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source: palm/trunk/SOURCE/spectra_mod.f90 @ 1833

Last change on this file since 1833 was 1833, checked in by raasch, 8 years ago
spectrum renamed spactra_par and further modularized, POINTER-attributes added in coupler-routines to avoid gfortran error messages
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 PALM.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms
6	! of the GNU General Public License as published by the Free Software Foundation,
7	! either version 3 of the License, or (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with
14	! PALM. If not, see <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2016 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
22	! here
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 1833 2016-04-07 14:23:03Z raasch $
27	!
28	! 1815 2016-04-06 13:49:59Z raasch
29	! bugfix: preprocessor directives included for the non-parallel case
30	!
31	! 1808 2016-04-05 19:44:00Z raasch
32	! MPI module used by default on all machines
33	!
34	! 1786 2016-03-08 05:49:27Z raasch
35	! routine is modularized, filename renamed from calc_spectra to spectrum,
36	! privious data module spectrum moved from modules.f90 to here,
37	! cpp-direktives for spectra removed, immediate return if no spectra levels are
38	! given
39	!
40	! 1682 2015-10-07 23:56:08Z knoop
41	! Code annotations made doxygen readable
42	!
43	! 1575 2015-03-27 09:56:27Z raasch
44	! adjustments for psolver-queries
45	!
46	! 1511 2014-12-16 15:54:16Z suehring
47	! Bugfix concerning spectra normalization
48	!
49	! 1431 2014-07-15 14:47:17Z suehring
50	! Wavenumber-integrated spectra coincide with respective variance.
51	!
52	! 1342 2014-03-26 17:04:47Z kanani
53	! REAL constants defined as wp-kinds
54	!
55	! 1324 2014-03-21 09:13:16Z suehring
56	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
57	!
58	! 1320 2014-03-20 08:40:49Z raasch
59	! ONLY-attribute added to USE-statements,
60	! kind-parameters added to all INTEGER and REAL declaration statements,
61	! kinds are defined in new module kinds,
62	! revision history before 2012 removed,
63	! comment fields (!:) to be used for variable explanations added to
64	! all variable declaration statements
65	!
66	! 1318 2014-03-17 13:35:16Z raasch
67	! module interfaces removed
68	!
69	! 1216 2013-08-26 09:31:42Z raasch
70	! resorting of array moved to separate routine resort_for_zx,
71	! one argument removed from the transpose_..d routines
72	!
73	! 1120 2013-04-05 15:11:35Z raasch
74	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
75	!
76	! 1036 2012-10-22 13:43:42Z raasch
77	! code put under GPL (PALM 3.9)
78	!
79	! 1003 2012-09-14 14:35:53Z raasch
80	! adjustment of array tend for cases with unequal subdomain sizes removed
81	!
82	! Revision 1.1 2001/01/05 15:08:07 raasch
83	! Initial revision
84	!
85	!
86	! Description:
87	! ------------
88	!> Calculate horizontal spectra along x and y.
89	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
90	!> case the gridpoint number along z still depends on the PE number
91	!> because transpose_xz has to be used (and possibly also
92	!> transpose_zyd needs modification).
93	!------------------------------------------------------------------------------!
