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source: palm/trunk/SOURCE/spectra_mod.f90 @ 2749

Last change on this file since 2749 was 2718, checked in by maronga, 7 years ago
deleting of deprecated files; headers updated where needed
Property svn:keywords set to `Id`
File size: 27.1 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 1997-2018 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 2718 2018-01-02 08:49:38Z raasch $
27	! Corrected "Former revisions" section
28	!
29	! 2696 2017-12-14 17:12:51Z kanani
30	! Change in file header (GPL part)
31	!
32	! 2216 2017-04-28 12:54:20Z suehring
33	!
34	! 2193 2017-03-22 04:21:28Z raasch
35	! Normalization of spectra output adjusted
36	!
37	! 2192 2017-03-22 04:14:10Z raasch
38	! bugfix for index bounds of arrays spectrum_x and spectrum_y
39	!
40	! 2000 2016-08-20 18:09:15Z knoop
41	! Forced header and separation lines into 80 columns
42	!
43	! 1960 2016-07-12 16:34:24Z suehring
44	! Additional default spectra for passive scalar
45	!
46	! 1833 2016-04-07 14:23:03Z raasch
47	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
48	! here
49	!
50	! 1815 2016-04-06 13:49:59Z raasch
51	! bugfix: preprocessor directives included for the non-parallel case
52	!
53	! 1808 2016-04-05 19:44:00Z raasch
54	! MPI module used by default on all machines
55	!
56	! 1786 2016-03-08 05:49:27Z raasch
57	! routine is modularized, filename renamed from calc_spectra to spectrum,
58	! privious data module spectrum moved from modules.f90 to here,
59	! cpp-direktives for spectra removed, immediate return if no spectra levels are
60	! given
61	!
62	! 1682 2015-10-07 23:56:08Z knoop
63	! Code annotations made doxygen readable
64	!
65	! 1575 2015-03-27 09:56:27Z raasch
66	! adjustments for psolver-queries
67	!
68	! 1511 2014-12-16 15:54:16Z suehring
69	! Bugfix concerning spectra normalization
70	!
71	! 1431 2014-07-15 14:47:17Z suehring
72	! Wavenumber-integrated spectra coincide with respective variance.
73	!
74	! 1342 2014-03-26 17:04:47Z kanani
75	! REAL constants defined as wp-kinds
76	!
77	! 1324 2014-03-21 09:13:16Z suehring
78	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
79	!
80	! 1320 2014-03-20 08:40:49Z raasch
81	! ONLY-attribute added to USE-statements,
82	! kind-parameters added to all INTEGER and REAL declaration statements,
83	! kinds are defined in new module kinds,
84	! revision history before 2012 removed,
85	! comment fields (!:) to be used for variable explanations added to
86	! all variable declaration statements
87	!
88	! 1318 2014-03-17 13:35:16Z raasch
89	! module interfaces removed
90	!
91	! 1216 2013-08-26 09:31:42Z raasch
92	! resorting of array moved to separate routine resort_for_zx,
93	! one argument removed from the transpose_..d routines
94	!
95	! 1120 2013-04-05 15:11:35Z raasch
96	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
97	!
98	! 1036 2012-10-22 13:43:42Z raasch
99	! code put under GPL (PALM 3.9)
100	!
101	! 1003 2012-09-14 14:35:53Z raasch
102	! adjustment of array tend for cases with unequal subdomain sizes removed
103	!
104	! Revision 1.1 2001/01/05 15:08:07 raasch
105	! Initial revision
106	!
107	!
108	! Description:
109	! ------------
110	!> Calculate horizontal spectra along x and y.
111	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
112	!> case the gridpoint number along z still depends on the PE number
113	!> because transpose_xz has to be used (and possibly also
114	!> transpose_zyd needs modification).
115	!------------------------------------------------------------------------------!
