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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3262

Last change on this file since 3262 was 3248, checked in by sward, 6 years ago
Minor format changes
Property svn:keywords set to `Id`
File size: 64.5 KB

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[2259]	1	!> @synthetic_turbulence_generator_mod.f90
	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[2259]	4	!
[2696]	5	! PALM is free software: you can redistribute it and/or modify it under the
[2259]	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.
	9	!
[2696]	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
[2259]	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	!
	17	! Copyright 2017 Leibniz Universitaet Hannover
	18	!------------------------------------------------------------------------------!
	19	!
	20	! Current revisions:
	21	! -----------------
	22	!
[3183]	23	!
[2259]	24	! Former revisions:
	25	! -----------------
	26	! $Id: synthetic_turbulence_generator_mod.f90 3248 2018-09-14 09:42:06Z eckhard $
[3248]	27	! Minor formating changes
	28	!
	29	! 3246 2018-09-13 15:14:50Z sward
[3246]	30	! Added error handling for input namelist via parin_fail_message
	31	!
	32	! 3241 2018-09-12 15:02:00Z raasch
[3241]	33	! unused variables removed
	34	!
	35	! 3186 2018-07-30 17:07:14Z suehring
[3186]	36	! Mask topography while imposing inflow perturbations at the boundaries; do not
	37	! impose perturbations at top boundary as well as ghost points
	38	!
	39	! 3183 2018-07-27 14:25:55Z suehring
[3183]	40	! Rename variables and extend error message
	41	! Enable geneartor also for stretched grids
	42	!
	43	! 3182 2018-07-27 13:36:03Z suehring
[3065]	44	! Error message related to vertical stretching has been added, dz was replaced
	45	! by dz(1)
	46	!
	47	! 3051 2018-05-30 17:43:55Z suehring
[3051]	48	! Bugfix in calculation of initial Reynolds-stress tensor.
[3049]	49	!
	50	! 3045 2018-05-28 07:55:41Z Giersch
[3051]	51	! Error messages revised
[3045]	52	!
	53	! 3044 2018-05-25 10:59:41Z gronemeier
[3044]	54	! Add missing variable descriptions
	55	!
	56	! 3038 2018-05-24 10:54:00Z gronemeier
[3038]	57	! updated variable descriptions
	58	!
	59	! 2967 2018-04-13 11:22:08Z raasch
[2967]	60	! bugfix: missing parallel cpp-directives added
[3038]	61	!
[2967]	62	! 2946 2018-04-04 17:01:23Z suehring
[2946]	63	! Remove unused module load
[3038]	64	!
[2946]	65	! 2945 2018-04-04 16:27:14Z suehring
[3038]	66	! - Bugfix in parallelization of synthetic turbulence generator in case the
	67	! z-dimension is not an integral divisor of the number of processors along
[2945]	68	! the x- and y-dimension
[3038]	69	! - Revision in control mimic in case of RAN-LES nesting
	70	!
[2945]	71	! 2938 2018-03-27 15:52:42Z suehring
[3038]	72	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
	73	! realistic Inifor large-scale forcing or RANS-LES nesting
	74	!
[2938]	75	! 2936 2018-03-27 14:49:27Z suehring
[3038]	76	! variable named found has been introduced for checking if restart data was found,
	77	! reading of restart strings has been moved completely to read_restart_data_mod,
	78	! redundant skipping function has been removed, stg_read/write_restart_data
	79	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
[2894]	80	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
[3038]	81	! *** have been removed (Giersch), strings and their respective lengths are
	82	! written out and read now in case of restart runs to get rid of prescribed
	83	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
	84	!
[2894]	85	! 2841 2018-02-27 15:02:57Z suehring
[2841]	86	! Bugfix: wrong placement of include 'mpif.h' corrected
[3038]	87	!
[2841]	88	! 2836 2018-02-26 13:40:05Z Giersch
[3038]	89	! The variables synthetic_turbulence_generator and
[2836]	90	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
	91	! flag is used to define if module related parameters were outputted as restart
[3038]	92	! data
	93	!
[2776]	94	! 2716 2017-12-29 16:35:59Z kanani
[2716]	95	! Corrected "Former revisions" section
[3038]	96	!
[2716]	97	! 2696 2017-12-14 17:12:51Z kanani
	98	! Change in file header (GPL part)
	99	!
	100	! 2669 2017-12-06 16:03:27Z raasch
[2669]	101	! unit number for file containing turbulence generator data changed to 90
	102	! bugfix: preprocessor directives added for MPI specific code
[3038]	103	!
[2669]	104	! 2576 2017-10-24 13:49:46Z Giersch
[3038]	105	! Definition of a new function called stg_skip_global to skip module
[2576]	106	! parameters during reading restart data
[3038]	107	!
[2576]	108	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	109	! stg_read_restart_data is called in stg_parin in the case of a restart run
[3038]	110	!
[2563]	111	! 2259 2017-06-08 09:09:11Z gronemeier
[2259]	112	! Initial revision
	113	!
	114	!
[3038]	115	!
[2259]	116	! Authors:
	117	! --------
	118	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
	119	!
	120	!
	121	! Description:
	122	! ------------
	123	!> The module generates turbulence at the inflow boundary based on a method by
	124	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
	125	!> correction by Kim et al. (2013).
	126	!> The turbulence is correlated based on length scales in y- and z-direction and
	127	!> a time scale for each velocity component. The profiles of length and time
	128	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
	129	!> tensor are read from file STG_PROFILES.
	130	!>
	131	!> @todo test restart
	132	!> enable cyclic_fill
	133	!> implement turbulence generation for e and pt
[2945]	134	!> @todo Input of height-constant length scales via namelist
[2259]	135	!> @note <Enter notes on the module>
	136	!> @bug Height information from input file is not used. Profiles from input
	137	!> must match with current PALM grid.
	138	!> In case of restart, velocity seeds differ from precursor run if a11,
	139	!> a22, or a33 are zero.
	140	!------------------------------------------------------------------------------!
	141	MODULE synthetic_turbulence_generator_mod
	142
	143
	144	USE arrays_3d, &
	145	ONLY: mean_inflow_profiles, u, v, w
	146
	147	USE constants, &
	148	ONLY: pi
	149
	150	USE control_parameters, &
[2938]	151	ONLY: initializing_actions, message_string, syn_turb_gen
[2259]	152
	153	USE cpulog, &
	154	ONLY: cpu_log, log_point, log_point_s
	155
	156	USE indices, &
[2938]	157	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
[2259]	158
	159	USE kinds
	160
[2967]	161	#if defined( __parallel ) && !defined( __mpifh )
[2259]	162	USE MPI
[2841]	163	#endif
[2259]	164
	165	USE pegrid, &
[2938]	166	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
[2259]	167
	168	USE transpose_indices, &
	169	ONLY: nzb_x, nzt_x
	170
	171
	172	IMPLICIT NONE
	173
[2967]	174	#if defined( __parallel ) && defined( __mpifh )
[2841]	175	INCLUDE "mpif.h"
	176	#endif
	177
[3182]	178
[2776]	179	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
	180	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
[2259]	181
[3038]	182	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
	183	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
	184	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
	185	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
[2938]	186	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
	187	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
	188	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
	189	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
	190	INTEGER(iwp) :: merg !< maximum length scale (in gp)
	191	INTEGER(iwp) :: mergp !< merg + nbgp
[3038]	192	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
	193	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
	194	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
	195	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
[2259]	196
	197	REAL(wp) :: mc_factor !< mass flux correction factor
	198
[2938]	199	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
	200	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
	201	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
	202	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
	203	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
	204	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
	205	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
	206	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
	207	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
	208	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
	209	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
	210	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
	211	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
[2259]	212
	213	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
	214
	215	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
	216	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
	217	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
	218	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
	219	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
	220	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
	221	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
	222	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
	223	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
	224
[2938]	225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
[2259]	226	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
	227	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
[2938]	228	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
[2259]	229	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
	230	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
[2938]	231	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
[2259]	232	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
	233	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
[2938]	234	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
	235	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
	236	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
	237	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
	238	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
	239	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
	240	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
	241	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
	242	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
	243	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
	244	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
	245	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
[2259]	246
	247
	248	!
