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source: palm/trunk/SOURCE/spectra_mod.f90 @ 4470

Last change on this file since 4470 was 4429, checked in by raasch, 5 years ago
serial (non-MPI) test case added, several bugfixes for the serial mode
Property svn:keywords set to `Id`
File size: 26.6 KB

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1	!> @file spectra_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 1997-2020 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 4429 2020-02-27 15:24:30Z maronga $
27	! bugfix: preprocessor directives rearranged for serial mode
28	!
29	! 4360 2020-01-07 11:25:50Z suehring
30	! Corrected "Former revisions" section
31	!
32	! 3805 2019-03-20 15:26:35Z raasch
33	! unused variable removed
34	!
35	! 3655 2019-01-07 16:51:22Z knoop
36	! Renamed output variables
37	!
38	! Revision 1.1 2001/01/05 15:08:07 raasch
39	! Initial revision
40	!
41	!
42	! Description:
43	! ------------
44	!> Calculate horizontal spectra along x and y.
45	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
46	!> case the gridpoint number along z still depends on the PE number
47	!> because transpose_xz has to be used (and possibly also
48	!> transpose_zyd needs modification).
49	!------------------------------------------------------------------------------!
50	MODULE spectra_mod
51
52	USE kinds
53
54	PRIVATE
55
56	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
57	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
58
59	INTEGER(iwp) :: average_count_sp = 0
60	INTEGER(iwp) :: dosp_time_count = 0
61	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
62
63	INTEGER(iwp) :: comp_spectra_level(100) = 999999
64
65	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
66	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
67
68	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
69	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
70	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
71
72	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
73
74	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
75
76	SAVE
77
78	INTERFACE calc_spectra
79	MODULE PROCEDURE calc_spectra
80	END INTERFACE calc_spectra
81
82	INTERFACE preprocess_spectra
83	MODULE PROCEDURE preprocess_spectra
84	END INTERFACE preprocess_spectra
85
86	#if defined( __parallel )
87	INTERFACE calc_spectra_x
88	MODULE PROCEDURE calc_spectra_x
89	END INTERFACE calc_spectra_x
90
91	INTERFACE calc_spectra_y
92	MODULE PROCEDURE calc_spectra_y
93	END INTERFACE calc_spectra_y
94	#endif
95
96	INTERFACE spectra_check_parameters
97	MODULE PROCEDURE spectra_check_parameters
98	END INTERFACE spectra_check_parameters
99
100	INTERFACE spectra_header
101	MODULE PROCEDURE spectra_header
102	END INTERFACE spectra_header
103
104	INTERFACE spectra_init
105	MODULE PROCEDURE spectra_init
106	END INTERFACE spectra_init
107
108	INTERFACE spectra_parin
109	MODULE PROCEDURE spectra_parin
110	END INTERFACE spectra_parin
111
112	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
113	calculate_spectra, comp_spectra_level, data_output_sp, &
114	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, &
115	skip_time_dosp, spectra_check_parameters, spectra_direction, &
116	spectra_header, spectra_init, spectra_parin, spectrum_x, &
117	spectrum_y, var_d
118
119
120	CONTAINS
121
122	!------------------------------------------------------------------------------!
123	! Description:
124	! ------------
125	!> Parin for &spectra_par for calculating spectra
126	!------------------------------------------------------------------------------!
127	SUBROUTINE spectra_parin
128
129	USE control_parameters, &
130	ONLY: dt_data_output, message_string
131
132	IMPLICIT NONE
133
134	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
135	!< line of the parameter file
136
137	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
138	data_output_sp, dt_dosp, skip_time_dosp, &
139	spectra_direction
140
141	NAMELIST /spectra_parameters/ &
142	averaging_interval_sp, comp_spectra_level, &
143	data_output_sp, dt_dosp, skip_time_dosp, &
144	spectra_direction
145	!
