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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2566

Last change on this file since 2566 was 2563, checked in by Giersch, 7 years ago
Restart runs with the usage of the wind turbine model are possible now. Further small at reading/writing restart data
Property svn:keywords set to `Id`
File size: 95.7 KB

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[1873]	1	!> @file prognostic_equations.f90
[2000]	2	!------------------------------------------------------------------------------!
[1875]	3	! This file is part of PALM.
	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	!
[2101]	17	! Copyright 1997-2017 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 2563 2017-10-19 15:36:10Z raasch $
[2563]	27	! Variable wind_turbine moved to module control_parameters
	28	!
	29	! 2320 2017-07-21 12:47:43Z suehring
[2320]	30	! Modularize large-scale forcing and nudging
	31	!
	32	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	33	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	34	! includes two more prognostic equations for cloud drop concentration (nc)
	35	! and cloud water content (qc).
	36	!
	37	! 2261 2017-06-08 14:25:57Z raasch
[2261]	38	! bugfix for r2232: openmp directives removed
	39	!
	40	! 2233 2017-05-30 18:08:54Z suehring
[1875]	41	!
[2233]	42	! 2232 2017-05-30 17:47:52Z suehring
	43	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
	44	! which is realized directly in diffusion_s now.
	45	!
[2193]	46	! 2192 2017-03-22 04:14:10Z raasch
	47	! Bugfix for misplaced and missing openMP directives from r2155
	48	!
[2156]	49	! 2155 2017-02-21 09:57:40Z hoffmann
	50	! Bugfix in the calculation of microphysical quantities on ghost points.
	51	!
[2119]	52	! 2118 2017-01-17 16:38:49Z raasch
	53	! OpenACC version of subroutine removed
[2155]	54	!
[2032]	55	! 2031 2016-10-21 15:11:58Z knoop
	56	! renamed variable rho to rho_ocean
[2155]	57	!
[2012]	58	! 2011 2016-09-19 17:29:57Z kanani
	59	! Flag urban_surface is now defined in module control_parameters.
[2155]	60	!
[2008]	61	! 2007 2016-08-24 15:47:17Z kanani
	62	! Added pt tendency calculation based on energy balance at urban surfaces
	63	! (new urban surface model)
[2155]	64	!
[2001]	65	! 2000 2016-08-20 18:09:15Z knoop
	66	! Forced header and separation lines into 80 columns
[2155]	67	!
[1977]	68	! 1976 2016-07-27 13:28:04Z maronga
	69	! Simplied calls to radiation model
[2155]	70	!
[1961]	71	! 1960 2016-07-12 16:34:24Z suehring
	72	! Separate humidity and passive scalar
[2155]	73	!
[1917]	74	! 1914 2016-05-26 14:44:07Z witha
	75	! Added calls for wind turbine model
	76	!
[1874]	77	! 1873 2016-04-18 14:50:06Z maronga
	78	! Module renamed (removed _mod)
[2155]	79	!
[1851]	80	! 1850 2016-04-08 13:29:27Z maronga
	81	! Module renamed
[2155]	82	!
[1827]	83	! 1826 2016-04-07 12:01:39Z maronga
[1875]	84	! Renamed canopy model calls.
[2155]	85	!
[1875]	86	! 1822 2016-04-07 07:49:42Z hoffmann
	87	! Kessler microphysics scheme moved to microphysics.
	88	!
	89	! 1757 2016-02-22 15:49:32Z maronga
[2155]	90	!
[1875]	91	! 1691 2015-10-26 16:17:44Z maronga
	92	! Added optional model spin-up without radiation / land surface model calls.
	93	! Formatting corrections.
[2155]	94	!
[1875]	95	! 1682 2015-10-07 23:56:08Z knoop
[2155]	96	! Code annotations made doxygen readable
	97	!
[1875]	98	! 1585 2015-04-30 07:05:52Z maronga
	99	! Added call for temperature tendency calculation due to radiative flux divergence
[2155]	100	!
[1875]	101	! 1517 2015-01-07 19:12:25Z hoffmann
	102	! advec_s_bc_mod addded, since advec_s_bc is now a module
	103	!
	104	! 1496 2014-12-02 17:25:50Z maronga
	105	! Renamed "radiation" -> "cloud_top_radiation"
[2155]	106	!
[1875]	107	! 1484 2014-10-21 10:53:05Z kanani
	108	! Changes due to new module structure of the plant canopy model:
	109	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	110	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	111	! control_parameters
[2155]	112	!
[1875]	113	! 1409 2014-05-23 12:11:32Z suehring
[2155]	114	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
[1875]	115	! This ensures that left-hand side fluxes are also calculated for nxl in that
[2155]	116	! case, even though the solution at nxl is overwritten in boundary_conds()
	117	!
[1875]	118	! 1398 2014-05-07 11:15:00Z heinze
	119	! Rayleigh-damping for horizontal velocity components changed: instead of damping
[2155]	120	! against ug and vg, damping against u_init and v_init is used to allow for a
[1875]	121	! homogenized treatment in case of nudging
[2155]	122	!
[1875]	123	! 1380 2014-04-28 12:40:45Z heinze
[2155]	124	! Change order of calls for scalar prognostic quantities:
	125	! ls_advec -> nudging -> subsidence since initial profiles
	126	!
[1875]	127	! 1374 2014-04-25 12:55:07Z raasch
	128	! missing variables added to ONLY lists
[2155]	129	!
[1875]	130	! 1365 2014-04-22 15:03:56Z boeske
[2155]	131	! Calls of ls_advec for large scale advection added,
[1875]	132	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	133	! new argument ls_index added to the calls of subsidence
	134	! +ls_index
[2155]	135	!
[1875]	136	! 1361 2014-04-16 15:17:48Z hoffmann
	137	! Two-moment microphysics moved to the start of prognostic equations. This makes
	138	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	139	! Additionally, it is allowed to call the microphysics just once during the time
	140	! step (not at each sub-time step).
	141	!
	142	! Two-moment cloud physics added for vector and accelerator optimization.
[2155]	143	!
[1875]	144	! 1353 2014-04-08 15:21:23Z heinze
	145	! REAL constants provided with KIND-attribute
[2155]	146	!
[1875]	147	! 1337 2014-03-25 15:11:48Z heinze
	148	! Bugfix: REAL constants provided with KIND-attribute
[2155]	149	!
[1875]	150	! 1332 2014-03-25 11:59:43Z suehring
[2155]	151	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	152	!
[1875]	153	! 1330 2014-03-24 17:29:32Z suehring
[2155]	154	! In case of SGS-particle velocity advection of TKE is also allowed with
[1875]	155	! dissipative 5th-order scheme.
	156	!
	157	! 1320 2014-03-20 08:40:49Z raasch
	158	! ONLY-attribute added to USE-statements,
	159	! kind-parameters added to all INTEGER and REAL declaration statements,
	160	! kinds are defined in new module kinds,
	161	! old module precision_kind is removed,
	162	! revision history before 2012 removed,
	163	! comment fields (!:) to be used for variable explanations added to
	164	! all variable declaration statements
	165	!
	166	! 1318 2014-03-17 13:35:16Z raasch
	167	! module interfaces removed
	168	!
	169	! 1257 2013-11-08 15:18:40Z raasch
	170	! openacc loop vector clauses removed, independent clauses added
	171	!
	172	! 1246 2013-11-01 08:59:45Z heinze
	173	! enable nudging also for accelerator version
	174	!
	175	! 1241 2013-10-30 11:36:58Z heinze
	176	! usage of nudging enabled (so far not implemented for accelerator version)
	177	!
	178	! 1179 2013-06-14 05:57:58Z raasch
	179	! two arguments removed from routine buoyancy, ref_state updated on device
	180	!
	181	! 1128 2013-04-12 06:19:32Z raasch
	182	! those parts requiring global communication moved to time_integration,
	183	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	184	! j_north
	185	!
	186	! 1115 2013-03-26 18:16:16Z hoffmann
[2155]	187	! optimized cloud physics: calculation of microphysical tendencies transfered
[1875]	188	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	189	!
	190	! 1111 2013-03-08 23:54:10Z raasch
	191	! update directives for prognostic quantities removed
	192	!
	193	! 1106 2013-03-04 05:31:38Z raasch
	194	! small changes in code formatting
	195	!
	196	! 1092 2013-02-02 11:24:22Z raasch
	197	! unused variables removed
	198	!
	199	! 1053 2012-11-13 17:11:03Z hoffmann
	200	! implementation of two new prognostic equations for rain drop concentration (nr)
	201	! and rain water content (qr)
	202	!
	203	! currently, only available for cache loop optimization
	204	!
	205	! 1036 2012-10-22 13:43:42Z raasch
	206	! code put under GPL (PALM 3.9)
	207	!
	208	! 1019 2012-09-28 06:46:45Z raasch
	209	! non-optimized version of prognostic_equations removed
	210	!
	211	! 1015 2012-09-27 09:23:24Z raasch
	212	! new branch prognostic_equations_acc
	213	! OpenACC statements added + code changes required for GPU optimization
	214	!
	215	! 1001 2012-09-13 14:08:46Z raasch
	216	! all actions concerning leapfrog- and upstream-spline-scheme removed
	217	!
	218	! 978 2012-08-09 08:28:32Z fricke
	219	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	220	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	221	! boundary in case of non-cyclic lateral boundaries
	222	! Bugfix: first thread index changes for WS-scheme at the inflow
	223	!
	224	! 940 2012-07-09 14:31:00Z raasch
	225	! temperature equation can be switched off
	226	!
	227	! Revision 1.1 2000/04/13 14:56:27 schroeter
	228	! Initial revision
	229	!
	230	!
	231	! Description:
	232	! ------------
	233	!> Solving the prognostic equations.
	234	!------------------------------------------------------------------------------!
