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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1758

Last change on this file since 1758 was 1744, checked in by raasch, 9 years ago
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[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	! -----------------
[1718]	21	!
[1744]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: boundary_conds.f90 1744 2016-01-13 10:29:35Z maronga $
	26	!
[1744]	27	! 1742 2016-01-13 09:50:06Z raasch
	28	! bugfix for outflow Neumann boundary conditions at bottom and top
	29	!
[1718]	30	! 1717 2015-11-11 15:09:47Z raasch
	31	! Bugfix: index error in outflow conditions for left boundary
	32	!
[1683]	33	! 1682 2015-10-07 23:56:08Z knoop
	34	! Code annotations made doxygen readable
	35	!
[1717]	36	! 1410 2014-05-23 12:16:18Z suehring
[1463]	37	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	38	! top
	39	!
[1410]	40	! 1399 2014-05-07 11:16:25Z heinze
	41	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	42	! is used.
	43	!
[1399]	44	! 1398 2014-05-07 11:15:00Z heinze
	45	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	46	! for large_scale_forcing
	47	!
[1381]	48	! 1380 2014-04-28 12:40:45Z heinze
	49	! Adjust Dirichlet-condition at the top for pt in case of nudging
	50	!
[1362]	51	! 1361 2014-04-16 15:17:48Z hoffmann
	52	! Bottom and top boundary conditions of rain water content (qr) and
	53	! rain drop concentration (nr) changed to Dirichlet
	54	!
[1354]	55	! 1353 2014-04-08 15:21:23Z heinze
	56	! REAL constants provided with KIND-attribute
	57	!
[1321]	58	! 1320 2014-03-20 08:40:49Z raasch
[1320]	59	! ONLY-attribute added to USE-statements,
	60	! kind-parameters added to all INTEGER and REAL declaration statements,
	61	! kinds are defined in new module kinds,
	62	! revision history before 2012 removed,
	63	! comment fields (!:) to be used for variable explanations added to
	64	! all variable declaration statements
[1160]	65	!
[1258]	66	! 1257 2013-11-08 15:18:40Z raasch
	67	! loop independent clauses added
	68	!
[1242]	69	! 1241 2013-10-30 11:36:58Z heinze
	70	! Adjust ug and vg at each timestep in case of large_scale_forcing
	71	!
[1160]	72	! 1159 2013-05-21 11:58:22Z fricke
[1159]	73	! Bugfix: Neumann boundary conditions for the velocity components at the
	74	! outflow are in fact radiation boundary conditions using the maximum phase
	75	! velocity that ensures numerical stability (CFL-condition).
	76	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	77	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	78	! u_p, v_p, w_p
[1116]	79	!
	80	! 1115 2013-03-26 18:16:16Z hoffmann
	81	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	82	! boundary-conditions
	83	!
[1114]	84	! 1113 2013-03-10 02:48:14Z raasch
	85	! GPU-porting
	86	! dummy argument "range" removed
	87	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	88	!
[1054]	89	! 1053 2012-11-13 17:11:03Z hoffmann
	90	! boundary conditions for the two new prognostic equations (nr, qr) of the
	91	! two-moment cloud scheme
	92	!
[1037]	93	! 1036 2012-10-22 13:43:42Z raasch
	94	! code put under GPL (PALM 3.9)
	95	!
[997]	96	! 996 2012-09-07 10:41:47Z raasch
	97	! little reformatting
	98	!
[979]	99	! 978 2012-08-09 08:28:32Z fricke
	100	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	101	! Outflow boundary conditions for the velocity components can be set to Neumann
	102	! conditions or to radiation conditions with a horizontal averaged phase
	103	! velocity.
	104	!
[876]	105	! 875 2012-04-02 15:35:15Z gryschka
	106	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	107	!
[1]	108	! Revision 1.1 1997/09/12 06:21:34 raasch
	109	! Initial revision
	110	!
	111	!
	112	! Description:
	113	! ------------
[1682]	114	!> Boundary conditions for the prognostic quantities.
