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

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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 2216 2017-04-28 12:54:20Z Giersch $
27	!
28	! 2193 2017-03-22 04:21:28Z raasch
29	! Normalization of spectra output adjusted
30	!
31	! 2192 2017-03-22 04:14:10Z raasch
32	! bugfix for index bounds of arrays spectrum_x and spectrum_y
33	!
34	! 2000 2016-08-20 18:09:15Z knoop
35	! Forced header and separation lines into 80 columns
36	!
37	! 1960 2016-07-12 16:34:24Z suehring
38	! Additional default spectra for passive scalar
39	!
40	! 1833 2016-04-07 14:23:03Z raasch
41	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
42	! here
43	!
44	! 1815 2016-04-06 13:49:59Z raasch
45	! bugfix: preprocessor directives included for the non-parallel case
46	!
47	! 1808 2016-04-05 19:44:00Z raasch
48	! MPI module used by default on all machines
49	!
50	! 1786 2016-03-08 05:49:27Z raasch
51	! routine is modularized, filename renamed from calc_spectra to spectrum,
52	! privious data module spectrum moved from modules.f90 to here,
53	! cpp-direktives for spectra removed, immediate return if no spectra levels are
54	! given
55	!
56	! 1682 2015-10-07 23:56:08Z knoop
57	! Code annotations made doxygen readable
58	!
59	! 1575 2015-03-27 09:56:27Z raasch
60	! adjustments for psolver-queries
61	!
62	! 1511 2014-12-16 15:54:16Z suehring
63	! Bugfix concerning spectra normalization
64	!
65	! 1431 2014-07-15 14:47:17Z suehring
66	! Wavenumber-integrated spectra coincide with respective variance.
67	!
68	! 1342 2014-03-26 17:04:47Z kanani
69	! REAL constants defined as wp-kinds
70	!
71	! 1324 2014-03-21 09:13:16Z suehring
72	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
73	!
74	! 1320 2014-03-20 08:40:49Z raasch
75	! ONLY-attribute added to USE-statements,
76	! kind-parameters added to all INTEGER and REAL declaration statements,
77	! kinds are defined in new module kinds,
78	! revision history before 2012 removed,
79	! comment fields (!:) to be used for variable explanations added to
80	! all variable declaration statements
81	!
82	! 1318 2014-03-17 13:35:16Z raasch
83	! module interfaces removed
84	!
85	! 1216 2013-08-26 09:31:42Z raasch
86	! resorting of array moved to separate routine resort_for_zx,
87	! one argument removed from the transpose_..d routines
88	!
89	! 1120 2013-04-05 15:11:35Z raasch
90	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
91	!
92	! 1036 2012-10-22 13:43:42Z raasch
93	! code put under GPL (PALM 3.9)
94	!
95	! 1003 2012-09-14 14:35:53Z raasch
96	! adjustment of array tend for cases with unequal subdomain sizes removed
97	!
98	! Revision 1.1 2001/01/05 15:08:07 raasch
99	! Initial revision
100	!
101	!
102	! Description:
103	! ------------
104	!> Calculate horizontal spectra along x and y.
105	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
106	!> case the gridpoint number along z still depends on the PE number
107	!> because transpose_xz has to be used (and possibly also
108	!> transpose_zyd needs modification).
109	!------------------------------------------------------------------------------!
