Home

Context Navigation

source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3049

Last change on this file since 3049 was 3049, checked in by Giersch, 6 years ago
Revision history corrected
Property svn:keywords set to `Id`
File size: 62.1 KB

Line
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 3049 2018-05-29 13:52:36Z Giersch $
27	! Error messages revised
28	!
29	! 3045 2018-05-28 07:55:41Z Giersch
30	! Error message revised
31	!
32	! 3044 2018-05-25 10:59:41Z gronemeier
33	! Add missing variable descriptions
34	!
35	! 3038 2018-05-24 10:54:00Z gronemeier
36	! updated variable descriptions
37	!
38	! 2967 2018-04-13 11:22:08Z raasch
39	! bugfix: missing parallel cpp-directives added
40	!
41	! 2946 2018-04-04 17:01:23Z suehring
42	! Remove unused module load
43	!
44	! 2945 2018-04-04 16:27:14Z suehring
45	! - Bugfix in parallelization of synthetic turbulence generator in case the
46	! z-dimension is not an integral divisor of the number of processors along
47	! the x- and y-dimension
48	! - Revision in control mimic in case of RAN-LES nesting
49	!
50	! 2938 2018-03-27 15:52:42Z suehring
51	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
52	! realistic Inifor large-scale forcing or RANS-LES nesting
53	!
54	! 2936 2018-03-27 14:49:27Z suehring
55	! variable named found has been introduced for checking if restart data was found,
56	! reading of restart strings has been moved completely to read_restart_data_mod,
57	! redundant skipping function has been removed, stg_read/write_restart_data
58	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
59	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
60	! *** have been removed (Giersch), strings and their respective lengths are
61	! written out and read now in case of restart runs to get rid of prescribed
62	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
63	!
64	! 2841 2018-02-27 15:02:57Z suehring
65	! Bugfix: wrong placement of include 'mpif.h' corrected
66	!
67	! 2836 2018-02-26 13:40:05Z Giersch
68	! The variables synthetic_turbulence_generator and
69	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
70	! flag is used to define if module related parameters were outputted as restart
71	! data
72	!
73	! 2716 2017-12-29 16:35:59Z kanani
74	! Corrected "Former revisions" section
75	!
76	! 2696 2017-12-14 17:12:51Z kanani
77	! Change in file header (GPL part)
78	!
79	! 2669 2017-12-06 16:03:27Z raasch
80	! unit number for file containing turbulence generator data changed to 90
81	! bugfix: preprocessor directives added for MPI specific code
82	!
83	! 2576 2017-10-24 13:49:46Z Giersch
84	! Definition of a new function called stg_skip_global to skip module
85	! parameters during reading restart data
86	!
87	! 2563 2017-10-19 15:36:10Z Giersch
88	! stg_read_restart_data is called in stg_parin in the case of a restart run
89	!
90	! 2259 2017-06-08 09:09:11Z gronemeier
91	! Initial revision
92	!
93	!
94	!
95	! Authors:
96	! --------
97	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
98	!
99	!
100	! Description:
101	! ------------
102	!> The module generates turbulence at the inflow boundary based on a method by
103	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
104	!> correction by Kim et al. (2013).
105	!> The turbulence is correlated based on length scales in y- and z-direction and
106	!> a time scale for each velocity component. The profiles of length and time
107	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
108	!> tensor are read from file STG_PROFILES.
109	!>
110	!> @todo test restart
111	!> enable cyclic_fill
112	!> implement turbulence generation for e and pt
113	!> @todo Input of height-constant length scales via namelist
114	!> @note <Enter notes on the module>
115	!> @bug Height information from input file is not used. Profiles from input
116	!> must match with current PALM grid.
117	!> Transformation of length scales to number of gridpoints does not
118	!> consider grid stretching.
119	!> In case of restart, velocity seeds differ from precursor run if a11,
120	!> a22, or a33 are zero.
121	!------------------------------------------------------------------------------!
122	MODULE synthetic_turbulence_generator_mod
123
124
125	USE arrays_3d, &
126	ONLY: mean_inflow_profiles, u, v, w
127
128	USE constants, &
129	ONLY: pi
130
131	USE control_parameters, &
132	ONLY: initializing_actions, message_string, syn_turb_gen
133
134	USE cpulog, &
135	ONLY: cpu_log, log_point, log_point_s
136
137	USE indices, &
138	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
139
140	USE kinds
141
142	#if defined( __parallel ) && !defined( __mpifh )
143	USE MPI
144	#endif
145
146	USE pegrid, &
147	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
148
149	USE transpose_indices, &
150	ONLY: nzb_x, nzt_x
151
152
153	IMPLICIT NONE
154
155	#if defined( __parallel ) && defined( __mpifh )
156	INCLUDE "mpif.h"
157	#endif
158
159	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
160	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
161
162	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
163	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
164	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
165	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
166	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
167	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
168	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
169	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
170	INTEGER(iwp) :: merg !< maximum length scale (in gp)
171	INTEGER(iwp) :: mergp !< merg + nbgp
172	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
173	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
174	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
175	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
176
177	REAL(wp) :: mc_factor !< mass flux correction factor
178
179	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
180	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
181	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
182	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
183	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
184	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
185	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
186	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
187	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
188	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
189	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
190	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
191	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
192
193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
194
195	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
196	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
197	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
198	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
199	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
200	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
201	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
202	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
203	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
204
205	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
206	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
207	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
208	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
209	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
210	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
211	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
212	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
213	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
214	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
215	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
216	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
217	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
218	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
220	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
221	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
222	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
223	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
224	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
226
227
228	!
229	!-- PALM interfaces:
230	!-- Input parameter checks to be done in check_parameters
231	INTERFACE stg_check_parameters
232	MODULE PROCEDURE stg_check_parameters
233	END INTERFACE stg_check_parameters
234
235	!
236	!-- Calculate filter functions
237	INTERFACE stg_filter_func
238	MODULE PROCEDURE stg_filter_func
239	END INTERFACE stg_filter_func
240
241	!
