Home

Context Navigation

source: palm/trunk/SOURCE/prognostic_equations.f90 @ 3298

Last change on this file since 3298 was 3298, checked in by kanani, 6 years ago
Merge chemistry branch at r3297 to trunk
Property svn:keywords set to `Id`
File size: 89.8 KB

Line
1	!> @file prognostic_equations.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 1997-2018 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: prognostic_equations.f90 3298 2018-10-02 12:21:11Z kanani $
27	! Code added for decycling chemistry (basit)
28	!
29	! 3294 2018-10-01 02:37:10Z raasch
30	! changes concerning modularization of ocean option
31	!
32	! 3274 2018-09-24 15:42:55Z knoop
33	! Modularization of all bulk cloud physics code components
34	!
35	! 3241 2018-09-12 15:02:00Z raasch
36	! omp_get_thread_num now declared in omp directive
37	!
38	! 3183 2018-07-27 14:25:55Z suehring
39	! Remove unused variables from USE statements
40	!
41	! 3182 2018-07-27 13:36:03Z suehring
42	! Revise recent bugfix for nesting
43	!
44	! 3021 2018-05-16 08:14:20Z maronga
45	! Bugfix in IF clause for nesting
46	!
47	! 3014 2018-05-09 08:42:38Z maronga
48	! Fixed a bug in the IF condition to call pcm_tendency in case of
49	! potential temperature
50	!
51	! 2815 2018-02-19 11:29:57Z kanani
52	! Rename chem_tendency to chem_prognostic_equations,
53	! implement vector version for air chemistry
54	!
55	! 2766 2018-01-22 17:17:47Z kanani
56	! Removed preprocessor directive __chem
57	!
58	! 2746 2018-01-15 12:06:04Z suehring
59	! Move flag plant canopy to modules
60	!
61	! 2719 2018-01-02 09:02:06Z maronga
62	! Bugfix for last change.
63	!
64	! 2718 2018-01-02 08:49:38Z maronga
65	! Corrected "Former revisions" section
66	!
67	! 2696 2017-12-14 17:12:51Z kanani
68	! - Change in file header (GPL part)
69	! - Moved TKE equation to tcm_prognostic (TG)
70	! - Added switch for chemical reactions (RF, FK)
71	! - Implementation of chemistry module (RF, BK, FK)
72	!
73	! 2563 2017-10-19 15:36:10Z Giersch
74	! Variable wind_turbine moved to module control_parameters
75	!
76	! 2320 2017-07-21 12:47:43Z suehring
77	! Modularize large-scale forcing and nudging
78	!
79	! 2292 2017-06-20 09:51:42Z schwenkel
80	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
81	! includes two more prognostic equations for cloud drop concentration (nc)
82	! and cloud water content (qc).
83	!
84	! 2261 2017-06-08 14:25:57Z raasch
85	! bugfix for r2232: openmp directives removed
86	!
87	! 2233 2017-05-30 18:08:54Z suehring
88	!
89	! 2232 2017-05-30 17:47:52Z suehring
90	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
91	! which is realized directly in diffusion_s now.
92	!
93	! 2192 2017-03-22 04:14:10Z raasch
94	! Bugfix for misplaced and missing openMP directives from r2155
95	!
96	! 2155 2017-02-21 09:57:40Z hoffmann
97	! Bugfix in the calculation of microphysical quantities on ghost points.
98	!
99	! 2118 2017-01-17 16:38:49Z raasch
100	! OpenACC version of subroutine removed
101	!
102	! 2031 2016-10-21 15:11:58Z knoop
103	! renamed variable rho to rho_ocean
104	!
105	! 2011 2016-09-19 17:29:57Z kanani
106	! Flag urban_surface is now defined in module control_parameters.
107	!
108	! 2007 2016-08-24 15:47:17Z kanani
109	! Added pt tendency calculation based on energy balance at urban surfaces
110	! (new urban surface model)
111	!
112	! 2000 2016-08-20 18:09:15Z knoop
113	! Forced header and separation lines into 80 columns
114	!
115	! 1976 2016-07-27 13:28:04Z maronga
116	! Simplied calls to radiation model
117	!
118	! 1960 2016-07-12 16:34:24Z suehring
119	! Separate humidity and passive scalar
120	!
121	! 1914 2016-05-26 14:44:07Z witha
122	! Added calls for wind turbine model
123	!
124	! 1873 2016-04-18 14:50:06Z maronga
125	! Module renamed (removed _mod)
126	!
127	! 1850 2016-04-08 13:29:27Z maronga
128	! Module renamed
129	!
130	! 1826 2016-04-07 12:01:39Z maronga
131	! Renamed canopy model calls.
132	!
133	! 1822 2016-04-07 07:49:42Z hoffmann
134	! Kessler microphysics scheme moved to microphysics.
135	!
136	! 1757 2016-02-22 15:49:32Z maronga
137	!
138	! 1691 2015-10-26 16:17:44Z maronga
139	! Added optional model spin-up without radiation / land surface model calls.
140	! Formatting corrections.
141	!
142	! 1682 2015-10-07 23:56:08Z knoop
143	! Code annotations made doxygen readable
144	!
145	! 1585 2015-04-30 07:05:52Z maronga
146	! Added call for temperature tendency calculation due to radiative flux divergence
147	!
148	! 1517 2015-01-07 19:12:25Z hoffmann
149	! advec_s_bc_mod addded, since advec_s_bc is now a module
150	!
151	! 1496 2014-12-02 17:25:50Z maronga
152	! Renamed "radiation" -> "cloud_top_radiation"
153	!
154	! 1484 2014-10-21 10:53:05Z kanani
155	! Changes due to new module structure of the plant canopy model:
156	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
157	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
158	! control_parameters
159	!
160	! 1409 2014-05-23 12:11:32Z suehring
161	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
162	! This ensures that left-hand side fluxes are also calculated for nxl in that
163	! case, even though the solution at nxl is overwritten in boundary_conds()
164	!
165	! 1398 2014-05-07 11:15:00Z heinze
166	! Rayleigh-damping for horizontal velocity components changed: instead of damping
167	! against ug and vg, damping against u_init and v_init is used to allow for a
168	! homogenized treatment in case of nudging
169	!
170	! 1380 2014-04-28 12:40:45Z heinze
171	! Change order of calls for scalar prognostic quantities:
172	! ls_advec -> nudging -> subsidence since initial profiles
173	!
174	! 1374 2014-04-25 12:55:07Z raasch
175	! missing variables added to ONLY lists
176	!
177	! 1365 2014-04-22 15:03:56Z boeske
178	! Calls of ls_advec for large scale advection added,
179	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
180	! new argument ls_index added to the calls of subsidence
181	! +ls_index
182	!
183	! 1361 2014-04-16 15:17:48Z hoffmann
184	! Two-moment microphysics moved to the start of prognostic equations. This makes
185	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
186	! Additionally, it is allowed to call the microphysics just once during the time
187	! step (not at each sub-time step).
188	!
189	! Two-moment cloud physics added for vector and accelerator optimization.
190	!
191	! 1353 2014-04-08 15:21:23Z heinze
192	! REAL constants provided with KIND-attribute
193	!
194	! 1337 2014-03-25 15:11:48Z heinze
195	! Bugfix: REAL constants provided with KIND-attribute
196	!
197	! 1332 2014-03-25 11:59:43Z suehring
198	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
199	!
200	! 1330 2014-03-24 17:29:32Z suehring
201	! In case of SGS-particle velocity advection of TKE is also allowed with
202	! dissipative 5th-order scheme.
203	!
204	! 1320 2014-03-20 08:40:49Z raasch
205	! ONLY-attribute added to USE-statements,
206	! kind-parameters added to all INTEGER and REAL declaration statements,
207	! kinds are defined in new module kinds,
208	! old module precision_kind is removed,
209	! revision history before 2012 removed,
210	! comment fields (!:) to be used for variable explanations added to
211	! all variable declaration statements
212	!
213	! 1318 2014-03-17 13:35:16Z raasch
214	! module interfaces removed
215	!
216	! 1257 2013-11-08 15:18:40Z raasch
217	! openacc loop vector clauses removed, independent clauses added
218	!
219	! 1246 2013-11-01 08:59:45Z heinze
220	! enable nudging also for accelerator version
221	!
222	! 1241 2013-10-30 11:36:58Z heinze
223	! usage of nudging enabled (so far not implemented for accelerator version)
224	!
225	! 1179 2013-06-14 05:57:58Z raasch
226	! two arguments removed from routine buoyancy, ref_state updated on device
227	!
228	! 1128 2013-04-12 06:19:32Z raasch
229	! those parts requiring global communication moved to time_integration,
230	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
231	! j_north
232	!
233	! 1115 2013-03-26 18:16:16Z hoffmann
234	! optimized cloud physics: calculation of microphysical tendencies transfered
235	! to microphysics.f90; qr and nr are only calculated if precipitation is required
236	!
237	! 1111 2013-03-08 23:54:10Z raasch
238	! update directives for prognostic quantities removed
239	!
240	! 1106 2013-03-04 05:31:38Z raasch
241	! small changes in code formatting
242	!
243	! 1092 2013-02-02 11:24:22Z raasch
244	! unused variables removed
245	!
246	! 1053 2012-11-13 17:11:03Z hoffmann
247	! implementation of two new prognostic equations for rain drop concentration (nr)
248	! and rain water content (qr)
249	!
250	! currently, only available for cache loop optimization
251	!
252	! 1036 2012-10-22 13:43:42Z raasch
253	! code put under GPL (PALM 3.9)
254	!
