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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3053

Last change on this file since 3053 was 3051, checked in by suehring, 6 years ago
Speed-up NetCDF input; Revise NetCDF-input routines and remove input via io-blocks; Temporarily revoke renaming of input variables in dynamic driver; More detailed error messages created; Bugfix in mapping 3D buildings; Bugfix in land-surface model at pavement surfaces; Bugfix in initialization with inifor
Property svn:keywords set to `Id`
File size: 62.0 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 3051 2018-05-30 17:43:55Z suehring $
[3051]	27	! Bugfix in calculation of initial Reynolds-stress tensor.
[3049]	28	!
	29	! 3045 2018-05-28 07:55:41Z Giersch
[3051]	30	! Error messages revised
[3045]	31	!
	32	! 3044 2018-05-25 10:59:41Z gronemeier
[3044]	33	! Add missing variable descriptions
	34	!
	35	! 3038 2018-05-24 10:54:00Z gronemeier
[3038]	36	! updated variable descriptions
	37	!
	38	! 2967 2018-04-13 11:22:08Z raasch
[2967]	39	! bugfix: missing parallel cpp-directives added
[3038]	40	!
[2967]	41	! 2946 2018-04-04 17:01:23Z suehring
[2946]	42	! Remove unused module load
[3038]	43	!
[2946]	44	! 2945 2018-04-04 16:27:14Z suehring
[3038]	45	! - Bugfix in parallelization of synthetic turbulence generator in case the
	46	! z-dimension is not an integral divisor of the number of processors along
[2945]	47	! the x- and y-dimension
[3038]	48	! - Revision in control mimic in case of RAN-LES nesting
	49	!
[2945]	50	! 2938 2018-03-27 15:52:42Z suehring
[3038]	51	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
	52	! realistic Inifor large-scale forcing or RANS-LES nesting
	53	!
[2938]	54	! 2936 2018-03-27 14:49:27Z suehring
[3038]	55	! variable named found has been introduced for checking if restart data was found,
	56	! reading of restart strings has been moved completely to read_restart_data_mod,
	57	! redundant skipping function has been removed, stg_read/write_restart_data
	58	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
[2894]	59	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
[3038]	60	! *** have been removed (Giersch), strings and their respective lengths are
	61	! written out and read now in case of restart runs to get rid of prescribed
	62	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
	63	!
[2894]	64	! 2841 2018-02-27 15:02:57Z suehring
[2841]	65	! Bugfix: wrong placement of include 'mpif.h' corrected
[3038]	66	!
[2841]	67	! 2836 2018-02-26 13:40:05Z Giersch
[3038]	68	! The variables synthetic_turbulence_generator and
[2836]	69	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
	70	! flag is used to define if module related parameters were outputted as restart
[3038]	71	! data
	72	!
[2776]	73	! 2716 2017-12-29 16:35:59Z kanani
[2716]	74	! Corrected "Former revisions" section
[3038]	75	!
[2716]	76	! 2696 2017-12-14 17:12:51Z kanani
	77	! Change in file header (GPL part)
	78	!
	79	! 2669 2017-12-06 16:03:27Z raasch
[2669]	80	! unit number for file containing turbulence generator data changed to 90
	81	! bugfix: preprocessor directives added for MPI specific code
[3038]	82	!
[2669]	83	! 2576 2017-10-24 13:49:46Z Giersch
[3038]	84	! Definition of a new function called stg_skip_global to skip module
[2576]	85	! parameters during reading restart data
[3038]	86	!
[2576]	87	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	88	! stg_read_restart_data is called in stg_parin in the case of a restart run
[3038]	89	!
[2563]	90	! 2259 2017-06-08 09:09:11Z gronemeier
[2259]	91	! Initial revision
	92	!
	93	!
[3038]	94	!
[2259]	95	! Authors:
	96	! --------
	97	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
	98	!
	99	!
	100	! Description:
	101	! ------------
	102	!> The module generates turbulence at the inflow boundary based on a method by
	103	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
	104	!> correction by Kim et al. (2013).
	105	!> The turbulence is correlated based on length scales in y- and z-direction and
	106	!> a time scale for each velocity component. The profiles of length and time
	107	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
	108	!> tensor are read from file STG_PROFILES.
	109	!>
	110	!> @todo test restart
	111	!> enable cyclic_fill
	112	!> implement turbulence generation for e and pt
[2945]	113	!> @todo Input of height-constant length scales via namelist
[2259]	114	!> @note <Enter notes on the module>
	115	!> @bug Height information from input file is not used. Profiles from input
	116	!> must match with current PALM grid.
	117	!> Transformation of length scales to number of gridpoints does not
	118	!> consider grid stretching.
	119	!> In case of restart, velocity seeds differ from precursor run if a11,
	120	!> a22, or a33 are zero.
	121	!------------------------------------------------------------------------------!
	122	MODULE synthetic_turbulence_generator_mod
	123
	124
	125	USE arrays_3d, &
	126	ONLY: mean_inflow_profiles, u, v, w
	127
	128	USE constants, &
	129	ONLY: pi
	130
	131	USE control_parameters, &
[2938]	132	ONLY: initializing_actions, message_string, syn_turb_gen
[2259]	133
	134	USE cpulog, &
	135	ONLY: cpu_log, log_point, log_point_s
	136
	137	USE indices, &
[2938]	138	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
[2259]	139
	140	USE kinds
	141
[2967]	142	#if defined( __parallel ) && !defined( __mpifh )
[2259]	143	USE MPI
[2841]	144	#endif
[2259]	145
	146	USE pegrid, &
[2938]	147	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
[2259]	148
	149	USE transpose_indices, &
	150	ONLY: nzb_x, nzt_x
	151
	152
	153	IMPLICIT NONE
	154
[2967]	155	#if defined( __parallel ) && defined( __mpifh )
[2841]	156	INCLUDE "mpif.h"
	157	#endif
	158
[2776]	159	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
	160	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
[2259]	161
[3038]	162	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
	163	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
	164	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
	165	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
[2938]	166	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
	167	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
	168	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
	169	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
	170	INTEGER(iwp) :: merg !< maximum length scale (in gp)
	171	INTEGER(iwp) :: mergp !< merg + nbgp
[3038]	172	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
	173	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
	174	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
	175	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
[2259]	176
	177	REAL(wp) :: mc_factor !< mass flux correction factor
	178
[2938]	179	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
	180	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
	181	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
	182	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
	183	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
	184	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
	185	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
	186	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
	187	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
	188	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
	189	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
	190	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
	191	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
[2259]	192
	193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
	194
	195	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
	196	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
	197	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
	198	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
	199	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
	200	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
	201	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
	202	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
	203	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
	204
[2938]	205	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
[2259]	206	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
	207	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
[2938]	208	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
[2259]	209	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
	210	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
[2938]	211	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
[2259]	212	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
	213	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
[2938]	214	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
	215	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
	216	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
	217	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
	218	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
	219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
	220	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
	221	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
	222	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
	223	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
	224	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
	225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
[2259]	226
	227
	228	!
