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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1433

Last change on this file since 1433 was 1410, checked in by suehring, 11 years ago
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[1113]	1	SUBROUTINE boundary_conds
[1]	2
[1036]	3	!--------------------------------------------------------------------------------!
	4	! This file is part of PALM.
	5	!
	6	! PALM is free software: you can redistribute it and/or modify it under the terms
	7	! of the GNU General Public License as published by the Free Software Foundation,
	8	! either version 3 of the License, or (at your option) any later version.
	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	!
[1310]	17	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	18	!--------------------------------------------------------------------------------!
	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1354]	22	!
[1410]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 1410 2014-05-23 12:16:18Z keck $
	27	!
[1410]	28	! 1399 2014-05-07 11:16:25Z heinze
	29	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	30	! is used.
	31	!
[1399]	32	! 1398 2014-05-07 11:15:00Z heinze
	33	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	34	! for large_scale_forcing
	35	!
[1381]	36	! 1380 2014-04-28 12:40:45Z heinze
	37	! Adjust Dirichlet-condition at the top for pt in case of nudging
	38	!
[1362]	39	! 1361 2014-04-16 15:17:48Z hoffmann
	40	! Bottom and top boundary conditions of rain water content (qr) and
	41	! rain drop concentration (nr) changed to Dirichlet
	42	!
[1354]	43	! 1353 2014-04-08 15:21:23Z heinze
	44	! REAL constants provided with KIND-attribute
	45	!
[1321]	46	! 1320 2014-03-20 08:40:49Z raasch
[1320]	47	! ONLY-attribute added to USE-statements,
	48	! kind-parameters added to all INTEGER and REAL declaration statements,
	49	! kinds are defined in new module kinds,
	50	! revision history before 2012 removed,
	51	! comment fields (!:) to be used for variable explanations added to
	52	! all variable declaration statements
[1160]	53	!
[1258]	54	! 1257 2013-11-08 15:18:40Z raasch
	55	! loop independent clauses added
	56	!
[1242]	57	! 1241 2013-10-30 11:36:58Z heinze
	58	! Adjust ug and vg at each timestep in case of large_scale_forcing
	59	!
[1160]	60	! 1159 2013-05-21 11:58:22Z fricke
[1159]	61	! Bugfix: Neumann boundary conditions for the velocity components at the
	62	! outflow are in fact radiation boundary conditions using the maximum phase
	63	! velocity that ensures numerical stability (CFL-condition).
	64	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	65	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	66	! u_p, v_p, w_p
[1116]	67	!
	68	! 1115 2013-03-26 18:16:16Z hoffmann
	69	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	70	! boundary-conditions
	71	!
[1114]	72	! 1113 2013-03-10 02:48:14Z raasch
	73	! GPU-porting
	74	! dummy argument "range" removed
	75	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	76	!
[1054]	77	! 1053 2012-11-13 17:11:03Z hoffmann
	78	! boundary conditions for the two new prognostic equations (nr, qr) of the
	79	! two-moment cloud scheme
	80	!
[1037]	81	! 1036 2012-10-22 13:43:42Z raasch
	82	! code put under GPL (PALM 3.9)
	83	!
[997]	84	! 996 2012-09-07 10:41:47Z raasch
	85	! little reformatting
	86	!
[979]	87	! 978 2012-08-09 08:28:32Z fricke
	88	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	89	! Outflow boundary conditions for the velocity components can be set to Neumann
	90	! conditions or to radiation conditions with a horizontal averaged phase
	91	! velocity.
	92	!
[876]	93	! 875 2012-04-02 15:35:15Z gryschka
	94	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	95	!
[1]	96	! Revision 1.1 1997/09/12 06:21:34 raasch
	97	! Initial revision
	98	!
	99	!
	100	! Description:
	101	! ------------
[1159]	102	! Boundary conditions for the prognostic quantities.
[1]	103	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	104	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	105	! handled in routine exchange_horiz. Pressure boundary conditions are
	106	! explicitly set in routines pres, poisfft, poismg and sor.