255	! 1019 2012-09-28 06:46:45Z raasch
256	! non-optimized version of prognostic_equations removed
257	!
258	! 1015 2012-09-27 09:23:24Z raasch
259	! new branch prognostic_equations_acc
260	! OpenACC statements added + code changes required for GPU optimization
261	!
262	! 1001 2012-09-13 14:08:46Z raasch
263	! all actions concerning leapfrog- and upstream-spline-scheme removed
264	!
265	! 978 2012-08-09 08:28:32Z fricke
266	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
267	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
268	! boundary in case of non-cyclic lateral boundaries
269	! Bugfix: first thread index changes for WS-scheme at the inflow
270	!
271	! 940 2012-07-09 14:31:00Z raasch
272	! temperature equation can be switched off
273	!
274	! Revision 1.1 2000/04/13 14:56:27 schroeter
275	! Initial revision
276	!
277	!
278	! Description:
279	! ------------
280	!> Solving the prognostic equations.
281	!------------------------------------------------------------------------------!
282	MODULE prognostic_equations_mod
283
284
285	USE advec_s_bc_mod, &
286	ONLY: advec_s_bc
287
288	USE advec_s_pw_mod, &
289	ONLY: advec_s_pw
290
291	USE advec_s_up_mod, &
292	ONLY: advec_s_up
293
294	USE advec_u_pw_mod, &
295	ONLY: advec_u_pw
296
297	USE advec_u_up_mod, &
298	ONLY: advec_u_up
299
300	USE advec_v_pw_mod, &
301	ONLY: advec_v_pw
302
303	USE advec_v_up_mod, &
304	ONLY: advec_v_up
305
306	USE advec_w_pw_mod, &
307	ONLY: advec_w_pw
308
309	USE advec_w_up_mod, &
310	ONLY: advec_w_up
311
312	USE advec_ws, &
313	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
314
315	USE arrays_3d, &
316	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
317	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
318	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
319	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
320	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
321	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
322	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
323	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
324	ref_state, rho_ocean, s, s_init, s_p, tend, te_m, tnc_m, &
325	tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tu_m, tv_m, tw_m, u, &
326	ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
327
328	USE bulk_cloud_model_mod, &
329	ONLY: call_microphysics_at_all_substeps, bulk_cloud_model, &
330	bcm_actions, microphysics_sat_adjust, &
331	microphysics_morrison, microphysics_seifert
332
333	USE buoyancy_mod, &
334	ONLY: buoyancy
335
336	USE calc_radiation_mod, &
337	ONLY: calc_radiation
338
339	USE chemistry_model_mod, &
340	ONLY: chem_integrate, chem_species, chem_prognostic_equations, &
341	nspec, nvar, spc_names, chem_boundary_conds
342
343	USE chem_modules, &
344	ONLY: call_chem_at_all_substeps, chem_gasphase_on
345
346	USE chem_photolysis_mod, &
347	ONLY: photolysis_control
348
349	USE chem_modules, &
350	ONLY: call_chem_at_all_substeps, chem_gasphase_on, cs_name
351
352	USE control_parameters, &
353	ONLY: air_chemistry, &
354	cloud_top_radiation, constant_diffusion, &
355	dp_external, dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, &
356	humidity, intermediate_timestep_count, &
357	intermediate_timestep_count_max, large_scale_forcing, &
358	large_scale_subsidence, &
359	neutral, nudging, &
360	ocean_mode, passive_scalar, plant_canopy, pt_reference, &
361	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
362	timestep_scheme, tsc, use_subsidence_tendencies, &
363	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
364	ws_scheme_sca, urban_surface, land_surface
365
366	USE coriolis_mod, &
367	ONLY: coriolis
368
369	USE cpulog, &
370	ONLY: cpu_log, log_point, log_point_s
371
372	USE diffusion_s_mod, &
373	ONLY: diffusion_s
374
375	USE diffusion_u_mod, &
376	ONLY: diffusion_u
377
378	USE diffusion_v_mod, &
379	ONLY: diffusion_v
380
381	USE diffusion_w_mod, &
382	ONLY: diffusion_w
383
384	USE indices, &
385	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
386	nzb, nzt, wall_flags_0
387
388	USE kinds
389
390	USE lsf_nudging_mod, &
391	ONLY: ls_advec, nudge
392
393	USE ocean_mod, &
394	ONLY: eqn_state_seawater, ocean_prognostic_equations
395
396	USE plant_canopy_model_mod, &
397	ONLY: cthf, pcm_tendency
398
399	USE radiation_model_mod, &
400	ONLY: radiation, radiation_tendency, &
401	skip_time_do_radiation
402
403	USE statistics, &
404	ONLY: hom
405
406	USE subsidence_mod, &
407	ONLY: subsidence
408
409	USE surface_mod, &
410	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
411	surf_usm_v
412
413	USE turbulence_closure_mod, &
414	ONLY: tcm_prognostic
415
416	USE user_actions_mod, &
417	ONLY: user_actions
418
419	USE wind_turbine_model_mod, &
420	ONLY: wtm_tendencies
421
422
423	PRIVATE
424	PUBLIC prognostic_equations_cache, prognostic_equations_vector
425
426	INTERFACE prognostic_equations_cache
427	MODULE PROCEDURE prognostic_equations_cache
428	END INTERFACE prognostic_equations_cache
429
430	INTERFACE prognostic_equations_vector
431	MODULE PROCEDURE prognostic_equations_vector
432	END INTERFACE prognostic_equations_vector
433
434
435	CONTAINS
436
437
438	!------------------------------------------------------------------------------!
439	! Description:
440	! ------------
441	!> Version with one optimized loop over all equations. It is only allowed to
442	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
443	!>
444	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
445	!> so communication between CPUs is not allowed (does not make sense) within
446	!> these loops.
447	!>
448	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
449	!------------------------------------------------------------------------------!
450
451	SUBROUTINE prognostic_equations_cache
452
453
454	IMPLICIT NONE
455
456	INTEGER(iwp) :: i !<
457	INTEGER(iwp) :: i_omp_start !<
458	INTEGER(iwp) :: j !<
459	INTEGER(iwp) :: k !<
460	!$ INTEGER(iwp) :: omp_get_thread_num !<
461	INTEGER(iwp) :: tn = 0 !<
462
463	LOGICAL :: loop_start !<
464	INTEGER(iwp) :: n
465	INTEGER(iwp) :: lsp
466	INTEGER(iwp) :: lsp_usr !< lsp running index for chem spcs
467
468
469	!
470	!-- Time measurement can only be performed for the whole set of equations
471	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
472
473	!
474	!-- Calculation of chemical reactions. This is done outside of main loop,
475	!-- since exchange of ghost points is required after this update of the
476	!-- concentrations of chemical species
477	IF ( air_chemistry ) THEN
478	lsp_usr = 1
479	!
480	!-- If required, calculate photolysis frequencies -
481	!-- UNFINISHED: Why not before the intermediate timestep loop?
482	IF ( intermediate_timestep_count == 1 ) THEN
483	CALL photolysis_control
484	ENDIF
485	!
486	!-- Chemical reactions
487	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'start' )
488
489	IF ( chem_gasphase_on ) THEN
490	DO i = nxl, nxr
491	DO j = nys, nyn
492
493	IF ( intermediate_timestep_count == 1 .OR. &
494	call_chem_at_all_substeps ) THEN
495	CALL chem_integrate (i,j)
496	ENDIF
497	ENDDO
498	ENDDO
499	ENDIF
500	!
501	!-- Loop over chemical species
502	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'start' )
503	DO lsp = 1, nspec
504	CALL exchange_horiz( chem_species(lsp)%conc, nbgp )
505	lsp_usr = 1
506	DO WHILE ( TRIM( cs_name( lsp_usr ) ) /= 'novalue' )
507	IF ( TRIM(chem_species(lsp)%name) == TRIM(cs_name(lsp_usr)) ) THEN
508
509	CALL chem_boundary_conds( chem_species(lsp)%conc_p, &
510	chem_species(lsp)%conc_pr_init )
511
512	ENDIF
513	lsp_usr = lsp_usr +1
514	ENDDO
515
516	ENDDO
517	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'stop' )
518
519	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'stop' )
520
521	ENDIF
522
523	!
524	!-- If required, calculate cloud microphysics
525	IF ( bulk_cloud_model .AND. .NOT. microphysics_sat_adjust .AND. &
526	( intermediate_timestep_count == 1 .OR. &
527	call_microphysics_at_all_substeps ) ) &
528	THEN
529	!$OMP PARALLEL PRIVATE (i,j)
530	!$OMP DO
531	DO i = nxlg, nxrg
532	DO j = nysg, nyng
533	CALL bcm_actions( i, j )
534	ENDDO
535	ENDDO
536	!$OMP END PARALLEL
537	ENDIF
538
539	!
540	!-- Loop over all prognostic equations
541	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
542
543	!$ tn = omp_get_thread_num()
544	loop_start = .TRUE.
545
546	!$OMP DO
547	DO i = nxl, nxr
548
549	!
550	!-- Store the first loop index. It differs for each thread and is required
551	!-- later in advec_ws
552	IF ( loop_start ) THEN
553	loop_start = .FALSE.
554	i_omp_start = i
555	ENDIF
556
557	DO j = nys, nyn
558	!
559	!-- Tendency terms for u-velocity component. Please note, in case of
560	!-- non-cyclic boundary conditions the grid point i=0 is excluded from
561	!-- the prognostic equations for the u-component.