	249	!-- PALM interfaces:
	250	!-- Input parameter checks to be done in check_parameters
	251	INTERFACE stg_check_parameters
	252	MODULE PROCEDURE stg_check_parameters
	253	END INTERFACE stg_check_parameters
	254
	255	!
	256	!-- Calculate filter functions
	257	INTERFACE stg_filter_func
	258	MODULE PROCEDURE stg_filter_func
	259	END INTERFACE stg_filter_func
	260
	261	!
[2938]	262	!-- Generate velocity seeds at south and north domain boundary
	263	INTERFACE stg_generate_seed_xz
	264	MODULE PROCEDURE stg_generate_seed_xz
	265	END INTERFACE stg_generate_seed_xz
	266	!
	267	!-- Generate velocity seeds at left and/or right domain boundary
[2259]	268	INTERFACE stg_generate_seed_yz
	269	MODULE PROCEDURE stg_generate_seed_yz
	270	END INTERFACE stg_generate_seed_yz
	271
	272	!
	273	!-- Output of information to the header file
	274	INTERFACE stg_header
	275	MODULE PROCEDURE stg_header
	276	END INTERFACE stg_header
	277
	278	!
	279	!-- Initialization actions
	280	INTERFACE stg_init
	281	MODULE PROCEDURE stg_init
	282	END INTERFACE stg_init
	283
	284	!
	285	!-- Main procedure of synth. turb. gen.
	286	INTERFACE stg_main
	287	MODULE PROCEDURE stg_main
	288	END INTERFACE stg_main
	289
	290	!
	291	!-- Reading of NAMELIST parameters
	292	INTERFACE stg_parin
	293	MODULE PROCEDURE stg_parin
	294	END INTERFACE stg_parin
	295
	296	!
	297	!-- Reading of parameters for restart runs
[2894]	298	INTERFACE stg_rrd_global
	299	MODULE PROCEDURE stg_rrd_global
	300	END INTERFACE stg_rrd_global
[2259]	301
	302	!
	303	!-- Writing of binary output for restart runs
[2894]	304	INTERFACE stg_wrd_global
	305	MODULE PROCEDURE stg_wrd_global
	306	END INTERFACE stg_wrd_global
[2259]	307
	308	SAVE
	309
	310	PRIVATE
	311
	312	!
	313	!-- Public interfaces
	314	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
[2894]	315	stg_wrd_global, stg_rrd_global
[2259]	316
	317	!
	318	!-- Public variables
[2938]	319	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	320	use_syn_turb_gen
[2259]	321
	322
	323	CONTAINS
	324
	325
	326	!------------------------------------------------------------------------------!
	327	! Description:
	328	! ------------
	329	!> Check parameters routine for synthetic turbulence generator
	330	!------------------------------------------------------------------------------!
	331	SUBROUTINE stg_check_parameters
	332
	333
	334	USE control_parameters, &
[3241]	335	ONLY: bc_lr, bc_ns, child_domain, nesting_offline, rans_mode, &
	336	turbulent_inflow
[2259]	337
[2938]	338	USE pmc_interface, &
	339	ONLY : rans_mode_parent
[2259]	340
[2938]	341
[2259]	342	IMPLICIT NONE
	343
[3182]	344	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. &
	345	nesting_offline ) THEN
	346	message_string = 'No synthetic turbulence generator is applied. ' // &
	347	'In case PALM operates in LES mode and lateral ' // &
	348	'boundary conditions are provided by COSMO model, ' // &
	349	'turbulence may require large adjustment lenght at ' //&
	350	'the lateral inflow boundaries. Please check your ' // &
	351	'results carefully.'
	352	CALL message( 'stg_check_parameters', 'PA0000', 0, 0, 0, 6, 0 )
[2938]	353	ENDIF
	354
[3182]	355	IF ( .NOT. use_syn_turb_gen .AND. child_domain &
[2938]	356	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
	357	message_string = 'Synthetic turbulence generator has to be applied ' // &
	358	'when nesting is applied and parent operates in ' // &
	359	'RANS-mode but current child in LES mode.'
	360	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	361	ENDIF
	362
[2776]	363	IF ( use_syn_turb_gen ) THEN
[2259]	364
[3182]	365	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
	366
[2938]	367	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
	368	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
	369	message_string = 'Using synthetic turbulence generator ' // &
[3046]	370	'requires %initializing_actions = ' // &
[2938]	371	'"set_constant_profiles" or "read_restart_data"'
	372	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
	373	ENDIF
	374
	375	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
	376	message_string = 'Using synthetic turbulence generator ' // &
[3046]	377	'requires &bc_lr = "dirichlet/radiation"'
[2938]	378	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
	379	ENDIF
	380	IF ( bc_ns /= 'cyclic' ) THEN
	381	message_string = 'Using synthetic turbulence generator ' // &
[3046]	382	'requires &bc_ns = "cyclic"'
[2938]	383	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
	384	ENDIF
	385
[2259]	386	ENDIF
	387
	388	IF ( turbulent_inflow ) THEN
	389	message_string = 'Using synthetic turbulence generator ' // &
[2938]	390	'in combination &with turbulent_inflow = .T. '// &
	391	'is not allowed'
[2259]	392	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
	393	ENDIF
	394
	395	ENDIF
	396
	397	END SUBROUTINE stg_check_parameters
	398
	399
	400	!------------------------------------------------------------------------------!
	401	! Description:
	402	! ------------
	403	!> Header output for synthetic turbulence generator
	404	!------------------------------------------------------------------------------!
	405	SUBROUTINE stg_header ( io )
	406
	407
	408	IMPLICIT NONE
	409
	410	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	411
	412	!
	413	!-- Write synthetic turbulence generator Header
	414	WRITE( io, 1 )
[2776]	415	IF ( use_syn_turb_gen ) THEN
[2259]	416	WRITE( io, 2 )
	417	ELSE
	418	WRITE( io, 3 )
	419	ENDIF
	420
	421	1 FORMAT (//' Synthetic turbulence generator information:'/ &
	422	' ------------------------------------------'/)
	423	2 FORMAT (' synthetic turbulence generator switched on')
	424	3 FORMAT (' synthetic turbulence generator switched off')
	425
	426	END SUBROUTINE stg_header
	427
	428
	429	!------------------------------------------------------------------------------!
