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1 SUBROUTINE time_integration
2
3!--------------------------------------------------------------------------------!
4! This file is part of PALM.
5!
6! PALM is free software: you can redistribute it and/or modify it under the terms
7! of the GNU General Public License as published by the Free Software Foundation,
8! either version 3 of the License, or (at your option) any later 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 1997-2012  Leibniz University Hannover
18!--------------------------------------------------------------------------------!
19!
20! Current revisions:
21! ------------------
22!
23!
24! Former revisions:
25! -----------------
26! $Id: time_integration.f90 1114 2013-03-10 03:25:57Z raasch $
27!
28! 1113 2013-03-10 02:48:14Z raasch
29! GPU-porting of boundary conditions,
30! openACC directives updated
31! formal parameter removed from routine boundary_conds
32!
33! 1111 2013-03-08 23:54:10Z raasch
34! +internal timestep counter for cpu statistics added,
35! openACC directives updated
36!
37! 1092 2013-02-02 11:24:22Z raasch
38! unused variables removed
39!
40! 1065 2012-11-22 17:42:36Z hoffmann
41! exchange of diss (dissipation rate) in case of turbulence = .TRUE. added
42!
43! 1053 2012-11-13 17:11:03Z hoffmann
44! exchange of ghost points for nr, qr added
45!
46! 1036 2012-10-22 13:43:42Z raasch
47! code put under GPL (PALM 3.9)
48!
49! 1019 2012-09-28 06:46:45Z raasch
50! non-optimized version of prognostic_equations removed
51!
52! 1015 2012-09-27 09:23:24Z raasch
53! +call of prognostic_equations_acc
54!
55! 1001 2012-09-13 14:08:46Z raasch
56! all actions concerning leapfrog- and upstream-spline-scheme removed
57!
58! 849 2012-03-15 10:35:09Z raasch
59! advec_particles renamed lpm, first_call_advec_particles renamed first_call_lpm
60!
61! 825 2012-02-19 03:03:44Z raasch
62! wang_collision_kernel renamed wang_kernel
63!
64! 790 2011-11-29 03:11:20Z raasch
65! exchange of ghostpoints for array diss
66!
67! 707 2011-03-29 11:39:40Z raasch
68! bc_lr/ns replaced by bc_lr/ns_cyc, calls of exchange_horiz are modified,
69! adaption to sloping surface
70!
71! 667  2010-12-23 12:06:00Z suehring/gryschka
72! Calls of exchange_horiz are modified.
73! Adaption to slooping surface.
74!
75! 449 2010-02-02 11:23:59Z raasch
76! Bugfix: exchange of ghost points for prho included
77!
78! 410 2009-12-04 17:05:40Z letzel
79! masked data output
80!
81! 388 2009-09-23 09:40:33Z raasch
82! Using prho instead of rho in diffusvities.
83! Coupling with independent precursor runs.
84! Bugfix: output of particle time series only if particle advection is switched
85!         on
86!
87! 151 2008-03-07 13:42:18Z raasch
88! inflow turbulence is imposed by calling new routine inflow_turbulence
89!
90! 108 2007-08-24 15:10:38Z letzel
91! Call of new routine surface_coupler,
92! presure solver is called after the first Runge-Kutta substep instead of the
93! last in case that call_psolver_at_all_substeps = .F.; for this case, the
94! random perturbation has to be added to the velocity fields also after the
95! first substep
96!
97! 97 2007-06-21 08:23:15Z raasch
98! diffusivities is called with argument rho in case of ocean runs,
99! new argument pt_/prho_reference in calls of diffusivities,
100! ghostpoint exchange for salinity and density
101!
102! 87 2007-05-22 15:46:47Z raasch
103! var_hom renamed pr_palm
104!
105! 75 2007-03-22 09:54:05Z raasch
106! Move call of user_actions( 'after_integration' ) below increment of times
107! and counters,
108! calls of prognostic_equations_.. changed to .._noopt, .._cache, and
109! .._vector, these calls are now controlled by switch loop_optimization,
110! uxrp, vynp eliminated, 2nd+3rd argument removed from exchange horiz,
111! moisture renamed humidity
112!
113! RCS Log replace by Id keyword, revision history cleaned up
114!
115! Revision 1.8  2006/08/22 14:16:05  raasch
116! Disturbances are imposed only for the last Runge-Kutta-substep
117!