110	MODULE spectra_mod
111
112	USE kinds
113
114	PRIVATE
115
116	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
117	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
118
119	INTEGER(iwp) :: average_count_sp = 0
120	INTEGER(iwp) :: dosp_time_count = 0
121	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
122
123	INTEGER(iwp) :: comp_spectra_level(100) = 999999
124
125	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
126	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
127
128	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
129	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
130	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
131
132	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
133
134	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
135
136	SAVE
137
138	INTERFACE calc_spectra
139	MODULE PROCEDURE calc_spectra
140	END INTERFACE calc_spectra
141
142	INTERFACE preprocess_spectra
143	MODULE PROCEDURE preprocess_spectra
144	END INTERFACE preprocess_spectra
145
146	INTERFACE calc_spectra_x
147	MODULE PROCEDURE calc_spectra_x
148	END INTERFACE calc_spectra_x
149
150	INTERFACE calc_spectra_y
151	MODULE PROCEDURE calc_spectra_y
152	END INTERFACE calc_spectra_y
153
154	INTERFACE spectra_check_parameters
155	MODULE PROCEDURE spectra_check_parameters
156	END INTERFACE spectra_check_parameters
157
158	INTERFACE spectra_header
159	MODULE PROCEDURE spectra_header
160	END INTERFACE spectra_header
161
162	INTERFACE spectra_init
163	MODULE PROCEDURE spectra_init
164	END INTERFACE spectra_init
165
166	INTERFACE spectra_parin
167	MODULE PROCEDURE spectra_parin
168	END INTERFACE spectra_parin
169
170	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
171	calculate_spectra, comp_spectra_level, data_output_sp, &
172	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
173	skip_time_dosp, spectra_check_parameters, spectra_direction, &
174	spectra_header, spectra_init, spectra_parin, spectrum_x, &
175	spectrum_y, var_d
176
177
178	CONTAINS
179
180	!------------------------------------------------------------------------------!
181	! Description:
182	! ------------
183	!> Parin for &spectra_par for calculating spectra
184	!------------------------------------------------------------------------------!
185	SUBROUTINE spectra_parin
186
187	USE control_parameters, &
188	ONLY: dt_data_output
189
190	IMPLICIT NONE
191
192	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
193	!< line of the parameter file
194
195	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
196	data_output_sp, dt_dosp, skip_time_dosp, &
197	spectra_direction
198
199
200	!
201	!-- Position the namelist-file at the beginning (it was already opened in
202	!-- parin), search for the namelist-group of the package and position the
203	!-- file at this line.
204	line = ' '
205
206	!
207	!-- Try to find the spectra package
208	REWIND ( 11 )
209	line = ' '
210	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
211	READ ( 11, '(A)', END=10 ) line
212	ENDDO
213	BACKSPACE ( 11 )
214
215	!
216	!-- Read namelist
217	READ ( 11, spectra_par )
218
219	!
220	!-- Default setting of dt_dosp here (instead of check_parameters), because
221	!-- its current value is needed in init_pegrid
222	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
223
224	!
225	!-- Set general switch that spectra shall be calculated
226	calculate_spectra = .TRUE.
227
228	10 CONTINUE
229
230	END SUBROUTINE spectra_parin
231
232
233
234	!------------------------------------------------------------------------------!
235	! Description:
236	! ------------
237	!> Initialization of spectra related variables
238	!------------------------------------------------------------------------------!
239	SUBROUTINE spectra_init
240
241	USE indices, &
242	ONLY: nx, ny, nzb, nzt
243
244	IMPLICIT NONE
245
246	IF ( spectra_initialized ) RETURN
247
248	IF ( dt_dosp /= 9999999.9_wp ) THEN
249	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ), &
250	spectrum_y( 1:ny/2, 1:100, 1:10 ) )
251	spectrum_x = 0.0_wp
252	spectrum_y = 0.0_wp
253
254	ALLOCATE( var_d(nzb:nzt+1) )
255	var_d = 0.0_wp
256	ENDIF
257
258	spectra_initialized = .TRUE.
259
260	END SUBROUTINE spectra_init
261
262
263
264	!------------------------------------------------------------------------------!
265	! Description:
266	! ------------
267	!> Check spectra related quantities
268	!------------------------------------------------------------------------------!
269	SUBROUTINE spectra_check_parameters
270
271	USE control_parameters, &
272	ONLY: averaging_interval, message_string, skip_time_data_output
273
274	IMPLICIT NONE
275
276	!
277	!-- Check the average interval
278	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
279	averaging_interval_sp = averaging_interval
280	ENDIF
281
282	IF ( averaging_interval_sp > dt_dosp ) THEN
283	WRITE( message_string, * ) 'averaging_interval_sp = ', &
284	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
285	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
286	ENDIF
287
288	!
289	!-- Set the default skip time interval for data output, if necessary
290	IF ( skip_time_dosp == 9999999.9_wp ) &
291	skip_time_dosp = skip_time_data_output
292
293	END SUBROUTINE spectra_check_parameters
294
295
296
297	!------------------------------------------------------------------------------!
298	! Description:
299	! ------------
300	!> Header output for spectra
301	!>
302	!> @todo Output of netcdf data format and compression level
303	!------------------------------------------------------------------------------!
