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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 3208

Last change on this file since 3208 was 3183, checked in by suehring, 6 years ago
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[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	!
[3183]	23	!
[1875]	24	! Former revisions:
	25	! -----------------
	26	! $Id: prognostic_equations.f90 3183 2018-07-27 14:25:55Z sward $
[3183]	27	! Remove unused variables from USE statements
	28	!
	29	! 3182 2018-07-27 13:36:03Z suehring
[3022]	30	! Revise recent bugfix for nesting
	31	!
	32	! 3021 2018-05-16 08:14:20Z maronga
[3021]	33	! Bugfix in IF clause for nesting
	34	!
	35	! 3014 2018-05-09 08:42:38Z maronga
[3014]	36	! Fixed a bug in the IF condition to call pcm_tendency in case of
	37	! potential temperature
	38	!
	39	! 2815 2018-02-19 11:29:57Z kanani
[2815]	40	! Rename chem_tendency to chem_prognostic_equations,
	41	! implement vector version for air chemistry
	42	!
	43	! 2766 2018-01-22 17:17:47Z kanani
[2766]	44	! Removed preprocessor directive __chem
	45	!
	46	! 2746 2018-01-15 12:06:04Z suehring
[2746]	47	! Move flag plant canopy to modules
	48	!
	49	! 2719 2018-01-02 09:02:06Z maronga
[2719]	50	! Bugfix for last change.
	51	!
	52	! 2718 2018-01-02 08:49:38Z maronga
[2716]	53	! Corrected "Former revisions" section
	54	!
	55	! 2696 2017-12-14 17:12:51Z kanani
	56	! - Change in file header (GPL part)
[2696]	57	! - Moved TKE equation to tcm_prognostic (TG)
	58	! - Added switch for chemical reactions (RF, FK)
	59	! - Implementation of chemistry module (RF, BK, FK)
	60	!
	61	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	62	! Variable wind_turbine moved to module control_parameters
	63	!
	64	! 2320 2017-07-21 12:47:43Z suehring
[2320]	65	! Modularize large-scale forcing and nudging
	66	!
	67	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	68	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	69	! includes two more prognostic equations for cloud drop concentration (nc)
	70	! and cloud water content (qc).
	71	!
	72	! 2261 2017-06-08 14:25:57Z raasch
[2261]	73	! bugfix for r2232: openmp directives removed
	74	!
	75	! 2233 2017-05-30 18:08:54Z suehring
[1875]	76	!
[2233]	77	! 2232 2017-05-30 17:47:52Z suehring
	78	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
	79	! which is realized directly in diffusion_s now.
	80	!
[2193]	81	! 2192 2017-03-22 04:14:10Z raasch
	82	! Bugfix for misplaced and missing openMP directives from r2155
	83	!
[2156]	84	! 2155 2017-02-21 09:57:40Z hoffmann
	85	! Bugfix in the calculation of microphysical quantities on ghost points.
	86	!
[2119]	87	! 2118 2017-01-17 16:38:49Z raasch
	88	! OpenACC version of subroutine removed
[2155]	89	!
[2032]	90	! 2031 2016-10-21 15:11:58Z knoop
	91	! renamed variable rho to rho_ocean
[2155]	92	!
[2012]	93	! 2011 2016-09-19 17:29:57Z kanani
	94	! Flag urban_surface is now defined in module control_parameters.
[2155]	95	!
[2008]	96	! 2007 2016-08-24 15:47:17Z kanani
	97	! Added pt tendency calculation based on energy balance at urban surfaces
	98	! (new urban surface model)
[2155]	99	!
[2001]	100	! 2000 2016-08-20 18:09:15Z knoop
	101	! Forced header and separation lines into 80 columns
[2155]	102	!
[1977]	103	! 1976 2016-07-27 13:28:04Z maronga
	104	! Simplied calls to radiation model
[2155]	105	!
[1961]	106	! 1960 2016-07-12 16:34:24Z suehring
	107	! Separate humidity and passive scalar
[2155]	108	!
[1917]	109	! 1914 2016-05-26 14:44:07Z witha
	110	! Added calls for wind turbine model
	111	!
[1874]	112	! 1873 2016-04-18 14:50:06Z maronga
	113	! Module renamed (removed _mod)
[2155]	114	!
[1851]	115	! 1850 2016-04-08 13:29:27Z maronga
	116	! Module renamed
[2155]	117	!
[1827]	118	! 1826 2016-04-07 12:01:39Z maronga
[1875]	119	! Renamed canopy model calls.
[2155]	120	!
[1875]	121	! 1822 2016-04-07 07:49:42Z hoffmann
	122	! Kessler microphysics scheme moved to microphysics.
	123	!
	124	! 1757 2016-02-22 15:49:32Z maronga
[2155]	125	!
[1875]	126	! 1691 2015-10-26 16:17:44Z maronga
	127	! Added optional model spin-up without radiation / land surface model calls.
	128	! Formatting corrections.
[2155]	129	!
[1875]	130	! 1682 2015-10-07 23:56:08Z knoop
[2155]	131	! Code annotations made doxygen readable
	132	!
[1875]	133	! 1585 2015-04-30 07:05:52Z maronga
	134	! Added call for temperature tendency calculation due to radiative flux divergence
[2155]	135	!
[1875]	136	! 1517 2015-01-07 19:12:25Z hoffmann
	137	! advec_s_bc_mod addded, since advec_s_bc is now a module
	138	!
	139	! 1496 2014-12-02 17:25:50Z maronga
	140	! Renamed "radiation" -> "cloud_top_radiation"
[2155]	141	!
[1875]	142	! 1484 2014-10-21 10:53:05Z kanani
	143	! Changes due to new module structure of the plant canopy model:
[2696]	144	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
[1875]	145	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	146	! control_parameters
[2155]	147	!
[1875]	148	! 1409 2014-05-23 12:11:32Z suehring
[2155]	149	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
[1875]	150	! This ensures that left-hand side fluxes are also calculated for nxl in that
[2155]	151	! case, even though the solution at nxl is overwritten in boundary_conds()
	152	!
[1875]	153	! 1398 2014-05-07 11:15:00Z heinze
	154	! Rayleigh-damping for horizontal velocity components changed: instead of damping
[2155]	155	! against ug and vg, damping against u_init and v_init is used to allow for a
[1875]	156	! homogenized treatment in case of nudging
[2155]	157	!
[1875]	158	! 1380 2014-04-28 12:40:45Z heinze
[2155]	159	! Change order of calls for scalar prognostic quantities:
	160	! ls_advec -> nudging -> subsidence since initial profiles
	161	!
[1875]	162	! 1374 2014-04-25 12:55:07Z raasch
	163	! missing variables added to ONLY lists
[2155]	164	!
[1875]	165	! 1365 2014-04-22 15:03:56Z boeske
[2155]	166	! Calls of ls_advec for large scale advection added,
[1875]	167	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	168	! new argument ls_index added to the calls of subsidence
	169	! +ls_index
[2155]	170	!
[1875]	171	! 1361 2014-04-16 15:17:48Z hoffmann
	172	! Two-moment microphysics moved to the start of prognostic equations. This makes
	173	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	174	! Additionally, it is allowed to call the microphysics just once during the time
	175	! step (not at each sub-time step).
	176	!
	177	! Two-moment cloud physics added for vector and accelerator optimization.
[2155]	178	!
[1875]	179	! 1353 2014-04-08 15:21:23Z heinze
	180	! REAL constants provided with KIND-attribute
[2155]	181	!
[1875]	182	! 1337 2014-03-25 15:11:48Z heinze
	183	! Bugfix: REAL constants provided with KIND-attribute
[2155]	184	!
[1875]	185	! 1332 2014-03-25 11:59:43Z suehring
[2155]	186	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	187	!
[1875]	188	! 1330 2014-03-24 17:29:32Z suehring
[2155]	189	! In case of SGS-particle velocity advection of TKE is also allowed with
[1875]	190	! dissipative 5th-order scheme.
	191	!
	192	! 1320 2014-03-20 08:40:49Z raasch
	193	! ONLY-attribute added to USE-statements,
	194	! kind-parameters added to all INTEGER and REAL declaration statements,
	195	! kinds are defined in new module kinds,
	196	! old module precision_kind is removed,
	197	! revision history before 2012 removed,
	198	! comment fields (!:) to be used for variable explanations added to
	199	! all variable declaration statements
	200	!
	201	! 1318 2014-03-17 13:35:16Z raasch
	202	! module interfaces removed
	203	!
	204	! 1257 2013-11-08 15:18:40Z raasch
	205	! openacc loop vector clauses removed, independent clauses added
	206	!
	207	! 1246 2013-11-01 08:59:45Z heinze
	208	! enable nudging also for accelerator version
	209	!
	210	! 1241 2013-10-30 11:36:58Z heinze
	211	! usage of nudging enabled (so far not implemented for accelerator version)
	212	!
	213	! 1179 2013-06-14 05:57:58Z raasch
	214	! two arguments removed from routine buoyancy, ref_state updated on device
	215	!
	216	! 1128 2013-04-12 06:19:32Z raasch
	217	! those parts requiring global communication moved to time_integration,
	218	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	219	! j_north
	220	!
	221	! 1115 2013-03-26 18:16:16Z hoffmann
[2155]	222	! optimized cloud physics: calculation of microphysical tendencies transfered
[1875]	223	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	224	!
	225	! 1111 2013-03-08 23:54:10Z raasch
	226	! update directives for prognostic quantities removed
	227	!
	228	! 1106 2013-03-04 05:31:38Z raasch
	229	! small changes in code formatting
	230	!
	231	! 1092 2013-02-02 11:24:22Z raasch
	232	! unused variables removed
	233	!
	234	! 1053 2012-11-13 17:11:03Z hoffmann
	235	! implementation of two new prognostic equations for rain drop concentration (nr)
	236	! and rain water content (qr)
	237	!
	238	! currently, only available for cache loop optimization
	239	!
	240	! 1036 2012-10-22 13:43:42Z raasch
	241	! code put under GPL (PALM 3.9)
	242	!
	243	! 1019 2012-09-28 06:46:45Z raasch
	244	! non-optimized version of prognostic_equations removed
	245	!
	246	! 1015 2012-09-27 09:23:24Z raasch
	247	! new branch prognostic_equations_acc
	248	! OpenACC statements added + code changes required for GPU optimization
	249	!
	250	! 1001 2012-09-13 14:08:46Z raasch
	251	! all actions concerning leapfrog- and upstream-spline-scheme removed
	252	!
