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source: palm/trunk/SOURCE/model_1d_mod.f90 @ 2705

Last change on this file since 2705 was 2696, checked in by kanani, 7 years ago
Merge of branch palm4u into trunk
Property svn:keywords set to `Id`
File size: 41.0 KB

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[2338]	1	!> @file model_1d_mod.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[2101]	17	! Copyright 1997-2017 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[254]	20	! Current revisions:
[1]	21	! -----------------
[1961]	22	!
[2299]	23	!
[1961]	24	! Former revisions:
	25	! -----------------
	26	! $Id: model_1d_mod.f90 2696 2017-12-14 17:12:51Z maronga $
[2696]	27	! implement TKE-e closure
	28	! modification of dissipation production according to Detering and Etling
	29	! reduced factor for timestep criterion to 0.125 and first dt to 1s (TG)
	30	!
	31	! 2339 2017-08-07 13:55:26Z gronemeier
[2339]	32	! corrected timestamp in header
	33	!
	34	! 2338 2017-08-07 12:15:38Z gronemeier
[2338]	35	! renamed init_1d_model to model_1d_mod and and formatted it as a module;
	36	! reformatted output of profiles
	37	!
[2339]	38	! 2337 2017-08-07 08:59:53Z gronemeier
[2337]	39	! revised calculation of mixing length
	40	! removed rounding of time step
	41	! corrected calculation of virtual potential temperature
	42	!
	43	! 2334 2017-08-04 11:57:04Z gronemeier
[2334]	44	! set c_m = 0.4 according to Detering and Etling (1985)
	45	!
	46	! 2299 2017-06-29 10:14:38Z maronga
[2299]	47	! Removed german text
[1961]	48	!
[2299]	49	! 2101 2017-01-05 16:42:31Z suehring
	50	!
[2060]	51	! 2059 2016-11-10 14:20:40Z maronga
	52	! Corrected min/max values of Rif.
	53	!
[2001]	54	! 2000 2016-08-20 18:09:15Z knoop
	55	! Forced header and separation lines into 80 columns
	56	!
[1961]	57	! 1960 2016-07-12 16:34:24Z suehring
[1960]	58	! Remove passive_scalar from IF-statements, as 1D-scalar profile is effectively
	59	! not used.
	60	! Formatting adjustment
[1809]	61	!
	62	! 1808 2016-04-05 19:44:00Z raasch
	63	! routine local_flush replaced by FORTRAN statement
	64	!
[1710]	65	! 1709 2015-11-04 14:47:01Z maronga
	66	! Set initial time step to 10 s to avoid instability of the 1d model for small
	67	! grid spacings
	68	!
[1698]	69	! 1697 2015-10-28 17:14:10Z raasch
	70	! small E- and F-FORMAT changes to avoid informative compiler messages about
	71	! insufficient field width
	72	!
[1692]	73	! 1691 2015-10-26 16:17:44Z maronga
	74	! Renamed prandtl_layer to constant_flux_layer. rif is replaced by ol and zeta.
	75	!
[1683]	76	! 1682 2015-10-07 23:56:08Z knoop
	77	! Code annotations made doxygen readable
	78	!
[1354]	79	! 1353 2014-04-08 15:21:23Z heinze
	80	! REAL constants provided with KIND-attribute
	81	!
[1347]	82	! 1346 2014-03-27 13:18:20Z heinze
	83	! Bugfix: REAL constants provided with KIND-attribute especially in call of
	84	! intrinsic function like MAX, MIN, SIGN
	85	!
[1323]	86	! 1322 2014-03-20 16:38:49Z raasch
	87	! REAL functions provided with KIND-attribute
	88	!
[1321]	89	! 1320 2014-03-20 08:40:49Z raasch
[1320]	90	! ONLY-attribute added to USE-statements,
	91	! kind-parameters added to all INTEGER and REAL declaration statements,
	92	! kinds are defined in new module kinds,
	93	! revision history before 2012 removed,
	94	! comment fields (!:) to be used for variable explanations added to
	95	! all variable declaration statements
[1321]	96	!
[1037]	97	! 1036 2012-10-22 13:43:42Z raasch
	98	! code put under GPL (PALM 3.9)
	99	!
[1017]	100	! 1015 2012-09-27 09:23:24Z raasch
	101	! adjustment of mixing length to the Prandtl mixing length at first grid point
	102	! above ground removed
	103	!
[1002]	104	! 1001 2012-09-13 14:08:46Z raasch
	105	! all actions concerning leapfrog scheme removed
	106	!
[997]	107	! 996 2012-09-07 10:41:47Z raasch
	108	! little reformatting
	109	!
[979]	110	! 978 2012-08-09 08:28:32Z fricke
	111	! roughness length for scalar quantities z0h1d added
	112	!
[1]	113	! Revision 1.1 1998/03/09 16:22:10 raasch
	114	! Initial revision
	115	!
	116	!
	117	! Description:
	118	! ------------
[1682]	119	!> 1D-model to initialize the 3D-arrays.
	120	!> The temperature profile is set as steady and a corresponding steady solution
	121	!> of the wind profile is being computed.
	122	!> All subroutines required can be found within this file.
[1691]	123	!>
	124	!> @todo harmonize code with new surface_layer_fluxes module
[1709]	125	!> @bug 1D model crashes when using small grid spacings in the order of 1 m
[1]	126	!------------------------------------------------------------------------------!