94	MODULE spectra_mod
95
96	USE kinds
97
98	PRIVATE
99
100	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
101	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
102
103	INTEGER(iwp) :: average_count_sp = 0
104	INTEGER(iwp) :: dosp_time_count = 0
105	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
106
107	INTEGER(iwp) :: comp_spectra_level(100) = 999999
108
109	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
110	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
111
112	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
113	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
114	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
115
116	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
117
118	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
119
120	SAVE
121
122	INTERFACE calc_spectra
123	MODULE PROCEDURE calc_spectra
124	END INTERFACE calc_spectra
125
126	INTERFACE preprocess_spectra
127	MODULE PROCEDURE preprocess_spectra
128	END INTERFACE preprocess_spectra
129
130	INTERFACE calc_spectra_x
131	MODULE PROCEDURE calc_spectra_x
132	END INTERFACE calc_spectra_x
133
134	INTERFACE calc_spectra_y
135	MODULE PROCEDURE calc_spectra_y
136	END INTERFACE calc_spectra_y
137
138	INTERFACE spectra_check_parameters
139	MODULE PROCEDURE spectra_check_parameters
140	END INTERFACE spectra_check_parameters
141
142	INTERFACE spectra_header
143	MODULE PROCEDURE spectra_header
144	END INTERFACE spectra_header
145
146	INTERFACE spectra_init
147	MODULE PROCEDURE spectra_init
148	END INTERFACE spectra_init
149
150	INTERFACE spectra_parin
151	MODULE PROCEDURE spectra_parin
152	END INTERFACE spectra_parin
153
154	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
155	calculate_spectra, comp_spectra_level, data_output_sp, &
156	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
157	skip_time_dosp, spectra_check_parameters, spectra_direction, &
158	spectra_header, spectra_init, spectra_parin, spectrum_x, &
159	spectrum_y, var_d
160
161
162	CONTAINS
163
164	!------------------------------------------------------------------------------!
165	! Description:
166	! ------------
167	!> Parin for &spectra_par for calculating spectra
168	!------------------------------------------------------------------------------!
169	SUBROUTINE spectra_parin
170
171	USE control_parameters, &
172	ONLY: dt_data_output
173
174	IMPLICIT NONE
175
176	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
177	!< line of the parameter file
178
179	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
180	data_output_sp, dt_dosp, skip_time_dosp, &
181	spectra_direction
182
183
184	!
185	!-- Position the namelist-file at the beginning (it was already opened in
186	!-- parin), search for the namelist-group of the package and position the
187	!-- file at this line.
188	line = ' '
189
190	!
191	!-- Try to find the spectra package
192	REWIND ( 11 )
193	line = ' '
194	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
195	READ ( 11, '(A)', END=10 ) line
196	ENDDO
197	BACKSPACE ( 11 )
198
199	!
200	!-- Read namelist
201	READ ( 11, spectra_par )
202
203	!
204	!-- Default setting of dt_dosp here (instead of check_parameters), because
205	!-- its current value is needed in init_pegrid
206	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
207
208	!
209	!-- Set general switch that spectra shall be calculated
210	calculate_spectra = .TRUE.
211
212	10 CONTINUE
213
214	END SUBROUTINE spectra_parin
215
216
217
218	!------------------------------------------------------------------------------!
219	! Description:
220	! ------------
221	!> Initialization of spectra related variables
222	!------------------------------------------------------------------------------!
223	SUBROUTINE spectra_init
224
225	USE indices, &
226	ONLY: nx, ny, nzb, nzt
227
228	IMPLICIT NONE
229
230	IF ( spectra_initialized ) RETURN
231
232	IF ( dt_dosp /= 9999999.9_wp ) THEN
233	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
234	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
235	spectrum_x = 0.0_wp
236	spectrum_y = 0.0_wp
237
238	ALLOCATE( var_d(nzb:nzt+1) )
239	var_d = 0.0_wp
240	ENDIF
241
242	spectra_initialized = .TRUE.
243
244	END SUBROUTINE spectra_init
245
246
247
248	!------------------------------------------------------------------------------!
249	! Description:
250	! ------------
251	!> Check spectra related quantities
252	!------------------------------------------------------------------------------!
253	SUBROUTINE spectra_check_parameters
254
255	USE control_parameters, &
256	ONLY: averaging_interval, message_string, skip_time_data_output
257
258	IMPLICIT NONE
259
260	!
261	!-- Check the average interval
262	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
263	averaging_interval_sp = averaging_interval
264	ENDIF
265
266	IF ( averaging_interval_sp > dt_dosp ) THEN
267	WRITE( message_string, * ) 'averaging_interval_sp = ', &
268	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
269	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
270	ENDIF
271
272	!
