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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2310

Last change on this file since 2310 was 2292, checked in by schwenkel, 7 years ago
implementation of new bulk microphysics scheme
Property svn:keywords set to `Id`
File size: 95.6 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 2292 2017-06-20 09:51:42Z gronemeier $
[2292]	27	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	28	! includes two more prognostic equations for cloud drop concentration (nc)
	29	! and cloud water content (qc).
	30	!
	31	! 2261 2017-06-08 14:25:57Z raasch
[2261]	32	! bugfix for r2232: openmp directives removed
	33	!
	34	! 2233 2017-05-30 18:08:54Z suehring
[1875]	35	!
[2233]	36	! 2232 2017-05-30 17:47:52Z suehring
	37	! Adjutst to new surface-type structure. Remove call for usm_wall_heat_flux,
	38	! which is realized directly in diffusion_s now.
	39	!
[2193]	40	! 2192 2017-03-22 04:14:10Z raasch
	41	! Bugfix for misplaced and missing openMP directives from r2155
	42	!
[2156]	43	! 2155 2017-02-21 09:57:40Z hoffmann
	44	! Bugfix in the calculation of microphysical quantities on ghost points.
	45	!
[2119]	46	! 2118 2017-01-17 16:38:49Z raasch
	47	! OpenACC version of subroutine removed
[2155]	48	!
[2032]	49	! 2031 2016-10-21 15:11:58Z knoop
	50	! renamed variable rho to rho_ocean
[2155]	51	!
[2012]	52	! 2011 2016-09-19 17:29:57Z kanani
	53	! Flag urban_surface is now defined in module control_parameters.
[2155]	54	!
[2008]	55	! 2007 2016-08-24 15:47:17Z kanani
	56	! Added pt tendency calculation based on energy balance at urban surfaces
	57	! (new urban surface model)
[2155]	58	!
[2001]	59	! 2000 2016-08-20 18:09:15Z knoop
	60	! Forced header and separation lines into 80 columns
[2155]	61	!
[1977]	62	! 1976 2016-07-27 13:28:04Z maronga
	63	! Simplied calls to radiation model
[2155]	64	!
[1961]	65	! 1960 2016-07-12 16:34:24Z suehring
	66	! Separate humidity and passive scalar
[2155]	67	!
[1917]	68	! 1914 2016-05-26 14:44:07Z witha
	69	! Added calls for wind turbine model
	70	!
[1874]	71	! 1873 2016-04-18 14:50:06Z maronga
	72	! Module renamed (removed _mod)
[2155]	73	!
[1851]	74	! 1850 2016-04-08 13:29:27Z maronga
	75	! Module renamed
[2155]	76	!
[1827]	77	! 1826 2016-04-07 12:01:39Z maronga
[1875]	78	! Renamed canopy model calls.
[2155]	79	!
[1875]	80	! 1822 2016-04-07 07:49:42Z hoffmann
	81	! Kessler microphysics scheme moved to microphysics.
	82	!
	83	! 1757 2016-02-22 15:49:32Z maronga
[2155]	84	!
[1875]	85	! 1691 2015-10-26 16:17:44Z maronga
	86	! Added optional model spin-up without radiation / land surface model calls.
	87	! Formatting corrections.
[2155]	88	!
[1875]	89	! 1682 2015-10-07 23:56:08Z knoop
[2155]	90	! Code annotations made doxygen readable
	91	!
[1875]	92	! 1585 2015-04-30 07:05:52Z maronga
	93	! Added call for temperature tendency calculation due to radiative flux divergence
[2155]	94	!
[1875]	95	! 1517 2015-01-07 19:12:25Z hoffmann
	96	! advec_s_bc_mod addded, since advec_s_bc is now a module
	97	!
	98	! 1496 2014-12-02 17:25:50Z maronga
	99	! Renamed "radiation" -> "cloud_top_radiation"
[2155]	100	!
[1875]	101	! 1484 2014-10-21 10:53:05Z kanani
	102	! Changes due to new module structure of the plant canopy model:
	103	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	104	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	105	! control_parameters
[2155]	106	!
[1875]	107	! 1409 2014-05-23 12:11:32Z suehring
[2155]	108	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
[1875]	109	! This ensures that left-hand side fluxes are also calculated for nxl in that
[2155]	110	! case, even though the solution at nxl is overwritten in boundary_conds()
	111	!
[1875]	112	! 1398 2014-05-07 11:15:00Z heinze
	113	! Rayleigh-damping for horizontal velocity components changed: instead of damping
[2155]	114	! against ug and vg, damping against u_init and v_init is used to allow for a
[1875]	115	! homogenized treatment in case of nudging
[2155]	116	!
[1875]	117	! 1380 2014-04-28 12:40:45Z heinze
[2155]	118	! Change order of calls for scalar prognostic quantities:
	119	! ls_advec -> nudging -> subsidence since initial profiles
	120	!
[1875]	121	! 1374 2014-04-25 12:55:07Z raasch
	122	! missing variables added to ONLY lists
[2155]	123	!
[1875]	124	! 1365 2014-04-22 15:03:56Z boeske
[2155]	125	! Calls of ls_advec for large scale advection added,
[1875]	126	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	127	! new argument ls_index added to the calls of subsidence
	128	! +ls_index
[2155]	129	!
[1875]	130	! 1361 2014-04-16 15:17:48Z hoffmann
	131	! Two-moment microphysics moved to the start of prognostic equations. This makes
	132	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	133	! Additionally, it is allowed to call the microphysics just once during the time
	134	! step (not at each sub-time step).
	135	!
	136	! Two-moment cloud physics added for vector and accelerator optimization.
[2155]	137	!
[1875]	138	! 1353 2014-04-08 15:21:23Z heinze
	139	! REAL constants provided with KIND-attribute
[2155]	140	!
[1875]	141	! 1337 2014-03-25 15:11:48Z heinze
	142	! Bugfix: REAL constants provided with KIND-attribute
[2155]	143	!
[1875]	144	! 1332 2014-03-25 11:59:43Z suehring
[2155]	145	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	146	!
[1875]	147	! 1330 2014-03-24 17:29:32Z suehring
[2155]	148	! In case of SGS-particle velocity advection of TKE is also allowed with
[1875]	149	! dissipative 5th-order scheme.
	150	!
	151	! 1320 2014-03-20 08:40:49Z raasch
	152	! ONLY-attribute added to USE-statements,
	153	! kind-parameters added to all INTEGER and REAL declaration statements,
	154	! kinds are defined in new module kinds,
	155	! old module precision_kind is removed,
	156	! revision history before 2012 removed,
	157	! comment fields (!:) to be used for variable explanations added to
	158	! all variable declaration statements
	159	!
	160	! 1318 2014-03-17 13:35:16Z raasch
	161	! module interfaces removed
	162	!
	163	! 1257 2013-11-08 15:18:40Z raasch
	164	! openacc loop vector clauses removed, independent clauses added
	165	!
	166	! 1246 2013-11-01 08:59:45Z heinze
	167	! enable nudging also for accelerator version
	168	!
	169	! 1241 2013-10-30 11:36:58Z heinze
	170	! usage of nudging enabled (so far not implemented for accelerator version)
	171	!
	172	! 1179 2013-06-14 05:57:58Z raasch
	173	! two arguments removed from routine buoyancy, ref_state updated on device
	174	!
	175	! 1128 2013-04-12 06:19:32Z raasch
	176	! those parts requiring global communication moved to time_integration,
	177	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	178	! j_north
	179	!
	180	! 1115 2013-03-26 18:16:16Z hoffmann
[2155]	181	! optimized cloud physics: calculation of microphysical tendencies transfered
[1875]	182	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	183	!
	184	! 1111 2013-03-08 23:54:10Z raasch
	185	! update directives for prognostic quantities removed
	186	!
	187	! 1106 2013-03-04 05:31:38Z raasch
	188	! small changes in code formatting
	189	!
	190	! 1092 2013-02-02 11:24:22Z raasch
	191	! unused variables removed
	192	!
	193	! 1053 2012-11-13 17:11:03Z hoffmann
	194	! implementation of two new prognostic equations for rain drop concentration (nr)
	195	! and rain water content (qr)
	196	!
	197	! currently, only available for cache loop optimization
	198	!
	199	! 1036 2012-10-22 13:43:42Z raasch
	200	! code put under GPL (PALM 3.9)
	201	!
	202	! 1019 2012-09-28 06:46:45Z raasch
	203	! non-optimized version of prognostic_equations removed
	204	!
	205	! 1015 2012-09-27 09:23:24Z raasch
	206	! new branch prognostic_equations_acc
	207	! OpenACC statements added + code changes required for GPU optimization
	208	!
	209	! 1001 2012-09-13 14:08:46Z raasch
	210	! all actions concerning leapfrog- and upstream-spline-scheme removed
	211	!
	212	! 978 2012-08-09 08:28:32Z fricke
	213	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	214	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	215	! boundary in case of non-cyclic lateral boundaries
	216	! Bugfix: first thread index changes for WS-scheme at the inflow
	217	!
	218	! 940 2012-07-09 14:31:00Z raasch
	219	! temperature equation can be switched off
	220	!
	221	! Revision 1.1 2000/04/13 14:56:27 schroeter
	222	! Initial revision
	223	!
	224	!
	225	! Description:
	226	! ------------
	227	!> Solving the prognostic equations.
	228	!------------------------------------------------------------------------------!
