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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2809

Last change on this file since 2809 was 2766, checked in by kanani, 7 years ago
Removal of chem directive, plus minor changes
Property svn:keywords set to `Id`
File size: 93.3 KB

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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 2766 2018-01-22 17:17:47Z schwenkel $
27	! Removed preprocessor directive __chem
28	!
29	! 2746 2018-01-15 12:06:04Z suehring
30	! Move flag plant canopy to modules
31	!
32	! 2719 2018-01-02 09:02:06Z maronga
33	! Bugfix for last change.
34	!
35	! 2718 2018-01-02 08:49:38Z maronga
36	! Corrected "Former revisions" section
37	!
38	! 2696 2017-12-14 17:12:51Z kanani
39	! - Change in file header (GPL part)
40	! - Moved TKE equation to tcm_prognostic (TG)
41	! - Added switch for chemical reactions (RF, FK)
42	! - Implementation of chemistry module (RF, BK, FK)
43	!
44	! 2563 2017-10-19 15:36:10Z Giersch
45	! Variable wind_turbine moved to module control_parameters
46	!
47	! 2320 2017-07-21 12:47:43Z suehring
48	! Modularize large-scale forcing and nudging
49	!
50	! 2292 2017-06-20 09:51:42Z schwenkel
51	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
52	! includes two more prognostic equations for cloud drop concentration (nc)
53	! and cloud water content (qc).
54	!
55	! 2261 2017-06-08 14:25:57Z raasch
56	! bugfix for r2232: openmp directives removed
57	!
58	! 2233 2017-05-30 18:08:54Z suehring
59	!
60	! 2232 2017-05-30 17:47:52Z suehring
61	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
62	! which is realized directly in diffusion_s now.
63	!
64	! 2192 2017-03-22 04:14:10Z raasch
65	! Bugfix for misplaced and missing openMP directives from r2155
66	!
67	! 2155 2017-02-21 09:57:40Z hoffmann
68	! Bugfix in the calculation of microphysical quantities on ghost points.
69	!
70	! 2118 2017-01-17 16:38:49Z raasch
71	! OpenACC version of subroutine removed
72	!
73	! 2031 2016-10-21 15:11:58Z knoop
74	! renamed variable rho to rho_ocean
75	!
76	! 2011 2016-09-19 17:29:57Z kanani
77	! Flag urban_surface is now defined in module control_parameters.
78	!
79	! 2007 2016-08-24 15:47:17Z kanani
80	! Added pt tendency calculation based on energy balance at urban surfaces
81	! (new urban surface model)
82	!
83	! 2000 2016-08-20 18:09:15Z knoop
84	! Forced header and separation lines into 80 columns
85	!
86	! 1976 2016-07-27 13:28:04Z maronga
87	! Simplied calls to radiation model
88	!
89	! 1960 2016-07-12 16:34:24Z suehring
90	! Separate humidity and passive scalar
91	!
92	! 1914 2016-05-26 14:44:07Z witha
93	! Added calls for wind turbine model
94	!
95	! 1873 2016-04-18 14:50:06Z maronga
96	! Module renamed (removed _mod)
97	!
98	! 1850 2016-04-08 13:29:27Z maronga
99	! Module renamed
100	!
101	! 1826 2016-04-07 12:01:39Z maronga
102	! Renamed canopy model calls.
103	!
104	! 1822 2016-04-07 07:49:42Z hoffmann
105	! Kessler microphysics scheme moved to microphysics.
106	!
107	! 1757 2016-02-22 15:49:32Z maronga
108	!
109	! 1691 2015-10-26 16:17:44Z maronga
110	! Added optional model spin-up without radiation / land surface model calls.
111	! Formatting corrections.
112	!
113	! 1682 2015-10-07 23:56:08Z knoop
114	! Code annotations made doxygen readable
115	!
116	! 1585 2015-04-30 07:05:52Z maronga
117	! Added call for temperature tendency calculation due to radiative flux divergence
118	!
119	! 1517 2015-01-07 19:12:25Z hoffmann
120	! advec_s_bc_mod addded, since advec_s_bc is now a module
121	!
122	! 1496 2014-12-02 17:25:50Z maronga
123	! Renamed "radiation" -> "cloud_top_radiation"
124	!
125	! 1484 2014-10-21 10:53:05Z kanani
126	! Changes due to new module structure of the plant canopy model:
127	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
128	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
129	! control_parameters
130	!
131	! 1409 2014-05-23 12:11:32Z suehring
132	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
133	! This ensures that left-hand side fluxes are also calculated for nxl in that
134	! case, even though the solution at nxl is overwritten in boundary_conds()
135	!
136	! 1398 2014-05-07 11:15:00Z heinze
137	! Rayleigh-damping for horizontal velocity components changed: instead of damping
138	! against ug and vg, damping against u_init and v_init is used to allow for a
139	! homogenized treatment in case of nudging
140	!
141	! 1380 2014-04-28 12:40:45Z heinze
142	! Change order of calls for scalar prognostic quantities:
143	! ls_advec -> nudging -> subsidence since initial profiles
144	!
145	! 1374 2014-04-25 12:55:07Z raasch
146	! missing variables added to ONLY lists
147	!
148	! 1365 2014-04-22 15:03:56Z boeske
149	! Calls of ls_advec for large scale advection added,
150	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
151	! new argument ls_index added to the calls of subsidence
152	! +ls_index
153	!
154	! 1361 2014-04-16 15:17:48Z hoffmann
155	! Two-moment microphysics moved to the start of prognostic equations. This makes
156	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
157	! Additionally, it is allowed to call the microphysics just once during the time
158	! step (not at each sub-time step).
159	!
160	! Two-moment cloud physics added for vector and accelerator optimization.
161	!
162	! 1353 2014-04-08 15:21:23Z heinze
163	! REAL constants provided with KIND-attribute
164	!
165	! 1337 2014-03-25 15:11:48Z heinze
166	! Bugfix: REAL constants provided with KIND-attribute
167	!
168	! 1332 2014-03-25 11:59:43Z suehring
169	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
170	!
171	! 1330 2014-03-24 17:29:32Z suehring
172	! In case of SGS-particle velocity advection of TKE is also allowed with
173	! dissipative 5th-order scheme.
174	!
175	! 1320 2014-03-20 08:40:49Z raasch
176	! ONLY-attribute added to USE-statements,
177	! kind-parameters added to all INTEGER and REAL declaration statements,
178	! kinds are defined in new module kinds,
179	! old module precision_kind is removed,
180	! revision history before 2012 removed,
181	! comment fields (!:) to be used for variable explanations added to
182	! all variable declaration statements
183	!
184	! 1318 2014-03-17 13:35:16Z raasch
185	! module interfaces removed
186	!
187	! 1257 2013-11-08 15:18:40Z raasch
188	! openacc loop vector clauses removed, independent clauses added
189	!
190	! 1246 2013-11-01 08:59:45Z heinze
191	! enable nudging also for accelerator version
192	!
193	! 1241 2013-10-30 11:36:58Z heinze
194	! usage of nudging enabled (so far not implemented for accelerator version)
195	!
196	! 1179 2013-06-14 05:57:58Z raasch
197	! two arguments removed from routine buoyancy, ref_state updated on device
198	!
199	! 1128 2013-04-12 06:19:32Z raasch
200	! those parts requiring global communication moved to time_integration,
201	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
202	! j_north
203	!
204	! 1115 2013-03-26 18:16:16Z hoffmann
205	! optimized cloud physics: calculation of microphysical tendencies transfered
206	! to microphysics.f90; qr and nr are only calculated if precipitation is required
207	!
208	! 1111 2013-03-08 23:54:10Z raasch
209	! update directives for prognostic quantities removed
210	!
211	! 1106 2013-03-04 05:31:38Z raasch
212	! small changes in code formatting
213	!
214	! 1092 2013-02-02 11:24:22Z raasch
215	! unused variables removed
216	!
217	! 1053 2012-11-13 17:11:03Z hoffmann
218	! implementation of two new prognostic equations for rain drop concentration (nr)
219	! and rain water content (qr)
220	!
221	! currently, only available for cache loop optimization
222	!
223	! 1036 2012-10-22 13:43:42Z raasch
224	! code put under GPL (PALM 3.9)
225	!
226	! 1019 2012-09-28 06:46:45Z raasch
227	! non-optimized version of prognostic_equations removed
228	!
229	! 1015 2012-09-27 09:23:24Z raasch
230	! new branch prognostic_equations_acc
231	! OpenACC statements added + code changes required for GPU optimization
232	!
233	! 1001 2012-09-13 14:08:46Z raasch
234	! all actions concerning leapfrog- and upstream-spline-scheme removed
235	!
236	! 978 2012-08-09 08:28:32Z fricke
237	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
238	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
239	! boundary in case of non-cyclic lateral boundaries
240	! Bugfix: first thread index changes for WS-scheme at the inflow
241	!
242	! 940 2012-07-09 14:31:00Z raasch
243	! temperature equation can be switched off
244	!
245	! Revision 1.1 2000/04/13 14:56:27 schroeter
246	! Initial revision
247	!
248	!
249	! Description:
250	! ------------
251	!> Solving the prognostic equations.
252	!------------------------------------------------------------------------------!
