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source: palm/trunk/SOURCE/boundary_conds.f90 @ 980

Last change on this file since 980 was 979, checked in by fricke, 12 years ago
last commit documented
Property svn:keywords set to `Id`
File size: 26.6 KB

Rev	Line
[1]	1	SUBROUTINE boundary_conds( range )
	2
	3	!------------------------------------------------------------------------------!
[484]	4	! Current revisions:
[1]	5	! -----------------
[768]	6	!
[667]	7	!
[1]	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: boundary_conds.f90 979 2012-08-09 08:50:11Z maronga $
[39]	11	!
[979]	12	! 978 2012-08-09 08:28:32Z fricke
	13	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	14	! Outflow boundary conditions for the velocity components can be set to Neumann
	15	! conditions or to radiation conditions with a horizontal averaged phase
	16	! velocity.
	17	!
[876]	18	! 875 2012-04-02 15:35:15Z gryschka
	19	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	20	!
[768]	21	! 767 2011-10-14 06:39:12Z raasch
	22	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
	23	!
[668]	24	! 667 2010-12-23 12:06:00Z suehring/gryschka
	25	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	26	! Removed mirror boundary conditions for u and v at the bottom in case of
	27	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
	28	! in init_3d_model
	29	!
[110]	30	! 107 2007-08-17 13:54:45Z raasch
	31	! Boundary conditions for temperature adjusted for coupled runs,
	32	! bugfixes for the radiation boundary conditions at the outflow: radiation
	33	! conditions are used for every substep, phase speeds are calculated for the
	34	! first Runge-Kutta substep only and then reused, several index values changed
	35	!
[98]	36	! 95 2007-06-02 16:48:38Z raasch
	37	! Boundary conditions for salinity added
	38	!
[77]	39	! 75 2007-03-22 09:54:05Z raasch
	40	! The "main" part sets conditions for time level t+dt instead of level t,
	41	! outflow boundary conditions changed from Neumann to radiation condition,
	42	! uxrp, vynp eliminated, moisture renamed humidity
	43	!
[39]	44	! 19 2007-02-23 04:53:48Z raasch
	45	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
	46	! gridpoints are now calculated by the prognostic equation,
	47	! Dirichlet and zero gradient condition for pt established at top boundary
	48	!
[3]	49	! RCS Log replace by Id keyword, revision history cleaned up
	50	!
[1]	51	! Revision 1.15 2006/02/23 09:54:55 raasch
	52	! Surface boundary conditions in case of topography: nzb replaced by
	53	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
	54	! unchanged (still using nzb) because a non-flat topography must use a
	55	! Prandtl-layer, which don't requires explicit setting of the surface values.
	56	!
	57	! Revision 1.1 1997/09/12 06:21:34 raasch
	58	! Initial revision
	59	!
	60	!
	61	! Description:
	62	! ------------
	63	! Boundary conditions for the prognostic quantities (range='main').
	64	! In case of non-cyclic lateral boundaries the conditions for velocities at
	65	! the outflow are set after the pressure solver has been called (range=
	66	! 'outflow_uvw').
	67	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	68	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	69	! handled in routine exchange_horiz. Pressure boundary conditions are
	70	! explicitly set in routines pres, poisfft, poismg and sor.
	71	!------------------------------------------------------------------------------!
	72
	73	USE arrays_3d
	74	USE control_parameters
	75	USE grid_variables
	76	USE indices
	77	USE pegrid
	78
	79	IMPLICIT NONE
	80
	81	CHARACTER (LEN=*) :: range
	82
	83	INTEGER :: i, j, k
	84
[106]	85	REAL :: c_max, denom
[1]	86
[73]	87
[1]	88	IF ( range == 'main') THEN
	89	!
[667]	90	!-- Bottom boundary
	91	IF ( ibc_uv_b == 1 ) THEN
[73]	92	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	93	v_p(nzb,:,:) = v_p(nzb+1,:,:)
[1]	94	ENDIF
[667]	95	DO i = nxlg, nxrg
	96	DO j = nysg, nyng
[73]	97	w_p(nzb_w_inner(j,i),j,i) = 0.0
[1]	98	ENDDO
	99	ENDDO
	100
	101	!
	102	!-- Top boundary
	103	IF ( ibc_uv_t == 0 ) THEN
[767]	104	u_p(nzt+1,:,:) = u_init(nzt+1)
	105	v_p(nzt+1,:,:) = v_init(nzt+1)
[1]	106	ELSE
[667]	107	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	108	v_p(nzt+1,:,:) = v_p(nzt,:,:)
[1]	109	ENDIF
[73]	110	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
[1]	111
	112	!
