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source: palm/trunk/SOURCE/spectra_mod.f90 @ 1960

Last change on this file since 1960 was 1960, checked in by suehring, 8 years ago
Separate balance equations for humidity and passive_scalar
Property svn:keywords set to `Id`
File size: 26.5 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	! Additional default spectra for passive scalar
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: spectra_mod.f90 1960 2016-07-12 16:34:24Z suehring $
26	!
27	! 1833 2016-04-07 14:23:03Z raasch
28	! file renamed, reading the spectra_par NAMELIST moved from package_parin to
29	! here
30	!
31	! 1815 2016-04-06 13:49:59Z raasch
32	! bugfix: preprocessor directives included for the non-parallel case
33	!
34	! 1808 2016-04-05 19:44:00Z raasch
35	! MPI module used by default on all machines
36	!
37	! 1786 2016-03-08 05:49:27Z raasch
38	! routine is modularized, filename renamed from calc_spectra to spectrum,
39	! privious data module spectrum moved from modules.f90 to here,
40	! cpp-direktives for spectra removed, immediate return if no spectra levels are
41	! given
42	!
43	! 1682 2015-10-07 23:56:08Z knoop
44	! Code annotations made doxygen readable
45	!
46	! 1575 2015-03-27 09:56:27Z raasch
47	! adjustments for psolver-queries
48	!
49	! 1511 2014-12-16 15:54:16Z suehring
50	! Bugfix concerning spectra normalization
51	!
52	! 1431 2014-07-15 14:47:17Z suehring
53	! Wavenumber-integrated spectra coincide with respective variance.
54	!
55	! 1342 2014-03-26 17:04:47Z kanani
56	! REAL constants defined as wp-kinds
57	!
58	! 1324 2014-03-21 09:13:16Z suehring
59	! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices
60	!
61	! 1320 2014-03-20 08:40:49Z raasch
62	! ONLY-attribute added to USE-statements,
63	! kind-parameters added to all INTEGER and REAL declaration statements,
64	! kinds are defined in new module kinds,
65	! revision history before 2012 removed,
66	! comment fields (!:) to be used for variable explanations added to
67	! all variable declaration statements
68	!
69	! 1318 2014-03-17 13:35:16Z raasch
70	! module interfaces removed
71	!
72	! 1216 2013-08-26 09:31:42Z raasch
73	! resorting of array moved to separate routine resort_for_zx,
74	! one argument removed from the transpose_..d routines
75	!
76	! 1120 2013-04-05 15:11:35Z raasch
77	! bugfix: calls of fft_x\|y replaced by fft_x\|y_1d
78	!
79	! 1036 2012-10-22 13:43:42Z raasch
80	! code put under GPL (PALM 3.9)
81	!
82	! 1003 2012-09-14 14:35:53Z raasch
83	! adjustment of array tend for cases with unequal subdomain sizes removed
84	!
85	! Revision 1.1 2001/01/05 15:08:07 raasch
86	! Initial revision
87	!
88	!
89	! Description:
90	! ------------
91	!> Calculate horizontal spectra along x and y.
92	!> ATTENTION: 1d-decomposition along y still needs improvement, because in that
93	!> case the gridpoint number along z still depends on the PE number
94	!> because transpose_xz has to be used (and possibly also
95	!> transpose_zyd needs modification).
96	!------------------------------------------------------------------------------!