118! Revision 1.2  2004/04/30 13:03:40  raasch
119! decalpha-specific warning removed, routine name changed to time_integration,
120! particle advection is carried out only once during the intermediate steps,
121! impulse_advec renamed momentum_advec
122!
123! Revision 1.1  1997/08/11 06:19:04  raasch
124! Initial revision
125!
126!
127! Description:
128! ------------
129! Integration in time of the model equations, statistical analysis and graphic
130! output
131!------------------------------------------------------------------------------!
132
133    USE arrays_3d
134    USE averaging
135    USE control_parameters
136    USE cpulog
137#if defined( __dvrp_graphics )
138    USE DVRP
139#endif
140    USE grid_variables
141    USE indices
142    USE interaction_droplets_ptq_mod
143    USE interfaces
144    USE particle_attributes
145    USE pegrid
146    USE prognostic_equations_mod
147    USE statistics
148    USE user_actions_mod
149
150    IMPLICIT NONE
151
152    CHARACTER (LEN=9) ::  time_to_string
153
154!
155!-- At the beginning of a simulation determine the time step as well as
156!-- determine and print out the run control parameters
157    IF ( simulated_time == 0.0 )  CALL timestep
158
159    CALL run_control
160
161
162!
163!-- Data exchange between coupled models in case that a call has been omitted
164!-- at the end of the previous run of a job chain.
165    IF ( coupling_mode /= 'uncoupled'  .AND.  run_coupled )  THEN
166!
167!--    In case of model termination initiated by the local model the coupler
168!--    must not be called because this would again cause an MPI hang.
169       DO WHILE ( time_coupling >= dt_coupling .AND. terminate_coupled == 0 )
170          CALL surface_coupler
171          time_coupling = time_coupling - dt_coupling
172       ENDDO
173       IF (time_coupling == 0.0 .AND. time_since_reference_point < dt_coupling)&
174       THEN
175          time_coupling = time_since_reference_point
176       ENDIF
177    ENDIF
178
179
180#if defined( __dvrp_graphics )
181!
182!-- Time measurement with dvrp software 
183    CALL DVRP_LOG_EVENT( 2, current_timestep_number )
184#endif
185
186!
187!-- Start of the time loop
188    DO  WHILE ( simulated_time < end_time  .AND.  .NOT. stop_dt  .AND. &
189                .NOT. terminate_run )
190
191       CALL cpu_log( log_point_s(10), 'timesteps', 'start' )
192!
193!--    Determine size of next time step
194       IF ( simulated_time /= 0.0 )  CALL timestep
195!
196!--    Execute the user-defined actions
197       CALL user_actions( 'before_timestep' )
198
199!
200!--    Start of intermediate step loop
201       intermediate_timestep_count = 0
202       DO  WHILE ( intermediate_timestep_count < &
203                   intermediate_timestep_count_max )
204
205          intermediate_timestep_count = intermediate_timestep_count + 1
206
207!
208!--       Set the steering factors for the prognostic equations which depend
209!--       on the timestep scheme
210          CALL timestep_scheme_steering
211
212!
213!--       Solve the prognostic equations. A fast cache optimized version with
214!--       only one single loop is used in case of Piascek-Williams advection
215!--       scheme. NEC vector machines use a different version, because
216!--       in the other versions a good vectorization is prohibited due to
217!--       inlining problems.
218          IF ( loop_optimization == 'cache' )  THEN
219             CALL prognostic_equations_cache
220          ELSEIF ( loop_optimization == 'vector' )  THEN
221             CALL prognostic_equations_vector
222          ELSEIF ( loop_optimization == 'acc' )  THEN
223             CALL prognostic_equations_acc
224          ENDIF
225
226!
227!--       Particle transport/physics with the Lagrangian particle model
228!--       (only once during intermediate steps, because it uses an Euler-step)
229          IF ( particle_advection  .AND.                         &
230               simulated_time >= particle_advection_start  .AND. &
231               intermediate_timestep_count == 1 )  THEN
232             CALL lpm
233             first_call_lpm = .FALSE.
234          ENDIF
235
236!
237!--       Interaction of droplets with temperature and specific humidity.
238!--       Droplet condensation and evaporation is calculated within
239!--       advec_particles.
240          IF ( cloud_droplets  .AND.  &
241               intermediate_timestep_count == intermediate_timestep_count_max )&
242          THEN
243             CALL interaction_droplets_ptq
244          ENDIF
245
246!
