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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 2940

Last change on this file since 2940 was 2938, checked in by suehring, 7 years ago
Nesting in RANS-LES and RANS-RANS mode enabled; synthetic turbulence generator at all lateral boundaries in nesting or non-cyclic forcing mode; revised Inifor initialization in nesting mode
Property svn:keywords set to `Id`
File size: 60.2 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 2938 2018-03-27 15:52:42Z suehring $
27	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
28	! realistic Inifor large-scale forcing or RANS-LES nesting
29	!
30	! 2936 2018-03-27 14:49:27Z suehring
31	! variable named found has been introduced for checking if restart data was found,
32	! reading of restart strings has been moved completely to read_restart_data_mod,
33	! redundant skipping function has been removed, stg_read/write_restart_data
34	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
35	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
36	! *** have been removed (Giersch), strings and their respective lengths are
37	! written out and read now in case of restart runs to get rid of prescribed
38	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
39	!
40	! 2841 2018-02-27 15:02:57Z suehring
41	! Bugfix: wrong placement of include 'mpif.h' corrected
42	!
43	! 2836 2018-02-26 13:40:05Z Giersch
44	! The variables synthetic_turbulence_generator and
45	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
46	! flag is used to define if module related parameters were outputted as restart
47	! data
48	!
49	! 2716 2017-12-29 16:35:59Z kanani
50	! Corrected "Former revisions" section
51	!
52	! 2696 2017-12-14 17:12:51Z kanani
53	! Change in file header (GPL part)
54	!
55	! 2669 2017-12-06 16:03:27Z raasch
56	! unit number for file containing turbulence generator data changed to 90
57	! bugfix: preprocessor directives added for MPI specific code
58	!
59	! 2576 2017-10-24 13:49:46Z Giersch
60	! Definition of a new function called stg_skip_global to skip module
61	! parameters during reading restart data
62	!
63	! 2563 2017-10-19 15:36:10Z Giersch
64	! stg_read_restart_data is called in stg_parin in the case of a restart run
65	!
66	! 2259 2017-06-08 09:09:11Z gronemeier
67	! Initial revision
68	!
69	!
70	!
71	! Authors:
72	! --------
73	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
74	!
75	!
76	! Description:
77	! ------------
78	!> The module generates turbulence at the inflow boundary based on a method by
79	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
80	!> correction by Kim et al. (2013).
81	!> The turbulence is correlated based on length scales in y- and z-direction and
82	!> a time scale for each velocity component. The profiles of length and time
83	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
84	!> tensor are read from file STG_PROFILES.
85	!>
86	!> @todo test restart
87	!> enable cyclic_fill
88	!> implement turbulence generation for e and pt
89	!> @note <Enter notes on the module>
90	!> @bug Height information from input file is not used. Profiles from input
91	!> must match with current PALM grid.
92	!> Transformation of length scales to number of gridpoints does not
93	!> consider grid stretching.
94	!> In case of restart, velocity seeds differ from precursor run if a11,
95	!> a22, or a33 are zero.
96	!------------------------------------------------------------------------------!
97	MODULE synthetic_turbulence_generator_mod
98
99
100	USE arrays_3d, &
101	ONLY: mean_inflow_profiles, u, v, w
102
103	USE constants, &
104	ONLY: pi
105
106	USE control_parameters, &
107	ONLY: initializing_actions, message_string, syn_turb_gen
108
109	USE cpulog, &
110	ONLY: cpu_log, log_point, log_point_s
111
112	USE indices, &
113	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
114
115	USE kinds
116
117	#if !defined( __mpifh )
118	USE MPI
119	#endif
120
121	USE pegrid, &
122	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
123
124	USE transpose_indices, &
125	ONLY: nzb_x, nzt_x
126
127
128	IMPLICIT NONE
129
130	#if defined( __mpifh )
131	INCLUDE "mpif.h"
132	#endif
133
134	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
135	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
136
137	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
138	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
139	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
140	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
141	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
142	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
143	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
144	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
145	INTEGER(iwp) :: merg !< maximum length scale (in gp)
146	INTEGER(iwp) :: mergp !< merg + nbgp
147	INTEGER(iwp) :: nzb_x_stg !<
148	INTEGER(iwp) :: nzt_x_stg !<
149	INTEGER(iwp) :: nzb_y_stg !<
150	INTEGER(iwp) :: nzt_y_stg !<
151
152	REAL(wp) :: mc_factor !< mass flux correction factor
153
154	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
155	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
156	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
157	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
158	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
159	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
160	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
161	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
162	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
163	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
164	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
165	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
166	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
167
168	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
169
170	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
171	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
172	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
173	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
174	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
175	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
176	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
177	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
178	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
179
180	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
181	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
182	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
183	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
184	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
185	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
186	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
187	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
188	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
189	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
190	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
191	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
192	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
193	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
194	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
195	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
196	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
197	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
198	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
199	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
200	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
201
202
203	!
204	!-- PALM interfaces:
205	!-- Input parameter checks to be done in check_parameters
206	INTERFACE stg_check_parameters
207	MODULE PROCEDURE stg_check_parameters
208	END INTERFACE stg_check_parameters
209
210	!
211	!-- Calculate filter functions
212	INTERFACE stg_filter_func
213	MODULE PROCEDURE stg_filter_func
214	END INTERFACE stg_filter_func
215
216	!
217	!-- Generate velocity seeds at south and north domain boundary
218	INTERFACE stg_generate_seed_xz
219	MODULE PROCEDURE stg_generate_seed_xz
220	END INTERFACE stg_generate_seed_xz
221	!
222	!-- Generate velocity seeds at left and/or right domain boundary
223	INTERFACE stg_generate_seed_yz
224	MODULE PROCEDURE stg_generate_seed_yz
225	END INTERFACE stg_generate_seed_yz
226
227	!