[2338]	127	MODULE model_1d_mod
[1]	128
[1320]	129	USE arrays_3d, &
[2338]	130	ONLY: dd2zu, ddzu, ddzw, dzu, l_grid, pt_init, q_init, ug, u_init, &
	131	vg, v_init, zu
[1320]	132
[2338]	133	USE control_parameters, &
	134	ONLY: constant_diffusion, constant_flux_layer, dissipation_1d, f, g, &
	135	humidity, ibc_e_b, intermediate_timestep_count, &
	136	intermediate_timestep_count_max, kappa, km_constant, &
	137	message_string, mixing_length_1d, prandtl_number, &
[2696]	138	roughness_length, run_description_header, simulated_time_chr, &
	139	timestep_scheme, tsc, z0h_factor
[2338]	140
[1320]	141	USE indices, &
[2338]	142	ONLY: nzb, nzb_diff, nzt
[1320]	143
	144	USE kinds
[1]	145
[2338]	146	USE pegrid
	147
	148
[1]	149	IMPLICIT NONE
	150
[2338]	151	INTEGER(iwp) :: current_timestep_number_1d = 0 !< current timestep number (1d-model)
[2696]	152	INTEGER(iwp) :: damp_level_ind_1d !< lower grid index of damping layer (1d-model)
[2338]	153
	154	LOGICAL :: run_control_header_1d = .FALSE. !< flag for output of run control header (1d-model)
	155	LOGICAL :: stop_dt_1d = .FALSE. !< termination flag, used in case of too small timestep (1d-model)
	156
[2696]	157	REAL(wp) :: c_1 = 1.44_wp !< model constant
	158	REAL(wp) :: c_2 = 1.92_wp !< model constant
	159	REAL(wp) :: c_3 = 1.44_wp !< model constant
	160	REAL(wp) :: c_h = 0.0015_wp !< model constant according to Detering and Etling (1985)
[2338]	161	REAL(wp) :: c_m = 0.4_wp !< model constant, 0.4 according to Detering and Etling (1985)
[2696]	162	REAL(wp) :: c_mu = 0.09_wp !< model constant
	163	REAL(wp) :: damp_level_1d = -1.0_wp !< namelist parameter
[2338]	164	REAL(wp) :: dt_1d = 60.0_wp !< dynamic timestep (1d-model)
	165	REAL(wp) :: dt_max_1d = 300.0_wp !< timestep limit (1d-model)
[2696]	166	REAL(wp) :: dt_pr_1d = 9999999.9_wp !< namelist parameter
	167	REAL(wp) :: dt_run_control_1d = 60.0_wp !< namelist parameter
	168	REAL(wp) :: end_time_1d = 864000.0_wp !< namelist parameter
[2338]	169	REAL(wp) :: qs1d !< characteristic humidity scale (1d-model)
	170	REAL(wp) :: simulated_time_1d = 0.0_wp !< updated simulated time (1d-model)
[2696]	171	REAL(wp) :: sig_diss = 1.3_wp !< model constant
[2338]	172	REAL(wp) :: time_pr_1d = 0.0_wp !< updated simulated time for profile output (1d-model)
	173	REAL(wp) :: time_run_control_1d = 0.0_wp !< updated simulated time for run-control output (1d-model)
	174	REAL(wp) :: ts1d !< characteristic temperature scale (1d-model)
[2696]	175	REAL(wp) :: us1d !< friction velocity (1d-model)
	176	REAL(wp) :: usws1d !< u-component of the momentum flux (1d-model)
	177	REAL(wp) :: vsws1d !< v-component of the momentum flux (1d-model)
[2338]	178	REAL(wp) :: z01d !< roughness length for momentum (1d-model)
	179	REAL(wp) :: z0h1d !< roughness length for scalars (1d-model)
	180
	181
[2696]	182	REAL(wp), DIMENSION(:), ALLOCATABLE :: diss1d !< tke dissipation rate (1d-model)
	183	REAL(wp), DIMENSION(:), ALLOCATABLE :: diss1d_p !< prognostic value of tke dissipation rate (1d-model)
	184	REAL(wp), DIMENSION(:), ALLOCATABLE :: e1d !< tke (1d-model)
[2338]	185	REAL(wp), DIMENSION(:), ALLOCATABLE :: e1d_p !< prognostic value of tke (1d-model)
[2696]	186	REAL(wp), DIMENSION(:), ALLOCATABLE :: kh1d !< turbulent diffusion coefficient for heat (1d-model)
	187	REAL(wp), DIMENSION(:), ALLOCATABLE :: km1d !< turbulent diffusion coefficient for momentum (1d-model)
[2338]	188	REAL(wp), DIMENSION(:), ALLOCATABLE :: l_black !< mixing length Blackadar (1d-model)
[2696]	189	REAL(wp), DIMENSION(:), ALLOCATABLE :: l1d !< mixing length for turbulent diffusion coefficients (1d-model)
[2338]	190	REAL(wp), DIMENSION(:), ALLOCATABLE :: l1d_diss !< mixing length for dissipation (1d-model)
[2696]	191	REAL(wp), DIMENSION(:), ALLOCATABLE :: rif1d !< Richardson flux number (1d-model)
	192	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_diss !< tendency of diss (1d-model)
	193	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_dissm !< weighted tendency of diss for previous sub-timestep (1d-model)
[2338]	194	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_e !< tendency of e (1d-model)
	195	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_em !< weighted tendency of e for previous sub-timestep (1d-model)
	196	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_u !< tendency of u (1d-model)
	197	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_um !< weighted tendency of u for previous sub-timestep (1d-model)
	198	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_v !< tendency of v (1d-model)
	199	REAL(wp), DIMENSION(:), ALLOCATABLE :: te_vm !< weighted tendency of v for previous sub-timestep (1d-model)
[2696]	200	REAL(wp), DIMENSION(:), ALLOCATABLE :: u1d !< u-velocity component (1d-model)
[2338]	201	REAL(wp), DIMENSION(:), ALLOCATABLE :: u1d_p !< prognostic value of u-velocity component (1d-model)
[2696]	202	REAL(wp), DIMENSION(:), ALLOCATABLE :: v1d !< v-velocity component (1d-model)
[2338]	203	REAL(wp), DIMENSION(:), ALLOCATABLE :: v1d_p !< prognostic value of v-velocity component (1d-model)
	204
	205	!
	206	!-- Initialize 1D model
	207	INTERFACE init_1d_model
	208	MODULE PROCEDURE init_1d_model
	209	END INTERFACE init_1d_model
	210
	211	!
	212	!-- Print profiles
	213	INTERFACE print_1d_model
	214	MODULE PROCEDURE print_1d_model
	215	END INTERFACE print_1d_model
	216
	217	!
	218	!-- Print run control information
	219	INTERFACE run_control_1d
	220	MODULE PROCEDURE run_control_1d
	221	END INTERFACE run_control_1d
	222
	223	!
	224	!-- Main procedure
	225	INTERFACE time_integration_1d
	226	MODULE PROCEDURE time_integration_1d
	227	END INTERFACE time_integration_1d
	228
	229	!
	230	!-- Calculate time step
	231	INTERFACE timestep_1d
	232	MODULE PROCEDURE timestep_1d
	233	END INTERFACE timestep_1d
	234
	235	SAVE
	236
	237	PRIVATE
	238	!
	239	!-- Public interfaces
	240	PUBLIC init_1d_model
	241
	242	!