	235	MODULE prognostic_equations_mod
	236
	237
[2155]	238
[1875]	239	USE arrays_3d, &
[2292]	240	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
	241	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
	242	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
	243	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
	244	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
	245	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
	246	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
	247	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
	248	ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, tend, &
	249	te_m, tnc_m, tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tsa_m, &
	250	tu_m, tv_m, tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, &
	251	w, w_p
[2155]	252
[1875]	253	USE control_parameters, &
	254	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	255	cloud_top_radiation, constant_diffusion, dp_external, &
	256	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	257	inflow_l, intermediate_timestep_count, &
	258	intermediate_timestep_count_max, large_scale_forcing, &
[2292]	259	large_scale_subsidence, microphysics_morrison, microphysics_seifert, &
[1875]	260	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	261	outflow_s, passive_scalar, prho_reference, prho_reference, &
	262	prho_reference, pt_reference, pt_reference, pt_reference, &
	263	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[2232]	264	timestep_scheme, tsc, use_subsidence_tendencies, &
[2563]	265	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
	266	ws_scheme_sca
[1875]	267
	268	USE cpulog, &
	269	ONLY: cpu_log, log_point
	270
	271	USE eqn_state_seawater_mod, &
	272	ONLY: eqn_state_seawater
	273
	274	USE indices, &
[2232]	275	ONLY: nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, nzb, &
	276	nzt, wall_flags_0
[1875]	277
	278	USE advec_ws, &
[2118]	279	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
[1875]	280
	281	USE advec_s_bc_mod, &
	282	ONLY: advec_s_bc
	283
	284	USE advec_s_pw_mod, &
	285	ONLY: advec_s_pw
	286
	287	USE advec_s_up_mod, &
	288	ONLY: advec_s_up
	289
	290	USE advec_u_pw_mod, &
	291	ONLY: advec_u_pw
	292
	293	USE advec_u_up_mod, &
	294	ONLY: advec_u_up
	295
	296	USE advec_v_pw_mod, &
	297	ONLY: advec_v_pw
	298
	299	USE advec_v_up_mod, &
	300	ONLY: advec_v_up
	301
	302	USE advec_w_pw_mod, &
	303	ONLY: advec_w_pw
	304
	305	USE advec_w_up_mod, &
	306	ONLY: advec_w_up
	307
	308	USE buoyancy_mod, &
[2118]	309	ONLY: buoyancy
[1875]	310
	311	USE calc_radiation_mod, &
	312	ONLY: calc_radiation
[2155]	313
[1875]	314	USE coriolis_mod, &
[2118]	315	ONLY: coriolis
[1875]	316
	317	USE diffusion_e_mod, &
[2118]	318	ONLY: diffusion_e
[1875]	319
	320	USE diffusion_s_mod, &
[2118]	321	ONLY: diffusion_s
[1875]	322
	323	USE diffusion_u_mod, &
[2118]	324	ONLY: diffusion_u
[1875]	325
	326	USE diffusion_v_mod, &
[2118]	327	ONLY: diffusion_v
[1875]	328
	329	USE diffusion_w_mod, &
[2118]	330	ONLY: diffusion_w
[1875]	331
	332	USE kinds
	333
[2320]	334	USE lsf_nudging_mod, &
	335	ONLY: ls_advec, nudge
[1875]	336
	337	USE microphysics_mod, &
	338	ONLY: microphysics_control
	339
	340	USE plant_canopy_model_mod, &
	341	ONLY: cthf, plant_canopy, pcm_tendency
	342
	343	USE production_e_mod, &
[2118]	344	ONLY: production_e
[1875]	345
	346	USE radiation_model_mod, &
[1976]	347	ONLY: radiation, radiation_tendency, &
[1875]	348	skip_time_do_radiation
	349
	350	USE statistics, &
	351	ONLY: hom
	352
	353	USE subsidence_mod, &
	354	ONLY: subsidence
	355
	356	USE user_actions_mod, &
	357	ONLY: user_actions
	358
[2232]	359	USE surface_mod, &
	360	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	361	surf_usm_v
	362
[1914]	363	USE wind_turbine_model_mod, &
[2563]	364	ONLY: wtm_tendencies
[1875]	365
[1914]	366
[1875]	367	PRIVATE
[2118]	368	PUBLIC prognostic_equations_cache, prognostic_equations_vector
[1875]	369
	370	INTERFACE prognostic_equations_cache
	371	MODULE PROCEDURE prognostic_equations_cache
	372	END INTERFACE prognostic_equations_cache
	373
	374	INTERFACE prognostic_equations_vector
	375	MODULE PROCEDURE prognostic_equations_vector
	376	END INTERFACE prognostic_equations_vector
	377
	378
	379	CONTAINS
	380
	381
	382	!------------------------------------------------------------------------------!
	383	! Description:
	384	! ------------
	385	!> Version with one optimized loop over all equations. It is only allowed to
	386	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	387	!>
	388	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	389	!> so communication between CPUs is not allowed (does not make sense) within
	390	!> these loops.
	391	!>
	392	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	393	!------------------------------------------------------------------------------!
[2155]	394
[1875]	395	SUBROUTINE prognostic_equations_cache
	396
	397
	398	IMPLICIT NONE
	399
	400	INTEGER(iwp) :: i !<
	401	INTEGER(iwp) :: i_omp_start !<
	402	INTEGER(iwp) :: j !<
	403	INTEGER(iwp) :: k !<
	404	INTEGER(iwp) :: omp_get_thread_num !<
	405	INTEGER(iwp) :: tn = 0 !<
[2155]	406
[1875]	407	LOGICAL :: loop_start !<
	408
	409
	410	!
	411	!-- Time measurement can only be performed for the whole set of equations
	412	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	413
	414	!
[2155]	415	!-- If required, calculate cloud microphysics
	416	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	417	( intermediate_timestep_count == 1 .OR. &
[2192]	418	call_microphysics_at_all_substeps ) ) &
	419	THEN
[2261]	420	!$OMP PARALLEL PRIVATE (i,j)
[2192]	421	!$OMP DO
[2155]	422	DO i = nxlg, nxrg
	423	DO j = nysg, nyng
	424	CALL microphysics_control( i, j )
[2192]	425	ENDDO
	426	ENDDO
	427	!$OMP END PARALLEL
[2155]	428	ENDIF
	429
[2192]	430	!
	431	!-- Loop over all prognostic equations
[2261]	432	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
[2192]	433
	434	!$ tn = omp_get_thread_num()
	435	loop_start = .TRUE.
	436
	437	!$OMP DO
[1875]	438	DO i = nxl, nxr
	439
	440	!
	441	!-- Store the first loop index. It differs for each thread and is required
	442	!-- later in advec_ws
	443	IF ( loop_start ) THEN
	444	loop_start = .FALSE.
[2155]	445	i_omp_start = i
[1875]	446	ENDIF
	447
	448	DO j = nys, nyn
	449	!
	450	!-- Tendency terms for u-velocity component
	451	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	452
	453	tend(:,j,i) = 0.0_wp
	454	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	455	IF ( ws_scheme_mom ) THEN
	456	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	457	ELSE
[1875]	458	CALL advec_u_pw( i, j )
[2155]	459	ENDIF
[1875]	460	ELSE
	461	CALL advec_u_up( i, j )
	462	ENDIF
	463	CALL diffusion_u( i, j )
	464	CALL coriolis( i, j, 1 )
	465	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	466	CALL buoyancy( i, j, pt, 1 )
	467	ENDIF
	468
	469	!
	470	!-- Drag by plant canopy
	471	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	472
	473	!
	474	!-- External pressure gradient
	475	IF ( dp_external ) THEN
	476	DO k = dp_level_ind_b+1, nzt
	477	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	478	ENDDO
	479	ENDIF
	480
	481	!
	482	!-- Nudging
	483	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	484
[1914]	485	!
	486	!-- Forces by wind turbines
	487	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	488
[1875]	489	CALL user_actions( i, j, 'u-tendency' )
	490	!
	491	!-- Prognostic equation for u-velocity component
[2232]	492	DO k = nzb+1, nzt
	493
	494	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
	495	( tsc(2) * tend(k,j,i) + &
	496	tsc(3) * tu_m(k,j,i) ) &
	497	- tsc(5) * rdf(k) &
	498	* ( u(k,j,i) - u_init(k) ) &
	499	) * MERGE( 1.0_wp, 0.0_wp, &
	500	BTEST( wall_flags_0(k,j,i), 1 )&
	501	)
[1875]	502	ENDDO
	503
	504	!
	505	!-- Calculate tendencies for the next Runge-Kutta step
	506	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	507	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	508	DO k = nzb+1, nzt
[1875]	509	tu_m(k,j,i) = tend(k,j,i)
	510	ENDDO
	511	ELSEIF ( intermediate_timestep_count < &
	512	intermediate_timestep_count_max ) THEN
[2232]	513	DO k = nzb+1, nzt
	514	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	515	+ 5.3125_wp * tu_m(k,j,i)
[1875]	516	ENDDO
	517	ENDIF
	518	ENDIF
	519
	520	ENDIF
	521
	522	!
	523	!-- Tendency terms for v-velocity component
	524	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	525
	526	tend(:,j,i) = 0.0_wp
	527	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	528	IF ( ws_scheme_mom ) THEN
	529	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	530	ELSE
[1875]	531	CALL advec_v_pw( i, j )
	532	ENDIF
	533	ELSE
	534	CALL advec_v_up( i, j )
	535	ENDIF
	536	CALL diffusion_v( i, j )
	537	CALL coriolis( i, j, 2 )
	538
	539	!
	540	!-- Drag by plant canopy
[2155]	541	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	542
	543	!
	544	!-- External pressure gradient
	545	IF ( dp_external ) THEN
	546	DO k = dp_level_ind_b+1, nzt
	547	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	548	ENDDO
	549	ENDIF
	550
	551	!
	552	!-- Nudging
	553	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	554
[1914]	555	!
	556	!-- Forces by wind turbines
	557	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	558
[1875]	559	CALL user_actions( i, j, 'v-tendency' )
	560	!
	561	!-- Prognostic equation for v-velocity component
[2232]	562	DO k = nzb+1, nzt
	563	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
	564	( tsc(2) * tend(k,j,i) + &
	565	tsc(3) * tv_m(k,j,i) ) &
	566	- tsc(5) * rdf(k) &
	567	* ( v(k,j,i) - v_init(k) )&
	568	) * MERGE( 1.0_wp, 0.0_wp, &
	569	BTEST( wall_flags_0(k,j,i), 2 )&
	570	)
[1875]	571	ENDDO
	572
	573	!
	574	!-- Calculate tendencies for the next Runge-Kutta step
	575	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	576	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	577	DO k = nzb+1, nzt
[1875]	578	tv_m(k,j,i) = tend(k,j,i)
	579	ENDDO
	580	ELSEIF ( intermediate_timestep_count < &
	581	intermediate_timestep_count_max ) THEN
[2232]	582	DO k = nzb+1, nzt
	583	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	584	+ 5.3125_wp * tv_m(k,j,i)
[1875]	585	ENDDO
	586	ENDIF
	587	ENDIF
	588
	589	ENDIF
	590
	591	!
