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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 3145

Last change on this file since 3145 was 3022, checked in by suehring, 7 years ago
Revise recent bugfix in nested runs at left and south boundary; bugfix in advection of u in case of OpenMP parallelization; bugfix in plant transpiration
Property svn:keywords set to `Id`
File size: 95.1 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 3022 2018-05-18 11:12:35Z gronemeier $
[3022]	27	! Revise recent bugfix for nesting
	28	!
	29	! 3021 2018-05-16 08:14:20Z maronga
[3021]	30	! Bugfix in IF clause for nesting
	31	!
	32	! 3014 2018-05-09 08:42:38Z maronga
[3014]	33	! Fixed a bug in the IF condition to call pcm_tendency in case of
	34	! potential temperature
	35	!
	36	! 2815 2018-02-19 11:29:57Z kanani
[2815]	37	! Rename chem_tendency to chem_prognostic_equations,
	38	! implement vector version for air chemistry
	39	!
	40	! 2766 2018-01-22 17:17:47Z kanani
[2766]	41	! Removed preprocessor directive __chem
	42	!
	43	! 2746 2018-01-15 12:06:04Z suehring
[2746]	44	! Move flag plant canopy to modules
	45	!
	46	! 2719 2018-01-02 09:02:06Z maronga
[2719]	47	! Bugfix for last change.
	48	!
	49	! 2718 2018-01-02 08:49:38Z maronga
[2716]	50	! Corrected "Former revisions" section
	51	!
	52	! 2696 2017-12-14 17:12:51Z kanani
	53	! - Change in file header (GPL part)
[2696]	54	! - Moved TKE equation to tcm_prognostic (TG)
	55	! - Added switch for chemical reactions (RF, FK)
	56	! - Implementation of chemistry module (RF, BK, FK)
	57	!
	58	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	59	! Variable wind_turbine moved to module control_parameters
	60	!
	61	! 2320 2017-07-21 12:47:43Z suehring
[2320]	62	! Modularize large-scale forcing and nudging
	63	!
	64	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	65	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	66	! includes two more prognostic equations for cloud drop concentration (nc)
	67	! and cloud water content (qc).
	68	!
	69	! 2261 2017-06-08 14:25:57Z raasch
[2261]	70	! bugfix for r2232: openmp directives removed
	71	!
	72	! 2233 2017-05-30 18:08:54Z suehring
[1875]	73	!
[2233]	74	! 2232 2017-05-30 17:47:52Z suehring
	75	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
	76	! which is realized directly in diffusion_s now.
	77	!
[2193]	78	! 2192 2017-03-22 04:14:10Z raasch
	79	! Bugfix for misplaced and missing openMP directives from r2155
	80	!
[2156]	81	! 2155 2017-02-21 09:57:40Z hoffmann
	82	! Bugfix in the calculation of microphysical quantities on ghost points.
	83	!
[2119]	84	! 2118 2017-01-17 16:38:49Z raasch
	85	! OpenACC version of subroutine removed
[2155]	86	!
[2032]	87	! 2031 2016-10-21 15:11:58Z knoop
	88	! renamed variable rho to rho_ocean
[2155]	89	!
[2012]	90	! 2011 2016-09-19 17:29:57Z kanani
	91	! Flag urban_surface is now defined in module control_parameters.
[2155]	92	!
[2008]	93	! 2007 2016-08-24 15:47:17Z kanani
	94	! Added pt tendency calculation based on energy balance at urban surfaces
	95	! (new urban surface model)
[2155]	96	!
[2001]	97	! 2000 2016-08-20 18:09:15Z knoop
	98	! Forced header and separation lines into 80 columns
[2155]	99	!
[1977]	100	! 1976 2016-07-27 13:28:04Z maronga
	101	! Simplied calls to radiation model
[2155]	102	!
[1961]	103	! 1960 2016-07-12 16:34:24Z suehring
	104	! Separate humidity and passive scalar
[2155]	105	!
[1917]	106	! 1914 2016-05-26 14:44:07Z witha
	107	! Added calls for wind turbine model
	108	!
[1874]	109	! 1873 2016-04-18 14:50:06Z maronga
	110	! Module renamed (removed _mod)
[2155]	111	!
[1851]	112	! 1850 2016-04-08 13:29:27Z maronga
	113	! Module renamed
[2155]	114	!
[1827]	115	! 1826 2016-04-07 12:01:39Z maronga
[1875]	116	! Renamed canopy model calls.
[2155]	117	!
[1875]	118	! 1822 2016-04-07 07:49:42Z hoffmann
	119	! Kessler microphysics scheme moved to microphysics.
	120	!
	121	! 1757 2016-02-22 15:49:32Z maronga
[2155]	122	!
[1875]	123	! 1691 2015-10-26 16:17:44Z maronga
	124	! Added optional model spin-up without radiation / land surface model calls.
	125	! Formatting corrections.
[2155]	126	!
[1875]	127	! 1682 2015-10-07 23:56:08Z knoop
[2155]	128	! Code annotations made doxygen readable
	129	!
[1875]	130	! 1585 2015-04-30 07:05:52Z maronga
	131	! Added call for temperature tendency calculation due to radiative flux divergence
[2155]	132	!
[1875]	133	! 1517 2015-01-07 19:12:25Z hoffmann
	134	! advec_s_bc_mod addded, since advec_s_bc is now a module
	135	!
	136	! 1496 2014-12-02 17:25:50Z maronga
	137	! Renamed "radiation" -> "cloud_top_radiation"
[2155]	138	!
[1875]	139	! 1484 2014-10-21 10:53:05Z kanani
	140	! Changes due to new module structure of the plant canopy model:
[2696]	141	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
[1875]	142	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	143	! control_parameters
[2155]	144	!
[1875]	145	! 1409 2014-05-23 12:11:32Z suehring
[2155]	146	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
[1875]	147	! This ensures that left-hand side fluxes are also calculated for nxl in that
[2155]	148	! case, even though the solution at nxl is overwritten in boundary_conds()
	149	!
[1875]	150	! 1398 2014-05-07 11:15:00Z heinze
	151	! Rayleigh-damping for horizontal velocity components changed: instead of damping
[2155]	152	! against ug and vg, damping against u_init and v_init is used to allow for a
[1875]	153	! homogenized treatment in case of nudging
[2155]	154	!
[1875]	155	! 1380 2014-04-28 12:40:45Z heinze
[2155]	156	! Change order of calls for scalar prognostic quantities:
	157	! ls_advec -> nudging -> subsidence since initial profiles
	158	!
[1875]	159	! 1374 2014-04-25 12:55:07Z raasch
	160	! missing variables added to ONLY lists
[2155]	161	!
[1875]	162	! 1365 2014-04-22 15:03:56Z boeske
[2155]	163	! Calls of ls_advec for large scale advection added,
[1875]	164	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	165	! new argument ls_index added to the calls of subsidence
	166	! +ls_index
[2155]	167	!
[1875]	168	! 1361 2014-04-16 15:17:48Z hoffmann
	169	! Two-moment microphysics moved to the start of prognostic equations. This makes
	170	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	171	! Additionally, it is allowed to call the microphysics just once during the time
	172	! step (not at each sub-time step).
	173	!
	174	! Two-moment cloud physics added for vector and accelerator optimization.
[2155]	175	!
[1875]	176	! 1353 2014-04-08 15:21:23Z heinze
	177	! REAL constants provided with KIND-attribute
[2155]	178	!
[1875]	179	! 1337 2014-03-25 15:11:48Z heinze
	180	! Bugfix: REAL constants provided with KIND-attribute
[2155]	181	!
[1875]	182	! 1332 2014-03-25 11:59:43Z suehring
[2155]	183	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	184	!
[1875]	185	! 1330 2014-03-24 17:29:32Z suehring
[2155]	186	! In case of SGS-particle velocity advection of TKE is also allowed with
[1875]	187	! dissipative 5th-order scheme.
	188	!
	189	! 1320 2014-03-20 08:40:49Z raasch
	190	! ONLY-attribute added to USE-statements,
	191	! kind-parameters added to all INTEGER and REAL declaration statements,
	192	! kinds are defined in new module kinds,
	193	! old module precision_kind is removed,
	194	! revision history before 2012 removed,
	195	! comment fields (!:) to be used for variable explanations added to
	196	! all variable declaration statements
	197	!
	198	! 1318 2014-03-17 13:35:16Z raasch
	199	! module interfaces removed
	200	!
	201	! 1257 2013-11-08 15:18:40Z raasch
	202	! openacc loop vector clauses removed, independent clauses added
	203	!
	204	! 1246 2013-11-01 08:59:45Z heinze
	205	! enable nudging also for accelerator version
	206	!
	207	! 1241 2013-10-30 11:36:58Z heinze
	208	! usage of nudging enabled (so far not implemented for accelerator version)
	209	!
	210	! 1179 2013-06-14 05:57:58Z raasch
	211	! two arguments removed from routine buoyancy, ref_state updated on device
	212	!
	213	! 1128 2013-04-12 06:19:32Z raasch
	214	! those parts requiring global communication moved to time_integration,
	215	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	216	! j_north
	217	!
	218	! 1115 2013-03-26 18:16:16Z hoffmann
[2155]	219	! optimized cloud physics: calculation of microphysical tendencies transfered
[1875]	220	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	221	!
	222	! 1111 2013-03-08 23:54:10Z raasch
	223	! update directives for prognostic quantities removed
	224	!
	225	! 1106 2013-03-04 05:31:38Z raasch
	226	! small changes in code formatting
	227	!
	228	! 1092 2013-02-02 11:24:22Z raasch
	229	! unused variables removed
	230	!
	231	! 1053 2012-11-13 17:11:03Z hoffmann
	232	! implementation of two new prognostic equations for rain drop concentration (nr)
	233	! and rain water content (qr)
	234	!
	235	! currently, only available for cache loop optimization
	236	!
	237	! 1036 2012-10-22 13:43:42Z raasch
	238	! code put under GPL (PALM 3.9)
	239	!
	240	! 1019 2012-09-28 06:46:45Z raasch
	241	! non-optimized version of prognostic_equations removed
	242	!
	243	! 1015 2012-09-27 09:23:24Z raasch
	244	! new branch prognostic_equations_acc
	245	! OpenACC statements added + code changes required for GPU optimization
	246	!
	247	! 1001 2012-09-13 14:08:46Z raasch
	248	! all actions concerning leapfrog- and upstream-spline-scheme removed
	249	!
