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source: palm/trunk/SOURCE/spectra_mod.f90 @ 4321

Last change on this file since 4321 was 4182, checked in by scharf, 5 years ago
corrected "Former revisions" section minor formatting in "Former revisions" section added "Author" section
Property svn:keywords set to `Id`
File size: 26.3 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 1997-2019 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 4182 2019-08-22 15:20:23Z pavelkrc $
27	! Corrected "Former revisions" section
28	!
29	! 3805 2019-03-20 15:26:35Z raasch
30	! unused variable removed
31	!
32	! 3655 2019-01-07 16:51:22Z knoop
33	! Renamed output variables
34	!
35	! Revision 1.1 2001/01/05 15:08:07 raasch
36	! Initial revision
37	!
38	!
39	! Description:
40	! ------------
41	!> Calculate horizontal spectra along x and y.
42	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
43	!> case the gridpoint number along z still depends on the PE number
44	!> because transpose_xz has to be used (and possibly also
45	!> transpose_zyd needs modification).
46	!------------------------------------------------------------------------------!
47	MODULE spectra_mod
48
49	USE kinds
50
51	PRIVATE
52
53	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
54	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
55
56	INTEGER(iwp) :: average_count_sp = 0
57	INTEGER(iwp) :: dosp_time_count = 0
58	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
59
60	INTEGER(iwp) :: comp_spectra_level(100) = 999999
61
62	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
63	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
64
65	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
66	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
67	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
68
69	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
70
71	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
72
73	SAVE
74
75	INTERFACE calc_spectra
76	MODULE PROCEDURE calc_spectra
77	END INTERFACE calc_spectra
78
79	INTERFACE preprocess_spectra
80	MODULE PROCEDURE preprocess_spectra
81	END INTERFACE preprocess_spectra
82
83	INTERFACE calc_spectra_x
84	MODULE PROCEDURE calc_spectra_x
85	END INTERFACE calc_spectra_x
86
87	INTERFACE calc_spectra_y
88	MODULE PROCEDURE calc_spectra_y
89	END INTERFACE calc_spectra_y
90
91	INTERFACE spectra_check_parameters
92	MODULE PROCEDURE spectra_check_parameters
93	END INTERFACE spectra_check_parameters
94
95	INTERFACE spectra_header
96	MODULE PROCEDURE spectra_header
97	END INTERFACE spectra_header
98
99	INTERFACE spectra_init
100	MODULE PROCEDURE spectra_init
101	END INTERFACE spectra_init
102
103	INTERFACE spectra_parin
104	MODULE PROCEDURE spectra_parin
105	END INTERFACE spectra_parin
106
107	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
108	calculate_spectra, comp_spectra_level, data_output_sp, &
109	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, &
110	skip_time_dosp, spectra_check_parameters, spectra_direction, &
111	spectra_header, spectra_init, spectra_parin, spectrum_x, &
112	spectrum_y, var_d
113
114
115	CONTAINS
116
117	!------------------------------------------------------------------------------!
118	! Description:
119	! ------------
120	!> Parin for &spectra_par for calculating spectra
121	!------------------------------------------------------------------------------!
122	SUBROUTINE spectra_parin
123
124	USE control_parameters, &
125	ONLY: dt_data_output, message_string
126
127	IMPLICIT NONE
128
129	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
130	!< line of the parameter file
131
132	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
133	data_output_sp, dt_dosp, skip_time_dosp, &
134	spectra_direction
135
136	NAMELIST /spectra_parameters/ &
137	averaging_interval_sp, comp_spectra_level, &
138	data_output_sp, dt_dosp, skip_time_dosp, &
139	spectra_direction
140	!
141	!-- Position the namelist-file at the beginning (it was already opened in
142	!-- parin), search for the namelist-group of the package and position the
143	!-- file at this line.
144	line = ' '
145
146	!
147	!-- Try to find the spectra package
148	REWIND ( 11 )
149	line = ' '
150	DO WHILE ( INDEX( line, '&spectra_parameters' ) == 0 )
151	READ ( 11, '(A)', END=12 ) line
152	ENDDO
153	BACKSPACE ( 11 )
154
155	!
156	!-- Read namelist
157	READ ( 11, spectra_parameters, ERR = 10 )
158
159	!
160	!-- Default setting of dt_dosp here (instead of check_parameters), because
161	!-- its current value is needed in init_pegrid
162	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
163
164	!
165	!-- Set general switch that spectra shall be calculated
166	calculate_spectra = .TRUE.
167
168	GOTO 14
169
170	10 BACKSPACE( 11 )
171	READ( 11 , '(A)') line
172	CALL parin_fail_message( 'spectra_parameters', line )
173	!