	592	!-- Tendency terms for w-velocity component
	593	tend(:,j,i) = 0.0_wp
	594	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	595	IF ( ws_scheme_mom ) THEN
	596	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	597	ELSE
[1875]	598	CALL advec_w_pw( i, j )
	599	END IF
	600	ELSE
	601	CALL advec_w_up( i, j )
	602	ENDIF
	603	CALL diffusion_w( i, j )
	604	CALL coriolis( i, j, 3 )
	605
	606	IF ( .NOT. neutral ) THEN
	607	IF ( ocean ) THEN
[2031]	608	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	609	ELSE
	610	IF ( .NOT. humidity ) THEN
	611	CALL buoyancy( i, j, pt, 3 )
	612	ELSE
	613	CALL buoyancy( i, j, vpt, 3 )
	614	ENDIF
	615	ENDIF
	616	ENDIF
	617
	618	!
	619	!-- Drag by plant canopy
	620	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	621
[1914]	622	!
	623	!-- Forces by wind turbines
	624	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	625
[1875]	626	CALL user_actions( i, j, 'w-tendency' )
	627	!
	628	!-- Prognostic equation for w-velocity component
[2232]	629	DO k = nzb+1, nzt-1
	630	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
	631	( tsc(2) * tend(k,j,i) + &
[1875]	632	tsc(3) * tw_m(k,j,i) ) &
[2232]	633	- tsc(5) * rdf(k) * w(k,j,i) &
	634	) * MERGE( 1.0_wp, 0.0_wp, &
	635	BTEST( wall_flags_0(k,j,i), 3 )&
	636	)
[1875]	637	ENDDO
	638
	639	!
	640	!-- Calculate tendencies for the next Runge-Kutta step
	641	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	642	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	643	DO k = nzb+1, nzt-1
[1875]	644	tw_m(k,j,i) = tend(k,j,i)
	645	ENDDO
	646	ELSEIF ( intermediate_timestep_count < &
	647	intermediate_timestep_count_max ) THEN
[2232]	648	DO k = nzb+1, nzt-1
	649	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	650	+ 5.3125_wp * tw_m(k,j,i)
[1875]	651	ENDDO
	652	ENDIF
	653	ENDIF
	654
	655	!
	656	!-- If required, compute prognostic equation for potential temperature
	657	IF ( .NOT. neutral ) THEN
	658	!
	659	!-- Tendency terms for potential temperature
	660	tend(:,j,i) = 0.0_wp
	661	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	662	IF ( ws_scheme_sca ) THEN
[2232]	663	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
[1875]	664	flux_l_pt, diss_l_pt, i_omp_start, tn )
	665	ELSE
	666	CALL advec_s_pw( i, j, pt )
	667	ENDIF
	668	ELSE
	669	CALL advec_s_up( i, j, pt )
	670	ENDIF
[2232]	671	CALL diffusion_s( i, j, pt, &
	672	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	673	surf_def_h(2)%shf, &
	674	surf_lsm_h%shf, surf_usm_h%shf, &
	675	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	676	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	677	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	678	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	679	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	680	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	681	!
	682	!-- If required compute heating/cooling due to long wave radiation
	683	!-- processes
	684	IF ( cloud_top_radiation ) THEN
	685	CALL calc_radiation( i, j )
	686	ENDIF
	687
	688	!
	689	!-- Consideration of heat sources within the plant canopy
	690	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	691	CALL pcm_tendency( i, j, 4 )
	692	ENDIF
	693
	694	!
	695	!-- Large scale advection
	696	IF ( large_scale_forcing ) THEN
	697	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	698	ENDIF
[1875]	699
	700	!
	701	!-- Nudging
[2155]	702	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	703
	704	!
	705	!-- If required, compute effect of large-scale subsidence/ascent
	706	IF ( large_scale_subsidence .AND. &
	707	.NOT. use_subsidence_tendencies ) THEN
	708	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	709	ENDIF
	710
	711	!
	712	!-- If required, add tendency due to radiative heating/cooling
[1976]	713	IF ( radiation .AND. &
[1875]	714	simulated_time > skip_time_do_radiation ) THEN
	715	CALL radiation_tendency ( i, j, tend )
	716	ENDIF
	717
	718
	719	CALL user_actions( i, j, 'pt-tendency' )
	720	!
	721	!-- Prognostic equation for potential temperature
[2232]	722	DO k = nzb+1, nzt
	723	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
	724	( tsc(2) * tend(k,j,i) + &
[1875]	725	tsc(3) * tpt_m(k,j,i) ) &
[2232]	726	- tsc(5) &
	727	* ( pt(k,j,i) - pt_init(k) ) &
	728	* ( rdf_sc(k) + ptdf_x(i) &
	729	+ ptdf_y(j) ) &
	730	) &
	731	* MERGE( 1.0_wp, 0.0_wp, &
	732	BTEST( wall_flags_0(k,j,i), 0 )&
	733	)
[1875]	734	ENDDO
	735
	736	!
	737	!-- Calculate tendencies for the next Runge-Kutta step
	738	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	739	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	740	DO k = nzb+1, nzt
[1875]	741	tpt_m(k,j,i) = tend(k,j,i)
	742	ENDDO
	743	ELSEIF ( intermediate_timestep_count < &
	744	intermediate_timestep_count_max ) THEN
[2232]	745	DO k = nzb+1, nzt
	746	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	747	5.3125_wp * tpt_m(k,j,i)
[1875]	748	ENDDO
	749	ENDIF
	750	ENDIF
	751
	752	ENDIF
	753
	754	!
	755	!-- If required, compute prognostic equation for salinity
	756	IF ( ocean ) THEN
	757
	758	!
	759	!-- Tendency-terms for salinity
	760	tend(:,j,i) = 0.0_wp
	761	IF ( timestep_scheme(1:5) == 'runge' ) &
	762	THEN
	763	IF ( ws_scheme_sca ) THEN
	764	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	765	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	766	ELSE
[1875]	767	CALL advec_s_pw( i, j, sa )
	768	ENDIF
	769	ELSE
	770	CALL advec_s_up( i, j, sa )
	771	ENDIF
[2232]	772	CALL diffusion_s( i, j, sa, &
	773	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	774	surf_def_h(2)%sasws, &
	775	surf_lsm_h%sasws, surf_usm_h%sasws, &
	776	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	777	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	778	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	779	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	780	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	781	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[1875]	782
	783	CALL user_actions( i, j, 'sa-tendency' )
	784
	785	!
	786	!-- Prognostic equation for salinity
[2232]	787	DO k = nzb+1, nzt
	788	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * &
	789	( tsc(2) * tend(k,j,i) + &
[1875]	790	tsc(3) * tsa_m(k,j,i) ) &
[2232]	791	- tsc(5) * rdf_sc(k) &
	792	* ( sa(k,j,i) - sa_init(k) )&
	793	) * MERGE( 1.0_wp, 0.0_wp, &
	794	BTEST( wall_flags_0(k,j,i), 0 )&
	795	)
[1875]	796	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	797	ENDDO
	798
	799	!
	800	!-- Calculate tendencies for the next Runge-Kutta step
	801	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	802	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	803	DO k = nzb+1, nzt
[1875]	804	tsa_m(k,j,i) = tend(k,j,i)
	805	ENDDO
	806	ELSEIF ( intermediate_timestep_count < &
	807	intermediate_timestep_count_max ) THEN
[2232]	808	DO k = nzb+1, nzt
	809	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	810	5.3125_wp * tsa_m(k,j,i)
	811	ENDDO
[1875]	812	ENDIF
	813	ENDIF
	814
	815	!
	816	!-- Calculate density by the equation of state for seawater
	817	CALL eqn_state_seawater( i, j )
	818
	819	ENDIF
	820
	821	!
[1960]	822	!-- If required, compute prognostic equation for total water content
	823	IF ( humidity ) THEN
[1875]	824
	825	!
	826	!-- Tendency-terms for total water content / scalar
	827	tend(:,j,i) = 0.0_wp
	828	IF ( timestep_scheme(1:5) == 'runge' ) &
	829	THEN
	830	IF ( ws_scheme_sca ) THEN
[2155]	831	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	832	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	833	ELSE
[1875]	834	CALL advec_s_pw( i, j, q )
	835	ENDIF
	836	ELSE
	837	CALL advec_s_up( i, j, q )
	838	ENDIF
[2232]	839	CALL diffusion_s( i, j, q, &
	840	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	841	surf_def_h(2)%qsws, &
	842	surf_lsm_h%qsws, surf_usm_h%qsws, &
	843	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	844	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	845	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	846	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	847	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	848	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[1875]	849
	850	!
[1960]	851	!-- Sink or source of humidity due to canopy elements
[1875]	852	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	853
	854	!
	855	!-- Large scale advection
	856	IF ( large_scale_forcing ) THEN
	857	CALL ls_advec( i, j, simulated_time, 'q' )
	858	ENDIF
	859
	860	!
	861	!-- Nudging
[2155]	862	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	863
	864	!
	865	!-- If required compute influence of large-scale subsidence/ascent
	866	IF ( large_scale_subsidence .AND. &
	867	.NOT. use_subsidence_tendencies ) THEN
	868	CALL subsidence( i, j, tend, q, q_init, 3 )
	869	ENDIF
	870
	871	CALL user_actions( i, j, 'q-tendency' )
	872
	873	!
	874	!-- Prognostic equation for total water content / scalar
[2232]	875	DO k = nzb+1, nzt
	876	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
	877	( tsc(2) * tend(k,j,i) + &
[1875]	878	tsc(3) * tq_m(k,j,i) ) &
[2232]	879	- tsc(5) * rdf_sc(k) * &
	880	( q(k,j,i) - q_init(k) ) &
	881	) &
	882	* MERGE( 1.0_wp, 0.0_wp, &
	883	BTEST( wall_flags_0(k,j,i), 0 )&
	884	)
[1875]	885	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	886	ENDDO
	887
	888	!
	889	!-- Calculate tendencies for the next Runge-Kutta step
	890	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	891	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	892	DO k = nzb+1, nzt
[1875]	893	tq_m(k,j,i) = tend(k,j,i)
	894	ENDDO
	895	ELSEIF ( intermediate_timestep_count < &
	896	intermediate_timestep_count_max ) THEN
[2232]	897	DO k = nzb+1, nzt
	898	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	899	5.3125_wp * tq_m(k,j,i)
[1875]	900	ENDDO
	901	ENDIF
	902	ENDIF
	903
	904	!
[2292]	905	!-- If required, calculate prognostic equations for cloud water content
	906	!-- and cloud drop concentration
	907	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	908	!
