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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3231

Last change on this file since 3231 was 3186, checked in by suehring, 6 years ago
Mask topography while imposing inflow perturbations at the boundaries; do not impose perturbations at top boundary as well as ghost points; Remove print statement; Read zsoil dimension lenght only if soil variables are provided in dynamic driver
Property svn:keywords set to `Id`
File size: 64.3 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	!
[3183]	23	!
[2259]	24	! Former revisions:
	25	! -----------------
	26	! $Id: synthetic_turbulence_generator_mod.f90 3186 2018-07-30 17:07:14Z schwenkel $
[3186]	27	! Mask topography while imposing inflow perturbations at the boundaries; do not
	28	! impose perturbations at top boundary as well as ghost points
	29	!
	30	! 3183 2018-07-27 14:25:55Z suehring
[3183]	31	! Rename variables and extend error message
	32	! Enable geneartor also for stretched grids
	33	!
	34	! 3182 2018-07-27 13:36:03Z suehring
[3065]	35	! Error message related to vertical stretching has been added, dz was replaced
	36	! by dz(1)
	37	!
	38	! 3051 2018-05-30 17:43:55Z suehring
[3051]	39	! Bugfix in calculation of initial Reynolds-stress tensor.
[3049]	40	!
	41	! 3045 2018-05-28 07:55:41Z Giersch
[3051]	42	! Error messages revised
[3045]	43	!
	44	! 3044 2018-05-25 10:59:41Z gronemeier
[3044]	45	! Add missing variable descriptions
	46	!
	47	! 3038 2018-05-24 10:54:00Z gronemeier
[3038]	48	! updated variable descriptions
	49	!
	50	! 2967 2018-04-13 11:22:08Z raasch
[2967]	51	! bugfix: missing parallel cpp-directives added
[3038]	52	!
[2967]	53	! 2946 2018-04-04 17:01:23Z suehring
[2946]	54	! Remove unused module load
[3038]	55	!
[2946]	56	! 2945 2018-04-04 16:27:14Z suehring
[3038]	57	! - Bugfix in parallelization of synthetic turbulence generator in case the
	58	! z-dimension is not an integral divisor of the number of processors along
[2945]	59	! the x- and y-dimension
[3038]	60	! - Revision in control mimic in case of RAN-LES nesting
	61	!
[2945]	62	! 2938 2018-03-27 15:52:42Z suehring
[3038]	63	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
	64	! realistic Inifor large-scale forcing or RANS-LES nesting
	65	!
[2938]	66	! 2936 2018-03-27 14:49:27Z suehring
[3038]	67	! variable named found has been introduced for checking if restart data was found,
	68	! reading of restart strings has been moved completely to read_restart_data_mod,
	69	! redundant skipping function has been removed, stg_read/write_restart_data
	70	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
[2894]	71	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
[3038]	72	! *** have been removed (Giersch), strings and their respective lengths are
	73	! written out and read now in case of restart runs to get rid of prescribed
	74	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
	75	!
[2894]	76	! 2841 2018-02-27 15:02:57Z suehring
[2841]	77	! Bugfix: wrong placement of include 'mpif.h' corrected
[3038]	78	!
[2841]	79	! 2836 2018-02-26 13:40:05Z Giersch
[3038]	80	! The variables synthetic_turbulence_generator and
[2836]	81	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
	82	! flag is used to define if module related parameters were outputted as restart
[3038]	83	! data
	84	!
[2776]	85	! 2716 2017-12-29 16:35:59Z kanani
[2716]	86	! Corrected "Former revisions" section
[3038]	87	!
[2716]	88	! 2696 2017-12-14 17:12:51Z kanani
	89	! Change in file header (GPL part)
	90	!
	91	! 2669 2017-12-06 16:03:27Z raasch
[2669]	92	! unit number for file containing turbulence generator data changed to 90
	93	! bugfix: preprocessor directives added for MPI specific code
[3038]	94	!
[2669]	95	! 2576 2017-10-24 13:49:46Z Giersch
[3038]	96	! Definition of a new function called stg_skip_global to skip module
[2576]	97	! parameters during reading restart data
[3038]	98	!
[2576]	99	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	100	! stg_read_restart_data is called in stg_parin in the case of a restart run
[3038]	101	!
[2563]	102	! 2259 2017-06-08 09:09:11Z gronemeier
[2259]	103	! Initial revision
	104	!
	105	!
[3038]	106	!
[2259]	107	! Authors:
	108	! --------
	109	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
	110	!
	111	!
	112	! Description:
	113	! ------------
	114	!> The module generates turbulence at the inflow boundary based on a method by
	115	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
	116	!> correction by Kim et al. (2013).
	117	!> The turbulence is correlated based on length scales in y- and z-direction and
	118	!> a time scale for each velocity component. The profiles of length and time
	119	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
	120	!> tensor are read from file STG_PROFILES.
	121	!>
	122	!> @todo test restart
	123	!> enable cyclic_fill
	124	!> implement turbulence generation for e and pt
[2945]	125	!> @todo Input of height-constant length scales via namelist
[2259]	126	!> @note <Enter notes on the module>
	127	!> @bug Height information from input file is not used. Profiles from input
	128	!> must match with current PALM grid.
	129	!> In case of restart, velocity seeds differ from precursor run if a11,
	130	!> a22, or a33 are zero.
	131	!------------------------------------------------------------------------------!
	132	MODULE synthetic_turbulence_generator_mod
	133
	134
	135	USE arrays_3d, &
	136	ONLY: mean_inflow_profiles, u, v, w
	137
	138	USE constants, &
	139	ONLY: pi
	140
	141	USE control_parameters, &
[2938]	142	ONLY: initializing_actions, message_string, syn_turb_gen
[2259]	143
	144	USE cpulog, &
	145	ONLY: cpu_log, log_point, log_point_s
	146
	147	USE indices, &
[2938]	148	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
[2259]	149
	150	USE kinds
	151
[2967]	152	#if defined( __parallel ) && !defined( __mpifh )
[2259]	153	USE MPI
[2841]	154	#endif
[2259]	155
	156	USE pegrid, &
[2938]	157	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
[2259]	158
	159	USE transpose_indices, &
	160	ONLY: nzb_x, nzt_x
	161
	162
	163	IMPLICIT NONE
	164
[2967]	165	#if defined( __parallel ) && defined( __mpifh )
[2841]	166	INCLUDE "mpif.h"
	167	#endif
	168
[3182]	169
[2776]	170	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
	171	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
[2259]	172
[3038]	173	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
	174	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
	175	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
	176	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
[2938]	177	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
	178	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
	179	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
	180	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
	181	INTEGER(iwp) :: merg !< maximum length scale (in gp)
	182	INTEGER(iwp) :: mergp !< merg + nbgp
[3038]	183	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
	184	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
	185	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
	186	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
[2259]	187
	188	REAL(wp) :: mc_factor !< mass flux correction factor
	189
[2938]	190	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
	191	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
	192	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
	193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
	194	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
	195	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
	196	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
	197	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
	198	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
	199	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
	200	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
	201	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
	202	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
[2259]	203
	204	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
	205
	206	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
	207	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
	208	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
	209	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
	210	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
	211	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
	212	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
	213	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
	214	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
	215
[2938]	216	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
[2259]	217	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
	218	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
[2938]	219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
[2259]	220	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
	221	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
[2938]	222	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
[2259]	223	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
	224	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
[2938]	225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
	226	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
	227	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
	228	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
	229	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
	230	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
	231	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
	232	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
	233	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
	234	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
	235	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
	236	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
[2259]	237
	238
	239	!