228	!-- Output of information to the header file
229	INTERFACE stg_header
230	MODULE PROCEDURE stg_header
231	END INTERFACE stg_header
232
233	!
234	!-- Initialization actions
235	INTERFACE stg_init
236	MODULE PROCEDURE stg_init
237	END INTERFACE stg_init
238
239	!
240	!-- Main procedure of synth. turb. gen.
241	INTERFACE stg_main
242	MODULE PROCEDURE stg_main
243	END INTERFACE stg_main
244
245	!
246	!-- Reading of NAMELIST parameters
247	INTERFACE stg_parin
248	MODULE PROCEDURE stg_parin
249	END INTERFACE stg_parin
250
251	!
252	!-- Reading of parameters for restart runs
253	INTERFACE stg_rrd_global
254	MODULE PROCEDURE stg_rrd_global
255	END INTERFACE stg_rrd_global
256
257	!
258	!-- Writing of binary output for restart runs
259	INTERFACE stg_wrd_global
260	MODULE PROCEDURE stg_wrd_global
261	END INTERFACE stg_wrd_global
262
263	SAVE
264
265	PRIVATE
266
267	!
268	!-- Public interfaces
269	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
270	stg_wrd_global, stg_rrd_global
271
272	!
273	!-- Public variables
274	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
275	use_syn_turb_gen
276
277
278	CONTAINS
279
280
281	!------------------------------------------------------------------------------!
282	! Description:
283	! ------------
284	!> Check parameters routine for synthetic turbulence generator
285	!------------------------------------------------------------------------------!
286	SUBROUTINE stg_check_parameters
287
288
289	USE control_parameters, &
290	ONLY: bc_lr, bc_ns, forcing, nest_domain, rans_mode, turbulent_inflow
291
292	USE pmc_interface, &
293	ONLY : rans_mode_parent
294
295
296	IMPLICIT NONE
297
298	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. forcing ) THEN
299	message_string = 'Synthetic turbulence generator has to be applied ' // &
300	'when forcing is used and model operates in LES mode.'
301	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
302	ENDIF
303
304	IF ( .NOT. use_syn_turb_gen .AND. nest_domain &
305	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
306	message_string = 'Synthetic turbulence generator has to be applied ' // &
307	'when nesting is applied and parent operates in ' // &
308	'RANS-mode but current child in LES mode.'
309	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
310	ENDIF
311
312	IF ( use_syn_turb_gen ) THEN
313
314	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
315
316	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
317	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
318	message_string = 'Using synthetic turbulence generator ' // &
319	'requires &initializing_actions = ' // &
320	'"set_constant_profiles" or "read_restart_data"'
321	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
322	ENDIF
323
324	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
325	message_string = 'Using synthetic turbulence generator ' // &
326	'requires &bc_lr = "dirichlet/radiation"'
327	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
328	ENDIF
329	IF ( bc_ns /= 'cyclic' ) THEN
330	message_string = 'Using synthetic turbulence generator ' // &
331	'requires &bc_ns = "cyclic"'
332	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
333	ENDIF
334
335	ENDIF
336
337	IF ( turbulent_inflow ) THEN
338	message_string = 'Using synthetic turbulence generator ' // &
339	'in combination &with turbulent_inflow = .T. '// &
340	'is not allowed'
341	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
342	ENDIF
343
344	ENDIF
345
346	END SUBROUTINE stg_check_parameters
347
348
349	!------------------------------------------------------------------------------!
350	! Description:
351	! ------------
352	!> Header output for synthetic turbulence generator
353	!------------------------------------------------------------------------------!
354	SUBROUTINE stg_header ( io )
355
356
357	IMPLICIT NONE
358
359	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
360
361	!
362	!-- Write synthetic turbulence generator Header
363	WRITE( io, 1 )
364	IF ( use_syn_turb_gen ) THEN
365	WRITE( io, 2 )
366	ELSE
367	WRITE( io, 3 )
368	ENDIF
369
370	1 FORMAT (//' Synthetic turbulence generator information:'/ &
371	' ------------------------------------------'/)
372	2 FORMAT (' synthetic turbulence generator switched on')
373	3 FORMAT (' synthetic turbulence generator switched off')
374
375	END SUBROUTINE stg_header
376
377
378	!------------------------------------------------------------------------------!
379	! Description:
380	! ------------
381	!> Initialization of the synthetic turbulence generator
382	!------------------------------------------------------------------------------!
383	SUBROUTINE stg_init
384
385
386	USE arrays_3d, &
387	ONLY: ddzw, u_init, v_init, zu
388
389	USE control_parameters, &
390	ONLY: coupling_char, dz, e_init, forcing, nest_domain
391
392	USE grid_variables, &
393	ONLY: ddx, ddy
394
395	USE indices, &
396	ONLY: nz
397
398
399	IMPLICIT NONE
400
401	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
402
403	#if defined( __parallel )
404	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
405	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
406	#endif
407
408	INTEGER(iwp) :: i !> grid index in x-direction
409	INTEGER(iwp) :: j !> loop index
410	INTEGER(iwp) :: k !< index
411	INTEGER(iwp) :: newtype !< dummy MPI type
412	INTEGER(iwp) :: realsize !< size of REAL variables
413	INTEGER(iwp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
414	INTEGER(iwp) :: nseed !< dimension of random number seed
415	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
416
417	!
