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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 2945

Last change on this file since 2945 was 2945, checked in by suehring, 6 years ago
Bugfix in parallelization of synthetic turbulence generator; revision in control mimic of synthetic turbulence generator in case of RAN-LES nesting; checks for dynamic input file added; control mimic for topography input slightly revised.
Property svn:keywords set to `Id`
File size: 61.2 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 2945 2018-04-04 16:27:14Z suehring $
[2945]	27	! - Bugfix in parallelization of synthetic turbulence generator in case the
	28	! z-dimension is not an integral divisor of the number of processors along
	29	! the x- and y-dimension
	30	! - Revision in control mimic in case of RAN-LES nesting
	31	!
	32	! 2938 2018-03-27 15:52:42Z suehring
[2938]	33	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
	34	! realistic Inifor large-scale forcing or RANS-LES nesting
	35	!
	36	! 2936 2018-03-27 14:49:27Z suehring
[2894]	37	! variable named found has been introduced for checking if restart data was found,
	38	! reading of restart strings has been moved completely to read_restart_data_mod,
	39	! redundant skipping function has been removed, stg_read/write_restart_data
	40	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
	41	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
	42	! *** have been removed (Giersch), strings and their respective lengths are
	43	! written out and read now in case of restart runs to get rid of prescribed
	44	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
	45	!
	46	! 2841 2018-02-27 15:02:57Z suehring
[2841]	47	! Bugfix: wrong placement of include 'mpif.h' corrected
	48	!
	49	! 2836 2018-02-26 13:40:05Z Giersch
[2836]	50	! The variables synthetic_turbulence_generator and
	51	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
	52	! flag is used to define if module related parameters were outputted as restart
	53	! data
[2776]	54	!
	55	! 2716 2017-12-29 16:35:59Z kanani
[2716]	56	! Corrected "Former revisions" section
	57	!
	58	! 2696 2017-12-14 17:12:51Z kanani
	59	! Change in file header (GPL part)
	60	!
	61	! 2669 2017-12-06 16:03:27Z raasch
[2669]	62	! unit number for file containing turbulence generator data changed to 90
	63	! bugfix: preprocessor directives added for MPI specific code
	64	!
	65	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	66	! Definition of a new function called stg_skip_global to skip module
[2576]	67	! parameters during reading restart data
	68	!
	69	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	70	! stg_read_restart_data is called in stg_parin in the case of a restart run
	71	!
	72	! 2259 2017-06-08 09:09:11Z gronemeier
[2259]	73	! Initial revision
	74	!
	75	!
	76	!
	77	! Authors:
	78	! --------
	79	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
	80	!
	81	!
	82	! Description:
	83	! ------------
	84	!> The module generates turbulence at the inflow boundary based on a method by
	85	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
	86	!> correction by Kim et al. (2013).
	87	!> The turbulence is correlated based on length scales in y- and z-direction and
	88	!> a time scale for each velocity component. The profiles of length and time
	89	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
	90	!> tensor are read from file STG_PROFILES.
	91	!>
	92	!> @todo test restart
	93	!> enable cyclic_fill
	94	!> implement turbulence generation for e and pt
[2945]	95	!> @todo Input of height-constant length scales via namelist
[2259]	96	!> @note <Enter notes on the module>
	97	!> @bug Height information from input file is not used. Profiles from input
	98	!> must match with current PALM grid.
	99	!> Transformation of length scales to number of gridpoints does not
	100	!> consider grid stretching.
	101	!> In case of restart, velocity seeds differ from precursor run if a11,
	102	!> a22, or a33 are zero.
	103	!------------------------------------------------------------------------------!
	104	MODULE synthetic_turbulence_generator_mod
	105
	106
	107	USE arrays_3d, &
	108	ONLY: mean_inflow_profiles, u, v, w
	109
	110	USE constants, &
	111	ONLY: pi
	112
	113	USE control_parameters, &
[2938]	114	ONLY: initializing_actions, message_string, syn_turb_gen
[2259]	115
	116	USE cpulog, &
	117	ONLY: cpu_log, log_point, log_point_s
	118
	119	USE indices, &
[2938]	120	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
[2259]	121
	122	USE kinds
	123
[2841]	124	#if !defined( __mpifh )
[2259]	125	USE MPI
[2841]	126	#endif
[2259]	127
	128	USE pegrid, &
[2938]	129	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
[2259]	130
	131	USE transpose_indices, &
	132	ONLY: nzb_x, nzt_x
	133
	134
	135	IMPLICIT NONE
	136
[2841]	137	#if defined( __mpifh )
	138	INCLUDE "mpif.h"
	139	#endif
	140
[2776]	141	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
	142	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
[2259]	143
[2938]	144	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
	145	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
	146	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
	147	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
	148	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
	149	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
	150	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
	151	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
	152	INTEGER(iwp) :: merg !< maximum length scale (in gp)
	153	INTEGER(iwp) :: mergp !< merg + nbgp
	154	INTEGER(iwp) :: nzb_x_stg !<
	155	INTEGER(iwp) :: nzt_x_stg !<
	156	INTEGER(iwp) :: nzb_y_stg !<
	157	INTEGER(iwp) :: nzt_y_stg !<
[2259]	158
	159	REAL(wp) :: mc_factor !< mass flux correction factor
	160
[2938]	161	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
	162	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
	163	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
	164	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
	165	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
	166	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
	167	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
	168	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
	169	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
	170	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
	171	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
	172	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
	173	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
[2259]	174
	175	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
	176
	177	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
	178	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
	179	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
	180	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
	181	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
	182	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
	183	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
	184	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
	185	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
	186
[2938]	187	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
[2259]	188	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
	189	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
[2938]	190	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
[2259]	191	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
	192	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
[2938]	193	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
[2259]	194	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
	195	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
[2938]	196	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
	197	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
	198	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
	199	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
	200	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
	201	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
	202	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
	203	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
	204	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
	205	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
	206	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
	207	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
[2259]	208
	209
	210	!
	211	!-- PALM interfaces:
	212	!-- Input parameter checks to be done in check_parameters
	213	INTERFACE stg_check_parameters
	214	MODULE PROCEDURE stg_check_parameters
	215	END INTERFACE stg_check_parameters
	216
	217	!
	218	!-- Calculate filter functions
	219	INTERFACE stg_filter_func
	220	MODULE PROCEDURE stg_filter_func
	221	END INTERFACE stg_filter_func
	222
	223	!
[2938]	224	!-- Generate velocity seeds at south and north domain boundary
	225	INTERFACE stg_generate_seed_xz
	226	MODULE PROCEDURE stg_generate_seed_xz
	227	END INTERFACE stg_generate_seed_xz
	228	!