	107	!------------------------------------------------------------------------------!
	108
[1320]	109	USE arrays_3d, &
	110	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, &
	111	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
	112	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	113	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1380]	114	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s,&
	115	pt_init
[1320]	116
	117	USE control_parameters, &
	118	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
	119	cloud_physics, dt_3d, humidity, &
	120	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_sa_t, ibc_uv_b, ibc_uv_t, &
	121	icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s, &
	122	intermediate_timestep_count, large_scale_forcing, ocean, &
	123	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
[1380]	124	precipitation, tsc, use_cmax, &
	125	nudging
[1320]	126
	127	USE grid_variables, &
	128	ONLY: ddx, ddy, dx, dy
	129
	130	USE indices, &
	131	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	132	nzb, nzb_s_inner, nzb_w_inner, nzt
	133
	134	USE kinds
	135
[1]	136	USE pegrid
	137
[1320]	138
[1]	139	IMPLICIT NONE
	140
[1320]	141	INTEGER(iwp) :: i !:
	142	INTEGER(iwp) :: j !:
	143	INTEGER(iwp) :: k !:
[1]	144
[1320]	145	REAL(wp) :: c_max !:
	146	REAL(wp) :: denom !:
[1]	147
[73]	148
[1]	149	!
[1113]	150	!-- Bottom boundary
	151	IF ( ibc_uv_b == 1 ) THEN
	152	!$acc kernels present( u_p, v_p )
	153	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	154	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	155	!$acc end kernels
	156	ENDIF
	157
	158	!$acc kernels present( nzb_w_inner, w_p )
	159	DO i = nxlg, nxrg
	160	DO j = nysg, nyng
[1353]	161	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	162	ENDDO
	163	ENDDO
	164	!$acc end kernels
	165
	166	!
	167	!-- Top boundary
	168	IF ( ibc_uv_t == 0 ) THEN
	169	!$acc kernels present( u_init, u_p, v_init, v_p )
	170	u_p(nzt+1,:,:) = u_init(nzt+1)
	171	v_p(nzt+1,:,:) = v_init(nzt+1)
	172	!$acc end kernels
	173	ELSE
	174	!$acc kernels present( u_p, v_p )
	175	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	176	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	177	!$acc end kernels
	178	ENDIF
	179	!$acc kernels present( w_p )
[1353]	180	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
[1113]	181	!$acc end kernels
	182
	183	!
	184	!-- Temperature at bottom boundary.
	185	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	186	!-- the sea surface temperature of the coupled ocean model.
	187	IF ( ibc_pt_b == 0 ) THEN
	188	!$acc kernels present( nzb_s_inner, pt, pt_p )
[1257]	189	!$acc loop independent
[667]	190	DO i = nxlg, nxrg
[1257]	191	!$acc loop independent
[667]	192	DO j = nysg, nyng
[1113]	193	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	194	ENDDO
	195	ENDDO
[1113]	196	!$acc end kernels
	197	ELSEIF ( ibc_pt_b == 1 ) THEN
	198	!$acc kernels present( nzb_s_inner, pt_p )
[1257]	199	!$acc loop independent
[1113]	200	DO i = nxlg, nxrg
[1257]	201	!$acc loop independent
[1113]	202	DO j = nysg, nyng
	203	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	204	ENDDO
	205	ENDDO
	206	!$acc end kernels
	207	ENDIF
[1]	208
	209	!
[1113]	210	!-- Temperature at top boundary
	211	IF ( ibc_pt_t == 0 ) THEN
	212	!$acc kernels present( pt, pt_p )
	213	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	214	!
	215	!-- In case of nudging adjust top boundary to pt which is
	216	!-- read in from NUDGING-DATA
	217	IF ( nudging ) THEN
	218	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	219	ENDIF
[1113]	220	!$acc end kernels
	221	ELSEIF ( ibc_pt_t == 1 ) THEN
	222	!$acc kernels present( pt_p )
	223	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	224	!$acc end kernels
	225	ELSEIF ( ibc_pt_t == 2 ) THEN
	226	!$acc kernels present( dzu, pt_p )
	227	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	228	!$acc end kernels
	229	ENDIF
[1]	230
	231	!