562	IF ( i >= nxlu ) THEN
563
564	tend(:,j,i) = 0.0_wp
565	IF ( timestep_scheme(1:5) == 'runge' ) THEN
566	IF ( ws_scheme_mom ) THEN
567	CALL advec_u_ws( i, j, i_omp_start, tn )
568	ELSE
569	CALL advec_u_pw( i, j )
570	ENDIF
571	ELSE
572	CALL advec_u_up( i, j )
573	ENDIF
574	CALL diffusion_u( i, j )
575	CALL coriolis( i, j, 1 )
576	IF ( sloping_surface .AND. .NOT. neutral ) THEN
577	CALL buoyancy( i, j, pt, 1 )
578	ENDIF
579
580	!
581	!-- Drag by plant canopy
582	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
583
584	!
585	!-- External pressure gradient
586	IF ( dp_external ) THEN
587	DO k = dp_level_ind_b+1, nzt
588	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
589	ENDDO
590	ENDIF
591
592	!
593	!-- Nudging
594	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
595
596	!
597	!-- Forces by wind turbines
598	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
599
600	CALL user_actions( i, j, 'u-tendency' )
601	!
602	!-- Prognostic equation for u-velocity component
603	DO k = nzb+1, nzt
604
605	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
606	( tsc(2) * tend(k,j,i) + &
607	tsc(3) * tu_m(k,j,i) ) &
608	- tsc(5) * rdf(k) &
609	* ( u(k,j,i) - u_init(k) ) &
610	) * MERGE( 1.0_wp, 0.0_wp, &
611	BTEST( wall_flags_0(k,j,i), 1 )&
612	)
613	ENDDO
614
615	!
616	!-- Calculate tendencies for the next Runge-Kutta step
617	IF ( timestep_scheme(1:5) == 'runge' ) THEN
618	IF ( intermediate_timestep_count == 1 ) THEN
619	DO k = nzb+1, nzt
620	tu_m(k,j,i) = tend(k,j,i)
621	ENDDO
622	ELSEIF ( intermediate_timestep_count < &
623	intermediate_timestep_count_max ) THEN
624	DO k = nzb+1, nzt
625	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
626	+ 5.3125_wp * tu_m(k,j,i)
627	ENDDO
628	ENDIF
629	ENDIF
630
631	ENDIF
632	!
633	!-- Tendency terms for v-velocity component. Please note, in case of
634	!-- non-cyclic boundary conditions the grid point j=0 is excluded from
635	!-- the prognostic equations for the v-component. !--
636	IF ( j >= nysv ) THEN
637
638	tend(:,j,i) = 0.0_wp
639	IF ( timestep_scheme(1:5) == 'runge' ) THEN
640	IF ( ws_scheme_mom ) THEN
641	CALL advec_v_ws( i, j, i_omp_start, tn )
642	ELSE
643	CALL advec_v_pw( i, j )
644	ENDIF
645	ELSE
646	CALL advec_v_up( i, j )
647	ENDIF
648	CALL diffusion_v( i, j )
649	CALL coriolis( i, j, 2 )
650
651	!
652	!-- Drag by plant canopy
653	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
654
655	!
656	!-- External pressure gradient
657	IF ( dp_external ) THEN
658	DO k = dp_level_ind_b+1, nzt
659	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
660	ENDDO
661	ENDIF
662
663	!
664	!-- Nudging
665	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
666
667	!
668	!-- Forces by wind turbines
669	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
670
671	CALL user_actions( i, j, 'v-tendency' )
672	!
673	!-- Prognostic equation for v-velocity component
674	DO k = nzb+1, nzt
675	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
676	( tsc(2) * tend(k,j,i) + &
677	tsc(3) * tv_m(k,j,i) ) &
678	- tsc(5) * rdf(k) &
679	* ( v(k,j,i) - v_init(k) )&
680	) * MERGE( 1.0_wp, 0.0_wp, &
681	BTEST( wall_flags_0(k,j,i), 2 )&
682	)
683	ENDDO
684
685	!
686	!-- Calculate tendencies for the next Runge-Kutta step
687	IF ( timestep_scheme(1:5) == 'runge' ) THEN
688	IF ( intermediate_timestep_count == 1 ) THEN
689	DO k = nzb+1, nzt
690	tv_m(k,j,i) = tend(k,j,i)
691	ENDDO
692	ELSEIF ( intermediate_timestep_count < &
693	intermediate_timestep_count_max ) THEN
694	DO k = nzb+1, nzt
695	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
696	+ 5.3125_wp * tv_m(k,j,i)
697	ENDDO
698	ENDIF
699	ENDIF
700
701	ENDIF
702
703	!
704	!-- Tendency terms for w-velocity component
705	tend(:,j,i) = 0.0_wp
706	IF ( timestep_scheme(1:5) == 'runge' ) THEN
707	IF ( ws_scheme_mom ) THEN
708	CALL advec_w_ws( i, j, i_omp_start, tn )
709	ELSE
710	CALL advec_w_pw( i, j )
711	END IF
712	ELSE
713	CALL advec_w_up( i, j )
714	ENDIF
715	CALL diffusion_w( i, j )
716	CALL coriolis( i, j, 3 )
717
718	IF ( .NOT. neutral ) THEN
719	IF ( ocean_mode ) THEN
720	CALL buoyancy( i, j, rho_ocean, 3 )
721	ELSE
722	IF ( .NOT. humidity ) THEN
723	CALL buoyancy( i, j, pt, 3 )
724	ELSE
725	CALL buoyancy( i, j, vpt, 3 )
726	ENDIF
727	ENDIF
728	ENDIF
729
730	!
731	!-- Drag by plant canopy
732	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
733
734	!
735	!-- Forces by wind turbines
736	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
737
738	CALL user_actions( i, j, 'w-tendency' )
739	!
740	!-- Prognostic equation for w-velocity component
741	DO k = nzb+1, nzt-1
742	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
743	( tsc(2) * tend(k,j,i) + &
744	tsc(3) * tw_m(k,j,i) ) &
745	- tsc(5) * rdf(k) * w(k,j,i) &
746	) * MERGE( 1.0_wp, 0.0_wp, &
747	BTEST( wall_flags_0(k,j,i), 3 )&
748	)
749	ENDDO
750
751	!
752	!-- Calculate tendencies for the next Runge-Kutta step
753	IF ( timestep_scheme(1:5) == 'runge' ) THEN
754	IF ( intermediate_timestep_count == 1 ) THEN
755	DO k = nzb+1, nzt-1
756	tw_m(k,j,i) = tend(k,j,i)
757	ENDDO
758	ELSEIF ( intermediate_timestep_count < &
759	intermediate_timestep_count_max ) THEN
760	DO k = nzb+1, nzt-1
761	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
762	+ 5.3125_wp * tw_m(k,j,i)
763	ENDDO
764	ENDIF
765	ENDIF
766
767	!
768	!-- If required, compute prognostic equation for potential temperature
769	IF ( .NOT. neutral ) THEN
770	!
771	!-- Tendency terms for potential temperature
772	tend(:,j,i) = 0.0_wp
773	IF ( timestep_scheme(1:5) == 'runge' ) THEN
774	IF ( ws_scheme_sca ) THEN
775	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
776	flux_l_pt, diss_l_pt, i_omp_start, tn )
777	ELSE
778	CALL advec_s_pw( i, j, pt )
779	ENDIF
780	ELSE
781	CALL advec_s_up( i, j, pt )
782	ENDIF
783	CALL diffusion_s( i, j, pt, &
784	surf_def_h(0)%shf, surf_def_h(1)%shf, &
785	surf_def_h(2)%shf, &
786	surf_lsm_h%shf, surf_usm_h%shf, &
787	surf_def_v(0)%shf, surf_def_v(1)%shf, &
788	surf_def_v(2)%shf, surf_def_v(3)%shf, &
789	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
790	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
791	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
792	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
793	!
794	!-- If required compute heating/cooling due to long wave radiation
795	!-- processes
796	IF ( cloud_top_radiation ) THEN
797	CALL calc_radiation( i, j )
798	ENDIF
799
800	!
801	!-- Consideration of heat sources within the plant canopy
802	IF ( plant_canopy .AND. &
803	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
804	CALL pcm_tendency( i, j, 4 )
805	ENDIF
806
807	!
808	!-- Large scale advection
809	IF ( large_scale_forcing ) THEN
810	CALL ls_advec( i, j, simulated_time, 'pt' )
811	ENDIF
812
813	!
814	!-- Nudging
815	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
816
817	!
818	!-- If required, compute effect of large-scale subsidence/ascent
819	IF ( large_scale_subsidence .AND. &
820	.NOT. use_subsidence_tendencies ) THEN
821	CALL subsidence( i, j, tend, pt, pt_init, 2 )
822	ENDIF
823
824	!
825	!-- If required, add tendency due to radiative heating/cooling
826	IF ( radiation .AND. &
827	simulated_time > skip_time_do_radiation ) THEN
828	CALL radiation_tendency ( i, j, tend )
829	ENDIF
830
831
832	CALL user_actions( i, j, 'pt-tendency' )
833	!
834	!-- Prognostic equation for potential temperature
835	DO k = nzb+1, nzt
836	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
837	( tsc(2) * tend(k,j,i) + &
838	tsc(3) * tpt_m(k,j,i) ) &
839	- tsc(5) &
840	* ( pt(k,j,i) - pt_init(k) ) &
841	* ( rdf_sc(k) + ptdf_x(i) &
842	+ ptdf_y(j) ) &
843	) &
844	* MERGE( 1.0_wp, 0.0_wp, &
845	BTEST( wall_flags_0(k,j,i), 0 )&
846	)
847	ENDDO
848
849	!
