source: palm/trunk/SOURCE/palm.f90 @ 4039

Last change on this file since 4039 was 4039, checked in by suehring, 5 years ago

diagnostic output: Modularize diagnostic output, rename subroutines; formatting adjustments; allocate arrays only when required; add output of uu, vv, ww to enable variance calculation via temporal EC method; radiation: bugfix in masked data output; flow_statistics: Correct conversion to kinematic vertical scalar fluxes in case of pw-scheme and statistic regions

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1! !> @file palm.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: palm.f90 4039 2019-06-18 10:32:41Z suehring $
27! Rename subroutines in module for diagnostic quantities
28!
29! 4017 2019-06-06 12:16:46Z schwenkel
30! new module for calculation and output of diagnostic quantities added
31!
32! 3885 2019-04-11 11:29:34Z kanani
33! Changes related to global restructuring of location messages and introduction
34! of additional debug messages
35!
36! 3761 2019-02-25 15:31:42Z raasch
37! unused variable removed
38!
39! 3719 2019-02-06 13:10:18Z kanani
40! Included cpu measurement for wall/soil spinup
41!
42! 3703 2019-01-29 16:43:53Z knoop
43! Some interface calls moved to module_interface + cleanup
44!
45! 3648 2019-01-02 16:35:46Z suehring
46! Rename subroutines for surface-data output
47!
48! 3524 2018-11-14 13:36:44Z raasch
49! unused variable removed
50!
51! 3494 2018-11-06 14:51:27Z suehring
52! Last actions for surface output added
53!
54! 3487 2018-11-05 07:18:02Z maronga
55! Updates version to 6.0
56!
57! 3484 2018-11-02 14:41:25Z hellstea
58! pmci_ensure_nest_mass_conservation removed permanently
59!
60! 3458 2018-10-30 14:51:23Z kanani
61! from chemistry branch r3443, forkel:
62! removed double do_emis check around CALL chem_init
63! replaced call to calc_date_and_time to init_date_and_time
64!
65! 3337 2018-10-12 15:17:09Z kanani
66! (from branch resler)
67! Fix chemistry call
68!
69! 3298 2018-10-02 12:21:11Z kanani
70! - Minor formatting (kanani)
71! - Added Call of date_and_time_init (Russo)
72! - Added Call of calc_date_and_time before call of init_3d where emissions
73!   are initialized:
74!   we have to know the time indices to initialize emission values (Russo)
75! - Added Call of netcdf_data_input_chemistry_data (Russo)
76!
77! 3274 2018-09-24 15:42:55Z knoop
78! Modularization of all bulk cloud physics code components
79!
80! 3258 2018-09-18 07:23:31Z Giersch
81! current revision for user interface has been changed to 3240
82!
83! 3241 2018-09-12 15:02:00Z raasch
84! unused variables removed
85!
86! 3235 2018-09-07 14:06:15Z sward
87! Added mas_last_actions call and multi_agent_system_mod dependency
88!
89! 3232 2018-09-07 12:21:44Z raasch
90! references to mrun replaced by palmrun, and updated
91!
92! 3182 2018-07-27 13:36:03Z suehring
93! Deduct spinup_time from RUN_CONTROL output of main 3d run
94! (use time_since_reference_point instead of simulated_time)
95!
96! 2951 2018-04-06 09:05:08Z kanani
97! Add log_point_s for pmci_init
98!
99! 2903 2018-03-16 08:17:06Z hellstea
100! Nesting-related calls to pmci_ensure_nest_mass_conservation and pres after
101! the nest initialization are removed as they may create unwanted initial
102! perturbation in some cases.
103!
104! 2894 2018-03-15 09:17:58Z Giersch
105! Modified todo list, _write_restart_data/_last_actions has been renamed to
106! _wrd_local, unit 14 will be opened now for each io_group
107! write_3d_binary is called wrd_local now, wrd_global moved from wrd_local to
108! palm.f90, unit 14 is closed directly after the wrd_local call, Module related
109! routines for writing restart data have been moved to wrd_local
110!
111! 2801 2018-02-14 16:01:55Z suehring
112! Changed lpm from subroutine to module.
