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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 3014

Last change on this file since 3014 was 3014, checked in by maronga, 6 years ago
series of bugfixes
Property svn:keywords set to `Id`
File size: 94.6 KB

Rev	Line
[1873]	1	!> @file prognostic_equations.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1875]	4	!
[2000]	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.
[1875]	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	!
[2718]	17	! Copyright 1997-2018 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1875]	19	!
	20	! Current revisions:
	21	! ------------------
[2156]	22	!
[2233]	23	!
[1875]	24	! Former revisions:
	25	! -----------------
	26	! $Id: prognostic_equations.f90 3014 2018-05-09 08:42:38Z maronga $
[3014]	27	! Fixed a bug in the IF condition to call pcm_tendency in case of
	28	! potential temperature
	29	!
	30	! 2815 2018-02-19 11:29:57Z kanani
[2815]	31	! Rename chem_tendency to chem_prognostic_equations,
	32	! implement vector version for air chemistry
	33	!
	34	! 2766 2018-01-22 17:17:47Z kanani
[2766]	35	! Removed preprocessor directive __chem
	36	!
	37	! 2746 2018-01-15 12:06:04Z suehring
[2746]	38	! Move flag plant canopy to modules
	39	!
	40	! 2719 2018-01-02 09:02:06Z maronga
[2719]	41	! Bugfix for last change.
	42	!
	43	! 2718 2018-01-02 08:49:38Z maronga
[2716]	44	! Corrected "Former revisions" section
	45	!
	46	! 2696 2017-12-14 17:12:51Z kanani
	47	! - Change in file header (GPL part)
[2696]	48	! - Moved TKE equation to tcm_prognostic (TG)
	49	! - Added switch for chemical reactions (RF, FK)
	50	! - Implementation of chemistry module (RF, BK, FK)
	51	!
	52	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	53	! Variable wind_turbine moved to module control_parameters
	54	!
	55	! 2320 2017-07-21 12:47:43Z suehring
[2320]	56	! Modularize large-scale forcing and nudging
	57	!
	58	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	59	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	60	! includes two more prognostic equations for cloud drop concentration (nc)
	61	! and cloud water content (qc).
	62	!
	63	! 2261 2017-06-08 14:25:57Z raasch
[2261]	64	! bugfix for r2232: openmp directives removed
	65	!
	66	! 2233 2017-05-30 18:08:54Z suehring
[1875]	67	!
[2233]	68	! 2232 2017-05-30 17:47:52Z suehring
	69	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
	70	! which is realized directly in diffusion_s now.
	71	!
[2193]	72	! 2192 2017-03-22 04:14:10Z raasch
	73	! Bugfix for misplaced and missing openMP directives from r2155
	74	!
[2156]	75	! 2155 2017-02-21 09:57:40Z hoffmann
	76	! Bugfix in the calculation of microphysical quantities on ghost points.
	77	!
[2119]	78	! 2118 2017-01-17 16:38:49Z raasch
	79	! OpenACC version of subroutine removed
[2155]	80	!
[2032]	81	! 2031 2016-10-21 15:11:58Z knoop
	82	! renamed variable rho to rho_ocean
[2155]	83	!
[2012]	84	! 2011 2016-09-19 17:29:57Z kanani
	85	! Flag urban_surface is now defined in module control_parameters.
[2155]	86	!
[2008]	87	! 2007 2016-08-24 15:47:17Z kanani
	88	! Added pt tendency calculation based on energy balance at urban surfaces
	89	! (new urban surface model)
[2155]	90	!
[2001]	91	! 2000 2016-08-20 18:09:15Z knoop
	92	! Forced header and separation lines into 80 columns
[2155]	93	!
[1977]	94	! 1976 2016-07-27 13:28:04Z maronga
	95	! Simplied calls to radiation model
[2155]	96	!
[1961]	97	! 1960 2016-07-12 16:34:24Z suehring
	98	! Separate humidity and passive scalar
[2155]	99	!
[1917]	100	! 1914 2016-05-26 14:44:07Z witha
	101	! Added calls for wind turbine model
	102	!
[1874]	103	! 1873 2016-04-18 14:50:06Z maronga
	104	! Module renamed (removed _mod)
[2155]	105	!
[1851]	106	! 1850 2016-04-08 13:29:27Z maronga
	107	! Module renamed
[2155]	108	!
[1827]	109	! 1826 2016-04-07 12:01:39Z maronga
[1875]	110	! Renamed canopy model calls.
[2155]	111	!
[1875]	112	! 1822 2016-04-07 07:49:42Z hoffmann
	113	! Kessler microphysics scheme moved to microphysics.
	114	!
	115	! 1757 2016-02-22 15:49:32Z maronga
[2155]	116	!
[1875]	117	! 1691 2015-10-26 16:17:44Z maronga
	118	! Added optional model spin-up without radiation / land surface model calls.
	119	! Formatting corrections.
[2155]	120	!
[1875]	121	! 1682 2015-10-07 23:56:08Z knoop
[2155]	122	! Code annotations made doxygen readable
	123	!
[1875]	124	! 1585 2015-04-30 07:05:52Z maronga
	125	! Added call for temperature tendency calculation due to radiative flux divergence
[2155]	126	!
[1875]	127	! 1517 2015-01-07 19:12:25Z hoffmann
	128	! advec_s_bc_mod addded, since advec_s_bc is now a module
	129	!
	130	! 1496 2014-12-02 17:25:50Z maronga
	131	! Renamed "radiation" -> "cloud_top_radiation"
[2155]	132	!
[1875]	133	! 1484 2014-10-21 10:53:05Z kanani
	134	! Changes due to new module structure of the plant canopy model:
[2696]	135	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
[1875]	136	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	137	! control_parameters
[2155]	138	!
[1875]	139	! 1409 2014-05-23 12:11:32Z suehring
[2155]	140	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
[1875]	141	! This ensures that left-hand side fluxes are also calculated for nxl in that
[2155]	142	! case, even though the solution at nxl is overwritten in boundary_conds()
	143	!
[1875]	144	! 1398 2014-05-07 11:15:00Z heinze
	145	! Rayleigh-damping for horizontal velocity components changed: instead of damping
[2155]	146	! against ug and vg, damping against u_init and v_init is used to allow for a
[1875]	147	! homogenized treatment in case of nudging
[2155]	148	!
[1875]	149	! 1380 2014-04-28 12:40:45Z heinze
[2155]	150	! Change order of calls for scalar prognostic quantities:
	151	! ls_advec -> nudging -> subsidence since initial profiles
	152	!
[1875]	153	! 1374 2014-04-25 12:55:07Z raasch
	154	! missing variables added to ONLY lists
[2155]	155	!
[1875]	156	! 1365 2014-04-22 15:03:56Z boeske
[2155]	157	! Calls of ls_advec for large scale advection added,
[1875]	158	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	159	! new argument ls_index added to the calls of subsidence
	160	! +ls_index
[2155]	161	!
[1875]	162	! 1361 2014-04-16 15:17:48Z hoffmann
	163	! Two-moment microphysics moved to the start of prognostic equations. This makes
	164	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	165	! Additionally, it is allowed to call the microphysics just once during the time
	166	! step (not at each sub-time step).
	167	!
	168	! Two-moment cloud physics added for vector and accelerator optimization.
[2155]	169	!
[1875]	170	! 1353 2014-04-08 15:21:23Z heinze
	171	! REAL constants provided with KIND-attribute
[2155]	172	!
[1875]	173	! 1337 2014-03-25 15:11:48Z heinze
	174	! Bugfix: REAL constants provided with KIND-attribute
[2155]	175	!
[1875]	176	! 1332 2014-03-25 11:59:43Z suehring
[2155]	177	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	178	!
[1875]	179	! 1330 2014-03-24 17:29:32Z suehring
[2155]	180	! In case of SGS-particle velocity advection of TKE is also allowed with
[1875]	181	! dissipative 5th-order scheme.
	182	!
	183	! 1320 2014-03-20 08:40:49Z raasch
	184	! ONLY-attribute added to USE-statements,
	185	! kind-parameters added to all INTEGER and REAL declaration statements,
	186	! kinds are defined in new module kinds,
	187	! old module precision_kind is removed,
	188	! revision history before 2012 removed,
	189	! comment fields (!:) to be used for variable explanations added to
	190	! all variable declaration statements
	191	!
	192	! 1318 2014-03-17 13:35:16Z raasch
	193	! module interfaces removed
	194	!
	195	! 1257 2013-11-08 15:18:40Z raasch
	196	! openacc loop vector clauses removed, independent clauses added
	197	!
	198	! 1246 2013-11-01 08:59:45Z heinze
	199	! enable nudging also for accelerator version
	200	!
	201	! 1241 2013-10-30 11:36:58Z heinze
	202	! usage of nudging enabled (so far not implemented for accelerator version)
	203	!
	204	! 1179 2013-06-14 05:57:58Z raasch
	205	! two arguments removed from routine buoyancy, ref_state updated on device
	206	!
	207	! 1128 2013-04-12 06:19:32Z raasch
	208	! those parts requiring global communication moved to time_integration,
	209	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	210	! j_north
	211	!
	212	! 1115 2013-03-26 18:16:16Z hoffmann
[2155]	213	! optimized cloud physics: calculation of microphysical tendencies transfered
[1875]	214	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	215	!
	216	! 1111 2013-03-08 23:54:10Z raasch
	217	! update directives for prognostic quantities removed
	218	!
	219	! 1106 2013-03-04 05:31:38Z raasch
	220	! small changes in code formatting
	221	!
	222	! 1092 2013-02-02 11:24:22Z raasch
	223	! unused variables removed
	224	!
	225	! 1053 2012-11-13 17:11:03Z hoffmann
	226	! implementation of two new prognostic equations for rain drop concentration (nr)
	227	! and rain water content (qr)
	228	!
	229	! currently, only available for cache loop optimization
	230	!
	231	! 1036 2012-10-22 13:43:42Z raasch
	232	! code put under GPL (PALM 3.9)
	233	!
	234	! 1019 2012-09-28 06:46:45Z raasch
	235	! non-optimized version of prognostic_equations removed
	236	!
	237	! 1015 2012-09-27 09:23:24Z raasch
	238	! new branch prognostic_equations_acc
	239	! OpenACC statements added + code changes required for GPU optimization
	240	!
	241	! 1001 2012-09-13 14:08:46Z raasch
	242	! all actions concerning leapfrog- and upstream-spline-scheme removed
	243	!