	430	! Description:
	431	! ------------
	432	!> Initialization of the synthetic turbulence generator
	433	!------------------------------------------------------------------------------!
	434	SUBROUTINE stg_init
	435
	436
	437	USE arrays_3d, &
[2938]	438	ONLY: ddzw, u_init, v_init, zu
[2259]	439
	440	USE control_parameters, &
[3241]	441	ONLY: child_domain, coupling_char, e_init, nesting_offline, rans_mode
[2259]	442
	443	USE grid_variables, &
[2938]	444	ONLY: ddx, ddy
[2259]	445
[2938]	446	USE indices, &
	447	ONLY: nz
[2259]	448
[2945]	449	USE pmc_interface, &
	450	ONLY : rans_mode_parent
[2938]	451
[2945]	452
[2259]	453	IMPLICIT NONE
	454
[2938]	455	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
	456
[2669]	457	#if defined( __parallel )
[2259]	458	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
	459	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
[2669]	460	#endif
[2259]	461
[2938]	462	INTEGER(iwp) :: i !> grid index in x-direction
[2259]	463	INTEGER(iwp) :: j !> loop index
	464	INTEGER(iwp) :: k !< index
	465	INTEGER(iwp) :: newtype !< dummy MPI type
	466	INTEGER(iwp) :: realsize !< size of REAL variables
	467	INTEGER(iwp) :: nseed !< dimension of random number seed
	468	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
	469
	470	!
	471	!-- Dummy variables used for reading profiles
	472	REAL(wp) :: d1 !< u profile
	473	REAL(wp) :: d2 !< v profile
	474	REAL(wp) :: d3 !< w profile
	475	REAL(wp) :: d5 !< e profile
	476	REAL(wp) :: d11 !< vertical interpolation for a11
	477	REAL(wp) :: d21 !< vertical interpolation for a21
	478	REAL(wp) :: d22 !< vertical interpolation for a22
[2938]	479	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
[2259]	480	REAL(wp) :: luy !< length scale for u in y direction
	481	REAL(wp) :: luz !< length scale for u in z direction
	482	REAL(wp) :: lvy !< length scale for v in y direction
	483	REAL(wp) :: lvz !< length scale for v in z direction
	484	REAL(wp) :: lwy !< length scale for w in y direction
	485	REAL(wp) :: lwz !< length scale for w in z direction
[3038]	486	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
[2259]	487	REAL(wp) :: zz !< height
	488
[3044]	489	REAL(wp) :: length_scale_surface !< typical length scale
	490	REAL(wp) :: r_ii_0 !< correction factor
	491	REAL(wp) :: time_scale !< typical time scale
	492	REAL(wp) :: length_scale_z !< typical length scale
[2938]	493
[2259]	494	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
	495	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
	496	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
	497	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
	498	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
	499	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
	500
	501
	502	#if defined( __parallel )
	503	CALL MPI_BARRIER( comm2d, ierr )
	504	#endif
	505
	506	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	507
	508	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
	509	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
	510
	511	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
	512	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
[2938]	513	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
	514	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
	515	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
[2259]	516	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
	517
[2669]	518	#if defined( __parallel )
[2259]	519	!
[2938]	520	!-- Determine processor decomposition of z-axis along x- and y-direction
	521	nnz = nz / pdims(1)
[2945]	522	nzb_x_stg = 1 + myidx * INT( nnz )
	523	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
[2938]	524
[3038]	525	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
[2945]	526	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
	527	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
[2938]	528
[3182]	529	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	530	.AND. .NOT. rans_mode ) ) THEN
[2938]	531	nnz = nz / pdims(2)
[2945]	532	nzb_y_stg = 1 + myidy * INT( nnz )
	533	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
[2938]	534
[2945]	535	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
[3038]	536	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
[2945]	537	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
[2938]	538	ENDIF
	539
	540	!
[2259]	541	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
	542	!-- velocity seeds
	543	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
	544	extent = 1 * realsize
[2938]	545	!
[3038]	546	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
	547	!-- layer
[2938]	548	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
[2259]	549	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
	550	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	551	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
	552	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
	553	CALL MPI_TYPE_FREE( newtype, ierr )
	554
[2938]	555	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	556	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
[2259]	557	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	558	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
	559	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
	560	CALL MPI_TYPE_FREE( newtype, ierr )
	561
	562	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
[2938]	563	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
[2259]	564
[2938]	565	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
	566	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
[2259]	567
	568	DO j = 1, pdims(1)
[2938]	569	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
[2259]	570	ENDDO
[2938]	571	!
[3038]	572	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
	573	!-- layer
[2938]	574	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
[3182]	575	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	576	.AND. .NOT. rans_mode ) ) THEN
[2945]	577	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
[2938]	578	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	579	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
	580	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
	581	CALL MPI_TYPE_FREE( newtype, ierr )
	582
	583	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	584	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
[2938]	585	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	586	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
	587	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
	588	CALL MPI_TYPE_FREE( newtype, ierr )
	589
	590	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
	591	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
	592
	593	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
	594	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
	595
	596	DO j = 1, pdims(2)
	597	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
	598	ENDDO
	599
	600	ENDIF
	601
[2669]	602	#endif
[2259]	603	!
	604	!-- Define seed of random number
	605	CALL RANDOM_SEED()
	606	CALL RANDOM_SEED( size=nseed )
	607	ALLOCATE( seed(1:nseed) )
	608	DO j = 1, nseed
	609	seed(j) = startseed + j
	610	ENDDO
	611	CALL RANDOM_SEED(put=seed)
	612
	613	!-- Read inflow profile
	614	!-- Height levels of profiles in input profile is as follows:
	615	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
	616	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
	617	!-- WARNING: zz is not used at the moment
[2938]	618	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
	619	EXIST = file_stg_exist )
[2259]	620
[2938]	621	IF ( file_stg_exist ) THEN
[2259]	622
[2938]	623	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
	624	FORM='FORMATTED')
	625	!
	626	!-- Skip header
	627	READ( 90, * )
[2259]	628
[3182]	629	DO k = nzb+1, nzt+1
[2938]	630	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
	631	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
	632	d1, d2, d3, d5
	633
[2259]	634	!
[3182]	635	!-- Convert length scales from meter to number of grid points.
[2938]	636	nuy(k) = INT( luy * ddy )
[3182]	637	nuz(k) = INT( luz * ddzw(k) )
[2938]	638	nvy(k) = INT( lvy * ddy )
[3182]	639	nvz(k) = INT( lvz * ddzw(k) )
[2938]	640	nwy(k) = INT( lwy * ddy )
[3182]	641	nwz(k) = INT( lwz * ddzw(k) )
[2938]	642	!
	643	!-- Workaround, assume isotropic turbulence
	644	nwx(k) = nwy(k)
	645	nvx(k) = nvy(k)
	646	nux(k) = nuy(k)
	647	!
	648	!-- Save Mean inflow profiles
	649	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	650	mean_inflow_profiles(k,1) = d1
	651	mean_inflow_profiles(k,2) = d2
	652	! mean_inflow_profiles(k,4) = d4
	653	mean_inflow_profiles(k,5) = d5
	654	ENDIF
	655	ENDDO
[3182]	656	!
