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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3245

Last change on this file since 3245 was 3241, checked in by raasch, 6 years ago
various changes to avoid compiler warnings (mainly removal of unused variables)
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 3241 2018-09-12 15:02:00Z knoop $
27	! unused variables removed
28	!
29	! 3186 2018-07-30 17:07:14Z suehring
30	! Mask topography while imposing inflow perturbations at the boundaries; do not
31	! impose perturbations at top boundary as well as ghost points
32	!
33	! 3183 2018-07-27 14:25:55Z suehring
34	! Rename variables and extend error message
35	! Enable geneartor also for stretched grids
36	!
37	! 3182 2018-07-27 13:36:03Z suehring
38	! Error message related to vertical stretching has been added, dz was replaced
39	! by dz(1)
40	!
41	! 3051 2018-05-30 17:43:55Z suehring
42	! Bugfix in calculation of initial Reynolds-stress tensor.
43	!
44	! 3045 2018-05-28 07:55:41Z Giersch
45	! Error messages revised
46	!
47	! 3044 2018-05-25 10:59:41Z gronemeier
48	! Add missing variable descriptions
49	!
50	! 3038 2018-05-24 10:54:00Z gronemeier
51	! updated variable descriptions
52	!
53	! 2967 2018-04-13 11:22:08Z raasch
54	! bugfix: missing parallel cpp-directives added
55	!
56	! 2946 2018-04-04 17:01:23Z suehring
57	! Remove unused module load
58	!
59	! 2945 2018-04-04 16:27:14Z suehring
60	! - Bugfix in parallelization of synthetic turbulence generator in case the
61	! z-dimension is not an integral divisor of the number of processors along
62	! the x- and y-dimension
63	! - Revision in control mimic in case of RAN-LES nesting
64	!
65	! 2938 2018-03-27 15:52:42Z suehring
66	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
67	! realistic Inifor large-scale forcing or RANS-LES nesting
68	!
69	! 2936 2018-03-27 14:49:27Z suehring
70	! variable named found has been introduced for checking if restart data was found,
71	! reading of restart strings has been moved completely to read_restart_data_mod,
72	! redundant skipping function has been removed, stg_read/write_restart_data
73	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
74	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
75	! *** have been removed (Giersch), strings and their respective lengths are
76	! written out and read now in case of restart runs to get rid of prescribed
77	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
78	!
79	! 2841 2018-02-27 15:02:57Z suehring
80	! Bugfix: wrong placement of include 'mpif.h' corrected
81	!
82	! 2836 2018-02-26 13:40:05Z Giersch
83	! The variables synthetic_turbulence_generator and
84	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
85	! flag is used to define if module related parameters were outputted as restart
86	! data
87	!
88	! 2716 2017-12-29 16:35:59Z kanani
89	! Corrected "Former revisions" section
90	!
91	! 2696 2017-12-14 17:12:51Z kanani
92	! Change in file header (GPL part)
93	!
94	! 2669 2017-12-06 16:03:27Z raasch
95	! unit number for file containing turbulence generator data changed to 90
96	! bugfix: preprocessor directives added for MPI specific code
97	!
98	! 2576 2017-10-24 13:49:46Z Giersch
99	! Definition of a new function called stg_skip_global to skip module
100	! parameters during reading restart data
101	!
102	! 2563 2017-10-19 15:36:10Z Giersch
103	! stg_read_restart_data is called in stg_parin in the case of a restart run
104	!
105	! 2259 2017-06-08 09:09:11Z gronemeier
106	! Initial revision
107	!
108	!
109	!
110	! Authors:
111	! --------
112	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
113	!
114	!
115	! Description:
116	! ------------
117	!> The module generates turbulence at the inflow boundary based on a method by
118	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
119	!> correction by Kim et al. (2013).
120	!> The turbulence is correlated based on length scales in y- and z-direction and
121	!> a time scale for each velocity component. The profiles of length and time
122	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
123	!> tensor are read from file STG_PROFILES.
124	!>
125	!> @todo test restart
126	!> enable cyclic_fill
127	!> implement turbulence generation for e and pt
128	!> @todo Input of height-constant length scales via namelist
129	!> @note <Enter notes on the module>
130	!> @bug Height information from input file is not used. Profiles from input
131	!> must match with current PALM grid.
132	!> In case of restart, velocity seeds differ from precursor run if a11,
133	!> a22, or a33 are zero.
134	!------------------------------------------------------------------------------!
135	MODULE synthetic_turbulence_generator_mod
136
137
138	USE arrays_3d, &
139	ONLY: mean_inflow_profiles, u, v, w
140
141	USE constants, &
142	ONLY: pi
143
144	USE control_parameters, &
145	ONLY: initializing_actions, message_string, syn_turb_gen
146
147	USE cpulog, &
148	ONLY: cpu_log, log_point, log_point_s
149
150	USE indices, &
151	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
152
153	USE kinds
154
155	#if defined( __parallel ) && !defined( __mpifh )
156	USE MPI
157	#endif
158
159	USE pegrid, &
160	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
161
162	USE transpose_indices, &
163	ONLY: nzb_x, nzt_x
164
165
166	IMPLICIT NONE
167
168	#if defined( __parallel ) && defined( __mpifh )
169	INCLUDE "mpif.h"
170	#endif
171
172
173	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
174	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
175
176	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
177	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
178	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
179	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
180	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
181	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
182	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
183	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
184	INTEGER(iwp) :: merg !< maximum length scale (in gp)
185	INTEGER(iwp) :: mergp !< merg + nbgp
186	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
187	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
188	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
189	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
190
191	REAL(wp) :: mc_factor !< mass flux correction factor
192
193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
194	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
195	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
196	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
197	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
198	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
199	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
200	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
201	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
202	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
203	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
204	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
205	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
206
207	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
208
209	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
210	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
211	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
212	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
213	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
214	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
215	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
216	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
217	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
218
219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
220	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
221	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
222	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
223	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
224	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
226	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
227	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
228	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
229	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
230	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
231	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
232	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
233	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
234	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
235	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
236	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
237	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
238	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
239	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
240
241
242	!