	253	! 978 2012-08-09 08:28:32Z fricke
	254	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	255	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	256	! boundary in case of non-cyclic lateral boundaries
	257	! Bugfix: first thread index changes for WS-scheme at the inflow
	258	!
	259	! 940 2012-07-09 14:31:00Z raasch
	260	! temperature equation can be switched off
	261	!
	262	! Revision 1.1 2000/04/13 14:56:27 schroeter
	263	! Initial revision
	264	!
	265	!
	266	! Description:
	267	! ------------
	268	!> Solving the prognostic equations.
	269	!------------------------------------------------------------------------------!
	270	MODULE prognostic_equations_mod
	271
	272
[2155]	273
[1875]	274	USE arrays_3d, &
[2292]	275	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
	276	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
	277	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
	278	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
	279	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
	280	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
	281	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
	282	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
	283	ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, tend, &
	284	te_m, tnc_m, tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tsa_m, &
	285	tu_m, tv_m, tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, &
	286	w, w_p
[2155]	287
[2696]	288	USE chemistry_model_mod, &
[2815]	289	ONLY: chem_integrate, chem_prognostic_equations, &
	290	chem_species, nspec, nvar, spc_names
[2696]	291
	292	USE chem_photolysis_mod, &
	293	ONLY: photolysis_control
	294
	295	USE chem_modules, &
	296	ONLY: call_chem_at_all_substeps, chem_gasphase_on
	297
[1875]	298	USE control_parameters, &
[2696]	299	ONLY: air_chemistry, call_microphysics_at_all_substeps, &
	300	cloud_physics, cloud_top_radiation, constant_diffusion, &
	301	dp_external, dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, &
[3182]	302	humidity, intermediate_timestep_count, &
[1875]	303	intermediate_timestep_count_max, large_scale_forcing, &
[2746]	304	large_scale_subsidence, microphysics_morrison, &
[3022]	305	microphysics_seifert, microphysics_sat_adjust, neutral, nudging,&
[3182]	306	ocean, passive_scalar, plant_canopy, &
[2746]	307	prho_reference, prho_reference, &
[1875]	308	prho_reference, pt_reference, pt_reference, pt_reference, &
	309	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[2232]	310	timestep_scheme, tsc, use_subsidence_tendencies, &
[2563]	311	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
[3014]	312	ws_scheme_sca, urban_surface, land_surface
[1875]	313
	314	USE cpulog, &
[2696]	315	ONLY: cpu_log, log_point, log_point_s
[1875]	316
[2696]	317
[1875]	318	USE eqn_state_seawater_mod, &
	319	ONLY: eqn_state_seawater
	320
	321	USE indices, &
[2696]	322	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
	323	nzb, nzt, wall_flags_0
[1875]	324
	325	USE advec_ws, &
[2118]	326	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
[1875]	327
	328	USE advec_s_bc_mod, &
	329	ONLY: advec_s_bc
	330
	331	USE advec_s_pw_mod, &
	332	ONLY: advec_s_pw
	333
	334	USE advec_s_up_mod, &
	335	ONLY: advec_s_up
	336
	337	USE advec_u_pw_mod, &
	338	ONLY: advec_u_pw
	339
	340	USE advec_u_up_mod, &
	341	ONLY: advec_u_up
	342
	343	USE advec_v_pw_mod, &
	344	ONLY: advec_v_pw
	345
	346	USE advec_v_up_mod, &
	347	ONLY: advec_v_up
	348
	349	USE advec_w_pw_mod, &
	350	ONLY: advec_w_pw
	351
	352	USE advec_w_up_mod, &
	353	ONLY: advec_w_up
	354
	355	USE buoyancy_mod, &
[2118]	356	ONLY: buoyancy
[1875]	357
	358	USE calc_radiation_mod, &
	359	ONLY: calc_radiation
[2155]	360
[1875]	361	USE coriolis_mod, &
[2118]	362	ONLY: coriolis
[1875]	363
	364	USE diffusion_s_mod, &
[2118]	365	ONLY: diffusion_s
[1875]	366
	367	USE diffusion_u_mod, &
[2118]	368	ONLY: diffusion_u
[1875]	369
	370	USE diffusion_v_mod, &
[2118]	371	ONLY: diffusion_v
[1875]	372
	373	USE diffusion_w_mod, &
[2118]	374	ONLY: diffusion_w
[1875]	375
	376	USE kinds
	377
[2320]	378	USE lsf_nudging_mod, &
	379	ONLY: ls_advec, nudge
[1875]	380
	381	USE microphysics_mod, &
	382	ONLY: microphysics_control
	383
	384	USE plant_canopy_model_mod, &
[2746]	385	ONLY: cthf, pcm_tendency
[1875]	386
	387	USE radiation_model_mod, &
[1976]	388	ONLY: radiation, radiation_tendency, &
[1875]	389	skip_time_do_radiation
	390
	391	USE statistics, &
	392	ONLY: hom
	393
	394	USE subsidence_mod, &
	395	ONLY: subsidence
	396
[2696]	397	USE turbulence_closure_mod, &
	398	ONLY: tcm_prognostic
	399
[1875]	400	USE user_actions_mod, &
	401	ONLY: user_actions
	402
[2232]	403	USE surface_mod, &
	404	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	405	surf_usm_v
	406
[1914]	407	USE wind_turbine_model_mod, &
[2563]	408	ONLY: wtm_tendencies
[1875]	409
[1914]	410
[1875]	411	PRIVATE
[2118]	412	PUBLIC prognostic_equations_cache, prognostic_equations_vector
[1875]	413
	414	INTERFACE prognostic_equations_cache
	415	MODULE PROCEDURE prognostic_equations_cache
	416	END INTERFACE prognostic_equations_cache
	417
	418	INTERFACE prognostic_equations_vector
	419	MODULE PROCEDURE prognostic_equations_vector
	420	END INTERFACE prognostic_equations_vector
	421
	422
	423	CONTAINS
	424
	425
	426	!------------------------------------------------------------------------------!
	427	! Description:
	428	! ------------
	429	!> Version with one optimized loop over all equations. It is only allowed to
	430	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	431	!>
	432	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	433	!> so communication between CPUs is not allowed (does not make sense) within
	434	!> these loops.
	435	!>
	436	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	437	!------------------------------------------------------------------------------!
[2155]	438
[1875]	439	SUBROUTINE prognostic_equations_cache
	440
	441
	442	IMPLICIT NONE
	443
	444	INTEGER(iwp) :: i !<
	445	INTEGER(iwp) :: i_omp_start !<
	446	INTEGER(iwp) :: j !<
	447	INTEGER(iwp) :: k !<
	448	INTEGER(iwp) :: omp_get_thread_num !<
	449	INTEGER(iwp) :: tn = 0 !<
[2155]	450
[1875]	451	LOGICAL :: loop_start !<
[2696]	452	INTEGER :: n, lsp !< lsp running index for chem spcs
[1875]	453
	454
	455	!
	456	!-- Time measurement can only be performed for the whole set of equations
	457	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	458
	459	!
[2696]	460	!-- Calculation of chemical reactions. This is done outside of main loop,
	461	!-- since exchange of ghost points is required after this update of the
	462	!-- concentrations of chemical species
	463	IF ( air_chemistry ) THEN
	464	!
	465	!-- If required, calculate photolysis frequencies -
	466	!-- UNFINISHED: Why not before the intermediate timestep loop?
	467	IF ( intermediate_timestep_count == 1 ) THEN
	468	CALL photolysis_control
	469	ENDIF
	470	!
	471	!-- Chemical reactions
	472	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'start' )
	473
	474	IF ( chem_gasphase_on ) THEN
	475	DO i = nxl, nxr
	476	DO j = nys, nyn
	477
	478	IF ( intermediate_timestep_count == 1 .OR. &
	479	call_chem_at_all_substeps ) THEN
	480	CALL chem_integrate (i,j)
	481	ENDIF
	482	ENDDO
	483	ENDDO
	484	ENDIF
	485	!
	486	!-- Loop over chemical species
	487	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'start' )
	488	DO n = 1, nspec
	489	CALL exchange_horiz( chem_species(n)%conc, nbgp )
	490	ENDDO
	491	CALL cpu_log( log_point_s(84), 'chemistry exch-horiz ', 'stop' )
	492
	493	CALL cpu_log( log_point(82), '(chem react + exch_h)', 'stop' )
	494
	495	ENDIF
	496
	497	!
[2155]	498	!-- If required, calculate cloud microphysics
	499	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	500	( intermediate_timestep_count == 1 .OR. &
[2192]	501	call_microphysics_at_all_substeps ) ) &
	502	THEN
[2261]	503	!$OMP PARALLEL PRIVATE (i,j)
[2192]	504	!$OMP DO
[2155]	505	DO i = nxlg, nxrg
	506	DO j = nysg, nyng
	507	CALL microphysics_control( i, j )
[2192]	508	ENDDO
	509	ENDDO
	510	!$OMP END PARALLEL
[2155]	511	ENDIF
	512
[2192]	513	!
	514	!-- Loop over all prognostic equations
[2261]	515	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
[2192]	516
	517	!$ tn = omp_get_thread_num()
	518	loop_start = .TRUE.
	519
	520	!$OMP DO
[1875]	521	DO i = nxl, nxr
	522
	523	!
	524	!-- Store the first loop index. It differs for each thread and is required
	525	!-- later in advec_ws
	526	IF ( loop_start ) THEN
	527	loop_start = .FALSE.
[2155]	528	i_omp_start = i
[1875]	529	ENDIF
	530
	531	DO j = nys, nyn
	532	!
[3022]	533	!-- Tendency terms for u-velocity component. Please note, in case of
	534	!-- non-cyclic boundary conditions the grid point i=0 is excluded from
	535	!-- the prognostic equations for the u-component.
	536	IF ( i >= nxlu ) THEN
[1875]	537
	538	tend(:,j,i) = 0.0_wp
	539	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	540	IF ( ws_scheme_mom ) THEN
	541	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	542	ELSE
[1875]	543	CALL advec_u_pw( i, j )
[2155]	544	ENDIF
[1875]	545	ELSE
	546	CALL advec_u_up( i, j )
	547	ENDIF
	548	CALL diffusion_u( i, j )
	549	CALL coriolis( i, j, 1 )
	550	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	551	CALL buoyancy( i, j, pt, 1 )
	552	ENDIF
	553
	554	!
	555	!-- Drag by plant canopy
	556	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	557
	558	!
	559	!-- External pressure gradient
	560	IF ( dp_external ) THEN
	561	DO k = dp_level_ind_b+1, nzt
	562	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	563	ENDDO
	564	ENDIF
	565
	566	!