146	!-- Position the namelist-file at the beginning (it was already opened in
147	!-- parin), search for the namelist-group of the package and position the
148	!-- file at this line.
149	line = ' '
150
151	!
152	!-- Try to find the spectra package
153	REWIND ( 11 )
154	line = ' '
155	DO WHILE ( INDEX( line, '&spectra_parameters' ) == 0 )
156	READ ( 11, '(A)', END=12 ) line
157	ENDDO
158	BACKSPACE ( 11 )
159
160	!
161	!-- Read namelist
162	READ ( 11, spectra_parameters, ERR = 10 )
163
164	!
165	!-- Default setting of dt_dosp here (instead of check_parameters), because
166	!-- its current value is needed in init_pegrid
167	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
168
169	!
170	!-- Set general switch that spectra shall be calculated
171	calculate_spectra = .TRUE.
172
173	GOTO 14
174
175	10 BACKSPACE( 11 )
176	READ( 11 , '(A)') line
177	CALL parin_fail_message( 'spectra_parameters', line )
178	!
179	!-- Try to find the old namelist
180	12 REWIND ( 11 )
181	line = ' '
182	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
183	READ ( 11, '(A)', END=14 ) line
184	ENDDO
185	BACKSPACE ( 11 )
186
187	!
188	!-- Read namelist
189	READ ( 11, spectra_par, ERR = 13, END = 14 )
190
191
192	message_string = 'namelist spectra_par is deprecated and will be ' // &
193	'removed in near future. Please use namelist ' // &
194	'spectra_parameters instead'
195	CALL message( 'spectra_parin', 'PA0487', 0, 1, 0, 6, 0 )
196	!
197	!-- Default setting of dt_dosp here (instead of check_parameters), because
198	!-- its current value is needed in init_pegrid
199	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
200
201	!
202	!-- Set general switch that spectra shall be calculated
203	calculate_spectra = .TRUE.
204
205	GOTO 14
206
207	13 BACKSPACE( 11 )
208	READ( 11 , '(A)') line
209	CALL parin_fail_message( 'spectra_par', line )
210
211
212	14 CONTINUE
213
214	END SUBROUTINE spectra_parin
215
216
217
218	!------------------------------------------------------------------------------!
219	! Description:
220	! ------------
221	!> Initialization of spectra related variables
222	!------------------------------------------------------------------------------!
223	SUBROUTINE spectra_init
224
225	USE indices, &
226	ONLY: nx, ny, nzb, nzt
227
228	IMPLICIT NONE
229
230	IF ( spectra_initialized ) RETURN
231
232	IF ( dt_dosp /= 9999999.9_wp ) THEN
233
234	IF ( .NOT. ALLOCATED( spectrum_x ) ) THEN
235	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ) )
236	spectrum_x = 0.0_wp
237	ENDIF
238
239	IF ( .NOT. ALLOCATED( spectrum_y ) ) THEN
240	ALLOCATE( spectrum_y( 1:ny/2, 1:100, 1:10 ) )
241	spectrum_y = 0.0_wp
242	ENDIF
243
244	ALLOCATE( var_d(nzb:nzt+1) )
245	var_d = 0.0_wp
246	ENDIF
247
248	spectra_initialized = .TRUE.
249
250	END SUBROUTINE spectra_init
251
252
253
254	!------------------------------------------------------------------------------!
255	! Description:
256	! ------------
257	!> Check spectra related quantities
258	!------------------------------------------------------------------------------!
259	SUBROUTINE spectra_check_parameters
260
261	USE control_parameters, &
262	ONLY: averaging_interval, message_string, skip_time_data_output
263
264	IMPLICIT NONE
265
266	!
267	!-- Check the average interval
268	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
269	averaging_interval_sp = averaging_interval
270	ENDIF
271
272	IF ( averaging_interval_sp > dt_dosp ) THEN
273	WRITE( message_string, * ) 'averaging_interval_sp = ', &
274	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
275	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
276	ENDIF
277
278	!