[1113]	232	!-- Boundary conditions for TKE
	233	!-- Generally Neumann conditions with de/dz=0 are assumed
	234	IF ( .NOT. constant_diffusion ) THEN
	235	!$acc kernels present( e_p, nzb_s_inner )
[1257]	236	!$acc loop independent
[1113]	237	DO i = nxlg, nxrg
[1257]	238	!$acc loop independent
[1113]	239	DO j = nysg, nyng
	240	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	241	ENDDO
[1113]	242	ENDDO
	243	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	244	!$acc end kernels
	245	ENDIF
	246
	247	!
	248	!-- Boundary conditions for salinity
	249	IF ( ocean ) THEN
	250	!
	251	!-- Bottom boundary: Neumann condition because salinity flux is always
	252	!-- given
	253	DO i = nxlg, nxrg
	254	DO j = nysg, nyng
	255	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	256	ENDDO
[1113]	257	ENDDO
[1]	258
	259	!
[1113]	260	!-- Top boundary: Dirichlet or Neumann
	261	IF ( ibc_sa_t == 0 ) THEN
	262	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	263	ELSEIF ( ibc_sa_t == 1 ) THEN
	264	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	265	ENDIF
	266
[1113]	267	ENDIF
	268
[1]	269	!
[1113]	270	!-- Boundary conditions for total water content or scalar,
	271	!-- bottom and top boundary (see also temperature)
	272	IF ( humidity .OR. passive_scalar ) THEN
	273	!
	274	!-- Surface conditions for constant_humidity_flux
	275	IF ( ibc_q_b == 0 ) THEN
[667]	276	DO i = nxlg, nxrg
	277	DO j = nysg, nyng
[1113]	278	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	279	ENDDO
	280	ENDDO
[1113]	281	ELSE
[667]	282	DO i = nxlg, nxrg
	283	DO j = nysg, nyng
[1113]	284	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	285	ENDDO
	286	ENDDO
[1113]	287	ENDIF
[95]	288	!
[1113]	289	!-- Top boundary
	290	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[95]	291
[1361]	292	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1113]	293	!
[1361]	294	!-- Surface conditions rain water (Dirichlet)
[1115]	295	DO i = nxlg, nxrg
	296	DO j = nysg, nyng
[1361]	297	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	298	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	299	ENDDO
[1115]	300	ENDDO
[1]	301	!
[1361]	302	!-- Top boundary condition for rain water (Dirichlet)
	303	qr_p(nzt+1,:,:) = 0.0_wp
	304	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	305
[1]	306	ENDIF
[1409]	307	ENDIF
[1]	308	!
[1409]	309	!-- In case of inflow at the south boundary the boundary for v is at nys
	310	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	311	!-- Since in prognostic_equations (cache optimized version) these levels are
	312	!-- handled as a prognostic level, boundary values have to be restored here.
	313	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	314	IF ( inflow_s ) THEN
	315	v_p(:,nys,:) = v_p(:,nys-1,:)
	316	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	317	ELSEIF ( inflow_n ) THEN
	318	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	319	ELSEIF ( inflow_l ) THEN
	320	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	321	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	322	ELSEIF ( inflow_r ) THEN
	323	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	324	ENDIF
[1]	325
	326	!