	567	!-- Nudging
	568	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	569
[1914]	570	!
	571	!-- Forces by wind turbines
	572	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	573
[1875]	574	CALL user_actions( i, j, 'u-tendency' )
	575	!
	576	!-- Prognostic equation for u-velocity component
[2232]	577	DO k = nzb+1, nzt
	578
	579	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
	580	( tsc(2) * tend(k,j,i) + &
	581	tsc(3) * tu_m(k,j,i) ) &
	582	- tsc(5) * rdf(k) &
	583	* ( u(k,j,i) - u_init(k) ) &
	584	) * MERGE( 1.0_wp, 0.0_wp, &
	585	BTEST( wall_flags_0(k,j,i), 1 )&
	586	)
[1875]	587	ENDDO
	588
	589	!
	590	!-- Calculate tendencies for the next Runge-Kutta step
	591	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	592	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	593	DO k = nzb+1, nzt
[1875]	594	tu_m(k,j,i) = tend(k,j,i)
	595	ENDDO
	596	ELSEIF ( intermediate_timestep_count < &
	597	intermediate_timestep_count_max ) THEN
[2232]	598	DO k = nzb+1, nzt
	599	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	600	+ 5.3125_wp * tu_m(k,j,i)
[1875]	601	ENDDO
	602	ENDIF
	603	ENDIF
	604
	605	ENDIF
	606	!
[3022]	607	!-- Tendency terms for v-velocity component. Please note, in case of
	608	!-- non-cyclic boundary conditions the grid point j=0 is excluded from
	609	!-- the prognostic equations for the v-component. !--
	610	IF ( j >= nysv ) THEN
[1875]	611
	612	tend(:,j,i) = 0.0_wp
	613	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	614	IF ( ws_scheme_mom ) THEN
	615	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	616	ELSE
[1875]	617	CALL advec_v_pw( i, j )
	618	ENDIF
	619	ELSE
	620	CALL advec_v_up( i, j )
	621	ENDIF
	622	CALL diffusion_v( i, j )
	623	CALL coriolis( i, j, 2 )
	624
	625	!
	626	!-- Drag by plant canopy
[2155]	627	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	628
	629	!
	630	!-- External pressure gradient
	631	IF ( dp_external ) THEN
	632	DO k = dp_level_ind_b+1, nzt
	633	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	634	ENDDO
	635	ENDIF
	636
	637	!
	638	!-- Nudging
	639	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	640
[1914]	641	!
	642	!-- Forces by wind turbines
	643	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	644
[1875]	645	CALL user_actions( i, j, 'v-tendency' )
	646	!
	647	!-- Prognostic equation for v-velocity component
[2232]	648	DO k = nzb+1, nzt
	649	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
	650	( tsc(2) * tend(k,j,i) + &
	651	tsc(3) * tv_m(k,j,i) ) &
	652	- tsc(5) * rdf(k) &
	653	* ( v(k,j,i) - v_init(k) )&
	654	) * MERGE( 1.0_wp, 0.0_wp, &
	655	BTEST( wall_flags_0(k,j,i), 2 )&
	656	)
[1875]	657	ENDDO
	658
	659	!
	660	!-- Calculate tendencies for the next Runge-Kutta step
	661	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	662	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	663	DO k = nzb+1, nzt
[1875]	664	tv_m(k,j,i) = tend(k,j,i)
	665	ENDDO
	666	ELSEIF ( intermediate_timestep_count < &
	667	intermediate_timestep_count_max ) THEN
[2232]	668	DO k = nzb+1, nzt
	669	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	670	+ 5.3125_wp * tv_m(k,j,i)
[1875]	671	ENDDO
	672	ENDIF
	673	ENDIF
	674
	675	ENDIF
	676
	677	!
	678	!-- Tendency terms for w-velocity component
	679	tend(:,j,i) = 0.0_wp
	680	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	681	IF ( ws_scheme_mom ) THEN
	682	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	683	ELSE
[1875]	684	CALL advec_w_pw( i, j )
	685	END IF
	686	ELSE
	687	CALL advec_w_up( i, j )
	688	ENDIF
	689	CALL diffusion_w( i, j )
	690	CALL coriolis( i, j, 3 )
	691
	692	IF ( .NOT. neutral ) THEN
	693	IF ( ocean ) THEN
[2031]	694	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	695	ELSE
	696	IF ( .NOT. humidity ) THEN
	697	CALL buoyancy( i, j, pt, 3 )
	698	ELSE
	699	CALL buoyancy( i, j, vpt, 3 )
	700	ENDIF
	701	ENDIF
	702	ENDIF
	703
	704	!
	705	!-- Drag by plant canopy
	706	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	707
[1914]	708	!
	709	!-- Forces by wind turbines
	710	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	711
[1875]	712	CALL user_actions( i, j, 'w-tendency' )
	713	!
	714	!-- Prognostic equation for w-velocity component
[2232]	715	DO k = nzb+1, nzt-1
	716	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
	717	( tsc(2) * tend(k,j,i) + &
[1875]	718	tsc(3) * tw_m(k,j,i) ) &
[2232]	719	- tsc(5) * rdf(k) * w(k,j,i) &
	720	) * MERGE( 1.0_wp, 0.0_wp, &
	721	BTEST( wall_flags_0(k,j,i), 3 )&
	722	)
[1875]	723	ENDDO
	724
	725	!
	726	!-- Calculate tendencies for the next Runge-Kutta step
	727	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	728	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	729	DO k = nzb+1, nzt-1
[1875]	730	tw_m(k,j,i) = tend(k,j,i)
	731	ENDDO
	732	ELSEIF ( intermediate_timestep_count < &
	733	intermediate_timestep_count_max ) THEN
[2232]	734	DO k = nzb+1, nzt-1
	735	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	736	+ 5.3125_wp * tw_m(k,j,i)
[1875]	737	ENDDO
	738	ENDIF
	739	ENDIF
	740
	741	!
	742	!-- If required, compute prognostic equation for potential temperature
	743	IF ( .NOT. neutral ) THEN
	744	!
	745	!-- Tendency terms for potential temperature
	746	tend(:,j,i) = 0.0_wp
	747	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	748	IF ( ws_scheme_sca ) THEN
[2232]	749	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
[1875]	750	flux_l_pt, diss_l_pt, i_omp_start, tn )
	751	ELSE
	752	CALL advec_s_pw( i, j, pt )
	753	ENDIF
	754	ELSE
	755	CALL advec_s_up( i, j, pt )
	756	ENDIF
[2232]	757	CALL diffusion_s( i, j, pt, &
	758	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	759	surf_def_h(2)%shf, &
	760	surf_lsm_h%shf, surf_usm_h%shf, &
	761	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	762	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	763	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	764	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	765	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	766	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	767	!
	768	!-- If required compute heating/cooling due to long wave radiation
	769	!-- processes
	770	IF ( cloud_top_radiation ) THEN
	771	CALL calc_radiation( i, j )
	772	ENDIF
	773
	774	!
	775	!-- Consideration of heat sources within the plant canopy
[3014]	776	IF ( plant_canopy .AND. &
	777	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
[1875]	778	CALL pcm_tendency( i, j, 4 )
	779	ENDIF
	780
	781	!
	782	!-- Large scale advection
	783	IF ( large_scale_forcing ) THEN
	784	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	785	ENDIF
[1875]	786
	787	!
	788	!-- Nudging
[2155]	789	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	790
	791	!
	792	!-- If required, compute effect of large-scale subsidence/ascent
	793	IF ( large_scale_subsidence .AND. &
	794	.NOT. use_subsidence_tendencies ) THEN
	795	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	796	ENDIF
	797
	798	!
	799	!-- If required, add tendency due to radiative heating/cooling
[1976]	800	IF ( radiation .AND. &
[1875]	801	simulated_time > skip_time_do_radiation ) THEN
	802	CALL radiation_tendency ( i, j, tend )
	803	ENDIF
	804
	805
	806	CALL user_actions( i, j, 'pt-tendency' )
	807	!
	808	!-- Prognostic equation for potential temperature
[2232]	809	DO k = nzb+1, nzt
	810	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
	811	( tsc(2) * tend(k,j,i) + &
[1875]	812	tsc(3) * tpt_m(k,j,i) ) &
[2232]	813	- tsc(5) &
	814	* ( pt(k,j,i) - pt_init(k) ) &
	815	* ( rdf_sc(k) + ptdf_x(i) &
	816	+ ptdf_y(j) ) &
	817	) &
	818	* MERGE( 1.0_wp, 0.0_wp, &
	819	BTEST( wall_flags_0(k,j,i), 0 )&
	820	)
[1875]	821	ENDDO
	822
	823	!
	824	!-- Calculate tendencies for the next Runge-Kutta step
	825	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	826	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	827	DO k = nzb+1, nzt
[1875]	828	tpt_m(k,j,i) = tend(k,j,i)
	829	ENDDO
	830	ELSEIF ( intermediate_timestep_count < &
	831	intermediate_timestep_count_max ) THEN
[2232]	832	DO k = nzb+1, nzt
	833	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	834	5.3125_wp * tpt_m(k,j,i)
[1875]	835	ENDDO
	836	ENDIF
	837	ENDIF
	838
	839	ENDIF
	840
	841	!
	842	!-- If required, compute prognostic equation for salinity
	843	IF ( ocean ) THEN
	844
	845	!
	846	!-- Tendency-terms for salinity
	847	tend(:,j,i) = 0.0_wp
	848	IF ( timestep_scheme(1:5) == 'runge' ) &
	849	THEN
	850	IF ( ws_scheme_sca ) THEN
	851	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	852	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	853	ELSE
[1875]	854	CALL advec_s_pw( i, j, sa )
	855	ENDIF
	856	ELSE
	857	CALL advec_s_up( i, j, sa )
	858	ENDIF
[2232]	859	CALL diffusion_s( i, j, sa, &
	860	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	861	surf_def_h(2)%sasws, &
	862	surf_lsm_h%sasws, surf_usm_h%sasws, &
	863	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	864	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	865	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	866	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	867	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	868	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[1875]	869
	870	CALL user_actions( i, j, 'sa-tendency' )
	871
	872	!
	873	!-- Prognostic equation for salinity
[2232]	874	DO k = nzb+1, nzt
	875	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * &
	876	( tsc(2) * tend(k,j,i) + &
[1875]	877	tsc(3) * tsa_m(k,j,i) ) &
[2232]	878	- tsc(5) * rdf_sc(k) &
	879	* ( sa(k,j,i) - sa_init(k) )&
	880	) * MERGE( 1.0_wp, 0.0_wp, &
	881	BTEST( wall_flags_0(k,j,i), 0 )&
	882	)
[1875]	883	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	884	ENDDO
	885
	886	!