	229	MODULE prognostic_equations_mod
	230
	231
[2155]	232
[1875]	233	USE arrays_3d, &
[2292]	234	ONLY: diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qc, &
	235	diss_l_qr, diss_l_s, diss_l_sa, diss_s_e, diss_s_nc, diss_s_nr, &
	236	diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, diss_s_sa, &
	237	e, e_p, flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, &
	238	flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, flux_l_nc, &
	239	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, flux_l_qr, flux_l_s, &
	240	flux_l_sa, nc, nc_p, nr, nr_p, pt, ptdf_x, ptdf_y, pt_init, &
	241	pt_p, prho, q, q_init, q_p, qc, qc_p, qr, qr_p, rdf, rdf_sc, &
	242	ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, tend, &
	243	te_m, tnc_m, tnr_m, tpt_m, tq_m, tqc_m, tqr_m, ts_m, tsa_m, &
	244	tu_m, tv_m, tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, &
	245	w, w_p
[2155]	246
[1875]	247	USE control_parameters, &
	248	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	249	cloud_top_radiation, constant_diffusion, dp_external, &
	250	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	251	inflow_l, intermediate_timestep_count, &
	252	intermediate_timestep_count_max, large_scale_forcing, &
[2292]	253	large_scale_subsidence, microphysics_morrison, microphysics_seifert, &
[1875]	254	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	255	outflow_s, passive_scalar, prho_reference, prho_reference, &
	256	prho_reference, pt_reference, pt_reference, pt_reference, &
	257	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[2232]	258	timestep_scheme, tsc, use_subsidence_tendencies, &
	259	use_upstream_for_tke, ws_scheme_mom, ws_scheme_sca
[1875]	260
	261	USE cpulog, &
	262	ONLY: cpu_log, log_point
	263
	264	USE eqn_state_seawater_mod, &
	265	ONLY: eqn_state_seawater
	266
	267	USE indices, &
[2232]	268	ONLY: nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, nzb, &
	269	nzt, wall_flags_0
[1875]	270
	271	USE advec_ws, &
[2118]	272	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
[1875]	273
	274	USE advec_s_bc_mod, &
	275	ONLY: advec_s_bc
	276
	277	USE advec_s_pw_mod, &
	278	ONLY: advec_s_pw
	279
	280	USE advec_s_up_mod, &
	281	ONLY: advec_s_up
	282
	283	USE advec_u_pw_mod, &
	284	ONLY: advec_u_pw
	285
	286	USE advec_u_up_mod, &
	287	ONLY: advec_u_up
	288
	289	USE advec_v_pw_mod, &
	290	ONLY: advec_v_pw
	291
	292	USE advec_v_up_mod, &
	293	ONLY: advec_v_up
	294
	295	USE advec_w_pw_mod, &
	296	ONLY: advec_w_pw
	297
	298	USE advec_w_up_mod, &
	299	ONLY: advec_w_up
	300
	301	USE buoyancy_mod, &
[2118]	302	ONLY: buoyancy
[1875]	303
	304	USE calc_radiation_mod, &
	305	ONLY: calc_radiation
[2155]	306
[1875]	307	USE coriolis_mod, &
[2118]	308	ONLY: coriolis
[1875]	309
	310	USE diffusion_e_mod, &
[2118]	311	ONLY: diffusion_e
[1875]	312
	313	USE diffusion_s_mod, &
[2118]	314	ONLY: diffusion_s
[1875]	315
	316	USE diffusion_u_mod, &
[2118]	317	ONLY: diffusion_u
[1875]	318
	319	USE diffusion_v_mod, &
[2118]	320	ONLY: diffusion_v
[1875]	321
	322	USE diffusion_w_mod, &
[2118]	323	ONLY: diffusion_w
[1875]	324
	325	USE kinds
	326
	327	USE ls_forcing_mod, &
	328	ONLY: ls_advec
	329
	330	USE microphysics_mod, &
	331	ONLY: microphysics_control
	332
	333	USE nudge_mod, &
	334	ONLY: nudge
	335
	336	USE plant_canopy_model_mod, &
	337	ONLY: cthf, plant_canopy, pcm_tendency
	338
	339	USE production_e_mod, &
[2118]	340	ONLY: production_e
[1875]	341
	342	USE radiation_model_mod, &
[1976]	343	ONLY: radiation, radiation_tendency, &
[1875]	344	skip_time_do_radiation
	345
	346	USE statistics, &
	347	ONLY: hom
	348
	349	USE subsidence_mod, &
	350	ONLY: subsidence
	351
	352	USE user_actions_mod, &
	353	ONLY: user_actions
	354
[2232]	355	USE surface_mod, &
	356	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	357	surf_usm_v
	358
[1914]	359	USE wind_turbine_model_mod, &
	360	ONLY: wind_turbine, wtm_tendencies
[1875]	361
[1914]	362
[1875]	363	PRIVATE
[2118]	364	PUBLIC prognostic_equations_cache, prognostic_equations_vector
[1875]	365
	366	INTERFACE prognostic_equations_cache
	367	MODULE PROCEDURE prognostic_equations_cache
	368	END INTERFACE prognostic_equations_cache
	369
	370	INTERFACE prognostic_equations_vector
	371	MODULE PROCEDURE prognostic_equations_vector
	372	END INTERFACE prognostic_equations_vector
	373
	374
	375	CONTAINS
	376
	377
	378	!------------------------------------------------------------------------------!
	379	! Description:
	380	! ------------
	381	!> Version with one optimized loop over all equations. It is only allowed to
	382	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	383	!>
	384	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	385	!> so communication between CPUs is not allowed (does not make sense) within
	386	!> these loops.
	387	!>
	388	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	389	!------------------------------------------------------------------------------!
[2155]	390
[1875]	391	SUBROUTINE prognostic_equations_cache
	392
	393
	394	IMPLICIT NONE
	395
	396	INTEGER(iwp) :: i !<
	397	INTEGER(iwp) :: i_omp_start !<
	398	INTEGER(iwp) :: j !<
	399	INTEGER(iwp) :: k !<
	400	INTEGER(iwp) :: omp_get_thread_num !<
	401	INTEGER(iwp) :: tn = 0 !<
[2155]	402
[1875]	403	LOGICAL :: loop_start !<
	404
	405
	406	!
	407	!-- Time measurement can only be performed for the whole set of equations
	408	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	409
	410	!
[2155]	411	!-- If required, calculate cloud microphysics
	412	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	413	( intermediate_timestep_count == 1 .OR. &
[2192]	414	call_microphysics_at_all_substeps ) ) &
	415	THEN
[2261]	416	!$OMP PARALLEL PRIVATE (i,j)
[2192]	417	!$OMP DO
[2155]	418	DO i = nxlg, nxrg
	419	DO j = nysg, nyng
	420	CALL microphysics_control( i, j )
[2192]	421	ENDDO
	422	ENDDO
	423	!$OMP END PARALLEL
[2155]	424	ENDIF
	425
[2192]	426	!
	427	!-- Loop over all prognostic equations
[2261]	428	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
[2192]	429
	430	!$ tn = omp_get_thread_num()
	431	loop_start = .TRUE.
	432
	433	!$OMP DO
[1875]	434	DO i = nxl, nxr
	435
	436	!
	437	!-- Store the first loop index. It differs for each thread and is required
	438	!-- later in advec_ws
	439	IF ( loop_start ) THEN
	440	loop_start = .FALSE.
[2155]	441	i_omp_start = i
[1875]	442	ENDIF
	443
	444	DO j = nys, nyn
	445	!
	446	!-- Tendency terms for u-velocity component
	447	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	448
	449	tend(:,j,i) = 0.0_wp
	450	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	451	IF ( ws_scheme_mom ) THEN
	452	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	453	ELSE
[1875]	454	CALL advec_u_pw( i, j )
[2155]	455	ENDIF
[1875]	456	ELSE
	457	CALL advec_u_up( i, j )
	458	ENDIF
	459	CALL diffusion_u( i, j )
	460	CALL coriolis( i, j, 1 )
	461	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	462	CALL buoyancy( i, j, pt, 1 )
	463	ENDIF
	464
	465	!
	466	!-- Drag by plant canopy
	467	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	468
	469	!
	470	!-- External pressure gradient
	471	IF ( dp_external ) THEN
	472	DO k = dp_level_ind_b+1, nzt
	473	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	474	ENDDO
	475	ENDIF
	476
	477	!
	478	!-- Nudging
	479	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	480
[1914]	481	!
	482	!-- Forces by wind turbines
	483	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	484
[1875]	485	CALL user_actions( i, j, 'u-tendency' )
	486	!
	487	!-- Prognostic equation for u-velocity component
[2232]	488	DO k = nzb+1, nzt
	489
	490	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
	491	( tsc(2) * tend(k,j,i) + &
	492	tsc(3) * tu_m(k,j,i) ) &
	493	- tsc(5) * rdf(k) &
	494	* ( u(k,j,i) - u_init(k) ) &
	495	) * MERGE( 1.0_wp, 0.0_wp, &
	496	BTEST( wall_flags_0(k,j,i), 1 )&
	497	)
[1875]	498	ENDDO
	499
	500	!
	501	!-- Calculate tendencies for the next Runge-Kutta step
	502	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	503	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	504	DO k = nzb+1, nzt
[1875]	505	tu_m(k,j,i) = tend(k,j,i)
	506	ENDDO
	507	ELSEIF ( intermediate_timestep_count < &
	508	intermediate_timestep_count_max ) THEN
[2232]	509	DO k = nzb+1, nzt
	510	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	511	+ 5.3125_wp * tu_m(k,j,i)
[1875]	512	ENDDO
	513	ENDIF
	514	ENDIF
	515
	516	ENDIF
	517
	518	!
	519	!-- Tendency terms for v-velocity component
	520	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	521
	522	tend(:,j,i) = 0.0_wp
	523	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	524	IF ( ws_scheme_mom ) THEN
	525	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	526	ELSE
[1875]	527	CALL advec_v_pw( i, j )
	528	ENDIF
	529	ELSE
	530	CALL advec_v_up( i, j )
	531	ENDIF
	532	CALL diffusion_v( i, j )
	533	CALL coriolis( i, j, 2 )
	534
	535	!
	536	!-- Drag by plant canopy
[2155]	537	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	538
	539	!
	540	!-- External pressure gradient
	541	IF ( dp_external ) THEN
	542	DO k = dp_level_ind_b+1, nzt
	543	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	544	ENDDO
	545	ENDIF
	546
	547	!
	548	!-- Nudging
	549	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	550
[1914]	551	!
	552	!-- Forces by wind turbines
	553	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	554
[1875]	555	CALL user_actions( i, j, 'v-tendency' )
	556	!
	557	!-- Prognostic equation for v-velocity component
[2232]	558	DO k = nzb+1, nzt
	559	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
	560	( tsc(2) * tend(k,j,i) + &
	561	tsc(3) * tv_m(k,j,i) ) &
	562	- tsc(5) * rdf(k) &
	563	* ( v(k,j,i) - v_init(k) )&
	564	) * MERGE( 1.0_wp, 0.0_wp, &
	565	BTEST( wall_flags_0(k,j,i), 2 )&
	566	)
[1875]	567	ENDDO
	568
	569	!
	570	!-- Calculate tendencies for the next Runge-Kutta step
	571	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	572	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	573	DO k = nzb+1, nzt
[1875]	574	tv_m(k,j,i) = tend(k,j,i)
	575	ENDDO
	576	ELSEIF ( intermediate_timestep_count < &
	577	intermediate_timestep_count_max ) THEN
[2232]	578	DO k = nzb+1, nzt
	579	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	580	+ 5.3125_wp * tv_m(k,j,i)
[1875]	581	ENDDO
	582	ENDIF
	583	ENDIF
	584
	585	ENDIF
	586
	587	!
	588	!-- Tendency terms for w-velocity component
	589	tend(:,j,i) = 0.0_wp
	590	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	591	IF ( ws_scheme_mom ) THEN
	592	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	593	ELSE
[1875]	594	CALL advec_w_pw( i, j )
	595	END IF
	596	ELSE
	597	CALL advec_w_up( i, j )
	598	ENDIF
	599	CALL diffusion_w( i, j )
	600	CALL coriolis( i, j, 3 )
	601
	602	IF ( .NOT. neutral ) THEN
	603	IF ( ocean ) THEN
[2031]	604	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	605	ELSE
	606	IF ( .NOT. humidity ) THEN
	607	CALL buoyancy( i, j, pt, 3 )
	608	ELSE
	609	CALL buoyancy( i, j, vpt, 3 )
	610	ENDIF
	611	ENDIF
	612	ENDIF
	613
	614	!
	615	!-- Drag by plant canopy
	616	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	617
[1914]	618	!
	619	!-- Forces by wind turbines
	620	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	621
[1875]	622	CALL user_actions( i, j, 'w-tendency' )
	623	!
