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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 2903

Last change on this file since 2903 was 2894, checked in by Giersch, 7 years ago
Reading/Writing? data in case of restart runs revised
Property svn:keywords set to `Id`
File size: 35.4 KB

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1	!> @synthetic_turbulence_generator_mod.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: synthetic_turbulence_generator_mod.f90 2894 2018-03-15 09:17:58Z hellstea $
27	! variable named found has been introduced for checking if restart data was found,
28	! reading of restart strings has been moved completely to read_restart_data_mod,
29	! redundant skipping function has been removed, stg_read/write_restart_data
30	! have been renamed to stg_r/wrd_global, stg_rrd_global is called in
31	! read_restart_data_mod now, flag syn_turb_gen_prerun and marker *** end stg
32	! *** have been removed (Giersch), strings and their respective lengths are
33	! written out and read now in case of restart runs to get rid of prescribed
34	! character lengths (Giersch), CASE DEFAULT was added if restart data is read
35	!
36	! 2841 2018-02-27 15:02:57Z suehring
37	! Bugfix: wrong placement of include 'mpif.h' corrected
38	!
39	! 2836 2018-02-26 13:40:05Z Giersch
40	! The variables synthetic_turbulence_generator and
41	! use_synthetic_turbulence_generator have been abbreviated + syn_turb_gen_prerun
42	! flag is used to define if module related parameters were outputted as restart
43	! data
44	!
45	! 2716 2017-12-29 16:35:59Z kanani
46	! Corrected "Former revisions" section
47	!
48	! 2696 2017-12-14 17:12:51Z kanani
49	! Change in file header (GPL part)
50	!
51	! 2669 2017-12-06 16:03:27Z raasch
52	! unit number for file containing turbulence generator data changed to 90
53	! bugfix: preprocessor directives added for MPI specific code
54	!
55	! 2576 2017-10-24 13:49:46Z Giersch
56	! Definition of a new function called stg_skip_global to skip module
57	! parameters during reading restart data
58	!
59	! 2563 2017-10-19 15:36:10Z Giersch
60	! stg_read_restart_data is called in stg_parin in the case of a restart run
61	!
62	! 2259 2017-06-08 09:09:11Z gronemeier
63	! Initial revision
64	!
65	!
66	!
67	! Authors:
68	! --------
69	! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge
70	!
71	!
72	! Description:
73	! ------------
74	!> The module generates turbulence at the inflow boundary based on a method by
75	!> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux
76	!> correction by Kim et al. (2013).
77	!> The turbulence is correlated based on length scales in y- and z-direction and
78	!> a time scale for each velocity component. The profiles of length and time
79	!> scales, mean u, v, w, e and pt, and all components of the Reynolds stress
80	!> tensor are read from file STG_PROFILES.
81	!>
82	!> @todo test restart
83	!> enable cyclic_fill
84	!> implement turbulence generation for e and pt
85	!> @note <Enter notes on the module>
86	!> @bug Height information from input file is not used. Profiles from input
87	!> must match with current PALM grid.
88	!> Transformation of length scales to number of gridpoints does not
89	!> consider grid stretching.
90	!> In case of restart, velocity seeds differ from precursor run if a11,
91	!> a22, or a33 are zero.
92	!------------------------------------------------------------------------------!
