1 | SUBROUTINE time_integration |
---|
2 | |
---|
3 | !------------------------------------------------------------------------------! |
---|
4 | ! Actual revisions: |
---|
5 | ! ----------------- |
---|
6 | ! |
---|
7 | ! |
---|
8 | ! Former revisions: |
---|
9 | ! ----------------- |
---|
10 | ! $Id: time_integration.f90 77 2007-03-29 04:26:56Z raasch $ |
---|
11 | ! |
---|
12 | ! 75 2007-03-22 09:54:05Z raasch |
---|
13 | ! Move call of user_actions( 'after_integration' ) below increment of times |
---|
14 | ! and counters, |
---|
15 | ! calls of prognostic_equations_.. changed to .._noopt, .._cache, and |
---|
16 | ! .._vector, these calls are now controlled by switch loop_optimization, |
---|
17 | ! uxrp, vynp eliminated, 2nd+3rd argument removed from exchange horiz, |
---|
18 | ! moisture renamed humidity |
---|
19 | ! |
---|
20 | ! RCS Log replace by Id keyword, revision history cleaned up |
---|
21 | ! |
---|
22 | ! Revision 1.8 2006/08/22 14:16:05 raasch |
---|
23 | ! Disturbances are imposed only for the last Runge-Kutta-substep |
---|
24 | ! |
---|
25 | ! Revision 1.2 2004/04/30 13:03:40 raasch |
---|
26 | ! decalpha-specific warning removed, routine name changed to time_integration, |
---|
27 | ! particle advection is carried out only once during the intermediate steps, |
---|
28 | ! impulse_advec renamed momentum_advec |
---|
29 | ! |
---|
30 | ! Revision 1.1 1997/08/11 06:19:04 raasch |
---|
31 | ! Initial revision |
---|
32 | ! |
---|
33 | ! |
---|
34 | ! Description: |
---|
35 | ! ------------ |
---|
36 | ! Integration in time of the model equations, statistical analysis and graphic |
---|
37 | ! output |
---|
38 | !------------------------------------------------------------------------------! |
---|
39 | |
---|
40 | USE arrays_3d |
---|
41 | USE averaging |
---|
42 | USE control_parameters |
---|
43 | USE cpulog |
---|
44 | #if defined( __dvrp_graphics ) |
---|
45 | USE DVRP |
---|
46 | #endif |
---|
47 | USE grid_variables |
---|
48 | USE indices |
---|
49 | USE interaction_droplets_ptq_mod |
---|
50 | USE interfaces |
---|
51 | USE particle_attributes |
---|
52 | USE pegrid |
---|
53 | USE prognostic_equations_mod |
---|
54 | USE statistics |
---|
55 | USE user_actions_mod |
---|
56 | |
---|
57 | IMPLICIT NONE |
---|
58 | |
---|
59 | CHARACTER (LEN=9) :: time_to_string |
---|
60 | INTEGER :: i, j, k |
---|
61 | |
---|
62 | ! |
---|
63 | !-- At the beginning of a simulation determine the time step as well as |
---|
64 | !-- determine and print out the run control parameters |
---|
65 | IF ( simulated_time == 0.0 ) CALL timestep |
---|
66 | CALL run_control |
---|
67 | |
---|
68 | #if defined( __dvrp_graphics ) |
---|
69 | ! |
---|
70 | !-- Time measurement with dvrp software |
---|
71 | CALL DVRP_LOG_EVENT( 2, current_timestep_number ) |
---|
72 | #endif |
---|
73 | |
---|
74 | ! |
---|
75 | !-- Start of the time loop |
---|
76 | DO WHILE ( simulated_time < end_time .AND. .NOT. stop_dt .AND. & |
---|
77 | .NOT. terminate_run ) |
---|
78 | |
---|
79 | CALL cpu_log( log_point_s(10), 'timesteps', 'start' ) |
---|
80 | |
---|
81 | ! |
---|
82 | !-- Determine size of next time step |
---|
83 | IF ( simulated_time /= 0.0 ) CALL timestep |
---|
84 | |
---|
85 | ! |