	657	!-- Set lenght scales at surface grid point
	658	nuy(nzb) = nuy(nzb+1)
	659	nuz(nzb) = nuz(nzb+1)
	660	nvy(nzb) = nvy(nzb+1)
	661	nvz(nzb) = nvz(nzb+1)
	662	nwy(nzb) = nwy(nzb+1)
	663	nwz(nzb) = nwz(nzb+1)
	664
[2938]	665	CLOSE( 90 )
[3038]	666
[2938]	667	ELSE
[2259]	668	!
[3038]	669	!-- Set-up defaul length scales. Assume exponentially decreasing length
	670	!-- scales and isotropic turbulence.
	671	!-- Typical length (time) scales of 100 m (s) should be a good compromise
	672	!-- between all stratrifications. Near-surface variances are fixed to
[2938]	673	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
[3038]	674	!-- Vertical fluxes
[2938]	675	length_scale_surface = 100.0_wp
	676	r_ii_0 = 0.1_wp
	677	time_scale = 100.0_wp
	678	DO k = nzb+1, nzt+1
	679	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
	680	0.0_wp, &
	681	zu(k) > 0.3 * zu(nzt) &
	682	)
	683	length_scale_z = length_scale_surface * EXP( dum_exp )
[2259]	684
[2938]	685	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
	686	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	687	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	688	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	689	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	690	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	691	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	692	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	693	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
[2259]	694
[2938]	695	r11(k) = r_ii_0 * EXP( dum_exp )
	696	r22(k) = r_ii_0 * EXP( dum_exp )
	697	r33(k) = r_ii_0 * EXP( dum_exp )
[2259]	698
[2938]	699	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	700	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	701	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	702
	703	tu(k) = time_scale
	704	tv(k) = time_scale
	705	tw(k) = time_scale
	706
	707	ENDDO
	708	nux(nzb) = nux(nzb+1)
	709	nuy(nzb) = nuy(nzb+1)
	710	nuz(nzb) = nuz(nzb+1)
	711	nvx(nzb) = nvx(nzb+1)
	712	nvy(nzb) = nvy(nzb+1)
	713	nvz(nzb) = nvz(nzb+1)
	714	nwx(nzb) = nwx(nzb+1)
	715	nwy(nzb) = nwy(nzb+1)
	716	nwz(nzb) = nwz(nzb+1)
	717
	718	r11(nzb) = r11(nzb+1)
	719	r22(nzb) = r22(nzb+1)
	720	r33(nzb) = r33(nzb+1)
	721
	722	r21(nzb) = r11(nzb+1)
	723	r31(nzb) = r31(nzb+1)
	724	r32(nzb) = r32(nzb+1)
	725
	726	tu(nzb) = time_scale
	727	tv(nzb) = time_scale
	728	tw(nzb) = time_scale
	729
	730	ENDIF
	731
[2259]	732	!
[2938]	733	!-- Assign initial profiles
[3182]	734	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
[2938]	735	u_init = mean_inflow_profiles(:,1)
	736	v_init = mean_inflow_profiles(:,2)
	737	!pt_init = mean_inflow_profiles(:,4)
	738	e_init = MAXVAL( mean_inflow_profiles(:,5) )
	739	ENDIF
	740	!
[2259]	741	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
	742	DO k = nzb, nzt+1
	743	IF ( r11(k) > 0.0_wp ) THEN
	744	a11(k) = SQRT( r11(k) )
	745	a21(k) = r21(k) / a11(k)
	746	ELSE
	747	a11(k) = 0.0_wp
	748	a21(k) = 0.0_wp
	749	ENDIF
	750
	751	a22(k) = r22(k) - a21(k)**2
	752	IF ( a22(k) > 0.0_wp ) THEN
	753	a22(k) = SQRT( a22(k) )
	754	ELSE
	755	a22(k) = 0.0_wp
	756	ENDIF
	757
	758	!
	759	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
	760	!-- d21, d22) because of different vertical grid
	761	IF ( k .le. nzt ) THEN
	762	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
	763	IF ( d11 > 0.0_wp ) THEN
	764	d11 = SQRT( d11 )
	765	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
	766	a31(k) = r31(k) / d11
	767	ELSE
	768	d21 = 0.0_wp
	769	a31(k) = 0.0_wp
	770	ENDIF
	771
	772	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
	773	IF ( d22 > 0.0_wp ) THEN
	774	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
	775	ELSE
	776	a32(k) = 0.0_wp
	777	ENDIF
	778
	779	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
	780	IF ( a33(k) > 0.0_wp ) THEN
	781	a33(k) = SQRT( a33(k) )
	782	ELSE
	783	a33(k) = 0.0_wp
	784	ENDIF
	785	ELSE
	786	a31(k) = a31(k-1)
	787	a32(k) = a32(k-1)
	788	a33(k) = a33(k-1)
	789	ENDIF
	790
	791	ENDDO
	792	!
	793	!-- Define the size of the filter functions and allocate them.
	794	merg = 0
	795
	796	! arrays must be large enough to cover the largest length scale
	797	DO k = nzb, nzt+1
[2938]	798	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
	799	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
	800	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
[2259]	801	IF ( j > merg ) merg = j
	802	ENDDO
	803
	804	merg = 2 * merg
	805	mergp = merg + nbgp
	806
[2938]	807	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
	808	buy(-merg:merg,nzb:nzt+1), &
	809	buz(-merg:merg,nzb:nzt+1), &
	810	bvx(-merg:merg,nzb:nzt+1), &
	811	bvy(-merg:merg,nzb:nzt+1), &
	812	bvz(-merg:merg,nzb:nzt+1), &
	813	bwx(-merg:merg,nzb:nzt+1), &
	814	bwy(-merg:merg,nzb:nzt+1), &
	815	bwz(-merg:merg,nzb:nzt+1) )
[2259]	816
	817	!
[2938]	818	!-- Allocate velocity seeds for turbulence at xz-layer
	819	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
	820	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
	821	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
[2259]	822
[2938]	823	!
	824	!-- Allocate velocity seeds for turbulence at yz-layer
	825	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
	826	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
	827	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
[2259]	828
[2938]	829	fu_xz = 0.0_wp
	830	fuo_xz = 0.0_wp
	831	fv_xz = 0.0_wp
	832	fvo_xz = 0.0_wp
	833	fw_xz = 0.0_wp
	834	fwo_xz = 0.0_wp
	835
	836	fu_yz = 0.0_wp
	837	fuo_yz = 0.0_wp
	838	fv_yz = 0.0_wp
	839	fvo_yz = 0.0_wp
	840	fw_yz = 0.0_wp
	841	fwo_yz = 0.0_wp
	842
[2259]	843	!
	844	!-- Create filter functions
[2938]	845	CALL stg_filter_func( nux, bux ) !filter ux
[2259]	846	CALL stg_filter_func( nuy, buy ) !filter uy
	847	CALL stg_filter_func( nuz, buz ) !filter uz
[2938]	848	CALL stg_filter_func( nvx, bvx ) !filter vx
[2259]	849	CALL stg_filter_func( nvy, bvy ) !filter vy
	850	CALL stg_filter_func( nvz, bvz ) !filter vz
[2938]	851	CALL stg_filter_func( nwx, bwx ) !filter wx
[2259]	852	CALL stg_filter_func( nwy, bwy ) !filter wy
	853	CALL stg_filter_func( nwz, bwz ) !filter wz
	854
	855	#if defined( __parallel )
	856	CALL MPI_BARRIER( comm2d, ierr )
	857	#endif
	858
	859	!