[1409]	327	!-- Lateral boundary conditions for scalar quantities at the outflow
	328	IF ( outflow_s ) THEN
	329	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	330	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	331	IF ( humidity .OR. passive_scalar ) THEN
	332	q_p(:,nys-1,:) = q_p(:,nys,:)
	333	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	334	precipitation) THEN
	335	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	336	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	337	ENDIF
[1409]	338	ENDIF
	339	ELSEIF ( outflow_n ) THEN
	340	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	341	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	342	IF ( humidity .OR. passive_scalar ) THEN
	343	q_p(:,nyn+1,:) = q_p(:,nyn,:)
	344	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	345	precipitation ) THEN
	346	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	347	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	348	ENDIF
[1409]	349	ENDIF
	350	ELSEIF ( outflow_l ) THEN
	351	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	352	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	353	IF ( humidity .OR. passive_scalar ) THEN
	354	q_p(:,:,nxl-1) = q_p(:,:,nxl)
	355	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	356	precipitation ) THEN
	357	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	358	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	359	ENDIF
[1409]	360	ENDIF
	361	ELSEIF ( outflow_r ) THEN
	362	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	363	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	364	IF ( humidity .OR. passive_scalar ) THEN
	365	q_p(:,:,nxr+1) = q_p(:,:,nxr)
	366	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	367	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	368	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	369	ENDIF
[1]	370	ENDIF
	371	ENDIF
	372
	373	!
[1159]	374	!-- Radiation boundary conditions for the velocities at the respective outflow.
	375	!-- The phase velocity is either assumed to the maximum phase velocity that
	376	!-- ensures numerical stability (CFL-condition) or calculated after
	377	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	378	IF ( outflow_s ) THEN
[75]	379
[1159]	380	IF ( use_cmax ) THEN
	381	u_p(:,-1,:) = u(:,0,:)
	382	v_p(:,0,:) = v(:,1,:)
	383	w_p(:,-1,:) = w(:,0,:)
	384	ELSEIF ( .NOT. use_cmax ) THEN
[75]	385
[978]	386	c_max = dy / dt_3d
[75]	387
[1353]	388	c_u_m_l = 0.0_wp
	389	c_v_m_l = 0.0_wp
	390	c_w_m_l = 0.0_wp
[978]	391
[1353]	392	c_u_m = 0.0_wp
	393	c_v_m = 0.0_wp
	394	c_w_m = 0.0_wp
[978]	395
[75]	396	!
[996]	397	!-- Calculate the phase speeds for u, v, and w, first local and then
	398	!-- average along the outflow boundary.
	399	DO k = nzb+1, nzt+1
	400	DO i = nxl, nxr
[75]	401
[106]	402	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	403
[1353]	404	IF ( denom /= 0.0_wp ) THEN
[996]	405	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	406	IF ( c_u(k,i) < 0.0_wp ) THEN
	407	c_u(k,i) = 0.0_wp
[106]	408	ELSEIF ( c_u(k,i) > c_max ) THEN
	409	c_u(k,i) = c_max
	410	ENDIF
	411	ELSE
	412	c_u(k,i) = c_max
[75]	413	ENDIF
	414
[106]	415	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	416
[1353]	417	IF ( denom /= 0.0_wp ) THEN
[996]	418	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	419	IF ( c_v(k,i) < 0.0_wp ) THEN
	420	c_v(k,i) = 0.0_wp
[106]	421	ELSEIF ( c_v(k,i) > c_max ) THEN
	422	c_v(k,i) = c_max
	423	ENDIF
	424	ELSE
	425	c_v(k,i) = c_max
[75]	426	ENDIF
	427
[106]	428	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	429
[1353]	430	IF ( denom /= 0.0_wp ) THEN
[996]	431	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	432	IF ( c_w(k,i) < 0.0_wp ) THEN
	433	c_w(k,i) = 0.0_wp
[106]	434	ELSEIF ( c_w(k,i) > c_max ) THEN
	435	c_w(k,i) = c_max
	436	ENDIF
	437	ELSE
	438	c_w(k,i) = c_max
[75]	439	ENDIF
[106]	440
[978]	441	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	442	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	443	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	444
[978]	445	ENDDO
	446	ENDDO
[75]	447
[978]	448	#if defined( __parallel )
	449	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	450	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	451	MPI_SUM, comm1dx, ierr )
	452	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	453	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	454	MPI_SUM, comm1dx, ierr )
	455	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	456	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	457	MPI_SUM, comm1dx, ierr )
	458	#else
	459	c_u_m = c_u_m_l
	460	c_v_m = c_v_m_l
	461	c_w_m = c_w_m_l
	462	#endif
	463
	464	c_u_m = c_u_m / (nx+1)
	465	c_v_m = c_v_m / (nx+1)
	466	c_w_m = c_w_m / (nx+1)
	467
[75]	468	!
