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source: palm/trunk/SOURCE/spectra_mod.f90 @ 2209

Last change on this file since 2209 was 2193, checked in by raasch, 7 years ago
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1	!> @file spectra_mod.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of PALM.
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 1997-2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 2193 2017-03-22 04:21:28Z kanani $
27	!
28	! 2192 2017-03-22 04:14:10Z raasch
29	! bugfix for index bounds of arrays spectrum_x and spectrum_y
30	!
31	! 2000 2016-08-20 18:09:15Z knoop
32	! Forced header and separation lines into 80 columns
33	!
34	! 1960 2016-07-12 16:34:24Z suehring
35	! Additional default spectra for passive scalar
36	!
37	! 1833 2016-04-07 14:23:03Z raasch
38	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
39	! here
40	!
41	! 1815 2016-04-06 13:49:59Z raasch
42	! bugfix: preprocessor directives included for the non-parallel case
43	!
44	! 1808 2016-04-05 19:44:00Z raasch
45	! MPI module used by default on all machines
46	!
47	! 1786 2016-03-08 05:49:27Z raasch
48	! routine is modularized, filename renamed from calc_spectra to spectrum,
49	! privious data module spectrum moved from modules.f90 to here,
50	! cpp-direktives for spectra removed, immediate return if no spectra levels are
51	! given
52	!
53	! 1682 2015-10-07 23:56:08Z knoop
54	! Code annotations made doxygen readable
55	!
56	! 1575 2015-03-27 09:56:27Z raasch
57	! adjustments for psolver-queries
58	!
59	! 1511 2014-12-16 15:54:16Z suehring
60	! Bugfix concerning spectra normalization
61	!
62	! 1431 2014-07-15 14:47:17Z suehring
63	! Wavenumber-integrated spectra coincide with respective variance.
64	!
65	! 1342 2014-03-26 17:04:47Z kanani
66	! REAL constants defined as wp-kinds
67	!
68	! 1324 2014-03-21 09:13:16Z suehring
69	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
70	!
71	! 1320 2014-03-20 08:40:49Z raasch
72	! ONLY-attribute added to USE-statements,
73	! kind-parameters added to all INTEGER and REAL declaration statements,
74	! kinds are defined in new module kinds,
75	! revision history before 2012 removed,
76	! comment fields (!:) to be used for variable explanations added to
77	! all variable declaration statements
78	!
79	! 1318 2014-03-17 13:35:16Z raasch
80	! module interfaces removed
81	!
82	! 1216 2013-08-26 09:31:42Z raasch
83	! resorting of array moved to separate routine resort_for_zx,
84	! one argument removed from the transpose_..d routines
85	!
86	! 1120 2013-04-05 15:11:35Z raasch
87	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
88	!
89	! 1036 2012-10-22 13:43:42Z raasch
90	! code put under GPL (PALM 3.9)
91	!
92	! 1003 2012-09-14 14:35:53Z raasch
93	! adjustment of array tend for cases with unequal subdomain sizes removed
94	!
95	! Revision 1.1 2001/01/05 15:08:07 raasch
96	! Initial revision
97	!
98	!
99	! Description:
100	! ------------
101	!> Calculate horizontal spectra along x and y.
102	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
103	!> case the gridpoint number along z still depends on the PE number
104	!> because transpose_xz has to be used (and possibly also
105	!> transpose_zyd needs modification).
106	!------------------------------------------------------------------------------!