	250	! 978 2012-08-09 08:28:32Z fricke
	251	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	252	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	253	! boundary in case of non-cyclic lateral boundaries
	254	! Bugfix: first thread index changes for WS-scheme at the inflow
	255	!
	256	! 940 2012-07-09 14:31:00Z raasch
	257	! temperature equation can be switched off
	258	!
	259	! Revision 1.1 2000/04/13 14:56:27 schroeter
	260	! Initial revision
	261	!
	262	!
	263	! Description:
	264	! ------------
	265	!> Solving the prognostic equations.
	266	!------------------------------------------------------------------------------!
	267	MODULE prognostic_equations_mod
	268
	269
[2155]	270
[1875]	271	USE arrays_3d, &
[2292]	272	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
	273	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
	274	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
	275	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
	276	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
	277	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
	278	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
	279	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
	280	ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, tend, &
	281	te_m, tnc_m, tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tsa_m, &
	282	tu_m, tv_m, tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, &
	283	w, w_p
[2155]	284
[2696]	285	USE chemistry_model_mod, &
[2815]	286	ONLY: chem_integrate, chem_prognostic_equations, &
	287	chem_species, nspec, nvar, spc_names
[2696]	288
	289	USE chem_photolysis_mod, &
	290	ONLY: photolysis_control
	291
	292	USE chem_modules, &
	293	ONLY: call_chem_at_all_substeps, chem_gasphase_on
	294
[1875]	295	USE control_parameters, &
[2696]	296	ONLY: air_chemistry, call_microphysics_at_all_substeps, &
	297	cloud_physics, cloud_top_radiation, constant_diffusion, &
	298	dp_external, dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, &
	299	humidity, &
[1875]	300	inflow_l, intermediate_timestep_count, &
	301	intermediate_timestep_count_max, large_scale_forcing, &
[2746]	302	large_scale_subsidence, microphysics_morrison, &
[3022]	303	microphysics_seifert, microphysics_sat_adjust, neutral, nudging,&
[2746]	304	ocean, outflow_l, outflow_s, passive_scalar, plant_canopy, &
	305	prho_reference, prho_reference, &
[1875]	306	prho_reference, pt_reference, pt_reference, pt_reference, &
	307	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[2232]	308	timestep_scheme, tsc, use_subsidence_tendencies, &
[2563]	309	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
[3014]	310	ws_scheme_sca, urban_surface, land_surface
[1875]	311
	312	USE cpulog, &
[2696]	313	ONLY: cpu_log, log_point, log_point_s
[1875]	314
[2696]	315
[1875]	316	USE eqn_state_seawater_mod, &
	317	ONLY: eqn_state_seawater
	318
	319	USE indices, &
[2696]	320	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
	321	nzb, nzt, wall_flags_0
[1875]	322
	323	USE advec_ws, &
[2118]	324	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
[1875]	325
	326	USE advec_s_bc_mod, &
	327	ONLY: advec_s_bc
	328
	329	USE advec_s_pw_mod, &
	330	ONLY: advec_s_pw
	331
	332	USE advec_s_up_mod, &
	333	ONLY: advec_s_up
	334
	335	USE advec_u_pw_mod, &
	336	ONLY: advec_u_pw
	337
	338	USE advec_u_up_mod, &
	339	ONLY: advec_u_up
	340
	341	USE advec_v_pw_mod, &
	342	ONLY: advec_v_pw
	343
	344	USE advec_v_up_mod, &
	345	ONLY: advec_v_up
	346
	347	USE advec_w_pw_mod, &
	348	ONLY: advec_w_pw
	349
	350	USE advec_w_up_mod, &
	351	ONLY: advec_w_up
	352
	353	USE buoyancy_mod, &
[2118]	354	ONLY: buoyancy
[1875]	355
	356	USE calc_radiation_mod, &
	357	ONLY: calc_radiation
[2155]	358
[1875]	359	USE coriolis_mod, &
[2118]	360	ONLY: coriolis
[1875]	361
	362	USE diffusion_s_mod, &
[2118]	363	ONLY: diffusion_s
[1875]	364
	365	USE diffusion_u_mod, &
[2118]	366	ONLY: diffusion_u
[1875]	367
	368	USE diffusion_v_mod, &
[2118]	369	ONLY: diffusion_v
[1875]	370
	371	USE diffusion_w_mod, &
[2118]	372	ONLY: diffusion_w
[1875]	373
	374	USE kinds
	375
[2320]	376	USE lsf_nudging_mod, &
	377	ONLY: ls_advec, nudge
[1875]	378
	379	USE microphysics_mod, &
	380	ONLY: microphysics_control
	381
	382	USE plant_canopy_model_mod, &
[2746]	383	ONLY: cthf, pcm_tendency
[1875]	384
	385	USE radiation_model_mod, &
[1976]	386	ONLY: radiation, radiation_tendency, &
[1875]	387	skip_time_do_radiation
	388
	389	USE statistics, &
	390	ONLY: hom
	391
	392	USE subsidence_mod, &
	393	ONLY: subsidence
	394
[2696]	395	USE turbulence_closure_mod, &
	396	ONLY: tcm_prognostic
	397
[1875]	398	USE user_actions_mod, &
	399	ONLY: user_actions
	400
[2232]	401	USE surface_mod, &
	402	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	403	surf_usm_v
	404
[1914]	405	USE wind_turbine_model_mod, &
[2563]	406	ONLY: wtm_tendencies
[1875]	407
[1914]	408
[1875]	409	PRIVATE
[2118]	410	PUBLIC prognostic_equations_cache, prognostic_equations_vector
[1875]	411
	412	INTERFACE prognostic_equations_cache
	413	MODULE PROCEDURE prognostic_equations_cache
	414	END INTERFACE prognostic_equations_cache
	415
	416	INTERFACE prognostic_equations_vector
	417	MODULE PROCEDURE prognostic_equations_vector
	418	END INTERFACE prognostic_equations_vector
	419
	420
	421	CONTAINS
	422
	423
	424	!------------------------------------------------------------------------------!
	425	! Description:
	426	! ------------
	427	!> Version with one optimized loop over all equations. It is only allowed to
	428	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	429	!>
	430	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	431	!> so communication between CPUs is not allowed (does not make sense) within
	432	!> these loops.
	433	!>
	434	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	435	!------------------------------------------------------------------------------!
[2155]	436
[1875]	437	SUBROUTINE prognostic_equations_cache
	438
	439
	440	IMPLICIT NONE
	441
	442	INTEGER(iwp) :: i !<
	443	INTEGER(iwp) :: i_omp_start !<
	444	INTEGER(iwp) :: j !<
	445	INTEGER(iwp) :: k !<
	446	INTEGER(iwp) :: omp_get_thread_num !<
	447	INTEGER(iwp) :: tn = 0 !<
[2155]	448
[1875]	449	LOGICAL :: loop_start !<
[2696]	450	INTEGER :: n, lsp !< lsp running index for chem spcs
[1875]	451
	452
	453	!
	454	!-- Time measurement can only be performed for the whole set of equations
	455	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	456
	457	!
[2696]	458	!-- Calculation of chemical reactions. This is done outside of main loop,
	459	!-- since exchange of ghost points is required after this update of the
	460	!-- concentrations of chemical species
	461	IF ( air_chemistry ) THEN
	462	!
	463	!-- If required, calculate photolysis frequencies -
	464	!-- UNFINISHED: Why not before the intermediate timestep loop?
	465	IF ( intermediate_timestep_count == 1 ) THEN
	466	CALL photolysis_control
	467	ENDIF
	468	!
	469	!-- Chemical reactions
	470	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'start' )
	471
	472	IF ( chem_gasphase_on ) THEN
	473	DO i = nxl, nxr
	474	DO j = nys, nyn
	475
	476	IF ( intermediate_timestep_count == 1 .OR. &
	477	call_chem_at_all_substeps ) THEN
	478	CALL chem_integrate (i,j)
	479	ENDIF
	480	ENDDO
	481	ENDDO
	482	ENDIF
	483	!
	484	!-- Loop over chemical species
	485	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'start' )
	486	DO n = 1, nspec
	487	CALL exchange_horiz( chem_species(n)%conc, nbgp )
	488	ENDDO
	489	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'stop' )
	490
	491	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'stop' )
	492
	493	ENDIF
	494
	495	!
[2155]	496	!-- If required, calculate cloud microphysics
	497	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	498	( intermediate_timestep_count == 1 .OR. &
[2192]	499	call_microphysics_at_all_substeps ) ) &
	500	THEN
[2261]	501	!$OMP PARALLEL PRIVATE (i,j)
[2192]	502	!$OMP DO
[2155]	503	DO i = nxlg, nxrg
	504	DO j = nysg, nyng
	505	CALL microphysics_control( i, j )
[2192]	506	ENDDO
	507	ENDDO
	508	!$OMP END PARALLEL
[2155]	509	ENDIF
	510
[2192]	511	!
	512	!-- Loop over all prognostic equations
[2261]	513	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
[2192]	514
	515	!$ tn = omp_get_thread_num()
	516	loop_start = .TRUE.
	517
	518	!$OMP DO
[1875]	519	DO i = nxl, nxr
	520
	521	!
	522	!-- Store the first loop index. It differs for each thread and is required
	523	!-- later in advec_ws
	524	IF ( loop_start ) THEN
	525	loop_start = .FALSE.
[2155]	526	i_omp_start = i
[1875]	527	ENDIF
	528
	529	DO j = nys, nyn
	530	!
[3022]	531	!-- Tendency terms for u-velocity component. Please note, in case of
	532	!-- non-cyclic boundary conditions the grid point i=0 is excluded from
	533	!-- the prognostic equations for the u-component.
	534	IF ( i >= nxlu ) THEN
[1875]	535
	536	tend(:,j,i) = 0.0_wp
	537	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	538	IF ( ws_scheme_mom ) THEN
	539	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	540	ELSE
[1875]	541	CALL advec_u_pw( i, j )
[2155]	542	ENDIF
[1875]	543	ELSE
	544	CALL advec_u_up( i, j )
	545	ENDIF
	546	CALL diffusion_u( i, j )
	547	CALL coriolis( i, j, 1 )
	548	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	549	CALL buoyancy( i, j, pt, 1 )
	550	ENDIF
	551
	552	!
	553	!-- Drag by plant canopy
	554	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	555
	556	!
	557	!-- External pressure gradient
	558	IF ( dp_external ) THEN
	559	DO k = dp_level_ind_b+1, nzt
	560	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	561	ENDDO
	562	ENDIF
	563
	564	!
	565	!-- Nudging
	566	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	567
[1914]	568	!