	115	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	116	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	117	!> handled in routine exchange_horiz. Pressure boundary conditions are
	118	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	119	!------------------------------------------------------------------------------!
[1682]	120	SUBROUTINE boundary_conds
	121
[1]	122
[1320]	123	USE arrays_3d, &
	124	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, &
	125	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
	126	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	127	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1380]	128	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
	129	pt_init
[1320]	130
	131	USE control_parameters, &
	132	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
	133	cloud_physics, dt_3d, humidity, &
[1462]	134	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_sa_t, ibc_uv_b, &
	135	ibc_uv_t, icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s,&
[1320]	136	intermediate_timestep_count, large_scale_forcing, ocean, &
	137	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
[1380]	138	precipitation, tsc, use_cmax, &
	139	nudging
[1320]	140
	141	USE grid_variables, &
	142	ONLY: ddx, ddy, dx, dy
	143
	144	USE indices, &
	145	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	146	nzb, nzb_s_inner, nzb_w_inner, nzt
	147
	148	USE kinds
	149
[1]	150	USE pegrid
	151
[1320]	152
[1]	153	IMPLICIT NONE
	154
[1682]	155	INTEGER(iwp) :: i !<
	156	INTEGER(iwp) :: j !<
	157	INTEGER(iwp) :: k !<
[1]	158
[1682]	159	REAL(wp) :: c_max !<
	160	REAL(wp) :: denom !<
[1]	161
[73]	162
[1]	163	!
[1113]	164	!-- Bottom boundary
	165	IF ( ibc_uv_b == 1 ) THEN
	166	!$acc kernels present( u_p, v_p )
	167	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	168	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	169	!$acc end kernels
	170	ENDIF
	171
	172	!$acc kernels present( nzb_w_inner, w_p )
	173	DO i = nxlg, nxrg
	174	DO j = nysg, nyng
[1353]	175	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	176	ENDDO
	177	ENDDO
	178	!$acc end kernels
	179
	180	!
	181	!-- Top boundary
	182	IF ( ibc_uv_t == 0 ) THEN
	183	!$acc kernels present( u_init, u_p, v_init, v_p )
	184	u_p(nzt+1,:,:) = u_init(nzt+1)
	185	v_p(nzt+1,:,:) = v_init(nzt+1)
	186	!$acc end kernels
	187	ELSE
	188	!$acc kernels present( u_p, v_p )
	189	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	190	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	191	!$acc end kernels
	192	ENDIF
	193	!$acc kernels present( w_p )
[1353]	194	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
[1113]	195	!$acc end kernels
	196
	197	!
	198	!-- Temperature at bottom boundary.
	199	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	200	!-- the sea surface temperature of the coupled ocean model.
	201	IF ( ibc_pt_b == 0 ) THEN
	202	!$acc kernels present( nzb_s_inner, pt, pt_p )
[1257]	203	!$acc loop independent
[667]	204	DO i = nxlg, nxrg
[1257]	205	!$acc loop independent
[667]	206	DO j = nysg, nyng
[1113]	207	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	208	ENDDO
	209	ENDDO
[1113]	210	!$acc end kernels
	211	ELSEIF ( ibc_pt_b == 1 ) THEN
	212	!$acc kernels present( nzb_s_inner, pt_p )
[1257]	213	!$acc loop independent
[1113]	214	DO i = nxlg, nxrg
[1257]	215	!$acc loop independent
[1113]	216	DO j = nysg, nyng
	217	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	218	ENDDO
	219	ENDDO
	220	!$acc end kernels
	221	ENDIF
[1]	222
	223	!
[1113]	224	!-- Temperature at top boundary
	225	IF ( ibc_pt_t == 0 ) THEN
	226	!$acc kernels present( pt, pt_p )
	227	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	228	!
