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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3170

Last change on this file since 3170 was 3065, checked in by Giersch, 6 years ago
New vertical stretching procedure has been introduced
Property svn:keywords set to `Id`
File size: 62.6 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	!
[3049]	23	!
[2259]	24	! Former revisions:
	25	! -----------------
	26	! $Id: synthetic_turbulence_generator_mod.f90 3065 2018-06-12 07:03:02Z suehring $
[3065]	27	! Error message related to vertical stretching has been added, dz was replaced
	28	! by dz(1)
	29	!
	30	! 3051 2018-05-30 17:43:55Z suehring
[3051]	31	! Bugfix in calculation of initial Reynolds-stress tensor.
[3049]	32	!
	33	! 3045 2018-05-28 07:55:41Z Giersch
[3051]	34	! Error messages revised
[3045]	35	!
	36	! 3044 2018-05-25 10:59:41Z gronemeier
[3044]	37	! Add missing variable descriptions
	38	!
	39	! 3038 2018-05-24 10:54:00Z gronemeier
[3038]	40	! updated variable descriptions
	41	!
	42	! 2967 2018-04-13 11:22:08Z raasch
[2967]	43	! bugfix: missing parallel cpp-directives added
[3038]	44	!
[2967]	45	! 2946 2018-04-04 17:01:23Z suehring
[2946]	46	! Remove unused module load
[3038]	47	!
[2946]	48	! 2945 2018-04-04 16:27:14Z suehring
[3038]	49	! - Bugfix in parallelization of synthetic turbulence generator in case the
	50	! z-dimension is not an integral divisor of the number of processors along
[2945]	51	! the x- and y-dimension
[3038]	52	! - Revision in control mimic in case of RAN-LES nesting
	53	!
[2945]	54	! 2938 2018-03-27 15:52:42Z suehring
[3038]	55	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
	56	! realistic Inifor large-scale forcing or RANS-LES nesting
	57	!
[2938]	58	! 2936 2018-03-27 14:49:27Z suehring
[3038]	59	! variable named found has been introduced for checking if restart data was found,
	60	! reading of restart strings has been moved completely to read_restart_data_mod,
	61	! redundant skipping function has been removed, stg_read/write_restart_data
	62	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
[2894]	63	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
[3038]	64	! *** have been removed (Giersch), strings and their respective lengths are
	65	! written out and read now in case of restart runs to get rid of prescribed
	66	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
	67	!
[2894]	68	! 2841 2018-02-27 15:02:57Z suehring
[2841]	69	! Bugfix: wrong placement of include 'mpif.h' corrected
[3038]	70	!
[2841]	71	! 2836 2018-02-26 13:40:05Z Giersch
[3038]	72	! The variables synthetic_turbulence_generator and
[2836]	73	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
	74	! flag is used to define if module related parameters were outputted as restart
[3038]	75	! data
	76	!
[2776]	77	! 2716 2017-12-29 16:35:59Z kanani
[2716]	78	! Corrected "Former revisions" section
[3038]	79	!
[2716]	80	! 2696 2017-12-14 17:12:51Z kanani
	81	! Change in file header (GPL part)
	82	!
	83	! 2669 2017-12-06 16:03:27Z raasch
[2669]	84	! unit number for file containing turbulence generator data changed to 90
	85	! bugfix: preprocessor directives added for MPI specific code
[3038]	86	!
[2669]	87	! 2576 2017-10-24 13:49:46Z Giersch
[3038]	88	! Definition of a new function called stg_skip_global to skip module
[2576]	89	! parameters during reading restart data
[3038]	90	!
[2576]	91	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	92	! stg_read_restart_data is called in stg_parin in the case of a restart run
[3038]	93	!
[2563]	94	! 2259 2017-06-08 09:09:11Z gronemeier
[2259]	95	! Initial revision
	96	!
	97	!
[3038]	98	!
[2259]	99	! Authors:
	100	! --------
	101	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
	102	!
	103	!
	104	! Description:
	105	! ------------
	106	!> The module generates turbulence at the inflow boundary based on a method by
	107	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
	108	!> correction by Kim et al. (2013).
	109	!> The turbulence is correlated based on length scales in y- and z-direction and
	110	!> a time scale for each velocity component. The profiles of length and time
	111	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
	112	!> tensor are read from file STG_PROFILES.
	113	!>
	114	!> @todo test restart
	115	!> enable cyclic_fill
	116	!> implement turbulence generation for e and pt
[2945]	117	!> @todo Input of height-constant length scales via namelist
[2259]	118	!> @note <Enter notes on the module>
	119	!> @bug Height information from input file is not used. Profiles from input
	120	!> must match with current PALM grid.
	121	!> Transformation of length scales to number of gridpoints does not
	122	!> consider grid stretching.
	123	!> In case of restart, velocity seeds differ from precursor run if a11,
	124	!> a22, or a33 are zero.
	125	!------------------------------------------------------------------------------!
	126	MODULE synthetic_turbulence_generator_mod
	127
	128
	129	USE arrays_3d, &
	130	ONLY: mean_inflow_profiles, u, v, w
	131
	132	USE constants, &
	133	ONLY: pi
	134
	135	USE control_parameters, &
[2938]	136	ONLY: initializing_actions, message_string, syn_turb_gen
[2259]	137
	138	USE cpulog, &
	139	ONLY: cpu_log, log_point, log_point_s
	140
	141	USE indices, &
[2938]	142	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
[2259]	143
	144	USE kinds
	145
[2967]	146	#if defined( __parallel ) && !defined( __mpifh )
[2259]	147	USE MPI
[2841]	148	#endif
[2259]	149
	150	USE pegrid, &
[2938]	151	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
[2259]	152
	153	USE transpose_indices, &
	154	ONLY: nzb_x, nzt_x
	155
	156
	157	IMPLICIT NONE
	158
[2967]	159	#if defined( __parallel ) && defined( __mpifh )
[2841]	160	INCLUDE "mpif.h"
	161	#endif
	162
[2776]	163	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
	164	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
[2259]	165
[3038]	166	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
	167	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
	168	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
	169	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
[2938]	170	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
	171	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
	172	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
	173	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
	174	INTEGER(iwp) :: merg !< maximum length scale (in gp)
	175	INTEGER(iwp) :: mergp !< merg + nbgp
[3038]	176	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
	177	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
	178	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
	179	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
[2259]	180
	181	REAL(wp) :: mc_factor !< mass flux correction factor
	182
[2938]	183	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
	184	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
	185	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
	186	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
	187	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
	188	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
	189	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
	190	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
	191	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
	192	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
	193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
	194	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
	195	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
[2259]	196
	197	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
	198
	199	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
	200	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
	201	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
	202	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
	203	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
	204	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
	205	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
	206	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
	207	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
	208
[2938]	209	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
[2259]	210	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
	211	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
[2938]	212	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
[2259]	213	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
	214	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
[2938]	215	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
[2259]	216	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
	217	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
[2938]	218	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
	219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
	220	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
	221	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
	222	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
	223	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
	224	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
	225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
	226	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
	227	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
	228	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
	229	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
[2259]	230
	231
	232	!