107	MODULE spectra_mod
108
109	USE kinds
110
111	PRIVATE
112
113	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
114	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
115
116	INTEGER(iwp) :: average_count_sp = 0
117	INTEGER(iwp) :: dosp_time_count = 0
118	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
119
120	INTEGER(iwp) :: comp_spectra_level(100) = 999999
121
122	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
123	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
124
125	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
126	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
127	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
128
129	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
130
131	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
132
133	SAVE
134
135	INTERFACE calc_spectra
136	MODULE PROCEDURE calc_spectra
137	END INTERFACE calc_spectra
138
139	INTERFACE preprocess_spectra
140	MODULE PROCEDURE preprocess_spectra
141	END INTERFACE preprocess_spectra
142
143	INTERFACE calc_spectra_x
144	MODULE PROCEDURE calc_spectra_x
145	END INTERFACE calc_spectra_x
146
147	INTERFACE calc_spectra_y
148	MODULE PROCEDURE calc_spectra_y
149	END INTERFACE calc_spectra_y
150
151	INTERFACE spectra_check_parameters
152	MODULE PROCEDURE spectra_check_parameters
153	END INTERFACE spectra_check_parameters
154
155	INTERFACE spectra_header
156	MODULE PROCEDURE spectra_header
157	END INTERFACE spectra_header
158
159	INTERFACE spectra_init
160	MODULE PROCEDURE spectra_init
161	END INTERFACE spectra_init
162
163	INTERFACE spectra_parin
164	MODULE PROCEDURE spectra_parin
165	END INTERFACE spectra_parin
166
167	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
168	calculate_spectra, comp_spectra_level, data_output_sp, &
169	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
170	skip_time_dosp, spectra_check_parameters, spectra_direction, &
171	spectra_header, spectra_init, spectra_parin, spectrum_x, &
172	spectrum_y, var_d
173
174
175	CONTAINS
176
177	!------------------------------------------------------------------------------!
178	! Description:
179	! ------------
180	!> Parin for &spectra_par for calculating spectra
181	!------------------------------------------------------------------------------!
182	SUBROUTINE spectra_parin
183
184	USE control_parameters, &
185	ONLY: dt_data_output
186
187	IMPLICIT NONE
188
189	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
190	!< line of the parameter file
191
192	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
193	data_output_sp, dt_dosp, skip_time_dosp, &
194	spectra_direction
195
196
197	!
198	!-- Position the namelist-file at the beginning (it was already opened in
199	!-- parin), search for the namelist-group of the package and position the
200	!-- file at this line.
201	line = ' '
202
203	!
204	!-- Try to find the spectra package
205	REWIND ( 11 )
206	line = ' '
207	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
208	READ ( 11, '(A)', END=10 ) line
209	ENDDO
210	BACKSPACE ( 11 )
211
212	!
213	!-- Read namelist
214	READ ( 11, spectra_par )
215
216	!
217	!-- Default setting of dt_dosp here (instead of check_parameters), because
218	!-- its current value is needed in init_pegrid
219	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
220
221	!
222	!-- Set general switch that spectra shall be calculated
223	calculate_spectra = .TRUE.
224
225	10 CONTINUE
226
227	END SUBROUTINE spectra_parin
228
229
230
231	!------------------------------------------------------------------------------!
232	! Description:
233	! ------------
234	!> Initialization of spectra related variables
235	!------------------------------------------------------------------------------!
236	SUBROUTINE spectra_init
237
238	USE indices, &
239	ONLY: nx, ny, nzb, nzt
240
241	IMPLICIT NONE
242
243	IF ( spectra_initialized ) RETURN
244
245	IF ( dt_dosp /= 9999999.9_wp ) THEN
246	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ), &
247	spectrum_y( 1:ny/2, 1:100, 1:10 ) )
248	spectrum_x = 0.0_wp
249	spectrum_y = 0.0_wp
250
251	ALLOCATE( var_d(nzb:nzt+1) )
252	var_d = 0.0_wp
253	ENDIF
254
255	spectra_initialized = .TRUE.
256
257	END SUBROUTINE spectra_init
258
259
260
261	!------------------------------------------------------------------------------!
262	! Description:
263	! ------------
264	!> Check spectra related quantities
265	!------------------------------------------------------------------------------!
266	SUBROUTINE spectra_check_parameters
267
268	USE control_parameters, &
269	ONLY: averaging_interval, message_string, skip_time_data_output
270
271	IMPLICIT NONE
272
273	!