	244	! 978 2012-08-09 08:28:32Z fricke
	245	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	246	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	247	! boundary in case of non-cyclic lateral boundaries
	248	! Bugfix: first thread index changes for WS-scheme at the inflow
	249	!
	250	! 940 2012-07-09 14:31:00Z raasch
	251	! temperature equation can be switched off
	252	!
	253	! Revision 1.1 2000/04/13 14:56:27 schroeter
	254	! Initial revision
	255	!
	256	!
	257	! Description:
	258	! ------------
	259	!> Solving the prognostic equations.
	260	!------------------------------------------------------------------------------!
	261	MODULE prognostic_equations_mod
	262
	263
[2155]	264
[1875]	265	USE arrays_3d, &
[2292]	266	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
	267	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
	268	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
	269	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
	270	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
	271	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
	272	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
	273	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
	274	ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, tend, &
	275	te_m, tnc_m, tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tsa_m, &
	276	tu_m, tv_m, tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, &
	277	w, w_p
[2155]	278
[2696]	279	USE chemistry_model_mod, &
[2815]	280	ONLY: chem_integrate, chem_prognostic_equations, &
	281	chem_species, nspec, nvar, spc_names
[2696]	282
	283	USE chem_photolysis_mod, &
	284	ONLY: photolysis_control
	285
	286	USE chem_modules, &
	287	ONLY: call_chem_at_all_substeps, chem_gasphase_on
	288
[1875]	289	USE control_parameters, &
[2696]	290	ONLY: air_chemistry, call_microphysics_at_all_substeps, &
	291	cloud_physics, cloud_top_radiation, constant_diffusion, &
	292	dp_external, dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, &
	293	humidity, &
[1875]	294	inflow_l, intermediate_timestep_count, &
	295	intermediate_timestep_count_max, large_scale_forcing, &
[2746]	296	large_scale_subsidence, microphysics_morrison, &
	297	microphysics_seifert, microphysics_sat_adjust, neutral, nudging,&
	298	ocean, outflow_l, outflow_s, passive_scalar, plant_canopy, &
	299	prho_reference, prho_reference, &
[1875]	300	prho_reference, pt_reference, pt_reference, pt_reference, &
	301	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[2232]	302	timestep_scheme, tsc, use_subsidence_tendencies, &
[2563]	303	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
[3014]	304	ws_scheme_sca, urban_surface, land_surface
[1875]	305
	306	USE cpulog, &
[2696]	307	ONLY: cpu_log, log_point, log_point_s
[1875]	308
[2696]	309
[1875]	310	USE eqn_state_seawater_mod, &
	311	ONLY: eqn_state_seawater
	312
	313	USE indices, &
[2696]	314	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
	315	nzb, nzt, wall_flags_0
[1875]	316
	317	USE advec_ws, &
[2118]	318	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
[1875]	319
	320	USE advec_s_bc_mod, &
	321	ONLY: advec_s_bc
	322
	323	USE advec_s_pw_mod, &
	324	ONLY: advec_s_pw
	325
	326	USE advec_s_up_mod, &
	327	ONLY: advec_s_up
	328
	329	USE advec_u_pw_mod, &
	330	ONLY: advec_u_pw
	331
	332	USE advec_u_up_mod, &
	333	ONLY: advec_u_up
	334
	335	USE advec_v_pw_mod, &
	336	ONLY: advec_v_pw
	337
	338	USE advec_v_up_mod, &
	339	ONLY: advec_v_up
	340
	341	USE advec_w_pw_mod, &
	342	ONLY: advec_w_pw
	343
	344	USE advec_w_up_mod, &
	345	ONLY: advec_w_up
	346
	347	USE buoyancy_mod, &
[2118]	348	ONLY: buoyancy
[1875]	349
	350	USE calc_radiation_mod, &
	351	ONLY: calc_radiation
[2155]	352
[1875]	353	USE coriolis_mod, &
[2118]	354	ONLY: coriolis
[1875]	355
	356	USE diffusion_s_mod, &
[2118]	357	ONLY: diffusion_s
[1875]	358
	359	USE diffusion_u_mod, &
[2118]	360	ONLY: diffusion_u
[1875]	361
	362	USE diffusion_v_mod, &
[2118]	363	ONLY: diffusion_v
[1875]	364
	365	USE diffusion_w_mod, &
[2118]	366	ONLY: diffusion_w
[1875]	367
	368	USE kinds
	369
[2320]	370	USE lsf_nudging_mod, &
	371	ONLY: ls_advec, nudge
[1875]	372
	373	USE microphysics_mod, &
	374	ONLY: microphysics_control
	375
	376	USE plant_canopy_model_mod, &
[2746]	377	ONLY: cthf, pcm_tendency
[1875]	378
	379	USE radiation_model_mod, &
[1976]	380	ONLY: radiation, radiation_tendency, &
[1875]	381	skip_time_do_radiation
	382
	383	USE statistics, &
	384	ONLY: hom
	385
	386	USE subsidence_mod, &
	387	ONLY: subsidence
	388
[2696]	389	USE turbulence_closure_mod, &
	390	ONLY: tcm_prognostic
	391
[1875]	392	USE user_actions_mod, &
	393	ONLY: user_actions
	394
[2232]	395	USE surface_mod, &
	396	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	397	surf_usm_v
	398
[1914]	399	USE wind_turbine_model_mod, &
[2563]	400	ONLY: wtm_tendencies
[1875]	401
[1914]	402
[1875]	403	PRIVATE
[2118]	404	PUBLIC prognostic_equations_cache, prognostic_equations_vector
[1875]	405
	406	INTERFACE prognostic_equations_cache
	407	MODULE PROCEDURE prognostic_equations_cache
	408	END INTERFACE prognostic_equations_cache
	409
	410	INTERFACE prognostic_equations_vector
	411	MODULE PROCEDURE prognostic_equations_vector
	412	END INTERFACE prognostic_equations_vector
	413
	414
	415	CONTAINS
	416
	417
	418	!------------------------------------------------------------------------------!
	419	! Description:
	420	! ------------
	421	!> Version with one optimized loop over all equations. It is only allowed to
	422	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	423	!>
	424	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	425	!> so communication between CPUs is not allowed (does not make sense) within
	426	!> these loops.
	427	!>
	428	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	429	!------------------------------------------------------------------------------!
[2155]	430
[1875]	431	SUBROUTINE prognostic_equations_cache
	432
	433
	434	IMPLICIT NONE
	435
	436	INTEGER(iwp) :: i !<
	437	INTEGER(iwp) :: i_omp_start !<
	438	INTEGER(iwp) :: j !<
	439	INTEGER(iwp) :: k !<
	440	INTEGER(iwp) :: omp_get_thread_num !<
	441	INTEGER(iwp) :: tn = 0 !<
[2155]	442
[1875]	443	LOGICAL :: loop_start !<
[2696]	444	INTEGER :: n, lsp !< lsp running index for chem spcs
[1875]	445
	446
	447	!
	448	!-- Time measurement can only be performed for the whole set of equations
	449	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	450
	451	!
[2696]	452	!-- Calculation of chemical reactions. This is done outside of main loop,
	453	!-- since exchange of ghost points is required after this update of the
	454	!-- concentrations of chemical species
	455	IF ( air_chemistry ) THEN
	456	!
	457	!-- If required, calculate photolysis frequencies -
	458	!-- UNFINISHED: Why not before the intermediate timestep loop?
	459	IF ( intermediate_timestep_count == 1 ) THEN
	460	CALL photolysis_control
	461	ENDIF
	462	!
	463	!-- Chemical reactions
	464	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'start' )
	465
	466	IF ( chem_gasphase_on ) THEN
	467	DO i = nxl, nxr
	468	DO j = nys, nyn
	469
	470	IF ( intermediate_timestep_count == 1 .OR. &
	471	call_chem_at_all_substeps ) THEN
	472	CALL chem_integrate (i,j)
	473	ENDIF
	474	ENDDO
	475	ENDDO
	476	ENDIF
	477	!
	478	!-- Loop over chemical species
	479	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'start' )
	480	DO n = 1, nspec
	481	CALL exchange_horiz( chem_species(n)%conc, nbgp )
	482	ENDDO
	483	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'stop' )
	484
	485	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'stop' )
	486
	487	ENDIF
	488
	489	!
[2155]	490	!-- If required, calculate cloud microphysics
	491	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	492	( intermediate_timestep_count == 1 .OR. &
[2192]	493	call_microphysics_at_all_substeps ) ) &
	494	THEN
[2261]	495	!$OMP PARALLEL PRIVATE (i,j)
[2192]	496	!$OMP DO
[2155]	497	DO i = nxlg, nxrg
	498	DO j = nysg, nyng
	499	CALL microphysics_control( i, j )
[2192]	500	ENDDO
	501	ENDDO
	502	!$OMP END PARALLEL
[2155]	503	ENDIF
	504
[2192]	505	!
	506	!-- Loop over all prognostic equations
[2261]	507	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
[2192]	508
	509	!$ tn = omp_get_thread_num()
	510	loop_start = .TRUE.
	511
	512	!$OMP DO
[1875]	513	DO i = nxl, nxr
	514
	515	!
	516	!-- Store the first loop index. It differs for each thread and is required
	517	!-- later in advec_ws
	518	IF ( loop_start ) THEN
	519	loop_start = .FALSE.
[2155]	520	i_omp_start = i
[1875]	521	ENDIF
	522
	523	DO j = nys, nyn
	524	!
	525	!-- Tendency terms for u-velocity component
	526	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	527
	528	tend(:,j,i) = 0.0_wp
	529	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	530	IF ( ws_scheme_mom ) THEN
	531	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	532	ELSE
[1875]	533	CALL advec_u_pw( i, j )
[2155]	534	ENDIF
[1875]	535	ELSE
	536	CALL advec_u_up( i, j )
	537	ENDIF
	538	CALL diffusion_u( i, j )
	539	CALL coriolis( i, j, 1 )
	540	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	541	CALL buoyancy( i, j, pt, 1 )
	542	ENDIF
	543
	544	!
	545	!-- Drag by plant canopy
	546	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	547
	548	!
	549	!-- External pressure gradient
	550	IF ( dp_external ) THEN
	551	DO k = dp_level_ind_b+1, nzt
	552	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	553	ENDDO
	554	ENDIF
	555
	556	!
	557	!-- Nudging
	558	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	559
[1914]	560	!
	561	!-- Forces by wind turbines
	562	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	563
[1875]	564	CALL user_actions( i, j, 'u-tendency' )
	565	!