---|
86 | !-- Execute the user-defined actions |
---|
87 | CALL user_actions( 'before_timestep' ) |
---|
88 | |
---|
89 | ! |
---|
90 | !-- Start of intermediate step loop |
---|
91 | intermediate_timestep_count = 0 |
---|
92 | DO WHILE ( intermediate_timestep_count < & |
---|
93 | intermediate_timestep_count_max ) |
---|
94 | |
---|
95 | intermediate_timestep_count = intermediate_timestep_count + 1 |
---|
96 | |
---|
97 | ! |
---|
98 | !-- Set the steering factors for the prognostic equations which depend |
---|
99 | !-- on the timestep scheme |
---|
100 | CALL timestep_scheme_steering |
---|
101 | |
---|
102 | ! |
---|
103 | !-- Solve the prognostic equations. A fast cache optimized version with |
---|
104 | !-- only one single loop is used in case of Piascek-Williams advection |
---|
105 | !-- scheme. NEC vector machines use a different version, because |
---|
106 | !-- in the other versions a good vectorization is prohibited due to |
---|
107 | !-- inlining problems. |
---|
108 | IF ( loop_optimization == 'vector' ) THEN |
---|
109 | CALL prognostic_equations_vector |
---|
110 | ELSE |
---|
111 | IF ( momentum_advec == 'ups-scheme' .OR. & |
---|
112 | scalar_advec == 'ups-scheme' .OR. & |
---|
113 | scalar_advec == 'bc-scheme' ) & |
---|
114 | THEN |
---|
115 | CALL prognostic_equations_noopt |
---|
116 | ELSE |
---|
117 | CALL prognostic_equations_cache |
---|
118 | ENDIF |
---|
119 | ENDIF |
---|
120 | |
---|
121 | ! |
---|
122 | !-- Particle advection (only once during intermediate steps, because |
---|
123 | !-- it uses an Euler-step) |
---|
124 | IF ( particle_advection .AND. & |
---|
125 | simulated_time >= particle_advection_start .AND. & |
---|
126 | intermediate_timestep_count == 1 ) THEN |
---|
127 | CALL advec_particles |
---|
128 | first_call_advec_particles = .FALSE. |
---|
129 | ENDIF |
---|
130 | |
---|
131 | ! |
---|
132 | !-- Interaction of droplets with temperature and specific humidity. |
---|
133 | !-- Droplet condensation and evaporation is calculated within |
---|
134 | !-- advec_particles. |
---|
135 | IF ( cloud_droplets .AND. & |
---|
136 | intermediate_timestep_count == intermediate_timestep_count_max )& |
---|
137 | THEN |
---|
138 | CALL interaction_droplets_ptq |
---|
139 | ENDIF |
---|
140 | |
---|
141 | ! |
---|
142 | !-- Exchange of ghost points (lateral boundary conditions) |
---|
143 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'start' ) |
---|
144 | CALL exchange_horiz( u_p ) |
---|
145 | CALL exchange_horiz( v_p ) |
---|
146 | CALL exchange_horiz( w_p ) |
---|
147 | CALL exchange_horiz( pt_p ) |
---|
148 | IF ( .NOT. constant_diffusion ) CALL exchange_horiz( e_p ) |
---|
149 | IF ( humidity .OR. passive_scalar ) CALL exchange_horiz( q_p ) |
---|
150 | IF ( cloud_droplets ) THEN |
---|
151 | CALL exchange_horiz( ql ) |
---|
152 | CALL exchange_horiz( ql_c ) |
---|
153 | CALL exchange_horiz( ql_v ) |
---|
154 | CALL exchange_horiz( ql_vp ) |
---|
155 | ENDIF |
---|
156 | |
---|
157 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'stop' ) |
---|
158 | |
---|
159 | ! |
---|
160 | !-- Apply time filter in case of leap-frog timestep |
---|
161 | IF ( tsc(2) == 2.0 .AND. timestep_scheme(1:8) == 'leapfrog' ) THEN |
---|