	243	!-- Public variables
[2696]	244	PUBLIC damp_level_1d, damp_level_ind_1d, diss1d, dt_pr_1d, &
	245	dt_run_control_1d, e1d, end_time_1d, kh1d, km1d, l1d, rif1d, u1d, &
	246	us1d, usws1d, v1d, vsws1d
[2338]	247
	248
	249	CONTAINS
	250
	251	SUBROUTINE init_1d_model
	252
	253	IMPLICIT NONE
	254
[2696]	255	CHARACTER (LEN=9) :: time_to_string !< function to transform time from real to character string
	256
	257	INTEGER(iwp) :: k !< loop index
[1320]	258
[2696]	259	REAL(wp) :: lambda !< maximum mixing length
[1]	260
	261	!
	262	!-- Allocate required 1D-arrays
[2696]	263	ALLOCATE( diss1d(nzb:nzt+1), diss1d_p(nzb:nzt+1), &
	264	e1d(nzb:nzt+1), e1d_p(nzb:nzt+1), kh1d(nzb:nzt+1), &
[2338]	265	km1d(nzb:nzt+1), l_black(nzb:nzt+1), l1d(nzb:nzt+1), &
[2696]	266	l1d_diss(nzb:nzt+1), rif1d(nzb:nzt+1), te_diss(nzb:nzt+1), &
	267	te_dissm(nzb:nzt+1), te_e(nzb:nzt+1), &
[2338]	268	te_em(nzb:nzt+1), te_u(nzb:nzt+1), te_um(nzb:nzt+1), &
	269	te_v(nzb:nzt+1), te_vm(nzb:nzt+1), u1d(nzb:nzt+1), &
	270	u1d_p(nzb:nzt+1), v1d(nzb:nzt+1), v1d_p(nzb:nzt+1) )
[1]	271
	272	!
	273	!-- Initialize arrays
	274	IF ( constant_diffusion ) THEN
[1001]	275	km1d = km_constant
	276	kh1d = km_constant / prandtl_number
[1]	277	ELSE
[2696]	278	diss1d = 0.0_wp; diss1d_p = 0.0_wp
[1353]	279	e1d = 0.0_wp; e1d_p = 0.0_wp
	280	kh1d = 0.0_wp; km1d = 0.0_wp
	281	rif1d = 0.0_wp
[1]	282	!
	283	!-- Compute the mixing length
[1353]	284	l_black(nzb) = 0.0_wp
[1]	285
	286	IF ( TRIM( mixing_length_1d ) == 'blackadar' ) THEN
	287	!
	288	!-- Blackadar mixing length
[1353]	289	IF ( f /= 0.0_wp ) THEN
	290	lambda = 2.7E-4_wp * SQRT( ug(nzt+1)2 + vg(nzt+1)2 ) / &
	291	ABS( f ) + 1E-10_wp
[1]	292	ELSE
[1353]	293	lambda = 30.0_wp
[1]	294	ENDIF
	295
	296	DO k = nzb+1, nzt+1
[1353]	297	l_black(k) = kappa * zu(k) / ( 1.0_wp + kappa * zu(k) / lambda )
[1]	298	ENDDO
	299
	300	ELSEIF ( TRIM( mixing_length_1d ) == 'as_in_3d_model' ) THEN
	301	!
	302	!-- Use the same mixing length as in 3D model
	303	l_black(1:nzt) = l_grid
	304	l_black(nzt+1) = l_black(nzt)
	305
	306	ENDIF
	307	ENDIF
[2337]	308	l1d = l_black
	309	l1d_diss = l_black
	310	u1d = u_init
	311	u1d_p = u_init
	312	v1d = v_init
	313	v1d_p = v_init
[1]	314
	315	!
	316	!-- Set initial horizontal velocities at the lowest grid levels to a very small
	317	!-- value in order to avoid too small time steps caused by the diffusion limit
	318	!-- in the initial phase of a run (at k=1, dz/2 occurs in the limiting formula!)
[1353]	319	u1d(0:1) = 0.1_wp
	320	u1d_p(0:1) = 0.1_wp
	321	v1d(0:1) = 0.1_wp
	322	v1d_p(0:1) = 0.1_wp
[1]	323
	324	!
	325	!-- For u, theta and the momentum fluxes plausible values are set
[1691]	326	IF ( constant_flux_layer ) THEN
[1353]	327	us1d = 0.1_wp ! without initial friction the flow would not change
[1]	328	ELSE
[2696]	329	diss1d(nzb+1) = 1.0_wp
[1353]	330	e1d(nzb+1) = 1.0_wp
	331	km1d(nzb+1) = 1.0_wp
	332	us1d = 0.0_wp
[1]	333	ENDIF
[1353]	334	ts1d = 0.0_wp
	335	usws1d = 0.0_wp
	336	vsws1d = 0.0_wp
[996]	337	z01d = roughness_length
[978]	338	z0h1d = z0h_factor * z01d
[1960]	339	IF ( humidity ) qs1d = 0.0_wp
[1]	340
	341	!
[46]	342	!-- Tendencies must be preset in order to avoid runtime errors within the
	343	!-- first Runge-Kutta step
[2696]	344	te_dissm = 0.0_wp
[1353]	345	te_em = 0.0_wp
	346	te_um = 0.0_wp
	347	te_vm = 0.0_wp
[46]	348
	349	!
[2338]	350	!-- Set model constant
	351	IF ( dissipation_1d == 'as_in_3d_model' ) c_m = 0.1_wp
	352
	353	!
[1]	354	!-- Set start time in hh:mm:ss - format
	355	simulated_time_chr = time_to_string( simulated_time_1d )
	356
	357	!
[2337]	358	!-- Integrate the 1D-model equations using the Runge-Kutta scheme
[1]	359	CALL time_integration_1d
	360
	361
	362	END SUBROUTINE init_1d_model
	363
	364
	365
	366	!------------------------------------------------------------------------------!
	367	! Description:
	368	! ------------
[2338]	369	!> Runge-Kutta time differencing scheme for the 1D-model.
[1]	370	!------------------------------------------------------------------------------!
[1682]	371
	372	SUBROUTINE time_integration_1d
[1]	373
	374	IMPLICIT NONE
	375
[2696]	376	CHARACTER (LEN=9) :: time_to_string !< function to transform time from real to character string
	377
[2338]	378	INTEGER(iwp) :: k !< loop index
[2696]	379
[2338]	380	REAL(wp) :: a !< auxiliary variable
	381	REAL(wp) :: b !< auxiliary variable
	382	REAL(wp) :: dpt_dz !< vertical temperature gradient
	383	REAL(wp) :: flux !< vertical temperature gradient
	384	REAL(wp) :: kmzm !< Km(z-dz/2)
	385	REAL(wp) :: kmzp !< Km(z+dz/2)
	386	REAL(wp) :: l_stable !< mixing length for stable case
	387	REAL(wp) :: pt_0 !< reference temperature
	388	REAL(wp) :: uv_total !< horizontal wind speed
[1]	389
	390	!