	240	!-- PALM interfaces:
	241	!-- Input parameter checks to be done in check_parameters
	242	INTERFACE stg_check_parameters
	243	MODULE PROCEDURE stg_check_parameters
	244	END INTERFACE stg_check_parameters
	245
	246	!
	247	!-- Calculate filter functions
	248	INTERFACE stg_filter_func
	249	MODULE PROCEDURE stg_filter_func
	250	END INTERFACE stg_filter_func
	251
	252	!
[2938]	253	!-- Generate velocity seeds at south and north domain boundary
	254	INTERFACE stg_generate_seed_xz
	255	MODULE PROCEDURE stg_generate_seed_xz
	256	END INTERFACE stg_generate_seed_xz
	257	!
	258	!-- Generate velocity seeds at left and/or right domain boundary
[2259]	259	INTERFACE stg_generate_seed_yz
	260	MODULE PROCEDURE stg_generate_seed_yz
	261	END INTERFACE stg_generate_seed_yz
	262
	263	!
	264	!-- Output of information to the header file
	265	INTERFACE stg_header
	266	MODULE PROCEDURE stg_header
	267	END INTERFACE stg_header
	268
	269	!
	270	!-- Initialization actions
	271	INTERFACE stg_init
	272	MODULE PROCEDURE stg_init
	273	END INTERFACE stg_init
	274
	275	!
	276	!-- Main procedure of synth. turb. gen.
	277	INTERFACE stg_main
	278	MODULE PROCEDURE stg_main
	279	END INTERFACE stg_main
	280
	281	!
	282	!-- Reading of NAMELIST parameters
	283	INTERFACE stg_parin
	284	MODULE PROCEDURE stg_parin
	285	END INTERFACE stg_parin
	286
	287	!
	288	!-- Reading of parameters for restart runs
[2894]	289	INTERFACE stg_rrd_global
	290	MODULE PROCEDURE stg_rrd_global
	291	END INTERFACE stg_rrd_global
[2259]	292
	293	!
	294	!-- Writing of binary output for restart runs
[2894]	295	INTERFACE stg_wrd_global
	296	MODULE PROCEDURE stg_wrd_global
	297	END INTERFACE stg_wrd_global
[2259]	298
	299	SAVE
	300
	301	PRIVATE
	302
	303	!
	304	!-- Public interfaces
	305	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
[2894]	306	stg_wrd_global, stg_rrd_global
[2259]	307
	308	!
	309	!-- Public variables
[2938]	310	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	311	use_syn_turb_gen
[2259]	312
	313
	314	CONTAINS
	315
	316
	317	!------------------------------------------------------------------------------!
	318	! Description:
	319	! ------------
	320	!> Check parameters routine for synthetic turbulence generator
	321	!------------------------------------------------------------------------------!
	322	SUBROUTINE stg_check_parameters
	323
	324
	325	USE control_parameters, &
[3182]	326	ONLY: bc_lr, bc_ns, child_domain, nesting_offline, &
	327	number_stretch_level_start, rans_mode, turbulent_inflow
[2259]	328
[2938]	329	USE pmc_interface, &
	330	ONLY : rans_mode_parent
[2259]	331
[2938]	332
[2259]	333	IMPLICIT NONE
	334
[3182]	335	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. &
	336	nesting_offline ) THEN
	337	message_string = 'No synthetic turbulence generator is applied. ' // &
	338	'In case PALM operates in LES mode and lateral ' // &
	339	'boundary conditions are provided by COSMO model, ' // &
	340	'turbulence may require large adjustment lenght at ' //&
	341	'the lateral inflow boundaries. Please check your ' // &
	342	'results carefully.'
	343	CALL message( 'stg_check_parameters', 'PA0000', 0, 0, 0, 6, 0 )
[2938]	344	ENDIF
	345
[3182]	346	IF ( .NOT. use_syn_turb_gen .AND. child_domain &
[2938]	347	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
	348	message_string = 'Synthetic turbulence generator has to be applied ' // &
	349	'when nesting is applied and parent operates in ' // &
	350	'RANS-mode but current child in LES mode.'
	351	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
	352	ENDIF
	353
[2776]	354	IF ( use_syn_turb_gen ) THEN
[2259]	355
[3182]	356	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
	357
[2938]	358	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
	359	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
	360	message_string = 'Using synthetic turbulence generator ' // &
[3046]	361	'requires %initializing_actions = ' // &
[2938]	362	'"set_constant_profiles" or "read_restart_data"'
	363	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
	364	ENDIF
	365
	366	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
	367	message_string = 'Using synthetic turbulence generator ' // &
[3046]	368	'requires &bc_lr = "dirichlet/radiation"'
[2938]	369	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
	370	ENDIF
	371	IF ( bc_ns /= 'cyclic' ) THEN
	372	message_string = 'Using synthetic turbulence generator ' // &
[3046]	373	'requires &bc_ns = "cyclic"'
[2938]	374	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
	375	ENDIF
	376
[2259]	377	ENDIF
	378
	379	IF ( turbulent_inflow ) THEN
	380	message_string = 'Using synthetic turbulence generator ' // &
[2938]	381	'in combination &with turbulent_inflow = .T. '// &
	382	'is not allowed'
[2259]	383	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
	384	ENDIF
	385
	386	ENDIF
	387
	388	END SUBROUTINE stg_check_parameters
	389
	390
	391	!------------------------------------------------------------------------------!
	392	! Description:
	393	! ------------
	394	!> Header output for synthetic turbulence generator
	395	!------------------------------------------------------------------------------!
	396	SUBROUTINE stg_header ( io )
	397
	398
	399	IMPLICIT NONE
	400
	401	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	402
	403	!
	404	!-- Write synthetic turbulence generator Header
	405	WRITE( io, 1 )
[2776]	406	IF ( use_syn_turb_gen ) THEN
[2259]	407	WRITE( io, 2 )
	408	ELSE
	409	WRITE( io, 3 )
	410	ENDIF
	411
	412	1 FORMAT (//' Synthetic turbulence generator information:'/ &
	413	' ------------------------------------------'/)
	414	2 FORMAT (' synthetic turbulence generator switched on')
	415	3 FORMAT (' synthetic turbulence generator switched off')
	416
	417	END SUBROUTINE stg_header
	418
	419
	420	!------------------------------------------------------------------------------!
	421	! Description:
	422	! ------------
	423	!> Initialization of the synthetic turbulence generator
	424	!------------------------------------------------------------------------------!