243	!-- PALM interfaces:
244	!-- Input parameter checks to be done in check_parameters
245	INTERFACE stg_check_parameters
246	MODULE PROCEDURE stg_check_parameters
247	END INTERFACE stg_check_parameters
248
249	!
250	!-- Calculate filter functions
251	INTERFACE stg_filter_func
252	MODULE PROCEDURE stg_filter_func
253	END INTERFACE stg_filter_func
254
255	!
256	!-- Generate velocity seeds at south and north domain boundary
257	INTERFACE stg_generate_seed_xz
258	MODULE PROCEDURE stg_generate_seed_xz
259	END INTERFACE stg_generate_seed_xz
260	!
261	!-- Generate velocity seeds at left and/or right domain boundary
262	INTERFACE stg_generate_seed_yz
263	MODULE PROCEDURE stg_generate_seed_yz
264	END INTERFACE stg_generate_seed_yz
265
266	!
267	!-- Output of information to the header file
268	INTERFACE stg_header
269	MODULE PROCEDURE stg_header
270	END INTERFACE stg_header
271
272	!
273	!-- Initialization actions
274	INTERFACE stg_init
275	MODULE PROCEDURE stg_init
276	END INTERFACE stg_init
277
278	!
279	!-- Main procedure of synth. turb. gen.
280	INTERFACE stg_main
281	MODULE PROCEDURE stg_main
282	END INTERFACE stg_main
283
284	!
285	!-- Reading of NAMELIST parameters
286	INTERFACE stg_parin
287	MODULE PROCEDURE stg_parin
288	END INTERFACE stg_parin
289
290	!
291	!-- Reading of parameters for restart runs
292	INTERFACE stg_rrd_global
293	MODULE PROCEDURE stg_rrd_global
294	END INTERFACE stg_rrd_global
295
296	!
297	!-- Writing of binary output for restart runs
298	INTERFACE stg_wrd_global
299	MODULE PROCEDURE stg_wrd_global
300	END INTERFACE stg_wrd_global
301
302	SAVE
303
304	PRIVATE
305
306	!
307	!-- Public interfaces
308	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
309	stg_wrd_global, stg_rrd_global
310
311	!
312	!-- Public variables
313	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
314	use_syn_turb_gen
315
316
317	CONTAINS
318
319
320	!------------------------------------------------------------------------------!
321	! Description:
322	! ------------
323	!> Check parameters routine for synthetic turbulence generator
324	!------------------------------------------------------------------------------!
325	SUBROUTINE stg_check_parameters
326
327
328	USE control_parameters, &
329	ONLY: bc_lr, bc_ns, child_domain, nesting_offline, rans_mode, &
330	turbulent_inflow
331
332	USE pmc_interface, &
333	ONLY : rans_mode_parent
334
335
336	IMPLICIT NONE
337
338	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. &
339	nesting_offline ) THEN
340	message_string = 'No synthetic turbulence generator is applied. ' // &
341	'In case PALM operates in LES mode and lateral ' // &
342	'boundary conditions are provided by COSMO model, ' // &
343	'turbulence may require large adjustment lenght at ' //&
344	'the lateral inflow boundaries. Please check your ' // &
345	'results carefully.'
346	CALL message( 'stg_check_parameters', 'PA0000', 0, 0, 0, 6, 0 )
347	ENDIF
348
349	IF ( .NOT. use_syn_turb_gen .AND. child_domain &
350	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
351	message_string = 'Synthetic turbulence generator has to be applied ' // &
352	'when nesting is applied and parent operates in ' // &
353	'RANS-mode but current child in LES mode.'
354	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
355	ENDIF
356
357	IF ( use_syn_turb_gen ) THEN
358
359	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
360
361	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
362	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
363	message_string = 'Using synthetic turbulence generator ' // &
364	'requires %initializing_actions = ' // &
365	'"set_constant_profiles" or "read_restart_data"'
366	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
367	ENDIF
368
369	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
370	message_string = 'Using synthetic turbulence generator ' // &
371	'requires &bc_lr = "dirichlet/radiation"'
372	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
373	ENDIF
374	IF ( bc_ns /= 'cyclic' ) THEN
375	message_string = 'Using synthetic turbulence generator ' // &
376	'requires &bc_ns = "cyclic"'
377	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
378	ENDIF
379
380	ENDIF
381
382	IF ( turbulent_inflow ) THEN
383	message_string = 'Using synthetic turbulence generator ' // &
384	'in combination &with turbulent_inflow = .T. '// &
385	'is not allowed'
386	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
387	ENDIF
388
389	ENDIF
390
391	END SUBROUTINE stg_check_parameters
392
393
394	!------------------------------------------------------------------------------!
395	! Description:
396	! ------------
397	!> Header output for synthetic turbulence generator
398	!------------------------------------------------------------------------------!
399	SUBROUTINE stg_header ( io )
400
401
402	IMPLICIT NONE
403
404	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
405
406	!
407	!-- Write synthetic turbulence generator Header
408	WRITE( io, 1 )
409	IF ( use_syn_turb_gen ) THEN
410	WRITE( io, 2 )
411	ELSE
412	WRITE( io, 3 )
413	ENDIF
414
415	1 FORMAT (//' Synthetic turbulence generator information:'/ &
416	' ------------------------------------------'/)
417	2 FORMAT (' synthetic turbulence generator switched on')
418	3 FORMAT (' synthetic turbulence generator switched off')
419
420	END SUBROUTINE stg_header
421
422
423	!------------------------------------------------------------------------------!
424	! Description:
425	! ------------
426	!> Initialization of the synthetic turbulence generator
427	!------------------------------------------------------------------------------!
428	SUBROUTINE stg_init
429
430
431	USE arrays_3d, &
432	ONLY: ddzw, u_init, v_init, zu
433
434	USE control_parameters, &
435	ONLY: child_domain, coupling_char, e_init, nesting_offline, rans_mode
436
437	USE grid_variables, &
438	ONLY: ddx, ddy
439
440	USE indices, &
441	ONLY: nz
442
443	USE pmc_interface, &
444	ONLY : rans_mode_parent
445
446
447	IMPLICIT NONE
448
449	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
450
451	#if defined( __parallel )
452	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
453	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
454	#endif
455
456	INTEGER(iwp) :: i !> grid index in x-direction
457	INTEGER(iwp) :: j !> loop index
458	INTEGER(iwp) :: k !< index
459	INTEGER(iwp) :: newtype !< dummy MPI type
460	INTEGER(iwp) :: realsize !< size of REAL variables
461	INTEGER(iwp) :: nseed !< dimension of random number seed
462	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
463
464	!
