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source: palm/trunk/SOURCE/synthetic_turbulence_generator_mod.f90 @ 2564

Last change on this file since 2564 was 2563, checked in by Giersch, 7 years ago
Restart runs with the usage of the wind turbine model are possible now. Further small at reading/writing restart data
Property svn:keywords set to `Id`
File size: 34.2 KB

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

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