93	MODULE synthetic_turbulence_generator_mod
94
95
96	USE arrays_3d, &
97	ONLY: mean_inflow_profiles, u, v, w
98
99	USE constants, &
100	ONLY: pi
101
102	USE control_parameters, &
103	ONLY: initializing_actions, message_string, &
104	syn_turb_gen
105
106	USE cpulog, &
107	ONLY: cpu_log, log_point, log_point_s
108
109	USE indices, &
110	ONLY: nbgp, nzb, nzt, nyng, nysg
111
112	USE kinds
113
114	#if !defined( __mpifh )
115	USE MPI
116	#endif
117
118	USE pegrid, &
119	ONLY: comm1dx, comm1dy, comm2d, id_inflow, ierr, myidx, pdims
120
121	USE transpose_indices, &
122	ONLY: nzb_x, nzt_x
123
124
125	IMPLICIT NONE
126
127	#if defined( __mpifh )
128	INCLUDE "mpif.h"
129	#endif
130
131	LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main
132	LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator
133
134	INTEGER(iwp) :: stg_type_yz !< MPI type for full z range
135	INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range
136	INTEGER(iwp) :: merg !< maximum length scale (in gp)
137	INTEGER(iwp) :: mergp !< merg + nbgp
138
139	REAL(wp) :: mc_factor !< mass flux correction factor
140
141	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs !< displacement for MPI_GATHERV
142	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count !< receive count for MPI_GATHERV
143	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp)
144	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp)
145	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp)
146	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp)
147	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp)
148	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp)
149
150	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator
151
152	REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation
153	REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation
154	REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation
155	REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation
156	REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation
157	REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation
158	REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u
159	REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v
160	REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w
161
162	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction
163	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction
164	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction
165	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction
166	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction
167	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction
168	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu !< velocity seed for u
169	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo !< velocity seed for u with new random number
170	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv !< velocity seed for v
171	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo !< velocity seed for v with new random number
172	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw !< velocity seed for w
173	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo !< velocity seed for w with new random number
174
175
176	!
177	!-- PALM interfaces:
178	!-- Input parameter checks to be done in check_parameters
179	INTERFACE stg_check_parameters
180	MODULE PROCEDURE stg_check_parameters
181	END INTERFACE stg_check_parameters
182
183	!
184	!-- Calculate filter functions
185	INTERFACE stg_filter_func
186	MODULE PROCEDURE stg_filter_func
187	END INTERFACE stg_filter_func
188
189	!
190	!-- Generate velocity seeds
191	INTERFACE stg_generate_seed_yz
192	MODULE PROCEDURE stg_generate_seed_yz
193	END INTERFACE stg_generate_seed_yz
194
195	!
196	!-- Output of information to the header file
197	INTERFACE stg_header
198	MODULE PROCEDURE stg_header
199	END INTERFACE stg_header
200
201	!
202	!-- Initialization actions
203	INTERFACE stg_init
204	MODULE PROCEDURE stg_init
205	END INTERFACE stg_init
206
207	!
208	!-- Main procedure of synth. turb. gen.
209	INTERFACE stg_main
210	MODULE PROCEDURE stg_main
211	END INTERFACE stg_main
212
213	!
214	!-- Reading of NAMELIST parameters
215	INTERFACE stg_parin
216	MODULE PROCEDURE stg_parin
217	END INTERFACE stg_parin
218
219	!
220	!-- Reading of parameters for restart runs
221	INTERFACE stg_rrd_global
222	MODULE PROCEDURE stg_rrd_global
223	END INTERFACE stg_rrd_global
224
225	!
226	!-- Writing of binary output for restart runs
227	INTERFACE stg_wrd_global
228	MODULE PROCEDURE stg_wrd_global
229	END INTERFACE stg_wrd_global
230
231	SAVE
232
233	PRIVATE
234
235	!
236	!-- Public interfaces
237	PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, &
238	stg_wrd_global, stg_rrd_global
239
240	!
241	!-- Public variables
242	PUBLIC use_syn_turb_gen
243
244
245	CONTAINS
246
247
248	!------------------------------------------------------------------------------!
249	! Description:
250	! ------------
251	!> Check parameters routine for synthetic turbulence generator
252	!------------------------------------------------------------------------------!
253	SUBROUTINE stg_check_parameters
254
255
256	USE control_parameters, &
257	ONLY: bc_lr, bc_ns, turbulent_inflow
258
259
260	IMPLICIT NONE
261
262	IF ( use_syn_turb_gen ) THEN
263
264	IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 .AND. &
265	INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN
266	message_string = 'Using synthetic turbulence generator ' // &
267	'requires &initializing_actions = ' // &
268	'"set_constant_profiles" or "read_restart_data"'
269	CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 )
270	ENDIF
271
272	IF ( bc_lr /= 'dirichlet/radiation' ) THEN
273	message_string = 'Using synthetic turbulence generator ' // &
274	'requires &bc_lr = "dirichlet/radiation"'
275	CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 )
276	ENDIF
277	IF ( bc_ns /= 'cyclic' ) THEN
278	message_string = 'Using synthetic turbulence generator ' // &
279	'requires &bc_ns = "cyclic"'
280	CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 )
281	ENDIF
282	IF ( turbulent_inflow ) THEN
283	message_string = 'Using synthetic turbulence generator ' // &
284	'in combination &with turbulent_inflow = .T. ' // &
285	'is not allowed'
286	CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 )
287	ENDIF
288
289	ENDIF
290
291	END SUBROUTINE stg_check_parameters
292
293
294	!------------------------------------------------------------------------------!