850	!-- Calculate tendencies for the next Runge-Kutta step
851	IF ( timestep_scheme(1:5) == 'runge' ) THEN
852	IF ( intermediate_timestep_count == 1 ) THEN
853	DO k = nzb+1, nzt
854	tpt_m(k,j,i) = tend(k,j,i)
855	ENDDO
856	ELSEIF ( intermediate_timestep_count < &
857	intermediate_timestep_count_max ) THEN
858	DO k = nzb+1, nzt
859	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
860	5.3125_wp * tpt_m(k,j,i)
861	ENDDO
862	ENDIF
863	ENDIF
864
865	ENDIF
866
867	!
868	!-- If required, compute prognostic equation for total water content
869	IF ( humidity ) THEN
870
871	!
872	!-- Tendency-terms for total water content / scalar
873	tend(:,j,i) = 0.0_wp
874	IF ( timestep_scheme(1:5) == 'runge' ) &
875	THEN
876	IF ( ws_scheme_sca ) THEN
877	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
878	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
879	ELSE
880	CALL advec_s_pw( i, j, q )
881	ENDIF
882	ELSE
883	CALL advec_s_up( i, j, q )
884	ENDIF
885	CALL diffusion_s( i, j, q, &
886	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
887	surf_def_h(2)%qsws, &
888	surf_lsm_h%qsws, surf_usm_h%qsws, &
889	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
890	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
891	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
892	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
893	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
894	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
895
896	!
897	!-- Sink or source of humidity due to canopy elements
898	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
899
900	!
901	!-- Large scale advection
902	IF ( large_scale_forcing ) THEN
903	CALL ls_advec( i, j, simulated_time, 'q' )
904	ENDIF
905
906	!
907	!-- Nudging
908	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
909
910	!
911	!-- If required compute influence of large-scale subsidence/ascent
912	IF ( large_scale_subsidence .AND. &
913	.NOT. use_subsidence_tendencies ) THEN
914	CALL subsidence( i, j, tend, q, q_init, 3 )
915	ENDIF
916
917	CALL user_actions( i, j, 'q-tendency' )
918
919	!
920	!-- Prognostic equation for total water content / scalar
921	DO k = nzb+1, nzt
922	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
923	( tsc(2) * tend(k,j,i) + &
924	tsc(3) * tq_m(k,j,i) ) &
925	- tsc(5) * rdf_sc(k) * &
926	( q(k,j,i) - q_init(k) ) &
927	) &
928	* MERGE( 1.0_wp, 0.0_wp, &
929	BTEST( wall_flags_0(k,j,i), 0 )&
930	)
931	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
932	ENDDO
933
934	!
935	!-- Calculate tendencies for the next Runge-Kutta step
936	IF ( timestep_scheme(1:5) == 'runge' ) THEN
937	IF ( intermediate_timestep_count == 1 ) THEN
938	DO k = nzb+1, nzt
939	tq_m(k,j,i) = tend(k,j,i)
940	ENDDO
941	ELSEIF ( intermediate_timestep_count < &
942	intermediate_timestep_count_max ) THEN
943	DO k = nzb+1, nzt
944	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
945	5.3125_wp * tq_m(k,j,i)
946	ENDDO
947	ENDIF
948	ENDIF
949
950	!
951	!-- If required, calculate prognostic equations for cloud water content
952	!-- and cloud drop concentration
953	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
954	!
955	!-- Calculate prognostic equation for cloud water content
956	tend(:,j,i) = 0.0_wp
957	IF ( timestep_scheme(1:5) == 'runge' ) &
958	THEN
959	IF ( ws_scheme_sca ) THEN
960	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
961	diss_s_qc, flux_l_qc, diss_l_qc, &
962	i_omp_start, tn )
963	ELSE
964	CALL advec_s_pw( i, j, qc )
965	ENDIF
966	ELSE
967	CALL advec_s_up( i, j, qc )
968	ENDIF
969	CALL diffusion_s( i, j, qc, &
970	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
971	surf_def_h(2)%qcsws, &
972	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
973	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
974	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
975	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
976	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
977	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
978	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
979
980	!
981	!-- Prognostic equation for cloud water content
982	DO k = nzb+1, nzt
983	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
984	( tsc(2) * tend(k,j,i) + &
985	tsc(3) * tqc_m(k,j,i) )&
986	- tsc(5) * rdf_sc(k) &
987	* qc(k,j,i) &
988	) &
989	* MERGE( 1.0_wp, 0.0_wp, &
990	BTEST( wall_flags_0(k,j,i), 0 )&
991	)
992	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
993	ENDDO
994	!
995	!-- Calculate tendencies for the next Runge-Kutta step
996	IF ( timestep_scheme(1:5) == 'runge' ) THEN
997	IF ( intermediate_timestep_count == 1 ) THEN
998	DO k = nzb+1, nzt
999	tqc_m(k,j,i) = tend(k,j,i)
1000	ENDDO
1001	ELSEIF ( intermediate_timestep_count < &
1002	intermediate_timestep_count_max ) THEN
1003	DO k = nzb+1, nzt
1004	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1005	5.3125_wp * tqc_m(k,j,i)
1006	ENDDO
1007	ENDIF
1008	ENDIF
1009
1010	!
1011	!-- Calculate prognostic equation for cloud drop concentration.
1012	tend(:,j,i) = 0.0_wp
1013	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1014	IF ( ws_scheme_sca ) THEN
1015	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
1016	diss_s_nc, flux_l_nc, diss_l_nc, &
1017	i_omp_start, tn )
1018	ELSE
1019	CALL advec_s_pw( i, j, nc )
1020	ENDIF
1021	ELSE
1022	CALL advec_s_up( i, j, nc )
1023	ENDIF
1024	CALL diffusion_s( i, j, nc, &
1025	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
1026	surf_def_h(2)%ncsws, &
1027	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
1028	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
1029	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
1030	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
1031	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
1032	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
1033	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
1034
1035	!
1036	!-- Prognostic equation for cloud drop concentration
1037	DO k = nzb+1, nzt
1038	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
1039	( tsc(2) * tend(k,j,i) + &
1040	tsc(3) * tnc_m(k,j,i) )&
1041	- tsc(5) * rdf_sc(k) &
1042	* nc(k,j,i) &
1043	) &
1044	* MERGE( 1.0_wp, 0.0_wp, &
1045	BTEST( wall_flags_0(k,j,i), 0 )&
1046	)
1047	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
1048	ENDDO
1049	!
1050	!-- Calculate tendencies for the next Runge-Kutta step
1051	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1052	IF ( intermediate_timestep_count == 1 ) THEN
1053	DO k = nzb+1, nzt
1054	tnc_m(k,j,i) = tend(k,j,i)
1055	ENDDO
1056	ELSEIF ( intermediate_timestep_count < &
1057	intermediate_timestep_count_max ) THEN
1058	DO k = nzb+1, nzt
1059	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1060	5.3125_wp * tnc_m(k,j,i)
1061	ENDDO
1062	ENDIF
1063	ENDIF
1064
1065	ENDIF
1066	!
1067	!-- If required, calculate prognostic equations for rain water content
1068	!-- and rain drop concentration
1069	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
1070	!
1071	!-- Calculate prognostic equation for rain water content
1072	tend(:,j,i) = 0.0_wp
1073	IF ( timestep_scheme(1:5) == 'runge' ) &
1074	THEN
1075	IF ( ws_scheme_sca ) THEN
1076	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
1077	diss_s_qr, flux_l_qr, diss_l_qr, &
1078	i_omp_start, tn )
1079	ELSE
1080	CALL advec_s_pw( i, j, qr )
1081	ENDIF
1082	ELSE
1083	CALL advec_s_up( i, j, qr )
1084	ENDIF
1085	CALL diffusion_s( i, j, qr, &
1086	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
1087	surf_def_h(2)%qrsws, &
1088	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
1089	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
1090	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
1091	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
1092	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
1093	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
1094	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
1095
1096	!
1097	!-- Prognostic equation for rain water content
1098	DO k = nzb+1, nzt
1099	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
1100	( tsc(2) * tend(k,j,i) + &
1101	tsc(3) * tqr_m(k,j,i) )&
1102	- tsc(5) * rdf_sc(k) &
1103	* qr(k,j,i) &
1104	) &
1105	* MERGE( 1.0_wp, 0.0_wp, &
1106	BTEST( wall_flags_0(k,j,i), 0 )&
1107	)
1108	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
1109	ENDDO
1110	!
1111	!-- Calculate tendencies for the next Runge-Kutta step
1112	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1113	IF ( intermediate_timestep_count == 1 ) THEN
1114	DO k = nzb+1, nzt
1115	tqr_m(k,j,i) = tend(k,j,i)
1116	ENDDO
1117	ELSEIF ( intermediate_timestep_count < &
1118	intermediate_timestep_count_max ) THEN
1119	DO k = nzb+1, nzt
1120	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1121	5.3125_wp * tqr_m(k,j,i)
1122	ENDDO
1123	ENDIF
1124	ENDIF
1125
1126	!
1127	!-- Calculate prognostic equation for rain drop concentration.
1128	tend(:,j,i) = 0.0_wp
1129	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1130	IF ( ws_scheme_sca ) THEN
1131	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
1132	diss_s_nr, flux_l_nr, diss_l_nr, &
1133	i_omp_start, tn )
1134	ELSE
1135	CALL advec_s_pw( i, j, nr )
1136	ENDIF
1137	ELSE
1138	CALL advec_s_up( i, j, nr )
1139	ENDIF
1140	CALL diffusion_s( i, j, nr, &
1141	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
1142	surf_def_h(2)%nrsws, &
1143	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
1144	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
1145	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
1146	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
1147	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
1148	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
1149	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
1150
1151	!