465	!-- Dummy variables used for reading profiles
466	REAL(wp) :: d1 !< u profile
467	REAL(wp) :: d2 !< v profile
468	REAL(wp) :: d3 !< w profile
469	REAL(wp) :: d5 !< e profile
470	REAL(wp) :: d11 !< vertical interpolation for a11
471	REAL(wp) :: d21 !< vertical interpolation for a21
472	REAL(wp) :: d22 !< vertical interpolation for a22
473	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
474	REAL(wp) :: luy !< length scale for u in y direction
475	REAL(wp) :: luz !< length scale for u in z direction
476	REAL(wp) :: lvy !< length scale for v in y direction
477	REAL(wp) :: lvz !< length scale for v in z direction
478	REAL(wp) :: lwy !< length scale for w in y direction
479	REAL(wp) :: lwz !< length scale for w in z direction
480	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
481	REAL(wp) :: zz !< height
482
483	REAL(wp) :: length_scale_surface !< typical length scale
484	REAL(wp) :: r_ii_0 !< correction factor
485	REAL(wp) :: time_scale !< typical time scale
486	REAL(wp) :: length_scale_z !< typical length scale
487
488	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
489	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
490	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
491	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
492	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
493	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
494
495
496	#if defined( __parallel )
497	CALL MPI_BARRIER( comm2d, ierr )
498	#endif
499
500	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
501
502	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
503	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
504
505	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
506	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
507	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
508	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
509	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
510	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
511
512	#if defined( __parallel )
513	!
514	!-- Determine processor decomposition of z-axis along x- and y-direction
515	nnz = nz / pdims(1)
516	nzb_x_stg = 1 + myidx * INT( nnz )
517	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
518
519	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
520	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
521	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
522
523	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
524	.AND. .NOT. rans_mode ) ) THEN
525	nnz = nz / pdims(2)
526	nzb_y_stg = 1 + myidy * INT( nnz )
527	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
528
529	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
530	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
531	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
532	ENDIF
533
534	!
535	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
536	!-- velocity seeds
537	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
538	extent = 1 * realsize
539	!
540	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
541	!-- layer
542	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
543	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
544	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
545	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
546	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
547	CALL MPI_TYPE_FREE( newtype, ierr )
548
549	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
550	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
551	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
552	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
553	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
554	CALL MPI_TYPE_FREE( newtype, ierr )
555
556	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
557	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
558
559	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
560	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
561
562	DO j = 1, pdims(1)
563	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
564	ENDDO
565	!
566	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
567	!-- layer
568	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
569	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
570	.AND. .NOT. rans_mode ) ) THEN
571	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
572	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
573	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
574	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
575	CALL MPI_TYPE_FREE( newtype, ierr )
576
577	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
578	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
579	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
580	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
581	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
582	CALL MPI_TYPE_FREE( newtype, ierr )
583
584	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
585	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
586
587	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
588	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
589
590	DO j = 1, pdims(2)
591	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
592	ENDDO
593
594	ENDIF
595
596	#endif
597	!
598	!-- Define seed of random number
599	CALL RANDOM_SEED()
600	CALL RANDOM_SEED( size=nseed )
601	ALLOCATE( seed(1:nseed) )
602	DO j = 1, nseed
603	seed(j) = startseed + j
604	ENDDO
605	CALL RANDOM_SEED(put=seed)
606
607	!-- Read inflow profile
608	!-- Height levels of profiles in input profile is as follows:
609	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
610	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
611	!-- WARNING: zz is not used at the moment
612	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
613	EXIST = file_stg_exist )
614
615	IF ( file_stg_exist ) THEN
616
617	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
618	FORM='FORMATTED')
619	!
620	!-- Skip header
621	READ( 90, * )
622
623	DO k = nzb+1, nzt+1
624	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
625	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
626	d1, d2, d3, d5
627
628	!
629	!-- Convert length scales from meter to number of grid points.
630	nuy(k) = INT( luy * ddy )
631	nuz(k) = INT( luz * ddzw(k) )
632	nvy(k) = INT( lvy * ddy )
633	nvz(k) = INT( lvz * ddzw(k) )
634	nwy(k) = INT( lwy * ddy )
635	nwz(k) = INT( lwz * ddzw(k) )
636	!
637	!-- Workaround, assume isotropic turbulence
638	nwx(k) = nwy(k)
639	nvx(k) = nvy(k)
640	nux(k) = nuy(k)
641	!
642	!-- Save Mean inflow profiles
643	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
644	mean_inflow_profiles(k,1) = d1
645	mean_inflow_profiles(k,2) = d2
646	! mean_inflow_profiles(k,4) = d4
647	mean_inflow_profiles(k,5) = d5
648	ENDIF
649	ENDDO
650	!
651	!-- Set lenght scales at surface grid point
652	nuy(nzb) = nuy(nzb+1)
653	nuz(nzb) = nuz(nzb+1)
654	nvy(nzb) = nvy(nzb+1)
655	nvz(nzb) = nvz(nzb+1)
656	nwy(nzb) = nwy(nzb+1)
657	nwz(nzb) = nwz(nzb+1)
658
659	CLOSE( 90 )
660
661	ELSE
662	!
663	!-- Set-up defaul length scales. Assume exponentially decreasing length
664	!-- scales and isotropic turbulence.