113! Introduce particle transfer in nested models.
114!
115! 2766 2018-01-22 17:17:47Z kanani
116! Removed preprocessor directive __chem
117!
118! 2720 2018-01-02 16:27:15Z kanani
119! Version update to 5.0
120!
121! 2718 2018-01-02 08:49:38Z maronga
122! Corrected "Former revisions" section
123!
124! 2696 2017-12-14 17:12:51Z kanani
125! Change in file header (GPL part)
126! Implementation of chemistry module (FK)
127! Introduce input-data standard
128! Rename lsm_last_actions into lsm_write_restart_data
129! Move usm_write_restart_data into io_blocks loop (MS)
130!
131! 2512 2017-10-04 08:26:59Z raasch
132! user interface required revision updated
133!
134! 2320 2017-07-21 12:47:43Z suehring
135! Modularize large-scale forcing and nudging
136!
137! 2298 2017-06-29 09:28:18Z raasch
138! type of write_binary changed from CHARACTER to LOGICAL,
139! user interface required revision updated, MPI2 related part removed
140!
141! 2296 2017-06-28 07:53:56Z maronga
142! Added call to new spinup routine
143!
144! 2292 2017-06-20 09:51:42Z schwenkel
145! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
146! includes two more prognostic equations for cloud drop concentration (nc) 
147! and cloud water content (qc).
148!
149! 2261 2017-06-08 14:25:57Z raasch
150! output of run number for mrun to create unified cycle numbers
151!
152! 2233 2017-05-30 18:08:54Z suehring
153!
154! 2232 2017-05-30 17:47:52Z suehring
155! Renamed wall_flags_0 and wall_flags_00 into advc_flags_1 and advc_flags_2,
156! respectively, within copyin statement. Moreover, introduced further flag
157! array wall_flags_0.
158! Remove unused variables from ONLY list.
159!
160! 2178 2017-03-17 11:07:39Z hellstea
161! Calls for pmci_ensure_nest_mass_conservation and pres are added after
162! the nest initialization
163!
164! 2118 2017-01-17 16:38:49Z raasch
165! OpenACC directives and related code removed
166!
167! 2011 2016-09-19 17:29:57Z kanani
168! Flag urban_surface is now defined in module control_parameters.
169!
170! 2007 2016-08-24 15:47:17Z kanani
171! Temporarily added CALL for writing of restart data for urban surface model
172!
173! 2000 2016-08-20 18:09:15Z knoop
174! Forced header and separation lines into 80 columns
175!
176! 1976 2016-07-27 13:28:04Z maronga
177! Added call to radiation_last_actions for binary output of land surface model
178! data
179!
180! 1972 2016-07-26 07:52:02Z maronga
181! Added call to lsm_last_actions for binary output of land surface model data
182!
183! 1960 2016-07-12 16:34:24Z suehring
184! Separate humidity and passive scalar
185!
186! 1834 2016-04-07 14:34:20Z raasch
187! Initial version of purely vertical nesting introduced.
188!
189! 1833 2016-04-07 14:23:03Z raasch
190! required user interface version changed
191!
192! 1808 2016-04-05 19:44:00Z raasch
193! routine local_flush replaced by FORTRAN statement
194!
195! 1783 2016-03-06 18:36:17Z raasch
196! required user interface version changed
197!
198! 1781 2016-03-03 15:12:23Z raasch
199! pmc initialization moved from time_integration to here
200!
201! 1779 2016-03-03 08:01:28Z raasch
202! setting of nest_domain and coupling_char moved to the pmci
203!
204! 1764 2016-02-28 12:45:19Z raasch
205! cpp-statements for nesting removed, communicator settings cleaned up
206!
207! 1762 2016-02-25 12:31:13Z hellstea
208! Introduction of nested domain feature
209!
210! 1747 2016-02-08 12:25:53Z raasch
211! OpenACC-adjustment for new surface layer parameterization
212!
213! 1682 2015-10-07 23:56:08Z knoop
214! Code annotations made doxygen readable
215!
216! 1668 2015-09-23 13:45:36Z raasch
217! warning replaced by abort in case of failed user interface check
218!
219! 1666 2015-09-23 07:31:10Z raasch
220! check for user's interface version added
221!
222! 1482 2014-10-18 12:34:45Z raasch
223! adjustments for using CUDA-aware OpenMPI
224!
225! 1468 2014-09-24 14:06:57Z maronga
226! Adapted for use on up to 6-digit processor cores
227!
228! 1402 2014-05-09 14:25:13Z raasch
229! location messages added
230!
231! 1374 2014-04-25 12:55:07Z raasch
232! bugfix: various modules added
233!
234! 1320 2014-03-20 08:40:49Z raasch
235! ONLY-attribute added to USE-statements,
236! kind-parameters added to all INTEGER and REAL declaration statements,
237! kinds are defined in new module kinds,
238! old module precision_kind is removed,
239! revision history before 2012 removed,
240! comment fields (!:) to be used for variable explanations added to
241! all variable declaration statements
242!
243! 1318 2014-03-17 13:35:16Z raasch
244! module interfaces removed
245!
246! 1241 2013-10-30 11:36:58Z heinze
247! initialization of nuding and large scale forcing from external file
248!
249! 1221 2013-09-10 08:59:13Z raasch
250! +wall_flags_00, rflags_invers, rflags_s_inner in copyin statement
251!
252! 1212 2013-08-15 08:46:27Z raasch
253! +tri in copyin statement
254!
255! 1179 2013-06-14 05:57:58Z raasch
256! ref_state added to copyin-list
257!
258! 1113 2013-03-10 02:48:14Z raasch
259! openACC statements modified
260!
261! 1111 2013-03-08 23:54:10Z raasch
262! openACC statements updated
263!
264! 1092 2013-02-02 11:24:22Z raasch
265! unused variables removed
266!
267! 1036 2012-10-22 13:43:42Z raasch
268! code put under GPL (PALM 3.9)
269!
270! 1015 2012-09-27 09:23:24Z raasch
271! Version number changed from 3.8 to 3.8a.
272! OpenACC statements added + code changes required for GPU optimization
273!
274! 849 2012-03-15 10:35:09Z raasch
275! write_particles renamed lpm_write_restart_file
276!
277! Revision 1.1  1997/07/24 11:23:35  raasch
278! Initial revision
279!
280!
281! Description:
282! ------------
283!> Large-Eddy Simulation (LES) model for atmospheric and oceanic boundary-layer
284!> flows
285!> see the PALM homepage https://palm-model.org for further information
286!------------------------------------------------------------------------------!
287 PROGRAM palm
288 
289
290    USE arrays_3d
291
292    USE bulk_cloud_model_mod,                                                  &
293        ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
294
295    USE control_parameters,                                                    &
296        ONLY:  constant_diffusion, child_domain,                               &
297               coupling_char, do2d_at_begin, do3d_at_begin, humidity,          &
298               initializing_actions, io_blocks, io_group, message_string,      &
299               neutral, passive_scalar, runnr, simulated_time_chr, spinup,     &
300               time_since_reference_point, user_interface_current_revision,    &
301               user_interface_required_revision, version, write_binary
302
303    USE cpulog,                                                                &
304        ONLY:  cpu_log, log_point, log_point_s, cpu_statistics
305
306    USE date_and_time_mod,                                                     &
307        ONLY:  calc_date_and_time, init_date_and_time
308
309    USE diagnostic_output_quantities_mod,                                      &
310        ONLY:  doq_calculate
311
312    USE indices,                                                               &
313        ONLY:  nbgp
314
315    USE kinds
316
317    USE module_interface,                                                      &
318        ONLY:  module_interface_last_actions
319
320    USE multi_agent_system_mod,                                                &
321        ONLY:  agents_active, mas_last_actions
322
323    USE netcdf_data_input_mod,                                                 &
324        ONLY:  netcdf_data_input_inquire_file, netcdf_data_input_init,         &
325               netcdf_data_input_surface_data, netcdf_data_input_topo
326
327    USE pegrid
328
329    USE pmc_particle_interface,                                                &
330        ONLY: pmcp_g_alloc_win
331
332    USE pmc_interface,                                                         &
333        ONLY:  nested_run, pmci_child_initialize, pmci_init,                   &
334               pmci_modelconfiguration, pmci_parent_initialize
335               
336    USE surface_data_output_mod,                                               &
337        ONLY:  surface_data_output_last_action
338
339    USE write_restart_data_mod,                                                &
340        ONLY:  wrd_global, wrd_local
341
342#if defined( __parallel) && defined( _OPENACC )
343    USE openacc
344#endif
345
346
347    IMPLICIT NONE
348
349!