274	!-- Check the average interval
275	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
276	averaging_interval_sp = averaging_interval
277	ENDIF
278
279	IF ( averaging_interval_sp > dt_dosp ) THEN
280	WRITE( message_string, * ) 'averaging_interval_sp = ', &
281	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
282	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
283	ENDIF
284
285	!
286	!-- Set the default skip time interval for data output, if necessary
287	IF ( skip_time_dosp == 9999999.9_wp ) &
288	skip_time_dosp = skip_time_data_output
289
290	END SUBROUTINE spectra_check_parameters
291
292
293
294	!------------------------------------------------------------------------------!
295	! Description:
296	! ------------
297	!> Header output for spectra
298	!>
299	!> @todo Output of netcdf data format and compression level
300	!------------------------------------------------------------------------------!
301	SUBROUTINE spectra_header ( io )
302
303	USE control_parameters, &
304	ONLY: dt_averaging_input_pr
305
306	! USE netcdf_interface, &
307	! ONLY: netcdf_data_format_string, netcdf_deflate
308
309	IMPLICIT NONE
310
311	CHARACTER (LEN=40) :: output_format !< internal string
312
313	INTEGER(iwp) :: i !< internal counter
314	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
315
316	!
317	!-- Spectra output
318	IF ( dt_dosp /= 9999999.9_wp ) THEN
319	WRITE ( io, 1 )
320
321	! output_format = netcdf_data_format_string
322	! IF ( netcdf_deflate == 0 ) THEN
323	! WRITE ( io, 2 ) output_format
324	! ELSE
325	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
326	! ENDIF
327	WRITE ( io, 2 ) 'see profiles or other quantities'
328	WRITE ( io, 4 ) dt_dosp
329	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
330	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
331	( spectra_direction(i), i = 1,10 ), &
332	( comp_spectra_level(i), i = 1,100 ), &
333	averaging_interval_sp, dt_averaging_input_pr
334	ENDIF
335
336	1 FORMAT (' Spectra:')
337	2 FORMAT (' Output format: ',A/)
338	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
339	4 FORMAT (' Output every ',F7.1,' s'/)
340	5 FORMAT (' No output during initial ',F8.2,' s')
341	6 FORMAT (' Arrays: ', 10(A5,',')/ &
342	' Directions: ', 10(A5,',')/ &
343	' height levels k = ', 20(I3,',')/ &
344	' ', 20(I3,',')/ &
345	' ', 20(I3,',')/ &
346	' ', 20(I3,',')/ &
347	' ', 19(I3,','),I3,'.'/ &
348	' Time averaged over ', F7.1, ' s,' / &
349	' Profiles for the time averaging are taken every ', &
350	F6.1,' s')
351
352	END SUBROUTINE spectra_header
353
354
355
356	SUBROUTINE calc_spectra
357
358	USE arrays_3d, &
359	ONLY: d, tend
360
361	USE control_parameters, &
362	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
363
364	USE cpulog, &
365	ONLY: cpu_log, log_point
366
367	USE fft_xy, &
368	ONLY: fft_init
369
370	USE indices, &
371	ONLY: nxl, nxr, nyn, nys, nzb, nzt
372
373	USE kinds
374
375	USE pegrid, &
376	ONLY: myid, pdims
377
378	IMPLICIT NONE
379
380	INTEGER(iwp) :: m !<
381	INTEGER(iwp) :: pr !<
382
383
384	!
385	!-- Check if user gave any levels for spectra to be calculated
386	IF ( comp_spectra_level(1) == 999999 ) RETURN
387
388	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
389
390	!
391	!-- Initialize spectra related quantities
392	CALL spectra_init
393
394	!
395	!-- Initialize ffts
396	CALL fft_init
397
398	!
399	!-- Reallocate array d in required size
400	IF ( psolver(1:9) == 'multigrid' ) THEN
401	DEALLOCATE( d )
402	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
403	ENDIF
404
405	m = 1
406	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
407	!
408	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
409	!-- along x)
410	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
411
412	!