	569	!-- Forces by wind turbines
	570	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	571
[1875]	572	CALL user_actions( i, j, 'u-tendency' )
	573	!
	574	!-- Prognostic equation for u-velocity component
[2232]	575	DO k = nzb+1, nzt
	576
	577	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
	578	( tsc(2) * tend(k,j,i) + &
	579	tsc(3) * tu_m(k,j,i) ) &
	580	- tsc(5) * rdf(k) &
	581	* ( u(k,j,i) - u_init(k) ) &
	582	) * MERGE( 1.0_wp, 0.0_wp, &
	583	BTEST( wall_flags_0(k,j,i), 1 )&
	584	)
[1875]	585	ENDDO
	586
	587	!
	588	!-- Calculate tendencies for the next Runge-Kutta step
	589	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	590	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	591	DO k = nzb+1, nzt
[1875]	592	tu_m(k,j,i) = tend(k,j,i)
	593	ENDDO
	594	ELSEIF ( intermediate_timestep_count < &
	595	intermediate_timestep_count_max ) THEN
[2232]	596	DO k = nzb+1, nzt
	597	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	598	+ 5.3125_wp * tu_m(k,j,i)
[1875]	599	ENDDO
	600	ENDIF
	601	ENDIF
	602
	603	ENDIF
	604	!
[3022]	605	!-- Tendency terms for v-velocity component. Please note, in case of
	606	!-- non-cyclic boundary conditions the grid point j=0 is excluded from
	607	!-- the prognostic equations for the v-component. !--
	608	IF ( j >= nysv ) THEN
[1875]	609
	610	tend(:,j,i) = 0.0_wp
	611	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	612	IF ( ws_scheme_mom ) THEN
	613	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	614	ELSE
[1875]	615	CALL advec_v_pw( i, j )
	616	ENDIF
	617	ELSE
	618	CALL advec_v_up( i, j )
	619	ENDIF
	620	CALL diffusion_v( i, j )
	621	CALL coriolis( i, j, 2 )
	622
	623	!
	624	!-- Drag by plant canopy
[2155]	625	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	626
	627	!
	628	!-- External pressure gradient
	629	IF ( dp_external ) THEN
	630	DO k = dp_level_ind_b+1, nzt
	631	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	632	ENDDO
	633	ENDIF
	634
	635	!
	636	!-- Nudging
	637	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	638
[1914]	639	!
	640	!-- Forces by wind turbines
	641	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	642
[1875]	643	CALL user_actions( i, j, 'v-tendency' )
	644	!
	645	!-- Prognostic equation for v-velocity component
[2232]	646	DO k = nzb+1, nzt
	647	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
	648	( tsc(2) * tend(k,j,i) + &
	649	tsc(3) * tv_m(k,j,i) ) &
	650	- tsc(5) * rdf(k) &
	651	* ( v(k,j,i) - v_init(k) )&
	652	) * MERGE( 1.0_wp, 0.0_wp, &
	653	BTEST( wall_flags_0(k,j,i), 2 )&
	654	)
[1875]	655	ENDDO
	656
	657	!
	658	!-- Calculate tendencies for the next Runge-Kutta step
	659	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	660	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	661	DO k = nzb+1, nzt
[1875]	662	tv_m(k,j,i) = tend(k,j,i)
	663	ENDDO
	664	ELSEIF ( intermediate_timestep_count < &
	665	intermediate_timestep_count_max ) THEN
[2232]	666	DO k = nzb+1, nzt
	667	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	668	+ 5.3125_wp * tv_m(k,j,i)
[1875]	669	ENDDO
	670	ENDIF
	671	ENDIF
	672
	673	ENDIF
	674
	675	!
	676	!-- Tendency terms for w-velocity component
	677	tend(:,j,i) = 0.0_wp
	678	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	679	IF ( ws_scheme_mom ) THEN
	680	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	681	ELSE
[1875]	682	CALL advec_w_pw( i, j )
	683	END IF
	684	ELSE
	685	CALL advec_w_up( i, j )
	686	ENDIF
	687	CALL diffusion_w( i, j )
	688	CALL coriolis( i, j, 3 )
	689
	690	IF ( .NOT. neutral ) THEN
	691	IF ( ocean ) THEN
[2031]	692	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	693	ELSE
	694	IF ( .NOT. humidity ) THEN
	695	CALL buoyancy( i, j, pt, 3 )
	696	ELSE
	697	CALL buoyancy( i, j, vpt, 3 )
	698	ENDIF
	699	ENDIF
	700	ENDIF
	701
	702	!
	703	!-- Drag by plant canopy
	704	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	705
[1914]	706	!
	707	!-- Forces by wind turbines
	708	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	709
[1875]	710	CALL user_actions( i, j, 'w-tendency' )
	711	!
	712	!-- Prognostic equation for w-velocity component
[2232]	713	DO k = nzb+1, nzt-1
	714	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
	715	( tsc(2) * tend(k,j,i) + &
[1875]	716	tsc(3) * tw_m(k,j,i) ) &
[2232]	717	- tsc(5) * rdf(k) * w(k,j,i) &
	718	) * MERGE( 1.0_wp, 0.0_wp, &
	719	BTEST( wall_flags_0(k,j,i), 3 )&
	720	)
[1875]	721	ENDDO
	722
	723	!
	724	!-- Calculate tendencies for the next Runge-Kutta step
	725	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	726	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	727	DO k = nzb+1, nzt-1
[1875]	728	tw_m(k,j,i) = tend(k,j,i)
	729	ENDDO
	730	ELSEIF ( intermediate_timestep_count < &
	731	intermediate_timestep_count_max ) THEN
[2232]	732	DO k = nzb+1, nzt-1
	733	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	734	+ 5.3125_wp * tw_m(k,j,i)
[1875]	735	ENDDO
	736	ENDIF
	737	ENDIF
	738
	739	!
	740	!-- If required, compute prognostic equation for potential temperature
	741	IF ( .NOT. neutral ) THEN
	742	!
	743	!-- Tendency terms for potential temperature
	744	tend(:,j,i) = 0.0_wp
	745	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	746	IF ( ws_scheme_sca ) THEN
[2232]	747	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
[1875]	748	flux_l_pt, diss_l_pt, i_omp_start, tn )
	749	ELSE
	750	CALL advec_s_pw( i, j, pt )
	751	ENDIF
	752	ELSE
	753	CALL advec_s_up( i, j, pt )
	754	ENDIF
[2232]	755	CALL diffusion_s( i, j, pt, &
	756	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	757	surf_def_h(2)%shf, &
	758	surf_lsm_h%shf, surf_usm_h%shf, &
	759	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	760	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	761	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	762	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	763	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	764	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	765	!
	766	!-- If required compute heating/cooling due to long wave radiation
	767	!-- processes
	768	IF ( cloud_top_radiation ) THEN
	769	CALL calc_radiation( i, j )
	770	ENDIF
	771
	772	!
	773	!-- Consideration of heat sources within the plant canopy
[3014]	774	IF ( plant_canopy .AND. &
	775	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
[1875]	776	CALL pcm_tendency( i, j, 4 )
	777	ENDIF
	778
	779	!
	780	!-- Large scale advection
	781	IF ( large_scale_forcing ) THEN
	782	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	783	ENDIF
[1875]	784
	785	!
	786	!-- Nudging
[2155]	787	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	788
	789	!
	790	!-- If required, compute effect of large-scale subsidence/ascent
	791	IF ( large_scale_subsidence .AND. &
	792	.NOT. use_subsidence_tendencies ) THEN
	793	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	794	ENDIF
	795
	796	!
	797	!-- If required, add tendency due to radiative heating/cooling
[1976]	798	IF ( radiation .AND. &
[1875]	799	simulated_time > skip_time_do_radiation ) THEN
	800	CALL radiation_tendency ( i, j, tend )
	801	ENDIF
	802
	803
	804	CALL user_actions( i, j, 'pt-tendency' )
	805	!
	806	!-- Prognostic equation for potential temperature
[2232]	807	DO k = nzb+1, nzt
	808	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
	809	( tsc(2) * tend(k,j,i) + &
[1875]	810	tsc(3) * tpt_m(k,j,i) ) &
[2232]	811	- tsc(5) &
	812	* ( pt(k,j,i) - pt_init(k) ) &
	813	* ( rdf_sc(k) + ptdf_x(i) &
	814	+ ptdf_y(j) ) &
	815	) &
	816	* MERGE( 1.0_wp, 0.0_wp, &
	817	BTEST( wall_flags_0(k,j,i), 0 )&
	818	)
[1875]	819	ENDDO
	820
	821	!
	822	!-- Calculate tendencies for the next Runge-Kutta step
	823	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	824	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	825	DO k = nzb+1, nzt
[1875]	826	tpt_m(k,j,i) = tend(k,j,i)
	827	ENDDO
	828	ELSEIF ( intermediate_timestep_count < &
	829	intermediate_timestep_count_max ) THEN
[2232]	830	DO k = nzb+1, nzt
	831	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	832	5.3125_wp * tpt_m(k,j,i)
[1875]	833	ENDDO
	834	ENDIF
	835	ENDIF
	836
	837	ENDIF
	838
	839	!
	840	!-- If required, compute prognostic equation for salinity
	841	IF ( ocean ) THEN
	842
	843	!
	844	!-- Tendency-terms for salinity
	845	tend(:,j,i) = 0.0_wp
	846	IF ( timestep_scheme(1:5) == 'runge' ) &
	847	THEN
	848	IF ( ws_scheme_sca ) THEN
	849	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	850	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	851	ELSE
[1875]	852	CALL advec_s_pw( i, j, sa )
	853	ENDIF
	854	ELSE
	855	CALL advec_s_up( i, j, sa )
	856	ENDIF
[2232]	857	CALL diffusion_s( i, j, sa, &
	858	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	859	surf_def_h(2)%sasws, &
	860	surf_lsm_h%sasws, surf_usm_h%sasws, &
	861	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	862	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	863	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	864	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	865	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	866	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[1875]	867
	868	CALL user_actions( i, j, 'sa-tendency' )
	869
	870	!
	871	!-- Prognostic equation for salinity
[2232]	872	DO k = nzb+1, nzt
	873	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * &
	874	( tsc(2) * tend(k,j,i) + &
[1875]	875	tsc(3) * tsa_m(k,j,i) ) &
[2232]	876	- tsc(5) * rdf_sc(k) &
	877	* ( sa(k,j,i) - sa_init(k) )&
	878	) * MERGE( 1.0_wp, 0.0_wp, &
	879	BTEST( wall_flags_0(k,j,i), 0 )&
	880	)
[1875]	881	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	882	ENDDO
	883
	884	!