242	!-- Generate velocity seeds at south and north domain boundary
243	INTERFACE stg_generate_seed_xz
244	MODULE PROCEDURE stg_generate_seed_xz
245	END INTERFACE stg_generate_seed_xz
246	!
247	!-- Generate velocity seeds at left and/or right domain boundary
248	INTERFACE stg_generate_seed_yz
249	MODULE PROCEDURE stg_generate_seed_yz
250	END INTERFACE stg_generate_seed_yz
251
252	!
253	!-- Output of information to the header file
254	INTERFACE stg_header
255	MODULE PROCEDURE stg_header
256	END INTERFACE stg_header
257
258	!
259	!-- Initialization actions
260	INTERFACE stg_init
261	MODULE PROCEDURE stg_init
262	END INTERFACE stg_init
263
264	!
265	!-- Main procedure of synth. turb. gen.
266	INTERFACE stg_main
267	MODULE PROCEDURE stg_main
268	END INTERFACE stg_main
269
270	!
271	!-- Reading of NAMELIST parameters
272	INTERFACE stg_parin
273	MODULE PROCEDURE stg_parin
274	END INTERFACE stg_parin
275
276	!
277	!-- Reading of parameters for restart runs
278	INTERFACE stg_rrd_global
279	MODULE PROCEDURE stg_rrd_global
280	END INTERFACE stg_rrd_global
281
282	!
283	!-- Writing of binary output for restart runs
284	INTERFACE stg_wrd_global
285	MODULE PROCEDURE stg_wrd_global
286	END INTERFACE stg_wrd_global
287
288	SAVE
289
290	PRIVATE
291
292	!
293	!-- Public interfaces
294	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
295	stg_wrd_global, stg_rrd_global
296
297	!
298	!-- Public variables
299	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
300	use_syn_turb_gen
301
302
303	CONTAINS
304
305
306	!------------------------------------------------------------------------------!
307	! Description:
308	! ------------
309	!> Check parameters routine for synthetic turbulence generator
310	!------------------------------------------------------------------------------!
311	SUBROUTINE stg_check_parameters
312
313
314	USE control_parameters, &
315	ONLY: bc_lr, bc_ns, forcing, nest_domain, rans_mode, turbulent_inflow
316
317	USE pmc_interface, &
318	ONLY : rans_mode_parent
319
320
321	IMPLICIT NONE
322
323	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. forcing ) THEN
324	message_string = 'Synthetic turbulence generator has to be applied ' // &
325	'when forcing is used and model operates in LES mode.'
326	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
327	ENDIF
328
329	IF ( .NOT. use_syn_turb_gen .AND. nest_domain &
330	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
331	message_string = 'Synthetic turbulence generator has to be applied ' // &
332	'when nesting is applied and parent operates in ' // &
333	'RANS-mode but current child in LES mode.'
334	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
335	ENDIF
336
337	IF ( use_syn_turb_gen ) THEN
338
339	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
340
341	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
342	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
343	message_string = 'Using synthetic turbulence generator ' // &
344	'requires %initializing_actions = ' // &
345	'"set_constant_profiles" or "read_restart_data"'
346	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
347	ENDIF
348
349	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
350	message_string = 'Using synthetic turbulence generator ' // &
351	'requires &bc_lr = "dirichlet/radiation"'
352	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
353	ENDIF
354	IF ( bc_ns /= 'cyclic' ) THEN
355	message_string = 'Using synthetic turbulence generator ' // &
356	'requires &bc_ns = "cyclic"'
357	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
358	ENDIF
359
360	ENDIF
361
362	IF ( turbulent_inflow ) THEN
363	message_string = 'Using synthetic turbulence generator ' // &
364	'in combination &with turbulent_inflow = .T. '// &
365	'is not allowed'
366	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
367	ENDIF
368
369	ENDIF
370
371	END SUBROUTINE stg_check_parameters
372
373
374	!------------------------------------------------------------------------------!
375	! Description:
376	! ------------
377	!> Header output for synthetic turbulence generator
378	!------------------------------------------------------------------------------!
379	SUBROUTINE stg_header ( io )
380
381
382	IMPLICIT NONE
383
384	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
385
386	!
387	!-- Write synthetic turbulence generator Header
388	WRITE( io, 1 )
389	IF ( use_syn_turb_gen ) THEN
390	WRITE( io, 2 )
391	ELSE
392	WRITE( io, 3 )
393	ENDIF
394
395	1 FORMAT (//' Synthetic turbulence generator information:'/ &
396	' ------------------------------------------'/)
397	2 FORMAT (' synthetic turbulence generator switched on')
398	3 FORMAT (' synthetic turbulence generator switched off')
399
400	END SUBROUTINE stg_header
401
402
403	!------------------------------------------------------------------------------!
404	! Description:
405	! ------------
406	!> Initialization of the synthetic turbulence generator
407	!------------------------------------------------------------------------------!
408	SUBROUTINE stg_init
409
410
411	USE arrays_3d, &
412	ONLY: ddzw, u_init, v_init, zu
413
414	USE control_parameters, &
415	ONLY: coupling_char, dz, e_init, forcing, nest_domain, rans_mode
416
417	USE grid_variables, &
418	ONLY: ddx, ddy
419
420	USE indices, &
421	ONLY: nz
422
423	USE pmc_interface, &
424	ONLY : rans_mode_parent
425
426
427	IMPLICIT NONE
428
429	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
430
431	#if defined( __parallel )
432	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
433	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
434	#endif
435
436	INTEGER(iwp) :: i !> grid index in x-direction
437	INTEGER(iwp) :: j !> loop index
438	INTEGER(iwp) :: k !< index
439	INTEGER(iwp) :: newtype !< dummy MPI type
440	INTEGER(iwp) :: realsize !< size of REAL variables
441	INTEGER(iwp) :: nseed !< dimension of random number seed
442	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
443
444	!