	566	!-- Prognostic equation for u-velocity component
[2232]	567	DO k = nzb+1, nzt
	568
	569	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
	570	( tsc(2) * tend(k,j,i) + &
	571	tsc(3) * tu_m(k,j,i) ) &
	572	- tsc(5) * rdf(k) &
	573	* ( u(k,j,i) - u_init(k) ) &
	574	) * MERGE( 1.0_wp, 0.0_wp, &
	575	BTEST( wall_flags_0(k,j,i), 1 )&
	576	)
[1875]	577	ENDDO
	578
	579	!
	580	!-- Calculate tendencies for the next Runge-Kutta step
	581	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	582	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	583	DO k = nzb+1, nzt
[1875]	584	tu_m(k,j,i) = tend(k,j,i)
	585	ENDDO
	586	ELSEIF ( intermediate_timestep_count < &
	587	intermediate_timestep_count_max ) THEN
[2232]	588	DO k = nzb+1, nzt
	589	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	590	+ 5.3125_wp * tu_m(k,j,i)
[1875]	591	ENDDO
	592	ENDIF
	593	ENDIF
	594
	595	ENDIF
	596
	597	!
	598	!-- Tendency terms for v-velocity component
	599	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	600
	601	tend(:,j,i) = 0.0_wp
	602	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	603	IF ( ws_scheme_mom ) THEN
	604	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	605	ELSE
[1875]	606	CALL advec_v_pw( i, j )
	607	ENDIF
	608	ELSE
	609	CALL advec_v_up( i, j )
	610	ENDIF
	611	CALL diffusion_v( i, j )
	612	CALL coriolis( i, j, 2 )
	613
	614	!
	615	!-- Drag by plant canopy
[2155]	616	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	617
	618	!
	619	!-- External pressure gradient
	620	IF ( dp_external ) THEN
	621	DO k = dp_level_ind_b+1, nzt
	622	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	623	ENDDO
	624	ENDIF
	625
	626	!
	627	!-- Nudging
	628	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	629
[1914]	630	!
	631	!-- Forces by wind turbines
	632	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	633
[1875]	634	CALL user_actions( i, j, 'v-tendency' )
	635	!
	636	!-- Prognostic equation for v-velocity component
[2232]	637	DO k = nzb+1, nzt
	638	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
	639	( tsc(2) * tend(k,j,i) + &
	640	tsc(3) * tv_m(k,j,i) ) &
	641	- tsc(5) * rdf(k) &
	642	* ( v(k,j,i) - v_init(k) )&
	643	) * MERGE( 1.0_wp, 0.0_wp, &
	644	BTEST( wall_flags_0(k,j,i), 2 )&
	645	)
[1875]	646	ENDDO
	647
	648	!
	649	!-- Calculate tendencies for the next Runge-Kutta step
	650	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	651	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	652	DO k = nzb+1, nzt
[1875]	653	tv_m(k,j,i) = tend(k,j,i)
	654	ENDDO
	655	ELSEIF ( intermediate_timestep_count < &
	656	intermediate_timestep_count_max ) THEN
[2232]	657	DO k = nzb+1, nzt
	658	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	659	+ 5.3125_wp * tv_m(k,j,i)
[1875]	660	ENDDO
	661	ENDIF
	662	ENDIF
	663
	664	ENDIF
	665
	666	!
	667	!-- Tendency terms for w-velocity component
	668	tend(:,j,i) = 0.0_wp
	669	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	670	IF ( ws_scheme_mom ) THEN
	671	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	672	ELSE
[1875]	673	CALL advec_w_pw( i, j )
	674	END IF
	675	ELSE
	676	CALL advec_w_up( i, j )
	677	ENDIF
	678	CALL diffusion_w( i, j )
	679	CALL coriolis( i, j, 3 )
	680
	681	IF ( .NOT. neutral ) THEN
	682	IF ( ocean ) THEN
[2031]	683	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	684	ELSE
	685	IF ( .NOT. humidity ) THEN
	686	CALL buoyancy( i, j, pt, 3 )
	687	ELSE
	688	CALL buoyancy( i, j, vpt, 3 )
	689	ENDIF
	690	ENDIF
	691	ENDIF
	692
	693	!
	694	!-- Drag by plant canopy
	695	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	696
[1914]	697	!
	698	!-- Forces by wind turbines
	699	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	700
[1875]	701	CALL user_actions( i, j, 'w-tendency' )
	702	!
	703	!-- Prognostic equation for w-velocity component
[2232]	704	DO k = nzb+1, nzt-1
	705	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
	706	( tsc(2) * tend(k,j,i) + &
[1875]	707	tsc(3) * tw_m(k,j,i) ) &
[2232]	708	- tsc(5) * rdf(k) * w(k,j,i) &
	709	) * MERGE( 1.0_wp, 0.0_wp, &
	710	BTEST( wall_flags_0(k,j,i), 3 )&
	711	)
[1875]	712	ENDDO
	713
	714	!
	715	!-- Calculate tendencies for the next Runge-Kutta step
	716	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	717	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	718	DO k = nzb+1, nzt-1
[1875]	719	tw_m(k,j,i) = tend(k,j,i)
	720	ENDDO
	721	ELSEIF ( intermediate_timestep_count < &
	722	intermediate_timestep_count_max ) THEN
[2232]	723	DO k = nzb+1, nzt-1
	724	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	725	+ 5.3125_wp * tw_m(k,j,i)
[1875]	726	ENDDO
	727	ENDIF
	728	ENDIF
	729
	730	!
	731	!-- If required, compute prognostic equation for potential temperature
	732	IF ( .NOT. neutral ) THEN
	733	!
	734	!-- Tendency terms for potential temperature
	735	tend(:,j,i) = 0.0_wp
	736	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	737	IF ( ws_scheme_sca ) THEN
[2232]	738	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
[1875]	739	flux_l_pt, diss_l_pt, i_omp_start, tn )
	740	ELSE
	741	CALL advec_s_pw( i, j, pt )
	742	ENDIF
	743	ELSE
	744	CALL advec_s_up( i, j, pt )
	745	ENDIF
[2232]	746	CALL diffusion_s( i, j, pt, &
	747	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	748	surf_def_h(2)%shf, &
	749	surf_lsm_h%shf, surf_usm_h%shf, &
	750	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	751	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	752	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	753	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	754	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	755	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	756	!
	757	!-- If required compute heating/cooling due to long wave radiation
	758	!-- processes
	759	IF ( cloud_top_radiation ) THEN
	760	CALL calc_radiation( i, j )
	761	ENDIF
	762
	763	!
	764	!-- Consideration of heat sources within the plant canopy
[3014]	765	IF ( plant_canopy .AND. &
	766	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
[1875]	767	CALL pcm_tendency( i, j, 4 )
	768	ENDIF
	769
	770	!
	771	!-- Large scale advection
	772	IF ( large_scale_forcing ) THEN
	773	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	774	ENDIF
[1875]	775
	776	!
	777	!-- Nudging
[2155]	778	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	779
	780	!
	781	!-- If required, compute effect of large-scale subsidence/ascent
	782	IF ( large_scale_subsidence .AND. &
	783	.NOT. use_subsidence_tendencies ) THEN
	784	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	785	ENDIF
	786
	787	!
	788	!-- If required, add tendency due to radiative heating/cooling
[1976]	789	IF ( radiation .AND. &
[1875]	790	simulated_time > skip_time_do_radiation ) THEN
	791	CALL radiation_tendency ( i, j, tend )
	792	ENDIF
	793
	794
	795	CALL user_actions( i, j, 'pt-tendency' )
	796	!
	797	!-- Prognostic equation for potential temperature
[2232]	798	DO k = nzb+1, nzt
	799	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
	800	( tsc(2) * tend(k,j,i) + &
[1875]	801	tsc(3) * tpt_m(k,j,i) ) &
[2232]	802	- tsc(5) &
	803	* ( pt(k,j,i) - pt_init(k) ) &
	804	* ( rdf_sc(k) + ptdf_x(i) &
	805	+ ptdf_y(j) ) &
	806	) &
	807	* MERGE( 1.0_wp, 0.0_wp, &
	808	BTEST( wall_flags_0(k,j,i), 0 )&
	809	)
[1875]	810	ENDDO
	811
	812	!
	813	!-- Calculate tendencies for the next Runge-Kutta step
	814	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	815	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	816	DO k = nzb+1, nzt
[1875]	817	tpt_m(k,j,i) = tend(k,j,i)
	818	ENDDO
	819	ELSEIF ( intermediate_timestep_count < &
	820	intermediate_timestep_count_max ) THEN
[2232]	821	DO k = nzb+1, nzt
	822	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	823	5.3125_wp * tpt_m(k,j,i)
[1875]	824	ENDDO
	825	ENDIF
	826	ENDIF
	827
	828	ENDIF
	829
	830	!
	831	!-- If required, compute prognostic equation for salinity
	832	IF ( ocean ) THEN
	833
	834	!
	835	!-- Tendency-terms for salinity
	836	tend(:,j,i) = 0.0_wp
	837	IF ( timestep_scheme(1:5) == 'runge' ) &
	838	THEN
	839	IF ( ws_scheme_sca ) THEN
	840	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	841	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	842	ELSE
[1875]	843	CALL advec_s_pw( i, j, sa )
	844	ENDIF
	845	ELSE
	846	CALL advec_s_up( i, j, sa )
	847	ENDIF
[2232]	848	CALL diffusion_s( i, j, sa, &
	849	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	850	surf_def_h(2)%sasws, &
	851	surf_lsm_h%sasws, surf_usm_h%sasws, &
	852	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	853	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	854	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	855	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	856	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	857	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[1875]	858
	859	CALL user_actions( i, j, 'sa-tendency' )
	860
	861	!
	862	!-- Prognostic equation for salinity
[2232]	863	DO k = nzb+1, nzt
	864	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * &
	865	( tsc(2) * tend(k,j,i) + &
[1875]	866	tsc(3) * tsa_m(k,j,i) ) &
[2232]	867	- tsc(5) * rdf_sc(k) &
	868	* ( sa(k,j,i) - sa_init(k) )&
	869	) * MERGE( 1.0_wp, 0.0_wp, &
	870	BTEST( wall_flags_0(k,j,i), 0 )&
	871	)
[1875]	872	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	873	ENDDO
	874
	875	!