	885	!-- Calculate tendencies for the next Runge-Kutta step
	886	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	887	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	888	DO k = nzb+1, nzt
[1875]	889	tsa_m(k,j,i) = tend(k,j,i)
	890	ENDDO
	891	ELSEIF ( intermediate_timestep_count < &
	892	intermediate_timestep_count_max ) THEN
[2232]	893	DO k = nzb+1, nzt
	894	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	895	5.3125_wp * tsa_m(k,j,i)
	896	ENDDO
[1875]	897	ENDIF
	898	ENDIF
	899
	900	!
	901	!-- Calculate density by the equation of state for seawater
	902	CALL eqn_state_seawater( i, j )
	903
	904	ENDIF
	905
	906	!
[1960]	907	!-- If required, compute prognostic equation for total water content
	908	IF ( humidity ) THEN
[1875]	909
	910	!
	911	!-- Tendency-terms for total water content / scalar
	912	tend(:,j,i) = 0.0_wp
	913	IF ( timestep_scheme(1:5) == 'runge' ) &
	914	THEN
	915	IF ( ws_scheme_sca ) THEN
[2155]	916	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	917	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	918	ELSE
[1875]	919	CALL advec_s_pw( i, j, q )
	920	ENDIF
	921	ELSE
	922	CALL advec_s_up( i, j, q )
	923	ENDIF
[2232]	924	CALL diffusion_s( i, j, q, &
	925	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	926	surf_def_h(2)%qsws, &
	927	surf_lsm_h%qsws, surf_usm_h%qsws, &
	928	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	929	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	930	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	931	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	932	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	933	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[1875]	934
	935	!
[1960]	936	!-- Sink or source of humidity due to canopy elements
[1875]	937	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	938
	939	!
	940	!-- Large scale advection
	941	IF ( large_scale_forcing ) THEN
	942	CALL ls_advec( i, j, simulated_time, 'q' )
	943	ENDIF
	944
	945	!
	946	!-- Nudging
[2155]	947	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	948
	949	!
	950	!-- If required compute influence of large-scale subsidence/ascent
	951	IF ( large_scale_subsidence .AND. &
	952	.NOT. use_subsidence_tendencies ) THEN
	953	CALL subsidence( i, j, tend, q, q_init, 3 )
	954	ENDIF
	955
	956	CALL user_actions( i, j, 'q-tendency' )
	957
	958	!
	959	!-- Prognostic equation for total water content / scalar
[2232]	960	DO k = nzb+1, nzt
	961	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
	962	( tsc(2) * tend(k,j,i) + &
[1875]	963	tsc(3) * tq_m(k,j,i) ) &
[2232]	964	- tsc(5) * rdf_sc(k) * &
	965	( q(k,j,i) - q_init(k) ) &
	966	) &
	967	* MERGE( 1.0_wp, 0.0_wp, &
	968	BTEST( wall_flags_0(k,j,i), 0 )&
	969	)
[1875]	970	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	971	ENDDO
	972
	973	!
	974	!-- Calculate tendencies for the next Runge-Kutta step
	975	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	976	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	977	DO k = nzb+1, nzt
[1875]	978	tq_m(k,j,i) = tend(k,j,i)
	979	ENDDO
	980	ELSEIF ( intermediate_timestep_count < &
	981	intermediate_timestep_count_max ) THEN
[2232]	982	DO k = nzb+1, nzt
	983	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	984	5.3125_wp * tq_m(k,j,i)
[1875]	985	ENDDO
	986	ENDIF
	987	ENDIF
	988
	989	!
[2292]	990	!-- If required, calculate prognostic equations for cloud water content
	991	!-- and cloud drop concentration
	992	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	993	!
	994	!-- Calculate prognostic equation for cloud water content
	995	tend(:,j,i) = 0.0_wp
	996	IF ( timestep_scheme(1:5) == 'runge' ) &
	997	THEN
	998	IF ( ws_scheme_sca ) THEN
	999	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
	1000	diss_s_qc, flux_l_qc, diss_l_qc, &
	1001	i_omp_start, tn )
	1002	ELSE
	1003	CALL advec_s_pw( i, j, qc )
	1004	ENDIF
	1005	ELSE
	1006	CALL advec_s_up( i, j, qc )
	1007	ENDIF
	1008	CALL diffusion_s( i, j, qc, &
	1009	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	1010	surf_def_h(2)%qcsws, &
	1011	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	1012	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	1013	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	1014	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	1015	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	1016	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	1017	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	1018
	1019	!
	1020	!-- Prognostic equation for cloud water content
	1021	DO k = nzb+1, nzt
	1022	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
	1023	( tsc(2) * tend(k,j,i) + &
	1024	tsc(3) * tqc_m(k,j,i) )&
	1025	- tsc(5) * rdf_sc(k) &
	1026	* qc(k,j,i) &
	1027	) &
	1028	* MERGE( 1.0_wp, 0.0_wp, &
	1029	BTEST( wall_flags_0(k,j,i), 0 )&
	1030	)
	1031	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	1032	ENDDO
	1033	!
	1034	!-- Calculate tendencies for the next Runge-Kutta step
	1035	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1036	IF ( intermediate_timestep_count == 1 ) THEN
	1037	DO k = nzb+1, nzt
	1038	tqc_m(k,j,i) = tend(k,j,i)
	1039	ENDDO
	1040	ELSEIF ( intermediate_timestep_count < &
	1041	intermediate_timestep_count_max ) THEN
	1042	DO k = nzb+1, nzt
	1043	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1044	5.3125_wp * tqc_m(k,j,i)
	1045	ENDDO
	1046	ENDIF
	1047	ENDIF
	1048
	1049	!
	1050	!-- Calculate prognostic equation for cloud drop concentration.
	1051	tend(:,j,i) = 0.0_wp
	1052	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1053	IF ( ws_scheme_sca ) THEN
	1054	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
	1055	diss_s_nc, flux_l_nc, diss_l_nc, &
	1056	i_omp_start, tn )
	1057	ELSE
	1058	CALL advec_s_pw( i, j, nc )
	1059	ENDIF
	1060	ELSE
	1061	CALL advec_s_up( i, j, nc )
	1062	ENDIF
	1063	CALL diffusion_s( i, j, nc, &
	1064	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	1065	surf_def_h(2)%ncsws, &
	1066	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	1067	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	1068	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	1069	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	1070	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	1071	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	1072	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	1073
	1074	!
	1075	!-- Prognostic equation for cloud drop concentration
	1076	DO k = nzb+1, nzt
	1077	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
	1078	( tsc(2) * tend(k,j,i) + &
	1079	tsc(3) * tnc_m(k,j,i) )&
	1080	- tsc(5) * rdf_sc(k) &
	1081	* nc(k,j,i) &
	1082	) &
	1083	* MERGE( 1.0_wp, 0.0_wp, &
	1084	BTEST( wall_flags_0(k,j,i), 0 )&
	1085	)
	1086	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	1087	ENDDO
	1088	!
	1089	!-- Calculate tendencies for the next Runge-Kutta step
	1090	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1091	IF ( intermediate_timestep_count == 1 ) THEN
	1092	DO k = nzb+1, nzt
	1093	tnc_m(k,j,i) = tend(k,j,i)
	1094	ENDDO
	1095	ELSEIF ( intermediate_timestep_count < &
	1096	intermediate_timestep_count_max ) THEN
	1097	DO k = nzb+1, nzt
	1098	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1099	5.3125_wp * tnc_m(k,j,i)
	1100	ENDDO
	1101	ENDIF
	1102	ENDIF
	1103
	1104	ENDIF
	1105	!
[2155]	1106	!-- If required, calculate prognostic equations for rain water content
[1875]	1107	!-- and rain drop concentration
	1108	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1109	!
	1110	!-- Calculate prognostic equation for rain water content
	1111	tend(:,j,i) = 0.0_wp
	1112	IF ( timestep_scheme(1:5) == 'runge' ) &
	1113	THEN
	1114	IF ( ws_scheme_sca ) THEN
[2155]	1115	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	1116	diss_s_qr, flux_l_qr, diss_l_qr, &
	1117	i_omp_start, tn )
[2155]	1118	ELSE
[1875]	1119	CALL advec_s_pw( i, j, qr )
	1120	ENDIF
	1121	ELSE
	1122	CALL advec_s_up( i, j, qr )
	1123	ENDIF
[2232]	1124	CALL diffusion_s( i, j, qr, &
	1125	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	1126	surf_def_h(2)%qrsws, &
	1127	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	1128	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	1129	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	1130	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	1131	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	1132	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	1133	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	1134
	1135	!
	1136	!-- Prognostic equation for rain water content
[2232]	1137	DO k = nzb+1, nzt
	1138	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
	1139	( tsc(2) * tend(k,j,i) + &
	1140	tsc(3) * tqr_m(k,j,i) )&
	1141	- tsc(5) * rdf_sc(k) &
	1142	* qr(k,j,i) &
	1143	) &
	1144	* MERGE( 1.0_wp, 0.0_wp, &
	1145	BTEST( wall_flags_0(k,j,i), 0 )&
	1146	)
[1875]	1147	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1148	ENDDO
	1149	!
	1150	!-- Calculate tendencies for the next Runge-Kutta step
	1151	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1152	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1153	DO k = nzb+1, nzt
[1875]	1154	tqr_m(k,j,i) = tend(k,j,i)
	1155	ENDDO
	1156	ELSEIF ( intermediate_timestep_count < &
	1157	intermediate_timestep_count_max ) THEN
[2232]	1158	DO k = nzb+1, nzt
	1159	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1160	5.3125_wp * tqr_m(k,j,i)
[1875]	1161	ENDDO
	1162	ENDIF
	1163	ENDIF
	1164
	1165	!
	1166	!-- Calculate prognostic equation for rain drop concentration.
	1167	tend(:,j,i) = 0.0_wp
	1168	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1169	IF ( ws_scheme_sca ) THEN
[2155]	1170	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	1171	diss_s_nr, flux_l_nr, diss_l_nr, &
	1172	i_omp_start, tn )
[2155]	1173	ELSE
[1875]	1174	CALL advec_s_pw( i, j, nr )
	1175	ENDIF
	1176	ELSE
	1177	CALL advec_s_up( i, j, nr )
	1178	ENDIF
[2232]	1179	CALL diffusion_s( i, j, nr, &
	1180	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	1181	surf_def_h(2)%nrsws, &
	1182	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	1183	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	1184	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	1185	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	1186	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	1187	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	1188	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	1189
	1190	!