445	!-- Dummy variables used for reading profiles
446	REAL(wp) :: d1 !< u profile
447	REAL(wp) :: d2 !< v profile
448	REAL(wp) :: d3 !< w profile
449	REAL(wp) :: d5 !< e profile
450	REAL(wp) :: d11 !< vertical interpolation for a11
451	REAL(wp) :: d21 !< vertical interpolation for a21
452	REAL(wp) :: d22 !< vertical interpolation for a22
453	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
454	REAL(wp) :: luy !< length scale for u in y direction
455	REAL(wp) :: luz !< length scale for u in z direction
456	REAL(wp) :: lvy !< length scale for v in y direction
457	REAL(wp) :: lvz !< length scale for v in z direction
458	REAL(wp) :: lwy !< length scale for w in y direction
459	REAL(wp) :: lwz !< length scale for w in z direction
460	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
461	REAL(wp) :: zz !< height
462
463	REAL(wp) :: length_scale_surface !< typical length scale
464	REAL(wp) :: r_ii_0 !< correction factor
465	REAL(wp) :: time_scale !< typical time scale
466	REAL(wp) :: length_scale_z !< typical length scale
467
468	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
469	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
470	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
471	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
472	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
473	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
474
475
476	#if defined( __parallel )
477	CALL MPI_BARRIER( comm2d, ierr )
478	#endif
479
480	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
481
482	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
483	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
484
485	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
486	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
487	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
488	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
489	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
490	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
491
492	#if defined( __parallel )
493	!
494	!-- Determine processor decomposition of z-axis along x- and y-direction
495	nnz = nz / pdims(1)
496	nzb_x_stg = 1 + myidx * INT( nnz )
497	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
498
499	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
500	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
501	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
502
503	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
504	.NOT. rans_mode ) ) THEN
505	nnz = nz / pdims(2)
506	nzb_y_stg = 1 + myidy * INT( nnz )
507	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
508
509	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
510	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
511	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
512	ENDIF
513
514	!
515	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
516	!-- velocity seeds
517	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
518	extent = 1 * realsize
519	!
520	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
521	!-- layer
522	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
523	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
524	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
525	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
526	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
527	CALL MPI_TYPE_FREE( newtype, ierr )
528
529	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
530	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
531	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
532	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
533	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
534	CALL MPI_TYPE_FREE( newtype, ierr )
535
536	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
537	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
538
539	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
540	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
541
542	DO j = 1, pdims(1)
543	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
544	ENDDO
545	!
546	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
547	!-- layer
548	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
549	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
550	.NOT. rans_mode ) ) THEN
551	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
552	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
553	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
554	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
555	CALL MPI_TYPE_FREE( newtype, ierr )
556
557	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
558	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
559	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
560	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
561	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
562	CALL MPI_TYPE_FREE( newtype, ierr )
563
564	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
565	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
566
567	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
568	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
569
570	DO j = 1, pdims(2)
571	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
572	ENDDO
573
574	ENDIF
575
576	#endif
577	!
578	!-- Define seed of random number
579	CALL RANDOM_SEED()
580	CALL RANDOM_SEED( size=nseed )
581	ALLOCATE( seed(1:nseed) )
582	DO j = 1, nseed
583	seed(j) = startseed + j
584	ENDDO
585	CALL RANDOM_SEED(put=seed)
586
587	!-- Read inflow profile
588	!-- Height levels of profiles in input profile is as follows:
589	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
590	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
591	!-- WARNING: zz is not used at the moment
592	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
593	EXIST = file_stg_exist )
594
595	IF ( file_stg_exist ) THEN
596
597	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
598	FORM='FORMATTED')
599	!
600	!-- Skip header
601	READ( 90, * )
602
603	DO k = nzb, nzt+1
604	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
605	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
606	d1, d2, d3, d5
607
608	!
609	!-- Convert length scales from meter to number of grid points
610	nuy(k) = INT( luy * ddy )
611	nuz(k) = INT( luz / dz )
612	nvy(k) = INT( lvy * ddy )
613	nvz(k) = INT( lvz / dz )
614	nwy(k) = INT( lwy * ddy )
615	nwz(k) = INT( lwz / dz )
616	!
617	!-- Workaround, assume isotropic turbulence
618	nwx(k) = nwy(k)
619	nvx(k) = nvy(k)
620	nux(k) = nuy(k)
621	!
622	!-- Save Mean inflow profiles
623	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
624	mean_inflow_profiles(k,1) = d1
625	mean_inflow_profiles(k,2) = d2
626	! mean_inflow_profiles(k,4) = d4
627	mean_inflow_profiles(k,5) = d5
628	ENDIF
629	ENDDO
630
631	CLOSE( 90 )
632
633	ELSE
634	!
635	!-- Set-up defaul length scales. Assume exponentially decreasing length
636	!-- scales and isotropic turbulence.
637	!-- Typical length (time) scales of 100 m (s) should be a good compromise
638	!-- between all stratrifications. Near-surface variances are fixed to
639	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
640	!-- Vertical fluxes
641	length_scale_surface = 100.0_wp
642	r_ii_0 = 0.1_wp
643	time_scale = 100.0_wp
644	DO k = nzb+1, nzt+1
645	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
646	0.0_wp, &
647	zu(k) > 0.3 * zu(nzt) &
648	)
649	length_scale_z = length_scale_surface * EXP( dum_exp )
650
651	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
652	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
653	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
654	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
655	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
656	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
657	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
658	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
659	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
660
661	r11(k) = r_ii_0 * EXP( dum_exp )
662	r22(k) = r_ii_0 * EXP( dum_exp )
663	r33(k) = r_ii_0 * EXP( dum_exp )
664
665	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
666	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
667	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
668
669	tu(k) = time_scale
670	tv(k) = time_scale
671	tw(k) = time_scale
672
673	ENDDO
674	nux(nzb) = nux(nzb+1)
675	nuy(nzb) = nuy(nzb+1)
676	nuz(nzb) = nuz(nzb+1)
677	nvx(nzb) = nvx(nzb+1)
678	nvy(nzb) = nvy(nzb+1)
679	nvz(nzb) = nvz(nzb+1)
680	nwx(nzb) = nwx(nzb+1)
681	nwy(nzb) = nwy(nzb+1)
682	nwz(nzb) = nwz(nzb+1)
683
684	r11(nzb) = r11(nzb+1)
685	r22(nzb) = r22(nzb+1)
686	r33(nzb) = r33(nzb+1)
687
688	r21(nzb) = r11(nzb+1)
689	r31(nzb) = r31(nzb+1)
690	r32(nzb) = r32(nzb+1)
691
692	tu(nzb) = time_scale
693	tv(nzb) = time_scale
694	tw(nzb) = time_scale
695
696	ENDIF
697
698	!