273	!-- Set the default skip time interval for data output, if necessary
274	IF ( skip_time_dosp == 9999999.9_wp ) &
275	skip_time_dosp = skip_time_data_output
276
277	END SUBROUTINE spectra_check_parameters
278
279
280
281	!------------------------------------------------------------------------------!
282	! Description:
283	! ------------
284	!> Header output for spectra
285	!>
286	!> @todo Output of netcdf data format and compression level
287	!------------------------------------------------------------------------------!
288	SUBROUTINE spectra_header ( io )
289
290	USE control_parameters, &
291	ONLY: dt_averaging_input_pr
292
293	! USE netcdf_interface, &
294	! ONLY: netcdf_data_format_string, netcdf_deflate
295
296	IMPLICIT NONE
297
298	CHARACTER (LEN=40) :: output_format !< internal string
299
300	INTEGER(iwp) :: i !< internal counter
301	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
302
303	!
304	!-- Spectra output
305	IF ( dt_dosp /= 9999999.9_wp ) THEN
306	WRITE ( io, 1 )
307
308	! output_format = netcdf_data_format_string
309	! IF ( netcdf_deflate == 0 ) THEN
310	! WRITE ( io, 2 ) output_format
311	! ELSE
312	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
313	! ENDIF
314	WRITE ( io, 2 ) 'see profiles or other quantities'
315	WRITE ( io, 4 ) dt_dosp
316	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
317	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
318	( spectra_direction(i), i = 1,10 ), &
319	( comp_spectra_level(i), i = 1,100 ), &
320	averaging_interval_sp, dt_averaging_input_pr
321	ENDIF
322
323	1 FORMAT (' Spectra:')
324	2 FORMAT (' Output format: ',A/)
325	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
326	4 FORMAT (' Output every ',F7.1,' s'/)
327	5 FORMAT (' No output during initial ',F8.2,' s')
328	6 FORMAT (' Arrays: ', 10(A5,',')/ &
329	' Directions: ', 10(A5,',')/ &
330	' height levels k = ', 20(I3,',')/ &
331	' ', 20(I3,',')/ &
332	' ', 20(I3,',')/ &
333	' ', 20(I3,',')/ &
334	' ', 19(I3,','),I3,'.'/ &
335	' Time averaged over ', F7.1, ' s,' / &
336	' Profiles for the time averaging are taken every ', &
337	F6.1,' s')
338
339	END SUBROUTINE spectra_header
340
341
342
343	SUBROUTINE calc_spectra
344
345	USE arrays_3d, &
346	ONLY: d, tend
347
348	USE control_parameters, &
349	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
350
351	USE cpulog, &
352	ONLY: cpu_log, log_point
353
354	USE fft_xy, &
355	ONLY: fft_init
356
357	USE indices, &
358	ONLY: nxl, nxr, nyn, nys, nzb, nzt
359
360	USE kinds
361
362	USE pegrid, &
363	ONLY: myid, pdims
364
365	IMPLICIT NONE
366
367	INTEGER(iwp) :: m !<
368	INTEGER(iwp) :: pr !<
369
370
371	!
372	!-- Check if user gave any levels for spectra to be calculated
373	IF ( comp_spectra_level(1) == 999999 ) RETURN
374
375	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
376
377	!
378	!-- Initialize spectra related quantities
379	CALL spectra_init
380
381	!
382	!-- Initialize ffts
383	CALL fft_init
384
385	!
386	!-- Reallocate array d in required size
387	IF ( psolver(1:9) == 'multigrid' ) THEN
388	DEALLOCATE( d )
389	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
390	ENDIF
391
392	m = 1
393	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
394	!
395	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
396	!-- along x)
397	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
398
399	!