	425	SUBROUTINE stg_init
	426
	427
	428	USE arrays_3d, &
[2938]	429	ONLY: ddzw, u_init, v_init, zu
[2259]	430
	431	USE control_parameters, &
[3182]	432	ONLY: child_domain, coupling_char, dz, e_init, nesting_offline, &
	433	rans_mode
[2259]	434
	435	USE grid_variables, &
[2938]	436	ONLY: ddx, ddy
[2259]	437
[2938]	438	USE indices, &
	439	ONLY: nz
[2259]	440
[2945]	441	USE pmc_interface, &
	442	ONLY : rans_mode_parent
[2938]	443
[2945]	444
[2259]	445	IMPLICIT NONE
	446
[2938]	447	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
	448
[2669]	449	#if defined( __parallel )
[2259]	450	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
	451	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
[2669]	452	#endif
[2259]	453
[2938]	454	INTEGER(iwp) :: i !> grid index in x-direction
[2259]	455	INTEGER(iwp) :: j !> loop index
	456	INTEGER(iwp) :: k !< index
	457	INTEGER(iwp) :: newtype !< dummy MPI type
	458	INTEGER(iwp) :: realsize !< size of REAL variables
	459	INTEGER(iwp) :: nseed !< dimension of random number seed
	460	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
	461
	462	!
	463	!-- Dummy variables used for reading profiles
	464	REAL(wp) :: d1 !< u profile
	465	REAL(wp) :: d2 !< v profile
	466	REAL(wp) :: d3 !< w profile
	467	REAL(wp) :: d5 !< e profile
	468	REAL(wp) :: d11 !< vertical interpolation for a11
	469	REAL(wp) :: d21 !< vertical interpolation for a21
	470	REAL(wp) :: d22 !< vertical interpolation for a22
[2938]	471	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
[2259]	472	REAL(wp) :: luy !< length scale for u in y direction
	473	REAL(wp) :: luz !< length scale for u in z direction
	474	REAL(wp) :: lvy !< length scale for v in y direction
	475	REAL(wp) :: lvz !< length scale for v in z direction
	476	REAL(wp) :: lwy !< length scale for w in y direction
	477	REAL(wp) :: lwz !< length scale for w in z direction
[3038]	478	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
[2259]	479	REAL(wp) :: zz !< height
	480
[3044]	481	REAL(wp) :: length_scale_surface !< typical length scale
	482	REAL(wp) :: r_ii_0 !< correction factor
	483	REAL(wp) :: time_scale !< typical time scale
	484	REAL(wp) :: length_scale_z !< typical length scale
[2938]	485
[2259]	486	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
	487	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
	488	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
	489	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
	490	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
	491	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
	492
	493
	494	#if defined( __parallel )
	495	CALL MPI_BARRIER( comm2d, ierr )
	496	#endif
	497
	498	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	499
	500	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
	501	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
	502
	503	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
	504	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
[2938]	505	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
	506	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
	507	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
[2259]	508	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
	509
[2669]	510	#if defined( __parallel )
[2259]	511	!
[2938]	512	!-- Determine processor decomposition of z-axis along x- and y-direction
	513	nnz = nz / pdims(1)
[2945]	514	nzb_x_stg = 1 + myidx * INT( nnz )
	515	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
[2938]	516
[3038]	517	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
[2945]	518	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
	519	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
[2938]	520
[3182]	521	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	522	.AND. .NOT. rans_mode ) ) THEN
[2938]	523	nnz = nz / pdims(2)
[2945]	524	nzb_y_stg = 1 + myidy * INT( nnz )
	525	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
[2938]	526
[2945]	527	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
[3038]	528	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
[2945]	529	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
[2938]	530	ENDIF
	531
	532	!
[2259]	533	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
	534	!-- velocity seeds
	535	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
	536	extent = 1 * realsize
[2938]	537	!
[3038]	538	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
	539	!-- layer
[2938]	540	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
[2259]	541	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
	542	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	543	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
	544	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
	545	CALL MPI_TYPE_FREE( newtype, ierr )
	546
[2938]	547	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	548	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
[2259]	549	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	550	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
	551	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
	552	CALL MPI_TYPE_FREE( newtype, ierr )
	553
	554	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
[2938]	555	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
[2259]	556
[2938]	557	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
	558	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
[2259]	559
	560	DO j = 1, pdims(1)
[2938]	561	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
[2259]	562	ENDDO
[2938]	563	!
[3038]	564	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
	565	!-- layer
[2938]	566	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
[3182]	567	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	568	.AND. .NOT. rans_mode ) ) THEN
[2945]	569	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
[2938]	570	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	571	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
	572	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
	573	CALL MPI_TYPE_FREE( newtype, ierr )
	574
	575	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
[2945]	576	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
[2938]	577	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
	578	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
	579	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
	580	CALL MPI_TYPE_FREE( newtype, ierr )
	581
	582	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
	583	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
	584
	585	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
	586	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
	587
	588	DO j = 1, pdims(2)
	589	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
	590	ENDDO
	591
	592	ENDIF
	593
[2669]	594	#endif
[2259]	595	!
	596	!-- Define seed of random number
	597	CALL RANDOM_SEED()
	598	CALL RANDOM_SEED( size=nseed )
	599	ALLOCATE( seed(1:nseed) )
	600	DO j = 1, nseed
	601	seed(j) = startseed + j
	602	ENDDO
	603	CALL RANDOM_SEED(put=seed)
	604
	605	!-- Read inflow profile
	606	!-- Height levels of profiles in input profile is as follows:
	607	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
	608	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
	609	!-- WARNING: zz is not used at the moment
[2938]	610	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
	611	EXIST = file_stg_exist )
[2259]	612
[2938]	613	IF ( file_stg_exist ) THEN
[2259]	614
[2938]	615	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
	616	FORM='FORMATTED')
	617	!
	618	!-- Skip header
	619	READ( 90, * )
[2259]	620
[3182]	621	DO k = nzb+1, nzt+1
[2938]	622	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
	623	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
	624	d1, d2, d3, d5
	625
[2259]	626	!
[3182]	627	!-- Convert length scales from meter to number of grid points.
[2938]	628	nuy(k) = INT( luy * ddy )
[3182]	629	nuz(k) = INT( luz * ddzw(k) )
[2938]	630	nvy(k) = INT( lvy * ddy )
[3182]	631	nvz(k) = INT( lvz * ddzw(k) )
[2938]	632	nwy(k) = INT( lwy * ddy )
[3182]	633	nwz(k) = INT( lwz * ddzw(k) )
[2938]	634	!
	635	!-- Workaround, assume isotropic turbulence
	636	nwx(k) = nwy(k)
	637	nvx(k) = nvy(k)
	638	nux(k) = nuy(k)
	639	!
	640	!-- Save Mean inflow profiles
	641	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	642	mean_inflow_profiles(k,1) = d1
	643	mean_inflow_profiles(k,2) = d2
	644	! mean_inflow_profiles(k,4) = d4
	645	mean_inflow_profiles(k,5) = d5
	646	ENDIF
	647	ENDDO
[3182]	648	!
	649	!-- Set lenght scales at surface grid point
	650	nuy(nzb) = nuy(nzb+1)
	651	nuz(nzb) = nuz(nzb+1)
	652	nvy(nzb) = nvy(nzb+1)
	653	nvz(nzb) = nvz(nzb+1)
	654	nwy(nzb) = nwy(nzb+1)
	655	nwz(nzb) = nwz(nzb+1)
	656
[2938]	657	CLOSE( 90 )
[3038]	658
[2938]	659	ELSE
[2259]	660	!