247!--       Exchange of ghost points (lateral boundary conditions)
248          CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'start' )
249
250          IF ( numprocs == 1 )  THEN    ! workaround for single-core GPU runs
251             on_device = .TRUE.         ! to be removed after complete porting
252          ELSE                          ! of ghost point exchange
253             !$acc update host( e_p, pt_p, u_p, v_p, w_p )
254          ENDIF
255
256          CALL exchange_horiz( u_p, nbgp )
257          CALL exchange_horiz( v_p, nbgp )
258          CALL exchange_horiz( w_p, nbgp )
259          CALL exchange_horiz( pt_p, nbgp )
260          IF ( .NOT. constant_diffusion )  CALL exchange_horiz( e_p, nbgp )
261          IF ( ocean )  THEN
262             CALL exchange_horiz( sa_p, nbgp )
263             CALL exchange_horiz( rho, nbgp )
264             CALL exchange_horiz( prho, nbgp )
265          ENDIF
266          IF (humidity  .OR.  passive_scalar)  THEN
267             CALL exchange_horiz( q_p, nbgp )
268             IF ( cloud_physics .AND. icloud_scheme == 0 )  THEN
269                CALL exchange_horiz( qr_p, nbgp )
270                CALL exchange_horiz( nr_p, nbgp )
271             ENDIF
272          ENDIF
273          IF ( cloud_droplets )  THEN
274             CALL exchange_horiz( ql, nbgp )
275             CALL exchange_horiz( ql_c, nbgp )
276             CALL exchange_horiz( ql_v, nbgp )
277             CALL exchange_horiz( ql_vp, nbgp )
278          ENDIF
279          IF ( wang_kernel  .OR.  turbulence )  CALL exchange_horiz( diss, nbgp )
280
281          IF ( numprocs == 1 )  THEN    ! workaround for single-core GPU runs
282             on_device = .FALSE.        ! to be removed after complete porting
283          ELSE                          ! of ghost point exchange
284             !$acc update device( e_p, pt_p, u_p, v_p, w_p )
285          ENDIF
286
287          CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'stop' )
288
289!
290!--       Boundary conditions for the prognostic quantities (except of the
291!--       velocities at the outflow in case of a non-cyclic lateral wall)
292          CALL boundary_conds
293
294!
295!--       Swap the time levels in preparation for the next time step.
296          CALL swap_timelevel
297
298!
299!--       Temperature offset must be imposed at cyclic boundaries in x-direction
300!--       when a sloping surface is used
301          IF ( sloping_surface )  THEN
302             IF ( nxl ==  0 )  pt(:,:,nxlg:nxl-1) = pt(:,:,nxlg:nxl-1) - &
303                                                    pt_slope_offset
304             IF ( nxr == nx )  pt(:,:,nxr+1:nxrg) = pt(:,:,nxr+1:nxrg) + &
305                                                    pt_slope_offset
306          ENDIF
307
308!
309!--       Impose a turbulent inflow using the recycling method
310          IF ( turbulent_inflow )  CALL  inflow_turbulence
311
312!
313!--       Impose a random perturbation on the horizontal velocity field
314          IF ( create_disturbances  .AND.                                      &
315               ( call_psolver_at_all_substeps  .AND.                           &
316               intermediate_timestep_count == intermediate_timestep_count_max )&
317          .OR. ( .NOT. call_psolver_at_all_substeps  .AND.                     &
318               intermediate_timestep_count == 1 ) )                            &
319          THEN
320             time_disturb = time_disturb + dt_3d
321             IF ( time_disturb >= dt_disturb )  THEN
322                !$acc update host( u, v )
323                IF ( numprocs == 1 )  on_device = .FALSE.  ! workaround, remove later
324                IF ( hom(nzb+5,1,pr_palm,0) < disturbance_energy_limit )  THEN
325                   CALL disturb_field( nzb_u_inner, tend, u )
326                   CALL disturb_field( nzb_v_inner, tend, v )
327                ELSEIF ( .NOT. bc_lr_cyc  .OR.  .NOT. bc_ns_cyc )  THEN
328!
329!--                Runs with a non-cyclic lateral wall need perturbations
330!--                near the inflow throughout the whole simulation
331                   dist_range = 1
332                   CALL disturb_field( nzb_u_inner, tend, u )
333                   CALL disturb_field( nzb_v_inner, tend, v )
334                   dist_range = 0
335                ENDIF
336                IF ( numprocs == 1 )  on_device = .TRUE.  ! workaround, remove later
337                !$acc update device( u, v )
338                time_disturb = time_disturb - dt_disturb
339             ENDIF
340          ENDIF
341
342!