[2938]	860	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
	861	! time step.
	862	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
	863	! are 0 compared to the prerun. This is mostly for k=nzt+1.
[2259]	864	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
[2938]	865	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
	866
	867	IF ( myidx == id_stg_left ) i = -1
	868	IF ( myidx == id_stg_right ) i = nxr+1
	869
[2259]	870	DO j = nysg, nyng
	871	DO k = nzb, nzt+1
	872
	873	IF ( a11(k) .NE. 0._wp ) THEN
[2938]	874	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
[2259]	875	ELSE
[2938]	876	fu_yz(k,j) = 0._wp
[2259]	877	ENDIF
	878
	879	IF ( a22(k) .NE. 0._wp ) THEN
[2938]	880	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
	881	v_init(k) ) / a22(k)
[2259]	882	ELSE
[2938]	883	fv_yz(k,j) = 0._wp
[2259]	884	ENDIF
	885
	886	IF ( a33(k) .NE. 0._wp ) THEN
[2938]	887	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
	888	a32(k) * fv_yz(k,j) ) / a33(k)
[2259]	889	ELSE
[2938]	890	fw_yz = 0._wp
[2259]	891	ENDIF
	892
	893	ENDDO
	894	ENDDO
	895	ENDIF
	896	ENDIF
	897
	898	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	899
	900	END SUBROUTINE stg_init
	901
	902
	903	!------------------------------------------------------------------------------!
	904	! Description:
	905	! ------------
	906	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
	907	!> (Xie and Castro, 2008)
	908	!------------------------------------------------------------------------------!
	909	SUBROUTINE stg_filter_func( nxx, bxx )
	910
	911
	912	IMPLICIT NONE
	913
	914	INTEGER(iwp) :: k !< loop index
	915	INTEGER(iwp) :: n_k !< length scale nXX in height k
	916	INTEGER(iwp) :: n_k2 !< n_k * 2
	917	INTEGER(iwp) :: nf !< index for length scales
	918
	919	REAL(wp) :: bdenom !< denominator for filter functions bXX
	920	REAL(wp) :: qsi = 1.0_wp !< minimization factor
	921
	922	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
	923
	924	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
	925
	926
	927	bxx = 0.0_wp
	928
	929	DO k = nzb, nzt+1
	930	bdenom = 0.0_wp
	931	n_k = nxx(k)
	932	IF ( n_k /= 0 ) THEN
	933	n_k2 = n_k * 2
	934
	935	!
	936	!-- ( Eq.10 )^2
	937	DO nf = -n_k2, n_k2
	938	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
	939	ENDDO
	940
	941	!
	942	!-- ( Eq.9 )
	943	bdenom = SQRT( bdenom )
	944	DO nf = -n_k2, n_k2
	945	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
	946	ENDDO
	947	ENDIF
	948	ENDDO
	949
	950	END SUBROUTINE stg_filter_func
	951
	952
	953	!------------------------------------------------------------------------------!
	954	! Description:
	955	! ------------
	956	!> Parin for &stg_par for synthetic turbulence generator
	957	!------------------------------------------------------------------------------!
	958	SUBROUTINE stg_parin
	959
	960
	961	IMPLICIT NONE
	962
	963	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	964
	965
[2776]	966	NAMELIST /stg_par/ use_syn_turb_gen
[2259]	967
	968	line = ' '
	969
	970	!
	971	!-- Try to find stg package
	972	REWIND ( 11 )
	973	line = ' '
	974	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
[3246]	975	READ ( 11, '(A)', END=20 ) line
[2259]	976	ENDDO
	977	BACKSPACE ( 11 )
	978
	979	!
	980	!-- Read namelist
[3246]	981	READ ( 11, stg_par, ERR = 10, END = 20 )
[2259]	982
	983	!
	984	!-- Set flag that indicates that the synthetic turbulence generator is switched
	985	!-- on
[2776]	986	syn_turb_gen = .TRUE.
[3246]	987	GOTO 20
[2259]	988
[3246]	989	10 BACKSPACE( 11 )
[3248]	990	READ( 11 , '(A)') line
	991	CALL parin_fail_message( 'stg_par', line )
[2563]	992
[3246]	993	20 CONTINUE
[2259]	994
	995	END SUBROUTINE stg_parin
	996
	997
	998	!------------------------------------------------------------------------------!
	999	! Description:
	1000	! ------------
[2894]	1001	!> This routine reads the respective restart data.
[2576]	1002	!------------------------------------------------------------------------------!
[2894]	1003	SUBROUTINE stg_rrd_global( found )
[2576]	1004
	1005
[2894]	1006	USE control_parameters, &
	1007	ONLY: length, restart_string
[2576]	1008
	1009
[2894]	1010	IMPLICIT NONE
[2576]	1011
[3044]	1012	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
[2259]	1013
	1014
[2894]	1015	found = .TRUE.
[2259]	1016
[3038]	1017
[2894]	1018	SELECT CASE ( restart_string(1:length) )
[2259]	1019
[2894]	1020	CASE ( 'mc_factor' )
	1021	READ ( 13 ) mc_factor
	1022	CASE ( 'use_syn_turb_gen' )
	1023	READ ( 13 ) use_syn_turb_gen
[2259]	1024
[2894]	1025	CASE DEFAULT
[2259]	1026
[3038]	1027	found = .FALSE.
[2259]	1028
[2894]	1029	END SELECT
[2259]	1030
	1031
[2894]	1032	END SUBROUTINE stg_rrd_global
[2259]	1033
	1034
	1035	!------------------------------------------------------------------------------!
	1036	! Description:
	1037	! ------------
	1038	!> This routine writes the respective restart data.
	1039	!------------------------------------------------------------------------------!
[2894]	1040	SUBROUTINE stg_wrd_global
[2259]	1041
	1042
	1043	IMPLICIT NONE
	1044
[2894]	1045	CALL wrd_write_string( 'mc_factor' )
[2259]	1046	WRITE ( 14 ) mc_factor
	1047
[2894]	1048	CALL wrd_write_string( 'use_syn_turb_gen' )
	1049	WRITE ( 14 ) use_syn_turb_gen
[2259]	1050
	1051
[2894]	1052	END SUBROUTINE stg_wrd_global
[2259]	1053
[2894]	1054
[2259]	1055	!------------------------------------------------------------------------------!
	1056	! Description:
	1057	! ------------
	1058	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
	1059	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
	1060	!> following suggestions of Kim et al. (2013), and using a Lund rotation
	1061	!> (Lund, 1998).
	1062	!------------------------------------------------------------------------------!