	391	!-- Determine the time step at the start of a 1D-simulation and
	392	!-- determine and printout quantities used for run control
[2696]	393	dt_1d = 1.0_wp
[1]	394	CALL run_control_1d
	395
	396	!
	397	!-- Start of time loop
	398	DO WHILE ( simulated_time_1d < end_time_1d .AND. .NOT. stop_dt_1d )
	399
	400	!
	401	!-- Depending on the timestep scheme, carry out one or more intermediate
	402	!-- timesteps
	403
	404	intermediate_timestep_count = 0
	405	DO WHILE ( intermediate_timestep_count < &
	406	intermediate_timestep_count_max )
	407
	408	intermediate_timestep_count = intermediate_timestep_count + 1
	409
	410	CALL timestep_scheme_steering
	411
	412	!
[2696]	413	!-- Compute all tendency terms. If a constant-flux layer is simulated,
	414	!-- k starts at nzb+2.
[1]	415	DO k = nzb_diff, nzt
	416
[1353]	417	kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) )
	418	kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) )
[1]	419	!
	420	!-- u-component
	421	te_u(k) = f * ( v1d(k) - vg(k) ) + ( &
[1001]	422	kmzp * ( u1d(k+1) - u1d(k) ) * ddzu(k+1) &
	423	- kmzm * ( u1d(k) - u1d(k-1) ) * ddzu(k) &
	424	) * ddzw(k)
[1]	425	!
	426	!-- v-component
[1001]	427	te_v(k) = -f * ( u1d(k) - ug(k) ) + ( &
	428	kmzp * ( v1d(k+1) - v1d(k) ) * ddzu(k+1) &
	429	- kmzm * ( v1d(k) - v1d(k-1) ) * ddzu(k) &
	430	) * ddzw(k)
[1]	431	ENDDO
	432	IF ( .NOT. constant_diffusion ) THEN
	433	DO k = nzb_diff, nzt
	434	!
[2696]	435	!-- TKE and dissipation rate
[1353]	436	kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) )
	437	kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) )
[75]	438	IF ( .NOT. humidity ) THEN
[1]	439	pt_0 = pt_init(k)
	440	flux = ( pt_init(k+1)-pt_init(k-1) ) * dd2zu(k)
	441	ELSE
[1353]	442	pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) )
	443	flux = ( ( pt_init(k+1) - pt_init(k-1) ) + &
[2337]	444	0.61_wp * ( pt_init(k+1) * q_init(k+1) - &
	445	pt_init(k-1) * q_init(k-1) ) &
	446	) * dd2zu(k)
[1]	447	ENDIF
	448
[2696]	449	!
	450	!-- Calculate dissipation rate if no prognostic equation is used for
	451	!-- dissipation rate
[1]	452	IF ( dissipation_1d == 'detering' ) THEN
[2696]	453	diss1d(k) = c_m*3 e1d(k) * SQRT( e1d(k) ) / l1d_diss(k)
[1]	454	ELSEIF ( dissipation_1d == 'as_in_3d_model' ) THEN
[2696]	455	diss1d(k) = ( 0.19_wp + 0.74_wp * l1d_diss(k) / l_grid(k) &
	456	) * e1d(k) * SQRT( e1d(k) ) / l1d_diss(k)
[1]	457	ENDIF
[2696]	458	!
	459	!-- TKE
[1]	460	te_e(k) = km1d(k) * ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2&
	461	+ ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2&
	462	) &
	463	- g / pt_0 * kh1d(k) * flux &
	464	+ ( &
[1001]	465	kmzp * ( e1d(k+1) - e1d(k) ) * ddzu(k+1) &
	466	- kmzm * ( e1d(k) - e1d(k-1) ) * ddzu(k) &
[1]	467	) * ddzw(k) &
[2696]	468	- diss1d(k)
	469
	470	IF ( dissipation_1d == 'prognostic' ) THEN
	471	!
	472	!-- dissipation rate
	473	te_diss(k) = km1d(k) * &
	474	( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 &
	475	+ ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 &
	476	) * c_1 * c_mu*0.75 / c_h f / us1d &
	477	* SQRT(e1d(k)) &
	478	- g / pt_0 * kh1d(k) * flux * c_3 &
	479	* diss1d(k) / ( e1d(k) + 1.0E-20_wp ) &
	480	+ ( kmzp * ( diss1d(k+1) - diss1d(k) ) &
	481	* ddzu(k+1) &
	482	- kmzm * ( diss1d(k) - diss1d(k-1) ) &
	483	* ddzu(k) &
	484	) * ddzw(k) / sig_diss &
	485	- c_2 * diss1d(k)**2 / ( e1d(k) + 1.0E-20_wp )
	486
	487	ENDIF
	488
[1]	489	ENDDO
	490	ENDIF
	491
	492	!
[2696]	493	!-- Tendency terms at the top of the constant-flux layer.
[1]	494	!-- Finite differences of the momentum fluxes are computed using half the
	495	!-- normal grid length (2.0*ddzw(k)) for the sake of enhanced accuracy
[1691]	496	IF ( constant_flux_layer ) THEN
[1]	497
	498	k = nzb+1
[1353]	499	kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) )
	500	kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) )
[75]	501	IF ( .NOT. humidity ) THEN
[1]	502	pt_0 = pt_init(k)
	503	flux = ( pt_init(k+1)-pt_init(k-1) ) * dd2zu(k)
	504	ELSE
[1353]	505	pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) )
	506	flux = ( ( pt_init(k+1) - pt_init(k-1) ) + &
[2337]	507	0.61_wp * ( pt_init(k+1) * q_init(k+1) - &
	508	pt_init(k-1) * q_init(k-1) ) &
[1]	509	) * dd2zu(k)
	510	ENDIF
	511
[2696]	512	!
	513	!-- Calculate dissipation rate if no prognostic equation is used for
	514	!-- dissipation rate
[1]	515	IF ( dissipation_1d == 'detering' ) THEN
[2696]	516	diss1d(k) = c_m*3 e1d(k) * SQRT( e1d(k) ) / l1d_diss(k)
[1]	517	ELSEIF ( dissipation_1d == 'as_in_3d_model' ) THEN
[2696]	518	diss1d(k) = ( 0.19_wp + 0.74_wp * l1d_diss(k) / l_grid(k) ) &
	519	* e1d(k) * SQRT( e1d(k) ) / l1d_diss(k)
[1]	520	ENDIF
	521
	522	!