	229	!-- PALM interfaces:
	230	!-- Input parameter checks to be done in check_parameters
	231	INTERFACE stg_check_parameters
	232	MODULE PROCEDURE stg_check_parameters
	233	END INTERFACE stg_check_parameters
	234
	235	!
	236	!-- Calculate filter functions
	237	INTERFACE stg_filter_func
	238	MODULE PROCEDURE stg_filter_func
	239	END INTERFACE stg_filter_func
	240
	241	!
[2938]	242	!-- Generate velocity seeds at south and north domain boundary
	243	INTERFACE stg_generate_seed_xz
	244	MODULE PROCEDURE stg_generate_seed_xz
	245	END INTERFACE stg_generate_seed_xz
	246	!
	247	!-- Generate velocity seeds at left and/or right domain boundary
[2259]	248	INTERFACE stg_generate_seed_yz
	249	MODULE PROCEDURE stg_generate_seed_yz
	250	END INTERFACE stg_generate_seed_yz
	251
	252	!
	253	!-- Output of information to the header file
	254	INTERFACE stg_header
	255	MODULE PROCEDURE stg_header
	256	END INTERFACE stg_header
	257
	258	!
	259	!-- Initialization actions
	260	INTERFACE stg_init
	261	MODULE PROCEDURE stg_init
	262	END INTERFACE stg_init
	263
	264	!
	265	!-- Main procedure of synth. turb. gen.
	266	INTERFACE stg_main
	267	MODULE PROCEDURE stg_main
	268	END INTERFACE stg_main
	269
	270	!
	271	!-- Reading of NAMELIST parameters
	272	INTERFACE stg_parin
	273	MODULE PROCEDURE stg_parin
	274	END INTERFACE stg_parin
	275
	276	!
	277	!-- Reading of parameters for restart runs
[2894]	278	INTERFACE stg_rrd_global
	279	MODULE PROCEDURE stg_rrd_global
	280	END INTERFACE stg_rrd_global
[2259]	281
	282	!
	283	!-- Writing of binary output for restart runs
[2894]	284	INTERFACE stg_wrd_global
	285	MODULE PROCEDURE stg_wrd_global
	286	END INTERFACE stg_wrd_global
[2259]	287
	288	SAVE
	289
	290	PRIVATE
	291
	292	!
	293	!-- Public interfaces
	294	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
[2894]	295	stg_wrd_global, stg_rrd_global
[2259]	296
	297	!
	298	!-- Public variables
[2938]	299	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	300	use_syn_turb_gen
[2259]	301
	302
	303	CONTAINS
	304
	305
	306	!------------------------------------------------------------------------------!
	307	! Description:
	308	! ------------
	309	!> Check parameters routine for synthetic turbulence generator
	310	!------------------------------------------------------------------------------!
	311	SUBROUTINE stg_check_parameters
	312
	313
	314	USE control_parameters, &
[2938]	315	ONLY: bc_lr, bc_ns, forcing, nest_domain, rans_mode, turbulent_inflow
[2259]	316
[2938]	317	USE pmc_interface, &
	318	ONLY : rans_mode_parent
[2259]	319
[2938]	320
[2259]	321	IMPLICIT NONE
	322
[2938]	323	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. forcing ) THEN
	324	message_string = 'Synthetic turbulence generator has to be applied ' // &
	325	'when forcing is used and model operates in LES mode.'
	326	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	327	ENDIF
	328
	329	IF ( .NOT. use_syn_turb_gen .AND. nest_domain &
	330	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
	331	message_string = 'Synthetic turbulence generator has to be applied ' // &
	332	'when nesting is applied and parent operates in ' // &
	333	'RANS-mode but current child in LES mode.'
	334	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	335	ENDIF
	336
[2776]	337	IF ( use_syn_turb_gen ) THEN
[2259]	338
[3038]	339	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
[2938]	340
	341	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
	342	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
	343	message_string = 'Using synthetic turbulence generator ' // &
[3046]	344	'requires %initializing_actions = ' // &
[2938]	345	'"set_constant_profiles" or "read_restart_data"'
	346	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
	347	ENDIF
	348
	349	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
	350	message_string = 'Using synthetic turbulence generator ' // &
[3046]	351	'requires &bc_lr = "dirichlet/radiation"'
[2938]	352	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
	353	ENDIF
	354	IF ( bc_ns /= 'cyclic' ) THEN
	355	message_string = 'Using synthetic turbulence generator ' // &
[3046]	356	'requires &bc_ns = "cyclic"'
[2938]	357	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
	358	ENDIF
	359
[2259]	360	ENDIF
	361
	362	IF ( turbulent_inflow ) THEN
	363	message_string = 'Using synthetic turbulence generator ' // &
[2938]	364	'in combination &with turbulent_inflow = .T. '// &
	365	'is not allowed'
[2259]	366	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
	367	ENDIF
	368
	369	ENDIF
	370
	371	END SUBROUTINE stg_check_parameters
	372
	373
	374	!------------------------------------------------------------------------------!
	375	! Description:
	376	! ------------
	377	!> Header output for synthetic turbulence generator
	378	!------------------------------------------------------------------------------!
	379	SUBROUTINE stg_header ( io )
	380
	381
	382	IMPLICIT NONE
	383
	384	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	385
	386	!
	387	!-- Write synthetic turbulence generator Header
	388	WRITE( io, 1 )
[2776]	389	IF ( use_syn_turb_gen ) THEN
[2259]	390	WRITE( io, 2 )
	391	ELSE
	392	WRITE( io, 3 )
	393	ENDIF
	394
	395	1 FORMAT (//' Synthetic turbulence generator information:'/ &
	396	' ------------------------------------------'/)
	397	2 FORMAT (' synthetic turbulence generator switched on')
	398	3 FORMAT (' synthetic turbulence generator switched off')
	399
	400	END SUBROUTINE stg_header
	401
	402
	403	!------------------------------------------------------------------------------!
	404	! Description:
	405	! ------------
	406	!> Initialization of the synthetic turbulence generator
	407	!------------------------------------------------------------------------------!
	408	SUBROUTINE stg_init
	409
	410
	411	USE arrays_3d, &
[2938]	412	ONLY: ddzw, u_init, v_init, zu
[2259]	413
	414	USE control_parameters, &
[2945]	415	ONLY: coupling_char, dz, e_init, forcing, nest_domain, rans_mode
[2259]	416
	417	USE grid_variables, &
[2938]	418	ONLY: ddx, ddy
[2259]	419
[2938]	420	USE indices, &
	421	ONLY: nz
[2259]	422
[2945]	423	USE pmc_interface, &
	424	ONLY : rans_mode_parent
[2938]	425
[2945]	426
[2259]	427	IMPLICIT NONE
	428
[2938]	429	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
	430
[2669]	431	#if defined( __parallel )
[2259]	432	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
	433	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
[2669]	434	#endif
[2259]	435
[2938]	436	INTEGER(iwp) :: i !> grid index in x-direction
[2259]	437	INTEGER(iwp) :: j !> loop index
	438	INTEGER(iwp) :: k !< index
	439	INTEGER(iwp) :: newtype !< dummy MPI type
	440	INTEGER(iwp) :: realsize !< size of REAL variables
	441	INTEGER(iwp) :: nseed !< dimension of random number seed
	442	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
	443
	444	!