	1191	!-- Prognostic equation for rain drop concentration
[2232]	1192	DO k = nzb+1, nzt
	1193	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
	1194	( tsc(2) * tend(k,j,i) + &
	1195	tsc(3) * tnr_m(k,j,i) )&
	1196	- tsc(5) * rdf_sc(k) &
	1197	* nr(k,j,i) &
	1198	) &
	1199	* MERGE( 1.0_wp, 0.0_wp, &
	1200	BTEST( wall_flags_0(k,j,i), 0 )&
	1201	)
[1875]	1202	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1203	ENDDO
	1204	!
	1205	!-- Calculate tendencies for the next Runge-Kutta step
	1206	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1207	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1208	DO k = nzb+1, nzt
[1875]	1209	tnr_m(k,j,i) = tend(k,j,i)
	1210	ENDDO
	1211	ELSEIF ( intermediate_timestep_count < &
	1212	intermediate_timestep_count_max ) THEN
[2232]	1213	DO k = nzb+1, nzt
	1214	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1215	5.3125_wp * tnr_m(k,j,i)
[1875]	1216	ENDDO
	1217	ENDIF
	1218	ENDIF
	1219
	1220	ENDIF
	1221
	1222	ENDIF
[2155]	1223
[1960]	1224	!
	1225	!-- If required, compute prognostic equation for scalar
	1226	IF ( passive_scalar ) THEN
	1227	!
	1228	!-- Tendency-terms for total water content / scalar
	1229	tend(:,j,i) = 0.0_wp
	1230	IF ( timestep_scheme(1:5) == 'runge' ) &
	1231	THEN
	1232	IF ( ws_scheme_sca ) THEN
[2155]	1233	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	1234	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	1235	ELSE
[1960]	1236	CALL advec_s_pw( i, j, s )
	1237	ENDIF
	1238	ELSE
	1239	CALL advec_s_up( i, j, s )
	1240	ENDIF
[2232]	1241	CALL diffusion_s( i, j, s, &
	1242	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	1243	surf_def_h(2)%ssws, &
	1244	surf_lsm_h%ssws, surf_usm_h%ssws, &
	1245	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	1246	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	1247	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	1248	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	1249	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	1250	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[1875]	1251
	1252	!
[1960]	1253	!-- Sink or source of scalar concentration due to canopy elements
	1254	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	1255
	1256	!
	1257	!-- Large scale advection, still need to be extended for scalars
	1258	! IF ( large_scale_forcing ) THEN
	1259	! CALL ls_advec( i, j, simulated_time, 's' )
	1260	! ENDIF
	1261
	1262	!
	1263	!-- Nudging, still need to be extended for scalars
[2155]	1264	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	1265
	1266	!
	1267	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	1268	!-- Note, the last argument is of no meaning in this case, as it is
	1269	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	1270	!-- date not implemented for scalars.
	1271	IF ( large_scale_subsidence .AND. &
	1272	.NOT. use_subsidence_tendencies .AND. &
	1273	.NOT. large_scale_forcing ) THEN
	1274	CALL subsidence( i, j, tend, s, s_init, 3 )
	1275	ENDIF
	1276
	1277	CALL user_actions( i, j, 's-tendency' )
	1278
	1279	!
	1280	!-- Prognostic equation for scalar
[2232]	1281	DO k = nzb+1, nzt
	1282	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
	1283	( tsc(2) * tend(k,j,i) + &
	1284	tsc(3) * ts_m(k,j,i) ) &
	1285	- tsc(5) * rdf_sc(k) &
	1286	* ( s(k,j,i) - s_init(k) )&
	1287	) &
	1288	* MERGE( 1.0_wp, 0.0_wp, &
	1289	BTEST( wall_flags_0(k,j,i), 0 )&
	1290	)
[1960]	1291	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1292	ENDDO
	1293
	1294	!
	1295	!-- Calculate tendencies for the next Runge-Kutta step
	1296	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1297	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1298	DO k = nzb+1, nzt
[1960]	1299	ts_m(k,j,i) = tend(k,j,i)
	1300	ENDDO
	1301	ELSEIF ( intermediate_timestep_count < &
	1302	intermediate_timestep_count_max ) THEN
[2232]	1303	DO k = nzb+1, nzt
	1304	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1305	5.3125_wp * ts_m(k,j,i)
[1960]	1306	ENDDO
	1307	ENDIF
	1308	ENDIF
	1309
[2155]	1310	ENDIF
[1960]	1311	!
[2696]	1312	!-- Calculate prognostic equations for turbulence closure
	1313	CALL tcm_prognostic( i, j, i_omp_start, tn )
[1875]	1314
	1315	!
[2696]	1316	!-- If required, compute prognostic equation for chemical quantites
	1317	IF ( air_chemistry ) THEN
	1318	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
[1875]	1319	!
[2696]	1320	!-- Loop over chemical species
[2815]	1321	DO lsp = 1, nvar
	1322	CALL chem_prognostic_equations ( chem_species(lsp)%conc_p, &
[2696]	1323	chem_species(lsp)%conc, &
	1324	chem_species(lsp)%tconc_m, &
	1325	chem_species(lsp)%conc_pr_init, &
	1326	i, j, i_omp_start, tn, lsp, &
	1327	chem_species(lsp)%flux_s_cs, &
	1328	chem_species(lsp)%diss_s_cs, &
	1329	chem_species(lsp)%flux_l_cs, &
	1330	chem_species(lsp)%diss_l_cs )
[1875]	1331	ENDDO
	1332
[2696]	1333	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
	1334	ENDIF ! Chemicals equations
[1875]	1335
	1336	ENDDO
	1337	ENDDO
[2192]	1338	!$OMP END PARALLEL
[1875]	1339
[2232]	1340
[1875]	1341	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1342
	1343
	1344	END SUBROUTINE prognostic_equations_cache
	1345
	1346
	1347	!------------------------------------------------------------------------------!
	1348	! Description:
	1349	! ------------
	1350	!> Version for vector machines
	1351	!------------------------------------------------------------------------------!
[2155]	1352
[1875]	1353	SUBROUTINE prognostic_equations_vector
	1354
	1355
	1356	IMPLICIT NONE
	1357
[2815]	1358	INTEGER(iwp) :: i !<
	1359	INTEGER(iwp) :: j !<
	1360	INTEGER(iwp) :: k !<
	1361	INTEGER(iwp) :: lsp !< running index for chemical species
[1875]	1362
	1363	REAL(wp) :: sbt !<
	1364
	1365
	1366	!
	1367	!-- If required, calculate cloud microphysical impacts
	1368	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1369	( intermediate_timestep_count == 1 .OR. &
	1370	call_microphysics_at_all_substeps ) &
	1371	) THEN
	1372	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1373	CALL microphysics_control
	1374	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1375	ENDIF
	1376
	1377	!
	1378	!-- u-velocity component
	1379	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1380
	1381	tend = 0.0_wp
	1382	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1383	IF ( ws_scheme_mom ) THEN
	1384	CALL advec_u_ws
	1385	ELSE
	1386	CALL advec_u_pw
	1387	ENDIF
	1388	ELSE
	1389	CALL advec_u_up
	1390	ENDIF
	1391	CALL diffusion_u
	1392	CALL coriolis( 1 )
	1393	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1394	CALL buoyancy( pt, 1 )
	1395	ENDIF
	1396
	1397	!
	1398	!-- Drag by plant canopy
	1399	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1400
	1401	!
	1402	!-- External pressure gradient
	1403	IF ( dp_external ) THEN
	1404	DO i = nxlu, nxr
	1405	DO j = nys, nyn
	1406	DO k = dp_level_ind_b+1, nzt
	1407	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1408	ENDDO
	1409	ENDDO
	1410	ENDDO
	1411	ENDIF
	1412
	1413	!
	1414	!-- Nudging
	1415	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1416
[1914]	1417	!
	1418	!-- Forces by wind turbines
	1419	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1420
[1875]	1421	CALL user_actions( 'u-tendency' )
	1422
	1423	!
	1424	!-- Prognostic equation for u-velocity component
	1425	DO i = nxlu, nxr
	1426	DO j = nys, nyn
[2232]	1427	DO k = nzb+1, nzt
	1428	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1429	tsc(3) * tu_m(k,j,i) ) &
	1430	- tsc(5) * rdf(k) * &
	1431	( u(k,j,i) - u_init(k) ) &
	1432	) * MERGE( 1.0_wp, 0.0_wp, &
	1433	BTEST( wall_flags_0(k,j,i), 1 ) &
	1434	)
[1875]	1435	ENDDO
	1436	ENDDO
	1437	ENDDO
	1438
	1439	!
	1440	!-- Calculate tendencies for the next Runge-Kutta step
	1441	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1442	IF ( intermediate_timestep_count == 1 ) THEN
	1443	DO i = nxlu, nxr
	1444	DO j = nys, nyn
[2232]	1445	DO k = nzb+1, nzt
[1875]	1446	tu_m(k,j,i) = tend(k,j,i)
	1447	ENDDO
	1448	ENDDO
	1449	ENDDO
	1450	ELSEIF ( intermediate_timestep_count < &
	1451	intermediate_timestep_count_max ) THEN
	1452	DO i = nxlu, nxr
	1453	DO j = nys, nyn
[2232]	1454	DO k = nzb+1, nzt
	1455	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1456	+ 5.3125_wp * tu_m(k,j,i)
[1875]	1457	ENDDO
	1458	ENDDO
	1459	ENDDO
	1460	ENDIF
	1461	ENDIF
	1462
	1463	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1464
	1465	!
	1466	!-- v-velocity component
	1467	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1468
	1469	tend = 0.0_wp
	1470	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1471	IF ( ws_scheme_mom ) THEN
	1472	CALL advec_v_ws
[2155]	1473	ELSE
[1875]	1474	CALL advec_v_pw
	1475	END IF
	1476	ELSE
	1477	CALL advec_v_up
	1478	ENDIF
	1479	CALL diffusion_v
	1480	CALL coriolis( 2 )
	1481
	1482	!
	1483	!-- Drag by plant canopy
	1484	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1485
	1486	!
	1487	!-- External pressure gradient
	1488	IF ( dp_external ) THEN
	1489	DO i = nxl, nxr
	1490	DO j = nysv, nyn
	1491	DO k = dp_level_ind_b+1, nzt
	1492	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1493	ENDDO
	1494	ENDDO
	1495	ENDDO
	1496	ENDIF
	1497
	1498	!
	1499	!-- Nudging
	1500	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1501
[1914]	1502	!