	523	!-- u-component
[1001]	524	te_u(k) = f * ( v1d(k) - vg(k) ) + ( &
	525	kmzp * ( u1d(k+1) - u1d(k) ) * ddzu(k+1) + usws1d &
[1353]	526	) * 2.0_wp * ddzw(k)
[1]	527	!
	528	!-- v-component
[1001]	529	te_v(k) = -f * ( u1d(k) - ug(k) ) + ( &
	530	kmzp * ( v1d(k+1) - v1d(k) ) * ddzu(k+1) + vsws1d &
[1353]	531	) * 2.0_wp * ddzw(k)
[1]	532	!
	533	!-- TKE
[2696]	534	IF ( .NOT. dissipation_1d == 'prognostic' ) THEN
	535	te_e(k) = km1d(k) * ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2&
	536	+ ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2&
	537	) &
	538	- g / pt_0 * kh1d(k) * flux &
	539	+ ( &
	540	kmzp * ( e1d(k+1) - e1d(k) ) * ddzu(k+1) &
	541	- kmzm * ( e1d(k) - e1d(k-1) ) * ddzu(k) &
	542	) * ddzw(k) &
	543	- diss1d(k)
	544	ENDIF
	545
[1]	546	ENDIF
	547
	548	!
	549	!-- Prognostic equations for all 1D variables
	550	DO k = nzb+1, nzt
	551
[1001]	552	u1d_p(k) = u1d(k) + dt_1d * ( tsc(2) * te_u(k) + &
	553	tsc(3) * te_um(k) )
	554	v1d_p(k) = v1d(k) + dt_1d * ( tsc(2) * te_v(k) + &
	555	tsc(3) * te_vm(k) )
[1]	556
	557	ENDDO
	558	IF ( .NOT. constant_diffusion ) THEN
[2696]	559
[1]	560	DO k = nzb+1, nzt
[1001]	561	e1d_p(k) = e1d(k) + dt_1d * ( tsc(2) * te_e(k) + &
	562	tsc(3) * te_em(k) )
[2696]	563	ENDDO
[1]	564
[2696]	565	IF ( dissipation_1d == 'prognostic' ) THEN
	566	DO k = nzb_diff, nzt
	567	diss1d_p(k) = diss1d(k) + dt_1d * ( tsc(2) * te_diss(k) + &
	568	tsc(3) * te_dissm(k) )
	569	ENDDO
	570	ENDIF
[1]	571	!
	572	!-- Eliminate negative TKE values, which can result from the
	573	!-- integration due to numerical inaccuracies. In such cases the TKE
	574	!-- value is reduced to 10 percent of its old value.
[1353]	575	WHERE ( e1d_p < 0.0_wp ) e1d_p = 0.1_wp * e1d
[1]	576	ENDIF
	577
	578	!
	579	!-- Calculate tendencies for the next Runge-Kutta step
	580	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	581	IF ( intermediate_timestep_count == 1 ) THEN
	582
	583	DO k = nzb+1, nzt
	584	te_um(k) = te_u(k)
	585	te_vm(k) = te_v(k)
	586	ENDDO
	587
	588	IF ( .NOT. constant_diffusion ) THEN
	589	DO k = nzb+1, nzt
	590	te_em(k) = te_e(k)
	591	ENDDO
[2696]	592	IF ( dissipation_1d == 'prognostic' ) THEN
	593	DO k = nzb+1, nzt
	594	te_dissm(k) = te_diss(k)
	595	ENDDO
	596	ENDIF
[1]	597	ENDIF
	598
	599	ELSEIF ( intermediate_timestep_count < &
	600	intermediate_timestep_count_max ) THEN
	601
	602	DO k = nzb+1, nzt
[1353]	603	te_um(k) = -9.5625_wp * te_u(k) + 5.3125_wp * te_um(k)
	604	te_vm(k) = -9.5625_wp * te_v(k) + 5.3125_wp * te_vm(k)
[1]	605	ENDDO
	606
	607	IF ( .NOT. constant_diffusion ) THEN
	608	DO k = nzb+1, nzt
[1353]	609	te_em(k) = -9.5625_wp * te_e(k) + 5.3125_wp * te_em(k)
[1]	610	ENDDO
[2696]	611	IF ( dissipation_1d == 'prognostic' ) THEN
	612	DO k = nzb+1, nzt
	613	te_dissm(k) = -9.5625_wp * te_diss(k) + 5.3125_wp * te_dissm(k)
	614	ENDDO
	615	ENDIF
[1]	616	ENDIF
	617
	618	ENDIF
	619	ENDIF
	620
	621
	622	!
	623	!-- Boundary conditions for the prognostic variables.
[2696]	624	!-- At the top boundary (nzt+1) u, v, e, and diss keep their initial
	625	!-- values (ug(nzt+1), vg(nzt+1), 0, 0).
[2334]	626	!-- At the bottom boundary, Dirichlet condition is used for u and v (0)
[2696]	627	!-- and Neumann condition for e and diss (e(nzb)=e(nzb+1)).
[1353]	628	u1d_p(nzb) = 0.0_wp
	629	v1d_p(nzb) = 0.0_wp
[667]	630
[1]	631	!
	632	!-- Swap the time levels in preparation for the next time step.
	633	u1d = u1d_p
	634	v1d = v1d_p
	635	IF ( .NOT. constant_diffusion ) THEN
	636	e1d = e1d_p
[2696]	637	IF ( dissipation_1d == 'prognostic' ) THEN
	638	diss1d = diss1d_p
	639	ENDIF
[1]	640	ENDIF
	641
	642	!
	643	!-- Compute diffusion quantities
	644	IF ( .NOT. constant_diffusion ) THEN
	645
	646	!
[2696]	647	!-- First compute the vertical fluxes in the constant-flux layer
[1691]	648	IF ( constant_flux_layer ) THEN
[1]	649	!
	650	!-- Compute theta* using Rif numbers of the previous time step
[2334]	651	IF ( rif1d(nzb+1) >= 0.0_wp ) THEN
[1]	652	!
	653	!-- Stable stratification
[1353]	654	ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / &
	655	( LOG( zu(nzb+1) / z0h1d ) + 5.0_wp * rif1d(nzb+1) * &
	656	( zu(nzb+1) - z0h1d ) / zu(nzb+1) &
[1]	657	)
	658	ELSE
	659	!