665	!-- Typical length (time) scales of 100 m (s) should be a good compromise
666	!-- between all stratrifications. Near-surface variances are fixed to
667	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
668	!-- Vertical fluxes
669	length_scale_surface = 100.0_wp
670	r_ii_0 = 0.1_wp
671	time_scale = 100.0_wp
672	DO k = nzb+1, nzt+1
673	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
674	0.0_wp, &
675	zu(k) > 0.3 * zu(nzt) &
676	)
677	length_scale_z = length_scale_surface * EXP( dum_exp )
678
679	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
680	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
681	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
682	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
683	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
684	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
685	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
686	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
687	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
688
689	r11(k) = r_ii_0 * EXP( dum_exp )
690	r22(k) = r_ii_0 * EXP( dum_exp )
691	r33(k) = r_ii_0 * EXP( dum_exp )
692
693	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
694	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
695	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
696
697	tu(k) = time_scale
698	tv(k) = time_scale
699	tw(k) = time_scale
700
701	ENDDO
702	nux(nzb) = nux(nzb+1)
703	nuy(nzb) = nuy(nzb+1)
704	nuz(nzb) = nuz(nzb+1)
705	nvx(nzb) = nvx(nzb+1)
706	nvy(nzb) = nvy(nzb+1)
707	nvz(nzb) = nvz(nzb+1)
708	nwx(nzb) = nwx(nzb+1)
709	nwy(nzb) = nwy(nzb+1)
710	nwz(nzb) = nwz(nzb+1)
711
712	r11(nzb) = r11(nzb+1)
713	r22(nzb) = r22(nzb+1)
714	r33(nzb) = r33(nzb+1)
715
716	r21(nzb) = r11(nzb+1)
717	r31(nzb) = r31(nzb+1)
718	r32(nzb) = r32(nzb+1)
719
720	tu(nzb) = time_scale
721	tv(nzb) = time_scale
722	tw(nzb) = time_scale
723
724	ENDIF
725
726	!
727	!-- Assign initial profiles
728	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
729	u_init = mean_inflow_profiles(:,1)
730	v_init = mean_inflow_profiles(:,2)
731	!pt_init = mean_inflow_profiles(:,4)
732	e_init = MAXVAL( mean_inflow_profiles(:,5) )
733	ENDIF
734	!
735	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
736	DO k = nzb, nzt+1
737	IF ( r11(k) > 0.0_wp ) THEN
738	a11(k) = SQRT( r11(k) )
739	a21(k) = r21(k) / a11(k)
740	ELSE
741	a11(k) = 0.0_wp
742	a21(k) = 0.0_wp
743	ENDIF
744
745	a22(k) = r22(k) - a21(k)**2
746	IF ( a22(k) > 0.0_wp ) THEN
747	a22(k) = SQRT( a22(k) )
748	ELSE
749	a22(k) = 0.0_wp
750	ENDIF
751
752	!
753	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
754	!-- d21, d22) because of different vertical grid
755	IF ( k .le. nzt ) THEN
756	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
757	IF ( d11 > 0.0_wp ) THEN
758	d11 = SQRT( d11 )
759	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
760	a31(k) = r31(k) / d11
761	ELSE
762	d21 = 0.0_wp
763	a31(k) = 0.0_wp
764	ENDIF
765
766	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
767	IF ( d22 > 0.0_wp ) THEN
768	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
769	ELSE
770	a32(k) = 0.0_wp
771	ENDIF
772
773	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
774	IF ( a33(k) > 0.0_wp ) THEN
775	a33(k) = SQRT( a33(k) )
776	ELSE
777	a33(k) = 0.0_wp
778	ENDIF
779	ELSE
780	a31(k) = a31(k-1)
781	a32(k) = a32(k-1)
782	a33(k) = a33(k-1)
783	ENDIF
784
785	ENDDO
786	!
787	!-- Define the size of the filter functions and allocate them.
788	merg = 0
789
790	! arrays must be large enough to cover the largest length scale
791	DO k = nzb, nzt+1
792	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
793	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
794	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
795	IF ( j > merg ) merg = j
796	ENDDO
797
798	merg = 2 * merg
799	mergp = merg + nbgp
800
801	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
802	buy(-merg:merg,nzb:nzt+1), &
803	buz(-merg:merg,nzb:nzt+1), &
804	bvx(-merg:merg,nzb:nzt+1), &
805	bvy(-merg:merg,nzb:nzt+1), &
806	bvz(-merg:merg,nzb:nzt+1), &
807	bwx(-merg:merg,nzb:nzt+1), &
808	bwy(-merg:merg,nzb:nzt+1), &
809	bwz(-merg:merg,nzb:nzt+1) )
810
811	!
812	!-- Allocate velocity seeds for turbulence at xz-layer
813	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
814	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
815	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
816
817	!
818	!-- Allocate velocity seeds for turbulence at yz-layer
819	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
820	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
821	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
822
823	fu_xz = 0.0_wp
824	fuo_xz = 0.0_wp
825	fv_xz = 0.0_wp
826	fvo_xz = 0.0_wp
827	fw_xz = 0.0_wp
828	fwo_xz = 0.0_wp
829
830	fu_yz = 0.0_wp
831	fuo_yz = 0.0_wp
832	fv_yz = 0.0_wp
833	fvo_yz = 0.0_wp
834	fw_yz = 0.0_wp
835	fwo_yz = 0.0_wp
836
837	!
838	!-- Create filter functions
839	CALL stg_filter_func( nux, bux ) !filter ux
840	CALL stg_filter_func( nuy, buy ) !filter uy
841	CALL stg_filter_func( nuz, buz ) !filter uz
842	CALL stg_filter_func( nvx, bvx ) !filter vx
843	CALL stg_filter_func( nvy, bvy ) !filter vy
844	CALL stg_filter_func( nvz, bvz ) !filter vz
845	CALL stg_filter_func( nwx, bwx ) !filter wx
846	CALL stg_filter_func( nwy, bwy ) !filter wy
847	CALL stg_filter_func( nwz, bwz ) !filter wz
848
849	#if defined( __parallel )
850	CALL MPI_BARRIER( comm2d, ierr )
851	#endif
852
853	!
854	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
855	! time step.
856	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
857	! are 0 compared to the prerun. This is mostly for k=nzt+1.
