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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 3182

Last change on this file since 3182 was 3182, checked in by suehring, 6 years ago
New Inifor features: grid stretching, improved command-interface, support start dates in different formats in both YYYYMMDD and YYYYMMDDHH, Ability to manually control input file prefixes (--radiation-prefix, --soil-preifx, --flow-prefix, --soilmoisture-prefix) for compatiblity with DWD forcast naming scheme; GNU-style short and long option; Prepared output of large-scale forcing profiles (no computation yet); Added preprocessor flag netcdf4 to switch output format between netCDF 3 and 4; Updated netCDF variable names and attributes to comply with PIDS v1.9; Inifor bugfixes: Improved compatibility with older Intel Intel compilers by avoiding implicit array allocation; Added origin_lon/_lat values and correct reference time in dynamic driver global attributes; corresponding PALM changes: adjustments to revised Inifor; variables names in dynamic driver adjusted; enable geostrophic forcing also in offline nested mode; variable names in LES-LES and COSMO offline nesting changed; lateral boundary flags for nesting, in- and outflow conditions renamed
Property svn:keywords set to `Id`
File size: 62.9 KB

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1	!> @synthetic_turbulence_generator_mod.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	! Rename variables and extend error message
23	! Enable geneartor also for stretched grids
24	!
25	! Former revisions:
26	! -----------------
27	! $Id: synthetic_turbulence_generator_mod.f90 3182 2018-07-27 13:36:03Z suehring $
28	! Error message related to vertical stretching has been added, dz was replaced
29	! by dz(1)
30	!
31	! 3051 2018-05-30 17:43:55Z suehring
32	! Bugfix in calculation of initial Reynolds-stress tensor.
33	!
34	! 3045 2018-05-28 07:55:41Z Giersch
35	! Error messages revised
36	!
37	! 3044 2018-05-25 10:59:41Z gronemeier
38	! Add missing variable descriptions
39	!
40	! 3038 2018-05-24 10:54:00Z gronemeier
41	! updated variable descriptions
42	!
43	! 2967 2018-04-13 11:22:08Z raasch
44	! bugfix: missing parallel cpp-directives added
45	!
46	! 2946 2018-04-04 17:01:23Z suehring
47	! Remove unused module load
48	!
49	! 2945 2018-04-04 16:27:14Z suehring
50	! - Bugfix in parallelization of synthetic turbulence generator in case the
51	! z-dimension is not an integral divisor of the number of processors along
52	! the x- and y-dimension
53	! - Revision in control mimic in case of RAN-LES nesting
54	!
55	! 2938 2018-03-27 15:52:42Z suehring
56	! Apply turbulence generator at all non-cyclic lateral boundaries in case of
57	! realistic Inifor large-scale forcing or RANS-LES nesting
58	!
59	! 2936 2018-03-27 14:49:27Z suehring
60	! variable named found has been introduced for checking if restart data was found,
61	! reading of restart strings has been moved completely to read_restart_data_mod,
62	! redundant skipping function has been removed, stg_read/write_restart_data
63	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
64	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
65	! *** have been removed (Giersch), strings and their respective lengths are
66	! written out and read now in case of restart runs to get rid of prescribed
67	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
68	!
69	! 2841 2018-02-27 15:02:57Z suehring
70	! Bugfix: wrong placement of include 'mpif.h' corrected
71	!
72	! 2836 2018-02-26 13:40:05Z Giersch
73	! The variables synthetic_turbulence_generator and
74	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
75	! flag is used to define if module related parameters were outputted as restart
76	! data
77	!
78	! 2716 2017-12-29 16:35:59Z kanani
79	! Corrected "Former revisions" section
80	!
81	! 2696 2017-12-14 17:12:51Z kanani
82	! Change in file header (GPL part)
83	!
84	! 2669 2017-12-06 16:03:27Z raasch
85	! unit number for file containing turbulence generator data changed to 90
86	! bugfix: preprocessor directives added for MPI specific code
87	!
88	! 2576 2017-10-24 13:49:46Z Giersch
89	! Definition of a new function called stg_skip_global to skip module
90	! parameters during reading restart data
91	!
92	! 2563 2017-10-19 15:36:10Z Giersch
93	! stg_read_restart_data is called in stg_parin in the case of a restart run
94	!
95	! 2259 2017-06-08 09:09:11Z gronemeier
96	! Initial revision
97	!
98	!
99	!
100	! Authors:
101	! --------
102	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
103	!
104	!
105	! Description:
106	! ------------
107	!> The module generates turbulence at the inflow boundary based on a method by
108	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
109	!> correction by Kim et al. (2013).
110	!> The turbulence is correlated based on length scales in y- and z-direction and
111	!> a time scale for each velocity component. The profiles of length and time
112	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
113	!> tensor are read from file STG_PROFILES.
114	!>
115	!> @todo test restart
116	!> enable cyclic_fill
117	!> implement turbulence generation for e and pt
118	!> @todo Input of height-constant length scales via namelist
119	!> @note <Enter notes on the module>
120	!> @bug Height information from input file is not used. Profiles from input
121	!> must match with current PALM grid.
122	!> In case of restart, velocity seeds differ from precursor run if a11,
123	!> a22, or a33 are zero.
124	!------------------------------------------------------------------------------!
125	MODULE synthetic_turbulence_generator_mod
126
127
128	USE arrays_3d, &
129	ONLY: mean_inflow_profiles, u, v, w
130
131	USE constants, &
132	ONLY: pi
133
134	USE control_parameters, &
135	ONLY: initializing_actions, message_string, syn_turb_gen
136
137	USE cpulog, &
138	ONLY: cpu_log, log_point, log_point_s
139
140	USE indices, &
141	ONLY: nbgp, nzb, nzt, nxl, nxlg, nxr, nxrg, nys, nyn, nyng, nysg
142
143	USE kinds
144
145	#if defined( __parallel ) && !defined( __mpifh )
146	USE MPI
147	#endif
148
149	USE pegrid, &
150	ONLY: comm1dx, comm1dy, comm2d, ierr, myidx, myidy, pdims
151
152	USE transpose_indices, &
153	ONLY: nzb_x, nzt_x
154
155
156	IMPLICIT NONE
157
158	#if defined( __parallel ) && defined( __mpifh )
159	INCLUDE "mpif.h"
160	#endif
161
162
163	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
164	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
165
166	INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator
167	INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator
168	INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator
169	INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator
170	INTEGER(iwp) :: stg_type_xz !< MPI type for full z range
171	INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range
172	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
173	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
174	INTEGER(iwp) :: merg !< maximum length scale (in gp)
175	INTEGER(iwp) :: mergp !< merg + nbgp
176	INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x)
177	INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x)
178	INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y)
179	INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y)
180
181	REAL(wp) :: mc_factor !< mass flux correction factor
182
183	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV
184	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV
185	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV
186	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV
187	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp)
188	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
189	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
190	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp)
191	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
192	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp)
194	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
195	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
196
197	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
198
199	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
200	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
201	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
202	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
203	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
204	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
205	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
206	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
207	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
208
209	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction
210	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
211	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
212	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction
213	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
214	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
215	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction
216	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
217	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
218	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane
219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number
220	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane
221	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number
222	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane
223	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number
224	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane
225	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number
226	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane
227	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number
228	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane
229	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number
230
231
232	!