	876	!-- Calculate tendencies for the next Runge-Kutta step
	877	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	878	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	879	DO k = nzb+1, nzt
[1875]	880	tsa_m(k,j,i) = tend(k,j,i)
	881	ENDDO
	882	ELSEIF ( intermediate_timestep_count < &
	883	intermediate_timestep_count_max ) THEN
[2232]	884	DO k = nzb+1, nzt
	885	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	886	5.3125_wp * tsa_m(k,j,i)
	887	ENDDO
[1875]	888	ENDIF
	889	ENDIF
	890
	891	!
	892	!-- Calculate density by the equation of state for seawater
	893	CALL eqn_state_seawater( i, j )
	894
	895	ENDIF
	896
	897	!
[1960]	898	!-- If required, compute prognostic equation for total water content
	899	IF ( humidity ) THEN
[1875]	900
	901	!
	902	!-- Tendency-terms for total water content / scalar
	903	tend(:,j,i) = 0.0_wp
	904	IF ( timestep_scheme(1:5) == 'runge' ) &
	905	THEN
	906	IF ( ws_scheme_sca ) THEN
[2155]	907	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	908	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	909	ELSE
[1875]	910	CALL advec_s_pw( i, j, q )
	911	ENDIF
	912	ELSE
	913	CALL advec_s_up( i, j, q )
	914	ENDIF
[2232]	915	CALL diffusion_s( i, j, q, &
	916	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	917	surf_def_h(2)%qsws, &
	918	surf_lsm_h%qsws, surf_usm_h%qsws, &
	919	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	920	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	921	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	922	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	923	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	924	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[1875]	925
	926	!
[1960]	927	!-- Sink or source of humidity due to canopy elements
[1875]	928	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	929
	930	!
	931	!-- Large scale advection
	932	IF ( large_scale_forcing ) THEN
	933	CALL ls_advec( i, j, simulated_time, 'q' )
	934	ENDIF
	935
	936	!
	937	!-- Nudging
[2155]	938	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	939
	940	!
	941	!-- If required compute influence of large-scale subsidence/ascent
	942	IF ( large_scale_subsidence .AND. &
	943	.NOT. use_subsidence_tendencies ) THEN
	944	CALL subsidence( i, j, tend, q, q_init, 3 )
	945	ENDIF
	946
	947	CALL user_actions( i, j, 'q-tendency' )
	948
	949	!
	950	!-- Prognostic equation for total water content / scalar
[2232]	951	DO k = nzb+1, nzt
	952	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
	953	( tsc(2) * tend(k,j,i) + &
[1875]	954	tsc(3) * tq_m(k,j,i) ) &
[2232]	955	- tsc(5) * rdf_sc(k) * &
	956	( q(k,j,i) - q_init(k) ) &
	957	) &
	958	* MERGE( 1.0_wp, 0.0_wp, &
	959	BTEST( wall_flags_0(k,j,i), 0 )&
	960	)
[1875]	961	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	962	ENDDO
	963
	964	!
	965	!-- Calculate tendencies for the next Runge-Kutta step
	966	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	967	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	968	DO k = nzb+1, nzt
[1875]	969	tq_m(k,j,i) = tend(k,j,i)
	970	ENDDO
	971	ELSEIF ( intermediate_timestep_count < &
	972	intermediate_timestep_count_max ) THEN
[2232]	973	DO k = nzb+1, nzt
	974	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	975	5.3125_wp * tq_m(k,j,i)
[1875]	976	ENDDO
	977	ENDIF
	978	ENDIF
	979
	980	!
[2292]	981	!-- If required, calculate prognostic equations for cloud water content
	982	!-- and cloud drop concentration
	983	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	984	!
	985	!-- Calculate prognostic equation for cloud water content
	986	tend(:,j,i) = 0.0_wp
	987	IF ( timestep_scheme(1:5) == 'runge' ) &
	988	THEN
	989	IF ( ws_scheme_sca ) THEN
	990	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
	991	diss_s_qc, flux_l_qc, diss_l_qc, &
	992	i_omp_start, tn )
	993	ELSE
	994	CALL advec_s_pw( i, j, qc )
	995	ENDIF
	996	ELSE
	997	CALL advec_s_up( i, j, qc )
	998	ENDIF
	999	CALL diffusion_s( i, j, qc, &
	1000	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	1001	surf_def_h(2)%qcsws, &
	1002	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	1003	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	1004	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	1005	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	1006	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	1007	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	1008	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	1009
	1010	!
	1011	!-- Prognostic equation for cloud water content
	1012	DO k = nzb+1, nzt
	1013	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
	1014	( tsc(2) * tend(k,j,i) + &
	1015	tsc(3) * tqc_m(k,j,i) )&
	1016	- tsc(5) * rdf_sc(k) &
	1017	* qc(k,j,i) &
	1018	) &
	1019	* MERGE( 1.0_wp, 0.0_wp, &
	1020	BTEST( wall_flags_0(k,j,i), 0 )&
	1021	)
	1022	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	1023	ENDDO
	1024	!
	1025	!-- Calculate tendencies for the next Runge-Kutta step
	1026	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1027	IF ( intermediate_timestep_count == 1 ) THEN
	1028	DO k = nzb+1, nzt
	1029	tqc_m(k,j,i) = tend(k,j,i)
	1030	ENDDO
	1031	ELSEIF ( intermediate_timestep_count < &
	1032	intermediate_timestep_count_max ) THEN
	1033	DO k = nzb+1, nzt
	1034	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1035	5.3125_wp * tqc_m(k,j,i)
	1036	ENDDO
	1037	ENDIF
	1038	ENDIF
	1039
	1040	!
	1041	!-- Calculate prognostic equation for cloud drop concentration.
	1042	tend(:,j,i) = 0.0_wp
	1043	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1044	IF ( ws_scheme_sca ) THEN
	1045	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
	1046	diss_s_nc, flux_l_nc, diss_l_nc, &
	1047	i_omp_start, tn )
	1048	ELSE
	1049	CALL advec_s_pw( i, j, nc )
	1050	ENDIF
	1051	ELSE
	1052	CALL advec_s_up( i, j, nc )
	1053	ENDIF
	1054	CALL diffusion_s( i, j, nc, &
	1055	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	1056	surf_def_h(2)%ncsws, &
	1057	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	1058	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	1059	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	1060	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	1061	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	1062	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	1063	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	1064
	1065	!
	1066	!-- Prognostic equation for cloud drop concentration
	1067	DO k = nzb+1, nzt
	1068	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
	1069	( tsc(2) * tend(k,j,i) + &
	1070	tsc(3) * tnc_m(k,j,i) )&
	1071	- tsc(5) * rdf_sc(k) &
	1072	* nc(k,j,i) &
	1073	) &
	1074	* MERGE( 1.0_wp, 0.0_wp, &
	1075	BTEST( wall_flags_0(k,j,i), 0 )&
	1076	)
	1077	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	1078	ENDDO
	1079	!
	1080	!-- Calculate tendencies for the next Runge-Kutta step
	1081	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1082	IF ( intermediate_timestep_count == 1 ) THEN
	1083	DO k = nzb+1, nzt
	1084	tnc_m(k,j,i) = tend(k,j,i)
	1085	ENDDO
	1086	ELSEIF ( intermediate_timestep_count < &
	1087	intermediate_timestep_count_max ) THEN
	1088	DO k = nzb+1, nzt
	1089	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1090	5.3125_wp * tnc_m(k,j,i)
	1091	ENDDO
	1092	ENDIF
	1093	ENDIF
	1094
	1095	ENDIF
	1096	!
[2155]	1097	!-- If required, calculate prognostic equations for rain water content
[1875]	1098	!-- and rain drop concentration
	1099	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1100	!
	1101	!-- Calculate prognostic equation for rain water content
	1102	tend(:,j,i) = 0.0_wp
	1103	IF ( timestep_scheme(1:5) == 'runge' ) &
	1104	THEN
	1105	IF ( ws_scheme_sca ) THEN
[2155]	1106	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	1107	diss_s_qr, flux_l_qr, diss_l_qr, &
	1108	i_omp_start, tn )
[2155]	1109	ELSE
[1875]	1110	CALL advec_s_pw( i, j, qr )
	1111	ENDIF
	1112	ELSE
	1113	CALL advec_s_up( i, j, qr )
	1114	ENDIF
[2232]	1115	CALL diffusion_s( i, j, qr, &
	1116	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	1117	surf_def_h(2)%qrsws, &
	1118	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	1119	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	1120	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	1121	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	1122	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	1123	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	1124	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	1125
	1126	!
	1127	!-- Prognostic equation for rain water content
[2232]	1128	DO k = nzb+1, nzt
	1129	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
	1130	( tsc(2) * tend(k,j,i) + &
	1131	tsc(3) * tqr_m(k,j,i) )&
	1132	- tsc(5) * rdf_sc(k) &
	1133	* qr(k,j,i) &
	1134	) &
	1135	* MERGE( 1.0_wp, 0.0_wp, &
	1136	BTEST( wall_flags_0(k,j,i), 0 )&
	1137	)
[1875]	1138	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1139	ENDDO
	1140	!
	1141	!-- Calculate tendencies for the next Runge-Kutta step
	1142	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1143	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1144	DO k = nzb+1, nzt
[1875]	1145	tqr_m(k,j,i) = tend(k,j,i)
	1146	ENDDO
	1147	ELSEIF ( intermediate_timestep_count < &
	1148	intermediate_timestep_count_max ) THEN
[2232]	1149	DO k = nzb+1, nzt
	1150	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1151	5.3125_wp * tqr_m(k,j,i)
[1875]	1152	ENDDO
	1153	ENDIF
	1154	ENDIF
	1155
	1156	!
	1157	!-- Calculate prognostic equation for rain drop concentration.
	1158	tend(:,j,i) = 0.0_wp
	1159	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1160	IF ( ws_scheme_sca ) THEN
[2155]	1161	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	1162	diss_s_nr, flux_l_nr, diss_l_nr, &
	1163	i_omp_start, tn )
[2155]	1164	ELSE
[1875]	1165	CALL advec_s_pw( i, j, nr )
	1166	ENDIF
	1167	ELSE
	1168	CALL advec_s_up( i, j, nr )
	1169	ENDIF
[2232]	1170	CALL diffusion_s( i, j, nr, &
	1171	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	1172	surf_def_h(2)%nrsws, &
	1173	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	1174	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	1175	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	1176	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	1177	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	1178	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	1179	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	1180
	1181	!