253	MODULE prognostic_equations_mod
254
255
256
257	USE arrays_3d, &
258	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
259	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
260	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
261	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
262	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
263	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
264	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
265	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
266	ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, tend, &
267	te_m, tnc_m, tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tsa_m, &
268	tu_m, tv_m, tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, &
269	w, w_p
270
271	USE chemistry_model_mod, &
272	ONLY: chem_integrate, chem_species, &
273	chem_tendency, nspec, nvar, spc_names
274
275	USE chem_photolysis_mod, &
276	ONLY: photolysis_control
277
278	USE chem_modules, &
279	ONLY: call_chem_at_all_substeps, chem_gasphase_on
280
281	USE control_parameters, &
282	ONLY: air_chemistry, call_microphysics_at_all_substeps, &
283	cloud_physics, cloud_top_radiation, constant_diffusion, &
284	dp_external, dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, &
285	humidity, &
286	inflow_l, intermediate_timestep_count, &
287	intermediate_timestep_count_max, large_scale_forcing, &
288	large_scale_subsidence, microphysics_morrison, &
289	microphysics_seifert, microphysics_sat_adjust, neutral, nudging,&
290	ocean, outflow_l, outflow_s, passive_scalar, plant_canopy, &
291	prho_reference, prho_reference, &
292	prho_reference, pt_reference, pt_reference, pt_reference, &
293	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
294	timestep_scheme, tsc, use_subsidence_tendencies, &
295	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
296	ws_scheme_sca
297
298	USE cpulog, &
299	ONLY: cpu_log, log_point, log_point_s
300
301
302	USE eqn_state_seawater_mod, &
303	ONLY: eqn_state_seawater
304
305	USE indices, &
306	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
307	nzb, nzt, wall_flags_0
308
309	USE advec_ws, &
310	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
311
312	USE advec_s_bc_mod, &
313	ONLY: advec_s_bc
314
315	USE advec_s_pw_mod, &
316	ONLY: advec_s_pw
317
318	USE advec_s_up_mod, &
319	ONLY: advec_s_up
320
321	USE advec_u_pw_mod, &
322	ONLY: advec_u_pw
323
324	USE advec_u_up_mod, &
325	ONLY: advec_u_up
326
327	USE advec_v_pw_mod, &
328	ONLY: advec_v_pw
329
330	USE advec_v_up_mod, &
331	ONLY: advec_v_up
332
333	USE advec_w_pw_mod, &
334	ONLY: advec_w_pw
335
336	USE advec_w_up_mod, &
337	ONLY: advec_w_up
338
339	USE buoyancy_mod, &
340	ONLY: buoyancy
341
342	USE calc_radiation_mod, &
343	ONLY: calc_radiation
344
345	USE coriolis_mod, &
346	ONLY: coriolis
347
348	USE diffusion_s_mod, &
349	ONLY: diffusion_s
350
351	USE diffusion_u_mod, &
352	ONLY: diffusion_u
353
354	USE diffusion_v_mod, &
355	ONLY: diffusion_v
356
357	USE diffusion_w_mod, &
358	ONLY: diffusion_w
359
360	USE kinds
361
362	USE lsf_nudging_mod, &
363	ONLY: ls_advec, nudge
364
365	USE microphysics_mod, &
366	ONLY: microphysics_control
367
368	USE plant_canopy_model_mod, &
369	ONLY: cthf, pcm_tendency
370
371	USE radiation_model_mod, &
372	ONLY: radiation, radiation_tendency, &
373	skip_time_do_radiation
374
375	USE statistics, &
376	ONLY: hom
377
378	USE subsidence_mod, &
379	ONLY: subsidence
380
381	USE turbulence_closure_mod, &
382	ONLY: tcm_prognostic
383
384	USE user_actions_mod, &
385	ONLY: user_actions
386
387	USE surface_mod, &
388	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
389	surf_usm_v
390
391	USE wind_turbine_model_mod, &
392	ONLY: wtm_tendencies
393
394
395	PRIVATE
396	PUBLIC prognostic_equations_cache, prognostic_equations_vector
397
398	INTERFACE prognostic_equations_cache
399	MODULE PROCEDURE prognostic_equations_cache
400	END INTERFACE prognostic_equations_cache
401
402	INTERFACE prognostic_equations_vector
403	MODULE PROCEDURE prognostic_equations_vector
404	END INTERFACE prognostic_equations_vector
405
406
407	CONTAINS
408
409
410	!------------------------------------------------------------------------------!
411	! Description:
412	! ------------
413	!> Version with one optimized loop over all equations. It is only allowed to
414	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
415	!>
416	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
417	!> so communication between CPUs is not allowed (does not make sense) within
418	!> these loops.
419	!>
420	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
421	!------------------------------------------------------------------------------!
422
423	SUBROUTINE prognostic_equations_cache
424
425
426	IMPLICIT NONE
427
428	INTEGER(iwp) :: i !<
429	INTEGER(iwp) :: i_omp_start !<
430	INTEGER(iwp) :: j !<
431	INTEGER(iwp) :: k !<
432	INTEGER(iwp) :: omp_get_thread_num !<
433	INTEGER(iwp) :: tn = 0 !<
434
435	LOGICAL :: loop_start !<
436	INTEGER :: n, lsp !< lsp running index for chem spcs
437
438
439	!
440	!-- Time measurement can only be performed for the whole set of equations
441	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
442
443	!
444	!-- Calculation of chemical reactions. This is done outside of main loop,
445	!-- since exchange of ghost points is required after this update of the
446	!-- concentrations of chemical species
447	IF ( air_chemistry ) THEN
448	!
449	!-- If required, calculate photolysis frequencies -
450	!-- UNFINISHED: Why not before the intermediate timestep loop?
451	IF ( intermediate_timestep_count == 1 ) THEN
452	CALL photolysis_control
453	ENDIF
454	!
455	!-- Chemical reactions
456	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'start' )
457
458	IF ( chem_gasphase_on ) THEN
459	DO i = nxl, nxr
460	DO j = nys, nyn
461
462	IF ( intermediate_timestep_count == 1 .OR. &
463	call_chem_at_all_substeps ) THEN
464	CALL chem_integrate (i,j)
465	ENDIF
466	ENDDO
467	ENDDO
468	ENDIF
469	!
470	!-- Loop over chemical species
471	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'start' )
472	DO n = 1, nspec
473	CALL exchange_horiz( chem_species(n)%conc, nbgp )
474	ENDDO
475	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'stop' )
476
477	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'stop' )
478
479	ENDIF
480
481	!
482	!-- If required, calculate cloud microphysics
483	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
484	( intermediate_timestep_count == 1 .OR. &
485	call_microphysics_at_all_substeps ) ) &
486	THEN
487	!$OMP PARALLEL PRIVATE (i,j)
488	!$OMP DO
489	DO i = nxlg, nxrg
490	DO j = nysg, nyng
491	CALL microphysics_control( i, j )
492	ENDDO
493	ENDDO
494	!$OMP END PARALLEL
495	ENDIF
496
497	!
498	!-- Loop over all prognostic equations
499	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
500
501	!$ tn = omp_get_thread_num()
502	loop_start = .TRUE.
503
504	!$OMP DO
505	DO i = nxl, nxr
506
507	!
508	!-- Store the first loop index. It differs for each thread and is required
509	!-- later in advec_ws
510	IF ( loop_start ) THEN
511	loop_start = .FALSE.
512	i_omp_start = i
513	ENDIF
514
515	DO j = nys, nyn
516	!
517	!-- Tendency terms for u-velocity component
518	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
519
520	tend(:,j,i) = 0.0_wp
521	IF ( timestep_scheme(1:5) == 'runge' ) THEN
522	IF ( ws_scheme_mom ) THEN
523	CALL advec_u_ws( i, j, i_omp_start, tn )
524	ELSE
525	CALL advec_u_pw( i, j )
526	ENDIF
527	ELSE
528	CALL advec_u_up( i, j )
529	ENDIF
530	CALL diffusion_u( i, j )
531	CALL coriolis( i, j, 1 )
532	IF ( sloping_surface .AND. .NOT. neutral ) THEN
533	CALL buoyancy( i, j, pt, 1 )
534	ENDIF
535
536	!
537	!-- Drag by plant canopy
538	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
539
540	!
541	!-- External pressure gradient
542	IF ( dp_external ) THEN
543	DO k = dp_level_ind_b+1, nzt
544	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
545	ENDDO
546	ENDIF
547
548	!
549	!-- Nudging
550	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
551
552	!
553	!-- Forces by wind turbines
554	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
555
556	CALL user_actions( i, j, 'u-tendency' )
557	!
558	!-- Prognostic equation for u-velocity component
559	DO k = nzb+1, nzt
560
561	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
562	( tsc(2) * tend(k,j,i) + &
563	tsc(3) * tu_m(k,j,i) ) &
564	- tsc(5) * rdf(k) &
565	* ( u(k,j,i) - u_init(k) ) &
566	) * MERGE( 1.0_wp, 0.0_wp, &
567	BTEST( wall_flags_0(k,j,i), 1 )&
568	)
569	ENDDO
570
571	!
572	!-- Calculate tendencies for the next Runge-Kutta step
573	IF ( timestep_scheme(1:5) == 'runge' ) THEN
574	IF ( intermediate_timestep_count == 1 ) THEN
575	DO k = nzb+1, nzt
576	tu_m(k,j,i) = tend(k,j,i)
577	ENDDO
578	ELSEIF ( intermediate_timestep_count < &
579	intermediate_timestep_count_max ) THEN
580	DO k = nzb+1, nzt
581	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
582	+ 5.3125_wp * tu_m(k,j,i)
583	ENDDO
584	ENDIF
585	ENDIF
586
587	ENDIF
588
589	!
590	!-- Tendency terms for v-velocity component
591	IF ( .NOT. outflow_s .OR. j > nys ) THEN
592
593	tend(:,j,i) = 0.0_wp
594	IF ( timestep_scheme(1:5) == 'runge' ) THEN
595	IF ( ws_scheme_mom ) THEN
596	CALL advec_v_ws( i, j, i_omp_start, tn )
597	ELSE
598	CALL advec_v_pw( i, j )
599	ENDIF
600	ELSE
601	CALL advec_v_up( i, j )
602	ENDIF
603	CALL diffusion_v( i, j )
604	CALL coriolis( i, j, 2 )
605
606	!