	887	!-- Calculate tendencies for the next Runge-Kutta step
	888	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	889	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	890	DO k = nzb+1, nzt
[1875]	891	tsa_m(k,j,i) = tend(k,j,i)
	892	ENDDO
	893	ELSEIF ( intermediate_timestep_count < &
	894	intermediate_timestep_count_max ) THEN
[2232]	895	DO k = nzb+1, nzt
	896	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	897	5.3125_wp * tsa_m(k,j,i)
	898	ENDDO
[1875]	899	ENDIF
	900	ENDIF
	901
	902	!
	903	!-- Calculate density by the equation of state for seawater
	904	CALL eqn_state_seawater( i, j )
	905
	906	ENDIF
	907
	908	!
[1960]	909	!-- If required, compute prognostic equation for total water content
	910	IF ( humidity ) THEN
[1875]	911
	912	!
	913	!-- Tendency-terms for total water content / scalar
	914	tend(:,j,i) = 0.0_wp
	915	IF ( timestep_scheme(1:5) == 'runge' ) &
	916	THEN
	917	IF ( ws_scheme_sca ) THEN
[2155]	918	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	919	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	920	ELSE
[1875]	921	CALL advec_s_pw( i, j, q )
	922	ENDIF
	923	ELSE
	924	CALL advec_s_up( i, j, q )
	925	ENDIF
[2232]	926	CALL diffusion_s( i, j, q, &
	927	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	928	surf_def_h(2)%qsws, &
	929	surf_lsm_h%qsws, surf_usm_h%qsws, &
	930	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	931	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	932	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	933	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	934	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	935	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[1875]	936
	937	!
[1960]	938	!-- Sink or source of humidity due to canopy elements
[1875]	939	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	940
	941	!
	942	!-- Large scale advection
	943	IF ( large_scale_forcing ) THEN
	944	CALL ls_advec( i, j, simulated_time, 'q' )
	945	ENDIF
	946
	947	!
	948	!-- Nudging
[2155]	949	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	950
	951	!
	952	!-- If required compute influence of large-scale subsidence/ascent
	953	IF ( large_scale_subsidence .AND. &
	954	.NOT. use_subsidence_tendencies ) THEN
	955	CALL subsidence( i, j, tend, q, q_init, 3 )
	956	ENDIF
	957
	958	CALL user_actions( i, j, 'q-tendency' )
	959
	960	!
	961	!-- Prognostic equation for total water content / scalar
[2232]	962	DO k = nzb+1, nzt
	963	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
	964	( tsc(2) * tend(k,j,i) + &
[1875]	965	tsc(3) * tq_m(k,j,i) ) &
[2232]	966	- tsc(5) * rdf_sc(k) * &
	967	( q(k,j,i) - q_init(k) ) &
	968	) &
	969	* MERGE( 1.0_wp, 0.0_wp, &
	970	BTEST( wall_flags_0(k,j,i), 0 )&
	971	)
[1875]	972	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	973	ENDDO
	974
	975	!
	976	!-- Calculate tendencies for the next Runge-Kutta step
	977	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	978	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	979	DO k = nzb+1, nzt
[1875]	980	tq_m(k,j,i) = tend(k,j,i)
	981	ENDDO
	982	ELSEIF ( intermediate_timestep_count < &
	983	intermediate_timestep_count_max ) THEN
[2232]	984	DO k = nzb+1, nzt
	985	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	986	5.3125_wp * tq_m(k,j,i)
[1875]	987	ENDDO
	988	ENDIF
	989	ENDIF
	990
	991	!
[2292]	992	!-- If required, calculate prognostic equations for cloud water content
	993	!-- and cloud drop concentration
	994	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	995	!
	996	!-- Calculate prognostic equation for cloud water content
	997	tend(:,j,i) = 0.0_wp
	998	IF ( timestep_scheme(1:5) == 'runge' ) &
	999	THEN
	1000	IF ( ws_scheme_sca ) THEN
	1001	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
	1002	diss_s_qc, flux_l_qc, diss_l_qc, &
	1003	i_omp_start, tn )
	1004	ELSE
	1005	CALL advec_s_pw( i, j, qc )
	1006	ENDIF
	1007	ELSE
	1008	CALL advec_s_up( i, j, qc )
	1009	ENDIF
	1010	CALL diffusion_s( i, j, qc, &
	1011	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	1012	surf_def_h(2)%qcsws, &
	1013	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	1014	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	1015	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	1016	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	1017	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	1018	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	1019	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	1020
	1021	!
	1022	!-- Prognostic equation for cloud water content
	1023	DO k = nzb+1, nzt
	1024	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
	1025	( tsc(2) * tend(k,j,i) + &
	1026	tsc(3) * tqc_m(k,j,i) )&
	1027	- tsc(5) * rdf_sc(k) &
	1028	* qc(k,j,i) &
	1029	) &
	1030	* MERGE( 1.0_wp, 0.0_wp, &
	1031	BTEST( wall_flags_0(k,j,i), 0 )&
	1032	)
	1033	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	1034	ENDDO
	1035	!
	1036	!-- Calculate tendencies for the next Runge-Kutta step
	1037	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1038	IF ( intermediate_timestep_count == 1 ) THEN
	1039	DO k = nzb+1, nzt
	1040	tqc_m(k,j,i) = tend(k,j,i)
	1041	ENDDO
	1042	ELSEIF ( intermediate_timestep_count < &
	1043	intermediate_timestep_count_max ) THEN
	1044	DO k = nzb+1, nzt
	1045	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1046	5.3125_wp * tqc_m(k,j,i)
	1047	ENDDO
	1048	ENDIF
	1049	ENDIF
	1050
	1051	!
	1052	!-- Calculate prognostic equation for cloud drop concentration.
	1053	tend(:,j,i) = 0.0_wp
	1054	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1055	IF ( ws_scheme_sca ) THEN
	1056	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
	1057	diss_s_nc, flux_l_nc, diss_l_nc, &
	1058	i_omp_start, tn )
	1059	ELSE
	1060	CALL advec_s_pw( i, j, nc )
	1061	ENDIF
	1062	ELSE
	1063	CALL advec_s_up( i, j, nc )
	1064	ENDIF
	1065	CALL diffusion_s( i, j, nc, &
	1066	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	1067	surf_def_h(2)%ncsws, &
	1068	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	1069	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	1070	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	1071	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	1072	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	1073	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	1074	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	1075
	1076	!
	1077	!-- Prognostic equation for cloud drop concentration
	1078	DO k = nzb+1, nzt
	1079	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
	1080	( tsc(2) * tend(k,j,i) + &
	1081	tsc(3) * tnc_m(k,j,i) )&
	1082	- tsc(5) * rdf_sc(k) &
	1083	* nc(k,j,i) &
	1084	) &
	1085	* MERGE( 1.0_wp, 0.0_wp, &
	1086	BTEST( wall_flags_0(k,j,i), 0 )&
	1087	)
	1088	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	1089	ENDDO
	1090	!
	1091	!-- Calculate tendencies for the next Runge-Kutta step
	1092	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1093	IF ( intermediate_timestep_count == 1 ) THEN
	1094	DO k = nzb+1, nzt
	1095	tnc_m(k,j,i) = tend(k,j,i)
	1096	ENDDO
	1097	ELSEIF ( intermediate_timestep_count < &
	1098	intermediate_timestep_count_max ) THEN
	1099	DO k = nzb+1, nzt
	1100	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1101	5.3125_wp * tnc_m(k,j,i)
	1102	ENDDO
	1103	ENDIF
	1104	ENDIF
	1105
	1106	ENDIF
	1107	!
[2155]	1108	!-- If required, calculate prognostic equations for rain water content
[1875]	1109	!-- and rain drop concentration
	1110	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1111	!
	1112	!-- Calculate prognostic equation for rain water content
	1113	tend(:,j,i) = 0.0_wp
	1114	IF ( timestep_scheme(1:5) == 'runge' ) &
	1115	THEN
	1116	IF ( ws_scheme_sca ) THEN
[2155]	1117	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	1118	diss_s_qr, flux_l_qr, diss_l_qr, &
	1119	i_omp_start, tn )
[2155]	1120	ELSE
[1875]	1121	CALL advec_s_pw( i, j, qr )
	1122	ENDIF
	1123	ELSE
	1124	CALL advec_s_up( i, j, qr )
	1125	ENDIF
[2232]	1126	CALL diffusion_s( i, j, qr, &
	1127	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	1128	surf_def_h(2)%qrsws, &
	1129	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	1130	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	1131	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	1132	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	1133	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	1134	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	1135	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	1136
	1137	!
	1138	!-- Prognostic equation for rain water content
[2232]	1139	DO k = nzb+1, nzt
	1140	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
	1141	( tsc(2) * tend(k,j,i) + &
	1142	tsc(3) * tqr_m(k,j,i) )&
	1143	- tsc(5) * rdf_sc(k) &
	1144	* qr(k,j,i) &
	1145	) &
	1146	* MERGE( 1.0_wp, 0.0_wp, &
	1147	BTEST( wall_flags_0(k,j,i), 0 )&
	1148	)
[1875]	1149	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1150	ENDDO
	1151	!
	1152	!-- Calculate tendencies for the next Runge-Kutta step
	1153	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1154	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1155	DO k = nzb+1, nzt
[1875]	1156	tqr_m(k,j,i) = tend(k,j,i)
	1157	ENDDO
	1158	ELSEIF ( intermediate_timestep_count < &
	1159	intermediate_timestep_count_max ) THEN
[2232]	1160	DO k = nzb+1, nzt
	1161	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1162	5.3125_wp * tqr_m(k,j,i)
[1875]	1163	ENDDO
	1164	ENDIF
	1165	ENDIF
	1166
	1167	!
	1168	!-- Calculate prognostic equation for rain drop concentration.
	1169	tend(:,j,i) = 0.0_wp
	1170	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1171	IF ( ws_scheme_sca ) THEN
[2155]	1172	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	1173	diss_s_nr, flux_l_nr, diss_l_nr, &
	1174	i_omp_start, tn )
[2155]	1175	ELSE
[1875]	1176	CALL advec_s_pw( i, j, nr )
	1177	ENDIF
	1178	ELSE
	1179	CALL advec_s_up( i, j, nr )
	1180	ENDIF
[2232]	1181	CALL diffusion_s( i, j, nr, &
	1182	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	1183	surf_def_h(2)%nrsws, &
	1184	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	1185	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	1186	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	1187	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	1188	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	1189	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	1190	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	1191
	1192	!
