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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 2953

Last change on this file since 2953 was 2946, checked in by suehring, 7 years ago
Bugfix for revision 2945, perform checks only if dynamic input file is available; remove unused module load
Property svn:keywords set to `Id`
File size: 61.2 KB

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

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