233	!-- PALM interfaces:
234	!-- Input parameter checks to be done in check_parameters
235	INTERFACE stg_check_parameters
236	MODULE PROCEDURE stg_check_parameters
237	END INTERFACE stg_check_parameters
238
239	!
240	!-- Calculate filter functions
241	INTERFACE stg_filter_func
242	MODULE PROCEDURE stg_filter_func
243	END INTERFACE stg_filter_func
244
245	!
246	!-- Generate velocity seeds at south and north domain boundary
247	INTERFACE stg_generate_seed_xz
248	MODULE PROCEDURE stg_generate_seed_xz
249	END INTERFACE stg_generate_seed_xz
250	!
251	!-- Generate velocity seeds at left and/or right domain boundary
252	INTERFACE stg_generate_seed_yz
253	MODULE PROCEDURE stg_generate_seed_yz
254	END INTERFACE stg_generate_seed_yz
255
256	!
257	!-- Output of information to the header file
258	INTERFACE stg_header
259	MODULE PROCEDURE stg_header
260	END INTERFACE stg_header
261
262	!
263	!-- Initialization actions
264	INTERFACE stg_init
265	MODULE PROCEDURE stg_init
266	END INTERFACE stg_init
267
268	!
269	!-- Main procedure of synth. turb. gen.
270	INTERFACE stg_main
271	MODULE PROCEDURE stg_main
272	END INTERFACE stg_main
273
274	!
275	!-- Reading of NAMELIST parameters
276	INTERFACE stg_parin
277	MODULE PROCEDURE stg_parin
278	END INTERFACE stg_parin
279
280	!
281	!-- Reading of parameters for restart runs
282	INTERFACE stg_rrd_global
283	MODULE PROCEDURE stg_rrd_global
284	END INTERFACE stg_rrd_global
285
286	!
287	!-- Writing of binary output for restart runs
288	INTERFACE stg_wrd_global
289	MODULE PROCEDURE stg_wrd_global
290	END INTERFACE stg_wrd_global
291
292	SAVE
293
294	PRIVATE
295
296	!
297	!-- Public interfaces
298	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
299	stg_wrd_global, stg_rrd_global
300
301	!
302	!-- Public variables
303	PUBLIC id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
304	use_syn_turb_gen
305
306
307	CONTAINS
308
309
310	!------------------------------------------------------------------------------!
311	! Description:
312	! ------------
313	!> Check parameters routine for synthetic turbulence generator
314	!------------------------------------------------------------------------------!
315	SUBROUTINE stg_check_parameters
316
317
318	USE control_parameters, &
319	ONLY: bc_lr, bc_ns, child_domain, nesting_offline, &
320	number_stretch_level_start, rans_mode, turbulent_inflow
321
322	USE pmc_interface, &
323	ONLY : rans_mode_parent
324
325
326	IMPLICIT NONE
327
328	IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. &
329	nesting_offline ) THEN
330	message_string = 'No synthetic turbulence generator is applied. ' // &
331	'In case PALM operates in LES mode and lateral ' // &
332	'boundary conditions are provided by COSMO model, ' // &
333	'turbulence may require large adjustment lenght at ' //&
334	'the lateral inflow boundaries. Please check your ' // &
335	'results carefully.'
336	CALL message( 'stg_check_parameters', 'PA0000', 0, 0, 0, 6, 0 )
337	ENDIF
338
339	IF ( .NOT. use_syn_turb_gen .AND. child_domain &
340	.AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN
341	message_string = 'Synthetic turbulence generator has to be applied ' // &
342	'when nesting is applied and parent operates in ' // &
343	'RANS-mode but current child in LES mode.'
344	CALL message( 'stg_check_parameters', 'PA0000', 1, 2, 0, 6, 0 )
345	ENDIF
346
347	IF ( use_syn_turb_gen ) THEN
348
349	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
350
351	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 &
352	.AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
353	message_string = 'Using synthetic turbulence generator ' // &
354	'requires %initializing_actions = ' // &
355	'"set_constant_profiles" or "read_restart_data"'
356	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
357	ENDIF
358
359	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
360	message_string = 'Using synthetic turbulence generator ' // &
361	'requires &bc_lr = "dirichlet/radiation"'
362	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
363	ENDIF
364	IF ( bc_ns /= 'cyclic' ) THEN
365	message_string = 'Using synthetic turbulence generator ' // &
366	'requires &bc_ns = "cyclic"'
367	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
368	ENDIF
369
370	ENDIF
371
372	IF ( turbulent_inflow ) THEN
373	message_string = 'Using synthetic turbulence generator ' // &
374	'in combination &with turbulent_inflow = .T. '// &
375	'is not allowed'
376	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
377	ENDIF
378
379	ENDIF
380
381	END SUBROUTINE stg_check_parameters
382
383
384	!------------------------------------------------------------------------------!
385	! Description:
386	! ------------
387	!> Header output for synthetic turbulence generator
388	!------------------------------------------------------------------------------!
389	SUBROUTINE stg_header ( io )
390
391
392	IMPLICIT NONE
393
394	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
395
396	!
397	!-- Write synthetic turbulence generator Header
398	WRITE( io, 1 )
399	IF ( use_syn_turb_gen ) THEN
400	WRITE( io, 2 )
401	ELSE
402	WRITE( io, 3 )
403	ENDIF
404
405	1 FORMAT (//' Synthetic turbulence generator information:'/ &
406	' ------------------------------------------'/)
407	2 FORMAT (' synthetic turbulence generator switched on')
408	3 FORMAT (' synthetic turbulence generator switched off')
409
410	END SUBROUTINE stg_header
411
412
413	!------------------------------------------------------------------------------!
414	! Description:
415	! ------------
416	!> Initialization of the synthetic turbulence generator
417	!------------------------------------------------------------------------------!