[978]	469	!-- Save old timelevels for the next timestep
	470	IF ( intermediate_timestep_count == 1 ) THEN
	471	u_m_s(:,:,:) = u(:,0:1,:)
	472	v_m_s(:,:,:) = v(:,1:2,:)
	473	w_m_s(:,:,:) = w(:,0:1,:)
	474	ENDIF
	475
	476	!
	477	!-- Calculate the new velocities
[996]	478	DO k = nzb+1, nzt+1
	479	DO i = nxlg, nxrg
[978]	480	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	481	( u(k,-1,i) - u(k,0,i) ) * ddy
	482
[978]	483	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	484	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	485
[978]	486	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	487	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	488	ENDDO
[75]	489	ENDDO
	490
	491	!
[978]	492	!-- Bottom boundary at the outflow
	493	IF ( ibc_uv_b == 0 ) THEN
[1353]	494	u_p(nzb,-1,:) = 0.0_wp
	495	v_p(nzb,0,:) = 0.0_wp
[978]	496	ELSE
	497	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	498	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	499	ENDIF
[1353]	500	w_p(nzb,-1,:) = 0.0_wp
[73]	501
[75]	502	!
[978]	503	!-- Top boundary at the outflow
	504	IF ( ibc_uv_t == 0 ) THEN
	505	u_p(nzt+1,-1,:) = u_init(nzt+1)
	506	v_p(nzt+1,0,:) = v_init(nzt+1)
	507	ELSE
	508	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	509	v_p(nzt+1,0,:) = v(nzt,0,:)
	510	ENDIF
[1353]	511	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	512
[75]	513	ENDIF
[73]	514
[75]	515	ENDIF
[73]	516
[106]	517	IF ( outflow_n ) THEN
[73]	518
[1159]	519	IF ( use_cmax ) THEN
	520	u_p(:,ny+1,:) = u(:,ny,:)
	521	v_p(:,ny+1,:) = v(:,ny,:)
	522	w_p(:,ny+1,:) = w(:,ny,:)
	523	ELSEIF ( .NOT. use_cmax ) THEN
[75]	524
[978]	525	c_max = dy / dt_3d
[75]	526
[1353]	527	c_u_m_l = 0.0_wp
	528	c_v_m_l = 0.0_wp
	529	c_w_m_l = 0.0_wp
[978]	530
[1353]	531	c_u_m = 0.0_wp
	532	c_v_m = 0.0_wp
	533	c_w_m = 0.0_wp
[978]	534
[1]	535	!
[996]	536	!-- Calculate the phase speeds for u, v, and w, first local and then
	537	!-- average along the outflow boundary.
