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source: palm/trunk/SOURCE/spectra_mod.f90 @ 4624

Last change on this file since 4624 was 4591, checked in by raasch, 4 years ago
files re-formatted to follow the PALM coding standard
Property svn:keywords set to `Id`
File size: 32.5 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 terms of the GNU General
6	! Public License as published by the Free Software Foundation, either version 3 of the License, or
7	! (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the
10	! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
11	! Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with PALM. If not, see
14	! <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2020 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------------------------!
18	!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 4591 2020-07-06 15:56:08Z raasch $
27	! File re-formatted to follow the PALM coding standard
28	!
29	! 4429 2020-02-27 15:24:30Z raasch
30	! Bugfix: preprocessor directives rearranged for serial mode
31	!
32	! 4360 2020-01-07 11:25:50Z suehring
33	! Corrected "Former revisions" section
34	!
35	! 3805 2019-03-20 15:26:35Z raasch
36	! Unused variable removed
37	!
38	! 3655 2019-01-07 16:51:22Z knoop
39	! Renamed output variables
40	!
41	! Revision 1.1 2001/01/05 15:08:07 raasch
42	! Initial revision
43	!
44	!--------------------------------------------------------------------------------------------------!
45	! Description:
46	! ------------
47	!> Calculate horizontal spectra along x and y.
48	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that case the gridpoint
49	!> number along z still depends on the PE number because transpose_xz has to be used
50	!> (and possibly also transpose_zyd needs modification).
51	!--------------------------------------------------------------------------------------------------!
52	MODULE spectra_mod
53
54	USE kinds
55
56	PRIVATE
57
58	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' ' !<
59	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x' !<
60
61	INTEGER(iwp) :: average_count_sp = 0 !<
62	INTEGER(iwp) :: comp_spectra_level(100) = 999999 !<
63	INTEGER(iwp) :: dosp_time_count = 0 !<
64	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0 !<
65
66	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
67	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
68
69	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
70	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
71	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
72
73	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d !<
74
75	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x !<
76	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_y !<
77
78	SAVE
79
80	INTERFACE calc_spectra
81	MODULE PROCEDURE calc_spectra
82	END INTERFACE calc_spectra
83
84	INTERFACE preprocess_spectra
85	MODULE PROCEDURE preprocess_spectra
86	END INTERFACE preprocess_spectra
87
88	#if defined( __parallel )
89	INTERFACE calc_spectra_x
90	MODULE PROCEDURE calc_spectra_x
91	END INTERFACE calc_spectra_x
92
93	INTERFACE calc_spectra_y
94	MODULE PROCEDURE calc_spectra_y
95	END INTERFACE calc_spectra_y
96	#endif
97
98	INTERFACE spectra_check_parameters
99	MODULE PROCEDURE spectra_check_parameters
100	END INTERFACE spectra_check_parameters
101
102	INTERFACE spectra_header
103	MODULE PROCEDURE spectra_header
104	END INTERFACE spectra_header
105
106	INTERFACE spectra_init
107	MODULE PROCEDURE spectra_init
108	END INTERFACE spectra_init
109
110	INTERFACE spectra_parin
111	MODULE PROCEDURE spectra_parin
112	END INTERFACE spectra_parin
113
114	PUBLIC average_count_sp, &
115	averaging_interval_sp, &
116	calc_spectra, &
117	calculate_spectra, &
118	comp_spectra_level, &
119	data_output_sp, &
120	dosp_time_count, &
121	dt_dosp, &
122	n_sp_x, &
123	n_sp_y, &
124	skip_time_dosp, &
125	spectra_check_parameters, &
126	spectra_direction, &
127	spectra_header, &
128	spectra_init, &
129	spectra_parin, &
130	spectrum_x, &
131	spectrum_y, &
132	var_d
133
134
135	CONTAINS
136
137	!--------------------------------------------------------------------------------------------------!
138	! Description:
139	! ------------
140	!> Parin for &spectra_par for calculating spectra
141	!--------------------------------------------------------------------------------------------------!