[3038]	661	!-- Set-up defaul length scales. Assume exponentially decreasing length
	662	!-- scales and isotropic turbulence.
	663	!-- Typical length (time) scales of 100 m (s) should be a good compromise
	664	!-- between all stratrifications. Near-surface variances are fixed to
[2938]	665	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
[3038]	666	!-- Vertical fluxes
[2938]	667	length_scale_surface = 100.0_wp
	668	r_ii_0 = 0.1_wp
	669	time_scale = 100.0_wp
	670	DO k = nzb+1, nzt+1
	671	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
	672	0.0_wp, &
	673	zu(k) > 0.3 * zu(nzt) &
	674	)
	675	length_scale_z = length_scale_surface * EXP( dum_exp )
[2259]	676
[2938]	677	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
	678	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	679	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	680	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	681	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	682	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
	683	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
	684	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
	685	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
[2259]	686
[2938]	687	r11(k) = r_ii_0 * EXP( dum_exp )
	688	r22(k) = r_ii_0 * EXP( dum_exp )
	689	r33(k) = r_ii_0 * EXP( dum_exp )
[2259]	690
[2938]	691	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	692	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	693	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
	694
	695	tu(k) = time_scale
	696	tv(k) = time_scale
	697	tw(k) = time_scale
	698
	699	ENDDO
	700	nux(nzb) = nux(nzb+1)
	701	nuy(nzb) = nuy(nzb+1)
	702	nuz(nzb) = nuz(nzb+1)
	703	nvx(nzb) = nvx(nzb+1)
	704	nvy(nzb) = nvy(nzb+1)
	705	nvz(nzb) = nvz(nzb+1)
	706	nwx(nzb) = nwx(nzb+1)
	707	nwy(nzb) = nwy(nzb+1)
	708	nwz(nzb) = nwz(nzb+1)
	709
	710	r11(nzb) = r11(nzb+1)
	711	r22(nzb) = r22(nzb+1)
	712	r33(nzb) = r33(nzb+1)
	713
	714	r21(nzb) = r11(nzb+1)
	715	r31(nzb) = r31(nzb+1)
	716	r32(nzb) = r32(nzb+1)
	717
	718	tu(nzb) = time_scale
	719	tv(nzb) = time_scale
	720	tw(nzb) = time_scale
	721
	722	ENDIF
	723
[2259]	724	!
[2938]	725	!-- Assign initial profiles
[3182]	726	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
[2938]	727	u_init = mean_inflow_profiles(:,1)
	728	v_init = mean_inflow_profiles(:,2)
	729	!pt_init = mean_inflow_profiles(:,4)
	730	e_init = MAXVAL( mean_inflow_profiles(:,5) )
	731	ENDIF
	732	!
[2259]	733	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
	734	DO k = nzb, nzt+1
	735	IF ( r11(k) > 0.0_wp ) THEN
	736	a11(k) = SQRT( r11(k) )
	737	a21(k) = r21(k) / a11(k)
	738	ELSE
	739	a11(k) = 0.0_wp
	740	a21(k) = 0.0_wp
	741	ENDIF
	742
	743	a22(k) = r22(k) - a21(k)**2
	744	IF ( a22(k) > 0.0_wp ) THEN
	745	a22(k) = SQRT( a22(k) )
	746	ELSE
	747	a22(k) = 0.0_wp
	748	ENDIF
	749
	750	!
	751	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
	752	!-- d21, d22) because of different vertical grid
	753	IF ( k .le. nzt ) THEN
	754	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
	755	IF ( d11 > 0.0_wp ) THEN
	756	d11 = SQRT( d11 )
	757	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
	758	a31(k) = r31(k) / d11
	759	ELSE
	760	d21 = 0.0_wp
	761	a31(k) = 0.0_wp
	762	ENDIF
	763
	764	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
	765	IF ( d22 > 0.0_wp ) THEN
	766	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
	767	ELSE
	768	a32(k) = 0.0_wp
	769	ENDIF
	770
	771	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
	772	IF ( a33(k) > 0.0_wp ) THEN
	773	a33(k) = SQRT( a33(k) )
	774	ELSE
	775	a33(k) = 0.0_wp
	776	ENDIF
	777	ELSE
	778	a31(k) = a31(k-1)
	779	a32(k) = a32(k-1)
	780	a33(k) = a33(k-1)
	781	ENDIF
	782
	783	ENDDO
	784	!
	785	!-- Define the size of the filter functions and allocate them.
	786	merg = 0
	787
	788	! arrays must be large enough to cover the largest length scale
	789	DO k = nzb, nzt+1
[2938]	790	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
	791	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
	792	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
[2259]	793	IF ( j > merg ) merg = j
	794	ENDDO
	795
	796	merg = 2 * merg
	797	mergp = merg + nbgp
	798
[2938]	799	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
	800	buy(-merg:merg,nzb:nzt+1), &
	801	buz(-merg:merg,nzb:nzt+1), &
	802	bvx(-merg:merg,nzb:nzt+1), &
	803	bvy(-merg:merg,nzb:nzt+1), &
	804	bvz(-merg:merg,nzb:nzt+1), &
	805	bwx(-merg:merg,nzb:nzt+1), &
	806	bwy(-merg:merg,nzb:nzt+1), &
	807	bwz(-merg:merg,nzb:nzt+1) )
[2259]	808
	809	!
[2938]	810	!-- Allocate velocity seeds for turbulence at xz-layer
	811	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
	812	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
	813	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
[2259]	814
[2938]	815	!
	816	!-- Allocate velocity seeds for turbulence at yz-layer
	817	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
	818	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
	819	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
[2259]	820
[2938]	821	fu_xz = 0.0_wp
	822	fuo_xz = 0.0_wp
	823	fv_xz = 0.0_wp
	824	fvo_xz = 0.0_wp
	825	fw_xz = 0.0_wp
	826	fwo_xz = 0.0_wp
	827
	828	fu_yz = 0.0_wp
	829	fuo_yz = 0.0_wp
	830	fv_yz = 0.0_wp
	831	fvo_yz = 0.0_wp
	832	fw_yz = 0.0_wp
	833	fwo_yz = 0.0_wp
	834
[2259]	835	!
	836	!-- Create filter functions
[2938]	837	CALL stg_filter_func( nux, bux ) !filter ux
[2259]	838	CALL stg_filter_func( nuy, buy ) !filter uy
	839	CALL stg_filter_func( nuz, buz ) !filter uz
[2938]	840	CALL stg_filter_func( nvx, bvx ) !filter vx
[2259]	841	CALL stg_filter_func( nvy, bvy ) !filter vy
	842	CALL stg_filter_func( nvz, bvz ) !filter vz
[2938]	843	CALL stg_filter_func( nwx, bwx ) !filter wx
[2259]	844	CALL stg_filter_func( nwy, bwy ) !filter wy
	845	CALL stg_filter_func( nwz, bwz ) !filter wz
	846
	847	#if defined( __parallel )
	848	CALL MPI_BARRIER( comm2d, ierr )
	849	#endif
	850
	851	!