699	!-- Assign initial profiles
700	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
701	u_init = mean_inflow_profiles(:,1)
702	v_init = mean_inflow_profiles(:,2)
703	!pt_init = mean_inflow_profiles(:,4)
704	e_init = MAXVAL( mean_inflow_profiles(:,5) )
705	ENDIF
706	!
707	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
708	DO k = nzb, nzt+1
709	IF ( r11(k) > 0.0_wp ) THEN
710	a11(k) = SQRT( r11(k) )
711	a21(k) = r21(k) / a11(k)
712	ELSE
713	a11(k) = 0.0_wp
714	a21(k) = 0.0_wp
715	ENDIF
716
717	a22(k) = r22(k) - a21(k)**2
718	IF ( a22(k) > 0.0_wp ) THEN
719	a22(k) = SQRT( a22(k) )
720	a32(k) = ( r32(k) - a21(k) * a31(k) ) / a22(k)
721	ELSE
722	a22(k) = 0.0_wp
723	a32(k) = 0.0_wp
724	ENDIF
725
726	!
727	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
728	!-- d21, d22) because of different vertical grid
729	IF ( k .le. nzt ) THEN
730	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
731	IF ( d11 > 0.0_wp ) THEN
732	d11 = SQRT( d11 )
733	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
734	a31(k) = r31(k) / d11
735	ELSE
736	d21 = 0.0_wp
737	a31(k) = 0.0_wp
738	ENDIF
739
740	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
741	IF ( d22 > 0.0_wp ) THEN
742	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
743	ELSE
744	a32(k) = 0.0_wp
745	ENDIF
746
747	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
748	IF ( a33(k) > 0.0_wp ) THEN
749	a33(k) = SQRT( a33(k) )
750	ELSE
751	a33(k) = 0.0_wp
752	ENDIF
753	ELSE
754	a31(k) = a31(k-1)
755	a32(k) = a32(k-1)
756	a33(k) = a33(k-1)
757	ENDIF
758
759	ENDDO
760	!
761	!-- Define the size of the filter functions and allocate them.
762	merg = 0
763
764	! arrays must be large enough to cover the largest length scale
765	DO k = nzb, nzt+1
766	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
767	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
768	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
769	IF ( j > merg ) merg = j
770	ENDDO
771
772	merg = 2 * merg
773	mergp = merg + nbgp
774
775	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
776	buy(-merg:merg,nzb:nzt+1), &
777	buz(-merg:merg,nzb:nzt+1), &
778	bvx(-merg:merg,nzb:nzt+1), &
779	bvy(-merg:merg,nzb:nzt+1), &
780	bvz(-merg:merg,nzb:nzt+1), &
781	bwx(-merg:merg,nzb:nzt+1), &
782	bwy(-merg:merg,nzb:nzt+1), &
783	bwz(-merg:merg,nzb:nzt+1) )
784
785	!
786	!-- Allocate velocity seeds for turbulence at xz-layer
787	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
788	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
789	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
790
791	!
792	!-- Allocate velocity seeds for turbulence at yz-layer
793	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
794	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
795	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
796
797	fu_xz = 0.0_wp
798	fuo_xz = 0.0_wp
799	fv_xz = 0.0_wp
800	fvo_xz = 0.0_wp
801	fw_xz = 0.0_wp
802	fwo_xz = 0.0_wp
803
804	fu_yz = 0.0_wp
805	fuo_yz = 0.0_wp
806	fv_yz = 0.0_wp
807	fvo_yz = 0.0_wp
808	fw_yz = 0.0_wp
809	fwo_yz = 0.0_wp
810
811	!
812	!-- Create filter functions
813	CALL stg_filter_func( nux, bux ) !filter ux
814	CALL stg_filter_func( nuy, buy ) !filter uy
815	CALL stg_filter_func( nuz, buz ) !filter uz
816	CALL stg_filter_func( nvx, bvx ) !filter vx
817	CALL stg_filter_func( nvy, bvy ) !filter vy
818	CALL stg_filter_func( nvz, bvz ) !filter vz
819	CALL stg_filter_func( nwx, bwx ) !filter wx
820	CALL stg_filter_func( nwy, bwy ) !filter wy
821	CALL stg_filter_func( nwz, bwz ) !filter wz
822
823	#if defined( __parallel )
824	CALL MPI_BARRIER( comm2d, ierr )
825	#endif
826
827	!
828	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
829	! time step.
830	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
831	! are 0 compared to the prerun. This is mostly for k=nzt+1.
832	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
833	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
834
835	IF ( myidx == id_stg_left ) i = -1
836	IF ( myidx == id_stg_right ) i = nxr+1
837
838	DO j = nysg, nyng
839	DO k = nzb, nzt+1
840
841	IF ( a11(k) .NE. 0._wp ) THEN
842	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
843	ELSE
844	fu_yz(k,j) = 0._wp
845	ENDIF
846
847	IF ( a22(k) .NE. 0._wp ) THEN
848	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
849	v_init(k) ) / a22(k)
850	ELSE
851	fv_yz(k,j) = 0._wp
852	ENDIF
853
854	IF ( a33(k) .NE. 0._wp ) THEN
855	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
856	a32(k) * fv_yz(k,j) ) / a33(k)
857	ELSE
858	fw_yz = 0._wp
859	ENDIF
860
861	ENDDO
862	ENDDO
863	ENDIF
864	ENDIF
865
866	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
867
868	END SUBROUTINE stg_init
869
870
871	!------------------------------------------------------------------------------!