1152	!-- Prognostic equation for rain drop concentration
1153	DO k = nzb+1, nzt
1154	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
1155	( tsc(2) * tend(k,j,i) + &
1156	tsc(3) * tnr_m(k,j,i) )&
1157	- tsc(5) * rdf_sc(k) &
1158	* nr(k,j,i) &
1159	) &
1160	* MERGE( 1.0_wp, 0.0_wp, &
1161	BTEST( wall_flags_0(k,j,i), 0 )&
1162	)
1163	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
1164	ENDDO
1165	!
1166	!-- Calculate tendencies for the next Runge-Kutta step
1167	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1168	IF ( intermediate_timestep_count == 1 ) THEN
1169	DO k = nzb+1, nzt
1170	tnr_m(k,j,i) = tend(k,j,i)
1171	ENDDO
1172	ELSEIF ( intermediate_timestep_count < &
1173	intermediate_timestep_count_max ) THEN
1174	DO k = nzb+1, nzt
1175	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1176	5.3125_wp * tnr_m(k,j,i)
1177	ENDDO
1178	ENDIF
1179	ENDIF
1180
1181	ENDIF
1182
1183	ENDIF
1184
1185	!
1186	!-- If required, compute prognostic equation for scalar
1187	IF ( passive_scalar ) THEN
1188	!
1189	!-- Tendency-terms for total water content / scalar
1190	tend(:,j,i) = 0.0_wp
1191	IF ( timestep_scheme(1:5) == 'runge' ) &
1192	THEN
1193	IF ( ws_scheme_sca ) THEN
1194	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
1195	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
1196	ELSE
1197	CALL advec_s_pw( i, j, s )
1198	ENDIF
1199	ELSE
1200	CALL advec_s_up( i, j, s )
1201	ENDIF
1202	CALL diffusion_s( i, j, s, &
1203	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
1204	surf_def_h(2)%ssws, &
1205	surf_lsm_h%ssws, surf_usm_h%ssws, &
1206	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
1207	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
1208	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
1209	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
1210	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
1211	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
1212
1213	!
1214	!-- Sink or source of scalar concentration due to canopy elements
1215	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
1216
1217	!
1218	!-- Large scale advection, still need to be extended for scalars
1219	! IF ( large_scale_forcing ) THEN
1220	! CALL ls_advec( i, j, simulated_time, 's' )
1221	! ENDIF
1222
1223	!
1224	!-- Nudging, still need to be extended for scalars
1225	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
1226
1227	!
1228	!-- If required compute influence of large-scale subsidence/ascent.
1229	!-- Note, the last argument is of no meaning in this case, as it is
1230	!-- only used in conjunction with large_scale_forcing, which is to
1231	!-- date not implemented for scalars.
1232	IF ( large_scale_subsidence .AND. &
1233	.NOT. use_subsidence_tendencies .AND. &
1234	.NOT. large_scale_forcing ) THEN
1235	CALL subsidence( i, j, tend, s, s_init, 3 )
1236	ENDIF
1237
1238	CALL user_actions( i, j, 's-tendency' )
1239
1240	!
1241	!-- Prognostic equation for scalar
1242	DO k = nzb+1, nzt
1243	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
1244	( tsc(2) * tend(k,j,i) + &
1245	tsc(3) * ts_m(k,j,i) ) &
1246	- tsc(5) * rdf_sc(k) &
1247	* ( s(k,j,i) - s_init(k) )&
1248	) &
1249	* MERGE( 1.0_wp, 0.0_wp, &
1250	BTEST( wall_flags_0(k,j,i), 0 )&
1251	)
1252	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
1253	ENDDO
1254
1255	!
1256	!-- Calculate tendencies for the next Runge-Kutta step
1257	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1258	IF ( intermediate_timestep_count == 1 ) THEN
1259	DO k = nzb+1, nzt
1260	ts_m(k,j,i) = tend(k,j,i)
1261	ENDDO
1262	ELSEIF ( intermediate_timestep_count < &
1263	intermediate_timestep_count_max ) THEN
1264	DO k = nzb+1, nzt
1265	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1266	5.3125_wp * ts_m(k,j,i)
1267	ENDDO
1268	ENDIF
1269	ENDIF
1270
1271	ENDIF
1272	!
1273	!-- Calculate prognostic equations for turbulence closure
1274	CALL tcm_prognostic( i, j, i_omp_start, tn )
1275
1276	!
1277	!-- Calculate prognostic equation for chemical quantites
1278	IF ( air_chemistry ) THEN
1279	!> TODO: remove time measurement since it slows down performance because it will be called extremely often
1280	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
1281	!
1282	!-- Loop over chemical species
1283	DO lsp = 1, nvar
1284	CALL chem_prognostic_equations( chem_species(lsp)%conc_p, &
1285	chem_species(lsp)%conc, &
1286	chem_species(lsp)%tconc_m, &
1287	chem_species(lsp)%conc_pr_init, &
1288	i, j, i_omp_start, tn, lsp, &
1289	chem_species(lsp)%flux_s_cs, &
1290	chem_species(lsp)%diss_s_cs, &
1291	chem_species(lsp)%flux_l_cs, &
1292	chem_species(lsp)%diss_l_cs )
1293	ENDDO
1294
1295	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
1296	ENDIF ! Chemical equations
1297	!
1298	!-- Calculate prognostic equations for the ocean
1299	IF ( ocean_mode ) THEN
1300	CALL ocean_prognostic_equations( i, j, i_omp_start, tn )
1301	ENDIF
1302
1303	ENDDO ! loop over j
1304	ENDDO ! loop over i
1305	!$OMP END PARALLEL
1306
1307
1308	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
1309
1310
1311	END SUBROUTINE prognostic_equations_cache
1312
1313
1314	!------------------------------------------------------------------------------!
1315	! Description:
1316	! ------------
1317	!> Version for vector machines
1318	!------------------------------------------------------------------------------!
1319
1320	SUBROUTINE prognostic_equations_vector
1321
1322
1323	IMPLICIT NONE
1324
1325	INTEGER(iwp) :: i !<
1326	INTEGER(iwp) :: j !<
1327	INTEGER(iwp) :: k !<
1328	INTEGER(iwp) :: lsp !< running index for chemical species
1329
1330	REAL(wp) :: sbt !<
1331
1332
1333	!
1334	!-- If required, calculate cloud microphysical impacts
1335	IF ( bulk_cloud_model .AND. .NOT. microphysics_sat_adjust .AND. &
1336	( intermediate_timestep_count == 1 .OR. &
1337	call_microphysics_at_all_substeps ) &
1338	) THEN
1339	CALL cpu_log( log_point(51), 'microphysics', 'start' )
1340	CALL bcm_actions
1341	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
1342	ENDIF
1343
1344	!
1345	!-- u-velocity component
1346	CALL cpu_log( log_point(5), 'u-equation', 'start' )
1347
1348	tend = 0.0_wp
1349	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1350	IF ( ws_scheme_mom ) THEN
1351	CALL advec_u_ws
1352	ELSE
1353	CALL advec_u_pw
1354	ENDIF
1355	ELSE
1356	CALL advec_u_up
1357	ENDIF
1358	CALL diffusion_u
1359	CALL coriolis( 1 )
1360	IF ( sloping_surface .AND. .NOT. neutral ) THEN
1361	CALL buoyancy( pt, 1 )
1362	ENDIF
1363
1364	!
1365	!-- Drag by plant canopy
1366	IF ( plant_canopy ) CALL pcm_tendency( 1 )
1367
1368	!
1369	!-- External pressure gradient
1370	IF ( dp_external ) THEN
1371	DO i = nxlu, nxr
1372	DO j = nys, nyn
1373	DO k = dp_level_ind_b+1, nzt
1374	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
1375	ENDDO
1376	ENDDO
1377	ENDDO
1378	ENDIF
1379
1380	!
1381	!-- Nudging
1382	IF ( nudging ) CALL nudge( simulated_time, 'u' )
1383
1384	!
1385	!-- Forces by wind turbines
1386	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
1387
1388	CALL user_actions( 'u-tendency' )
1389
1390	!
1391	!-- Prognostic equation for u-velocity component
1392	DO i = nxlu, nxr
1393	DO j = nys, nyn
1394	DO k = nzb+1, nzt
1395	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1396	tsc(3) * tu_m(k,j,i) ) &
1397	- tsc(5) * rdf(k) * &
1398	( u(k,j,i) - u_init(k) ) &
1399	) * MERGE( 1.0_wp, 0.0_wp, &
1400	BTEST( wall_flags_0(k,j,i), 1 ) &
1401	)
1402	ENDDO
1403	ENDDO
1404	ENDDO
1405
1406	!
1407	!-- Calculate tendencies for the next Runge-Kutta step
1408	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1409	IF ( intermediate_timestep_count == 1 ) THEN
1410	DO i = nxlu, nxr
1411	DO j = nys, nyn
1412	DO k = nzb+1, nzt
1413	tu_m(k,j,i) = tend(k,j,i)
1414	ENDDO
1415	ENDDO
1416	ENDDO
1417	ELSEIF ( intermediate_timestep_count < &
1418	intermediate_timestep_count_max ) THEN
1419	DO i = nxlu, nxr
1420	DO j = nys, nyn
1421	DO k = nzb+1, nzt
1422	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1423	+ 5.3125_wp * tu_m(k,j,i)
1424	ENDDO
1425	ENDDO
1426	ENDDO
1427	ENDIF
1428	ENDIF
1429
1430	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
1431
1432	!