	1193	!-- Prognostic equation for rain drop concentration
[2232]	1194	DO k = nzb+1, nzt
	1195	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
	1196	( tsc(2) * tend(k,j,i) + &
	1197	tsc(3) * tnr_m(k,j,i) )&
	1198	- tsc(5) * rdf_sc(k) &
	1199	* nr(k,j,i) &
	1200	) &
	1201	* MERGE( 1.0_wp, 0.0_wp, &
	1202	BTEST( wall_flags_0(k,j,i), 0 )&
	1203	)
[1875]	1204	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1205	ENDDO
	1206	!
	1207	!-- Calculate tendencies for the next Runge-Kutta step
	1208	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1209	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1210	DO k = nzb+1, nzt
[1875]	1211	tnr_m(k,j,i) = tend(k,j,i)
	1212	ENDDO
	1213	ELSEIF ( intermediate_timestep_count < &
	1214	intermediate_timestep_count_max ) THEN
[2232]	1215	DO k = nzb+1, nzt
	1216	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1217	5.3125_wp * tnr_m(k,j,i)
[1875]	1218	ENDDO
	1219	ENDIF
	1220	ENDIF
	1221
	1222	ENDIF
	1223
	1224	ENDIF
[2155]	1225
[1960]	1226	!
	1227	!-- If required, compute prognostic equation for scalar
	1228	IF ( passive_scalar ) THEN
	1229	!
	1230	!-- Tendency-terms for total water content / scalar
	1231	tend(:,j,i) = 0.0_wp
	1232	IF ( timestep_scheme(1:5) == 'runge' ) &
	1233	THEN
	1234	IF ( ws_scheme_sca ) THEN
[2155]	1235	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	1236	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	1237	ELSE
[1960]	1238	CALL advec_s_pw( i, j, s )
	1239	ENDIF
	1240	ELSE
	1241	CALL advec_s_up( i, j, s )
	1242	ENDIF
[2232]	1243	CALL diffusion_s( i, j, s, &
	1244	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	1245	surf_def_h(2)%ssws, &
	1246	surf_lsm_h%ssws, surf_usm_h%ssws, &
	1247	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	1248	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	1249	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	1250	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	1251	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	1252	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[1875]	1253
	1254	!
[1960]	1255	!-- Sink or source of scalar concentration due to canopy elements
	1256	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	1257
	1258	!
	1259	!-- Large scale advection, still need to be extended for scalars
	1260	! IF ( large_scale_forcing ) THEN
	1261	! CALL ls_advec( i, j, simulated_time, 's' )
	1262	! ENDIF
	1263
	1264	!
	1265	!-- Nudging, still need to be extended for scalars
[2155]	1266	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	1267
	1268	!
	1269	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	1270	!-- Note, the last argument is of no meaning in this case, as it is
	1271	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	1272	!-- date not implemented for scalars.
	1273	IF ( large_scale_subsidence .AND. &
	1274	.NOT. use_subsidence_tendencies .AND. &
	1275	.NOT. large_scale_forcing ) THEN
	1276	CALL subsidence( i, j, tend, s, s_init, 3 )
	1277	ENDIF
	1278
	1279	CALL user_actions( i, j, 's-tendency' )
	1280
	1281	!
	1282	!-- Prognostic equation for scalar
[2232]	1283	DO k = nzb+1, nzt
	1284	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
	1285	( tsc(2) * tend(k,j,i) + &
	1286	tsc(3) * ts_m(k,j,i) ) &
	1287	- tsc(5) * rdf_sc(k) &
	1288	* ( s(k,j,i) - s_init(k) )&
	1289	) &
	1290	* MERGE( 1.0_wp, 0.0_wp, &
	1291	BTEST( wall_flags_0(k,j,i), 0 )&
	1292	)
[1960]	1293	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1294	ENDDO
	1295
	1296	!
	1297	!-- Calculate tendencies for the next Runge-Kutta step
	1298	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1299	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1300	DO k = nzb+1, nzt
[1960]	1301	ts_m(k,j,i) = tend(k,j,i)
	1302	ENDDO
	1303	ELSEIF ( intermediate_timestep_count < &
	1304	intermediate_timestep_count_max ) THEN
[2232]	1305	DO k = nzb+1, nzt
	1306	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1307	5.3125_wp * ts_m(k,j,i)
[1960]	1308	ENDDO
	1309	ENDIF
	1310	ENDIF
	1311
[2155]	1312	ENDIF
[1960]	1313	!
[2696]	1314	!-- Calculate prognostic equations for turbulence closure
	1315	CALL tcm_prognostic( i, j, i_omp_start, tn )
[1875]	1316
	1317	!
[2696]	1318	!-- If required, compute prognostic equation for chemical quantites
	1319	IF ( air_chemistry ) THEN
	1320	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
[1875]	1321	!
[2696]	1322	!-- Loop over chemical species
[2815]	1323	DO lsp = 1, nvar
	1324	CALL chem_prognostic_equations ( chem_species(lsp)%conc_p, &
[2696]	1325	chem_species(lsp)%conc, &
	1326	chem_species(lsp)%tconc_m, &
	1327	chem_species(lsp)%conc_pr_init, &
	1328	i, j, i_omp_start, tn, lsp, &
	1329	chem_species(lsp)%flux_s_cs, &
	1330	chem_species(lsp)%diss_s_cs, &
	1331	chem_species(lsp)%flux_l_cs, &
	1332	chem_species(lsp)%diss_l_cs )
[1875]	1333	ENDDO
	1334
[2696]	1335	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
	1336	ENDIF ! Chemicals equations
[1875]	1337
	1338	ENDDO
	1339	ENDDO
[2192]	1340	!$OMP END PARALLEL
[1875]	1341
[2232]	1342
[1875]	1343	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1344
	1345
	1346	END SUBROUTINE prognostic_equations_cache
	1347
	1348
	1349	!------------------------------------------------------------------------------!
	1350	! Description:
	1351	! ------------
	1352	!> Version for vector machines
	1353	!------------------------------------------------------------------------------!
[2155]	1354
[1875]	1355	SUBROUTINE prognostic_equations_vector
	1356
	1357
	1358	IMPLICIT NONE
	1359
[2815]	1360	INTEGER(iwp) :: i !<
	1361	INTEGER(iwp) :: j !<
	1362	INTEGER(iwp) :: k !<
	1363	INTEGER(iwp) :: lsp !< running index for chemical species
[1875]	1364
	1365	REAL(wp) :: sbt !<
	1366
	1367
	1368	!
	1369	!-- If required, calculate cloud microphysical impacts
	1370	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1371	( intermediate_timestep_count == 1 .OR. &
	1372	call_microphysics_at_all_substeps ) &
	1373	) THEN
	1374	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1375	CALL microphysics_control
	1376	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1377	ENDIF
	1378
	1379	!
	1380	!-- u-velocity component
	1381	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1382
	1383	tend = 0.0_wp
	1384	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1385	IF ( ws_scheme_mom ) THEN
	1386	CALL advec_u_ws
	1387	ELSE
	1388	CALL advec_u_pw
	1389	ENDIF
	1390	ELSE
	1391	CALL advec_u_up
	1392	ENDIF
	1393	CALL diffusion_u
	1394	CALL coriolis( 1 )
	1395	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1396	CALL buoyancy( pt, 1 )
	1397	ENDIF
	1398
	1399	!
	1400	!-- Drag by plant canopy
	1401	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1402
	1403	!
	1404	!-- External pressure gradient
	1405	IF ( dp_external ) THEN
	1406	DO i = nxlu, nxr
	1407	DO j = nys, nyn
	1408	DO k = dp_level_ind_b+1, nzt
	1409	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1410	ENDDO
	1411	ENDDO
	1412	ENDDO
	1413	ENDIF
	1414
	1415	!
	1416	!-- Nudging
	1417	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1418
[1914]	1419	!
	1420	!-- Forces by wind turbines
	1421	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1422
[1875]	1423	CALL user_actions( 'u-tendency' )
	1424
	1425	!
	1426	!-- Prognostic equation for u-velocity component
	1427	DO i = nxlu, nxr
	1428	DO j = nys, nyn
[2232]	1429	DO k = nzb+1, nzt
	1430	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1431	tsc(3) * tu_m(k,j,i) ) &
	1432	- tsc(5) * rdf(k) * &
	1433	( u(k,j,i) - u_init(k) ) &
	1434	) * MERGE( 1.0_wp, 0.0_wp, &
	1435	BTEST( wall_flags_0(k,j,i), 1 ) &
	1436	)
[1875]	1437	ENDDO
	1438	ENDDO
	1439	ENDDO
	1440
	1441	!
	1442	!-- Calculate tendencies for the next Runge-Kutta step
	1443	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1444	IF ( intermediate_timestep_count == 1 ) THEN
	1445	DO i = nxlu, nxr
	1446	DO j = nys, nyn
[2232]	1447	DO k = nzb+1, nzt
[1875]	1448	tu_m(k,j,i) = tend(k,j,i)
	1449	ENDDO
	1450	ENDDO
	1451	ENDDO
	1452	ELSEIF ( intermediate_timestep_count < &
	1453	intermediate_timestep_count_max ) THEN
	1454	DO i = nxlu, nxr
	1455	DO j = nys, nyn
[2232]	1456	DO k = nzb+1, nzt
	1457	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1458	+ 5.3125_wp * tu_m(k,j,i)
[1875]	1459	ENDDO
	1460	ENDDO
	1461	ENDDO
	1462	ENDIF
	1463	ENDIF
	1464
	1465	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1466
	1467	!
	1468	!-- v-velocity component
	1469	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1470
	1471	tend = 0.0_wp
	1472	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1473	IF ( ws_scheme_mom ) THEN
	1474	CALL advec_v_ws
[2155]	1475	ELSE
[1875]	1476	CALL advec_v_pw
	1477	END IF
	1478	ELSE
	1479	CALL advec_v_up
	1480	ENDIF
	1481	CALL diffusion_v
	1482	CALL coriolis( 2 )
	1483
	1484	!
	1485	!-- Drag by plant canopy
	1486	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1487
	1488	!
	1489	!-- External pressure gradient
	1490	IF ( dp_external ) THEN
	1491	DO i = nxl, nxr
	1492	DO j = nysv, nyn
	1493	DO k = dp_level_ind_b+1, nzt
	1494	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1495	ENDDO
	1496	ENDDO
	1497	ENDDO
	1498	ENDIF
	1499
	1500	!
	1501	!-- Nudging
	1502	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1503
[1914]	1504	!