350!-- Local variables
351    CHARACTER(LEN=9) ::  time_to_string  !<
352    INTEGER(iwp)     ::  i               !< loop counter for blocked I/O
353#if defined( __parallel) && defined( _OPENACC )
354    INTEGER(iwp)     :: local_comm       !< local communicator (shared memory)
355    INTEGER(iwp)     :: local_num_procs  !< local number of processes
356    INTEGER(iwp)     :: local_id         !< local id
357    INTEGER(acc_device_kind) :: device_type !< device type for OpenACC
358    INTEGER(iwp)     ::  num_devices     !< number of devices visible to OpenACC
359    INTEGER(iwp)     ::  my_device       !< device used by this process
360#endif
361
362    version = 'PALM 6.0'
363    user_interface_required_revision = 'r3703'
364
365#if defined( __parallel )
366!
367!-- MPI initialisation. comm2d is preliminary set, because
368!-- it will be defined in init_pegrid but is used before in cpu_log.
369    CALL MPI_INIT( ierr )
370
371!
372!-- Initialize the coupling for nested-domain runs
373!-- comm_palm is the communicator which includes all PEs (MPI processes)
374!-- available for this (nested) model. If it is not a nested run, comm_palm
375!-- is returned as MPI_COMM_WORLD
376    CALL cpu_log( log_point_s(70), 'pmci_init', 'start' )
377    CALL pmci_init( comm_palm )
378    CALL cpu_log( log_point_s(70), 'pmci_init', 'stop' )
379    comm2d = comm_palm
380!
381!-- Get the (preliminary) number of MPI processes and the local PE-id (in case
382!-- of a further communicator splitting in init_coupling, these numbers will
383!-- be changed in init_pegrid).
384    IF ( nested_run )  THEN
385
386       CALL MPI_COMM_SIZE( comm_palm, numprocs, ierr )
387       CALL MPI_COMM_RANK( comm_palm, myid, ierr )
388
389    ELSE
390
391       CALL MPI_COMM_SIZE( MPI_COMM_WORLD, numprocs, ierr )
392       CALL MPI_COMM_RANK( MPI_COMM_WORLD, myid, ierr )
393!
394!--    Initialize PE topology in case of coupled atmosphere-ocean runs (comm_palm
395!--    will be splitted in init_coupling)
396       CALL init_coupling
397    ENDIF
398
399#ifdef _OPENACC
400!
401!-- Select OpenACC device to use in this process. For this find out how many
402!-- neighbors there are running on the same node and which id this process is.
403    IF ( nested_run )  THEN
404       CALL MPI_COMM_SPLIT_TYPE( comm_palm, MPI_COMM_TYPE_SHARED, 0,           &
405                                 MPI_INFO_NULL, local_comm, ierr )
406    ELSE
407       CALL MPI_COMM_SPLIT_TYPE( MPI_COMM_WORLD, MPI_COMM_TYPE_SHARED, 0,      &
408                                 MPI_INFO_NULL, local_comm, ierr )
409    ENDIF
410    CALL MPI_COMM_SIZE( local_comm, local_num_procs, ierr )
411    CALL MPI_COMM_RANK( local_comm, local_id, ierr )
412
413!
414!-- This loop including the barrier is a workaround for PGI compiler versions
415!-- up to and including 18.4. Later releases are able to select their GPUs in
416!-- parallel, without running into spurious errors.
417    DO i = 0, local_num_procs-1
418       CALL MPI_BARRIER( local_comm, ierr )
419
420       IF ( i == local_id )  THEN
421          device_type = acc_get_device_type()
422          num_devices = acc_get_num_devices( device_type )
423          my_device = MOD( local_id, num_devices )
424          CALL acc_set_device_num( my_device, device_type )
425       ENDIF
426    ENDDO
427
428    CALL MPI_COMM_FREE( local_comm, ierr )
429#endif
430#endif
431
432!
433!-- Initialize measuring of the CPU-time remaining to the run
434    CALL local_tremain_ini
435
436!
437!-- Start of total CPU time measuring.
438    CALL cpu_log( log_point(1), 'total', 'start' )
439    CALL cpu_log( log_point(2), 'initialisation', 'start' )
440
441!
442!-- Open a file for debug output
443    WRITE (myid_char,'(''_'',I6.6)')  myid
444    OPEN( 9, FILE='DEBUG'//TRIM( coupling_char )//myid_char, FORM='FORMATTED' )
445
446!
447!-- Initialize dvrp logging. Also, one PE maybe split from the global
448!-- communicator for doing the dvrp output. In that case, the number of
449!-- PEs available for PALM is reduced by one and communicator comm_palm
450!-- is changed respectively.
451#if defined( __parallel )
452    CALL MPI_COMM_RANK( comm_palm, myid, ierr )
453#endif
454
455!
456!-- Read control parameters from NAMELIST files and read environment-variables
457    CALL parin
458
459!
460!-- Check for the user's interface version
461    IF ( user_interface_current_revision /= user_interface_required_revision )  &
462    THEN
463       message_string = 'current user-interface revision "' //                  &
464                        TRIM( user_interface_current_revision ) // '" does ' // &
465                        'not match the required revision ' //                   &
466                        TRIM( user_interface_required_revision )
467        CALL message( 'palm', 'PA0169', 1, 2, 0, 6, 0 )
468    ENDIF
469
470!
471!-- Determine processor topology and local array indices
472    CALL init_pegrid
473!
474!-- Check if input file according to input-data standard exists
475    CALL netcdf_data_input_inquire_file
476!
477!-- Read topography input data if required. This is required before the
478!-- numerical grid is finally created in init_grid
479    CALL netcdf_data_input_topo 
480!
481!-- Generate grid parameters, initialize generic topography and further process
482!-- topography information if required
483    CALL init_grid
484!
485!-- Read global attributes if available. 
486    CALL netcdf_data_input_init 
487!
488!-- Read surface classification data, e.g. vegetation and soil types, water
489!-- surfaces, etc., if available. Some of these data is required before
490!-- check parameters is invoked.     
491    CALL netcdf_data_input_surface_data
492!
493!-- Check control parameters and deduce further quantities
494    CALL check_parameters
495!
496!-- Initial time for chem_emissions_mod
497    CALL init_date_and_time
498
499    CALL init_3d_model
500
501!
502!-- Coupling protocol setup for nested-domain runs
503    IF ( nested_run )  THEN
504       CALL pmci_modelconfiguration
505!
506!--    Receive and interpolate initial data on children.
507!--    Child initialization must be made first if the model is both child and
508!--    parent if necessary
509       IF ( TRIM( initializing_actions ) /= 'read_restart_data' )  THEN
510          CALL pmci_child_initialize
511!
512!--       Send initial condition data from parent to children
513          CALL pmci_parent_initialize
514!
515!--       Exchange_horiz is needed after the nest initialization
516          IF ( child_domain )  THEN
517             CALL exchange_horiz( u, nbgp )
518             CALL exchange_horiz( v, nbgp )
519             CALL exchange_horiz( w, nbgp )
520             IF ( .NOT. neutral )  THEN
521                CALL exchange_horiz( pt, nbgp )
522             ENDIF
523             IF ( .NOT. constant_diffusion )  CALL exchange_horiz( e, nbgp )
524             IF ( humidity )  THEN
525                CALL exchange_horiz( q, nbgp )
526                IF ( bulk_cloud_model  .AND.  microphysics_morrison )  THEN
527                  CALL exchange_horiz( qc, nbgp )
528                  CALL exchange_horiz( nc, nbgp )
529                ENDIF
530                IF ( bulk_cloud_model  .AND.  microphysics_seifert )  THEN
531                   CALL exchange_horiz( qr, nbgp ) 
532                   CALL exchange_horiz( nr, nbgp )
533                ENDIF
534             ENDIF
535             IF ( passive_scalar )  CALL exchange_horiz( s, nbgp )
536          ENDIF
537       ENDIF
538
539       CALL pmcp_g_alloc_win                    ! Must be called after pmci_child_initialize and pmci_parent_initialize
540    ENDIF
541
542!