418	!-- Dummy variables used for reading profiles
419	REAL(wp) :: d1 !< u profile
420	REAL(wp) :: d2 !< v profile
421	REAL(wp) :: d3 !< w profile
422	REAL(wp) :: d5 !< e profile
423	REAL(wp) :: d11 !< vertical interpolation for a11
424	REAL(wp) :: d21 !< vertical interpolation for a21
425	REAL(wp) :: d22 !< vertical interpolation for a22
426	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
427	REAL(wp) :: luy !< length scale for u in y direction
428	REAL(wp) :: luz !< length scale for u in z direction
429	REAL(wp) :: lvy !< length scale for v in y direction
430	REAL(wp) :: lvz !< length scale for v in z direction
431	REAL(wp) :: lwy !< length scale for w in y direction
432	REAL(wp) :: lwz !< length scale for w in z direction
433	REAL(wp) :: zz !< height
434
435	REAL(wp) :: length_scale_surface, r_ii_0, time_scale, length_scale_z
436
437	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
438	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
439	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
440	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
441	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
442	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
443
444
445	#if defined( __parallel )
446	CALL MPI_BARRIER( comm2d, ierr )
447	#endif
448
449	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
450
451	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
452	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
453
454	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
455	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
456	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
457	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
458	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
459	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
460
461	#if defined( __parallel )
462	!
463	!-- Determine processor decomposition of z-axis along x- and y-direction
464	nnz = nz / pdims(1)
465	nzb_x_stg = 1 + myidx * nnz
466	nzt_x_stg = ( myidx + 1 ) * nnz
467
468	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
469	nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
470
471	IF ( forcing .OR. nest_domain ) THEN
472	nnz = nz / pdims(2)
473	nzb_y_stg = 1 + myidy * nnz
474	nzt_y_stg = ( myidy + 1 ) * nnz
475
476	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
477	nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
478	ENDIF
479
480	!
481	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
482	!-- velocity seeds
483	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
484	extent = 1 * realsize
485	!
486	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
487	!-- layer
488	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
489	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
490	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
491	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
492	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
493	CALL MPI_TYPE_FREE( newtype, ierr )
494
495	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
496	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
497	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
498	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
499	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
500	CALL MPI_TYPE_FREE( newtype, ierr )
501
502	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
503	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
504
505	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
506	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
507
508	DO j = 1, pdims(1)
509	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
510	ENDDO
511	!
512	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
513	!-- layer
514	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
515	IF ( forcing .OR. nest_domain) THEN
516	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
517	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
518	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
519	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
520	CALL MPI_TYPE_FREE( newtype, ierr )
521
522	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
523	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
524	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
525	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
526	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
527	CALL MPI_TYPE_FREE( newtype, ierr )
528
529	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
530	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
531
532	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
533	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
534
535	DO j = 1, pdims(2)
536	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
537	ENDDO
538
539	ENDIF
540
541	#endif
542	!
543	!-- Define seed of random number
544	CALL RANDOM_SEED()
545	CALL RANDOM_SEED( size=nseed )
546	ALLOCATE( seed(1:nseed) )
547	DO j = 1, nseed
548	seed(j) = startseed + j
549	ENDDO
550	CALL RANDOM_SEED(put=seed)
551
552	!-- Read inflow profile
553	!-- Height levels of profiles in input profile is as follows:
554	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
555	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
556	!-- WARNING: zz is not used at the moment
557	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
558	EXIST = file_stg_exist )
559
560	IF ( file_stg_exist ) THEN
561
562	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
563	FORM='FORMATTED')
564	!
565	!-- Skip header
566	READ( 90, * )
567
568	DO k = nzb, nzt+1
569	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
570	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
571	d1, d2, d3, d5
572
573	!
574	!-- Convert length scales from meter to number of grid points
575	nuy(k) = INT( luy * ddy )
576	nuz(k) = INT( luz / dz )
577	nvy(k) = INT( lvy * ddy )
578	nvz(k) = INT( lvz / dz )
579	nwy(k) = INT( lwy * ddy )
580	nwz(k) = INT( lwz / dz )
581	!
582	!-- Workaround, assume isotropic turbulence
583	nwx(k) = nwy(k)
584	nvx(k) = nvy(k)
585	nux(k) = nuy(k)
586	!
587	!-- Save Mean inflow profiles
588	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
589	mean_inflow_profiles(k,1) = d1
590	mean_inflow_profiles(k,2) = d2
591	! mean_inflow_profiles(k,4) = d4
592	mean_inflow_profiles(k,5) = d5
593	ENDIF
594	ENDDO
595
596	CLOSE( 90 )
597
598	ELSE
599	!
600	!-- Set-up defaul length scales. Assume exponentially decreasing length
601	!-- scales and isotropic turbulence.
602	!-- Typical length (time) scales of 100 m (s) should be a goog compromise
603	!-- between all stratrifications. Near-surface variances are fixed to
604	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
605	!-- Vertical fluxes
606	length_scale_surface = 100.0_wp
607	r_ii_0 = 0.1_wp
608	time_scale = 100.0_wp
609	DO k = nzb+1, nzt+1
610	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
611	0.0_wp, &
612	zu(k) > 0.3 * zu(nzt) &
613	)
614	length_scale_z = length_scale_surface * EXP( dum_exp )
615
616	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
617	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
618	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
619	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
620	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
621	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
622	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
623	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
624	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
625
626	r11(k) = r_ii_0 * EXP( dum_exp )
627	r22(k) = r_ii_0 * EXP( dum_exp )
628	r33(k) = r_ii_0 * EXP( dum_exp )
629
630	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
631	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
632	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
633
634	tu(k) = time_scale
635	tv(k) = time_scale
636	tw(k) = time_scale
637
638	ENDDO
639	nux(nzb) = nux(nzb+1)
640	nuy(nzb) = nuy(nzb+1)
641	nuz(nzb) = nuz(nzb+1)
642	nvx(nzb) = nvx(nzb+1)
643	nvy(nzb) = nvy(nzb+1)
644	nvz(nzb) = nvz(nzb+1)
645	nwx(nzb) = nwx(nzb+1)
646	nwy(nzb) = nwy(nzb+1)
647	nwz(nzb) = nwz(nzb+1)
648
649	r11(nzb) = r11(nzb+1)
650	r22(nzb) = r22(nzb+1)
651	r33(nzb) = r33(nzb+1)
652
653	r21(nzb) = r11(nzb+1)
654	r31(nzb) = r31(nzb+1)
655	r32(nzb) = r32(nzb+1)
656
657	tu(nzb) = time_scale
658	tv(nzb) = time_scale
659	tw(nzb) = time_scale
660
661	ENDIF
662
663	!
