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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3044

Last change on this file since 3044 was 3044, checked in by gronemeier, 6 years ago
add missing variable descriptions
Property svn:keywords set to `Id`
File size: 61.9 KB

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

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