	624	!-- Prognostic equation for w-velocity component
[2232]	625	DO k = nzb+1, nzt-1
	626	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
	627	( tsc(2) * tend(k,j,i) + &
[1875]	628	tsc(3) * tw_m(k,j,i) ) &
[2232]	629	- tsc(5) * rdf(k) * w(k,j,i) &
	630	) * MERGE( 1.0_wp, 0.0_wp, &
	631	BTEST( wall_flags_0(k,j,i), 3 )&
	632	)
[1875]	633	ENDDO
	634
	635	!
	636	!-- Calculate tendencies for the next Runge-Kutta step
	637	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	638	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	639	DO k = nzb+1, nzt-1
[1875]	640	tw_m(k,j,i) = tend(k,j,i)
	641	ENDDO
	642	ELSEIF ( intermediate_timestep_count < &
	643	intermediate_timestep_count_max ) THEN
[2232]	644	DO k = nzb+1, nzt-1
	645	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	646	+ 5.3125_wp * tw_m(k,j,i)
[1875]	647	ENDDO
	648	ENDIF
	649	ENDIF
	650
	651	!
	652	!-- If required, compute prognostic equation for potential temperature
	653	IF ( .NOT. neutral ) THEN
	654	!
	655	!-- Tendency terms for potential temperature
	656	tend(:,j,i) = 0.0_wp
	657	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	658	IF ( ws_scheme_sca ) THEN
[2232]	659	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
[1875]	660	flux_l_pt, diss_l_pt, i_omp_start, tn )
	661	ELSE
	662	CALL advec_s_pw( i, j, pt )
	663	ENDIF
	664	ELSE
	665	CALL advec_s_up( i, j, pt )
	666	ENDIF
[2232]	667	CALL diffusion_s( i, j, pt, &
	668	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	669	surf_def_h(2)%shf, &
	670	surf_lsm_h%shf, surf_usm_h%shf, &
	671	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	672	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	673	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	674	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	675	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	676	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	677	!
	678	!-- If required compute heating/cooling due to long wave radiation
	679	!-- processes
	680	IF ( cloud_top_radiation ) THEN
	681	CALL calc_radiation( i, j )
	682	ENDIF
	683
	684	!
	685	!-- Consideration of heat sources within the plant canopy
	686	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	687	CALL pcm_tendency( i, j, 4 )
	688	ENDIF
	689
	690	!
	691	!-- Large scale advection
	692	IF ( large_scale_forcing ) THEN
	693	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	694	ENDIF
[1875]	695
	696	!
	697	!-- Nudging
[2155]	698	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	699
	700	!
	701	!-- If required, compute effect of large-scale subsidence/ascent
	702	IF ( large_scale_subsidence .AND. &
	703	.NOT. use_subsidence_tendencies ) THEN
	704	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	705	ENDIF
	706
	707	!
	708	!-- If required, add tendency due to radiative heating/cooling
[1976]	709	IF ( radiation .AND. &
[1875]	710	simulated_time > skip_time_do_radiation ) THEN
	711	CALL radiation_tendency ( i, j, tend )
	712	ENDIF
	713
	714
	715	CALL user_actions( i, j, 'pt-tendency' )
	716	!
	717	!-- Prognostic equation for potential temperature
[2232]	718	DO k = nzb+1, nzt
	719	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
	720	( tsc(2) * tend(k,j,i) + &
[1875]	721	tsc(3) * tpt_m(k,j,i) ) &
[2232]	722	- tsc(5) &
	723	* ( pt(k,j,i) - pt_init(k) ) &
	724	* ( rdf_sc(k) + ptdf_x(i) &
	725	+ ptdf_y(j) ) &
	726	) &
	727	* MERGE( 1.0_wp, 0.0_wp, &
	728	BTEST( wall_flags_0(k,j,i), 0 )&
	729	)
[1875]	730	ENDDO
	731
	732	!
	733	!-- Calculate tendencies for the next Runge-Kutta step
	734	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	735	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	736	DO k = nzb+1, nzt
[1875]	737	tpt_m(k,j,i) = tend(k,j,i)
	738	ENDDO
	739	ELSEIF ( intermediate_timestep_count < &
	740	intermediate_timestep_count_max ) THEN
[2232]	741	DO k = nzb+1, nzt
	742	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	743	5.3125_wp * tpt_m(k,j,i)
[1875]	744	ENDDO
	745	ENDIF
	746	ENDIF
	747
	748	ENDIF
	749
	750	!
	751	!-- If required, compute prognostic equation for salinity
	752	IF ( ocean ) THEN
	753
	754	!
	755	!-- Tendency-terms for salinity
	756	tend(:,j,i) = 0.0_wp
	757	IF ( timestep_scheme(1:5) == 'runge' ) &
	758	THEN
	759	IF ( ws_scheme_sca ) THEN
	760	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	761	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	762	ELSE
[1875]	763	CALL advec_s_pw( i, j, sa )
	764	ENDIF
	765	ELSE
	766	CALL advec_s_up( i, j, sa )
	767	ENDIF
[2232]	768	CALL diffusion_s( i, j, sa, &
	769	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	770	surf_def_h(2)%sasws, &
	771	surf_lsm_h%sasws, surf_usm_h%sasws, &
	772	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	773	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	774	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	775	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	776	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	777	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[1875]	778
	779	CALL user_actions( i, j, 'sa-tendency' )
	780
	781	!
	782	!-- Prognostic equation for salinity
[2232]	783	DO k = nzb+1, nzt
	784	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * &
	785	( tsc(2) * tend(k,j,i) + &
[1875]	786	tsc(3) * tsa_m(k,j,i) ) &
[2232]	787	- tsc(5) * rdf_sc(k) &
	788	* ( sa(k,j,i) - sa_init(k) )&
	789	) * MERGE( 1.0_wp, 0.0_wp, &
	790	BTEST( wall_flags_0(k,j,i), 0 )&
	791	)
[1875]	792	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	793	ENDDO
	794
	795	!
	796	!-- Calculate tendencies for the next Runge-Kutta step
	797	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	798	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	799	DO k = nzb+1, nzt
[1875]	800	tsa_m(k,j,i) = tend(k,j,i)
	801	ENDDO
	802	ELSEIF ( intermediate_timestep_count < &
	803	intermediate_timestep_count_max ) THEN
[2232]	804	DO k = nzb+1, nzt
	805	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	806	5.3125_wp * tsa_m(k,j,i)
	807	ENDDO
[1875]	808	ENDIF
	809	ENDIF
	810
	811	!
	812	!-- Calculate density by the equation of state for seawater
	813	CALL eqn_state_seawater( i, j )
	814
	815	ENDIF
	816
	817	!
[1960]	818	!-- If required, compute prognostic equation for total water content
	819	IF ( humidity ) THEN
[1875]	820
	821	!
	822	!-- Tendency-terms for total water content / scalar
	823	tend(:,j,i) = 0.0_wp
	824	IF ( timestep_scheme(1:5) == 'runge' ) &
	825	THEN
	826	IF ( ws_scheme_sca ) THEN
[2155]	827	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	828	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	829	ELSE
[1875]	830	CALL advec_s_pw( i, j, q )
	831	ENDIF
	832	ELSE
	833	CALL advec_s_up( i, j, q )
	834	ENDIF
[2232]	835	CALL diffusion_s( i, j, q, &
	836	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	837	surf_def_h(2)%qsws, &
	838	surf_lsm_h%qsws, surf_usm_h%qsws, &
	839	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	840	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	841	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	842	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	843	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	844	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[1875]	845
	846	!
[1960]	847	!-- Sink or source of humidity due to canopy elements
[1875]	848	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	849
	850	!
	851	!-- Large scale advection
	852	IF ( large_scale_forcing ) THEN
	853	CALL ls_advec( i, j, simulated_time, 'q' )
	854	ENDIF
	855
	856	!
	857	!-- Nudging
[2155]	858	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	859
	860	!
	861	!-- If required compute influence of large-scale subsidence/ascent
	862	IF ( large_scale_subsidence .AND. &
	863	.NOT. use_subsidence_tendencies ) THEN
	864	CALL subsidence( i, j, tend, q, q_init, 3 )
	865	ENDIF
	866
	867	CALL user_actions( i, j, 'q-tendency' )
	868
	869	!
	870	!-- Prognostic equation for total water content / scalar
[2232]	871	DO k = nzb+1, nzt
	872	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
	873	( tsc(2) * tend(k,j,i) + &
[1875]	874	tsc(3) * tq_m(k,j,i) ) &
[2232]	875	- tsc(5) * rdf_sc(k) * &
	876	( q(k,j,i) - q_init(k) ) &
	877	) &
	878	* MERGE( 1.0_wp, 0.0_wp, &
	879	BTEST( wall_flags_0(k,j,i), 0 )&
	880	)
[1875]	881	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	882	ENDDO
	883
	884	!
	885	!-- Calculate tendencies for the next Runge-Kutta step
	886	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	887	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	888	DO k = nzb+1, nzt
[1875]	889	tq_m(k,j,i) = tend(k,j,i)
	890	ENDDO
	891	ELSEIF ( intermediate_timestep_count < &
	892	intermediate_timestep_count_max ) THEN
[2232]	893	DO k = nzb+1, nzt
	894	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	895	5.3125_wp * tq_m(k,j,i)
[1875]	896	ENDDO
	897	ENDIF
	898	ENDIF
	899
	900	!
[2292]	901	!-- If required, calculate prognostic equations for cloud water content
	902	!-- and cloud drop concentration
	903	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	904	!
	905	!-- Calculate prognostic equation for cloud water content
	906	tend(:,j,i) = 0.0_wp
	907	IF ( timestep_scheme(1:5) == 'runge' ) &
	908	THEN
	909	IF ( ws_scheme_sca ) THEN
	910	CALL advec_s_ws( i, j, qc, 'qc', flux_s_qc, &
	911	diss_s_qc, flux_l_qc, diss_l_qc, &
	912	i_omp_start, tn )
	913	ELSE
	914	CALL advec_s_pw( i, j, qc )
	915	ENDIF
	916	ELSE
	917	CALL advec_s_up( i, j, qc )
	918	ENDIF
	919	CALL diffusion_s( i, j, qc, &
	920	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	921	surf_def_h(2)%qcsws, &
	922	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	923	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	924	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	925	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	926	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	927	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	928	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	929
	930	!
	931	!-- Prognostic equation for cloud water content
	932	DO k = nzb+1, nzt
	933	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * &
	934	( tsc(2) * tend(k,j,i) + &
	935	tsc(3) * tqc_m(k,j,i) )&
	936	- tsc(5) * rdf_sc(k) &
	937	* qc(k,j,i) &
	938	) &
	939	* MERGE( 1.0_wp, 0.0_wp, &
	940	BTEST( wall_flags_0(k,j,i), 0 )&
	941	)
	942	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	943	ENDDO
	944	!
	945	!-- Calculate tendencies for the next Runge-Kutta step
	946	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	947	IF ( intermediate_timestep_count == 1 ) THEN
	948	DO k = nzb+1, nzt
	949	tqc_m(k,j,i) = tend(k,j,i)
	950	ENDDO
	951	ELSEIF ( intermediate_timestep_count < &
	952	intermediate_timestep_count_max ) THEN
	953	DO k = nzb+1, nzt
	954	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	955	5.3125_wp * tqc_m(k,j,i)
	956	ENDDO
	957	ENDIF
	958	ENDIF
	959
	960	!