	233	!-- PALM interfaces:
	234	!-- Input parameter checks to be done in check_parameters
	235	INTERFACE stg_check_parameters
	236	MODULE PROCEDURE stg_check_parameters
	237	END INTERFACE stg_check_parameters
	238
	239	!
	240	!-- Calculate filter functions
	241	INTERFACE stg_filter_func
	242	MODULE PROCEDURE stg_filter_func
	243	END INTERFACE stg_filter_func
	244
	245	!
[2938]	246	!-- Generate velocity seeds at south and north domain boundary
	247	INTERFACE stg_generate_seed_xz
	248	MODULE PROCEDURE stg_generate_seed_xz
	249	END INTERFACE stg_generate_seed_xz
	250	!
	251	!-- Generate velocity seeds at left and/or right domain boundary
[2259]	252	INTERFACE stg_generate_seed_yz
	253	MODULE PROCEDURE stg_generate_seed_yz
	254	END INTERFACE stg_generate_seed_yz
	255
	256	!
	257	!-- Output of information to the header file
	258	INTERFACE stg_header
	259	MODULE PROCEDURE stg_header
	260	END INTERFACE stg_header
	261
	262	!
	263	!-- Initialization actions
	264	INTERFACE stg_init
	265	MODULE PROCEDURE stg_init
	266	END INTERFACE stg_init
	267
	268	!
	269	!-- Main procedure of synth. turb. gen.
	270	INTERFACE stg_main
	271	MODULE PROCEDURE stg_main
	272	END INTERFACE stg_main
	273
	274	!
	275	!-- Reading of NAMELIST parameters
	276	INTERFACE stg_parin
	277	MODULE PROCEDURE stg_parin
	278	END INTERFACE stg_parin
	279
	280	!
	281	!-- Reading of parameters for restart runs
[2894]	282	INTERFACE stg_rrd_global
	283	MODULE PROCEDURE stg_rrd_global
	284	END INTERFACE stg_rrd_global
[2259]	285
	286	!
	287	!-- Writing of binary output for restart runs
[2894]	288	INTERFACE stg_wrd_global
	289	MODULE PROCEDURE stg_wrd_global
	290	END INTERFACE stg_wrd_global
[2259]	291
	292	SAVE
	293
	294	PRIVATE
	295
	296	!
	297	!-- Public interfaces
	298	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
[2894]	299	stg_wrd_global, stg_rrd_global
[2259]	300
	301	!
	302	!-- Public variables
[2938]	303	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	304	use_syn_turb_gen
[2259]	305
	306
	307	CONTAINS
	308
	309
	310	!------------------------------------------------------------------------------!
	311	! Description:
	312	! ------------
	313	!> Check parameters routine for synthetic turbulence generator
	314	!------------------------------------------------------------------------------!
	315	SUBROUTINE stg_check_parameters
	316
	317
	318	USE control_parameters, &
[3065]	319	ONLY: bc_lr, bc_ns, forcing, nest_domain, number_stretch_level_start, &
	320	rans_mode, turbulent_inflow
[2259]	321
[2938]	322	USE pmc_interface, &
	323	ONLY : rans_mode_parent
[2259]	324
[2938]	325
[2259]	326	IMPLICIT NONE
	327
[2938]	328	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. forcing ) THEN
	329	message_string = 'Synthetic turbulence generator has to be applied ' // &
	330	'when forcing is used and model operates in LES mode.'
	331	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	332	ENDIF
	333
	334	IF ( .NOT. use_syn_turb_gen .AND. nest_domain &
	335	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
	336	message_string = 'Synthetic turbulence generator has to be applied ' // &
	337	'when nesting is applied and parent operates in ' // &
	338	'RANS-mode but current child in LES mode.'
	339	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	340	ENDIF
	341
[2776]	342	IF ( use_syn_turb_gen ) THEN
[2259]	343
[3038]	344	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
[2938]	345
	346	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
	347	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
	348	message_string = 'Using synthetic turbulence generator ' // &
[3046]	349	'requires %initializing_actions = ' // &
[2938]	350	'"set_constant_profiles" or "read_restart_data"'
	351	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
	352	ENDIF
	353
	354	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
	355	message_string = 'Using synthetic turbulence generator ' // &
[3046]	356	'requires &bc_lr = "dirichlet/radiation"'
[2938]	357	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
	358	ENDIF
	359	IF ( bc_ns /= 'cyclic' ) THEN
	360	message_string = 'Using synthetic turbulence generator ' // &
[3046]	361	'requires &bc_ns = "cyclic"'
[2938]	362	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
	363	ENDIF
	364
[2259]	365	ENDIF
	366
	367	IF ( turbulent_inflow ) THEN
	368	message_string = 'Using synthetic turbulence generator ' // &
[2938]	369	'in combination &with turbulent_inflow = .T. '// &
	370	'is not allowed'
[2259]	371	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
	372	ENDIF
[3065]	373
	374	IF ( number_stretch_level_start > 0 ) THEN
	375	message_string = 'Using synthetic turbulence generator ' // &
	376	'in combination with stretching is not allowed'
	377	CALL message( 'stg_check_parameters', 'PA0420', 1, 2, 0, 6, 0 )
	378	ENDIF
[2259]	379
	380	ENDIF
	381
	382	END SUBROUTINE stg_check_parameters
	383
	384
	385	!------------------------------------------------------------------------------!
	386	! Description:
	387	! ------------
	388	!> Header output for synthetic turbulence generator
	389	!------------------------------------------------------------------------------!
	390	SUBROUTINE stg_header ( io )
	391
	392
	393	IMPLICIT NONE
	394
	395	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	396
	397	!
	398	!-- Write synthetic turbulence generator Header
	399	WRITE( io, 1 )
[2776]	400	IF ( use_syn_turb_gen ) THEN
[2259]	401	WRITE( io, 2 )
	402	ELSE
	403	WRITE( io, 3 )
	404	ENDIF
	405
	406	1 FORMAT (//' Synthetic turbulence generator information:'/ &
	407	' ------------------------------------------'/)
	408	2 FORMAT (' synthetic turbulence generator switched on')
	409	3 FORMAT (' synthetic turbulence generator switched off')
	410
	411	END SUBROUTINE stg_header
	412
	413
	414	!------------------------------------------------------------------------------!
	415	! Description:
	416	! ------------
	417	!> Initialization of the synthetic turbulence generator
	418	!------------------------------------------------------------------------------!