858	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
859	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
860
861	IF ( myidx == id_stg_left ) i = -1
862	IF ( myidx == id_stg_right ) i = nxr+1
863
864	DO j = nysg, nyng
865	DO k = nzb, nzt+1
866
867	IF ( a11(k) .NE. 0._wp ) THEN
868	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
869	ELSE
870	fu_yz(k,j) = 0._wp
871	ENDIF
872
873	IF ( a22(k) .NE. 0._wp ) THEN
874	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
875	v_init(k) ) / a22(k)
876	ELSE
877	fv_yz(k,j) = 0._wp
878	ENDIF
879
880	IF ( a33(k) .NE. 0._wp ) THEN
881	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
882	a32(k) * fv_yz(k,j) ) / a33(k)
883	ELSE
884	fw_yz = 0._wp
885	ENDIF
886
887	ENDDO
888	ENDDO
889	ENDIF
890	ENDIF
891
892	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
893
894	END SUBROUTINE stg_init
895
896
897	!------------------------------------------------------------------------------!
898	! Description:
899	! ------------
900	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
901	!> (Xie and Castro, 2008)
902	!------------------------------------------------------------------------------!
903	SUBROUTINE stg_filter_func( nxx, bxx )
904
905
906	IMPLICIT NONE
907
908	INTEGER(iwp) :: k !< loop index
909	INTEGER(iwp) :: n_k !< length scale nXX in height k
910	INTEGER(iwp) :: n_k2 !< n_k * 2
911	INTEGER(iwp) :: nf !< index for length scales
912
913	REAL(wp) :: bdenom !< denominator for filter functions bXX
914	REAL(wp) :: qsi = 1.0_wp !< minimization factor
915
916	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
917
918	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
919
920
921	bxx = 0.0_wp
922
923	DO k = nzb, nzt+1
924	bdenom = 0.0_wp
925	n_k = nxx(k)
926	IF ( n_k /= 0 ) THEN
927	n_k2 = n_k * 2
928
929	!
930	!-- ( Eq.10 )^2
931	DO nf = -n_k2, n_k2
932	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
933	ENDDO
934
935	!
936	!-- ( Eq.9 )
937	bdenom = SQRT( bdenom )
938	DO nf = -n_k2, n_k2
939	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
940	ENDDO
941	ENDIF
942	ENDDO
943
944	END SUBROUTINE stg_filter_func
945
946
947	!------------------------------------------------------------------------------!
948	! Description:
949	! ------------
950	!> Parin for &stg_par for synthetic turbulence generator
951	!------------------------------------------------------------------------------!
952	SUBROUTINE stg_parin
953
954
955	IMPLICIT NONE
956
957	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
958
959
960	NAMELIST /stg_par/ use_syn_turb_gen
961
962	line = ' '
963
964	!
965	!-- Try to find stg package
966	REWIND ( 11 )
967	line = ' '
968	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
969	READ ( 11, '(A)', END=10 ) line
970	ENDDO
971	BACKSPACE ( 11 )
972
973	!
974	!-- Read namelist
975	READ ( 11, stg_par )
976
977	!
978	!-- Set flag that indicates that the synthetic turbulence generator is switched
979	!-- on
980	syn_turb_gen = .TRUE.
981
982
983	10 CONTINUE
984
985	END SUBROUTINE stg_parin
986
987
988	!------------------------------------------------------------------------------!
989	! Description:
990	! ------------
991	!> This routine reads the respective restart data.
992	!------------------------------------------------------------------------------!
993	SUBROUTINE stg_rrd_global( found )
994
995
996	USE control_parameters, &
997	ONLY: length, restart_string
998
999
1000	IMPLICIT NONE
1001
1002	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
1003
1004
1005	found = .TRUE.
1006
1007
1008	SELECT CASE ( restart_string(1:length) )
1009
1010	CASE ( 'mc_factor' )
1011	READ ( 13 ) mc_factor
1012	CASE ( 'use_syn_turb_gen' )
1013	READ ( 13 ) use_syn_turb_gen
1014
1015	CASE DEFAULT
1016
1017	found = .FALSE.
1018
1019	END SELECT
1020
1021
1022	END SUBROUTINE stg_rrd_global
1023
1024
1025	!------------------------------------------------------------------------------!
1026	! Description:
1027	! ------------
1028	!> This routine writes the respective restart data.
1029	!------------------------------------------------------------------------------!
1030	SUBROUTINE stg_wrd_global
1031
1032
1033	IMPLICIT NONE
1034
1035	CALL wrd_write_string( 'mc_factor' )
1036	WRITE ( 14 ) mc_factor
1037
1038	CALL wrd_write_string( 'use_syn_turb_gen' )
1039	WRITE ( 14 ) use_syn_turb_gen
1040
1041
1042	END SUBROUTINE stg_wrd_global
1043
1044
1045	!------------------------------------------------------------------------------!
1046	! Description:
1047	! ------------
1048	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
1049	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
1050	!> following suggestions of Kim et al. (2013), and using a Lund rotation
1051	!> (Lund, 1998).
1052	!------------------------------------------------------------------------------!
1053	SUBROUTINE stg_main
1054
1055
1056	USE arrays_3d, &
1057	ONLY: dzw
1058
1059	USE control_parameters, &
1060	ONLY: child_domain, dt_3d, intermediate_timestep_count, &
1061	nesting_offline, rans_mode, simulated_time, volume_flow_initial
1062
1063	USE grid_variables, &
1064	ONLY: dx, dy
1065
1066	USE indices, &
1067	ONLY: wall_flags_0
1068
1069	USE statistics, &
1070	ONLY: weight_substep
1071
1072	USE pmc_interface, &
1073	ONLY : rans_mode_parent
1074
1075
1076	IMPLICIT NONE
1077
1078	INTEGER(iwp) :: i !< grid index in x-direction
1079	INTEGER(iwp) :: j !< loop index in y-direction
1080	INTEGER(iwp) :: k !< loop index in z-direction
1081
1082	REAL(wp) :: dt_stg !< wheighted subtimestep
1083	REAL(wp) :: mc_factor_l !< local mass flux correction factor
1084	REAL(wp) :: volume_flow !< mass flux through lateral boundary
1085	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
1086
1087	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
1088	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
1089
1090
1091	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
1092
1093	!
1094	!-- Calculate time step which is needed for filter functions
1095	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
1096
1097	!