304	SUBROUTINE spectra_header ( io )
305
306	USE control_parameters, &
307	ONLY: dt_averaging_input_pr
308
309	! USE netcdf_interface, &
310	! ONLY: netcdf_data_format_string, netcdf_deflate
311
312	IMPLICIT NONE
313
314	CHARACTER (LEN=40) :: output_format !< internal string
315
316	INTEGER(iwp) :: i !< internal counter
317	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
318
319	!
320	!-- Spectra output
321	IF ( dt_dosp /= 9999999.9_wp ) THEN
322	WRITE ( io, 1 )
323
324	! output_format = netcdf_data_format_string
325	! IF ( netcdf_deflate == 0 ) THEN
326	! WRITE ( io, 2 ) output_format
327	! ELSE
328	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
329	! ENDIF
330	WRITE ( io, 2 ) 'see profiles or other quantities'
331	WRITE ( io, 4 ) dt_dosp
332	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
333	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
334	( spectra_direction(i), i = 1,10 ), &
335	( comp_spectra_level(i), i = 1,100 ), &
336	averaging_interval_sp, dt_averaging_input_pr
337	ENDIF
338
339	1 FORMAT (' Spectra:')
340	2 FORMAT (' Output format: ',A/)
341	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
342	4 FORMAT (' Output every ',F7.1,' s'/)
343	5 FORMAT (' No output during initial ',F8.2,' s')
344	6 FORMAT (' Arrays: ', 10(A5,',')/ &
345	' Directions: ', 10(A5,',')/ &
346	' height levels k = ', 20(I3,',')/ &
347	' ', 20(I3,',')/ &
348	' ', 20(I3,',')/ &
349	' ', 20(I3,',')/ &
350	' ', 19(I3,','),I3,'.'/ &
351	' Time averaged over ', F7.1, ' s,' / &
352	' Profiles for the time averaging are taken every ', &
353	F6.1,' s')
354
355	END SUBROUTINE spectra_header
356
357
358
359	SUBROUTINE calc_spectra
360
361	USE arrays_3d, &
362	ONLY: d, tend
363
364	USE control_parameters, &
365	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
366
367	USE cpulog, &
368	ONLY: cpu_log, log_point
369
370	USE fft_xy, &
371	ONLY: fft_init
372
373	USE indices, &
374	ONLY: nxl, nxr, nyn, nys, nzb, nzt
375
376	USE kinds
377
378	USE pegrid, &
379	ONLY: myid, pdims
380
381	IMPLICIT NONE
382
383	INTEGER(iwp) :: m !<
384	INTEGER(iwp) :: pr !<
385
386
387	!
388	!-- Check if user gave any levels for spectra to be calculated
389	IF ( comp_spectra_level(1) == 999999 ) RETURN
390
391	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
392
393	!
394	!-- Initialize spectra related quantities
395	CALL spectra_init
396
397	!
398	!-- Initialize ffts
399	CALL fft_init
400
401	!
402	!-- Reallocate array d in required size
403	IF ( psolver(1:9) == 'multigrid' ) THEN
404	DEALLOCATE( d )
405	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
406	ENDIF
407
408	m = 1
409	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
410	!
411	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
412	!-- along x)
413	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
414
415	!
416	!-- Calculation of spectra works for cyclic boundary conditions only
417	IF ( .NOT. bc_lr_cyc ) THEN
418
419	message_string = 'non-cyclic lateral boundaries along x do'// &
420	' not & allow calculation of spectra along x'
421	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
422	ENDIF
423
424	CALL preprocess_spectra( m, pr )
425
426	#if defined( __parallel )
427	IF ( pdims(2) /= 1 ) THEN
428	CALL resort_for_zx( d, tend )
429	CALL transpose_zx( tend, d )
430	ELSE
431	CALL transpose_yxd( d, d )
432	ENDIF
433	CALL calc_spectra_x( d, pr, m )
434	#else
435	message_string = 'sorry, calculation of spectra in non paral' // &
436	'lel mode& is still not realized'
437	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
438	#endif
439
440	ENDIF
441
442	!
443	!-- Transposition from z --> y (d is rearranged only in case of a
444	!-- 1d-decomposition along x)
445	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
446
447	!