[102]	113	!-- Temperature at bottom boundary.
	114	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	115	!-- the sea surface temperature of the coupled ocean model.
[1]	116	IF ( ibc_pt_b == 0 ) THEN
[667]	117	DO i = nxlg, nxrg
	118	DO j = nysg, nyng
[73]	119	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	120	ENDDO
[73]	121	ENDDO
[102]	122	ELSEIF ( ibc_pt_b == 1 ) THEN
[667]	123	DO i = nxlg, nxrg
	124	DO j = nysg, nyng
[73]	125	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
[1]	126	ENDDO
	127	ENDDO
	128	ENDIF
	129
	130	!
	131	!-- Temperature at top boundary
[19]	132	IF ( ibc_pt_t == 0 ) THEN
[667]	133	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[19]	134	ELSEIF ( ibc_pt_t == 1 ) THEN
[667]	135	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
[19]	136	ELSEIF ( ibc_pt_t == 2 ) THEN
[667]	137	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1]	138	ENDIF
	139
	140	!
	141	!-- Boundary conditions for TKE
	142	!-- Generally Neumann conditions with de/dz=0 are assumed
	143	IF ( .NOT. constant_diffusion ) THEN
[667]	144	DO i = nxlg, nxrg
	145	DO j = nysg, nyng
[73]	146	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[1]	147	ENDDO
	148	ENDDO
[73]	149	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[1]	150	ENDIF
	151
	152	!
[95]	153	!-- Boundary conditions for salinity
	154	IF ( ocean ) THEN
	155	!
	156	!-- Bottom boundary: Neumann condition because salinity flux is always
	157	!-- given
[667]	158	DO i = nxlg, nxrg
	159	DO j = nysg, nyng
[95]	160	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
	161	ENDDO
	162	ENDDO
	163
	164	!
	165	!-- Top boundary: Dirichlet or Neumann
	166	IF ( ibc_sa_t == 0 ) THEN
[667]	167	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
[95]	168	ELSEIF ( ibc_sa_t == 1 ) THEN
[667]	169	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[95]	170	ENDIF
	171
	172	ENDIF
	173
	174	!
[1]	175	!-- Boundary conditions for total water content or scalar,
[95]	176	!-- bottom and top boundary (see also temperature)
[75]	177	IF ( humidity .OR. passive_scalar ) THEN
[1]	178	!
[75]	179	!-- Surface conditions for constant_humidity_flux
[1]	180	IF ( ibc_q_b == 0 ) THEN
[667]	181	DO i = nxlg, nxrg
	182	DO j = nysg, nyng
[73]	183	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	184	ENDDO
[73]	185	ENDDO
[1]	186	ELSE
[667]	187	DO i = nxlg, nxrg
	188	DO j = nysg, nyng
[73]	189	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[1]	190	ENDDO
	191	ENDDO
	192	ENDIF
	193	!
	194	!-- Top boundary
[73]	195	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[667]	196
[1]	197	ENDIF
	198
	199	!
[875]	200	!-- In case of inflow at the south boundary the boundary for v is at nys
	201	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	202	!-- Since in prognostic_equations (cache optimized version) these levels are
	203	!-- handled as a prognostic level, boundary values have to be restored here.
[978]	204	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[1]	205	IF ( inflow_s ) THEN
[73]	206	v_p(:,nys,:) = v_p(:,nys-1,:)
[978]	207	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	208	ELSEIF ( inflow_n ) THEN
	209	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1]	210	ELSEIF ( inflow_l ) THEN
[73]	211	u_p(:,:,nxl) = u_p(:,:,nxl-1)
[978]	212	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	213	ELSEIF ( inflow_r ) THEN
	214	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1]	215	ENDIF
	216
	217	!
	218	!-- Lateral boundary conditions for scalar quantities at the outflow
	219	IF ( outflow_s ) THEN
[73]	220	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	221	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[75]	222	IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:)
[1]	223	ELSEIF ( outflow_n ) THEN
[73]	224	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	225	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[75]	226	IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1]	227	ELSEIF ( outflow_l ) THEN
[73]	228	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	229	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[75]	230	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1]	231	ELSEIF ( outflow_r ) THEN
[73]	232	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	233	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[75]	234	IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1]	235	ENDIF
	236
	237	ENDIF
	238
	239	!