	909	!-- Calculate prognostic equation for cloud water content
	910	tend(:,j,i) = 0.0_wp
	911	IF ( timestep_scheme(1:5) == 'runge' ) &
	912	THEN
	913	IF ( ws_scheme_sca ) THEN
	914	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
	915	diss_s_qc, flux_l_qc, diss_l_qc, &
	916	i_omp_start, tn )
	917	ELSE
	918	CALL advec_s_pw( i, j, qc )
	919	ENDIF
	920	ELSE
	921	CALL advec_s_up( i, j, qc )
	922	ENDIF
	923	CALL diffusion_s( i, j, qc, &
	924	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	925	surf_def_h(2)%qcsws, &
	926	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	927	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	928	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	929	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	930	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	931	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	932	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	933
	934	!
	935	!-- Prognostic equation for cloud water content
	936	DO k = nzb+1, nzt
	937	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
	938	( tsc(2) * tend(k,j,i) + &
	939	tsc(3) * tqc_m(k,j,i) )&
	940	- tsc(5) * rdf_sc(k) &
	941	* qc(k,j,i) &
	942	) &
	943	* MERGE( 1.0_wp, 0.0_wp, &
	944	BTEST( wall_flags_0(k,j,i), 0 )&
	945	)
	946	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	947	ENDDO
	948	!
	949	!-- Calculate tendencies for the next Runge-Kutta step
	950	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	951	IF ( intermediate_timestep_count == 1 ) THEN
	952	DO k = nzb+1, nzt
	953	tqc_m(k,j,i) = tend(k,j,i)
	954	ENDDO
	955	ELSEIF ( intermediate_timestep_count < &
	956	intermediate_timestep_count_max ) THEN
	957	DO k = nzb+1, nzt
	958	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	959	5.3125_wp * tqc_m(k,j,i)
	960	ENDDO
	961	ENDIF
	962	ENDIF
	963
	964	!
	965	!-- Calculate prognostic equation for cloud drop concentration.
	966	tend(:,j,i) = 0.0_wp
	967	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	968	IF ( ws_scheme_sca ) THEN
	969	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
	970	diss_s_nc, flux_l_nc, diss_l_nc, &
	971	i_omp_start, tn )
	972	ELSE
	973	CALL advec_s_pw( i, j, nc )
	974	ENDIF
	975	ELSE
	976	CALL advec_s_up( i, j, nc )
	977	ENDIF
	978	CALL diffusion_s( i, j, nc, &
	979	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	980	surf_def_h(2)%ncsws, &
	981	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	982	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	983	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	984	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	985	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	986	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	987	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	988
	989	!
	990	!-- Prognostic equation for cloud drop concentration
	991	DO k = nzb+1, nzt
	992	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
	993	( tsc(2) * tend(k,j,i) + &
	994	tsc(3) * tnc_m(k,j,i) )&
	995	- tsc(5) * rdf_sc(k) &
	996	* nc(k,j,i) &
	997	) &
	998	* MERGE( 1.0_wp, 0.0_wp, &
	999	BTEST( wall_flags_0(k,j,i), 0 )&
	1000	)
	1001	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	1002	ENDDO
	1003	!
	1004	!-- Calculate tendencies for the next Runge-Kutta step
	1005	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1006	IF ( intermediate_timestep_count == 1 ) THEN
	1007	DO k = nzb+1, nzt
	1008	tnc_m(k,j,i) = tend(k,j,i)
	1009	ENDDO
	1010	ELSEIF ( intermediate_timestep_count < &
	1011	intermediate_timestep_count_max ) THEN
	1012	DO k = nzb+1, nzt
	1013	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1014	5.3125_wp * tnc_m(k,j,i)
	1015	ENDDO
	1016	ENDIF
	1017	ENDIF
	1018
	1019	ENDIF
	1020	!
[2155]	1021	!-- If required, calculate prognostic equations for rain water content
[1875]	1022	!-- and rain drop concentration
	1023	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1024	!
	1025	!-- Calculate prognostic equation for rain water content
	1026	tend(:,j,i) = 0.0_wp
	1027	IF ( timestep_scheme(1:5) == 'runge' ) &
	1028	THEN
	1029	IF ( ws_scheme_sca ) THEN
[2155]	1030	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	1031	diss_s_qr, flux_l_qr, diss_l_qr, &
	1032	i_omp_start, tn )
[2155]	1033	ELSE
[1875]	1034	CALL advec_s_pw( i, j, qr )
	1035	ENDIF
	1036	ELSE
	1037	CALL advec_s_up( i, j, qr )
	1038	ENDIF
[2232]	1039	CALL diffusion_s( i, j, qr, &
	1040	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	1041	surf_def_h(2)%qrsws, &
	1042	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	1043	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	1044	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	1045	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	1046	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	1047	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	1048	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	1049
	1050	!
	1051	!-- Prognostic equation for rain water content
[2232]	1052	DO k = nzb+1, nzt
	1053	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
	1054	( tsc(2) * tend(k,j,i) + &
	1055	tsc(3) * tqr_m(k,j,i) )&
	1056	- tsc(5) * rdf_sc(k) &
	1057	* qr(k,j,i) &
	1058	) &
	1059	* MERGE( 1.0_wp, 0.0_wp, &
	1060	BTEST( wall_flags_0(k,j,i), 0 )&
	1061	)
[1875]	1062	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1063	ENDDO
	1064	!
	1065	!-- Calculate tendencies for the next Runge-Kutta step
	1066	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1067	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1068	DO k = nzb+1, nzt
[1875]	1069	tqr_m(k,j,i) = tend(k,j,i)
	1070	ENDDO
	1071	ELSEIF ( intermediate_timestep_count < &
	1072	intermediate_timestep_count_max ) THEN
[2232]	1073	DO k = nzb+1, nzt
	1074	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1075	5.3125_wp * tqr_m(k,j,i)
[1875]	1076	ENDDO
	1077	ENDIF
	1078	ENDIF
	1079
	1080	!
	1081	!-- Calculate prognostic equation for rain drop concentration.
	1082	tend(:,j,i) = 0.0_wp
	1083	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1084	IF ( ws_scheme_sca ) THEN
[2155]	1085	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	1086	diss_s_nr, flux_l_nr, diss_l_nr, &
	1087	i_omp_start, tn )
[2155]	1088	ELSE
[1875]	1089	CALL advec_s_pw( i, j, nr )
	1090	ENDIF
	1091	ELSE
	1092	CALL advec_s_up( i, j, nr )
	1093	ENDIF
[2232]	1094	CALL diffusion_s( i, j, nr, &
	1095	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	1096	surf_def_h(2)%nrsws, &
	1097	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	1098	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	1099	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	1100	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	1101	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	1102	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	1103	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	1104
	1105	!
	1106	!-- Prognostic equation for rain drop concentration
[2232]	1107	DO k = nzb+1, nzt
	1108	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
	1109	( tsc(2) * tend(k,j,i) + &
	1110	tsc(3) * tnr_m(k,j,i) )&
	1111	- tsc(5) * rdf_sc(k) &
	1112	* nr(k,j,i) &
	1113	) &
	1114	* MERGE( 1.0_wp, 0.0_wp, &
	1115	BTEST( wall_flags_0(k,j,i), 0 )&
	1116	)
[1875]	1117	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1118	ENDDO
	1119	!
	1120	!-- Calculate tendencies for the next Runge-Kutta step
	1121	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1122	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1123	DO k = nzb+1, nzt
[1875]	1124	tnr_m(k,j,i) = tend(k,j,i)
	1125	ENDDO
	1126	ELSEIF ( intermediate_timestep_count < &
	1127	intermediate_timestep_count_max ) THEN
[2232]	1128	DO k = nzb+1, nzt
	1129	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1130	5.3125_wp * tnr_m(k,j,i)
[1875]	1131	ENDDO
	1132	ENDIF
	1133	ENDIF
	1134
	1135	ENDIF
	1136
	1137	ENDIF
[2155]	1138
[1960]	1139	!
	1140	!-- If required, compute prognostic equation for scalar
	1141	IF ( passive_scalar ) THEN
	1142	!
	1143	!-- Tendency-terms for total water content / scalar
	1144	tend(:,j,i) = 0.0_wp
	1145	IF ( timestep_scheme(1:5) == 'runge' ) &
	1146	THEN
	1147	IF ( ws_scheme_sca ) THEN
[2155]	1148	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	1149	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	1150	ELSE
[1960]	1151	CALL advec_s_pw( i, j, s )
	1152	ENDIF
	1153	ELSE
	1154	CALL advec_s_up( i, j, s )
	1155	ENDIF
[2232]	1156	CALL diffusion_s( i, j, s, &
	1157	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	1158	surf_def_h(2)%ssws, &
	1159	surf_lsm_h%ssws, surf_usm_h%ssws, &
	1160	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	1161	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	1162	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	1163	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	1164	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	1165	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[1875]	1166
	1167	!
[1960]	1168	!-- Sink or source of scalar concentration due to canopy elements
	1169	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	1170
	1171	!
	1172	!-- Large scale advection, still need to be extended for scalars
	1173	! IF ( large_scale_forcing ) THEN
	1174	! CALL ls_advec( i, j, simulated_time, 's' )
	1175	! ENDIF
	1176
	1177	!
	1178	!-- Nudging, still need to be extended for scalars
[2155]	1179	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	1180
	1181	!
	1182	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	1183	!-- Note, the last argument is of no meaning in this case, as it is
	1184	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	1185	!-- date not implemented for scalars.
	1186	IF ( large_scale_subsidence .AND. &
	1187	.NOT. use_subsidence_tendencies .AND. &
	1188	.NOT. large_scale_forcing ) THEN
	1189	CALL subsidence( i, j, tend, s, s_init, 3 )
	1190	ENDIF
	1191
	1192	CALL user_actions( i, j, 's-tendency' )
	1193
	1194	!
	1195	!-- Prognostic equation for scalar
[2232]	1196	DO k = nzb+1, nzt
	1197	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
	1198	( tsc(2) * tend(k,j,i) + &
	1199	tsc(3) * ts_m(k,j,i) ) &
	1200	- tsc(5) * rdf_sc(k) &
	1201	* ( s(k,j,i) - s_init(k) )&
	1202	) &
	1203	* MERGE( 1.0_wp, 0.0_wp, &
	1204	BTEST( wall_flags_0(k,j,i), 0 )&
	1205	)
[1960]	1206	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1207	ENDDO
	1208
	1209	!
	1210	!-- Calculate tendencies for the next Runge-Kutta step
	1211	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1212	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1213	DO k = nzb+1, nzt
[1960]	1214	ts_m(k,j,i) = tend(k,j,i)
	1215	ENDDO
	1216	ELSEIF ( intermediate_timestep_count < &
	1217	intermediate_timestep_count_max ) THEN
[2232]	1218	DO k = nzb+1, nzt
	1219	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1220	5.3125_wp * ts_m(k,j,i)
[1960]	1221	ENDDO
	1222	ENDIF
	1223	ENDIF
	1224
[2155]	1225	ENDIF
[1960]	1226	!