418	SUBROUTINE stg_init
419
420
421	USE arrays_3d, &
422	ONLY: ddzw, u_init, v_init, zu
423
424	USE control_parameters, &
425	ONLY: child_domain, coupling_char, dz, e_init, nesting_offline, &
426	rans_mode
427
428	USE grid_variables, &
429	ONLY: ddx, ddy
430
431	USE indices, &
432	ONLY: nz
433
434	USE pmc_interface, &
435	ONLY : rans_mode_parent
436
437
438	IMPLICIT NONE
439
440	LOGICAL :: file_stg_exist = .FALSE. !< flag indication whether parameter file for Reynolds stress and length scales exist
441
442	#if defined( __parallel )
443	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
444	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
445	#endif
446
447	INTEGER(iwp) :: i !> grid index in x-direction
448	INTEGER(iwp) :: j !> loop index
449	INTEGER(iwp) :: k !< index
450	INTEGER(iwp) :: newtype !< dummy MPI type
451	INTEGER(iwp) :: realsize !< size of REAL variables
452	INTEGER(iwp) :: nseed !< dimension of random number seed
453	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
454
455	!
456	!-- Dummy variables used for reading profiles
457	REAL(wp) :: d1 !< u profile
458	REAL(wp) :: d2 !< v profile
459	REAL(wp) :: d3 !< w profile
460	REAL(wp) :: d5 !< e profile
461	REAL(wp) :: d11 !< vertical interpolation for a11
462	REAL(wp) :: d21 !< vertical interpolation for a21
463	REAL(wp) :: d22 !< vertical interpolation for a22
464	REAL(wp) :: dum_exp !< dummy variable used for exponential vertical decrease of turbulent length scales
465	REAL(wp) :: luy !< length scale for u in y direction
466	REAL(wp) :: luz !< length scale for u in z direction
467	REAL(wp) :: lvy !< length scale for v in y direction
468	REAL(wp) :: lvz !< length scale for v in z direction
469	REAL(wp) :: lwy !< length scale for w in y direction
470	REAL(wp) :: lwz !< length scale for w in z direction
471	REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction
472	REAL(wp) :: zz !< height
473
474	REAL(wp) :: length_scale_surface !< typical length scale
475	REAL(wp) :: r_ii_0 !< correction factor
476	REAL(wp) :: time_scale !< typical time scale
477	REAL(wp) :: length_scale_z !< typical length scale
478
479	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
480	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
481	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
482	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
483	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
484	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
485
486
487	#if defined( __parallel )
488	CALL MPI_BARRIER( comm2d, ierr )
489	#endif
490
491	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
492
493	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
494	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
495
496	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
497	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
498	nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), &
499	nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), &
500	nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
501	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
502
503	#if defined( __parallel )
504	!
505	!-- Determine processor decomposition of z-axis along x- and y-direction
506	nnz = nz / pdims(1)
507	nzb_x_stg = 1 + myidx * INT( nnz )
508	nzt_x_stg = ( myidx + 1 ) * INT( nnz )
509
510	IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) &
511	nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) )
512	! nzt_x_stg = myidx * nnz + MOD( nz , pdims(1) )
513
514	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
515	.AND. .NOT. rans_mode ) ) THEN
516	nnz = nz / pdims(2)
517	nzb_y_stg = 1 + myidy * INT( nnz )
518	nzt_y_stg = ( myidy + 1 ) * INT( nnz )
519
520	IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) &
521	nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) )
522	! nzt_y_stg = myidy * nnz + MOD( nz , pdims(2) )
523	ENDIF
524
525	!
526	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
527	!-- velocity seeds
528	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
529	extent = 1 * realsize
530	!
531	!-- Set-up MPI datatyp to involve all cores for turbulence generation at yz
532	!-- layer
533	!-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
534	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
535	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
536	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
537	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
538	CALL MPI_TYPE_FREE( newtype, ierr )
539
540	! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
541	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], &
542	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
543	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
544	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
545	CALL MPI_TYPE_FREE( newtype, ierr )
546
547	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
548	ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) )
549
550	recv_count_yz = nzt_x_stg-nzb_x_stg + 1
551	recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1
552
553	DO j = 1, pdims(1)
554	displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1)
555	ENDDO
556	!
557	!-- Set-up MPI datatyp to involve all cores for turbulence generation at xz
558	!-- layer
559	!-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1
560	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
561	.AND. .NOT. rans_mode ) ) THEN
562	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], &
563	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
564	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr )
565	CALL MPI_TYPE_COMMIT( stg_type_xz, ierr )
566	CALL MPI_TYPE_FREE( newtype, ierr )
567
568	! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1
569	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], &
570	[1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
571	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr )
572	CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr )
573	CALL MPI_TYPE_FREE( newtype, ierr )
574
575	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
576	ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) )
577
578	recv_count_xz = nzt_y_stg-nzb_y_stg + 1
579	recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1
580
581	DO j = 1, pdims(2)
582	displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1)
583	ENDDO
584
585	ENDIF
586
587	#endif
588	!
589	!-- Define seed of random number
590	CALL RANDOM_SEED()
591	CALL RANDOM_SEED( size=nseed )
592	ALLOCATE( seed(1:nseed) )
593	DO j = 1, nseed
594	seed(j) = startseed + j
595	ENDDO
596	CALL RANDOM_SEED(put=seed)
597
598	!-- Read inflow profile
599	!-- Height levels of profiles in input profile is as follows:
600	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
601	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
602	!-- WARNING: zz is not used at the moment
603	INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), &
604	EXIST = file_stg_exist )
605
606	IF ( file_stg_exist ) THEN
607
608	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
609	FORM='FORMATTED')
610	!
611	!-- Skip header
612	READ( 90, * )
613
614	DO k = nzb+1, nzt+1
615	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
616	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
617	d1, d2, d3, d5
618
619	!
620	!-- Convert length scales from meter to number of grid points.
621	nuy(k) = INT( luy * ddy )
622	nuz(k) = INT( luz * ddzw(k) )
623	nvy(k) = INT( lvy * ddy )
624	nvz(k) = INT( lvz * ddzw(k) )
625	nwy(k) = INT( lwy * ddy )
626	nwz(k) = INT( lwz * ddzw(k) )
627	!
628	!-- Workaround, assume isotropic turbulence
629	nwx(k) = nwy(k)
630	nvx(k) = nvy(k)
631	nux(k) = nuy(k)
632	!
633	!-- Save Mean inflow profiles
634	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
635	mean_inflow_profiles(k,1) = d1
636	mean_inflow_profiles(k,2) = d2
637	! mean_inflow_profiles(k,4) = d4
638	mean_inflow_profiles(k,5) = d5
639	ENDIF
640	ENDDO
641	!
642	!-- Set lenght scales at surface grid point
643	nuy(nzb) = nuy(nzb+1)
644	nuz(nzb) = nuz(nzb+1)
645	nvy(nzb) = nvy(nzb+1)
646	nvz(nzb) = nvz(nzb+1)
647	nwy(nzb) = nwy(nzb+1)
648	nwz(nzb) = nwz(nzb+1)
649
650	CLOSE( 90 )
651
652	ELSE
653	!
654	!-- Set-up defaul length scales. Assume exponentially decreasing length
655	!-- scales and isotropic turbulence.