	229	!-- In case of nudging adjust top boundary to pt which is
	230	!-- read in from NUDGING-DATA
	231	IF ( nudging ) THEN
	232	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	233	ENDIF
[1113]	234	!$acc end kernels
	235	ELSEIF ( ibc_pt_t == 1 ) THEN
	236	!$acc kernels present( pt_p )
	237	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	238	!$acc end kernels
	239	ELSEIF ( ibc_pt_t == 2 ) THEN
	240	!$acc kernels present( dzu, pt_p )
	241	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	242	!$acc end kernels
	243	ENDIF
[1]	244
	245	!
[1113]	246	!-- Boundary conditions for TKE
	247	!-- Generally Neumann conditions with de/dz=0 are assumed
	248	IF ( .NOT. constant_diffusion ) THEN
	249	!$acc kernels present( e_p, nzb_s_inner )
[1257]	250	!$acc loop independent
[1113]	251	DO i = nxlg, nxrg
[1257]	252	!$acc loop independent
[1113]	253	DO j = nysg, nyng
	254	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	255	ENDDO
[1113]	256	ENDDO
	257	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	258	!$acc end kernels
	259	ENDIF
	260
	261	!
	262	!-- Boundary conditions for salinity
	263	IF ( ocean ) THEN
	264	!
	265	!-- Bottom boundary: Neumann condition because salinity flux is always
	266	!-- given
	267	DO i = nxlg, nxrg
	268	DO j = nysg, nyng
	269	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	270	ENDDO
[1113]	271	ENDDO
[1]	272
	273	!
[1113]	274	!-- Top boundary: Dirichlet or Neumann
	275	IF ( ibc_sa_t == 0 ) THEN
	276	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	277	ELSEIF ( ibc_sa_t == 1 ) THEN
	278	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	279	ENDIF
	280
[1113]	281	ENDIF
	282
[1]	283	!
[1113]	284	!-- Boundary conditions for total water content or scalar,
	285	!-- bottom and top boundary (see also temperature)
	286	IF ( humidity .OR. passive_scalar ) THEN
	287	!
	288	!-- Surface conditions for constant_humidity_flux
	289	IF ( ibc_q_b == 0 ) THEN
[667]	290	DO i = nxlg, nxrg
	291	DO j = nysg, nyng
[1113]	292	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	293	ENDDO
	294	ENDDO
[1113]	295	ELSE
[667]	296	DO i = nxlg, nxrg
	297	DO j = nysg, nyng
[1113]	298	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	299	ENDDO
	300	ENDDO
[1113]	301	ENDIF
[95]	302	!
[1113]	303	!-- Top boundary
[1462]	304	IF ( ibc_q_t == 0 ) THEN
	305	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	306	ELSEIF ( ibc_q_t == 1 ) THEN
	307	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
	308	ENDIF
[95]	309
[1361]	310	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1113]	311	!
[1361]	312	!-- Surface conditions rain water (Dirichlet)
[1115]	313	DO i = nxlg, nxrg
	314	DO j = nysg, nyng
[1361]	315	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	316	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	317	ENDDO
[1115]	318	ENDDO
[1]	319	!
[1361]	320	!-- Top boundary condition for rain water (Dirichlet)
	321	qr_p(nzt+1,:,:) = 0.0_wp
	322	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	323
[1]	324	ENDIF
[1409]	325	ENDIF
[1]	326	!
[1409]	327	!-- In case of inflow at the south boundary the boundary for v is at nys
	328	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	329	!-- Since in prognostic_equations (cache optimized version) these levels are
	330	!-- handled as a prognostic level, boundary values have to be restored here.
	331	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	332	IF ( inflow_s ) THEN
	333	v_p(:,nys,:) = v_p(:,nys-1,:)
	334	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	335	ELSEIF ( inflow_n ) THEN
	336	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	337	ELSEIF ( inflow_l ) THEN
	338	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	339	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	340	ELSEIF ( inflow_r ) THEN
	341	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	342	ENDIF
[1]	343
	344	!