279	!-- Set the default skip time interval for data output, if necessary
280	IF ( skip_time_dosp == 9999999.9_wp ) &
281	skip_time_dosp = skip_time_data_output
282
283	END SUBROUTINE spectra_check_parameters
284
285
286
287	!------------------------------------------------------------------------------!
288	! Description:
289	! ------------
290	!> Header output for spectra
291	!>
292	!> @todo Output of netcdf data format and compression level
293	!------------------------------------------------------------------------------!
294	SUBROUTINE spectra_header ( io )
295
296	USE control_parameters, &
297	ONLY: dt_averaging_input_pr
298
299	! USE netcdf_interface, &
300	! ONLY: netcdf_data_format_string, netcdf_deflate
301
302	IMPLICIT NONE
303
304	! CHARACTER (LEN=40) :: output_format !< internal string
305
306	INTEGER(iwp) :: i !< internal counter
307	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
308
309	!
310	!-- Spectra output
311	IF ( dt_dosp /= 9999999.9_wp ) THEN
312	WRITE ( io, 1 )
313
314	! output_format = netcdf_data_format_string
315	! IF ( netcdf_deflate == 0 ) THEN
316	! WRITE ( io, 2 ) output_format
317	! ELSE
318	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
319	! ENDIF
320	WRITE ( io, 2 ) 'see profiles or other quantities'
321	WRITE ( io, 4 ) dt_dosp
322	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
323	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
324	( spectra_direction(i), i = 1,10 ), &
325	( comp_spectra_level(i), i = 1,100 ), &
326	averaging_interval_sp, dt_averaging_input_pr
327	ENDIF
328
329	1 FORMAT (' Spectra:')
330	2 FORMAT (' Output format: ',A/)
331	! 3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
332	4 FORMAT (' Output every ',F7.1,' s'/)
333	5 FORMAT (' No output during initial ',F8.2,' s')
334	6 FORMAT (' Arrays: ', 10(A5,',')/ &
335	' Directions: ', 10(A5,',')/ &
336	' height levels k = ', 20(I3,',')/ &
337	' ', 20(I3,',')/ &
338	' ', 20(I3,',')/ &
339	' ', 20(I3,',')/ &
340	' ', 19(I3,','),I3,'.'/ &
341	' Time averaged over ', F7.1, ' s,' / &
342	' Profiles for the time averaging are taken every ', &
343	F6.1,' s')
344
345	END SUBROUTINE spectra_header
346
347
348
349	SUBROUTINE calc_spectra
350
351	USE arrays_3d, &
352	ONLY: d
353	#if defined( __parallel )
354	USE arrays_3d, &
355	ONLY: tend
356	#endif
357
358	USE control_parameters, &
359	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
360
361	USE cpulog, &
362	ONLY: cpu_log, log_point
363
364	USE fft_xy, &
365	ONLY: fft_init
366
367	USE indices, &
368	ONLY: nxl, nxr, nyn, nys, nzb, nzt
369
370	USE kinds
371
372	USE pegrid, &
373	ONLY: myid
374	#if defined( __parallel )
375	USE pegrid, &
376	ONLY: pdims
377	#endif
378
379	IMPLICIT NONE
380
381	INTEGER(iwp) :: m !<
382	INTEGER(iwp) :: pr !<
383
384
385	!
386	!-- Check if user gave any levels for spectra to be calculated
387	IF ( comp_spectra_level(1) == 999999 ) RETURN
388
389	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
390
391	!
392	!-- Initialize spectra related quantities
393	CALL spectra_init
394
395	!
396	!-- Initialize ffts
397	CALL fft_init
398
399	!
400	!-- Reallocate array d in required size
401	IF ( psolver(1:9) == 'multigrid' ) THEN
402	DEALLOCATE( d )
403	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
404	ENDIF
405
406	m = 1
407	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
408	!
409	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
410	!-- along x)
411	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
412
413	!