656	!-- Typical length (time) scales of 100 m (s) should be a good compromise
657	!-- between all stratrifications. Near-surface variances are fixed to
658	!-- 0.1 m2/s2, vertical fluxes are one order of magnitude smaller.
659	!-- Vertical fluxes
660	length_scale_surface = 100.0_wp
661	r_ii_0 = 0.1_wp
662	time_scale = 100.0_wp
663	DO k = nzb+1, nzt+1
664	dum_exp = MERGE( -zu(k) / ( 0.3* zu(nzt) ), &
665	0.0_wp, &
666	zu(k) > 0.3 * zu(nzt) &
667	)
668	length_scale_z = length_scale_surface * EXP( dum_exp )
669
670	nux(k) = MAX( INT( length_scale_z * ddx ), 1 )
671	nuy(k) = MAX( INT( length_scale_z * ddy ), 1 )
672	nuz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
673	nvx(k) = MAX( INT( length_scale_z * ddx ), 1 )
674	nvy(k) = MAX( INT( length_scale_z * ddy ), 1 )
675	nvz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
676	nwx(k) = MAX( INT( length_scale_z * ddx ), 1 )
677	nwy(k) = MAX( INT( length_scale_z * ddy ), 1 )
678	nwz(k) = MAX( INT( length_scale_z * ddzw(k) ), 1 )
679
680	r11(k) = r_ii_0 * EXP( dum_exp )
681	r22(k) = r_ii_0 * EXP( dum_exp )
682	r33(k) = r_ii_0 * EXP( dum_exp )
683
684	r21(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
685	r31(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
686	r32(k) = 0.1_wp * r_ii_0 * EXP( dum_exp )
687
688	tu(k) = time_scale
689	tv(k) = time_scale
690	tw(k) = time_scale
691
692	ENDDO
693	nux(nzb) = nux(nzb+1)
694	nuy(nzb) = nuy(nzb+1)
695	nuz(nzb) = nuz(nzb+1)
696	nvx(nzb) = nvx(nzb+1)
697	nvy(nzb) = nvy(nzb+1)
698	nvz(nzb) = nvz(nzb+1)
699	nwx(nzb) = nwx(nzb+1)
700	nwy(nzb) = nwy(nzb+1)
701	nwz(nzb) = nwz(nzb+1)
702
703	r11(nzb) = r11(nzb+1)
704	r22(nzb) = r22(nzb+1)
705	r33(nzb) = r33(nzb+1)
706
707	r21(nzb) = r11(nzb+1)
708	r31(nzb) = r31(nzb+1)
709	r32(nzb) = r32(nzb+1)
710
711	tu(nzb) = time_scale
712	tv(nzb) = time_scale
713	tw(nzb) = time_scale
714
715	ENDIF
716
717	!
718	!-- Assign initial profiles
719	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
720	u_init = mean_inflow_profiles(:,1)
721	v_init = mean_inflow_profiles(:,2)
722	!pt_init = mean_inflow_profiles(:,4)
723	e_init = MAXVAL( mean_inflow_profiles(:,5) )
724	ENDIF
725	!
726	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
727	DO k = nzb, nzt+1
728	IF ( r11(k) > 0.0_wp ) THEN
729	a11(k) = SQRT( r11(k) )
730	a21(k) = r21(k) / a11(k)
731	ELSE
732	a11(k) = 0.0_wp
733	a21(k) = 0.0_wp
734	ENDIF
735
736	a22(k) = r22(k) - a21(k)**2
737	IF ( a22(k) > 0.0_wp ) THEN
738	a22(k) = SQRT( a22(k) )
739	ELSE
740	a22(k) = 0.0_wp
741	ENDIF
742
743	!
744	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
745	!-- d21, d22) because of different vertical grid
746	IF ( k .le. nzt ) THEN
747	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
748	IF ( d11 > 0.0_wp ) THEN
749	d11 = SQRT( d11 )
750	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
751	a31(k) = r31(k) / d11
752	ELSE
753	d21 = 0.0_wp
754	a31(k) = 0.0_wp
755	ENDIF
756
757	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
758	IF ( d22 > 0.0_wp ) THEN
759	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
760	ELSE
761	a32(k) = 0.0_wp
762	ENDIF
763
764	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
765	IF ( a33(k) > 0.0_wp ) THEN
766	a33(k) = SQRT( a33(k) )
767	ELSE
768	a33(k) = 0.0_wp
769	ENDIF
770	ELSE
771	a31(k) = a31(k-1)
772	a32(k) = a32(k-1)
773	a33(k) = a33(k-1)
774	ENDIF
775
776	ENDDO
777	!
778	!-- Define the size of the filter functions and allocate them.
779	merg = 0
780
781	! arrays must be large enough to cover the largest length scale
782	DO k = nzb, nzt+1
783	j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), &
784	ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), &
785	ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) )
786	IF ( j > merg ) merg = j
787	ENDDO
788
789	merg = 2 * merg
790	mergp = merg + nbgp
791
792	ALLOCATE ( bux(-merg:merg,nzb:nzt+1), &
793	buy(-merg:merg,nzb:nzt+1), &
794	buz(-merg:merg,nzb:nzt+1), &
795	bvx(-merg:merg,nzb:nzt+1), &
796	bvy(-merg:merg,nzb:nzt+1), &
797	bvz(-merg:merg,nzb:nzt+1), &
798	bwx(-merg:merg,nzb:nzt+1), &
799	bwy(-merg:merg,nzb:nzt+1), &
800	bwz(-merg:merg,nzb:nzt+1) )
801
802	!
803	!-- Allocate velocity seeds for turbulence at xz-layer
804	ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), &
805	fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), &
806	fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) )
807
808	!
809	!-- Allocate velocity seeds for turbulence at yz-layer
810	ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), &
811	fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), &
812	fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) )
813
814	fu_xz = 0.0_wp
815	fuo_xz = 0.0_wp
816	fv_xz = 0.0_wp
817	fvo_xz = 0.0_wp
818	fw_xz = 0.0_wp
819	fwo_xz = 0.0_wp
820
821	fu_yz = 0.0_wp
822	fuo_yz = 0.0_wp
823	fv_yz = 0.0_wp
824	fvo_yz = 0.0_wp
825	fw_yz = 0.0_wp
826	fwo_yz = 0.0_wp
827
828	!
829	!-- Create filter functions
830	CALL stg_filter_func( nux, bux ) !filter ux
831	CALL stg_filter_func( nuy, buy ) !filter uy
832	CALL stg_filter_func( nuz, buz ) !filter uz
833	CALL stg_filter_func( nvx, bvx ) !filter vx
834	CALL stg_filter_func( nvy, bvy ) !filter vy
835	CALL stg_filter_func( nvz, bvz ) !filter vz
836	CALL stg_filter_func( nwx, bwx ) !filter wx
837	CALL stg_filter_func( nwy, bwy ) !filter wy
838	CALL stg_filter_func( nwz, bwz ) !filter wz
839
840	#if defined( __parallel )
841	CALL MPI_BARRIER( comm2d, ierr )
842	#endif
843
844	!
