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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3044

Last change on this file since 3044 was 3044, checked in by gronemeier, 6 years ago
add missing variable descriptions
Property svn:keywords set to `Id`
File size: 61.9 KB

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

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