872	! Description:
873	! ------------
874	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
875	!> (Xie and Castro, 2008)
876	!------------------------------------------------------------------------------!
877	SUBROUTINE stg_filter_func( nxx, bxx )
878
879
880	IMPLICIT NONE
881
882	INTEGER(iwp) :: k !< loop index
883	INTEGER(iwp) :: n_k !< length scale nXX in height k
884	INTEGER(iwp) :: n_k2 !< n_k * 2
885	INTEGER(iwp) :: nf !< index for length scales
886
887	REAL(wp) :: bdenom !< denominator for filter functions bXX
888	REAL(wp) :: qsi = 1.0_wp !< minimization factor
889
890	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
891
892	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
893
894
895	bxx = 0.0_wp
896
897	DO k = nzb, nzt+1
898	bdenom = 0.0_wp
899	n_k = nxx(k)
900	IF ( n_k /= 0 ) THEN
901	n_k2 = n_k * 2
902
903	!
904	!-- ( Eq.10 )^2
905	DO nf = -n_k2, n_k2
906	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
907	ENDDO
908
909	!
910	!-- ( Eq.9 )
911	bdenom = SQRT( bdenom )
912	DO nf = -n_k2, n_k2
913	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
914	ENDDO
915	ENDIF
916	ENDDO
917
918	END SUBROUTINE stg_filter_func
919
920
921	!------------------------------------------------------------------------------!
922	! Description:
923	! ------------
924	!> Parin for &stg_par for synthetic turbulence generator
925	!------------------------------------------------------------------------------!
926	SUBROUTINE stg_parin
927
928
929	IMPLICIT NONE
930
931	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
932
933
934	NAMELIST /stg_par/ use_syn_turb_gen
935
936	line = ' '
937
938	!
939	!-- Try to find stg package
940	REWIND ( 11 )
941	line = ' '
942	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
943	READ ( 11, '(A)', END=10 ) line
944	ENDDO
945	BACKSPACE ( 11 )
946
947	!
948	!-- Read namelist
949	READ ( 11, stg_par )
950
951	!
952	!-- Set flag that indicates that the synthetic turbulence generator is switched
953	!-- on
954	syn_turb_gen = .TRUE.
955
956
957	10 CONTINUE
958
959	END SUBROUTINE stg_parin
960
961
962	!------------------------------------------------------------------------------!
963	! Description:
964	! ------------
965	!> This routine reads the respective restart data.
966	!------------------------------------------------------------------------------!
967	SUBROUTINE stg_rrd_global( found )
968
969
970	USE control_parameters, &
971	ONLY: length, restart_string
972
973
974	IMPLICIT NONE
975
976	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
977
978
979	found = .TRUE.
980
981
982	SELECT CASE ( restart_string(1:length) )
983
984	CASE ( 'mc_factor' )
985	READ ( 13 ) mc_factor
986	CASE ( 'use_syn_turb_gen' )
987	READ ( 13 ) use_syn_turb_gen
988
989	CASE DEFAULT
990
991	found = .FALSE.
992
993	END SELECT
994
995
996	END SUBROUTINE stg_rrd_global
997
998
999	!------------------------------------------------------------------------------!
1000	! Description:
1001	! ------------
1002	!> This routine writes the respective restart data.
1003	!------------------------------------------------------------------------------!
1004	SUBROUTINE stg_wrd_global
1005
1006
1007	IMPLICIT NONE
1008
1009	CALL wrd_write_string( 'mc_factor' )
1010	WRITE ( 14 ) mc_factor
1011
1012	CALL wrd_write_string( 'use_syn_turb_gen' )
1013	WRITE ( 14 ) use_syn_turb_gen
1014
1015
1016	END SUBROUTINE stg_wrd_global
1017
1018
1019	!------------------------------------------------------------------------------!
1020	! Description:
1021	! ------------
1022	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
1023	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
1024	!> following suggestions of Kim et al. (2013), and using a Lund rotation
1025	!> (Lund, 1998).
1026	!------------------------------------------------------------------------------!
1027	SUBROUTINE stg_main
1028
1029
1030	USE arrays_3d, &
1031	ONLY: dzw
1032
1033	USE control_parameters, &
1034	ONLY: dt_3d, forcing, intermediate_timestep_count, nest_domain, &
1035	rans_mode, simulated_time, volume_flow_initial
1036
1037	USE grid_variables, &
1038	ONLY: dx, dy
1039
1040	USE indices, &
1041	ONLY: wall_flags_0
1042
1043	USE statistics, &
1044	ONLY: weight_substep
1045
1046	USE pmc_interface, &
1047	ONLY : rans_mode_parent
1048
1049
1050	IMPLICIT NONE
1051
1052	INTEGER(iwp) :: i !< grid index in x-direction
1053	INTEGER(iwp) :: j !< loop index in y-direction
1054	INTEGER(iwp) :: k !< loop index in z-direction
1055
1056	REAL(wp) :: dt_stg !< wheighted subtimestep
1057	REAL(wp) :: mc_factor_l !< local mass flux correction factor
1058	REAL(wp) :: volume_flow !< mass flux through lateral boundary
1059	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
1060
1061	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
1062	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
1063
1064
1065	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
1066
1067	!
1068	!-- Calculate time step which is needed for filter functions
1069	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
1070
1071	!
1072	!-- Initial value of fu, fv, fw
1073	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
1074	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
1075	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
1076	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
1077
1078	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
1079	.NOT. rans_mode ) ) THEN
1080	!
1081	!-- Generate turbulence at right boundary
1082	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
1083	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
1084	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
1085	!
1086	!-- Generate turbulence at north boundary
1087	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
1088	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
1089	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
1090	!