	1182	!-- Prognostic equation for rain drop concentration
[2232]	1183	DO k = nzb+1, nzt
	1184	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
	1185	( tsc(2) * tend(k,j,i) + &
	1186	tsc(3) * tnr_m(k,j,i) )&
	1187	- tsc(5) * rdf_sc(k) &
	1188	* nr(k,j,i) &
	1189	) &
	1190	* MERGE( 1.0_wp, 0.0_wp, &
	1191	BTEST( wall_flags_0(k,j,i), 0 )&
	1192	)
[1875]	1193	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1194	ENDDO
	1195	!
	1196	!-- Calculate tendencies for the next Runge-Kutta step
	1197	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1198	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1199	DO k = nzb+1, nzt
[1875]	1200	tnr_m(k,j,i) = tend(k,j,i)
	1201	ENDDO
	1202	ELSEIF ( intermediate_timestep_count < &
	1203	intermediate_timestep_count_max ) THEN
[2232]	1204	DO k = nzb+1, nzt
	1205	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1206	5.3125_wp * tnr_m(k,j,i)
[1875]	1207	ENDDO
	1208	ENDIF
	1209	ENDIF
	1210
	1211	ENDIF
	1212
	1213	ENDIF
[2155]	1214
[1960]	1215	!
	1216	!-- If required, compute prognostic equation for scalar
	1217	IF ( passive_scalar ) THEN
	1218	!
	1219	!-- Tendency-terms for total water content / scalar
	1220	tend(:,j,i) = 0.0_wp
	1221	IF ( timestep_scheme(1:5) == 'runge' ) &
	1222	THEN
	1223	IF ( ws_scheme_sca ) THEN
[2155]	1224	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	1225	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	1226	ELSE
[1960]	1227	CALL advec_s_pw( i, j, s )
	1228	ENDIF
	1229	ELSE
	1230	CALL advec_s_up( i, j, s )
	1231	ENDIF
[2232]	1232	CALL diffusion_s( i, j, s, &
	1233	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	1234	surf_def_h(2)%ssws, &
	1235	surf_lsm_h%ssws, surf_usm_h%ssws, &
	1236	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	1237	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	1238	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	1239	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	1240	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	1241	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[1875]	1242
	1243	!
[1960]	1244	!-- Sink or source of scalar concentration due to canopy elements
	1245	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	1246
	1247	!
	1248	!-- Large scale advection, still need to be extended for scalars
	1249	! IF ( large_scale_forcing ) THEN
	1250	! CALL ls_advec( i, j, simulated_time, 's' )
	1251	! ENDIF
	1252
	1253	!
	1254	!-- Nudging, still need to be extended for scalars
[2155]	1255	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	1256
	1257	!
	1258	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	1259	!-- Note, the last argument is of no meaning in this case, as it is
	1260	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	1261	!-- date not implemented for scalars.
	1262	IF ( large_scale_subsidence .AND. &
	1263	.NOT. use_subsidence_tendencies .AND. &
	1264	.NOT. large_scale_forcing ) THEN
	1265	CALL subsidence( i, j, tend, s, s_init, 3 )
	1266	ENDIF
	1267
	1268	CALL user_actions( i, j, 's-tendency' )
	1269
	1270	!
	1271	!-- Prognostic equation for scalar
[2232]	1272	DO k = nzb+1, nzt
	1273	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
	1274	( tsc(2) * tend(k,j,i) + &
	1275	tsc(3) * ts_m(k,j,i) ) &
	1276	- tsc(5) * rdf_sc(k) &
	1277	* ( s(k,j,i) - s_init(k) )&
	1278	) &
	1279	* MERGE( 1.0_wp, 0.0_wp, &
	1280	BTEST( wall_flags_0(k,j,i), 0 )&
	1281	)
[1960]	1282	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1283	ENDDO
	1284
	1285	!
	1286	!-- Calculate tendencies for the next Runge-Kutta step
	1287	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1288	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1289	DO k = nzb+1, nzt
[1960]	1290	ts_m(k,j,i) = tend(k,j,i)
	1291	ENDDO
	1292	ELSEIF ( intermediate_timestep_count < &
	1293	intermediate_timestep_count_max ) THEN
[2232]	1294	DO k = nzb+1, nzt
	1295	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1296	5.3125_wp * ts_m(k,j,i)
[1960]	1297	ENDDO
	1298	ENDIF
	1299	ENDIF
	1300
[2155]	1301	ENDIF
[1960]	1302	!
[2696]	1303	!-- Calculate prognostic equations for turbulence closure
	1304	CALL tcm_prognostic( i, j, i_omp_start, tn )
[1875]	1305
	1306	!
[2696]	1307	!-- If required, compute prognostic equation for chemical quantites
	1308	IF ( air_chemistry ) THEN
	1309	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
[1875]	1310	!
[2696]	1311	!-- Loop over chemical species
[2815]	1312	DO lsp = 1, nvar
	1313	CALL chem_prognostic_equations ( chem_species(lsp)%conc_p, &
[2696]	1314	chem_species(lsp)%conc, &
	1315	chem_species(lsp)%tconc_m, &
	1316	chem_species(lsp)%conc_pr_init, &
	1317	i, j, i_omp_start, tn, lsp, &
	1318	chem_species(lsp)%flux_s_cs, &
	1319	chem_species(lsp)%diss_s_cs, &
	1320	chem_species(lsp)%flux_l_cs, &
	1321	chem_species(lsp)%diss_l_cs )
[1875]	1322	ENDDO
	1323
[2696]	1324	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
	1325	ENDIF ! Chemicals equations
[1875]	1326
	1327	ENDDO
	1328	ENDDO
[2192]	1329	!$OMP END PARALLEL
[1875]	1330
[2232]	1331
[1875]	1332	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1333
	1334
	1335	END SUBROUTINE prognostic_equations_cache
	1336
	1337
	1338	!------------------------------------------------------------------------------!
	1339	! Description:
	1340	! ------------
	1341	!> Version for vector machines
	1342	!------------------------------------------------------------------------------!
[2155]	1343
[1875]	1344	SUBROUTINE prognostic_equations_vector
	1345
	1346
	1347	IMPLICIT NONE
	1348
[2815]	1349	INTEGER(iwp) :: i !<
	1350	INTEGER(iwp) :: j !<
	1351	INTEGER(iwp) :: k !<
	1352	INTEGER(iwp) :: lsp !< running index for chemical species
[1875]	1353
	1354	REAL(wp) :: sbt !<
	1355
	1356
	1357	!
	1358	!-- If required, calculate cloud microphysical impacts
	1359	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1360	( intermediate_timestep_count == 1 .OR. &
	1361	call_microphysics_at_all_substeps ) &
	1362	) THEN
	1363	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1364	CALL microphysics_control
	1365	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1366	ENDIF
	1367
	1368	!
	1369	!-- u-velocity component
	1370	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1371
	1372	tend = 0.0_wp
	1373	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1374	IF ( ws_scheme_mom ) THEN
	1375	CALL advec_u_ws
	1376	ELSE
	1377	CALL advec_u_pw
	1378	ENDIF
	1379	ELSE
	1380	CALL advec_u_up
	1381	ENDIF
	1382	CALL diffusion_u
	1383	CALL coriolis( 1 )
	1384	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1385	CALL buoyancy( pt, 1 )
	1386	ENDIF
	1387
	1388	!
	1389	!-- Drag by plant canopy
	1390	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1391
	1392	!
	1393	!-- External pressure gradient
	1394	IF ( dp_external ) THEN
	1395	DO i = nxlu, nxr
	1396	DO j = nys, nyn
	1397	DO k = dp_level_ind_b+1, nzt
	1398	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1399	ENDDO
	1400	ENDDO
	1401	ENDDO
	1402	ENDIF
	1403
	1404	!
	1405	!-- Nudging
	1406	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1407
[1914]	1408	!
	1409	!-- Forces by wind turbines
	1410	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1411
[1875]	1412	CALL user_actions( 'u-tendency' )
	1413
	1414	!
	1415	!-- Prognostic equation for u-velocity component
	1416	DO i = nxlu, nxr
	1417	DO j = nys, nyn
[2232]	1418	DO k = nzb+1, nzt
	1419	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1420	tsc(3) * tu_m(k,j,i) ) &
	1421	- tsc(5) * rdf(k) * &
	1422	( u(k,j,i) - u_init(k) ) &
	1423	) * MERGE( 1.0_wp, 0.0_wp, &
	1424	BTEST( wall_flags_0(k,j,i), 1 ) &
	1425	)
[1875]	1426	ENDDO
	1427	ENDDO
	1428	ENDDO
	1429
	1430	!
	1431	!-- Calculate tendencies for the next Runge-Kutta step
	1432	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1433	IF ( intermediate_timestep_count == 1 ) THEN
	1434	DO i = nxlu, nxr
	1435	DO j = nys, nyn
[2232]	1436	DO k = nzb+1, nzt
[1875]	1437	tu_m(k,j,i) = tend(k,j,i)
	1438	ENDDO
	1439	ENDDO
	1440	ENDDO
	1441	ELSEIF ( intermediate_timestep_count < &
	1442	intermediate_timestep_count_max ) THEN
	1443	DO i = nxlu, nxr
	1444	DO j = nys, nyn
[2232]	1445	DO k = nzb+1, nzt
	1446	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1447	+ 5.3125_wp * tu_m(k,j,i)
[1875]	1448	ENDDO
	1449	ENDDO
	1450	ENDDO
	1451	ENDIF
	1452	ENDIF
	1453
	1454	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1455
	1456	!
	1457	!-- v-velocity component
	1458	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1459
	1460	tend = 0.0_wp
	1461	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1462	IF ( ws_scheme_mom ) THEN
	1463	CALL advec_v_ws
[2155]	1464	ELSE
[1875]	1465	CALL advec_v_pw
	1466	END IF
	1467	ELSE
	1468	CALL advec_v_up
	1469	ENDIF
	1470	CALL diffusion_v
	1471	CALL coriolis( 2 )
	1472
	1473	!
	1474	!-- Drag by plant canopy
	1475	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1476
	1477	!
	1478	!-- External pressure gradient
	1479	IF ( dp_external ) THEN
	1480	DO i = nxl, nxr
	1481	DO j = nysv, nyn
	1482	DO k = dp_level_ind_b+1, nzt
	1483	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1484	ENDDO
	1485	ENDDO
	1486	ENDDO
	1487	ENDIF
	1488
	1489	!
	1490	!-- Nudging
	1491	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1492
[1914]	1493	!
	1494	!-- Forces by wind turbines
	1495	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1496
[1875]	1497	CALL user_actions( 'v-tendency' )
	1498
	1499	!