413	!-- Calculation of spectra works for cyclic boundary conditions only
414	IF ( .NOT. bc_lr_cyc ) THEN
415
416	message_string = 'non-cyclic lateral boundaries along x do'// &
417	' not & allow calculation of spectra along x'
418	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
419	ENDIF
420
421	CALL preprocess_spectra( m, pr )
422
423	#if defined( __parallel )
424	IF ( pdims(2) /= 1 ) THEN
425	CALL resort_for_zx( d, tend )
426	CALL transpose_zx( tend, d )
427	ELSE
428	CALL transpose_yxd( d, d )
429	ENDIF
430	CALL calc_spectra_x( d, pr, m )
431	#else
432	message_string = 'sorry, calculation of spectra in non paral' // &
433	'lel mode& is still not realized'
434	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
435	#endif
436
437	ENDIF
438
439	!
440	!-- Transposition from z --> y (d is rearranged only in case of a
441	!-- 1d-decomposition along x)
442	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
443
444	!
445	!-- Calculation of spectra works for cyclic boundary conditions only
446	IF ( .NOT. bc_ns_cyc ) THEN
447	IF ( myid == 0 ) THEN
448	message_string = 'non-cyclic lateral boundaries along y' // &
449	' do not & allow calculation of spectr' // &
450	'a along y'
451	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
452	ENDIF
453	CALL local_stop
454	ENDIF
455
456	CALL preprocess_spectra( m, pr )
457
458	#if defined( __parallel )
459	CALL transpose_zyd( d, d )
460	CALL calc_spectra_y( d, pr, m )
461	#else
462	message_string = 'sorry, calculation of spectra in non paral' // &
463	'lel mode& is still not realized'
464	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
465	#endif
466
467	ENDIF
468
469	!
470	!-- Increase counter for next spectrum
471	m = m + 1
472
473	ENDDO
474
475	!
476	!-- Increase counter for averaging process in routine plot_spectra
477	average_count_sp = average_count_sp + 1
478
479	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
480
481	END SUBROUTINE calc_spectra
482
483
484	!------------------------------------------------------------------------------!
485	! Description:
486	! ------------
487	!> @todo Missing subroutine description.
488	!------------------------------------------------------------------------------!
489	SUBROUTINE preprocess_spectra( m, pr )
490
491	USE arrays_3d, &
492	ONLY: d, pt, q, s, u, v, w
493
494	USE indices, &
495	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
496
497	USE kinds
498
499	#if defined( __parallel )
500	#if defined( __mpifh )
501	INCLUDE "mpif.h"
502	#else
503	USE MPI
504	#endif
505	#endif
506	USE pegrid, &
507	ONLY: collective_wait, comm2d, ierr
508
509	USE statistics, &
510	ONLY: hom
511
512
513	IMPLICIT NONE
514
515	INTEGER(iwp) :: i !<
516	INTEGER(iwp) :: j !<
517	INTEGER(iwp) :: k !<
518	INTEGER(iwp) :: m !<
519	INTEGER(iwp) :: pr !<
520
521	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
522
523	SELECT CASE ( TRIM( data_output_sp(m) ) )
524
525	CASE ( 'u' )
526	pr = 1
527	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
528
529	CASE ( 'v' )
530	pr = 2
531	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
532
533	CASE ( 'w' )
534	pr = 3
535	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
536
537	CASE ( 'pt' )
538	pr = 4
539	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
540
541	CASE ( 'q' )
542	pr = 41
543	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
544
545	CASE ( 's' )
546	pr = 117
547	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
548
549	CASE DEFAULT
550	!
551	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
552	!-- contains a wrong character string or if the user has coded a special
553	!-- case in the user interface. There, the subroutine user_spectra
554	!-- checks which of these two conditions applies.
555	CALL user_spectra( 'preprocess', m, pr )
556
557	END SELECT
558
559	!