295	! Description:
296	! ------------
297	!> Header output for synthetic turbulence generator
298	!------------------------------------------------------------------------------!
299	SUBROUTINE stg_header ( io )
300
301
302	IMPLICIT NONE
303
304	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
305
306	!
307	!-- Write synthetic turbulence generator Header
308	WRITE( io, 1 )
309	IF ( use_syn_turb_gen ) THEN
310	WRITE( io, 2 )
311	ELSE
312	WRITE( io, 3 )
313	ENDIF
314
315	1 FORMAT (//' Synthetic turbulence generator information:'/ &
316	' ------------------------------------------'/)
317	2 FORMAT (' synthetic turbulence generator switched on')
318	3 FORMAT (' synthetic turbulence generator switched off')
319
320	END SUBROUTINE stg_header
321
322
323	!------------------------------------------------------------------------------!
324	! Description:
325	! ------------
326	!> Initialization of the synthetic turbulence generator
327	!------------------------------------------------------------------------------!
328	SUBROUTINE stg_init
329
330
331	USE arrays_3d, &
332	ONLY: u_init, v_init
333
334	USE control_parameters, &
335	ONLY: coupling_char, dz, e_init
336
337	USE grid_variables, &
338	ONLY: ddy
339
340
341	IMPLICIT NONE
342
343	#if defined( __parallel )
344	INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type
345	INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable
346	#endif
347
348	INTEGER(iwp) :: j !> loop index
349	INTEGER(iwp) :: k !< index
350	INTEGER(iwp) :: newtype !< dummy MPI type
351	INTEGER(iwp) :: realsize !< size of REAL variables
352	INTEGER(iwp) :: nseed !< dimension of random number seed
353	INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator
354
355	!
356	!-- Dummy variables used for reading profiles
357	REAL(wp) :: d1 !< u profile
358	REAL(wp) :: d2 !< v profile
359	REAL(wp) :: d3 !< w profile
360	REAL(wp) :: d5 !< e profile
361	REAL(wp) :: d11 !< vertical interpolation for a11
362	REAL(wp) :: d21 !< vertical interpolation for a21
363	REAL(wp) :: d22 !< vertical interpolation for a22
364	REAL(wp) :: luy !< length scale for u in y direction
365	REAL(wp) :: luz !< length scale for u in z direction
366	REAL(wp) :: lvy !< length scale for v in y direction
367	REAL(wp) :: lvz !< length scale for v in z direction
368	REAL(wp) :: lwy !< length scale for w in y direction
369	REAL(wp) :: lwz !< length scale for w in z direction
370	REAL(wp) :: zz !< height
371
372	REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter
373	REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter
374	REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter
375	REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter
376	REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter
377	REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter
378
379
380	#if defined( __parallel )
381	CALL MPI_BARRIER( comm2d, ierr )
382	#endif
383
384	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
385
386	IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) &
387	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
388
389	ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), &
390	a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), &
391	nuy(nzb:nzt+1), nuz(nzb:nzt+1), nvy(nzb:nzt+1), &
392	nvz(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), &
393	tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) )
394
395	#if defined( __parallel )
396	!
397	!-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted
398	!-- velocity seeds
399	CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr )
400	extent = 1 * realsize
401
402	! stg_type_yz: yz-slice with vertical bounds nzb:nzt+1
403	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], &
404	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
405	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr )
406	CALL MPI_TYPE_COMMIT( stg_type_yz, ierr )
407	CALL MPI_TYPE_FREE( newtype, ierr )
408
409	! stg_type_yz_small: yz-slice with vertical bounds nzb_x:nzt_x+1
410	CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x-nzb_x+2,nyng-nysg+1], &
411	[1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr )
412	CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr )
413	CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr )
414	CALL MPI_TYPE_FREE( newtype, ierr )
415
416	! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz
417	ALLOCATE( recv_count(pdims(1)), displs(pdims(1)) )
418
419	recv_count = nzt_x-nzb_x + 1
420	recv_count(pdims(1)) = recv_count(pdims(1)) + 1
421
422	DO j = 1, pdims(1)
423	displs(j) = 0 + (nzt_x-nzb_x+1) * (j-1)
424	ENDDO
425	#endif
426
427	!