	1503	!-- Forces by wind turbines
	1504	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1505
[1875]	1506	CALL user_actions( 'v-tendency' )
	1507
	1508	!
	1509	!-- Prognostic equation for v-velocity component
	1510	DO i = nxl, nxr
	1511	DO j = nysv, nyn
[2232]	1512	DO k = nzb+1, nzt
	1513	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1514	tsc(3) * tv_m(k,j,i) ) &
	1515	- tsc(5) * rdf(k) * &
	1516	( v(k,j,i) - v_init(k) ) &
	1517	) * MERGE( 1.0_wp, 0.0_wp, &
	1518	BTEST( wall_flags_0(k,j,i), 2 )&
	1519	)
[1875]	1520	ENDDO
	1521	ENDDO
	1522	ENDDO
	1523
	1524	!
	1525	!-- Calculate tendencies for the next Runge-Kutta step
	1526	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1527	IF ( intermediate_timestep_count == 1 ) THEN
	1528	DO i = nxl, nxr
	1529	DO j = nysv, nyn
[2232]	1530	DO k = nzb+1, nzt
[1875]	1531	tv_m(k,j,i) = tend(k,j,i)
	1532	ENDDO
	1533	ENDDO
	1534	ENDDO
	1535	ELSEIF ( intermediate_timestep_count < &
	1536	intermediate_timestep_count_max ) THEN
	1537	DO i = nxl, nxr
	1538	DO j = nysv, nyn
[2232]	1539	DO k = nzb+1, nzt
	1540	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1541	+ 5.3125_wp * tv_m(k,j,i)
[1875]	1542	ENDDO
	1543	ENDDO
	1544	ENDDO
	1545	ENDIF
	1546	ENDIF
	1547
	1548	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1549
	1550	!
	1551	!-- w-velocity component
	1552	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1553
	1554	tend = 0.0_wp
	1555	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1556	IF ( ws_scheme_mom ) THEN
	1557	CALL advec_w_ws
	1558	ELSE
	1559	CALL advec_w_pw
	1560	ENDIF
	1561	ELSE
	1562	CALL advec_w_up
	1563	ENDIF
	1564	CALL diffusion_w
	1565	CALL coriolis( 3 )
	1566
	1567	IF ( .NOT. neutral ) THEN
	1568	IF ( ocean ) THEN
[2031]	1569	CALL buoyancy( rho_ocean, 3 )
[1875]	1570	ELSE
	1571	IF ( .NOT. humidity ) THEN
	1572	CALL buoyancy( pt, 3 )
	1573	ELSE
	1574	CALL buoyancy( vpt, 3 )
	1575	ENDIF
	1576	ENDIF
	1577	ENDIF
	1578
	1579	!
	1580	!-- Drag by plant canopy
	1581	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1582
[1914]	1583	!
	1584	!-- Forces by wind turbines
	1585	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1586
[1875]	1587	CALL user_actions( 'w-tendency' )
	1588
	1589	!
	1590	!-- Prognostic equation for w-velocity component
	1591	DO i = nxl, nxr
	1592	DO j = nys, nyn
[2232]	1593	DO k = nzb+1, nzt-1
	1594	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1595	tsc(3) * tw_m(k,j,i) ) &
	1596	- tsc(5) * rdf(k) * w(k,j,i) &
	1597	) * MERGE( 1.0_wp, 0.0_wp, &
	1598	BTEST( wall_flags_0(k,j,i), 3 )&
	1599	)
[1875]	1600	ENDDO
	1601	ENDDO
	1602	ENDDO
	1603
	1604	!
	1605	!-- Calculate tendencies for the next Runge-Kutta step
	1606	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1607	IF ( intermediate_timestep_count == 1 ) THEN
	1608	DO i = nxl, nxr
	1609	DO j = nys, nyn
[2232]	1610	DO k = nzb+1, nzt-1
[1875]	1611	tw_m(k,j,i) = tend(k,j,i)
	1612	ENDDO
	1613	ENDDO
	1614	ENDDO
	1615	ELSEIF ( intermediate_timestep_count < &
	1616	intermediate_timestep_count_max ) THEN
	1617	DO i = nxl, nxr
	1618	DO j = nys, nyn
[2232]	1619	DO k = nzb+1, nzt-1
	1620	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1621	+ 5.3125_wp * tw_m(k,j,i)
[1875]	1622	ENDDO
	1623	ENDDO
	1624	ENDDO
	1625	ENDIF
	1626	ENDIF
	1627
	1628	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1629
	1630
	1631	!
	1632	!-- If required, compute prognostic equation for potential temperature
	1633	IF ( .NOT. neutral ) THEN
	1634
	1635	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1636
	1637	!
	1638	!-- pt-tendency terms with communication
	1639	sbt = tsc(2)
	1640	IF ( scalar_advec == 'bc-scheme' ) THEN
	1641
	1642	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1643	!
	1644	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1645	sbt = 1.0_wp
	1646	ENDIF
	1647	tend = 0.0_wp
	1648	CALL advec_s_bc( pt, 'pt' )
	1649
	1650	ENDIF
	1651
	1652	!
	1653	!-- pt-tendency terms with no communication
	1654	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1655	tend = 0.0_wp
	1656	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1657	IF ( ws_scheme_sca ) THEN
	1658	CALL advec_s_ws( pt, 'pt' )
	1659	ELSE
	1660	CALL advec_s_pw( pt )
	1661	ENDIF
	1662	ELSE
	1663	CALL advec_s_up( pt )
	1664	ENDIF
	1665	ENDIF
	1666
[2232]	1667	CALL diffusion_s( pt, &
	1668	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	1669	surf_def_h(2)%shf, &
	1670	surf_lsm_h%shf, surf_usm_h%shf, &
	1671	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	1672	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	1673	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	1674	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	1675	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	1676	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	1677	!
	1678	!-- If required compute heating/cooling due to long wave radiation processes
	1679	IF ( cloud_top_radiation ) THEN
	1680	CALL calc_radiation
	1681	ENDIF
	1682
	1683	!
	1684	!-- Consideration of heat sources within the plant canopy
[3014]	1685	IF ( plant_canopy .AND. &
	1686	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
[1875]	1687	CALL pcm_tendency( 4 )
	1688	ENDIF
	1689
	1690	!
	1691	!-- Large scale advection
	1692	IF ( large_scale_forcing ) THEN
	1693	CALL ls_advec( simulated_time, 'pt' )
	1694	ENDIF
	1695
	1696	!
	1697	!-- Nudging
[2155]	1698	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1699
	1700	!
	1701	!-- If required compute influence of large-scale subsidence/ascent
	1702	IF ( large_scale_subsidence .AND. &
	1703	.NOT. use_subsidence_tendencies ) THEN
	1704	CALL subsidence( tend, pt, pt_init, 2 )
	1705	ENDIF
	1706
	1707	!
	1708	!-- If required, add tendency due to radiative heating/cooling
[1976]	1709	IF ( radiation .AND. &
[1875]	1710	simulated_time > skip_time_do_radiation ) THEN
	1711	CALL radiation_tendency ( tend )
	1712	ENDIF
	1713
	1714	CALL user_actions( 'pt-tendency' )
	1715
	1716	!
	1717	!-- Prognostic equation for potential temperature
	1718	DO i = nxl, nxr
	1719	DO j = nys, nyn
[2232]	1720	DO k = nzb+1, nzt
	1721	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1722	tsc(3) * tpt_m(k,j,i) ) &
	1723	- tsc(5) * &
	1724	( pt(k,j,i) - pt_init(k) ) *&
	1725	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
	1726	) &
	1727	* MERGE( 1.0_wp, 0.0_wp, &
	1728	BTEST( wall_flags_0(k,j,i), 0 ) &
	1729	)
[1875]	1730	ENDDO
	1731	ENDDO
	1732	ENDDO
	1733	!
	1734	!-- Calculate tendencies for the next Runge-Kutta step
	1735	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1736	IF ( intermediate_timestep_count == 1 ) THEN
	1737	DO i = nxl, nxr
	1738	DO j = nys, nyn
[2232]	1739	DO k = nzb+1, nzt
[1875]	1740	tpt_m(k,j,i) = tend(k,j,i)
	1741	ENDDO
	1742	ENDDO
	1743	ENDDO
	1744	ELSEIF ( intermediate_timestep_count < &
	1745	intermediate_timestep_count_max ) THEN
	1746	DO i = nxl, nxr
	1747	DO j = nys, nyn
[2232]	1748	DO k = nzb+1, nzt
	1749	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1750	5.3125_wp * tpt_m(k,j,i)
[1875]	1751	ENDDO
	1752	ENDDO
	1753	ENDDO
	1754	ENDIF
	1755	ENDIF
	1756
	1757	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1758
	1759	ENDIF
	1760
	1761	!
	1762	!-- If required, compute prognostic equation for salinity
	1763	IF ( ocean ) THEN
	1764
	1765	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1766
	1767	!
	1768	!-- sa-tendency terms with communication
	1769	sbt = tsc(2)
	1770	IF ( scalar_advec == 'bc-scheme' ) THEN
	1771
	1772	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1773	!
	1774	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1775	sbt = 1.0_wp
	1776	ENDIF
	1777	tend = 0.0_wp
	1778	CALL advec_s_bc( sa, 'sa' )
	1779
	1780	ENDIF
	1781
	1782	!
	1783	!-- sa-tendency terms with no communication
	1784	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1785	tend = 0.0_wp
	1786	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1787	IF ( ws_scheme_sca ) THEN
	1788	CALL advec_s_ws( sa, 'sa' )
	1789	ELSE
	1790	CALL advec_s_pw( sa )
	1791	ENDIF
	1792	ELSE
	1793	CALL advec_s_up( sa )
	1794	ENDIF
	1795	ENDIF
	1796
[2232]	1797	CALL diffusion_s( sa, &
	1798	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	1799	surf_def_h(2)%sasws, &
	1800	surf_lsm_h%sasws, surf_usm_h%sasws, &
	1801	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	1802	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	1803	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	1804	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	1805	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	1806	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[2155]	1807
[1875]	1808	CALL user_actions( 'sa-tendency' )
	1809
	1810	!
	1811	!-- Prognostic equation for salinity
	1812	DO i = nxl, nxr
	1813	DO j = nys, nyn
[2232]	1814	DO k = nzb+1, nzt
	1815	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1816	tsc(3) * tsa_m(k,j,i) ) &
	1817	- tsc(5) * rdf_sc(k) * &
	1818	( sa(k,j,i) - sa_init(k) ) &
	1819	) &
	1820	* MERGE( 1.0_wp, 0.0_wp, &
	1821	BTEST( wall_flags_0(k,j,i), 0 ) &
	1822	)
[1875]	1823	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1824	ENDDO
	1825	ENDDO
	1826	ENDDO
	1827
	1828	!
