 0.0_wp ) THEN
[996]	705	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	706	IF ( c_v(k,j) < 0.0_wp ) THEN
	707	c_v(k,j) = 0.0_wp
[106]	708	ELSEIF ( c_v(k,j) > c_max ) THEN
	709	c_v(k,j) = c_max
	710	ENDIF
	711	ELSE
	712	c_v(k,j) = c_max
[75]	713	ENDIF
	714
[106]	715	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	716
[1353]	717	IF ( denom /= 0.0_wp ) THEN
[996]	718	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	719	IF ( c_w(k,j) < 0.0_wp ) THEN
	720	c_w(k,j) = 0.0_wp
[106]	721	ELSEIF ( c_w(k,j) > c_max ) THEN
	722	c_w(k,j) = c_max
	723	ENDIF
	724	ELSE
	725	c_w(k,j) = c_max
[75]	726	ENDIF
[106]	727
[978]	728	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	729	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	730	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	731
[978]	732	ENDDO
	733	ENDDO
[75]	734
[978]	735	#if defined( __parallel )
	736	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	737	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	738	MPI_SUM, comm1dy, ierr )
	739	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	740	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	741	MPI_SUM, comm1dy, ierr )
	742	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	743	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	744	MPI_SUM, comm1dy, ierr )
	745	#else
	746	c_u_m = c_u_m_l
	747	c_v_m = c_v_m_l
	748	c_w_m = c_w_m_l
	749	#endif
	750
	751	c_u_m = c_u_m / (ny+1)
	752	c_v_m = c_v_m / (ny+1)
	753	c_w_m = c_w_m / (ny+1)
	754
[73]	755	!
[978]	756	!-- Save old timelevels for the next timestep
	757	IF ( intermediate_timestep_count == 1 ) THEN
	758	u_m_l(:,:,:) = u(:,:,1:2)
	759	v_m_l(:,:,:) = v(:,:,0:1)
	760	w_m_l(:,:,:) = w(:,:,0:1)
	761	ENDIF
	762
	763	!
	764	!-- Calculate the new velocities
[996]	765	DO k = nzb+1, nzt+1
[1113]	766	DO j = nysg, nyng
[978]	767	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	768	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	769
[978]	770	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	771	( v(k,j,-1) - v(k,j,0) ) * ddx
	772
[978]	773	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	774	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	775	ENDDO
[75]	776	ENDDO
	777
	778	!
[978]	779	!-- Bottom boundary at the outflow
	780	IF ( ibc_uv_b == 0 ) THEN
[1353]	781	u_p(nzb,:,0) = 0.0_wp
	782	v_p(nzb,:,-1) = 0.0_wp
[978]	783	ELSE
	784	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	785	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	786	ENDIF
[1353]	787	w_p(nzb,:,-1) = 0.0_wp
[1]	788
[75]	789	!
[978]	790	!-- Top boundary at the outflow
	791	IF ( ibc_uv_t == 0 ) THEN
	792	u_p(nzt+1,:,-1) = u_init(nzt+1)
	793	v_p(nzt+1,:,-1) = v_init(nzt+1)
	794	ELSE
	795	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	796	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	797	ENDIF
[1353]	798	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	799
[75]	800	ENDIF
[73]	801
[75]	802	ENDIF
[73]	803
[106]	804	IF ( outflow_r ) THEN
[73]	805
[1159]	806	IF ( use_cmax ) THEN
	807	u_p(:,:,nx+1) = u(:,:,nx)
	808	v_p(:,:,nx+1) = v(:,:,nx)
	809	w_p(:,:,nx+1) = w(:,:,nx)
	810	ELSEIF ( .NOT. use_cmax ) THEN
[75]	811
[978]	812	c_max = dx / dt_3d
[75]	813
[1353]	814	c_u_m_l = 0.0_wp
	815	c_v_m_l = 0.0_wp
	816	c_w_m_l = 0.0_wp
[978]	817
[1353]	818	c_u_m = 0.0_wp
	819	c_v_m = 0.0_wp
	820	c_w_m = 0.0_wp
[978]	821
[1]	822	!