607	!-- Drag by plant canopy
608	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
609
610	!
611	!-- External pressure gradient
612	IF ( dp_external ) THEN
613	DO k = dp_level_ind_b+1, nzt
614	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
615	ENDDO
616	ENDIF
617
618	!
619	!-- Nudging
620	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
621
622	!
623	!-- Forces by wind turbines
624	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
625
626	CALL user_actions( i, j, 'v-tendency' )
627	!
628	!-- Prognostic equation for v-velocity component
629	DO k = nzb+1, nzt
630	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
631	( tsc(2) * tend(k,j,i) + &
632	tsc(3) * tv_m(k,j,i) ) &
633	- tsc(5) * rdf(k) &
634	* ( v(k,j,i) - v_init(k) )&
635	) * MERGE( 1.0_wp, 0.0_wp, &
636	BTEST( wall_flags_0(k,j,i), 2 )&
637	)
638	ENDDO
639
640	!
641	!-- Calculate tendencies for the next Runge-Kutta step
642	IF ( timestep_scheme(1:5) == 'runge' ) THEN
643	IF ( intermediate_timestep_count == 1 ) THEN
644	DO k = nzb+1, nzt
645	tv_m(k,j,i) = tend(k,j,i)
646	ENDDO
647	ELSEIF ( intermediate_timestep_count < &
648	intermediate_timestep_count_max ) THEN
649	DO k = nzb+1, nzt
650	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
651	+ 5.3125_wp * tv_m(k,j,i)
652	ENDDO
653	ENDIF
654	ENDIF
655
656	ENDIF
657
658	!
659	!-- Tendency terms for w-velocity component
660	tend(:,j,i) = 0.0_wp
661	IF ( timestep_scheme(1:5) == 'runge' ) THEN
662	IF ( ws_scheme_mom ) THEN
663	CALL advec_w_ws( i, j, i_omp_start, tn )
664	ELSE
665	CALL advec_w_pw( i, j )
666	END IF
667	ELSE
668	CALL advec_w_up( i, j )
669	ENDIF
670	CALL diffusion_w( i, j )
671	CALL coriolis( i, j, 3 )
672
673	IF ( .NOT. neutral ) THEN
674	IF ( ocean ) THEN
675	CALL buoyancy( i, j, rho_ocean, 3 )
676	ELSE
677	IF ( .NOT. humidity ) THEN
678	CALL buoyancy( i, j, pt, 3 )
679	ELSE
680	CALL buoyancy( i, j, vpt, 3 )
681	ENDIF
682	ENDIF
683	ENDIF
684
685	!
686	!-- Drag by plant canopy
687	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
688
689	!
690	!-- Forces by wind turbines
691	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
692
693	CALL user_actions( i, j, 'w-tendency' )
694	!
695	!-- Prognostic equation for w-velocity component
696	DO k = nzb+1, nzt-1
697	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
698	( tsc(2) * tend(k,j,i) + &
699	tsc(3) * tw_m(k,j,i) ) &
700	- tsc(5) * rdf(k) * w(k,j,i) &
701	) * MERGE( 1.0_wp, 0.0_wp, &
702	BTEST( wall_flags_0(k,j,i), 3 )&
703	)
704	ENDDO
705
706	!
707	!-- Calculate tendencies for the next Runge-Kutta step
708	IF ( timestep_scheme(1:5) == 'runge' ) THEN
709	IF ( intermediate_timestep_count == 1 ) THEN
710	DO k = nzb+1, nzt-1
711	tw_m(k,j,i) = tend(k,j,i)
712	ENDDO
713	ELSEIF ( intermediate_timestep_count < &
714	intermediate_timestep_count_max ) THEN
715	DO k = nzb+1, nzt-1
716	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
717	+ 5.3125_wp * tw_m(k,j,i)
718	ENDDO
719	ENDIF
720	ENDIF
721
722	!
723	!-- If required, compute prognostic equation for potential temperature
724	IF ( .NOT. neutral ) THEN
725	!
726	!-- Tendency terms for potential temperature
727	tend(:,j,i) = 0.0_wp
728	IF ( timestep_scheme(1:5) == 'runge' ) THEN
729	IF ( ws_scheme_sca ) THEN
730	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
731	flux_l_pt, diss_l_pt, i_omp_start, tn )
732	ELSE
733	CALL advec_s_pw( i, j, pt )
734	ENDIF
735	ELSE
736	CALL advec_s_up( i, j, pt )
737	ENDIF
738	CALL diffusion_s( i, j, pt, &
739	surf_def_h(0)%shf, surf_def_h(1)%shf, &
740	surf_def_h(2)%shf, &
741	surf_lsm_h%shf, surf_usm_h%shf, &
742	surf_def_v(0)%shf, surf_def_v(1)%shf, &
743	surf_def_v(2)%shf, surf_def_v(3)%shf, &
744	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
745	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
746	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
747	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
748	!
749	!-- If required compute heating/cooling due to long wave radiation
750	!-- processes
751	IF ( cloud_top_radiation ) THEN
752	CALL calc_radiation( i, j )
753	ENDIF
754
755	!
756	!-- Consideration of heat sources within the plant canopy
757	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
758	CALL pcm_tendency( i, j, 4 )
759	ENDIF
760
761	!
762	!-- Large scale advection
763	IF ( large_scale_forcing ) THEN
764	CALL ls_advec( i, j, simulated_time, 'pt' )
765	ENDIF
766
767	!
768	!-- Nudging
769	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
770
771	!
772	!-- If required, compute effect of large-scale subsidence/ascent
773	IF ( large_scale_subsidence .AND. &
774	.NOT. use_subsidence_tendencies ) THEN
775	CALL subsidence( i, j, tend, pt, pt_init, 2 )
776	ENDIF
777
778	!
779	!-- If required, add tendency due to radiative heating/cooling
780	IF ( radiation .AND. &
781	simulated_time > skip_time_do_radiation ) THEN
782	CALL radiation_tendency ( i, j, tend )
783	ENDIF
784
785
786	CALL user_actions( i, j, 'pt-tendency' )
787	!
788	!-- Prognostic equation for potential temperature
789	DO k = nzb+1, nzt
790	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
791	( tsc(2) * tend(k,j,i) + &
792	tsc(3) * tpt_m(k,j,i) ) &
793	- tsc(5) &
794	* ( pt(k,j,i) - pt_init(k) ) &
795	* ( rdf_sc(k) + ptdf_x(i) &
796	+ ptdf_y(j) ) &
797	) &
798	* MERGE( 1.0_wp, 0.0_wp, &
799	BTEST( wall_flags_0(k,j,i), 0 )&
800	)
801	ENDDO
802
803	!
804	!-- Calculate tendencies for the next Runge-Kutta step
805	IF ( timestep_scheme(1:5) == 'runge' ) THEN
806	IF ( intermediate_timestep_count == 1 ) THEN
807	DO k = nzb+1, nzt
808	tpt_m(k,j,i) = tend(k,j,i)
809	ENDDO
810	ELSEIF ( intermediate_timestep_count < &
811	intermediate_timestep_count_max ) THEN
812	DO k = nzb+1, nzt
813	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
814	5.3125_wp * tpt_m(k,j,i)
815	ENDDO
816	ENDIF
817	ENDIF
818
819	ENDIF
820
821	!
822	!-- If required, compute prognostic equation for salinity
823	IF ( ocean ) THEN
824
825	!
826	!-- Tendency-terms for salinity
827	tend(:,j,i) = 0.0_wp
828	IF ( timestep_scheme(1:5) == 'runge' ) &
829	THEN
830	IF ( ws_scheme_sca ) THEN
831	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
832	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
833	ELSE
834	CALL advec_s_pw( i, j, sa )
835	ENDIF
836	ELSE
837	CALL advec_s_up( i, j, sa )
838	ENDIF
839	CALL diffusion_s( i, j, sa, &
840	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
841	surf_def_h(2)%sasws, &
842	surf_lsm_h%sasws, surf_usm_h%sasws, &
843	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
844	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
845	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
846	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
847	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
848	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
849
850	CALL user_actions( i, j, 'sa-tendency' )
851
852	!
853	!-- Prognostic equation for salinity
854	DO k = nzb+1, nzt
855	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * &
856	( tsc(2) * tend(k,j,i) + &
857	tsc(3) * tsa_m(k,j,i) ) &
858	- tsc(5) * rdf_sc(k) &
859	* ( sa(k,j,i) - sa_init(k) )&
860	) * MERGE( 1.0_wp, 0.0_wp, &
861	BTEST( wall_flags_0(k,j,i), 0 )&
862	)
863	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
864	ENDDO
865
866	!
867	!-- Calculate tendencies for the next Runge-Kutta step
868	IF ( timestep_scheme(1:5) == 'runge' ) THEN
869	IF ( intermediate_timestep_count == 1 ) THEN
870	DO k = nzb+1, nzt
871	tsa_m(k,j,i) = tend(k,j,i)
872	ENDDO
873	ELSEIF ( intermediate_timestep_count < &
874	intermediate_timestep_count_max ) THEN
875	DO k = nzb+1, nzt
876	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
877	5.3125_wp * tsa_m(k,j,i)
878	ENDDO
879	ENDIF
880	ENDIF
881
882	!
883	!-- Calculate density by the equation of state for seawater
884	CALL eqn_state_seawater( i, j )
885
886	ENDIF
887
888	!
889	!-- If required, compute prognostic equation for total water content
890	IF ( humidity ) THEN
891
892	!