448	!-- Calculation of spectra works for cyclic boundary conditions only
449	IF ( .NOT. bc_ns_cyc ) THEN
450	IF ( myid == 0 ) THEN
451	message_string = 'non-cyclic lateral boundaries along y' // &
452	' do not & allow calculation of spectr' // &
453	'a along y'
454	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
455	ENDIF
456	CALL local_stop
457	ENDIF
458
459	CALL preprocess_spectra( m, pr )
460
461	#if defined( __parallel )
462	CALL transpose_zyd( d, d )
463	CALL calc_spectra_y( d, pr, m )
464	#else
465	message_string = 'sorry, calculation of spectra in non paral' // &
466	'lel mode& is still not realized'
467	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
468	#endif
469
470	ENDIF
471
472	!
473	!-- Increase counter for next spectrum
474	m = m + 1
475
476	ENDDO
477
478	!
479	!-- Increase counter for averaging process in routine plot_spectra
480	average_count_sp = average_count_sp + 1
481
482	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
483
484	END SUBROUTINE calc_spectra
485
486
487	!------------------------------------------------------------------------------!
488	! Description:
489	! ------------
490	!> @todo Missing subroutine description.
491	!------------------------------------------------------------------------------!
492	SUBROUTINE preprocess_spectra( m, pr )
493
494	USE arrays_3d, &
495	ONLY: d, pt, q, s, u, v, w
496
497	USE indices, &
498	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
499
500	USE kinds
501
502	#if defined( __parallel )
503	#if defined( __mpifh )
504	INCLUDE "mpif.h"
505	#else
506	USE MPI
507	#endif
508	#endif
509	USE pegrid, &
510	ONLY: collective_wait, comm2d, ierr
511
512	USE statistics, &
513	ONLY: hom
514
515
516	IMPLICIT NONE
517
518	INTEGER(iwp) :: i !<
519	INTEGER(iwp) :: j !<
520	INTEGER(iwp) :: k !<
521	INTEGER(iwp) :: m !<
522	INTEGER(iwp) :: pr !<
523
524	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
525
526	SELECT CASE ( TRIM( data_output_sp(m) ) )
527
528	CASE ( 'u' )
529	pr = 1
530	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
531
532	CASE ( 'v' )
533	pr = 2
534	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
535
536	CASE ( 'w' )
537	pr = 3
538	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
539
540	CASE ( 'pt' )
541	pr = 4
542	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
543
544	CASE ( 'q' )
545	pr = 41
546	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
547
548	CASE ( 's' )
549	pr = 117
550	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
551
552	CASE DEFAULT
553	!
554	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
555	!-- contains a wrong character string or if the user has coded a special
556	!-- case in the user interface. There, the subroutine user_spectra
557	!-- checks which of these two conditions applies.
558	CALL user_spectra( 'preprocess', m, pr )
559
560	END SELECT
561
562	!
563	!-- Subtract horizontal mean from the array, for which spectra have to be
564	!-- calculated. Moreover, calculate variance of the respective quantitiy,
565	!-- later used for normalizing spectra output.
566	var_d_l(:) = 0.0_wp
567	DO i = nxl, nxr
568	DO j = nys, nyn
569	DO k = nzb+1, nzt
570	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
571	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
572	ENDDO
573	ENDDO
574	ENDDO
575	!
576	!-- Compute total variance from local variances
577	var_d(:) = 0.0_wp
578	#if defined( __parallel )
579	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
580	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
581	comm2d, ierr )
582	#else
583	var_d(:) = var_d_l(:)
584	#endif
585	var_d(:) = var_d(:) / ngp_2dh(0)
586
587	END SUBROUTINE preprocess_spectra
588
589
590	!------------------------------------------------------------------------------!
591	! Description:
592	! ------------
593	!> @todo Missing subroutine description.
594	!------------------------------------------------------------------------------!