	1505	!-- Forces by wind turbines
	1506	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1507
[1875]	1508	CALL user_actions( 'v-tendency' )
	1509
	1510	!
	1511	!-- Prognostic equation for v-velocity component
	1512	DO i = nxl, nxr
	1513	DO j = nysv, nyn
[2232]	1514	DO k = nzb+1, nzt
	1515	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1516	tsc(3) * tv_m(k,j,i) ) &
	1517	- tsc(5) * rdf(k) * &
	1518	( v(k,j,i) - v_init(k) ) &
	1519	) * MERGE( 1.0_wp, 0.0_wp, &
	1520	BTEST( wall_flags_0(k,j,i), 2 )&
	1521	)
[1875]	1522	ENDDO
	1523	ENDDO
	1524	ENDDO
	1525
	1526	!
	1527	!-- Calculate tendencies for the next Runge-Kutta step
	1528	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1529	IF ( intermediate_timestep_count == 1 ) THEN
	1530	DO i = nxl, nxr
	1531	DO j = nysv, nyn
[2232]	1532	DO k = nzb+1, nzt
[1875]	1533	tv_m(k,j,i) = tend(k,j,i)
	1534	ENDDO
	1535	ENDDO
	1536	ENDDO
	1537	ELSEIF ( intermediate_timestep_count < &
	1538	intermediate_timestep_count_max ) THEN
	1539	DO i = nxl, nxr
	1540	DO j = nysv, nyn
[2232]	1541	DO k = nzb+1, nzt
	1542	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1543	+ 5.3125_wp * tv_m(k,j,i)
[1875]	1544	ENDDO
	1545	ENDDO
	1546	ENDDO
	1547	ENDIF
	1548	ENDIF
	1549
	1550	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1551
	1552	!
	1553	!-- w-velocity component
	1554	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1555
	1556	tend = 0.0_wp
	1557	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1558	IF ( ws_scheme_mom ) THEN
	1559	CALL advec_w_ws
	1560	ELSE
	1561	CALL advec_w_pw
	1562	ENDIF
	1563	ELSE
	1564	CALL advec_w_up
	1565	ENDIF
	1566	CALL diffusion_w
	1567	CALL coriolis( 3 )
	1568
	1569	IF ( .NOT. neutral ) THEN
	1570	IF ( ocean ) THEN
[2031]	1571	CALL buoyancy( rho_ocean, 3 )
[1875]	1572	ELSE
	1573	IF ( .NOT. humidity ) THEN
	1574	CALL buoyancy( pt, 3 )
	1575	ELSE
	1576	CALL buoyancy( vpt, 3 )
	1577	ENDIF
	1578	ENDIF
	1579	ENDIF
	1580
	1581	!
	1582	!-- Drag by plant canopy
	1583	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1584
[1914]	1585	!
	1586	!-- Forces by wind turbines
	1587	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1588
[1875]	1589	CALL user_actions( 'w-tendency' )
	1590
	1591	!
	1592	!-- Prognostic equation for w-velocity component
	1593	DO i = nxl, nxr
	1594	DO j = nys, nyn
[2232]	1595	DO k = nzb+1, nzt-1
	1596	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1597	tsc(3) * tw_m(k,j,i) ) &
	1598	- tsc(5) * rdf(k) * w(k,j,i) &
	1599	) * MERGE( 1.0_wp, 0.0_wp, &
	1600	BTEST( wall_flags_0(k,j,i), 3 )&
	1601	)
[1875]	1602	ENDDO
	1603	ENDDO
	1604	ENDDO
	1605
	1606	!
	1607	!-- Calculate tendencies for the next Runge-Kutta step
	1608	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1609	IF ( intermediate_timestep_count == 1 ) THEN
	1610	DO i = nxl, nxr
	1611	DO j = nys, nyn
[2232]	1612	DO k = nzb+1, nzt-1
[1875]	1613	tw_m(k,j,i) = tend(k,j,i)
	1614	ENDDO
	1615	ENDDO
	1616	ENDDO
	1617	ELSEIF ( intermediate_timestep_count < &
	1618	intermediate_timestep_count_max ) THEN
	1619	DO i = nxl, nxr
	1620	DO j = nys, nyn
[2232]	1621	DO k = nzb+1, nzt-1
	1622	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1623	+ 5.3125_wp * tw_m(k,j,i)
[1875]	1624	ENDDO
	1625	ENDDO
	1626	ENDDO
	1627	ENDIF
	1628	ENDIF
	1629
	1630	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1631
	1632
	1633	!
	1634	!-- If required, compute prognostic equation for potential temperature
	1635	IF ( .NOT. neutral ) THEN
	1636
	1637	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1638
	1639	!
	1640	!-- pt-tendency terms with communication
	1641	sbt = tsc(2)
	1642	IF ( scalar_advec == 'bc-scheme' ) THEN
	1643
	1644	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1645	!
	1646	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1647	sbt = 1.0_wp
	1648	ENDIF
	1649	tend = 0.0_wp
	1650	CALL advec_s_bc( pt, 'pt' )
	1651
	1652	ENDIF
	1653
	1654	!
	1655	!-- pt-tendency terms with no communication
	1656	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1657	tend = 0.0_wp
	1658	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1659	IF ( ws_scheme_sca ) THEN
	1660	CALL advec_s_ws( pt, 'pt' )
	1661	ELSE
	1662	CALL advec_s_pw( pt )
	1663	ENDIF
	1664	ELSE
	1665	CALL advec_s_up( pt )
	1666	ENDIF
	1667	ENDIF
	1668
[2232]	1669	CALL diffusion_s( pt, &
	1670	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	1671	surf_def_h(2)%shf, &
	1672	surf_lsm_h%shf, surf_usm_h%shf, &
	1673	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	1674	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	1675	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	1676	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	1677	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	1678	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	1679	!
	1680	!-- If required compute heating/cooling due to long wave radiation processes
	1681	IF ( cloud_top_radiation ) THEN
	1682	CALL calc_radiation
	1683	ENDIF
	1684
	1685	!
	1686	!-- Consideration of heat sources within the plant canopy
[3014]	1687	IF ( plant_canopy .AND. &
	1688	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
[1875]	1689	CALL pcm_tendency( 4 )
	1690	ENDIF
	1691
	1692	!
	1693	!-- Large scale advection
	1694	IF ( large_scale_forcing ) THEN
	1695	CALL ls_advec( simulated_time, 'pt' )
	1696	ENDIF
	1697
	1698	!
	1699	!-- Nudging
[2155]	1700	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1701
	1702	!
	1703	!-- If required compute influence of large-scale subsidence/ascent
	1704	IF ( large_scale_subsidence .AND. &
	1705	.NOT. use_subsidence_tendencies ) THEN
	1706	CALL subsidence( tend, pt, pt_init, 2 )
	1707	ENDIF
	1708
	1709	!
	1710	!-- If required, add tendency due to radiative heating/cooling
[1976]	1711	IF ( radiation .AND. &
[1875]	1712	simulated_time > skip_time_do_radiation ) THEN
	1713	CALL radiation_tendency ( tend )
	1714	ENDIF
	1715
	1716	CALL user_actions( 'pt-tendency' )
	1717
	1718	!
	1719	!-- Prognostic equation for potential temperature
	1720	DO i = nxl, nxr
	1721	DO j = nys, nyn
[2232]	1722	DO k = nzb+1, nzt
	1723	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1724	tsc(3) * tpt_m(k,j,i) ) &
	1725	- tsc(5) * &
	1726	( pt(k,j,i) - pt_init(k) ) *&
	1727	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
	1728	) &
	1729	* MERGE( 1.0_wp, 0.0_wp, &
	1730	BTEST( wall_flags_0(k,j,i), 0 ) &
	1731	)
[1875]	1732	ENDDO
	1733	ENDDO
	1734	ENDDO
	1735	!
	1736	!-- Calculate tendencies for the next Runge-Kutta step
	1737	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1738	IF ( intermediate_timestep_count == 1 ) THEN
	1739	DO i = nxl, nxr
	1740	DO j = nys, nyn
[2232]	1741	DO k = nzb+1, nzt
[1875]	1742	tpt_m(k,j,i) = tend(k,j,i)
	1743	ENDDO
	1744	ENDDO
	1745	ENDDO
	1746	ELSEIF ( intermediate_timestep_count < &
	1747	intermediate_timestep_count_max ) THEN
	1748	DO i = nxl, nxr
	1749	DO j = nys, nyn
[2232]	1750	DO k = nzb+1, nzt
	1751	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1752	5.3125_wp * tpt_m(k,j,i)
[1875]	1753	ENDDO
	1754	ENDDO
	1755	ENDDO
	1756	ENDIF
	1757	ENDIF
	1758
	1759	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1760
	1761	ENDIF
	1762
	1763	!
	1764	!-- If required, compute prognostic equation for salinity
	1765	IF ( ocean ) THEN
	1766
	1767	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1768
	1769	!
	1770	!-- sa-tendency terms with communication
	1771	sbt = tsc(2)
	1772	IF ( scalar_advec == 'bc-scheme' ) THEN
	1773
	1774	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1775	!
	1776	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1777	sbt = 1.0_wp
	1778	ENDIF
	1779	tend = 0.0_wp
	1780	CALL advec_s_bc( sa, 'sa' )
	1781
	1782	ENDIF
	1783
	1784	!
	1785	!-- sa-tendency terms with no communication
	1786	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1787	tend = 0.0_wp
	1788	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1789	IF ( ws_scheme_sca ) THEN
	1790	CALL advec_s_ws( sa, 'sa' )
	1791	ELSE
	1792	CALL advec_s_pw( sa )
	1793	ENDIF
	1794	ELSE
	1795	CALL advec_s_up( sa )
	1796	ENDIF
	1797	ENDIF
	1798
[2232]	1799	CALL diffusion_s( sa, &
	1800	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	1801	surf_def_h(2)%sasws, &
	1802	surf_lsm_h%sasws, surf_usm_h%sasws, &
	1803	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	1804	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	1805	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	1806	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	1807	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	1808	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[2155]	1809
[1875]	1810	CALL user_actions( 'sa-tendency' )
	1811
	1812	!
	1813	!-- Prognostic equation for salinity
	1814	DO i = nxl, nxr
	1815	DO j = nys, nyn
[2232]	1816	DO k = nzb+1, nzt
	1817	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1818	tsc(3) * tsa_m(k,j,i) ) &
	1819	- tsc(5) * rdf_sc(k) * &
	1820	( sa(k,j,i) - sa_init(k) ) &
	1821	) &
	1822	* MERGE( 1.0_wp, 0.0_wp, &
	1823	BTEST( wall_flags_0(k,j,i), 0 ) &
	1824	)
[1875]	1825	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1826	ENDDO
	1827	ENDDO
	1828	ENDDO
	1829
	1830	!