664	!-- Assign initial profiles
665	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
666	u_init = mean_inflow_profiles(:,1)
667	v_init = mean_inflow_profiles(:,2)
668	!pt_init = mean_inflow_profiles(:,4)
669	e_init = MAXVAL( mean_inflow_profiles(:,5) )
670	ENDIF
671	!
672	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
673	DO k = nzb, nzt+1
674	IF ( r11(k) > 0.0_wp ) THEN
675	a11(k) = SQRT( r11(k) )
676	a21(k) = r21(k) / a11(k)
677	ELSE
678	a11(k) = 0.0_wp
679	a21(k) = 0.0_wp
680	ENDIF
681
682	a22(k) = r22(k) - a21(k)**2
683	IF ( a22(k) > 0.0_wp ) THEN
684	a22(k) = SQRT( a22(k) )
685	a32(k) = ( r32(k) - a21(k) * a31(k) ) / a22(k)
686	ELSE
687	a22(k) = 0.0_wp
688	a32(k) = 0.0_wp
689	ENDIF
690
691	!
692	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
693	!-- d21, d22) because of different vertical grid
694	IF ( k .le. nzt ) THEN
695	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
696	IF ( d11 > 0.0_wp ) THEN
697	d11 = SQRT( d11 )
698	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
699	a31(k) = r31(k) / d11
700	ELSE
701	d21 = 0.0_wp
702	a31(k) = 0.0_wp
703	ENDIF
704
705	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
706	IF ( d22 > 0.0_wp ) THEN
707	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
708	ELSE
709	a32(k) = 0.0_wp
710	ENDIF
711
712	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
713	IF ( a33(k) > 0.0_wp ) THEN
714	a33(k) = SQRT( a33(k) )
715	ELSE
716	a33(k) = 0.0_wp
717	ENDIF
718	ELSE
719	a31(k) = a31(k-1)
720	a32(k) = a32(k-1)
721	a33(k) = a33(k-1)
722	ENDIF
723
724	ENDDO
725	!
726	!-- Define the size of the filter functions and allocate them.
727	merg = 0
728
729	! arrays must be large enough to cover the largest length scale
730	DO k = nzb, nzt+1
731	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
732	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
733	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
734	IF ( j > merg ) merg = j
735	ENDDO
736
737	merg = 2 * merg
738	mergp = merg + nbgp
739
740	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
741	buy(-merg:merg,nzb:nzt+1), &
742	buz(-merg:merg,nzb:nzt+1), &
743	bvx(-merg:merg,nzb:nzt+1), &
744	bvy(-merg:merg,nzb:nzt+1), &
745	bvz(-merg:merg,nzb:nzt+1), &
746	bwx(-merg:merg,nzb:nzt+1), &
747	bwy(-merg:merg,nzb:nzt+1), &
748	bwz(-merg:merg,nzb:nzt+1) )
749
750	!
751	!-- Allocate velocity seeds for turbulence at xz-layer
752	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
753	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
754	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
755
756	!
757	!-- Allocate velocity seeds for turbulence at yz-layer
758	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
759	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
760	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
761
762	fu_xz = 0.0_wp
763	fuo_xz = 0.0_wp
764	fv_xz = 0.0_wp
765	fvo_xz = 0.0_wp
766	fw_xz = 0.0_wp
767	fwo_xz = 0.0_wp
768
769	fu_yz = 0.0_wp
770	fuo_yz = 0.0_wp
771	fv_yz = 0.0_wp
772	fvo_yz = 0.0_wp
773	fw_yz = 0.0_wp
774	fwo_yz = 0.0_wp
775
776	!
777	!-- Create filter functions
778	CALL stg_filter_func( nux, bux ) !filter ux
779	CALL stg_filter_func( nuy, buy ) !filter uy
780	CALL stg_filter_func( nuz, buz ) !filter uz
781	CALL stg_filter_func( nvx, bvx ) !filter vx
782	CALL stg_filter_func( nvy, bvy ) !filter vy
783	CALL stg_filter_func( nvz, bvz ) !filter vz
784	CALL stg_filter_func( nwx, bwx ) !filter wx
785	CALL stg_filter_func( nwy, bwy ) !filter wy
786	CALL stg_filter_func( nwz, bwz ) !filter wz
787
788	#if defined( __parallel )
789	CALL MPI_BARRIER( comm2d, ierr )
790	#endif
791
792	!
793	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
794	! time step.
795	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
796	! are 0 compared to the prerun. This is mostly for k=nzt+1.
797	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
798	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
799
800	IF ( myidx == id_stg_left ) i = -1
801	IF ( myidx == id_stg_right ) i = nxr+1
802
803	DO j = nysg, nyng
804	DO k = nzb, nzt+1
805
806	IF ( a11(k) .NE. 0._wp ) THEN
807	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
808	ELSE
809	fu_yz(k,j) = 0._wp
810	ENDIF
811
812	IF ( a22(k) .NE. 0._wp ) THEN
813	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
814	v_init(k) ) / a22(k)
815	ELSE
816	fv_yz(k,j) = 0._wp
817	ENDIF
818
819	IF ( a33(k) .NE. 0._wp ) THEN
820	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
821	a32(k) * fv_yz(k,j) ) / a33(k)
822	ELSE
823	fw_yz = 0._wp
824	ENDIF
825
826	ENDDO
827	ENDDO
828	ENDIF
829	ENDIF
830
831	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
832
833	END SUBROUTINE stg_init
834
835
836	!------------------------------------------------------------------------------!