[2938]	852	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
	853	! time step.
	854	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
	855	! are 0 compared to the prerun. This is mostly for k=nzt+1.
[2259]	856	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
[2938]	857	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
	858
	859	IF ( myidx == id_stg_left ) i = -1
	860	IF ( myidx == id_stg_right ) i = nxr+1
	861
[2259]	862	DO j = nysg, nyng
	863	DO k = nzb, nzt+1
	864
	865	IF ( a11(k) .NE. 0._wp ) THEN
[2938]	866	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
[2259]	867	ELSE
[2938]	868	fu_yz(k,j) = 0._wp
[2259]	869	ENDIF
	870
	871	IF ( a22(k) .NE. 0._wp ) THEN
[2938]	872	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
	873	v_init(k) ) / a22(k)
[2259]	874	ELSE
[2938]	875	fv_yz(k,j) = 0._wp
[2259]	876	ENDIF
	877
	878	IF ( a33(k) .NE. 0._wp ) THEN
[2938]	879	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
	880	a32(k) * fv_yz(k,j) ) / a33(k)
[2259]	881	ELSE
[2938]	882	fw_yz = 0._wp
[2259]	883	ENDIF
	884
	885	ENDDO
	886	ENDDO
	887	ENDIF
	888	ENDIF
	889
	890	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	891
	892	END SUBROUTINE stg_init
	893
	894
	895	!------------------------------------------------------------------------------!
	896	! Description:
	897	! ------------
	898	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
	899	!> (Xie and Castro, 2008)
	900	!------------------------------------------------------------------------------!
	901	SUBROUTINE stg_filter_func( nxx, bxx )
	902
	903
	904	IMPLICIT NONE
	905
	906	INTEGER(iwp) :: k !< loop index
	907	INTEGER(iwp) :: n_k !< length scale nXX in height k
	908	INTEGER(iwp) :: n_k2 !< n_k * 2
	909	INTEGER(iwp) :: nf !< index for length scales
	910
	911	REAL(wp) :: bdenom !< denominator for filter functions bXX
	912	REAL(wp) :: qsi = 1.0_wp !< minimization factor
	913
	914	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
	915
	916	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
	917
	918
	919	bxx = 0.0_wp
	920
	921	DO k = nzb, nzt+1
	922	bdenom = 0.0_wp
	923	n_k = nxx(k)
	924	IF ( n_k /= 0 ) THEN
	925	n_k2 = n_k * 2
	926
	927	!
	928	!-- ( Eq.10 )^2
	929	DO nf = -n_k2, n_k2
	930	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
	931	ENDDO
	932
	933	!
	934	!-- ( Eq.9 )
	935	bdenom = SQRT( bdenom )
	936	DO nf = -n_k2, n_k2
	937	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
	938	ENDDO
	939	ENDIF
	940	ENDDO
	941
	942	END SUBROUTINE stg_filter_func
	943
	944
	945	!------------------------------------------------------------------------------!
	946	! Description:
	947	! ------------
	948	!> Parin for &stg_par for synthetic turbulence generator
	949	!------------------------------------------------------------------------------!
	950	SUBROUTINE stg_parin
	951
	952
	953	IMPLICIT NONE
	954
	955	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	956
	957
[2776]	958	NAMELIST /stg_par/ use_syn_turb_gen
[2259]	959
	960	line = ' '
	961
	962	!
	963	!-- Try to find stg package
	964	REWIND ( 11 )
	965	line = ' '
	966	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
	967	READ ( 11, '(A)', END=10 ) line
	968	ENDDO
	969	BACKSPACE ( 11 )
	970
	971	!
	972	!-- Read namelist
	973	READ ( 11, stg_par )
	974
	975	!
	976	!-- Set flag that indicates that the synthetic turbulence generator is switched
	977	!-- on
[2776]	978	syn_turb_gen = .TRUE.
[2259]	979
[2563]	980
[2259]	981	10 CONTINUE
	982
	983	END SUBROUTINE stg_parin
	984
	985
	986	!------------------------------------------------------------------------------!
	987	! Description:
	988	! ------------
[2894]	989	!> This routine reads the respective restart data.
[2576]	990	!------------------------------------------------------------------------------!
[2894]	991	SUBROUTINE stg_rrd_global( found )
[2576]	992
	993
[2894]	994	USE control_parameters, &
	995	ONLY: length, restart_string
[2576]	996
	997
[2894]	998	IMPLICIT NONE
[2576]	999
[3044]	1000	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
[2259]	1001
	1002
[2894]	1003	found = .TRUE.
[2259]	1004
[3038]	1005
[2894]	1006	SELECT CASE ( restart_string(1:length) )
[2259]	1007
[2894]	1008	CASE ( 'mc_factor' )
	1009	READ ( 13 ) mc_factor
	1010	CASE ( 'use_syn_turb_gen' )
	1011	READ ( 13 ) use_syn_turb_gen
[2259]	1012
[2894]	1013	CASE DEFAULT
[2259]	1014
[3038]	1015	found = .FALSE.
[2259]	1016
[2894]	1017	END SELECT
[2259]	1018
	1019
[2894]	1020	END SUBROUTINE stg_rrd_global
[2259]	1021
	1022
	1023	!------------------------------------------------------------------------------!
	1024	! Description:
	1025	! ------------
	1026	!> This routine writes the respective restart data.
	1027	!------------------------------------------------------------------------------!
[2894]	1028	SUBROUTINE stg_wrd_global
[2259]	1029
	1030
	1031	IMPLICIT NONE
	1032
[2894]	1033	CALL wrd_write_string( 'mc_factor' )
[2259]	1034	WRITE ( 14 ) mc_factor
	1035
[2894]	1036	CALL wrd_write_string( 'use_syn_turb_gen' )
	1037	WRITE ( 14 ) use_syn_turb_gen
[2259]	1038
	1039
[2894]	1040	END SUBROUTINE stg_wrd_global
[2259]	1041
[2894]	1042
[2259]	1043	!------------------------------------------------------------------------------!
	1044	! Description:
	1045	! ------------
	1046	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
	1047	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
	1048	!> following suggestions of Kim et al. (2013), and using a Lund rotation
	1049	!> (Lund, 1998).
	1050	!------------------------------------------------------------------------------!
	1051	SUBROUTINE stg_main
	1052
	1053
	1054	USE arrays_3d, &
	1055	ONLY: dzw
	1056
	1057	USE control_parameters, &
[3182]	1058	ONLY: child_domain, dt_3d, intermediate_timestep_count, &
	1059	nesting_offline, rans_mode, simulated_time, volume_flow_initial
[2259]	1060
[2938]	1061	USE grid_variables, &
	1062	ONLY: dx, dy
	1063
[2259]	1064	USE indices, &
[2938]	1065	ONLY: wall_flags_0
[2259]	1066
	1067	USE statistics, &
	1068	ONLY: weight_substep
	1069
[2945]	1070	USE pmc_interface, &
	1071	ONLY : rans_mode_parent
[2259]	1072
[2945]	1073
[2259]	1074	IMPLICIT NONE
	1075
[2938]	1076	INTEGER(iwp) :: i !< grid index in x-direction
[2259]	1077	INTEGER(iwp) :: j !< loop index in y-direction
	1078	INTEGER(iwp) :: k !< loop index in z-direction
	1079
	1080	REAL(wp) :: dt_stg !< wheighted subtimestep
	1081	REAL(wp) :: mc_factor_l !< local mass flux correction factor
[2938]	1082	REAL(wp) :: volume_flow !< mass flux through lateral boundary
	1083	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
[2259]	1084
[2938]	1085	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
	1086	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
[2259]	1087
	1088
	1089	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
	1090
	1091	!