	1831	!-- Calculate tendencies for the next Runge-Kutta step
	1832	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1833	IF ( intermediate_timestep_count == 1 ) THEN
	1834	DO i = nxl, nxr
	1835	DO j = nys, nyn
[2232]	1836	DO k = nzb+1, nzt
[1875]	1837	tsa_m(k,j,i) = tend(k,j,i)
	1838	ENDDO
	1839	ENDDO
	1840	ENDDO
	1841	ELSEIF ( intermediate_timestep_count < &
	1842	intermediate_timestep_count_max ) THEN
	1843	DO i = nxl, nxr
	1844	DO j = nys, nyn
[2232]	1845	DO k = nzb+1, nzt
	1846	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1847	5.3125_wp * tsa_m(k,j,i)
[1875]	1848	ENDDO
	1849	ENDDO
	1850	ENDDO
	1851	ENDIF
	1852	ENDIF
	1853
	1854	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1855
	1856	!
	1857	!-- Calculate density by the equation of state for seawater
	1858	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1859	CALL eqn_state_seawater
	1860	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1861
	1862	ENDIF
	1863
	1864	!
[1960]	1865	!-- If required, compute prognostic equation for total water content
	1866	IF ( humidity ) THEN
[1875]	1867
[1960]	1868	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1869
	1870	!
	1871	!-- Scalar/q-tendency terms with communication
	1872	sbt = tsc(2)
	1873	IF ( scalar_advec == 'bc-scheme' ) THEN
	1874
	1875	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1876	!
	1877	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1878	sbt = 1.0_wp
	1879	ENDIF
	1880	tend = 0.0_wp
	1881	CALL advec_s_bc( q, 'q' )
	1882
	1883	ENDIF
	1884
	1885	!
	1886	!-- Scalar/q-tendency terms with no communication
	1887	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1888	tend = 0.0_wp
	1889	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1890	IF ( ws_scheme_sca ) THEN
	1891	CALL advec_s_ws( q, 'q' )
	1892	ELSE
	1893	CALL advec_s_pw( q )
	1894	ENDIF
	1895	ELSE
	1896	CALL advec_s_up( q )
	1897	ENDIF
	1898	ENDIF
	1899
[2232]	1900	CALL diffusion_s( q, &
	1901	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	1902	surf_def_h(2)%qsws, &
	1903	surf_lsm_h%qsws, surf_usm_h%qsws, &
	1904	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	1905	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	1906	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	1907	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	1908	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	1909	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[2155]	1910
[1875]	1911	!
[1960]	1912	!-- Sink or source of humidity due to canopy elements
[1875]	1913	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1914
	1915	!
	1916	!-- Large scale advection
	1917	IF ( large_scale_forcing ) THEN
	1918	CALL ls_advec( simulated_time, 'q' )
	1919	ENDIF
	1920
	1921	!
	1922	!-- Nudging
[2155]	1923	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1924
	1925	!
	1926	!-- If required compute influence of large-scale subsidence/ascent
	1927	IF ( large_scale_subsidence .AND. &
	1928	.NOT. use_subsidence_tendencies ) THEN
	1929	CALL subsidence( tend, q, q_init, 3 )
	1930	ENDIF
	1931
	1932	CALL user_actions( 'q-tendency' )
	1933
	1934	!
[1960]	1935	!-- Prognostic equation for total water content
[1875]	1936	DO i = nxl, nxr
	1937	DO j = nys, nyn
[2232]	1938	DO k = nzb+1, nzt
	1939	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1940	tsc(3) * tq_m(k,j,i) ) &
	1941	- tsc(5) * rdf_sc(k) * &
	1942	( q(k,j,i) - q_init(k) ) &
	1943	) * MERGE( 1.0_wp, 0.0_wp, &
	1944	BTEST( wall_flags_0(k,j,i), 0 ) &
	1945	)
[1875]	1946	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1947	ENDDO
	1948	ENDDO
	1949	ENDDO
	1950
	1951	!
	1952	!-- Calculate tendencies for the next Runge-Kutta step
	1953	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1954	IF ( intermediate_timestep_count == 1 ) THEN
	1955	DO i = nxl, nxr
	1956	DO j = nys, nyn
[2232]	1957	DO k = nzb+1, nzt
[1875]	1958	tq_m(k,j,i) = tend(k,j,i)
	1959	ENDDO
	1960	ENDDO
	1961	ENDDO
	1962	ELSEIF ( intermediate_timestep_count < &
	1963	intermediate_timestep_count_max ) THEN
	1964	DO i = nxl, nxr
	1965	DO j = nys, nyn
[2232]	1966	DO k = nzb+1, nzt
	1967	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1968	+ 5.3125_wp * tq_m(k,j,i)
[1875]	1969	ENDDO
	1970	ENDDO
	1971	ENDDO
	1972	ENDIF
	1973	ENDIF
	1974
[1960]	1975	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1976
	1977	!
[2292]	1978	!-- If required, calculate prognostic equations for cloud water content
	1979	!-- and cloud drop concentration
	1980	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	1981
	1982	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
	1983
	1984	!
	1985	!-- Calculate prognostic equation for cloud water content
	1986	sbt = tsc(2)
	1987	IF ( scalar_advec == 'bc-scheme' ) THEN
	1988
	1989	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1990	!
	1991	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1992	sbt = 1.0_wp
	1993	ENDIF
	1994	tend = 0.0_wp
	1995	CALL advec_s_bc( qc, 'qc' )
	1996
	1997	ENDIF
	1998
	1999	!
	2000	!-- qc-tendency terms with no communication
	2001	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2002	tend = 0.0_wp
	2003	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2004	IF ( ws_scheme_sca ) THEN
	2005	CALL advec_s_ws( qc, 'qc' )
	2006	ELSE
	2007	CALL advec_s_pw( qc )
	2008	ENDIF
	2009	ELSE
	2010	CALL advec_s_up( qc )
	2011	ENDIF
	2012	ENDIF
	2013
	2014	CALL diffusion_s( qc, &
	2015	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	2016	surf_def_h(2)%qcsws, &
	2017	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	2018	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	2019	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	2020	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	2021	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	2022	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	2023	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	2024
	2025	!
	2026	!-- Prognostic equation for cloud water content
	2027	DO i = nxl, nxr
	2028	DO j = nys, nyn
	2029	DO k = nzb+1, nzt
	2030	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2031	tsc(3) * tqc_m(k,j,i) ) &
	2032	- tsc(5) * rdf_sc(k) * &
	2033	qc(k,j,i) &
	2034	) &
	2035	* MERGE( 1.0_wp, 0.0_wp, &
	2036	BTEST( wall_flags_0(k,j,i), 0 ) &
	2037	)
	2038	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	2039	ENDDO
	2040	ENDDO
	2041	ENDDO
	2042
	2043	!
	2044	!-- Calculate tendencies for the next Runge-Kutta step
	2045	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2046	IF ( intermediate_timestep_count == 1 ) THEN
	2047	DO i = nxl, nxr
	2048	DO j = nys, nyn
	2049	DO k = nzb+1, nzt
	2050	tqc_m(k,j,i) = tend(k,j,i)
	2051	ENDDO
	2052	ENDDO
	2053	ENDDO
	2054	ELSEIF ( intermediate_timestep_count < &
	2055	intermediate_timestep_count_max ) THEN
	2056	DO i = nxl, nxr
	2057	DO j = nys, nyn
	2058	DO k = nzb+1, nzt
	2059	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2060	+ 5.3125_wp * tqc_m(k,j,i)
	2061	ENDDO
	2062	ENDDO
	2063	ENDDO
	2064	ENDIF
	2065	ENDIF
	2066
	2067	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
	2068	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
	2069
	2070	!
	2071	!-- Calculate prognostic equation for cloud drop concentration
	2072	sbt = tsc(2)
	2073	IF ( scalar_advec == 'bc-scheme' ) THEN
	2074
	2075	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2076	!
	2077	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2078	sbt = 1.0_wp
	2079	ENDIF
	2080	tend = 0.0_wp
	2081	CALL advec_s_bc( nc, 'nc' )
	2082
	2083	ENDIF
	2084
	2085	!
	2086	!-- nc-tendency terms with no communication
	2087	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2088	tend = 0.0_wp
	2089	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2090	IF ( ws_scheme_sca ) THEN
	2091	CALL advec_s_ws( nc, 'nc' )
	2092	ELSE
	2093	CALL advec_s_pw( nc )
	2094	ENDIF
	2095	ELSE
	2096	CALL advec_s_up( nc )
	2097	ENDIF
	2098	ENDIF
	2099
	2100	CALL diffusion_s( nc, &
	2101	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	2102	surf_def_h(2)%ncsws, &
	2103	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	2104	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	2105	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	2106	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	2107	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	2108	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	2109	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	2110
	2111	!
	2112	!-- Prognostic equation for cloud drop concentration
	2113	DO i = nxl, nxr
	2114	DO j = nys, nyn
	2115	DO k = nzb+1, nzt
	2116	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2117	tsc(3) * tnc_m(k,j,i) ) &
	2118	- tsc(5) * rdf_sc(k) * &
	2119	nc(k,j,i) &
	2120	) &
	2121	* MERGE( 1.0_wp, 0.0_wp, &
	2122	BTEST( wall_flags_0(k,j,i), 0 ) &
	2123	)
	2124	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	2125	ENDDO
	2126	ENDDO
	2127	ENDDO
	2128
	2129	!
	2130	!-- Calculate tendencies for the next Runge-Kutta step
	2131	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2132	IF ( intermediate_timestep_count == 1 ) THEN
	2133	DO i = nxl, nxr
	2134	DO j = nys, nyn
	2135	DO k = nzb+1, nzt
	2136	tnc_m(k,j,i) = tend(k,j,i)
	2137	ENDDO
	2138	ENDDO
	2139	ENDDO
	2140	ELSEIF ( intermediate_timestep_count < &
	2141	intermediate_timestep_count_max ) THEN
	2142	DO i = nxl, nxr
	2143	DO j = nys, nyn
	2144	DO k = nzb+1, nzt
	2145	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2146	+ 5.3125_wp * tnc_m(k,j,i)
	2147	ENDDO
	2148	ENDDO
	2149	ENDDO
	2150	ENDIF
	2151	ENDIF
	2152
	2153	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
	2154
	2155	ENDIF
	2156	!