	419	SUBROUTINE stg_init
	420
	421
	422	USE arrays_3d, &
[2938]	423	ONLY: ddzw, u_init, v_init, zu
[2259]	424
	425	USE control_parameters, &
[2945]	426	ONLY: coupling_char, dz, e_init, forcing, nest_domain, rans_mode
[2259]	427
	428	USE grid_variables, &
[2938]	429	ONLY: ddx, ddy
[2259]	430
[2938]	431	USE indices, &
	432	ONLY: nz
[2259]	433
[2945]	434	USE pmc_interface, &
	435	ONLY : rans_mode_parent
[2938]	436
[2945]	437
[2259]	438	IMPLICIT NONE
	439
[2938]	440	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
	441
[2669]	442	#if defined( __parallel )
[2259]	443	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
	444	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
[2669]	445	#endif
[2259]	446
[2938]	447	INTEGER(iwp) :: i !> grid index in x-direction
[2259]	448	INTEGER(iwp) :: j !> loop index
	449	INTEGER(iwp) :: k !< index
	450	INTEGER(iwp) :: newtype !< dummy MPI type
	451	INTEGER(iwp) :: realsize !< size of REAL variables
	452	INTEGER(iwp) :: nseed !< dimension of random number seed
	453	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
	454
	455	!
	456	!-- Dummy variables used for reading profiles
	457	REAL(wp) :: d1 !< u profile
	458	REAL(wp) :: d2 !< v profile
	459	REAL(wp) :: d3 !< w profile
	460	REAL(wp) :: d5 !< e profile
	461	REAL(wp) :: d11 !< vertical interpolation for a11
	462	REAL(wp) :: d21 !< vertical interpolation for a21
	463	REAL(wp) :: d22 !< vertical interpolation for a22
[2938]	464	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
[2259]	465	REAL(wp) :: luy !< length scale for u in y direction
	466	REAL(wp) :: luz !< length scale for u in z direction
	467	REAL(wp) :: lvy !< length scale for v in y direction
	468	REAL(wp) :: lvz !< length scale for v in z direction
	469	REAL(wp) :: lwy !< length scale for w in y direction
	470	REAL(wp) :: lwz !< length scale for w in z direction
[3038]	471	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
[2259]	472	REAL(wp) :: zz !< height
	473
[3044]	474	REAL(wp) :: length_scale_surface !< typical length scale
	475	REAL(wp) :: r_ii_0 !< correction factor
	476	REAL(wp) :: time_scale !< typical time scale
	477	REAL(wp) :: length_scale_z !< typical length scale
[2938]	478
[2259]	479	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
	480	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
	481	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
	482	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
	483	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
	484	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
	485
	486
	487	#if defined( __parallel )
	488	CALL MPI_BARRIER( comm2d, ierr )
	489	#endif
	490
	491	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	492
	493	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
	494	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
	495
	496	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
	497	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
[2938]	498	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
	499	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
	500	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
[2259]	501	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
	502
[2669]	503	#if defined( __parallel )
[2259]	504	!
[2938]	505	!-- Determine processor decomposition of z-axis along x- and y-direction
	506	nnz = nz / pdims(1)
[2945]	507	nzb_x_stg = 1 + myidx * INT( nnz )
	508	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
[2938]	509
[3038]	510	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
[2945]	511	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
	512	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
[2938]	513
[2945]	514	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	515	.NOT. rans_mode ) ) THEN
[2938]	516	nnz = nz / pdims(2)
[2945]	517	nzb_y_stg = 1 + myidy * INT( nnz )
	518	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
[2938]	519
[2945]	520	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
[3038]	521	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
[2945]	522	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
[2938]	523	ENDIF
	524
	525	!
[2259]	526	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
	527	!-- velocity seeds
	528	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
	529	extent = 1 * realsize
[2938]	530	!
[3038]	531	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
	532	!-- layer
[2938]	533	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
[2259]	534	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
	535	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	536	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
	537	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
	538	CALL MPI_TYPE_FREE( newtype, ierr )
	539
[2938]	540	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	541	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
[2259]	542	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	543	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
	544	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
	545	CALL MPI_TYPE_FREE( newtype, ierr )
	546
	547	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
[2938]	548	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
[2259]	549
[2938]	550	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
	551	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
[2259]	552
	553	DO j = 1, pdims(1)
[2938]	554	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
[2259]	555	ENDDO
[2938]	556	!
[3038]	557	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
	558	!-- layer
[2938]	559	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
[2945]	560	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	561	.NOT. rans_mode ) ) THEN
	562	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
[2938]	563	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	564	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
	565	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
	566	CALL MPI_TYPE_FREE( newtype, ierr )
	567
	568	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	569	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
[2938]	570	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	571	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
	572	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
	573	CALL MPI_TYPE_FREE( newtype, ierr )
	574
	575	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
	576	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
	577
	578	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
	579	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
	580
	581	DO j = 1, pdims(2)
	582	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
	583	ENDDO
	584
	585	ENDIF
	586
[2669]	587	#endif
[2259]	588	!
	589	!-- Define seed of random number
	590	CALL RANDOM_SEED()
	591	CALL RANDOM_SEED( size=nseed )
	592	ALLOCATE( seed(1:nseed) )
	593	DO j = 1, nseed
	594	seed(j) = startseed + j
	595	ENDDO
	596	CALL RANDOM_SEED(put=seed)
	597
	598	!-- Read inflow profile
	599	!-- Height levels of profiles in input profile is as follows:
	600	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
	601	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
	602	!-- WARNING: zz is not used at the moment
[2938]	603	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
	604	EXIST = file_stg_exist )
[2259]	605
[2938]	606	IF ( file_stg_exist ) THEN
[2259]	607
[2938]	608	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
	609	FORM='FORMATTED')
	610	!
	611	!-- Skip header
	612	READ( 90, * )
[2259]	613
[2938]	614	DO k = nzb, nzt+1
	615	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
	616	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
	617	d1, d2, d3, d5
	618
[2259]	619	!
[3065]	620	!-- Convert length scales from meter to number of grid points. Attention:
	621	!-- Does not work if grid stretching is used
[2938]	622	nuy(k) = INT( luy * ddy )
[3065]	623	nuz(k) = INT( luz / dz(1) )
[2938]	624	nvy(k) = INT( lvy * ddy )
[3065]	625	nvz(k) = INT( lvz / dz(1) )
[2938]	626	nwy(k) = INT( lwy * ddy )
[3065]	627	nwz(k) = INT( lwz / dz(1) )
[2938]	628	!
	629	!-- Workaround, assume isotropic turbulence
	630	nwx(k) = nwy(k)
	631	nvx(k) = nvy(k)
	632	nux(k) = nuy(k)
	633	!
	634	!-- Save Mean inflow profiles
	635	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	636	mean_inflow_profiles(k,1) = d1
	637	mean_inflow_profiles(k,2) = d2
	638	! mean_inflow_profiles(k,4) = d4
	639	mean_inflow_profiles(k,5) = d5
	640	ENDIF
	641	ENDDO
[2259]	642
[2938]	643	CLOSE( 90 )
[3038]	644
[2938]	645	ELSE
[2259]	646	!
[3038]	647	!-- Set-up defaul length scales. Assume exponentially decreasing length
	648	!-- scales and isotropic turbulence.