	229	!-- Generate velocity seeds at left and/or right domain boundary
[2259]	230	INTERFACE stg_generate_seed_yz
	231	MODULE PROCEDURE stg_generate_seed_yz
	232	END INTERFACE stg_generate_seed_yz
	233
	234	!
	235	!-- Output of information to the header file
	236	INTERFACE stg_header
	237	MODULE PROCEDURE stg_header
	238	END INTERFACE stg_header
	239
	240	!
	241	!-- Initialization actions
	242	INTERFACE stg_init
	243	MODULE PROCEDURE stg_init
	244	END INTERFACE stg_init
	245
	246	!
	247	!-- Main procedure of synth. turb. gen.
	248	INTERFACE stg_main
	249	MODULE PROCEDURE stg_main
	250	END INTERFACE stg_main
	251
	252	!
	253	!-- Reading of NAMELIST parameters
	254	INTERFACE stg_parin
	255	MODULE PROCEDURE stg_parin
	256	END INTERFACE stg_parin
	257
	258	!
	259	!-- Reading of parameters for restart runs
[2894]	260	INTERFACE stg_rrd_global
	261	MODULE PROCEDURE stg_rrd_global
	262	END INTERFACE stg_rrd_global
[2259]	263
	264	!
	265	!-- Writing of binary output for restart runs
[2894]	266	INTERFACE stg_wrd_global
	267	MODULE PROCEDURE stg_wrd_global
	268	END INTERFACE stg_wrd_global
[2259]	269
	270	SAVE
	271
	272	PRIVATE
	273
	274	!
	275	!-- Public interfaces
	276	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
[2894]	277	stg_wrd_global, stg_rrd_global
[2259]	278
	279	!
	280	!-- Public variables
[2938]	281	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	282	use_syn_turb_gen
[2259]	283
	284
	285	CONTAINS
	286
	287
	288	!------------------------------------------------------------------------------!
	289	! Description:
	290	! ------------
	291	!> Check parameters routine for synthetic turbulence generator
	292	!------------------------------------------------------------------------------!
	293	SUBROUTINE stg_check_parameters
	294
	295
	296	USE control_parameters, &
[2938]	297	ONLY: bc_lr, bc_ns, forcing, nest_domain, rans_mode, turbulent_inflow
[2259]	298
[2938]	299	USE pmc_interface, &
	300	ONLY : rans_mode_parent
[2259]	301
[2938]	302
[2259]	303	IMPLICIT NONE
	304
[2938]	305	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. forcing ) THEN
	306	message_string = 'Synthetic turbulence generator has to be applied ' // &
	307	'when forcing is used and model operates in LES mode.'
	308	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	309	ENDIF
	310
	311	IF ( .NOT. use_syn_turb_gen .AND. nest_domain &
	312	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
	313	message_string = 'Synthetic turbulence generator has to be applied ' // &
	314	'when nesting is applied and parent operates in ' // &
	315	'RANS-mode but current child in LES mode.'
	316	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	317	ENDIF
	318
[2776]	319	IF ( use_syn_turb_gen ) THEN
[2259]	320
[2938]	321	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
	322
	323	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
	324	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
	325	message_string = 'Using synthetic turbulence generator ' // &
	326	'requires &initializing_actions = ' // &
	327	'"set_constant_profiles" or "read_restart_data"'
	328	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
	329	ENDIF
	330
	331	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
	332	message_string = 'Using synthetic turbulence generator ' // &
	333	'requires &bc_lr = "dirichlet/radiation"'
	334	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
	335	ENDIF
	336	IF ( bc_ns /= 'cyclic' ) THEN
	337	message_string = 'Using synthetic turbulence generator ' // &
	338	'requires &bc_ns = "cyclic"'
	339	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
	340	ENDIF
	341
[2259]	342	ENDIF
	343
	344	IF ( turbulent_inflow ) THEN
	345	message_string = 'Using synthetic turbulence generator ' // &
[2938]	346	'in combination &with turbulent_inflow = .T. '// &
	347	'is not allowed'
[2259]	348	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
	349	ENDIF
	350
	351	ENDIF
	352
	353	END SUBROUTINE stg_check_parameters
	354
	355
	356	!------------------------------------------------------------------------------!
	357	! Description:
	358	! ------------
	359	!> Header output for synthetic turbulence generator
	360	!------------------------------------------------------------------------------!
	361	SUBROUTINE stg_header ( io )
	362
	363
	364	IMPLICIT NONE
	365
	366	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	367
	368	!
	369	!-- Write synthetic turbulence generator Header
	370	WRITE( io, 1 )
[2776]	371	IF ( use_syn_turb_gen ) THEN
[2259]	372	WRITE( io, 2 )
	373	ELSE
	374	WRITE( io, 3 )
	375	ENDIF
	376
	377	1 FORMAT (//' Synthetic turbulence generator information:'/ &
	378	' ------------------------------------------'/)
	379	2 FORMAT (' synthetic turbulence generator switched on')
	380	3 FORMAT (' synthetic turbulence generator switched off')
	381
	382	END SUBROUTINE stg_header
	383
	384
	385	!------------------------------------------------------------------------------!
	386	! Description:
	387	! ------------
	388	!> Initialization of the synthetic turbulence generator
	389	!------------------------------------------------------------------------------!
	390	SUBROUTINE stg_init
	391
	392
	393	USE arrays_3d, &
[2938]	394	ONLY: ddzw, u_init, v_init, zu
[2259]	395
	396	USE control_parameters, &
[2945]	397	ONLY: coupling_char, dz, e_init, forcing, nest_domain, rans_mode
[2259]	398
	399	USE grid_variables, &
[2938]	400	ONLY: ddx, ddy
[2259]	401
[2938]	402	USE indices, &
	403	ONLY: nz
[2259]	404
[2945]	405	USE pmc_interface, &
	406	ONLY : rans_mode_parent
[2938]	407
[2945]	408
[2259]	409	IMPLICIT NONE
	410
[2938]	411	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
	412
[2669]	413	#if defined( __parallel )
[2259]	414	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
	415	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
[2669]	416	#endif
[2259]	417
[2938]	418	INTEGER(iwp) :: i !> grid index in x-direction
[2259]	419	INTEGER(iwp) :: j !> loop index
	420	INTEGER(iwp) :: k !< index
	421	INTEGER(iwp) :: newtype !< dummy MPI type
	422	INTEGER(iwp) :: realsize !< size of REAL variables
	423	INTEGER(iwp) :: nseed !< dimension of random number seed
	424	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
	425
	426	!