	445	!-- Dummy variables used for reading profiles
	446	REAL(wp) :: d1 !< u profile
	447	REAL(wp) :: d2 !< v profile
	448	REAL(wp) :: d3 !< w profile
	449	REAL(wp) :: d5 !< e profile
	450	REAL(wp) :: d11 !< vertical interpolation for a11
	451	REAL(wp) :: d21 !< vertical interpolation for a21
	452	REAL(wp) :: d22 !< vertical interpolation for a22
[2938]	453	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
[2259]	454	REAL(wp) :: luy !< length scale for u in y direction
	455	REAL(wp) :: luz !< length scale for u in z direction
	456	REAL(wp) :: lvy !< length scale for v in y direction
	457	REAL(wp) :: lvz !< length scale for v in z direction
	458	REAL(wp) :: lwy !< length scale for w in y direction
	459	REAL(wp) :: lwz !< length scale for w in z direction
[3038]	460	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
[2259]	461	REAL(wp) :: zz !< height
	462
[3044]	463	REAL(wp) :: length_scale_surface !< typical length scale
	464	REAL(wp) :: r_ii_0 !< correction factor
	465	REAL(wp) :: time_scale !< typical time scale
	466	REAL(wp) :: length_scale_z !< typical length scale
[2938]	467
[2259]	468	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
	469	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
	470	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
	471	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
	472	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
	473	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
	474
	475
	476	#if defined( __parallel )
	477	CALL MPI_BARRIER( comm2d, ierr )
	478	#endif
	479
	480	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	481
	482	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
	483	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
	484
	485	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
	486	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
[2938]	487	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
	488	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
	489	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
[2259]	490	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
	491
[2669]	492	#if defined( __parallel )
[2259]	493	!
[2938]	494	!-- Determine processor decomposition of z-axis along x- and y-direction
	495	nnz = nz / pdims(1)
[2945]	496	nzb_x_stg = 1 + myidx * INT( nnz )
	497	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
[2938]	498
[3038]	499	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
[2945]	500	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
	501	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
[2938]	502
[2945]	503	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	504	.NOT. rans_mode ) ) THEN
[2938]	505	nnz = nz / pdims(2)
[2945]	506	nzb_y_stg = 1 + myidy * INT( nnz )
	507	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
[2938]	508
[2945]	509	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
[3038]	510	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
[2945]	511	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
[2938]	512	ENDIF
	513
	514	!
[2259]	515	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
	516	!-- velocity seeds
	517	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
	518	extent = 1 * realsize
[2938]	519	!
[3038]	520	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
	521	!-- layer
[2938]	522	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
[2259]	523	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
	524	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	525	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
	526	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
	527	CALL MPI_TYPE_FREE( newtype, ierr )
	528
[2938]	529	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	530	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
[2259]	531	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	532	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
	533	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
	534	CALL MPI_TYPE_FREE( newtype, ierr )
	535
	536	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
[2938]	537	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
[2259]	538
[2938]	539	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
	540	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
[2259]	541
	542	DO j = 1, pdims(1)
[2938]	543	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
[2259]	544	ENDDO
[2938]	545	!
[3038]	546	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
	547	!-- layer
[2938]	548	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
[2945]	549	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	550	.NOT. rans_mode ) ) THEN
	551	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
[2938]	552	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	553	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
	554	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
	555	CALL MPI_TYPE_FREE( newtype, ierr )
	556
	557	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	558	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
[2938]	559	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	560	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
	561	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
	562	CALL MPI_TYPE_FREE( newtype, ierr )
	563
	564	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
	565	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
	566
	567	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
	568	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
	569
	570	DO j = 1, pdims(2)
	571	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
	572	ENDDO
	573
	574	ENDIF
	575
[2669]	576	#endif
[2259]	577	!
	578	!-- Define seed of random number
	579	CALL RANDOM_SEED()
	580	CALL RANDOM_SEED( size=nseed )
	581	ALLOCATE( seed(1:nseed) )
	582	DO j = 1, nseed
	583	seed(j) = startseed + j
	584	ENDDO
	585	CALL RANDOM_SEED(put=seed)
	586
	587	!-- Read inflow profile
	588	!-- Height levels of profiles in input profile is as follows:
	589	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
	590	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
	591	!-- WARNING: zz is not used at the moment
[2938]	592	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
	593	EXIST = file_stg_exist )
[2259]	594
[2938]	595	IF ( file_stg_exist ) THEN
[2259]	596
[2938]	597	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
	598	FORM='FORMATTED')
	599	!
	600	!-- Skip header
	601	READ( 90, * )
[2259]	602
[2938]	603	DO k = nzb, nzt+1
	604	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
	605	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
	606	d1, d2, d3, d5
	607
[2259]	608	!
[2938]	609	!-- Convert length scales from meter to number of grid points
	610	nuy(k) = INT( luy * ddy )
	611	nuz(k) = INT( luz / dz )
	612	nvy(k) = INT( lvy * ddy )
	613	nvz(k) = INT( lvz / dz )
	614	nwy(k) = INT( lwy * ddy )
	615	nwz(k) = INT( lwz / dz )
	616	!
	617	!-- Workaround, assume isotropic turbulence
	618	nwx(k) = nwy(k)
	619	nvx(k) = nvy(k)
	620	nux(k) = nuy(k)
	621	!
	622	!-- Save Mean inflow profiles
	623	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	624	mean_inflow_profiles(k,1) = d1
	625	mean_inflow_profiles(k,2) = d2
	626	! mean_inflow_profiles(k,4) = d4
	627	mean_inflow_profiles(k,5) = d5
	628	ENDIF
	629	ENDDO
[2259]	630
[2938]	631	CLOSE( 90 )
[3038]	632
[2938]	633	ELSE
[2259]	634	!
[3038]	635	!-- Set-up defaul length scales. Assume exponentially decreasing length
	636	!-- scales and isotropic turbulence.