116	MODULE spectra_mod
117
118	USE kinds
119
120	PRIVATE
121
122	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
123	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
124
125	INTEGER(iwp) :: average_count_sp = 0
126	INTEGER(iwp) :: dosp_time_count = 0
127	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
128
129	INTEGER(iwp) :: comp_spectra_level(100) = 999999
130
131	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
132	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
133
134	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
135	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
136	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
137
138	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
139
140	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
141
142	SAVE
143
144	INTERFACE calc_spectra
145	MODULE PROCEDURE calc_spectra
146	END INTERFACE calc_spectra
147
148	INTERFACE preprocess_spectra
149	MODULE PROCEDURE preprocess_spectra
150	END INTERFACE preprocess_spectra
151
152	INTERFACE calc_spectra_x
153	MODULE PROCEDURE calc_spectra_x
154	END INTERFACE calc_spectra_x
155
156	INTERFACE calc_spectra_y
157	MODULE PROCEDURE calc_spectra_y
158	END INTERFACE calc_spectra_y
159
160	INTERFACE spectra_check_parameters
161	MODULE PROCEDURE spectra_check_parameters
162	END INTERFACE spectra_check_parameters
163
164	INTERFACE spectra_header
165	MODULE PROCEDURE spectra_header
166	END INTERFACE spectra_header
167
168	INTERFACE spectra_init
169	MODULE PROCEDURE spectra_init
170	END INTERFACE spectra_init
171
172	INTERFACE spectra_parin
173	MODULE PROCEDURE spectra_parin
174	END INTERFACE spectra_parin
175
176	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
177	calculate_spectra, comp_spectra_level, data_output_sp, &
178	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
179	skip_time_dosp, spectra_check_parameters, spectra_direction, &
180	spectra_header, spectra_init, spectra_parin, spectrum_x, &
181	spectrum_y, var_d
182
183
184	CONTAINS
185
186	!------------------------------------------------------------------------------!
187	! Description:
188	! ------------
189	!> Parin for &spectra_par for calculating spectra
190	!------------------------------------------------------------------------------!
191	SUBROUTINE spectra_parin
192
193	USE control_parameters, &
194	ONLY: dt_data_output
195
196	IMPLICIT NONE
197
198	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
199	!< line of the parameter file
200
201	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
202	data_output_sp, dt_dosp, skip_time_dosp, &
203	spectra_direction
204
205
206	!
207	!-- Position the namelist-file at the beginning (it was already opened in
208	!-- parin), search for the namelist-group of the package and position the
209	!-- file at this line.
210	line = ' '
211
212	!
213	!-- Try to find the spectra package
214	REWIND ( 11 )
215	line = ' '
216	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
217	READ ( 11, '(A)', END=10 ) line
218	ENDDO
219	BACKSPACE ( 11 )
220
221	!
222	!-- Read namelist
223	READ ( 11, spectra_par )
224
225	!
226	!-- Default setting of dt_dosp here (instead of check_parameters), because
227	!-- its current value is needed in init_pegrid
228	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
229
230	!
231	!-- Set general switch that spectra shall be calculated
232	calculate_spectra = .TRUE.
233
234	10 CONTINUE
235
236	END SUBROUTINE spectra_parin
237
238
239
240	!------------------------------------------------------------------------------!
241	! Description:
242	! ------------
243	!> Initialization of spectra related variables
244	!------------------------------------------------------------------------------!
245	SUBROUTINE spectra_init
246
247	USE indices, &
248	ONLY: nx, ny, nzb, nzt
249
250	IMPLICIT NONE
251
252	IF ( spectra_initialized ) RETURN
253
254	IF ( dt_dosp /= 9999999.9_wp ) THEN
255	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ), &
256	spectrum_y( 1:ny/2, 1:100, 1:10 ) )
257	spectrum_x = 0.0_wp
258	spectrum_y = 0.0_wp
259
260	ALLOCATE( var_d(nzb:nzt+1) )
261	var_d = 0.0_wp
262	ENDIF
263
264	spectra_initialized = .TRUE.
265
266	END SUBROUTINE spectra_init
267
268
269
270	!------------------------------------------------------------------------------!
271	! Description:
272	! ------------
273	!> Check spectra related quantities
274	!------------------------------------------------------------------------------!
275	SUBROUTINE spectra_check_parameters
276
277	USE control_parameters, &
278	ONLY: averaging_interval, message_string, skip_time_data_output
279
280	IMPLICIT NONE
281
282	!
283	!-- Check the average interval
284	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
285	averaging_interval_sp = averaging_interval
286	ENDIF
287
288	IF ( averaging_interval_sp > dt_dosp ) THEN
289	WRITE( message_string, * ) 'averaging_interval_sp = ', &
290	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
291	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
292	ENDIF
293
294	!
295	!-- Set the default skip time interval for data output, if necessary
296	IF ( skip_time_dosp == 9999999.9_wp ) &
297	skip_time_dosp = skip_time_data_output
298
299	END SUBROUTINE spectra_check_parameters
300
301
302
303	!------------------------------------------------------------------------------!
304	! Description:
305	! ------------
306	!> Header output for spectra
307	!>
308	!> @todo Output of netcdf data format and compression level
309	!------------------------------------------------------------------------------!
310	SUBROUTINE spectra_header ( io )
311
312	USE control_parameters, &
313	ONLY: dt_averaging_input_pr
314
315	! USE netcdf_interface, &
316	! ONLY: netcdf_data_format_string, netcdf_deflate
317
318	IMPLICIT NONE
319
320	CHARACTER (LEN=40) :: output_format !< internal string
321
322	INTEGER(iwp) :: i !< internal counter
323	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
324
325	!
326	!-- Spectra output
327	IF ( dt_dosp /= 9999999.9_wp ) THEN
328	WRITE ( io, 1 )
329
330	! output_format = netcdf_data_format_string
331	! IF ( netcdf_deflate == 0 ) THEN
332	! WRITE ( io, 2 ) output_format
333	! ELSE
334	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
335	! ENDIF
336	WRITE ( io, 2 ) 'see profiles or other quantities'
337	WRITE ( io, 4 ) dt_dosp
338	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
339	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
340	( spectra_direction(i), i = 1,10 ), &
341	( comp_spectra_level(i), i = 1,100 ), &
342	averaging_interval_sp, dt_averaging_input_pr
343	ENDIF
344
345	1 FORMAT (' Spectra:')
346	2 FORMAT (' Output format: ',A/)
347	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
348	4 FORMAT (' Output every ',F7.1,' s'/)
349	5 FORMAT (' No output during initial ',F8.2,' s')
350	6 FORMAT (' Arrays: ', 10(A5,',')/ &
351	' Directions: ', 10(A5,',')/ &
352	' height levels k = ', 20(I3,',')/ &
353	' ', 20(I3,',')/ &
354	' ', 20(I3,',')/ &
355	' ', 20(I3,',')/ &
356	' ', 19(I3,','),I3,'.'/ &
357	' Time averaged over ', F7.1, ' s,' / &
358	' Profiles for the time averaging are taken every ', &
359	F6.1,' s')
360
361	END SUBROUTINE spectra_header
362
363
364
365	SUBROUTINE calc_spectra
366
367	USE arrays_3d, &
368	ONLY: d, tend
369
370	USE control_parameters, &
371	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
372
373	USE cpulog, &
374	ONLY: cpu_log, log_point
375
376	USE fft_xy, &
377	ONLY: fft_init
378
379	USE indices, &
380	ONLY: nxl, nxr, nyn, nys, nzb, nzt
381
382	USE kinds
383
384	USE pegrid, &
385	ONLY: myid, pdims
386
387	IMPLICIT NONE
388
389	INTEGER(iwp) :: m !<
390	INTEGER(iwp) :: pr !<
391
392
393	!
394	!-- Check if user gave any levels for spectra to be calculated
395	IF ( comp_spectra_level(1) == 999999 ) RETURN
396
397	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
398
399	!
400	!-- Initialize spectra related quantities
401	CALL spectra_init
402
403	!
404	!-- Initialize ffts
405	CALL fft_init
406
407	!
408	!-- Reallocate array d in required size
409	IF ( psolver(1:9) == 'multigrid' ) THEN
410	DEALLOCATE( d )
411	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
412	ENDIF
413
414	m = 1
415	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
416	!
417	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
418	!-- along x)
419	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
420
421	!
422	!-- Calculation of spectra works for cyclic boundary conditions only
423	IF ( .NOT. bc_lr_cyc ) THEN
424
425	message_string = 'non-cyclic lateral boundaries along x do'// &
426	' not & allow calculation of spectra along x'
427	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
428	ENDIF
429
430	CALL preprocess_spectra( m, pr )
431
432	#if defined( __parallel )
433	IF ( pdims(2) /= 1 ) THEN
434	CALL resort_for_zx( d, tend )
435	CALL transpose_zx( tend, d )
436	ELSE
437	CALL transpose_yxd( d, d )
438	ENDIF
439	CALL calc_spectra_x( d, pr, m )
440	#else
441	message_string = 'sorry, calculation of spectra in non paral' // &
442	'lel mode& is still not realized'
443	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
444	#endif
445
446	ENDIF
447
448	!
449	!-- Transposition from z --> y (d is rearranged only in case of a
450	!-- 1d-decomposition along x)
451	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
452
453	!
454	!-- Calculation of spectra works for cyclic boundary conditions only
455	IF ( .NOT. bc_ns_cyc ) THEN
456	IF ( myid == 0 ) THEN
457	message_string = 'non-cyclic lateral boundaries along y' // &
458	' do not & allow calculation of spectr' // &
459	'a along y'
460	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
461	ENDIF
462	CALL local_stop
463	ENDIF
464
465	CALL preprocess_spectra( m, pr )
466
467	#if defined( __parallel )
468	CALL transpose_zyd( d, d )
469	CALL calc_spectra_y( d, pr, m )
470	#else
471	message_string = 'sorry, calculation of spectra in non paral' // &
472	'lel mode& is still not realized'
473	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
474	#endif
475
476	ENDIF
477
478	!
479	!-- Increase counter for next spectrum
480	m = m + 1
481
482	ENDDO
483
484	!
485	!-- Increase counter for averaging process in routine plot_spectra
486	average_count_sp = average_count_sp + 1
487
488	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
489
490	END SUBROUTINE calc_spectra
491
492
493	!------------------------------------------------------------------------------!
494	! Description:
495	! ------------
496	!> @todo Missing subroutine description.
497	!------------------------------------------------------------------------------!
498	SUBROUTINE preprocess_spectra( m, pr )
499
500	USE arrays_3d, &
501	ONLY: d, pt, q, s, u, v, w
502
503	USE indices, &
504	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
505
506	USE kinds
507
508	#if defined( __parallel )
509	#if defined( __mpifh )
510	INCLUDE "mpif.h"
511	#else
512	USE MPI
513	#endif
514	#endif
515	USE pegrid, &
516	ONLY: collective_wait, comm2d, ierr
517
518	USE statistics, &
519	ONLY: hom
520
521
522	IMPLICIT NONE
523
524	INTEGER(iwp) :: i !<
525	INTEGER(iwp) :: j !<
526	INTEGER(iwp) :: k !<
527	INTEGER(iwp) :: m !<
528	INTEGER(iwp) :: pr !<
529
530	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
531
532	SELECT CASE ( TRIM( data_output_sp(m) ) )
533
534	CASE ( 'u' )
535	pr = 1
536	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
537
538	CASE ( 'v' )
539	pr = 2
540	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
541
542	CASE ( 'w' )
543	pr = 3
544	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
545
546	CASE ( 'pt' )
547	pr = 4
548	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
549
550	CASE ( 'q' )
551	pr = 41
552	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
553
554	CASE ( 's' )
555	pr = 117
556	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
557
558	CASE DEFAULT
559	!
560	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
561	!-- contains a wrong character string or if the user has coded a special
562	!-- case in the user interface. There, the subroutine user_spectra
563	!-- checks which of these two conditions applies.
564	CALL user_spectra( 'preprocess', m, pr )
565
566	END SELECT
567
568	!
569	!-- Subtract horizontal mean from the array, for which spectra have to be
570	!-- calculated. Moreover, calculate variance of the respective quantitiy,
571	!-- later used for normalizing spectra output.
572	var_d_l(:) = 0.0_wp
573	DO i = nxl, nxr
574	DO j = nys, nyn
575	DO k = nzb+1, nzt
576	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
577	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
578	ENDDO
579	ENDDO
580	ENDDO
581	!
582	!-- Compute total variance from local variances
583	var_d(:) = 0.0_wp
584	#if defined( __parallel )
585	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
586	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
587	comm2d, ierr )
588	#else
589	var_d(:) = var_d_l(:)
590	#endif
591	var_d(:) = var_d(:) / ngp_2dh(0)
592
593	END SUBROUTINE preprocess_spectra
594
595
596	!------------------------------------------------------------------------------!
597	! Description:
598	! ------------
599	!> @todo Missing subroutine description.
600	!------------------------------------------------------------------------------!
601	SUBROUTINE calc_spectra_x( ddd, pr, m )
602
603	USE control_parameters, &
604	ONLY: fft_method
605
606	USE fft_xy, &
607	ONLY: fft_x_1d
608
609	USE grid_variables, &
610	ONLY: dx
611
612	USE indices, &
613	ONLY: nx, ny
614
615	USE kinds
616
617	#if defined( __parallel )
618	#if defined( __mpifh )
619	INCLUDE "mpif.h"
620	#else
621	USE MPI
622	#endif
623	#endif
624	USE pegrid, &
625	ONLY: comm2d, ierr, myid
626
627	USE transpose_indices, &
628	ONLY: nyn_x, nys_x, nzb_x, nzt_x
629
630
631	IMPLICIT NONE
632
633	INTEGER(iwp) :: i !<
634	INTEGER(iwp) :: ishape(1) !<
635	INTEGER(iwp) :: j !<
636	INTEGER(iwp) :: k !<
637	INTEGER(iwp) :: m !<
638	INTEGER(iwp) :: n !<
639	INTEGER(iwp) :: pr !<
640
641	REAL(wp) :: exponent !<
642	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
643
644	REAL(wp), DIMENSION(0:nx) :: work !<
645
646	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
647
648	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
649
650	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
651
652	!
653	!-- Exponent for geometric average
654	exponent = 1.0_wp / ( ny + 1.0_wp )
655
656	!
657	!-- Loop over all levels defined by the user
658	n = 1
659	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
660
661	k = comp_spectra_level(n)
662
663	!
664	!-- Calculate FFT only if the corresponding level is situated on this PE
665	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
666
667	DO j = nys_x, nyn_x
668
669	work = ddd(0:nx,j,k)
670	CALL fft_x_1d( work, 'forward' )
671
672	ddd(0,j,k) = dx * work(0)**2
673	DO i = 1, nx/2
674	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
675	ENDDO
676
677	ENDDO
678
679	!
680	!-- Local sum and geometric average of these spectra
681	!-- (WARNING: no global sum should be performed, because floating
682	!-- point overflow may occur)
683	DO i = 0, nx/2
684
685	sums_spectra_l(i) = 1.0_wp
686	DO j = nys_x, nyn_x
687	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
688	ENDDO
689
690	ENDDO
691
692	ELSE
693
694	sums_spectra_l = 1.0_wp
695
696	ENDIF
697
698	!
699	!-- Global sum of spectra on PE0 (from where they are written on file)
700	sums_spectra(:,n) = 0.0_wp
701	#if defined( __parallel )
702	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
703	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
704	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
705	#else
706	sums_spectra(:,n) = sums_spectra_l
707	#endif
708	!
709	!-- Normalize spectra by variance
710	sum_spec_dum = SUM( sums_spectra(1:nx/2,n) )
711
712	IF ( sum_spec_dum /= 0.0_wp ) THEN
713	sums_spectra(1:nx/2,n) = sums_spectra(1:nx/2,n) * &
714	var_d(k) / sum_spec_dum
715	ENDIF
716	n = n + 1
717
718	ENDDO
719	n = n - 1
720
721	IF ( myid == 0 ) THEN
722	!
723	!-- Sum of spectra for later averaging (see routine data_output_spectra)
724	DO i = 1, nx/2
725	DO k = 1, n
726	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
727	ENDDO
728	ENDDO
729
730	ENDIF
731	!
732	!-- n_sp_x is needed by data_output_spectra_x
733	n_sp_x = n
734
735	END SUBROUTINE calc_spectra_x
736
737
738	!------------------------------------------------------------------------------!
739	! Description:
740	! ------------
741	!> @todo Missing subroutine description.
742	!------------------------------------------------------------------------------!
743	SUBROUTINE calc_spectra_y( ddd, pr, m )
744
745	USE control_parameters, &
746	ONLY: fft_method
747
748	USE fft_xy, &
749	ONLY: fft_y_1d
750
751	USE grid_variables, &
752	ONLY: dy
753
754	USE indices, &
755	ONLY: nx, ny
756
757	USE kinds
758
759	#if defined( __parallel )
760	#if defined( __mpifh )
761	INCLUDE "mpif.h"
762	#else
763	USE MPI
764	#endif
765	#endif
766	USE pegrid, &
767	ONLY: comm2d, ierr, myid
768
769	USE transpose_indices, &
770	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
771
772
773	IMPLICIT NONE
774
775	INTEGER(iwp) :: i !<
776	INTEGER(iwp) :: j !<
777	INTEGER(iwp) :: jshape(1) !<
778	INTEGER(iwp) :: k !<
779	INTEGER(iwp) :: m !<
780	INTEGER(iwp) :: n !<
781	INTEGER(iwp) :: pr !<
782
783	REAL(wp) :: exponent !<
784	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
785
786	REAL(wp), DIMENSION(0:ny) :: work !<
787
788	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
789
790	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
791
792	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
793
794
795	!
796	!-- Exponent for geometric average
797	exponent = 1.0_wp / ( nx + 1.0_wp )
798
799	!
800	!-- Loop over all levels defined by the user
801	n = 1
802	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
803
804	k = comp_spectra_level(n)
805
806	!
807	!-- Calculate FFT only if the corresponding level is situated on this PE
808	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
809
810	DO i = nxl_yd, nxr_yd
811
812	work = ddd(0:ny,i,k)
813	CALL fft_y_1d( work, 'forward' )
814
815	ddd(0,i,k) = dy * work(0)**2
816	DO j = 1, ny/2
817	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
818	ENDDO
819
820	ENDDO
821
822	!
823	!-- Local sum and geometric average of these spectra
824	!-- (WARNING: no global sum should be performed, because floating
825	!-- point overflow may occur)
826	DO j = 0, ny/2
827
828	sums_spectra_l(j) = 1.0_wp
829	DO i = nxl_yd, nxr_yd
830	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
831	ENDDO
832
833	ENDDO
834
835	ELSE
836
837	sums_spectra_l = 1.0_wp
838
839	ENDIF
840
841	!
842	!-- Global sum of spectra on PE0 (from where they are written on file)
843	sums_spectra(:,n) = 0.0_wp
844	#if defined( __parallel )
845	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
846	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
847	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
848	#else
849	sums_spectra(:,n) = sums_spectra_l
850	#endif
851	!
852	!-- Normalize spectra by variance
853	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
854	IF ( sum_spec_dum /= 0.0_wp ) THEN
855	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * &
856	var_d(k) / sum_spec_dum
857	ENDIF
858	n = n + 1
859
860	ENDDO
861	n = n - 1
862
863
864	IF ( myid == 0 ) THEN
865	!
866	!-- Sum of spectra for later averaging (see routine data_output_spectra)
867	DO j = 1, ny/2
868	DO k = 1, n
869	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
870	ENDDO
871	ENDDO
872
873	ENDIF
874
875	!
876	!-- n_sp_y is needed by data_output_spectra_y
877	n_sp_y = n
878
879	END SUBROUTINE calc_spectra_y
880
881	END MODULE spectra_mod

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