	427	!-- Dummy variables used for reading profiles
	428	REAL(wp) :: d1 !< u profile
	429	REAL(wp) :: d2 !< v profile
	430	REAL(wp) :: d3 !< w profile
	431	REAL(wp) :: d5 !< e profile
	432	REAL(wp) :: d11 !< vertical interpolation for a11
	433	REAL(wp) :: d21 !< vertical interpolation for a21
	434	REAL(wp) :: d22 !< vertical interpolation for a22
[2938]	435	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
[2259]	436	REAL(wp) :: luy !< length scale for u in y direction
	437	REAL(wp) :: luz !< length scale for u in z direction
	438	REAL(wp) :: lvy !< length scale for v in y direction
	439	REAL(wp) :: lvz !< length scale for v in z direction
	440	REAL(wp) :: lwy !< length scale for w in y direction
	441	REAL(wp) :: lwz !< length scale for w in z direction
[2945]	442	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
[2259]	443	REAL(wp) :: zz !< height
	444
[2938]	445	REAL(wp) :: length_scale_surface, r_ii_0, time_scale, length_scale_z
	446
[2259]	447	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
	448	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
	449	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
	450	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
	451	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
	452	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
	453
	454
	455	#if defined( __parallel )
	456	CALL MPI_BARRIER( comm2d, ierr )
	457	#endif
	458
	459	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	460
	461	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
	462	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
	463
	464	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
	465	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
[2938]	466	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
	467	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
	468	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
[2259]	469	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
	470
[2669]	471	#if defined( __parallel )
[2259]	472	!
[2938]	473	!-- Determine processor decomposition of z-axis along x- and y-direction
	474	nnz = nz / pdims(1)
[2945]	475	nzb_x_stg = 1 + myidx * INT( nnz )
	476	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
[2938]	477
	478	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
[2945]	479	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
	480	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
[2938]	481
[2945]	482	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	483	.NOT. rans_mode ) ) THEN
[2938]	484	nnz = nz / pdims(2)
[2945]	485	nzb_y_stg = 1 + myidy * INT( nnz )
	486	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
[2938]	487
[2945]	488	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
	489	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
	490	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
[2938]	491	ENDIF
	492
	493	!
[2259]	494	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
	495	!-- velocity seeds
	496	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
	497	extent = 1 * realsize
[2938]	498	!
	499	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
	500	!-- layer
	501	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
[2259]	502	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
	503	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	504	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
	505	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
	506	CALL MPI_TYPE_FREE( newtype, ierr )
	507
[2938]	508	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	509	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
[2259]	510	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	511	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
	512	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
	513	CALL MPI_TYPE_FREE( newtype, ierr )
	514
	515	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
[2938]	516	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
[2259]	517
[2938]	518	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
	519	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
[2259]	520
	521	DO j = 1, pdims(1)
[2938]	522	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
[2259]	523	ENDDO
[2938]	524	!
	525	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
	526	!-- layer
	527	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
[2945]	528	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	529	.NOT. rans_mode ) ) THEN
	530	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
[2938]	531	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	532	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
	533	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
	534	CALL MPI_TYPE_FREE( newtype, ierr )
	535
	536	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	537	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
[2938]	538	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	539	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
	540	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
	541	CALL MPI_TYPE_FREE( newtype, ierr )
	542
	543	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
	544	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
	545
	546	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
	547	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
	548
	549	DO j = 1, pdims(2)
	550	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
	551	ENDDO
	552
	553	ENDIF
	554
[2669]	555	#endif
[2259]	556	!
	557	!-- Define seed of random number
	558	CALL RANDOM_SEED()
	559	CALL RANDOM_SEED( size=nseed )
	560	ALLOCATE( seed(1:nseed) )
	561	DO j = 1, nseed
	562	seed(j) = startseed + j
	563	ENDDO
	564	CALL RANDOM_SEED(put=seed)
	565
	566	!-- Read inflow profile
	567	!-- Height levels of profiles in input profile is as follows:
	568	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
	569	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
	570	!-- WARNING: zz is not used at the moment
[2938]	571	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
	572	EXIST = file_stg_exist )
[2259]	573
[2938]	574	IF ( file_stg_exist ) THEN
[2259]	575
[2938]	576	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
	577	FORM='FORMATTED')
	578	!
	579	!-- Skip header
	580	READ( 90, * )
[2259]	581
[2938]	582	DO k = nzb, nzt+1
	583	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
	584	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
	585	d1, d2, d3, d5
	586
[2259]	587	!
[2938]	588	!-- Convert length scales from meter to number of grid points
	589	nuy(k) = INT( luy * ddy )
	590	nuz(k) = INT( luz / dz )
	591	nvy(k) = INT( lvy * ddy )
	592	nvz(k) = INT( lvz / dz )
	593	nwy(k) = INT( lwy * ddy )
	594	nwz(k) = INT( lwz / dz )
	595	!
	596	!-- Workaround, assume isotropic turbulence
	597	nwx(k) = nwy(k)
	598	nvx(k) = nvy(k)
	599	nux(k) = nuy(k)
	600	!
	601	!-- Save Mean inflow profiles
	602	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	603	mean_inflow_profiles(k,1) = d1
	604	mean_inflow_profiles(k,2) = d2
	605	! mean_inflow_profiles(k,4) = d4
	606	mean_inflow_profiles(k,5) = d5
	607	ENDIF
	608	ENDDO
[2259]	609
[2938]	610	CLOSE( 90 )
	611
	612	ELSE
[2259]	613	!
[2938]	614	!-- Set-up defaul length scales. Assume exponentially decreasing length
	615	!-- scales and isotropic turbulence.
[2945]	616	!-- Typical length (time) scales of 100 m (s) should be a good compromise
[2938]	617	!-- between all stratrifications. Near-surface variances are fixed to
	618	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
	619	!-- Vertical fluxes
	620	length_scale_surface = 100.0_wp
	621	r_ii_0 = 0.1_wp
	622	time_scale = 100.0_wp
	623	DO k = nzb+1, nzt+1
	624	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
	625	0.0_wp, &
	626	zu(k) > 0.3 * zu(nzt) &
	627	)
	628	length_scale_z = length_scale_surface * EXP( dum_exp )
[2259]	629
[2938]	630	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
	631	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	632	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	633	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	634	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	635	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	636	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	637	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	638	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
[2259]	639
[2938]	640	r11(k) = r_ii_0 * EXP( dum_exp )
	641	r22(k) = r_ii_0 * EXP( dum_exp )
	642	r33(k) = r_ii_0 * EXP( dum_exp )
[2259]	643
[2938]	644	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	645	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	646	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	647
	648	tu(k) = time_scale
	649	tv(k) = time_scale
	650	tw(k) = time_scale
	651
	652	ENDDO
	653	nux(nzb) = nux(nzb+1)
	654	nuy(nzb) = nuy(nzb+1)
	655	nuz(nzb) = nuz(nzb+1)
	656	nvx(nzb) = nvx(nzb+1)
	657	nvy(nzb) = nvy(nzb+1)
	658	nvz(nzb) = nvz(nzb+1)
	659	nwx(nzb) = nwx(nzb+1)
	660	nwy(nzb) = nwy(nzb+1)
	661	nwz(nzb) = nwz(nzb+1)
	662
	663	r11(nzb) = r11(nzb+1)
	664	r22(nzb) = r22(nzb+1)
	665	r33(nzb) = r33(nzb+1)
	666
	667	r21(nzb) = r11(nzb+1)
	668	r31(nzb) = r31(nzb+1)
	669	r32(nzb) = r32(nzb+1)
	670
	671	tu(nzb) = time_scale
	672	tv(nzb) = time_scale
	673	tw(nzb) = time_scale
	674
	675	ENDIF
	676
[2259]	677	!