837	! Description:
838	! ------------
839	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
840	!> (Xie and Castro, 2008)
841	!------------------------------------------------------------------------------!
842	SUBROUTINE stg_filter_func( nxx, bxx )
843
844
845	IMPLICIT NONE
846
847	INTEGER(iwp) :: k !< loop index
848	INTEGER(iwp) :: n_k !< length scale nXX in height k
849	INTEGER(iwp) :: n_k2 !< n_k * 2
850	INTEGER(iwp) :: nf !< index for length scales
851
852	REAL(wp) :: bdenom !< denominator for filter functions bXX
853	REAL(wp) :: qsi = 1.0_wp !< minimization factor
854
855	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
856
857	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
858
859
860	bxx = 0.0_wp
861
862	DO k = nzb, nzt+1
863	bdenom = 0.0_wp
864	n_k = nxx(k)
865	IF ( n_k /= 0 ) THEN
866	n_k2 = n_k * 2
867
868	!
869	!-- ( Eq.10 )^2
870	DO nf = -n_k2, n_k2
871	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
872	ENDDO
873
874	!
875	!-- ( Eq.9 )
876	bdenom = SQRT( bdenom )
877	DO nf = -n_k2, n_k2
878	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
879	ENDDO
880	ENDIF
881	ENDDO
882
883	END SUBROUTINE stg_filter_func
884
885
886	!------------------------------------------------------------------------------!
887	! Description:
888	! ------------
889	!> Parin for &stg_par for synthetic turbulence generator
890	!------------------------------------------------------------------------------!
891	SUBROUTINE stg_parin
892
893
894	IMPLICIT NONE
895
896	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
897
898
899	NAMELIST /stg_par/ use_syn_turb_gen
900
901	line = ' '
902
903	!
904	!-- Try to find stg package
905	REWIND ( 11 )
906	line = ' '
907	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
908	READ ( 11, '(A)', END=10 ) line
909	ENDDO
910	BACKSPACE ( 11 )
911
912	!
913	!-- Read namelist
914	READ ( 11, stg_par )
915
916	!
917	!-- Set flag that indicates that the synthetic turbulence generator is switched
918	!-- on
919	syn_turb_gen = .TRUE.
920
921
922	10 CONTINUE
923
924	END SUBROUTINE stg_parin
925
926
927	!------------------------------------------------------------------------------!
928	! Description:
929	! ------------
930	!> This routine reads the respective restart data.
931	!------------------------------------------------------------------------------!
932	SUBROUTINE stg_rrd_global( found )
933
934
935	USE control_parameters, &
936	ONLY: length, restart_string
937
938
939	IMPLICIT NONE
940
941	LOGICAL, INTENT(OUT) :: found
942
943
944	found = .TRUE.
945
946
947	SELECT CASE ( restart_string(1:length) )
948
949	CASE ( 'mc_factor' )
950	READ ( 13 ) mc_factor
951	CASE ( 'use_syn_turb_gen' )
952	READ ( 13 ) use_syn_turb_gen
953
954	CASE DEFAULT
955
956	found = .FALSE.
957
958	END SELECT
959
960
961	END SUBROUTINE stg_rrd_global
962
963
964	!------------------------------------------------------------------------------!
965	! Description:
966	! ------------
967	!> This routine writes the respective restart data.
968	!------------------------------------------------------------------------------!
969	SUBROUTINE stg_wrd_global
970
971
972	IMPLICIT NONE
973
974	CALL wrd_write_string( 'mc_factor' )
975	WRITE ( 14 ) mc_factor
976
977	CALL wrd_write_string( 'use_syn_turb_gen' )
978	WRITE ( 14 ) use_syn_turb_gen
979
980
981	END SUBROUTINE stg_wrd_global
982
983
984	!------------------------------------------------------------------------------!
985	! Description:
986	! ------------
987	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
988	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
989	!> following suggestions of Kim et al. (2013), and using a Lund rotation
990	!> (Lund, 1998).
991	!------------------------------------------------------------------------------!
992	SUBROUTINE stg_main
993
994
995	USE arrays_3d, &
996	ONLY: dzw
997
998	USE control_parameters, &
999	ONLY: dt_3d, forcing, intermediate_timestep_count, nest_domain, &
1000	simulated_time, volume_flow_initial
1001
1002	USE grid_variables, &
1003	ONLY: dx, dy
1004
1005	USE indices, &
1006	ONLY: wall_flags_0
1007
1008	USE statistics, &
1009	ONLY: weight_substep
1010
1011
1012	IMPLICIT NONE
1013
1014	INTEGER(iwp) :: i !< grid index in x-direction
1015	INTEGER(iwp) :: j !< loop index in y-direction
1016	INTEGER(iwp) :: k !< loop index in z-direction
1017
1018	REAL(wp) :: dt_stg !< wheighted subtimestep
1019	REAL(wp) :: mc_factor_l !< local mass flux correction factor
1020	REAL(wp) :: volume_flow !< mass flux through lateral boundary
1021	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
1022
1023	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
1024	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
1025
1026
1027	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
1028
1029	!
1030	!-- Calculate time step which is needed for filter functions
1031	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
1032
1033	!
1034	!-- Initial value of fu, fv, fw
1035	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
1036	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
1037	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
1038	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
1039
1040	IF ( forcing .OR. nest_domain ) THEN
1041	!
1042	!-- Generate turbulence at right boundary
1043	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
1044	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
1045	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
1046	!
1047	!-- Generate turbulence at north boundary
1048	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
1049	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
1050	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
1051	!
1052	!-- Generate turbulence at south boundary
1053	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
1054	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
1055	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
1056	ENDIF
1057	velocity_seed_initialized = .TRUE.
1058	ENDIF
1059	!