	961	!-- Calculate prognostic equation for cloud drop concentration.
	962	tend(:,j,i) = 0.0_wp
	963	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	964	IF ( ws_scheme_sca ) THEN
	965	CALL advec_s_ws( i, j, nc, 'nc', flux_s_nc, &
	966	diss_s_nc, flux_l_nc, diss_l_nc, &
	967	i_omp_start, tn )
	968	ELSE
	969	CALL advec_s_pw( i, j, nc )
	970	ENDIF
	971	ELSE
	972	CALL advec_s_up( i, j, nc )
	973	ENDIF
	974	CALL diffusion_s( i, j, nc, &
	975	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	976	surf_def_h(2)%ncsws, &
	977	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	978	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	979	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	980	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	981	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	982	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	983	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	984
	985	!
	986	!-- Prognostic equation for cloud drop concentration
	987	DO k = nzb+1, nzt
	988	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * &
	989	( tsc(2) * tend(k,j,i) + &
	990	tsc(3) * tnc_m(k,j,i) )&
	991	- tsc(5) * rdf_sc(k) &
	992	* nc(k,j,i) &
	993	) &
	994	* MERGE( 1.0_wp, 0.0_wp, &
	995	BTEST( wall_flags_0(k,j,i), 0 )&
	996	)
	997	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	998	ENDDO
	999	!
	1000	!-- Calculate tendencies for the next Runge-Kutta step
	1001	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1002	IF ( intermediate_timestep_count == 1 ) THEN
	1003	DO k = nzb+1, nzt
	1004	tnc_m(k,j,i) = tend(k,j,i)
	1005	ENDDO
	1006	ELSEIF ( intermediate_timestep_count < &
	1007	intermediate_timestep_count_max ) THEN
	1008	DO k = nzb+1, nzt
	1009	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1010	5.3125_wp * tnc_m(k,j,i)
	1011	ENDDO
	1012	ENDIF
	1013	ENDIF
	1014
	1015	ENDIF
	1016	!
[2155]	1017	!-- If required, calculate prognostic equations for rain water content
[1875]	1018	!-- and rain drop concentration
	1019	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1020	!
	1021	!-- Calculate prognostic equation for rain water content
	1022	tend(:,j,i) = 0.0_wp
	1023	IF ( timestep_scheme(1:5) == 'runge' ) &
	1024	THEN
	1025	IF ( ws_scheme_sca ) THEN
[2155]	1026	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	1027	diss_s_qr, flux_l_qr, diss_l_qr, &
	1028	i_omp_start, tn )
[2155]	1029	ELSE
[1875]	1030	CALL advec_s_pw( i, j, qr )
	1031	ENDIF
	1032	ELSE
	1033	CALL advec_s_up( i, j, qr )
	1034	ENDIF
[2232]	1035	CALL diffusion_s( i, j, qr, &
	1036	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	1037	surf_def_h(2)%qrsws, &
	1038	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	1039	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	1040	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	1041	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	1042	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	1043	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	1044	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	1045
	1046	!
	1047	!-- Prognostic equation for rain water content
[2232]	1048	DO k = nzb+1, nzt
	1049	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * &
	1050	( tsc(2) * tend(k,j,i) + &
	1051	tsc(3) * tqr_m(k,j,i) )&
	1052	- tsc(5) * rdf_sc(k) &
	1053	* qr(k,j,i) &
	1054	) &
	1055	* MERGE( 1.0_wp, 0.0_wp, &
	1056	BTEST( wall_flags_0(k,j,i), 0 )&
	1057	)
[1875]	1058	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1059	ENDDO
	1060	!
	1061	!-- Calculate tendencies for the next Runge-Kutta step
	1062	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1063	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1064	DO k = nzb+1, nzt
[1875]	1065	tqr_m(k,j,i) = tend(k,j,i)
	1066	ENDDO
	1067	ELSEIF ( intermediate_timestep_count < &
	1068	intermediate_timestep_count_max ) THEN
[2232]	1069	DO k = nzb+1, nzt
	1070	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1071	5.3125_wp * tqr_m(k,j,i)
[1875]	1072	ENDDO
	1073	ENDIF
	1074	ENDIF
	1075
	1076	!
	1077	!-- Calculate prognostic equation for rain drop concentration.
	1078	tend(:,j,i) = 0.0_wp
	1079	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1080	IF ( ws_scheme_sca ) THEN
[2155]	1081	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	1082	diss_s_nr, flux_l_nr, diss_l_nr, &
	1083	i_omp_start, tn )
[2155]	1084	ELSE
[1875]	1085	CALL advec_s_pw( i, j, nr )
	1086	ENDIF
	1087	ELSE
	1088	CALL advec_s_up( i, j, nr )
	1089	ENDIF
[2232]	1090	CALL diffusion_s( i, j, nr, &
	1091	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	1092	surf_def_h(2)%nrsws, &
	1093	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	1094	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	1095	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	1096	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	1097	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	1098	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	1099	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	1100
	1101	!
	1102	!-- Prognostic equation for rain drop concentration
[2232]	1103	DO k = nzb+1, nzt
	1104	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * &
	1105	( tsc(2) * tend(k,j,i) + &
	1106	tsc(3) * tnr_m(k,j,i) )&
	1107	- tsc(5) * rdf_sc(k) &
	1108	* nr(k,j,i) &
	1109	) &
	1110	* MERGE( 1.0_wp, 0.0_wp, &
	1111	BTEST( wall_flags_0(k,j,i), 0 )&
	1112	)
[1875]	1113	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1114	ENDDO
	1115	!
	1116	!-- Calculate tendencies for the next Runge-Kutta step
	1117	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1118	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1119	DO k = nzb+1, nzt
[1875]	1120	tnr_m(k,j,i) = tend(k,j,i)
	1121	ENDDO
	1122	ELSEIF ( intermediate_timestep_count < &
	1123	intermediate_timestep_count_max ) THEN
[2232]	1124	DO k = nzb+1, nzt
	1125	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1126	5.3125_wp * tnr_m(k,j,i)
[1875]	1127	ENDDO
	1128	ENDIF
	1129	ENDIF
	1130
	1131	ENDIF
	1132
	1133	ENDIF
[2155]	1134
[1960]	1135	!
	1136	!-- If required, compute prognostic equation for scalar
	1137	IF ( passive_scalar ) THEN
	1138	!
	1139	!-- Tendency-terms for total water content / scalar
	1140	tend(:,j,i) = 0.0_wp
	1141	IF ( timestep_scheme(1:5) == 'runge' ) &
	1142	THEN
	1143	IF ( ws_scheme_sca ) THEN
[2155]	1144	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	1145	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	1146	ELSE
[1960]	1147	CALL advec_s_pw( i, j, s )
	1148	ENDIF
	1149	ELSE
	1150	CALL advec_s_up( i, j, s )
	1151	ENDIF
[2232]	1152	CALL diffusion_s( i, j, s, &
	1153	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	1154	surf_def_h(2)%ssws, &
	1155	surf_lsm_h%ssws, surf_usm_h%ssws, &
	1156	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	1157	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	1158	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	1159	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	1160	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	1161	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[1875]	1162
	1163	!
[1960]	1164	!-- Sink or source of scalar concentration due to canopy elements
	1165	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	1166
	1167	!
	1168	!-- Large scale advection, still need to be extended for scalars
	1169	! IF ( large_scale_forcing ) THEN
	1170	! CALL ls_advec( i, j, simulated_time, 's' )
	1171	! ENDIF
	1172
	1173	!
	1174	!-- Nudging, still need to be extended for scalars
[2155]	1175	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	1176
	1177	!
	1178	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	1179	!-- Note, the last argument is of no meaning in this case, as it is
	1180	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	1181	!-- date not implemented for scalars.
	1182	IF ( large_scale_subsidence .AND. &
	1183	.NOT. use_subsidence_tendencies .AND. &
	1184	.NOT. large_scale_forcing ) THEN
	1185	CALL subsidence( i, j, tend, s, s_init, 3 )
	1186	ENDIF
	1187
	1188	CALL user_actions( i, j, 's-tendency' )
	1189
	1190	!
	1191	!-- Prognostic equation for scalar
[2232]	1192	DO k = nzb+1, nzt
	1193	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
	1194	( tsc(2) * tend(k,j,i) + &
	1195	tsc(3) * ts_m(k,j,i) ) &
	1196	- tsc(5) * rdf_sc(k) &
	1197	* ( s(k,j,i) - s_init(k) )&
	1198	) &
	1199	* MERGE( 1.0_wp, 0.0_wp, &
	1200	BTEST( wall_flags_0(k,j,i), 0 )&
	1201	)
[1960]	1202	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1203	ENDDO
	1204
	1205	!
	1206	!-- Calculate tendencies for the next Runge-Kutta step
	1207	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1208	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1209	DO k = nzb+1, nzt
[1960]	1210	ts_m(k,j,i) = tend(k,j,i)
	1211	ENDDO
	1212	ELSEIF ( intermediate_timestep_count < &
	1213	intermediate_timestep_count_max ) THEN
[2232]	1214	DO k = nzb+1, nzt
	1215	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1216	5.3125_wp * ts_m(k,j,i)
[1960]	1217	ENDDO
	1218	ENDIF
	1219	ENDIF
	1220
[2155]	1221	ENDIF
[1960]	1222	!
[2155]	1223	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	1224	!-- energy (TKE)
	1225	IF ( .NOT. constant_diffusion ) THEN
	1226
	1227	!
	1228	!-- Tendency-terms for TKE
	1229	tend(:,j,i) = 0.0_wp
	1230	IF ( timestep_scheme(1:5) == 'runge' &
[2155]	1231	.AND. .NOT. use_upstream_for_tke ) THEN
[1875]	1232	IF ( ws_scheme_sca ) THEN
	1233	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	1234	flux_l_e, diss_l_e , i_omp_start, tn )
	1235	ELSE
	1236	CALL advec_s_pw( i, j, e )
	1237	ENDIF
	1238	ELSE
	1239	CALL advec_s_up( i, j, e )
	1240	ENDIF
	1241	IF ( .NOT. humidity ) THEN
	1242	IF ( ocean ) THEN
	1243	CALL diffusion_e( i, j, prho, prho_reference )
	1244	ELSE
	1245	CALL diffusion_e( i, j, pt, pt_reference )
	1246	ENDIF
	1247	ELSE
	1248	CALL diffusion_e( i, j, vpt, pt_reference )
	1249	ENDIF
	1250	CALL production_e( i, j )
	1251
	1252	!
	1253	!-- Additional sink term for flows through plant canopies
[2155]	1254	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
[1875]	1255
	1256	CALL user_actions( i, j, 'e-tendency' )
	1257
	1258	!
	1259	!-- Prognostic equation for TKE.
	1260	!-- Eliminate negative TKE values, which can occur due to numerical
	1261	!-- reasons in the course of the integration. In such cases the old
	1262	!-- TKE value is reduced by 90%.
