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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3039

Last change on this file since 3039 was 3038, checked in by gronemeier, 7 years ago
updated variable description
Property svn:keywords set to `Id`
File size: 61.7 KB

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

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