[1409]	345	!-- Lateral boundary conditions for scalar quantities at the outflow
	346	IF ( outflow_s ) THEN
	347	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	348	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	349	IF ( humidity .OR. passive_scalar ) THEN
	350	q_p(:,nys-1,:) = q_p(:,nys,:)
	351	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	352	precipitation) THEN
	353	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	354	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	355	ENDIF
[1409]	356	ENDIF
	357	ELSEIF ( outflow_n ) THEN
	358	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	359	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	360	IF ( humidity .OR. passive_scalar ) THEN
	361	q_p(:,nyn+1,:) = q_p(:,nyn,:)
	362	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	363	precipitation ) THEN
	364	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	365	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	366	ENDIF
[1409]	367	ENDIF
	368	ELSEIF ( outflow_l ) THEN
	369	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	370	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	371	IF ( humidity .OR. passive_scalar ) THEN
	372	q_p(:,:,nxl-1) = q_p(:,:,nxl)
	373	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	374	precipitation ) THEN
	375	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	376	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	377	ENDIF
[1409]	378	ENDIF
	379	ELSEIF ( outflow_r ) THEN
	380	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	381	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	382	IF ( humidity .OR. passive_scalar ) THEN
	383	q_p(:,:,nxr+1) = q_p(:,:,nxr)
	384	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	385	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	386	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	387	ENDIF
[1]	388	ENDIF
	389	ENDIF
	390
	391	!
[1159]	392	!-- Radiation boundary conditions for the velocities at the respective outflow.
	393	!-- The phase velocity is either assumed to the maximum phase velocity that
	394	!-- ensures numerical stability (CFL-condition) or calculated after
	395	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	396	IF ( outflow_s ) THEN
[75]	397
[1159]	398	IF ( use_cmax ) THEN
	399	u_p(:,-1,:) = u(:,0,:)
	400	v_p(:,0,:) = v(:,1,:)
	401	w_p(:,-1,:) = w(:,0,:)
	402	ELSEIF ( .NOT. use_cmax ) THEN
[75]	403
[978]	404	c_max = dy / dt_3d
[75]	405
[1353]	406	c_u_m_l = 0.0_wp
	407	c_v_m_l = 0.0_wp
	408	c_w_m_l = 0.0_wp
[978]	409
[1353]	410	c_u_m = 0.0_wp
	411	c_v_m = 0.0_wp
	412	c_w_m = 0.0_wp
[978]	413
[75]	414	!
[996]	415	!-- Calculate the phase speeds for u, v, and w, first local and then
	416	!-- average along the outflow boundary.
	417	DO k = nzb+1, nzt+1
	418	DO i = nxl, nxr
[75]	419
[106]	420	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	421
[1353]	422	IF ( denom /= 0.0_wp ) THEN
[996]	423	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	424	IF ( c_u(k,i) < 0.0_wp ) THEN
	425	c_u(k,i) = 0.0_wp
[106]	426	ELSEIF ( c_u(k,i) > c_max ) THEN
	427	c_u(k,i) = c_max
	428	ENDIF
	429	ELSE
	430	c_u(k,i) = c_max
[75]	431	ENDIF
	432
[106]	433	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	434
[1353]	435	IF ( denom /= 0.0_wp ) THEN
[996]	436	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	437	IF ( c_v(k,i) < 0.0_wp ) THEN
	438	c_v(k,i) = 0.0_wp
[106]	439	ELSEIF ( c_v(k,i) > c_max ) THEN
	440	c_v(k,i) = c_max
	441	ENDIF
	442	ELSE
	443	c_v(k,i) = c_max
[75]	444	ENDIF
	445
[106]	446	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	447
[1353]	448	IF ( denom /= 0.0_wp ) THEN
[996]	449	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	450	IF ( c_w(k,i) < 0.0_wp ) THEN
	451	c_w(k,i) = 0.0_wp
[106]	452	ELSEIF ( c_w(k,i) > c_max ) THEN
	453	c_w(k,i) = c_max
	454	ENDIF
	455	ELSE
	456	c_w(k,i) = c_max
[75]	457	ENDIF
[106]	458
[978]	459	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	460	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	461	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	462
[978]	463	ENDDO
	464	ENDDO
[75]	465
[978]	466	#if defined( __parallel )
	467	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	468	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	469	MPI_SUM, comm1dx, ierr )
	470	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	471	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	472	MPI_SUM, comm1dx, ierr )
	473	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	474	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	475	MPI_SUM, comm1dx, ierr )
	476	#else
	477	c_u_m = c_u_m_l
	478	c_v_m = c_v_m_l
	479	c_w_m = c_w_m_l
	480	#endif
	481
	482	c_u_m = c_u_m / (nx+1)
	483	c_v_m = c_v_m / (nx+1)
	484	c_w_m = c_w_m / (nx+1)
	485
[75]	486	!