428	!-- Define seed of random number
429	CALL RANDOM_SEED()
430	CALL RANDOM_SEED( size=nseed )
431	ALLOCATE( seed(1:nseed) )
432	DO j = 1, nseed
433	seed(j) = startseed + j
434	ENDDO
435	CALL RANDOM_SEED(put=seed)
436
437	!
438	!-- Read inflow profile
439	!-- Height levels of profiles in input profile is as follows:
440	!-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5
441	!-- zw: lwy, lwz, tw, r31, r32, r33, d3
442	!-- WARNING: zz is not used at the moment
443	OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', &
444	FORM='FORMATTED')
445
446	! Skip header
447	READ( 90, * )
448
449	DO k = nzb, nzt+1
450	READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), &
451	r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), &
452	d1, d2, d3, d5
453
454	!
455	!-- Convert length scales from meter to number of grid points
456	nuy(k) = INT( luy * ddy )
457	nuz(k) = INT( luz / dz )
458	nvy(k) = INT( lvy * ddy )
459	nvz(k) = INT( lvz / dz )
460	nwy(k) = INT( lwy * ddy )
461	nwz(k) = INT( lwz / dz )
462
463	!
464	!-- Save Mean inflow profiles
465	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
466	mean_inflow_profiles(k,1) = d1
467	mean_inflow_profiles(k,2) = d2
468	! mean_inflow_profiles(k,4) = d4
469	mean_inflow_profiles(k,5) = d5
470	ENDIF
471	ENDDO
472
473	CLOSE( 90 )
474
475	!
476	!-- Assign initial profiles
477	u_init = mean_inflow_profiles(:,1)
478	v_init = mean_inflow_profiles(:,2)
479	! pt_init = mean_inflow_profiles(:,4)
480	e_init = MAXVAL( mean_inflow_profiles(:,5) )
481
482	!
483	!-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation)
484	DO k = nzb, nzt+1
485	IF ( r11(k) > 0.0_wp ) THEN
486	a11(k) = SQRT( r11(k) )
487	a21(k) = r21(k) / a11(k)
488	ELSE
489	a11(k) = 0.0_wp
490	a21(k) = 0.0_wp
491	ENDIF
492
493	a22(k) = r22(k) - a21(k)**2
494	IF ( a22(k) > 0.0_wp ) THEN
495	a22(k) = SQRT( a22(k) )
496	a32(k) = ( r32(k) - a21(k) * a31(k) ) / a22(k)
497	ELSE
498	a22(k) = 0.0_wp
499	a32(k) = 0.0_wp
500	ENDIF
501
502	!
503	!-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11,
504	!-- d21, d22) because of different vertical grid
505	IF ( k .le. nzt ) THEN
506	d11 = 0.5_wp * ( r11(k) + r11(k+1) )
507	IF ( d11 > 0.0_wp ) THEN
508	d11 = SQRT( d11 )
509	d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11
510	a31(k) = r31(k) / d11
511	ELSE
512	d21 = 0.0_wp
513	a31(k) = 0.0_wp
514	ENDIF
515
516	d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2
517	IF ( d22 > 0.0_wp ) THEN
518	a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 )
519	ELSE
520	a32(k) = 0.0_wp
521	ENDIF
522
523	a33(k) = r33(k) - a31(k) 2 - a32(k) 2
524	IF ( a33(k) > 0.0_wp ) THEN
525	a33(k) = SQRT( a33(k) )
526	ELSE
527	a33(k) = 0.0_wp
528	ENDIF
529	ELSE
530	a31(k) = a31(k-1)
531	a32(k) = a32(k-1)
532	a33(k) = a33(k-1)
533	ENDIF
534
535	ENDDO
536
537	!
538	!-- Define the size of the filter functions and allocate them.