1091	!-- Generate turbulence at south boundary
1092	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
1093	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
1094	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
1095	ENDIF
1096	velocity_seed_initialized = .TRUE.
1097	ENDIF
1098	!
1099	!-- New set of fu, fv, fw
1100	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
1101	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
1102	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
1103
1104	IF ( forcing .OR. ( nest_domain .AND. rans_mode_parent .AND. &
1105	.NOT. rans_mode ) ) THEN
1106	!
1107	!-- Generate turbulence at right boundary
1108	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
1109	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
1110	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
1111	!
1112	!-- Generate turbulence at north boundary
1113	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
1114	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
1115	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
1116	!
1117	!-- Generate turbulence at south boundary
1118	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
1119	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
1120	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
1121	ENDIF
1122	!
1123	!-- Turbulence generation at left and or right boundary
1124	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
1125
1126	DO j = nysg, nyng
1127	DO k = nzb, nzt + 1
1128	!
1129	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1130	IF ( tu(k) == 0.0_wp ) THEN
1131	fu_yz(k,j) = fuo_yz(k,j)
1132	ELSE
1133	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1134	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1135	ENDIF
1136
1137	IF ( tv(k) == 0.0_wp ) THEN
1138	fv_yz(k,j) = fvo_yz(k,j)
1139	ELSE
1140	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1141	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1142	ENDIF
1143
1144	IF ( tw(k) == 0.0_wp ) THEN
1145	fw_yz(k,j) = fwo_yz(k,j)
1146	ELSE
1147	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1148	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1149	ENDIF
1150	!
1151	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1152	!-- Additional factors are added to improve the variance of v and w
1153	IF( k == 0 ) THEN
1154	dist_yz(k,j,1) = 0.0_wp
1155	dist_yz(k,j,2) = 0.0_wp
1156	dist_yz(k,j,3) = 0.0_wp
1157	! dist_yz(k,j,4) = 0.0_wp
1158	! dist_yz(k,j,5) = 0.0_wp
1159	ELSE
1160	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
1161	!experimental test of 1.2
1162	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1163	* 1.2_wp ) &
1164	* ( a21(k) * fu_yz(k,j) &
1165	+ a22(k) * fv_yz(k,j) )
1166	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1167	* 1.3_wp ) &
1168	* ( a31(k) * fu_yz(k,j) &
1169	+ a32(k) * fv_yz(k,j) &
1170	+ a33(k) * fw_yz(k,j) )
1171	! Calculation for pt and e not yet implemented
1172	! dist_yz(k,j,4) = 0.0_wp
1173	! dist_yz(k,j,5) = 0.0_wp
1174	ENDIF
1175
1176	ENDDO
1177	ENDDO
1178
1179	!
1180	!-- Mass flux correction following Kim et al. (2013)
1181	!-- This correction factor insures that the mass flux is preserved at the
1182	!-- inflow boundary
1183	IF ( .NOT. forcing .AND. .NOT. nest_domain ) THEN
1184	mc_factor_l = 0.0_wp
1185	mc_factor = 0.0_wp
1186	DO j = nys, nyn
1187	DO k = nzb+1, nzt
1188	mc_factor_l = mc_factor_l + dzw(k) * &
1189	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
1190	ENDDO
1191	ENDDO
1192
1193	#if defined( __parallel )
1194	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1195	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1196	#else
1197	mc_factor = mc_factor_l
1198	#endif
1199
1200	mc_factor = volume_flow_initial(1) / mc_factor
1201
1202	!
1203	!-- Add disturbance at the inflow
1204	DO j = nysg, nyng
1205	DO k = nzb, nzt+1
1206	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
1207	dist_yz(k,j,1) ) * mc_factor
1208	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
1209	dist_yz(k,j,2) ) * mc_factor
1210	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
1211	ENDDO
1212	ENDDO
1213
1214	ELSE
1215	!
1216	!-- First, calculate volume flow at yz boundary
1217	IF ( myidx == id_stg_left ) i = nxl
1218	IF ( myidx == id_stg_right ) i = nxr+1
1219
1220	volume_flow_l = 0.0_wp
1221	volume_flow = 0.0_wp
1222	mc_factor_l = 0.0_wp
1223	mc_factor = 0.0_wp
1224	DO j = nys, nyn
1225	DO k = nzb+1, nzt
1226	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
1227	* MERGE( 1.0_wp, 0.0_wp, &
1228	BTEST( wall_flags_0(k,j,i), 1 ) )
1229
1230	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
1231	* dzw(k) * dy &
1232	* MERGE( 1.0_wp, 0.0_wp, &
1233	BTEST( wall_flags_0(k,j,i), 1 ) )
1234	ENDDO
1235	ENDDO
1236	#if defined( __parallel )
1237	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1238	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1239	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1240	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1241	#else
1242	volume_flow = volume_flow_l
1243	mc_factor = mc_factor_l
1244	#endif
1245
1246	mc_factor = volume_flow / mc_factor
1247
1248	!
1249	!-- Add disturbances
1250	IF ( myidx == id_stg_left ) THEN
1251
1252	DO j = nysg, nyng
1253	DO k = nzb, nzt+1
1254	u(k,j,-nbgp+1:0) = ( u(k,j,-nbgp+1:0) + dist_yz(k,j,1) ) &
1255	* mc_factor
1256	v(k,j,-nbgp:-1) = ( v(k,j,-nbgp:-1) + dist_yz(k,j,2) ) &
1257	* mc_factor
1258	w(k,j,-nbgp:-1) = ( w(k,j,-nbgp:-1) + dist_yz(k,j,3) ) &
1259	* mc_factor
1260	ENDDO
1261	ENDDO
1262	ENDIF
1263	IF ( myidx == id_stg_right ) THEN
1264
1265	DO j = nysg, nyng
1266	DO k = nzb, nzt+1
1267	u(k,j,nxr+1:nxr+nbgp) = ( u(k,j,nxr+1:nxr+nbgp) + &
1268	dist_yz(k,j,1) ) * mc_factor
1269	v(k,j,nxr+1:nxr+nbgp) = ( v(k,j,nxr+1:nxr+nbgp) + &
1270	dist_yz(k,j,2) ) * mc_factor
1271	w(k,j,nxr+1:nxr+nbgp) = ( w(k,j,nxr+1:nxr+nbgp) + &
1272	dist_yz(k,j,3) ) * mc_factor
1273	ENDDO
1274	ENDDO
1275	ENDIF
1276	ENDIF
1277
1278	ENDIF
1279	!