	1500	!-- Prognostic equation for v-velocity component
	1501	DO i = nxl, nxr
	1502	DO j = nysv, nyn
[2232]	1503	DO k = nzb+1, nzt
	1504	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1505	tsc(3) * tv_m(k,j,i) ) &
	1506	- tsc(5) * rdf(k) * &
	1507	( v(k,j,i) - v_init(k) ) &
	1508	) * MERGE( 1.0_wp, 0.0_wp, &
	1509	BTEST( wall_flags_0(k,j,i), 2 )&
	1510	)
[1875]	1511	ENDDO
	1512	ENDDO
	1513	ENDDO
	1514
	1515	!
	1516	!-- Calculate tendencies for the next Runge-Kutta step
	1517	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1518	IF ( intermediate_timestep_count == 1 ) THEN
	1519	DO i = nxl, nxr
	1520	DO j = nysv, nyn
[2232]	1521	DO k = nzb+1, nzt
[1875]	1522	tv_m(k,j,i) = tend(k,j,i)
	1523	ENDDO
	1524	ENDDO
	1525	ENDDO
	1526	ELSEIF ( intermediate_timestep_count < &
	1527	intermediate_timestep_count_max ) THEN
	1528	DO i = nxl, nxr
	1529	DO j = nysv, nyn
[2232]	1530	DO k = nzb+1, nzt
	1531	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1532	+ 5.3125_wp * tv_m(k,j,i)
[1875]	1533	ENDDO
	1534	ENDDO
	1535	ENDDO
	1536	ENDIF
	1537	ENDIF
	1538
	1539	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1540
	1541	!
	1542	!-- w-velocity component
	1543	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1544
	1545	tend = 0.0_wp
	1546	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1547	IF ( ws_scheme_mom ) THEN
	1548	CALL advec_w_ws
	1549	ELSE
	1550	CALL advec_w_pw
	1551	ENDIF
	1552	ELSE
	1553	CALL advec_w_up
	1554	ENDIF
	1555	CALL diffusion_w
	1556	CALL coriolis( 3 )
	1557
	1558	IF ( .NOT. neutral ) THEN
	1559	IF ( ocean ) THEN
[2031]	1560	CALL buoyancy( rho_ocean, 3 )
[1875]	1561	ELSE
	1562	IF ( .NOT. humidity ) THEN
	1563	CALL buoyancy( pt, 3 )
	1564	ELSE
	1565	CALL buoyancy( vpt, 3 )
	1566	ENDIF
	1567	ENDIF
	1568	ENDIF
	1569
	1570	!
	1571	!-- Drag by plant canopy
	1572	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1573
[1914]	1574	!
	1575	!-- Forces by wind turbines
	1576	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1577
[1875]	1578	CALL user_actions( 'w-tendency' )
	1579
	1580	!
	1581	!-- Prognostic equation for w-velocity component
	1582	DO i = nxl, nxr
	1583	DO j = nys, nyn
[2232]	1584	DO k = nzb+1, nzt-1
	1585	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1586	tsc(3) * tw_m(k,j,i) ) &
	1587	- tsc(5) * rdf(k) * w(k,j,i) &
	1588	) * MERGE( 1.0_wp, 0.0_wp, &
	1589	BTEST( wall_flags_0(k,j,i), 3 )&
	1590	)
[1875]	1591	ENDDO
	1592	ENDDO
	1593	ENDDO
	1594
	1595	!
	1596	!-- Calculate tendencies for the next Runge-Kutta step
	1597	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1598	IF ( intermediate_timestep_count == 1 ) THEN
	1599	DO i = nxl, nxr
	1600	DO j = nys, nyn
[2232]	1601	DO k = nzb+1, nzt-1
[1875]	1602	tw_m(k,j,i) = tend(k,j,i)
	1603	ENDDO
	1604	ENDDO
	1605	ENDDO
	1606	ELSEIF ( intermediate_timestep_count < &
	1607	intermediate_timestep_count_max ) THEN
	1608	DO i = nxl, nxr
	1609	DO j = nys, nyn
[2232]	1610	DO k = nzb+1, nzt-1
	1611	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1612	+ 5.3125_wp * tw_m(k,j,i)
[1875]	1613	ENDDO
	1614	ENDDO
	1615	ENDDO
	1616	ENDIF
	1617	ENDIF
	1618
	1619	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1620
	1621
	1622	!
	1623	!-- If required, compute prognostic equation for potential temperature
	1624	IF ( .NOT. neutral ) THEN
	1625
	1626	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1627
	1628	!
	1629	!-- pt-tendency terms with communication
	1630	sbt = tsc(2)
	1631	IF ( scalar_advec == 'bc-scheme' ) THEN
	1632
	1633	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1634	!
	1635	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1636	sbt = 1.0_wp
	1637	ENDIF
	1638	tend = 0.0_wp
	1639	CALL advec_s_bc( pt, 'pt' )
	1640
	1641	ENDIF
	1642
	1643	!
	1644	!-- pt-tendency terms with no communication
	1645	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1646	tend = 0.0_wp
	1647	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1648	IF ( ws_scheme_sca ) THEN
	1649	CALL advec_s_ws( pt, 'pt' )
	1650	ELSE
	1651	CALL advec_s_pw( pt )
	1652	ENDIF
	1653	ELSE
	1654	CALL advec_s_up( pt )
	1655	ENDIF
	1656	ENDIF
	1657
[2232]	1658	CALL diffusion_s( pt, &
	1659	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	1660	surf_def_h(2)%shf, &
	1661	surf_lsm_h%shf, surf_usm_h%shf, &
	1662	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	1663	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	1664	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	1665	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	1666	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	1667	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	1668	!
	1669	!-- If required compute heating/cooling due to long wave radiation processes
	1670	IF ( cloud_top_radiation ) THEN
	1671	CALL calc_radiation
	1672	ENDIF
	1673
	1674	!
	1675	!-- Consideration of heat sources within the plant canopy
[3014]	1676	IF ( plant_canopy .AND. &
	1677	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
[1875]	1678	CALL pcm_tendency( 4 )
	1679	ENDIF
	1680
	1681	!
	1682	!-- Large scale advection
	1683	IF ( large_scale_forcing ) THEN
	1684	CALL ls_advec( simulated_time, 'pt' )
	1685	ENDIF
	1686
	1687	!
	1688	!-- Nudging
[2155]	1689	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1690
	1691	!
	1692	!-- If required compute influence of large-scale subsidence/ascent
	1693	IF ( large_scale_subsidence .AND. &
	1694	.NOT. use_subsidence_tendencies ) THEN
	1695	CALL subsidence( tend, pt, pt_init, 2 )
	1696	ENDIF
	1697
	1698	!
	1699	!-- If required, add tendency due to radiative heating/cooling
[1976]	1700	IF ( radiation .AND. &
[1875]	1701	simulated_time > skip_time_do_radiation ) THEN
	1702	CALL radiation_tendency ( tend )
	1703	ENDIF
	1704
	1705	CALL user_actions( 'pt-tendency' )
	1706
	1707	!
	1708	!-- Prognostic equation for potential temperature
	1709	DO i = nxl, nxr
	1710	DO j = nys, nyn
[2232]	1711	DO k = nzb+1, nzt
	1712	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1713	tsc(3) * tpt_m(k,j,i) ) &
	1714	- tsc(5) * &
	1715	( pt(k,j,i) - pt_init(k) ) *&
	1716	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
	1717	) &
	1718	* MERGE( 1.0_wp, 0.0_wp, &
	1719	BTEST( wall_flags_0(k,j,i), 0 ) &
	1720	)
[1875]	1721	ENDDO
	1722	ENDDO
	1723	ENDDO
	1724	!
	1725	!-- Calculate tendencies for the next Runge-Kutta step
	1726	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1727	IF ( intermediate_timestep_count == 1 ) THEN
	1728	DO i = nxl, nxr
	1729	DO j = nys, nyn
[2232]	1730	DO k = nzb+1, nzt
[1875]	1731	tpt_m(k,j,i) = tend(k,j,i)
	1732	ENDDO
	1733	ENDDO
	1734	ENDDO
	1735	ELSEIF ( intermediate_timestep_count < &
	1736	intermediate_timestep_count_max ) THEN
	1737	DO i = nxl, nxr
	1738	DO j = nys, nyn
[2232]	1739	DO k = nzb+1, nzt
	1740	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1741	5.3125_wp * tpt_m(k,j,i)
[1875]	1742	ENDDO
	1743	ENDDO
	1744	ENDDO
	1745	ENDIF
	1746	ENDIF
	1747
	1748	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1749
	1750	ENDIF
	1751
	1752	!
	1753	!-- If required, compute prognostic equation for salinity
	1754	IF ( ocean ) THEN
	1755
	1756	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1757
	1758	!
	1759	!-- sa-tendency terms with communication
	1760	sbt = tsc(2)
	1761	IF ( scalar_advec == 'bc-scheme' ) THEN
	1762
	1763	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1764	!
	1765	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1766	sbt = 1.0_wp
	1767	ENDIF
	1768	tend = 0.0_wp
	1769	CALL advec_s_bc( sa, 'sa' )
	1770
	1771	ENDIF
	1772
	1773	!
	1774	!-- sa-tendency terms with no communication
	1775	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1776	tend = 0.0_wp
	1777	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1778	IF ( ws_scheme_sca ) THEN
	1779	CALL advec_s_ws( sa, 'sa' )
	1780	ELSE
	1781	CALL advec_s_pw( sa )
	1782	ENDIF
	1783	ELSE
	1784	CALL advec_s_up( sa )
	1785	ENDIF
	1786	ENDIF
	1787
[2232]	1788	CALL diffusion_s( sa, &
	1789	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	1790	surf_def_h(2)%sasws, &
	1791	surf_lsm_h%sasws, surf_usm_h%sasws, &
	1792	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	1793	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	1794	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	1795	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	1796	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	1797	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[2155]	1798
[1875]	1799	CALL user_actions( 'sa-tendency' )
	1800
	1801	!
	1802	!-- Prognostic equation for salinity
	1803	DO i = nxl, nxr
	1804	DO j = nys, nyn
[2232]	1805	DO k = nzb+1, nzt
	1806	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1807	tsc(3) * tsa_m(k,j,i) ) &
	1808	- tsc(5) * rdf_sc(k) * &
	1809	( sa(k,j,i) - sa_init(k) ) &
	1810	) &
	1811	* MERGE( 1.0_wp, 0.0_wp, &
	1812	BTEST( wall_flags_0(k,j,i), 0 ) &
	1813	)
[1875]	1814	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1815	ENDDO
	1816	ENDDO
	1817	ENDDO
	1818
	1819	!