142	SUBROUTINE spectra_parin
143
144	USE control_parameters, &
145	ONLY: dt_data_output, &
146	message_string
147
148	IMPLICIT NONE
149
150	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
151
152	NAMELIST /spectra_par/ averaging_interval_sp, &
153	comp_spectra_level, &
154	data_output_sp, &
155	dt_dosp, &
156	skip_time_dosp, &
157	spectra_direction
158
159	NAMELIST /spectra_parameters/ &
160	averaging_interval_sp, &
161	comp_spectra_level, &
162	data_output_sp, &
163	dt_dosp, &
164	skip_time_dosp, &
165	spectra_direction
166	!
167	!-- Position the namelist-file at the beginning (it was already opened in parin), search for the
168	!-- namelist-group of the package and position the file at this line.
169	line = ' '
170
171	!
172	!-- Try to find the spectra package
173	REWIND ( 11 )
174	line = ' '
175	DO WHILE ( INDEX( line, '&spectra_parameters' ) == 0 )
176	READ ( 11, '(A)', END=12 ) line
177	ENDDO
178	BACKSPACE ( 11 )
179
180	!
181	!-- Read namelist
182	READ ( 11, spectra_parameters, ERR = 10 )
183
184	!
185	!-- Default setting of dt_dosp here (instead of check_parameters), because its current value is
186	!-- needed in init_pegrid
187	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
188
189	!
190	!-- Set general switch that spectra shall be calculated
191	calculate_spectra = .TRUE.
192
193	GOTO 14
194
195	10 BACKSPACE( 11 )
196	READ( 11 , '(A)') line
197	CALL parin_fail_message( 'spectra_parameters', line )
198	!
199	!-- Try to find the old namelist
200	12 REWIND ( 11 )
201	line = ' '
202	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
203	READ ( 11, '(A)', END=14 ) line
204	ENDDO
205	BACKSPACE ( 11 )
206
207	!
208	!-- Read namelist
209	READ ( 11, spectra_par, ERR = 13, END = 14 )
210
211
212	message_string = 'namelist spectra_par is deprecated and will be removed in near future.' // &
213	' Please use namelist spectra_parameters instead'
214	CALL message( 'spectra_parin', 'PA0487', 0, 1, 0, 6, 0 )
215	!
216	!-- Default setting of dt_dosp here (instead of check_parameters), because its current value is
217	!-- needed in init_pegrid
218	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
219
220	!
221	!-- Set general switch that spectra shall be calculated
222	calculate_spectra = .TRUE.
223
224	GOTO 14
225
226	13 BACKSPACE( 11 )
227	READ( 11 , '(A)') line
228	CALL parin_fail_message( 'spectra_par', line )
229
230
231	14 CONTINUE
232
233	END SUBROUTINE spectra_parin
234
235
236
237	!--------------------------------------------------------------------------------------------------!
238	! Description:
239	! ------------
240	!> Initialization of spectra related variables
241	!--------------------------------------------------------------------------------------------------!
242	SUBROUTINE spectra_init
243
244	USE indices, &
245	ONLY: nx, &
246	ny, &
247	nzb, &
248	nzt
249
250	IMPLICIT NONE
251
252	IF ( spectra_initialized ) RETURN
253
254	IF ( dt_dosp /= 9999999.9_wp ) THEN
255
256	IF ( .NOT. ALLOCATED( spectrum_x ) ) THEN
257	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ) )
258	spectrum_x = 0.0_wp
259	ENDIF
260
261	IF ( .NOT. ALLOCATED( spectrum_y ) ) THEN
262	ALLOCATE( spectrum_y( 1:ny/2, 1:100, 1:10 ) )
263	spectrum_y = 0.0_wp
264	ENDIF
265
266	ALLOCATE( var_d(nzb:nzt+1) )
267	var_d = 0.0_wp
268	ENDIF
269
270	spectra_initialized = .TRUE.
271
272	END SUBROUTINE spectra_init
273
274
275
276	!--------------------------------------------------------------------------------------------------!
277	! Description:
278	! ------------
279	!> Check spectra related quantities
280	!--------------------------------------------------------------------------------------------------!
281	SUBROUTINE spectra_check_parameters
282
283	USE control_parameters, &
284	ONLY: averaging_interval, &
285	message_string, &
286	skip_time_data_output
287
288	IMPLICIT NONE
289
290	!
291	!-- Check the average interval
292	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
293	averaging_interval_sp = averaging_interval
294	ENDIF
295
296	IF ( averaging_interval_sp > dt_dosp ) THEN
297	WRITE( message_string, * ) 'averaging_interval_sp = ', averaging_interval_sp, &
298	' must be <= dt_dosp = ', dt_dosp
299	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
300	ENDIF
301
302	!
303	!-- Set the default skip time interval for data output, if necessary
304	IF ( skip_time_dosp == 9999999.9_wp ) skip_time_dosp = skip_time_data_output
305
306	END SUBROUTINE spectra_check_parameters
307
308
309
310	!--------------------------------------------------------------------------------------------------!
311	! Description:
312	! ------------
313	!> Header output for spectra
314	!>
315	!> @todo Output of netcdf data format and compression level
316	!--------------------------------------------------------------------------------------------------!
317	SUBROUTINE spectra_header ( io )
318
319	USE control_parameters, &
320	ONLY: dt_averaging_input_pr
321
322	! USE netcdf_interface, &
323	! ONLY: netcdf_data_format_string, &
324	! netcdf_deflate
325
326	IMPLICIT NONE
327
328	! CHARACTER (LEN=40) :: output_format !< internal string
329
330	INTEGER(iwp) :: i !< internal counter
331	INTEGER(iwp), INTENT(IN) :: io !< unit of the output file
332
333	!
334	!-- Spectra output
335	IF ( dt_dosp /= 9999999.9_wp ) THEN
336	WRITE ( io, 1 )
337
338	! output_format = netcdf_data_format_string
339	! IF ( netcdf_deflate == 0 ) THEN
340	! WRITE ( io, 2 ) output_format
341	! ELSE
342	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
343	! ENDIF
344	WRITE ( io, 2 ) 'see profiles or other quantities'
345	WRITE ( io, 4 ) dt_dosp
346	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
347	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
348	( spectra_direction(i), i = 1,10 ), &
349	( comp_spectra_level(i), i = 1,100 ), &
350	averaging_interval_sp, dt_averaging_input_pr
351	ENDIF
352
353	1 FORMAT (' Spectra:')
354	2 FORMAT (' Output format: ',A/)
355	! 3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
356	4 FORMAT (' Output every ',F7.1,' s'/)
357	5 FORMAT (' No output during initial ',F8.2,' s')
358	6 FORMAT (' Arrays: ', 10(A5,',')/ &
359	' Directions: ', 10(A5,',')/ &
360	' height levels k = ', 20(I3,',')/ &
361	' ', 20(I3,',')/ &
362	' ', 20(I3,',')/ &
363	' ', 20(I3,',')/ &
364	' ', 19(I3,','),I3,'.'/ &
365	' Time averaged over ', F7.1, ' s,' / &
366	' Profiles for the time averaging are taken every ', &
367	F6.1,' s')
368
369	END SUBROUTINE spectra_header
370
371
372	!--------------------------------------------------------------------------------------------------!
373	! Description:
374	! ------------
375	!> @todo Missing subroutine description.
376	!--------------------------------------------------------------------------------------------------!
377
378	SUBROUTINE calc_spectra
379
380	USE arrays_3d, &
381	ONLY: d
382	#if defined( __parallel )
383	USE arrays_3d, &
384	ONLY: tend
385	#endif
386
387	USE control_parameters, &
388	ONLY: bc_lr_cyc, &
389	bc_ns_cyc, &
390	message_string, &
391	psolver
392
393	USE cpulog, &
394	ONLY: cpu_log, &
395	log_point
396
397	USE fft_xy, &
398	ONLY: fft_init
399
400	USE indices, &
401	ONLY: nxl, &
402	nxr, &
403	nyn, &
404	nys, &
405	nzb, &
406	nzt
407
408	USE kinds
409
410	USE pegrid, &
411	ONLY: myid
412	#if defined( __parallel )
413	USE pegrid, &
414	ONLY: pdims
415	#endif
416
417	IMPLICIT NONE
418
419	INTEGER(iwp) :: m !<
420	INTEGER(iwp) :: pr !<
421
422
423	!
424	!-- Check if user gave any levels for spectra to be calculated
425	IF ( comp_spectra_level(1) == 999999 ) RETURN
426
427	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
428
429	!
430	!-- Initialize spectra related quantities
431	CALL spectra_init
432
433	!
434	!-- Initialize ffts
435	CALL fft_init
436
437	!
438	!-- Reallocate array d in required size
439	IF ( psolver(1:9) == 'multigrid' ) THEN
440	DEALLOCATE( d )
441	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
442	ENDIF
443
444	m = 1
445	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
446	!
447	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition along x)
448	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
449
450	!
451	!-- Calculation of spectra works for cyclic boundary conditions only
452	IF ( .NOT. bc_lr_cyc ) THEN
453
454	message_string = 'non-cyclic lateral boundaries along x do' // &
455	' not & allow calculation of spectra along x'
456	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
457	ENDIF
458
459	CALL preprocess_spectra( m, pr )
460
461	#if defined( __parallel )
462	IF ( pdims(2) /= 1 ) THEN
463	CALL resort_for_zx( d, tend )
464	CALL transpose_zx( tend, d )
465	ELSE
466	CALL transpose_yxd( d, d )
467	ENDIF
468	CALL calc_spectra_x( d, m )
469	#else
470	message_string = 'sorry, calculation of spectra in non parallel mode& is still not ' // &
471	'realized'
472	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
473	#endif
474
475	ENDIF
476
477	!
478	!-- Transposition from z --> y (d is rearranged only in case of a 1d-decomposition along x)
479	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
480
481	!
482	!-- Calculation of spectra works for cyclic boundary conditions only
483	IF ( .NOT. bc_ns_cyc ) THEN
484	IF ( myid == 0 ) THEN
485	message_string = 'non-cyclic lateral boundaries along y' // &
486	' do not & allow calculation of spectra along y'
487	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
488	ENDIF
489	CALL local_stop
490	ENDIF
491
492	CALL preprocess_spectra( m, pr )
493
494	#if defined( __parallel )
495	CALL transpose_zyd( d, d )
496	CALL calc_spectra_y( d, m )
497	#else
498	message_string = 'sorry, calculation of spectra in non parallel mode& is still not ' // &
499	'realized'
500	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
501	#endif
502
503	ENDIF
504
505	!
506	!-- Increase counter for next spectrum
507	m = m + 1
508
509	ENDDO
510
511	!
512	!-- Increase counter for averaging process in routine plot_spectra
513	average_count_sp = average_count_sp + 1
514
515	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
516
517	END SUBROUTINE calc_spectra
518
519
520	!--------------------------------------------------------------------------------------------------!
521	! Description:
522	! ------------
523	!> @todo Missing subroutine description.
524	!--------------------------------------------------------------------------------------------------!
525	SUBROUTINE preprocess_spectra( m, pr )
526
527	USE arrays_3d, &
528	ONLY: d, &
529	pt, &
530	q, &
531	s, &
532	u, &
533	v, &
534	w
535
536	USE indices, &
537	ONLY: ngp_2dh, &
538	nxl, &
539	nxr, &
540	nyn, &
541	nys, &
542	nzb, &
543	nzt
544
545	USE kinds
546
547	#if defined( __parallel )
548	#if !defined( __mpifh )
549	USE MPI
550	#endif
551
552	USE pegrid, &
553	ONLY: collective_wait, &
554	comm2d, &
555	ierr
556	#endif
557
558	USE statistics, &
559	ONLY: hom
560
561
562	IMPLICIT NONE
563
564	#if defined( __parallel )
565	#if defined( __mpifh )
566	INCLUDE "mpif.h"
567	#endif
568	#endif
569
570	INTEGER(iwp) :: i !<
571	INTEGER(iwp) :: j !<
572	INTEGER(iwp) :: k !<
573	INTEGER(iwp) :: m !<
574	INTEGER(iwp) :: pr !<
575
576	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l !<
577
578	SELECT CASE ( TRIM( data_output_sp(m) ) )
579
580	CASE ( 'u' )
581	pr = 1
582	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
583
584	CASE ( 'v' )
585	pr = 2
586	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
587
588	CASE ( 'w' )
589	pr = 3
590	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
591
592	CASE ( 'theta' )
593	pr = 4
594	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
595
596	CASE ( 'q' )
597	pr = 41
598	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
599
600	CASE ( 's' )
601	pr = 117
602	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
603
604	CASE DEFAULT
605	!
606	!-- The DEFAULT case is reached either if the parameter data_output_sp(m) contains a wrong
607	!-- character string or if the user has coded a special case in the user interface. There, the
608	!-- subroutine user_spectra checks which of these two conditions applies.
609	CALL user_spectra( 'preprocess', m, pr )
610
611	END SELECT
612
613	!
614	!-- Subtract horizontal mean from the array, for which spectra have to be calculated. Moreover,
615	!-- calculate variance of the respective quantitiy, later used for normalizing spectra output.
616	var_d_l(:) = 0.0_wp
617	DO i = nxl, nxr
618	DO j = nys, nyn
619	DO k = nzb+1, nzt
620	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
621	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
622	ENDDO
623	ENDDO
624	ENDDO
625	!
626	!-- Compute total variance from local variances
627	var_d(:) = 0.0_wp
628	#if defined( __parallel )
629	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
630	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
631	#else
632	var_d(:) = var_d_l(:)
633	#endif
634	var_d(:) = var_d(:) / ngp_2dh(0)
635
636	END SUBROUTINE preprocess_spectra
637
638
639	!--------------------------------------------------------------------------------------------------!
640	! Description:
641	! ------------
642	!> @todo Missing subroutine description.
643	!--------------------------------------------------------------------------------------------------!
644	#if defined( __parallel )
645	SUBROUTINE calc_spectra_x( ddd, m )
646
647	USE fft_xy, &
648	ONLY: fft_x_1d
649
650	USE grid_variables, &
651	ONLY: dx
652
653	USE indices, &
654	ONLY: nx, &
655	ny
656
657	USE kinds
658
659	#if !defined( __mpifh )
660	USE MPI
661	#endif
662
663	USE pegrid, &
664	ONLY: comm2d, &
665	ierr, &
666	myid
667
668	USE transpose_indices, &
669	ONLY: nyn_x, &
670	nys_x, &
671	nzb_x, &
672	nzt_x
673
674
675	IMPLICIT NONE
676
677	#if defined( __mpifh )
678	INCLUDE "mpif.h"
679	#endif
680
681	INTEGER(iwp) :: i !<
682	INTEGER(iwp) :: j !<
683	INTEGER(iwp) :: k !<
684	INTEGER(iwp) :: m !<
685	INTEGER(iwp) :: n !<
686
687	REAL(wp) :: exponent !<
688	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
689
690	REAL(wp), DIMENSION(0:nx) :: work !<
691
692	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
693
694	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
695
696	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
697
698	!
699	!-- Exponent for geometric average
700	exponent = 1.0_wp / ( ny + 1.0_wp )
701
702	!
703	!-- Loop over all levels defined by the user
704	n = 1
705	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
706
707	k = comp_spectra_level(n)
708
709	!
710	!-- Calculate FFT only if the corresponding level is situated on this PE
711	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
712
713	DO j = nys_x, nyn_x
714
715	work = ddd(0:nx,j,k)
716	CALL fft_x_1d( work, 'forward' )
717
718	ddd(0,j,k) = dx * work(0)**2
719	DO i = 1, nx/2
720	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
721	ENDDO
722
723	ENDDO
724
725	!
726	!-- Local sum and geometric average of these spectra (WARNING: no global sum should be
727	!-- performed, because floating point overflow may occur)
728	DO i = 0, nx/2
729
730	sums_spectra_l(i) = 1.0_wp
731	DO j = nys_x, nyn_x
732	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
733	ENDDO
734
735	ENDDO
736
737	ELSE
738
739	sums_spectra_l = 1.0_wp
740
741	ENDIF
742
743	!
744	!-- Global sum of spectra on PE0 (from where they are written on file)
745	sums_spectra(:,n) = 0.0_wp
746	#if defined( __parallel )
747	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
748	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, MPI_REAL, MPI_PROD, 0, &
749	comm2d, ierr )
750	#else
751	sums_spectra(:,n) = sums_spectra_l
752	#endif
753	!
754	!-- Normalize spectra by variance
755	sum_spec_dum = SUM( sums_spectra(1:nx/2,n) )
756
757	IF ( sum_spec_dum /= 0.0_wp ) THEN
758	sums_spectra(1:nx/2,n) = sums_spectra(1:nx/2,n) * var_d(k) / sum_spec_dum
759	ENDIF
760	n = n + 1
761
762	ENDDO
763	n = n - 1
764
765	IF ( myid == 0 ) THEN
766	!
767	!-- Sum of spectra for later averaging (see routine data_output_spectra)
768	DO i = 1, nx/2
769	DO k = 1, n
770	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
771	ENDDO
772	ENDDO
773
774	ENDIF
775	!
776	!-- n_sp_x is needed by data_output_spectra_x
777	n_sp_x = n
778
779	END SUBROUTINE calc_spectra_x
780	#endif
781
782
783	!--------------------------------------------------------------------------------------------------!
784	! Description:
785	! ------------
786	!> @todo Missing subroutine description.
787	!--------------------------------------------------------------------------------------------------!
788	#if defined( __parallel )
789	SUBROUTINE calc_spectra_y( ddd, m )
790
791	USE fft_xy, &
792	ONLY: fft_y_1d
793
794	USE grid_variables, &
795	ONLY: dy
796
797	USE indices, &
798	ONLY: nx, &
799	ny
800
801	USE kinds
802
803	#if !defined( __mpifh )
804	USE MPI
805	#endif
806
807	USE pegrid, &
808	ONLY: comm2d, &
809	ierr, &
810	myid
811
812	USE transpose_indices, &
813	ONLY: nxl_yd, &
814	nxr_yd, &
815	nzb_yd, &
816	nzt_yd
817
818
819	IMPLICIT NONE
820
821	#if defined( __mpifh )
822	INCLUDE "mpif.h"
823	#endif
824
825	INTEGER(iwp) :: i !<
826	INTEGER(iwp) :: j !<
827	INTEGER(iwp) :: k !<
828	INTEGER(iwp) :: m !<
829	INTEGER(iwp) :: n !<
830
831	REAL(wp) :: exponent !<
832	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
833
834	REAL(wp), DIMENSION(0:ny) :: work !<
835
836	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
837
838	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
839
840	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
841
842
843	!
844	!-- Exponent for geometric average
845	exponent = 1.0_wp / ( nx + 1.0_wp )
846
847	!
848	!-- Loop over all levels defined by the user
849	n = 1
850	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
851
852	k = comp_spectra_level(n)
853
854	!
855	!-- Calculate FFT only if the corresponding level is situated on this PE
856	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
857
858	DO i = nxl_yd, nxr_yd
859
860	work = ddd(0:ny,i,k)
861	CALL fft_y_1d( work, 'forward' )
862
863	ddd(0,i,k) = dy * work(0)**2
864	DO j = 1, ny/2
865	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
866	ENDDO
867
868	ENDDO
869
870	!
871	!-- Local sum and geometric average of these spectra (WARNING: no global sum should be
872	!-- performed, because floating point overflow may occur)
873	DO j = 0, ny/2
874
875	sums_spectra_l(j) = 1.0_wp
876	DO i = nxl_yd, nxr_yd
877	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
878	ENDDO
879
880	ENDDO
881
882	ELSE
883
884	sums_spectra_l = 1.0_wp
885
886	ENDIF
887
888	!
889	!-- Global sum of spectra on PE0 (from where they are written on file)
890	sums_spectra(:,n) = 0.0_wp
891	#if defined( __parallel )
892	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
893	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, MPI_REAL, MPI_PROD, 0, &
894	comm2d, ierr )
895	#else
896	sums_spectra(:,n) = sums_spectra_l
897	#endif
898	!
899	!-- Normalize spectra by variance
900	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
901	IF ( sum_spec_dum /= 0.0_wp ) THEN
902	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * var_d(k) / sum_spec_dum
903	ENDIF
904	n = n + 1
905
906	ENDDO
907	n = n - 1
908
909
910	IF ( myid == 0 ) THEN
911	!
912	!-- Sum of spectra for later averaging (see routine data_output_spectra)
913	DO j = 1, ny/2
914	DO k = 1, n
915	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
916	ENDDO
917	ENDDO
918
919	ENDIF
920
921	!
922	!-- n_sp_y is needed by data_output_spectra_y
923	n_sp_y = n
924
925	END SUBROUTINE calc_spectra_y
926	#endif
927
928	END MODULE spectra_mod

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