1280	!-- Turbulence generation at north and south boundary
1281	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
1282
1283	DO i = nxlg, nxrg
1284	DO k = nzb, nzt + 1
1285	!
1286	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1287	IF ( tu(k) == 0.0_wp ) THEN
1288	fu_xz(k,i) = fuo_xz(k,i)
1289	ELSE
1290	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1291	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1292	ENDIF
1293
1294	IF ( tv(k) == 0.0_wp ) THEN
1295	fv_xz(k,i) = fvo_xz(k,i)
1296	ELSE
1297	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1298	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1299	ENDIF
1300
1301	IF ( tw(k) == 0.0_wp ) THEN
1302	fw_xz(k,i) = fwo_xz(k,i)
1303	ELSE
1304	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1305	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1306	ENDIF
1307	!
1308	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1309	!-- Additional factors are added to improve the variance of v and w
1310	IF( k == 0 ) THEN
1311	dist_xz(k,i,1) = 0.0_wp
1312	dist_xz(k,i,2) = 0.0_wp
1313	dist_xz(k,i,3) = 0.0_wp
1314
1315	ELSE
1316	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
1317	!experimental test of 1.2
1318	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1319	* 1.2_wp ) &
1320	* ( a21(k) * fu_xz(k,i) &
1321	+ a22(k) * fv_xz(k,i) )
1322	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1323	* 1.3_wp ) &
1324	* ( a31(k) * fu_xz(k,i) &
1325	+ a32(k) * fv_xz(k,i) &
1326	+ a33(k) * fw_xz(k,i) )
1327	ENDIF
1328
1329	ENDDO
1330	ENDDO
1331	!
1332	!-- Mass flux correction following Kim et al. (2013)
1333	!-- This correction factor insures that the mass flux is preserved at the
1334	!-- inflow boundary.
1335	!-- First, calculate volume flow at xz boundary
1336	IF ( myidy == id_stg_south ) j = nys
1337	IF ( myidy == id_stg_north ) j = nyn+1
1338
1339	volume_flow_l = 0.0_wp
1340	volume_flow = 0.0_wp
1341	mc_factor_l = 0.0_wp
1342	mc_factor = 0.0_wp
1343	DO i = nxl, nxr
1344	DO k = nzb+1, nzt
1345	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
1346	* MERGE( 1.0_wp, 0.0_wp, &
1347	BTEST( wall_flags_0(k,j,i), 2 ) )
1348
1349	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
1350	* dzw(k) * dx &
1351	* MERGE( 1.0_wp, 0.0_wp, &
1352	BTEST( wall_flags_0(k,j,i), 2 ) )
1353	ENDDO
1354	ENDDO
1355	#if defined( __parallel )
1356	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1357	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1358	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1359	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1360	#else
1361	volume_flow = volume_flow_l
1362	mc_factor = mc_factor_l
1363	#endif
1364
1365	mc_factor = volume_flow / mc_factor
1366
1367	!
1368	!-- Add disturbances
1369	IF ( myidy == id_stg_south ) THEN
1370
1371	DO i = nxlg, nxrg
1372	DO k = nzb, nzt+1
1373	u(k,-nbgp:-1,i) = ( u(k,-nbgp:-1,i) + dist_xz(k,i,1) ) &
1374	* mc_factor
1375	v(k,-nbgp:0,i) = ( v(k,-nbgp:0,i) + dist_xz(k,i,2) ) &
1376	* mc_factor
1377	w(k,-nbgp:-1,i) = ( w(k,-nbgp:-1,i) + dist_xz(k,i,3) ) &
1378	* mc_factor
1379	ENDDO
1380	ENDDO
1381	ENDIF
1382	IF ( myidy == id_stg_north ) THEN
1383
1384	DO i = nxlg, nxrg
1385	DO k = nzb, nzt+1
1386	u(k,nyn+1:nyn+nbgp,i) = ( u(k,nyn+1:nyn+nbgp,i) + &
1387	dist_xz(k,i,1) ) * mc_factor
1388	v(k,nyn+1:nyn+nbgp,i) = ( v(k,nyn+1:nyn+nbgp,i) + &
1389	dist_xz(k,i,2) ) * mc_factor
1390	w(k,nyn+1:nyn+nbgp,i) = ( w(k,nyn+1:nyn+nbgp,i) + &
1391	dist_xz(k,i,3) ) * mc_factor
1392	ENDDO
1393	ENDDO
1394	ENDIF
1395	ENDIF
1396
1397	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
1398
1399	END SUBROUTINE stg_main
1400
1401	!------------------------------------------------------------------------------!
1402	! Description:
1403	! ------------
1404	!> Generate a set of random number rand_it wich is equal on each PE
1405	!> and calculate the velocity seed f_n.
1406	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
1407	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1408	!> parts are collected to form the full array.
1409	!------------------------------------------------------------------------------!
1410	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
1411
1412
1413	USE indices, &
1414	ONLY: ny
1415
1416	IMPLICIT NONE
1417
1418	INTEGER(iwp) :: id !< core ids at respective boundaries
1419	INTEGER(iwp) :: j !< loop index in y-direction
1420	INTEGER(iwp) :: jj !< loop index in y-direction
1421	INTEGER(iwp) :: k !< loop index in z-direction
1422	INTEGER(iwp) :: kk !< loop index in z-direction
1423	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1424
1425	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
1426	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1427	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
1428	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1429
1430	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
1431	REAL(wp) :: rand_av !< average of random number
1432	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1433
1434	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
1435	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1436	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
1437	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
1438	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1439
1440
1441	!