	1092	!-- Calculate time step which is needed for filter functions
	1093	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
	1094
	1095	!
	1096	!-- Initial value of fu, fv, fw
	1097	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
[2938]	1098	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
	1099	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
	1100	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
	1101
[3182]	1102	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	1103	.AND. .NOT. rans_mode ) ) THEN
[2938]	1104	!
	1105	!-- Generate turbulence at right boundary
	1106	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
	1107	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
	1108	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
	1109	!
	1110	!-- Generate turbulence at north boundary
	1111	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
	1112	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
	1113	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
	1114	!
	1115	!-- Generate turbulence at south boundary
	1116	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
	1117	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
	1118	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
	1119	ENDIF
[2259]	1120	velocity_seed_initialized = .TRUE.
	1121	ENDIF
	1122	!
	1123	!-- New set of fu, fv, fw
[2938]	1124	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
	1125	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
	1126	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
[2259]	1127
[3182]	1128	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
	1129	.AND. .NOT. rans_mode ) ) THEN
[2938]	1130	!
	1131	!-- Generate turbulence at right boundary
	1132	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
	1133	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
	1134	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
	1135	!
	1136	!-- Generate turbulence at north boundary
	1137	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
	1138	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
	1139	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
	1140	!
	1141	!-- Generate turbulence at south boundary
	1142	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
	1143	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
	1144	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
	1145	ENDIF
	1146	!
	1147	!-- Turbulence generation at left and or right boundary
	1148	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
[2259]	1149
	1150	DO j = nysg, nyng
	1151	DO k = nzb, nzt + 1
	1152	!
	1153	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1154	IF ( tu(k) == 0.0_wp ) THEN
[2938]	1155	fu_yz(k,j) = fuo_yz(k,j)
[2259]	1156	ELSE
[2938]	1157	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1158	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
[2259]	1159	ENDIF
	1160
	1161	IF ( tv(k) == 0.0_wp ) THEN
[2938]	1162	fv_yz(k,j) = fvo_yz(k,j)
[2259]	1163	ELSE
[2938]	1164	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1165	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
[2259]	1166	ENDIF
	1167
	1168	IF ( tw(k) == 0.0_wp ) THEN
[2938]	1169	fw_yz(k,j) = fwo_yz(k,j)
[2259]	1170	ELSE
[2938]	1171	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1172	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
[2259]	1173	ENDIF
	1174	!
	1175	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1176	!-- Additional factors are added to improve the variance of v and w
	1177	IF( k == 0 ) THEN
[2938]	1178	dist_yz(k,j,1) = 0.0_wp
	1179	dist_yz(k,j,2) = 0.0_wp
	1180	dist_yz(k,j,3) = 0.0_wp
	1181	! dist_yz(k,j,4) = 0.0_wp
	1182	! dist_yz(k,j,5) = 0.0_wp
[2259]	1183	ELSE
[2938]	1184	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
[2259]	1185	!experimental test of 1.2
[2945]	1186	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
[2259]	1187	* 1.2_wp ) &
[2945]	1188	* ( a21(k) * fu_yz(k,j) &
[2938]	1189	+ a22(k) * fv_yz(k,j) )
[2945]	1190	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
[2259]	1191	* 1.3_wp ) &
[2945]	1192	* ( a31(k) * fu_yz(k,j) &
	1193	+ a32(k) * fv_yz(k,j) &
[2938]	1194	+ a33(k) * fw_yz(k,j) )
[2259]	1195	! Calculation for pt and e not yet implemented
[2938]	1196	! dist_yz(k,j,4) = 0.0_wp
	1197	! dist_yz(k,j,5) = 0.0_wp
[2259]	1198	ENDIF
	1199
	1200	ENDDO
	1201	ENDDO
	1202
	1203	!
	1204	!-- Mass flux correction following Kim et al. (2013)
	1205	!-- This correction factor insures that the mass flux is preserved at the
	1206	!-- inflow boundary
[3182]	1207	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
[2938]	1208	mc_factor_l = 0.0_wp
	1209	mc_factor = 0.0_wp
	1210	DO j = nys, nyn
	1211	DO k = nzb+1, nzt
	1212	mc_factor_l = mc_factor_l + dzw(k) * &
	1213	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
	1214	ENDDO
[2259]	1215	ENDDO
	1216
	1217	#if defined( __parallel )
[2938]	1218	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1219	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
[2259]	1220	#else
[2938]	1221	mc_factor = mc_factor_l
[2259]	1222	#endif
	1223
[2938]	1224	mc_factor = volume_flow_initial(1) / mc_factor
[2259]	1225
	1226	!
[2938]	1227	!-- Add disturbance at the inflow
	1228	DO j = nysg, nyng
	1229	DO k = nzb, nzt+1
	1230	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
	1231	dist_yz(k,j,1) ) * mc_factor
	1232	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
	1233	dist_yz(k,j,2) ) * mc_factor
	1234	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
	1235	ENDDO
[2259]	1236	ENDDO
[2938]	1237
	1238	ELSE
	1239	!
	1240	!-- First, calculate volume flow at yz boundary
	1241	IF ( myidx == id_stg_left ) i = nxl
	1242	IF ( myidx == id_stg_right ) i = nxr+1
	1243
	1244	volume_flow_l = 0.0_wp
	1245	volume_flow = 0.0_wp
	1246	mc_factor_l = 0.0_wp
	1247	mc_factor = 0.0_wp
	1248	DO j = nys, nyn
	1249	DO k = nzb+1, nzt
	1250	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
[3038]	1251	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1252	BTEST( wall_flags_0(k,j,i), 1 ) )
	1253
	1254	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
	1255	* dzw(k) * dy &
[3038]	1256	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1257	BTEST( wall_flags_0(k,j,i), 1 ) )
	1258	ENDDO
	1259	ENDDO
	1260	#if defined( __parallel )
	1261	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
	1262	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1263	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
	1264	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
	1265	#else
	1266	volume_flow = volume_flow_l
	1267	mc_factor = mc_factor_l
	1268	#endif
	1269
	1270	mc_factor = volume_flow / mc_factor
	1271
	1272	!