[2938]	678	!-- Assign initial profiles
	679	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
	680	u_init = mean_inflow_profiles(:,1)
	681	v_init = mean_inflow_profiles(:,2)
	682	!pt_init = mean_inflow_profiles(:,4)
	683	e_init = MAXVAL( mean_inflow_profiles(:,5) )
	684	ENDIF
	685	!
[2259]	686	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
	687	DO k = nzb, nzt+1
	688	IF ( r11(k) > 0.0_wp ) THEN
	689	a11(k) = SQRT( r11(k) )
	690	a21(k) = r21(k) / a11(k)
	691	ELSE
	692	a11(k) = 0.0_wp
	693	a21(k) = 0.0_wp
	694	ENDIF
	695
	696	a22(k) = r22(k) - a21(k)**2
	697	IF ( a22(k) > 0.0_wp ) THEN
	698	a22(k) = SQRT( a22(k) )
	699	a32(k) = ( r32(k) - a21(k) * a31(k) ) / a22(k)
	700	ELSE
	701	a22(k) = 0.0_wp
	702	a32(k) = 0.0_wp
	703	ENDIF
	704
	705	!
	706	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
	707	!-- d21, d22) because of different vertical grid
	708	IF ( k .le. nzt ) THEN
	709	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
	710	IF ( d11 > 0.0_wp ) THEN
	711	d11 = SQRT( d11 )
	712	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
	713	a31(k) = r31(k) / d11
	714	ELSE
	715	d21 = 0.0_wp
	716	a31(k) = 0.0_wp
	717	ENDIF
	718
	719	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
	720	IF ( d22 > 0.0_wp ) THEN
	721	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
	722	ELSE
	723	a32(k) = 0.0_wp
	724	ENDIF
	725
	726	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
	727	IF ( a33(k) > 0.0_wp ) THEN
	728	a33(k) = SQRT( a33(k) )
	729	ELSE
	730	a33(k) = 0.0_wp
	731	ENDIF
	732	ELSE
	733	a31(k) = a31(k-1)
	734	a32(k) = a32(k-1)
	735	a33(k) = a33(k-1)
	736	ENDIF
	737
	738	ENDDO
	739	!
	740	!-- Define the size of the filter functions and allocate them.
	741	merg = 0
	742
	743	! arrays must be large enough to cover the largest length scale
	744	DO k = nzb, nzt+1
[2938]	745	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
	746	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
	747	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
[2259]	748	IF ( j > merg ) merg = j
	749	ENDDO
	750
	751	merg = 2 * merg
	752	mergp = merg + nbgp
	753
[2938]	754	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
	755	buy(-merg:merg,nzb:nzt+1), &
	756	buz(-merg:merg,nzb:nzt+1), &
	757	bvx(-merg:merg,nzb:nzt+1), &
	758	bvy(-merg:merg,nzb:nzt+1), &
	759	bvz(-merg:merg,nzb:nzt+1), &
	760	bwx(-merg:merg,nzb:nzt+1), &
	761	bwy(-merg:merg,nzb:nzt+1), &
	762	bwz(-merg:merg,nzb:nzt+1) )
[2259]	763
	764	!
[2938]	765	!-- Allocate velocity seeds for turbulence at xz-layer
	766	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
	767	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
	768	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
[2259]	769
[2938]	770	!
	771	!-- Allocate velocity seeds for turbulence at yz-layer
	772	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
	773	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
	774	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
[2259]	775
[2938]	776	fu_xz = 0.0_wp
	777	fuo_xz = 0.0_wp
	778	fv_xz = 0.0_wp
	779	fvo_xz = 0.0_wp
	780	fw_xz = 0.0_wp
	781	fwo_xz = 0.0_wp
	782
	783	fu_yz = 0.0_wp
	784	fuo_yz = 0.0_wp
	785	fv_yz = 0.0_wp
	786	fvo_yz = 0.0_wp
	787	fw_yz = 0.0_wp
	788	fwo_yz = 0.0_wp
	789
[2259]	790	!
	791	!-- Create filter functions
[2938]	792	CALL stg_filter_func( nux, bux ) !filter ux
[2259]	793	CALL stg_filter_func( nuy, buy ) !filter uy
	794	CALL stg_filter_func( nuz, buz ) !filter uz
[2938]	795	CALL stg_filter_func( nvx, bvx ) !filter vx
[2259]	796	CALL stg_filter_func( nvy, bvy ) !filter vy
	797	CALL stg_filter_func( nvz, bvz ) !filter vz
[2938]	798	CALL stg_filter_func( nwx, bwx ) !filter wx
[2259]	799	CALL stg_filter_func( nwy, bwy ) !filter wy
	800	CALL stg_filter_func( nwz, bwz ) !filter wz
	801
	802	#if defined( __parallel )
	803	CALL MPI_BARRIER( comm2d, ierr )
	804	#endif
	805
	806	!
[2938]	807	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
	808	! time step.
	809	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
	810	! are 0 compared to the prerun. This is mostly for k=nzt+1.
[2259]	811	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
[2938]	812	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
	813
	814	IF ( myidx == id_stg_left ) i = -1
	815	IF ( myidx == id_stg_right ) i = nxr+1
	816
[2259]	817	DO j = nysg, nyng
	818	DO k = nzb, nzt+1
	819
	820	IF ( a11(k) .NE. 0._wp ) THEN
[2938]	821	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
[2259]	822	ELSE
[2938]	823	fu_yz(k,j) = 0._wp
[2259]	824	ENDIF
	825
	826	IF ( a22(k) .NE. 0._wp ) THEN
[2938]	827	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
	828	v_init(k) ) / a22(k)
[2259]	829	ELSE
[2938]	830	fv_yz(k,j) = 0._wp
[2259]	831	ENDIF
	832
	833	IF ( a33(k) .NE. 0._wp ) THEN
[2938]	834	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
	835	a32(k) * fv_yz(k,j) ) / a33(k)
[2259]	836	ELSE
[2938]	837	fw_yz = 0._wp
[2259]	838	ENDIF
	839
	840	ENDDO
	841	ENDDO
	842	ENDIF
	843	ENDIF
	844
	845	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	846
	847	END SUBROUTINE stg_init
	848
	849
	850	!------------------------------------------------------------------------------!