845	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
846	! time step.
847	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
848	! are 0 compared to the prerun. This is mostly for k=nzt+1.
849	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
850	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
851
852	IF ( myidx == id_stg_left ) i = -1
853	IF ( myidx == id_stg_right ) i = nxr+1
854
855	DO j = nysg, nyng
856	DO k = nzb, nzt+1
857
858	IF ( a11(k) .NE. 0._wp ) THEN
859	fu_yz(k,j) = ( u(k,j,i) / mc_factor - u_init(k) ) / a11(k)
860	ELSE
861	fu_yz(k,j) = 0._wp
862	ENDIF
863
864	IF ( a22(k) .NE. 0._wp ) THEN
865	fv_yz(k,j) = ( v(k,j,i) / mc_factor - a21(k) * fu_yz(k,j) - &
866	v_init(k) ) / a22(k)
867	ELSE
868	fv_yz(k,j) = 0._wp
869	ENDIF
870
871	IF ( a33(k) .NE. 0._wp ) THEN
872	fw_yz(k,j) = ( w(k,j,i) / mc_factor - a31(k) * fu_yz(k,j) - &
873	a32(k) * fv_yz(k,j) ) / a33(k)
874	ELSE
875	fw_yz = 0._wp
876	ENDIF
877
878	ENDDO
879	ENDDO
880	ENDIF
881	ENDIF
882
883	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
884
885	END SUBROUTINE stg_init
886
887
888	!------------------------------------------------------------------------------!
889	! Description:
890	! ------------
891	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
892	!> (Xie and Castro, 2008)
893	!------------------------------------------------------------------------------!
894	SUBROUTINE stg_filter_func( nxx, bxx )
895
896
897	IMPLICIT NONE
898
899	INTEGER(iwp) :: k !< loop index
900	INTEGER(iwp) :: n_k !< length scale nXX in height k
901	INTEGER(iwp) :: n_k2 !< n_k * 2
902	INTEGER(iwp) :: nf !< index for length scales
903
904	REAL(wp) :: bdenom !< denominator for filter functions bXX
905	REAL(wp) :: qsi = 1.0_wp !< minimization factor
906
907	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
908
909	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
910
911
912	bxx = 0.0_wp
913
914	DO k = nzb, nzt+1
915	bdenom = 0.0_wp
916	n_k = nxx(k)
917	IF ( n_k /= 0 ) THEN
918	n_k2 = n_k * 2
919
920	!
921	!-- ( Eq.10 )^2
922	DO nf = -n_k2, n_k2
923	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
924	ENDDO
925
926	!
927	!-- ( Eq.9 )
928	bdenom = SQRT( bdenom )
929	DO nf = -n_k2, n_k2
930	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
931	ENDDO
932	ENDIF
933	ENDDO
934
935	END SUBROUTINE stg_filter_func
936
937
938	!------------------------------------------------------------------------------!
939	! Description:
940	! ------------
941	!> Parin for &stg_par for synthetic turbulence generator
942	!------------------------------------------------------------------------------!
943	SUBROUTINE stg_parin
944
945
946	IMPLICIT NONE
947
948	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
949
950
951	NAMELIST /stg_par/ use_syn_turb_gen
952
953	line = ' '
954
955	!
956	!-- Try to find stg package
957	REWIND ( 11 )
958	line = ' '
959	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
960	READ ( 11, '(A)', END=10 ) line
961	ENDDO
962	BACKSPACE ( 11 )
963
964	!
965	!-- Read namelist
966	READ ( 11, stg_par )
967
968	!
969	!-- Set flag that indicates that the synthetic turbulence generator is switched
970	!-- on
971	syn_turb_gen = .TRUE.
972
973
974	10 CONTINUE
975
976	END SUBROUTINE stg_parin
977
978
979	!------------------------------------------------------------------------------!
980	! Description:
981	! ------------
982	!> This routine reads the respective restart data.
983	!------------------------------------------------------------------------------!
984	SUBROUTINE stg_rrd_global( found )
985
986
987	USE control_parameters, &
988	ONLY: length, restart_string
989
990
991	IMPLICIT NONE
992
993	LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found
994
995
996	found = .TRUE.
997
998
999	SELECT CASE ( restart_string(1:length) )
1000
1001	CASE ( 'mc_factor' )
1002	READ ( 13 ) mc_factor
1003	CASE ( 'use_syn_turb_gen' )
1004	READ ( 13 ) use_syn_turb_gen
1005
1006	CASE DEFAULT
1007
1008	found = .FALSE.
1009
1010	END SELECT
1011
1012
1013	END SUBROUTINE stg_rrd_global
1014
1015
1016	!------------------------------------------------------------------------------!
1017	! Description:
1018	! ------------
1019	!> This routine writes the respective restart data.
1020	!------------------------------------------------------------------------------!
1021	SUBROUTINE stg_wrd_global
1022
1023
1024	IMPLICIT NONE
1025
1026	CALL wrd_write_string( 'mc_factor' )
1027	WRITE ( 14 ) mc_factor
1028
1029	CALL wrd_write_string( 'use_syn_turb_gen' )
1030	WRITE ( 14 ) use_syn_turb_gen
1031
1032
1033	END SUBROUTINE stg_wrd_global
1034
1035
1036	!------------------------------------------------------------------------------!
1037	! Description:
1038	! ------------
1039	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
1040	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
1041	!> following suggestions of Kim et al. (2013), and using a Lund rotation
1042	!> (Lund, 1998).
1043	!------------------------------------------------------------------------------!
1044	SUBROUTINE stg_main
1045
1046
1047	USE arrays_3d, &
1048	ONLY: dzw
1049
1050	USE control_parameters, &
1051	ONLY: child_domain, dt_3d, intermediate_timestep_count, &
1052	nesting_offline, rans_mode, simulated_time, volume_flow_initial
1053
1054	USE grid_variables, &
1055	ONLY: dx, dy
1056
1057	USE indices, &
1058	ONLY: wall_flags_0
1059
1060	USE statistics, &
1061	ONLY: weight_substep
1062
1063	USE pmc_interface, &
1064	ONLY : rans_mode_parent
1065
1066
1067	IMPLICIT NONE
1068
1069	INTEGER(iwp) :: i !< grid index in x-direction
1070	INTEGER(iwp) :: j !< loop index in y-direction
1071	INTEGER(iwp) :: k !< loop index in z-direction
1072
1073	REAL(wp) :: dt_stg !< wheighted subtimestep
1074	REAL(wp) :: mc_factor_l !< local mass flux correction factor
1075	REAL(wp) :: volume_flow !< mass flux through lateral boundary
1076	REAL(wp) :: volume_flow_l !< local mass flux through lateral boundary
1077
1078	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg,5) :: dist_xz !< imposed disturbances at north/south boundary
1079	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5) :: dist_yz !< imposed disturbances at left/right boundary
1080
1081
1082	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
1083
1084	!