97	MODULE spectra_mod
98
99	USE kinds
100
101	PRIVATE
102
103	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
104	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
105
106	INTEGER(iwp) :: average_count_sp = 0
107	INTEGER(iwp) :: dosp_time_count = 0
108	INTEGER(iwp) :: n_sp_x = 0, n_sp_y = 0
109
110	INTEGER(iwp) :: comp_spectra_level(100) = 999999
111
112	LOGICAL :: calculate_spectra = .FALSE. !< internal switch that spectra are calculated
113	LOGICAL :: spectra_initialized = .FALSE. !< internal switch that spectra related quantities are initialized
114
115	REAL(wp) :: averaging_interval_sp = 9999999.9_wp !< averaging interval for spectra output
116	REAL(wp) :: dt_dosp = 9999999.9_wp !< time interval for spectra output
117	REAL(wp) :: skip_time_dosp = 9999999.9_wp !< no output of spectra data before this interval has passed
118
119	REAL(wp), DIMENSION(:), ALLOCATABLE :: var_d
120
121	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: spectrum_x, spectrum_y
122
123	SAVE
124
125	INTERFACE calc_spectra
126	MODULE PROCEDURE calc_spectra
127	END INTERFACE calc_spectra
128
129	INTERFACE preprocess_spectra
130	MODULE PROCEDURE preprocess_spectra
131	END INTERFACE preprocess_spectra
132
133	INTERFACE calc_spectra_x
134	MODULE PROCEDURE calc_spectra_x
135	END INTERFACE calc_spectra_x
136
137	INTERFACE calc_spectra_y
138	MODULE PROCEDURE calc_spectra_y
139	END INTERFACE calc_spectra_y
140
141	INTERFACE spectra_check_parameters
142	MODULE PROCEDURE spectra_check_parameters
143	END INTERFACE spectra_check_parameters
144
145	INTERFACE spectra_header
146	MODULE PROCEDURE spectra_header
147	END INTERFACE spectra_header
148
149	INTERFACE spectra_init
150	MODULE PROCEDURE spectra_init
151	END INTERFACE spectra_init
152
153	INTERFACE spectra_parin
154	MODULE PROCEDURE spectra_parin
155	END INTERFACE spectra_parin
156
157	PUBLIC average_count_sp, averaging_interval_sp, calc_spectra, &
158	calculate_spectra, comp_spectra_level, data_output_sp, &
159	dosp_time_count, dt_dosp, n_sp_x, n_sp_y, plot_spectra_level, &
160	skip_time_dosp, spectra_check_parameters, spectra_direction, &
161	spectra_header, spectra_init, spectra_parin, spectrum_x, &
162	spectrum_y, var_d
163
164
165	CONTAINS
166
167	!------------------------------------------------------------------------------!
168	! Description:
169	! ------------
170	!> Parin for &spectra_par for calculating spectra
171	!------------------------------------------------------------------------------!
172	SUBROUTINE spectra_parin
173
174	USE control_parameters, &
175	ONLY: dt_data_output
176
177	IMPLICIT NONE
178
179	CHARACTER (LEN=80) :: line !< dummy string that contains the current &
180	!< line of the parameter file
181
182	NAMELIST /spectra_par/ averaging_interval_sp, comp_spectra_level, &
183	data_output_sp, dt_dosp, skip_time_dosp, &
184	spectra_direction
185
186
187	!
188	!-- Position the namelist-file at the beginning (it was already opened in
189	!-- parin), search for the namelist-group of the package and position the
190	!-- file at this line.
191	line = ' '
192
193	!
194	!-- Try to find the spectra package
195	REWIND ( 11 )
196	line = ' '
197	DO WHILE ( INDEX( line, '&spectra_par' ) == 0 )
198	READ ( 11, '(A)', END=10 ) line
199	ENDDO
200	BACKSPACE ( 11 )
201
202	!
203	!-- Read namelist
204	READ ( 11, spectra_par )
205
206	!
207	!-- Default setting of dt_dosp here (instead of check_parameters), because
208	!-- its current value is needed in init_pegrid
209	IF ( dt_dosp == 9999999.9_wp ) dt_dosp = dt_data_output
210
211	!
212	!-- Set general switch that spectra shall be calculated
213	calculate_spectra = .TRUE.
214
215	10 CONTINUE
216
217	END SUBROUTINE spectra_parin
218
219
220
221	!------------------------------------------------------------------------------!
222	! Description:
223	! ------------
224	!> Initialization of spectra related variables
225	!------------------------------------------------------------------------------!
226	SUBROUTINE spectra_init
227
228	USE indices, &
229	ONLY: nx, ny, nzb, nzt
230
231	IMPLICIT NONE
232
233	IF ( spectra_initialized ) RETURN
234
235	IF ( dt_dosp /= 9999999.9_wp ) THEN
236	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
237	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
238	spectrum_x = 0.0_wp
239	spectrum_y = 0.0_wp
240
241	ALLOCATE( var_d(nzb:nzt+1) )
242	var_d = 0.0_wp
243	ENDIF
244
245	spectra_initialized = .TRUE.
246
247	END SUBROUTINE spectra_init
248
249
250
251	!------------------------------------------------------------------------------!
252	! Description:
253	! ------------
254	!> Check spectra related quantities
255	!------------------------------------------------------------------------------!
256	SUBROUTINE spectra_check_parameters
257
258	USE control_parameters, &
259	ONLY: averaging_interval, message_string, skip_time_data_output
260
261	IMPLICIT NONE
262
263	!