[2232]	1263	DO k = nzb+1, nzt
	1264	e_p(k,j,i) = e(k,j,i) + ( dt_3d * &
	1265	( tsc(2) * tend(k,j,i) + &
	1266	tsc(3) * te_m(k,j,i) ) &
	1267	) &
	1268	* MERGE( 1.0_wp, 0.0_wp, &
	1269	BTEST( wall_flags_0(k,j,i), 0 )&
	1270	)
[1875]	1271	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1272	ENDDO
	1273
	1274	!
	1275	!-- Calculate tendencies for the next Runge-Kutta step
	1276	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1277	IF ( intermediate_timestep_count == 1 ) THEN
[2232]	1278	DO k = nzb+1, nzt
[1875]	1279	te_m(k,j,i) = tend(k,j,i)
	1280	ENDDO
	1281	ELSEIF ( intermediate_timestep_count < &
	1282	intermediate_timestep_count_max ) THEN
[2232]	1283	DO k = nzb+1, nzt
	1284	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1285	5.3125_wp * te_m(k,j,i)
[1875]	1286	ENDDO
	1287	ENDIF
	1288	ENDIF
	1289
	1290	ENDIF ! TKE equation
	1291
	1292	ENDDO
	1293	ENDDO
[2192]	1294	!$OMP END PARALLEL
[1875]	1295
[2232]	1296
	1297
	1298
[1875]	1299	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1300
	1301
	1302	END SUBROUTINE prognostic_equations_cache
	1303
	1304
	1305	!------------------------------------------------------------------------------!
	1306	! Description:
	1307	! ------------
	1308	!> Version for vector machines
	1309	!------------------------------------------------------------------------------!
[2155]	1310
[1875]	1311	SUBROUTINE prognostic_equations_vector
	1312
	1313
	1314	IMPLICIT NONE
	1315
	1316	INTEGER(iwp) :: i !<
	1317	INTEGER(iwp) :: j !<
	1318	INTEGER(iwp) :: k !<
	1319
	1320	REAL(wp) :: sbt !<
	1321
	1322
	1323	!
	1324	!-- If required, calculate cloud microphysical impacts
	1325	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1326	( intermediate_timestep_count == 1 .OR. &
	1327	call_microphysics_at_all_substeps ) &
	1328	) THEN
	1329	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1330	CALL microphysics_control
	1331	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1332	ENDIF
	1333
	1334	!
	1335	!-- u-velocity component
	1336	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1337
	1338	tend = 0.0_wp
	1339	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1340	IF ( ws_scheme_mom ) THEN
	1341	CALL advec_u_ws
	1342	ELSE
	1343	CALL advec_u_pw
	1344	ENDIF
	1345	ELSE
	1346	CALL advec_u_up
	1347	ENDIF
	1348	CALL diffusion_u
	1349	CALL coriolis( 1 )
	1350	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1351	CALL buoyancy( pt, 1 )
	1352	ENDIF
	1353
	1354	!
	1355	!-- Drag by plant canopy
	1356	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1357
	1358	!
	1359	!-- External pressure gradient
	1360	IF ( dp_external ) THEN
	1361	DO i = nxlu, nxr
	1362	DO j = nys, nyn
	1363	DO k = dp_level_ind_b+1, nzt
	1364	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1365	ENDDO
	1366	ENDDO
	1367	ENDDO
	1368	ENDIF
	1369
	1370	!
	1371	!-- Nudging
	1372	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1373
[1914]	1374	!
	1375	!-- Forces by wind turbines
	1376	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1377
[1875]	1378	CALL user_actions( 'u-tendency' )
	1379
	1380	!
	1381	!-- Prognostic equation for u-velocity component
	1382	DO i = nxlu, nxr
	1383	DO j = nys, nyn
[2232]	1384	DO k = nzb+1, nzt
	1385	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1386	tsc(3) * tu_m(k,j,i) ) &
	1387	- tsc(5) * rdf(k) * &
	1388	( u(k,j,i) - u_init(k) ) &
	1389	) * MERGE( 1.0_wp, 0.0_wp, &
	1390	BTEST( wall_flags_0(k,j,i), 1 ) &
	1391	)
[1875]	1392	ENDDO
	1393	ENDDO
	1394	ENDDO
	1395
	1396	!
	1397	!-- Calculate tendencies for the next Runge-Kutta step
	1398	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1399	IF ( intermediate_timestep_count == 1 ) THEN
	1400	DO i = nxlu, nxr
	1401	DO j = nys, nyn
[2232]	1402	DO k = nzb+1, nzt
[1875]	1403	tu_m(k,j,i) = tend(k,j,i)
	1404	ENDDO
	1405	ENDDO
	1406	ENDDO
	1407	ELSEIF ( intermediate_timestep_count < &
	1408	intermediate_timestep_count_max ) THEN
	1409	DO i = nxlu, nxr
	1410	DO j = nys, nyn
[2232]	1411	DO k = nzb+1, nzt
	1412	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1413	+ 5.3125_wp * tu_m(k,j,i)
[1875]	1414	ENDDO
	1415	ENDDO
	1416	ENDDO
	1417	ENDIF
	1418	ENDIF
	1419
	1420	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1421
	1422	!
	1423	!-- v-velocity component
	1424	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1425
	1426	tend = 0.0_wp
	1427	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1428	IF ( ws_scheme_mom ) THEN
	1429	CALL advec_v_ws
[2155]	1430	ELSE
[1875]	1431	CALL advec_v_pw
	1432	END IF
	1433	ELSE
	1434	CALL advec_v_up
	1435	ENDIF
	1436	CALL diffusion_v
	1437	CALL coriolis( 2 )
	1438
	1439	!
	1440	!-- Drag by plant canopy
	1441	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1442
	1443	!
	1444	!-- External pressure gradient
	1445	IF ( dp_external ) THEN
	1446	DO i = nxl, nxr
	1447	DO j = nysv, nyn
	1448	DO k = dp_level_ind_b+1, nzt
	1449	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1450	ENDDO
	1451	ENDDO
	1452	ENDDO
	1453	ENDIF
	1454
	1455	!
	1456	!-- Nudging
	1457	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1458
[1914]	1459	!
	1460	!-- Forces by wind turbines
	1461	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1462
[1875]	1463	CALL user_actions( 'v-tendency' )
	1464
	1465	!
	1466	!-- Prognostic equation for v-velocity component
	1467	DO i = nxl, nxr
	1468	DO j = nysv, nyn
[2232]	1469	DO k = nzb+1, nzt
	1470	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1471	tsc(3) * tv_m(k,j,i) ) &
	1472	- tsc(5) * rdf(k) * &
	1473	( v(k,j,i) - v_init(k) ) &
	1474	) * MERGE( 1.0_wp, 0.0_wp, &
	1475	BTEST( wall_flags_0(k,j,i), 2 )&
	1476	)
[1875]	1477	ENDDO
	1478	ENDDO
	1479	ENDDO
	1480
	1481	!
	1482	!-- Calculate tendencies for the next Runge-Kutta step
	1483	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1484	IF ( intermediate_timestep_count == 1 ) THEN
	1485	DO i = nxl, nxr
	1486	DO j = nysv, nyn
[2232]	1487	DO k = nzb+1, nzt
[1875]	1488	tv_m(k,j,i) = tend(k,j,i)
	1489	ENDDO
	1490	ENDDO
	1491	ENDDO
	1492	ELSEIF ( intermediate_timestep_count < &
	1493	intermediate_timestep_count_max ) THEN
	1494	DO i = nxl, nxr
	1495	DO j = nysv, nyn
[2232]	1496	DO k = nzb+1, nzt
	1497	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1498	+ 5.3125_wp * tv_m(k,j,i)
[1875]	1499	ENDDO
	1500	ENDDO
	1501	ENDDO
	1502	ENDIF
	1503	ENDIF
	1504
	1505	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1506
	1507	!
	1508	!-- w-velocity component
	1509	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1510
	1511	tend = 0.0_wp
	1512	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1513	IF ( ws_scheme_mom ) THEN
	1514	CALL advec_w_ws
	1515	ELSE
	1516	CALL advec_w_pw
	1517	ENDIF
	1518	ELSE
	1519	CALL advec_w_up
	1520	ENDIF
	1521	CALL diffusion_w
	1522	CALL coriolis( 3 )
	1523
	1524	IF ( .NOT. neutral ) THEN
	1525	IF ( ocean ) THEN
[2031]	1526	CALL buoyancy( rho_ocean, 3 )
[1875]	1527	ELSE
	1528	IF ( .NOT. humidity ) THEN
	1529	CALL buoyancy( pt, 3 )
	1530	ELSE
	1531	CALL buoyancy( vpt, 3 )
	1532	ENDIF
	1533	ENDIF
	1534	ENDIF
	1535
	1536	!
	1537	!-- Drag by plant canopy
	1538	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1539
[1914]	1540	!
	1541	!-- Forces by wind turbines
	1542	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1543
[1875]	1544	CALL user_actions( 'w-tendency' )
	1545
	1546	!
	1547	!-- Prognostic equation for w-velocity component
	1548	DO i = nxl, nxr
	1549	DO j = nys, nyn
[2232]	1550	DO k = nzb+1, nzt-1
	1551	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
	1552	tsc(3) * tw_m(k,j,i) ) &
	1553	- tsc(5) * rdf(k) * w(k,j,i) &
	1554	) * MERGE( 1.0_wp, 0.0_wp, &
	1555	BTEST( wall_flags_0(k,j,i), 3 )&
	1556	)
[1875]	1557	ENDDO
	1558	ENDDO
	1559	ENDDO
	1560
	1561	!
	1562	!-- Calculate tendencies for the next Runge-Kutta step
	1563	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1564	IF ( intermediate_timestep_count == 1 ) THEN
	1565	DO i = nxl, nxr
	1566	DO j = nys, nyn
[2232]	1567	DO k = nzb+1, nzt-1
[1875]	1568	tw_m(k,j,i) = tend(k,j,i)
	1569	ENDDO
	1570	ENDDO
	1571	ENDDO
	1572	ELSEIF ( intermediate_timestep_count < &
	1573	intermediate_timestep_count_max ) THEN
	1574	DO i = nxl, nxr
	1575	DO j = nys, nyn
[2232]	1576	DO k = nzb+1, nzt-1
	1577	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1578	+ 5.3125_wp * tw_m(k,j,i)
[1875]	1579	ENDDO
	1580	ENDDO
	1581	ENDDO
	1582	ENDIF
	1583	ENDIF
	1584
	1585	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1586
	1587
	1588	!
	1589	!-- If required, compute prognostic equation for potential temperature
	1590	IF ( .NOT. neutral ) THEN
	1591
	1592	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1593
	1594	!
	1595	!-- pt-tendency terms with communication
	1596	sbt = tsc(2)
	1597	IF ( scalar_advec == 'bc-scheme' ) THEN
	1598
	1599	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1600	!
	1601	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1602	sbt = 1.0_wp
	1603	ENDIF
	1604	tend = 0.0_wp
	1605	CALL advec_s_bc( pt, 'pt' )
	1606
	1607	ENDIF
	1608
	1609	!