174	!-- Try to find the old namelist
175	12 REWIND ( 11 )
176	line = ' '
177	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
178	READ ( 11, '(A)', END=14 ) line
179	ENDDO
180	BACKSPACE ( 11 )
181
182	!
183	!-- Read namelist
184	READ ( 11, spectra_par, ERR = 13, END = 14 )
185
186
187	message_string = 'namelist spectra_par is deprecated and will be ' // &
188	'removed in near future. Please use namelist ' // &
189	'spectra_parameters instead'
190	CALL message( 'spectra_parin', 'PA0487', 0, 1, 0, 6, 0 )
191	!
192	!-- Default setting of dt_dosp here (instead of check_parameters), because
193	!-- its current value is needed in init_pegrid
194	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
195
196	!
197	!-- Set general switch that spectra shall be calculated
198	calculate_spectra = .TRUE.
199
200	GOTO 14
201
202	13 BACKSPACE( 11 )
203	READ( 11 , '(A)') line
204	CALL parin_fail_message( 'spectra_par', line )
205
206
207	14 CONTINUE
208
209	END SUBROUTINE spectra_parin
210
211
212
213	!------------------------------------------------------------------------------!
214	! Description:
215	! ------------
216	!> Initialization of spectra related variables
217	!------------------------------------------------------------------------------!
218	SUBROUTINE spectra_init
219
220	USE indices, &
221	ONLY: nx, ny, nzb, nzt
222
223	IMPLICIT NONE
224
225	IF ( spectra_initialized ) RETURN
226
227	IF ( dt_dosp /= 9999999.9_wp ) THEN
228
229	IF ( .NOT. ALLOCATED( spectrum_x ) ) THEN
230	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ) )
231	spectrum_x = 0.0_wp
232	ENDIF
233
234	IF ( .NOT. ALLOCATED( spectrum_y ) ) THEN
235	ALLOCATE( spectrum_y( 1:ny/2, 1:100, 1:10 ) )
236	spectrum_y = 0.0_wp
237	ENDIF
238
239	ALLOCATE( var_d(nzb:nzt+1) )
240	var_d = 0.0_wp
241	ENDIF
242
243	spectra_initialized = .TRUE.
244
245	END SUBROUTINE spectra_init
246
247
248
249	!------------------------------------------------------------------------------!
250	! Description:
251	! ------------
252	!> Check spectra related quantities
253	!------------------------------------------------------------------------------!
254	SUBROUTINE spectra_check_parameters
255
256	USE control_parameters, &
257	ONLY: averaging_interval, message_string, skip_time_data_output
258
259	IMPLICIT NONE
260
261	!
262	!-- Check the average interval
263	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
264	averaging_interval_sp = averaging_interval
265	ENDIF
266
267	IF ( averaging_interval_sp > dt_dosp ) THEN
268	WRITE( message_string, * ) 'averaging_interval_sp = ', &
269	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
270	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
271	ENDIF
272
273	!
274	!-- Set the default skip time interval for data output, if necessary
275	IF ( skip_time_dosp == 9999999.9_wp ) &
276	skip_time_dosp = skip_time_data_output
277
278	END SUBROUTINE spectra_check_parameters
279
280
281
282	!------------------------------------------------------------------------------!
283	! Description:
284	! ------------
285	!> Header output for spectra
286	!>
287	!> @todo Output of netcdf data format and compression level
288	!------------------------------------------------------------------------------!
289	SUBROUTINE spectra_header ( io )
290
291	USE control_parameters, &
292	ONLY: dt_averaging_input_pr
293
294	! USE netcdf_interface, &
295	! ONLY: netcdf_data_format_string, netcdf_deflate
296
297	IMPLICIT NONE
298
299	! CHARACTER (LEN=40) :: output_format !< internal string
300
301	INTEGER(iwp) :: i !< internal counter
302	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
303
304	!
305	!-- Spectra output
306	IF ( dt_dosp /= 9999999.9_wp ) THEN
307	WRITE ( io, 1 )
308
309	! output_format = netcdf_data_format_string
310	! IF ( netcdf_deflate == 0 ) THEN
311	! WRITE ( io, 2 ) output_format
312	! ELSE
313	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
314	! ENDIF
315	WRITE ( io, 2 ) 'see profiles or other quantities'
316	WRITE ( io, 4 ) dt_dosp
317	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
318	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
319	( spectra_direction(i), i = 1,10 ), &
320	( comp_spectra_level(i), i = 1,100 ), &
321	averaging_interval_sp, dt_averaging_input_pr
322	ENDIF
323
324	1 FORMAT (' Spectra:')
325	2 FORMAT (' Output format: ',A/)
326	! 3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
327	4 FORMAT (' Output every ',F7.1,' s'/)
328	5 FORMAT (' No output during initial ',F8.2,' s')
329	6 FORMAT (' Arrays: ', 10(A5,',')/ &
330	' Directions: ', 10(A5,',')/ &
331	' height levels k = ', 20(I3,',')/ &
332	' ', 20(I3,',')/ &
333	' ', 20(I3,',')/ &
334	' ', 20(I3,',')/ &
335	' ', 19(I3,','),I3,'.'/ &
336	' Time averaged over ', F7.1, ' s,' / &
337	' Profiles for the time averaging are taken every ', &
338	F6.1,' s')
339
340	END SUBROUTINE spectra_header
341
342
343
344	SUBROUTINE calc_spectra
345
346	USE arrays_3d, &
347	ONLY: d, tend
348
349	USE control_parameters, &
350	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
351
352	USE cpulog, &
353	ONLY: cpu_log, log_point
354
355	USE fft_xy, &
356	ONLY: fft_init
357
358	USE indices, &
359	ONLY: nxl, nxr, nyn, nys, nzb, nzt
360
361	USE kinds
362
363	USE pegrid, &
364	ONLY: myid, pdims
365
366	IMPLICIT NONE
367
368	INTEGER(iwp) :: m !<
369	INTEGER(iwp) :: pr !<
370
371
372	!
373	!-- Check if user gave any levels for spectra to be calculated
374	IF ( comp_spectra_level(1) == 999999 ) RETURN
375
376	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
377
378	!
379	!-- Initialize spectra related quantities
380	CALL spectra_init
381
382	!
383	!-- Initialize ffts
384	CALL fft_init
385
386	!
387	!-- Reallocate array d in required size
388	IF ( psolver(1:9) == 'multigrid' ) THEN
389	DEALLOCATE( d )
390	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
391	ENDIF
392
393	m = 1
394	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
395	!
396	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
397	!-- along x)
398	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
399
400	!
401	!-- Calculation of spectra works for cyclic boundary conditions only
402	IF ( .NOT. bc_lr_cyc ) THEN
403
404	message_string = 'non-cyclic lateral boundaries along x do'// &
405	' not & allow calculation of spectra along x'
406	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
407	ENDIF
408
409	CALL preprocess_spectra( m, pr )
410
411	#if defined( __parallel )
412	IF ( pdims(2) /= 1 ) THEN
413	CALL resort_for_zx( d, tend )
414	CALL transpose_zx( tend, d )
415	ELSE
416	CALL transpose_yxd( d, d )
417	ENDIF
418	CALL calc_spectra_x( d, m )
419	#else
420	message_string = 'sorry, calculation of spectra in non paral' // &
421	'lel mode& is still not realized'
422	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
423	#endif
424
425	ENDIF
426
427	!
428	!-- Transposition from z --> y (d is rearranged only in case of a
429	!-- 1d-decomposition along x)
430	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
431
432	!
433	!-- Calculation of spectra works for cyclic boundary conditions only
434	IF ( .NOT. bc_ns_cyc ) THEN
435	IF ( myid == 0 ) THEN
436	message_string = 'non-cyclic lateral boundaries along y' // &
437	' do not & allow calculation of spectra' //&
438	' along y'
439	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
440	ENDIF
441	CALL local_stop
442	ENDIF
443
444	CALL preprocess_spectra( m, pr )
445
446	#if defined( __parallel )
447	CALL transpose_zyd( d, d )
448	CALL calc_spectra_y( d, m )
449	#else
450	message_string = 'sorry, calculation of spectra in non paral' // &
451	'lel mode& is still not realized'
452	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
453	#endif
454
455	ENDIF
456
457	!
458	!-- Increase counter for next spectrum
459	m = m + 1
460
461	ENDDO
462
463	!
464	!-- Increase counter for averaging process in routine plot_spectra
465	average_count_sp = average_count_sp + 1
466
467	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
468
469	END SUBROUTINE calc_spectra
470
471
472	!------------------------------------------------------------------------------!
473	! Description:
474	! ------------
475	!> @todo Missing subroutine description.
476	!------------------------------------------------------------------------------!
477	SUBROUTINE preprocess_spectra( m, pr )
478
479	USE arrays_3d, &
480	ONLY: d, pt, q, s, u, v, w
481
482	USE indices, &
483	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
484
485	USE kinds
486
487	#if defined( __parallel )
488	#if !defined( __mpifh )
489	USE MPI
490	#endif
491	#endif
492
493	USE pegrid, &
494	ONLY: collective_wait, comm2d, ierr
495
496	USE statistics, &
497	ONLY: hom
498
499
500	IMPLICIT NONE
501
502	#if defined( __parallel )
503	#if defined( __mpifh )
504	INCLUDE "mpif.h"
505	#endif
506	#endif
507
508	INTEGER(iwp) :: i !<
509	INTEGER(iwp) :: j !<
510	INTEGER(iwp) :: k !<
511	INTEGER(iwp) :: m !<
512	INTEGER(iwp) :: pr !<
513
514	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
515
516	SELECT CASE ( TRIM( data_output_sp(m) ) )
517
518	CASE ( 'u' )
519	pr = 1
520	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
521
522	CASE ( 'v' )
523	pr = 2
524	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
525
526	CASE ( 'w' )
527	pr = 3
528	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
529
530	CASE ( 'theta' )
531	pr = 4
532	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
533
534	CASE ( 'q' )
535	pr = 41
536	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
537
538	CASE ( 's' )
539	pr = 117
540	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
541
542	CASE DEFAULT
543	!
544	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
545	!-- contains a wrong character string or if the user has coded a special
546	!-- case in the user interface. There, the subroutine user_spectra
547	!-- checks which of these two conditions applies.
548	CALL user_spectra( 'preprocess', m, pr )
549
550	END SELECT
551
552	!
553	!-- Subtract horizontal mean from the array, for which spectra have to be
554	!-- calculated. Moreover, calculate variance of the respective quantitiy,
555	!-- later used for normalizing spectra output.
556	var_d_l(:) = 0.0_wp
557	DO i = nxl, nxr
558	DO j = nys, nyn
559	DO k = nzb+1, nzt
560	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
561	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
562	ENDDO
563	ENDDO
564	ENDDO
565	!
566	!-- Compute total variance from local variances
567	var_d(:) = 0.0_wp
568	#if defined( __parallel )
569	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
570	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
571	comm2d, ierr )
572	#else
573	var_d(:) = var_d_l(:)
574	#endif
575	var_d(:) = var_d(:) / ngp_2dh(0)
576
577	END SUBROUTINE preprocess_spectra
578
579
580	!------------------------------------------------------------------------------!
581	! Description:
582	! ------------
583	!> @todo Missing subroutine description.
584	!------------------------------------------------------------------------------!
585	SUBROUTINE calc_spectra_x( ddd, m )
586
587	USE fft_xy, &
588	ONLY: fft_x_1d
589
590	USE grid_variables, &
591	ONLY: dx
592
593	USE indices, &
594	ONLY: nx, ny
595
596	USE kinds
597
598	#if defined( __parallel )
599	#if !defined( __mpifh )
600	USE MPI
601	#endif
602	#endif
603
604	USE pegrid, &
605	ONLY: comm2d, ierr, myid
606
607	USE transpose_indices, &
608	ONLY: nyn_x, nys_x, nzb_x, nzt_x
609
610
611	IMPLICIT NONE
612
613	#if defined( __parallel )
614	#if defined( __mpifh )
615	INCLUDE "mpif.h"
616	#endif
617	#endif
618
619	INTEGER(iwp) :: i !<
620	INTEGER(iwp) :: j !<
621	INTEGER(iwp) :: k !<
622	INTEGER(iwp) :: m !<
623	INTEGER(iwp) :: n !<
624
625	REAL(wp) :: exponent !<
626	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
627
628	REAL(wp), DIMENSION(0:nx) :: work !<
629
630	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
631
632	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
633
634	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
635
636	!
637	!-- Exponent for geometric average
638	exponent = 1.0_wp / ( ny + 1.0_wp )
639
640	!
641	!-- Loop over all levels defined by the user
642	n = 1
643	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
644
645	k = comp_spectra_level(n)
646
647	!
648	!-- Calculate FFT only if the corresponding level is situated on this PE
649	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
650
651	DO j = nys_x, nyn_x
652
653	work = ddd(0:nx,j,k)
654	CALL fft_x_1d( work, 'forward' )
655
656	ddd(0,j,k) = dx * work(0)**2
657	DO i = 1, nx/2
658	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
659	ENDDO
660
661	ENDDO
662
663	!
664	!-- Local sum and geometric average of these spectra
665	!-- (WARNING: no global sum should be performed, because floating
666	!-- point overflow may occur)
667	DO i = 0, nx/2
668
669	sums_spectra_l(i) = 1.0_wp
670	DO j = nys_x, nyn_x
671	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
672	ENDDO
673
674	ENDDO
675
676	ELSE
677
678	sums_spectra_l = 1.0_wp
679
680	ENDIF
681
682	!
683	!-- Global sum of spectra on PE0 (from where they are written on file)
684	sums_spectra(:,n) = 0.0_wp
685	#if defined( __parallel )
686	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
687	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
688	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
689	#else
690	sums_spectra(:,n) = sums_spectra_l
691	#endif
692	!
693	!-- Normalize spectra by variance
694	sum_spec_dum = SUM( sums_spectra(1:nx/2,n) )
695
696	IF ( sum_spec_dum /= 0.0_wp ) THEN
697	sums_spectra(1:nx/2,n) = sums_spectra(1:nx/2,n) * &
698	var_d(k) / sum_spec_dum
699	ENDIF
700	n = n + 1
701
702	ENDDO
703	n = n - 1
704
705	IF ( myid == 0 ) THEN
706	!
707	!-- Sum of spectra for later averaging (see routine data_output_spectra)
708	DO i = 1, nx/2
709	DO k = 1, n
710	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
711	ENDDO
712	ENDDO
713
714	ENDIF
715	!
716	!-- n_sp_x is needed by data_output_spectra_x
717	n_sp_x = n
718
719	END SUBROUTINE calc_spectra_x
720
721
722	!------------------------------------------------------------------------------!
723	! Description:
724	! ------------
725	!> @todo Missing subroutine description.
726	!------------------------------------------------------------------------------!
727	SUBROUTINE calc_spectra_y( ddd, m )
728
729	USE fft_xy, &
730	ONLY: fft_y_1d
731
732	USE grid_variables, &
733	ONLY: dy
734
735	USE indices, &
736	ONLY: nx, ny
737
738	USE kinds
739
740	#if defined( __parallel )
741	#if !defined( __mpifh )
742	USE MPI
743	#endif
744	#endif
745
746	USE pegrid, &
747	ONLY: comm2d, ierr, myid
748
749	USE transpose_indices, &
750	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
751
752
753	IMPLICIT NONE
754
755	#if defined( __parallel )
756	#if defined( __mpifh )
757	INCLUDE "mpif.h"
758	#endif
759	#endif
760
761	INTEGER(iwp) :: i !<
762	INTEGER(iwp) :: j !<
763	INTEGER(iwp) :: k !<
764	INTEGER(iwp) :: m !<
765	INTEGER(iwp) :: n !<
766
767	REAL(wp) :: exponent !<
768	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
769
770	REAL(wp), DIMENSION(0:ny) :: work !<
771
772	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
773
774	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
775
776	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
777
778
779	!
780	!-- Exponent for geometric average
781	exponent = 1.0_wp / ( nx + 1.0_wp )
782
783	!
784	!-- Loop over all levels defined by the user
785	n = 1
786	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
787
788	k = comp_spectra_level(n)
789
790	!
791	!-- Calculate FFT only if the corresponding level is situated on this PE
792	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
793
794	DO i = nxl_yd, nxr_yd
795
796	work = ddd(0:ny,i,k)
797	CALL fft_y_1d( work, 'forward' )
798
799	ddd(0,i,k) = dy * work(0)**2
800	DO j = 1, ny/2
801	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
802	ENDDO
803
804	ENDDO
805
806	!
807	!-- Local sum and geometric average of these spectra
808	!-- (WARNING: no global sum should be performed, because floating
809	!-- point overflow may occur)
810	DO j = 0, ny/2
811
812	sums_spectra_l(j) = 1.0_wp
813	DO i = nxl_yd, nxr_yd
814	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
815	ENDDO
816
817	ENDDO
818
819	ELSE
820
821	sums_spectra_l = 1.0_wp
822
823	ENDIF
824
825	!
826	!-- Global sum of spectra on PE0 (from where they are written on file)
827	sums_spectra(:,n) = 0.0_wp
828	#if defined( __parallel )
829	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
830	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
831	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
832	#else
833	sums_spectra(:,n) = sums_spectra_l
834	#endif
835	!
836	!-- Normalize spectra by variance
837	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
838	IF ( sum_spec_dum /= 0.0_wp ) THEN
839	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * &
840	var_d(k) / sum_spec_dum
841	ENDIF
842	n = n + 1
843
844	ENDDO
845	n = n - 1
846
847
848	IF ( myid == 0 ) THEN
849	!
850	!-- Sum of spectra for later averaging (see routine data_output_spectra)
851	DO j = 1, ny/2
852	DO k = 1, n
853	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
854	ENDDO
855	ENDDO
856
857	ENDIF
858
859	!
860	!-- n_sp_y is needed by data_output_spectra_y
861	n_sp_y = n
862
863	END SUBROUTINE calc_spectra_y
864
865	END MODULE spectra_mod

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