1060	!-- New set of fu, fv, fw
1061	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
1062	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
1063	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
1064
1065	IF ( forcing .OR. nest_domain ) THEN
1066	!
1067	!-- Generate turbulence at right boundary
1068	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
1069	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
1070	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
1071	!
1072	!-- Generate turbulence at north boundary
1073	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
1074	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
1075	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
1076	!
1077	!-- Generate turbulence at south boundary
1078	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
1079	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
1080	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
1081	ENDIF
1082	!
1083	!-- Turbulence generation at left and or right boundary
1084	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
1085
1086	DO j = nysg, nyng
1087	DO k = nzb, nzt + 1
1088	!
1089	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1090	IF ( tu(k) == 0.0_wp ) THEN
1091	fu_yz(k,j) = fuo_yz(k,j)
1092	ELSE
1093	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1094	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1095	ENDIF
1096
1097	IF ( tv(k) == 0.0_wp ) THEN
1098	fv_yz(k,j) = fvo_yz(k,j)
1099	ELSE
1100	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1101	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1102	ENDIF
1103
1104	IF ( tw(k) == 0.0_wp ) THEN
1105	fw_yz(k,j) = fwo_yz(k,j)
1106	ELSE
1107	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1108	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1109	ENDIF
1110	!
1111	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1112	!-- Additional factors are added to improve the variance of v and w
1113	IF( k == 0 ) THEN
1114	dist_yz(k,j,1) = 0.0_wp
1115	dist_yz(k,j,2) = 0.0_wp
1116	dist_yz(k,j,3) = 0.0_wp
1117	! dist_yz(k,j,4) = 0.0_wp
1118	! dist_yz(k,j,5) = 0.0_wp
1119	ELSE
1120	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
1121	!experimental test of 1.2
1122	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1123	* 1.2_wp ) &
1124	* ( a21(k) * fu_yz(k,j) &
1125	+ a22(k) * fv_yz(k,j) )
1126	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1127	* 1.3_wp ) &
1128	* ( a31(k) * fu_yz(k,j) &
1129	+ a32(k) * fv_yz(k,j) &
1130	+ a33(k) * fw_yz(k,j) )
1131	! Calculation for pt and e not yet implemented
1132	! dist_yz(k,j,4) = 0.0_wp
1133	! dist_yz(k,j,5) = 0.0_wp
1134	ENDIF
1135
1136	ENDDO
1137	ENDDO
1138
1139	!
1140	!-- Mass flux correction following Kim et al. (2013)
1141	!-- This correction factor insures that the mass flux is preserved at the
1142	!-- inflow boundary
1143	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
1144	mc_factor_l = 0.0_wp
1145	mc_factor = 0.0_wp
1146	DO j = nys, nyn
1147	DO k = nzb+1, nzt
1148	mc_factor_l = mc_factor_l + dzw(k) * &
1149	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
1150	ENDDO
1151	ENDDO
1152
1153	#if defined( __parallel )
1154	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1155	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1156	#else
1157	mc_factor = mc_factor_l
1158	#endif
1159
1160	mc_factor = volume_flow_initial(1) / mc_factor
1161
1162	!
1163	!-- Add disturbance at the inflow
1164	DO j = nysg, nyng
1165	DO k = nzb, nzt+1
1166	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
1167	dist_yz(k,j,1) ) * mc_factor
1168	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
1169	dist_yz(k,j,2) ) * mc_factor
1170	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
1171	ENDDO
1172	ENDDO
1173
1174	ELSE
1175	!
1176	!-- First, calculate volume flow at yz boundary
1177	IF ( myidx == id_stg_left ) i = nxl
1178	IF ( myidx == id_stg_right ) i = nxr+1
1179
1180	volume_flow_l = 0.0_wp
1181	volume_flow = 0.0_wp
1182	mc_factor_l = 0.0_wp
1183	mc_factor = 0.0_wp
1184	DO j = nys, nyn
1185	DO k = nzb+1, nzt
1186	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
1187	* MERGE( 1.0_wp, 0.0_wp, &
1188	BTEST( wall_flags_0(k,j,i), 1 ) )
1189
1190	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
1191	* dzw(k) * dy &
1192	* MERGE( 1.0_wp, 0.0_wp, &
1193	BTEST( wall_flags_0(k,j,i), 1 ) )
1194	ENDDO
1195	ENDDO
1196	#if defined( __parallel )
1197	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1198	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1199	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1200	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1201	#else
1202	volume_flow = volume_flow_l
1203	mc_factor = mc_factor_l
1204	#endif
1205
1206	mc_factor = volume_flow / mc_factor
1207
1208	!
1209	!-- Add disturbances
1210	IF ( myidx == id_stg_left ) THEN
1211
1212	DO j = nysg, nyng
1213	DO k = nzb, nzt+1
1214	u(k,j,-nbgp+1:0) = ( u(k,j,-nbgp+1:0) + dist_yz(k,j,1) ) &
1215	* mc_factor
1216	v(k,j,-nbgp:-1) = ( v(k,j,-nbgp:-1) + dist_yz(k,j,2) ) &
1217	* mc_factor
1218	w(k,j,-nbgp:-1) = ( w(k,j,-nbgp:-1) + dist_yz(k,j,3) ) &
1219	* mc_factor
1220	ENDDO
1221	ENDDO
1222	ENDIF
1223	IF ( myidx == id_stg_right ) THEN
1224
1225	DO j = nysg, nyng
1226	DO k = nzb, nzt+1
1227	u(k,j,nxr+1:nxr+nbgp) = ( u(k,j,nxr+1:nxr+nbgp) + &
1228	dist_yz(k,j,1) ) * mc_factor
1229	v(k,j,nxr+1:nxr+nbgp) = ( v(k,j,nxr+1:nxr+nbgp) + &
1230	dist_yz(k,j,2) ) * mc_factor
1231	w(k,j,nxr+1:nxr+nbgp) = ( w(k,j,nxr+1:nxr+nbgp) + &
1232	dist_yz(k,j,3) ) * mc_factor
1233	ENDDO
1234	ENDDO
1235	ENDIF
1236	ENDIF
1237
1238	ENDIF
1239	!