	649	!-- Typical length (time) scales of 100 m (s) should be a good compromise
	650	!-- between all stratrifications. Near-surface variances are fixed to
[2938]	651	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
[3038]	652	!-- Vertical fluxes
[2938]	653	length_scale_surface = 100.0_wp
	654	r_ii_0 = 0.1_wp
	655	time_scale = 100.0_wp
	656	DO k = nzb+1, nzt+1
	657	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
	658	0.0_wp, &
	659	zu(k) > 0.3 * zu(nzt) &
	660	)
	661	length_scale_z = length_scale_surface * EXP( dum_exp )
[2259]	662
[2938]	663	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
	664	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	665	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	666	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	667	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	668	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	669	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	670	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	671	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
[2259]	672
[2938]	673	r11(k) = r_ii_0 * EXP( dum_exp )
	674	r22(k) = r_ii_0 * EXP( dum_exp )
	675	r33(k) = r_ii_0 * EXP( dum_exp )
[2259]	676
[2938]	677	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	678	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	679	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	680
	681	tu(k) = time_scale
	682	tv(k) = time_scale
	683	tw(k) = time_scale
	684
	685	ENDDO
	686	nux(nzb) = nux(nzb+1)
	687	nuy(nzb) = nuy(nzb+1)
	688	nuz(nzb) = nuz(nzb+1)
	689	nvx(nzb) = nvx(nzb+1)
	690	nvy(nzb) = nvy(nzb+1)
	691	nvz(nzb) = nvz(nzb+1)
	692	nwx(nzb) = nwx(nzb+1)
	693	nwy(nzb) = nwy(nzb+1)
	694	nwz(nzb) = nwz(nzb+1)
	695
	696	r11(nzb) = r11(nzb+1)
	697	r22(nzb) = r22(nzb+1)
	698	r33(nzb) = r33(nzb+1)
	699
	700	r21(nzb) = r11(nzb+1)
	701	r31(nzb) = r31(nzb+1)
	702	r32(nzb) = r32(nzb+1)
	703
	704	tu(nzb) = time_scale
	705	tv(nzb) = time_scale
	706	tw(nzb) = time_scale
	707
	708	ENDIF
	709
[2259]	710	!
[2938]	711	!-- Assign initial profiles
[3038]	712	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
[2938]	713	u_init = mean_inflow_profiles(:,1)
	714	v_init = mean_inflow_profiles(:,2)
	715	!pt_init = mean_inflow_profiles(:,4)
	716	e_init = MAXVAL( mean_inflow_profiles(:,5) )
	717	ENDIF
	718	!
[2259]	719	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
	720	DO k = nzb, nzt+1
	721	IF ( r11(k) > 0.0_wp ) THEN
	722	a11(k) = SQRT( r11(k) )
	723	a21(k) = r21(k) / a11(k)
	724	ELSE
	725	a11(k) = 0.0_wp
	726	a21(k) = 0.0_wp
	727	ENDIF
	728
	729	a22(k) = r22(k) - a21(k)**2
	730	IF ( a22(k) > 0.0_wp ) THEN
	731	a22(k) = SQRT( a22(k) )
	732	ELSE
	733	a22(k) = 0.0_wp
	734	ENDIF
	735
	736	!
	737	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
	738	!-- d21, d22) because of different vertical grid
	739	IF ( k .le. nzt ) THEN
	740	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
	741	IF ( d11 > 0.0_wp ) THEN
	742	d11 = SQRT( d11 )
	743	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
	744	a31(k) = r31(k) / d11
	745	ELSE
	746	d21 = 0.0_wp
	747	a31(k) = 0.0_wp
	748	ENDIF
	749
	750	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
	751	IF ( d22 > 0.0_wp ) THEN
	752	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
	753	ELSE
	754	a32(k) = 0.0_wp
	755	ENDIF
	756
	757	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
	758	IF ( a33(k) > 0.0_wp ) THEN
	759	a33(k) = SQRT( a33(k) )
	760	ELSE
	761	a33(k) = 0.0_wp
	762	ENDIF
	763	ELSE
	764	a31(k) = a31(k-1)
	765	a32(k) = a32(k-1)
	766	a33(k) = a33(k-1)
	767	ENDIF
	768
	769	ENDDO
	770	!
	771	!-- Define the size of the filter functions and allocate them.
	772	merg = 0
	773
	774	! arrays must be large enough to cover the largest length scale
	775	DO k = nzb, nzt+1
[2938]	776	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
	777	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
	778	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
[2259]	779	IF ( j > merg ) merg = j
	780	ENDDO
	781
	782	merg = 2 * merg
	783	mergp = merg + nbgp
	784
[2938]	785	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
	786	buy(-merg:merg,nzb:nzt+1), &
	787	buz(-merg:merg,nzb:nzt+1), &
	788	bvx(-merg:merg,nzb:nzt+1), &
	789	bvy(-merg:merg,nzb:nzt+1), &
	790	bvz(-merg:merg,nzb:nzt+1), &
	791	bwx(-merg:merg,nzb:nzt+1), &
	792	bwy(-merg:merg,nzb:nzt+1), &
	793	bwz(-merg:merg,nzb:nzt+1) )
[2259]	794
	795	!
[2938]	796	!-- Allocate velocity seeds for turbulence at xz-layer
	797	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
	798	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
	799	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
[2259]	800
[2938]	801	!
	802	!-- Allocate velocity seeds for turbulence at yz-layer
	803	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
	804	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
	805	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
[2259]	806
[2938]	807	fu_xz = 0.0_wp
	808	fuo_xz = 0.0_wp
	809	fv_xz = 0.0_wp
	810	fvo_xz = 0.0_wp
	811	fw_xz = 0.0_wp
	812	fwo_xz = 0.0_wp
	813
	814	fu_yz = 0.0_wp
	815	fuo_yz = 0.0_wp
	816	fv_yz = 0.0_wp
	817	fvo_yz = 0.0_wp
	818	fw_yz = 0.0_wp
	819	fwo_yz = 0.0_wp
	820
[2259]	821	!
	822	!-- Create filter functions
[2938]	823	CALL stg_filter_func( nux, bux ) !filter ux
[2259]	824	CALL stg_filter_func( nuy, buy ) !filter uy
	825	CALL stg_filter_func( nuz, buz ) !filter uz
[2938]	826	CALL stg_filter_func( nvx, bvx ) !filter vx
[2259]	827	CALL stg_filter_func( nvy, bvy ) !filter vy
	828	CALL stg_filter_func( nvz, bvz ) !filter vz
[2938]	829	CALL stg_filter_func( nwx, bwx ) !filter wx
[2259]	830	CALL stg_filter_func( nwy, bwy ) !filter wy
	831	CALL stg_filter_func( nwz, bwz ) !filter wz
	832
	833	#if defined( __parallel )
	834	CALL MPI_BARRIER( comm2d, ierr )
	835	#endif
	836
	837	!
[2938]	838	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
	839	! time step.
