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source: palm/trunk/SOURCE/spectra_mod.f90 @ 2000

Last change on this file since 2000 was 2000, checked in by knoop, 8 years ago
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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
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 1997-2016 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	! Forced header and separation lines into 80 columns
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: spectra_mod.f90 2000 2016-08-20 18:09:15Z knoop $
27	!
28	! 1960 2016-07-12 16:34:24Z suehring
29	! Additional default spectra for passive scalar
30	!
31	! 1833 2016-04-07 14:23:03Z raasch
32	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
33	! here
34	!
35	! 1815 2016-04-06 13:49:59Z raasch
36	! bugfix: preprocessor directives included for the non-parallel case
37	!
38	! 1808 2016-04-05 19:44:00Z raasch
39	! MPI module used by default on all machines
40	!
41	! 1786 2016-03-08 05:49:27Z raasch
42	! routine is modularized, filename renamed from calc_spectra to spectrum,
43	! privious data module spectrum moved from modules.f90 to here,
44	! cpp-direktives for spectra removed, immediate return if no spectra levels are
45	! given
46	!
47	! 1682 2015-10-07 23:56:08Z knoop
48	! Code annotations made doxygen readable
49	!
50	! 1575 2015-03-27 09:56:27Z raasch
51	! adjustments for psolver-queries
52	!
53	! 1511 2014-12-16 15:54:16Z suehring
54	! Bugfix concerning spectra normalization
55	!
56	! 1431 2014-07-15 14:47:17Z suehring
57	! Wavenumber-integrated spectra coincide with respective variance.
58	!
59	! 1342 2014-03-26 17:04:47Z kanani
60	! REAL constants defined as wp-kinds
61	!
62	! 1324 2014-03-21 09:13:16Z suehring
63	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
64	!
65	! 1320 2014-03-20 08:40:49Z raasch
66	! ONLY-attribute added to USE-statements,
67	! kind-parameters added to all INTEGER and REAL declaration statements,
68	! kinds are defined in new module kinds,
69	! revision history before 2012 removed,
70	! comment fields (!:) to be used for variable explanations added to
71	! all variable declaration statements
72	!
73	! 1318 2014-03-17 13:35:16Z raasch
74	! module interfaces removed
75	!
76	! 1216 2013-08-26 09:31:42Z raasch
77	! resorting of array moved to separate routine resort_for_zx,
78	! one argument removed from the transpose_..d routines
79	!
80	! 1120 2013-04-05 15:11:35Z raasch
81	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
82	!
83	! 1036 2012-10-22 13:43:42Z raasch
84	! code put under GPL (PALM 3.9)
85	!
86	! 1003 2012-09-14 14:35:53Z raasch
87	! adjustment of array tend for cases with unequal subdomain sizes removed
88	!
89	! Revision 1.1 2001/01/05 15:08:07 raasch
90	! Initial revision
91	!
92	!
93	! Description:
94	! ------------
95	!> Calculate horizontal spectra along x and y.
96	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
97	!> case the gridpoint number along z still depends on the PE number
98	!> because transpose_xz has to be used (and possibly also
99	!> transpose_zyd needs modification).
100	!------------------------------------------------------------------------------!