	1829	!-- Calculate tendencies for the next Runge-Kutta step
	1830	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1831	IF ( intermediate_timestep_count == 1 ) THEN
	1832	DO i = nxl, nxr
	1833	DO j = nys, nyn
[2232]	1834	DO k = nzb+1, nzt
[1875]	1835	tsa_m(k,j,i) = tend(k,j,i)
	1836	ENDDO
	1837	ENDDO
	1838	ENDDO
	1839	ELSEIF ( intermediate_timestep_count < &
	1840	intermediate_timestep_count_max ) THEN
	1841	DO i = nxl, nxr
	1842	DO j = nys, nyn
[2232]	1843	DO k = nzb+1, nzt
	1844	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1845	5.3125_wp * tsa_m(k,j,i)
[1875]	1846	ENDDO
	1847	ENDDO
	1848	ENDDO
	1849	ENDIF
	1850	ENDIF
	1851
	1852	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1853
	1854	!
	1855	!-- Calculate density by the equation of state for seawater
	1856	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1857	CALL eqn_state_seawater
	1858	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1859
	1860	ENDIF
	1861
	1862	!
[1960]	1863	!-- If required, compute prognostic equation for total water content
	1864	IF ( humidity ) THEN
[1875]	1865
[1960]	1866	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1867
	1868	!
	1869	!-- Scalar/q-tendency terms with communication
	1870	sbt = tsc(2)
	1871	IF ( scalar_advec == 'bc-scheme' ) THEN
	1872
	1873	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1874	!
	1875	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1876	sbt = 1.0_wp
	1877	ENDIF
	1878	tend = 0.0_wp
	1879	CALL advec_s_bc( q, 'q' )
	1880
	1881	ENDIF
	1882
	1883	!
	1884	!-- Scalar/q-tendency terms with no communication
	1885	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1886	tend = 0.0_wp
	1887	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1888	IF ( ws_scheme_sca ) THEN
	1889	CALL advec_s_ws( q, 'q' )
	1890	ELSE
	1891	CALL advec_s_pw( q )
	1892	ENDIF
	1893	ELSE
	1894	CALL advec_s_up( q )
	1895	ENDIF
	1896	ENDIF
	1897
[2232]	1898	CALL diffusion_s( q, &
	1899	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	1900	surf_def_h(2)%qsws, &
	1901	surf_lsm_h%qsws, surf_usm_h%qsws, &
	1902	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	1903	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	1904	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	1905	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	1906	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	1907	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[2155]	1908
[1875]	1909	!
[1960]	1910	!-- Sink or source of humidity due to canopy elements
[1875]	1911	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1912
	1913	!
	1914	!-- Large scale advection
	1915	IF ( large_scale_forcing ) THEN
	1916	CALL ls_advec( simulated_time, 'q' )
	1917	ENDIF
	1918
	1919	!
	1920	!-- Nudging
[2155]	1921	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1922
	1923	!
	1924	!-- If required compute influence of large-scale subsidence/ascent
	1925	IF ( large_scale_subsidence .AND. &
	1926	.NOT. use_subsidence_tendencies ) THEN
	1927	CALL subsidence( tend, q, q_init, 3 )
	1928	ENDIF
	1929
	1930	CALL user_actions( 'q-tendency' )
	1931
	1932	!
[1960]	1933	!-- Prognostic equation for total water content
[1875]	1934	DO i = nxl, nxr
	1935	DO j = nys, nyn
[2232]	1936	DO k = nzb+1, nzt
	1937	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1938	tsc(3) * tq_m(k,j,i) ) &
	1939	- tsc(5) * rdf_sc(k) * &
	1940	( q(k,j,i) - q_init(k) ) &
	1941	) * MERGE( 1.0_wp, 0.0_wp, &
	1942	BTEST( wall_flags_0(k,j,i), 0 ) &
	1943	)
[1875]	1944	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1945	ENDDO
	1946	ENDDO
	1947	ENDDO
	1948
	1949	!
	1950	!-- Calculate tendencies for the next Runge-Kutta step
	1951	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1952	IF ( intermediate_timestep_count == 1 ) THEN
	1953	DO i = nxl, nxr
	1954	DO j = nys, nyn
[2232]	1955	DO k = nzb+1, nzt
[1875]	1956	tq_m(k,j,i) = tend(k,j,i)
	1957	ENDDO
	1958	ENDDO
	1959	ENDDO
	1960	ELSEIF ( intermediate_timestep_count < &
	1961	intermediate_timestep_count_max ) THEN
	1962	DO i = nxl, nxr
	1963	DO j = nys, nyn
[2232]	1964	DO k = nzb+1, nzt
	1965	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1966	+ 5.3125_wp * tq_m(k,j,i)
[1875]	1967	ENDDO
	1968	ENDDO
	1969	ENDDO
	1970	ENDIF
	1971	ENDIF
	1972
[1960]	1973	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1974
	1975	!
[2292]	1976	!-- If required, calculate prognostic equations for cloud water content
	1977	!-- and cloud drop concentration
	1978	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	1979
	1980	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
	1981
	1982	!
	1983	!-- Calculate prognostic equation for cloud water content
	1984	sbt = tsc(2)
	1985	IF ( scalar_advec == 'bc-scheme' ) THEN
	1986
	1987	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1988	!
	1989	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1990	sbt = 1.0_wp
	1991	ENDIF
	1992	tend = 0.0_wp
	1993	CALL advec_s_bc( qc, 'qc' )
	1994
	1995	ENDIF
	1996
	1997	!
	1998	!-- qc-tendency terms with no communication
	1999	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2000	tend = 0.0_wp
	2001	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2002	IF ( ws_scheme_sca ) THEN
	2003	CALL advec_s_ws( qc, 'qc' )
	2004	ELSE
	2005	CALL advec_s_pw( qc )
	2006	ENDIF
	2007	ELSE
	2008	CALL advec_s_up( qc )
	2009	ENDIF
	2010	ENDIF
	2011
	2012	CALL diffusion_s( qc, &
	2013	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	2014	surf_def_h(2)%qcsws, &
	2015	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	2016	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	2017	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	2018	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	2019	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	2020	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	2021	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	2022
	2023	!
	2024	!-- Prognostic equation for cloud water content
	2025	DO i = nxl, nxr
	2026	DO j = nys, nyn
	2027	DO k = nzb+1, nzt
	2028	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2029	tsc(3) * tqc_m(k,j,i) ) &
	2030	- tsc(5) * rdf_sc(k) * &
	2031	qc(k,j,i) &
	2032	) &
	2033	* MERGE( 1.0_wp, 0.0_wp, &
	2034	BTEST( wall_flags_0(k,j,i), 0 ) &
	2035	)
	2036	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	2037	ENDDO
	2038	ENDDO
	2039	ENDDO
	2040
	2041	!
	2042	!-- Calculate tendencies for the next Runge-Kutta step
	2043	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2044	IF ( intermediate_timestep_count == 1 ) THEN
	2045	DO i = nxl, nxr
	2046	DO j = nys, nyn
	2047	DO k = nzb+1, nzt
	2048	tqc_m(k,j,i) = tend(k,j,i)
	2049	ENDDO
	2050	ENDDO
	2051	ENDDO
	2052	ELSEIF ( intermediate_timestep_count < &
	2053	intermediate_timestep_count_max ) THEN
	2054	DO i = nxl, nxr
	2055	DO j = nys, nyn
	2056	DO k = nzb+1, nzt
	2057	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2058	+ 5.3125_wp * tqc_m(k,j,i)
	2059	ENDDO
	2060	ENDDO
	2061	ENDDO
	2062	ENDIF
	2063	ENDIF
	2064
	2065	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
	2066	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
	2067
	2068	!
	2069	!-- Calculate prognostic equation for cloud drop concentration
	2070	sbt = tsc(2)
	2071	IF ( scalar_advec == 'bc-scheme' ) THEN
	2072
	2073	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2074	!
	2075	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2076	sbt = 1.0_wp
	2077	ENDIF
	2078	tend = 0.0_wp
	2079	CALL advec_s_bc( nc, 'nc' )
	2080
	2081	ENDIF
	2082
	2083	!
	2084	!-- nc-tendency terms with no communication
	2085	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2086	tend = 0.0_wp
	2087	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2088	IF ( ws_scheme_sca ) THEN
	2089	CALL advec_s_ws( nc, 'nc' )
	2090	ELSE
	2091	CALL advec_s_pw( nc )
	2092	ENDIF
	2093	ELSE
	2094	CALL advec_s_up( nc )
	2095	ENDIF
	2096	ENDIF
	2097
	2098	CALL diffusion_s( nc, &
	2099	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	2100	surf_def_h(2)%ncsws, &
	2101	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	2102	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	2103	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	2104	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	2105	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	2106	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	2107	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	2108
	2109	!
	2110	!-- Prognostic equation for cloud drop concentration
	2111	DO i = nxl, nxr
	2112	DO j = nys, nyn
	2113	DO k = nzb+1, nzt
	2114	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2115	tsc(3) * tnc_m(k,j,i) ) &
	2116	- tsc(5) * rdf_sc(k) * &
	2117	nc(k,j,i) &
	2118	) &
	2119	* MERGE( 1.0_wp, 0.0_wp, &
	2120	BTEST( wall_flags_0(k,j,i), 0 ) &
	2121	)
	2122	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	2123	ENDDO
	2124	ENDDO
	2125	ENDDO
	2126
	2127	!
	2128	!-- Calculate tendencies for the next Runge-Kutta step
	2129	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2130	IF ( intermediate_timestep_count == 1 ) THEN
	2131	DO i = nxl, nxr
	2132	DO j = nys, nyn
	2133	DO k = nzb+1, nzt
	2134	tnc_m(k,j,i) = tend(k,j,i)
	2135	ENDDO
	2136	ENDDO
	2137	ENDDO
	2138	ELSEIF ( intermediate_timestep_count < &
	2139	intermediate_timestep_count_max ) THEN
	2140	DO i = nxl, nxr
	2141	DO j = nys, nyn
	2142	DO k = nzb+1, nzt
	2143	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2144	+ 5.3125_wp * tnc_m(k,j,i)
	2145	ENDDO
	2146	ENDDO
	2147	ENDDO
	2148	ENDIF
	2149	ENDIF
	2150
	2151	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
	2152
	2153	ENDIF
	2154	!