	637	!-- Typical length (time) scales of 100 m (s) should be a good compromise
	638	!-- between all stratrifications. Near-surface variances are fixed to
[2938]	639	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
[3038]	640	!-- Vertical fluxes
[2938]	641	length_scale_surface = 100.0_wp
	642	r_ii_0 = 0.1_wp
	643	time_scale = 100.0_wp
	644	DO k = nzb+1, nzt+1
	645	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
	646	0.0_wp, &
	647	zu(k) > 0.3 * zu(nzt) &
	648	)
	649	length_scale_z = length_scale_surface * EXP( dum_exp )
[2259]	650
[2938]	651	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
	652	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	653	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	654	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	655	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	656	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	657	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	658	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	659	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
[2259]	660
[2938]	661	r11(k) = r_ii_0 * EXP( dum_exp )
	662	r22(k) = r_ii_0 * EXP( dum_exp )
	663	r33(k) = r_ii_0 * EXP( dum_exp )
[2259]	664
[2938]	665	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	666	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	667	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	668
	669	tu(k) = time_scale
	670	tv(k) = time_scale
	671	tw(k) = time_scale
	672
	673	ENDDO
	674	nux(nzb) = nux(nzb+1)
	675	nuy(nzb) = nuy(nzb+1)
	676	nuz(nzb) = nuz(nzb+1)
	677	nvx(nzb) = nvx(nzb+1)
	678	nvy(nzb) = nvy(nzb+1)
	679	nvz(nzb) = nvz(nzb+1)
	680	nwx(nzb) = nwx(nzb+1)
	681	nwy(nzb) = nwy(nzb+1)
	682	nwz(nzb) = nwz(nzb+1)
	683
	684	r11(nzb) = r11(nzb+1)
	685	r22(nzb) = r22(nzb+1)
	686	r33(nzb) = r33(nzb+1)
	687
	688	r21(nzb) = r11(nzb+1)
	689	r31(nzb) = r31(nzb+1)
	690	r32(nzb) = r32(nzb+1)
	691
	692	tu(nzb) = time_scale
	693	tv(nzb) = time_scale
	694	tw(nzb) = time_scale
	695
	696	ENDIF
	697
[2259]	698	!
[2938]	699	!-- Assign initial profiles
[3038]	700	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
[2938]	701	u_init = mean_inflow_profiles(:,1)
	702	v_init = mean_inflow_profiles(:,2)
	703	!pt_init = mean_inflow_profiles(:,4)
	704	e_init = MAXVAL( mean_inflow_profiles(:,5) )
	705	ENDIF
	706	!
[2259]	707	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
	708	DO k = nzb, nzt+1
	709	IF ( r11(k) > 0.0_wp ) THEN
	710	a11(k) = SQRT( r11(k) )
	711	a21(k) = r21(k) / a11(k)
	712	ELSE
	713	a11(k) = 0.0_wp
	714	a21(k) = 0.0_wp
	715	ENDIF
	716
	717	a22(k) = r22(k) - a21(k)**2
	718	IF ( a22(k) > 0.0_wp ) THEN
	719	a22(k) = SQRT( a22(k) )
	720	ELSE
	721	a22(k) = 0.0_wp
	722	ENDIF
	723
	724	!
	725	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
	726	!-- d21, d22) because of different vertical grid
	727	IF ( k .le. nzt ) THEN
	728	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
	729	IF ( d11 > 0.0_wp ) THEN
	730	d11 = SQRT( d11 )
	731	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
	732	a31(k) = r31(k) / d11
	733	ELSE
	734	d21 = 0.0_wp
	735	a31(k) = 0.0_wp
	736	ENDIF
	737
	738	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
	739	IF ( d22 > 0.0_wp ) THEN
	740	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
	741	ELSE
	742	a32(k) = 0.0_wp
	743	ENDIF
	744
	745	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
	746	IF ( a33(k) > 0.0_wp ) THEN
	747	a33(k) = SQRT( a33(k) )
	748	ELSE
	749	a33(k) = 0.0_wp
	750	ENDIF
	751	ELSE
	752	a31(k) = a31(k-1)
	753	a32(k) = a32(k-1)
	754	a33(k) = a33(k-1)
	755	ENDIF
	756
	757	ENDDO
	758	!
	759	!-- Define the size of the filter functions and allocate them.
	760	merg = 0
	761
	762	! arrays must be large enough to cover the largest length scale
	763	DO k = nzb, nzt+1
[2938]	764	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
	765	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
	766	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
[2259]	767	IF ( j > merg ) merg = j
	768	ENDDO
	769
	770	merg = 2 * merg
	771	mergp = merg + nbgp
	772
[2938]	773	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
	774	buy(-merg:merg,nzb:nzt+1), &
	775	buz(-merg:merg,nzb:nzt+1), &
	776	bvx(-merg:merg,nzb:nzt+1), &
	777	bvy(-merg:merg,nzb:nzt+1), &
	778	bvz(-merg:merg,nzb:nzt+1), &
	779	bwx(-merg:merg,nzb:nzt+1), &
	780	bwy(-merg:merg,nzb:nzt+1), &
	781	bwz(-merg:merg,nzb:nzt+1) )
[2259]	782
	783	!
[2938]	784	!-- Allocate velocity seeds for turbulence at xz-layer
	785	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
	786	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
	787	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
[2259]	788
[2938]	789	!
	790	!-- Allocate velocity seeds for turbulence at yz-layer
	791	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
	792	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
	793	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
[2259]	794
[2938]	795	fu_xz = 0.0_wp
	796	fuo_xz = 0.0_wp
	797	fv_xz = 0.0_wp
	798	fvo_xz = 0.0_wp
	799	fw_xz = 0.0_wp
	800	fwo_xz = 0.0_wp
	801
	802	fu_yz = 0.0_wp
	803	fuo_yz = 0.0_wp
	804	fv_yz = 0.0_wp
	805	fvo_yz = 0.0_wp
	806	fw_yz = 0.0_wp
	807	fwo_yz = 0.0_wp
	808
[2259]	809	!
	810	!-- Create filter functions
[2938]	811	CALL stg_filter_func( nux, bux ) !filter ux
[2259]	812	CALL stg_filter_func( nuy, buy ) !filter uy
	813	CALL stg_filter_func( nuz, buz ) !filter uz
[2938]	814	CALL stg_filter_func( nvx, bvx ) !filter vx
[2259]	815	CALL stg_filter_func( nvy, bvy ) !filter vy
	816	CALL stg_filter_func( nvz, bvz ) !filter vz
[2938]	817	CALL stg_filter_func( nwx, bwx ) !filter wx
[2259]	818	CALL stg_filter_func( nwy, bwy ) !filter wy
	819	CALL stg_filter_func( nwz, bwz ) !filter wz
	820
	821	#if defined( __parallel )
	822	CALL MPI_BARRIER( comm2d, ierr )
	823	#endif
	824
	825	!
[2938]	826	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
	827	! time step.
	828	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
	829	! are 0 compared to the prerun. This is mostly for k=nzt+1.