[2155]	1227	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	1228	!-- energy (TKE)
	1229	IF ( .NOT. constant_diffusion ) THEN
	1230
	1231	!
	1232	!-- Tendency-terms for TKE
	1233	tend(:,j,i) = 0.0_wp
	1234	IF ( timestep_scheme(1:5) == 'runge' &
[2155]	1235	.AND. .NOT. use_upstream_for_tke ) THEN
[1875]	1236	IF ( ws_scheme_sca ) THEN
	1237	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	1238	flux_l_e, diss_l_e , i_omp_start, tn )
	1239	ELSE
	1240	CALL advec_s_pw( i, j, e )
	1241	ENDIF
	1242	ELSE
	1243	CALL advec_s_up( i, j, e )
	1244	ENDIF
	1245	IF ( .NOT. humidity ) THEN
	1246	IF ( ocean ) THEN
	1247	CALL diffusion_e( i, j, prho, prho_reference )
	1248	ELSE
	1249	CALL diffusion_e( i, j, pt, pt_reference )
	1250	ENDIF
	1251	ELSE
	1252	CALL diffusion_e( i, j, vpt, pt_reference )
	1253	ENDIF
	1254	CALL production_e( i, j )
	1255
	1256	!
	1257	!-- Additional sink term for flows through plant canopies
[2155]	1258	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
[1875]	1259
	1260	CALL user_actions( i, j, 'e-tendency' )
	1261
	1262	!
	1263	!-- Prognostic equation for TKE.
	1264	!-- Eliminate negative TKE values, which can occur due to numerical
	1265	!-- reasons in the course of the integration. In such cases the old
	1266	!-- TKE value is reduced by 90%.
[2232]	1267	DO k = nzb+1, nzt
	1268	e_p(k,j,i) = e(k,j,i) + ( dt_3d * &
	1269	( tsc(2) * tend(k,j,i) + &
	1270	tsc(3) * te_m(k,j,i) ) &
	1271	) &
	1272	* MERGE( 1.0_wp, 0.0_wp, &
	1273	BTEST( wall_flags_0(k,j,i), 0 )&
	1274	)
[1875]	1275	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1276	ENDDO
	1277
	1278	!
	1279	!-- Calculate tendencies for the next Runge-Kutta step
	1280	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1281	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1282	DO k = nzb+1, nzt
[1875]	1283	te_m(k,j,i) = tend(k,j,i)
	1284	ENDDO
	1285	ELSEIF ( intermediate_timestep_count < &
	1286	intermediate_timestep_count_max ) THEN
[2232]	1287	DO k = nzb+1, nzt
	1288	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1289	5.3125_wp * te_m(k,j,i)
[1875]	1290	ENDDO
	1291	ENDIF
	1292	ENDIF
	1293
	1294	ENDIF ! TKE equation
	1295
	1296	ENDDO
	1297	ENDDO
[2192]	1298	!$OMP END PARALLEL
[1875]	1299
[2232]	1300
	1301
	1302
[1875]	1303	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1304
	1305
	1306	END SUBROUTINE prognostic_equations_cache
	1307
	1308
	1309	!------------------------------------------------------------------------------!
	1310	! Description:
	1311	! ------------
	1312	!> Version for vector machines
	1313	!------------------------------------------------------------------------------!
[2155]	1314
[1875]	1315	SUBROUTINE prognostic_equations_vector
	1316
	1317
	1318	IMPLICIT NONE
	1319
	1320	INTEGER(iwp) :: i !<
	1321	INTEGER(iwp) :: j !<
	1322	INTEGER(iwp) :: k !<
	1323
	1324	REAL(wp) :: sbt !<
	1325
	1326
	1327	!
	1328	!-- If required, calculate cloud microphysical impacts
	1329	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1330	( intermediate_timestep_count == 1 .OR. &
	1331	call_microphysics_at_all_substeps ) &
	1332	) THEN
	1333	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1334	CALL microphysics_control
	1335	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1336	ENDIF
	1337
	1338	!
	1339	!-- u-velocity component
	1340	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1341
	1342	tend = 0.0_wp
	1343	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1344	IF ( ws_scheme_mom ) THEN
	1345	CALL advec_u_ws
	1346	ELSE
	1347	CALL advec_u_pw
	1348	ENDIF
	1349	ELSE
	1350	CALL advec_u_up
	1351	ENDIF
	1352	CALL diffusion_u
	1353	CALL coriolis( 1 )
	1354	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1355	CALL buoyancy( pt, 1 )
	1356	ENDIF
	1357
	1358	!
	1359	!-- Drag by plant canopy
	1360	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1361
	1362	!
	1363	!-- External pressure gradient
	1364	IF ( dp_external ) THEN
	1365	DO i = nxlu, nxr
	1366	DO j = nys, nyn
	1367	DO k = dp_level_ind_b+1, nzt
	1368	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1369	ENDDO
	1370	ENDDO
	1371	ENDDO
	1372	ENDIF
	1373
	1374	!
	1375	!-- Nudging
	1376	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1377
[1914]	1378	!
	1379	!-- Forces by wind turbines
	1380	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1381
[1875]	1382	CALL user_actions( 'u-tendency' )
	1383
	1384	!
	1385	!-- Prognostic equation for u-velocity component
	1386	DO i = nxlu, nxr
	1387	DO j = nys, nyn
[2232]	1388	DO k = nzb+1, nzt
	1389	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1390	tsc(3) * tu_m(k,j,i) ) &
	1391	- tsc(5) * rdf(k) * &
	1392	( u(k,j,i) - u_init(k) ) &
	1393	) * MERGE( 1.0_wp, 0.0_wp, &
	1394	BTEST( wall_flags_0(k,j,i), 1 ) &
	1395	)
[1875]	1396	ENDDO
	1397	ENDDO
	1398	ENDDO
	1399
	1400	!
	1401	!-- Calculate tendencies for the next Runge-Kutta step
	1402	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1403	IF ( intermediate_timestep_count == 1 ) THEN
	1404	DO i = nxlu, nxr
	1405	DO j = nys, nyn
[2232]	1406	DO k = nzb+1, nzt
[1875]	1407	tu_m(k,j,i) = tend(k,j,i)
	1408	ENDDO
	1409	ENDDO
	1410	ENDDO
	1411	ELSEIF ( intermediate_timestep_count < &
	1412	intermediate_timestep_count_max ) THEN
	1413	DO i = nxlu, nxr
	1414	DO j = nys, nyn
[2232]	1415	DO k = nzb+1, nzt
	1416	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1417	+ 5.3125_wp * tu_m(k,j,i)
[1875]	1418	ENDDO
	1419	ENDDO
	1420	ENDDO
	1421	ENDIF
	1422	ENDIF
	1423
	1424	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1425
	1426	!
	1427	!-- v-velocity component
	1428	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1429
	1430	tend = 0.0_wp
	1431	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1432	IF ( ws_scheme_mom ) THEN
	1433	CALL advec_v_ws
[2155]	1434	ELSE
[1875]	1435	CALL advec_v_pw
	1436	END IF
	1437	ELSE
	1438	CALL advec_v_up
	1439	ENDIF
	1440	CALL diffusion_v
	1441	CALL coriolis( 2 )
	1442
	1443	!
	1444	!-- Drag by plant canopy
	1445	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1446
	1447	!
	1448	!-- External pressure gradient
	1449	IF ( dp_external ) THEN
	1450	DO i = nxl, nxr
	1451	DO j = nysv, nyn
	1452	DO k = dp_level_ind_b+1, nzt
	1453	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1454	ENDDO
	1455	ENDDO
	1456	ENDDO
	1457	ENDIF
	1458
	1459	!
	1460	!-- Nudging
	1461	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1462
[1914]	1463	!
	1464	!-- Forces by wind turbines
	1465	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1466
[1875]	1467	CALL user_actions( 'v-tendency' )
	1468
	1469	!
	1470	!-- Prognostic equation for v-velocity component
	1471	DO i = nxl, nxr
	1472	DO j = nysv, nyn
[2232]	1473	DO k = nzb+1, nzt
	1474	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1475	tsc(3) * tv_m(k,j,i) ) &
	1476	- tsc(5) * rdf(k) * &
	1477	( v(k,j,i) - v_init(k) ) &
	1478	) * MERGE( 1.0_wp, 0.0_wp, &
	1479	BTEST( wall_flags_0(k,j,i), 2 )&
	1480	)
[1875]	1481	ENDDO
	1482	ENDDO
	1483	ENDDO
	1484
	1485	!
	1486	!-- Calculate tendencies for the next Runge-Kutta step
	1487	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1488	IF ( intermediate_timestep_count == 1 ) THEN
	1489	DO i = nxl, nxr
	1490	DO j = nysv, nyn
[2232]	1491	DO k = nzb+1, nzt
[1875]	1492	tv_m(k,j,i) = tend(k,j,i)
	1493	ENDDO
	1494	ENDDO
	1495	ENDDO
	1496	ELSEIF ( intermediate_timestep_count < &
	1497	intermediate_timestep_count_max ) THEN
	1498	DO i = nxl, nxr
	1499	DO j = nysv, nyn
[2232]	1500	DO k = nzb+1, nzt
	1501	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1502	+ 5.3125_wp * tv_m(k,j,i)
[1875]	1503	ENDDO
	1504	ENDDO
	1505	ENDDO
	1506	ENDIF
	1507	ENDIF
	1508
	1509	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1510
	1511	!
	1512	!-- w-velocity component
	1513	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1514
	1515	tend = 0.0_wp
	1516	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1517	IF ( ws_scheme_mom ) THEN
	1518	CALL advec_w_ws
	1519	ELSE
	1520	CALL advec_w_pw
	1521	ENDIF
	1522	ELSE
	1523	CALL advec_w_up
	1524	ENDIF
	1525	CALL diffusion_w
	1526	CALL coriolis( 3 )
	1527
	1528	IF ( .NOT. neutral ) THEN
	1529	IF ( ocean ) THEN
[2031]	1530	CALL buoyancy( rho_ocean, 3 )
[1875]	1531	ELSE
	1532	IF ( .NOT. humidity ) THEN
	1533	CALL buoyancy( pt, 3 )
	1534	ELSE
	1535	CALL buoyancy( vpt, 3 )
	1536	ENDIF
	1537	ENDIF
	1538	ENDIF
	1539
	1540	!