101	MODULE spectra_mod
102
103	USE kinds
104
105	PRIVATE
106
107	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
108	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
109
110	INTEGER(iwp) :: average_count_sp = 0
111	INTEGER(iwp) :: dosp_time_count = 0
112	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
113
114	INTEGER(iwp) :: comp_spectra_level(100) = 999999
115
116	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
117	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
118
119	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
120	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
121	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
122
123	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
124
125	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
126
127	SAVE
128
129	INTERFACE calc_spectra
130	MODULE PROCEDURE calc_spectra
131	END INTERFACE calc_spectra
132
133	INTERFACE preprocess_spectra
134	MODULE PROCEDURE preprocess_spectra
135	END INTERFACE preprocess_spectra
136
137	INTERFACE calc_spectra_x
138	MODULE PROCEDURE calc_spectra_x
139	END INTERFACE calc_spectra_x
140
141	INTERFACE calc_spectra_y
142	MODULE PROCEDURE calc_spectra_y
143	END INTERFACE calc_spectra_y
144
145	INTERFACE spectra_check_parameters
146	MODULE PROCEDURE spectra_check_parameters
147	END INTERFACE spectra_check_parameters
148
149	INTERFACE spectra_header
150	MODULE PROCEDURE spectra_header
151	END INTERFACE spectra_header
152
153	INTERFACE spectra_init
154	MODULE PROCEDURE spectra_init
155	END INTERFACE spectra_init
156
157	INTERFACE spectra_parin
158	MODULE PROCEDURE spectra_parin
159	END INTERFACE spectra_parin
160
161	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
162	calculate_spectra, comp_spectra_level, data_output_sp, &
163	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
164	skip_time_dosp, spectra_check_parameters, spectra_direction, &
165	spectra_header, spectra_init, spectra_parin, spectrum_x, &
166	spectrum_y, var_d
167
168
169	CONTAINS
170
171	!------------------------------------------------------------------------------!
172	! Description:
173	! ------------
174	!> Parin for &spectra_par for calculating spectra
175	!------------------------------------------------------------------------------!
176	SUBROUTINE spectra_parin
177
178	USE control_parameters, &
179	ONLY: dt_data_output
180
181	IMPLICIT NONE
182
183	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
184	!< line of the parameter file
185
186	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
187	data_output_sp, dt_dosp, skip_time_dosp, &
188	spectra_direction
189
190
191	!
192	!-- Position the namelist-file at the beginning (it was already opened in
193	!-- parin), search for the namelist-group of the package and position the
194	!-- file at this line.
195	line = ' '
196
197	!
198	!-- Try to find the spectra package
199	REWIND ( 11 )
200	line = ' '
201	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
202	READ ( 11, '(A)', END=10 ) line
203	ENDDO
204	BACKSPACE ( 11 )
205
206	!
207	!-- Read namelist
208	READ ( 11, spectra_par )
209
210	!
211	!-- Default setting of dt_dosp here (instead of check_parameters), because
212	!-- its current value is needed in init_pegrid
213	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
214
215	!
216	!-- Set general switch that spectra shall be calculated
217	calculate_spectra = .TRUE.
218
219	10 CONTINUE
220
221	END SUBROUTINE spectra_parin
222
223
224
225	!------------------------------------------------------------------------------!
226	! Description:
227	! ------------
228	!> Initialization of spectra related variables
229	!------------------------------------------------------------------------------!
230	SUBROUTINE spectra_init
231
232	USE indices, &
233	ONLY: nx, ny, nzb, nzt
234
235	IMPLICIT NONE
236
237	IF ( spectra_initialized ) RETURN
238
239	IF ( dt_dosp /= 9999999.9_wp ) THEN
240	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
241	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
242	spectrum_x = 0.0_wp
243	spectrum_y = 0.0_wp
244
245	ALLOCATE( var_d(nzb:nzt+1) )
246	var_d = 0.0_wp
247	ENDIF
248
249	spectra_initialized = .TRUE.
250
251	END SUBROUTINE spectra_init
252
253
254
255	!------------------------------------------------------------------------------!
256	! Description:
257	! ------------
258	!> Check spectra related quantities
259	!------------------------------------------------------------------------------!
260	SUBROUTINE spectra_check_parameters
261
262	USE control_parameters, &
263	ONLY: averaging_interval, message_string, skip_time_data_output
264
265	IMPLICIT NONE
266
267	!
268	!-- Check the average interval
269	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
270	averaging_interval_sp = averaging_interval
271	ENDIF
272
273	IF ( averaging_interval_sp > dt_dosp ) THEN
274	WRITE( message_string, * ) 'averaging_interval_sp = ', &
275	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
276	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
277	ENDIF
278
279	!