	1820	!-- Calculate tendencies for the next Runge-Kutta step
	1821	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1822	IF ( intermediate_timestep_count == 1 ) THEN
	1823	DO i = nxl, nxr
	1824	DO j = nys, nyn
[2232]	1825	DO k = nzb+1, nzt
[1875]	1826	tsa_m(k,j,i) = tend(k,j,i)
	1827	ENDDO
	1828	ENDDO
	1829	ENDDO
	1830	ELSEIF ( intermediate_timestep_count < &
	1831	intermediate_timestep_count_max ) THEN
	1832	DO i = nxl, nxr
	1833	DO j = nys, nyn
[2232]	1834	DO k = nzb+1, nzt
	1835	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1836	5.3125_wp * tsa_m(k,j,i)
[1875]	1837	ENDDO
	1838	ENDDO
	1839	ENDDO
	1840	ENDIF
	1841	ENDIF
	1842
	1843	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1844
	1845	!
	1846	!-- Calculate density by the equation of state for seawater
	1847	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1848	CALL eqn_state_seawater
	1849	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1850
	1851	ENDIF
	1852
	1853	!
[1960]	1854	!-- If required, compute prognostic equation for total water content
	1855	IF ( humidity ) THEN
[1875]	1856
[1960]	1857	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1858
	1859	!
	1860	!-- Scalar/q-tendency terms with communication
	1861	sbt = tsc(2)
	1862	IF ( scalar_advec == 'bc-scheme' ) THEN
	1863
	1864	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1865	!
	1866	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1867	sbt = 1.0_wp
	1868	ENDIF
	1869	tend = 0.0_wp
	1870	CALL advec_s_bc( q, 'q' )
	1871
	1872	ENDIF
	1873
	1874	!
	1875	!-- Scalar/q-tendency terms with no communication
	1876	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1877	tend = 0.0_wp
	1878	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1879	IF ( ws_scheme_sca ) THEN
	1880	CALL advec_s_ws( q, 'q' )
	1881	ELSE
	1882	CALL advec_s_pw( q )
	1883	ENDIF
	1884	ELSE
	1885	CALL advec_s_up( q )
	1886	ENDIF
	1887	ENDIF
	1888
[2232]	1889	CALL diffusion_s( q, &
	1890	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	1891	surf_def_h(2)%qsws, &
	1892	surf_lsm_h%qsws, surf_usm_h%qsws, &
	1893	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	1894	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	1895	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	1896	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	1897	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	1898	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[2155]	1899
[1875]	1900	!
[1960]	1901	!-- Sink or source of humidity due to canopy elements
[1875]	1902	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1903
	1904	!
	1905	!-- Large scale advection
	1906	IF ( large_scale_forcing ) THEN
	1907	CALL ls_advec( simulated_time, 'q' )
	1908	ENDIF
	1909
	1910	!
	1911	!-- Nudging
[2155]	1912	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1913
	1914	!
	1915	!-- If required compute influence of large-scale subsidence/ascent
	1916	IF ( large_scale_subsidence .AND. &
	1917	.NOT. use_subsidence_tendencies ) THEN
	1918	CALL subsidence( tend, q, q_init, 3 )
	1919	ENDIF
	1920
	1921	CALL user_actions( 'q-tendency' )
	1922
	1923	!
[1960]	1924	!-- Prognostic equation for total water content
[1875]	1925	DO i = nxl, nxr
	1926	DO j = nys, nyn
[2232]	1927	DO k = nzb+1, nzt
	1928	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1929	tsc(3) * tq_m(k,j,i) ) &
	1930	- tsc(5) * rdf_sc(k) * &
	1931	( q(k,j,i) - q_init(k) ) &
	1932	) * MERGE( 1.0_wp, 0.0_wp, &
	1933	BTEST( wall_flags_0(k,j,i), 0 ) &
	1934	)
[1875]	1935	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1936	ENDDO
	1937	ENDDO
	1938	ENDDO
	1939
	1940	!
	1941	!-- Calculate tendencies for the next Runge-Kutta step
	1942	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1943	IF ( intermediate_timestep_count == 1 ) THEN
	1944	DO i = nxl, nxr
	1945	DO j = nys, nyn
[2232]	1946	DO k = nzb+1, nzt
[1875]	1947	tq_m(k,j,i) = tend(k,j,i)
	1948	ENDDO
	1949	ENDDO
	1950	ENDDO
	1951	ELSEIF ( intermediate_timestep_count < &
	1952	intermediate_timestep_count_max ) THEN
	1953	DO i = nxl, nxr
	1954	DO j = nys, nyn
[2232]	1955	DO k = nzb+1, nzt
	1956	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1957	+ 5.3125_wp * tq_m(k,j,i)
[1875]	1958	ENDDO
	1959	ENDDO
	1960	ENDDO
	1961	ENDIF
	1962	ENDIF
	1963
[1960]	1964	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1965
	1966	!
[2292]	1967	!-- If required, calculate prognostic equations for cloud water content
	1968	!-- and cloud drop concentration
	1969	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	1970
	1971	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
	1972
	1973	!
	1974	!-- Calculate prognostic equation for cloud water content
	1975	sbt = tsc(2)
	1976	IF ( scalar_advec == 'bc-scheme' ) THEN
	1977
	1978	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1979	!
	1980	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1981	sbt = 1.0_wp
	1982	ENDIF
	1983	tend = 0.0_wp
	1984	CALL advec_s_bc( qc, 'qc' )
	1985
	1986	ENDIF
	1987
	1988	!
	1989	!-- qc-tendency terms with no communication
	1990	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1991	tend = 0.0_wp
	1992	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1993	IF ( ws_scheme_sca ) THEN
	1994	CALL advec_s_ws( qc, 'qc' )
	1995	ELSE
	1996	CALL advec_s_pw( qc )
	1997	ENDIF
	1998	ELSE
	1999	CALL advec_s_up( qc )
	2000	ENDIF
	2001	ENDIF
	2002
	2003	CALL diffusion_s( qc, &
	2004	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	2005	surf_def_h(2)%qcsws, &
	2006	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	2007	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	2008	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	2009	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	2010	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	2011	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	2012	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	2013
	2014	!
	2015	!-- Prognostic equation for cloud water content
	2016	DO i = nxl, nxr
	2017	DO j = nys, nyn
	2018	DO k = nzb+1, nzt
	2019	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2020	tsc(3) * tqc_m(k,j,i) ) &
	2021	- tsc(5) * rdf_sc(k) * &
	2022	qc(k,j,i) &
	2023	) &
	2024	* MERGE( 1.0_wp, 0.0_wp, &
	2025	BTEST( wall_flags_0(k,j,i), 0 ) &
	2026	)
	2027	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	2028	ENDDO
	2029	ENDDO
	2030	ENDDO
	2031
	2032	!
	2033	!-- Calculate tendencies for the next Runge-Kutta step
	2034	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2035	IF ( intermediate_timestep_count == 1 ) THEN
	2036	DO i = nxl, nxr
	2037	DO j = nys, nyn
	2038	DO k = nzb+1, nzt
	2039	tqc_m(k,j,i) = tend(k,j,i)
	2040	ENDDO
	2041	ENDDO
	2042	ENDDO
	2043	ELSEIF ( intermediate_timestep_count < &
	2044	intermediate_timestep_count_max ) THEN
	2045	DO i = nxl, nxr
	2046	DO j = nys, nyn
	2047	DO k = nzb+1, nzt
	2048	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2049	+ 5.3125_wp * tqc_m(k,j,i)
	2050	ENDDO
	2051	ENDDO
	2052	ENDDO
	2053	ENDIF
	2054	ENDIF
	2055
	2056	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
	2057	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
	2058
	2059	!
	2060	!-- Calculate prognostic equation for cloud drop concentration
	2061	sbt = tsc(2)
	2062	IF ( scalar_advec == 'bc-scheme' ) THEN
	2063
	2064	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2065	!
	2066	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2067	sbt = 1.0_wp
	2068	ENDIF
	2069	tend = 0.0_wp
	2070	CALL advec_s_bc( nc, 'nc' )
	2071
	2072	ENDIF
	2073
	2074	!
	2075	!-- nc-tendency terms with no communication
	2076	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2077	tend = 0.0_wp
	2078	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2079	IF ( ws_scheme_sca ) THEN
	2080	CALL advec_s_ws( nc, 'nc' )
	2081	ELSE
	2082	CALL advec_s_pw( nc )
	2083	ENDIF
	2084	ELSE
	2085	CALL advec_s_up( nc )
	2086	ENDIF
	2087	ENDIF
	2088
	2089	CALL diffusion_s( nc, &
	2090	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	2091	surf_def_h(2)%ncsws, &
	2092	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	2093	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	2094	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	2095	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	2096	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	2097	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	2098	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	2099
	2100	!
	2101	!-- Prognostic equation for cloud drop concentration
	2102	DO i = nxl, nxr
	2103	DO j = nys, nyn
	2104	DO k = nzb+1, nzt
	2105	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2106	tsc(3) * tnc_m(k,j,i) ) &
	2107	- tsc(5) * rdf_sc(k) * &
	2108	nc(k,j,i) &
	2109	) &
	2110	* MERGE( 1.0_wp, 0.0_wp, &
	2111	BTEST( wall_flags_0(k,j,i), 0 ) &
	2112	)
	2113	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	2114	ENDDO
	2115	ENDDO
	2116	ENDDO
	2117
	2118	!
	2119	!-- Calculate tendencies for the next Runge-Kutta step
	2120	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2121	IF ( intermediate_timestep_count == 1 ) THEN
	2122	DO i = nxl, nxr
	2123	DO j = nys, nyn
	2124	DO k = nzb+1, nzt
	2125	tnc_m(k,j,i) = tend(k,j,i)
	2126	ENDDO
	2127	ENDDO
	2128	ENDDO
	2129	ELSEIF ( intermediate_timestep_count < &
	2130	intermediate_timestep_count_max ) THEN
	2131	DO i = nxl, nxr
	2132	DO j = nys, nyn
	2133	DO k = nzb+1, nzt
	2134	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2135	+ 5.3125_wp * tnc_m(k,j,i)
	2136	ENDDO
	2137	ENDDO
	2138	ENDDO
	2139	ENDIF
	2140	ENDIF
	2141
	2142	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
	2143
	2144	ENDIF
	2145	!