	1273	!-- Add disturbances
	1274	IF ( myidx == id_stg_left ) THEN
	1275
[3186]	1276	DO j = nys, nyn
	1277	DO k = nzb, nzt
	1278	u(k,j,0) = ( u(k,j,0) + dist_yz(k,j,1) ) &
	1279	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1280	BTEST( wall_flags_0(k,j,0), 1 ) )
	1281	v(k,j,-1) = ( v(k,j,-1) + dist_yz(k,j,2) ) &
	1282	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1283	BTEST( wall_flags_0(k,j,-1), 2 ) )
	1284	w(k,j,-1) = ( w(k,j,-1) + dist_yz(k,j,3) ) &
	1285	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1286	BTEST( wall_flags_0(k,j,-1), 3 ) )
[2938]	1287	ENDDO
	1288	ENDDO
	1289	ENDIF
	1290	IF ( myidx == id_stg_right ) THEN
	1291
[3186]	1292	DO j = nys, nyn
	1293	DO k = nzb, nzt
	1294	u(k,j,nxr+1) = ( u(k,j,nxr+1) + dist_yz(k,j,1) ) &
	1295	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1296	BTEST( wall_flags_0(k,j,nxr+1), 1 ) )
	1297	v(k,j,nxr+1) = ( v(k,j,nxr+1) + dist_yz(k,j,2) ) &
	1298	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1299	BTEST( wall_flags_0(k,j,nxr+1), 2 ) )
	1300	w(k,j,nxr+1) = ( w(k,j,nxr+1) + dist_yz(k,j,3) ) &
	1301	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1302	BTEST( wall_flags_0(k,j,nxr+1), 3 ) )
[2938]	1303	ENDDO
	1304	ENDDO
	1305	ENDIF
	1306	ENDIF
	1307
	1308	ENDIF
	1309	!
	1310	!-- Turbulence generation at north and south boundary
	1311	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
	1312
	1313	DO i = nxlg, nxrg
	1314	DO k = nzb, nzt + 1
	1315	!
	1316	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
	1317	IF ( tu(k) == 0.0_wp ) THEN
	1318	fu_xz(k,i) = fuo_xz(k,i)
	1319	ELSE
	1320	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
	1321	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
	1322	ENDIF
	1323
	1324	IF ( tv(k) == 0.0_wp ) THEN
	1325	fv_xz(k,i) = fvo_xz(k,i)
	1326	ELSE
	1327	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
	1328	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
	1329	ENDIF
	1330
	1331	IF ( tw(k) == 0.0_wp ) THEN
	1332	fw_xz(k,i) = fwo_xz(k,i)
	1333	ELSE
	1334	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
	1335	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
	1336	ENDIF
	1337	!
	1338	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
	1339	!-- Additional factors are added to improve the variance of v and w
	1340	IF( k == 0 ) THEN
	1341	dist_xz(k,i,1) = 0.0_wp
	1342	dist_xz(k,i,2) = 0.0_wp
	1343	dist_xz(k,i,3) = 0.0_wp
	1344
	1345	ELSE
	1346	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
	1347	!experimental test of 1.2
	1348	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
	1349	* 1.2_wp ) &
	1350	* ( a21(k) * fu_xz(k,i) &
	1351	+ a22(k) * fv_xz(k,i) )
	1352	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
	1353	* 1.3_wp ) &
	1354	* ( a31(k) * fu_xz(k,i) &
	1355	+ a32(k) * fv_xz(k,i) &
	1356	+ a33(k) * fw_xz(k,i) )
	1357	ENDIF
	1358
	1359	ENDDO
[2259]	1360	ENDDO
[2938]	1361	!
	1362	!-- Mass flux correction following Kim et al. (2013)
	1363	!-- This correction factor insures that the mass flux is preserved at the
	1364	!-- inflow boundary.
	1365	!-- First, calculate volume flow at xz boundary
	1366	IF ( myidy == id_stg_south ) j = nys
	1367	IF ( myidy == id_stg_north ) j = nyn+1
[2259]	1368
[2938]	1369	volume_flow_l = 0.0_wp
	1370	volume_flow = 0.0_wp
	1371	mc_factor_l = 0.0_wp
	1372	mc_factor = 0.0_wp
	1373	DO i = nxl, nxr
	1374	DO k = nzb+1, nzt
[2945]	1375	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
[3038]	1376	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1377	BTEST( wall_flags_0(k,j,i), 2 ) )
	1378
[2945]	1379	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
	1380	* dzw(k) * dx &
[3038]	1381	* MERGE( 1.0_wp, 0.0_wp, &
[2938]	1382	BTEST( wall_flags_0(k,j,i), 2 ) )
	1383	ENDDO
	1384	ENDDO
	1385	#if defined( __parallel )
[2945]	1386	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
[2938]	1387	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
[2945]	1388	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
[2938]	1389	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
	1390	#else
	1391	volume_flow = volume_flow_l
	1392	mc_factor = mc_factor_l
	1393	#endif
	1394
	1395	mc_factor = volume_flow / mc_factor
	1396
	1397	!
	1398	!-- Add disturbances
	1399	IF ( myidy == id_stg_south ) THEN
	1400
[3186]	1401	DO i = nxl, nxr
	1402	DO k = nzb, nzt
	1403	u(k,-1,i) = ( u(k,-1,i) + dist_xz(k,i,1) ) &
	1404	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1405	BTEST( wall_flags_0(k,-1,i), 1 ) )
	1406	v(k,0,i) = ( v(k,0,i) + dist_xz(k,i,2) ) &
	1407	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1408	BTEST( wall_flags_0(k,0,i), 2 ) )
	1409	w(k,-1,i) = ( w(k,-1,i) + dist_xz(k,i,3) ) &
	1410	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1411	BTEST( wall_flags_0(k,-1,i), 3 ) )
[2938]	1412	ENDDO
	1413	ENDDO
	1414	ENDIF
	1415	IF ( myidy == id_stg_north ) THEN
	1416
[3186]	1417	DO i = nxl, nxr
	1418	DO k = nzb, nzt
	1419	u(k,nyn+1,i) = ( u(k,nyn+1,i) + dist_xz(k,i,1) ) &
	1420	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1421	BTEST( wall_flags_0(k,nyn+1,i), 1 ) )
	1422	v(k,nyn+1,i) = ( v(k,nyn+1,i) + dist_xz(k,i,1) ) &
	1423	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1424	BTEST( wall_flags_0(k,nyn+1,i), 2 ) )
	1425	w(k,nyn+1,i) = ( w(k,nyn+1,i) + dist_xz(k,i,1) ) &
	1426	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
	1427	BTEST( wall_flags_0(k,nyn+1,i), 3 ) )
[2938]	1428	ENDDO
	1429	ENDDO
	1430	ENDIF
[2259]	1431	ENDIF
	1432
	1433	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
	1434
	1435	END SUBROUTINE stg_main
	1436
	1437	!------------------------------------------------------------------------------!
	1438	! Description:
	1439	! ------------
	1440	!> Generate a set of random number rand_it wich is equal on each PE
	1441	!> and calculate the velocity seed f_n.
	1442	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
	1443	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1444	!> parts are collected to form the full array.
	1445	!------------------------------------------------------------------------------!