[978]	487	!-- Save old timelevels for the next timestep
	488	IF ( intermediate_timestep_count == 1 ) THEN
	489	u_m_s(:,:,:) = u(:,0:1,:)
	490	v_m_s(:,:,:) = v(:,1:2,:)
	491	w_m_s(:,:,:) = w(:,0:1,:)
	492	ENDIF
	493
	494	!
	495	!-- Calculate the new velocities
[996]	496	DO k = nzb+1, nzt+1
	497	DO i = nxlg, nxrg
[978]	498	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	499	( u(k,-1,i) - u(k,0,i) ) * ddy
	500
[978]	501	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	502	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	503
[978]	504	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	505	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	506	ENDDO
[75]	507	ENDDO
	508
	509	!
[978]	510	!-- Bottom boundary at the outflow
	511	IF ( ibc_uv_b == 0 ) THEN
[1353]	512	u_p(nzb,-1,:) = 0.0_wp
	513	v_p(nzb,0,:) = 0.0_wp
[978]	514	ELSE
	515	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	516	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	517	ENDIF
[1353]	518	w_p(nzb,-1,:) = 0.0_wp
[73]	519
[75]	520	!
[978]	521	!-- Top boundary at the outflow
	522	IF ( ibc_uv_t == 0 ) THEN
	523	u_p(nzt+1,-1,:) = u_init(nzt+1)
	524	v_p(nzt+1,0,:) = v_init(nzt+1)
	525	ELSE
[1742]	526	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	527	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	528	ENDIF
[1353]	529	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	530
[75]	531	ENDIF
[73]	532
[75]	533	ENDIF
[73]	534
[106]	535	IF ( outflow_n ) THEN
[73]	536
[1159]	537	IF ( use_cmax ) THEN
	538	u_p(:,ny+1,:) = u(:,ny,:)
	539	v_p(:,ny+1,:) = v(:,ny,:)
	540	w_p(:,ny+1,:) = w(:,ny,:)
	541	ELSEIF ( .NOT. use_cmax ) THEN
[75]	542
[978]	543	c_max = dy / dt_3d
[75]	544
[1353]	545	c_u_m_l = 0.0_wp
	546	c_v_m_l = 0.0_wp
	547	c_w_m_l = 0.0_wp
[978]	548
[1353]	549	c_u_m = 0.0_wp
	550	c_v_m = 0.0_wp
	551	c_w_m = 0.0_wp
[978]	552
[1]	553	!
[996]	554	!-- Calculate the phase speeds for u, v, and w, first local and then
	555	!-- average along the outflow boundary.