[2155]	2146	!-- If required, calculate prognostic equations for rain water content
[1875]	2147	!-- and rain drop concentration
	2148	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2149
	2150	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2151
	2152	!
	2153	!-- Calculate prognostic equation for rain water content
	2154	sbt = tsc(2)
	2155	IF ( scalar_advec == 'bc-scheme' ) THEN
	2156
	2157	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2158	!
	2159	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2160	sbt = 1.0_wp
	2161	ENDIF
	2162	tend = 0.0_wp
	2163	CALL advec_s_bc( qr, 'qr' )
	2164
	2165	ENDIF
	2166
	2167	!
	2168	!-- qr-tendency terms with no communication
	2169	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2170	tend = 0.0_wp
	2171	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2172	IF ( ws_scheme_sca ) THEN
	2173	CALL advec_s_ws( qr, 'qr' )
	2174	ELSE
	2175	CALL advec_s_pw( qr )
	2176	ENDIF
	2177	ELSE
	2178	CALL advec_s_up( qr )
	2179	ENDIF
	2180	ENDIF
	2181
[2232]	2182	CALL diffusion_s( qr, &
	2183	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	2184	surf_def_h(2)%qrsws, &
	2185	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	2186	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	2187	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	2188	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	2189	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	2190	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	2191	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	2192
	2193	!
	2194	!-- Prognostic equation for rain water content
	2195	DO i = nxl, nxr
	2196	DO j = nys, nyn
[2232]	2197	DO k = nzb+1, nzt
	2198	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2199	tsc(3) * tqr_m(k,j,i) ) &
	2200	- tsc(5) * rdf_sc(k) * &
	2201	qr(k,j,i) &
	2202	) &
	2203	* MERGE( 1.0_wp, 0.0_wp, &
	2204	BTEST( wall_flags_0(k,j,i), 0 ) &
	2205	)
[1875]	2206	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2207	ENDDO
	2208	ENDDO
	2209	ENDDO
	2210
	2211	!
	2212	!-- Calculate tendencies for the next Runge-Kutta step
	2213	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2214	IF ( intermediate_timestep_count == 1 ) THEN
	2215	DO i = nxl, nxr
	2216	DO j = nys, nyn
[2232]	2217	DO k = nzb+1, nzt
[1875]	2218	tqr_m(k,j,i) = tend(k,j,i)
	2219	ENDDO
	2220	ENDDO
	2221	ENDDO
	2222	ELSEIF ( intermediate_timestep_count < &
	2223	intermediate_timestep_count_max ) THEN
	2224	DO i = nxl, nxr
	2225	DO j = nys, nyn
[2232]	2226	DO k = nzb+1, nzt
	2227	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2228	+ 5.3125_wp * tqr_m(k,j,i)
[1875]	2229	ENDDO
	2230	ENDDO
	2231	ENDDO
	2232	ENDIF
	2233	ENDIF
	2234
	2235	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2236	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2237
	2238	!
	2239	!-- Calculate prognostic equation for rain drop concentration
	2240	sbt = tsc(2)
	2241	IF ( scalar_advec == 'bc-scheme' ) THEN
	2242
	2243	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2244	!
	2245	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2246	sbt = 1.0_wp
	2247	ENDIF
	2248	tend = 0.0_wp
	2249	CALL advec_s_bc( nr, 'nr' )
	2250
	2251	ENDIF
	2252
	2253	!
	2254	!-- nr-tendency terms with no communication
	2255	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2256	tend = 0.0_wp
	2257	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2258	IF ( ws_scheme_sca ) THEN
	2259	CALL advec_s_ws( nr, 'nr' )
	2260	ELSE
	2261	CALL advec_s_pw( nr )
	2262	ENDIF
	2263	ELSE
	2264	CALL advec_s_up( nr )
	2265	ENDIF
	2266	ENDIF
	2267
[2232]	2268	CALL diffusion_s( nr, &
	2269	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	2270	surf_def_h(2)%nrsws, &
	2271	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	2272	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	2273	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	2274	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	2275	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	2276	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	2277	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	2278
	2279	!
	2280	!-- Prognostic equation for rain drop concentration
	2281	DO i = nxl, nxr
	2282	DO j = nys, nyn
[2232]	2283	DO k = nzb+1, nzt
	2284	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2285	tsc(3) * tnr_m(k,j,i) ) &
	2286	- tsc(5) * rdf_sc(k) * &
	2287	nr(k,j,i) &
	2288	) &
	2289	* MERGE( 1.0_wp, 0.0_wp, &
	2290	BTEST( wall_flags_0(k,j,i), 0 ) &
	2291	)
[1875]	2292	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2293	ENDDO
	2294	ENDDO
	2295	ENDDO
	2296
	2297	!
	2298	!-- Calculate tendencies for the next Runge-Kutta step
	2299	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2300	IF ( intermediate_timestep_count == 1 ) THEN
	2301	DO i = nxl, nxr
	2302	DO j = nys, nyn
[2232]	2303	DO k = nzb+1, nzt
[1875]	2304	tnr_m(k,j,i) = tend(k,j,i)
	2305	ENDDO
	2306	ENDDO
	2307	ENDDO
	2308	ELSEIF ( intermediate_timestep_count < &
	2309	intermediate_timestep_count_max ) THEN
	2310	DO i = nxl, nxr
	2311	DO j = nys, nyn
[2232]	2312	DO k = nzb+1, nzt
	2313	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2314	+ 5.3125_wp * tnr_m(k,j,i)
[1875]	2315	ENDDO
	2316	ENDDO
	2317	ENDDO
	2318	ENDIF
	2319	ENDIF
	2320
	2321	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2322
	2323	ENDIF
	2324
	2325	ENDIF
[1960]	2326	!
	2327	!-- If required, compute prognostic equation for scalar
	2328	IF ( passive_scalar ) THEN
[1875]	2329
[1960]	2330	CALL cpu_log( log_point(66), 's-equation', 'start' )
	2331
[1875]	2332	!
[1960]	2333	!-- Scalar/q-tendency terms with communication
	2334	sbt = tsc(2)
	2335	IF ( scalar_advec == 'bc-scheme' ) THEN
	2336
	2337	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2338	!
	2339	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2340	sbt = 1.0_wp
	2341	ENDIF
	2342	tend = 0.0_wp
	2343	CALL advec_s_bc( s, 's' )
	2344
	2345	ENDIF
	2346
	2347	!
	2348	!-- Scalar/q-tendency terms with no communication
	2349	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2350	tend = 0.0_wp
	2351	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2352	IF ( ws_scheme_sca ) THEN
	2353	CALL advec_s_ws( s, 's' )
	2354	ELSE
	2355	CALL advec_s_pw( s )
	2356	ENDIF
	2357	ELSE
	2358	CALL advec_s_up( s )
	2359	ENDIF
	2360	ENDIF
	2361
[2232]	2362	CALL diffusion_s( s, &
	2363	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	2364	surf_def_h(2)%ssws, &
	2365	surf_lsm_h%ssws, surf_usm_h%ssws, &
	2366	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	2367	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	2368	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	2369	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	2370	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	2371	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[2155]	2372
[1960]	2373	!
	2374	!-- Sink or source of humidity due to canopy elements
	2375	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	2376
	2377	!
	2378	!-- Large scale advection. Not implemented for scalars so far.
	2379	! IF ( large_scale_forcing ) THEN
	2380	! CALL ls_advec( simulated_time, 'q' )
	2381	! ENDIF
	2382
	2383	!
	2384	!-- Nudging. Not implemented for scalars so far.
[2155]	2385	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	2386
	2387	!
	2388	!-- If required compute influence of large-scale subsidence/ascent.
	2389	!-- Not implemented for scalars so far.
	2390	IF ( large_scale_subsidence .AND. &
	2391	.NOT. use_subsidence_tendencies .AND. &
	2392	.NOT. large_scale_forcing ) THEN
	2393	CALL subsidence( tend, s, s_init, 3 )
	2394	ENDIF
	2395
	2396	CALL user_actions( 's-tendency' )
	2397
	2398	!
	2399	!-- Prognostic equation for total water content
	2400	DO i = nxl, nxr
	2401	DO j = nys, nyn
[2232]	2402	DO k = nzb+1, nzt
	2403	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2404	tsc(3) * ts_m(k,j,i) ) &
	2405	- tsc(5) * rdf_sc(k) * &
	2406	( s(k,j,i) - s_init(k) ) &
	2407	) &
	2408	* MERGE( 1.0_wp, 0.0_wp, &
	2409	BTEST( wall_flags_0(k,j,i), 0 ) &
	2410	)
[1960]	2411	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	2412	ENDDO
	2413	ENDDO
	2414	ENDDO
	2415
	2416	!
	2417	!-- Calculate tendencies for the next Runge-Kutta step
	2418	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2419	IF ( intermediate_timestep_count == 1 ) THEN
	2420	DO i = nxl, nxr
	2421	DO j = nys, nyn
[2232]	2422	DO k = nzb+1, nzt
[1960]	2423	ts_m(k,j,i) = tend(k,j,i)
	2424	ENDDO
	2425	ENDDO
	2426	ENDDO
	2427	ELSEIF ( intermediate_timestep_count < &
	2428	intermediate_timestep_count_max ) THEN
	2429	DO i = nxl, nxr
	2430	DO j = nys, nyn
[2232]	2431	DO k = nzb+1, nzt
	2432	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2433	+ 5.3125_wp * ts_m(k,j,i)
[1960]	2434	ENDDO
	2435	ENDDO
	2436	ENDDO
	2437	ENDIF
	2438	ENDIF
	2439
	2440	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	2441
	2442	ENDIF
[1875]	2443
[2696]	2444	CALL tcm_prognostic()
[1875]	2445
[2815]	2446	!
	2447	!-- If required, compute prognostic equation for chemical quantites
	2448	IF ( air_chemistry ) THEN
	2449	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
	2450	!
	2451	!-- Loop over chemical species
	2452	DO lsp = 1, nvar
	2453	CALL chem_prognostic_equations ( chem_species(lsp)%conc_p, &
	2454	chem_species(lsp)%conc, &
	2455	chem_species(lsp)%tconc_m, &
	2456	chem_species(lsp)%conc_pr_init, &
	2457	lsp )
	2458	ENDDO
[1875]	2459
[2815]	2460	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
	2461	ENDIF ! Chemicals equations
	2462
	2463
[1875]	2464	END SUBROUTINE prognostic_equations_vector
	2465
	2466
	2467	END MODULE prognostic_equations_mod

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