400	!-- Calculation of spectra works for cyclic boundary conditions only
401	IF ( .NOT. bc_lr_cyc ) THEN
402
403	message_string = 'non-cyclic lateral boundaries along x do'// &
404	' not & allow calculation of spectra along x'
405	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
406	ENDIF
407
408	CALL preprocess_spectra( m, pr )
409
410	#if defined( __parallel )
411	IF ( pdims(2) /= 1 ) THEN
412	CALL resort_for_zx( d, tend )
413	CALL transpose_zx( tend, d )
414	ELSE
415	CALL transpose_yxd( d, d )
416	ENDIF
417	CALL calc_spectra_x( d, pr, m )
418	#else
419	message_string = 'sorry, calculation of spectra in non paral' // &
420	'lel mode& is still not realized'
421	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
422	#endif
423
424	ENDIF
425
426	!
427	!-- Transposition from z --> y (d is rearranged only in case of a
428	!-- 1d-decomposition along x)
429	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
430
431	!
432	!-- Calculation of spectra works for cyclic boundary conditions only
433	IF ( .NOT. bc_ns_cyc ) THEN
434	IF ( myid == 0 ) THEN
435	message_string = 'non-cyclic lateral boundaries along y' // &
436	' do not & allow calculation of spectr' // &
437	'a along y'
438	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
439	ENDIF
440	CALL local_stop
441	ENDIF
442
443	CALL preprocess_spectra( m, pr )
444
445	#if defined( __parallel )
446	CALL transpose_zyd( d, d )
447	CALL calc_spectra_y( d, pr, m )
448	#else
449	message_string = 'sorry, calculation of spectra in non paral' // &
450	'lel mode& is still not realized'
451	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
452	#endif
453
454	ENDIF
455
456	!
457	!-- Increase counter for next spectrum
458	m = m + 1
459
460	ENDDO
461
462	!
463	!-- Increase counter for averaging process in routine plot_spectra
464	average_count_sp = average_count_sp + 1
465
466	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
467
468	END SUBROUTINE calc_spectra
469
470
471	!------------------------------------------------------------------------------!
472	! Description:
473	! ------------
474	!> @todo Missing subroutine description.
475	!------------------------------------------------------------------------------!
476	SUBROUTINE preprocess_spectra( m, pr )
477
478	USE arrays_3d, &
479	ONLY: d, pt, q, u, v, w
480
481	USE indices, &
482	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
483
484	USE kinds
485
486	#if defined( __parallel )
487	#if defined( __mpifh )
488	INCLUDE "mpif.h"
489	#else
490	USE MPI
491	#endif
492	#endif
493	USE pegrid, &
494	ONLY: collective_wait, comm2d, ierr
495
496	USE statistics, &
497	ONLY: hom
498
499
500	IMPLICIT NONE
501
502	INTEGER(iwp) :: i !<
503	INTEGER(iwp) :: j !<
504	INTEGER(iwp) :: k !<
505	INTEGER(iwp) :: m !<
506	INTEGER(iwp) :: pr !<
507
508	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
509
510	SELECT CASE ( TRIM( data_output_sp(m) ) )
511
512	CASE ( 'u' )
513	pr = 1
514	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
515
516	CASE ( 'v' )
517	pr = 2
518	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
519
520	CASE ( 'w' )
521	pr = 3
522	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
523
524	CASE ( 'pt' )
525	pr = 4
526	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
527
528	CASE ( 'q' )
529	pr = 41
530	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
531
532	CASE DEFAULT
533	!
534	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
535	!-- contains a wrong character string or if the user has coded a special
536	!-- case in the user interface. There, the subroutine user_spectra
537	!-- checks which of these two conditions applies.
538	CALL user_spectra( 'preprocess', m, pr )
539
540	END SELECT
541
542	!
543	!-- Subtract horizontal mean from the array, for which spectra have to be
544	!-- calculated
545	var_d_l(:) = 0.0_wp
546	DO i = nxl, nxr
547	DO j = nys, nyn
548	DO k = nzb+1, nzt
549	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
550	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
551	ENDDO
552	ENDDO
553	ENDDO
554	!