264	!-- Check the average interval
265	IF ( averaging_interval_sp == 9999999.9_wp ) THEN
266	averaging_interval_sp = averaging_interval
267	ENDIF
268
269	IF ( averaging_interval_sp > dt_dosp ) THEN
270	WRITE( message_string, * ) 'averaging_interval_sp = ', &
271	averaging_interval_sp, ' must be <= dt_dosp = ', dt_dosp
272	CALL message( 'spectra_check_parameters', 'PA0087', 1, 2, 0, 6, 0 )
273	ENDIF
274
275	!
276	!-- Set the default skip time interval for data output, if necessary
277	IF ( skip_time_dosp == 9999999.9_wp ) &
278	skip_time_dosp = skip_time_data_output
279
280	END SUBROUTINE spectra_check_parameters
281
282
283
284	!------------------------------------------------------------------------------!
285	! Description:
286	! ------------
287	!> Header output for spectra
288	!>
289	!> @todo Output of netcdf data format and compression level
290	!------------------------------------------------------------------------------!
291	SUBROUTINE spectra_header ( io )
292
293	USE control_parameters, &
294	ONLY: dt_averaging_input_pr
295
296	! USE netcdf_interface, &
297	! ONLY: netcdf_data_format_string, netcdf_deflate
298
299	IMPLICIT NONE
300
301	CHARACTER (LEN=40) :: output_format !< internal string
302
303	INTEGER(iwp) :: i !< internal counter
304	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
305
306	!
307	!-- Spectra output
308	IF ( dt_dosp /= 9999999.9_wp ) THEN
309	WRITE ( io, 1 )
310
311	! output_format = netcdf_data_format_string
312	! IF ( netcdf_deflate == 0 ) THEN
313	! WRITE ( io, 2 ) output_format
314	! ELSE
315	! WRITE ( io, 3 ) TRIM( output_format ), netcdf_deflate
316	! ENDIF
317	WRITE ( io, 2 ) 'see profiles or other quantities'
318	WRITE ( io, 4 ) dt_dosp
319	IF ( skip_time_dosp /= 0.0_wp ) WRITE ( io, 5 ) skip_time_dosp
320	WRITE ( io, 6 ) ( data_output_sp(i), i = 1,10 ), &
321	( spectra_direction(i), i = 1,10 ), &
322	( comp_spectra_level(i), i = 1,100 ), &
323	averaging_interval_sp, dt_averaging_input_pr
324	ENDIF
325
326	1 FORMAT (' Spectra:')
327	2 FORMAT (' Output format: ',A/)
328	3 FORMAT (' Output format: ',A, ' compressed with level: ',I1/)
329	4 FORMAT (' Output every ',F7.1,' s'/)
330	5 FORMAT (' No output during initial ',F8.2,' s')
331	6 FORMAT (' Arrays: ', 10(A5,',')/ &
332	' Directions: ', 10(A5,',')/ &
333	' height levels k = ', 20(I3,',')/ &
334	' ', 20(I3,',')/ &
335	' ', 20(I3,',')/ &
336	' ', 20(I3,',')/ &
337	' ', 19(I3,','),I3,'.'/ &
338	' Time averaged over ', F7.1, ' s,' / &
339	' Profiles for the time averaging are taken every ', &
340	F6.1,' s')
341
342	END SUBROUTINE spectra_header
343
344
345
346	SUBROUTINE calc_spectra
347
348	USE arrays_3d, &
349	ONLY: d, tend
350
351	USE control_parameters, &
352	ONLY: bc_lr_cyc, bc_ns_cyc, message_string, psolver
353
354	USE cpulog, &
355	ONLY: cpu_log, log_point
356
357	USE fft_xy, &
358	ONLY: fft_init
359
360	USE indices, &
361	ONLY: nxl, nxr, nyn, nys, nzb, nzt
362
363	USE kinds
364
365	USE pegrid, &
366	ONLY: myid, pdims
367
368	IMPLICIT NONE
369
370	INTEGER(iwp) :: m !<
371	INTEGER(iwp) :: pr !<
372
373
374	!
375	!-- Check if user gave any levels for spectra to be calculated
376	IF ( comp_spectra_level(1) == 999999 ) RETURN
377
378	CALL cpu_log( log_point(30), 'calc_spectra', 'start' )
379
380	!
381	!-- Initialize spectra related quantities
382	CALL spectra_init
383
384	!
385	!-- Initialize ffts
386	CALL fft_init
387
388	!
389	!-- Reallocate array d in required size
390	IF ( psolver(1:9) == 'multigrid' ) THEN
391	DEALLOCATE( d )
392	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) )
393	ENDIF
394
395	m = 1
396	DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 )
397	!
398	!-- Transposition from z --> x ( y --> x in case of a 1d-decomposition
399	!-- along x)
400	IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN
401
402	!
403	!-- Calculation of spectra works for cyclic boundary conditions only
404	IF ( .NOT. bc_lr_cyc ) THEN
405
406	message_string = 'non-cyclic lateral boundaries along x do'// &
407	' not & allow calculation of spectra along x'
408	CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 )
409	ENDIF
410
411	CALL preprocess_spectra( m, pr )
412
413	#if defined( __parallel )
414	IF ( pdims(2) /= 1 ) THEN
415	CALL resort_for_zx( d, tend )
416	CALL transpose_zx( tend, d )
417	ELSE
418	CALL transpose_yxd( d, d )
419	ENDIF
420	CALL calc_spectra_x( d, pr, m )
421	#else
422	message_string = 'sorry, calculation of spectra in non paral' // &
423	'lel mode& is still not realized'
424	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
425	#endif
426
427	ENDIF
428
429	!
430	!-- Transposition from z --> y (d is rearranged only in case of a
431	!-- 1d-decomposition along x)
432	IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN
433
434	!
435	!-- Calculation of spectra works for cyclic boundary conditions only
436	IF ( .NOT. bc_ns_cyc ) THEN
437	IF ( myid == 0 ) THEN
438	message_string = 'non-cyclic lateral boundaries along y' // &
439	' do not & allow calculation of spectr' // &
440	'a along y'
441	CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 )
442	ENDIF
443	CALL local_stop
444	ENDIF
445
446	CALL preprocess_spectra( m, pr )
447
448	#if defined( __parallel )
449	CALL transpose_zyd( d, d )
450	CALL calc_spectra_y( d, pr, m )
451	#else
452	message_string = 'sorry, calculation of spectra in non paral' // &
453	'lel mode& is still not realized'
454	CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 )
455	#endif
456
457	ENDIF
458
459	!
460	!-- Increase counter for next spectrum
461	m = m + 1
462
463	ENDDO
464
465	!
466	!-- Increase counter for averaging process in routine plot_spectra
467	average_count_sp = average_count_sp + 1
468
469	CALL cpu_log( log_point(30), 'calc_spectra', 'stop' )
470
471	END SUBROUTINE calc_spectra
472
473
474	!------------------------------------------------------------------------------!
475	! Description:
476	! ------------
477	!> @todo Missing subroutine description.
478	!------------------------------------------------------------------------------!
479	SUBROUTINE preprocess_spectra( m, pr )
480
481	USE arrays_3d, &
482	ONLY: d, pt, q, s, u, v, w
483
484	USE indices, &
485	ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt
486
487	USE kinds
488
489	#if defined( __parallel )
490	#if defined( __mpifh )
491	INCLUDE "mpif.h"
492	#else
493	USE MPI
494	#endif
495	#endif
496	USE pegrid, &
497	ONLY: collective_wait, comm2d, ierr
498
499	USE statistics, &
500	ONLY: hom
501
502
503	IMPLICIT NONE
504
505	INTEGER(iwp) :: i !<
506	INTEGER(iwp) :: j !<
507	INTEGER(iwp) :: k !<
508	INTEGER(iwp) :: m !<
509	INTEGER(iwp) :: pr !<
510
511	REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l
512
513	SELECT CASE ( TRIM( data_output_sp(m) ) )
514
515	CASE ( 'u' )
516	pr = 1
517	d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr)
518
519	CASE ( 'v' )
520	pr = 2
521	d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr)
522
523	CASE ( 'w' )
524	pr = 3
525	d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr)
526
527	CASE ( 'pt' )
528	pr = 4
529	d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr)
530
531	CASE ( 'q' )
532	pr = 41
533	d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr)
534
535	CASE ( 's' )
536	pr = 117
537	d(nzb+1:nzt,nys:nyn,nxl:nxr) = s(nzb+1:nzt,nys:nyn,nxl:nxr)
538
539	CASE DEFAULT
540	!
541	!-- The DEFAULT case is reached either if the parameter data_output_sp(m)
542	!-- contains a wrong character string or if the user has coded a special
543	!-- case in the user interface. There, the subroutine user_spectra
544	!-- checks which of these two conditions applies.
545	CALL user_spectra( 'preprocess', m, pr )
546
547	END SELECT
548
549	!
550	!-- Subtract horizontal mean from the array, for which spectra have to be
551	!-- calculated
552	var_d_l(:) = 0.0_wp
553	DO i = nxl, nxr
554	DO j = nys, nyn
555	DO k = nzb+1, nzt
556	d(k,j,i) = d(k,j,i) - hom(k,1,pr,0)
557	var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i)
558	ENDDO
559	ENDDO
560	ENDDO
561	!
562	!-- Compute total variance from local variances
563	var_d(:) = 0.0_wp
564	#if defined( __parallel )
565	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
566	CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, MPI_SUM, &
567	comm2d, ierr )
568	#else
569	var_d(:) = var_d_l(:)
570	#endif
571	var_d(:) = var_d(:) / ngp_2dh(0)
572
573	END SUBROUTINE preprocess_spectra
574
575
576	!------------------------------------------------------------------------------!
577	! Description:
578	! ------------
579	!> @todo Missing subroutine description.
580	!------------------------------------------------------------------------------!
581	SUBROUTINE calc_spectra_x( ddd, pr, m )
582
583	USE control_parameters, &
584	ONLY: fft_method
585
586	USE fft_xy, &
587	ONLY: fft_x_1d
588
589	USE grid_variables, &
590	ONLY: dx
591
592	USE indices, &
593	ONLY: nx, ny
594
595	USE kinds
596
597	#if defined( __parallel )
598	#if defined( __mpifh )
599	INCLUDE "mpif.h"
600	#else
601	USE MPI
602	#endif
603	#endif
604	USE pegrid, &
605	ONLY: comm2d, ierr, myid
606
607	USE transpose_indices, &
608	ONLY: nyn_x, nys_x, nzb_x, nzt_x
609
610
611	IMPLICIT NONE
612
613	INTEGER(iwp) :: i !<
614	INTEGER(iwp) :: ishape(1) !<
615	INTEGER(iwp) :: j !<
616	INTEGER(iwp) :: k !<
617	INTEGER(iwp) :: m !<
618	INTEGER(iwp) :: n !<
619	INTEGER(iwp) :: pr !<
620
621	REAL(wp) :: exponent !<
622	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
623
624	REAL(wp), DIMENSION(0:nx) :: work !<
625
626	REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !<
627
628	REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !<
629
630	REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !<
631
632	!
633	!-- Exponent for geometric average
634	exponent = 1.0_wp / ( ny + 1.0_wp )
635
636	!
637	!-- Loop over all levels defined by the user
638	n = 1
639	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
640
641	k = comp_spectra_level(n)
642
643	!
644	!-- Calculate FFT only if the corresponding level is situated on this PE
645	IF ( k >= nzb_x .AND. k <= nzt_x ) THEN
646
647	DO j = nys_x, nyn_x
648
649	work = ddd(0:nx,j,k)
650	CALL fft_x_1d( work, 'forward' )
651
652	ddd(0,j,k) = dx * work(0)**2
653	DO i = 1, nx/2
654	ddd(i,j,k) = dx * ( work(i)2 + work(nx+1-i)2 )
655	ENDDO
656
657	ENDDO
658
659	!
660	!-- Local sum and geometric average of these spectra
661	!-- (WARNING: no global sum should be performed, because floating
662	!-- point overflow may occur)
663	DO i = 0, nx/2
664
665	sums_spectra_l(i) = 1.0_wp
666	DO j = nys_x, nyn_x
667	sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent
668	ENDDO
669
670	ENDDO
671
672	ELSE
673
674	sums_spectra_l = 1.0_wp
675
676	ENDIF
677
678	!
679	!-- Global sum of spectra on PE0 (from where they are written on file)
680	sums_spectra(:,n) = 0.0_wp
681	#if defined( __parallel )
682	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
683	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, &
684	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
685	#else
686	sums_spectra(:,n) = sums_spectra_l
687	#endif
688	!
689	!-- Normalize spectra by variance
690	sum_spec_dum = SUM( sums_spectra(:,n) )
691	IF ( sum_spec_dum /= 0.0_wp ) THEN
692	sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / sum_spec_dum
693	ENDIF
694	n = n + 1
695
696	ENDDO
697	n = n - 1
698
699	IF ( myid == 0 ) THEN
700	!