343!--       Reduce the velocity divergence via the equation for perturbation
344!--       pressure.
345          IF ( intermediate_timestep_count == 1  .OR. &
346                call_psolver_at_all_substeps )  THEN
347             CALL pres
348          ENDIF
349
350!
351!--       If required, compute virtuell potential temperature
352          IF ( humidity )  THEN
353             CALL compute_vpt
354             !$acc update device( vpt )
355          ENDIF
356
357!
358!--       If required, compute liquid water content
359          IF ( cloud_physics )  THEN
360             CALL calc_liquid_water_content
361             !$acc update device( ql )
362          ENDIF
363
364!
365!--       Compute the diffusion quantities
366          IF ( .NOT. constant_diffusion )  THEN
367
368!
369!--          First the vertical fluxes in the Prandtl layer are being computed
370             IF ( prandtl_layer )  THEN
371                CALL cpu_log( log_point(19), 'prandtl_fluxes', 'start' )
372                CALL prandtl_fluxes
373                CALL cpu_log( log_point(19), 'prandtl_fluxes', 'stop' )
374             ENDIF
375
376!
377!--          Compute the diffusion coefficients
378             CALL cpu_log( log_point(17), 'diffusivities', 'start' )
379             IF ( .NOT. humidity ) THEN
380                IF ( ocean )  THEN
381                   CALL diffusivities( prho, prho_reference )
382                ELSE
383                   CALL diffusivities( pt, pt_reference )
384                ENDIF
385             ELSE
386                CALL diffusivities( vpt, pt_reference )
387             ENDIF
388             CALL cpu_log( log_point(17), 'diffusivities', 'stop' )
389
390          ENDIF
391
392       ENDDO   ! Intermediate step loop
393
394!
395!--    Increase simulation time and output times
396       nr_timesteps_this_run      = nr_timesteps_this_run + 1
397       current_timestep_number    = current_timestep_number + 1
398       simulated_time             = simulated_time   + dt_3d
399       simulated_time_chr         = time_to_string( simulated_time )
400       time_since_reference_point = simulated_time - coupling_start_time
401
402       IF ( simulated_time >= skip_time_data_output_av )  THEN
403          time_do_av         = time_do_av       + dt_3d
404       ENDIF
405       IF ( simulated_time >= skip_time_do2d_xy )  THEN
406          time_do2d_xy       = time_do2d_xy     + dt_3d
407       ENDIF
408       IF ( simulated_time >= skip_time_do2d_xz )  THEN
409          time_do2d_xz       = time_do2d_xz     + dt_3d
410       ENDIF
411       IF ( simulated_time >= skip_time_do2d_yz )  THEN
412          time_do2d_yz       = time_do2d_yz     + dt_3d
413       ENDIF
414       IF ( simulated_time >= skip_time_do3d    )  THEN
415          time_do3d          = time_do3d        + dt_3d
416       ENDIF
417       DO  mid = 1, masks
418          IF ( simulated_time >= skip_time_domask(mid) )  THEN
419             time_domask(mid)= time_domask(mid) + dt_3d
420          ENDIF
421       ENDDO
422       time_dvrp          = time_dvrp        + dt_3d
423       IF ( simulated_time >= skip_time_dosp )  THEN
424          time_dosp       = time_dosp        + dt_3d
425       ENDIF
426       time_dots          = time_dots        + dt_3d
427       IF ( .NOT. first_call_lpm )  THEN
428          time_dopts      = time_dopts       + dt_3d
429       ENDIF
430       IF ( simulated_time >= skip_time_dopr )  THEN
431          time_dopr       = time_dopr        + dt_3d
432       ENDIF
433       time_dopr_listing          = time_dopr_listing        + dt_3d
434       time_run_control   = time_run_control + dt_3d
435
436!
437!--    Data exchange between coupled models
438       IF ( coupling_mode /= 'uncoupled'  .AND.  run_coupled )  THEN
439          time_coupling = time_coupling + dt_3d
440
441!
442!--       In case of model termination initiated by the local model
443!--       (terminate_coupled > 0), the coupler must be skipped because it would
444!--       cause an MPI intercomminucation hang.
445!--       If necessary, the coupler will be called at the beginning of the
446!--       next restart run.