1085	!-- Calculate time step which is needed for filter functions
1086	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
1087
1088	!
1089	!-- Initial value of fu, fv, fw
1090	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
1091	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left )
1092	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left )
1093	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left )
1094
1095	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
1096	.AND. .NOT. rans_mode ) ) THEN
1097	!
1098	!-- Generate turbulence at right boundary
1099	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right )
1100	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right )
1101	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right )
1102	!
1103	!-- Generate turbulence at north boundary
1104	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north )
1105	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north )
1106	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north )
1107	!
1108	!-- Generate turbulence at south boundary
1109	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south )
1110	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south )
1111	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south )
1112	ENDIF
1113	velocity_seed_initialized = .TRUE.
1114	ENDIF
1115	!
1116	!-- New set of fu, fv, fw
1117	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left )
1118	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left )
1119	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left )
1120
1121	IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent &
1122	.AND. .NOT. rans_mode ) ) THEN
1123	!
1124	!-- Generate turbulence at right boundary
1125	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right )
1126	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right )
1127	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right )
1128	!
1129	!-- Generate turbulence at north boundary
1130	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north )
1131	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north )
1132	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north )
1133	!
1134	!-- Generate turbulence at south boundary
1135	CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south )
1136	CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south )
1137	CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south )
1138	ENDIF
1139	!
1140	!-- Turbulence generation at left and or right boundary
1141	IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN
1142
1143	DO j = nysg, nyng
1144	DO k = nzb, nzt + 1
1145	!
1146	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1147	IF ( tu(k) == 0.0_wp ) THEN
1148	fu_yz(k,j) = fuo_yz(k,j)
1149	ELSE
1150	fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1151	fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1152	ENDIF
1153
1154	IF ( tv(k) == 0.0_wp ) THEN
1155	fv_yz(k,j) = fvo_yz(k,j)
1156	ELSE
1157	fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1158	fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1159	ENDIF
1160
1161	IF ( tw(k) == 0.0_wp ) THEN
1162	fw_yz(k,j) = fwo_yz(k,j)
1163	ELSE
1164	fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1165	fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1166	ENDIF
1167	!
1168	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1169	!-- Additional factors are added to improve the variance of v and w
1170	IF( k == 0 ) THEN
1171	dist_yz(k,j,1) = 0.0_wp
1172	dist_yz(k,j,2) = 0.0_wp
1173	dist_yz(k,j,3) = 0.0_wp
1174	! dist_yz(k,j,4) = 0.0_wp
1175	! dist_yz(k,j,5) = 0.0_wp
1176	ELSE
1177	dist_yz(k,j,1) = a11(k) * fu_yz(k,j)
1178	!experimental test of 1.2
1179	dist_yz(k,j,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1180	* 1.2_wp ) &
1181	* ( a21(k) * fu_yz(k,j) &
1182	+ a22(k) * fv_yz(k,j) )
1183	dist_yz(k,j,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1184	* 1.3_wp ) &
1185	* ( a31(k) * fu_yz(k,j) &
1186	+ a32(k) * fv_yz(k,j) &
1187	+ a33(k) * fw_yz(k,j) )
1188	! Calculation for pt and e not yet implemented
1189	! dist_yz(k,j,4) = 0.0_wp
1190	! dist_yz(k,j,5) = 0.0_wp
1191	ENDIF
1192
1193	ENDDO
1194	ENDDO
1195
1196	!
1197	!-- Mass flux correction following Kim et al. (2013)
1198	!-- This correction factor insures that the mass flux is preserved at the
1199	!-- inflow boundary
1200	IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN
1201	mc_factor_l = 0.0_wp
1202	mc_factor = 0.0_wp
1203	DO j = nys, nyn
1204	DO k = nzb+1, nzt
1205	mc_factor_l = mc_factor_l + dzw(k) * &
1206	( mean_inflow_profiles(k,1) + dist_yz(k,j,1) )
1207	ENDDO
1208	ENDDO
1209
1210	#if defined( __parallel )
1211	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1212	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1213	#else
1214	mc_factor = mc_factor_l
1215	#endif
1216
1217	mc_factor = volume_flow_initial(1) / mc_factor
1218
1219	!
1220	!-- Add disturbance at the inflow
1221	DO j = nysg, nyng
1222	DO k = nzb, nzt+1
1223	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
1224	dist_yz(k,j,1) ) * mc_factor
1225	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
1226	dist_yz(k,j,2) ) * mc_factor
1227	w(k,j,-nbgp:-1) = dist_yz(k,j,3) * mc_factor
1228	ENDDO
1229	ENDDO
1230
1231	ELSE
1232	!
1233	!-- First, calculate volume flow at yz boundary
1234	IF ( myidx == id_stg_left ) i = nxl
1235	IF ( myidx == id_stg_right ) i = nxr+1
1236
1237	volume_flow_l = 0.0_wp
1238	volume_flow = 0.0_wp
1239	mc_factor_l = 0.0_wp
1240	mc_factor = 0.0_wp
1241	DO j = nys, nyn
1242	DO k = nzb+1, nzt
1243	volume_flow_l = volume_flow_l + u(k,j,i) * dzw(k) * dy &
1244	* MERGE( 1.0_wp, 0.0_wp, &
1245	BTEST( wall_flags_0(k,j,i), 1 ) )
1246
1247	mc_factor_l = mc_factor_l + ( u(k,j,i) + dist_yz(k,j,1) ) &
1248	* dzw(k) * dy &
1249	* MERGE( 1.0_wp, 0.0_wp, &
1250	BTEST( wall_flags_0(k,j,i), 1 ) )
1251	ENDDO
1252	ENDDO
1253	#if defined( __parallel )
1254	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1255	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1256	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1257	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
1258	#else
1259	volume_flow = volume_flow_l
1260	mc_factor = mc_factor_l
1261	#endif
1262
1263	mc_factor = volume_flow / mc_factor
1264
1265	!