	538	DO k = nzb+1, nzt+1
	539	DO i = nxl, nxr
[73]	540
[106]	541	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	542
[1353]	543	IF ( denom /= 0.0_wp ) THEN
[996]	544	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	545	IF ( c_u(k,i) < 0.0_wp ) THEN
	546	c_u(k,i) = 0.0_wp
[106]	547	ELSEIF ( c_u(k,i) > c_max ) THEN
	548	c_u(k,i) = c_max
	549	ENDIF
	550	ELSE
	551	c_u(k,i) = c_max
[73]	552	ENDIF
	553
[106]	554	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	555
[1353]	556	IF ( denom /= 0.0_wp ) THEN
[996]	557	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	558	IF ( c_v(k,i) < 0.0_wp ) THEN
	559	c_v(k,i) = 0.0_wp
[106]	560	ELSEIF ( c_v(k,i) > c_max ) THEN
	561	c_v(k,i) = c_max
	562	ENDIF
	563	ELSE
	564	c_v(k,i) = c_max
[73]	565	ENDIF
	566
[106]	567	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	568
[1353]	569	IF ( denom /= 0.0_wp ) THEN
[996]	570	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	571	IF ( c_w(k,i) < 0.0_wp ) THEN
	572	c_w(k,i) = 0.0_wp
[106]	573	ELSEIF ( c_w(k,i) > c_max ) THEN
	574	c_w(k,i) = c_max
	575	ENDIF
	576	ELSE
	577	c_w(k,i) = c_max
[73]	578	ENDIF
[106]	579
[978]	580	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	581	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	582	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	583
[978]	584	ENDDO
	585	ENDDO
[73]	586
[978]	587	#if defined( __parallel )
	588	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	589	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	590	MPI_SUM, comm1dx, ierr )
	591	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	592	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	593	MPI_SUM, comm1dx, ierr )
	594	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	595	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	596	MPI_SUM, comm1dx, ierr )
	597	#else
	598	c_u_m = c_u_m_l
	599	c_v_m = c_v_m_l
	600	c_w_m = c_w_m_l
	601	#endif
	602
	603	c_u_m = c_u_m / (nx+1)
	604	c_v_m = c_v_m / (nx+1)
	605	c_w_m = c_w_m / (nx+1)
	606
[73]	607	!
[978]	608	!-- Save old timelevels for the next timestep
	609	IF ( intermediate_timestep_count == 1 ) THEN
	610	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	611	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	612	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	613	ENDIF
[73]	614
[978]	615	!
	616	!-- Calculate the new velocities
[996]	617	DO k = nzb+1, nzt+1
	618	DO i = nxlg, nxrg
[978]	619	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	620	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	621
[978]	622	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	623	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	624
[978]	625	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	626	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	627	ENDDO
[1]	628	ENDDO
	629
	630	!
[978]	631	!-- Bottom boundary at the outflow
	632	IF ( ibc_uv_b == 0 ) THEN
[1353]	633	u_p(nzb,ny+1,:) = 0.0_wp
	634	v_p(nzb,ny+1,:) = 0.0_wp
[978]	635	ELSE
	636	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	637	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	638	ENDIF
[1353]	639	w_p(nzb,ny+1,:) = 0.0_wp
[73]	640
	641	!
[978]	642	!-- Top boundary at the outflow
	643	IF ( ibc_uv_t == 0 ) THEN
	644	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	645	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	646	ELSE
	647	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	648	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	649	ENDIF
[1353]	650	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	651
[1]	652	ENDIF
	653
[75]	654	ENDIF
	655
[106]	656	IF ( outflow_l ) THEN
[75]	657
[1159]	658	IF ( use_cmax ) THEN
	659	u_p(:,:,-1) = u(:,:,0)
	660	v_p(:,:,0) = v(:,:,1)
	661	w_p(:,:,-1) = w(:,:,0)
	662	ELSEIF ( .NOT. use_cmax ) THEN
[75]	663
[978]	664	c_max = dx / dt_3d
[75]	665
[1353]	666	c_u_m_l = 0.0_wp
	667	c_v_m_l = 0.0_wp
	668	c_w_m_l = 0.0_wp
[978]	669
[1353]	670	c_u_m = 0.0_wp
	671	c_v_m = 0.0_wp
	672	c_w_m = 0.0_wp
[978]	673
[1]	674	!
[996]	675	!-- Calculate the phase speeds for u, v, and w, first local and then
	676	!-- average along the outflow boundary.