162 | CALL asselin_filter |
---|
163 | ENDIF |
---|
164 | |
---|
165 | ! |
---|
166 | !-- Boundary conditions for the prognostic quantities (except of the |
---|
167 | !-- velocities at the outflow in case of a non-cyclic lateral wall) |
---|
168 | CALL boundary_conds( 'main' ) |
---|
169 | |
---|
170 | ! |
---|
171 | !-- Swap the time levels in preparation for the next time step. |
---|
172 | CALL swap_timelevel |
---|
173 | |
---|
174 | ! |
---|
175 | !-- Temperature offset must be imposed at cyclic boundaries in x-direction |
---|
176 | !-- when a sloping surface is used |
---|
177 | IF ( sloping_surface ) THEN |
---|
178 | IF ( nxl == 0 ) pt(:,:,nxl-1) = pt(:,:,nxl-1) - pt_slope_offset |
---|
179 | IF ( nxr == nx ) pt(:,:,nxr+1) = pt(:,:,nxr+1) + pt_slope_offset |
---|
180 | ENDIF |
---|
181 | |
---|
182 | ! |
---|
183 | !-- Impose a random perturbation on the horizontal velocity field |
---|
184 | IF ( create_disturbances .AND. & |
---|
185 | intermediate_timestep_count == intermediate_timestep_count_max )& |
---|
186 | THEN |
---|
187 | time_disturb = time_disturb + dt_3d |
---|
188 | IF ( time_disturb >= dt_disturb ) THEN |
---|
189 | IF ( hom(nzb+5,1,var_hom,0) < disturbance_energy_limit ) THEN |
---|
190 | CALL disturb_field( nzb_u_inner, tend, u ) |
---|
191 | CALL disturb_field( nzb_v_inner, tend, v ) |
---|
192 | ELSEIF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) THEN |
---|
193 | ! |
---|
194 | !-- Runs with a non-cyclic lateral wall need perturbations |
---|
195 | !-- near the inflow throughout the whole simulation |
---|
196 | dist_range = 1 |
---|
197 | CALL disturb_field( nzb_u_inner, tend, u ) |
---|
198 | CALL disturb_field( nzb_v_inner, tend, v ) |
---|
199 | dist_range = 0 |
---|
200 | ENDIF |
---|
201 | time_disturb = time_disturb - dt_disturb |
---|
202 | ENDIF |
---|
203 | ENDIF |
---|
204 | |
---|
205 | ! |
---|
206 | !-- Reduce the velocity divergence via the equation for perturbation |
---|
207 | !-- pressure. |
---|
208 | IF ( intermediate_timestep_count == intermediate_timestep_count_max & |
---|
209 | .OR. call_psolver_at_all_substeps ) THEN |
---|
210 | CALL pres |
---|
211 | ENDIF |
---|
212 | |
---|
213 | ! |
---|
214 | !-- In case of a non-cyclic lateral wall, set the boundary conditions for |
---|
215 | !-- the velocities at the outflow |
---|
216 | ! IF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) THEN |
---|
217 | ! CALL boundary_conds( 'outflow_uvw' ) |
---|
218 | ! ENDIF |
---|
219 | |
---|
220 | ! |
---|
221 | !-- If required, compute virtuell potential temperature |
---|
222 | IF ( humidity ) CALL compute_vpt |
---|
223 | |
---|
224 | ! |
---|
225 | !-- If required, compute liquid water content |
---|
226 | IF ( cloud_physics ) CALL calc_liquid_water_content |
---|
227 | |
---|
228 | ! |
---|
229 | !-- Compute the diffusion quantities |
---|
230 | IF ( .NOT. constant_diffusion ) THEN |
---|
231 | |
---|
232 | ! |
---|
233 | !-- First the vertical fluxes in the Prandtl layer are being computed |
---|
234 | IF ( prandtl_layer ) THEN |
---|
235 | CALL cpu_log( log_point(19), 'prandtl_fluxes', 'start' ) |
---|
236 | CALL prandtl_fluxes |
---|
237 | CALL cpu_log( log_point(19), 'prandtl_fluxes', 'stop' ) |
---|
238 | ENDIF |