[2259]	830	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
[2938]	831	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
	832
	833	IF ( myidx == id_stg_left ) i = -1
	834	IF ( myidx == id_stg_right ) i = nxr+1
	835
[2259]	836	DO j = nysg, nyng
	837	DO k = nzb, nzt+1
	838
	839	IF ( a11(k) .NE. 0._wp ) THEN
[2938]	840	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
[2259]	841	ELSE
[2938]	842	fu_yz(k,j) = 0._wp
[2259]	843	ENDIF
	844
	845	IF ( a22(k) .NE. 0._wp ) THEN
[2938]	846	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
	847	v_init(k) ) / a22(k)
[2259]	848	ELSE
[2938]	849	fv_yz(k,j) = 0._wp
[2259]	850	ENDIF
	851
	852	IF ( a33(k) .NE. 0._wp ) THEN
[2938]	853	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
	854	a32(k) * fv_yz(k,j) ) / a33(k)
[2259]	855	ELSE
[2938]	856	fw_yz = 0._wp
[2259]	857	ENDIF
	858
	859	ENDDO
	860	ENDDO
	861	ENDIF
	862	ENDIF
	863
	864	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	865
	866	END SUBROUTINE stg_init
	867
	868
	869	!------------------------------------------------------------------------------!
	870	! Description:
	871	! ------------
	872	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
	873	!> (Xie and Castro, 2008)
	874	!------------------------------------------------------------------------------!
	875	SUBROUTINE stg_filter_func( nxx, bxx )
	876
	877
	878	IMPLICIT NONE
	879
	880	INTEGER(iwp) :: k !< loop index
	881	INTEGER(iwp) :: n_k !< length scale nXX in height k
	882	INTEGER(iwp) :: n_k2 !< n_k * 2
	883	INTEGER(iwp) :: nf !< index for length scales
	884
	885	REAL(wp) :: bdenom !< denominator for filter functions bXX
	886	REAL(wp) :: qsi = 1.0_wp !< minimization factor
	887
	888	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
	889
	890	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
	891
	892
	893	bxx = 0.0_wp
	894
	895	DO k = nzb, nzt+1
	896	bdenom = 0.0_wp
	897	n_k = nxx(k)
	898	IF ( n_k /= 0 ) THEN
	899	n_k2 = n_k * 2
	900
	901	!
	902	!-- ( Eq.10 )^2
	903	DO nf = -n_k2, n_k2
	904	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
	905	ENDDO
	906
	907	!
	908	!-- ( Eq.9 )
	909	bdenom = SQRT( bdenom )
	910	DO nf = -n_k2, n_k2
	911	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
	912	ENDDO
	913	ENDIF
	914	ENDDO
	915
	916	END SUBROUTINE stg_filter_func
	917
	918
	919	!------------------------------------------------------------------------------!
	920	! Description:
	921	! ------------
	922	!> Parin for &stg_par for synthetic turbulence generator
	923	!------------------------------------------------------------------------------!
	924	SUBROUTINE stg_parin
	925
	926
	927	IMPLICIT NONE
	928
	929	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	930
	931
[2776]	932	NAMELIST /stg_par/ use_syn_turb_gen
[2259]	933
	934	line = ' '
	935
	936	!
	937	!-- Try to find stg package
	938	REWIND ( 11 )
	939	line = ' '
	940	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
	941	READ ( 11, '(A)', END=10 ) line
	942	ENDDO
	943	BACKSPACE ( 11 )
	944
	945	!
	946	!-- Read namelist
	947	READ ( 11, stg_par )
	948
	949	!
	950	!-- Set flag that indicates that the synthetic turbulence generator is switched
	951	!-- on
[2776]	952	syn_turb_gen = .TRUE.
[2259]	953
[2563]	954
[2259]	955	10 CONTINUE
	956
	957	END SUBROUTINE stg_parin
	958
	959
	960	!------------------------------------------------------------------------------!
	961	! Description:
	962	! ------------
[2894]	963	!> This routine reads the respective restart data.
[2576]	964	!------------------------------------------------------------------------------!
[2894]	965	SUBROUTINE stg_rrd_global( found )
[2576]	966
	967
[2894]	968	USE control_parameters, &
	969	ONLY: length, restart_string
[2576]	970
	971
[2894]	972	IMPLICIT NONE
[2576]	973
[3044]	974	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
[2259]	975
	976
[2894]	977	found = .TRUE.
[2259]	978
[3038]	979
[2894]	980	SELECT CASE ( restart_string(1:length) )
[2259]	981
[2894]	982	CASE ( 'mc_factor' )
	983	READ ( 13 ) mc_factor
	984	CASE ( 'use_syn_turb_gen' )
	985	READ ( 13 ) use_syn_turb_gen
[2259]	986
[2894]	987	CASE DEFAULT
[2259]	988
[3038]	989	found = .FALSE.
[2259]	990
[2894]	991	END SELECT
[2259]	992
	993
[2894]	994	END SUBROUTINE stg_rrd_global
[2259]	995
	996
	997	!------------------------------------------------------------------------------!
	998	! Description:
	999	! ------------
	1000	!> This routine writes the respective restart data.
	1001	!------------------------------------------------------------------------------!
[2894]	1002	SUBROUTINE stg_wrd_global
[2259]	1003
	1004
	1005	IMPLICIT NONE
	1006
[2894]	1007	CALL wrd_write_string( 'mc_factor' )
[2259]	1008	WRITE ( 14 ) mc_factor
	1009
[2894]	1010	CALL wrd_write_string( 'use_syn_turb_gen' )
	1011	WRITE ( 14 ) use_syn_turb_gen
[2259]	1012
	1013
[2894]	1014	END SUBROUTINE stg_wrd_global
[2259]	1015
[2894]	1016
[2259]	1017	!------------------------------------------------------------------------------!
	1018	! Description:
	1019	! ------------
	1020	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
	1021	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
	1022	!> following suggestions of Kim et al. (2013), and using a Lund rotation
	1023	!> (Lund, 1998).
	1024	!------------------------------------------------------------------------------!
	1025	SUBROUTINE stg_main
	1026
	1027
	1028	USE arrays_3d, &
	1029	ONLY: dzw
	1030
	1031	USE control_parameters, &
[2938]	1032	ONLY: dt_3d, forcing, intermediate_timestep_count, nest_domain, &
[2945]	1033	rans_mode, simulated_time, volume_flow_initial
[2259]	1034
[2938]	1035	USE grid_variables, &
	1036	ONLY: dx, dy
	1037
[2259]	1038	USE indices, &
[2938]	1039	ONLY: wall_flags_0
[2259]	1040
	1041	USE statistics, &
	1042	ONLY: weight_substep
	1043
[2945]	1044	USE pmc_interface, &
	1045	ONLY : rans_mode_parent
[2259]	1046
[2945]	1047
[2259]	1048	IMPLICIT NONE
	1049
[2938]	1050	INTEGER(iwp) :: i !< grid index in x-direction
[2259]	1051	INTEGER(iwp) :: j !< loop index in y-direction
	1052	INTEGER(iwp) :: k !< loop index in z-direction
	1053
	1054	REAL(wp) :: dt_stg !< wheighted subtimestep
	1055	REAL(wp) :: mc_factor_l !< local mass flux correction factor
[2938]	1056	REAL(wp) :: volume_flow !< mass flux through lateral boundary
	1057	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
[2259]	1058
[2938]	1059	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
	1060	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
[2259]	1061
	1062
	1063	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	1064
	1065	!