	840	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
	841	! are 0 compared to the prerun. This is mostly for k=nzt+1.
[2259]	842	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
[2938]	843	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
	844
	845	IF ( myidx == id_stg_left ) i = -1
	846	IF ( myidx == id_stg_right ) i = nxr+1
	847
[2259]	848	DO j = nysg, nyng
	849	DO k = nzb, nzt+1
	850
	851	IF ( a11(k) .NE. 0._wp ) THEN
[2938]	852	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
[2259]	853	ELSE
[2938]	854	fu_yz(k,j) = 0._wp
[2259]	855	ENDIF
	856
	857	IF ( a22(k) .NE. 0._wp ) THEN
[2938]	858	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
	859	v_init(k) ) / a22(k)
[2259]	860	ELSE
[2938]	861	fv_yz(k,j) = 0._wp
[2259]	862	ENDIF
	863
	864	IF ( a33(k) .NE. 0._wp ) THEN
[2938]	865	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
	866	a32(k) * fv_yz(k,j) ) / a33(k)
[2259]	867	ELSE
[2938]	868	fw_yz = 0._wp
[2259]	869	ENDIF
	870
	871	ENDDO
	872	ENDDO
	873	ENDIF
	874	ENDIF
	875
	876	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	877
	878	END SUBROUTINE stg_init
	879
	880
	881	!------------------------------------------------------------------------------!
	882	! Description:
	883	! ------------
	884	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
	885	!> (Xie and Castro, 2008)
	886	!------------------------------------------------------------------------------!
	887	SUBROUTINE stg_filter_func( nxx, bxx )
	888
	889
	890	IMPLICIT NONE
	891
	892	INTEGER(iwp) :: k !< loop index
	893	INTEGER(iwp) :: n_k !< length scale nXX in height k
	894	INTEGER(iwp) :: n_k2 !< n_k * 2
	895	INTEGER(iwp) :: nf !< index for length scales
	896
	897	REAL(wp) :: bdenom !< denominator for filter functions bXX
	898	REAL(wp) :: qsi = 1.0_wp !< minimization factor
	899
	900	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
	901
	902	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
	903
	904
	905	bxx = 0.0_wp
	906
	907	DO k = nzb, nzt+1
	908	bdenom = 0.0_wp
	909	n_k = nxx(k)
	910	IF ( n_k /= 0 ) THEN
	911	n_k2 = n_k * 2
	912
	913	!
	914	!-- ( Eq.10 )^2
	915	DO nf = -n_k2, n_k2
	916	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
	917	ENDDO
	918
	919	!
	920	!-- ( Eq.9 )
	921	bdenom = SQRT( bdenom )
	922	DO nf = -n_k2, n_k2
	923	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
	924	ENDDO
	925	ENDIF
	926	ENDDO
	927
	928	END SUBROUTINE stg_filter_func
	929
	930
	931	!------------------------------------------------------------------------------!
	932	! Description:
	933	! ------------
	934	!> Parin for &stg_par for synthetic turbulence generator
	935	!------------------------------------------------------------------------------!
	936	SUBROUTINE stg_parin
	937
	938
	939	IMPLICIT NONE
	940
	941	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	942
	943
[2776]	944	NAMELIST /stg_par/ use_syn_turb_gen
[2259]	945
	946	line = ' '
	947
	948	!
	949	!-- Try to find stg package
	950	REWIND ( 11 )
	951	line = ' '
	952	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
	953	READ ( 11, '(A)', END=10 ) line
	954	ENDDO
	955	BACKSPACE ( 11 )
	956
	957	!
	958	!-- Read namelist
	959	READ ( 11, stg_par )
	960
	961	!
	962	!-- Set flag that indicates that the synthetic turbulence generator is switched
	963	!-- on
[2776]	964	syn_turb_gen = .TRUE.
[2259]	965
[2563]	966
[2259]	967	10 CONTINUE
	968
	969	END SUBROUTINE stg_parin
	970
	971
	972	!------------------------------------------------------------------------------!
	973	! Description:
	974	! ------------
[2894]	975	!> This routine reads the respective restart data.
[2576]	976	!------------------------------------------------------------------------------!
[2894]	977	SUBROUTINE stg_rrd_global( found )
[2576]	978
	979
[2894]	980	USE control_parameters, &
	981	ONLY: length, restart_string
[2576]	982
	983
[2894]	984	IMPLICIT NONE
[2576]	985
[3044]	986	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
[2259]	987
	988
[2894]	989	found = .TRUE.
[2259]	990
[3038]	991
[2894]	992	SELECT CASE ( restart_string(1:length) )
[2259]	993
[2894]	994	CASE ( 'mc_factor' )
	995	READ ( 13 ) mc_factor
	996	CASE ( 'use_syn_turb_gen' )
	997	READ ( 13 ) use_syn_turb_gen
[2259]	998
[2894]	999	CASE DEFAULT
[2259]	1000
[3038]	1001	found = .FALSE.
[2259]	1002
[2894]	1003	END SELECT
[2259]	1004
	1005
[2894]	1006	END SUBROUTINE stg_rrd_global
[2259]	1007
	1008
	1009	!------------------------------------------------------------------------------!
	1010	! Description:
	1011	! ------------
	1012	!> This routine writes the respective restart data.
	1013	!------------------------------------------------------------------------------!
[2894]	1014	SUBROUTINE stg_wrd_global
[2259]	1015
	1016
	1017	IMPLICIT NONE
	1018
[2894]	1019	CALL wrd_write_string( 'mc_factor' )
[2259]	1020	WRITE ( 14 ) mc_factor
	1021
[2894]	1022	CALL wrd_write_string( 'use_syn_turb_gen' )
	1023	WRITE ( 14 ) use_syn_turb_gen
[2259]	1024
	1025
[2894]	1026	END SUBROUTINE stg_wrd_global
[2259]	1027
[2894]	1028
[2259]	1029	!------------------------------------------------------------------------------!
	1030	! Description:
	1031	! ------------
	1032	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
	1033	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
	1034	!> following suggestions of Kim et al. (2013), and using a Lund rotation
	1035	!> (Lund, 1998).
	1036	!------------------------------------------------------------------------------!
	1037	SUBROUTINE stg_main
	1038
	1039
	1040	USE arrays_3d, &
	1041	ONLY: dzw
	1042
	1043	USE control_parameters, &
[2938]	1044	ONLY: dt_3d, forcing, intermediate_timestep_count, nest_domain, &
[2945]	1045	rans_mode, simulated_time, volume_flow_initial
[2259]	1046
[2938]	1047	USE grid_variables, &
	1048	ONLY: dx, dy
	1049
[2259]	1050	USE indices, &
[2938]	1051	ONLY: wall_flags_0
[2259]	1052
	1053	USE statistics, &
	1054	ONLY: weight_substep
	1055
[2945]	1056	USE pmc_interface, &
	1057	ONLY : rans_mode_parent
[2259]	1058
[2945]	1059
[2259]	1060	IMPLICIT NONE
	1061
[2938]	1062	INTEGER(iwp) :: i !< grid index in x-direction
[2259]	1063	INTEGER(iwp) :: j !< loop index in y-direction
	1064	INTEGER(iwp) :: k !< loop index in z-direction
	1065
	1066	REAL(wp) :: dt_stg !< wheighted subtimestep
	1067	REAL(wp) :: mc_factor_l !< local mass flux correction factor
[2938]	1068	REAL(wp) :: volume_flow !< mass flux through lateral boundary
	1069	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
[2259]	1070
[2938]	1071	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
	1072	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
[2259]	1073
	1074
	1075	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	1076
	1077	!