280	!-- Set the default skip time interval for data output, if necessary
281	IF ( skip_time_dosp == 9999999.9_wp ) &
282	skip_time_dosp = skip_time_data_output
283
284	END SUBROUTINE spectra_check_parameters
285
286
287
288	!------------------------------------------------------------------------------!
289	! Description:
290	! ------------
291	!> Header output for spectra
292	!>
293	!> @todo Output of netcdf data format and compression level
294	!------------------------------------------------------------------------------!
295	SUBROUTINE spectra_header ( io )
296
297	USE control_parameters, &
298	ONLY: dt_averaging_input_pr
299
300	! USE netcdf_interface, &
301	! ONLY: netcdf_data_format_string, netcdf_deflate
302
303	IMPLICIT NONE
304
305	CHARACTER (LEN=40) :: output_format !< internal string
306
307	INTEGER(iwp) :: i !< internal counter
308	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
309
310	!
311	!-- Spectra output
312	IF ( dt_dosp /= 9999999.9_wp ) THEN
313	WRITE ( io, 1 )
314
315	! output_format = netcdf_data_format_string
316	! IF ( netcdf_deflate == 0 ) THEN
317	! WRITE ( io, 2 ) output_format
318	! ELSE
319	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
320	! ENDIF
321	WRITE ( io, 2 ) 'see profiles or other quantities'
322	WRITE ( io, 4 ) dt_dosp
323	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
324	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
325	( spectra_direction(i), i = 1,10 ), &
326	( comp_spectra_level(i), i = 1,100 ), &
327	averaging_interval_sp, dt_averaging_input_pr
328	ENDIF
329
330	1 FORMAT (' Spectra:')
331	2 FORMAT (' Output format: ',A/)
332	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
333	4 FORMAT (' Output every ',F7.1,' s'/)
334	5 FORMAT (' No output during initial ',F8.2,' s')
335	6 FORMAT (' Arrays: ', 10(A5,',')/ &
336	' Directions: ', 10(A5,',')/ &
337	' height levels k = ', 20(I3,',')/ &
338	' ', 20(I3,',')/ &
339	' ', 20(I3,',')/ &
340	' ', 20(I3,',')/ &
341	' ', 19(I3,','),I3,'.'/ &
342	' Time averaged over ', F7.1, ' s,' / &
343	' Profiles for the time averaging are taken every ', &
344	F6.1,' s')
345
346	END SUBROUTINE spectra_header
347
348
349
350	SUBROUTINE calc_spectra
351
352	USE arrays_3d, &
353	ONLY: d, tend
354
355	USE control_parameters, &
356	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
357
358	USE cpulog, &
359	ONLY: cpu_log, log_point
360
361	USE fft_xy, &
362	ONLY: fft_init
363
364	USE indices, &
365	ONLY: nxl, nxr, nyn, nys, nzb, nzt
366
367	USE kinds
368
369	USE pegrid, &
370	ONLY: myid, pdims
371
372	IMPLICIT NONE
373
374	INTEGER(iwp) :: m !<
375	INTEGER(iwp) :: pr !<
376
377
378	!
379	!-- Check if user gave any levels for spectra to be calculated
380	IF ( comp_spectra_level(1) == 999999 ) RETURN
381
382	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
383
384	!
385	!-- Initialize spectra related quantities
386	CALL spectra_init
387
388	!
389	!-- Initialize ffts
390	CALL fft_init
391
392	!
393	!-- Reallocate array d in required size
394	IF ( psolver(1:9) == 'multigrid' ) THEN
395	DEALLOCATE( d )
396	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
397	ENDIF
398
399	m = 1
400	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
401	!
402	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
403	!-- along x)
404	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
405
406	!