447          DO WHILE ( time_coupling >= dt_coupling .AND. terminate_coupled == 0 )
448             CALL surface_coupler
449             time_coupling = time_coupling - dt_coupling
450          ENDDO
451       ENDIF
452
453!
454!--    Execute user-defined actions
455       CALL user_actions( 'after_integration' )
456
457!
458!--    If Galilei transformation is used, determine the distance that the
459!--    model has moved so far
460       IF ( galilei_transformation )  THEN
461          advected_distance_x = advected_distance_x + u_gtrans * dt_3d
462          advected_distance_y = advected_distance_y + v_gtrans * dt_3d
463       ENDIF
464
465!
466!--    Check, if restart is necessary (because cpu-time is expiring or
467!--    because it is forced by user) and set stop flag
468!--    This call is skipped if the remote model has already initiated a restart.
469       IF ( .NOT. terminate_run )  CALL check_for_restart
470
471!
472!--    Carry out statistical analysis and output at the requested output times.
473!--    The MOD function is used for calculating the output time counters (like
474!--    time_dopr) in order to regard a possible decrease of the output time
475!--    interval in case of restart runs
476
477!
478!--    Set a flag indicating that so far no statistics have been created
479!--    for this time step
480       flow_statistics_called = .FALSE.
481
482!
483!--    If required, call flow_statistics for averaging in time
484       IF ( averaging_interval_pr /= 0.0  .AND.  &
485            ( dt_dopr - time_dopr ) <= averaging_interval_pr  .AND.  &
486            simulated_time >= skip_time_dopr )  THEN
487          time_dopr_av = time_dopr_av + dt_3d
488          IF ( time_dopr_av >= dt_averaging_input_pr )  THEN
489             do_sum = .TRUE.
490             time_dopr_av = MOD( time_dopr_av, &
491                                    MAX( dt_averaging_input_pr, dt_3d ) )
492          ENDIF
493       ENDIF
494       IF ( do_sum )  CALL flow_statistics
495
496!
497!--    Sum-up 3d-arrays for later output of time-averaged 2d/3d/masked data
498       IF ( averaging_interval /= 0.0  .AND.                                &
499            ( dt_data_output_av - time_do_av ) <= averaging_interval  .AND. &
500            simulated_time >= skip_time_data_output_av )                    &
501       THEN
502          time_do_sla = time_do_sla + dt_3d
503          IF ( time_do_sla >= dt_averaging_input )  THEN
504             CALL sum_up_3d_data
505             average_count_3d = average_count_3d + 1
506             time_do_sla = MOD( time_do_sla, MAX( dt_averaging_input, dt_3d ) )
507          ENDIF
508       ENDIF
509
510!
511!--    Calculate spectra for time averaging
512       IF ( averaging_interval_sp /= 0.0  .AND.  &
513            ( dt_dosp - time_dosp ) <= averaging_interval_sp  .AND.  &
514            simulated_time >= skip_time_dosp )  THEN
515          time_dosp_av = time_dosp_av + dt_3d
516          IF ( time_dosp_av >= dt_averaging_input_pr )  THEN
517             CALL calc_spectra
518             time_dosp_av = MOD( time_dosp_av, &
519                                 MAX( dt_averaging_input_pr, dt_3d ) )
520          ENDIF
521       ENDIF
522
523!
524!--    Computation and output of run control parameters.
525!--    This is also done whenever perturbations have been imposed
526       IF ( time_run_control >= dt_run_control  .OR.                     &
527            timestep_scheme(1:5) /= 'runge'  .OR.  disturbance_created ) &
528       THEN
529          CALL run_control
530          IF ( time_run_control >= dt_run_control )  THEN
531             time_run_control = MOD( time_run_control, &
532                                     MAX( dt_run_control, dt_3d ) )
533          ENDIF
534       ENDIF
535
536!
537!--    Profile output (ASCII) on file
538       IF ( time_dopr_listing >= dt_dopr_listing )  THEN
539          CALL print_1d
540          time_dopr_listing = MOD( time_dopr_listing, MAX( dt_dopr_listing, &
541                                                           dt_3d ) )
542       ENDIF
543
544!
545!--    Graphic output for PROFIL
546       IF ( time_dopr >= dt_dopr )  THEN
547          IF ( dopr_n /= 0 )  CALL data_output_profiles
548          time_dopr = MOD( time_dopr, MAX( dt_dopr, dt_3d ) )
549          time_dopr_av = 0.0    ! due to averaging (see above)
550       ENDIF
551
552!