893	!-- Tendency-terms for total water content / scalar
894	tend(:,j,i) = 0.0_wp
895	IF ( timestep_scheme(1:5) == 'runge' ) &
896	THEN
897	IF ( ws_scheme_sca ) THEN
898	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
899	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
900	ELSE
901	CALL advec_s_pw( i, j, q )
902	ENDIF
903	ELSE
904	CALL advec_s_up( i, j, q )
905	ENDIF
906	CALL diffusion_s( i, j, q, &
907	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
908	surf_def_h(2)%qsws, &
909	surf_lsm_h%qsws, surf_usm_h%qsws, &
910	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
911	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
912	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
913	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
914	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
915	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
916
917	!
918	!-- Sink or source of humidity due to canopy elements
919	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
920
921	!
922	!-- Large scale advection
923	IF ( large_scale_forcing ) THEN
924	CALL ls_advec( i, j, simulated_time, 'q' )
925	ENDIF
926
927	!
928	!-- Nudging
929	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
930
931	!
932	!-- If required compute influence of large-scale subsidence/ascent
933	IF ( large_scale_subsidence .AND. &
934	.NOT. use_subsidence_tendencies ) THEN
935	CALL subsidence( i, j, tend, q, q_init, 3 )
936	ENDIF
937
938	CALL user_actions( i, j, 'q-tendency' )
939
940	!
941	!-- Prognostic equation for total water content / scalar
942	DO k = nzb+1, nzt
943	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
944	( tsc(2) * tend(k,j,i) + &
945	tsc(3) * tq_m(k,j,i) ) &
946	- tsc(5) * rdf_sc(k) * &
947	( q(k,j,i) - q_init(k) ) &
948	) &
949	* MERGE( 1.0_wp, 0.0_wp, &
950	BTEST( wall_flags_0(k,j,i), 0 )&
951	)
952	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
953	ENDDO
954
955	!
956	!-- Calculate tendencies for the next Runge-Kutta step
957	IF ( timestep_scheme(1:5) == 'runge' ) THEN
958	IF ( intermediate_timestep_count == 1 ) THEN
959	DO k = nzb+1, nzt
960	tq_m(k,j,i) = tend(k,j,i)
961	ENDDO
962	ELSEIF ( intermediate_timestep_count < &
963	intermediate_timestep_count_max ) THEN
964	DO k = nzb+1, nzt
965	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
966	5.3125_wp * tq_m(k,j,i)
967	ENDDO
968	ENDIF
969	ENDIF
970
971	!
972	!-- If required, calculate prognostic equations for cloud water content
973	!-- and cloud drop concentration
974	IF ( cloud_physics .AND. microphysics_morrison ) THEN
975	!
976	!-- Calculate prognostic equation for cloud water content
977	tend(:,j,i) = 0.0_wp
978	IF ( timestep_scheme(1:5) == 'runge' ) &
979	THEN
980	IF ( ws_scheme_sca ) THEN
981	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
982	diss_s_qc, flux_l_qc, diss_l_qc, &
983	i_omp_start, tn )
984	ELSE
985	CALL advec_s_pw( i, j, qc )
986	ENDIF
987	ELSE
988	CALL advec_s_up( i, j, qc )
989	ENDIF
990	CALL diffusion_s( i, j, qc, &
991	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
992	surf_def_h(2)%qcsws, &
993	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
994	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
995	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
996	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
997	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
998	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
999	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
1000
1001	!
1002	!-- Prognostic equation for cloud water content
1003	DO k = nzb+1, nzt
1004	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
1005	( tsc(2) * tend(k,j,i) + &
1006	tsc(3) * tqc_m(k,j,i) )&
1007	- tsc(5) * rdf_sc(k) &
1008	* qc(k,j,i) &
1009	) &
1010	* MERGE( 1.0_wp, 0.0_wp, &
1011	BTEST( wall_flags_0(k,j,i), 0 )&
1012	)
1013	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
1014	ENDDO
1015	!
1016	!-- Calculate tendencies for the next Runge-Kutta step
1017	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1018	IF ( intermediate_timestep_count == 1 ) THEN
1019	DO k = nzb+1, nzt
1020	tqc_m(k,j,i) = tend(k,j,i)
1021	ENDDO
1022	ELSEIF ( intermediate_timestep_count < &
1023	intermediate_timestep_count_max ) THEN
1024	DO k = nzb+1, nzt
1025	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1026	5.3125_wp * tqc_m(k,j,i)
1027	ENDDO
1028	ENDIF
1029	ENDIF
1030
1031	!
1032	!-- Calculate prognostic equation for cloud drop concentration.
1033	tend(:,j,i) = 0.0_wp
1034	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1035	IF ( ws_scheme_sca ) THEN
1036	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
1037	diss_s_nc, flux_l_nc, diss_l_nc, &
1038	i_omp_start, tn )
1039	ELSE
1040	CALL advec_s_pw( i, j, nc )
1041	ENDIF
1042	ELSE
1043	CALL advec_s_up( i, j, nc )
1044	ENDIF
1045	CALL diffusion_s( i, j, nc, &
1046	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
1047	surf_def_h(2)%ncsws, &
1048	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
1049	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
1050	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
1051	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
1052	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
1053	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
1054	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
1055
1056	!
1057	!-- Prognostic equation for cloud drop concentration
1058	DO k = nzb+1, nzt
1059	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
1060	( tsc(2) * tend(k,j,i) + &
1061	tsc(3) * tnc_m(k,j,i) )&
1062	- tsc(5) * rdf_sc(k) &
1063	* nc(k,j,i) &
1064	) &
1065	* MERGE( 1.0_wp, 0.0_wp, &
1066	BTEST( wall_flags_0(k,j,i), 0 )&
1067	)
1068	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
1069	ENDDO
1070	!
1071	!-- Calculate tendencies for the next Runge-Kutta step
1072	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1073	IF ( intermediate_timestep_count == 1 ) THEN
1074	DO k = nzb+1, nzt
1075	tnc_m(k,j,i) = tend(k,j,i)
1076	ENDDO
1077	ELSEIF ( intermediate_timestep_count < &
1078	intermediate_timestep_count_max ) THEN
1079	DO k = nzb+1, nzt
1080	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1081	5.3125_wp * tnc_m(k,j,i)
1082	ENDDO
1083	ENDIF
1084	ENDIF
1085
1086	ENDIF
1087	!
1088	!-- If required, calculate prognostic equations for rain water content
1089	!-- and rain drop concentration
1090	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1091	!
1092	!-- Calculate prognostic equation for rain water content
1093	tend(:,j,i) = 0.0_wp
1094	IF ( timestep_scheme(1:5) == 'runge' ) &
1095	THEN
1096	IF ( ws_scheme_sca ) THEN
1097	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
1098	diss_s_qr, flux_l_qr, diss_l_qr, &
1099	i_omp_start, tn )
1100	ELSE
1101	CALL advec_s_pw( i, j, qr )
1102	ENDIF
1103	ELSE
1104	CALL advec_s_up( i, j, qr )
1105	ENDIF
1106	CALL diffusion_s( i, j, qr, &
1107	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
1108	surf_def_h(2)%qrsws, &
1109	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
1110	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
1111	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
1112	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
1113	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
1114	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
1115	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
1116
1117	!
1118	!-- Prognostic equation for rain water content
1119	DO k = nzb+1, nzt
1120	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
1121	( tsc(2) * tend(k,j,i) + &
1122	tsc(3) * tqr_m(k,j,i) )&
1123	- tsc(5) * rdf_sc(k) &
1124	* qr(k,j,i) &
1125	) &
1126	* MERGE( 1.0_wp, 0.0_wp, &
1127	BTEST( wall_flags_0(k,j,i), 0 )&
1128	)
1129	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
1130	ENDDO
1131	!
1132	!-- Calculate tendencies for the next Runge-Kutta step
1133	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1134	IF ( intermediate_timestep_count == 1 ) THEN
1135	DO k = nzb+1, nzt
1136	tqr_m(k,j,i) = tend(k,j,i)
1137	ENDDO
1138	ELSEIF ( intermediate_timestep_count < &
1139	intermediate_timestep_count_max ) THEN
1140	DO k = nzb+1, nzt
1141	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1142	5.3125_wp * tqr_m(k,j,i)
1143	ENDDO
1144	ENDIF
1145	ENDIF
1146
1147	!
1148	!-- Calculate prognostic equation for rain drop concentration.
1149	tend(:,j,i) = 0.0_wp
1150	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1151	IF ( ws_scheme_sca ) THEN
1152	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
1153	diss_s_nr, flux_l_nr, diss_l_nr, &
1154	i_omp_start, tn )
1155	ELSE
1156	CALL advec_s_pw( i, j, nr )
1157	ENDIF
1158	ELSE
1159	CALL advec_s_up( i, j, nr )
1160	ENDIF
1161	CALL diffusion_s( i, j, nr, &
1162	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
1163	surf_def_h(2)%nrsws, &
1164	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
1165	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
1166	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
1167	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
1168	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
1169	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
1170	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
1171
1172	!
1173	!-- Prognostic equation for rain drop concentration
1174	DO k = nzb+1, nzt
1175	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
1176	( tsc(2) * tend(k,j,i) + &
1177	tsc(3) * tnr_m(k,j,i) )&
1178	- tsc(5) * rdf_sc(k) &
1179	* nr(k,j,i) &
1180	) &
1181	* MERGE( 1.0_wp, 0.0_wp, &
1182	BTEST( wall_flags_0(k,j,i), 0 )&
1183	)
1184	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
1185	ENDDO
1186	!