407	!-- Calculation of spectra works for cyclic boundary conditions only
408	IF ( .NOT. bc_lr_cyc ) THEN
409
410	message_string = 'non-cyclic lateral boundaries along x do'// &
411	' not & allow calculation of spectra along x'
412	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
413	ENDIF
414
415	CALL preprocess_spectra( m, pr )
416
417	#if defined( __parallel )
418	IF ( pdims(2) /= 1 ) THEN
419	CALL resort_for_zx( d, tend )
420	CALL transpose_zx( tend, d )
421	ELSE
422	CALL transpose_yxd( d, d )
423	ENDIF
424	CALL calc_spectra_x( d, pr, m )
425	#else
426	message_string = 'sorry, calculation of spectra in non paral' // &
427	'lel mode& is still not realized'
428	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
429	#endif
430
431	ENDIF
432
433	!
434	!-- Transposition from z --> y (d is rearranged only in case of a
435	!-- 1d-decomposition along x)
436	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
437
438	!
439	!-- Calculation of spectra works for cyclic boundary conditions only
440	IF ( .NOT. bc_ns_cyc ) THEN
441	IF ( myid == 0 ) THEN
442	message_string = 'non-cyclic lateral boundaries along y' // &
443	' do not & allow calculation of spectr' // &
444	'a along y'
445	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
446	ENDIF
447	CALL local_stop
448	ENDIF
449
450	CALL preprocess_spectra( m, pr )
451
452	#if defined( __parallel )
453	CALL transpose_zyd( d, d )
454	CALL calc_spectra_y( d, pr, m )
455	#else
456	message_string = 'sorry, calculation of spectra in non paral' // &
457	'lel mode& is still not realized'
458	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
459	#endif
460
461	ENDIF
462
463	!
464	!-- Increase counter for next spectrum
465	m = m + 1
466
467	ENDDO
468
469	!
470	!-- Increase counter for averaging process in routine plot_spectra
471	average_count_sp = average_count_sp + 1
472
473	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
474
475	END SUBROUTINE calc_spectra
476
477
478	!------------------------------------------------------------------------------!
479	! Description:
480	! ------------
481	!> @todo Missing subroutine description.
482	!------------------------------------------------------------------------------!
483	SUBROUTINE preprocess_spectra( m, pr )
484
485	USE arrays_3d, &
486	ONLY: d, pt, q, s, u, v, w
487
488	USE indices, &
489	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
490
491	USE kinds
492
493	#if defined( __parallel )
494	#if defined( __mpifh )
495	INCLUDE "mpif.h"
496	#else
497	USE MPI
498	#endif
499	#endif
500	USE pegrid, &
501	ONLY: collective_wait, comm2d, ierr
502
503	USE statistics, &
504	ONLY: hom
505
506
507	IMPLICIT NONE
508
509	INTEGER(iwp) :: i !<
510	INTEGER(iwp) :: j !<
511	INTEGER(iwp) :: k !<
512	INTEGER(iwp) :: m !<
513	INTEGER(iwp) :: pr !<
514
515	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
516
517	SELECT CASE ( TRIM( data_output_sp(m) ) )
518
519	CASE ( 'u' )
520	pr = 1
521	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
522
523	CASE ( 'v' )
524	pr = 2
525	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
526
527	CASE ( 'w' )
528	pr = 3
529	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
530
531	CASE ( 'pt' )
532	pr = 4
533	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
534
535	CASE ( 'q' )
536	pr = 41
537	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
538
539	CASE ( 's' )
540	pr = 117
541	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
542
543	CASE DEFAULT
544	!
545	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
546	!-- contains a wrong character string or if the user has coded a special
547	!-- case in the user interface. There, the subroutine user_spectra
548	!-- checks which of these two conditions applies.
549	CALL user_spectra( 'preprocess', m, pr )
550
551	END SELECT
552
553	!
554	!-- Subtract horizontal mean from the array, for which spectra have to be
555	!-- calculated
556	var_d_l(:) = 0.0_wp
557	DO i = nxl, nxr
558	DO j = nys, nyn
559	DO k = nzb+1, nzt
560	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
561	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
562	ENDDO
563	ENDDO
564	ENDDO
565	!