539	merg = 0
540
541	! arrays must be large enough to cover the largest length scale
542	DO k = nzb, nzt+1
543	j = MAX( ABS(nuy(k)), ABS(nuz(k)), &
544	ABS(nvy(k)), ABS(nvz(k)), &
545	ABS(nwy(k)), ABS(nwz(k)) )
546	IF ( j > merg ) merg = j
547	ENDDO
548
549	merg = 2 * merg
550	mergp = merg + nbgp
551
552	ALLOCATE ( buy(-merg:merg,nzb:nzt+1), buz(-merg:merg,nzb:nzt+1), &
553	bvy(-merg:merg,nzb:nzt+1), bvz(-merg:merg,nzb:nzt+1), &
554	bwy(-merg:merg,nzb:nzt+1), bwz(-merg:merg,nzb:nzt+1) )
555
556	!
557	!-- Allocate velocity seeds
558	ALLOCATE ( fu( nzb:nzt+1,nysg:nyng), fuo(nzb:nzt+1,nysg:nyng), &
559	fv( nzb:nzt+1,nysg:nyng), fvo(nzb:nzt+1,nysg:nyng), &
560	fw( nzb:nzt+1,nysg:nyng), fwo(nzb:nzt+1,nysg:nyng) )
561
562	fu = 0._wp
563	fuo = 0._wp
564	fv = 0._wp
565	fvo = 0._wp
566	fw = 0._wp
567	fwo = 0._wp
568
569	!
570	!-- Create filter functions
571	CALL stg_filter_func( nuy, buy ) !filter uy
572	CALL stg_filter_func( nuz, buz ) !filter uz
573	CALL stg_filter_func( nvy, bvy ) !filter vy
574	CALL stg_filter_func( nvz, bvz ) !filter vz
575	CALL stg_filter_func( nwy, bwy ) !filter wy
576	CALL stg_filter_func( nwz, bwz ) !filter wz
577
578	#if defined( __parallel )
579	CALL MPI_BARRIER( comm2d, ierr )
580	#endif
581
582	!
583	!-- In case of restart, calculate velocity seeds fu, fv, fw from former
584	! time step.
585	! Bug: fu, fv, fw are different in those heights where a11, a22, a33
586	! are 0 compared to the prerun. This is mostly for k=nzt+1.
587	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
588	IF ( myidx == id_inflow ) THEN
589	DO j = nysg, nyng
590	DO k = nzb, nzt+1
591
592	IF ( a11(k) .NE. 0._wp ) THEN
593	fu(k,j) = ( u(k,j,-1) / mc_factor - &
594	mean_inflow_profiles(k,1) ) / a11(k)
595	ELSE
596	fu(k,j) = 0._wp
597	ENDIF
598
599	IF ( a22(k) .NE. 0._wp ) THEN
600	fv(k,j) = ( v(k,j,-1) / mc_factor - a21(k) * fu(k,j) - &
601	mean_inflow_profiles(k,2) ) / a22(k)
602	ELSE
603	fv(k,j) = 0._wp
604	ENDIF
605
606	IF ( a33(k) .NE. 0._wp ) THEN
607	fw(k,j) = ( w(k,j,-1) / mc_factor - a31(k) * fu(k,j) - &
608	a32(k) * fv(k,j) ) / a33(k)
609	ELSE
610	fw = 0._wp
611	ENDIF
612
613	ENDDO
614	ENDDO
615	ENDIF
616	ENDIF
617
618	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
619
620	END SUBROUTINE stg_init
621
622
623	!------------------------------------------------------------------------------!
624	! Description:
625	! ------------
626	!> Calculate filter function bxx from length scale nxx following Eg.9 and 10
627	!> (Xie and Castro, 2008)
628	!------------------------------------------------------------------------------!
629	SUBROUTINE stg_filter_func( nxx, bxx )
630
631
632	IMPLICIT NONE
633
634	INTEGER(iwp) :: k !< loop index
635	INTEGER(iwp) :: n_k !< length scale nXX in height k
636	INTEGER(iwp) :: n_k2 !< n_k * 2
637	INTEGER(iwp) :: nf !< index for length scales
638
639	REAL(wp) :: bdenom !< denominator for filter functions bXX
640	REAL(wp) :: qsi = 1.0_wp !< minimization factor
641
642	INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp)
643
644	REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function
645
646
647	bxx = 0.0_wp
648
649	DO k = nzb, nzt+1
650	bdenom = 0.0_wp
651	n_k = nxx(k)
652	IF ( n_k /= 0 ) THEN
653	n_k2 = n_k * 2
654
655	!
