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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 2977

Last change on this file since 2977 was 2967, checked in by raasch, 6 years ago
bugfix: missing parallel cpp-directives added
Property svn:keywords set to `Id`
File size: 61.4 KB

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

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