1098	!-- Initial value of fu, fv, fw
1099	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
1100	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
1101	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
1102	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
1103
1104	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
1105	.AND. .NOT. rans_mode ) ) THEN
1106	!
1107	!-- Generate turbulence at right boundary
1108	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
1109	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
1110	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
1111	!
1112	!-- Generate turbulence at north boundary
1113	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
1114	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
1115	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
1116	!
1117	!-- Generate turbulence at south boundary
1118	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
1119	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
1120	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
1121	ENDIF
1122	velocity_seed_initialized = .TRUE.
1123	ENDIF
1124	!
1125	!-- New set of fu, fv, fw
1126	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
1127	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
1128	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
1129
1130	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
1131	.AND. .NOT. rans_mode ) ) THEN
1132	!
1133	!-- Generate turbulence at right boundary
1134	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
1135	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
1136	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
1137	!
1138	!-- Generate turbulence at north boundary
1139	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
1140	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
1141	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
1142	!
1143	!-- Generate turbulence at south boundary
1144	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
1145	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
1146	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
1147	ENDIF
1148	!
1149	!-- Turbulence generation at left and or right boundary
1150	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
1151
1152	DO j = nysg, nyng
1153	DO k = nzb, nzt + 1
1154	!
1155	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1156	IF ( tu(k) == 0.0_wp ) THEN
1157	fu_yz(k,j) = fuo_yz(k,j)
1158	ELSE
1159	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1160	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1161	ENDIF
1162
1163	IF ( tv(k) == 0.0_wp ) THEN
1164	fv_yz(k,j) = fvo_yz(k,j)
1165	ELSE
1166	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1167	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1168	ENDIF
1169
1170	IF ( tw(k) == 0.0_wp ) THEN
1171	fw_yz(k,j) = fwo_yz(k,j)
1172	ELSE
1173	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1174	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1175	ENDIF
1176	!
1177	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1178	!-- Additional factors are added to improve the variance of v and w
1179	IF( k == 0 ) THEN
1180	dist_yz(k,j,1) = 0.0_wp
1181	dist_yz(k,j,2) = 0.0_wp
1182	dist_yz(k,j,3) = 0.0_wp
1183	! dist_yz(k,j,4) = 0.0_wp
1184	! dist_yz(k,j,5) = 0.0_wp
1185	ELSE
1186	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
1187	!experimental test of 1.2
1188	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1189	* 1.2_wp ) &
1190	* ( a21(k) * fu_yz(k,j) &
1191	+ a22(k) * fv_yz(k,j) )
1192	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1193	* 1.3_wp ) &
1194	* ( a31(k) * fu_yz(k,j) &
1195	+ a32(k) * fv_yz(k,j) &
1196	+ a33(k) * fw_yz(k,j) )
1197	! Calculation for pt and e not yet implemented
1198	! dist_yz(k,j,4) = 0.0_wp
1199	! dist_yz(k,j,5) = 0.0_wp
1200	ENDIF
1201
1202	ENDDO
1203	ENDDO
1204
1205	!
1206	!-- Mass flux correction following Kim et al. (2013)
1207	!-- This correction factor insures that the mass flux is preserved at the
1208	!-- inflow boundary
1209	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
1210	mc_factor_l = 0.0_wp
1211	mc_factor = 0.0_wp
1212	DO j = nys, nyn
1213	DO k = nzb+1, nzt
1214	mc_factor_l = mc_factor_l + dzw(k) * &
1215	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
1216	ENDDO
1217	ENDDO
1218
1219	#if defined( __parallel )
1220	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1221	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1222	#else
1223	mc_factor = mc_factor_l
1224	#endif
1225
1226	mc_factor = volume_flow_initial(1) / mc_factor
1227
1228	!
1229	!-- Add disturbance at the inflow
1230	DO j = nysg, nyng
1231	DO k = nzb, nzt+1
1232	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
1233	dist_yz(k,j,1) ) * mc_factor
1234	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
1235	dist_yz(k,j,2) ) * mc_factor
1236	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
1237	ENDDO
1238	ENDDO
1239
1240	ELSE
1241	!
1242	!-- First, calculate volume flow at yz boundary
1243	IF ( myidx == id_stg_left ) i = nxl
1244	IF ( myidx == id_stg_right ) i = nxr+1
1245
1246	volume_flow_l = 0.0_wp
1247	volume_flow = 0.0_wp
1248	mc_factor_l = 0.0_wp
1249	mc_factor = 0.0_wp
1250	DO j = nys, nyn
1251	DO k = nzb+1, nzt
1252	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
1253	* MERGE( 1.0_wp, 0.0_wp, &
1254	BTEST( wall_flags_0(k,j,i), 1 ) )
1255
1256	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
1257	* dzw(k) * dy &
1258	* MERGE( 1.0_wp, 0.0_wp, &
1259	BTEST( wall_flags_0(k,j,i), 1 ) )
1260	ENDDO
1261	ENDDO
1262	#if defined( __parallel )
1263	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1264	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1265	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1266	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1267	#else
1268	volume_flow = volume_flow_l
1269	mc_factor = mc_factor_l
1270	#endif
1271
1272	mc_factor = volume_flow / mc_factor
1273
1274	!
1275	!-- Add disturbances
1276	IF ( myidx == id_stg_left ) THEN
1277
1278	DO j = nys, nyn
1279	DO k = nzb, nzt
1280	u(k,j,0) = ( u(k,j,0) + dist_yz(k,j,1) ) &
1281	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1282	BTEST( wall_flags_0(k,j,0), 1 ) )
1283	v(k,j,-1) = ( v(k,j,-1) + dist_yz(k,j,2) ) &
1284	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1285	BTEST( wall_flags_0(k,j,-1), 2 ) )
1286	w(k,j,-1) = ( w(k,j,-1) + dist_yz(k,j,3) ) &
1287	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1288	BTEST( wall_flags_0(k,j,-1), 3 ) )
1289	ENDDO
1290	ENDDO
1291	ENDIF
1292	IF ( myidx == id_stg_right ) THEN
1293
1294	DO j = nys, nyn
1295	DO k = nzb, nzt
1296	u(k,j,nxr+1) = ( u(k,j,nxr+1) + dist_yz(k,j,1) ) &
1297	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1298	BTEST( wall_flags_0(k,j,nxr+1), 1 ) )
1299	v(k,j,nxr+1) = ( v(k,j,nxr+1) + dist_yz(k,j,2) ) &
1300	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1301	BTEST( wall_flags_0(k,j,nxr+1), 2 ) )
1302	w(k,j,nxr+1) = ( w(k,j,nxr+1) + dist_yz(k,j,3) ) &
1303	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1304	BTEST( wall_flags_0(k,j,nxr+1), 3 ) )
1305	ENDDO
1306	ENDDO
1307	ENDIF
1308	ENDIF
1309
1310	ENDIF
1311	!