1433	!-- v-velocity component
1434	CALL cpu_log( log_point(6), 'v-equation', 'start' )
1435
1436	tend = 0.0_wp
1437	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1438	IF ( ws_scheme_mom ) THEN
1439	CALL advec_v_ws
1440	ELSE
1441	CALL advec_v_pw
1442	END IF
1443	ELSE
1444	CALL advec_v_up
1445	ENDIF
1446	CALL diffusion_v
1447	CALL coriolis( 2 )
1448
1449	!
1450	!-- Drag by plant canopy
1451	IF ( plant_canopy ) CALL pcm_tendency( 2 )
1452
1453	!
1454	!-- External pressure gradient
1455	IF ( dp_external ) THEN
1456	DO i = nxl, nxr
1457	DO j = nysv, nyn
1458	DO k = dp_level_ind_b+1, nzt
1459	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
1460	ENDDO
1461	ENDDO
1462	ENDDO
1463	ENDIF
1464
1465	!
1466	!-- Nudging
1467	IF ( nudging ) CALL nudge( simulated_time, 'v' )
1468
1469	!
1470	!-- Forces by wind turbines
1471	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
1472
1473	CALL user_actions( 'v-tendency' )
1474
1475	!
1476	!-- Prognostic equation for v-velocity component
1477	DO i = nxl, nxr
1478	DO j = nysv, nyn
1479	DO k = nzb+1, nzt
1480	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1481	tsc(3) * tv_m(k,j,i) ) &
1482	- tsc(5) * rdf(k) * &
1483	( v(k,j,i) - v_init(k) ) &
1484	) * MERGE( 1.0_wp, 0.0_wp, &
1485	BTEST( wall_flags_0(k,j,i), 2 )&
1486	)
1487	ENDDO
1488	ENDDO
1489	ENDDO
1490
1491	!
1492	!-- Calculate tendencies for the next Runge-Kutta step
1493	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1494	IF ( intermediate_timestep_count == 1 ) THEN
1495	DO i = nxl, nxr
1496	DO j = nysv, nyn
1497	DO k = nzb+1, nzt
1498	tv_m(k,j,i) = tend(k,j,i)
1499	ENDDO
1500	ENDDO
1501	ENDDO
1502	ELSEIF ( intermediate_timestep_count < &
1503	intermediate_timestep_count_max ) THEN
1504	DO i = nxl, nxr
1505	DO j = nysv, nyn
1506	DO k = nzb+1, nzt
1507	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1508	+ 5.3125_wp * tv_m(k,j,i)
1509	ENDDO
1510	ENDDO
1511	ENDDO
1512	ENDIF
1513	ENDIF
1514
1515	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
1516
1517	!
1518	!-- w-velocity component
1519	CALL cpu_log( log_point(7), 'w-equation', 'start' )
1520
1521	tend = 0.0_wp
1522	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1523	IF ( ws_scheme_mom ) THEN
1524	CALL advec_w_ws
1525	ELSE
1526	CALL advec_w_pw
1527	ENDIF
1528	ELSE
1529	CALL advec_w_up
1530	ENDIF
1531	CALL diffusion_w
1532	CALL coriolis( 3 )
1533
1534	IF ( .NOT. neutral ) THEN
1535	IF ( ocean_mode ) THEN
1536	CALL buoyancy( rho_ocean, 3 )
1537	ELSE
1538	IF ( .NOT. humidity ) THEN
1539	CALL buoyancy( pt, 3 )
1540	ELSE
1541	CALL buoyancy( vpt, 3 )
1542	ENDIF
1543	ENDIF
1544	ENDIF
1545
1546	!
1547	!-- Drag by plant canopy
1548	IF ( plant_canopy ) CALL pcm_tendency( 3 )
1549
1550	!
1551	!-- Forces by wind turbines
1552	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
1553
1554	CALL user_actions( 'w-tendency' )
1555
1556	!
1557	!-- Prognostic equation for w-velocity component
1558	DO i = nxl, nxr
1559	DO j = nys, nyn
1560	DO k = nzb+1, nzt-1
1561	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1562	tsc(3) * tw_m(k,j,i) ) &
1563	- tsc(5) * rdf(k) * w(k,j,i) &
1564	) * MERGE( 1.0_wp, 0.0_wp, &
1565	BTEST( wall_flags_0(k,j,i), 3 )&
1566	)
1567	ENDDO
1568	ENDDO
1569	ENDDO
1570
1571	!
1572	!-- Calculate tendencies for the next Runge-Kutta step
1573	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1574	IF ( intermediate_timestep_count == 1 ) THEN
1575	DO i = nxl, nxr
1576	DO j = nys, nyn
1577	DO k = nzb+1, nzt-1
1578	tw_m(k,j,i) = tend(k,j,i)
1579	ENDDO
1580	ENDDO
1581	ENDDO
1582	ELSEIF ( intermediate_timestep_count < &
1583	intermediate_timestep_count_max ) THEN
1584	DO i = nxl, nxr
1585	DO j = nys, nyn
1586	DO k = nzb+1, nzt-1
1587	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1588	+ 5.3125_wp * tw_m(k,j,i)
1589	ENDDO
1590	ENDDO
1591	ENDDO
1592	ENDIF
1593	ENDIF
1594
1595	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
1596
1597
1598	!
1599	!-- If required, compute prognostic equation for potential temperature
1600	IF ( .NOT. neutral ) THEN
1601
1602	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
1603
1604	!
1605	!-- pt-tendency terms with communication
1606	sbt = tsc(2)
1607	IF ( scalar_advec == 'bc-scheme' ) THEN
1608
1609	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1610	!
1611	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1612	sbt = 1.0_wp
1613	ENDIF
1614	tend = 0.0_wp
1615	CALL advec_s_bc( pt, 'pt' )
1616
1617	ENDIF
1618
1619	!
1620	!-- pt-tendency terms with no communication
1621	IF ( scalar_advec /= 'bc-scheme' ) THEN
1622	tend = 0.0_wp
1623	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1624	IF ( ws_scheme_sca ) THEN
1625	CALL advec_s_ws( pt, 'pt' )
1626	ELSE
1627	CALL advec_s_pw( pt )
1628	ENDIF
1629	ELSE
1630	CALL advec_s_up( pt )
1631	ENDIF
1632	ENDIF
1633
1634	CALL diffusion_s( pt, &
1635	surf_def_h(0)%shf, surf_def_h(1)%shf, &
1636	surf_def_h(2)%shf, &
1637	surf_lsm_h%shf, surf_usm_h%shf, &
1638	surf_def_v(0)%shf, surf_def_v(1)%shf, &
1639	surf_def_v(2)%shf, surf_def_v(3)%shf, &
1640	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
1641	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
1642	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
1643	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
1644	!
1645	!-- If required compute heating/cooling due to long wave radiation processes
1646	IF ( cloud_top_radiation ) THEN
1647	CALL calc_radiation
1648	ENDIF
1649
1650	!
1651	!-- Consideration of heat sources within the plant canopy
1652	IF ( plant_canopy .AND. &
1653	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
1654	CALL pcm_tendency( 4 )
1655	ENDIF
1656
1657	!
1658	!-- Large scale advection
1659	IF ( large_scale_forcing ) THEN
1660	CALL ls_advec( simulated_time, 'pt' )
1661	ENDIF
1662
1663	!
1664	!-- Nudging
1665	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
1666
1667	!
1668	!-- If required compute influence of large-scale subsidence/ascent
1669	IF ( large_scale_subsidence .AND. &
1670	.NOT. use_subsidence_tendencies ) THEN
1671	CALL subsidence( tend, pt, pt_init, 2 )
1672	ENDIF
1673
1674	!
1675	!-- If required, add tendency due to radiative heating/cooling
1676	IF ( radiation .AND. &
1677	simulated_time > skip_time_do_radiation ) THEN
1678	CALL radiation_tendency ( tend )
1679	ENDIF
1680
1681	CALL user_actions( 'pt-tendency' )
1682
1683	!
1684	!-- Prognostic equation for potential temperature
1685	DO i = nxl, nxr
1686	DO j = nys, nyn
1687	DO k = nzb+1, nzt
1688	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1689	tsc(3) * tpt_m(k,j,i) ) &
1690	- tsc(5) * &
1691	( pt(k,j,i) - pt_init(k) ) *&
1692	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
1693	) &
1694	* MERGE( 1.0_wp, 0.0_wp, &
1695	BTEST( wall_flags_0(k,j,i), 0 ) &
1696	)
1697	ENDDO
1698	ENDDO
1699	ENDDO
1700	!
1701	!-- Calculate tendencies for the next Runge-Kutta step
1702	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1703	IF ( intermediate_timestep_count == 1 ) THEN
1704	DO i = nxl, nxr
1705	DO j = nys, nyn
1706	DO k = nzb+1, nzt
1707	tpt_m(k,j,i) = tend(k,j,i)
1708	ENDDO
1709	ENDDO
1710	ENDDO
1711	ELSEIF ( intermediate_timestep_count < &
1712	intermediate_timestep_count_max ) THEN
1713	DO i = nxl, nxr
1714	DO j = nys, nyn
1715	DO k = nzb+1, nzt
1716	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1717	5.3125_wp * tpt_m(k,j,i)
1718	ENDDO
1719	ENDDO
1720	ENDDO
1721	ENDIF
1722	ENDIF
1723
1724	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
1725
1726	ENDIF
1727
1728	!
