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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3229

Last change on this file since 3229 was 3186, checked in by suehring, 6 years ago
Mask topography while imposing inflow perturbations at the boundaries; do not impose perturbations at top boundary as well as ghost points; Remove print statement; Read zsoil dimension lenght only if soil variables are provided in dynamic driver
Property svn:keywords set to `Id`
File size: 64.3 KB

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

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