	1063	SUBROUTINE stg_main
	1064
	1065
	1066	USE arrays_3d, &
	1067	ONLY: dzw
	1068
	1069	USE control_parameters, &
[3182]	1070	ONLY: child_domain, dt_3d, intermediate_timestep_count, &
	1071	nesting_offline, rans_mode, simulated_time, volume_flow_initial
[2259]	1072
[2938]	1073	USE grid_variables, &
	1074	ONLY: dx, dy
	1075
[2259]	1076	USE indices, &
[2938]	1077	ONLY: wall_flags_0
[2259]	1078
	1079	USE statistics, &
	1080	ONLY: weight_substep
	1081
[2945]	1082	USE pmc_interface, &
	1083	ONLY : rans_mode_parent
[2259]	1084
[2945]	1085
[2259]	1086	IMPLICIT NONE
	1087
[2938]	1088	INTEGER(iwp) :: i !< grid index in x-direction
[2259]	1089	INTEGER(iwp) :: j !< loop index in y-direction
	1090	INTEGER(iwp) :: k !< loop index in z-direction
	1091
	1092	REAL(wp) :: dt_stg !< wheighted subtimestep
	1093	REAL(wp) :: mc_factor_l !< local mass flux correction factor
[2938]	1094	REAL(wp) :: volume_flow !< mass flux through lateral boundary
	1095	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
[2259]	1096
[2938]	1097	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
	1098	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
[2259]	1099
	1100
	1101	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	1102
	1103	!
	1104	!-- Calculate time step which is needed for filter functions
	1105	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
	1106
	1107	!
	1108	!-- Initial value of fu, fv, fw
	1109	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
[2938]	1110	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
	1111	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
	1112	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
	1113
[3182]	1114	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	1115	.AND. .NOT. rans_mode ) ) THEN
[2938]	1116	!
	1117	!-- Generate turbulence at right boundary
	1118	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
	1119	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
	1120	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
	1121	!
	1122	!-- Generate turbulence at north boundary
	1123	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
	1124	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
	1125	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
	1126	!
	1127	!-- Generate turbulence at south boundary
	1128	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
	1129	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
	1130	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
	1131	ENDIF
[2259]	1132	velocity_seed_initialized = .TRUE.
	1133	ENDIF
	1134	!
	1135	!-- New set of fu, fv, fw
[2938]	1136	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
	1137	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
	1138	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
[2259]	1139
[3182]	1140	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	1141	.AND. .NOT. rans_mode ) ) THEN
[2938]	1142	!
	1143	!-- Generate turbulence at right boundary
	1144	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
	1145	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
	1146	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
	1147	!
	1148	!-- Generate turbulence at north boundary
	1149	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
	1150	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
	1151	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
	1152	!
	1153	!-- Generate turbulence at south boundary
	1154	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
	1155	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
	1156	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
	1157	ENDIF
	1158	!
	1159	!-- Turbulence generation at left and or right boundary
	1160	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
[2259]	1161
	1162	DO j = nysg, nyng
	1163	DO k = nzb, nzt + 1
	1164	!
	1165	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1166	IF ( tu(k) == 0.0_wp ) THEN
[2938]	1167	fu_yz(k,j) = fuo_yz(k,j)
[2259]	1168	ELSE
[2938]	1169	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1170	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
[2259]	1171	ENDIF
	1172
	1173	IF ( tv(k) == 0.0_wp ) THEN
[2938]	1174	fv_yz(k,j) = fvo_yz(k,j)
[2259]	1175	ELSE
[2938]	1176	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1177	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
[2259]	1178	ENDIF
	1179
	1180	IF ( tw(k) == 0.0_wp ) THEN
[2938]	1181	fw_yz(k,j) = fwo_yz(k,j)
[2259]	1182	ELSE
[2938]	1183	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1184	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
[2259]	1185	ENDIF
	1186	!
	1187	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1188	!-- Additional factors are added to improve the variance of v and w
	1189	IF( k == 0 ) THEN
[2938]	1190	dist_yz(k,j,1) = 0.0_wp
	1191	dist_yz(k,j,2) = 0.0_wp
	1192	dist_yz(k,j,3) = 0.0_wp
	1193	! dist_yz(k,j,4) = 0.0_wp
	1194	! dist_yz(k,j,5) = 0.0_wp
[2259]	1195	ELSE
[2938]	1196	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
[2259]	1197	!experimental test of 1.2
[2945]	1198	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
[2259]	1199	* 1.2_wp ) &
[2945]	1200	* ( a21(k) * fu_yz(k,j) &
[2938]	1201	+ a22(k) * fv_yz(k,j) )
[2945]	1202	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
[2259]	1203	* 1.3_wp ) &
[2945]	1204	* ( a31(k) * fu_yz(k,j) &
	1205	+ a32(k) * fv_yz(k,j) &
[2938]	1206	+ a33(k) * fw_yz(k,j) )
[2259]	1207	! Calculation for pt and e not yet implemented
[2938]	1208	! dist_yz(k,j,4) = 0.0_wp
	1209	! dist_yz(k,j,5) = 0.0_wp
[2259]	1210	ENDIF
	1211
	1212	ENDDO
	1213	ENDDO
	1214
	1215	!
	1216	!-- Mass flux correction following Kim et al. (2013)
	1217	!-- This correction factor insures that the mass flux is preserved at the
	1218	!-- inflow boundary
[3182]	1219	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
[2938]	1220	mc_factor_l = 0.0_wp
	1221	mc_factor = 0.0_wp
	1222	DO j = nys, nyn
	1223	DO k = nzb+1, nzt
	1224	mc_factor_l = mc_factor_l + dzw(k) * &
	1225	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
	1226	ENDDO
[2259]	1227	ENDDO
	1228
	1229	#if defined( __parallel )
[2938]	1230	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1231	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
[2259]	1232	#else
[2938]	1233	mc_factor = mc_factor_l
[2259]	1234	#endif
	1235
[2938]	1236	mc_factor = volume_flow_initial(1) / mc_factor
[2259]	1237
	1238	!
[2938]	1239	!-- Add disturbance at the inflow
	1240	DO j = nysg, nyng
	1241	DO k = nzb, nzt+1
	1242	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
	1243	dist_yz(k,j,1) ) * mc_factor
	1244	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
	1245	dist_yz(k,j,2) ) * mc_factor
	1246	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
	1247	ENDDO
[2259]	1248	ENDDO
[2938]	1249
	1250	ELSE
	1251	!
	1252	!-- First, calculate volume flow at yz boundary
	1253	IF ( myidx == id_stg_left ) i = nxl
	1254	IF ( myidx == id_stg_right ) i = nxr+1
	1255
	1256	volume_flow_l = 0.0_wp
	1257	volume_flow = 0.0_wp
	1258	mc_factor_l = 0.0_wp
	1259	mc_factor = 0.0_wp
	1260	DO j = nys, nyn
	1261	DO k = nzb+1, nzt
	1262	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
[3038]	1263	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1264	BTEST( wall_flags_0(k,j,i), 1 ) )
	1265
	1266	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
	1267	* dzw(k) * dy &
[3038]	1268	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1269	BTEST( wall_flags_0(k,j,i), 1 ) )
	1270	ENDDO
	1271	ENDDO
	1272	#if defined( __parallel )
	1273	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
	1274	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1275	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1276	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1277	#else
	1278	volume_flow = volume_flow_l
	1279	mc_factor = mc_factor_l
	1280	#endif
	1281
	1282	mc_factor = volume_flow / mc_factor
	1283
	1284	!