	660	!-- Unstable stratification
[1353]	661	a = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) )
	662	b = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / &
	663	zu(nzb+1) * z0h1d )
[2337]	664
	665	ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / &
	666	LOG( (a-1.0_wp) / (a+1.0_wp) * &
	667	(b+1.0_wp) / (b-1.0_wp) )
[1]	668	ENDIF
	669
[1691]	670	ENDIF ! constant_flux_layer
[1]	671
	672	!
	673	!-- Compute the Richardson-flux numbers,
[2696]	674	!-- first at the top of the constant-flux layer using u* of the
	675	!-- previous time step (+1E-30, if u* = 0), then in the remaining area.
	676	!-- There the rif-numbers of the previous time step are used.
[1]	677
[1691]	678	IF ( constant_flux_layer ) THEN
[75]	679	IF ( .NOT. humidity ) THEN
[1]	680	pt_0 = pt_init(nzb+1)
	681	flux = ts1d
	682	ELSE
[1353]	683	pt_0 = pt_init(nzb+1) * ( 1.0_wp + 0.61_wp * q_init(nzb+1) )
	684	flux = ts1d + 0.61_wp * pt_init(k) * qs1d
[1]	685	ENDIF
	686	rif1d(nzb+1) = zu(nzb+1) * kappa * g * flux / &
[1353]	687	( pt_0 * ( us1d**2 + 1E-30_wp ) )
[1]	688	ENDIF
	689
	690	DO k = nzb_diff, nzt
[75]	691	IF ( .NOT. humidity ) THEN
[1]	692	pt_0 = pt_init(k)
	693	flux = ( pt_init(k+1) - pt_init(k-1) ) * dd2zu(k)
	694	ELSE
[1353]	695	pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) )
[1]	696	flux = ( ( pt_init(k+1) - pt_init(k-1) ) &
[2337]	697	+ 0.61_wp &
	698	* ( pt_init(k+1) * q_init(k+1) &
	699	- pt_init(k-1) * q_init(k-1) ) &
[1]	700	) * dd2zu(k)
	701	ENDIF
[1353]	702	IF ( rif1d(k) >= 0.0_wp ) THEN
	703	rif1d(k) = g / pt_0 * flux / &
	704	( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 &
	705	+ ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 &
	706	+ 1E-30_wp &
[1]	707	)
	708	ELSE
[1353]	709	rif1d(k) = g / pt_0 * flux / &
	710	( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 &
	711	+ ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 &
	712	+ 1E-30_wp &
	713	) * ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp
[1]	714	ENDIF
	715	ENDDO
	716	!
	717	!-- Richardson-numbers must remain restricted to a realistic value
	718	!-- range. It is exceeded excessively for very small velocities
	719	!-- (u,v --> 0).
[2059]	720	WHERE ( rif1d < -5.0_wp ) rif1d = -5.0_wp
	721	WHERE ( rif1d > 1.0_wp ) rif1d = 1.0_wp
[1]	722
	723	!
	724	!-- Compute u* from the absolute velocity value
[1691]	725	IF ( constant_flux_layer ) THEN
[1]	726	uv_total = SQRT( u1d(nzb+1)2 + v1d(nzb+1)2 )
	727
[1353]	728	IF ( rif1d(nzb+1) >= 0.0_wp ) THEN
[1]	729	!
	730	!-- Stable stratification
	731	us1d = kappa * uv_total / ( &
[1353]	732	LOG( zu(nzb+1) / z01d ) + 5.0_wp * rif1d(nzb+1) * &
[1]	733	( zu(nzb+1) - z01d ) / zu(nzb+1) &
	734	)
	735	ELSE
	736	!
	737	!-- Unstable stratification
[1353]	738	a = 1.0_wp / SQRT( SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) )
	739	b = 1.0_wp / SQRT( SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / &
	740	zu(nzb+1) * z01d ) )
[2337]	741	us1d = kappa * uv_total / ( &
	742	LOG( (1.0_wp+b) / (1.0_wp-b) * (1.0_wp-a) / &
	743	(1.0_wp+a) ) + &
	744	2.0_wp * ( ATAN( b ) - ATAN( a ) ) &
	745	)
[1]	746	ENDIF
	747
	748	!
	749	!-- Compute the momentum fluxes for the diffusion terms
	750	usws1d = - u1d(nzb+1) / uv_total * us1d**2
	751	vsws1d = - v1d(nzb+1) / uv_total * us1d**2
	752
	753	!
[2696]	754	!-- Boundary condition for the turbulent kinetic energy and
	755	!-- dissipation rate at the top of the constant-flux layer.
[1]	756	!-- Additional Neumann condition de/dz = 0 at nzb is set to ensure
	757	!-- compatibility with the 3D model.
	758	IF ( ibc_e_b == 2 ) THEN
[2334]	759	e1d(nzb+1) = ( us1d / c_m )**2
[1]	760	ENDIF
[2696]	761	IF ( dissipation_1d == 'prognostic' ) THEN
	762	e1d(nzb+1) = us1d**2 / SQRT( c_mu )
	763	diss1d(nzb+1) = us1d*3 / ( kappa zu(nzb+1) )
	764	diss1d(nzb) = diss1d(nzb+1)
	765	ENDIF
[1]	766	e1d(nzb) = e1d(nzb+1)
	767
[1960]	768	IF ( humidity ) THEN
[1]	769	!
	770	!-- Compute q*
[2334]	771	IF ( rif1d(nzb+1) >= 0.0_wp ) THEN
[1]	772	!
[1960]	773	!-- Stable stratification
	774	qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / &
[1353]	775	( LOG( zu(nzb+1) / z0h1d ) + 5.0_wp * rif1d(nzb+1) * &
	776	( zu(nzb+1) - z0h1d ) / zu(nzb+1) &
[1]	777	)
[1960]	778	ELSE
[1]	779	!
[1960]	780	!-- Unstable stratification
	781	a = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) )
	782	b = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / &
	783	zu(nzb+1) * z0h1d )
[2337]	784	qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / &
	785	LOG( (a-1.0_wp) / (a+1.0_wp) * &
	786	(b+1.0_wp) / (b-1.0_wp) )
	787	ENDIF
[1]	788	ELSE
[1353]	789	qs1d = 0.0_wp
[2337]	790	ENDIF
[1]	791
[1691]	792	ENDIF ! constant_flux_layer
[1]	793
	794	!