	1541	!-- Drag by plant canopy
	1542	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1543
[1914]	1544	!
	1545	!-- Forces by wind turbines
	1546	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1547
[1875]	1548	CALL user_actions( 'w-tendency' )
	1549
	1550	!
	1551	!-- Prognostic equation for w-velocity component
	1552	DO i = nxl, nxr
	1553	DO j = nys, nyn
[2232]	1554	DO k = nzb+1, nzt-1
	1555	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1556	tsc(3) * tw_m(k,j,i) ) &
	1557	- tsc(5) * rdf(k) * w(k,j,i) &
	1558	) * MERGE( 1.0_wp, 0.0_wp, &
	1559	BTEST( wall_flags_0(k,j,i), 3 )&
	1560	)
[1875]	1561	ENDDO
	1562	ENDDO
	1563	ENDDO
	1564
	1565	!
	1566	!-- Calculate tendencies for the next Runge-Kutta step
	1567	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1568	IF ( intermediate_timestep_count == 1 ) THEN
	1569	DO i = nxl, nxr
	1570	DO j = nys, nyn
[2232]	1571	DO k = nzb+1, nzt-1
[1875]	1572	tw_m(k,j,i) = tend(k,j,i)
	1573	ENDDO
	1574	ENDDO
	1575	ENDDO
	1576	ELSEIF ( intermediate_timestep_count < &
	1577	intermediate_timestep_count_max ) THEN
	1578	DO i = nxl, nxr
	1579	DO j = nys, nyn
[2232]	1580	DO k = nzb+1, nzt-1
	1581	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1582	+ 5.3125_wp * tw_m(k,j,i)
[1875]	1583	ENDDO
	1584	ENDDO
	1585	ENDDO
	1586	ENDIF
	1587	ENDIF
	1588
	1589	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1590
	1591
	1592	!
	1593	!-- If required, compute prognostic equation for potential temperature
	1594	IF ( .NOT. neutral ) THEN
	1595
	1596	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1597
	1598	!
	1599	!-- pt-tendency terms with communication
	1600	sbt = tsc(2)
	1601	IF ( scalar_advec == 'bc-scheme' ) THEN
	1602
	1603	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1604	!
	1605	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1606	sbt = 1.0_wp
	1607	ENDIF
	1608	tend = 0.0_wp
	1609	CALL advec_s_bc( pt, 'pt' )
	1610
	1611	ENDIF
	1612
	1613	!
	1614	!-- pt-tendency terms with no communication
	1615	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1616	tend = 0.0_wp
	1617	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1618	IF ( ws_scheme_sca ) THEN
	1619	CALL advec_s_ws( pt, 'pt' )
	1620	ELSE
	1621	CALL advec_s_pw( pt )
	1622	ENDIF
	1623	ELSE
	1624	CALL advec_s_up( pt )
	1625	ENDIF
	1626	ENDIF
	1627
[2232]	1628	CALL diffusion_s( pt, &
	1629	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	1630	surf_def_h(2)%shf, &
	1631	surf_lsm_h%shf, surf_usm_h%shf, &
	1632	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	1633	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	1634	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	1635	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	1636	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	1637	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	1638	!
	1639	!-- If required compute heating/cooling due to long wave radiation processes
	1640	IF ( cloud_top_radiation ) THEN
	1641	CALL calc_radiation
	1642	ENDIF
	1643
	1644	!
	1645	!-- Consideration of heat sources within the plant canopy
	1646	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1647	CALL pcm_tendency( 4 )
	1648	ENDIF
	1649
	1650	!
	1651	!-- Large scale advection
	1652	IF ( large_scale_forcing ) THEN
	1653	CALL ls_advec( simulated_time, 'pt' )
	1654	ENDIF
	1655
	1656	!
	1657	!-- Nudging
[2155]	1658	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1659
	1660	!
	1661	!-- If required compute influence of large-scale subsidence/ascent
	1662	IF ( large_scale_subsidence .AND. &
	1663	.NOT. use_subsidence_tendencies ) THEN
	1664	CALL subsidence( tend, pt, pt_init, 2 )
	1665	ENDIF
	1666
	1667	!
	1668	!-- If required, add tendency due to radiative heating/cooling
[1976]	1669	IF ( radiation .AND. &
[1875]	1670	simulated_time > skip_time_do_radiation ) THEN
	1671	CALL radiation_tendency ( tend )
	1672	ENDIF
	1673
	1674	CALL user_actions( 'pt-tendency' )
	1675
	1676	!
	1677	!-- Prognostic equation for potential temperature
	1678	DO i = nxl, nxr
	1679	DO j = nys, nyn
[2232]	1680	DO k = nzb+1, nzt
	1681	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1682	tsc(3) * tpt_m(k,j,i) ) &
	1683	- tsc(5) * &
	1684	( pt(k,j,i) - pt_init(k) ) *&
	1685	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
	1686	) &
	1687	* MERGE( 1.0_wp, 0.0_wp, &
	1688	BTEST( wall_flags_0(k,j,i), 0 ) &
	1689	)
[1875]	1690	ENDDO
	1691	ENDDO
	1692	ENDDO
	1693
	1694	!
	1695	!-- Calculate tendencies for the next Runge-Kutta step
	1696	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1697	IF ( intermediate_timestep_count == 1 ) THEN
	1698	DO i = nxl, nxr
	1699	DO j = nys, nyn
[2232]	1700	DO k = nzb+1, nzt
[1875]	1701	tpt_m(k,j,i) = tend(k,j,i)
	1702	ENDDO
	1703	ENDDO
	1704	ENDDO
	1705	ELSEIF ( intermediate_timestep_count < &
	1706	intermediate_timestep_count_max ) THEN
	1707	DO i = nxl, nxr
	1708	DO j = nys, nyn
[2232]	1709	DO k = nzb+1, nzt
	1710	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1711	5.3125_wp * tpt_m(k,j,i)
[1875]	1712	ENDDO
	1713	ENDDO
	1714	ENDDO
	1715	ENDIF
	1716	ENDIF
	1717
	1718	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1719
	1720	ENDIF
	1721
	1722	!
	1723	!-- If required, compute prognostic equation for salinity
	1724	IF ( ocean ) THEN
	1725
	1726	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1727
	1728	!
	1729	!-- sa-tendency terms with communication
	1730	sbt = tsc(2)
	1731	IF ( scalar_advec == 'bc-scheme' ) THEN
	1732
	1733	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1734	!
	1735	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1736	sbt = 1.0_wp
	1737	ENDIF
	1738	tend = 0.0_wp
	1739	CALL advec_s_bc( sa, 'sa' )
	1740
	1741	ENDIF
	1742
	1743	!
	1744	!-- sa-tendency terms with no communication
	1745	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1746	tend = 0.0_wp
	1747	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1748	IF ( ws_scheme_sca ) THEN
	1749	CALL advec_s_ws( sa, 'sa' )
	1750	ELSE
	1751	CALL advec_s_pw( sa )
	1752	ENDIF
	1753	ELSE
	1754	CALL advec_s_up( sa )
	1755	ENDIF
	1756	ENDIF
	1757
[2232]	1758	CALL diffusion_s( sa, &
	1759	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	1760	surf_def_h(2)%sasws, &
	1761	surf_lsm_h%sasws, surf_usm_h%sasws, &
	1762	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	1763	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	1764	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	1765	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	1766	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	1767	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[2155]	1768
[1875]	1769	CALL user_actions( 'sa-tendency' )
	1770
	1771	!
	1772	!-- Prognostic equation for salinity
	1773	DO i = nxl, nxr
	1774	DO j = nys, nyn
[2232]	1775	DO k = nzb+1, nzt
	1776	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1777	tsc(3) * tsa_m(k,j,i) ) &
	1778	- tsc(5) * rdf_sc(k) * &
	1779	( sa(k,j,i) - sa_init(k) ) &
	1780	) &
	1781	* MERGE( 1.0_wp, 0.0_wp, &
	1782	BTEST( wall_flags_0(k,j,i), 0 ) &
	1783	)
[1875]	1784	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1785	ENDDO
	1786	ENDDO
	1787	ENDDO
	1788
	1789	!
	1790	!-- Calculate tendencies for the next Runge-Kutta step
	1791	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1792	IF ( intermediate_timestep_count == 1 ) THEN
	1793	DO i = nxl, nxr
	1794	DO j = nys, nyn
[2232]	1795	DO k = nzb+1, nzt
[1875]	1796	tsa_m(k,j,i) = tend(k,j,i)
	1797	ENDDO
	1798	ENDDO
	1799	ENDDO
	1800	ELSEIF ( intermediate_timestep_count < &
	1801	intermediate_timestep_count_max ) THEN
	1802	DO i = nxl, nxr
	1803	DO j = nys, nyn
[2232]	1804	DO k = nzb+1, nzt
	1805	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1806	5.3125_wp * tsa_m(k,j,i)
[1875]	1807	ENDDO
	1808	ENDDO
	1809	ENDDO
	1810	ENDIF
	1811	ENDIF
	1812
	1813	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1814
	1815	!
	1816	!-- Calculate density by the equation of state for seawater
	1817	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1818	CALL eqn_state_seawater
	1819	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1820
	1821	ENDIF
	1822
	1823	!
[1960]	1824	!-- If required, compute prognostic equation for total water content
	1825	IF ( humidity ) THEN
[1875]	1826
[1960]	1827	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1828
	1829	!
	1830	!-- Scalar/q-tendency terms with communication
	1831	sbt = tsc(2)
	1832	IF ( scalar_advec == 'bc-scheme' ) THEN
	1833
	1834	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1835	!
	1836	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1837	sbt = 1.0_wp
	1838	ENDIF
	1839	tend = 0.0_wp
	1840	CALL advec_s_bc( q, 'q' )
	1841
	1842	ENDIF
	1843
	1844	!
	1845	!-- Scalar/q-tendency terms with no communication
	1846	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1847	tend = 0.0_wp
	1848	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1849	IF ( ws_scheme_sca ) THEN
	1850	CALL advec_s_ws( q, 'q' )
	1851	ELSE
	1852	CALL advec_s_pw( q )
	1853	ENDIF
	1854	ELSE
	1855	CALL advec_s_up( q )
	1856	ENDIF
	1857	ENDIF
	1858
[2232]	1859	CALL diffusion_s( q, &
	1860	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	1861	surf_def_h(2)%qsws, &
	1862	surf_lsm_h%qsws, surf_usm_h%qsws, &
	1863	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	1864	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	1865	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	1866	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	1867	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	1868	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[2155]	1869
[1875]	1870	!