656	!-- ( Eq.10 )^2
657	DO nf = -n_k2, n_k2
658	bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2
659	ENDDO
660
661	!
662	!-- ( Eq.9 )
663	bdenom = SQRT( bdenom )
664	DO nf = -n_k2, n_k2
665	bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom
666	ENDDO
667	ENDIF
668	ENDDO
669
670	END SUBROUTINE stg_filter_func
671
672
673	!------------------------------------------------------------------------------!
674	! Description:
675	! ------------
676	!> Parin for &stg_par for synthetic turbulence generator
677	!------------------------------------------------------------------------------!
678	SUBROUTINE stg_parin
679
680
681	IMPLICIT NONE
682
683	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
684
685
686	NAMELIST /stg_par/ use_syn_turb_gen
687
688	line = ' '
689
690	!
691	!-- Try to find stg package
692	REWIND ( 11 )
693	line = ' '
694	DO WHILE ( INDEX( line, '&stg_par' ) == 0 )
695	READ ( 11, '(A)', END=10 ) line
696	ENDDO
697	BACKSPACE ( 11 )
698
699	!
700	!-- Read namelist
701	READ ( 11, stg_par )
702
703	!
704	!-- Set flag that indicates that the synthetic turbulence generator is switched
705	!-- on
706	syn_turb_gen = .TRUE.
707
708
709	10 CONTINUE
710
711	END SUBROUTINE stg_parin
712
713
714	!------------------------------------------------------------------------------!
715	! Description:
716	! ------------
717	!> This routine reads the respective restart data.
718	!------------------------------------------------------------------------------!
719	SUBROUTINE stg_rrd_global( found )
720
721
722	USE control_parameters, &
723	ONLY: length, restart_string
724
725
726	IMPLICIT NONE
727
728	LOGICAL, INTENT(OUT) :: found
729
730
731	found = .TRUE.
732
733
734	SELECT CASE ( restart_string(1:length) )
735
736	CASE ( 'mc_factor' )
737	READ ( 13 ) mc_factor
738	CASE ( 'use_syn_turb_gen' )
739	READ ( 13 ) use_syn_turb_gen
740
741	CASE DEFAULT
742
743	found = .FALSE.
744
745	END SELECT
746
747
748	END SUBROUTINE stg_rrd_global
749
750
751	!------------------------------------------------------------------------------!
752	! Description:
753	! ------------
754	!> This routine writes the respective restart data.
755	!------------------------------------------------------------------------------!
756	SUBROUTINE stg_wrd_global
757
758
759	IMPLICIT NONE
760
761
762	CALL wrd_write_string( 'mc_factor' )
763	WRITE ( 14 ) mc_factor
764
765	CALL wrd_write_string( 'use_syn_turb_gen' )
766	WRITE ( 14 ) use_syn_turb_gen
767
768
769	END SUBROUTINE stg_wrd_global
770
771
772	!------------------------------------------------------------------------------!
773	! Description:
774	! ------------
775	!> Create turbulent inflow fields for u, v, w with prescribed length scales and
776	!> Reynolds stress tensor after a method of Xie and Castro (2008), modified
777	!> following suggestions of Kim et al. (2013), and using a Lund rotation
778	!> (Lund, 1998).
779	!------------------------------------------------------------------------------!
780	SUBROUTINE stg_main
781
782
783	USE arrays_3d, &
784	ONLY: dzw
785
786	USE control_parameters, &
787	ONLY: dt_3d, intermediate_timestep_count, simulated_time, &
788	volume_flow_initial
789
790	USE indices, &
791	ONLY: nyn, nys
792
793	USE statistics, &
794	ONLY: weight_substep
795
796
797	IMPLICIT NONE
798
799	INTEGER(iwp) :: j !< loop index in y-direction
800	INTEGER(iwp) :: k !< loop index in z-direction
801
802	REAL(wp) :: dt_stg !< wheighted subtimestep
803	REAL(wp) :: mc_factor_l !< local mass flux correction factor
804
805	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5,nbgp) :: inflow_dist !< disturbance for inflow profiles
806
807
808	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' )
809
810	!