1312	!-- Turbulence generation at north and south boundary
1313	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
1314
1315	DO i = nxlg, nxrg
1316	DO k = nzb, nzt + 1
1317	!
1318	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1319	IF ( tu(k) == 0.0_wp ) THEN
1320	fu_xz(k,i) = fuo_xz(k,i)
1321	ELSE
1322	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1323	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1324	ENDIF
1325
1326	IF ( tv(k) == 0.0_wp ) THEN
1327	fv_xz(k,i) = fvo_xz(k,i)
1328	ELSE
1329	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1330	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1331	ENDIF
1332
1333	IF ( tw(k) == 0.0_wp ) THEN
1334	fw_xz(k,i) = fwo_xz(k,i)
1335	ELSE
1336	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1337	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1338	ENDIF
1339	!
1340	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1341	!-- Additional factors are added to improve the variance of v and w
1342	IF( k == 0 ) THEN
1343	dist_xz(k,i,1) = 0.0_wp
1344	dist_xz(k,i,2) = 0.0_wp
1345	dist_xz(k,i,3) = 0.0_wp
1346
1347	ELSE
1348	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
1349	!experimental test of 1.2
1350	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1351	* 1.2_wp ) &
1352	* ( a21(k) * fu_xz(k,i) &
1353	+ a22(k) * fv_xz(k,i) )
1354	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1355	* 1.3_wp ) &
1356	* ( a31(k) * fu_xz(k,i) &
1357	+ a32(k) * fv_xz(k,i) &
1358	+ a33(k) * fw_xz(k,i) )
1359	ENDIF
1360
1361	ENDDO
1362	ENDDO
1363	!
1364	!-- Mass flux correction following Kim et al. (2013)
1365	!-- This correction factor insures that the mass flux is preserved at the
1366	!-- inflow boundary.
1367	!-- First, calculate volume flow at xz boundary
1368	IF ( myidy == id_stg_south ) j = nys
1369	IF ( myidy == id_stg_north ) j = nyn+1
1370
1371	volume_flow_l = 0.0_wp
1372	volume_flow = 0.0_wp
1373	mc_factor_l = 0.0_wp
1374	mc_factor = 0.0_wp
1375	DO i = nxl, nxr
1376	DO k = nzb+1, nzt
1377	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
1378	* MERGE( 1.0_wp, 0.0_wp, &
1379	BTEST( wall_flags_0(k,j,i), 2 ) )
1380
1381	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
1382	* dzw(k) * dx &
1383	* MERGE( 1.0_wp, 0.0_wp, &
1384	BTEST( wall_flags_0(k,j,i), 2 ) )
1385	ENDDO
1386	ENDDO
1387	#if defined( __parallel )
1388	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1389	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1390	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1391	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1392	#else
1393	volume_flow = volume_flow_l
1394	mc_factor = mc_factor_l
1395	#endif
1396
1397	mc_factor = volume_flow / mc_factor
1398
1399	!
1400	!-- Add disturbances
1401	IF ( myidy == id_stg_south ) THEN
1402
1403	DO i = nxl, nxr
1404	DO k = nzb, nzt
1405	u(k,-1,i) = ( u(k,-1,i) + dist_xz(k,i,1) ) &
1406	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1407	BTEST( wall_flags_0(k,-1,i), 1 ) )
1408	v(k,0,i) = ( v(k,0,i) + dist_xz(k,i,2) ) &
1409	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1410	BTEST( wall_flags_0(k,0,i), 2 ) )
1411	w(k,-1,i) = ( w(k,-1,i) + dist_xz(k,i,3) ) &
1412	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1413	BTEST( wall_flags_0(k,-1,i), 3 ) )
1414	ENDDO
1415	ENDDO
1416	ENDIF
1417	IF ( myidy == id_stg_north ) THEN
1418
1419	DO i = nxl, nxr
1420	DO k = nzb, nzt
1421	u(k,nyn+1,i) = ( u(k,nyn+1,i) + dist_xz(k,i,1) ) &
1422	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1423	BTEST( wall_flags_0(k,nyn+1,i), 1 ) )
1424	v(k,nyn+1,i) = ( v(k,nyn+1,i) + dist_xz(k,i,1) ) &
1425	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1426	BTEST( wall_flags_0(k,nyn+1,i), 2 ) )
1427	w(k,nyn+1,i) = ( w(k,nyn+1,i) + dist_xz(k,i,1) ) &
1428	* mc_factor * MERGE( 1.0_wp, 0.0_wp, &
1429	BTEST( wall_flags_0(k,nyn+1,i), 3 ) )
1430	ENDDO
1431	ENDDO
1432	ENDIF
1433	ENDIF
1434
1435	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
1436
1437	END SUBROUTINE stg_main
1438
1439	!------------------------------------------------------------------------------!
1440	! Description:
1441	! ------------
1442	!> Generate a set of random number rand_it wich is equal on each PE
1443	!> and calculate the velocity seed f_n.
1444	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
1445	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1446	!> parts are collected to form the full array.
1447	!------------------------------------------------------------------------------!
1448	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
1449
1450
1451	USE indices, &
1452	ONLY: ny
1453
1454	IMPLICIT NONE
1455
1456	INTEGER(iwp) :: id !< core ids at respective boundaries
1457	INTEGER(iwp) :: j !< loop index in y-direction
1458	INTEGER(iwp) :: jj !< loop index in y-direction
1459	INTEGER(iwp) :: k !< loop index in z-direction
1460	INTEGER(iwp) :: kk !< loop index in z-direction
1461	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1462
1463	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
1464	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1465	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
1466	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1467
1468	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
1469	REAL(wp) :: rand_av !< average of random number
1470	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1471
1472	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
1473	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1474	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
1475	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
1476	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1477
1478
1479	!