1266	!-- Add disturbances
1267	IF ( myidx == id_stg_left ) THEN
1268
1269	DO j = nysg, nyng
1270	DO k = nzb, nzt+1
1271	u(k,j,-nbgp+1:0) = ( u(k,j,-nbgp+1:0) + dist_yz(k,j,1) ) &
1272	* mc_factor
1273	v(k,j,-nbgp:-1) = ( v(k,j,-nbgp:-1) + dist_yz(k,j,2) ) &
1274	* mc_factor
1275	w(k,j,-nbgp:-1) = ( w(k,j,-nbgp:-1) + dist_yz(k,j,3) ) &
1276	* mc_factor
1277	ENDDO
1278	ENDDO
1279	ENDIF
1280	IF ( myidx == id_stg_right ) THEN
1281
1282	DO j = nysg, nyng
1283	DO k = nzb, nzt+1
1284	u(k,j,nxr+1:nxr+nbgp) = ( u(k,j,nxr+1:nxr+nbgp) + &
1285	dist_yz(k,j,1) ) * mc_factor
1286	v(k,j,nxr+1:nxr+nbgp) = ( v(k,j,nxr+1:nxr+nbgp) + &
1287	dist_yz(k,j,2) ) * mc_factor
1288	w(k,j,nxr+1:nxr+nbgp) = ( w(k,j,nxr+1:nxr+nbgp) + &
1289	dist_yz(k,j,3) ) * mc_factor
1290	ENDDO
1291	ENDDO
1292	ENDIF
1293	ENDIF
1294
1295	ENDIF
1296	!
1297	!-- Turbulence generation at north and south boundary
1298	IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN
1299
1300	DO i = nxlg, nxrg
1301	DO k = nzb, nzt + 1
1302	!
1303	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
1304	IF ( tu(k) == 0.0_wp ) THEN
1305	fu_xz(k,i) = fuo_xz(k,i)
1306	ELSE
1307	fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
1308	fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
1309	ENDIF
1310
1311	IF ( tv(k) == 0.0_wp ) THEN
1312	fv_xz(k,i) = fvo_xz(k,i)
1313	ELSE
1314	fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
1315	fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
1316	ENDIF
1317
1318	IF ( tw(k) == 0.0_wp ) THEN
1319	fw_xz(k,i) = fwo_xz(k,i)
1320	ELSE
1321	fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
1322	fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
1323	ENDIF
1324	!
1325	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
1326	!-- Additional factors are added to improve the variance of v and w
1327	IF( k == 0 ) THEN
1328	dist_xz(k,i,1) = 0.0_wp
1329	dist_xz(k,i,2) = 0.0_wp
1330	dist_xz(k,i,3) = 0.0_wp
1331
1332	ELSE
1333	dist_xz(k,i,1) = a11(k) * fu_xz(k,i)
1334	!experimental test of 1.2
1335	dist_xz(k,i,2) = ( SQRT( a22(k) / MAXVAL(a22) ) &
1336	* 1.2_wp ) &
1337	* ( a21(k) * fu_xz(k,i) &
1338	+ a22(k) * fv_xz(k,i) )
1339	dist_xz(k,i,3) = ( SQRT(a33(k) / MAXVAL(a33) ) &
1340	* 1.3_wp ) &
1341	* ( a31(k) * fu_xz(k,i) &
1342	+ a32(k) * fv_xz(k,i) &
1343	+ a33(k) * fw_xz(k,i) )
1344	ENDIF
1345
1346	ENDDO
1347	ENDDO
1348	!
1349	!-- Mass flux correction following Kim et al. (2013)
1350	!-- This correction factor insures that the mass flux is preserved at the
1351	!-- inflow boundary.
1352	!-- First, calculate volume flow at xz boundary
1353	IF ( myidy == id_stg_south ) j = nys
1354	IF ( myidy == id_stg_north ) j = nyn+1
1355
1356	volume_flow_l = 0.0_wp
1357	volume_flow = 0.0_wp
1358	mc_factor_l = 0.0_wp
1359	mc_factor = 0.0_wp
1360	DO i = nxl, nxr
1361	DO k = nzb+1, nzt
1362	volume_flow_l = volume_flow_l + v(k,j,i) * dzw(k) * dx &
1363	* MERGE( 1.0_wp, 0.0_wp, &
1364	BTEST( wall_flags_0(k,j,i), 2 ) )
1365
1366	mc_factor_l = mc_factor_l + ( v(k,j,i) + dist_xz(k,i,2) ) &
1367	* dzw(k) * dx &
1368	* MERGE( 1.0_wp, 0.0_wp, &
1369	BTEST( wall_flags_0(k,j,i), 2 ) )
1370	ENDDO
1371	ENDDO
1372	#if defined( __parallel )
1373	CALL MPI_ALLREDUCE( volume_flow_l, volume_flow, &
1374	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1375	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
1376	1, MPI_REAL, MPI_SUM, comm1dx, ierr )
1377	#else
1378	volume_flow = volume_flow_l
1379	mc_factor = mc_factor_l
1380	#endif
1381
1382	mc_factor = volume_flow / mc_factor
1383
1384	!
1385	!-- Add disturbances
1386	IF ( myidy == id_stg_south ) THEN
1387
1388	DO i = nxlg, nxrg
1389	DO k = nzb, nzt+1
1390	u(k,-nbgp:-1,i) = ( u(k,-nbgp:-1,i) + dist_xz(k,i,1) ) &
1391	* mc_factor
1392	v(k,-nbgp:0,i) = ( v(k,-nbgp:0,i) + dist_xz(k,i,2) ) &
1393	* mc_factor
1394	w(k,-nbgp:-1,i) = ( w(k,-nbgp:-1,i) + dist_xz(k,i,3) ) &
1395	* mc_factor
1396	ENDDO
1397	ENDDO
1398	ENDIF
1399	IF ( myidy == id_stg_north ) THEN
1400
1401	DO i = nxlg, nxrg
1402	DO k = nzb, nzt+1
1403	u(k,nyn+1:nyn+nbgp,i) = ( u(k,nyn+1:nyn+nbgp,i) + &
1404	dist_xz(k,i,1) ) * mc_factor
1405	v(k,nyn+1:nyn+nbgp,i) = ( v(k,nyn+1:nyn+nbgp,i) + &
1406	dist_xz(k,i,2) ) * mc_factor
1407	w(k,nyn+1:nyn+nbgp,i) = ( w(k,nyn+1:nyn+nbgp,i) + &
1408	dist_xz(k,i,3) ) * mc_factor
1409	ENDDO
1410	ENDDO
1411	ENDIF
1412	ENDIF
1413
1414	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
1415
1416	END SUBROUTINE stg_main
1417
1418	!------------------------------------------------------------------------------!
1419	! Description:
1420	! ------------
1421	!> Generate a set of random number rand_it wich is equal on each PE
1422	!> and calculate the velocity seed f_n.
1423	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
1424	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1425	!> parts are collected to form the full array.
1426	!------------------------------------------------------------------------------!