	556	DO k = nzb+1, nzt+1
	557	DO i = nxl, nxr
[73]	558
[106]	559	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	560
[1353]	561	IF ( denom /= 0.0_wp ) THEN
[996]	562	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	563	IF ( c_u(k,i) < 0.0_wp ) THEN
	564	c_u(k,i) = 0.0_wp
[106]	565	ELSEIF ( c_u(k,i) > c_max ) THEN
	566	c_u(k,i) = c_max
	567	ENDIF
	568	ELSE
	569	c_u(k,i) = c_max
[73]	570	ENDIF
	571
[106]	572	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	573
[1353]	574	IF ( denom /= 0.0_wp ) THEN
[996]	575	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	576	IF ( c_v(k,i) < 0.0_wp ) THEN
	577	c_v(k,i) = 0.0_wp
[106]	578	ELSEIF ( c_v(k,i) > c_max ) THEN
	579	c_v(k,i) = c_max
	580	ENDIF
	581	ELSE
	582	c_v(k,i) = c_max
[73]	583	ENDIF
	584
[106]	585	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	586
[1353]	587	IF ( denom /= 0.0_wp ) THEN
[996]	588	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	589	IF ( c_w(k,i) < 0.0_wp ) THEN
	590	c_w(k,i) = 0.0_wp
[106]	591	ELSEIF ( c_w(k,i) > c_max ) THEN
	592	c_w(k,i) = c_max
	593	ENDIF
	594	ELSE
	595	c_w(k,i) = c_max
[73]	596	ENDIF
[106]	597
[978]	598	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	599	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	600	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	601
[978]	602	ENDDO
	603	ENDDO
[73]	604
[978]	605	#if defined( __parallel )
	606	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	607	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	608	MPI_SUM, comm1dx, ierr )
	609	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	610	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	611	MPI_SUM, comm1dx, ierr )
	612	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	613	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	614	MPI_SUM, comm1dx, ierr )
	615	#else
	616	c_u_m = c_u_m_l
	617	c_v_m = c_v_m_l
	618	c_w_m = c_w_m_l
	619	#endif
	620
	621	c_u_m = c_u_m / (nx+1)
	622	c_v_m = c_v_m / (nx+1)
	623	c_w_m = c_w_m / (nx+1)
	624
[73]	625	!
[978]	626	!-- Save old timelevels for the next timestep
	627	IF ( intermediate_timestep_count == 1 ) THEN
	628	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	629	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	630	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	631	ENDIF
[73]	632
[978]	633	!
	634	!-- Calculate the new velocities
[996]	635	DO k = nzb+1, nzt+1
	636	DO i = nxlg, nxrg
[978]	637	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	638	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	639
[978]	640	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	641	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	642
[978]	643	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	644	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	645	ENDDO
[1]	646	ENDDO
	647
	648	!
[978]	649	!-- Bottom boundary at the outflow
	650	IF ( ibc_uv_b == 0 ) THEN
[1353]	651	u_p(nzb,ny+1,:) = 0.0_wp
	652	v_p(nzb,ny+1,:) = 0.0_wp
[978]	653	ELSE
	654	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	655	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	656	ENDIF
[1353]	657	w_p(nzb,ny+1,:) = 0.0_wp
[73]	658
	659	!
[978]	660	!-- Top boundary at the outflow
	661	IF ( ibc_uv_t == 0 ) THEN
	662	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	663	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	664	ELSE
	665	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	666	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	667	ENDIF
[1353]	668	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	669
[1]	670	ENDIF
	671
[75]	672	ENDIF
	673
[106]	674	IF ( outflow_l ) THEN
[75]	675
[1159]	676	IF ( use_cmax ) THEN
[1717]	677	u_p(:,:,0) = u(:,:,1)
	678	v_p(:,:,-1) = v(:,:,0)
[1159]	679	w_p(:,:,-1) = w(:,:,0)
	680	ELSEIF ( .NOT. use_cmax ) THEN
[75]	681
[978]	682	c_max = dx / dt_3d
[75]	683
[1353]	684	c_u_m_l = 0.0_wp
	685	c_v_m_l = 0.0_wp
	686	c_w_m_l = 0.0_wp
[978]	687
[1353]	688	c_u_m = 0.0_wp
	689	c_v_m = 0.0_wp
	690	c_w_m = 0.0_wp
[978]	691
[1]	692	!
[996]	693	!-- Calculate the phase speeds for u, v, and w, first local and then
	694	!-- average along the outflow boundary.