1240	!-- Turbulence generation at north and south boundary
1241	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
1242
1243	DO i = nxlg, nxrg
1244	DO k = nzb, nzt + 1
1245	!
1246	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1247	IF ( tu(k) == 0.0_wp ) THEN
1248	fu_xz(k,i) = fuo_xz(k,i)
1249	ELSE
1250	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1251	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1252	ENDIF
1253
1254	IF ( tv(k) == 0.0_wp ) THEN
1255	fv_xz(k,i) = fvo_xz(k,i)
1256	ELSE
1257	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1258	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1259	ENDIF
1260
1261	IF ( tw(k) == 0.0_wp ) THEN
1262	fw_xz(k,i) = fwo_xz(k,i)
1263	ELSE
1264	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1265	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1266	ENDIF
1267	!
1268	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1269	!-- Additional factors are added to improve the variance of v and w
1270	IF( k == 0 ) THEN
1271	dist_xz(k,i,1) = 0.0_wp
1272	dist_xz(k,i,2) = 0.0_wp
1273	dist_xz(k,i,3) = 0.0_wp
1274
1275	ELSE
1276	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
1277	!experimental test of 1.2
1278	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1279	* 1.2_wp ) &
1280	* ( a21(k) * fu_xz(k,i) &
1281	+ a22(k) * fv_xz(k,i) )
1282	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1283	* 1.3_wp ) &
1284	* ( a31(k) * fu_xz(k,i) &
1285	+ a32(k) * fv_xz(k,i) &
1286	+ a33(k) * fw_xz(k,i) )
1287	ENDIF
1288
1289	ENDDO
1290	ENDDO
1291	!
1292	!-- Mass flux correction following Kim et al. (2013)
1293	!-- This correction factor insures that the mass flux is preserved at the
1294	!-- inflow boundary.
1295	!-- First, calculate volume flow at xz boundary
1296	IF ( myidy == id_stg_south ) j = nys
1297	IF ( myidy == id_stg_north ) j = nyn+1
1298
1299	volume_flow_l = 0.0_wp
1300	volume_flow = 0.0_wp
1301	mc_factor_l = 0.0_wp
1302	mc_factor = 0.0_wp
1303	DO i = nxl, nxr
1304	DO k = nzb+1, nzt
1305	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
1306	* MERGE( 1.0_wp, 0.0_wp, &
1307	BTEST( wall_flags_0(k,j,i), 2 ) )
1308
1309	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
1310	* dzw(k) * dx &
1311	* MERGE( 1.0_wp, 0.0_wp, &
1312	BTEST( wall_flags_0(k,j,i), 2 ) )
1313	ENDDO
1314	ENDDO
1315	#if defined( __parallel )
1316	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1317	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1318	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1319	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1320	#else
1321	volume_flow = volume_flow_l
1322	mc_factor = mc_factor_l
1323	#endif
1324
1325	mc_factor = volume_flow / mc_factor
1326
1327	!
1328	!-- Add disturbances
1329	IF ( myidy == id_stg_south ) THEN
1330
1331	DO i = nxlg, nxrg
1332	DO k = nzb, nzt+1
1333	u(k,-nbgp:-1,i) = ( u(k,-nbgp:-1,i) + dist_xz(k,i,1) ) &
1334	* mc_factor
1335	v(k,-nbgp:0,i) = ( v(k,-nbgp:0,i) + dist_xz(k,i,2) ) &
1336	* mc_factor
1337	w(k,-nbgp:-1,i) = ( w(k,-nbgp:-1,i) + dist_xz(k,i,3) ) &
1338	* mc_factor
1339	ENDDO
1340	ENDDO
1341	ENDIF
1342	IF ( myidy == id_stg_north ) THEN
1343
1344	DO i = nxlg, nxrg
1345	DO k = nzb, nzt+1
1346	u(k,nyn+1:nyn+nbgp,i) = ( u(k,nyn+1:nyn+nbgp,i) + &
1347	dist_xz(k,i,1) ) * mc_factor
1348	v(k,nyn+1:nyn+nbgp,i) = ( v(k,nyn+1:nyn+nbgp,i) + &
1349	dist_xz(k,i,2) ) * mc_factor
1350	w(k,nyn+1:nyn+nbgp,i) = ( w(k,nyn+1:nyn+nbgp,i) + &
1351	dist_xz(k,i,3) ) * mc_factor
1352	ENDDO
1353	ENDDO
1354	ENDIF
1355	ENDIF
1356
1357	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
1358
1359	END SUBROUTINE stg_main
1360
1361	!------------------------------------------------------------------------------!
1362	! Description:
1363	! ------------
1364	!> Generate a set of random number rand_it wich is equal on each PE
1365	!> and calculate the velocity seed f_n.
1366	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
1367	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1368	!> parts are collected to form the full array.
1369	!------------------------------------------------------------------------------!
1370	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
1371
1372
1373	USE indices, &
1374	ONLY: ny
1375
1376
1377	IMPLICIT NONE
1378
1379	INTEGER(iwp) :: id !< core ids at respective boundaries
1380	INTEGER(iwp) :: j !< loop index in y-direction
1381	INTEGER(iwp) :: jj !< loop index in y-direction
1382	INTEGER(iwp) :: k !< loop index in z-direction
1383	INTEGER(iwp) :: kk !< loop index in z-direction
1384	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1385
1386	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
1387	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1388	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
1389	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1390
1391	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
1392	REAL(wp) :: rand_av !< average of random number
1393	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1394
1395	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
1396	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1397	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
1398	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
1399	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1400
1401
1402	!