	1610	!-- pt-tendency terms with no communication
	1611	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1612	tend = 0.0_wp
	1613	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1614	IF ( ws_scheme_sca ) THEN
	1615	CALL advec_s_ws( pt, 'pt' )
	1616	ELSE
	1617	CALL advec_s_pw( pt )
	1618	ENDIF
	1619	ELSE
	1620	CALL advec_s_up( pt )
	1621	ENDIF
	1622	ENDIF
	1623
[2232]	1624	CALL diffusion_s( pt, &
	1625	surf_def_h(0)%shf, surf_def_h(1)%shf, &
	1626	surf_def_h(2)%shf, &
	1627	surf_lsm_h%shf, surf_usm_h%shf, &
	1628	surf_def_v(0)%shf, surf_def_v(1)%shf, &
	1629	surf_def_v(2)%shf, surf_def_v(3)%shf, &
	1630	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
	1631	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
	1632	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
	1633	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
[1875]	1634	!
	1635	!-- If required compute heating/cooling due to long wave radiation processes
	1636	IF ( cloud_top_radiation ) THEN
	1637	CALL calc_radiation
	1638	ENDIF
	1639
	1640	!
	1641	!-- Consideration of heat sources within the plant canopy
	1642	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1643	CALL pcm_tendency( 4 )
	1644	ENDIF
	1645
	1646	!
	1647	!-- Large scale advection
	1648	IF ( large_scale_forcing ) THEN
	1649	CALL ls_advec( simulated_time, 'pt' )
	1650	ENDIF
	1651
	1652	!
	1653	!-- Nudging
[2155]	1654	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1655
	1656	!
	1657	!-- If required compute influence of large-scale subsidence/ascent
	1658	IF ( large_scale_subsidence .AND. &
	1659	.NOT. use_subsidence_tendencies ) THEN
	1660	CALL subsidence( tend, pt, pt_init, 2 )
	1661	ENDIF
	1662
	1663	!
	1664	!-- If required, add tendency due to radiative heating/cooling
[1976]	1665	IF ( radiation .AND. &
[1875]	1666	simulated_time > skip_time_do_radiation ) THEN
	1667	CALL radiation_tendency ( tend )
	1668	ENDIF
	1669
	1670	CALL user_actions( 'pt-tendency' )
	1671
	1672	!
	1673	!-- Prognostic equation for potential temperature
	1674	DO i = nxl, nxr
	1675	DO j = nys, nyn
[2232]	1676	DO k = nzb+1, nzt
	1677	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1678	tsc(3) * tpt_m(k,j,i) ) &
	1679	- tsc(5) * &
	1680	( pt(k,j,i) - pt_init(k) ) *&
	1681	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
	1682	) &
	1683	* MERGE( 1.0_wp, 0.0_wp, &
	1684	BTEST( wall_flags_0(k,j,i), 0 ) &
	1685	)
[1875]	1686	ENDDO
	1687	ENDDO
	1688	ENDDO
	1689
	1690	!
	1691	!-- Calculate tendencies for the next Runge-Kutta step
	1692	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1693	IF ( intermediate_timestep_count == 1 ) THEN
	1694	DO i = nxl, nxr
	1695	DO j = nys, nyn
[2232]	1696	DO k = nzb+1, nzt
[1875]	1697	tpt_m(k,j,i) = tend(k,j,i)
	1698	ENDDO
	1699	ENDDO
	1700	ENDDO
	1701	ELSEIF ( intermediate_timestep_count < &
	1702	intermediate_timestep_count_max ) THEN
	1703	DO i = nxl, nxr
	1704	DO j = nys, nyn
[2232]	1705	DO k = nzb+1, nzt
	1706	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1707	5.3125_wp * tpt_m(k,j,i)
[1875]	1708	ENDDO
	1709	ENDDO
	1710	ENDDO
	1711	ENDIF
	1712	ENDIF
	1713
	1714	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1715
	1716	ENDIF
	1717
	1718	!
	1719	!-- If required, compute prognostic equation for salinity
	1720	IF ( ocean ) THEN
	1721
	1722	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1723
	1724	!
	1725	!-- sa-tendency terms with communication
	1726	sbt = tsc(2)
	1727	IF ( scalar_advec == 'bc-scheme' ) THEN
	1728
	1729	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1730	!
	1731	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1732	sbt = 1.0_wp
	1733	ENDIF
	1734	tend = 0.0_wp
	1735	CALL advec_s_bc( sa, 'sa' )
	1736
	1737	ENDIF
	1738
	1739	!
	1740	!-- sa-tendency terms with no communication
	1741	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1742	tend = 0.0_wp
	1743	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1744	IF ( ws_scheme_sca ) THEN
	1745	CALL advec_s_ws( sa, 'sa' )
	1746	ELSE
	1747	CALL advec_s_pw( sa )
	1748	ENDIF
	1749	ELSE
	1750	CALL advec_s_up( sa )
	1751	ENDIF
	1752	ENDIF
	1753
[2232]	1754	CALL diffusion_s( sa, &
	1755	surf_def_h(0)%sasws, surf_def_h(1)%sasws, &
	1756	surf_def_h(2)%sasws, &
	1757	surf_lsm_h%sasws, surf_usm_h%sasws, &
	1758	surf_def_v(0)%sasws, surf_def_v(1)%sasws, &
	1759	surf_def_v(2)%sasws, surf_def_v(3)%sasws, &
	1760	surf_lsm_v(0)%sasws, surf_lsm_v(1)%sasws, &
	1761	surf_lsm_v(2)%sasws, surf_lsm_v(3)%sasws, &
	1762	surf_usm_v(0)%sasws, surf_usm_v(1)%sasws, &
	1763	surf_usm_v(2)%sasws, surf_usm_v(3)%sasws )
[2155]	1764
[1875]	1765	CALL user_actions( 'sa-tendency' )
	1766
	1767	!
	1768	!-- Prognostic equation for salinity
	1769	DO i = nxl, nxr
	1770	DO j = nys, nyn
[2232]	1771	DO k = nzb+1, nzt
	1772	sa_p(k,j,i) = sa(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1773	tsc(3) * tsa_m(k,j,i) ) &
	1774	- tsc(5) * rdf_sc(k) * &
	1775	( sa(k,j,i) - sa_init(k) ) &
	1776	) &
	1777	* MERGE( 1.0_wp, 0.0_wp, &
	1778	BTEST( wall_flags_0(k,j,i), 0 ) &
	1779	)
[1875]	1780	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1781	ENDDO
	1782	ENDDO
	1783	ENDDO
	1784
	1785	!
	1786	!-- Calculate tendencies for the next Runge-Kutta step
	1787	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1788	IF ( intermediate_timestep_count == 1 ) THEN
	1789	DO i = nxl, nxr
	1790	DO j = nys, nyn
[2232]	1791	DO k = nzb+1, nzt
[1875]	1792	tsa_m(k,j,i) = tend(k,j,i)
	1793	ENDDO
	1794	ENDDO
	1795	ENDDO
	1796	ELSEIF ( intermediate_timestep_count < &
	1797	intermediate_timestep_count_max ) THEN
	1798	DO i = nxl, nxr
	1799	DO j = nys, nyn
[2232]	1800	DO k = nzb+1, nzt
	1801	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1802	5.3125_wp * tsa_m(k,j,i)
[1875]	1803	ENDDO
	1804	ENDDO
	1805	ENDDO
	1806	ENDIF
	1807	ENDIF
	1808
	1809	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1810
	1811	!
	1812	!-- Calculate density by the equation of state for seawater
	1813	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1814	CALL eqn_state_seawater
	1815	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1816
	1817	ENDIF
	1818
	1819	!
[1960]	1820	!-- If required, compute prognostic equation for total water content
	1821	IF ( humidity ) THEN
[1875]	1822
[1960]	1823	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1824
	1825	!
	1826	!-- Scalar/q-tendency terms with communication
	1827	sbt = tsc(2)
	1828	IF ( scalar_advec == 'bc-scheme' ) THEN
	1829
	1830	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1831	!
	1832	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1833	sbt = 1.0_wp
	1834	ENDIF
	1835	tend = 0.0_wp
	1836	CALL advec_s_bc( q, 'q' )
	1837
	1838	ENDIF
	1839
	1840	!
	1841	!-- Scalar/q-tendency terms with no communication
	1842	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1843	tend = 0.0_wp
	1844	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1845	IF ( ws_scheme_sca ) THEN
	1846	CALL advec_s_ws( q, 'q' )
	1847	ELSE
	1848	CALL advec_s_pw( q )
	1849	ENDIF
	1850	ELSE
	1851	CALL advec_s_up( q )
	1852	ENDIF
	1853	ENDIF
	1854
[2232]	1855	CALL diffusion_s( q, &
	1856	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
	1857	surf_def_h(2)%qsws, &
	1858	surf_lsm_h%qsws, surf_usm_h%qsws, &
	1859	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
	1860	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
	1861	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
	1862	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
	1863	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
	1864	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
[2155]	1865
[1875]	1866	!
[1960]	1867	!-- Sink or source of humidity due to canopy elements
[1875]	1868	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1869
	1870	!
	1871	!-- Large scale advection
	1872	IF ( large_scale_forcing ) THEN
	1873	CALL ls_advec( simulated_time, 'q' )
	1874	ENDIF
	1875
	1876	!
	1877	!-- Nudging
[2155]	1878	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1879
	1880	!
	1881	!-- If required compute influence of large-scale subsidence/ascent
	1882	IF ( large_scale_subsidence .AND. &
	1883	.NOT. use_subsidence_tendencies ) THEN
	1884	CALL subsidence( tend, q, q_init, 3 )
	1885	ENDIF
	1886
	1887	CALL user_actions( 'q-tendency' )
	1888
	1889	!
[1960]	1890	!-- Prognostic equation for total water content
[1875]	1891	DO i = nxl, nxr
	1892	DO j = nys, nyn
[2232]	1893	DO k = nzb+1, nzt
	1894	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1895	tsc(3) * tq_m(k,j,i) ) &
	1896	- tsc(5) * rdf_sc(k) * &
	1897	( q(k,j,i) - q_init(k) ) &
	1898	) * MERGE( 1.0_wp, 0.0_wp, &
	1899	BTEST( wall_flags_0(k,j,i), 0 ) &
	1900	)
[1875]	1901	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1902	ENDDO
	1903	ENDDO
	1904	ENDDO
	1905
	1906	!
	1907	!-- Calculate tendencies for the next Runge-Kutta step
	1908	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1909	IF ( intermediate_timestep_count == 1 ) THEN
	1910	DO i = nxl, nxr
	1911	DO j = nys, nyn
[2232]	1912	DO k = nzb+1, nzt
[1875]	1913	tq_m(k,j,i) = tend(k,j,i)
	1914	ENDDO
	1915	ENDDO
	1916	ENDDO
	1917	ELSEIF ( intermediate_timestep_count < &
	1918	intermediate_timestep_count_max ) THEN
	1919	DO i = nxl, nxr
	1920	DO j = nys, nyn
[2232]	1921	DO k = nzb+1, nzt
	1922	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	1923	+ 5.3125_wp * tq_m(k,j,i)
[1875]	1924	ENDDO
	1925	ENDDO
	1926	ENDDO
	1927	ENDIF
	1928	ENDIF
	1929
[1960]	1930	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1931
	1932	!