1729	!-- If required, compute prognostic equation for total water content
1730	IF ( humidity ) THEN
1731
1732	CALL cpu_log( log_point(29), 'q-equation', 'start' )
1733
1734	!
1735	!-- Scalar/q-tendency terms with communication
1736	sbt = tsc(2)
1737	IF ( scalar_advec == 'bc-scheme' ) THEN
1738
1739	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1740	!
1741	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1742	sbt = 1.0_wp
1743	ENDIF
1744	tend = 0.0_wp
1745	CALL advec_s_bc( q, 'q' )
1746
1747	ENDIF
1748
1749	!
1750	!-- Scalar/q-tendency terms with no communication
1751	IF ( scalar_advec /= 'bc-scheme' ) THEN
1752	tend = 0.0_wp
1753	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1754	IF ( ws_scheme_sca ) THEN
1755	CALL advec_s_ws( q, 'q' )
1756	ELSE
1757	CALL advec_s_pw( q )
1758	ENDIF
1759	ELSE
1760	CALL advec_s_up( q )
1761	ENDIF
1762	ENDIF
1763
1764	CALL diffusion_s( q, &
1765	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
1766	surf_def_h(2)%qsws, &
1767	surf_lsm_h%qsws, surf_usm_h%qsws, &
1768	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
1769	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
1770	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
1771	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
1772	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
1773	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
1774
1775	!
1776	!-- Sink or source of humidity due to canopy elements
1777	IF ( plant_canopy ) CALL pcm_tendency( 5 )
1778
1779	!
1780	!-- Large scale advection
1781	IF ( large_scale_forcing ) THEN
1782	CALL ls_advec( simulated_time, 'q' )
1783	ENDIF
1784
1785	!
1786	!-- Nudging
1787	IF ( nudging ) CALL nudge( simulated_time, 'q' )
1788
1789	!
1790	!-- If required compute influence of large-scale subsidence/ascent
1791	IF ( large_scale_subsidence .AND. &
1792	.NOT. use_subsidence_tendencies ) THEN
1793	CALL subsidence( tend, q, q_init, 3 )
1794	ENDIF
1795
1796	CALL user_actions( 'q-tendency' )
1797
1798	!
1799	!-- Prognostic equation for total water content
1800	DO i = nxl, nxr
1801	DO j = nys, nyn
1802	DO k = nzb+1, nzt
1803	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1804	tsc(3) * tq_m(k,j,i) ) &
1805	- tsc(5) * rdf_sc(k) * &
1806	( q(k,j,i) - q_init(k) ) &
1807	) * MERGE( 1.0_wp, 0.0_wp, &
1808	BTEST( wall_flags_0(k,j,i), 0 ) &
1809	)
1810	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
1811	ENDDO
1812	ENDDO
1813	ENDDO
1814
1815	!
1816	!-- Calculate tendencies for the next Runge-Kutta step
1817	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1818	IF ( intermediate_timestep_count == 1 ) THEN
1819	DO i = nxl, nxr
1820	DO j = nys, nyn
1821	DO k = nzb+1, nzt
1822	tq_m(k,j,i) = tend(k,j,i)
1823	ENDDO
1824	ENDDO
1825	ENDDO
1826	ELSEIF ( intermediate_timestep_count < &
1827	intermediate_timestep_count_max ) THEN
1828	DO i = nxl, nxr
1829	DO j = nys, nyn
1830	DO k = nzb+1, nzt
1831	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1832	+ 5.3125_wp * tq_m(k,j,i)
1833	ENDDO
1834	ENDDO
1835	ENDDO
1836	ENDIF
1837	ENDIF
1838
1839	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
1840
1841	!
1842	!-- If required, calculate prognostic equations for cloud water content
1843	!-- and cloud drop concentration
1844	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
1845
1846	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
1847
1848	!
1849	!-- Calculate prognostic equation for cloud water content
1850	sbt = tsc(2)
1851	IF ( scalar_advec == 'bc-scheme' ) THEN
1852
1853	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1854	!
1855	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1856	sbt = 1.0_wp
1857	ENDIF
1858	tend = 0.0_wp
1859	CALL advec_s_bc( qc, 'qc' )
1860
1861	ENDIF
1862
1863	!
1864	!-- qc-tendency terms with no communication
1865	IF ( scalar_advec /= 'bc-scheme' ) THEN
1866	tend = 0.0_wp
1867	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1868	IF ( ws_scheme_sca ) THEN
1869	CALL advec_s_ws( qc, 'qc' )
1870	ELSE
1871	CALL advec_s_pw( qc )
1872	ENDIF
1873	ELSE
1874	CALL advec_s_up( qc )
1875	ENDIF
1876	ENDIF
1877
1878	CALL diffusion_s( qc, &
1879	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
1880	surf_def_h(2)%qcsws, &
1881	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
1882	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
1883	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
1884	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
1885	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
1886	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
1887	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
1888
1889	!
1890	!-- Prognostic equation for cloud water content
1891	DO i = nxl, nxr
1892	DO j = nys, nyn
1893	DO k = nzb+1, nzt
1894	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1895	tsc(3) * tqc_m(k,j,i) ) &
1896	- tsc(5) * rdf_sc(k) * &
1897	qc(k,j,i) &
1898	) &
1899	* MERGE( 1.0_wp, 0.0_wp, &
1900	BTEST( wall_flags_0(k,j,i), 0 ) &
1901	)
1902	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
1903	ENDDO
1904	ENDDO
1905	ENDDO
1906
1907	!
1908	!-- Calculate tendencies for the next Runge-Kutta step
1909	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1910	IF ( intermediate_timestep_count == 1 ) THEN
1911	DO i = nxl, nxr
1912	DO j = nys, nyn
1913	DO k = nzb+1, nzt
1914	tqc_m(k,j,i) = tend(k,j,i)
1915	ENDDO
1916	ENDDO
1917	ENDDO
1918	ELSEIF ( intermediate_timestep_count < &
1919	intermediate_timestep_count_max ) THEN
1920	DO i = nxl, nxr
1921	DO j = nys, nyn
1922	DO k = nzb+1, nzt
1923	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1924	+ 5.3125_wp * tqc_m(k,j,i)
1925	ENDDO
1926	ENDDO
1927	ENDDO
1928	ENDIF
1929	ENDIF
1930
1931	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
1932
1933	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
1934	!
1935	!-- Calculate prognostic equation for cloud drop concentration
1936	sbt = tsc(2)
1937	IF ( scalar_advec == 'bc-scheme' ) THEN
1938
1939	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1940	!
1941	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1942	sbt = 1.0_wp
1943	ENDIF
1944	tend = 0.0_wp
1945	CALL advec_s_bc( nc, 'nc' )
1946
1947	ENDIF
1948
1949	!
1950	!-- nc-tendency terms with no communication
1951	IF ( scalar_advec /= 'bc-scheme' ) THEN
1952	tend = 0.0_wp
1953	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1954	IF ( ws_scheme_sca ) THEN
1955	CALL advec_s_ws( nc, 'nc' )
1956	ELSE
1957	CALL advec_s_pw( nc )
1958	ENDIF
1959	ELSE
1960	CALL advec_s_up( nc )
1961	ENDIF
1962	ENDIF
1963
1964	CALL diffusion_s( nc, &
1965	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
1966	surf_def_h(2)%ncsws, &
1967	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
1968	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
1969	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
1970	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
1971	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
1972	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
1973	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
1974
1975	!
1976	!-- Prognostic equation for cloud drop concentration
1977	DO i = nxl, nxr
1978	DO j = nys, nyn
1979	DO k = nzb+1, nzt
1980	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1981	tsc(3) * tnc_m(k,j,i) ) &
1982	- tsc(5) * rdf_sc(k) * &
1983	nc(k,j,i) &
1984	) &
1985	* MERGE( 1.0_wp, 0.0_wp, &
1986	BTEST( wall_flags_0(k,j,i), 0 ) &
1987	)
1988	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
1989	ENDDO
1990	ENDDO
1991	ENDDO
1992
1993	!
1994	!-- Calculate tendencies for the next Runge-Kutta step
1995	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1996	IF ( intermediate_timestep_count == 1 ) THEN
1997	DO i = nxl, nxr
1998	DO j = nys, nyn
1999	DO k = nzb+1, nzt
2000	tnc_m(k,j,i) = tend(k,j,i)
2001	ENDDO
2002	ENDDO
2003	ENDDO
2004	ELSEIF ( intermediate_timestep_count < &
2005	intermediate_timestep_count_max ) THEN
2006	DO i = nxl, nxr
2007	DO j = nys, nyn
2008	DO k = nzb+1, nzt
2009	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2010	+ 5.3125_wp * tnc_m(k,j,i)
2011	ENDDO
2012	ENDDO
2013	ENDDO
2014	ENDIF
2015	ENDIF
2016
2017	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
2018
2019	ENDIF
2020	!
2021	!-- If required, calculate prognostic equations for rain water content
2022	!-- and rain drop concentration
2023	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
2024
2025	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
2026
2027	!
2028	!-- Calculate prognostic equation for rain water content
2029	sbt = tsc(2)
2030	IF ( scalar_advec == 'bc-scheme' ) THEN
2031
2032	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2033	!
2034	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2035	sbt = 1.0_wp
2036	ENDIF
2037	tend = 0.0_wp
2038	CALL advec_s_bc( qr, 'qr' )
2039
2040	ENDIF
2041
2042	!