1403	!-- Generate random numbers using a seed generated in stg_init.
1404	!-- The set of random numbers are modified to have an average of 0 and
1405	!-- unit variance.
1406	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
1407
1408	rand_av = 0.0_wp
1409	rand_sigma_inv = 0.0_wp
1410	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
1411
1412	DO j = 0, ny
1413	DO k = nzb, nzt+1
1414	CALL RANDOM_NUMBER( rand_it(k,j) )
1415	rand_av = rand_av + rand_it(k,j)
1416	ENDDO
1417	ENDDO
1418
1419	rand_av = rand_av * nyz_inv
1420
1421	DO j = 0, ny
1422	DO k = nzb, nzt+1
1423	rand_it(k,j) = rand_it(k,j) - rand_av
1424	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
1425	ENDDO
1426	ENDDO
1427
1428	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
1429
1430	DO j = 0, ny
1431	DO k = nzb, nzt+1
1432	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
1433	ENDDO
1434	ENDDO
1435
1436	!
1437	!-- Periodic fill of random number in space
1438	DO j = 0, ny
1439	DO k = 1, mergp
1440	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
1441	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
1442	ENDDO
1443	ENDDO
1444	DO j = 1, mergp
1445	DO k = nzb-mergp, nzt+1+mergp
1446	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
1447	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
1448	ENDDO
1449	ENDDO
1450
1451	!
1452	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1453	n_y2 = n_y * 2
1454	n_z2 = n_z * 2
1455	f_n_l = 0.0_wp
1456
1457	DO j = nysg, nyng
1458	DO k = nzb_x_stg, nzt_x_stg+1
1459	DO jj = -n_y2(k), n_y2(k)
1460	DO kk = -n_z2(k), n_z2(k)
1461	f_n_l(k,j) = f_n_l(k,j) &
1462	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
1463	ENDDO
1464	ENDDO
1465	ENDDO
1466	ENDDO
1467
1468	DEALLOCATE( rand_it )
1469
1470	!
1471	!-- Gather velocity seeds of full subdomain
1472	send_count = nzt_x_stg - nzb_x_stg + 1
1473	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
1474
1475	#if defined( __parallel )
1476	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
1477	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
1478	id, comm1dx, ierr )
1479	#else
1480	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
1481	#endif
1482
1483
1484	END SUBROUTINE stg_generate_seed_yz
1485
1486
1487
1488
1489	!------------------------------------------------------------------------------!
1490	! Description:
1491	! ------------
1492	!> Generate a set of random number rand_it wich is equal on each PE
1493	!> and calculate the velocity seed f_n.
1494	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
1495	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1496	!> parts are collected to form the full array.
1497	!------------------------------------------------------------------------------!
1498	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
1499
1500
1501	USE indices, &
1502	ONLY: nx
1503
1504
1505	IMPLICIT NONE
1506
1507	INTEGER(iwp) :: id !< core ids at respective boundaries
1508	INTEGER(iwp) :: i !< loop index in x-direction
1509	INTEGER(iwp) :: ii !< loop index in x-direction
1510	INTEGER(iwp) :: k !< loop index in z-direction
1511	INTEGER(iwp) :: kk !< loop index in z-direction
1512	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1513
1514	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
1515	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1516	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
1517	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1518
1519	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
1520	REAL(wp) :: rand_av !< average of random number
1521	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1522
1523	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
1524	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1525	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
1526	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
1527	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1528
1529
1530	!
1531	!-- Generate random numbers using a seed generated in stg_init.
1532	!-- The set of random numbers are modified to have an average of 0 and
1533	!-- unit variance.
1534	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
1535
1536	rand_av = 0.0_wp
1537	rand_sigma_inv = 0.0_wp
1538	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
1539
1540	DO i = 0, nx
1541	DO k = nzb, nzt+1
1542	CALL RANDOM_NUMBER( rand_it(k,i) )
1543	rand_av = rand_av + rand_it(k,i)
1544	ENDDO
1545	ENDDO
1546
1547	rand_av = rand_av * nxz_inv
1548
1549	DO i = 0, nx
1550	DO k = nzb, nzt+1
1551	rand_it(k,i) = rand_it(k,i) - rand_av
1552	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
1553	ENDDO
1554	ENDDO
1555
1556	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
1557
1558	DO i = 0, nx
1559	DO k = nzb, nzt+1
1560	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
1561	ENDDO
1562	ENDDO
1563
1564	!
1565	!-- Periodic fill of random number in space
1566	DO i = 0, nx
1567	DO k = 1, mergp
1568	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
1569	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
1570	ENDDO
1571	ENDDO
1572	DO i = 1, mergp
1573	DO k = nzb-mergp, nzt+1+mergp
1574	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
1575	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
1576	ENDDO
1577	ENDDO
1578
1579	!
1580	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1581	n_x2 = n_x * 2
1582	n_z2 = n_z * 2
1583	f_n_l = 0.0_wp
1584
1585	DO i = nxlg, nxrg
1586	DO k = nzb_y_stg, nzt_y_stg+1
1587	DO ii = -n_x2(k), n_x2(k)
1588	DO kk = -n_z2(k), n_z2(k)
1589	f_n_l(k,i) = f_n_l(k,i) &
1590	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
1591	ENDDO
1592	ENDDO
1593	ENDDO
1594	ENDDO
1595
1596	DEALLOCATE( rand_it )
1597
1598	!
1599	!-- Gather velocity seeds of full subdomain
1600	send_count = nzt_y_stg - nzb_y_stg + 1
1601	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
1602
1603
1604	#if defined( __parallel )
1605	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
1606	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
1607	id, comm1dy, ierr )
1608	#else
1609	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
1610	#endif
1611
1612
1613	END SUBROUTINE stg_generate_seed_xz
1614
1615	END MODULE synthetic_turbulence_generator_mod

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