---|
239 | |
---|
240 | ! |
---|
241 | !-- Compute the diffusion coefficients |
---|
242 | CALL cpu_log( log_point(17), 'diffusivities', 'start' ) |
---|
243 | IF ( .NOT. humidity ) THEN |
---|
244 | CALL diffusivities( pt ) |
---|
245 | ELSE |
---|
246 | CALL diffusivities( vpt ) |
---|
247 | ENDIF |
---|
248 | CALL cpu_log( log_point(17), 'diffusivities', 'stop' ) |
---|
249 | |
---|
250 | ENDIF |
---|
251 | |
---|
252 | ENDDO ! Intermediate step loop |
---|
253 | |
---|
254 | ! |
---|
255 | !-- Increase simulation time and output times |
---|
256 | current_timestep_number = current_timestep_number + 1 |
---|
257 | simulated_time = simulated_time + dt_3d |
---|
258 | simulated_time_chr = time_to_string( simulated_time ) |
---|
259 | IF ( simulated_time >= skip_time_data_output_av ) THEN |
---|
260 | time_do_av = time_do_av + dt_3d |
---|
261 | ENDIF |
---|
262 | IF ( simulated_time >= skip_time_do2d_xy ) THEN |
---|
263 | time_do2d_xy = time_do2d_xy + dt_3d |
---|
264 | ENDIF |
---|
265 | IF ( simulated_time >= skip_time_do2d_xz ) THEN |
---|
266 | time_do2d_xz = time_do2d_xz + dt_3d |
---|
267 | ENDIF |
---|
268 | IF ( simulated_time >= skip_time_do2d_yz ) THEN |
---|
269 | time_do2d_yz = time_do2d_yz + dt_3d |
---|
270 | ENDIF |
---|
271 | IF ( simulated_time >= skip_time_do3d ) THEN |
---|
272 | time_do3d = time_do3d + dt_3d |
---|
273 | ENDIF |
---|
274 | time_dvrp = time_dvrp + dt_3d |
---|
275 | IF ( simulated_time >= skip_time_dosp ) THEN |
---|
276 | time_dosp = time_dosp + dt_3d |
---|
277 | ENDIF |
---|
278 | time_dots = time_dots + dt_3d |
---|
279 | IF ( .NOT. first_call_advec_particles ) THEN |
---|
280 | time_dopts = time_dopts + dt_3d |
---|
281 | ENDIF |
---|
282 | IF ( simulated_time >= skip_time_dopr ) THEN |
---|
283 | time_dopr = time_dopr + dt_3d |
---|
284 | ENDIF |
---|
285 | time_dopr_listing = time_dopr_listing + dt_3d |
---|
286 | time_run_control = time_run_control + dt_3d |
---|
287 | |
---|
288 | ! |
---|
289 | !-- Execute user-defined actions |
---|
290 | CALL user_actions( 'after_integration' ) |
---|
291 | |
---|
292 | ! |
---|
293 | !-- If Galilei transformation is used, determine the distance that the |
---|
294 | !-- model has moved so far |
---|
295 | IF ( galilei_transformation ) THEN |
---|
296 | advected_distance_x = advected_distance_x + u_gtrans * dt_3d |
---|
297 | advected_distance_y = advected_distance_y + v_gtrans * dt_3d |
---|
298 | ENDIF |
---|
299 | |
---|
300 | ! |
---|
301 | !-- Check, if restart is necessary (because cpu-time is expiring or |
---|
302 | !-- because it is forced by user) and set stop flag |
---|
303 | CALL check_for_restart |
---|
304 | |
---|
305 | ! |
---|
306 | !-- Carry out statistical analysis and output at the requested output times. |
---|
307 | !-- The MOD function is used for calculating the output time counters (like |
---|
308 | !-- time_dopr) in order to regard a possible decrease of the output time |
---|
309 | !-- interval in case of restart runs |
---|
310 | |
---|
311 | ! |
---|
312 | !-- Set a flag indicating that so far no statistics have been created |
---|
313 | !-- for this time step |
---|
314 | flow_statistics_called = .FALSE. |
---|
315 | |
---|
316 | ! |
---|