1480	!-- Generate random numbers using a seed generated in stg_init.
1481	!-- The set of random numbers are modified to have an average of 0 and
1482	!-- unit variance.
1483	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
1484
1485	rand_av = 0.0_wp
1486	rand_sigma_inv = 0.0_wp
1487	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
1488
1489	DO j = 0, ny
1490	DO k = nzb, nzt+1
1491	CALL RANDOM_NUMBER( rand_it(k,j) )
1492	rand_av = rand_av + rand_it(k,j)
1493	ENDDO
1494	ENDDO
1495
1496	rand_av = rand_av * nyz_inv
1497
1498	DO j = 0, ny
1499	DO k = nzb, nzt+1
1500	rand_it(k,j) = rand_it(k,j) - rand_av
1501	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
1502	ENDDO
1503	ENDDO
1504
1505	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
1506
1507	DO j = 0, ny
1508	DO k = nzb, nzt+1
1509	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
1510	ENDDO
1511	ENDDO
1512
1513	!
1514	!-- Periodic fill of random number in space
1515	DO j = 0, ny
1516	DO k = 1, mergp
1517	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
1518	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
1519	ENDDO
1520	ENDDO
1521	DO j = 1, mergp
1522	DO k = nzb-mergp, nzt+1+mergp
1523	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
1524	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
1525	ENDDO
1526	ENDDO
1527
1528	!
1529	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1530	n_y2 = n_y * 2
1531	n_z2 = n_z * 2
1532	f_n_l = 0.0_wp
1533
1534	DO j = nysg, nyng
1535	DO k = nzb_x_stg, nzt_x_stg+1
1536	DO jj = -n_y2(k), n_y2(k)
1537	DO kk = -n_z2(k), n_z2(k)
1538	f_n_l(k,j) = f_n_l(k,j) &
1539	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
1540	ENDDO
1541	ENDDO
1542	ENDDO
1543	ENDDO
1544
1545	DEALLOCATE( rand_it )
1546	!
1547	!-- Gather velocity seeds of full subdomain
1548	send_count = nzt_x_stg - nzb_x_stg + 1
1549	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
1550
1551	#if defined( __parallel )
1552	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
1553	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
1554	id, comm1dx, ierr )
1555	#else
1556	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
1557	#endif
1558
1559
1560	END SUBROUTINE stg_generate_seed_yz
1561
1562
1563
1564
1565	!------------------------------------------------------------------------------!
1566	! Description:
1567	! ------------
1568	!> Generate a set of random number rand_it wich is equal on each PE
1569	!> and calculate the velocity seed f_n.
1570	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
1571	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1572	!> parts are collected to form the full array.
1573	!------------------------------------------------------------------------------!
1574	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
1575
1576
1577	USE indices, &
1578	ONLY: nx
1579
1580
1581	IMPLICIT NONE
1582
1583	INTEGER(iwp) :: id !< core ids at respective boundaries
1584	INTEGER(iwp) :: i !< loop index in x-direction
1585	INTEGER(iwp) :: ii !< loop index in x-direction
1586	INTEGER(iwp) :: k !< loop index in z-direction
1587	INTEGER(iwp) :: kk !< loop index in z-direction
1588	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1589
1590	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
1591	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1592	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
1593	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1594
1595	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
1596	REAL(wp) :: rand_av !< average of random number
1597	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1598
1599	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
1600	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1601	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
1602	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
1603	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1604
1605
1606	!
1607	!-- Generate random numbers using a seed generated in stg_init.
1608	!-- The set of random numbers are modified to have an average of 0 and
1609	!-- unit variance.
1610	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
1611
1612	rand_av = 0.0_wp
1613	rand_sigma_inv = 0.0_wp
1614	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
1615
1616	DO i = 0, nx
1617	DO k = nzb, nzt+1
1618	CALL RANDOM_NUMBER( rand_it(k,i) )
1619	rand_av = rand_av + rand_it(k,i)
1620	ENDDO
1621	ENDDO
1622
1623	rand_av = rand_av * nxz_inv
1624
1625	DO i = 0, nx
1626	DO k = nzb, nzt+1
1627	rand_it(k,i) = rand_it(k,i) - rand_av
1628	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
1629	ENDDO
1630	ENDDO
1631
1632	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
1633
1634	DO i = 0, nx
1635	DO k = nzb, nzt+1
1636	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
1637	ENDDO
1638	ENDDO
1639
1640	!
1641	!-- Periodic fill of random number in space
1642	DO i = 0, nx
1643	DO k = 1, mergp
1644	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
1645	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
1646	ENDDO
1647	ENDDO
1648	DO i = 1, mergp
1649	DO k = nzb-mergp, nzt+1+mergp
1650	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
1651	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
1652	ENDDO
1653	ENDDO
1654
1655	!
1656	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1657	n_x2 = n_x * 2
1658	n_z2 = n_z * 2
1659	f_n_l = 0.0_wp
1660
1661	DO i = nxlg, nxrg
1662	DO k = nzb_y_stg, nzt_y_stg+1
1663	DO ii = -n_x2(k), n_x2(k)
1664	DO kk = -n_z2(k), n_z2(k)
1665	f_n_l(k,i) = f_n_l(k,i) &
1666	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
1667	ENDDO
1668	ENDDO
1669	ENDDO
1670	ENDDO
1671
1672	DEALLOCATE( rand_it )
1673
1674	!
1675	!-- Gather velocity seeds of full subdomain
1676	send_count = nzt_y_stg - nzb_y_stg + 1
1677	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
1678
1679
1680	#if defined( __parallel )
1681	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
1682	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
1683	id, comm1dy, ierr )
1684	#else
1685	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
1686	#endif
1687
1688
1689	END SUBROUTINE stg_generate_seed_xz
1690
1691	END MODULE synthetic_turbulence_generator_mod

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