566	!-- Compute total variance from local variances
567	var_d(:) = 0.0_wp
568	#if defined( __parallel )
569	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
570	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
571	comm2d, ierr )
572	#else
573	var_d(:) = var_d_l(:)
574	#endif
575	var_d(:) = var_d(:) / ngp_2dh(0)
576
577	END SUBROUTINE preprocess_spectra
578
579
580	!------------------------------------------------------------------------------!
581	! Description:
582	! ------------
583	!> @todo Missing subroutine description.
584	!------------------------------------------------------------------------------!
585	SUBROUTINE calc_spectra_x( ddd, pr, m )
586
587	USE control_parameters, &
588	ONLY: fft_method
589
590	USE fft_xy, &
591	ONLY: fft_x_1d
592
593	USE grid_variables, &
594	ONLY: dx
595
596	USE indices, &
597	ONLY: nx, ny
598
599	USE kinds
600
601	#if defined( __parallel )
602	#if defined( __mpifh )
603	INCLUDE "mpif.h"
604	#else
605	USE MPI
606	#endif
607	#endif
608	USE pegrid, &
609	ONLY: comm2d, ierr, myid
610
611	USE transpose_indices, &
612	ONLY: nyn_x, nys_x, nzb_x, nzt_x
613
614
615	IMPLICIT NONE
616
617	INTEGER(iwp) :: i !<
618	INTEGER(iwp) :: ishape(1) !<
619	INTEGER(iwp) :: j !<
620	INTEGER(iwp) :: k !<
621	INTEGER(iwp) :: m !<
622	INTEGER(iwp) :: n !<
623	INTEGER(iwp) :: pr !<
624
625	REAL(wp) :: exponent !<
626	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
627
628	REAL(wp), DIMENSION(0:nx) :: work !<
629
630	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
631
632	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
633
634	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
635
636	!
637	!-- Exponent for geometric average
638	exponent = 1.0_wp / ( ny + 1.0_wp )
639
640	!
641	!-- Loop over all levels defined by the user
642	n = 1
643	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
644
645	k = comp_spectra_level(n)
646
647	!
648	!-- Calculate FFT only if the corresponding level is situated on this PE
649	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
650
651	DO j = nys_x, nyn_x
652
653	work = ddd(0:nx,j,k)
654	CALL fft_x_1d( work, 'forward' )
655
656	ddd(0,j,k) = dx * work(0)**2
657	DO i = 1, nx/2
658	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
659	ENDDO
660
661	ENDDO
662
663	!
664	!-- Local sum and geometric average of these spectra
665	!-- (WARNING: no global sum should be performed, because floating
666	!-- point overflow may occur)
667	DO i = 0, nx/2
668
669	sums_spectra_l(i) = 1.0_wp
670	DO j = nys_x, nyn_x
671	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
672	ENDDO
673
674	ENDDO
675
676	ELSE
677
678	sums_spectra_l = 1.0_wp
679
680	ENDIF
681
682	!
683	!-- Global sum of spectra on PE0 (from where they are written on file)
684	sums_spectra(:,n) = 0.0_wp
685	#if defined( __parallel )
686	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
687	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
688	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
689	#else
690	sums_spectra(:,n) = sums_spectra_l
691	#endif
692	!
693	!-- Normalize spectra by variance
694	sum_spec_dum = SUM( sums_spectra(:,n) )
695	IF ( sum_spec_dum /= 0.0_wp ) THEN
696	sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / sum_spec_dum
697	ENDIF
698	n = n + 1
699
700	ENDDO
701	n = n - 1
702
703	IF ( myid == 0 ) THEN
704	!
705	!-- Sum of spectra for later averaging (see routine data_output_spectra)
706	DO i = 1, nx/2
707	DO k = 1, n
708	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
709	ENDDO
710	ENDDO
711
712	ENDIF
713	!