414	!-- Calculation of spectra works for cyclic boundary conditions only
415	IF ( .NOT. bc_lr_cyc ) THEN
416
417	message_string = 'non-cyclic lateral boundaries along x do'// &
418	' not & allow calculation of spectra along x'
419	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
420	ENDIF
421
422	CALL preprocess_spectra( m, pr )
423
424	#if defined( __parallel )
425	IF ( pdims(2) /= 1 ) THEN
426	CALL resort_for_zx( d, tend )
427	CALL transpose_zx( tend, d )
428	ELSE
429	CALL transpose_yxd( d, d )
430	ENDIF
431	CALL calc_spectra_x( d, m )
432	#else
433	message_string = 'sorry, calculation of spectra in non paral' // &
434	'lel mode& is still not realized'
435	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
436	#endif
437
438	ENDIF
439
440	!
441	!-- Transposition from z --> y (d is rearranged only in case of a
442	!-- 1d-decomposition along x)
443	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
444
445	!
446	!-- Calculation of spectra works for cyclic boundary conditions only
447	IF ( .NOT. bc_ns_cyc ) THEN
448	IF ( myid == 0 ) THEN
449	message_string = 'non-cyclic lateral boundaries along y' // &
450	' do not & allow calculation of spectra' //&
451	' along y'
452	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
453	ENDIF
454	CALL local_stop
455	ENDIF
456
457	CALL preprocess_spectra( m, pr )
458
459	#if defined( __parallel )
460	CALL transpose_zyd( d, d )
461	CALL calc_spectra_y( d, m )
462	#else
463	message_string = 'sorry, calculation of spectra in non paral' // &
464	'lel mode& is still not realized'
465	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
466	#endif
467
468	ENDIF
469
470	!
471	!-- Increase counter for next spectrum
472	m = m + 1
473
474	ENDDO
475
476	!
477	!-- Increase counter for averaging process in routine plot_spectra
478	average_count_sp = average_count_sp + 1
479
480	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
481
482	END SUBROUTINE calc_spectra
483
484
485	!------------------------------------------------------------------------------!
486	! Description:
487	! ------------
488	!> @todo Missing subroutine description.
489	!------------------------------------------------------------------------------!
490	SUBROUTINE preprocess_spectra( m, pr )
491
492	USE arrays_3d, &
493	ONLY: d, pt, q, s, u, v, w
494
495	USE indices, &
496	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
497
498	USE kinds
499
500	#if defined( __parallel )
501	#if !defined( __mpifh )
502	USE MPI
503	#endif
504
505	USE pegrid, &
506	ONLY: collective_wait, comm2d, ierr
507	#endif
508
509	USE statistics, &
510	ONLY: hom
511
512
513	IMPLICIT NONE
514
515	#if defined( __parallel )
516	#if defined( __mpifh )
517	INCLUDE "mpif.h"
518	#endif
519	#endif
520
521	INTEGER(iwp) :: i !<
522	INTEGER(iwp) :: j !<
523	INTEGER(iwp) :: k !<
524	INTEGER(iwp) :: m !<
525	INTEGER(iwp) :: pr !<
526
527	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
528
529	SELECT CASE ( TRIM( data_output_sp(m) ) )
530
531	CASE ( 'u' )
532	pr = 1
533	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
534
535	CASE ( 'v' )
536	pr = 2
537	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
538
539	CASE ( 'w' )
540	pr = 3
541	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
542
543	CASE ( 'theta' )
544	pr = 4
545	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
546
547	CASE ( 'q' )
548	pr = 41
549	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
550
551	CASE ( 's' )
552	pr = 117
553	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
554
555	CASE DEFAULT
556	!
557	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
558	!-- contains a wrong character string or if the user has coded a special
559	!-- case in the user interface. There, the subroutine user_spectra
560	!-- checks which of these two conditions applies.
561	CALL user_spectra( 'preprocess', m, pr )
562
563	END SELECT
564
565	!