[2292]	1933	!-- If required, calculate prognostic equations for cloud water content
	1934	!-- and cloud drop concentration
	1935	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	1936
	1937	CALL cpu_log( log_point(67), 'qc-equation', 'start' )
	1938
	1939	!
	1940	!-- Calculate prognostic equation for cloud water content
	1941	sbt = tsc(2)
	1942	IF ( scalar_advec == 'bc-scheme' ) THEN
	1943
	1944	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1945	!
	1946	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1947	sbt = 1.0_wp
	1948	ENDIF
	1949	tend = 0.0_wp
	1950	CALL advec_s_bc( qc, 'qc' )
	1951
	1952	ENDIF
	1953
	1954	!
	1955	!-- qc-tendency terms with no communication
	1956	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1957	tend = 0.0_wp
	1958	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1959	IF ( ws_scheme_sca ) THEN
	1960	CALL advec_s_ws( qc, 'qc' )
	1961	ELSE
	1962	CALL advec_s_pw( qc )
	1963	ENDIF
	1964	ELSE
	1965	CALL advec_s_up( qc )
	1966	ENDIF
	1967	ENDIF
	1968
	1969	CALL diffusion_s( qc, &
	1970	surf_def_h(0)%qcsws, surf_def_h(1)%qcsws, &
	1971	surf_def_h(2)%qcsws, &
	1972	surf_lsm_h%qcsws, surf_usm_h%qcsws, &
	1973	surf_def_v(0)%qcsws, surf_def_v(1)%qcsws, &
	1974	surf_def_v(2)%qcsws, surf_def_v(3)%qcsws, &
	1975	surf_lsm_v(0)%qcsws, surf_lsm_v(1)%qcsws, &
	1976	surf_lsm_v(2)%qcsws, surf_lsm_v(3)%qcsws, &
	1977	surf_usm_v(0)%qcsws, surf_usm_v(1)%qcsws, &
	1978	surf_usm_v(2)%qcsws, surf_usm_v(3)%qcsws )
	1979
	1980	!
	1981	!-- Prognostic equation for cloud water content
	1982	DO i = nxl, nxr
	1983	DO j = nys, nyn
	1984	DO k = nzb+1, nzt
	1985	qc_p(k,j,i) = qc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	1986	tsc(3) * tqc_m(k,j,i) ) &
	1987	- tsc(5) * rdf_sc(k) * &
	1988	qc(k,j,i) &
	1989	) &
	1990	* MERGE( 1.0_wp, 0.0_wp, &
	1991	BTEST( wall_flags_0(k,j,i), 0 ) &
	1992	)
	1993	IF ( qc_p(k,j,i) < 0.0_wp ) qc_p(k,j,i) = 0.0_wp
	1994	ENDDO
	1995	ENDDO
	1996	ENDDO
	1997
	1998	!
	1999	!-- Calculate tendencies for the next Runge-Kutta step
	2000	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2001	IF ( intermediate_timestep_count == 1 ) THEN
	2002	DO i = nxl, nxr
	2003	DO j = nys, nyn
	2004	DO k = nzb+1, nzt
	2005	tqc_m(k,j,i) = tend(k,j,i)
	2006	ENDDO
	2007	ENDDO
	2008	ENDDO
	2009	ELSEIF ( intermediate_timestep_count < &
	2010	intermediate_timestep_count_max ) THEN
	2011	DO i = nxl, nxr
	2012	DO j = nys, nyn
	2013	DO k = nzb+1, nzt
	2014	tqc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2015	+ 5.3125_wp * tqc_m(k,j,i)
	2016	ENDDO
	2017	ENDDO
	2018	ENDDO
	2019	ENDIF
	2020	ENDIF
	2021
	2022	CALL cpu_log( log_point(67), 'qc-equation', 'stop' )
	2023	CALL cpu_log( log_point(68), 'nc-equation', 'start' )
	2024
	2025	!
	2026	!-- Calculate prognostic equation for cloud drop concentration
	2027	sbt = tsc(2)
	2028	IF ( scalar_advec == 'bc-scheme' ) THEN
	2029
	2030	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2031	!
	2032	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2033	sbt = 1.0_wp
	2034	ENDIF
	2035	tend = 0.0_wp
	2036	CALL advec_s_bc( nc, 'nc' )
	2037
	2038	ENDIF
	2039
	2040	!
	2041	!-- nc-tendency terms with no communication
	2042	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2043	tend = 0.0_wp
	2044	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2045	IF ( ws_scheme_sca ) THEN
	2046	CALL advec_s_ws( nc, 'nc' )
	2047	ELSE
	2048	CALL advec_s_pw( nc )
	2049	ENDIF
	2050	ELSE
	2051	CALL advec_s_up( nc )
	2052	ENDIF
	2053	ENDIF
	2054
	2055	CALL diffusion_s( nc, &
	2056	surf_def_h(0)%ncsws, surf_def_h(1)%ncsws, &
	2057	surf_def_h(2)%ncsws, &
	2058	surf_lsm_h%ncsws, surf_usm_h%ncsws, &
	2059	surf_def_v(0)%ncsws, surf_def_v(1)%ncsws, &
	2060	surf_def_v(2)%ncsws, surf_def_v(3)%ncsws, &
	2061	surf_lsm_v(0)%ncsws, surf_lsm_v(1)%ncsws, &
	2062	surf_lsm_v(2)%ncsws, surf_lsm_v(3)%ncsws, &
	2063	surf_usm_v(0)%ncsws, surf_usm_v(1)%ncsws, &
	2064	surf_usm_v(2)%ncsws, surf_usm_v(3)%ncsws )
	2065
	2066	!
	2067	!-- Prognostic equation for cloud drop concentration
	2068	DO i = nxl, nxr
	2069	DO j = nys, nyn
	2070	DO k = nzb+1, nzt
	2071	nc_p(k,j,i) = nc(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2072	tsc(3) * tnc_m(k,j,i) ) &
	2073	- tsc(5) * rdf_sc(k) * &
	2074	nc(k,j,i) &
	2075	) &
	2076	* MERGE( 1.0_wp, 0.0_wp, &
	2077	BTEST( wall_flags_0(k,j,i), 0 ) &
	2078	)
	2079	IF ( nc_p(k,j,i) < 0.0_wp ) nc_p(k,j,i) = 0.0_wp
	2080	ENDDO
	2081	ENDDO
	2082	ENDDO
	2083
	2084	!
	2085	!-- Calculate tendencies for the next Runge-Kutta step
	2086	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2087	IF ( intermediate_timestep_count == 1 ) THEN
	2088	DO i = nxl, nxr
	2089	DO j = nys, nyn
	2090	DO k = nzb+1, nzt
	2091	tnc_m(k,j,i) = tend(k,j,i)
	2092	ENDDO
	2093	ENDDO
	2094	ENDDO
	2095	ELSEIF ( intermediate_timestep_count < &
	2096	intermediate_timestep_count_max ) THEN
	2097	DO i = nxl, nxr
	2098	DO j = nys, nyn
	2099	DO k = nzb+1, nzt
	2100	tnc_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2101	+ 5.3125_wp * tnc_m(k,j,i)
	2102	ENDDO
	2103	ENDDO
	2104	ENDDO
	2105	ENDIF
	2106	ENDIF
	2107
	2108	CALL cpu_log( log_point(68), 'nc-equation', 'stop' )
	2109
	2110	ENDIF
	2111	!
[2155]	2112	!-- If required, calculate prognostic equations for rain water content
[1875]	2113	!-- and rain drop concentration
	2114	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2115
	2116	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2117
	2118	!
	2119	!-- Calculate prognostic equation for rain water content
	2120	sbt = tsc(2)
	2121	IF ( scalar_advec == 'bc-scheme' ) THEN
	2122
	2123	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2124	!
	2125	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2126	sbt = 1.0_wp
	2127	ENDIF
	2128	tend = 0.0_wp
	2129	CALL advec_s_bc( qr, 'qr' )
	2130
	2131	ENDIF
	2132
	2133	!
	2134	!-- qr-tendency terms with no communication
	2135	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2136	tend = 0.0_wp
	2137	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2138	IF ( ws_scheme_sca ) THEN
	2139	CALL advec_s_ws( qr, 'qr' )
	2140	ELSE
	2141	CALL advec_s_pw( qr )
	2142	ENDIF
	2143	ELSE
	2144	CALL advec_s_up( qr )
	2145	ENDIF
	2146	ENDIF
	2147
[2232]	2148	CALL diffusion_s( qr, &
	2149	surf_def_h(0)%qrsws, surf_def_h(1)%qrsws, &
	2150	surf_def_h(2)%qrsws, &
	2151	surf_lsm_h%qrsws, surf_usm_h%qrsws, &
	2152	surf_def_v(0)%qrsws, surf_def_v(1)%qrsws, &
	2153	surf_def_v(2)%qrsws, surf_def_v(3)%qrsws, &
	2154	surf_lsm_v(0)%qrsws, surf_lsm_v(1)%qrsws, &
	2155	surf_lsm_v(2)%qrsws, surf_lsm_v(3)%qrsws, &
	2156	surf_usm_v(0)%qrsws, surf_usm_v(1)%qrsws, &
	2157	surf_usm_v(2)%qrsws, surf_usm_v(3)%qrsws )
[1875]	2158
	2159	!
	2160	!-- Prognostic equation for rain water content
	2161	DO i = nxl, nxr
	2162	DO j = nys, nyn
[2232]	2163	DO k = nzb+1, nzt
	2164	qr_p(k,j,i) = qr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2165	tsc(3) * tqr_m(k,j,i) ) &
	2166	- tsc(5) * rdf_sc(k) * &
	2167	qr(k,j,i) &
	2168	) &
	2169	* MERGE( 1.0_wp, 0.0_wp, &
	2170	BTEST( wall_flags_0(k,j,i), 0 ) &
	2171	)
[1875]	2172	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2173	ENDDO
	2174	ENDDO
	2175	ENDDO
	2176
	2177	!
	2178	!-- Calculate tendencies for the next Runge-Kutta step
	2179	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2180	IF ( intermediate_timestep_count == 1 ) THEN
	2181	DO i = nxl, nxr
	2182	DO j = nys, nyn
[2232]	2183	DO k = nzb+1, nzt
[1875]	2184	tqr_m(k,j,i) = tend(k,j,i)
	2185	ENDDO
	2186	ENDDO
	2187	ENDDO
	2188	ELSEIF ( intermediate_timestep_count < &
	2189	intermediate_timestep_count_max ) THEN
	2190	DO i = nxl, nxr
	2191	DO j = nys, nyn
[2232]	2192	DO k = nzb+1, nzt
	2193	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2194	+ 5.3125_wp * tqr_m(k,j,i)
[1875]	2195	ENDDO
	2196	ENDDO
	2197	ENDDO
	2198	ENDIF
	2199	ENDIF
	2200
	2201	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2202	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2203
	2204	!