553!--    Graphic output for time series
554       IF ( time_dots >= dt_dots )  THEN
555          CALL data_output_tseries
556          time_dots = MOD( time_dots, MAX( dt_dots, dt_3d ) )
557       ENDIF
558
559!
560!--    Output of spectra (formatted for use with PROFIL), in case of no
561!--    time averaging, spectra has to be calculated before
562       IF ( time_dosp >= dt_dosp )  THEN
563          IF ( average_count_sp == 0 )  CALL calc_spectra
564          CALL data_output_spectra
565          time_dosp = MOD( time_dosp, MAX( dt_dosp, dt_3d ) )
566       ENDIF
567
568!
569!--    2d-data output (cross-sections)
570       IF ( time_do2d_xy >= dt_do2d_xy )  THEN
571          CALL data_output_2d( 'xy', 0 )
572          time_do2d_xy = MOD( time_do2d_xy, MAX( dt_do2d_xy, dt_3d ) )
573       ENDIF
574       IF ( time_do2d_xz >= dt_do2d_xz )  THEN
575          CALL data_output_2d( 'xz', 0 )
576          time_do2d_xz = MOD( time_do2d_xz, MAX( dt_do2d_xz, dt_3d ) )
577       ENDIF
578       IF ( time_do2d_yz >= dt_do2d_yz )  THEN
579          CALL data_output_2d( 'yz', 0 )
580          time_do2d_yz = MOD( time_do2d_yz, MAX( dt_do2d_yz, dt_3d ) )
581       ENDIF
582
583!
584!--    3d-data output (volume data)
585       IF ( time_do3d >= dt_do3d )  THEN
586          CALL data_output_3d( 0 )
587          time_do3d = MOD( time_do3d, MAX( dt_do3d, dt_3d ) )
588       ENDIF
589
590!
591!--    masked data output
592       DO  mid = 1, masks
593          IF ( time_domask(mid) >= dt_domask(mid) )  THEN
594             CALL data_output_mask( 0 )
595             time_domask(mid) = MOD( time_domask(mid),  &
596                                     MAX( dt_domask(mid), dt_3d ) )
597          ENDIF
598       ENDDO
599
600!
601!--    Output of time-averaged 2d/3d/masked data
602       IF ( time_do_av >= dt_data_output_av )  THEN
603          CALL average_3d_data
604          CALL data_output_2d( 'xy', 1 )
605          CALL data_output_2d( 'xz', 1 )
606          CALL data_output_2d( 'yz', 1 )
607          CALL data_output_3d( 1 )
608          DO  mid = 1, masks
609             CALL data_output_mask( 1 )
610          ENDDO
611          time_do_av = MOD( time_do_av, MAX( dt_data_output_av, dt_3d ) )
612       ENDIF
613
614!
615!--    Output of particle time series
616       IF ( particle_advection )  THEN
617          IF ( time_dopts >= dt_dopts  .OR. &
618               ( simulated_time >= particle_advection_start  .AND. &
619                 first_call_lpm ) )  THEN
620             CALL data_output_ptseries
621             time_dopts = MOD( time_dopts, MAX( dt_dopts, dt_3d ) )
622          ENDIF
623       ENDIF
624
625!
626!--    Output of dvrp-graphics (isosurface, particles, slicer)
627#if defined( __dvrp_graphics )
628       CALL DVRP_LOG_EVENT( -2, current_timestep_number-1 )
629#endif
630       IF ( time_dvrp >= dt_dvrp )  THEN
631          CALL data_output_dvrp
632          time_dvrp = MOD( time_dvrp, MAX( dt_dvrp, dt_3d ) )
633       ENDIF
634#if defined( __dvrp_graphics )
635       CALL DVRP_LOG_EVENT( 2, current_timestep_number )
636#endif
637
638!
639!--    If required, set the heat flux for the next time step at a random value
640       IF ( constant_heatflux  .AND.  random_heatflux )  CALL disturb_heatflux
641
642!
643!--    Execute user-defined actions
644       CALL user_actions( 'after_timestep' )
645
646       CALL cpu_log( log_point_s(10), 'timesteps', 'stop' )
647
648
649    ENDDO   ! time loop
650
651#if defined( __dvrp_graphics )
652    CALL DVRP_LOG_EVENT( -2, current_timestep_number )
653#endif
654
655 END SUBROUTINE time_integration
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