566	!-- Subtract horizontal mean from the array, for which spectra have to be
567	!-- calculated. Moreover, calculate variance of the respective quantitiy,
568	!-- later used for normalizing spectra output.
569	var_d_l(:) = 0.0_wp
570	DO i = nxl, nxr
571	DO j = nys, nyn
572	DO k = nzb+1, nzt
573	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
574	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
575	ENDDO
576	ENDDO
577	ENDDO
578	!
579	!-- Compute total variance from local variances
580	var_d(:) = 0.0_wp
581	#if defined( __parallel )
582	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
583	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
584	comm2d, ierr )
585	#else
586	var_d(:) = var_d_l(:)
587	#endif
588	var_d(:) = var_d(:) / ngp_2dh(0)
589
590	END SUBROUTINE preprocess_spectra
591
592
593	!------------------------------------------------------------------------------!
594	! Description:
595	! ------------
596	!> @todo Missing subroutine description.
597	!------------------------------------------------------------------------------!
598	#if defined( __parallel )
599	SUBROUTINE calc_spectra_x( ddd, m )
600
601	USE fft_xy, &
602	ONLY: fft_x_1d
603
604	USE grid_variables, &
605	ONLY: dx
606
607	USE indices, &
608	ONLY: nx, ny
609
610	USE kinds
611
612	#if !defined( __mpifh )
613	USE MPI
614	#endif
615
616	USE pegrid, &
617	ONLY: comm2d, ierr, myid
618
619	USE transpose_indices, &
620	ONLY: nyn_x, nys_x, nzb_x, nzt_x
621
622
623	IMPLICIT NONE
624
625	#if defined( __mpifh )
626	INCLUDE "mpif.h"
627	#endif
628
629	INTEGER(iwp) :: i !<
630	INTEGER(iwp) :: j !<
631	INTEGER(iwp) :: k !<
632	INTEGER(iwp) :: m !<
633	INTEGER(iwp) :: n !<
634
635	REAL(wp) :: exponent !<
636	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
637
638	REAL(wp), DIMENSION(0:nx) :: work !<
639
640	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
641
642	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
643
644	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
645
646	!
647	!-- Exponent for geometric average
648	exponent = 1.0_wp / ( ny + 1.0_wp )
649
650	!
651	!-- Loop over all levels defined by the user
652	n = 1
653	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
654
655	k = comp_spectra_level(n)
656
657	!
658	!-- Calculate FFT only if the corresponding level is situated on this PE
659	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
660
661	DO j = nys_x, nyn_x
662
663	work = ddd(0:nx,j,k)
664	CALL fft_x_1d( work, 'forward' )
665
666	ddd(0,j,k) = dx * work(0)**2
667	DO i = 1, nx/2
668	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
669	ENDDO
670
671	ENDDO
672
673	!
674	!-- Local sum and geometric average of these spectra
675	!-- (WARNING: no global sum should be performed, because floating
676	!-- point overflow may occur)
677	DO i = 0, nx/2
678
679	sums_spectra_l(i) = 1.0_wp
680	DO j = nys_x, nyn_x
681	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
682	ENDDO
683
684	ENDDO
685
686	ELSE
687
688	sums_spectra_l = 1.0_wp
689
690	ENDIF
691
692	!
693	!-- Global sum of spectra on PE0 (from where they are written on file)
694	sums_spectra(:,n) = 0.0_wp
695	#if defined( __parallel )
696	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
697	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
698	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
699	#else
700	sums_spectra(:,n) = sums_spectra_l
701	#endif
702	!
703	!-- Normalize spectra by variance
704	sum_spec_dum = SUM( sums_spectra(1:nx/2,n) )
705
706	IF ( sum_spec_dum /= 0.0_wp ) THEN
707	sums_spectra(1:nx/2,n) = sums_spectra(1:nx/2,n) * &
708	var_d(k) / sum_spec_dum
709	ENDIF
710	n = n + 1
711
712	ENDDO
713	n = n - 1
714
715	IF ( myid == 0 ) THEN
716	!