	1285	!-- Add disturbances
	1286	IF ( myidx == id_stg_left ) THEN
	1287
[3186]	1288	DO j = nys, nyn
	1289	DO k = nzb, nzt
	1290	u(k,j,0) = ( u(k,j,0) + dist_yz(k,j,1) ) &
	1291	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1292	BTEST( wall_flags_0(k,j,0), 1 ) )
	1293	v(k,j,-1) = ( v(k,j,-1) + dist_yz(k,j,2) ) &
	1294	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1295	BTEST( wall_flags_0(k,j,-1), 2 ) )
	1296	w(k,j,-1) = ( w(k,j,-1) + dist_yz(k,j,3) ) &
	1297	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1298	BTEST( wall_flags_0(k,j,-1), 3 ) )
[2938]	1299	ENDDO
	1300	ENDDO
	1301	ENDIF
	1302	IF ( myidx == id_stg_right ) THEN
	1303
[3186]	1304	DO j = nys, nyn
	1305	DO k = nzb, nzt
	1306	u(k,j,nxr+1) = ( u(k,j,nxr+1) + dist_yz(k,j,1) ) &
	1307	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1308	BTEST( wall_flags_0(k,j,nxr+1), 1 ) )
	1309	v(k,j,nxr+1) = ( v(k,j,nxr+1) + dist_yz(k,j,2) ) &
	1310	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1311	BTEST( wall_flags_0(k,j,nxr+1), 2 ) )
	1312	w(k,j,nxr+1) = ( w(k,j,nxr+1) + dist_yz(k,j,3) ) &
	1313	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1314	BTEST( wall_flags_0(k,j,nxr+1), 3 ) )
[2938]	1315	ENDDO
	1316	ENDDO
	1317	ENDIF
	1318	ENDIF
	1319
	1320	ENDIF
	1321	!
	1322	!-- Turbulence generation at north and south boundary
	1323	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
	1324
	1325	DO i = nxlg, nxrg
	1326	DO k = nzb, nzt + 1
	1327	!
	1328	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1329	IF ( tu(k) == 0.0_wp ) THEN
	1330	fu_xz(k,i) = fuo_xz(k,i)
	1331	ELSE
	1332	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1333	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
	1334	ENDIF
	1335
	1336	IF ( tv(k) == 0.0_wp ) THEN
	1337	fv_xz(k,i) = fvo_xz(k,i)
	1338	ELSE
	1339	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1340	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
	1341	ENDIF
	1342
	1343	IF ( tw(k) == 0.0_wp ) THEN
	1344	fw_xz(k,i) = fwo_xz(k,i)
	1345	ELSE
	1346	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1347	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
	1348	ENDIF
	1349	!
	1350	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1351	!-- Additional factors are added to improve the variance of v and w
	1352	IF( k == 0 ) THEN
	1353	dist_xz(k,i,1) = 0.0_wp
	1354	dist_xz(k,i,2) = 0.0_wp
	1355	dist_xz(k,i,3) = 0.0_wp
	1356
	1357	ELSE
	1358	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
	1359	!experimental test of 1.2
	1360	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
	1361	* 1.2_wp ) &
	1362	* ( a21(k) * fu_xz(k,i) &
	1363	+ a22(k) * fv_xz(k,i) )
	1364	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
	1365	* 1.3_wp ) &
	1366	* ( a31(k) * fu_xz(k,i) &
	1367	+ a32(k) * fv_xz(k,i) &
	1368	+ a33(k) * fw_xz(k,i) )
	1369	ENDIF
	1370
	1371	ENDDO
[2259]	1372	ENDDO
[2938]	1373	!
	1374	!-- Mass flux correction following Kim et al. (2013)
	1375	!-- This correction factor insures that the mass flux is preserved at the
	1376	!-- inflow boundary.
	1377	!-- First, calculate volume flow at xz boundary
	1378	IF ( myidy == id_stg_south ) j = nys
	1379	IF ( myidy == id_stg_north ) j = nyn+1
[2259]	1380
[2938]	1381	volume_flow_l = 0.0_wp
	1382	volume_flow = 0.0_wp
	1383	mc_factor_l = 0.0_wp
	1384	mc_factor = 0.0_wp
	1385	DO i = nxl, nxr
	1386	DO k = nzb+1, nzt
[2945]	1387	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
[3038]	1388	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1389	BTEST( wall_flags_0(k,j,i), 2 ) )
	1390
[2945]	1391	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
	1392	* dzw(k) * dx &
[3038]	1393	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1394	BTEST( wall_flags_0(k,j,i), 2 ) )
	1395	ENDDO
	1396	ENDDO
	1397	#if defined( __parallel )
[2945]	1398	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
[2938]	1399	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
[2945]	1400	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
[2938]	1401	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
	1402	#else
	1403	volume_flow = volume_flow_l
	1404	mc_factor = mc_factor_l
	1405	#endif
	1406
	1407	mc_factor = volume_flow / mc_factor
	1408
	1409	!
	1410	!-- Add disturbances
	1411	IF ( myidy == id_stg_south ) THEN
	1412
[3186]	1413	DO i = nxl, nxr
	1414	DO k = nzb, nzt
	1415	u(k,-1,i) = ( u(k,-1,i) + dist_xz(k,i,1) ) &
	1416	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1417	BTEST( wall_flags_0(k,-1,i), 1 ) )
	1418	v(k,0,i) = ( v(k,0,i) + dist_xz(k,i,2) ) &
	1419	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1420	BTEST( wall_flags_0(k,0,i), 2 ) )
	1421	w(k,-1,i) = ( w(k,-1,i) + dist_xz(k,i,3) ) &
	1422	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1423	BTEST( wall_flags_0(k,-1,i), 3 ) )
[2938]	1424	ENDDO
	1425	ENDDO
	1426	ENDIF
	1427	IF ( myidy == id_stg_north ) THEN
	1428
[3186]	1429	DO i = nxl, nxr
	1430	DO k = nzb, nzt
	1431	u(k,nyn+1,i) = ( u(k,nyn+1,i) + dist_xz(k,i,1) ) &
	1432	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1433	BTEST( wall_flags_0(k,nyn+1,i), 1 ) )
	1434	v(k,nyn+1,i) = ( v(k,nyn+1,i) + dist_xz(k,i,1) ) &
	1435	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1436	BTEST( wall_flags_0(k,nyn+1,i), 2 ) )
	1437	w(k,nyn+1,i) = ( w(k,nyn+1,i) + dist_xz(k,i,1) ) &
	1438	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1439	BTEST( wall_flags_0(k,nyn+1,i), 3 ) )
[2938]	1440	ENDDO
	1441	ENDDO
	1442	ENDIF
[2259]	1443	ENDIF
	1444
	1445	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	1446
	1447	END SUBROUTINE stg_main
	1448
	1449	!------------------------------------------------------------------------------!
	1450	! Description:
	1451	! ------------
	1452	!> Generate a set of random number rand_it wich is equal on each PE
	1453	!> and calculate the velocity seed f_n.
	1454	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
	1455	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1456	!> parts are collected to form the full array.
	1457	!------------------------------------------------------------------------------!