714	!-- n_sp_x is needed by data_output_spectra_x
715	n_sp_x = n
716
717	END SUBROUTINE calc_spectra_x
718
719
720	!------------------------------------------------------------------------------!
721	! Description:
722	! ------------
723	!> @todo Missing subroutine description.
724	!------------------------------------------------------------------------------!
725	SUBROUTINE calc_spectra_y( ddd, pr, m )
726
727	USE control_parameters, &
728	ONLY: fft_method
729
730	USE fft_xy, &
731	ONLY: fft_y_1d
732
733	USE grid_variables, &
734	ONLY: dy
735
736	USE indices, &
737	ONLY: nx, ny
738
739	USE kinds
740
741	#if defined( __parallel )
742	#if defined( __mpifh )
743	INCLUDE "mpif.h"
744	#else
745	USE MPI
746	#endif
747	#endif
748	USE pegrid, &
749	ONLY: comm2d, ierr, myid
750
751	USE transpose_indices, &
752	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
753
754
755	IMPLICIT NONE
756
757	INTEGER(iwp) :: i !<
758	INTEGER(iwp) :: j !<
759	INTEGER(iwp) :: jshape(1) !<
760	INTEGER(iwp) :: k !<
761	INTEGER(iwp) :: m !<
762	INTEGER(iwp) :: n !<
763	INTEGER(iwp) :: pr !<
764
765	REAL(wp) :: exponent !<
766	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
767
768	REAL(wp), DIMENSION(0:ny) :: work !<
769
770	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
771
772	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
773
774	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
775
776
777	!
778	!-- Exponent for geometric average
779	exponent = 1.0_wp / ( nx + 1.0_wp )
780
781	!
782	!-- Loop over all levels defined by the user
783	n = 1
784	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
785
786	k = comp_spectra_level(n)
787
788	!
789	!-- Calculate FFT only if the corresponding level is situated on this PE
790	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
791
792	DO i = nxl_yd, nxr_yd
793
794	work = ddd(0:ny,i,k)
795	CALL fft_y_1d( work, 'forward' )
796
797	ddd(0,i,k) = dy * work(0)**2
798	DO j = 1, ny/2
799	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
800	ENDDO
801
802	ENDDO
803
804	!
805	!-- Local sum and geometric average of these spectra
806	!-- (WARNING: no global sum should be performed, because floating
807	!-- point overflow may occur)
808	DO j = 0, ny/2
809
810	sums_spectra_l(j) = 1.0_wp
811	DO i = nxl_yd, nxr_yd
812	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
813	ENDDO
814
815	ENDDO
816
817	ELSE
818
819	sums_spectra_l = 1.0_wp
820
821	ENDIF
822
823	!
824	!-- Global sum of spectra on PE0 (from where they are written on file)
825	sums_spectra(:,n) = 0.0_wp
826	#if defined( __parallel )
827	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
828	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
829	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
830	#else
831	sums_spectra(:,n) = sums_spectra_l
832	#endif
833	!
834	!-- Normalize spectra by variance
835	sum_spec_dum = SUM( sums_spectra(:,n) )
836	IF ( SUM(sums_spectra(:,n)) /= 0.0_wp ) THEN
837	sums_spectra(:,n) = sums_spectra(:,n) * &
838	var_d(k) / SUM(sums_spectra(:,n))
839	ENDIF
840	n = n + 1
841
842	ENDDO
843	n = n - 1
844
845
846	IF ( myid == 0 ) THEN
847	!
848	!-- Sum of spectra for later averaging (see routine data_output_spectra)
849	DO j = 1, ny/2
850	DO k = 1, n
851	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
852	ENDDO
853	ENDDO
854
855	ENDIF
856
857	!
858	!-- n_sp_y is needed by data_output_spectra_y
859	n_sp_y = n
860
861	END SUBROUTINE calc_spectra_y
862
863	END MODULE spectra_mod

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