	695	DO k = nzb+1, nzt+1
	696	DO j = nys, nyn
[75]	697
[106]	698	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	699
[1353]	700	IF ( denom /= 0.0_wp ) THEN
[996]	701	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	702	IF ( c_u(k,j) < 0.0_wp ) THEN
	703	c_u(k,j) = 0.0_wp
[107]	704	ELSEIF ( c_u(k,j) > c_max ) THEN
	705	c_u(k,j) = c_max
[106]	706	ENDIF
	707	ELSE
[107]	708	c_u(k,j) = c_max
[75]	709	ENDIF
	710
[106]	711	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	712
[1353]	713	IF ( denom /= 0.0_wp ) THEN
[996]	714	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	715	IF ( c_v(k,j) < 0.0_wp ) THEN
	716	c_v(k,j) = 0.0_wp
[106]	717	ELSEIF ( c_v(k,j) > c_max ) THEN
	718	c_v(k,j) = c_max
	719	ENDIF
	720	ELSE
	721	c_v(k,j) = c_max
[75]	722	ENDIF
	723
[106]	724	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	725
[1353]	726	IF ( denom /= 0.0_wp ) THEN
[996]	727	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	728	IF ( c_w(k,j) < 0.0_wp ) THEN
	729	c_w(k,j) = 0.0_wp
[106]	730	ELSEIF ( c_w(k,j) > c_max ) THEN
	731	c_w(k,j) = c_max
	732	ENDIF
	733	ELSE
	734	c_w(k,j) = c_max
[75]	735	ENDIF
[106]	736
[978]	737	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	738	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	739	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	740
[978]	741	ENDDO
	742	ENDDO
[75]	743
[978]	744	#if defined( __parallel )
	745	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	746	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	747	MPI_SUM, comm1dy, ierr )
	748	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	749	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	750	MPI_SUM, comm1dy, ierr )
	751	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	752	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	753	MPI_SUM, comm1dy, ierr )
	754	#else
	755	c_u_m = c_u_m_l
	756	c_v_m = c_v_m_l
	757	c_w_m = c_w_m_l
	758	#endif
	759
	760	c_u_m = c_u_m / (ny+1)
	761	c_v_m = c_v_m / (ny+1)
	762	c_w_m = c_w_m / (ny+1)
	763
[73]	764	!
[978]	765	!-- Save old timelevels for the next timestep
	766	IF ( intermediate_timestep_count == 1 ) THEN
	767	u_m_l(:,:,:) = u(:,:,1:2)
	768	v_m_l(:,:,:) = v(:,:,0:1)
	769	w_m_l(:,:,:) = w(:,:,0:1)
	770	ENDIF
	771
	772	!
	773	!-- Calculate the new velocities
[996]	774	DO k = nzb+1, nzt+1
[1113]	775	DO j = nysg, nyng
[978]	776	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	777	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	778
[978]	779	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	780	( v(k,j,-1) - v(k,j,0) ) * ddx
	781
[978]	782	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	783	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	784	ENDDO
[75]	785	ENDDO
	786
	787	!
[978]	788	!-- Bottom boundary at the outflow
	789	IF ( ibc_uv_b == 0 ) THEN
[1353]	790	u_p(nzb,:,0) = 0.0_wp
	791	v_p(nzb,:,-1) = 0.0_wp
[978]	792	ELSE
	793	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	794	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	795	ENDIF
[1353]	796	w_p(nzb,:,-1) = 0.0_wp
[1]	797
[75]	798	!
[978]	799	!-- Top boundary at the outflow
	800	IF ( ibc_uv_t == 0 ) THEN
	801	u_p(nzt+1,:,-1) = u_init(nzt+1)
	802	v_p(nzt+1,:,-1) = v_init(nzt+1)
	803	ELSE
	804	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	805	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	806	ENDIF
[1353]	807	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	808
[75]	809	ENDIF
[73]	810
[75]	811	ENDIF
[73]	812
[106]	813	IF ( outflow_r ) THEN
[73]	814
[1159]	815	IF ( use_cmax ) THEN
	816	u_p(:,:,nx+1) = u(:,:,nx)
	817	v_p(:,:,nx+1) = v(:,:,nx)
	818	w_p(:,:,nx+1) = w(:,:,nx)
	819	ELSEIF ( .NOT. use_cmax ) THEN
[75]	820
[978]	821	c_max = dx / dt_3d
[75]	822
[1353]	823	c_u_m_l = 0.0_wp
	824	c_v_m_l = 0.0_wp
	825	c_w_m_l = 0.0_wp
[978]	826
[1353]	827	c_u_m = 0.0_wp
	828	c_v_m = 0.0_wp
	829	c_w_m = 0.0_wp
[978]	830
[1]	831	!