[978]	240	!-- Neumann or Radiation boundary condition for the velocities at the
	241	!-- respective outflow
[106]	242	IF ( outflow_s ) THEN
[75]	243
[978]	244	IF ( bc_ns_dirneu ) THEN
	245	u(:,-1,:) = u(:,0,:)
	246	v(:,0,:) = v(:,1,:)
	247	w(:,-1,:) = w(:,0,:)
	248	ELSEIF ( bc_ns_dirrad ) THEN
[75]	249
[978]	250	c_max = dy / dt_3d
[75]	251
[978]	252	c_u_m_l = 0.0
	253	c_v_m_l = 0.0
	254	c_w_m_l = 0.0
	255
	256	c_u_m = 0.0
	257	c_v_m = 0.0
	258	c_w_m = 0.0
	259
[75]	260	!
[978]	261	!-- Calculate the phase speeds for u,v, and w, first local and then
	262	!-- average parallel along the outflow boundary.
	263	DO k = nzb+1, nzt+1
	264	DO i = nxl, nxr
[75]	265
[106]	266	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	267
	268	IF ( denom /= 0.0 ) THEN
[978]	269	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) &
	270	/ ( denom * tsc(2) )
[106]	271	IF ( c_u(k,i) < 0.0 ) THEN
	272	c_u(k,i) = 0.0
	273	ELSEIF ( c_u(k,i) > c_max ) THEN
	274	c_u(k,i) = c_max
	275	ENDIF
	276	ELSE
	277	c_u(k,i) = c_max
[75]	278	ENDIF
	279
[106]	280	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	281
	282	IF ( denom /= 0.0 ) THEN
[978]	283	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) &
	284	/ ( denom * tsc(2) )
[106]	285	IF ( c_v(k,i) < 0.0 ) THEN
	286	c_v(k,i) = 0.0
	287	ELSEIF ( c_v(k,i) > c_max ) THEN
	288	c_v(k,i) = c_max
	289	ENDIF
	290	ELSE
	291	c_v(k,i) = c_max
[75]	292	ENDIF
	293
[106]	294	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	295
[106]	296	IF ( denom /= 0.0 ) THEN
[978]	297	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) &
	298	/ ( denom * tsc(2) )
[106]	299	IF ( c_w(k,i) < 0.0 ) THEN
	300	c_w(k,i) = 0.0
	301	ELSEIF ( c_w(k,i) > c_max ) THEN
	302	c_w(k,i) = c_max
	303	ENDIF
	304	ELSE
	305	c_w(k,i) = c_max
[75]	306	ENDIF
[106]	307
[978]	308	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	309	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	310	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	311
[978]	312	ENDDO
	313	ENDDO
[75]	314
[978]	315	#if defined( __parallel )
	316	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	317	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	318	MPI_SUM, comm1dx, ierr )
	319	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	320	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	321	MPI_SUM, comm1dx, ierr )
	322	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	323	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	324	MPI_SUM, comm1dx, ierr )
	325	#else
	326	c_u_m = c_u_m_l
	327	c_v_m = c_v_m_l
	328	c_w_m = c_w_m_l
	329	#endif
	330
	331	c_u_m = c_u_m / (nx+1)
	332	c_v_m = c_v_m / (nx+1)
	333	c_w_m = c_w_m / (nx+1)
	334
[75]	335	!
[978]	336	!-- Save old timelevels for the next timestep
	337	IF ( intermediate_timestep_count == 1 ) THEN
	338	u_m_s(:,:,:) = u(:,0:1,:)
	339	v_m_s(:,:,:) = v(:,1:2,:)
	340	w_m_s(:,:,:) = w(:,0:1,:)
	341	ENDIF
	342
	343	!
	344	!-- Calculate the new velocities
	345	DO k = nzb+1, nzt+1
	346	DO i = nxlg, nxrg
	347	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	348	( u(k,-1,i) - u(k,0,i) ) * ddy
	349
[978]	350	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	351	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	352
[978]	353	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	354	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	355	ENDDO
[75]	356	ENDDO
	357
	358	!
[978]	359	!-- Bottom boundary at the outflow
	360	IF ( ibc_uv_b == 0 ) THEN
	361	u_p(nzb,-1,:) = 0.0
	362	v_p(nzb,0,:) = 0.0
	363	ELSE
	364	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	365	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	366	ENDIF
	367	w_p(nzb,-1,:) = 0.0
[73]	368
[75]	369	!