1442	!-- Generate random numbers using a seed generated in stg_init.
1443	!-- The set of random numbers are modified to have an average of 0 and
1444	!-- unit variance.
1445	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
1446
1447	rand_av = 0.0_wp
1448	rand_sigma_inv = 0.0_wp
1449	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
1450
1451	DO j = 0, ny
1452	DO k = nzb, nzt+1
1453	CALL RANDOM_NUMBER( rand_it(k,j) )
1454	rand_av = rand_av + rand_it(k,j)
1455	ENDDO
1456	ENDDO
1457
1458	rand_av = rand_av * nyz_inv
1459
1460	DO j = 0, ny
1461	DO k = nzb, nzt+1
1462	rand_it(k,j) = rand_it(k,j) - rand_av
1463	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
1464	ENDDO
1465	ENDDO
1466
1467	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
1468
1469	DO j = 0, ny
1470	DO k = nzb, nzt+1
1471	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
1472	ENDDO
1473	ENDDO
1474
1475	!
1476	!-- Periodic fill of random number in space
1477	DO j = 0, ny
1478	DO k = 1, mergp
1479	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
1480	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
1481	ENDDO
1482	ENDDO
1483	DO j = 1, mergp
1484	DO k = nzb-mergp, nzt+1+mergp
1485	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
1486	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
1487	ENDDO
1488	ENDDO
1489
1490	!
1491	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1492	n_y2 = n_y * 2
1493	n_z2 = n_z * 2
1494	f_n_l = 0.0_wp
1495
1496	DO j = nysg, nyng
1497	DO k = nzb_x_stg, nzt_x_stg+1
1498	DO jj = -n_y2(k), n_y2(k)
1499	DO kk = -n_z2(k), n_z2(k)
1500	f_n_l(k,j) = f_n_l(k,j) &
1501	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
1502	ENDDO
1503	ENDDO
1504	ENDDO
1505	ENDDO
1506
1507	DEALLOCATE( rand_it )
1508	!
1509	!-- Gather velocity seeds of full subdomain
1510	send_count = nzt_x_stg - nzb_x_stg + 1
1511	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
1512
1513	#if defined( __parallel )
1514	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
1515	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
1516	id, comm1dx, ierr )
1517	#else
1518	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
1519	#endif
1520
1521
1522	END SUBROUTINE stg_generate_seed_yz
1523
1524
1525
1526
1527	!------------------------------------------------------------------------------!
1528	! Description:
1529	! ------------
1530	!> Generate a set of random number rand_it wich is equal on each PE
1531	!> and calculate the velocity seed f_n.
1532	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
1533	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1534	!> parts are collected to form the full array.
1535	!------------------------------------------------------------------------------!
1536	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
1537
1538
1539	USE indices, &
1540	ONLY: nx
1541
1542
1543	IMPLICIT NONE
1544
1545	INTEGER(iwp) :: id !< core ids at respective boundaries
1546	INTEGER(iwp) :: i !< loop index in x-direction
1547	INTEGER(iwp) :: ii !< loop index in x-direction
1548	INTEGER(iwp) :: k !< loop index in z-direction
1549	INTEGER(iwp) :: kk !< loop index in z-direction
1550	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1551
1552	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
1553	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1554	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
1555	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1556
1557	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
1558	REAL(wp) :: rand_av !< average of random number
1559	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1560
1561	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
1562	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1563	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
1564	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
1565	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1566
1567
1568	!
1569	!-- Generate random numbers using a seed generated in stg_init.
1570	!-- The set of random numbers are modified to have an average of 0 and
1571	!-- unit variance.
1572	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
1573
1574	rand_av = 0.0_wp
1575	rand_sigma_inv = 0.0_wp
1576	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
1577
1578	DO i = 0, nx
1579	DO k = nzb, nzt+1
1580	CALL RANDOM_NUMBER( rand_it(k,i) )
1581	rand_av = rand_av + rand_it(k,i)
1582	ENDDO
1583	ENDDO
1584
1585	rand_av = rand_av * nxz_inv
1586
1587	DO i = 0, nx
1588	DO k = nzb, nzt+1
1589	rand_it(k,i) = rand_it(k,i) - rand_av
1590	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
1591	ENDDO
1592	ENDDO
1593
1594	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
1595
1596	DO i = 0, nx
1597	DO k = nzb, nzt+1
1598	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
1599	ENDDO
1600	ENDDO
1601
1602	!
1603	!-- Periodic fill of random number in space
1604	DO i = 0, nx
1605	DO k = 1, mergp
1606	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
1607	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
1608	ENDDO
1609	ENDDO
1610	DO i = 1, mergp
1611	DO k = nzb-mergp, nzt+1+mergp
1612	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
1613	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
1614	ENDDO
1615	ENDDO
1616
1617	!
1618	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1619	n_x2 = n_x * 2
1620	n_z2 = n_z * 2
1621	f_n_l = 0.0_wp
1622
1623	DO i = nxlg, nxrg
1624	DO k = nzb_y_stg, nzt_y_stg+1
1625	DO ii = -n_x2(k), n_x2(k)
1626	DO kk = -n_z2(k), n_z2(k)
1627	f_n_l(k,i) = f_n_l(k,i) &
1628	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
1629	ENDDO
1630	ENDDO
1631	ENDDO
1632	ENDDO
1633
1634	DEALLOCATE( rand_it )
1635
1636	!
1637	!-- Gather velocity seeds of full subdomain
1638	send_count = nzt_y_stg - nzb_y_stg + 1
1639	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
1640
1641
1642	#if defined( __parallel )
1643	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
1644	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
1645	id, comm1dy, ierr )
1646	#else
1647	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
1648	#endif
1649
1650
1651	END SUBROUTINE stg_generate_seed_xz
1652
1653	END MODULE synthetic_turbulence_generator_mod

Note: See TracBrowser for help on using the repository browser.

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |