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source: palm/trunk/SOURCE/spectra_mod.f90 @ 3726

Last change on this file since 3726 was 3655, checked in by knoop, 6 years ago
Bugfix: made "unit" and "found" intend INOUT in module interface subroutines + automatic copyright update
Property svn:keywords set to `Id`
File size: 29.2 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 3655 2019-01-07 16:51:22Z maronga $
27	! Renamed output variables
28	!
29	! 3248 2018-09-14 09:42:06Z sward
30	! Minor formating changes
31	!
32	! 3246 2018-09-13 15:14:50Z sward
33	! Added error handling for input namelist via parin_fail_message
34	!
35	! 3241 2018-09-12 15:02:00Z raasch
36	! unused variables removed
37	!
38	! 3049 2018-05-29 13:52:36Z Giersch
39	! Error messages revised
40	!
41	! 3045 2018-05-28 07:55:41Z Giersch
42	! Error message revised
43	!
44	! 2956 2018-04-10 11:01:03Z Giersch
45	! spectrum_x and spectrum_y will only be allocated if they are not allocated
46	! before (e.g. in case of restart runs)
47	!
48	! 2932 2018-03-26 09:39:22Z maronga
49	! renamed spectra_par to spectra_parameters
50	!
51	! 2841 2018-02-27 15:02:57Z knoop
52	! Bugfix: wrong placement of include 'mpif.h' corrected
53	!
54	! 2718 2018-01-02 08:49:38Z maronga
55	! Corrected "Former revisions" section
56	!
57	! 2696 2017-12-14 17:12:51Z kanani
58	! Change in file header (GPL part)
59	!
60	! 2216 2017-04-28 12:54:20Z suehring
61	!
62	! 2193 2017-03-22 04:21:28Z raasch
63	! Normalization of spectra output adjusted
64	!
65	! 2192 2017-03-22 04:14:10Z raasch
66	! bugfix for index bounds of arrays spectrum_x and spectrum_y
67	!
68	! 2000 2016-08-20 18:09:15Z knoop
69	! Forced header and separation lines into 80 columns
70	!
71	! 1960 2016-07-12 16:34:24Z suehring
72	! Additional default spectra for passive scalar
73	!
74	! 1833 2016-04-07 14:23:03Z raasch
75	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
76	! here
77	!
78	! 1815 2016-04-06 13:49:59Z raasch
79	! bugfix: preprocessor directives included for the non-parallel case
80	!
81	! 1808 2016-04-05 19:44:00Z raasch
82	! MPI module used by default on all machines
83	!
84	! 1786 2016-03-08 05:49:27Z raasch
85	! routine is modularized, filename renamed from calc_spectra to spectrum,
86	! privious data module spectrum moved from modules.f90 to here,
87	! cpp-direktives for spectra removed, immediate return if no spectra levels are
88	! given
89	!
90	! 1682 2015-10-07 23:56:08Z knoop
91	! Code annotations made doxygen readable
92	!
93	! 1575 2015-03-27 09:56:27Z raasch
94	! adjustments for psolver-queries
95	!
96	! 1511 2014-12-16 15:54:16Z suehring
97	! Bugfix concerning spectra normalization
98	!
99	! 1431 2014-07-15 14:47:17Z suehring
100	! Wavenumber-integrated spectra coincide with respective variance.
101	!
102	! 1342 2014-03-26 17:04:47Z kanani
103	! REAL constants defined as wp-kinds
104	!
105	! 1324 2014-03-21 09:13:16Z suehring
106	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
107	!
108	! 1320 2014-03-20 08:40:49Z raasch
109	! ONLY-attribute added to USE-statements,
110	! kind-parameters added to all INTEGER and REAL declaration statements,
111	! kinds are defined in new module kinds,
112	! revision history before 2012 removed,
113	! comment fields (!:) to be used for variable explanations added to
114	! all variable declaration statements
115	!
116	! 1318 2014-03-17 13:35:16Z raasch
117	! module interfaces removed
118	!
119	! 1216 2013-08-26 09:31:42Z raasch
120	! resorting of array moved to separate routine resort_for_zx,
121	! one argument removed from the transpose_..d routines
122	!
123	! 1120 2013-04-05 15:11:35Z raasch
124	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
125	!
126	! 1036 2012-10-22 13:43:42Z raasch
127	! code put under GPL (PALM 3.9)
128	!
129	! 1003 2012-09-14 14:35:53Z raasch
130	! adjustment of array tend for cases with unequal subdomain sizes removed
131	!
132	! Revision 1.1 2001/01/05 15:08:07 raasch
133	! Initial revision
134	!
135	!
136	! Description:
137	! ------------
138	!> Calculate horizontal spectra along x and y.
139	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
140	!> case the gridpoint number along z still depends on the PE number
141	!> because transpose_xz has to be used (and possibly also
142	!> transpose_zyd needs modification).
143	!------------------------------------------------------------------------------!
144	MODULE spectra_mod
145
146	USE kinds
147
148	PRIVATE
149
150	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
151	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
152
153	INTEGER(iwp) :: average_count_sp = 0
154	INTEGER(iwp) :: dosp_time_count = 0
155	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
156
157	INTEGER(iwp) :: comp_spectra_level(100) = 999999
158
159	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
160	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
161
162	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
163	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
164	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
165
166	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
167
168	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
169
170	SAVE
171
172	INTERFACE calc_spectra
173	MODULE PROCEDURE calc_spectra
174	END INTERFACE calc_spectra
175
176	INTERFACE preprocess_spectra
177	MODULE PROCEDURE preprocess_spectra
178	END INTERFACE preprocess_spectra
179
180	INTERFACE calc_spectra_x
181	MODULE PROCEDURE calc_spectra_x
182	END INTERFACE calc_spectra_x
183
184	INTERFACE calc_spectra_y
185	MODULE PROCEDURE calc_spectra_y
186	END INTERFACE calc_spectra_y
187
188	INTERFACE spectra_check_parameters
189	MODULE PROCEDURE spectra_check_parameters
190	END INTERFACE spectra_check_parameters
191
192	INTERFACE spectra_header
193	MODULE PROCEDURE spectra_header
194	END INTERFACE spectra_header
195
196	INTERFACE spectra_init
197	MODULE PROCEDURE spectra_init
198	END INTERFACE spectra_init
199
200	INTERFACE spectra_parin
201	MODULE PROCEDURE spectra_parin
202	END INTERFACE spectra_parin
203
204	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
205	calculate_spectra, comp_spectra_level, data_output_sp, &
206	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
207	skip_time_dosp, spectra_check_parameters, spectra_direction, &
208	spectra_header, spectra_init, spectra_parin, spectrum_x, &
209	spectrum_y, var_d
210
211
212	CONTAINS
213
214	!------------------------------------------------------------------------------!
215	! Description:
216	! ------------
217	!> Parin for &spectra_par for calculating spectra
218	!------------------------------------------------------------------------------!
219	SUBROUTINE spectra_parin
220
221	USE control_parameters, &
222	ONLY: dt_data_output, message_string
223
224	IMPLICIT NONE
225
226	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
227	!< line of the parameter file
228
229	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
230	data_output_sp, dt_dosp, skip_time_dosp, &
231	spectra_direction
232
233	NAMELIST /spectra_parameters/ &
234	averaging_interval_sp, comp_spectra_level, &
235	data_output_sp, dt_dosp, skip_time_dosp, &
236	spectra_direction
237	!
238	!-- Position the namelist-file at the beginning (it was already opened in
239	!-- parin), search for the namelist-group of the package and position the
240	!-- file at this line.
241	line = ' '
242
243	!
244	!-- Try to find the spectra package
245	REWIND ( 11 )
246	line = ' '
247	DO WHILE ( INDEX( line, '&spectra_parameters' ) == 0 )
248	READ ( 11, '(A)', END=12 ) line
249	ENDDO
250	BACKSPACE ( 11 )
251
252	!
253	!-- Read namelist
254	READ ( 11, spectra_parameters, ERR = 10 )
255
256	!
257	!-- Default setting of dt_dosp here (instead of check_parameters), because
258	!-- its current value is needed in init_pegrid
259	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
260
261	!
262	!-- Set general switch that spectra shall be calculated
263	calculate_spectra = .TRUE.
264
265	GOTO 14
266
267	10 BACKSPACE( 11 )
268	READ( 11 , '(A)') line
269	CALL parin_fail_message( 'spectra_parameters', line )
270	!
271	!-- Try to find the old namelist
272	12 REWIND ( 11 )
273	line = ' '
274	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
275	READ ( 11, '(A)', END=14 ) line
276	ENDDO
277	BACKSPACE ( 11 )
278
279	!
280	!-- Read namelist
281	READ ( 11, spectra_par, ERR = 13, END = 14 )
282
283
284	message_string = 'namelist spectra_par is deprecated and will be ' // &
285	'removed in near future. Please use namelist ' // &
286	'spectra_parameters instead'
287	CALL message( 'spectra_parin', 'PA0487', 0, 1, 0, 6, 0 )
288	!
289	!-- Default setting of dt_dosp here (instead of check_parameters), because
290	!-- its current value is needed in init_pegrid
291	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
292
293	!
294	!-- Set general switch that spectra shall be calculated
295	calculate_spectra = .TRUE.
296
297	GOTO 14
298
299	13 BACKSPACE( 11 )
300	READ( 11 , '(A)') line
301	CALL parin_fail_message( 'spectra_par', line )
302
303
304	14 CONTINUE
305
306	END SUBROUTINE spectra_parin
307
308
309
310	!------------------------------------------------------------------------------!
311	! Description:
312	! ------------
313	!> Initialization of spectra related variables
314	!------------------------------------------------------------------------------!
315	SUBROUTINE spectra_init
316
317	USE indices, &
318	ONLY: nx, ny, nzb, nzt
319
320	IMPLICIT NONE
321
322	IF ( spectra_initialized ) RETURN
323
324	IF ( dt_dosp /= 9999999.9_wp ) THEN
325
326	IF ( .NOT. ALLOCATED( spectrum_x ) ) THEN
327	ALLOCATE( spectrum_x( 1:nx/2, 1:100, 1:10 ) )
328	spectrum_x = 0.0_wp
329	ENDIF
330
331	IF ( .NOT. ALLOCATED( spectrum_y ) ) THEN
332	ALLOCATE( spectrum_y( 1:ny/2, 1:100, 1:10 ) )
333	spectrum_y = 0.0_wp
334	ENDIF
335
336	ALLOCATE( var_d(nzb:nzt+1) )
337	var_d = 0.0_wp
338	ENDIF
339
340	spectra_initialized = .TRUE.
341
342	END SUBROUTINE spectra_init
343
344
345
346	!------------------------------------------------------------------------------!
347	! Description:
348	! ------------
349	!> Check spectra related quantities
350	!------------------------------------------------------------------------------!
351	SUBROUTINE spectra_check_parameters
352
353	USE control_parameters, &
354	ONLY: averaging_interval, message_string, skip_time_data_output
355
356	IMPLICIT NONE
357
358	!
359	!-- Check the average interval
360	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
361	averaging_interval_sp = averaging_interval
362	ENDIF
363
364	IF ( averaging_interval_sp > dt_dosp ) THEN
365	WRITE( message_string, * ) 'averaging_interval_sp = ', &
366	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
367	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
368	ENDIF
369
370	!
371	!-- Set the default skip time interval for data output, if necessary
372	IF ( skip_time_dosp == 9999999.9_wp ) &
373	skip_time_dosp = skip_time_data_output
374
375	END SUBROUTINE spectra_check_parameters
376
377
378
379	!------------------------------------------------------------------------------!
380	! Description:
381	! ------------
382	!> Header output for spectra
383	!>
384	!> @todo Output of netcdf data format and compression level
385	!------------------------------------------------------------------------------!
386	SUBROUTINE spectra_header ( io )
387
388	USE control_parameters, &
389	ONLY: dt_averaging_input_pr
390
391	! USE netcdf_interface, &
392	! ONLY: netcdf_data_format_string, netcdf_deflate
393
394	IMPLICIT NONE
395
396	! CHARACTER (LEN=40) :: output_format !< internal string
397
398	INTEGER(iwp) :: i !< internal counter
399	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
400
401	!
402	!-- Spectra output
403	IF ( dt_dosp /= 9999999.9_wp ) THEN
404	WRITE ( io, 1 )
405
406	! output_format = netcdf_data_format_string
407	! IF ( netcdf_deflate == 0 ) THEN
408	! WRITE ( io, 2 ) output_format
409	! ELSE
410	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
411	! ENDIF
412	WRITE ( io, 2 ) 'see profiles or other quantities'
413	WRITE ( io, 4 ) dt_dosp
414	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
415	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
416	( spectra_direction(i), i = 1,10 ), &
417	( comp_spectra_level(i), i = 1,100 ), &
418	averaging_interval_sp, dt_averaging_input_pr
419	ENDIF
420
421	1 FORMAT (' Spectra:')
422	2 FORMAT (' Output format: ',A/)
423	! 3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
424	4 FORMAT (' Output every ',F7.1,' s'/)
425	5 FORMAT (' No output during initial ',F8.2,' s')
426	6 FORMAT (' Arrays: ', 10(A5,',')/ &
427	' Directions: ', 10(A5,',')/ &
428	' height levels k = ', 20(I3,',')/ &
429	' ', 20(I3,',')/ &
430	' ', 20(I3,',')/ &
431	' ', 20(I3,',')/ &
432	' ', 19(I3,','),I3,'.'/ &
433	' Time averaged over ', F7.1, ' s,' / &
434	' Profiles for the time averaging are taken every ', &
435	F6.1,' s')
436
437	END SUBROUTINE spectra_header
438
439
440
441	SUBROUTINE calc_spectra
442
443	USE arrays_3d, &
444	ONLY: d, tend
445
446	USE control_parameters, &
447	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
448
449	USE cpulog, &
450	ONLY: cpu_log, log_point
451
452	USE fft_xy, &
453	ONLY: fft_init
454
455	USE indices, &
456	ONLY: nxl, nxr, nyn, nys, nzb, nzt
457
458	USE kinds
459
460	USE pegrid, &
461	ONLY: myid, pdims
462
463	IMPLICIT NONE
464
465	INTEGER(iwp) :: m !<
466	INTEGER(iwp) :: pr !<
467
468
469	!
470	!-- Check if user gave any levels for spectra to be calculated
471	IF ( comp_spectra_level(1) == 999999 ) RETURN
472
473	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
474
475	!
476	!-- Initialize spectra related quantities
477	CALL spectra_init
478
479	!
480	!-- Initialize ffts
481	CALL fft_init
482
483	!
484	!-- Reallocate array d in required size
485	IF ( psolver(1:9) == 'multigrid' ) THEN
486	DEALLOCATE( d )
487	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
488	ENDIF
489
490	m = 1
491	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
492	!
493	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
494	!-- along x)
495	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
496
497	!
498	!-- Calculation of spectra works for cyclic boundary conditions only
499	IF ( .NOT. bc_lr_cyc ) THEN
500
501	message_string = 'non-cyclic lateral boundaries along x do'// &
502	' not & allow calculation of spectra along x'
503	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
504	ENDIF
505
506	CALL preprocess_spectra( m, pr )
507
508	#if defined( __parallel )
509	IF ( pdims(2) /= 1 ) THEN
510	CALL resort_for_zx( d, tend )
511	CALL transpose_zx( tend, d )
512	ELSE
513	CALL transpose_yxd( d, d )
514	ENDIF
515	CALL calc_spectra_x( d, m )
516	#else
517	message_string = 'sorry, calculation of spectra in non paral' // &
518	'lel mode& is still not realized'
519	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
520	#endif
521
522	ENDIF
523
524	!
525	!-- Transposition from z --> y (d is rearranged only in case of a
526	!-- 1d-decomposition along x)
527	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
528
529	!
530	!-- Calculation of spectra works for cyclic boundary conditions only
531	IF ( .NOT. bc_ns_cyc ) THEN
532	IF ( myid == 0 ) THEN
533	message_string = 'non-cyclic lateral boundaries along y' // &
534	' do not & allow calculation of spectra' //&
535	' along y'
536	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
537	ENDIF
538	CALL local_stop
539	ENDIF
540
541	CALL preprocess_spectra( m, pr )
542
543	#if defined( __parallel )
544	CALL transpose_zyd( d, d )
545	CALL calc_spectra_y( d, m )
546	#else
547	message_string = 'sorry, calculation of spectra in non paral' // &
548	'lel mode& is still not realized'
549	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
550	#endif
551
552	ENDIF
553
554	!
555	!-- Increase counter for next spectrum
556	m = m + 1
557
558	ENDDO
559
560	!
561	!-- Increase counter for averaging process in routine plot_spectra
562	average_count_sp = average_count_sp + 1
563
564	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
565
566	END SUBROUTINE calc_spectra
567
568
569	!------------------------------------------------------------------------------!
570	! Description:
571	! ------------
572	!> @todo Missing subroutine description.
573	!------------------------------------------------------------------------------!
574	SUBROUTINE preprocess_spectra( m, pr )
575
576	USE arrays_3d, &
577	ONLY: d, pt, q, s, u, v, w
578
579	USE indices, &
580	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
581
582	USE kinds
583
584	#if defined( __parallel )
585	#if !defined( __mpifh )
586	USE MPI
587	#endif
588	#endif
589
590	USE pegrid, &
591	ONLY: collective_wait, comm2d, ierr
592
593	USE statistics, &
594	ONLY: hom
595
596
597	IMPLICIT NONE
598
599	#if defined( __parallel )
600	#if defined( __mpifh )
601	INCLUDE "mpif.h"
602	#endif
603	#endif
604
605	INTEGER(iwp) :: i !<
606	INTEGER(iwp) :: j !<
607	INTEGER(iwp) :: k !<
608	INTEGER(iwp) :: m !<
609	INTEGER(iwp) :: pr !<
610
611	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
612
613	SELECT CASE ( TRIM( data_output_sp(m) ) )
614
615	CASE ( 'u' )
616	pr = 1
617	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
618
619	CASE ( 'v' )
620	pr = 2
621	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
622
623	CASE ( 'w' )
624	pr = 3
625	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
626
627	CASE ( 'theta' )
628	pr = 4
629	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
630
631	CASE ( 'q' )
632	pr = 41
633	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
634
635	CASE ( 's' )
636	pr = 117
637	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
638
639	CASE DEFAULT
640	!
641	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
642	!-- contains a wrong character string or if the user has coded a special
643	!-- case in the user interface. There, the subroutine user_spectra
644	!-- checks which of these two conditions applies.
645	CALL user_spectra( 'preprocess', m, pr )
646
647	END SELECT
648
649	!
650	!-- Subtract horizontal mean from the array, for which spectra have to be
651	!-- calculated. Moreover, calculate variance of the respective quantitiy,
652	!-- later used for normalizing spectra output.
653	var_d_l(:) = 0.0_wp
654	DO i = nxl, nxr
655	DO j = nys, nyn
656	DO k = nzb+1, nzt
657	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
658	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
659	ENDDO
660	ENDDO
661	ENDDO
662	!
663	!-- Compute total variance from local variances
664	var_d(:) = 0.0_wp
665	#if defined( __parallel )
666	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
667	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
668	comm2d, ierr )
669	#else
670	var_d(:) = var_d_l(:)
671	#endif
672	var_d(:) = var_d(:) / ngp_2dh(0)
673
674	END SUBROUTINE preprocess_spectra
675
676
677	!------------------------------------------------------------------------------!
678	! Description:
679	! ------------
680	!> @todo Missing subroutine description.
681	!------------------------------------------------------------------------------!
682	SUBROUTINE calc_spectra_x( ddd, m )
683
684	USE fft_xy, &
685	ONLY: fft_x_1d
686
687	USE grid_variables, &
688	ONLY: dx
689
690	USE indices, &
691	ONLY: nx, ny
692
693	USE kinds
694
695	#if defined( __parallel )
696	#if !defined( __mpifh )
697	USE MPI
698	#endif
699	#endif
700
701	USE pegrid, &
702	ONLY: comm2d, ierr, myid
703
704	USE transpose_indices, &
705	ONLY: nyn_x, nys_x, nzb_x, nzt_x
706
707
708	IMPLICIT NONE
709
710	#if defined( __parallel )
711	#if defined( __mpifh )
712	INCLUDE "mpif.h"
713	#endif
714	#endif
715
716	INTEGER(iwp) :: i !<
717	INTEGER(iwp) :: j !<
718	INTEGER(iwp) :: k !<
719	INTEGER(iwp) :: m !<
720	INTEGER(iwp) :: n !<
721
722	REAL(wp) :: exponent !<
723	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
724
725	REAL(wp), DIMENSION(0:nx) :: work !<
726
727	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
728
729	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
730
731	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
732
733	!
734	!-- Exponent for geometric average
735	exponent = 1.0_wp / ( ny + 1.0_wp )
736
737	!
738	!-- Loop over all levels defined by the user
739	n = 1
740	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
741
742	k = comp_spectra_level(n)
743
744	!
745	!-- Calculate FFT only if the corresponding level is situated on this PE
746	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
747
748	DO j = nys_x, nyn_x
749
750	work = ddd(0:nx,j,k)
751	CALL fft_x_1d( work, 'forward' )
752
753	ddd(0,j,k) = dx * work(0)**2
754	DO i = 1, nx/2
755	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
756	ENDDO
757
758	ENDDO
759
760	!
761	!-- Local sum and geometric average of these spectra
762	!-- (WARNING: no global sum should be performed, because floating
763	!-- point overflow may occur)
764	DO i = 0, nx/2
765
766	sums_spectra_l(i) = 1.0_wp
767	DO j = nys_x, nyn_x
768	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
769	ENDDO
770
771	ENDDO
772
773	ELSE
774
775	sums_spectra_l = 1.0_wp
776
777	ENDIF
778
779	!
780	!-- Global sum of spectra on PE0 (from where they are written on file)
781	sums_spectra(:,n) = 0.0_wp
782	#if defined( __parallel )
783	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
784	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
785	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
786	#else
787	sums_spectra(:,n) = sums_spectra_l
788	#endif
789	!
790	!-- Normalize spectra by variance
791	sum_spec_dum = SUM( sums_spectra(1:nx/2,n) )
792
793	IF ( sum_spec_dum /= 0.0_wp ) THEN
794	sums_spectra(1:nx/2,n) = sums_spectra(1:nx/2,n) * &
795	var_d(k) / sum_spec_dum
796	ENDIF
797	n = n + 1
798
799	ENDDO
800	n = n - 1
801
802	IF ( myid == 0 ) THEN
803	!
804	!-- Sum of spectra for later averaging (see routine data_output_spectra)
805	DO i = 1, nx/2
806	DO k = 1, n
807	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
808	ENDDO
809	ENDDO
810
811	ENDIF
812	!
813	!-- n_sp_x is needed by data_output_spectra_x
814	n_sp_x = n
815
816	END SUBROUTINE calc_spectra_x
817
818
819	!------------------------------------------------------------------------------!
820	! Description:
821	! ------------
822	!> @todo Missing subroutine description.
823	!------------------------------------------------------------------------------!
824	SUBROUTINE calc_spectra_y( ddd, m )
825
826	USE fft_xy, &
827	ONLY: fft_y_1d
828
829	USE grid_variables, &
830	ONLY: dy
831
832	USE indices, &
833	ONLY: nx, ny
834
835	USE kinds
836
837	#if defined( __parallel )
838	#if !defined( __mpifh )
839	USE MPI
840	#endif
841	#endif
842
843	USE pegrid, &
844	ONLY: comm2d, ierr, myid
845
846	USE transpose_indices, &
847	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
848
849
850	IMPLICIT NONE
851
852	#if defined( __parallel )
853	#if defined( __mpifh )
854	INCLUDE "mpif.h"
855	#endif
856	#endif
857
858	INTEGER(iwp) :: i !<
859	INTEGER(iwp) :: j !<
860	INTEGER(iwp) :: k !<
861	INTEGER(iwp) :: m !<
862	INTEGER(iwp) :: n !<
863
864	REAL(wp) :: exponent !<
865	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
866
867	REAL(wp), DIMENSION(0:ny) :: work !<
868
869	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
870
871	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
872
873	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
874
875
876	!
877	!-- Exponent for geometric average
878	exponent = 1.0_wp / ( nx + 1.0_wp )
879
880	!
881	!-- Loop over all levels defined by the user
882	n = 1
883	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
884
885	k = comp_spectra_level(n)
886
887	!
888	!-- Calculate FFT only if the corresponding level is situated on this PE
889	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
890
891	DO i = nxl_yd, nxr_yd
892
893	work = ddd(0:ny,i,k)
894	CALL fft_y_1d( work, 'forward' )
895
896	ddd(0,i,k) = dy * work(0)**2
897	DO j = 1, ny/2
898	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
899	ENDDO
900
901	ENDDO
902
903	!
904	!-- Local sum and geometric average of these spectra
905	!-- (WARNING: no global sum should be performed, because floating
906	!-- point overflow may occur)
907	DO j = 0, ny/2
908
909	sums_spectra_l(j) = 1.0_wp
910	DO i = nxl_yd, nxr_yd
911	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
912	ENDDO
913
914	ENDDO
915
916	ELSE
917
918	sums_spectra_l = 1.0_wp
919
920	ENDIF
921
922	!
923	!-- Global sum of spectra on PE0 (from where they are written on file)
924	sums_spectra(:,n) = 0.0_wp
925	#if defined( __parallel )
926	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
927	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
928	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
929	#else
930	sums_spectra(:,n) = sums_spectra_l
931	#endif
932	!
933	!-- Normalize spectra by variance
934	sum_spec_dum = SUM( sums_spectra(1:ny/2,n) )
935	IF ( sum_spec_dum /= 0.0_wp ) THEN
936	sums_spectra(1:ny/2,n) = sums_spectra(1:ny/2,n) * &
937	var_d(k) / sum_spec_dum
938	ENDIF
939	n = n + 1
940
941	ENDDO
942	n = n - 1
943
944
945	IF ( myid == 0 ) THEN
946	!
947	!-- Sum of spectra for later averaging (see routine data_output_spectra)
948	DO j = 1, ny/2
949	DO k = 1, n
950	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
951	ENDDO
952	ENDDO
953
954	ENDIF
955
956	!
957	!-- n_sp_y is needed by data_output_spectra_y
958	n_sp_y = n
959
960	END SUBROUTINE calc_spectra_y
961
962	END MODULE spectra_mod

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