[2938]	1446	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
[2259]	1447
	1448
	1449	USE indices, &
	1450	ONLY: ny
	1451
	1452	IMPLICIT NONE
	1453
[2938]	1454	INTEGER(iwp) :: id !< core ids at respective boundaries
[2259]	1455	INTEGER(iwp) :: j !< loop index in y-direction
	1456	INTEGER(iwp) :: jj !< loop index in y-direction
	1457	INTEGER(iwp) :: k !< loop index in z-direction
	1458	INTEGER(iwp) :: kk !< loop index in z-direction
	1459	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1460
	1461	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
	1462	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1463	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
	1464	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1465
	1466	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
	1467	REAL(wp) :: rand_av !< average of random number
	1468	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1469
	1470	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
	1471	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
[2938]	1472	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
[2259]	1473	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
	1474	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1475
	1476
	1477	!
	1478	!-- Generate random numbers using a seed generated in stg_init.
	1479	!-- The set of random numbers are modified to have an average of 0 and
	1480	!-- unit variance.
	1481	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
	1482
	1483	rand_av = 0.0_wp
	1484	rand_sigma_inv = 0.0_wp
	1485	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
	1486
	1487	DO j = 0, ny
	1488	DO k = nzb, nzt+1
	1489	CALL RANDOM_NUMBER( rand_it(k,j) )
	1490	rand_av = rand_av + rand_it(k,j)
	1491	ENDDO
	1492	ENDDO
	1493
	1494	rand_av = rand_av * nyz_inv
	1495
	1496	DO j = 0, ny
	1497	DO k = nzb, nzt+1
	1498	rand_it(k,j) = rand_it(k,j) - rand_av
	1499	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
	1500	ENDDO
	1501	ENDDO
	1502
	1503	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
	1504
	1505	DO j = 0, ny
	1506	DO k = nzb, nzt+1
	1507	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
	1508	ENDDO
	1509	ENDDO
	1510
	1511	!
	1512	!-- Periodic fill of random number in space
	1513	DO j = 0, ny
	1514	DO k = 1, mergp
	1515	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
	1516	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
	1517	ENDDO
	1518	ENDDO
	1519	DO j = 1, mergp
	1520	DO k = nzb-mergp, nzt+1+mergp
	1521	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
	1522	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
	1523	ENDDO
	1524	ENDDO
	1525
	1526	!
	1527	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1528	n_y2 = n_y * 2
	1529	n_z2 = n_z * 2
	1530	f_n_l = 0.0_wp
	1531
	1532	DO j = nysg, nyng
[2938]	1533	DO k = nzb_x_stg, nzt_x_stg+1
[2259]	1534	DO jj = -n_y2(k), n_y2(k)
	1535	DO kk = -n_z2(k), n_z2(k)
	1536	f_n_l(k,j) = f_n_l(k,j) &
	1537	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
	1538	ENDDO
	1539	ENDDO
	1540	ENDDO
	1541	ENDDO
	1542
	1543	DEALLOCATE( rand_it )
	1544	!
	1545	!-- Gather velocity seeds of full subdomain
[2938]	1546	send_count = nzt_x_stg - nzb_x_stg + 1
	1547	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
[2259]	1548
	1549	#if defined( __parallel )
[2945]	1550	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
	1551	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
[2938]	1552	id, comm1dx, ierr )
[2259]	1553	#else
[2938]	1554	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
[2259]	1555	#endif
	1556
	1557
	1558	END SUBROUTINE stg_generate_seed_yz
	1559
[2938]	1560
	1561
	1562
	1563	!------------------------------------------------------------------------------!
	1564	! Description:
	1565	! ------------
	1566	!> Generate a set of random number rand_it wich is equal on each PE
	1567	!> and calculate the velocity seed f_n.
	1568	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
	1569	!> and each PE calculates a vertical subsection of f_n. At the the end, all
	1570	!> parts are collected to form the full array.
	1571	!------------------------------------------------------------------------------!
	1572	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
	1573
	1574
	1575	USE indices, &
	1576	ONLY: nx
	1577
	1578
	1579	IMPLICIT NONE
	1580
	1581	INTEGER(iwp) :: id !< core ids at respective boundaries
	1582	INTEGER(iwp) :: i !< loop index in x-direction
	1583	INTEGER(iwp) :: ii !< loop index in x-direction
	1584	INTEGER(iwp) :: k !< loop index in z-direction
	1585	INTEGER(iwp) :: kk !< loop index in z-direction
	1586	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
	1587
	1588	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
	1589	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
	1590	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
	1591	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
	1592
	1593	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
	1594	REAL(wp) :: rand_av !< average of random number
	1595	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
	1596
	1597	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
	1598	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
	1599	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
	1600	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
	1601	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
	1602
	1603
	1604	!
	1605	!-- Generate random numbers using a seed generated in stg_init.
	1606	!-- The set of random numbers are modified to have an average of 0 and
	1607	!-- unit variance.
	1608	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
	1609
	1610	rand_av = 0.0_wp
	1611	rand_sigma_inv = 0.0_wp
	1612	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
	1613
	1614	DO i = 0, nx
	1615	DO k = nzb, nzt+1
	1616	CALL RANDOM_NUMBER( rand_it(k,i) )
	1617	rand_av = rand_av + rand_it(k,i)
	1618	ENDDO
	1619	ENDDO
	1620
	1621	rand_av = rand_av * nxz_inv
	1622
	1623	DO i = 0, nx
	1624	DO k = nzb, nzt+1
	1625	rand_it(k,i) = rand_it(k,i) - rand_av
	1626	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
	1627	ENDDO
	1628	ENDDO
	1629
	1630	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
	1631
	1632	DO i = 0, nx
	1633	DO k = nzb, nzt+1
	1634	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
	1635	ENDDO
	1636	ENDDO
	1637
	1638	!
	1639	!-- Periodic fill of random number in space
	1640	DO i = 0, nx
	1641	DO k = 1, mergp
	1642	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
	1643	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
	1644	ENDDO
	1645	ENDDO
	1646	DO i = 1, mergp
	1647	DO k = nzb-mergp, nzt+1+mergp
	1648	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
	1649	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
	1650	ENDDO
	1651	ENDDO
	1652
	1653	!
	1654	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
	1655	n_x2 = n_x * 2
	1656	n_z2 = n_z * 2
	1657	f_n_l = 0.0_wp
	1658
	1659	DO i = nxlg, nxrg
	1660	DO k = nzb_y_stg, nzt_y_stg+1
	1661	DO ii = -n_x2(k), n_x2(k)
	1662	DO kk = -n_z2(k), n_z2(k)
	1663	f_n_l(k,i) = f_n_l(k,i) &
	1664	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
	1665	ENDDO
	1666	ENDDO
	1667	ENDDO
	1668	ENDDO
	1669
	1670	DEALLOCATE( rand_it )
	1671
	1672	!
	1673	!-- Gather velocity seeds of full subdomain
	1674	send_count = nzt_y_stg - nzb_y_stg + 1
	1675	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
	1676
	1677
	1678	#if defined( __parallel )
[2945]	1679	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
[2938]	1680	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
	1681	id, comm1dy, ierr )
	1682	#else
	1683	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
	1684	#endif
	1685
	1686
	1687	END SUBROUTINE stg_generate_seed_xz
	1688
[2259]	1689	END MODULE synthetic_turbulence_generator_mod

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