	851	! Description:
	852	! ------------
	853	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
	854	!> (Xie and Castro, 2008)
	855	!------------------------------------------------------------------------------!
	856	SUBROUTINE stg_filter_func( nxx, bxx )
	857
	858
	859	IMPLICIT NONE
	860
	861	INTEGER(iwp) :: k !< loop index
	862	INTEGER(iwp) :: n_k !< length scale nXX in height k
	863	INTEGER(iwp) :: n_k2 !< n_k * 2
	864	INTEGER(iwp) :: nf !< index for length scales
	865
	866	REAL(wp) :: bdenom !< denominator for filter functions bXX
	867	REAL(wp) :: qsi = 1.0_wp !< minimization factor
	868
	869	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
	870
	871	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
	872
	873
	874	bxx = 0.0_wp
	875
	876	DO k = nzb, nzt+1
	877	bdenom = 0.0_wp
	878	n_k = nxx(k)
	879	IF ( n_k /= 0 ) THEN
	880	n_k2 = n_k * 2
	881
	882	!
	883	!-- ( Eq.10 )^2
	884	DO nf = -n_k2, n_k2
	885	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
	886	ENDDO
	887
	888	!
	889	!-- ( Eq.9 )
	890	bdenom = SQRT( bdenom )
	891	DO nf = -n_k2, n_k2
	892	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
	893	ENDDO
	894	ENDIF
	895	ENDDO
	896
	897	END SUBROUTINE stg_filter_func
	898
	899
	900	!------------------------------------------------------------------------------!
	901	! Description:
	902	! ------------
	903	!> Parin for &stg_par for synthetic turbulence generator
	904	!------------------------------------------------------------------------------!
	905	SUBROUTINE stg_parin
	906
	907
	908	IMPLICIT NONE
	909
	910	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	911
	912
[2776]	913	NAMELIST /stg_par/ use_syn_turb_gen
[2259]	914
	915	line = ' '
	916
	917	!
	918	!-- Try to find stg package
	919	REWIND ( 11 )
	920	line = ' '
	921	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
	922	READ ( 11, '(A)', END=10 ) line
	923	ENDDO
	924	BACKSPACE ( 11 )
	925
	926	!
	927	!-- Read namelist
	928	READ ( 11, stg_par )
	929
	930	!
	931	!-- Set flag that indicates that the synthetic turbulence generator is switched
	932	!-- on
[2776]	933	syn_turb_gen = .TRUE.
[2259]	934
[2563]	935
[2259]	936	10 CONTINUE
	937
	938	END SUBROUTINE stg_parin
	939
	940
	941	!------------------------------------------------------------------------------!
	942	! Description:
	943	! ------------
[2894]	944	!> This routine reads the respective restart data.
[2576]	945	!------------------------------------------------------------------------------!
[2894]	946	SUBROUTINE stg_rrd_global( found )
[2576]	947
	948
[2894]	949	USE control_parameters, &
	950	ONLY: length, restart_string
[2576]	951
	952
[2894]	953	IMPLICIT NONE
[2576]	954
[2894]	955	LOGICAL, INTENT(OUT) :: found
[2259]	956
	957
[2894]	958	found = .TRUE.
	959
[2259]	960
[2894]	961	SELECT CASE ( restart_string(1:length) )
[2259]	962
[2894]	963	CASE ( 'mc_factor' )
	964	READ ( 13 ) mc_factor
	965	CASE ( 'use_syn_turb_gen' )
	966	READ ( 13 ) use_syn_turb_gen
[2259]	967
[2894]	968	CASE DEFAULT
[2259]	969
[2894]	970	found = .FALSE.
[2259]	971
[2894]	972	END SELECT
[2259]	973
	974
[2894]	975	END SUBROUTINE stg_rrd_global
[2259]	976
	977
	978	!------------------------------------------------------------------------------!
	979	! Description:
	980	! ------------
	981	!> This routine writes the respective restart data.
	982	!------------------------------------------------------------------------------!
[2894]	983	SUBROUTINE stg_wrd_global
[2259]	984
	985
	986	IMPLICIT NONE
	987
[2894]	988	CALL wrd_write_string( 'mc_factor' )
[2259]	989	WRITE ( 14 ) mc_factor
	990
[2894]	991	CALL wrd_write_string( 'use_syn_turb_gen' )
	992	WRITE ( 14 ) use_syn_turb_gen
[2259]	993
	994
[2894]	995	END SUBROUTINE stg_wrd_global
[2259]	996
[2894]	997
[2259]	998	!------------------------------------------------------------------------------!
	999	! Description:
	1000	! ------------
	1001	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
	1002	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
	1003	!> following suggestions of Kim et al. (2013), and using a Lund rotation
	1004	!> (Lund, 1998).
	1005	!------------------------------------------------------------------------------!
	1006	SUBROUTINE stg_main
	1007
	1008
	1009	USE arrays_3d, &
	1010	ONLY: dzw
	1011
	1012	USE control_parameters, &
[2938]	1013	ONLY: dt_3d, forcing, intermediate_timestep_count, nest_domain, &
[2945]	1014	rans_mode, simulated_time, volume_flow_initial
[2259]	1015
[2938]	1016	USE grid_variables, &
	1017	ONLY: dx, dy
	1018
[2259]	1019	USE indices, &
[2938]	1020	ONLY: wall_flags_0
[2259]	1021
	1022	USE statistics, &
	1023	ONLY: weight_substep
	1024
[2945]	1025	USE pmc_interface, &
	1026	ONLY : rans_mode_parent
[2259]	1027
[2945]	1028
[2259]	1029	IMPLICIT NONE
	1030
[2938]	1031	INTEGER(iwp) :: i !< grid index in x-direction
[2259]	1032	INTEGER(iwp) :: j !< loop index in y-direction
	1033	INTEGER(iwp) :: k !< loop index in z-direction
	1034
	1035	REAL(wp) :: dt_stg !< wheighted subtimestep
	1036	REAL(wp) :: mc_factor_l !< local mass flux correction factor
[2938]	1037	REAL(wp) :: volume_flow !< mass flux through lateral boundary
	1038	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
[2259]	1039
[2938]	1040	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
	1041	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
[2259]	1042
	1043
	1044	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	1045
	1046	!
	1047	!-- Calculate time step which is needed for filter functions
	1048	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
	1049
	1050	!