[996]	823	!-- Calculate the phase speeds for u, v, and w, first local and then
	824	!-- average along the outflow boundary.
	825	DO k = nzb+1, nzt+1
	826	DO j = nys, nyn
[73]	827
[106]	828	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	829
[1353]	830	IF ( denom /= 0.0_wp ) THEN
[996]	831	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	832	IF ( c_u(k,j) < 0.0_wp ) THEN
	833	c_u(k,j) = 0.0_wp
[106]	834	ELSEIF ( c_u(k,j) > c_max ) THEN
	835	c_u(k,j) = c_max
	836	ENDIF
	837	ELSE
	838	c_u(k,j) = c_max
[73]	839	ENDIF
	840
[106]	841	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	842
[1353]	843	IF ( denom /= 0.0_wp ) THEN
[996]	844	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	845	IF ( c_v(k,j) < 0.0_wp ) THEN
	846	c_v(k,j) = 0.0_wp
[106]	847	ELSEIF ( c_v(k,j) > c_max ) THEN
	848	c_v(k,j) = c_max
	849	ENDIF
	850	ELSE
	851	c_v(k,j) = c_max
[73]	852	ENDIF
	853
[106]	854	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	855
[1353]	856	IF ( denom /= 0.0_wp ) THEN
[996]	857	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	858	IF ( c_w(k,j) < 0.0_wp ) THEN
	859	c_w(k,j) = 0.0_wp
[106]	860	ELSEIF ( c_w(k,j) > c_max ) THEN
	861	c_w(k,j) = c_max
	862	ENDIF
	863	ELSE
	864	c_w(k,j) = c_max
[73]	865	ENDIF
[106]	866
[978]	867	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	868	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	869	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	870
[978]	871	ENDDO
	872	ENDDO
[73]	873
[978]	874	#if defined( __parallel )
	875	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	876	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	877	MPI_SUM, comm1dy, ierr )
	878	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	879	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	880	MPI_SUM, comm1dy, ierr )
	881	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	882	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	883	MPI_SUM, comm1dy, ierr )
	884	#else
	885	c_u_m = c_u_m_l
	886	c_v_m = c_v_m_l
	887	c_w_m = c_w_m_l
	888	#endif
	889
	890	c_u_m = c_u_m / (ny+1)
	891	c_v_m = c_v_m / (ny+1)
	892	c_w_m = c_w_m / (ny+1)
	893
[73]	894	!
[978]	895	!-- Save old timelevels for the next timestep
	896	IF ( intermediate_timestep_count == 1 ) THEN
	897	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	898	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	899	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	900	ENDIF
[73]	901
[978]	902	!
	903	!-- Calculate the new velocities
[996]	904	DO k = nzb+1, nzt+1
[1113]	905	DO j = nysg, nyng
[978]	906	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	907	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	908
[978]	909	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	910	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	911
[978]	912	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	913	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	914	ENDDO
[73]	915	ENDDO
	916
	917	!
[978]	918	!-- Bottom boundary at the outflow
	919	IF ( ibc_uv_b == 0 ) THEN
[1353]	920	u_p(nzb,:,nx+1) = 0.0_wp
	921	v_p(nzb,:,nx+1) = 0.0_wp
[978]	922	ELSE
	923	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	924	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	925	ENDIF
[1353]	926	w_p(nzb,:,nx+1) = 0.0_wp
[73]	927
	928	!
[978]	929	!-- Top boundary at the outflow
	930	IF ( ibc_uv_t == 0 ) THEN
	931	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	932	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	933	ELSE
	934	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	935	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	936	ENDIF
[1353]	937	w(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	938
[1]	939	ENDIF
	940
	941	ENDIF
	942
	943	END SUBROUTINE boundary_conds

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