	1078	!-- Calculate time step which is needed for filter functions
	1079	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
	1080
	1081	!
	1082	!-- Initial value of fu, fv, fw
	1083	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
[2938]	1084	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
	1085	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
	1086	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
	1087
[2945]	1088	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	1089	.NOT. rans_mode ) ) THEN
[2938]	1090	!
	1091	!-- Generate turbulence at right boundary
	1092	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
	1093	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
	1094	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
	1095	!
	1096	!-- Generate turbulence at north boundary
	1097	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
	1098	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
	1099	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
	1100	!
	1101	!-- Generate turbulence at south boundary
	1102	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
	1103	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
	1104	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
	1105	ENDIF
[2259]	1106	velocity_seed_initialized = .TRUE.
	1107	ENDIF
	1108	!
	1109	!-- New set of fu, fv, fw
[2938]	1110	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
	1111	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
	1112	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
[2259]	1113
[2945]	1114	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	1115	.NOT. rans_mode ) ) THEN
[2938]	1116	!
	1117	!-- Generate turbulence at right boundary
	1118	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
	1119	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
	1120	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
	1121	!
	1122	!-- Generate turbulence at north boundary
	1123	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
	1124	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
	1125	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
	1126	!
	1127	!-- Generate turbulence at south boundary
	1128	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
	1129	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
	1130	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
	1131	ENDIF
	1132	!
	1133	!-- Turbulence generation at left and or right boundary
	1134	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
[2259]	1135
	1136	DO j = nysg, nyng
	1137	DO k = nzb, nzt + 1
	1138	!
	1139	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1140	IF ( tu(k) == 0.0_wp ) THEN
[2938]	1141	fu_yz(k,j) = fuo_yz(k,j)
[2259]	1142	ELSE
[2938]	1143	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1144	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
[2259]	1145	ENDIF
	1146
	1147	IF ( tv(k) == 0.0_wp ) THEN
[2938]	1148	fv_yz(k,j) = fvo_yz(k,j)
[2259]	1149	ELSE
[2938]	1150	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1151	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
[2259]	1152	ENDIF
	1153
	1154	IF ( tw(k) == 0.0_wp ) THEN
[2938]	1155	fw_yz(k,j) = fwo_yz(k,j)
[2259]	1156	ELSE
[2938]	1157	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1158	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
[2259]	1159	ENDIF
	1160	!
	1161	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1162	!-- Additional factors are added to improve the variance of v and w
	1163	IF( k == 0 ) THEN
[2938]	1164	dist_yz(k,j,1) = 0.0_wp
	1165	dist_yz(k,j,2) = 0.0_wp
	1166	dist_yz(k,j,3) = 0.0_wp
	1167	! dist_yz(k,j,4) = 0.0_wp
	1168	! dist_yz(k,j,5) = 0.0_wp
[2259]	1169	ELSE
[2938]	1170	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
[2259]	1171	!experimental test of 1.2
[2945]	1172	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
[2259]	1173	* 1.2_wp ) &
[2945]	1174	* ( a21(k) * fu_yz(k,j) &
[2938]	1175	+ a22(k) * fv_yz(k,j) )
[2945]	1176	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
[2259]	1177	* 1.3_wp ) &
[2945]	1178	* ( a31(k) * fu_yz(k,j) &
	1179	+ a32(k) * fv_yz(k,j) &
[2938]	1180	+ a33(k) * fw_yz(k,j) )
[2259]	1181	! Calculation for pt and e not yet implemented
[2938]	1182	! dist_yz(k,j,4) = 0.0_wp
	1183	! dist_yz(k,j,5) = 0.0_wp
[2259]	1184	ENDIF
	1185
	1186	ENDDO
	1187	ENDDO
	1188
	1189	!
	1190	!-- Mass flux correction following Kim et al. (2013)
	1191	!-- This correction factor insures that the mass flux is preserved at the
	1192	!-- inflow boundary
[3038]	1193	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
[2938]	1194	mc_factor_l = 0.0_wp
	1195	mc_factor = 0.0_wp
	1196	DO j = nys, nyn
	1197	DO k = nzb+1, nzt
	1198	mc_factor_l = mc_factor_l + dzw(k) * &
	1199	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
	1200	ENDDO
[2259]	1201	ENDDO
	1202
	1203	#if defined( __parallel )
[2938]	1204	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1205	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
[2259]	1206	#else
[2938]	1207	mc_factor = mc_factor_l
[2259]	1208	#endif
	1209
[2938]	1210	mc_factor = volume_flow_initial(1) / mc_factor
[2259]	1211
	1212	!
[2938]	1213	!-- Add disturbance at the inflow
	1214	DO j = nysg, nyng
	1215	DO k = nzb, nzt+1
	1216	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
	1217	dist_yz(k,j,1) ) * mc_factor
	1218	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
	1219	dist_yz(k,j,2) ) * mc_factor
	1220	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
	1221	ENDDO
[2259]	1222	ENDDO
[2938]	1223
	1224	ELSE
	1225	!
	1226	!-- First, calculate volume flow at yz boundary
	1227	IF ( myidx == id_stg_left ) i = nxl
	1228	IF ( myidx == id_stg_right ) i = nxr+1
	1229
	1230	volume_flow_l = 0.0_wp
	1231	volume_flow = 0.0_wp
	1232	mc_factor_l = 0.0_wp
	1233	mc_factor = 0.0_wp
	1234	DO j = nys, nyn
	1235	DO k = nzb+1, nzt
	1236	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
[3038]	1237	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1238	BTEST( wall_flags_0(k,j,i), 1 ) )
	1239
	1240	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
	1241	* dzw(k) * dy &
[3038]	1242	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1243	BTEST( wall_flags_0(k,j,i), 1 ) )
	1244	ENDDO
	1245	ENDDO
	1246	#if defined( __parallel )
	1247	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
	1248	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1249	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1250	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1251	#else
	1252	volume_flow = volume_flow_l
	1253	mc_factor = mc_factor_l
	1254	#endif
	1255
	1256	mc_factor = volume_flow / mc_factor
	1257
	1258	!