560	!-- Subtract horizontal mean from the array, for which spectra have to be
561	!-- calculated
562	var_d_l(:) = 0.0_wp
563	DO i = nxl, nxr
564	DO j = nys, nyn
565	DO k = nzb+1, nzt
566	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
567	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
568	ENDDO
569	ENDDO
570	ENDDO
571	!
572	!-- Compute total variance from local variances
573	var_d(:) = 0.0_wp
574	#if defined( __parallel )
575	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
576	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
577	comm2d, ierr )
578	#else
579	var_d(:) = var_d_l(:)
580	#endif
581	var_d(:) = var_d(:) / ngp_2dh(0)
582
583	END SUBROUTINE preprocess_spectra
584
585
586	!------------------------------------------------------------------------------!
587	! Description:
588	! ------------
589	!> @todo Missing subroutine description.
590	!------------------------------------------------------------------------------!
591	SUBROUTINE calc_spectra_x( ddd, pr, m )
592
593	USE control_parameters, &
594	ONLY: fft_method
595
596	USE fft_xy, &
597	ONLY: fft_x_1d
598
599	USE grid_variables, &
600	ONLY: dx
601
602	USE indices, &
603	ONLY: nx, ny
604
605	USE kinds
606
607	#if defined( __parallel )
608	#if defined( __mpifh )
609	INCLUDE "mpif.h"
610	#else
611	USE MPI
612	#endif
613	#endif
614	USE pegrid, &
615	ONLY: comm2d, ierr, myid
616
617	USE transpose_indices, &
618	ONLY: nyn_x, nys_x, nzb_x, nzt_x
619
620
621	IMPLICIT NONE
622
623	INTEGER(iwp) :: i !<
624	INTEGER(iwp) :: ishape(1) !<
625	INTEGER(iwp) :: j !<
626	INTEGER(iwp) :: k !<
627	INTEGER(iwp) :: m !<
628	INTEGER(iwp) :: n !<
629	INTEGER(iwp) :: pr !<
630
631	REAL(wp) :: exponent !<
632	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
633
634	REAL(wp), DIMENSION(0:nx) :: work !<
635
636	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
637
638	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
639
640	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
641
642	!
643	!-- Exponent for geometric average
644	exponent = 1.0_wp / ( ny + 1.0_wp )
645
646	!
647	!-- Loop over all levels defined by the user
648	n = 1
649	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
650
651	k = comp_spectra_level(n)
652
653	!
654	!-- Calculate FFT only if the corresponding level is situated on this PE
655	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
656
657	DO j = nys_x, nyn_x
658
659	work = ddd(0:nx,j,k)
660	CALL fft_x_1d( work, 'forward' )
661
662	ddd(0,j,k) = dx * work(0)**2
663	DO i = 1, nx/2
664	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
665	ENDDO
666
667	ENDDO
668
669	!
670	!-- Local sum and geometric average of these spectra
671	!-- (WARNING: no global sum should be performed, because floating
672	!-- point overflow may occur)
673	DO i = 0, nx/2
674
675	sums_spectra_l(i) = 1.0_wp
676	DO j = nys_x, nyn_x
677	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
678	ENDDO
679
680	ENDDO
681
682	ELSE
683
684	sums_spectra_l = 1.0_wp
685
686	ENDIF
687
688	!
689	!-- Global sum of spectra on PE0 (from where they are written on file)
690	sums_spectra(:,n) = 0.0_wp
691	#if defined( __parallel )
692	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
693	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
694	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
695	#else
696	sums_spectra(:,n) = sums_spectra_l
697	#endif
698	!
699	!-- Normalize spectra by variance
700	sum_spec_dum = SUM( sums_spectra(:,n) )
701	IF ( sum_spec_dum /= 0.0_wp ) THEN
702	sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / sum_spec_dum
703	ENDIF
704	n = n + 1
705
706	ENDDO
707	n = n - 1
708
709	IF ( myid == 0 ) THEN
710	!
711	!-- Sum of spectra for later averaging (see routine data_output_spectra)
712	DO i = 1, nx/2
713	DO k = 1, n
714	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
715	ENDDO
716	ENDDO
717
718	ENDIF
719	!