[2938]	1458	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
[2259]	1459
	1460
	1461	USE indices, &
	1462	ONLY: ny
	1463
	1464	IMPLICIT NONE
	1465
[2938]	1466	INTEGER(iwp) :: id !< core ids at respective boundaries
[2259]	1467	INTEGER(iwp) :: j !< loop index in y-direction
	1468	INTEGER(iwp) :: jj !< loop index in y-direction
	1469	INTEGER(iwp) :: k !< loop index in z-direction
	1470	INTEGER(iwp) :: kk !< loop index in z-direction
	1471	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1472
	1473	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
	1474	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1475	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
	1476	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1477
	1478	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
	1479	REAL(wp) :: rand_av !< average of random number
	1480	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1481
	1482	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
	1483	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
[2938]	1484	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
[2259]	1485	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
	1486	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1487
	1488
	1489	!
	1490	!-- Generate random numbers using a seed generated in stg_init.
	1491	!-- The set of random numbers are modified to have an average of 0 and
	1492	!-- unit variance.
	1493	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
	1494
	1495	rand_av = 0.0_wp
	1496	rand_sigma_inv = 0.0_wp
	1497	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
	1498
	1499	DO j = 0, ny
	1500	DO k = nzb, nzt+1
	1501	CALL RANDOM_NUMBER( rand_it(k,j) )
	1502	rand_av = rand_av + rand_it(k,j)
	1503	ENDDO
	1504	ENDDO
	1505
	1506	rand_av = rand_av * nyz_inv
	1507
	1508	DO j = 0, ny
	1509	DO k = nzb, nzt+1
	1510	rand_it(k,j) = rand_it(k,j) - rand_av
	1511	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
	1512	ENDDO
	1513	ENDDO
	1514
	1515	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
	1516
	1517	DO j = 0, ny
	1518	DO k = nzb, nzt+1
	1519	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
	1520	ENDDO
	1521	ENDDO
	1522
	1523	!
	1524	!-- Periodic fill of random number in space
	1525	DO j = 0, ny
	1526	DO k = 1, mergp
	1527	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
	1528	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
	1529	ENDDO
	1530	ENDDO
	1531	DO j = 1, mergp
	1532	DO k = nzb-mergp, nzt+1+mergp
	1533	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
	1534	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
	1535	ENDDO
	1536	ENDDO
	1537
	1538	!
	1539	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1540	n_y2 = n_y * 2
	1541	n_z2 = n_z * 2
	1542	f_n_l = 0.0_wp
	1543
	1544	DO j = nysg, nyng
[2938]	1545	DO k = nzb_x_stg, nzt_x_stg+1
[2259]	1546	DO jj = -n_y2(k), n_y2(k)
	1547	DO kk = -n_z2(k), n_z2(k)
	1548	f_n_l(k,j) = f_n_l(k,j) &
	1549	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
	1550	ENDDO
	1551	ENDDO
	1552	ENDDO
	1553	ENDDO
	1554
	1555	DEALLOCATE( rand_it )
	1556	!
	1557	!-- Gather velocity seeds of full subdomain
[2938]	1558	send_count = nzt_x_stg - nzb_x_stg + 1
	1559	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
[2259]	1560
	1561	#if defined( __parallel )
[2945]	1562	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
	1563	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
[2938]	1564	id, comm1dx, ierr )
[2259]	1565	#else
[2938]	1566	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
[2259]	1567	#endif
	1568
	1569
	1570	END SUBROUTINE stg_generate_seed_yz
	1571
[2938]	1572
	1573
	1574
	1575	!------------------------------------------------------------------------------!
	1576	! Description:
	1577	! ------------
	1578	!> Generate a set of random number rand_it wich is equal on each PE
	1579	!> and calculate the velocity seed f_n.
	1580	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
	1581	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1582	!> parts are collected to form the full array.
	1583	!------------------------------------------------------------------------------!
	1584	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
	1585
	1586
	1587	USE indices, &
	1588	ONLY: nx
	1589
	1590
	1591	IMPLICIT NONE
	1592
	1593	INTEGER(iwp) :: id !< core ids at respective boundaries
	1594	INTEGER(iwp) :: i !< loop index in x-direction
	1595	INTEGER(iwp) :: ii !< loop index in x-direction
	1596	INTEGER(iwp) :: k !< loop index in z-direction
	1597	INTEGER(iwp) :: kk !< loop index in z-direction
	1598	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1599
	1600	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
	1601	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1602	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
	1603	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1604
	1605	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
	1606	REAL(wp) :: rand_av !< average of random number
	1607	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1608
	1609	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
	1610	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
	1611	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
	1612	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
	1613	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1614
	1615
	1616	!
	1617	!-- Generate random numbers using a seed generated in stg_init.
	1618	!-- The set of random numbers are modified to have an average of 0 and
	1619	!-- unit variance.
	1620	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
	1621
	1622	rand_av = 0.0_wp
	1623	rand_sigma_inv = 0.0_wp
	1624	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
	1625
	1626	DO i = 0, nx
	1627	DO k = nzb, nzt+1
	1628	CALL RANDOM_NUMBER( rand_it(k,i) )
	1629	rand_av = rand_av + rand_it(k,i)
	1630	ENDDO
	1631	ENDDO
	1632
	1633	rand_av = rand_av * nxz_inv
	1634
	1635	DO i = 0, nx
	1636	DO k = nzb, nzt+1
	1637	rand_it(k,i) = rand_it(k,i) - rand_av
	1638	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
	1639	ENDDO
	1640	ENDDO
	1641
	1642	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
	1643
	1644	DO i = 0, nx
	1645	DO k = nzb, nzt+1
	1646	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
	1647	ENDDO
	1648	ENDDO
	1649
	1650	!
	1651	!-- Periodic fill of random number in space
	1652	DO i = 0, nx
	1653	DO k = 1, mergp
	1654	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
	1655	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
	1656	ENDDO
	1657	ENDDO
	1658	DO i = 1, mergp
	1659	DO k = nzb-mergp, nzt+1+mergp
	1660	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
	1661	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
	1662	ENDDO
	1663	ENDDO
	1664
	1665	!
	1666	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1667	n_x2 = n_x * 2
	1668	n_z2 = n_z * 2
	1669	f_n_l = 0.0_wp
	1670
	1671	DO i = nxlg, nxrg
	1672	DO k = nzb_y_stg, nzt_y_stg+1
	1673	DO ii = -n_x2(k), n_x2(k)
	1674	DO kk = -n_z2(k), n_z2(k)
	1675	f_n_l(k,i) = f_n_l(k,i) &
	1676	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
	1677	ENDDO
	1678	ENDDO
	1679	ENDDO
	1680	ENDDO
	1681
	1682	DEALLOCATE( rand_it )
	1683
	1684	!
	1685	!-- Gather velocity seeds of full subdomain
	1686	send_count = nzt_y_stg - nzb_y_stg + 1
	1687	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
	1688
	1689
	1690	#if defined( __parallel )
[2945]	1691	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
[2938]	1692	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
	1693	id, comm1dy, ierr )
	1694	#else
	1695	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
	1696	#endif
	1697
	1698
	1699	END SUBROUTINE stg_generate_seed_xz
	1700
[2259]	1701	END MODULE synthetic_turbulence_generator_mod

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