	1066	!-- Calculate time step which is needed for filter functions
	1067	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
	1068
	1069	!
	1070	!-- Initial value of fu, fv, fw
	1071	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
[2938]	1072	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
	1073	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
	1074	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
	1075
[2945]	1076	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	1077	.NOT. rans_mode ) ) THEN
[2938]	1078	!
	1079	!-- Generate turbulence at right boundary
	1080	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
	1081	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
	1082	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
	1083	!
	1084	!-- Generate turbulence at north boundary
	1085	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
	1086	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
	1087	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
	1088	!
	1089	!-- Generate turbulence at south boundary
	1090	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
	1091	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
	1092	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
	1093	ENDIF
[2259]	1094	velocity_seed_initialized = .TRUE.
	1095	ENDIF
	1096	!
	1097	!-- New set of fu, fv, fw
[2938]	1098	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
	1099	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
	1100	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
[2259]	1101
[2945]	1102	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
	1103	.NOT. rans_mode ) ) THEN
[2938]	1104	!
	1105	!-- Generate turbulence at right boundary
	1106	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
	1107	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
	1108	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
	1109	!
	1110	!-- Generate turbulence at north boundary
	1111	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
	1112	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
	1113	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
	1114	!
	1115	!-- Generate turbulence at south boundary
	1116	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
	1117	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
	1118	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
	1119	ENDIF
	1120	!
	1121	!-- Turbulence generation at left and or right boundary
	1122	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
[2259]	1123
	1124	DO j = nysg, nyng
	1125	DO k = nzb, nzt + 1
	1126	!
	1127	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1128	IF ( tu(k) == 0.0_wp ) THEN
[2938]	1129	fu_yz(k,j) = fuo_yz(k,j)
[2259]	1130	ELSE
[2938]	1131	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1132	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
[2259]	1133	ENDIF
	1134
	1135	IF ( tv(k) == 0.0_wp ) THEN
[2938]	1136	fv_yz(k,j) = fvo_yz(k,j)
[2259]	1137	ELSE
[2938]	1138	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1139	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
[2259]	1140	ENDIF
	1141
	1142	IF ( tw(k) == 0.0_wp ) THEN
[2938]	1143	fw_yz(k,j) = fwo_yz(k,j)
[2259]	1144	ELSE
[2938]	1145	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1146	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
[2259]	1147	ENDIF
	1148	!
	1149	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1150	!-- Additional factors are added to improve the variance of v and w
	1151	IF( k == 0 ) THEN
[2938]	1152	dist_yz(k,j,1) = 0.0_wp
	1153	dist_yz(k,j,2) = 0.0_wp
	1154	dist_yz(k,j,3) = 0.0_wp
	1155	! dist_yz(k,j,4) = 0.0_wp
	1156	! dist_yz(k,j,5) = 0.0_wp
[2259]	1157	ELSE
[2938]	1158	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
[2259]	1159	!experimental test of 1.2
[2945]	1160	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
[2259]	1161	* 1.2_wp ) &
[2945]	1162	* ( a21(k) * fu_yz(k,j) &
[2938]	1163	+ a22(k) * fv_yz(k,j) )
[2945]	1164	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
[2259]	1165	* 1.3_wp ) &
[2945]	1166	* ( a31(k) * fu_yz(k,j) &
	1167	+ a32(k) * fv_yz(k,j) &
[2938]	1168	+ a33(k) * fw_yz(k,j) )
[2259]	1169	! Calculation for pt and e not yet implemented
[2938]	1170	! dist_yz(k,j,4) = 0.0_wp
	1171	! dist_yz(k,j,5) = 0.0_wp
[2259]	1172	ENDIF
	1173
	1174	ENDDO
	1175	ENDDO
	1176
	1177	!
	1178	!-- Mass flux correction following Kim et al. (2013)
	1179	!-- This correction factor insures that the mass flux is preserved at the
	1180	!-- inflow boundary
[3038]	1181	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
[2938]	1182	mc_factor_l = 0.0_wp
	1183	mc_factor = 0.0_wp
	1184	DO j = nys, nyn
	1185	DO k = nzb+1, nzt
	1186	mc_factor_l = mc_factor_l + dzw(k) * &
	1187	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
	1188	ENDDO
[2259]	1189	ENDDO
	1190
	1191	#if defined( __parallel )
[2938]	1192	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1193	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
[2259]	1194	#else
[2938]	1195	mc_factor = mc_factor_l
[2259]	1196	#endif
	1197
[2938]	1198	mc_factor = volume_flow_initial(1) / mc_factor
[2259]	1199
	1200	!
[2938]	1201	!-- Add disturbance at the inflow
	1202	DO j = nysg, nyng
	1203	DO k = nzb, nzt+1
	1204	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
	1205	dist_yz(k,j,1) ) * mc_factor
	1206	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
	1207	dist_yz(k,j,2) ) * mc_factor
	1208	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
	1209	ENDDO
[2259]	1210	ENDDO
[2938]	1211
	1212	ELSE
	1213	!
	1214	!-- First, calculate volume flow at yz boundary
	1215	IF ( myidx == id_stg_left ) i = nxl
	1216	IF ( myidx == id_stg_right ) i = nxr+1
	1217
	1218	volume_flow_l = 0.0_wp
	1219	volume_flow = 0.0_wp
	1220	mc_factor_l = 0.0_wp
	1221	mc_factor = 0.0_wp
	1222	DO j = nys, nyn
	1223	DO k = nzb+1, nzt
	1224	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
[3038]	1225	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1226	BTEST( wall_flags_0(k,j,i), 1 ) )
	1227
	1228	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
	1229	* dzw(k) * dy &
[3038]	1230	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1231	BTEST( wall_flags_0(k,j,i), 1 ) )
	1232	ENDDO
	1233	ENDDO
	1234	#if defined( __parallel )
	1235	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
	1236	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1237	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1238	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1239	#else
	1240	volume_flow = volume_flow_l
	1241	mc_factor = mc_factor_l
	1242	#endif
	1243
	1244	mc_factor = volume_flow / mc_factor
	1245
	1246	!