	1259	!-- Add disturbances
	1260	IF ( myidx == id_stg_left ) THEN
	1261
	1262	DO j = nysg, nyng
	1263	DO k = nzb, nzt+1
	1264	u(k,j,-nbgp+1:0) = ( u(k,j,-nbgp+1:0) + dist_yz(k,j,1) ) &
	1265	* mc_factor
	1266	v(k,j,-nbgp:-1) = ( v(k,j,-nbgp:-1) + dist_yz(k,j,2) ) &
	1267	* mc_factor
	1268	w(k,j,-nbgp:-1) = ( w(k,j,-nbgp:-1) + dist_yz(k,j,3) ) &
	1269	* mc_factor
	1270	ENDDO
	1271	ENDDO
	1272	ENDIF
	1273	IF ( myidx == id_stg_right ) THEN
	1274
	1275	DO j = nysg, nyng
	1276	DO k = nzb, nzt+1
	1277	u(k,j,nxr+1:nxr+nbgp) = ( u(k,j,nxr+1:nxr+nbgp) + &
	1278	dist_yz(k,j,1) ) * mc_factor
	1279	v(k,j,nxr+1:nxr+nbgp) = ( v(k,j,nxr+1:nxr+nbgp) + &
	1280	dist_yz(k,j,2) ) * mc_factor
	1281	w(k,j,nxr+1:nxr+nbgp) = ( w(k,j,nxr+1:nxr+nbgp) + &
	1282	dist_yz(k,j,3) ) * mc_factor
	1283	ENDDO
	1284	ENDDO
	1285	ENDIF
	1286	ENDIF
	1287
	1288	ENDIF
	1289	!
	1290	!-- Turbulence generation at north and south boundary
	1291	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
	1292
	1293	DO i = nxlg, nxrg
	1294	DO k = nzb, nzt + 1
	1295	!
	1296	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1297	IF ( tu(k) == 0.0_wp ) THEN
	1298	fu_xz(k,i) = fuo_xz(k,i)
	1299	ELSE
	1300	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1301	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
	1302	ENDIF
	1303
	1304	IF ( tv(k) == 0.0_wp ) THEN
	1305	fv_xz(k,i) = fvo_xz(k,i)
	1306	ELSE
	1307	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1308	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
	1309	ENDIF
	1310
	1311	IF ( tw(k) == 0.0_wp ) THEN
	1312	fw_xz(k,i) = fwo_xz(k,i)
	1313	ELSE
	1314	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1315	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
	1316	ENDIF
	1317	!
	1318	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1319	!-- Additional factors are added to improve the variance of v and w
	1320	IF( k == 0 ) THEN
	1321	dist_xz(k,i,1) = 0.0_wp
	1322	dist_xz(k,i,2) = 0.0_wp
	1323	dist_xz(k,i,3) = 0.0_wp
	1324
	1325	ELSE
	1326	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
	1327	!experimental test of 1.2
	1328	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
	1329	* 1.2_wp ) &
	1330	* ( a21(k) * fu_xz(k,i) &
	1331	+ a22(k) * fv_xz(k,i) )
	1332	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
	1333	* 1.3_wp ) &
	1334	* ( a31(k) * fu_xz(k,i) &
	1335	+ a32(k) * fv_xz(k,i) &
	1336	+ a33(k) * fw_xz(k,i) )
	1337	ENDIF
	1338
	1339	ENDDO
[2259]	1340	ENDDO
[2938]	1341	!
	1342	!-- Mass flux correction following Kim et al. (2013)
	1343	!-- This correction factor insures that the mass flux is preserved at the
	1344	!-- inflow boundary.
	1345	!-- First, calculate volume flow at xz boundary
	1346	IF ( myidy == id_stg_south ) j = nys
	1347	IF ( myidy == id_stg_north ) j = nyn+1
[2259]	1348
[2938]	1349	volume_flow_l = 0.0_wp
	1350	volume_flow = 0.0_wp
	1351	mc_factor_l = 0.0_wp
	1352	mc_factor = 0.0_wp
	1353	DO i = nxl, nxr
	1354	DO k = nzb+1, nzt
[2945]	1355	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
[3038]	1356	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1357	BTEST( wall_flags_0(k,j,i), 2 ) )
	1358
[2945]	1359	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
	1360	* dzw(k) * dx &
[3038]	1361	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1362	BTEST( wall_flags_0(k,j,i), 2 ) )
	1363	ENDDO
	1364	ENDDO
	1365	#if defined( __parallel )
[2945]	1366	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
[2938]	1367	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
[2945]	1368	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
[2938]	1369	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
	1370	#else
	1371	volume_flow = volume_flow_l
	1372	mc_factor = mc_factor_l
	1373	#endif
	1374
	1375	mc_factor = volume_flow / mc_factor
	1376
	1377	!
	1378	!-- Add disturbances
	1379	IF ( myidy == id_stg_south ) THEN
	1380
	1381	DO i = nxlg, nxrg
	1382	DO k = nzb, nzt+1
	1383	u(k,-nbgp:-1,i) = ( u(k,-nbgp:-1,i) + dist_xz(k,i,1) ) &
	1384	* mc_factor
	1385	v(k,-nbgp:0,i) = ( v(k,-nbgp:0,i) + dist_xz(k,i,2) ) &
	1386	* mc_factor
	1387	w(k,-nbgp:-1,i) = ( w(k,-nbgp:-1,i) + dist_xz(k,i,3) ) &
	1388	* mc_factor
	1389	ENDDO
	1390	ENDDO
	1391	ENDIF
	1392	IF ( myidy == id_stg_north ) THEN
	1393
	1394	DO i = nxlg, nxrg
	1395	DO k = nzb, nzt+1
	1396	u(k,nyn+1:nyn+nbgp,i) = ( u(k,nyn+1:nyn+nbgp,i) + &
	1397	dist_xz(k,i,1) ) * mc_factor
	1398	v(k,nyn+1:nyn+nbgp,i) = ( v(k,nyn+1:nyn+nbgp,i) + &
	1399	dist_xz(k,i,2) ) * mc_factor
	1400	w(k,nyn+1:nyn+nbgp,i) = ( w(k,nyn+1:nyn+nbgp,i) + &
	1401	dist_xz(k,i,3) ) * mc_factor
	1402	ENDDO
	1403	ENDDO
	1404	ENDIF
[2259]	1405	ENDIF
	1406
	1407	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	1408
	1409	END SUBROUTINE stg_main
	1410
	1411	!------------------------------------------------------------------------------!
	1412	! Description:
	1413	! ------------
	1414	!> Generate a set of random number rand_it wich is equal on each PE
	1415	!> and calculate the velocity seed f_n.
	1416	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
	1417	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1418	!> parts are collected to form the full array.
	1419	!------------------------------------------------------------------------------!