[996]	832	!-- Calculate the phase speeds for u, v, and w, first local and then
	833	!-- average along the outflow boundary.
	834	DO k = nzb+1, nzt+1
	835	DO j = nys, nyn
[73]	836
[106]	837	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	838
[1353]	839	IF ( denom /= 0.0_wp ) THEN
[996]	840	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	841	IF ( c_u(k,j) < 0.0_wp ) THEN
	842	c_u(k,j) = 0.0_wp
[106]	843	ELSEIF ( c_u(k,j) > c_max ) THEN
	844	c_u(k,j) = c_max
	845	ENDIF
	846	ELSE
	847	c_u(k,j) = c_max
[73]	848	ENDIF
	849
[106]	850	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	851
[1353]	852	IF ( denom /= 0.0_wp ) THEN
[996]	853	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	854	IF ( c_v(k,j) < 0.0_wp ) THEN
	855	c_v(k,j) = 0.0_wp
[106]	856	ELSEIF ( c_v(k,j) > c_max ) THEN
	857	c_v(k,j) = c_max
	858	ENDIF
	859	ELSE
	860	c_v(k,j) = c_max
[73]	861	ENDIF
	862
[106]	863	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	864
[1353]	865	IF ( denom /= 0.0_wp ) THEN
[996]	866	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	867	IF ( c_w(k,j) < 0.0_wp ) THEN
	868	c_w(k,j) = 0.0_wp
[106]	869	ELSEIF ( c_w(k,j) > c_max ) THEN
	870	c_w(k,j) = c_max
	871	ENDIF
	872	ELSE
	873	c_w(k,j) = c_max
[73]	874	ENDIF
[106]	875
[978]	876	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	877	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	878	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	879
[978]	880	ENDDO
	881	ENDDO
[73]	882
[978]	883	#if defined( __parallel )
	884	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	885	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	886	MPI_SUM, comm1dy, ierr )
	887	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	888	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	889	MPI_SUM, comm1dy, ierr )
	890	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	891	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	892	MPI_SUM, comm1dy, ierr )
	893	#else
	894	c_u_m = c_u_m_l
	895	c_v_m = c_v_m_l
	896	c_w_m = c_w_m_l
	897	#endif
	898
	899	c_u_m = c_u_m / (ny+1)
	900	c_v_m = c_v_m / (ny+1)
	901	c_w_m = c_w_m / (ny+1)
	902
[73]	903	!
[978]	904	!-- Save old timelevels for the next timestep
	905	IF ( intermediate_timestep_count == 1 ) THEN
	906	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	907	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	908	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	909	ENDIF
[73]	910
[978]	911	!
	912	!-- Calculate the new velocities
[996]	913	DO k = nzb+1, nzt+1
[1113]	914	DO j = nysg, nyng
[978]	915	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	916	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	917
[978]	918	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	919	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	920
[978]	921	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	922	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	923	ENDDO
[73]	924	ENDDO
	925
	926	!
[978]	927	!-- Bottom boundary at the outflow
	928	IF ( ibc_uv_b == 0 ) THEN
[1353]	929	u_p(nzb,:,nx+1) = 0.0_wp
	930	v_p(nzb,:,nx+1) = 0.0_wp
[978]	931	ELSE
	932	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	933	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	934	ENDIF
[1353]	935	w_p(nzb,:,nx+1) = 0.0_wp
[73]	936
	937	!
[978]	938	!-- Top boundary at the outflow
	939	IF ( ibc_uv_t == 0 ) THEN
	940	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	941	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	942	ELSE
	943	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	944	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	945	ENDIF
[1742]	946	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	947
[1]	948	ENDIF
	949
	950	ENDIF
	951
	952	END SUBROUTINE boundary_conds

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