[2155]	2155	!-- If required, calculate prognostic equations for rain water content
[1875]	2156	!-- and rain drop concentration
	2157	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2158
	2159	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2160
	2161	!
	2162	!-- Calculate prognostic equation for rain water content
	2163	sbt = tsc(2)
	2164	IF ( scalar_advec == 'bc-scheme' ) THEN
	2165
	2166	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2167	!
	2168	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2169	sbt = 1.0_wp
	2170	ENDIF
	2171	tend = 0.0_wp
	2172	CALL advec_s_bc( qr, 'qr' )
	2173
	2174	ENDIF
	2175
	2176	!
	2177	!-- qr-tendency terms with no communication
	2178	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2179	tend = 0.0_wp
	2180	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2181	IF ( ws_scheme_sca ) THEN
	2182	CALL advec_s_ws( qr, 'qr' )
	2183	ELSE
	2184	CALL advec_s_pw( qr )
	2185	ENDIF
	2186	ELSE
	2187	CALL advec_s_up( qr )
	2188	ENDIF
	2189	ENDIF
	2190
[2232]	2191	CALL diffusion_s( qr, &
	2192	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	2193	surf_def_h(2)%qrsws, &
	2194	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	2195	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	2196	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	2197	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	2198	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	2199	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	2200	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	2201
	2202	!
	2203	!-- Prognostic equation for rain water content
	2204	DO i = nxl, nxr
	2205	DO j = nys, nyn
[2232]	2206	DO k = nzb+1, nzt
	2207	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2208	tsc(3) * tqr_m(k,j,i) ) &
	2209	- tsc(5) * rdf_sc(k) * &
	2210	qr(k,j,i) &
	2211	) &
	2212	* MERGE( 1.0_wp, 0.0_wp, &
	2213	BTEST( wall_flags_0(k,j,i), 0 ) &
	2214	)
[1875]	2215	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2216	ENDDO
	2217	ENDDO
	2218	ENDDO
	2219
	2220	!
	2221	!-- Calculate tendencies for the next Runge-Kutta step
	2222	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2223	IF ( intermediate_timestep_count == 1 ) THEN
	2224	DO i = nxl, nxr
	2225	DO j = nys, nyn
[2232]	2226	DO k = nzb+1, nzt
[1875]	2227	tqr_m(k,j,i) = tend(k,j,i)
	2228	ENDDO
	2229	ENDDO
	2230	ENDDO
	2231	ELSEIF ( intermediate_timestep_count < &
	2232	intermediate_timestep_count_max ) THEN
	2233	DO i = nxl, nxr
	2234	DO j = nys, nyn
[2232]	2235	DO k = nzb+1, nzt
	2236	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2237	+ 5.3125_wp * tqr_m(k,j,i)
[1875]	2238	ENDDO
	2239	ENDDO
	2240	ENDDO
	2241	ENDIF
	2242	ENDIF
	2243
	2244	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2245	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2246
	2247	!
	2248	!-- Calculate prognostic equation for rain drop concentration
	2249	sbt = tsc(2)
	2250	IF ( scalar_advec == 'bc-scheme' ) THEN
	2251
	2252	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2253	!
	2254	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2255	sbt = 1.0_wp
	2256	ENDIF
	2257	tend = 0.0_wp
	2258	CALL advec_s_bc( nr, 'nr' )
	2259
	2260	ENDIF
	2261
	2262	!
	2263	!-- nr-tendency terms with no communication
	2264	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2265	tend = 0.0_wp
	2266	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2267	IF ( ws_scheme_sca ) THEN
	2268	CALL advec_s_ws( nr, 'nr' )
	2269	ELSE
	2270	CALL advec_s_pw( nr )
	2271	ENDIF
	2272	ELSE
	2273	CALL advec_s_up( nr )
	2274	ENDIF
	2275	ENDIF
	2276
[2232]	2277	CALL diffusion_s( nr, &
	2278	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	2279	surf_def_h(2)%nrsws, &
	2280	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	2281	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	2282	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	2283	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	2284	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	2285	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	2286	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	2287
	2288	!
	2289	!-- Prognostic equation for rain drop concentration
	2290	DO i = nxl, nxr
	2291	DO j = nys, nyn
[2232]	2292	DO k = nzb+1, nzt
	2293	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2294	tsc(3) * tnr_m(k,j,i) ) &
	2295	- tsc(5) * rdf_sc(k) * &
	2296	nr(k,j,i) &
	2297	) &
	2298	* MERGE( 1.0_wp, 0.0_wp, &
	2299	BTEST( wall_flags_0(k,j,i), 0 ) &
	2300	)
[1875]	2301	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2302	ENDDO
	2303	ENDDO
	2304	ENDDO
	2305
	2306	!
	2307	!-- Calculate tendencies for the next Runge-Kutta step
	2308	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2309	IF ( intermediate_timestep_count == 1 ) THEN
	2310	DO i = nxl, nxr
	2311	DO j = nys, nyn
[2232]	2312	DO k = nzb+1, nzt
[1875]	2313	tnr_m(k,j,i) = tend(k,j,i)
	2314	ENDDO
	2315	ENDDO
	2316	ENDDO
	2317	ELSEIF ( intermediate_timestep_count < &
	2318	intermediate_timestep_count_max ) THEN
	2319	DO i = nxl, nxr
	2320	DO j = nys, nyn
[2232]	2321	DO k = nzb+1, nzt
	2322	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2323	+ 5.3125_wp * tnr_m(k,j,i)
[1875]	2324	ENDDO
	2325	ENDDO
	2326	ENDDO
	2327	ENDIF
	2328	ENDIF
	2329
	2330	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2331
	2332	ENDIF
	2333
	2334	ENDIF
[1960]	2335	!
	2336	!-- If required, compute prognostic equation for scalar
	2337	IF ( passive_scalar ) THEN
[1875]	2338
[1960]	2339	CALL cpu_log( log_point(66), 's-equation', 'start' )
	2340
[1875]	2341	!
[1960]	2342	!-- Scalar/q-tendency terms with communication
	2343	sbt = tsc(2)
	2344	IF ( scalar_advec == 'bc-scheme' ) THEN
	2345
	2346	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2347	!
	2348	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2349	sbt = 1.0_wp
	2350	ENDIF
	2351	tend = 0.0_wp
	2352	CALL advec_s_bc( s, 's' )
	2353
	2354	ENDIF
	2355
	2356	!
	2357	!-- Scalar/q-tendency terms with no communication
	2358	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2359	tend = 0.0_wp
	2360	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2361	IF ( ws_scheme_sca ) THEN
	2362	CALL advec_s_ws( s, 's' )
	2363	ELSE
	2364	CALL advec_s_pw( s )
	2365	ENDIF
	2366	ELSE
	2367	CALL advec_s_up( s )
	2368	ENDIF
	2369	ENDIF
	2370
[2232]	2371	CALL diffusion_s( s, &
	2372	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	2373	surf_def_h(2)%ssws, &
	2374	surf_lsm_h%ssws, surf_usm_h%ssws, &
	2375	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	2376	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	2377	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	2378	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	2379	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	2380	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[2155]	2381
[1960]	2382	!
	2383	!-- Sink or source of humidity due to canopy elements
	2384	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	2385
	2386	!
	2387	!-- Large scale advection. Not implemented for scalars so far.
	2388	! IF ( large_scale_forcing ) THEN
	2389	! CALL ls_advec( simulated_time, 'q' )
	2390	! ENDIF
	2391
	2392	!
	2393	!-- Nudging. Not implemented for scalars so far.
[2155]	2394	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	2395
	2396	!
	2397	!-- If required compute influence of large-scale subsidence/ascent.
	2398	!-- Not implemented for scalars so far.
	2399	IF ( large_scale_subsidence .AND. &
	2400	.NOT. use_subsidence_tendencies .AND. &
	2401	.NOT. large_scale_forcing ) THEN
	2402	CALL subsidence( tend, s, s_init, 3 )
	2403	ENDIF
	2404
	2405	CALL user_actions( 's-tendency' )
	2406
	2407	!
	2408	!-- Prognostic equation for total water content
	2409	DO i = nxl, nxr
	2410	DO j = nys, nyn
[2232]	2411	DO k = nzb+1, nzt
	2412	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2413	tsc(3) * ts_m(k,j,i) ) &
	2414	- tsc(5) * rdf_sc(k) * &
	2415	( s(k,j,i) - s_init(k) ) &
	2416	) &
	2417	* MERGE( 1.0_wp, 0.0_wp, &
	2418	BTEST( wall_flags_0(k,j,i), 0 ) &
	2419	)
[1960]	2420	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	2421	ENDDO
	2422	ENDDO
	2423	ENDDO
	2424
	2425	!
	2426	!-- Calculate tendencies for the next Runge-Kutta step
	2427	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2428	IF ( intermediate_timestep_count == 1 ) THEN
	2429	DO i = nxl, nxr
	2430	DO j = nys, nyn
[2232]	2431	DO k = nzb+1, nzt
[1960]	2432	ts_m(k,j,i) = tend(k,j,i)
	2433	ENDDO
	2434	ENDDO
	2435	ENDDO
	2436	ELSEIF ( intermediate_timestep_count < &
	2437	intermediate_timestep_count_max ) THEN
	2438	DO i = nxl, nxr
	2439	DO j = nys, nyn
[2232]	2440	DO k = nzb+1, nzt
	2441	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2442	+ 5.3125_wp * ts_m(k,j,i)
[1960]	2443	ENDDO
	2444	ENDDO
	2445	ENDDO
	2446	ENDIF
	2447	ENDIF
	2448
	2449	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	2450
	2451	ENDIF
[1875]	2452
[2696]	2453	CALL tcm_prognostic()
[1875]	2454
[2815]	2455	!
	2456	!-- If required, compute prognostic equation for chemical quantites
	2457	IF ( air_chemistry ) THEN
	2458	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
	2459	!
	2460	!-- Loop over chemical species
	2461	DO lsp = 1, nvar
	2462	CALL chem_prognostic_equations ( chem_species(lsp)%conc_p, &
	2463	chem_species(lsp)%conc, &
	2464	chem_species(lsp)%tconc_m, &
	2465	chem_species(lsp)%conc_pr_init, &
	2466	lsp )
	2467	ENDDO
[1875]	2468
[2815]	2469	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
	2470	ENDIF ! Chemicals equations
	2471
	2472
[1875]	2473	END SUBROUTINE prognostic_equations_vector
	2474
	2475
	2476	END MODULE prognostic_equations_mod

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