317 | !-- If required, call flow_statistics for averaging in time |
---|
318 | IF ( averaging_interval_pr /= 0.0 .AND. & |
---|
319 | ( dt_dopr - time_dopr ) <= averaging_interval_pr .AND. & |
---|
320 | simulated_time >= skip_time_dopr ) THEN |
---|
321 | time_dopr_av = time_dopr_av + dt_3d |
---|
322 | IF ( time_dopr_av >= dt_averaging_input_pr ) THEN |
---|
323 | do_sum = .TRUE. |
---|
324 | time_dopr_av = MOD( time_dopr_av, & |
---|
325 | MAX( dt_averaging_input_pr, dt_3d ) ) |
---|
326 | ENDIF |
---|
327 | ENDIF |
---|
328 | IF ( do_sum ) CALL flow_statistics |
---|
329 | |
---|
330 | ! |
---|
331 | !-- Sum-up 3d-arrays for later output of time-averaged data |
---|
332 | IF ( averaging_interval /= 0.0 .AND. & |
---|
333 | ( dt_data_output_av - time_do_av ) <= averaging_interval .AND. & |
---|
334 | simulated_time >= skip_time_data_output_av ) & |
---|
335 | THEN |
---|
336 | time_do_sla = time_do_sla + dt_3d |
---|
337 | IF ( time_do_sla >= dt_averaging_input ) THEN |
---|
338 | CALL sum_up_3d_data |
---|
339 | average_count_3d = average_count_3d + 1 |
---|
340 | time_do_sla = MOD( time_do_sla, MAX( dt_averaging_input, dt_3d ) ) |
---|
341 | ENDIF |
---|
342 | ENDIF |
---|
343 | |
---|
344 | ! |
---|
345 | !-- Calculate spectra for time averaging |
---|
346 | IF ( averaging_interval_sp /= 0.0 .AND. & |
---|
347 | ( dt_dosp - time_dosp ) <= averaging_interval_sp .AND. & |
---|
348 | simulated_time >= skip_time_dosp ) THEN |
---|
349 | time_dosp_av = time_dosp_av + dt_3d |
---|
350 | IF ( time_dosp_av >= dt_averaging_input_pr ) THEN |
---|
351 | CALL calc_spectra |
---|
352 | time_dosp_av = MOD( time_dosp_av, & |
---|
353 | MAX( dt_averaging_input_pr, dt_3d ) ) |
---|
354 | ENDIF |
---|
355 | ENDIF |
---|
356 | |
---|
357 | ! |
---|
358 | !-- Computation and output of run control parameters. |
---|
359 | !-- This is also done whenever the time step has changed or perturbations |
---|
360 | !-- have been imposed |
---|
361 | IF ( time_run_control >= dt_run_control .OR. & |
---|
362 | ( dt_changed .AND. timestep_scheme(1:5) /= 'runge' ) .OR. & |
---|
363 | disturbance_created ) & |
---|
364 | THEN |
---|
365 | CALL run_control |
---|
366 | IF ( time_run_control >= dt_run_control ) THEN |
---|
367 | time_run_control = MOD( time_run_control, & |
---|
368 | MAX( dt_run_control, dt_3d ) ) |
---|
369 | ENDIF |
---|
370 | ENDIF |
---|
371 | |
---|
372 | ! |
---|
373 | !-- Profile output (ASCII) on file |
---|
374 | IF ( time_dopr_listing >= dt_dopr_listing ) THEN |
---|
375 | CALL print_1d |
---|
376 | time_dopr_listing = MOD( time_dopr_listing, MAX( dt_dopr_listing, & |
---|
377 | dt_3d ) ) |
---|
378 | ENDIF |
---|
379 | |
---|
380 | ! |
---|
381 | !-- Graphic output for PROFIL |
---|
382 | IF ( time_dopr >= dt_dopr ) THEN |
---|
383 | IF ( dopr_n /= 0 ) CALL data_output_profiles |
---|
384 | time_dopr = MOD( time_dopr, MAX( dt_dopr, dt_3d ) ) |
---|
385 | time_dopr_av = 0.0 ! due to averaging (see above) |
---|
386 | ENDIF |
---|
387 | |
---|
388 | ! |
---|
389 | !-- Graphic output for time series |
---|
390 | IF ( time_dots >= dt_dots ) THEN |
---|
391 | CALL data_output_tseries |
---|
392 | time_dots = MOD( time_dots, MAX( dt_dots, dt_3d ) ) |
---|
393 | ENDIF |
---|
394 | |
---|
395 | ! |
---|