	1247	!-- Add disturbances
	1248	IF ( myidx == id_stg_left ) THEN
	1249
	1250	DO j = nysg, nyng
	1251	DO k = nzb, nzt+1
	1252	u(k,j,-nbgp+1:0) = ( u(k,j,-nbgp+1:0) + dist_yz(k,j,1) ) &
	1253	* mc_factor
	1254	v(k,j,-nbgp:-1) = ( v(k,j,-nbgp:-1) + dist_yz(k,j,2) ) &
	1255	* mc_factor
	1256	w(k,j,-nbgp:-1) = ( w(k,j,-nbgp:-1) + dist_yz(k,j,3) ) &
	1257	* mc_factor
	1258	ENDDO
	1259	ENDDO
	1260	ENDIF
	1261	IF ( myidx == id_stg_right ) THEN
	1262
	1263	DO j = nysg, nyng
	1264	DO k = nzb, nzt+1
	1265	u(k,j,nxr+1:nxr+nbgp) = ( u(k,j,nxr+1:nxr+nbgp) + &
	1266	dist_yz(k,j,1) ) * mc_factor
	1267	v(k,j,nxr+1:nxr+nbgp) = ( v(k,j,nxr+1:nxr+nbgp) + &
	1268	dist_yz(k,j,2) ) * mc_factor
	1269	w(k,j,nxr+1:nxr+nbgp) = ( w(k,j,nxr+1:nxr+nbgp) + &
	1270	dist_yz(k,j,3) ) * mc_factor
	1271	ENDDO
	1272	ENDDO
	1273	ENDIF
	1274	ENDIF
	1275
	1276	ENDIF
	1277	!
	1278	!-- Turbulence generation at north and south boundary
	1279	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
	1280
	1281	DO i = nxlg, nxrg
	1282	DO k = nzb, nzt + 1
	1283	!
	1284	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1285	IF ( tu(k) == 0.0_wp ) THEN
	1286	fu_xz(k,i) = fuo_xz(k,i)
	1287	ELSE
	1288	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1289	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
	1290	ENDIF
	1291
	1292	IF ( tv(k) == 0.0_wp ) THEN
	1293	fv_xz(k,i) = fvo_xz(k,i)
	1294	ELSE
	1295	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1296	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
	1297	ENDIF
	1298
	1299	IF ( tw(k) == 0.0_wp ) THEN
	1300	fw_xz(k,i) = fwo_xz(k,i)
	1301	ELSE
	1302	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1303	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
	1304	ENDIF
	1305	!
	1306	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1307	!-- Additional factors are added to improve the variance of v and w
	1308	IF( k == 0 ) THEN
	1309	dist_xz(k,i,1) = 0.0_wp
	1310	dist_xz(k,i,2) = 0.0_wp
	1311	dist_xz(k,i,3) = 0.0_wp
	1312
	1313	ELSE
	1314	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
	1315	!experimental test of 1.2
	1316	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
	1317	* 1.2_wp ) &
	1318	* ( a21(k) * fu_xz(k,i) &
	1319	+ a22(k) * fv_xz(k,i) )
	1320	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
	1321	* 1.3_wp ) &
	1322	* ( a31(k) * fu_xz(k,i) &
	1323	+ a32(k) * fv_xz(k,i) &
	1324	+ a33(k) * fw_xz(k,i) )
	1325	ENDIF
	1326
	1327	ENDDO
[2259]	1328	ENDDO
[2938]	1329	!
	1330	!-- Mass flux correction following Kim et al. (2013)
	1331	!-- This correction factor insures that the mass flux is preserved at the
	1332	!-- inflow boundary.
	1333	!-- First, calculate volume flow at xz boundary
	1334	IF ( myidy == id_stg_south ) j = nys
	1335	IF ( myidy == id_stg_north ) j = nyn+1
[2259]	1336
[2938]	1337	volume_flow_l = 0.0_wp
	1338	volume_flow = 0.0_wp
	1339	mc_factor_l = 0.0_wp
	1340	mc_factor = 0.0_wp
	1341	DO i = nxl, nxr
	1342	DO k = nzb+1, nzt
[2945]	1343	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
[3038]	1344	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1345	BTEST( wall_flags_0(k,j,i), 2 ) )
	1346
[2945]	1347	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
	1348	* dzw(k) * dx &
[3038]	1349	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1350	BTEST( wall_flags_0(k,j,i), 2 ) )
	1351	ENDDO
	1352	ENDDO
	1353	#if defined( __parallel )
[2945]	1354	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
[2938]	1355	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
[2945]	1356	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
[2938]	1357	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
	1358	#else
	1359	volume_flow = volume_flow_l
	1360	mc_factor = mc_factor_l
	1361	#endif
	1362
	1363	mc_factor = volume_flow / mc_factor
	1364
	1365	!
	1366	!-- Add disturbances
	1367	IF ( myidy == id_stg_south ) THEN
	1368
	1369	DO i = nxlg, nxrg
	1370	DO k = nzb, nzt+1
	1371	u(k,-nbgp:-1,i) = ( u(k,-nbgp:-1,i) + dist_xz(k,i,1) ) &
	1372	* mc_factor
	1373	v(k,-nbgp:0,i) = ( v(k,-nbgp:0,i) + dist_xz(k,i,2) ) &
	1374	* mc_factor
	1375	w(k,-nbgp:-1,i) = ( w(k,-nbgp:-1,i) + dist_xz(k,i,3) ) &
	1376	* mc_factor
	1377	ENDDO
	1378	ENDDO
	1379	ENDIF
	1380	IF ( myidy == id_stg_north ) THEN
	1381
	1382	DO i = nxlg, nxrg
	1383	DO k = nzb, nzt+1
	1384	u(k,nyn+1:nyn+nbgp,i) = ( u(k,nyn+1:nyn+nbgp,i) + &
	1385	dist_xz(k,i,1) ) * mc_factor
	1386	v(k,nyn+1:nyn+nbgp,i) = ( v(k,nyn+1:nyn+nbgp,i) + &
	1387	dist_xz(k,i,2) ) * mc_factor
	1388	w(k,nyn+1:nyn+nbgp,i) = ( w(k,nyn+1:nyn+nbgp,i) + &
	1389	dist_xz(k,i,3) ) * mc_factor
	1390	ENDDO
	1391	ENDDO
	1392	ENDIF
[2259]	1393	ENDIF
	1394
	1395	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	1396
	1397	END SUBROUTINE stg_main
	1398
	1399	!------------------------------------------------------------------------------!
	1400	! Description:
	1401	! ------------
	1402	!> Generate a set of random number rand_it wich is equal on each PE
	1403	!> and calculate the velocity seed f_n.
	1404	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
	1405	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1406	!> parts are collected to form the full array.
	1407	!------------------------------------------------------------------------------!