1187	!-- Calculate tendencies for the next Runge-Kutta step
1188	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1189	IF ( intermediate_timestep_count == 1 ) THEN
1190	DO k = nzb+1, nzt
1191	tnr_m(k,j,i) = tend(k,j,i)
1192	ENDDO
1193	ELSEIF ( intermediate_timestep_count < &
1194	intermediate_timestep_count_max ) THEN
1195	DO k = nzb+1, nzt
1196	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1197	5.3125_wp * tnr_m(k,j,i)
1198	ENDDO
1199	ENDIF
1200	ENDIF
1201
1202	ENDIF
1203
1204	ENDIF
1205
1206	!
1207	!-- If required, compute prognostic equation for scalar
1208	IF ( passive_scalar ) THEN
1209	!
1210	!-- Tendency-terms for total water content / scalar
1211	tend(:,j,i) = 0.0_wp
1212	IF ( timestep_scheme(1:5) == 'runge' ) &
1213	THEN
1214	IF ( ws_scheme_sca ) THEN
1215	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
1216	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
1217	ELSE
1218	CALL advec_s_pw( i, j, s )
1219	ENDIF
1220	ELSE
1221	CALL advec_s_up( i, j, s )
1222	ENDIF
1223	CALL diffusion_s( i, j, s, &
1224	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
1225	surf_def_h(2)%ssws, &
1226	surf_lsm_h%ssws, surf_usm_h%ssws, &
1227	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
1228	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
1229	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
1230	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
1231	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
1232	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
1233
1234	!
1235	!-- Sink or source of scalar concentration due to canopy elements
1236	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
1237
1238	!
1239	!-- Large scale advection, still need to be extended for scalars
1240	! IF ( large_scale_forcing ) THEN
1241	! CALL ls_advec( i, j, simulated_time, 's' )
1242	! ENDIF
1243
1244	!
1245	!-- Nudging, still need to be extended for scalars
1246	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
1247
1248	!
1249	!-- If required compute influence of large-scale subsidence/ascent.
1250	!-- Note, the last argument is of no meaning in this case, as it is
1251	!-- only used in conjunction with large_scale_forcing, which is to
1252	!-- date not implemented for scalars.
1253	IF ( large_scale_subsidence .AND. &
1254	.NOT. use_subsidence_tendencies .AND. &
1255	.NOT. large_scale_forcing ) THEN
1256	CALL subsidence( i, j, tend, s, s_init, 3 )
1257	ENDIF
1258
1259	CALL user_actions( i, j, 's-tendency' )
1260
1261	!
1262	!-- Prognostic equation for scalar
1263	DO k = nzb+1, nzt
1264	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
1265	( tsc(2) * tend(k,j,i) + &
1266	tsc(3) * ts_m(k,j,i) ) &
1267	- tsc(5) * rdf_sc(k) &
1268	* ( s(k,j,i) - s_init(k) )&
1269	) &
1270	* MERGE( 1.0_wp, 0.0_wp, &
1271	BTEST( wall_flags_0(k,j,i), 0 )&
1272	)
1273	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
1274	ENDDO
1275
1276	!
1277	!-- Calculate tendencies for the next Runge-Kutta step
1278	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1279	IF ( intermediate_timestep_count == 1 ) THEN
1280	DO k = nzb+1, nzt
1281	ts_m(k,j,i) = tend(k,j,i)
1282	ENDDO
1283	ELSEIF ( intermediate_timestep_count < &
1284	intermediate_timestep_count_max ) THEN
1285	DO k = nzb+1, nzt
1286	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1287	5.3125_wp * ts_m(k,j,i)
1288	ENDDO
1289	ENDIF
1290	ENDIF
1291
1292	ENDIF
1293	!
1294	!-- Calculate prognostic equations for turbulence closure
1295	CALL tcm_prognostic( i, j, i_omp_start, tn )
1296
1297	!
1298	!-- If required, compute prognostic equation for chemical quantites
1299	IF ( air_chemistry ) THEN
1300	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
1301	!
1302	!-- Loop over chemical species
1303	DO lsp = 1,nvar
1304	CALL chem_tendency ( chem_species(lsp)%conc_p, &
1305	chem_species(lsp)%conc, &
1306	chem_species(lsp)%tconc_m, &
1307	chem_species(lsp)%conc_pr_init, &
1308	i, j, i_omp_start, tn, lsp, &
1309	chem_species(lsp)%flux_s_cs, &
1310	chem_species(lsp)%diss_s_cs, &
1311	chem_species(lsp)%flux_l_cs, &
1312	chem_species(lsp)%diss_l_cs )
1313	ENDDO
1314
1315	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
1316	ENDIF ! Chemicals equations
1317
1318	ENDDO
1319	ENDDO
1320	!$OMP END PARALLEL
1321
1322
1323
1324
1325	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
1326
1327
1328	END SUBROUTINE prognostic_equations_cache
1329
1330
1331	!------------------------------------------------------------------------------!
1332	! Description:
1333	! ------------
1334	!> Version for vector machines
1335	!------------------------------------------------------------------------------!
1336
1337	SUBROUTINE prognostic_equations_vector
1338
1339
1340	IMPLICIT NONE
1341
1342	INTEGER(iwp) :: i !<
1343	INTEGER(iwp) :: j !<
1344	INTEGER(iwp) :: k !<
1345
1346	REAL(wp) :: sbt !<
1347
1348
1349	!
1350	!-- If required, calculate cloud microphysical impacts
1351	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
1352	( intermediate_timestep_count == 1 .OR. &
1353	call_microphysics_at_all_substeps ) &
1354	) THEN
1355	CALL cpu_log( log_point(51), 'microphysics', 'start' )
1356	CALL microphysics_control
1357	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
1358	ENDIF
1359
1360	!
1361	!-- u-velocity component
1362	CALL cpu_log( log_point(5), 'u-equation', 'start' )
1363
1364	tend = 0.0_wp
1365	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1366	IF ( ws_scheme_mom ) THEN
1367	CALL advec_u_ws
1368	ELSE
1369	CALL advec_u_pw
1370	ENDIF
1371	ELSE
1372	CALL advec_u_up
1373	ENDIF
1374	CALL diffusion_u
1375	CALL coriolis( 1 )
1376	IF ( sloping_surface .AND. .NOT. neutral ) THEN
1377	CALL buoyancy( pt, 1 )
1378	ENDIF
1379
1380	!
1381	!-- Drag by plant canopy
1382	IF ( plant_canopy ) CALL pcm_tendency( 1 )
1383
1384	!
1385	!-- External pressure gradient
1386	IF ( dp_external ) THEN
1387	DO i = nxlu, nxr
1388	DO j = nys, nyn
1389	DO k = dp_level_ind_b+1, nzt
1390	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
1391	ENDDO
1392	ENDDO
1393	ENDDO
1394	ENDIF
1395
1396	!
1397	!-- Nudging
1398	IF ( nudging ) CALL nudge( simulated_time, 'u' )
1399
1400	!
1401	!-- Forces by wind turbines
1402	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
1403
1404	CALL user_actions( 'u-tendency' )
1405
1406	!
1407	!-- Prognostic equation for u-velocity component
1408	DO i = nxlu, nxr
1409	DO j = nys, nyn
1410	DO k = nzb+1, nzt
1411	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1412	tsc(3) * tu_m(k,j,i) ) &
1413	- tsc(5) * rdf(k) * &
1414	( u(k,j,i) - u_init(k) ) &
1415	) * MERGE( 1.0_wp, 0.0_wp, &
1416	BTEST( wall_flags_0(k,j,i), 1 ) &
1417	)
1418	ENDDO
1419	ENDDO
1420	ENDDO
1421
1422	!
1423	!-- Calculate tendencies for the next Runge-Kutta step
1424	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1425	IF ( intermediate_timestep_count == 1 ) THEN
1426	DO i = nxlu, nxr
1427	DO j = nys, nyn
1428	DO k = nzb+1, nzt
1429	tu_m(k,j,i) = tend(k,j,i)
1430	ENDDO
1431	ENDDO
1432	ENDDO
1433	ELSEIF ( intermediate_timestep_count < &
1434	intermediate_timestep_count_max ) THEN
1435	DO i = nxlu, nxr
1436	DO j = nys, nyn
1437	DO k = nzb+1, nzt
1438	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1439	+ 5.3125_wp * tu_m(k,j,i)
1440	ENDDO
1441	ENDDO
1442	ENDDO
1443	ENDIF
1444	ENDIF
1445
1446	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
1447
1448	!
1449	!-- v-velocity component
1450	CALL cpu_log( log_point(6), 'v-equation', 'start' )
1451
1452	tend = 0.0_wp
1453	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1454	IF ( ws_scheme_mom ) THEN
1455	CALL advec_v_ws
1456	ELSE
1457	CALL advec_v_pw
1458	END IF
1459	ELSE
1460	CALL advec_v_up
1461	ENDIF
1462	CALL diffusion_v
1463	CALL coriolis( 2 )
1464
1465	!
1466	!-- Drag by plant canopy
1467	IF ( plant_canopy ) CALL pcm_tendency( 2 )
1468
1469	!
1470	!-- External pressure gradient
1471	IF ( dp_external ) THEN
1472	DO i = nxl, nxr
1473	DO j = nysv, nyn
1474	DO k = dp_level_ind_b+1, nzt
1475	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
1476	ENDDO
1477	ENDDO
1478	ENDDO
1479	ENDIF
1480
1481	!
1482	!-- Nudging
1483	IF ( nudging ) CALL nudge( simulated_time, 'v' )
1484
1485	!
1486	!-- Forces by wind turbines
1487	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
1488
1489	CALL user_actions( 'v-tendency' )
1490
1491	!
1492	!-- Prognostic equation for v-velocity component
1493	DO i = nxl, nxr
1494	DO j = nysv, nyn
1495	DO k = nzb+1, nzt
1496	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1497	tsc(3) * tv_m(k,j,i) ) &
1498	- tsc(5) * rdf(k) * &
1499	( v(k,j,i) - v_init(k) ) &
1500	) * MERGE( 1.0_wp, 0.0_wp, &
1501	BTEST( wall_flags_0(k,j,i), 2 )&
1502	)
1503	ENDDO
1504	ENDDO
1505	ENDDO
1506
1507	!