555	!-- Compute total variance from local variances
556	var_d(:) = 0.0_wp
557	#if defined( __parallel )
558	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
559	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
560	comm2d, ierr )
561	#else
562	var_d(:) = var_d_l(:)
563	#endif
564	var_d(:) = var_d(:) / ngp_2dh(0)
565
566	END SUBROUTINE preprocess_spectra
567
568
569	!------------------------------------------------------------------------------!
570	! Description:
571	! ------------
572	!> @todo Missing subroutine description.
573	!------------------------------------------------------------------------------!
574	SUBROUTINE calc_spectra_x( ddd, pr, m )
575
576	USE control_parameters, &
577	ONLY: fft_method
578
579	USE fft_xy, &
580	ONLY: fft_x_1d
581
582	USE grid_variables, &
583	ONLY: dx
584
585	USE indices, &
586	ONLY: nx, ny
587
588	USE kinds
589
590	#if defined( __parallel )
591	#if defined( __mpifh )
592	INCLUDE "mpif.h"
593	#else
594	USE MPI
595	#endif
596	#endif
597	USE pegrid, &
598	ONLY: comm2d, ierr, myid
599
600	USE transpose_indices, &
601	ONLY: nyn_x, nys_x, nzb_x, nzt_x
602
603
604	IMPLICIT NONE
605
606	INTEGER(iwp) :: i !<
607	INTEGER(iwp) :: ishape(1) !<
608	INTEGER(iwp) :: j !<
609	INTEGER(iwp) :: k !<
610	INTEGER(iwp) :: m !<
611	INTEGER(iwp) :: n !<
612	INTEGER(iwp) :: pr !<
613
614	REAL(wp) :: exponent !<
615	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
616
617	REAL(wp), DIMENSION(0:nx) :: work !<
618
619	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
620
621	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
622
623	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
624
625	!
626	!-- Exponent for geometric average
627	exponent = 1.0_wp / ( ny + 1.0_wp )
628
629	!
630	!-- Loop over all levels defined by the user
631	n = 1
632	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
633
634	k = comp_spectra_level(n)
635
636	!
637	!-- Calculate FFT only if the corresponding level is situated on this PE
638	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
639
640	DO j = nys_x, nyn_x
641
642	work = ddd(0:nx,j,k)
643	CALL fft_x_1d( work, 'forward' )
644
645	ddd(0,j,k) = dx * work(0)**2
646	DO i = 1, nx/2
647	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
648	ENDDO
649
650	ENDDO
651
652	!
653	!-- Local sum and geometric average of these spectra
654	!-- (WARNING: no global sum should be performed, because floating
655	!-- point overflow may occur)
656	DO i = 0, nx/2
657
658	sums_spectra_l(i) = 1.0_wp
659	DO j = nys_x, nyn_x
660	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
661	ENDDO
662
663	ENDDO
664
665	ELSE
666
667	sums_spectra_l = 1.0_wp
668
669	ENDIF
670
671	!
672	!-- Global sum of spectra on PE0 (from where they are written on file)
673	sums_spectra(:,n) = 0.0_wp
674	#if defined( __parallel )
675	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
676	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
677	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
678	#else
679	sums_spectra(:,n) = sums_spectra_l
680	#endif
681	!
682	!-- Normalize spectra by variance
683	sum_spec_dum = SUM( sums_spectra(:,n) )
684	IF ( sum_spec_dum /= 0.0_wp ) THEN
685	sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / sum_spec_dum
686	ENDIF
687	n = n + 1
688
689	ENDDO
690	n = n - 1
691
692	IF ( myid == 0 ) THEN
693	!
694	!-- Sum of spectra for later averaging (see routine data_output_spectra)
695	DO i = 1, nx/2
696	DO k = 1, n
697	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
698	ENDDO
699	ENDDO
700
701	ENDIF
702	!