[2938]	1420	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
[2259]	1421
	1422
	1423	USE indices, &
	1424	ONLY: ny
	1425
	1426	IMPLICIT NONE
	1427
[2938]	1428	INTEGER(iwp) :: id !< core ids at respective boundaries
[2259]	1429	INTEGER(iwp) :: j !< loop index in y-direction
	1430	INTEGER(iwp) :: jj !< loop index in y-direction
	1431	INTEGER(iwp) :: k !< loop index in z-direction
	1432	INTEGER(iwp) :: kk !< loop index in z-direction
	1433	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1434
	1435	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
	1436	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1437	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
	1438	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1439
	1440	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
	1441	REAL(wp) :: rand_av !< average of random number
	1442	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1443
	1444	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
	1445	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
[2938]	1446	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
[2259]	1447	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
	1448	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1449
	1450
	1451	!
	1452	!-- Generate random numbers using a seed generated in stg_init.
	1453	!-- The set of random numbers are modified to have an average of 0 and
	1454	!-- unit variance.
	1455	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
	1456
	1457	rand_av = 0.0_wp
	1458	rand_sigma_inv = 0.0_wp
	1459	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
	1460
	1461	DO j = 0, ny
	1462	DO k = nzb, nzt+1
	1463	CALL RANDOM_NUMBER( rand_it(k,j) )
	1464	rand_av = rand_av + rand_it(k,j)
	1465	ENDDO
	1466	ENDDO
	1467
	1468	rand_av = rand_av * nyz_inv
	1469
	1470	DO j = 0, ny
	1471	DO k = nzb, nzt+1
	1472	rand_it(k,j) = rand_it(k,j) - rand_av
	1473	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
	1474	ENDDO
	1475	ENDDO
	1476
	1477	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
	1478
	1479	DO j = 0, ny
	1480	DO k = nzb, nzt+1
	1481	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
	1482	ENDDO
	1483	ENDDO
	1484
	1485	!
	1486	!-- Periodic fill of random number in space
	1487	DO j = 0, ny
	1488	DO k = 1, mergp
	1489	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
	1490	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
	1491	ENDDO
	1492	ENDDO
	1493	DO j = 1, mergp
	1494	DO k = nzb-mergp, nzt+1+mergp
	1495	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
	1496	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
	1497	ENDDO
	1498	ENDDO
	1499
	1500	!
	1501	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1502	n_y2 = n_y * 2
	1503	n_z2 = n_z * 2
	1504	f_n_l = 0.0_wp
	1505
	1506	DO j = nysg, nyng
[2938]	1507	DO k = nzb_x_stg, nzt_x_stg+1
[2259]	1508	DO jj = -n_y2(k), n_y2(k)
	1509	DO kk = -n_z2(k), n_z2(k)
	1510	f_n_l(k,j) = f_n_l(k,j) &
	1511	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
	1512	ENDDO
	1513	ENDDO
	1514	ENDDO
	1515	ENDDO
	1516
	1517	DEALLOCATE( rand_it )
	1518	!
	1519	!-- Gather velocity seeds of full subdomain
[2938]	1520	send_count = nzt_x_stg - nzb_x_stg + 1
	1521	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
[2259]	1522
	1523	#if defined( __parallel )
[2945]	1524	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
	1525	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
[2938]	1526	id, comm1dx, ierr )
[2259]	1527	#else
[2938]	1528	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
[2259]	1529	#endif
	1530
	1531
	1532	END SUBROUTINE stg_generate_seed_yz
	1533
[2938]	1534
	1535
	1536
	1537	!------------------------------------------------------------------------------!
	1538	! Description:
	1539	! ------------
	1540	!> Generate a set of random number rand_it wich is equal on each PE
	1541	!> and calculate the velocity seed f_n.
	1542	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
	1543	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1544	!> parts are collected to form the full array.
	1545	!------------------------------------------------------------------------------!
	1546	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
	1547
	1548
	1549	USE indices, &
	1550	ONLY: nx
	1551
	1552
	1553	IMPLICIT NONE
	1554
	1555	INTEGER(iwp) :: id !< core ids at respective boundaries
	1556	INTEGER(iwp) :: i !< loop index in x-direction
	1557	INTEGER(iwp) :: ii !< loop index in x-direction
	1558	INTEGER(iwp) :: k !< loop index in z-direction
	1559	INTEGER(iwp) :: kk !< loop index in z-direction
	1560	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1561
	1562	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
	1563	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1564	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
	1565	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1566
	1567	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
	1568	REAL(wp) :: rand_av !< average of random number
	1569	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1570
	1571	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
	1572	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
	1573	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
	1574	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
	1575	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1576
	1577
	1578	!
	1579	!-- Generate random numbers using a seed generated in stg_init.
	1580	!-- The set of random numbers are modified to have an average of 0 and
	1581	!-- unit variance.
	1582	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
	1583
	1584	rand_av = 0.0_wp
	1585	rand_sigma_inv = 0.0_wp
	1586	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
	1587
	1588	DO i = 0, nx
	1589	DO k = nzb, nzt+1
	1590	CALL RANDOM_NUMBER( rand_it(k,i) )
	1591	rand_av = rand_av + rand_it(k,i)
	1592	ENDDO
	1593	ENDDO
	1594
	1595	rand_av = rand_av * nxz_inv
	1596
	1597	DO i = 0, nx
	1598	DO k = nzb, nzt+1
	1599	rand_it(k,i) = rand_it(k,i) - rand_av
	1600	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
	1601	ENDDO
	1602	ENDDO
	1603
	1604	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
	1605
	1606	DO i = 0, nx
	1607	DO k = nzb, nzt+1
	1608	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
	1609	ENDDO
	1610	ENDDO
	1611
	1612	!
	1613	!-- Periodic fill of random number in space
	1614	DO i = 0, nx
	1615	DO k = 1, mergp
	1616	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
	1617	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
	1618	ENDDO
	1619	ENDDO
	1620	DO i = 1, mergp
	1621	DO k = nzb-mergp, nzt+1+mergp
	1622	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
	1623	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
	1624	ENDDO
	1625	ENDDO
	1626
	1627	!
	1628	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1629	n_x2 = n_x * 2
	1630	n_z2 = n_z * 2
	1631	f_n_l = 0.0_wp
	1632
	1633	DO i = nxlg, nxrg
	1634	DO k = nzb_y_stg, nzt_y_stg+1
	1635	DO ii = -n_x2(k), n_x2(k)
	1636	DO kk = -n_z2(k), n_z2(k)
	1637	f_n_l(k,i) = f_n_l(k,i) &
	1638	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
	1639	ENDDO
	1640	ENDDO
	1641	ENDDO
	1642	ENDDO
	1643
	1644	DEALLOCATE( rand_it )
	1645
	1646	!
	1647	!-- Gather velocity seeds of full subdomain
	1648	send_count = nzt_y_stg - nzb_y_stg + 1
	1649	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
	1650
	1651
	1652	#if defined( __parallel )
[2945]	1653	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
[2938]	1654	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
	1655	id, comm1dy, ierr )
	1656	#else
	1657	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
	1658	#endif
	1659
	1660
	1661	END SUBROUTINE stg_generate_seed_xz
	1662
[2259]	1663	END MODULE synthetic_turbulence_generator_mod

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