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source: palm/trunk/SOURCE/spectra_mod.f90 @ 2849

Last change on this file since 2849 was 2841, checked in by knoop, 7 years ago
Bugfix: wrong placement of include 'mpif.h' corrected
Property svn:keywords set to `Id`
File size: 27.4 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 2841 2018-02-27 15:02:57Z Giersch $
27	! Bugfix: wrong placement of include 'mpif.h' corrected
28	!
29	! 2718 2018-01-02 08:49:38Z maronga
30	! Corrected "Former revisions" section
31	!
32	! 2696 2017-12-14 17:12:51Z kanani
33	! Change in file header (GPL part)
34	!
35	! 2216 2017-04-28 12:54:20Z suehring
36	!
37	! 2193 2017-03-22 04:21:28Z raasch
38	! Normalization of spectra output adjusted
39	!
40	! 2192 2017-03-22 04:14:10Z raasch
41	! bugfix for index bounds of arrays spectrum_x and spectrum_y
42	!
43	! 2000 2016-08-20 18:09:15Z knoop
44	! Forced header and separation lines into 80 columns
45	!
46	! 1960 2016-07-12 16:34:24Z suehring
47	! Additional default spectra for passive scalar
48	!
49	! 1833 2016-04-07 14:23:03Z raasch
50	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
51	! here
52	!
53	! 1815 2016-04-06 13:49:59Z raasch
54	! bugfix: preprocessor directives included for the non-parallel case
55	!
56	! 1808 2016-04-05 19:44:00Z raasch
57	! MPI module used by default on all machines
58	!
59	! 1786 2016-03-08 05:49:27Z raasch
60	! routine is modularized, filename renamed from calc_spectra to spectrum,
61	! privious data module spectrum moved from modules.f90 to here,
62	! cpp-direktives for spectra removed, immediate return if no spectra levels are
63	! given
64	!
65	! 1682 2015-10-07 23:56:08Z knoop
66	! Code annotations made doxygen readable
67	!
68	! 1575 2015-03-27 09:56:27Z raasch
69	! adjustments for psolver-queries
70	!
71	! 1511 2014-12-16 15:54:16Z suehring
72	! Bugfix concerning spectra normalization
73	!
74	! 1431 2014-07-15 14:47:17Z suehring
75	! Wavenumber-integrated spectra coincide with respective variance.
76	!
77	! 1342 2014-03-26 17:04:47Z kanani
78	! REAL constants defined as wp-kinds
79	!
80	! 1324 2014-03-21 09:13:16Z suehring
81	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
82	!
83	! 1320 2014-03-20 08:40:49Z raasch
84	! ONLY-attribute added to USE-statements,
85	! kind-parameters added to all INTEGER and REAL declaration statements,
86	! kinds are defined in new module kinds,
87	! revision history before 2012 removed,
88	! comment fields (!:) to be used for variable explanations added to
89	! all variable declaration statements
90	!
91	! 1318 2014-03-17 13:35:16Z raasch
92	! module interfaces removed
93	!
94	! 1216 2013-08-26 09:31:42Z raasch
95	! resorting of array moved to separate routine resort_for_zx,
96	! one argument removed from the transpose_..d routines
97	!
98	! 1120 2013-04-05 15:11:35Z raasch
99	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
100	!
101	! 1036 2012-10-22 13:43:42Z raasch
102	! code put under GPL (PALM 3.9)
103	!
104	! 1003 2012-09-14 14:35:53Z raasch
105	! adjustment of array tend for cases with unequal subdomain sizes removed
106	!
107	! Revision 1.1 2001/01/05 15:08:07 raasch
108	! Initial revision
109	!
110	!
111	! Description:
112	! ------------
113	!> Calculate horizontal spectra along x and y.
114	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
115	!> case the gridpoint number along z still depends on the PE number
116	!> because transpose_xz has to be used (and possibly also
117	!> transpose_zyd needs modification).
118	!------------------------------------------------------------------------------!
119	MODULE spectra_mod
120
121	USE kinds
122
123	PRIVATE
124
125	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
126	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
127
128	INTEGER(iwp) :: average_count_sp = 0
129	INTEGER(iwp) :: dosp_time_count = 0
130	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
131
132	INTEGER(iwp) :: comp_spectra_level(100) = 999999
133
134	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
135	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
136
137	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
138	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
139	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
140
141	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
142
143	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
144
145	SAVE
146
147	INTERFACE calc_spectra
148	MODULE PROCEDURE calc_spectra
149	END INTERFACE calc_spectra
150
151	INTERFACE preprocess_spectra
152	MODULE PROCEDURE preprocess_spectra
153	END INTERFACE preprocess_spectra
154
155	INTERFACE calc_spectra_x
156	MODULE PROCEDURE calc_spectra_x
157	END INTERFACE calc_spectra_x
158
159	INTERFACE calc_spectra_y
160	MODULE PROCEDURE calc_spectra_y
161	END INTERFACE calc_spectra_y
162
163	INTERFACE spectra_check_parameters
164	MODULE PROCEDURE spectra_check_parameters
165	END INTERFACE spectra_check_parameters
166
167	INTERFACE spectra_header
168	MODULE PROCEDURE spectra_header
169	END INTERFACE spectra_header
170
171	INTERFACE spectra_init
172	MODULE PROCEDURE spectra_init
173	END INTERFACE spectra_init
174
175	INTERFACE spectra_parin
176	MODULE PROCEDURE spectra_parin
177	END INTERFACE spectra_parin
178
179	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
180	calculate_spectra, comp_spectra_level, data_output_sp, &
181	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
182	skip_time_dosp, spectra_check_parameters, spectra_direction, &
183	spectra_header, spectra_init, spectra_parin, spectrum_x, &
184	spectrum_y, var_d
185
186
187	CONTAINS
188
189	!------------------------------------------------------------------------------!
190	! Description:
191	! ------------
192	!> Parin for &spectra_par for calculating spectra
193	!------------------------------------------------------------------------------!
194	SUBROUTINE spectra_parin
195
196	USE control_parameters, &
197	ONLY: dt_data_output
198
199	IMPLICIT NONE
200
201	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
202	!< line of the parameter file
203
204	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
205	data_output_sp, dt_dosp, skip_time_dosp, &
206	spectra_direction
207
208
209	!
210	!-- Position the namelist-file at the beginning (it was already opened in
211	!-- parin), search for the namelist-group of the package and position the
212	!-- file at this line.
213	line = ' '
214
215	!
216	!-- Try to find the spectra package
217	REWIND ( 11 )
218	line = ' '
219	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
220	READ ( 11, '(A)', END=10 ) line
221	ENDDO
222	BACKSPACE ( 11 )
223
224	!
225	!-- Read namelist
226	READ ( 11, spectra_par )
227
228	!
229	!-- Default setting of dt_dosp here (instead of check_parameters), because
230	!-- its current value is needed in init_pegrid
231	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
232
233	!
234	!-- Set general switch that spectra shall be calculated
235	calculate_spectra = .TRUE.
236
237	10 CONTINUE
238
239	END SUBROUTINE spectra_parin
240
241
242
243	!------------------------------------------------------------------------------!
244	! Description:
245	! ------------
246	!> Initialization of spectra related variables
247	!------------------------------------------------------------------------------!
248	SUBROUTINE spectra_init
249
250	USE indices, &
251	ONLY: nx, ny, nzb, nzt
252
253	IMPLICIT NONE
254
255	IF ( spectra_initialized ) RETURN
256
257	IF ( dt_dosp /= 9999999.9_wp ) THEN
258	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ), &
259	spectrum_y( 1:ny/2, 1:100, 1:10 ) )
260	spectrum_x = 0.0_wp
261	spectrum_y = 0.0_wp
262
263	ALLOCATE( var_d(nzb:nzt+1) )
264	var_d = 0.0_wp
265	ENDIF
266
267	spectra_initialized = .TRUE.
268
269	END SUBROUTINE spectra_init
270
271
272
273	!------------------------------------------------------------------------------!
274	! Description:
275	! ------------
276	!> Check spectra related quantities
277	!------------------------------------------------------------------------------!
278	SUBROUTINE spectra_check_parameters
279
280	USE control_parameters, &
281	ONLY: averaging_interval, message_string, skip_time_data_output
282
283	IMPLICIT NONE
284
285	!
286	!-- Check the average interval
287	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
288	averaging_interval_sp = averaging_interval
289	ENDIF
290
291	IF ( averaging_interval_sp > dt_dosp ) THEN
292	WRITE( message_string, * ) 'averaging_interval_sp = ', &
293	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
294	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
295	ENDIF
296
297	!
298	!-- Set the default skip time interval for data output, if necessary
299	IF ( skip_time_dosp == 9999999.9_wp ) &
300	skip_time_dosp = skip_time_data_output
301
302	END SUBROUTINE spectra_check_parameters
303
304
305
306	!------------------------------------------------------------------------------!
307	! Description:
308	! ------------
309	!> Header output for spectra
310	!>
311	!> @todo Output of netcdf data format and compression level
312	!------------------------------------------------------------------------------!
313	SUBROUTINE spectra_header ( io )
314
315	USE control_parameters, &
316	ONLY: dt_averaging_input_pr
317
318	! USE netcdf_interface, &
319	! ONLY: netcdf_data_format_string, netcdf_deflate
320
321	IMPLICIT NONE
322
323	CHARACTER (LEN=40) :: output_format !< internal string
324
325	INTEGER(iwp) :: i !< internal counter
326	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
327
328	!
329	!-- Spectra output
330	IF ( dt_dosp /= 9999999.9_wp ) THEN
331	WRITE ( io, 1 )
332
333	! output_format = netcdf_data_format_string
334	! IF ( netcdf_deflate == 0 ) THEN
335	! WRITE ( io, 2 ) output_format
336	! ELSE
337	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
338	! ENDIF
339	WRITE ( io, 2 ) 'see profiles or other quantities'
340	WRITE ( io, 4 ) dt_dosp
341	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
342	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
343	( spectra_direction(i), i = 1,10 ), &
344	( comp_spectra_level(i), i = 1,100 ), &
345	averaging_interval_sp, dt_averaging_input_pr
346	ENDIF
347
348	1 FORMAT (' Spectra:')
349	2 FORMAT (' Output format: ',A/)
350	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
351	4 FORMAT (' Output every ',F7.1,' s'/)
352	5 FORMAT (' No output during initial ',F8.2,' s')
353	6 FORMAT (' Arrays: ', 10(A5,',')/ &
354	' Directions: ', 10(A5,',')/ &
355	' height levels k = ', 20(I3,',')/ &
356	' ', 20(I3,',')/ &
357	' ', 20(I3,',')/ &
358	' ', 20(I3,',')/ &
359	' ', 19(I3,','),I3,'.'/ &
360	' Time averaged over ', F7.1, ' s,' / &
361	' Profiles for the time averaging are taken every ', &
362	F6.1,' s')
363
364	END SUBROUTINE spectra_header
365
366
367
368	SUBROUTINE calc_spectra
369
370	USE arrays_3d, &
371	ONLY: d, tend
372
373	USE control_parameters, &
374	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
375
376	USE cpulog, &
377	ONLY: cpu_log, log_point
378
379	USE fft_xy, &
380	ONLY: fft_init
381
382	USE indices, &
383	ONLY: nxl, nxr, nyn, nys, nzb, nzt
384
385	USE kinds
386
387	USE pegrid, &
388	ONLY: myid, pdims
389
390	IMPLICIT NONE
391
392	INTEGER(iwp) :: m !<
393	INTEGER(iwp) :: pr !<
394
395
396	!
397	!-- Check if user gave any levels for spectra to be calculated
398	IF ( comp_spectra_level(1) == 999999 ) RETURN
399
400	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
401
402	!
403	!-- Initialize spectra related quantities
404	CALL spectra_init
405
406	!
407	!-- Initialize ffts
408	CALL fft_init
409
410	!
411	!-- Reallocate array d in required size
412	IF ( psolver(1:9) == 'multigrid' ) THEN
413	DEALLOCATE( d )
414	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
415	ENDIF
416
417	m = 1
418	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
419	!
420	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
421	!-- along x)
422	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
423
424	!
425	!-- Calculation of spectra works for cyclic boundary conditions only
426	IF ( .NOT. bc_lr_cyc ) THEN
427
428	message_string = 'non-cyclic lateral boundaries along x do'// &
429	' not & allow calculation of spectra along x'
430	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
431	ENDIF
432
433	CALL preprocess_spectra( m, pr )
434
435	#if defined( __parallel )
436	IF ( pdims(2) /= 1 ) THEN
437	CALL resort_for_zx( d, tend )
438	CALL transpose_zx( tend, d )
439	ELSE
440	CALL transpose_yxd( d, d )
441	ENDIF
442	CALL calc_spectra_x( d, pr, m )
443	#else
444	message_string = 'sorry, calculation of spectra in non paral' // &
445	'lel mode& is still not realized'
446	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
447	#endif
448
449	ENDIF
450
451	!
452	!-- Transposition from z --> y (d is rearranged only in case of a
453	!-- 1d-decomposition along x)
454	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
455
456	!
457	!-- Calculation of spectra works for cyclic boundary conditions only
458	IF ( .NOT. bc_ns_cyc ) THEN
459	IF ( myid == 0 ) THEN
460	message_string = 'non-cyclic lateral boundaries along y' // &
461	' do not & allow calculation of spectr' // &
462	'a along y'
463	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
464	ENDIF
465	CALL local_stop
466	ENDIF
467
468	CALL preprocess_spectra( m, pr )
469
470	#if defined( __parallel )
471	CALL transpose_zyd( d, d )
472	CALL calc_spectra_y( d, pr, m )
473	#else
474	message_string = 'sorry, calculation of spectra in non paral' // &
475	'lel mode& is still not realized'
476	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
477	#endif
478
479	ENDIF
480
481	!
482	!-- Increase counter for next spectrum
483	m = m + 1
484
485	ENDDO
486
487	!
488	!-- Increase counter for averaging process in routine plot_spectra
489	average_count_sp = average_count_sp + 1
490
491	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
492
493	END SUBROUTINE calc_spectra
494
495
496	!------------------------------------------------------------------------------!
497	! Description:
498	! ------------
499	!> @todo Missing subroutine description.
500	!------------------------------------------------------------------------------!
501	SUBROUTINE preprocess_spectra( m, pr )
502
503	USE arrays_3d, &
504	ONLY: d, pt, q, s, u, v, w
505
506	USE indices, &
507	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
508
509	USE kinds
510
511	#if defined( __parallel )
512	#if !defined( __mpifh )
513	USE MPI
514	#endif
515	#endif
516
517	USE pegrid, &
518	ONLY: collective_wait, comm2d, ierr
519
520	USE statistics, &
521	ONLY: hom
522
523
524	IMPLICIT NONE
525
526	#if defined( __parallel )
527	#if defined( __mpifh )
528	INCLUDE "mpif.h"
529	#endif
530	#endif
531
532	INTEGER(iwp) :: i !<
533	INTEGER(iwp) :: j !<
534	INTEGER(iwp) :: k !<
535	INTEGER(iwp) :: m !<
536	INTEGER(iwp) :: pr !<
537
538	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
539
540	SELECT CASE ( TRIM( data_output_sp(m) ) )
541
542	CASE ( 'u' )
543	pr = 1
544	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
545
546	CASE ( 'v' )
547	pr = 2
548	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
549
550	CASE ( 'w' )
551	pr = 3
552	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
553
554	CASE ( 'pt' )
555	pr = 4
556	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
557
558	CASE ( 'q' )
559	pr = 41
560	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
561
562	CASE ( 's' )
563	pr = 117
564	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
565
566	CASE DEFAULT
567	!
568	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
569	!-- contains a wrong character string or if the user has coded a special
570	!-- case in the user interface. There, the subroutine user_spectra
571	!-- checks which of these two conditions applies.
572	CALL user_spectra( 'preprocess', m, pr )
573
574	END SELECT
575
576	!
577	!-- Subtract horizontal mean from the array, for which spectra have to be
578	!-- calculated. Moreover, calculate variance of the respective quantitiy,
579	!-- later used for normalizing spectra output.
580	var_d_l(:) = 0.0_wp
581	DO i = nxl, nxr
582	DO j = nys, nyn
583	DO k = nzb+1, nzt
584	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
585	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
586	ENDDO
587	ENDDO
588	ENDDO
589	!
590	!-- Compute total variance from local variances
591	var_d(:) = 0.0_wp
592	#if defined( __parallel )
593	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
594	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
595	comm2d, ierr )
596	#else
597	var_d(:) = var_d_l(:)
598	#endif
599	var_d(:) = var_d(:) / ngp_2dh(0)
600
601	END SUBROUTINE preprocess_spectra
602
603
604	!------------------------------------------------------------------------------!
605	! Description:
606	! ------------
607	!> @todo Missing subroutine description.
608	!------------------------------------------------------------------------------!
609	SUBROUTINE calc_spectra_x( ddd, pr, m )
610
611	USE control_parameters, &
612	ONLY: fft_method
613
614	USE fft_xy, &
615	ONLY: fft_x_1d
616
617	USE grid_variables, &
618	ONLY: dx
619
620	USE indices, &
621	ONLY: nx, ny
622
623	USE kinds
624
625	#if defined( __parallel )
626	#if !defined( __mpifh )
627	USE MPI
628	#endif
629	#endif
630
631	USE pegrid, &
632	ONLY: comm2d, ierr, myid
633
634	USE transpose_indices, &
635	ONLY: nyn_x, nys_x, nzb_x, nzt_x
636
637
638	IMPLICIT NONE
639
640	#if defined( __parallel )
641	#if defined( __mpifh )
642	INCLUDE "mpif.h"
643	#endif
644	#endif
645
646	INTEGER(iwp) :: i !<
647	INTEGER(iwp) :: ishape(1) !<
648	INTEGER(iwp) :: j !<
649	INTEGER(iwp) :: k !<
650	INTEGER(iwp) :: m !<
651	INTEGER(iwp) :: n !<
652	INTEGER(iwp) :: pr !<
653
654	REAL(wp) :: exponent !<
655	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
656
657	REAL(wp), DIMENSION(0:nx) :: work !<
658
659	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
660
661	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
662
663	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
664
665	!
666	!-- Exponent for geometric average
667	exponent = 1.0_wp / ( ny + 1.0_wp )
668
669	!
670	!-- Loop over all levels defined by the user
671	n = 1
672	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
673
674	k = comp_spectra_level(n)
675
676	!
677	!-- Calculate FFT only if the corresponding level is situated on this PE
678	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
679
680	DO j = nys_x, nyn_x
681
682	work = ddd(0:nx,j,k)
683	CALL fft_x_1d( work, 'forward' )
684
685	ddd(0,j,k) = dx * work(0)**2
686	DO i = 1, nx/2
687	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
688	ENDDO
689
690	ENDDO
691
692	!
693	!-- Local sum and geometric average of these spectra
694	!-- (WARNING: no global sum should be performed, because floating
695	!-- point overflow may occur)
696	DO i = 0, nx/2
697
698	sums_spectra_l(i) = 1.0_wp
699	DO j = nys_x, nyn_x
700	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
701	ENDDO
702
703	ENDDO
704
705	ELSE
706
707	sums_spectra_l = 1.0_wp
708
709	ENDIF
710
711	!
712	!-- Global sum of spectra on PE0 (from where they are written on file)
713	sums_spectra(:,n) = 0.0_wp
714	#if defined( __parallel )
715	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
716	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
717	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
718	#else
719	sums_spectra(:,n) = sums_spectra_l
720	#endif
721	!
722	!-- Normalize spectra by variance
723	sum_spec_dum = SUM( sums_spectra(1:nx/2,n) )
724
725	IF ( sum_spec_dum /= 0.0_wp ) THEN
726	sums_spectra(1:nx/2,n) = sums_spectra(1:nx/2,n) * &
727	var_d(k) / sum_spec_dum
728	ENDIF
729	n = n + 1
730
731	ENDDO
732	n = n - 1
733
734	IF ( myid == 0 ) THEN
735	!
736	!-- Sum of spectra for later averaging (see routine data_output_spectra)
737	DO i = 1, nx/2
738	DO k = 1, n
739	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
740	ENDDO
741	ENDDO
742
743	ENDIF
744	!
745	!-- n_sp_x is needed by data_output_spectra_x
746	n_sp_x = n
747
748	END SUBROUTINE calc_spectra_x
749
750
751	!------------------------------------------------------------------------------!
752	! Description:
753	! ------------
754	!> @todo Missing subroutine description.
755	!------------------------------------------------------------------------------!
756	SUBROUTINE calc_spectra_y( ddd, pr, m )
757
758	USE control_parameters, &
759	ONLY: fft_method
760
761	USE fft_xy, &
762	ONLY: fft_y_1d
763
764	USE grid_variables, &
765	ONLY: dy
766
767	USE indices, &
768	ONLY: nx, ny
769
770	USE kinds
771
772	#if defined( __parallel )
773	#if !defined( __mpifh )
774	USE MPI
775	#endif
776	#endif
777
778	USE pegrid, &
779	ONLY: comm2d, ierr, myid
780
781	USE transpose_indices, &
782	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
783
784
785	IMPLICIT NONE
786
787	#if defined( __parallel )
788	#if defined( __mpifh )
789	INCLUDE "mpif.h"
790	#endif
791	#endif
792
793	INTEGER(iwp) :: i !<
794	INTEGER(iwp) :: j !<
795	INTEGER(iwp) :: jshape(1) !<
796	INTEGER(iwp) :: k !<
797	INTEGER(iwp) :: m !<
798	INTEGER(iwp) :: n !<
799	INTEGER(iwp) :: pr !<
800
801	REAL(wp) :: exponent !<
802	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
803
804	REAL(wp), DIMENSION(0:ny) :: work !<
805
806	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
807
808	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
809
810	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
811
812
813	!
814	!-- Exponent for geometric average
815	exponent = 1.0_wp / ( nx + 1.0_wp )
816
817	!
818	!-- Loop over all levels defined by the user
819	n = 1
820	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
821
822	k = comp_spectra_level(n)
823
824	!
825	!-- Calculate FFT only if the corresponding level is situated on this PE
826	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
827
828	DO i = nxl_yd, nxr_yd
829
830	work = ddd(0:ny,i,k)
831	CALL fft_y_1d( work, 'forward' )
832
833	ddd(0,i,k) = dy * work(0)**2
834	DO j = 1, ny/2
835	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
836	ENDDO
837
838	ENDDO
839
840	!
841	!-- Local sum and geometric average of these spectra
842	!-- (WARNING: no global sum should be performed, because floating
843	!-- point overflow may occur)
844	DO j = 0, ny/2
845
846	sums_spectra_l(j) = 1.0_wp
847	DO i = nxl_yd, nxr_yd
848	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
849	ENDDO
850
851	ENDDO
852
853	ELSE
854
855	sums_spectra_l = 1.0_wp
856
857	ENDIF
858
859	!
860	!-- Global sum of spectra on PE0 (from where they are written on file)
861	sums_spectra(:,n) = 0.0_wp
862	#if defined( __parallel )
863	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
864	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
865	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
866	#else
867	sums_spectra(:,n) = sums_spectra_l
868	#endif
869	!
870	!-- Normalize spectra by variance
871	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
872	IF ( sum_spec_dum /= 0.0_wp ) THEN
873	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * &
874	var_d(k) / sum_spec_dum
875	ENDIF
876	n = n + 1
877
878	ENDDO
879	n = n - 1
880
881
882	IF ( myid == 0 ) THEN
883	!
884	!-- Sum of spectra for later averaging (see routine data_output_spectra)
885	DO j = 1, ny/2
886	DO k = 1, n
887	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
888	ENDDO
889	ENDDO
890
891	ENDIF
892
893	!
894	!-- n_sp_y is needed by data_output_spectra_y
895	n_sp_y = n
896
897	END SUBROUTINE calc_spectra_y
898
899	END MODULE spectra_mod

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