720	!-- n_sp_x is needed by data_output_spectra_x
721	n_sp_x = n
722
723	END SUBROUTINE calc_spectra_x
724
725
726	!------------------------------------------------------------------------------!
727	! Description:
728	! ------------
729	!> @todo Missing subroutine description.
730	!------------------------------------------------------------------------------!
731	SUBROUTINE calc_spectra_y( ddd, pr, m )
732
733	USE control_parameters, &
734	ONLY: fft_method
735
736	USE fft_xy, &
737	ONLY: fft_y_1d
738
739	USE grid_variables, &
740	ONLY: dy
741
742	USE indices, &
743	ONLY: nx, ny
744
745	USE kinds
746
747	#if defined( __parallel )
748	#if defined( __mpifh )
749	INCLUDE "mpif.h"
750	#else
751	USE MPI
752	#endif
753	#endif
754	USE pegrid, &
755	ONLY: comm2d, ierr, myid
756
757	USE transpose_indices, &
758	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
759
760
761	IMPLICIT NONE
762
763	INTEGER(iwp) :: i !<
764	INTEGER(iwp) :: j !<
765	INTEGER(iwp) :: jshape(1) !<
766	INTEGER(iwp) :: k !<
767	INTEGER(iwp) :: m !<
768	INTEGER(iwp) :: n !<
769	INTEGER(iwp) :: pr !<
770
771	REAL(wp) :: exponent !<
772	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
773
774	REAL(wp), DIMENSION(0:ny) :: work !<
775
776	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
777
778	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
779
780	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
781
782
783	!
784	!-- Exponent for geometric average
785	exponent = 1.0_wp / ( nx + 1.0_wp )
786
787	!
788	!-- Loop over all levels defined by the user
789	n = 1
790	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
791
792	k = comp_spectra_level(n)
793
794	!
795	!-- Calculate FFT only if the corresponding level is situated on this PE
796	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
797
798	DO i = nxl_yd, nxr_yd
799
800	work = ddd(0:ny,i,k)
801	CALL fft_y_1d( work, 'forward' )
802
803	ddd(0,i,k) = dy * work(0)**2
804	DO j = 1, ny/2
805	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
806	ENDDO
807
808	ENDDO
809
810	!
811	!-- Local sum and geometric average of these spectra
812	!-- (WARNING: no global sum should be performed, because floating
813	!-- point overflow may occur)
814	DO j = 0, ny/2
815
816	sums_spectra_l(j) = 1.0_wp
817	DO i = nxl_yd, nxr_yd
818	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
819	ENDDO
820
821	ENDDO
822
823	ELSE
824
825	sums_spectra_l = 1.0_wp
826
827	ENDIF
828
829	!
830	!-- Global sum of spectra on PE0 (from where they are written on file)
831	sums_spectra(:,n) = 0.0_wp
832	#if defined( __parallel )
833	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
834	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
835	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
836	#else
837	sums_spectra(:,n) = sums_spectra_l
838	#endif
839	!
840	!-- Normalize spectra by variance
841	sum_spec_dum = SUM( sums_spectra(:,n) )
842	IF ( SUM(sums_spectra(:,n)) /= 0.0_wp ) THEN
843	sums_spectra(:,n) = sums_spectra(:,n) * &
844	var_d(k) / SUM(sums_spectra(:,n))
845	ENDIF
846	n = n + 1
847
848	ENDDO
849	n = n - 1
850
851
852	IF ( myid == 0 ) THEN
853	!
854	!-- Sum of spectra for later averaging (see routine data_output_spectra)
855	DO j = 1, ny/2
856	DO k = 1, n
857	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
858	ENDDO
859	ENDDO
860
861	ENDIF
862
863	!
864	!-- n_sp_y is needed by data_output_spectra_y
865	n_sp_y = n
866
867	END SUBROUTINE calc_spectra_y
868
869	END MODULE spectra_mod

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