703	!-- n_sp_x is needed by data_output_spectra_x
704	n_sp_x = n
705
706	END SUBROUTINE calc_spectra_x
707
708
709	!------------------------------------------------------------------------------!
710	! Description:
711	! ------------
712	!> @todo Missing subroutine description.
713	!------------------------------------------------------------------------------!
714	SUBROUTINE calc_spectra_y( ddd, pr, m )
715
716	USE control_parameters, &
717	ONLY: fft_method
718
719	USE fft_xy, &
720	ONLY: fft_y_1d
721
722	USE grid_variables, &
723	ONLY: dy
724
725	USE indices, &
726	ONLY: nx, ny
727
728	USE kinds
729
730	#if defined( __parallel )
731	#if defined( __mpifh )
732	INCLUDE "mpif.h"
733	#else
734	USE MPI
735	#endif
736	#endif
737	USE pegrid, &
738	ONLY: comm2d, ierr, myid
739
740	USE transpose_indices, &
741	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
742
743
744	IMPLICIT NONE
745
746	INTEGER(iwp) :: i !<
747	INTEGER(iwp) :: j !<
748	INTEGER(iwp) :: jshape(1) !<
749	INTEGER(iwp) :: k !<
750	INTEGER(iwp) :: m !<
751	INTEGER(iwp) :: n !<
752	INTEGER(iwp) :: pr !<
753
754	REAL(wp) :: exponent !<
755	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
756
757	REAL(wp), DIMENSION(0:ny) :: work !<
758
759	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
760
761	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
762
763	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
764
765
766	!
767	!-- Exponent for geometric average
768	exponent = 1.0_wp / ( nx + 1.0_wp )
769
770	!
771	!-- Loop over all levels defined by the user
772	n = 1
773	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
774
775	k = comp_spectra_level(n)
776
777	!
778	!-- Calculate FFT only if the corresponding level is situated on this PE
779	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
780
781	DO i = nxl_yd, nxr_yd
782
783	work = ddd(0:ny,i,k)
784	CALL fft_y_1d( work, 'forward' )
785
786	ddd(0,i,k) = dy * work(0)**2
787	DO j = 1, ny/2
788	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
789	ENDDO
790
791	ENDDO
792
793	!
794	!-- Local sum and geometric average of these spectra
795	!-- (WARNING: no global sum should be performed, because floating
796	!-- point overflow may occur)
797	DO j = 0, ny/2
798
799	sums_spectra_l(j) = 1.0_wp
800	DO i = nxl_yd, nxr_yd
801	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
802	ENDDO
803
804	ENDDO
805
806	ELSE
807
808	sums_spectra_l = 1.0_wp
809
810	ENDIF
811
812	!
813	!-- Global sum of spectra on PE0 (from where they are written on file)
814	sums_spectra(:,n) = 0.0_wp
815	#if defined( __parallel )
816	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
817	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
818	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
819	#else
820	sums_spectra(:,n) = sums_spectra_l
821	#endif
822	!
823	!-- Normalize spectra by variance
824	sum_spec_dum = SUM( sums_spectra(:,n) )
825	IF ( SUM(sums_spectra(:,n)) /= 0.0_wp ) THEN
826	sums_spectra(:,n) = sums_spectra(:,n) * &
827	var_d(k) / SUM(sums_spectra(:,n))
828	ENDIF
829	n = n + 1
830
831	ENDDO
832	n = n - 1
833
834
835	IF ( myid == 0 ) THEN
836	!
837	!-- Sum of spectra for later averaging (see routine data_output_spectra)
838	DO j = 1, ny/2
839	DO k = 1, n
840	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
841	ENDDO
842	ENDDO
843
844	ENDIF
845
846	!
847	!-- n_sp_y is needed by data_output_spectra_y
848	n_sp_y = n
849
850	END SUBROUTINE calc_spectra_y
851
852	END MODULE spectra_mod

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