[2337]	795	!-- Compute the diabatic mixing length. The unstable stratification
	796	!-- must not be considered for l1d (km1d) as it is already considered
	797	!-- in the dissipation of TKE via l1d_diss. Otherwise, km1d would be
	798	!-- too large.
[1]	799	IF ( mixing_length_1d == 'blackadar' ) THEN
	800	DO k = nzb+1, nzt
[1353]	801	IF ( rif1d(k) >= 0.0_wp ) THEN
	802	l1d(k) = l_black(k) / ( 1.0_wp + 5.0_wp * rif1d(k) )
[2337]	803	l1d_diss(k) = l1d(k)
[1]	804	ELSE
[2337]	805	l1d(k) = l_black(k)
	806	l1d_diss(k) = l_black(k) * &
	807	SQRT( 1.0_wp - 16.0_wp * rif1d(k) )
[1]	808	ENDIF
	809	ENDDO
	810	ELSEIF ( mixing_length_1d == 'as_in_3d_model' ) THEN
	811	DO k = nzb+1, nzt
	812	dpt_dz = ( pt_init(k+1) - pt_init(k-1) ) * dd2zu(k)
[1353]	813	IF ( dpt_dz > 0.0_wp ) THEN
	814	l_stable = 0.76_wp * SQRT( e1d(k) ) / &
	815	SQRT( g / pt_init(k) * dpt_dz ) + 1E-5_wp
[1]	816	ELSE
	817	l_stable = l_grid(k)
	818	ENDIF
	819	l1d(k) = MIN( l_grid(k), l_stable )
[2337]	820	l1d_diss(k) = l1d(k)
[1]	821	ENDDO
	822	ENDIF
	823
	824	!
	825	!-- Compute the diffusion coefficients for momentum via the
	826	!-- corresponding Prandtl-layer relationship and according to
[2337]	827	!-- Prandtl-Kolmogorov, respectively
[1691]	828	IF ( constant_flux_layer ) THEN
[1353]	829	IF ( rif1d(nzb+1) >= 0.0_wp ) THEN
	830	km1d(nzb+1) = us1d * kappa * zu(nzb+1) / &
	831	( 1.0_wp + 5.0_wp * rif1d(nzb+1) )
[1]	832	ELSE
[1353]	833	km1d(nzb+1) = us1d * kappa * zu(nzb+1) * &
	834	( 1.0_wp - 16.0_wp * rif1d(nzb+1) )**0.25_wp
[1]	835	ENDIF
	836	ENDIF
[2696]	837	IF ( dissipation_1d == 'prognostic' ) THEN
	838	DO k = nzb_diff, nzt
	839	km1d(k) = c_mu * e1d(k)**2 / ( diss1d(k) + 1.0E-30_wp )
	840	ENDDO
	841	ELSE
	842	DO k = nzb_diff, nzt
	843	km1d(k) = c_m * SQRT( e1d(k) ) * l1d(k)
	844	ENDDO
	845	ENDIF
[1]	846
	847	!
	848	!-- Add damping layer
	849	DO k = damp_level_ind_1d+1, nzt+1
[1353]	850	km1d(k) = 1.1_wp * km1d(k-1)
[1346]	851	km1d(k) = MIN( km1d(k), 10.0_wp )
[1]	852	ENDDO
	853
	854	!
	855	!-- Compute the diffusion coefficient for heat via the relationship
	856	!-- kh = phim / phih * km
	857	DO k = nzb+1, nzt
[1353]	858	IF ( rif1d(k) >= 0.0_wp ) THEN
[1]	859	kh1d(k) = km1d(k)
	860	ELSE
[1353]	861	kh1d(k) = km1d(k) * ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp
[1]	862	ENDIF
	863	ENDDO
	864
	865	ENDIF ! .NOT. constant_diffusion
	866
	867	ENDDO ! intermediate step loop
	868
	869	!
	870	!-- Increment simulated time and output times
	871	current_timestep_number_1d = current_timestep_number_1d + 1
	872	simulated_time_1d = simulated_time_1d + dt_1d
	873	simulated_time_chr = time_to_string( simulated_time_1d )
	874	time_pr_1d = time_pr_1d + dt_1d
	875	time_run_control_1d = time_run_control_1d + dt_1d
	876
	877	!
	878	!-- Determine and print out quantities for run control
	879	IF ( time_run_control_1d >= dt_run_control_1d ) THEN
	880	CALL run_control_1d
	881	time_run_control_1d = time_run_control_1d - dt_run_control_1d
	882	ENDIF
	883
	884	!
	885	!-- Profile output on file
	886	IF ( time_pr_1d >= dt_pr_1d ) THEN
	887	CALL print_1d_model
	888	time_pr_1d = time_pr_1d - dt_pr_1d
	889	ENDIF
	890
	891	!
	892	!-- Determine size of next time step
	893	CALL timestep_1d
	894
	895	ENDDO ! time loop
	896
	897
	898	END SUBROUTINE time_integration_1d
	899
	900
	901	!------------------------------------------------------------------------------!
	902	! Description:
	903	! ------------
[1682]	904	!> Compute and print out quantities for run control of the 1D model.
[1]	905	!------------------------------------------------------------------------------!
[1682]	906
	907	SUBROUTINE run_control_1d
[1]	908
[1682]	909
[1320]	910	USE constants, &
	911	ONLY: pi
[1]	912
	913	IMPLICIT NONE
	914
[2338]	915	INTEGER(iwp) :: k !< loop index
[1320]	916
[2338]	917	REAL(wp) :: alpha !< angle of wind vector at top of constant-flux layer
	918	REAL(wp) :: energy !< kinetic energy
	919	REAL(wp) :: umax !< maximum of u
	920	REAL(wp) :: uv_total !< horizontal wind speed
	921	REAL(wp) :: vmax !< maximum of v
[1]	922
	923	!
	924	!-- Output
	925	IF ( myid == 0 ) THEN
	926	!
	927	!-- If necessary, write header
	928	IF ( .NOT. run_control_header_1d ) THEN
[184]	929	CALL check_open( 15 )
[1]	930	WRITE ( 15, 100 )
	931	run_control_header_1d = .TRUE.
	932	ENDIF
	933
	934	!