	677	DO k = nzb+1, nzt+1
	678	DO j = nys, nyn
[75]	679
[106]	680	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	681
[1353]	682	IF ( denom /= 0.0_wp ) THEN
[996]	683	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	684	IF ( c_u(k,j) < 0.0_wp ) THEN
	685	c_u(k,j) = 0.0_wp
[107]	686	ELSEIF ( c_u(k,j) > c_max ) THEN
	687	c_u(k,j) = c_max
[106]	688	ENDIF
	689	ELSE
[107]	690	c_u(k,j) = c_max
[75]	691	ENDIF
	692
[106]	693	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	694
[1353]	695	IF ( denom /= 0.0_wp ) THEN
[996]	696	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	697	IF ( c_v(k,j) < 0.0_wp ) THEN
	698	c_v(k,j) = 0.0_wp
[106]	699	ELSEIF ( c_v(k,j) > c_max ) THEN
	700	c_v(k,j) = c_max
	701	ENDIF
	702	ELSE
	703	c_v(k,j) = c_max
[75]	704	ENDIF
	705
[106]	706	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	707
[1353]	708	IF ( denom /= 0.0_wp ) THEN
[996]	709	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	710	IF ( c_w(k,j) < 0.0_wp ) THEN
	711	c_w(k,j) = 0.0_wp
[106]	712	ELSEIF ( c_w(k,j) > c_max ) THEN
	713	c_w(k,j) = c_max
	714	ENDIF
	715	ELSE
	716	c_w(k,j) = c_max
[75]	717	ENDIF
[106]	718
[978]	719	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	720	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	721	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	722
[978]	723	ENDDO
	724	ENDDO
[75]	725
[978]	726	#if defined( __parallel )
	727	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	728	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	729	MPI_SUM, comm1dy, ierr )
	730	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	731	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	732	MPI_SUM, comm1dy, ierr )
	733	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	734	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	735	MPI_SUM, comm1dy, ierr )
	736	#else
	737	c_u_m = c_u_m_l
	738	c_v_m = c_v_m_l
	739	c_w_m = c_w_m_l
	740	#endif
	741
	742	c_u_m = c_u_m / (ny+1)
	743	c_v_m = c_v_m / (ny+1)
	744	c_w_m = c_w_m / (ny+1)
	745
[73]	746	!
[978]	747	!-- Save old timelevels for the next timestep
	748	IF ( intermediate_timestep_count == 1 ) THEN
	749	u_m_l(:,:,:) = u(:,:,1:2)
	750	v_m_l(:,:,:) = v(:,:,0:1)
	751	w_m_l(:,:,:) = w(:,:,0:1)
	752	ENDIF
	753
	754	!
	755	!-- Calculate the new velocities
[996]	756	DO k = nzb+1, nzt+1
[1113]	757	DO j = nysg, nyng
[978]	758	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	759	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	760
[978]	761	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	762	( v(k,j,-1) - v(k,j,0) ) * ddx
	763
[978]	764	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	765	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	766	ENDDO
[75]	767	ENDDO
	768
	769	!
[978]	770	!-- Bottom boundary at the outflow
	771	IF ( ibc_uv_b == 0 ) THEN
[1353]	772	u_p(nzb,:,0) = 0.0_wp
	773	v_p(nzb,:,-1) = 0.0_wp
[978]	774	ELSE
	775	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	776	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	777	ENDIF
[1353]	778	w_p(nzb,:,-1) = 0.0_wp
[1]	779
[75]	780	!
[978]	781	!-- Top boundary at the outflow
	782	IF ( ibc_uv_t == 0 ) THEN
	783	u_p(nzt+1,:,-1) = u_init(nzt+1)
	784	v_p(nzt+1,:,-1) = v_init(nzt+1)
	785	ELSE
	786	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	787	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	788	ENDIF
[1353]	789	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	790
[75]	791	ENDIF
[73]	792
[75]	793	ENDIF
[73]	794
[106]	795	IF ( outflow_r ) THEN
[73]	796
[1159]	797	IF ( use_cmax ) THEN
	798	u_p(:,:,nx+1) = u(:,:,nx)
	799	v_p(:,:,nx+1) = v(:,:,nx)
	800	w_p(:,:,nx+1) = w(:,:,nx)
	801	ELSEIF ( .NOT. use_cmax ) THEN
[75]	802
[978]	803	c_max = dx / dt_3d
[75]	804
[1353]	805	c_u_m_l = 0.0_wp
	806	c_v_m_l = 0.0_wp
	807	c_w_m_l = 0.0_wp
[978]	808
[1353]	809	c_u_m = 0.0_wp
	810	c_v_m = 0.0_wp
	811	c_w_m = 0.0_wp
[978]	812
[1]	813	!