	2205	!-- Calculate prognostic equation for rain drop concentration
	2206	sbt = tsc(2)
	2207	IF ( scalar_advec == 'bc-scheme' ) THEN
	2208
	2209	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2210	!
	2211	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2212	sbt = 1.0_wp
	2213	ENDIF
	2214	tend = 0.0_wp
	2215	CALL advec_s_bc( nr, 'nr' )
	2216
	2217	ENDIF
	2218
	2219	!
	2220	!-- nr-tendency terms with no communication
	2221	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2222	tend = 0.0_wp
	2223	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2224	IF ( ws_scheme_sca ) THEN
	2225	CALL advec_s_ws( nr, 'nr' )
	2226	ELSE
	2227	CALL advec_s_pw( nr )
	2228	ENDIF
	2229	ELSE
	2230	CALL advec_s_up( nr )
	2231	ENDIF
	2232	ENDIF
	2233
[2232]	2234	CALL diffusion_s( nr, &
	2235	surf_def_h(0)%nrsws, surf_def_h(1)%nrsws, &
	2236	surf_def_h(2)%nrsws, &
	2237	surf_lsm_h%nrsws, surf_usm_h%nrsws, &
	2238	surf_def_v(0)%nrsws, surf_def_v(1)%nrsws, &
	2239	surf_def_v(2)%nrsws, surf_def_v(3)%nrsws, &
	2240	surf_lsm_v(0)%nrsws, surf_lsm_v(1)%nrsws, &
	2241	surf_lsm_v(2)%nrsws, surf_lsm_v(3)%nrsws, &
	2242	surf_usm_v(0)%nrsws, surf_usm_v(1)%nrsws, &
	2243	surf_usm_v(2)%nrsws, surf_usm_v(3)%nrsws )
[1875]	2244
	2245	!
	2246	!-- Prognostic equation for rain drop concentration
	2247	DO i = nxl, nxr
	2248	DO j = nys, nyn
[2232]	2249	DO k = nzb+1, nzt
	2250	nr_p(k,j,i) = nr(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2251	tsc(3) * tnr_m(k,j,i) ) &
	2252	- tsc(5) * rdf_sc(k) * &
	2253	nr(k,j,i) &
	2254	) &
	2255	* MERGE( 1.0_wp, 0.0_wp, &
	2256	BTEST( wall_flags_0(k,j,i), 0 ) &
	2257	)
[1875]	2258	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2259	ENDDO
	2260	ENDDO
	2261	ENDDO
	2262
	2263	!
	2264	!-- Calculate tendencies for the next Runge-Kutta step
	2265	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2266	IF ( intermediate_timestep_count == 1 ) THEN
	2267	DO i = nxl, nxr
	2268	DO j = nys, nyn
[2232]	2269	DO k = nzb+1, nzt
[1875]	2270	tnr_m(k,j,i) = tend(k,j,i)
	2271	ENDDO
	2272	ENDDO
	2273	ENDDO
	2274	ELSEIF ( intermediate_timestep_count < &
	2275	intermediate_timestep_count_max ) THEN
	2276	DO i = nxl, nxr
	2277	DO j = nys, nyn
[2232]	2278	DO k = nzb+1, nzt
	2279	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2280	+ 5.3125_wp * tnr_m(k,j,i)
[1875]	2281	ENDDO
	2282	ENDDO
	2283	ENDDO
	2284	ENDIF
	2285	ENDIF
	2286
	2287	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2288
	2289	ENDIF
	2290
	2291	ENDIF
[1960]	2292	!
	2293	!-- If required, compute prognostic equation for scalar
	2294	IF ( passive_scalar ) THEN
[1875]	2295
[1960]	2296	CALL cpu_log( log_point(66), 's-equation', 'start' )
	2297
[1875]	2298	!
[1960]	2299	!-- Scalar/q-tendency terms with communication
	2300	sbt = tsc(2)
	2301	IF ( scalar_advec == 'bc-scheme' ) THEN
	2302
	2303	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2304	!
	2305	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2306	sbt = 1.0_wp
	2307	ENDIF
	2308	tend = 0.0_wp
	2309	CALL advec_s_bc( s, 's' )
	2310
	2311	ENDIF
	2312
	2313	!
	2314	!-- Scalar/q-tendency terms with no communication
	2315	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2316	tend = 0.0_wp
	2317	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2318	IF ( ws_scheme_sca ) THEN
	2319	CALL advec_s_ws( s, 's' )
	2320	ELSE
	2321	CALL advec_s_pw( s )
	2322	ENDIF
	2323	ELSE
	2324	CALL advec_s_up( s )
	2325	ENDIF
	2326	ENDIF
	2327
[2232]	2328	CALL diffusion_s( s, &
	2329	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
	2330	surf_def_h(2)%ssws, &
	2331	surf_lsm_h%ssws, surf_usm_h%ssws, &
	2332	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
	2333	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
	2334	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
	2335	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
	2336	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
	2337	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
[2155]	2338
[1960]	2339	!
	2340	!-- Sink or source of humidity due to canopy elements
	2341	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	2342
	2343	!
	2344	!-- Large scale advection. Not implemented for scalars so far.
	2345	! IF ( large_scale_forcing ) THEN
	2346	! CALL ls_advec( simulated_time, 'q' )
	2347	! ENDIF
	2348
	2349	!
	2350	!-- Nudging. Not implemented for scalars so far.
[2155]	2351	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	2352
	2353	!
	2354	!-- If required compute influence of large-scale subsidence/ascent.
	2355	!-- Not implemented for scalars so far.
	2356	IF ( large_scale_subsidence .AND. &
	2357	.NOT. use_subsidence_tendencies .AND. &
	2358	.NOT. large_scale_forcing ) THEN
	2359	CALL subsidence( tend, s, s_init, 3 )
	2360	ENDIF
	2361
	2362	CALL user_actions( 's-tendency' )
	2363
	2364	!
	2365	!-- Prognostic equation for total water content
	2366	DO i = nxl, nxr
	2367	DO j = nys, nyn
[2232]	2368	DO k = nzb+1, nzt
	2369	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2370	tsc(3) * ts_m(k,j,i) ) &
	2371	- tsc(5) * rdf_sc(k) * &
	2372	( s(k,j,i) - s_init(k) ) &
	2373	) &
	2374	* MERGE( 1.0_wp, 0.0_wp, &
	2375	BTEST( wall_flags_0(k,j,i), 0 ) &
	2376	)
[1960]	2377	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	2378	ENDDO
	2379	ENDDO
	2380	ENDDO
	2381
	2382	!
	2383	!-- Calculate tendencies for the next Runge-Kutta step
	2384	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2385	IF ( intermediate_timestep_count == 1 ) THEN
	2386	DO i = nxl, nxr
	2387	DO j = nys, nyn
[2232]	2388	DO k = nzb+1, nzt
[1960]	2389	ts_m(k,j,i) = tend(k,j,i)
	2390	ENDDO
	2391	ENDDO
	2392	ENDDO
	2393	ELSEIF ( intermediate_timestep_count < &
	2394	intermediate_timestep_count_max ) THEN
	2395	DO i = nxl, nxr
	2396	DO j = nys, nyn
[2232]	2397	DO k = nzb+1, nzt
	2398	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2399	+ 5.3125_wp * ts_m(k,j,i)
[1960]	2400	ENDDO
	2401	ENDDO
	2402	ENDDO
	2403	ENDIF
	2404	ENDIF
	2405
	2406	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	2407
	2408	ENDIF
	2409	!
[2155]	2410	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	2411	!-- energy (TKE)
	2412	IF ( .NOT. constant_diffusion ) THEN
	2413
	2414	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2415
	2416	sbt = tsc(2)
	2417	IF ( .NOT. use_upstream_for_tke ) THEN
	2418	IF ( scalar_advec == 'bc-scheme' ) THEN
	2419
	2420	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2421	!
	2422	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2423	sbt = 1.0_wp
	2424	ENDIF
	2425	tend = 0.0_wp
	2426	CALL advec_s_bc( e, 'e' )
	2427
	2428	ENDIF
	2429	ENDIF
	2430
	2431	!
	2432	!-- TKE-tendency terms with no communication
	2433	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2434	IF ( use_upstream_for_tke ) THEN
	2435	tend = 0.0_wp
	2436	CALL advec_s_up( e )
	2437	ELSE
	2438	tend = 0.0_wp
	2439	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2440	IF ( ws_scheme_sca ) THEN
	2441	CALL advec_s_ws( e, 'e' )
[2155]	2442	ELSE
[1875]	2443	CALL advec_s_pw( e )
	2444	ENDIF
	2445	ELSE
	2446	CALL advec_s_up( e )
	2447	ENDIF
	2448	ENDIF
	2449	ENDIF
	2450
	2451	IF ( .NOT. humidity ) THEN
	2452	IF ( ocean ) THEN
	2453	CALL diffusion_e( prho, prho_reference )
	2454	ELSE
	2455	CALL diffusion_e( pt, pt_reference )
	2456	ENDIF
	2457	ELSE
	2458	CALL diffusion_e( vpt, pt_reference )
	2459	ENDIF
	2460
	2461	CALL production_e
	2462
	2463	!
	2464	!-- Additional sink term for flows through plant canopies
	2465	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	2466	CALL user_actions( 'e-tendency' )
	2467
	2468	!
	2469	!-- Prognostic equation for TKE.
	2470	!-- Eliminate negative TKE values, which can occur due to numerical
	2471	!-- reasons in the course of the integration. In such cases the old TKE
	2472	!-- value is reduced by 90%.
	2473	DO i = nxl, nxr
	2474	DO j = nys, nyn
[2232]	2475	DO k = nzb+1, nzt
	2476	e_p(k,j,i) = e(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
	2477	tsc(3) * te_m(k,j,i) ) &
	2478	) &
	2479	* MERGE( 1.0_wp, 0.0_wp, &
	2480	BTEST( wall_flags_0(k,j,i), 0 ) &
	2481	)
[1875]	2482	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	2483	ENDDO
	2484	ENDDO
	2485	ENDDO
	2486
	2487	!
	2488	!-- Calculate tendencies for the next Runge-Kutta step
	2489	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2490	IF ( intermediate_timestep_count == 1 ) THEN
	2491	DO i = nxl, nxr
	2492	DO j = nys, nyn
[2232]	2493	DO k = nzb+1, nzt
[1875]	2494	te_m(k,j,i) = tend(k,j,i)
	2495	ENDDO
	2496	ENDDO
	2497	ENDDO
	2498	ELSEIF ( intermediate_timestep_count < &
	2499	intermediate_timestep_count_max ) THEN
	2500	DO i = nxl, nxr
	2501	DO j = nys, nyn
[2232]	2502	DO k = nzb+1, nzt
	2503	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
	2504	+ 5.3125_wp * te_m(k,j,i)
[1875]	2505	ENDDO
	2506	ENDDO
	2507	ENDDO
	2508	ENDIF
	2509	ENDIF
	2510
	2511	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2512
	2513	ENDIF
	2514
	2515	END SUBROUTINE prognostic_equations_vector
	2516
	2517
	2518	END MODULE prognostic_equations_mod

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