	1051	!-- Initial value of fu, fv, fw
	1052	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
[2938]	1053	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
	1054	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
	1055	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
	1056
[2945]	1057	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	1058	.NOT. rans_mode ) ) THEN
[2938]	1059	!
	1060	!-- Generate turbulence at right boundary
	1061	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
	1062	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
	1063	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
	1064	!
	1065	!-- Generate turbulence at north boundary
	1066	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
	1067	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
	1068	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
	1069	!
	1070	!-- Generate turbulence at south boundary
	1071	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
	1072	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
	1073	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
	1074	ENDIF
[2259]	1075	velocity_seed_initialized = .TRUE.
	1076	ENDIF
	1077	!
	1078	!-- New set of fu, fv, fw
[2938]	1079	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
	1080	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
	1081	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
[2259]	1082
[2945]	1083	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	1084	.NOT. rans_mode ) ) THEN
[2938]	1085	!
	1086	!-- Generate turbulence at right boundary
	1087	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
	1088	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
	1089	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
	1090	!
	1091	!-- Generate turbulence at north boundary
	1092	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
	1093	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
	1094	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
	1095	!
	1096	!-- Generate turbulence at south boundary
	1097	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
	1098	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
	1099	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
	1100	ENDIF
	1101	!
	1102	!-- Turbulence generation at left and or right boundary
	1103	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
[2259]	1104
	1105	DO j = nysg, nyng
	1106	DO k = nzb, nzt + 1
	1107	!
	1108	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1109	IF ( tu(k) == 0.0_wp ) THEN
[2938]	1110	fu_yz(k,j) = fuo_yz(k,j)
[2259]	1111	ELSE
[2938]	1112	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1113	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
[2259]	1114	ENDIF
	1115
	1116	IF ( tv(k) == 0.0_wp ) THEN
[2938]	1117	fv_yz(k,j) = fvo_yz(k,j)
[2259]	1118	ELSE
[2938]	1119	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1120	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
[2259]	1121	ENDIF
	1122
	1123	IF ( tw(k) == 0.0_wp ) THEN
[2938]	1124	fw_yz(k,j) = fwo_yz(k,j)
[2259]	1125	ELSE
[2938]	1126	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1127	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
[2259]	1128	ENDIF
	1129	!
	1130	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1131	!-- Additional factors are added to improve the variance of v and w
	1132	IF( k == 0 ) THEN
[2938]	1133	dist_yz(k,j,1) = 0.0_wp
	1134	dist_yz(k,j,2) = 0.0_wp
	1135	dist_yz(k,j,3) = 0.0_wp
	1136	! dist_yz(k,j,4) = 0.0_wp
	1137	! dist_yz(k,j,5) = 0.0_wp
[2259]	1138	ELSE
[2938]	1139	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
[2259]	1140	!experimental test of 1.2
[2945]	1141	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
[2259]	1142	* 1.2_wp ) &
[2945]	1143	* ( a21(k) * fu_yz(k,j) &
[2938]	1144	+ a22(k) * fv_yz(k,j) )
[2945]	1145	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
[2259]	1146	* 1.3_wp ) &
[2945]	1147	* ( a31(k) * fu_yz(k,j) &
	1148	+ a32(k) * fv_yz(k,j) &
[2938]	1149	+ a33(k) * fw_yz(k,j) )
[2259]	1150	! Calculation for pt and e not yet implemented
[2938]	1151	! dist_yz(k,j,4) = 0.0_wp
	1152	! dist_yz(k,j,5) = 0.0_wp
[2259]	1153	ENDIF
	1154
	1155	ENDDO
	1156	ENDDO
	1157
	1158	!
	1159	!-- Mass flux correction following Kim et al. (2013)
	1160	!-- This correction factor insures that the mass flux is preserved at the
	1161	!-- inflow boundary
[2938]	1162	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
	1163	mc_factor_l = 0.0_wp
	1164	mc_factor = 0.0_wp
	1165	DO j = nys, nyn
	1166	DO k = nzb+1, nzt
	1167	mc_factor_l = mc_factor_l + dzw(k) * &
	1168	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
	1169	ENDDO
[2259]	1170	ENDDO
	1171
	1172	#if defined( __parallel )
[2938]	1173	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1174	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
[2259]	1175	#else
[2938]	1176	mc_factor = mc_factor_l
[2259]	1177	#endif
	1178
[2938]	1179	mc_factor = volume_flow_initial(1) / mc_factor
[2259]	1180
	1181	!
[2938]	1182	!-- Add disturbance at the inflow
	1183	DO j = nysg, nyng
	1184	DO k = nzb, nzt+1
	1185	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
	1186	dist_yz(k,j,1) ) * mc_factor
	1187	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
	1188	dist_yz(k,j,2) ) * mc_factor
	1189	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
	1190	ENDDO
[2259]	1191	ENDDO
[2938]	1192
	1193	ELSE
	1194	!
	1195	!-- First, calculate volume flow at yz boundary
	1196	IF ( myidx == id_stg_left ) i = nxl
	1197	IF ( myidx == id_stg_right ) i = nxr+1
	1198
	1199	volume_flow_l = 0.0_wp
	1200	volume_flow = 0.0_wp
	1201	mc_factor_l = 0.0_wp
	1202	mc_factor = 0.0_wp
	1203	DO j = nys, nyn
	1204	DO k = nzb+1, nzt
	1205	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
	1206	* MERGE( 1.0_wp, 0.0_wp, &
	1207	BTEST( wall_flags_0(k,j,i), 1 ) )
	1208
	1209	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
	1210	* dzw(k) * dy &
	1211	* MERGE( 1.0_wp, 0.0_wp, &
	1212	BTEST( wall_flags_0(k,j,i), 1 ) )
	1213	ENDDO
	1214	ENDDO
	1215	#if defined( __parallel )
	1216	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
	1217	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1218	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1219	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1220	#else
	1221	volume_flow = volume_flow_l
	1222	mc_factor = mc_factor_l
	1223	#endif
	1224
	1225	mc_factor = volume_flow / mc_factor
	1226
	1227	!