[1960]	1871	!-- Sink or source of humidity due to canopy elements
[1875]	1872	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1873
	1874	!
	1875	!-- Large scale advection
	1876	IF ( large_scale_forcing ) THEN
	1877	CALL ls_advec( simulated_time, 'q' )
	1878	ENDIF
	1879
	1880	!
	1881	!-- Nudging
[2155]	1882	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1883
	1884	!
	1885	!-- If required compute influence of large-scale subsidence/ascent
	1886	IF ( large_scale_subsidence .AND. &
	1887	.NOT. use_subsidence_tendencies ) THEN
	1888	CALL subsidence( tend, q, q_init, 3 )
	1889	ENDIF
	1890
	1891	CALL user_actions( 'q-tendency' )
	1892
	1893	!
[1960]	1894	!-- Prognostic equation for total water content
[1875]	1895	DO i = nxl, nxr
	1896	DO j = nys, nyn
[2232]	1897	DO k = nzb+1, nzt
	1898	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1899	tsc(3) * tq_m(k,j,i) ) &
	1900	- tsc(5) * rdf_sc(k) * &
	1901	( q(k,j,i) - q_init(k) ) &
	1902	) * MERGE( 1.0_wp, 0.0_wp, &
	1903	BTEST( wall_flags_0(k,j,i), 0 ) &
	1904	)
[1875]	1905	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1906	ENDDO
	1907	ENDDO
	1908	ENDDO
	1909
	1910	!
	1911	!-- Calculate tendencies for the next Runge-Kutta step
	1912	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1913	IF ( intermediate_timestep_count == 1 ) THEN
	1914	DO i = nxl, nxr
	1915	DO j = nys, nyn
[2232]	1916	DO k = nzb+1, nzt
[1875]	1917	tq_m(k,j,i) = tend(k,j,i)
	1918	ENDDO
	1919	ENDDO
	1920	ENDDO
	1921	ELSEIF ( intermediate_timestep_count < &
	1922	intermediate_timestep_count_max ) THEN
	1923	DO i = nxl, nxr
	1924	DO j = nys, nyn
[2232]	1925	DO k = nzb+1, nzt
	1926	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1927	+ 5.3125_wp * tq_m(k,j,i)
[1875]	1928	ENDDO
	1929	ENDDO
	1930	ENDDO
	1931	ENDIF
	1932	ENDIF
	1933
[1960]	1934	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1935
	1936	!
[2292]	1937	!-- If required, calculate prognostic equations for cloud water content
	1938	!-- and cloud drop concentration
	1939	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	1940
	1941	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
	1942
	1943	!
	1944	!-- Calculate prognostic equation for cloud water content
	1945	sbt = tsc(2)
	1946	IF ( scalar_advec == 'bc-scheme' ) THEN
	1947
	1948	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1949	!
	1950	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1951	sbt = 1.0_wp
	1952	ENDIF
	1953	tend = 0.0_wp
	1954	CALL advec_s_bc( qc, 'qc' )
	1955
	1956	ENDIF
	1957
	1958	!
	1959	!-- qc-tendency terms with no communication
	1960	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1961	tend = 0.0_wp
	1962	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1963	IF ( ws_scheme_sca ) THEN
	1964	CALL advec_s_ws( qc, 'qc' )
	1965	ELSE
	1966	CALL advec_s_pw( qc )
	1967	ENDIF
	1968	ELSE
	1969	CALL advec_s_up( qc )
	1970	ENDIF
	1971	ENDIF
	1972
	1973	CALL diffusion_s( qc, &
	1974	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	1975	surf_def_h(2)%qcsws, &
	1976	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	1977	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	1978	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	1979	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	1980	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	1981	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	1982	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	1983
	1984	!
	1985	!-- Prognostic equation for cloud water content
	1986	DO i = nxl, nxr
	1987	DO j = nys, nyn
	1988	DO k = nzb+1, nzt
	1989	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1990	tsc(3) * tqc_m(k,j,i) ) &
	1991	- tsc(5) * rdf_sc(k) * &
	1992	qc(k,j,i) &
	1993	) &
	1994	* MERGE( 1.0_wp, 0.0_wp, &
	1995	BTEST( wall_flags_0(k,j,i), 0 ) &
	1996	)
	1997	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	1998	ENDDO
	1999	ENDDO
	2000	ENDDO
	2001
	2002	!
	2003	!-- Calculate tendencies for the next Runge-Kutta step
	2004	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2005	IF ( intermediate_timestep_count == 1 ) THEN
	2006	DO i = nxl, nxr
	2007	DO j = nys, nyn
	2008	DO k = nzb+1, nzt
	2009	tqc_m(k,j,i) = tend(k,j,i)
	2010	ENDDO
	2011	ENDDO
	2012	ENDDO
	2013	ELSEIF ( intermediate_timestep_count < &
	2014	intermediate_timestep_count_max ) THEN
	2015	DO i = nxl, nxr
	2016	DO j = nys, nyn
	2017	DO k = nzb+1, nzt
	2018	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2019	+ 5.3125_wp * tqc_m(k,j,i)
	2020	ENDDO
	2021	ENDDO
	2022	ENDDO
	2023	ENDIF
	2024	ENDIF
	2025
	2026	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
	2027	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
	2028
	2029	!
	2030	!-- Calculate prognostic equation for cloud drop concentration
	2031	sbt = tsc(2)
	2032	IF ( scalar_advec == 'bc-scheme' ) THEN
	2033
	2034	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2035	!
	2036	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2037	sbt = 1.0_wp
	2038	ENDIF
	2039	tend = 0.0_wp
	2040	CALL advec_s_bc( nc, 'nc' )
	2041
	2042	ENDIF
	2043
	2044	!
	2045	!-- nc-tendency terms with no communication
	2046	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2047	tend = 0.0_wp
	2048	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2049	IF ( ws_scheme_sca ) THEN
	2050	CALL advec_s_ws( nc, 'nc' )
	2051	ELSE
	2052	CALL advec_s_pw( nc )
	2053	ENDIF
	2054	ELSE
	2055	CALL advec_s_up( nc )
	2056	ENDIF
	2057	ENDIF
	2058
	2059	CALL diffusion_s( nc, &
	2060	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	2061	surf_def_h(2)%ncsws, &
	2062	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	2063	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	2064	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	2065	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	2066	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	2067	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	2068	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	2069
	2070	!
	2071	!-- Prognostic equation for cloud drop concentration
	2072	DO i = nxl, nxr
	2073	DO j = nys, nyn
	2074	DO k = nzb+1, nzt
	2075	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2076	tsc(3) * tnc_m(k,j,i) ) &
	2077	- tsc(5) * rdf_sc(k) * &
	2078	nc(k,j,i) &
	2079	) &
	2080	* MERGE( 1.0_wp, 0.0_wp, &
	2081	BTEST( wall_flags_0(k,j,i), 0 ) &
	2082	)
	2083	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	2084	ENDDO
	2085	ENDDO
	2086	ENDDO
	2087
	2088	!
	2089	!-- Calculate tendencies for the next Runge-Kutta step
	2090	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2091	IF ( intermediate_timestep_count == 1 ) THEN
	2092	DO i = nxl, nxr
	2093	DO j = nys, nyn
	2094	DO k = nzb+1, nzt
	2095	tnc_m(k,j,i) = tend(k,j,i)
	2096	ENDDO
	2097	ENDDO
	2098	ENDDO
	2099	ELSEIF ( intermediate_timestep_count < &
	2100	intermediate_timestep_count_max ) THEN
	2101	DO i = nxl, nxr
	2102	DO j = nys, nyn
	2103	DO k = nzb+1, nzt
	2104	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2105	+ 5.3125_wp * tnc_m(k,j,i)
	2106	ENDDO
	2107	ENDDO
	2108	ENDDO
	2109	ENDIF
	2110	ENDIF
	2111
	2112	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
	2113
	2114	ENDIF
	2115	!
[2155]	2116	!-- If required, calculate prognostic equations for rain water content
[1875]	2117	!-- and rain drop concentration
	2118	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2119
	2120	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2121
	2122	!
	2123	!-- Calculate prognostic equation for rain water content
	2124	sbt = tsc(2)
	2125	IF ( scalar_advec == 'bc-scheme' ) THEN
	2126
	2127	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2128	!
	2129	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2130	sbt = 1.0_wp
	2131	ENDIF
	2132	tend = 0.0_wp
	2133	CALL advec_s_bc( qr, 'qr' )
	2134
	2135	ENDIF
	2136
	2137	!
	2138	!-- qr-tendency terms with no communication
	2139	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2140	tend = 0.0_wp
	2141	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2142	IF ( ws_scheme_sca ) THEN
	2143	CALL advec_s_ws( qr, 'qr' )
	2144	ELSE
	2145	CALL advec_s_pw( qr )
	2146	ENDIF
	2147	ELSE
	2148	CALL advec_s_up( qr )
	2149	ENDIF
	2150	ENDIF
	2151
[2232]	2152	CALL diffusion_s( qr, &
	2153	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	2154	surf_def_h(2)%qrsws, &
	2155	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	2156	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	2157	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	2158	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	2159	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	2160	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	2161	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	2162
	2163	!
	2164	!-- Prognostic equation for rain water content
	2165	DO i = nxl, nxr
	2166	DO j = nys, nyn
[2232]	2167	DO k = nzb+1, nzt
	2168	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2169	tsc(3) * tqr_m(k,j,i) ) &
	2170	- tsc(5) * rdf_sc(k) * &
	2171	qr(k,j,i) &
	2172	) &
	2173	* MERGE( 1.0_wp, 0.0_wp, &
	2174	BTEST( wall_flags_0(k,j,i), 0 ) &
	2175	)
[1875]	2176	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2177	ENDDO
	2178	ENDDO
	2179	ENDDO
	2180
	2181	!
	2182	!-- Calculate tendencies for the next Runge-Kutta step
	2183	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2184	IF ( intermediate_timestep_count == 1 ) THEN
	2185	DO i = nxl, nxr
	2186	DO j = nys, nyn
[2232]	2187	DO k = nzb+1, nzt
[1875]	2188	tqr_m(k,j,i) = tend(k,j,i)
	2189	ENDDO
	2190	ENDDO
	2191	ENDDO
	2192	ELSEIF ( intermediate_timestep_count < &
	2193	intermediate_timestep_count_max ) THEN
	2194	DO i = nxl, nxr
	2195	DO j = nys, nyn
[2232]	2196	DO k = nzb+1, nzt
	2197	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2198	+ 5.3125_wp * tqr_m(k,j,i)
[1875]	2199	ENDDO
	2200	ENDDO
	2201	ENDDO
	2202	ENDIF
	2203	ENDIF
	2204
	2205	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2206	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2207
	2208	!