[2155]	2157	!-- If required, calculate prognostic equations for rain water content
[1875]	2158	!-- and rain drop concentration
	2159	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2160
	2161	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2162
	2163	!
	2164	!-- Calculate prognostic equation for rain water content
	2165	sbt = tsc(2)
	2166	IF ( scalar_advec == 'bc-scheme' ) THEN
	2167
	2168	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2169	!
	2170	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2171	sbt = 1.0_wp
	2172	ENDIF
	2173	tend = 0.0_wp
	2174	CALL advec_s_bc( qr, 'qr' )
	2175
	2176	ENDIF
	2177
	2178	!
	2179	!-- qr-tendency terms with no communication
	2180	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2181	tend = 0.0_wp
	2182	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2183	IF ( ws_scheme_sca ) THEN
	2184	CALL advec_s_ws( qr, 'qr' )
	2185	ELSE
	2186	CALL advec_s_pw( qr )
	2187	ENDIF
	2188	ELSE
	2189	CALL advec_s_up( qr )
	2190	ENDIF
	2191	ENDIF
	2192
[2232]	2193	CALL diffusion_s( qr, &
	2194	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	2195	surf_def_h(2)%qrsws, &
	2196	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	2197	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	2198	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	2199	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	2200	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	2201	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	2202	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	2203
	2204	!
	2205	!-- Prognostic equation for rain water content
	2206	DO i = nxl, nxr
	2207	DO j = nys, nyn
[2232]	2208	DO k = nzb+1, nzt
	2209	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2210	tsc(3) * tqr_m(k,j,i) ) &
	2211	- tsc(5) * rdf_sc(k) * &
	2212	qr(k,j,i) &
	2213	) &
	2214	* MERGE( 1.0_wp, 0.0_wp, &
	2215	BTEST( wall_flags_0(k,j,i), 0 ) &
	2216	)
[1875]	2217	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2218	ENDDO
	2219	ENDDO
	2220	ENDDO
	2221
	2222	!
	2223	!-- Calculate tendencies for the next Runge-Kutta step
	2224	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2225	IF ( intermediate_timestep_count == 1 ) THEN
	2226	DO i = nxl, nxr
	2227	DO j = nys, nyn
[2232]	2228	DO k = nzb+1, nzt
[1875]	2229	tqr_m(k,j,i) = tend(k,j,i)
	2230	ENDDO
	2231	ENDDO
	2232	ENDDO
	2233	ELSEIF ( intermediate_timestep_count < &
	2234	intermediate_timestep_count_max ) THEN
	2235	DO i = nxl, nxr
	2236	DO j = nys, nyn
[2232]	2237	DO k = nzb+1, nzt
	2238	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2239	+ 5.3125_wp * tqr_m(k,j,i)
[1875]	2240	ENDDO
	2241	ENDDO
	2242	ENDDO
	2243	ENDIF
	2244	ENDIF
	2245
	2246	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2247	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2248
	2249	!
	2250	!-- Calculate prognostic equation for rain drop concentration
	2251	sbt = tsc(2)
	2252	IF ( scalar_advec == 'bc-scheme' ) THEN
	2253
	2254	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2255	!
	2256	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2257	sbt = 1.0_wp
	2258	ENDIF
	2259	tend = 0.0_wp
	2260	CALL advec_s_bc( nr, 'nr' )
	2261
	2262	ENDIF
	2263
	2264	!
	2265	!-- nr-tendency terms with no communication
	2266	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2267	tend = 0.0_wp
	2268	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2269	IF ( ws_scheme_sca ) THEN
	2270	CALL advec_s_ws( nr, 'nr' )
	2271	ELSE
	2272	CALL advec_s_pw( nr )
	2273	ENDIF
	2274	ELSE
	2275	CALL advec_s_up( nr )
	2276	ENDIF
	2277	ENDIF
	2278
[2232]	2279	CALL diffusion_s( nr, &
	2280	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	2281	surf_def_h(2)%nrsws, &
	2282	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	2283	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	2284	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	2285	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	2286	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	2287	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	2288	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	2289
	2290	!
	2291	!-- Prognostic equation for rain drop concentration
	2292	DO i = nxl, nxr
	2293	DO j = nys, nyn
[2232]	2294	DO k = nzb+1, nzt
	2295	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2296	tsc(3) * tnr_m(k,j,i) ) &
	2297	- tsc(5) * rdf_sc(k) * &
	2298	nr(k,j,i) &
	2299	) &
	2300	* MERGE( 1.0_wp, 0.0_wp, &
	2301	BTEST( wall_flags_0(k,j,i), 0 ) &
	2302	)
[1875]	2303	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2304	ENDDO
	2305	ENDDO
	2306	ENDDO
	2307
	2308	!
	2309	!-- Calculate tendencies for the next Runge-Kutta step
	2310	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2311	IF ( intermediate_timestep_count == 1 ) THEN
	2312	DO i = nxl, nxr
	2313	DO j = nys, nyn
[2232]	2314	DO k = nzb+1, nzt
[1875]	2315	tnr_m(k,j,i) = tend(k,j,i)
	2316	ENDDO
	2317	ENDDO
	2318	ENDDO
	2319	ELSEIF ( intermediate_timestep_count < &
	2320	intermediate_timestep_count_max ) THEN
	2321	DO i = nxl, nxr
	2322	DO j = nys, nyn
[2232]	2323	DO k = nzb+1, nzt
	2324	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2325	+ 5.3125_wp * tnr_m(k,j,i)
[1875]	2326	ENDDO
	2327	ENDDO
	2328	ENDDO
	2329	ENDIF
	2330	ENDIF
	2331
	2332	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2333
	2334	ENDIF
	2335
	2336	ENDIF
[1960]	2337	!
	2338	!-- If required, compute prognostic equation for scalar
	2339	IF ( passive_scalar ) THEN
[1875]	2340
[1960]	2341	CALL cpu_log( log_point(66), 's-equation', 'start' )
	2342
[1875]	2343	!
[1960]	2344	!-- Scalar/q-tendency terms with communication
	2345	sbt = tsc(2)
	2346	IF ( scalar_advec == 'bc-scheme' ) THEN
	2347
	2348	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2349	!
	2350	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2351	sbt = 1.0_wp
	2352	ENDIF
	2353	tend = 0.0_wp
	2354	CALL advec_s_bc( s, 's' )
	2355
	2356	ENDIF
	2357
	2358	!
	2359	!-- Scalar/q-tendency terms with no communication
	2360	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2361	tend = 0.0_wp
	2362	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2363	IF ( ws_scheme_sca ) THEN
	2364	CALL advec_s_ws( s, 's' )
	2365	ELSE
	2366	CALL advec_s_pw( s )
	2367	ENDIF
	2368	ELSE
	2369	CALL advec_s_up( s )
	2370	ENDIF
	2371	ENDIF
	2372
[2232]	2373	CALL diffusion_s( s, &
	2374	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	2375	surf_def_h(2)%ssws, &
	2376	surf_lsm_h%ssws, surf_usm_h%ssws, &
	2377	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	2378	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	2379	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	2380	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	2381	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	2382	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[2155]	2383
[1960]	2384	!
	2385	!-- Sink or source of humidity due to canopy elements
	2386	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	2387
	2388	!
	2389	!-- Large scale advection. Not implemented for scalars so far.
	2390	! IF ( large_scale_forcing ) THEN
	2391	! CALL ls_advec( simulated_time, 'q' )
	2392	! ENDIF
	2393
	2394	!
	2395	!-- Nudging. Not implemented for scalars so far.
[2155]	2396	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	2397
	2398	!
	2399	!-- If required compute influence of large-scale subsidence/ascent.
	2400	!-- Not implemented for scalars so far.
	2401	IF ( large_scale_subsidence .AND. &
	2402	.NOT. use_subsidence_tendencies .AND. &
	2403	.NOT. large_scale_forcing ) THEN
	2404	CALL subsidence( tend, s, s_init, 3 )
	2405	ENDIF
	2406
	2407	CALL user_actions( 's-tendency' )
	2408
	2409	!
	2410	!-- Prognostic equation for total water content
	2411	DO i = nxl, nxr
	2412	DO j = nys, nyn
[2232]	2413	DO k = nzb+1, nzt
	2414	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2415	tsc(3) * ts_m(k,j,i) ) &
	2416	- tsc(5) * rdf_sc(k) * &
	2417	( s(k,j,i) - s_init(k) ) &
	2418	) &
	2419	* MERGE( 1.0_wp, 0.0_wp, &
	2420	BTEST( wall_flags_0(k,j,i), 0 ) &
	2421	)
[1960]	2422	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	2423	ENDDO
	2424	ENDDO
	2425	ENDDO
	2426
	2427	!
	2428	!-- Calculate tendencies for the next Runge-Kutta step
	2429	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2430	IF ( intermediate_timestep_count == 1 ) THEN
	2431	DO i = nxl, nxr
	2432	DO j = nys, nyn
[2232]	2433	DO k = nzb+1, nzt
[1960]	2434	ts_m(k,j,i) = tend(k,j,i)
	2435	ENDDO
	2436	ENDDO
	2437	ENDDO
	2438	ELSEIF ( intermediate_timestep_count < &
	2439	intermediate_timestep_count_max ) THEN
	2440	DO i = nxl, nxr
	2441	DO j = nys, nyn
[2232]	2442	DO k = nzb+1, nzt
	2443	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2444	+ 5.3125_wp * ts_m(k,j,i)
[1960]	2445	ENDDO
	2446	ENDDO
	2447	ENDDO
	2448	ENDIF
	2449	ENDIF
	2450
	2451	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	2452
	2453	ENDIF
[1875]	2454
[2696]	2455	CALL tcm_prognostic()
[1875]	2456
[2815]	2457	!
	2458	!-- If required, compute prognostic equation for chemical quantites
	2459	IF ( air_chemistry ) THEN
	2460	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'start' )
	2461	!
	2462	!-- Loop over chemical species
	2463	DO lsp = 1, nvar
	2464	CALL chem_prognostic_equations ( chem_species(lsp)%conc_p, &
	2465	chem_species(lsp)%conc, &
	2466	chem_species(lsp)%tconc_m, &
	2467	chem_species(lsp)%conc_pr_init, &
	2468	lsp )
	2469	ENDDO
[1875]	2470
[2815]	2471	CALL cpu_log( log_point(83), '(chem advec+diff+prog)', 'stop' )
	2472	ENDIF ! Chemicals equations
	2473
	2474
[1875]	2475	END SUBROUTINE prognostic_equations_vector
	2476
	2477
	2478	END MODULE prognostic_equations_mod

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