396 | !-- Output of spectra (formatted for use with PROFIL), in case of no |
---|
397 | !-- time averaging, spectra has to be calculated before |
---|
398 | IF ( time_dosp >= dt_dosp ) THEN |
---|
399 | IF ( average_count_sp == 0 ) CALL calc_spectra |
---|
400 | CALL data_output_spectra |
---|
401 | time_dosp = MOD( time_dosp, MAX( dt_dosp, dt_3d ) ) |
---|
402 | ENDIF |
---|
403 | |
---|
404 | ! |
---|
405 | !-- 2d-data output (cross-sections) |
---|
406 | IF ( time_do2d_xy >= dt_do2d_xy ) THEN |
---|
407 | CALL data_output_2d( 'xy', 0 ) |
---|
408 | time_do2d_xy = MOD( time_do2d_xy, MAX( dt_do2d_xy, dt_3d ) ) |
---|
409 | ENDIF |
---|
410 | IF ( time_do2d_xz >= dt_do2d_xz ) THEN |
---|
411 | CALL data_output_2d( 'xz', 0 ) |
---|
412 | time_do2d_xz = MOD( time_do2d_xz, MAX( dt_do2d_xz, dt_3d ) ) |
---|
413 | ENDIF |
---|
414 | IF ( time_do2d_yz >= dt_do2d_yz ) THEN |
---|
415 | CALL data_output_2d( 'yz', 0 ) |
---|
416 | time_do2d_yz = MOD( time_do2d_yz, MAX( dt_do2d_yz, dt_3d ) ) |
---|
417 | ENDIF |
---|
418 | |
---|
419 | ! |
---|
420 | !-- 3d-data output (volume data) |
---|
421 | IF ( time_do3d >= dt_do3d ) THEN |
---|
422 | CALL data_output_3d( 0 ) |
---|
423 | time_do3d = MOD( time_do3d, MAX( dt_do3d, dt_3d ) ) |
---|
424 | ENDIF |
---|
425 | |
---|
426 | ! |
---|
427 | !-- Output of time-averaged 2d/3d-data |
---|
428 | IF ( time_do_av >= dt_data_output_av ) THEN |
---|
429 | CALL average_3d_data |
---|
430 | CALL data_output_2d( 'xy', 1 ) |
---|
431 | CALL data_output_2d( 'xz', 1 ) |
---|
432 | CALL data_output_2d( 'yz', 1 ) |
---|
433 | CALL data_output_3d( 1 ) |
---|
434 | time_do_av = MOD( time_do_av, MAX( dt_data_output_av, dt_3d ) ) |
---|
435 | ENDIF |
---|
436 | |
---|
437 | ! |
---|
438 | !-- Output of particle time series |
---|
439 | IF ( time_dopts >= dt_dopts .OR. & |
---|
440 | ( simulated_time >= particle_advection_start .AND. & |
---|
441 | first_call_advec_particles ) ) THEN |
---|
442 | CALL data_output_ptseries |
---|
443 | time_dopts = MOD( time_dopts, MAX( dt_dopts, dt_3d ) ) |
---|
444 | ENDIF |
---|
445 | |
---|
446 | ! |
---|
447 | !-- Output of dvrp-graphics (isosurface, particles, slicer) |
---|
448 | #if defined( __dvrp_graphics ) |
---|
449 | CALL DVRP_LOG_EVENT( -2, current_timestep_number-1 ) |
---|
450 | #endif |
---|
451 | IF ( time_dvrp >= dt_dvrp ) THEN |
---|
452 | CALL data_output_dvrp |
---|
453 | time_dvrp = MOD( time_dvrp, MAX( dt_dvrp, dt_3d ) ) |
---|
454 | ENDIF |
---|
455 | #if defined( __dvrp_graphics ) |
---|
456 | CALL DVRP_LOG_EVENT( 2, current_timestep_number ) |
---|
457 | #endif |
---|
458 | |
---|
459 | ! |
---|
460 | !-- If required, set the heat flux for the next time step at a random value |
---|
461 | IF ( constant_heatflux .AND. random_heatflux ) CALL disturb_heatflux |
---|
462 | |
---|
463 | ! |
---|
464 | !-- Execute user-defined actions |
---|
465 | CALL user_actions( 'after_timestep' ) |
---|
466 | |
---|
467 | CALL cpu_log( log_point_s(10), 'timesteps', 'stop' ) |
---|
468 | |
---|
469 | ENDDO ! time loop |
---|
470 | |
---|
471 | #if defined( __dvrp_graphics ) |
---|
472 | CALL DVRP_LOG_EVENT( -2, current_timestep_number ) |
---|
473 | #endif |
---|
474 | |
---|
475 | END SUBROUTINE time_integration |
---|