[996]	814	!-- Calculate the phase speeds for u, v, and w, first local and then
	815	!-- average along the outflow boundary.
	816	DO k = nzb+1, nzt+1
	817	DO j = nys, nyn
[73]	818
[106]	819	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	820
[1353]	821	IF ( denom /= 0.0_wp ) THEN
[996]	822	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	823	IF ( c_u(k,j) < 0.0_wp ) THEN
	824	c_u(k,j) = 0.0_wp
[106]	825	ELSEIF ( c_u(k,j) > c_max ) THEN
	826	c_u(k,j) = c_max
	827	ENDIF
	828	ELSE
	829	c_u(k,j) = c_max
[73]	830	ENDIF
	831
[106]	832	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	833
[1353]	834	IF ( denom /= 0.0_wp ) THEN
[996]	835	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	836	IF ( c_v(k,j) < 0.0_wp ) THEN
	837	c_v(k,j) = 0.0_wp
[106]	838	ELSEIF ( c_v(k,j) > c_max ) THEN
	839	c_v(k,j) = c_max
	840	ENDIF
	841	ELSE
	842	c_v(k,j) = c_max
[73]	843	ENDIF
	844
[106]	845	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	846
[1353]	847	IF ( denom /= 0.0_wp ) THEN
[996]	848	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	849	IF ( c_w(k,j) < 0.0_wp ) THEN
	850	c_w(k,j) = 0.0_wp
[106]	851	ELSEIF ( c_w(k,j) > c_max ) THEN
	852	c_w(k,j) = c_max
	853	ENDIF
	854	ELSE
	855	c_w(k,j) = c_max
[73]	856	ENDIF
[106]	857
[978]	858	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	859	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	860	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	861
[978]	862	ENDDO
	863	ENDDO
[73]	864
[978]	865	#if defined( __parallel )
	866	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	867	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	868	MPI_SUM, comm1dy, ierr )
	869	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	870	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	871	MPI_SUM, comm1dy, ierr )
	872	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	873	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	874	MPI_SUM, comm1dy, ierr )
	875	#else
	876	c_u_m = c_u_m_l
	877	c_v_m = c_v_m_l
	878	c_w_m = c_w_m_l
	879	#endif
	880
	881	c_u_m = c_u_m / (ny+1)
	882	c_v_m = c_v_m / (ny+1)
	883	c_w_m = c_w_m / (ny+1)
	884
[73]	885	!
[978]	886	!-- Save old timelevels for the next timestep
	887	IF ( intermediate_timestep_count == 1 ) THEN
	888	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	889	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	890	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	891	ENDIF
[73]	892
[978]	893	!
	894	!-- Calculate the new velocities
[996]	895	DO k = nzb+1, nzt+1
[1113]	896	DO j = nysg, nyng
[978]	897	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	898	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	899
[978]	900	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	901	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	902
[978]	903	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	904	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	905	ENDDO
[73]	906	ENDDO
	907
	908	!
[978]	909	!-- Bottom boundary at the outflow
	910	IF ( ibc_uv_b == 0 ) THEN
[1353]	911	u_p(nzb,:,nx+1) = 0.0_wp
	912	v_p(nzb,:,nx+1) = 0.0_wp
[978]	913	ELSE
	914	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	915	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	916	ENDIF
[1353]	917	w_p(nzb,:,nx+1) = 0.0_wp
[73]	918
	919	!
[978]	920	!-- Top boundary at the outflow
	921	IF ( ibc_uv_t == 0 ) THEN
	922	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	923	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	924	ELSE
	925	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	926	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	927	ENDIF
[1353]	928	w(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	929
[1]	930	ENDIF
	931
	932	ENDIF
	933
	934	END SUBROUTINE boundary_conds

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