	1228	!-- Add disturbances
	1229	IF ( myidx == id_stg_left ) THEN
	1230
	1231	DO j = nysg, nyng
	1232	DO k = nzb, nzt+1
	1233	u(k,j,-nbgp+1:0) = ( u(k,j,-nbgp+1:0) + dist_yz(k,j,1) ) &
	1234	* mc_factor
	1235	v(k,j,-nbgp:-1) = ( v(k,j,-nbgp:-1) + dist_yz(k,j,2) ) &
	1236	* mc_factor
	1237	w(k,j,-nbgp:-1) = ( w(k,j,-nbgp:-1) + dist_yz(k,j,3) ) &
	1238	* mc_factor
	1239	ENDDO
	1240	ENDDO
	1241	ENDIF
	1242	IF ( myidx == id_stg_right ) THEN
	1243
	1244	DO j = nysg, nyng
	1245	DO k = nzb, nzt+1
	1246	u(k,j,nxr+1:nxr+nbgp) = ( u(k,j,nxr+1:nxr+nbgp) + &
	1247	dist_yz(k,j,1) ) * mc_factor
	1248	v(k,j,nxr+1:nxr+nbgp) = ( v(k,j,nxr+1:nxr+nbgp) + &
	1249	dist_yz(k,j,2) ) * mc_factor
	1250	w(k,j,nxr+1:nxr+nbgp) = ( w(k,j,nxr+1:nxr+nbgp) + &
	1251	dist_yz(k,j,3) ) * mc_factor
	1252	ENDDO
	1253	ENDDO
	1254	ENDIF
	1255	ENDIF
	1256
	1257	ENDIF
	1258	!
	1259	!-- Turbulence generation at north and south boundary
	1260	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
	1261
	1262	DO i = nxlg, nxrg
	1263	DO k = nzb, nzt + 1
	1264	!
	1265	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1266	IF ( tu(k) == 0.0_wp ) THEN
	1267	fu_xz(k,i) = fuo_xz(k,i)
	1268	ELSE
	1269	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1270	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
	1271	ENDIF
	1272
	1273	IF ( tv(k) == 0.0_wp ) THEN
	1274	fv_xz(k,i) = fvo_xz(k,i)
	1275	ELSE
	1276	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1277	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
	1278	ENDIF
	1279
	1280	IF ( tw(k) == 0.0_wp ) THEN
	1281	fw_xz(k,i) = fwo_xz(k,i)
	1282	ELSE
	1283	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1284	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
	1285	ENDIF
	1286	!
	1287	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1288	!-- Additional factors are added to improve the variance of v and w
	1289	IF( k == 0 ) THEN
	1290	dist_xz(k,i,1) = 0.0_wp
	1291	dist_xz(k,i,2) = 0.0_wp
	1292	dist_xz(k,i,3) = 0.0_wp
	1293
	1294	ELSE
	1295	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
	1296	!experimental test of 1.2
	1297	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
	1298	* 1.2_wp ) &
	1299	* ( a21(k) * fu_xz(k,i) &
	1300	+ a22(k) * fv_xz(k,i) )
	1301	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
	1302	* 1.3_wp ) &
	1303	* ( a31(k) * fu_xz(k,i) &
	1304	+ a32(k) * fv_xz(k,i) &
	1305	+ a33(k) * fw_xz(k,i) )
	1306	ENDIF
	1307
	1308	ENDDO
[2259]	1309	ENDDO
[2938]	1310	!
	1311	!-- Mass flux correction following Kim et al. (2013)
	1312	!-- This correction factor insures that the mass flux is preserved at the
	1313	!-- inflow boundary.
	1314	!-- First, calculate volume flow at xz boundary
	1315	IF ( myidy == id_stg_south ) j = nys
	1316	IF ( myidy == id_stg_north ) j = nyn+1
[2259]	1317
[2938]	1318	volume_flow_l = 0.0_wp
	1319	volume_flow = 0.0_wp
	1320	mc_factor_l = 0.0_wp
	1321	mc_factor = 0.0_wp
	1322	DO i = nxl, nxr
	1323	DO k = nzb+1, nzt
[2945]	1324	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
	1325	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1326	BTEST( wall_flags_0(k,j,i), 2 ) )
	1327
[2945]	1328	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
	1329	* dzw(k) * dx &
	1330	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1331	BTEST( wall_flags_0(k,j,i), 2 ) )
	1332	ENDDO
	1333	ENDDO
	1334	#if defined( __parallel )
[2945]	1335	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
[2938]	1336	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
[2945]	1337	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
[2938]	1338	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
	1339	#else
	1340	volume_flow = volume_flow_l
	1341	mc_factor = mc_factor_l
	1342	#endif
	1343
	1344	mc_factor = volume_flow / mc_factor
	1345
	1346	!
	1347	!-- Add disturbances
	1348	IF ( myidy == id_stg_south ) THEN
	1349
	1350	DO i = nxlg, nxrg
	1351	DO k = nzb, nzt+1
	1352	u(k,-nbgp:-1,i) = ( u(k,-nbgp:-1,i) + dist_xz(k,i,1) ) &
	1353	* mc_factor
	1354	v(k,-nbgp:0,i) = ( v(k,-nbgp:0,i) + dist_xz(k,i,2) ) &
	1355	* mc_factor
	1356	w(k,-nbgp:-1,i) = ( w(k,-nbgp:-1,i) + dist_xz(k,i,3) ) &
	1357	* mc_factor
	1358	ENDDO
	1359	ENDDO
	1360	ENDIF
	1361	IF ( myidy == id_stg_north ) THEN
	1362
	1363	DO i = nxlg, nxrg
	1364	DO k = nzb, nzt+1
	1365	u(k,nyn+1:nyn+nbgp,i) = ( u(k,nyn+1:nyn+nbgp,i) + &
	1366	dist_xz(k,i,1) ) * mc_factor
	1367	v(k,nyn+1:nyn+nbgp,i) = ( v(k,nyn+1:nyn+nbgp,i) + &
	1368	dist_xz(k,i,2) ) * mc_factor
	1369	w(k,nyn+1:nyn+nbgp,i) = ( w(k,nyn+1:nyn+nbgp,i) + &
	1370	dist_xz(k,i,3) ) * mc_factor
	1371	ENDDO
	1372	ENDDO
	1373	ENDIF
[2259]	1374	ENDIF
	1375
	1376	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	1377
	1378	END SUBROUTINE stg_main
	1379
	1380	!------------------------------------------------------------------------------!
	1381	! Description:
	1382	! ------------
	1383	!> Generate a set of random number rand_it wich is equal on each PE
	1384	!> and calculate the velocity seed f_n.
	1385	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
	1386	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1387	!> parts are collected to form the full array.
	1388	!------------------------------------------------------------------------------!
[2938]	1389	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
[2259]	1390
	1391
	1392	USE indices, &
	1393	ONLY: ny
	1394
[2945]	1395	USE pegrid
[2259]	1396
	1397	IMPLICIT NONE
	1398
[2938]	1399	INTEGER(iwp) :: id !< core ids at respective boundaries
[2259]	1400	INTEGER(iwp) :: j !< loop index in y-direction
	1401	INTEGER(iwp) :: jj !< loop index in y-direction
	1402	INTEGER(iwp) :: k !< loop index in z-direction
	1403	INTEGER(iwp) :: kk !< loop index in z-direction
	1404	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1405
	1406	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
	1407	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1408	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
	1409	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1410
	1411	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
	1412	REAL(wp) :: rand_av !< average of random number
	1413	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1414
	1415	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
	1416	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
[2938]	1417	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
[2259]	1418	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
	1419	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1420
	1421
	1422	!