	935	!-- Compute control quantities
	936	!-- grid level nzp is excluded due to mirror boundary condition
[1353]	937	umax = 0.0_wp; vmax = 0.0_wp; energy = 0.0_wp
[1]	938	DO k = nzb+1, nzt+1
	939	umax = MAX( ABS( umax ), ABS( u1d(k) ) )
	940	vmax = MAX( ABS( vmax ), ABS( v1d(k) ) )
[1353]	941	energy = energy + 0.5_wp * ( u1d(k)2 + v1d(k)2 )
[1]	942	ENDDO
[1322]	943	energy = energy / REAL( nzt - nzb + 1, KIND=wp )
[1]	944
	945	uv_total = SQRT( u1d(nzb+1)2 + v1d(nzb+1)2 )
[1691]	946	IF ( ABS( v1d(nzb+1) ) < 1.0E-5_wp ) THEN
[1346]	947	alpha = ACOS( SIGN( 1.0_wp , u1d(nzb+1) ) )
[1]	948	ELSE
	949	alpha = ACOS( u1d(nzb+1) / uv_total )
[1353]	950	IF ( v1d(nzb+1) <= 0.0_wp ) alpha = 2.0_wp * pi - alpha
[1]	951	ENDIF
[1353]	952	alpha = alpha / ( 2.0_wp * pi ) * 360.0_wp
[1]	953
	954	WRITE ( 15, 101 ) current_timestep_number_1d, simulated_time_chr, &
	955	dt_1d, umax, vmax, us1d, alpha, energy
	956	!
	957	!-- Write buffer contents to disc immediately
[1808]	958	FLUSH( 15 )
[1]	959
	960	ENDIF
	961
	962	!
	963	!-- formats
[2299]	964	100 FORMAT (///'1D run control output:'/ &
[1]	965	&'------------------------------'// &
	966	&'ITER. HH:MM:SS DT UMAX VMAX U* ALPHA ENERG.'/ &
	967	&'-------------------------------------------------------------')
[1697]	968	101 FORMAT (I5,2X,A9,1X,F6.2,2X,F6.2,1X,F6.2,1X,F6.3,2X,F5.1,2X,F7.2)
[1]	969
	970
	971	END SUBROUTINE run_control_1d
	972
	973
	974
	975	!------------------------------------------------------------------------------!
	976	! Description:
	977	! ------------
[1682]	978	!> Compute the time step w.r.t. the diffusion criterion
[1]	979	!------------------------------------------------------------------------------!
[1682]	980
	981	SUBROUTINE timestep_1d
[1]	982
	983	IMPLICIT NONE
	984
[2338]	985	INTEGER(iwp) :: k !< loop index
[1]	986
[2338]	987	REAL(wp) :: dt_diff !< time step accorind to diffusion criterion
	988	REAL(wp) :: fac !< factor of criterion
	989	REAL(wp) :: value !< auxiliary variable
[1]	990
	991	!
	992	!-- Compute the currently feasible time step according to the diffusion
	993	!-- criterion. At nzb+1 the half grid length is used.
[2696]	994	fac = 0.125 !0.35_wp !### changed from 0.35
[1]	995	dt_diff = dt_max_1d
	996	DO k = nzb+2, nzt
[1353]	997	value = fac * dzu(k) * dzu(k) / ( km1d(k) + 1E-20_wp )
[1]	998	dt_diff = MIN( value, dt_diff )
	999	ENDDO
[1353]	1000	value = fac * zu(nzb+1) * zu(nzb+1) / ( km1d(nzb+1) + 1E-20_wp )
[1]	1001	dt_1d = MIN( value, dt_diff )
	1002
	1003	!
	1004	!-- Set flag when the time step becomes too small
[1353]	1005	IF ( dt_1d < ( 0.00001_wp * dt_max_1d ) ) THEN
[1]	1006	stop_dt_1d = .TRUE.
[254]	1007
	1008	WRITE( message_string, * ) 'timestep has exceeded the lower limit &', &
	1009	'dt_1d = ',dt_1d,' s simulation stopped!'
	1010	CALL message( 'timestep_1d', 'PA0192', 1, 2, 0, 6, 0 )
	1011
[1]	1012	ENDIF
	1013
	1014	END SUBROUTINE timestep_1d
	1015
	1016
	1017
	1018	!------------------------------------------------------------------------------!
	1019	! Description:
	1020	! ------------
[1682]	1021	!> List output of profiles from the 1D-model
[1]	1022	!------------------------------------------------------------------------------!
[1682]	1023
	1024	SUBROUTINE print_1d_model
[1]	1025
	1026	IMPLICIT NONE
	1027
[2338]	1028	INTEGER(iwp) :: k !< loop parameter
[1]	1029
[2338]	1030	LOGICAL, SAVE :: write_first = .TRUE. !< flag for writing header
[1]	1031
	1032
	1033	IF ( myid == 0 ) THEN
	1034	!
	1035	!-- Open list output file for profiles from the 1D-model
	1036	CALL check_open( 17 )
	1037
	1038	!
	1039	!-- Write Header
[2338]	1040	IF ( write_first ) THEN
	1041	WRITE ( 17, 100 ) TRIM( run_description_header )
	1042	write_first = .FALSE.
	1043	ENDIF
[1]	1044
	1045	!
	1046	!-- Write the values
[2338]	1047	WRITE ( 17, 104 ) TRIM( simulated_time_chr )
	1048	WRITE ( 17, 101 )
[1]	1049	WRITE ( 17, 102 )
	1050	WRITE ( 17, 101 )
	1051	DO k = nzt+1, nzb, -1
	1052	WRITE ( 17, 103) k, zu(k), u1d(k), v1d(k), pt_init(k), e1d(k), &
[2696]	1053	rif1d(k), km1d(k), kh1d(k), l1d(k), diss1d(k)
[1]	1054	ENDDO
	1055	WRITE ( 17, 101 )
	1056	WRITE ( 17, 102 )
	1057	WRITE ( 17, 101 )
	1058
	1059	!
	1060	!-- Write buffer contents to disc immediately
[1808]	1061	FLUSH( 17 )
[1]	1062
	1063	ENDIF
	1064
	1065	!
	1066	!-- Formats
[2338]	1067	100 FORMAT ('# ',A/'#',10('-')/'# 1d-model profiles')
	1068	104 FORMAT (//'# Time: ',A)
[2696]	1069	101 FORMAT ('#',111('-'))
	1070	102 FORMAT ('# k zu u v pt e ', &
	1071	'rif Km Kh l diss ')
	1072	103 FORMAT (1X,I4,1X,F7.1,9(1X,E10.3))
[1]	1073
	1074
	1075	END SUBROUTINE print_1d_model
[2338]	1076
	1077
	1078	END MODULE

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