595	SUBROUTINE calc_spectra_x( ddd, pr, m )
596
597	USE control_parameters, &
598	ONLY: fft_method
599
600	USE fft_xy, &
601	ONLY: fft_x_1d
602
603	USE grid_variables, &
604	ONLY: dx
605
606	USE indices, &
607	ONLY: nx, ny
608
609	USE kinds
610
611	#if defined( __parallel )
612	#if defined( __mpifh )
613	INCLUDE "mpif.h"
614	#else
615	USE MPI
616	#endif
617	#endif
618	USE pegrid, &
619	ONLY: comm2d, ierr, myid
620
621	USE transpose_indices, &
622	ONLY: nyn_x, nys_x, nzb_x, nzt_x
623
624
625	IMPLICIT NONE
626
627	INTEGER(iwp) :: i !<
628	INTEGER(iwp) :: ishape(1) !<
629	INTEGER(iwp) :: j !<
630	INTEGER(iwp) :: k !<
631	INTEGER(iwp) :: m !<
632	INTEGER(iwp) :: n !<
633	INTEGER(iwp) :: pr !<
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
731
732	!------------------------------------------------------------------------------!
733	! Description:
734	! ------------
735	!> @todo Missing subroutine description.
736	!------------------------------------------------------------------------------!
737	SUBROUTINE calc_spectra_y( ddd, pr, m )
738
739	USE control_parameters, &
740	ONLY: fft_method
741
742	USE fft_xy, &
743	ONLY: fft_y_1d
744
745	USE grid_variables, &
746	ONLY: dy
747
748	USE indices, &
749	ONLY: nx, ny
750
751	USE kinds
752
753	#if defined( __parallel )
754	#if defined( __mpifh )
755	INCLUDE "mpif.h"
756	#else
757	USE MPI
758	#endif
759	#endif
760	USE pegrid, &
761	ONLY: comm2d, ierr, myid
762
763	USE transpose_indices, &
764	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
765
766
767	IMPLICIT NONE
768
769	INTEGER(iwp) :: i !<
770	INTEGER(iwp) :: j !<
771	INTEGER(iwp) :: jshape(1) !<
772	INTEGER(iwp) :: k !<
773	INTEGER(iwp) :: m !<
774	INTEGER(iwp) :: n !<
775	INTEGER(iwp) :: pr !<
776
777	REAL(wp) :: exponent !<
778	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
779
780	REAL(wp), DIMENSION(0:ny) :: work !<
781
782	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
783
784	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
785
786	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
787
788
789	!
790	!-- Exponent for geometric average
791	exponent = 1.0_wp / ( nx + 1.0_wp )
792
793	!
794	!-- Loop over all levels defined by the user
795	n = 1
796	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
797
798	k = comp_spectra_level(n)
799
800	!
801	!-- Calculate FFT only if the corresponding level is situated on this PE
802	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
803
804	DO i = nxl_yd, nxr_yd
805
806	work = ddd(0:ny,i,k)
807	CALL fft_y_1d( work, 'forward' )
808
809	ddd(0,i,k) = dy * work(0)**2
810	DO j = 1, ny/2
811	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
812	ENDDO
813
814	ENDDO
815
816	!
817	!-- Local sum and geometric average of these spectra
818	!-- (WARNING: no global sum should be performed, because floating
819	!-- point overflow may occur)
820	DO j = 0, ny/2
821
822	sums_spectra_l(j) = 1.0_wp
823	DO i = nxl_yd, nxr_yd
824	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
825	ENDDO
826
827	ENDDO
828
829	ELSE
830
831	sums_spectra_l = 1.0_wp
832
833	ENDIF
834
835	!
836	!-- Global sum of spectra on PE0 (from where they are written on file)
837	sums_spectra(:,n) = 0.0_wp
838	#if defined( __parallel )
839	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
840	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
841	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
842	#else
843	sums_spectra(:,n) = sums_spectra_l
844	#endif
845	!
846	!-- Normalize spectra by variance
847	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
848	IF ( sum_spec_dum /= 0.0_wp ) THEN
849	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * &
850	var_d(k) / sum_spec_dum
851	ENDIF
852	n = n + 1
853
854	ENDDO
855	n = n - 1
856
857
858	IF ( myid == 0 ) THEN
859	!
860	!-- Sum of spectra for later averaging (see routine data_output_spectra)
861	DO j = 1, ny/2
862	DO k = 1, n
863	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
864	ENDDO
865	ENDDO
866
867	ENDIF
868
869	!
870	!-- n_sp_y is needed by data_output_spectra_y
871	n_sp_y = n
872
873	END SUBROUTINE calc_spectra_y
874
875	END MODULE spectra_mod

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