	1423	!-- Generate random numbers using a seed generated in stg_init.
	1424	!-- The set of random numbers are modified to have an average of 0 and
	1425	!-- unit variance.
	1426	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
	1427
	1428	rand_av = 0.0_wp
	1429	rand_sigma_inv = 0.0_wp
	1430	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
	1431
	1432	DO j = 0, ny
	1433	DO k = nzb, nzt+1
	1434	CALL RANDOM_NUMBER( rand_it(k,j) )
	1435	rand_av = rand_av + rand_it(k,j)
	1436	ENDDO
	1437	ENDDO
	1438
	1439	rand_av = rand_av * nyz_inv
	1440
	1441	DO j = 0, ny
	1442	DO k = nzb, nzt+1
	1443	rand_it(k,j) = rand_it(k,j) - rand_av
	1444	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
	1445	ENDDO
	1446	ENDDO
	1447
	1448	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
	1449
	1450	DO j = 0, ny
	1451	DO k = nzb, nzt+1
	1452	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
	1453	ENDDO
	1454	ENDDO
	1455
	1456	!
	1457	!-- Periodic fill of random number in space
	1458	DO j = 0, ny
	1459	DO k = 1, mergp
	1460	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
	1461	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
	1462	ENDDO
	1463	ENDDO
	1464	DO j = 1, mergp
	1465	DO k = nzb-mergp, nzt+1+mergp
	1466	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
	1467	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
	1468	ENDDO
	1469	ENDDO
	1470
	1471	!
	1472	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1473	n_y2 = n_y * 2
	1474	n_z2 = n_z * 2
	1475	f_n_l = 0.0_wp
	1476
	1477	DO j = nysg, nyng
[2938]	1478	DO k = nzb_x_stg, nzt_x_stg+1
[2259]	1479	DO jj = -n_y2(k), n_y2(k)
	1480	DO kk = -n_z2(k), n_z2(k)
	1481	f_n_l(k,j) = f_n_l(k,j) &
	1482	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
	1483	ENDDO
	1484	ENDDO
	1485	ENDDO
	1486	ENDDO
	1487
	1488	DEALLOCATE( rand_it )
	1489	!
	1490	!-- Gather velocity seeds of full subdomain
[2938]	1491	send_count = nzt_x_stg - nzb_x_stg + 1
	1492	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
[2259]	1493
	1494	#if defined( __parallel )
[2945]	1495	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
	1496	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
[2938]	1497	id, comm1dx, ierr )
[2259]	1498	#else
[2938]	1499	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
[2259]	1500	#endif
	1501
	1502
	1503	END SUBROUTINE stg_generate_seed_yz
	1504
[2938]	1505
	1506
	1507
	1508	!------------------------------------------------------------------------------!
	1509	! Description:
	1510	! ------------
	1511	!> Generate a set of random number rand_it wich is equal on each PE
	1512	!> and calculate the velocity seed f_n.
	1513	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
	1514	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1515	!> parts are collected to form the full array.
	1516	!------------------------------------------------------------------------------!
	1517	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
	1518
	1519
	1520	USE indices, &
	1521	ONLY: nx
	1522
	1523
	1524	IMPLICIT NONE
	1525
	1526	INTEGER(iwp) :: id !< core ids at respective boundaries
	1527	INTEGER(iwp) :: i !< loop index in x-direction
	1528	INTEGER(iwp) :: ii !< loop index in x-direction
	1529	INTEGER(iwp) :: k !< loop index in z-direction
	1530	INTEGER(iwp) :: kk !< loop index in z-direction
	1531	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1532
	1533	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
	1534	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1535	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
	1536	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1537
	1538	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
	1539	REAL(wp) :: rand_av !< average of random number
	1540	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1541
	1542	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
	1543	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
	1544	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
	1545	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
	1546	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1547
	1548
	1549	!
	1550	!-- Generate random numbers using a seed generated in stg_init.
	1551	!-- The set of random numbers are modified to have an average of 0 and
	1552	!-- unit variance.
	1553	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
	1554
	1555	rand_av = 0.0_wp
	1556	rand_sigma_inv = 0.0_wp
	1557	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
	1558
	1559	DO i = 0, nx
	1560	DO k = nzb, nzt+1
	1561	CALL RANDOM_NUMBER( rand_it(k,i) )
	1562	rand_av = rand_av + rand_it(k,i)
	1563	ENDDO
	1564	ENDDO
	1565
	1566	rand_av = rand_av * nxz_inv
	1567
	1568	DO i = 0, nx
	1569	DO k = nzb, nzt+1
	1570	rand_it(k,i) = rand_it(k,i) - rand_av
	1571	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
	1572	ENDDO
	1573	ENDDO
	1574
	1575	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
	1576
	1577	DO i = 0, nx
	1578	DO k = nzb, nzt+1
	1579	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
	1580	ENDDO
	1581	ENDDO
	1582
	1583	!
	1584	!-- Periodic fill of random number in space
	1585	DO i = 0, nx
	1586	DO k = 1, mergp
	1587	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
	1588	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
	1589	ENDDO
	1590	ENDDO
	1591	DO i = 1, mergp
	1592	DO k = nzb-mergp, nzt+1+mergp
	1593	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
	1594	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
	1595	ENDDO
	1596	ENDDO
	1597
	1598	!
	1599	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1600	n_x2 = n_x * 2
	1601	n_z2 = n_z * 2
	1602	f_n_l = 0.0_wp
	1603
	1604	DO i = nxlg, nxrg
	1605	DO k = nzb_y_stg, nzt_y_stg+1
	1606	DO ii = -n_x2(k), n_x2(k)
	1607	DO kk = -n_z2(k), n_z2(k)
	1608	f_n_l(k,i) = f_n_l(k,i) &
	1609	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
	1610	ENDDO
	1611	ENDDO
	1612	ENDDO
	1613	ENDDO
	1614
	1615	DEALLOCATE( rand_it )
	1616
	1617	!
	1618	!-- Gather velocity seeds of full subdomain
	1619	send_count = nzt_y_stg - nzb_y_stg + 1
	1620	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
	1621
	1622
	1623	#if defined( __parallel )
[2945]	1624	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
[2938]	1625	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
	1626	id, comm1dy, ierr )
	1627	#else
	1628	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
	1629	#endif
	1630
	1631
	1632	END SUBROUTINE stg_generate_seed_xz
	1633
[2259]	1634	END MODULE synthetic_turbulence_generator_mod

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