811	!-- Calculate time step which is needed for filter functions
812	dt_stg = dt_3d * weight_substep(intermediate_timestep_count)
813
814	!
815	!-- Initial value of fu, fv, fw
816	IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN
817	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu )
818	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv )
819	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw )
820	velocity_seed_initialized = .TRUE.
821	ENDIF
822	!
823	!-- New set of fu, fv, fw
824	CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo )
825	CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo )
826	CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo )
827
828	IF ( myidx == id_inflow ) THEN
829
830	DO j = nysg, nyng
831	DO k = nzb, nzt + 1
832	!
833	!-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008)
834	IF ( tu(k) == 0.0_wp ) THEN
835	fu(k,j) = fuo(k,j)
836	ELSE
837	fu(k,j) = fu(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + &
838	fuo(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) )
839	ENDIF
840
841	IF ( tv(k) == 0.0_wp ) THEN
842	fv(k,j) = fvo(k,j)
843	ELSE
844	fv(k,j) = fv(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + &
845	fvo(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) )
846	ENDIF
847
848	IF ( tw(k) == 0.0_wp ) THEN
849	fw(k,j) = fwo(k,j)
850	ELSE
851	fw(k,j) = fw(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + &
852	fwo(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) )
853	ENDIF
854	!
855	!-- Lund rotation following Eq. 17 in Xie and Castro (2008).
856	!-- Additional factors are added to improve the variance of v and w
857	IF( k == 0 ) THEN
858	inflow_dist(k,j,1,1) = 0.0_wp
859	inflow_dist(k,j,2,1) = 0.0_wp
860	inflow_dist(k,j,3,1) = 0.0_wp
861	inflow_dist(k,j,4,1) = 0.0_wp
862	inflow_dist(k,j,5,1) = 0.0_wp
863	ELSE
864	inflow_dist(k,j,1,1) = a11(k) * fu(k,j)
865	!experimental test of 1.2
866	inflow_dist(k,j,2,1) = ( SQRT( a22(k) / MAXVAL(a22) ) &
867	* 1.2_wp ) &
868	* ( a21(k) * fu(k,j) &
869	+ a22(k) * fv(k,j) )
870	inflow_dist(k,j,3,1) = ( SQRT(a33(k) / MAXVAL(a33) ) &
871	* 1.3_wp ) &
872	* ( a31(k) * fu(k,j) &
873	+ a32(k) * fv(k,j) &
874	+ a33(k) * fw(k,j) )
875	! Calculation for pt and e not yet implemented
876	inflow_dist(k,j,4,1) = 0.0_wp
877	inflow_dist(k,j,5,1) = 0.0_wp
878	ENDIF
879
880	ENDDO
881	ENDDO
882
883	!
884	!-- Mass flux correction following Kim et al. (2013)
885	!-- This correction factor insures that the mass flux is preserved at the
886	!-- inflow boundary
887	mc_factor_l = 0.0_wp
888	mc_factor = 0.0_wp
889	DO j = nys, nyn
890	DO k = nzb+1, nzt
891	mc_factor_l = mc_factor_l + dzw(k) * &
892	( mean_inflow_profiles(k,1) + inflow_dist(k,j,1,1) )
893	ENDDO
894	ENDDO
895
896	#if defined( __parallel )
897	CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, &
898	1, MPI_REAL, MPI_SUM, comm1dy, ierr )
899	#else
900	mc_factor = mc_factor_l
901	#endif
902
903	mc_factor = volume_flow_initial(1) / mc_factor
904
905	!
906	!-- Add disturbance at the inflow
907	DO j = nysg, nyng
908	DO k = nzb, nzt+1
909	u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + &
910	inflow_dist(k,j,1,1) ) * mc_factor
911	v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + &
912	inflow_dist(k,j,2,1) ) * mc_factor
913	w(k,j,-nbgp:-1) = inflow_dist(k,j,3,1) * mc_factor
914	ENDDO
915	ENDDO
916
917	ENDIF
918
919	CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' )
920
921	END SUBROUTINE stg_main
922
923
924	!------------------------------------------------------------------------------!