543!-- Output of program header
544    IF ( myid == 0 )  CALL header
545
546    CALL cpu_log( log_point(2), 'initialisation', 'stop' )
547
548!
549!-- Integration of the non-atmospheric equations (land surface model, urban
550!-- surface model)
551    IF ( spinup )  THEN
552       CALL cpu_log( log_point(41), 'wall/soil spinup', 'start' )
553       CALL time_integration_spinup
554       CALL cpu_log( log_point(41), 'wall/soil spinup', 'stop' )
555    ENDIF
556
557!
558!-- Set start time in format hh:mm:ss
559    simulated_time_chr = time_to_string( time_since_reference_point )
560
561!
562!-- If required, output of initial arrays
563    IF ( do2d_at_begin )  THEN
564       CALL doq_calculate    !TODO, will be called twice
565
566       CALL data_output_2d( 'xy', 0 )
567       CALL data_output_2d( 'xz', 0 )
568       CALL data_output_2d( 'yz', 0 )
569    ENDIF
570
571    IF ( do3d_at_begin )  THEN
572       CALL doq_calculate    !TODO, will be called twice
573
574       CALL data_output_3d( 0 )
575    ENDIF
576
577!
578!-- Integration of the model equations using timestep-scheme
579    CALL time_integration
580
581!
582!-- If required, write binary data for restart runs
583    IF ( write_binary )  THEN
584
585       CALL cpu_log( log_point(22), 'wrd_local', 'start' )
586
587       CALL location_message( 'writing restart data', 'start' )
588
589       DO  i = 0, io_blocks-1
590          IF ( i == io_group )  THEN
591
592!
593!--          Open binary file
594             CALL check_open( 14 )
595!
596!--          Write control parameters and other global variables for restart.
597             IF ( myid == 0 )  CALL wrd_global
598!
599!--          Write processor specific flow field data for restart runs
600             CALL wrd_local
601!
602!--          Close binary file
603             CALL close_file( 14 )
604
605          ENDIF
606#if defined( __parallel )
607          CALL MPI_BARRIER( comm2d, ierr )
608#endif
609       ENDDO
610
611       CALL location_message( 'writing restart data', 'finished' )
612
613       CALL cpu_log( log_point(22), 'wrd_local', 'stop' )
614       
615    ENDIF
616!
617!-- Last actions for surface output, for instantaneous and time-averaged data
618    CALL surface_data_output_last_action( 0 )
619    CALL surface_data_output_last_action( 1 )
620
621!
622!-- If required, repeat output of header including the required CPU-time
623    IF ( myid == 0 )  CALL header
624!
625!-- Perform module specific last actions
626    CALL cpu_log( log_point(4), 'last actions', 'start' )
627
628    IF ( myid == 0 .AND. agents_active ) CALL mas_last_actions ! ToDo: move to module_interface
629
630    CALL module_interface_last_actions
631
632    CALL cpu_log( log_point(4), 'last actions', 'stop' )
633
634!
635!-- Close files
636    CALL close_file( 0 )
637
638!
639!-- Write run number to file (used by palmrun to create unified cycle numbers
640!-- for output files
641    IF ( myid == 0  .AND.  runnr > 0 )  THEN
642       OPEN( 90, FILE='RUN_NUMBER', FORM='FORMATTED' )
643       WRITE( 90, '(I4)' )  runnr
644       CLOSE( 90 )
645    ENDIF
646
647!
648!-- Take final CPU-time for CPU-time analysis
649    CALL cpu_log( log_point(1), 'total', 'stop' )
650    CALL cpu_statistics
651
652#if defined( __parallel )
653    CALL MPI_FINALIZE( ierr )
654#endif
655
656 END PROGRAM palm
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