[2938]	1408	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
[2259]	1409
	1410
	1411	USE indices, &
	1412	ONLY: ny
	1413
	1414	IMPLICIT NONE
	1415
[2938]	1416	INTEGER(iwp) :: id !< core ids at respective boundaries
[2259]	1417	INTEGER(iwp) :: j !< loop index in y-direction
	1418	INTEGER(iwp) :: jj !< loop index in y-direction
	1419	INTEGER(iwp) :: k !< loop index in z-direction
	1420	INTEGER(iwp) :: kk !< loop index in z-direction
	1421	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1422
	1423	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
	1424	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1425	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
	1426	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1427
	1428	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
	1429	REAL(wp) :: rand_av !< average of random number
	1430	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1431
	1432	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
	1433	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
[2938]	1434	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
[2259]	1435	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
	1436	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1437
	1438
	1439	!
	1440	!-- Generate random numbers using a seed generated in stg_init.
	1441	!-- The set of random numbers are modified to have an average of 0 and
	1442	!-- unit variance.
	1443	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
	1444
	1445	rand_av = 0.0_wp
	1446	rand_sigma_inv = 0.0_wp
	1447	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
	1448
	1449	DO j = 0, ny
	1450	DO k = nzb, nzt+1
	1451	CALL RANDOM_NUMBER( rand_it(k,j) )
	1452	rand_av = rand_av + rand_it(k,j)
	1453	ENDDO
	1454	ENDDO
	1455
	1456	rand_av = rand_av * nyz_inv
	1457
	1458	DO j = 0, ny
	1459	DO k = nzb, nzt+1
	1460	rand_it(k,j) = rand_it(k,j) - rand_av
	1461	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
	1462	ENDDO
	1463	ENDDO
	1464
	1465	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
	1466
	1467	DO j = 0, ny
	1468	DO k = nzb, nzt+1
	1469	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
	1470	ENDDO
	1471	ENDDO
	1472
	1473	!
	1474	!-- Periodic fill of random number in space
	1475	DO j = 0, ny
	1476	DO k = 1, mergp
	1477	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
	1478	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
	1479	ENDDO
	1480	ENDDO
	1481	DO j = 1, mergp
	1482	DO k = nzb-mergp, nzt+1+mergp
	1483	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
	1484	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
	1485	ENDDO
	1486	ENDDO
	1487
	1488	!
	1489	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1490	n_y2 = n_y * 2
	1491	n_z2 = n_z * 2
	1492	f_n_l = 0.0_wp
	1493
	1494	DO j = nysg, nyng
[2938]	1495	DO k = nzb_x_stg, nzt_x_stg+1
[2259]	1496	DO jj = -n_y2(k), n_y2(k)
	1497	DO kk = -n_z2(k), n_z2(k)
	1498	f_n_l(k,j) = f_n_l(k,j) &
	1499	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
	1500	ENDDO
	1501	ENDDO
	1502	ENDDO
	1503	ENDDO
	1504
	1505	DEALLOCATE( rand_it )
	1506	!
	1507	!-- Gather velocity seeds of full subdomain
[2938]	1508	send_count = nzt_x_stg - nzb_x_stg + 1
	1509	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
[2259]	1510
	1511	#if defined( __parallel )
[2945]	1512	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
	1513	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
[2938]	1514	id, comm1dx, ierr )
[2259]	1515	#else
[2938]	1516	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
[2259]	1517	#endif
	1518
	1519
	1520	END SUBROUTINE stg_generate_seed_yz
	1521
[2938]	1522
	1523
	1524
	1525	!------------------------------------------------------------------------------!
	1526	! Description:
	1527	! ------------
	1528	!> Generate a set of random number rand_it wich is equal on each PE
	1529	!> and calculate the velocity seed f_n.
	1530	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
	1531	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1532	!> parts are collected to form the full array.
	1533	!------------------------------------------------------------------------------!
	1534	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
	1535
	1536
	1537	USE indices, &
	1538	ONLY: nx
	1539
	1540
	1541	IMPLICIT NONE
	1542
	1543	INTEGER(iwp) :: id !< core ids at respective boundaries
	1544	INTEGER(iwp) :: i !< loop index in x-direction
	1545	INTEGER(iwp) :: ii !< loop index in x-direction
	1546	INTEGER(iwp) :: k !< loop index in z-direction
	1547	INTEGER(iwp) :: kk !< loop index in z-direction
	1548	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1549
	1550	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
	1551	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1552	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
	1553	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1554
	1555	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
	1556	REAL(wp) :: rand_av !< average of random number
	1557	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1558
	1559	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
	1560	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
	1561	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
	1562	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
	1563	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1564
	1565
	1566	!
	1567	!-- Generate random numbers using a seed generated in stg_init.
	1568	!-- The set of random numbers are modified to have an average of 0 and
	1569	!-- unit variance.
	1570	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
	1571
	1572	rand_av = 0.0_wp
	1573	rand_sigma_inv = 0.0_wp
	1574	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
	1575
	1576	DO i = 0, nx
	1577	DO k = nzb, nzt+1
	1578	CALL RANDOM_NUMBER( rand_it(k,i) )
	1579	rand_av = rand_av + rand_it(k,i)
	1580	ENDDO
	1581	ENDDO
	1582
	1583	rand_av = rand_av * nxz_inv
	1584
	1585	DO i = 0, nx
	1586	DO k = nzb, nzt+1
	1587	rand_it(k,i) = rand_it(k,i) - rand_av
	1588	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
	1589	ENDDO
	1590	ENDDO
	1591
	1592	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
	1593
	1594	DO i = 0, nx
	1595	DO k = nzb, nzt+1
	1596	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
	1597	ENDDO
	1598	ENDDO
	1599
	1600	!
	1601	!-- Periodic fill of random number in space
	1602	DO i = 0, nx
	1603	DO k = 1, mergp
	1604	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
	1605	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
	1606	ENDDO
	1607	ENDDO
	1608	DO i = 1, mergp
	1609	DO k = nzb-mergp, nzt+1+mergp
	1610	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
	1611	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
	1612	ENDDO
	1613	ENDDO
	1614
	1615	!
	1616	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1617	n_x2 = n_x * 2
	1618	n_z2 = n_z * 2
	1619	f_n_l = 0.0_wp
	1620
	1621	DO i = nxlg, nxrg
	1622	DO k = nzb_y_stg, nzt_y_stg+1
	1623	DO ii = -n_x2(k), n_x2(k)
	1624	DO kk = -n_z2(k), n_z2(k)
	1625	f_n_l(k,i) = f_n_l(k,i) &
	1626	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
	1627	ENDDO
	1628	ENDDO
	1629	ENDDO
	1630	ENDDO
	1631
	1632	DEALLOCATE( rand_it )
	1633
	1634	!
	1635	!-- Gather velocity seeds of full subdomain
	1636	send_count = nzt_y_stg - nzb_y_stg + 1
	1637	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
	1638
	1639
	1640	#if defined( __parallel )
[2945]	1641	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
[2938]	1642	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
	1643	id, comm1dy, ierr )
	1644	#else
	1645	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
	1646	#endif
	1647
	1648
	1649	END SUBROUTINE stg_generate_seed_xz
	1650
[2259]	1651	END MODULE synthetic_turbulence_generator_mod

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