	2209	!-- Calculate prognostic equation for rain drop concentration
	2210	sbt = tsc(2)
	2211	IF ( scalar_advec == 'bc-scheme' ) THEN
	2212
	2213	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2214	!
	2215	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2216	sbt = 1.0_wp
	2217	ENDIF
	2218	tend = 0.0_wp
	2219	CALL advec_s_bc( nr, 'nr' )
	2220
	2221	ENDIF
	2222
	2223	!
	2224	!-- nr-tendency terms with no communication
	2225	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2226	tend = 0.0_wp
	2227	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2228	IF ( ws_scheme_sca ) THEN
	2229	CALL advec_s_ws( nr, 'nr' )
	2230	ELSE
	2231	CALL advec_s_pw( nr )
	2232	ENDIF
	2233	ELSE
	2234	CALL advec_s_up( nr )
	2235	ENDIF
	2236	ENDIF
	2237
[2232]	2238	CALL diffusion_s( nr, &
	2239	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	2240	surf_def_h(2)%nrsws, &
	2241	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	2242	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	2243	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	2244	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	2245	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	2246	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	2247	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	2248
	2249	!
	2250	!-- Prognostic equation for rain drop concentration
	2251	DO i = nxl, nxr
	2252	DO j = nys, nyn
[2232]	2253	DO k = nzb+1, nzt
	2254	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2255	tsc(3) * tnr_m(k,j,i) ) &
	2256	- tsc(5) * rdf_sc(k) * &
	2257	nr(k,j,i) &
	2258	) &
	2259	* MERGE( 1.0_wp, 0.0_wp, &
	2260	BTEST( wall_flags_0(k,j,i), 0 ) &
	2261	)
[1875]	2262	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2263	ENDDO
	2264	ENDDO
	2265	ENDDO
	2266
	2267	!
	2268	!-- Calculate tendencies for the next Runge-Kutta step
	2269	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2270	IF ( intermediate_timestep_count == 1 ) THEN
	2271	DO i = nxl, nxr
	2272	DO j = nys, nyn
[2232]	2273	DO k = nzb+1, nzt
[1875]	2274	tnr_m(k,j,i) = tend(k,j,i)
	2275	ENDDO
	2276	ENDDO
	2277	ENDDO
	2278	ELSEIF ( intermediate_timestep_count < &
	2279	intermediate_timestep_count_max ) THEN
	2280	DO i = nxl, nxr
	2281	DO j = nys, nyn
[2232]	2282	DO k = nzb+1, nzt
	2283	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2284	+ 5.3125_wp * tnr_m(k,j,i)
[1875]	2285	ENDDO
	2286	ENDDO
	2287	ENDDO
	2288	ENDIF
	2289	ENDIF
	2290
	2291	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2292
	2293	ENDIF
	2294
	2295	ENDIF
[1960]	2296	!
	2297	!-- If required, compute prognostic equation for scalar
	2298	IF ( passive_scalar ) THEN
[1875]	2299
[1960]	2300	CALL cpu_log( log_point(66), 's-equation', 'start' )
	2301
[1875]	2302	!
[1960]	2303	!-- Scalar/q-tendency terms with communication
	2304	sbt = tsc(2)
	2305	IF ( scalar_advec == 'bc-scheme' ) THEN
	2306
	2307	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2308	!
	2309	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2310	sbt = 1.0_wp
	2311	ENDIF
	2312	tend = 0.0_wp
	2313	CALL advec_s_bc( s, 's' )
	2314
	2315	ENDIF
	2316
	2317	!
	2318	!-- Scalar/q-tendency terms with no communication
	2319	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2320	tend = 0.0_wp
	2321	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2322	IF ( ws_scheme_sca ) THEN
	2323	CALL advec_s_ws( s, 's' )
	2324	ELSE
	2325	CALL advec_s_pw( s )
	2326	ENDIF
	2327	ELSE
	2328	CALL advec_s_up( s )
	2329	ENDIF
	2330	ENDIF
	2331
[2232]	2332	CALL diffusion_s( s, &
	2333	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	2334	surf_def_h(2)%ssws, &
	2335	surf_lsm_h%ssws, surf_usm_h%ssws, &
	2336	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	2337	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	2338	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	2339	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	2340	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	2341	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[2155]	2342
[1960]	2343	!
	2344	!-- Sink or source of humidity due to canopy elements
	2345	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	2346
	2347	!
	2348	!-- Large scale advection. Not implemented for scalars so far.
	2349	! IF ( large_scale_forcing ) THEN
	2350	! CALL ls_advec( simulated_time, 'q' )
	2351	! ENDIF
	2352
	2353	!
	2354	!-- Nudging. Not implemented for scalars so far.
[2155]	2355	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	2356
	2357	!
	2358	!-- If required compute influence of large-scale subsidence/ascent.
	2359	!-- Not implemented for scalars so far.
	2360	IF ( large_scale_subsidence .AND. &
	2361	.NOT. use_subsidence_tendencies .AND. &
	2362	.NOT. large_scale_forcing ) THEN
	2363	CALL subsidence( tend, s, s_init, 3 )
	2364	ENDIF
	2365
	2366	CALL user_actions( 's-tendency' )
	2367
	2368	!
	2369	!-- Prognostic equation for total water content
	2370	DO i = nxl, nxr
	2371	DO j = nys, nyn
[2232]	2372	DO k = nzb+1, nzt
	2373	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2374	tsc(3) * ts_m(k,j,i) ) &
	2375	- tsc(5) * rdf_sc(k) * &
	2376	( s(k,j,i) - s_init(k) ) &
	2377	) &
	2378	* MERGE( 1.0_wp, 0.0_wp, &
	2379	BTEST( wall_flags_0(k,j,i), 0 ) &
	2380	)
[1960]	2381	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	2382	ENDDO
	2383	ENDDO
	2384	ENDDO
	2385
	2386	!
	2387	!-- Calculate tendencies for the next Runge-Kutta step
	2388	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2389	IF ( intermediate_timestep_count == 1 ) THEN
	2390	DO i = nxl, nxr
	2391	DO j = nys, nyn
[2232]	2392	DO k = nzb+1, nzt
[1960]	2393	ts_m(k,j,i) = tend(k,j,i)
	2394	ENDDO
	2395	ENDDO
	2396	ENDDO
	2397	ELSEIF ( intermediate_timestep_count < &
	2398	intermediate_timestep_count_max ) THEN
	2399	DO i = nxl, nxr
	2400	DO j = nys, nyn
[2232]	2401	DO k = nzb+1, nzt
	2402	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2403	+ 5.3125_wp * ts_m(k,j,i)
[1960]	2404	ENDDO
	2405	ENDDO
	2406	ENDDO
	2407	ENDIF
	2408	ENDIF
	2409
	2410	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	2411
	2412	ENDIF
	2413	!
[2155]	2414	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	2415	!-- energy (TKE)
	2416	IF ( .NOT. constant_diffusion ) THEN
	2417
	2418	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2419
	2420	sbt = tsc(2)
	2421	IF ( .NOT. use_upstream_for_tke ) THEN
	2422	IF ( scalar_advec == 'bc-scheme' ) THEN
	2423
	2424	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2425	!
	2426	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2427	sbt = 1.0_wp
	2428	ENDIF
	2429	tend = 0.0_wp
	2430	CALL advec_s_bc( e, 'e' )
	2431
	2432	ENDIF
	2433	ENDIF
	2434
	2435	!
	2436	!-- TKE-tendency terms with no communication
	2437	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2438	IF ( use_upstream_for_tke ) THEN
	2439	tend = 0.0_wp
	2440	CALL advec_s_up( e )
	2441	ELSE
	2442	tend = 0.0_wp
	2443	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2444	IF ( ws_scheme_sca ) THEN
	2445	CALL advec_s_ws( e, 'e' )
[2155]	2446	ELSE
[1875]	2447	CALL advec_s_pw( e )
	2448	ENDIF
	2449	ELSE
	2450	CALL advec_s_up( e )
	2451	ENDIF
	2452	ENDIF
	2453	ENDIF
	2454
	2455	IF ( .NOT. humidity ) THEN
	2456	IF ( ocean ) THEN
	2457	CALL diffusion_e( prho, prho_reference )
	2458	ELSE
	2459	CALL diffusion_e( pt, pt_reference )
	2460	ENDIF
	2461	ELSE
	2462	CALL diffusion_e( vpt, pt_reference )
	2463	ENDIF
	2464
	2465	CALL production_e
	2466
	2467	!
	2468	!-- Additional sink term for flows through plant canopies
	2469	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	2470	CALL user_actions( 'e-tendency' )
	2471
	2472	!
	2473	!-- Prognostic equation for TKE.
	2474	!-- Eliminate negative TKE values, which can occur due to numerical
	2475	!-- reasons in the course of the integration. In such cases the old TKE
	2476	!-- value is reduced by 90%.
	2477	DO i = nxl, nxr
	2478	DO j = nys, nyn
[2232]	2479	DO k = nzb+1, nzt
	2480	e_p(k,j,i) = e(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2481	tsc(3) * te_m(k,j,i) ) &
	2482	) &
	2483	* MERGE( 1.0_wp, 0.0_wp, &
	2484	BTEST( wall_flags_0(k,j,i), 0 ) &
	2485	)
[1875]	2486	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	2487	ENDDO
	2488	ENDDO
	2489	ENDDO
	2490
	2491	!
	2492	!-- Calculate tendencies for the next Runge-Kutta step
	2493	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2494	IF ( intermediate_timestep_count == 1 ) THEN
	2495	DO i = nxl, nxr
	2496	DO j = nys, nyn
[2232]	2497	DO k = nzb+1, nzt
[1875]	2498	te_m(k,j,i) = tend(k,j,i)
	2499	ENDDO
	2500	ENDDO
	2501	ENDDO
	2502	ELSEIF ( intermediate_timestep_count < &
	2503	intermediate_timestep_count_max ) THEN
	2504	DO i = nxl, nxr
	2505	DO j = nys, nyn
[2232]	2506	DO k = nzb+1, nzt
	2507	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2508	+ 5.3125_wp * te_m(k,j,i)
[1875]	2509	ENDDO
	2510	ENDDO
	2511	ENDDO
	2512	ENDIF
	2513	ENDIF
	2514
	2515	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2516
	2517	ENDIF
	2518
	2519	END SUBROUTINE prognostic_equations_vector
	2520
	2521
	2522	END MODULE prognostic_equations_mod

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