925	! Description:
926	! ------------
927	!> Generate a set of random number rand_it wich is equal on each PE
928	!> and calculate the velocity seed f_n.
929	!> f_n is splitted in vertical direction by the number of PEs in x-direction and
930	!> and each PE calculates a vertical subsection of f_n. At the the end, all
931	!> parts are collected to form the full array.
932	!------------------------------------------------------------------------------!
933	SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n )
934
935
936	USE indices, &
937	ONLY: ny
938
939
940	IMPLICIT NONE
941
942	INTEGER(iwp) :: j !< loop index in y-direction
943	INTEGER(iwp) :: jj !< loop index in y-direction
944	INTEGER(iwp) :: k !< loop index in z-direction
945	INTEGER(iwp) :: kk !< loop index in z-direction
946	INTEGER(iwp) :: send_count !< send count for MPI_GATHERV
947
948	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction
949	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction
950	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2
951	INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2
952
953	REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice
954	REAL(wp) :: rand_av !< average of random number
955	REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number
956
957	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir
958	REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir
959	REAL(wp), DIMENSION(nzb_x:nzt_x+1,nysg:nyng) :: f_n_l !< local velocity seed
960	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed
961	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number
962
963
964	!
965	!-- Generate random numbers using a seed generated in stg_init.
966	!-- The set of random numbers are modified to have an average of 0 and
967	!-- unit variance.
968	ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) )
969
970	rand_av = 0.0_wp
971	rand_sigma_inv = 0.0_wp
972	nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp )
973
974	DO j = 0, ny
975	DO k = nzb, nzt+1
976	CALL RANDOM_NUMBER( rand_it(k,j) )
977	rand_av = rand_av + rand_it(k,j)
978	ENDDO
979	ENDDO
980
981	rand_av = rand_av * nyz_inv
982
983	DO j = 0, ny
984	DO k = nzb, nzt+1
985	rand_it(k,j) = rand_it(k,j) - rand_av
986	rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2
987	ENDDO
988	ENDDO
989
990	rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv)
991
992	DO j = 0, ny
993	DO k = nzb, nzt+1
994	rand_it(k,j) = rand_it(k,j) * rand_sigma_inv
995	ENDDO
996	ENDDO
997
998	!
999	!-- Periodic fill of random number in space
1000	DO j = 0, ny
1001	DO k = 1, mergp
1002	rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin
1003	rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin
1004	ENDDO
1005	ENDDO
1006	DO j = 1, mergp
1007	DO k = nzb-mergp, nzt+1+mergp
1008	rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin
1009	rand_it(k,ny+j) = rand_it(k, j-1) ! north margin
1010	ENDDO
1011	ENDDO
1012
1013	!
1014	!-- Generate velocity seed following Eq.6 of Xie and Castro (2008)
1015	n_y2 = n_y * 2
1016	n_z2 = n_z * 2
1017	f_n_l = 0.0_wp
1018
1019	DO j = nysg, nyng
1020	DO k = nzb_x, nzt_x+1
1021	DO jj = -n_y2(k), n_y2(k)
1022	DO kk = -n_z2(k), n_z2(k)
1023	f_n_l(k,j) = f_n_l(k,j) &
1024	+ b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj)
1025	ENDDO
1026	ENDDO
1027	ENDDO
1028	ENDDO
1029
1030	DEALLOCATE( rand_it )
1031
1032	!
1033	!-- Gather velocity seeds of full subdomain
1034	send_count = nzt_x - nzb_x + 1
1035	IF ( nzt_x == nzt ) send_count = send_count + 1
1036
1037	#if defined( __parallel )
1038	CALL MPI_GATHERV( f_n_l(nzb_x,nysg), send_count, stg_type_yz_small, &
1039	f_n(nzb+1,nysg), recv_count, displs, stg_type_yz, &
1040	id_inflow, comm1dx, ierr )
1041	#else
1042	f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x:nzt_x+1,nysg:nyng)
1043	#endif
1044
1045
1046	END SUBROUTINE stg_generate_seed_yz
1047
1048	END MODULE synthetic_turbulence_generator_mod

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