701	!-- Sum of spectra for later averaging (see routine data_output_spectra)
702	DO i = 1, nx/2
703	DO k = 1, n
704	spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k)
705	ENDDO
706	ENDDO
707
708	ENDIF
709	!
710	!-- n_sp_x is needed by data_output_spectra_x
711	n_sp_x = n
712
713	END SUBROUTINE calc_spectra_x
714
715
716	!------------------------------------------------------------------------------!
717	! Description:
718	! ------------
719	!> @todo Missing subroutine description.
720	!------------------------------------------------------------------------------!
721	SUBROUTINE calc_spectra_y( ddd, pr, m )
722
723	USE control_parameters, &
724	ONLY: fft_method
725
726	USE fft_xy, &
727	ONLY: fft_y_1d
728
729	USE grid_variables, &
730	ONLY: dy
731
732	USE indices, &
733	ONLY: nx, ny
734
735	USE kinds
736
737	#if defined( __parallel )
738	#if defined( __mpifh )
739	INCLUDE "mpif.h"
740	#else
741	USE MPI
742	#endif
743	#endif
744	USE pegrid, &
745	ONLY: comm2d, ierr, myid
746
747	USE transpose_indices, &
748	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
749
750
751	IMPLICIT NONE
752
753	INTEGER(iwp) :: i !<
754	INTEGER(iwp) :: j !<
755	INTEGER(iwp) :: jshape(1) !<
756	INTEGER(iwp) :: k !<
757	INTEGER(iwp) :: m !<
758	INTEGER(iwp) :: n !<
759	INTEGER(iwp) :: pr !<
760
761	REAL(wp) :: exponent !<
762	REAL(wp) :: sum_spec_dum !< wavenumber-integrated spectrum
763
764	REAL(wp), DIMENSION(0:ny) :: work !<
765
766	REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !<
767
768	REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !<
769
770	REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !<
771
772
773	!
774	!-- Exponent for geometric average
775	exponent = 1.0_wp / ( nx + 1.0_wp )
776
777	!
778	!-- Loop over all levels defined by the user
779	n = 1
780	DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 )
781
782	k = comp_spectra_level(n)
783
784	!
785	!-- Calculate FFT only if the corresponding level is situated on this PE
786	IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN
787
788	DO i = nxl_yd, nxr_yd
789
790	work = ddd(0:ny,i,k)
791	CALL fft_y_1d( work, 'forward' )
792
793	ddd(0,i,k) = dy * work(0)**2
794	DO j = 1, ny/2
795	ddd(j,i,k) = dy * ( work(j)2 + work(ny+1-j)2 )
796	ENDDO
797
798	ENDDO
799
800	!
801	!-- Local sum and geometric average of these spectra
802	!-- (WARNING: no global sum should be performed, because floating
803	!-- point overflow may occur)
804	DO j = 0, ny/2
805
806	sums_spectra_l(j) = 1.0_wp
807	DO i = nxl_yd, nxr_yd
808	sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent
809	ENDDO
810
811	ENDDO
812
813	ELSE
814
815	sums_spectra_l = 1.0_wp
816
817	ENDIF
818
819	!
820	!-- Global sum of spectra on PE0 (from where they are written on file)
821	sums_spectra(:,n) = 0.0_wp
822	#if defined( __parallel )
823	CALL MPI_BARRIER( comm2d, ierr ) ! Necessary?
824	CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, &
825	MPI_REAL, MPI_PROD, 0, comm2d, ierr )
826	#else
827	sums_spectra(:,n) = sums_spectra_l
828	#endif
829	!
830	!-- Normalize spectra by variance
831	sum_spec_dum = SUM( sums_spectra(:,n) )
832	IF ( SUM(sums_spectra(:,n)) /= 0.0_wp ) THEN
833	sums_spectra(:,n) = sums_spectra(:,n) * &
834	var_d(k) / SUM(sums_spectra(:,n))
835	ENDIF
836	n = n + 1
837
838	ENDDO
839	n = n - 1
840
841
842	IF ( myid == 0 ) THEN
843	!
844	!-- Sum of spectra for later averaging (see routine data_output_spectra)
845	DO j = 1, ny/2
846	DO k = 1, n
847	spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k)
848	ENDDO
849	ENDDO
850
851	ENDIF
852
853	!
854	!-- n_sp_y is needed by data_output_spectra_y
855	n_sp_y = n
856
857	END SUBROUTINE calc_spectra_y
858
859	END MODULE spectra_mod

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