1427	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id )
1428
1429
1430	USE indices, &
1431	ONLY: ny
1432
1433	IMPLICIT NONE
1434
1435	INTEGER(iwp) :: id !< core ids at respective boundaries
1436	INTEGER(iwp) :: j !< loop index in y-direction
1437	INTEGER(iwp) :: jj !< loop index in y-direction
1438	INTEGER(iwp) :: k !< loop index in z-direction
1439	INTEGER(iwp) :: kk !< loop index in z-direction
1440	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1441
1442	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
1443	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1444	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
1445	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1446
1447	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
1448	REAL(wp) :: rand_av !< average of random number
1449	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1450
1451	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
1452	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1453	REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed
1454	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
1455	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1456
1457
1458	!
1459	!-- Generate random numbers using a seed generated in stg_init.
1460	!-- The set of random numbers are modified to have an average of 0 and
1461	!-- unit variance.
1462	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
1463
1464	rand_av = 0.0_wp
1465	rand_sigma_inv = 0.0_wp
1466	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
1467
1468	DO j = 0, ny
1469	DO k = nzb, nzt+1
1470	CALL RANDOM_NUMBER( rand_it(k,j) )
1471	rand_av = rand_av + rand_it(k,j)
1472	ENDDO
1473	ENDDO
1474
1475	rand_av = rand_av * nyz_inv
1476
1477	DO j = 0, ny
1478	DO k = nzb, nzt+1
1479	rand_it(k,j) = rand_it(k,j) - rand_av
1480	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
1481	ENDDO
1482	ENDDO
1483
1484	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
1485
1486	DO j = 0, ny
1487	DO k = nzb, nzt+1
1488	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
1489	ENDDO
1490	ENDDO
1491
1492	!
1493	!-- Periodic fill of random number in space
1494	DO j = 0, ny
1495	DO k = 1, mergp
1496	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
1497	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
1498	ENDDO
1499	ENDDO
1500	DO j = 1, mergp
1501	DO k = nzb-mergp, nzt+1+mergp
1502	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
1503	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
1504	ENDDO
1505	ENDDO
1506
1507	!
1508	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1509	n_y2 = n_y * 2
1510	n_z2 = n_z * 2
1511	f_n_l = 0.0_wp
1512
1513	DO j = nysg, nyng
1514	DO k = nzb_x_stg, nzt_x_stg+1
1515	DO jj = -n_y2(k), n_y2(k)
1516	DO kk = -n_z2(k), n_z2(k)
1517	f_n_l(k,j) = f_n_l(k,j) &
1518	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
1519	ENDDO
1520	ENDDO
1521	ENDDO
1522	ENDDO
1523
1524	DEALLOCATE( rand_it )
1525	!
1526	!-- Gather velocity seeds of full subdomain
1527	send_count = nzt_x_stg - nzb_x_stg + 1
1528	IF ( nzt_x_stg == nzt ) send_count = send_count + 1
1529
1530	#if defined( __parallel )
1531	CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, &
1532	f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, &
1533	id, comm1dx, ierr )
1534	#else
1535	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng)
1536	#endif
1537
1538
1539	END SUBROUTINE stg_generate_seed_yz
1540
1541
1542
1543
1544	!------------------------------------------------------------------------------!
1545	! Description:
1546	! ------------
1547	!> Generate a set of random number rand_it wich is equal on each PE
1548	!> and calculate the velocity seed f_n.
1549	!> f_n is splitted in vertical direction by the number of PEs in y-direction and
1550	!> and each PE calculates a vertical subsection of f_n. At the the end, all
1551	!> parts are collected to form the full array.
1552	!------------------------------------------------------------------------------!
1553	SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id )
1554
1555
1556	USE indices, &
1557	ONLY: nx
1558
1559
1560	IMPLICIT NONE
1561
1562	INTEGER(iwp) :: id !< core ids at respective boundaries
1563	INTEGER(iwp) :: i !< loop index in x-direction
1564	INTEGER(iwp) :: ii !< loop index in x-direction
1565	INTEGER(iwp) :: k !< loop index in z-direction
1566	INTEGER(iwp) :: kk !< loop index in z-direction
1567	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
1568
1569	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction
1570	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
1571	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_y*2
1572	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
1573
1574	REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice
1575	REAL(wp) :: rand_av !< average of random number
1576	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
1577
1578	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter func in y-dir
1579	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
1580	REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed
1581	REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed
1582	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
1583
1584
1585	!
1586	!-- Generate random numbers using a seed generated in stg_init.
1587	!-- The set of random numbers are modified to have an average of 0 and
1588	!-- unit variance.
1589	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) )
1590
1591	rand_av = 0.0_wp
1592	rand_sigma_inv = 0.0_wp
1593	nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp )
1594
1595	DO i = 0, nx
1596	DO k = nzb, nzt+1
1597	CALL RANDOM_NUMBER( rand_it(k,i) )
1598	rand_av = rand_av + rand_it(k,i)
1599	ENDDO
1600	ENDDO
1601
1602	rand_av = rand_av * nxz_inv
1603
1604	DO i = 0, nx
1605	DO k = nzb, nzt+1
1606	rand_it(k,i) = rand_it(k,i) - rand_av
1607	rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2
1608	ENDDO
1609	ENDDO
1610
1611	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv)
1612
1613	DO i = 0, nx
1614	DO k = nzb, nzt+1
1615	rand_it(k,i) = rand_it(k,i) * rand_sigma_inv
1616	ENDDO
1617	ENDDO
1618
1619	!
1620	!-- Periodic fill of random number in space
1621	DO i = 0, nx
1622	DO k = 1, mergp
1623	rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin
1624	rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin
1625	ENDDO
1626	ENDDO
1627	DO i = 1, mergp
1628	DO k = nzb-mergp, nzt+1+mergp
1629	rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin
1630	rand_it(k,nx+i) = rand_it(k,i-1) ! right margin
1631	ENDDO
1632	ENDDO
1633
1634	!
1635	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1636	n_x2 = n_x * 2
1637	n_z2 = n_z * 2
1638	f_n_l = 0.0_wp
1639
1640	DO i = nxlg, nxrg
1641	DO k = nzb_y_stg, nzt_y_stg+1
1642	DO ii = -n_x2(k), n_x2(k)
1643	DO kk = -n_z2(k), n_z2(k)
1644	f_n_l(k,i) = f_n_l(k,i) &
1645	+ b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii)
1646	ENDDO
1647	ENDDO
1648	ENDDO
1649	ENDDO
1650
1651	DEALLOCATE( rand_it )
1652
1653	!
1654	!-- Gather velocity seeds of full subdomain
1655	send_count = nzt_y_stg - nzb_y_stg + 1
1656	IF ( nzt_y_stg == nzt ) send_count = send_count + 1
1657
1658
1659	#if defined( __parallel )
1660	CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, &
1661	f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, &
1662	id, comm1dy, ierr )
1663	#else
1664	f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg)
1665	#endif
1666
1667
1668	END SUBROUTINE stg_generate_seed_xz
1669
1670	END MODULE synthetic_turbulence_generator_mod

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