1508	!-- Calculate tendencies for the next Runge-Kutta step
1509	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1510	IF ( intermediate_timestep_count == 1 ) THEN
1511	DO i = nxl, nxr
1512	DO j = nysv, nyn
1513	DO k = nzb+1, nzt
1514	tv_m(k,j,i) = tend(k,j,i)
1515	ENDDO
1516	ENDDO
1517	ENDDO
1518	ELSEIF ( intermediate_timestep_count < &
1519	intermediate_timestep_count_max ) THEN
1520	DO i = nxl, nxr
1521	DO j = nysv, nyn
1522	DO k = nzb+1, nzt
1523	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1524	+ 5.3125_wp * tv_m(k,j,i)
1525	ENDDO
1526	ENDDO
1527	ENDDO
1528	ENDIF
1529	ENDIF
1530
1531	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
1532
1533	!
1534	!-- w-velocity component
1535	CALL cpu_log( log_point(7), 'w-equation', 'start' )
1536
1537	tend = 0.0_wp
1538	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1539	IF ( ws_scheme_mom ) THEN
1540	CALL advec_w_ws
1541	ELSE
1542	CALL advec_w_pw
1543	ENDIF
1544	ELSE
1545	CALL advec_w_up
1546	ENDIF
1547	CALL diffusion_w
1548	CALL coriolis( 3 )
1549
1550	IF ( .NOT. neutral ) THEN
1551	IF ( ocean ) THEN
1552	CALL buoyancy( rho_ocean, 3 )
1553	ELSE
1554	IF ( .NOT. humidity ) THEN
1555	CALL buoyancy( pt, 3 )
1556	ELSE
1557	CALL buoyancy( vpt, 3 )
1558	ENDIF
1559	ENDIF
1560	ENDIF
1561
1562	!
1563	!-- Drag by plant canopy
1564	IF ( plant_canopy ) CALL pcm_tendency( 3 )
1565
1566	!
1567	!-- Forces by wind turbines
1568	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
1569
1570	CALL user_actions( 'w-tendency' )
1571
1572	!
1573	!-- Prognostic equation for w-velocity component
1574	DO i = nxl, nxr
1575	DO j = nys, nyn
1576	DO k = nzb+1, nzt-1
1577	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1578	tsc(3) * tw_m(k,j,i) ) &
1579	- tsc(5) * rdf(k) * w(k,j,i) &
1580	) * MERGE( 1.0_wp, 0.0_wp, &
1581	BTEST( wall_flags_0(k,j,i), 3 )&
1582	)
1583	ENDDO
1584	ENDDO
1585	ENDDO
1586
1587	!
1588	!-- Calculate tendencies for the next Runge-Kutta step
1589	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1590	IF ( intermediate_timestep_count == 1 ) THEN
1591	DO i = nxl, nxr
1592	DO j = nys, nyn
1593	DO k = nzb+1, nzt-1
1594	tw_m(k,j,i) = tend(k,j,i)
1595	ENDDO
1596	ENDDO
1597	ENDDO
1598	ELSEIF ( intermediate_timestep_count < &
1599	intermediate_timestep_count_max ) THEN
1600	DO i = nxl, nxr
1601	DO j = nys, nyn
1602	DO k = nzb+1, nzt-1
1603	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1604	+ 5.3125_wp * tw_m(k,j,i)
1605	ENDDO
1606	ENDDO
1607	ENDDO
1608	ENDIF
1609	ENDIF
1610
1611	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
1612
1613
1614	!
1615	!-- If required, compute prognostic equation for potential temperature
1616	IF ( .NOT. neutral ) THEN
1617
1618	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
1619
1620	!
1621	!-- pt-tendency terms with communication
1622	sbt = tsc(2)
1623	IF ( scalar_advec == 'bc-scheme' ) THEN
1624
1625	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1626	!
1627	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1628	sbt = 1.0_wp
1629	ENDIF
1630	tend = 0.0_wp
1631	CALL advec_s_bc( pt, 'pt' )
1632
1633	ENDIF
1634
1635	!
1636	!-- pt-tendency terms with no communication
1637	IF ( scalar_advec /= 'bc-scheme' ) THEN
1638	tend = 0.0_wp
1639	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1640	IF ( ws_scheme_sca ) THEN
1641	CALL advec_s_ws( pt, 'pt' )
1642	ELSE
1643	CALL advec_s_pw( pt )
1644	ENDIF
1645	ELSE
1646	CALL advec_s_up( pt )
1647	ENDIF
1648	ENDIF
1649
1650	CALL diffusion_s( pt, &
1651	surf_def_h(0)%shf, surf_def_h(1)%shf, &
1652	surf_def_h(2)%shf, &
1653	surf_lsm_h%shf, surf_usm_h%shf, &
1654	surf_def_v(0)%shf, surf_def_v(1)%shf, &
1655	surf_def_v(2)%shf, surf_def_v(3)%shf, &
1656	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
1657	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
1658	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
1659	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
1660	!
1661	!-- If required compute heating/cooling due to long wave radiation processes
1662	IF ( cloud_top_radiation ) THEN
1663	CALL calc_radiation
1664	ENDIF
1665
1666	!
1667	!-- Consideration of heat sources within the plant canopy
1668	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
1669	CALL pcm_tendency( 4 )
1670	ENDIF
1671
1672	!
1673	!-- Large scale advection
1674	IF ( large_scale_forcing ) THEN
1675	CALL ls_advec( simulated_time, 'pt' )
1676	ENDIF
1677
1678	!
1679	!-- Nudging
1680	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
1681
1682	!
1683	!-- If required compute influence of large-scale subsidence/ascent
1684	IF ( large_scale_subsidence .AND. &
1685	.NOT. use_subsidence_tendencies ) THEN
1686	CALL subsidence( tend, pt, pt_init, 2 )
1687	ENDIF
1688
1689	!
1690	!-- If required, add tendency due to radiative heating/cooling
1691	IF ( radiation .AND. &
1692	simulated_time > skip_time_do_radiation ) THEN
1693	CALL radiation_tendency ( tend )
1694	ENDIF
1695
1696	CALL user_actions( 'pt-tendency' )
1697
1698	!
1699	!-- Prognostic equation for potential temperature
1700	DO i = nxl, nxr
1701	DO j = nys, nyn
1702	DO k = nzb+1, nzt
1703	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1704	tsc(3) * tpt_m(k,j,i) ) &
1705	- tsc(5) * &
1706	( pt(k,j,i) - pt_init(k) ) *&
1707	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
1708	) &
1709	* MERGE( 1.0_wp, 0.0_wp, &
1710	BTEST( wall_flags_0(k,j,i), 0 ) &
1711	)
1712	ENDDO
1713	ENDDO
1714	ENDDO
1715
1716	!
1717	!-- Calculate tendencies for the next Runge-Kutta step
1718	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1719	IF ( intermediate_timestep_count == 1 ) THEN
1720	DO i = nxl, nxr
1721	DO j = nys, nyn
1722	DO k = nzb+1, nzt
1723	tpt_m(k,j,i) = tend(k,j,i)
1724	ENDDO
1725	ENDDO
1726	ENDDO
1727	ELSEIF ( intermediate_timestep_count < &
1728	intermediate_timestep_count_max ) THEN
1729	DO i = nxl, nxr
1730	DO j = nys, nyn
1731	DO k = nzb+1, nzt
1732	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1733	5.3125_wp * tpt_m(k,j,i)
1734	ENDDO
1735	ENDDO
1736	ENDDO
1737	ENDIF
1738	ENDIF
1739
1740	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
1741
1742	ENDIF
1743
1744	!
1745	!-- If required, compute prognostic equation for salinity
1746	IF ( ocean ) THEN
1747
1748	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
1749
1750	!
1751	!-- sa-tendency terms with communication
1752	sbt = tsc(2)
1753	IF ( scalar_advec == 'bc-scheme' ) THEN
1754
1755	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1756	!
1757	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1758	sbt = 1.0_wp
1759	ENDIF
1760	tend = 0.0_wp
1761	CALL advec_s_bc( sa, 'sa' )
1762
1763	ENDIF
1764
1765	!
1766	!-- sa-tendency terms with no communication
1767	IF ( scalar_advec /= 'bc-scheme' ) THEN
1768	tend = 0.0_wp
1769	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1770	IF ( ws_scheme_sca ) THEN
1771	CALL advec_s_ws( sa, 'sa' )
1772	ELSE
1773	CALL advec_s_pw( sa )
1774	ENDIF
1775	ELSE
1776	CALL advec_s_up( sa )
1777	ENDIF
1778	ENDIF
1779
1780	CALL diffusion_s( sa, &
1781	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
1782	surf_def_h(2)%sasws, &
1783	surf_lsm_h%sasws, surf_usm_h%sasws, &
1784	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
1785	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
1786	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
1787	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
1788	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
1789	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
1790
1791	CALL user_actions( 'sa-tendency' )
1792
1793	!
1794	!-- Prognostic equation for salinity
1795	DO i = nxl, nxr
1796	DO j = nys, nyn
1797	DO k = nzb+1, nzt
1798	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1799	tsc(3) * tsa_m(k,j,i) ) &
1800	- tsc(5) * rdf_sc(k) * &
1801	( sa(k,j,i) - sa_init(k) ) &
1802	) &
1803	* MERGE( 1.0_wp, 0.0_wp, &
1804	BTEST( wall_flags_0(k,j,i), 0 ) &
1805	)
1806	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
1807	ENDDO
1808	ENDDO
1809	ENDDO
1810
1811	!
1812	!-- Calculate tendencies for the next Runge-Kutta step
1813	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1814	IF ( intermediate_timestep_count == 1 ) THEN
1815	DO i = nxl, nxr
1816	DO j = nys, nyn
1817	DO k = nzb+1, nzt
1818	tsa_m(k,j,i) = tend(k,j,i)
1819	ENDDO
1820	ENDDO
1821	ENDDO
1822	ELSEIF ( intermediate_timestep_count < &
1823	intermediate_timestep_count_max ) THEN
1824	DO i = nxl, nxr
1825	DO j = nys, nyn
1826	DO k = nzb+1, nzt
1827	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1828	5.3125_wp * tsa_m(k,j,i)
1829	ENDDO
1830	ENDDO
1831	ENDDO
1832	ENDIF
1833	ENDIF
1834
1835	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
1836
1837	!
1838	!-- Calculate density by the equation of state for seawater
1839	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
1840	CALL eqn_state_seawater
1841	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
1842
1843	ENDIF
1844
1845	!
1846	!-- If required, compute prognostic equation for total water content
1847	IF ( humidity ) THEN
1848
1849	CALL cpu_log( log_point(29), 'q-equation', 'start' )
1850
1851	!
1852	!-- Scalar/q-tendency terms with communication
1853	sbt = tsc(2)
1854	IF ( scalar_advec == 'bc-scheme' ) THEN
1855
1856	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1857	!
1858	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1859	sbt = 1.0_wp
1860	ENDIF
1861	tend = 0.0_wp
1862	CALL advec_s_bc( q, 'q' )
1863
1864	ENDIF
1865
1866	!
1867	!-- Scalar/q-tendency terms with no communication
1868	IF ( scalar_advec /= 'bc-scheme' ) THEN
1869	tend = 0.0_wp
1870	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1871	IF ( ws_scheme_sca ) THEN
1872	CALL advec_s_ws( q, 'q' )
1873	ELSE
1874	CALL advec_s_pw( q )
1875	ENDIF
1876	ELSE
1877	CALL advec_s_up( q )
1878	ENDIF
1879	ENDIF
1880
1881	CALL diffusion_s( q, &
1882	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
1883	surf_def_h(2)%qsws, &
1884	surf_lsm_h%qsws, surf_usm_h%qsws, &
1885	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
1886	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
1887	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
1888	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
1889	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
1890	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
1891
1892	!
1893	!-- Sink or source of humidity due to canopy elements
1894	IF ( plant_canopy ) CALL pcm_tendency( 5 )
1895
1896	!
1897	!-- Large scale advection
1898	IF ( large_scale_forcing ) THEN
1899	CALL ls_advec( simulated_time, 'q' )
1900	ENDIF
1901
1902	!
1903	!-- Nudging
1904	IF ( nudging ) CALL nudge( simulated_time, 'q' )
1905
1906	!
1907	!-- If required compute influence of large-scale subsidence/ascent
1908	IF ( large_scale_subsidence .AND. &
1909	.NOT. use_subsidence_tendencies ) THEN
1910	CALL subsidence( tend, q, q_init, 3 )
1911	ENDIF
1912
1913	CALL user_actions( 'q-tendency' )
1914
1915	!
1916	!-- Prognostic equation for total water content
1917	DO i = nxl, nxr
1918	DO j = nys, nyn
1919	DO k = nzb+1, nzt
1920	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1921	tsc(3) * tq_m(k,j,i) ) &
1922	- tsc(5) * rdf_sc(k) * &
1923	( q(k,j,i) - q_init(k) ) &
1924	) * MERGE( 1.0_wp, 0.0_wp, &
1925	BTEST( wall_flags_0(k,j,i), 0 ) &
1926	)
1927	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
1928	ENDDO
1929	ENDDO
1930	ENDDO
1931
1932	!
1933	!-- Calculate tendencies for the next Runge-Kutta step
1934	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1935	IF ( intermediate_timestep_count == 1 ) THEN
1936	DO i = nxl, nxr
1937	DO j = nys, nyn
1938	DO k = nzb+1, nzt
1939	tq_m(k,j,i) = tend(k,j,i)
1940	ENDDO
1941	ENDDO
1942	ENDDO
1943	ELSEIF ( intermediate_timestep_count < &
1944	intermediate_timestep_count_max ) THEN
1945	DO i = nxl, nxr
1946	DO j = nys, nyn
1947	DO k = nzb+1, nzt
1948	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1949	+ 5.3125_wp * tq_m(k,j,i)
1950	ENDDO
1951	ENDDO
1952	ENDDO
1953	ENDIF
1954	ENDIF
1955
1956	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
1957
1958	!
1959	!-- If required, calculate prognostic equations for cloud water content
1960	!-- and cloud drop concentration
1961	IF ( cloud_physics .AND. microphysics_morrison ) THEN
1962
1963	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
1964
1965	!
1966	!-- Calculate prognostic equation for cloud water content
1967	sbt = tsc(2)
1968	IF ( scalar_advec == 'bc-scheme' ) THEN
1969
1970	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1971	!
1972	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1973	sbt = 1.0_wp
1974	ENDIF
1975	tend = 0.0_wp
1976	CALL advec_s_bc( qc, 'qc' )
1977
1978	ENDIF
1979
1980	!
1981	!-- qc-tendency terms with no communication
1982	IF ( scalar_advec /= 'bc-scheme' ) THEN
1983	tend = 0.0_wp
1984	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1985	IF ( ws_scheme_sca ) THEN
1986	CALL advec_s_ws( qc, 'qc' )
1987	ELSE
1988	CALL advec_s_pw( qc )
1989	ENDIF
1990	ELSE
1991	CALL advec_s_up( qc )
1992	ENDIF
1993	ENDIF
1994
1995	CALL diffusion_s( qc, &
1996	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
1997	surf_def_h(2)%qcsws, &
1998	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
1999	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
2000	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
2001	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
2002	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
2003	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
2004	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
2005
2006	!
2007	!-- Prognostic equation for cloud water content
2008	DO i = nxl, nxr
2009	DO j = nys, nyn
2010	DO k = nzb+1, nzt
2011	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2012	tsc(3) * tqc_m(k,j,i) ) &
2013	- tsc(5) * rdf_sc(k) * &
2014	qc(k,j,i) &
2015	) &
2016	* MERGE( 1.0_wp, 0.0_wp, &
2017	BTEST( wall_flags_0(k,j,i), 0 ) &
2018	)
2019	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
2020	ENDDO
2021	ENDDO
2022	ENDDO
2023
2024	!
2025	!-- Calculate tendencies for the next Runge-Kutta step
2026	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2027	IF ( intermediate_timestep_count == 1 ) THEN
2028	DO i = nxl, nxr
2029	DO j = nys, nyn
2030	DO k = nzb+1, nzt
2031	tqc_m(k,j,i) = tend(k,j,i)
2032	ENDDO
2033	ENDDO
2034	ENDDO
2035	ELSEIF ( intermediate_timestep_count < &
2036	intermediate_timestep_count_max ) THEN
2037	DO i = nxl, nxr
2038	DO j = nys, nyn
2039	DO k = nzb+1, nzt
2040	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2041	+ 5.3125_wp * tqc_m(k,j,i)
2042	ENDDO
2043	ENDDO
2044	ENDDO
2045	ENDIF
2046	ENDIF
2047
2048	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
2049	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
2050
2051	!
2052	!-- Calculate prognostic equation for cloud drop concentration
2053	sbt = tsc(2)
2054	IF ( scalar_advec == 'bc-scheme' ) THEN
2055
2056	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2057	!
2058	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2059	sbt = 1.0_wp
2060	ENDIF
2061	tend = 0.0_wp
2062	CALL advec_s_bc( nc, 'nc' )
2063
2064	ENDIF
2065
2066	!
2067	!-- nc-tendency terms with no communication
2068	IF ( scalar_advec /= 'bc-scheme' ) THEN
2069	tend = 0.0_wp
2070	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2071	IF ( ws_scheme_sca ) THEN
2072	CALL advec_s_ws( nc, 'nc' )
2073	ELSE
2074	CALL advec_s_pw( nc )
2075	ENDIF
2076	ELSE
2077	CALL advec_s_up( nc )
2078	ENDIF
2079	ENDIF
2080
2081	CALL diffusion_s( nc, &
2082	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
2083	surf_def_h(2)%ncsws, &
2084	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
2085	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
2086	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
2087	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
2088	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
2089	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
2090	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
2091
2092	!
2093	!-- Prognostic equation for cloud drop concentration
2094	DO i = nxl, nxr
2095	DO j = nys, nyn
2096	DO k = nzb+1, nzt
2097	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2098	tsc(3) * tnc_m(k,j,i) ) &
2099	- tsc(5) * rdf_sc(k) * &
2100	nc(k,j,i) &
2101	) &
2102	* MERGE( 1.0_wp, 0.0_wp, &
2103	BTEST( wall_flags_0(k,j,i), 0 ) &
2104	)
2105	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
2106	ENDDO
2107	ENDDO
2108	ENDDO
2109
2110	!
2111	!-- Calculate tendencies for the next Runge-Kutta step
2112	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2113	IF ( intermediate_timestep_count == 1 ) THEN
2114	DO i = nxl, nxr
2115	DO j = nys, nyn
2116	DO k = nzb+1, nzt
2117	tnc_m(k,j,i) = tend(k,j,i)
2118	ENDDO
2119	ENDDO
2120	ENDDO
2121	ELSEIF ( intermediate_timestep_count < &
2122	intermediate_timestep_count_max ) THEN
2123	DO i = nxl, nxr
2124	DO j = nys, nyn
2125	DO k = nzb+1, nzt
2126	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2127	+ 5.3125_wp * tnc_m(k,j,i)
2128	ENDDO
2129	ENDDO
2130	ENDDO
2131	ENDIF
2132	ENDIF
2133
2134	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
2135
2136	ENDIF
2137	!
2138	!-- If required, calculate prognostic equations for rain water content
2139	!-- and rain drop concentration
2140	IF ( cloud_physics .AND. microphysics_seifert ) THEN
2141
2142	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
2143
2144	!
2145	!-- Calculate prognostic equation for rain water content
2146	sbt = tsc(2)
2147	IF ( scalar_advec == 'bc-scheme' ) THEN
2148
2149	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2150	!
2151	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2152	sbt = 1.0_wp
2153	ENDIF
2154	tend = 0.0_wp
2155	CALL advec_s_bc( qr, 'qr' )
2156
2157	ENDIF
2158
2159	!
2160	!-- qr-tendency terms with no communication
2161	IF ( scalar_advec /= 'bc-scheme' ) THEN
2162	tend = 0.0_wp
2163	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2164	IF ( ws_scheme_sca ) THEN
2165	CALL advec_s_ws( qr, 'qr' )
2166	ELSE
2167	CALL advec_s_pw( qr )
2168	ENDIF
2169	ELSE
2170	CALL advec_s_up( qr )
2171	ENDIF
2172	ENDIF
2173
2174	CALL diffusion_s( qr, &
2175	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
2176	surf_def_h(2)%qrsws, &
2177	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
2178	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
2179	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
2180	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
2181	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
2182	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
2183	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
2184
2185	!
2186	!-- Prognostic equation for rain water content
2187	DO i = nxl, nxr
2188	DO j = nys, nyn
2189	DO k = nzb+1, nzt
2190	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2191	tsc(3) * tqr_m(k,j,i) ) &
2192	- tsc(5) * rdf_sc(k) * &
2193	qr(k,j,i) &
2194	) &
2195	* MERGE( 1.0_wp, 0.0_wp, &
2196	BTEST( wall_flags_0(k,j,i), 0 ) &
2197	)
2198	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
2199	ENDDO
2200	ENDDO
2201	ENDDO
2202
2203	!
2204	!-- Calculate tendencies for the next Runge-Kutta step
2205	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2206	IF ( intermediate_timestep_count == 1 ) THEN
2207	DO i = nxl, nxr
2208	DO j = nys, nyn
2209	DO k = nzb+1, nzt
2210	tqr_m(k,j,i) = tend(k,j,i)
2211	ENDDO
2212	ENDDO
2213	ENDDO
2214	ELSEIF ( intermediate_timestep_count < &
2215	intermediate_timestep_count_max ) THEN
2216	DO i = nxl, nxr
2217	DO j = nys, nyn
2218	DO k = nzb+1, nzt
2219	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2220	+ 5.3125_wp * tqr_m(k,j,i)
2221	ENDDO
2222	ENDDO
2223	ENDDO
2224	ENDIF
2225	ENDIF
2226
2227	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
2228	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
2229
2230	!
2231	!-- Calculate prognostic equation for rain drop concentration
2232	sbt = tsc(2)
2233	IF ( scalar_advec == 'bc-scheme' ) THEN
2234
2235	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2236	!
2237	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2238	sbt = 1.0_wp
2239	ENDIF
2240	tend = 0.0_wp
2241	CALL advec_s_bc( nr, 'nr' )
2242
2243	ENDIF
2244
2245	!
2246	!-- nr-tendency terms with no communication
2247	IF ( scalar_advec /= 'bc-scheme' ) THEN
2248	tend = 0.0_wp
2249	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2250	IF ( ws_scheme_sca ) THEN
2251	CALL advec_s_ws( nr, 'nr' )
2252	ELSE
2253	CALL advec_s_pw( nr )
2254	ENDIF
2255	ELSE
2256	CALL advec_s_up( nr )
2257	ENDIF
2258	ENDIF
2259
2260	CALL diffusion_s( nr, &
2261	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
2262	surf_def_h(2)%nrsws, &
2263	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
2264	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
2265	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
2266	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
2267	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
2268	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
2269	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
2270
2271	!
2272	!-- Prognostic equation for rain drop concentration
2273	DO i = nxl, nxr
2274	DO j = nys, nyn
2275	DO k = nzb+1, nzt
2276	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2277	tsc(3) * tnr_m(k,j,i) ) &
2278	- tsc(5) * rdf_sc(k) * &
2279	nr(k,j,i) &
2280	) &
2281	* MERGE( 1.0_wp, 0.0_wp, &
2282	BTEST( wall_flags_0(k,j,i), 0 ) &
2283	)
2284	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
2285	ENDDO
2286	ENDDO
2287	ENDDO
2288
2289	!
2290	!-- Calculate tendencies for the next Runge-Kutta step
2291	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2292	IF ( intermediate_timestep_count == 1 ) THEN
2293	DO i = nxl, nxr
2294	DO j = nys, nyn
2295	DO k = nzb+1, nzt
2296	tnr_m(k,j,i) = tend(k,j,i)
2297	ENDDO
2298	ENDDO
2299	ENDDO
2300	ELSEIF ( intermediate_timestep_count < &
2301	intermediate_timestep_count_max ) THEN
2302	DO i = nxl, nxr
2303	DO j = nys, nyn
2304	DO k = nzb+1, nzt
2305	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2306	+ 5.3125_wp * tnr_m(k,j,i)
2307	ENDDO
2308	ENDDO
2309	ENDDO
2310	ENDIF
2311	ENDIF
2312
2313	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
2314
2315	ENDIF
2316
2317	ENDIF
2318	!
2319	!-- If required, compute prognostic equation for scalar
2320	IF ( passive_scalar ) THEN
2321
2322	CALL cpu_log( log_point(66), 's-equation', 'start' )
2323
2324	!
2325	!-- Scalar/q-tendency terms with communication
2326	sbt = tsc(2)
2327	IF ( scalar_advec == 'bc-scheme' ) THEN
2328
2329	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
2330	!
2331	!-- Bott-Chlond scheme always uses Euler time step. Thus:
2332	sbt = 1.0_wp
2333	ENDIF
2334	tend = 0.0_wp
2335	CALL advec_s_bc( s, 's' )
2336
2337	ENDIF
2338
2339	!
2340	!-- Scalar/q-tendency terms with no communication
2341	IF ( scalar_advec /= 'bc-scheme' ) THEN
2342	tend = 0.0_wp
2343	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2344	IF ( ws_scheme_sca ) THEN
2345	CALL advec_s_ws( s, 's' )
2346	ELSE
2347	CALL advec_s_pw( s )
2348	ENDIF
2349	ELSE
2350	CALL advec_s_up( s )
2351	ENDIF
2352	ENDIF
2353
2354	CALL diffusion_s( s, &
2355	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
2356	surf_def_h(2)%ssws, &
2357	surf_lsm_h%ssws, surf_usm_h%ssws, &
2358	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
2359	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
2360	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
2361	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
2362	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
2363	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
2364
2365	!
2366	!-- Sink or source of humidity due to canopy elements
2367	IF ( plant_canopy ) CALL pcm_tendency( 7 )
2368
2369	!
2370	!-- Large scale advection. Not implemented for scalars so far.
2371	! IF ( large_scale_forcing ) THEN
2372	! CALL ls_advec( simulated_time, 'q' )
2373	! ENDIF
2374
2375	!
2376	!-- Nudging. Not implemented for scalars so far.
2377	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
2378
2379	!
2380	!-- If required compute influence of large-scale subsidence/ascent.
2381	!-- Not implemented for scalars so far.
2382	IF ( large_scale_subsidence .AND. &
2383	.NOT. use_subsidence_tendencies .AND. &
2384	.NOT. large_scale_forcing ) THEN
2385	CALL subsidence( tend, s, s_init, 3 )
2386	ENDIF
2387
2388	CALL user_actions( 's-tendency' )
2389
2390	!
2391	!-- Prognostic equation for total water content
2392	DO i = nxl, nxr
2393	DO j = nys, nyn
2394	DO k = nzb+1, nzt
2395	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
2396	tsc(3) * ts_m(k,j,i) ) &
2397	- tsc(5) * rdf_sc(k) * &
2398	( s(k,j,i) - s_init(k) ) &
2399	) &
2400	* MERGE( 1.0_wp, 0.0_wp, &
2401	BTEST( wall_flags_0(k,j,i), 0 ) &
2402	)
2403	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
2404	ENDDO
2405	ENDDO
2406	ENDDO
2407
2408	!
2409	!-- Calculate tendencies for the next Runge-Kutta step
2410	IF ( timestep_scheme(1:5) == 'runge' ) THEN
2411	IF ( intermediate_timestep_count == 1 ) THEN
2412	DO i = nxl, nxr
2413	DO j = nys, nyn
2414	DO k = nzb+1, nzt
2415	ts_m(k,j,i) = tend(k,j,i)
2416	ENDDO
2417	ENDDO
2418	ENDDO
2419	ELSEIF ( intermediate_timestep_count < &
2420	intermediate_timestep_count_max ) THEN
2421	DO i = nxl, nxr
2422	DO j = nys, nyn
2423	DO k = nzb+1, nzt
2424	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
2425	+ 5.3125_wp * ts_m(k,j,i)
2426	ENDDO
2427	ENDDO
2428	ENDDO
2429	ENDIF
2430	ENDIF
2431
2432	CALL cpu_log( log_point(66), 's-equation', 'stop' )
2433
2434	ENDIF
2435
2436	CALL tcm_prognostic()
2437
2438
2439	END SUBROUTINE prognostic_equations_vector
2440
2441
2442	END MODULE prognostic_equations_mod

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