[978]	370	!-- Top boundary at the outflow
	371	IF ( ibc_uv_t == 0 ) THEN
	372	u_p(nzt+1,-1,:) = u_init(nzt+1)
	373	v_p(nzt+1,0,:) = v_init(nzt+1)
	374	ELSE
	375	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	376	v_p(nzt+1,0,:) = v(nzt,0,:)
	377	ENDIF
	378	w_p(nzt:nzt+1,-1,:) = 0.0
	379
[75]	380	ENDIF
[73]	381
[75]	382	ENDIF
[73]	383
[106]	384	IF ( outflow_n ) THEN
[73]	385
[978]	386	IF ( bc_ns_neudir ) THEN
	387	u(:,ny+1,:) = u(:,ny,:)
	388	v(:,ny+1,:) = v(:,ny,:)
	389	w(:,ny+1,:) = w(:,ny,:)
	390	ELSEIF ( bc_ns_dirrad ) THEN
[75]	391
[978]	392	c_max = dy / dt_3d
[75]	393
[978]	394	c_u_m_l = 0.0
	395	c_v_m_l = 0.0
	396	c_w_m_l = 0.0
	397
	398	c_u_m = 0.0
	399	c_v_m = 0.0
	400	c_w_m = 0.0
	401
[1]	402	!
[978]	403	!-- Calculate the phase speeds for u,v, and w, first local and then
	404	!-- average parallel along the outflow boundary.
	405	DO k = nzb+1, nzt+1
	406	DO i = nxl, nxr
[73]	407
[106]	408	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	409
	410	IF ( denom /= 0.0 ) THEN
[978]	411	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) &
	412	/ ( denom * tsc(2) )
[106]	413	IF ( c_u(k,i) < 0.0 ) THEN
	414	c_u(k,i) = 0.0
	415	ELSEIF ( c_u(k,i) > c_max ) THEN
	416	c_u(k,i) = c_max
	417	ENDIF
	418	ELSE
	419	c_u(k,i) = c_max
[73]	420	ENDIF
	421
[106]	422	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	423
[106]	424	IF ( denom /= 0.0 ) THEN
[978]	425	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) &
	426	/ ( denom * tsc(2) )
[106]	427	IF ( c_v(k,i) < 0.0 ) THEN
	428	c_v(k,i) = 0.0
	429	ELSEIF ( c_v(k,i) > c_max ) THEN
	430	c_v(k,i) = c_max
	431	ENDIF
	432	ELSE
	433	c_v(k,i) = c_max
[73]	434	ENDIF
	435
[106]	436	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	437
[106]	438	IF ( denom /= 0.0 ) THEN
[978]	439	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) &
	440	/ ( denom * tsc(2) )
[106]	441	IF ( c_w(k,i) < 0.0 ) THEN
	442	c_w(k,i) = 0.0
	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
[73]	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
[73]	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
[73]	477	!
[978]	478	!-- Save old timelevels for the next timestep
	479	IF ( intermediate_timestep_count == 1 ) THEN
	480	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	481	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	482	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	483	ENDIF
[73]	484
[978]	485	!
	486	!-- Calculate the new velocities
	487	DO k = nzb+1, nzt+1
	488	DO i = nxlg, nxrg
	489	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	490	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	491
[978]	492	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	493	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	494
[978]	495	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	496	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	497	ENDDO
[1]	498	ENDDO
	499
	500	!
[978]	501	!-- Bottom boundary at the outflow
	502	IF ( ibc_uv_b == 0 ) THEN
	503	u_p(nzb,ny+1,:) = 0.0
	504	v_p(nzb,ny+1,:) = 0.0
	505	ELSE
	506	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	507	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	508	ENDIF
	509	w_p(nzb,ny+1,:) = 0.0
[73]	510
	511	!
[978]	512	!-- Top boundary at the outflow
	513	IF ( ibc_uv_t == 0 ) THEN
	514	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	515	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	516	ELSE
	517	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	518	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	519	ENDIF
	520	w_p(nzt:nzt+1,ny+1,:) = 0.0
	521
[1]	522	ENDIF
	523
[75]	524	ENDIF
	525
[106]	526	IF ( outflow_l ) THEN
[75]	527
[978]	528	IF ( bc_lr_neudir ) THEN
	529	u(:,:,-1) = u(:,:,0)
	530	v(:,:,0) = v(:,:,1)
	531	w(:,:,-1) = w(:,:,0)
	532	ELSEIF ( bc_ns_dirrad ) THEN
[75]	533
[978]	534	c_max = dx / dt_3d
[75]	535
[978]	536	c_u_m_l = 0.0
	537	c_v_m_l = 0.0
	538	c_w_m_l = 0.0
	539
	540	c_u_m = 0.0
	541	c_v_m = 0.0
	542	c_w_m = 0.0
	543
[1]	544	!
[978]	545	!-- Calculate the phase speeds for u,v, and w, first local and then
	546	!-- average parallel along the outflow boundary.
	547	DO k = nzb+1, nzt+1
	548	DO j = nys, nyn
[75]	549
[106]	550	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	551
	552	IF ( denom /= 0.0 ) THEN
[978]	553	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) &
	554	/ ( denom * tsc(2) )
[107]	555	IF ( c_u(k,j) < 0.0 ) THEN
[106]	556	c_u(k,j) = 0.0
[107]	557	ELSEIF ( c_u(k,j) > c_max ) THEN
	558	c_u(k,j) = c_max
[106]	559	ENDIF
	560	ELSE
[107]	561	c_u(k,j) = c_max
[75]	562	ENDIF
	563
[106]	564	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	565
[106]	566	IF ( denom /= 0.0 ) THEN
[978]	567	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) &
	568	/ ( denom * tsc(2) )
[106]	569	IF ( c_v(k,j) < 0.0 ) THEN
	570	c_v(k,j) = 0.0
	571	ELSEIF ( c_v(k,j) > c_max ) THEN
	572	c_v(k,j) = c_max
	573	ENDIF
	574	ELSE
	575	c_v(k,j) = c_max
[75]	576	ENDIF
	577
[106]	578	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	579
[106]	580	IF ( denom /= 0.0 ) THEN
[978]	581	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) &
	582	/ ( denom * tsc(2) )
[106]	583	IF ( c_w(k,j) < 0.0 ) THEN
	584	c_w(k,j) = 0.0
	585	ELSEIF ( c_w(k,j) > c_max ) THEN
	586	c_w(k,j) = c_max
	587	ENDIF
	588	ELSE
	589	c_w(k,j) = c_max
[75]	590	ENDIF
[106]	591
[978]	592	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	593	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	594	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	595
[978]	596	ENDDO
	597	ENDDO
[75]	598
[978]	599	#if defined( __parallel )
	600	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	601	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	602	MPI_SUM, comm1dy, ierr )
	603	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	604	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	605	MPI_SUM, comm1dy, ierr )
	606	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	607	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	608	MPI_SUM, comm1dy, ierr )
	609	#else
	610	c_u_m = c_u_m_l
	611	c_v_m = c_v_m_l
	612	c_w_m = c_w_m_l
	613	#endif
	614
	615	c_u_m = c_u_m / (ny+1)
	616	c_v_m = c_v_m / (ny+1)
	617	c_w_m = c_w_m / (ny+1)
	618
[73]	619	!
[978]	620	!-- Save old timelevels for the next timestep
	621	IF ( intermediate_timestep_count == 1 ) THEN
	622	u_m_l(:,:,:) = u(:,:,1:2)
	623	v_m_l(:,:,:) = v(:,:,0:1)
	624	w_m_l(:,:,:) = w(:,:,0:1)
	625	ENDIF
	626
	627	!
	628	!-- Calculate the new velocities
	629	DO k = nzb+1, nzt+1
	630	DO i = nxlg, nxrg
	631	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	632	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	633
[978]	634	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	635	( v(k,j,-1) - v(k,j,0) ) * ddx
	636
[978]	637	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	638	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	639	ENDDO
[75]	640	ENDDO
	641
	642	!
[978]	643	!-- Bottom boundary at the outflow
	644	IF ( ibc_uv_b == 0 ) THEN
	645	u_p(nzb,:,0) = 0.0
	646	v_p(nzb,:,-1) = 0.0
	647	ELSE
	648	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	649	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	650	ENDIF
	651	w_p(nzb,:,-1) = 0.0
[1]	652
[75]	653	!
[978]	654	!-- Top boundary at the outflow
	655	IF ( ibc_uv_t == 0 ) THEN
	656	u_p(nzt+1,:,-1) = u_init(nzt+1)
	657	v_p(nzt+1,:,-1) = v_init(nzt+1)
	658	ELSE
	659	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	660	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	661	ENDIF
	662	w_p(nzt:nzt+1,:,-1) = 0.0
	663
[75]	664	ENDIF
[73]	665
[75]	666	ENDIF
[73]	667
[106]	668	IF ( outflow_r ) THEN
[73]	669
[978]	670	IF ( bc_lr_dirneu ) THEN
	671	u(:,:,nx+1) = u(:,:,nx)
	672	v(:,:,nx+1) = v(:,:,nx)
	673	w(:,:,nx+1) = w(:,:,nx)
	674	ELSEIF ( bc_ns_dirrad ) THEN
[75]	675
[978]	676	c_max = dx / dt_3d
[75]	677
[978]	678	c_u_m_l = 0.0
	679	c_v_m_l = 0.0
	680	c_w_m_l = 0.0
	681
	682	c_u_m = 0.0
	683	c_v_m = 0.0
	684	c_w_m = 0.0
	685
[1]	686	!
[978]	687	!-- Calculate the phase speeds for u,v, and w, first local and then
	688	!-- average parallel along the outflow boundary.
	689	DO k = nzb+1, nzt+1
	690	DO j = nys, nyn
[73]	691
[106]	692	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	693
	694	IF ( denom /= 0.0 ) THEN
[978]	695	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) &
	696	/ ( denom * tsc(2) )
[106]	697	IF ( c_u(k,j) < 0.0 ) THEN
	698	c_u(k,j) = 0.0
	699	ELSEIF ( c_u(k,j) > c_max ) THEN
	700	c_u(k,j) = c_max
	701	ENDIF
	702	ELSE
	703	c_u(k,j) = c_max
[73]	704	ENDIF
	705
[106]	706	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	707
[106]	708	IF ( denom /= 0.0 ) THEN
[978]	709	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) &
	710	/ ( denom * tsc(2) )
[106]	711	IF ( c_v(k,j) < 0.0 ) THEN
	712	c_v(k,j) = 0.0
	713	ELSEIF ( c_v(k,j) > c_max ) THEN
	714	c_v(k,j) = c_max
	715	ENDIF
	716	ELSE
	717	c_v(k,j) = c_max
[73]	718	ENDIF
	719
[106]	720	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	721
[106]	722	IF ( denom /= 0.0 ) THEN
[978]	723	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) &
	724	/ ( denom * tsc(2) )
[106]	725	IF ( c_w(k,j) < 0.0 ) THEN
	726	c_w(k,j) = 0.0
	727	ELSEIF ( c_w(k,j) > c_max ) THEN
	728	c_w(k,j) = c_max
	729	ENDIF
	730	ELSE
	731	c_w(k,j) = c_max
[73]	732	ENDIF
[106]	733
[978]	734	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	735	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	736	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	737
[978]	738	ENDDO
	739	ENDDO
[73]	740
[978]	741	#if defined( __parallel )
	742	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	743	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	744	MPI_SUM, comm1dy, ierr )
	745	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	746	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	750	MPI_SUM, comm1dy, ierr )
	751	#else
	752	c_u_m = c_u_m_l
	753	c_v_m = c_v_m_l
	754	c_w_m = c_w_m_l
	755	#endif
	756
	757	c_u_m = c_u_m / (ny+1)
	758	c_v_m = c_v_m / (ny+1)
	759	c_w_m = c_w_m / (ny+1)
	760
[73]	761	!
[978]	762	!-- Save old timelevels for the next timestep
	763	IF ( intermediate_timestep_count == 1 ) THEN
	764	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	765	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	766	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	767	ENDIF
[73]	768
[978]	769	!
	770	!-- Calculate the new velocities
	771	DO k = nzb+1, nzt+1
	772	DO i = nxlg, nxrg
	773	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	774	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	775
[978]	776	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	777	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	778
[978]	779	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	780	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	781	ENDDO
[73]	782	ENDDO
	783
	784	!
[978]	785	!-- Bottom boundary at the outflow
	786	IF ( ibc_uv_b == 0 ) THEN
	787	u_p(nzb,:,nx+1) = 0.0
	788	v_p(nzb,:,nx+1) = 0.0
	789	ELSE
	790	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	791	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	792	ENDIF
	793	w_p(nzb,:,nx+1) = 0.0
[73]	794
	795	!
[978]	796	!-- Top boundary at the outflow
	797	IF ( ibc_uv_t == 0 ) THEN
	798	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	799	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	800	ELSE
	801	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	802	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	803	ENDIF
	804	w(nzt:nzt+1,:,nx+1) = 0.0
	805
[1]	806	ENDIF
	807
	808	ENDIF
	809
	810	END SUBROUTINE boundary_conds

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