717	!-- Sum of spectra for later averaging (see routine data_output_spectra)
718	DO i = 1, nx/2
719	DO k = 1, n
720	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
721	ENDDO
722	ENDDO
723
724	ENDIF
725	!
726	!-- n_sp_x is needed by data_output_spectra_x
727	n_sp_x = n
728
729	END SUBROUTINE calc_spectra_x
730	#endif
731
732
733	!------------------------------------------------------------------------------!
734	! Description:
735	! ------------
736	!> @todo Missing subroutine description.
737	!------------------------------------------------------------------------------!
738	#if defined( __parallel )
739	SUBROUTINE calc_spectra_y( ddd, m )
740
741	USE fft_xy, &
742	ONLY: fft_y_1d
743
744	USE grid_variables, &
745	ONLY: dy
746
747	USE indices, &
748	ONLY: nx, ny
749
750	USE kinds
751
752	#if !defined( __mpifh )
753	USE MPI
754	#endif
755
756	USE pegrid, &
757	ONLY: comm2d, ierr, myid
758
759	USE transpose_indices, &
760	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
761
762
763	IMPLICIT NONE
764
765	#if defined( __mpifh )
766	INCLUDE "mpif.h"
767	#endif
768
769	INTEGER(iwp) :: i !<
770	INTEGER(iwp) :: j !<
771	INTEGER(iwp) :: k !<
772	INTEGER(iwp) :: m !<
773	INTEGER(iwp) :: n !<
774
775	REAL(wp) :: exponent !<
776	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
777
778	REAL(wp), DIMENSION(0:ny) :: work !<
779
780	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
781
782	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
783
784	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
785
786
787	!
788	!-- Exponent for geometric average
789	exponent = 1.0_wp / ( nx + 1.0_wp )
790
791	!
792	!-- Loop over all levels defined by the user
793	n = 1
794	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
795
796	k = comp_spectra_level(n)
797
798	!
799	!-- Calculate FFT only if the corresponding level is situated on this PE
800	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
801
802	DO i = nxl_yd, nxr_yd
803
804	work = ddd(0:ny,i,k)
805	CALL fft_y_1d( work, 'forward' )
806
807	ddd(0,i,k) = dy * work(0)**2
808	DO j = 1, ny/2
809	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
810	ENDDO
811
812	ENDDO
813
814	!
815	!-- Local sum and geometric average of these spectra
816	!-- (WARNING: no global sum should be performed, because floating
817	!-- point overflow may occur)
818	DO j = 0, ny/2
819
820	sums_spectra_l(j) = 1.0_wp
821	DO i = nxl_yd, nxr_yd
822	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
823	ENDDO
824
825	ENDDO
826
827	ELSE
828
829	sums_spectra_l = 1.0_wp
830
831	ENDIF
832
833	!
834	!-- Global sum of spectra on PE0 (from where they are written on file)
835	sums_spectra(:,n) = 0.0_wp
836	#if defined( __parallel )
837	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
838	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
839	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
840	#else
841	sums_spectra(:,n) = sums_spectra_l
842	#endif
843	!
844	!-- Normalize spectra by variance
845	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
846	IF ( sum_spec_dum /= 0.0_wp ) THEN
847	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * &
848	var_d(k) / sum_spec_dum
849	ENDIF
850	n = n + 1
851
852	ENDDO
853	n = n - 1
854
855
856	IF ( myid == 0 ) THEN
857	!
858	!-- Sum of spectra for later averaging (see routine data_output_spectra)
859	DO j = 1, ny/2
860	DO k = 1, n
861	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
862	ENDDO
863	ENDDO
864
865	ENDIF
866
867	!
868	!-- n_sp_y is needed by data_output_spectra_y
869	n_sp_y = n
870
871	END SUBROUTINE calc_spectra_y
872	#endif
873
874	END MODULE spectra_mod

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