2043	!-- qr-tendency terms with no communication
2044	IF ( scalar_advec /= 'bc-scheme' ) THEN
2045	tend = 0.0_wp
2046	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2047	IF ( ws_scheme_sca ) THEN
2048	CALL advec_s_ws( qr, 'qr' )
2049	ELSE
2050	CALL advec_s_pw( qr )
2051	ENDIF
2052	ELSE
2053	CALL advec_s_up( qr )
2054	ENDIF
2055	ENDIF
2056
2057	CALL diffusion_s( qr, &
2058	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
2059	surf_def_h(2)%qrsws, &
2060	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
2061	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
2062	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
2063	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
2064	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
2065	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
2066	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
2067
2068	!
2069	!-- Prognostic equation for rain water content
2070	DO i = nxl, nxr
2071	DO j = nys, nyn
2072	DO k = nzb+1, nzt
2073	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2074	tsc(3) * tqr_m(k,j,i) ) &
2075	- tsc(5) * rdf_sc(k) * &
2076	qr(k,j,i) &
2077	) &
2078	* MERGE( 1.0_wp, 0.0_wp, &
2079	BTEST( wall_flags_0(k,j,i), 0 ) &
2080	)
2081	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
2082	ENDDO
2083	ENDDO
2084	ENDDO
2085
2086	!
2087	!-- Calculate tendencies for the next Runge-Kutta step
2088	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2089	IF ( intermediate_timestep_count == 1 ) THEN
2090	DO i = nxl, nxr
2091	DO j = nys, nyn
2092	DO k = nzb+1, nzt
2093	tqr_m(k,j,i) = tend(k,j,i)
2094	ENDDO
2095	ENDDO
2096	ENDDO
2097	ELSEIF ( intermediate_timestep_count < &
2098	intermediate_timestep_count_max ) THEN
2099	DO i = nxl, nxr
2100	DO j = nys, nyn
2101	DO k = nzb+1, nzt
2102	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2103	+ 5.3125_wp * tqr_m(k,j,i)
2104	ENDDO
2105	ENDDO
2106	ENDDO
2107	ENDIF
2108	ENDIF
2109
2110	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
2111	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
2112
2113	!
2114	!-- Calculate prognostic equation for rain drop concentration
2115	sbt = tsc(2)
2116	IF ( scalar_advec == 'bc-scheme' ) THEN
2117
2118	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2119	!
2120	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2121	sbt = 1.0_wp
2122	ENDIF
2123	tend = 0.0_wp
2124	CALL advec_s_bc( nr, 'nr' )
2125
2126	ENDIF
2127
2128	!
2129	!-- nr-tendency terms with no communication
2130	IF ( scalar_advec /= 'bc-scheme' ) THEN
2131	tend = 0.0_wp
2132	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2133	IF ( ws_scheme_sca ) THEN
2134	CALL advec_s_ws( nr, 'nr' )
2135	ELSE
2136	CALL advec_s_pw( nr )
2137	ENDIF
2138	ELSE
2139	CALL advec_s_up( nr )
2140	ENDIF
2141	ENDIF
2142
2143	CALL diffusion_s( nr, &
2144	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
2145	surf_def_h(2)%nrsws, &
2146	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
2147	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
2148	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
2149	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
2150	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
2151	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
2152	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
2153
2154	!
2155	!-- Prognostic equation for rain drop concentration
2156	DO i = nxl, nxr
2157	DO j = nys, nyn
2158	DO k = nzb+1, nzt
2159	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2160	tsc(3) * tnr_m(k,j,i) ) &
2161	- tsc(5) * rdf_sc(k) * &
2162	nr(k,j,i) &
2163	) &
2164	* MERGE( 1.0_wp, 0.0_wp, &
2165	BTEST( wall_flags_0(k,j,i), 0 ) &
2166	)
2167	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
2168	ENDDO
2169	ENDDO
2170	ENDDO
2171
2172	!
2173	!-- Calculate tendencies for the next Runge-Kutta step
2174	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2175	IF ( intermediate_timestep_count == 1 ) THEN
2176	DO i = nxl, nxr
2177	DO j = nys, nyn
2178	DO k = nzb+1, nzt
2179	tnr_m(k,j,i) = tend(k,j,i)
2180	ENDDO
2181	ENDDO
2182	ENDDO
2183	ELSEIF ( intermediate_timestep_count < &
2184	intermediate_timestep_count_max ) THEN
2185	DO i = nxl, nxr
2186	DO j = nys, nyn
2187	DO k = nzb+1, nzt
2188	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2189	+ 5.3125_wp * tnr_m(k,j,i)
2190	ENDDO
2191	ENDDO
2192	ENDDO
2193	ENDIF
2194	ENDIF
2195
2196	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
2197
2198	ENDIF
2199
2200	ENDIF
2201	!
2202	!-- If required, compute prognostic equation for scalar
2203	IF ( passive_scalar ) THEN
2204
2205	CALL cpu_log( log_point(66), 's-equation', 'start' )
2206
2207	!
2208	!-- Scalar/q-tendency terms with communication
2209	sbt = tsc(2)
2210	IF ( scalar_advec == 'bc-scheme' ) THEN
2211
2212	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2213	!
2214	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2215	sbt = 1.0_wp
2216	ENDIF
2217	tend = 0.0_wp
2218	CALL advec_s_bc( s, 's' )
2219
2220	ENDIF
2221
2222	!
2223	!-- Scalar/q-tendency terms with no communication
2224	IF ( scalar_advec /= 'bc-scheme' ) THEN
2225	tend = 0.0_wp
2226	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2227	IF ( ws_scheme_sca ) THEN
2228	CALL advec_s_ws( s, 's' )
2229	ELSE
2230	CALL advec_s_pw( s )
2231	ENDIF
2232	ELSE
2233	CALL advec_s_up( s )
2234	ENDIF
2235	ENDIF
2236
2237	CALL diffusion_s( s, &
2238	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
2239	surf_def_h(2)%ssws, &
2240	surf_lsm_h%ssws, surf_usm_h%ssws, &
2241	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
2242	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
2243	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
2244	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
2245	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
2246	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
2247
2248	!
2249	!-- Sink or source of humidity due to canopy elements
2250	IF ( plant_canopy ) CALL pcm_tendency( 7 )
2251
2252	!
2253	!-- Large scale advection. Not implemented for scalars so far.
2254	! IF ( large_scale_forcing ) THEN
2255	! CALL ls_advec( simulated_time, 'q' )
2256	! ENDIF
2257
2258	!
2259	!-- Nudging. Not implemented for scalars so far.
2260	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
2261
2262	!
2263	!-- If required compute influence of large-scale subsidence/ascent.
2264	!-- Not implemented for scalars so far.
2265	IF ( large_scale_subsidence .AND. &
2266	.NOT. use_subsidence_tendencies .AND. &
2267	.NOT. large_scale_forcing ) THEN
2268	CALL subsidence( tend, s, s_init, 3 )
2269	ENDIF
2270
2271	CALL user_actions( 's-tendency' )
2272
2273	!
2274	!-- Prognostic equation for total water content
2275	DO i = nxl, nxr
2276	DO j = nys, nyn
2277	DO k = nzb+1, nzt
2278	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2279	tsc(3) * ts_m(k,j,i) ) &
2280	- tsc(5) * rdf_sc(k) * &
2281	( s(k,j,i) - s_init(k) ) &
2282	) &
2283	* MERGE( 1.0_wp, 0.0_wp, &
2284	BTEST( wall_flags_0(k,j,i), 0 ) &
2285	)
2286	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
2287	ENDDO
2288	ENDDO
2289	ENDDO
2290
2291	!
2292	!-- Calculate tendencies for the next Runge-Kutta step
2293	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2294	IF ( intermediate_timestep_count == 1 ) THEN
2295	DO i = nxl, nxr
2296	DO j = nys, nyn
2297	DO k = nzb+1, nzt
2298	ts_m(k,j,i) = tend(k,j,i)
2299	ENDDO
2300	ENDDO
2301	ENDDO
2302	ELSEIF ( intermediate_timestep_count < &
2303	intermediate_timestep_count_max ) THEN
2304	DO i = nxl, nxr
2305	DO j = nys, nyn
2306	DO k = nzb+1, nzt
2307	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2308	+ 5.3125_wp * ts_m(k,j,i)
2309	ENDDO
2310	ENDDO
2311	ENDDO
2312	ENDIF
2313	ENDIF
2314
2315	CALL cpu_log( log_point(66), 's-equation', 'stop' )
2316
2317	ENDIF
2318
2319	!
2320	!-- Calculate prognostic equations for turbulence closure
2321	CALL tcm_prognostic()
2322
2323	!
2324	!-- Calculate prognostic equation for chemical quantites
2325	IF ( air_chemistry ) THEN
2326	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
2327	!
2328	!-- Loop over chemical species
2329	DO lsp = 1, nvar
2330	CALL chem_prognostic_equations( chem_species(lsp)%conc_p, &
2331	chem_species(lsp)%conc, &
2332	chem_species(lsp)%tconc_m, &
2333	chem_species(lsp)%conc_pr_init, &
2334	lsp )
2335	ENDDO
2336
2337	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
2338	ENDIF ! Chemicals equations
2339
2340	!
2341	!-- Calculate prognostic equations for the ocean
2342	IF ( ocean_mode ) CALL ocean_prognostic_equations()
2343
2344	END SUBROUTINE prognostic_equations_vector
2345
2346
2347	END MODULE prognostic_equations_mod

Note: See TracBrowser for help on using the repository browser.

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |