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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2192

Last change on this file since 2192 was 2192, checked in by raasch, 7 years ago
bugfixes for calculating spectra and for misplaced/missing openMP statements
Property svn:keywords set to `Id`
File size: 66.9 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	! ------------------
[2192]	22	! Bugfix for misplaced and missing openMP directives in r2155
[2156]	23	!
[1875]	24	! Former revisions:
	25	! -----------------
	26	! $Id: prognostic_equations.f90 2192 2017-03-22 04:14:10Z raasch $
	27	!
[2156]	28	! 2155 2017-02-21 09:57:40Z hoffmann
	29	! Bugfix in the calculation of microphysical quantities on ghost points.
	30	!
[2119]	31	! 2118 2017-01-17 16:38:49Z raasch
	32	! OpenACC version of subroutine removed
[2155]	33	!
[2032]	34	! 2031 2016-10-21 15:11:58Z knoop
	35	! renamed variable rho to rho_ocean
[2155]	36	!
[2012]	37	! 2011 2016-09-19 17:29:57Z kanani
	38	! Flag urban_surface is now defined in module control_parameters.
[2155]	39	!
[2008]	40	! 2007 2016-08-24 15:47:17Z kanani
	41	! Added pt tendency calculation based on energy balance at urban surfaces
	42	! (new urban surface model)
[2155]	43	!
[2001]	44	! 2000 2016-08-20 18:09:15Z knoop
	45	! Forced header and separation lines into 80 columns
[2155]	46	!
[1977]	47	! 1976 2016-07-27 13:28:04Z maronga
	48	! Simplied calls to radiation model
[2155]	49	!
[1961]	50	! 1960 2016-07-12 16:34:24Z suehring
	51	! Separate humidity and passive scalar
[2155]	52	!
[1917]	53	! 1914 2016-05-26 14:44:07Z witha
	54	! Added calls for wind turbine model
	55	!
[1874]	56	! 1873 2016-04-18 14:50:06Z maronga
	57	! Module renamed (removed _mod)
[2155]	58	!
[1851]	59	! 1850 2016-04-08 13:29:27Z maronga
	60	! Module renamed
[2155]	61	!
[1827]	62	! 1826 2016-04-07 12:01:39Z maronga
[1875]	63	! Renamed canopy model calls.
[2155]	64	!
[1875]	65	! 1822 2016-04-07 07:49:42Z hoffmann
	66	! Kessler microphysics scheme moved to microphysics.
	67	!
	68	! 1757 2016-02-22 15:49:32Z maronga
[2155]	69	!
[1875]	70	! 1691 2015-10-26 16:17:44Z maronga
	71	! Added optional model spin-up without radiation / land surface model calls.
	72	! Formatting corrections.
[2155]	73	!
[1875]	74	! 1682 2015-10-07 23:56:08Z knoop
[2155]	75	! Code annotations made doxygen readable
	76	!
[1875]	77	! 1585 2015-04-30 07:05:52Z maronga
	78	! Added call for temperature tendency calculation due to radiative flux divergence
[2155]	79	!
[1875]	80	! 1517 2015-01-07 19:12:25Z hoffmann
	81	! advec_s_bc_mod addded, since advec_s_bc is now a module
	82	!
	83	! 1496 2014-12-02 17:25:50Z maronga
	84	! Renamed "radiation" -> "cloud_top_radiation"
[2155]	85	!
[1875]	86	! 1484 2014-10-21 10:53:05Z kanani
	87	! Changes due to new module structure of the plant canopy model:
	88	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	89	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	90	! control_parameters
[2155]	91	!
[1875]	92	! 1409 2014-05-23 12:11:32Z suehring
[2155]	93	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
[1875]	94	! This ensures that left-hand side fluxes are also calculated for nxl in that
[2155]	95	! case, even though the solution at nxl is overwritten in boundary_conds()
	96	!
[1875]	97	! 1398 2014-05-07 11:15:00Z heinze
	98	! Rayleigh-damping for horizontal velocity components changed: instead of damping
[2155]	99	! against ug and vg, damping against u_init and v_init is used to allow for a
[1875]	100	! homogenized treatment in case of nudging
[2155]	101	!
[1875]	102	! 1380 2014-04-28 12:40:45Z heinze
[2155]	103	! Change order of calls for scalar prognostic quantities:
	104	! ls_advec -> nudging -> subsidence since initial profiles
	105	!
[1875]	106	! 1374 2014-04-25 12:55:07Z raasch
	107	! missing variables added to ONLY lists
[2155]	108	!
[1875]	109	! 1365 2014-04-22 15:03:56Z boeske
[2155]	110	! Calls of ls_advec for large scale advection added,
[1875]	111	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	112	! new argument ls_index added to the calls of subsidence
	113	! +ls_index
[2155]	114	!
[1875]	115	! 1361 2014-04-16 15:17:48Z hoffmann
	116	! Two-moment microphysics moved to the start of prognostic equations. This makes
	117	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	118	! Additionally, it is allowed to call the microphysics just once during the time
	119	! step (not at each sub-time step).
	120	!
	121	! Two-moment cloud physics added for vector and accelerator optimization.
[2155]	122	!
[1875]	123	! 1353 2014-04-08 15:21:23Z heinze
	124	! REAL constants provided with KIND-attribute
[2155]	125	!
[1875]	126	! 1337 2014-03-25 15:11:48Z heinze
	127	! Bugfix: REAL constants provided with KIND-attribute
[2155]	128	!
[1875]	129	! 1332 2014-03-25 11:59:43Z suehring
[2155]	130	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	131	!
[1875]	132	! 1330 2014-03-24 17:29:32Z suehring
[2155]	133	! In case of SGS-particle velocity advection of TKE is also allowed with
[1875]	134	! dissipative 5th-order scheme.
	135	!
	136	! 1320 2014-03-20 08:40:49Z raasch
	137	! ONLY-attribute added to USE-statements,
	138	! kind-parameters added to all INTEGER and REAL declaration statements,
	139	! kinds are defined in new module kinds,
	140	! old module precision_kind is removed,
	141	! revision history before 2012 removed,
	142	! comment fields (!:) to be used for variable explanations added to
	143	! all variable declaration statements
	144	!
	145	! 1318 2014-03-17 13:35:16Z raasch
	146	! module interfaces removed
	147	!
	148	! 1257 2013-11-08 15:18:40Z raasch
	149	! openacc loop vector clauses removed, independent clauses added
	150	!
	151	! 1246 2013-11-01 08:59:45Z heinze
	152	! enable nudging also for accelerator version
	153	!
	154	! 1241 2013-10-30 11:36:58Z heinze
	155	! usage of nudging enabled (so far not implemented for accelerator version)
	156	!
	157	! 1179 2013-06-14 05:57:58Z raasch
	158	! two arguments removed from routine buoyancy, ref_state updated on device
	159	!
	160	! 1128 2013-04-12 06:19:32Z raasch
	161	! those parts requiring global communication moved to time_integration,
	162	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	163	! j_north
	164	!
	165	! 1115 2013-03-26 18:16:16Z hoffmann
[2155]	166	! optimized cloud physics: calculation of microphysical tendencies transfered
[1875]	167	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	168	!
	169	! 1111 2013-03-08 23:54:10Z raasch
	170	! update directives for prognostic quantities removed
	171	!
	172	! 1106 2013-03-04 05:31:38Z raasch
	173	! small changes in code formatting
	174	!
	175	! 1092 2013-02-02 11:24:22Z raasch
	176	! unused variables removed
	177	!
	178	! 1053 2012-11-13 17:11:03Z hoffmann
	179	! implementation of two new prognostic equations for rain drop concentration (nr)
	180	! and rain water content (qr)
	181	!
	182	! currently, only available for cache loop optimization
	183	!
	184	! 1036 2012-10-22 13:43:42Z raasch
	185	! code put under GPL (PALM 3.9)
	186	!
	187	! 1019 2012-09-28 06:46:45Z raasch
	188	! non-optimized version of prognostic_equations removed
	189	!
	190	! 1015 2012-09-27 09:23:24Z raasch
	191	! new branch prognostic_equations_acc
	192	! OpenACC statements added + code changes required for GPU optimization
	193	!
	194	! 1001 2012-09-13 14:08:46Z raasch
	195	! all actions concerning leapfrog- and upstream-spline-scheme removed
	196	!
	197	! 978 2012-08-09 08:28:32Z fricke
	198	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	199	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	200	! boundary in case of non-cyclic lateral boundaries
	201	! Bugfix: first thread index changes for WS-scheme at the inflow
	202	!
	203	! 940 2012-07-09 14:31:00Z raasch
	204	! temperature equation can be switched off
	205	!
	206	! Revision 1.1 2000/04/13 14:56:27 schroeter
	207	! Initial revision
	208	!
	209	!
	210	! Description:
	211	! ------------
	212	!> Solving the prognostic equations.
	213	!------------------------------------------------------------------------------!
	214	MODULE prognostic_equations_mod
	215
	216
[2155]	217
[1875]	218	USE arrays_3d, &
	219	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
[1960]	220	diss_l_s, diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	221	diss_s_qr, diss_s_s, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, &
	222	flux_s_pt, flux_s_q, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, &
	223	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qr, flux_l_s, flux_l_sa, &
	224	nr, nr_p, nrsws, nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, &
	225	prho, q, q_init, q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf,&
[2031]	226	rdf_sc, ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, &
[1960]	227	saswsb, saswst, shf, ssws, sswst, tend, &
	228	te_m, tnr_m, tpt_m, tq_m, tqr_m, ts_m, tsa_m, tswst, tu_m, tv_m,&
[1875]	229	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
[2155]	230
[1875]	231	USE control_parameters, &
	232	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	233	cloud_top_radiation, constant_diffusion, dp_external, &
	234	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	235	inflow_l, intermediate_timestep_count, &
	236	intermediate_timestep_count_max, large_scale_forcing, &
	237	large_scale_subsidence, microphysics_seifert, &
	238	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	239	outflow_s, passive_scalar, prho_reference, prho_reference, &
	240	prho_reference, pt_reference, pt_reference, pt_reference, &
	241	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[2011]	242	timestep_scheme, tsc, urban_surface, use_subsidence_tendencies, &
[1875]	243	use_upstream_for_tke, wall_heatflux, &
	244	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
[1960]	245	wall_salinityflux, wall_sflux, ws_scheme_mom, ws_scheme_sca
[1875]	246
	247	USE cpulog, &
	248	ONLY: cpu_log, log_point
	249
	250	USE eqn_state_seawater_mod, &
	251	ONLY: eqn_state_seawater
	252
	253	USE indices, &
[2155]	254	ONLY: nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
	255	nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
[1875]	256
	257	USE advec_ws, &
[2118]	258	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
[1875]	259
	260	USE advec_s_bc_mod, &
	261	ONLY: advec_s_bc
	262
	263	USE advec_s_pw_mod, &
	264	ONLY: advec_s_pw
	265
	266	USE advec_s_up_mod, &
	267	ONLY: advec_s_up
	268
	269	USE advec_u_pw_mod, &
	270	ONLY: advec_u_pw
	271
	272	USE advec_u_up_mod, &
	273	ONLY: advec_u_up
	274
	275	USE advec_v_pw_mod, &
	276	ONLY: advec_v_pw
	277
	278	USE advec_v_up_mod, &
	279	ONLY: advec_v_up
	280
	281	USE advec_w_pw_mod, &
	282	ONLY: advec_w_pw
	283
	284	USE advec_w_up_mod, &
	285	ONLY: advec_w_up
	286
	287	USE buoyancy_mod, &
[2118]	288	ONLY: buoyancy
[1875]	289
	290	USE calc_radiation_mod, &
	291	ONLY: calc_radiation
[2155]	292
[1875]	293	USE coriolis_mod, &
[2118]	294	ONLY: coriolis
[1875]	295
	296	USE diffusion_e_mod, &
[2118]	297	ONLY: diffusion_e
[1875]	298
	299	USE diffusion_s_mod, &
[2118]	300	ONLY: diffusion_s
[1875]	301
	302	USE diffusion_u_mod, &
[2118]	303	ONLY: diffusion_u
[1875]	304
	305	USE diffusion_v_mod, &
[2118]	306	ONLY: diffusion_v
[1875]	307
	308	USE diffusion_w_mod, &
[2118]	309	ONLY: diffusion_w
[1875]	310
	311	USE kinds
	312
	313	USE ls_forcing_mod, &
	314	ONLY: ls_advec
	315
	316	USE microphysics_mod, &
	317	ONLY: microphysics_control
	318
	319	USE nudge_mod, &
	320	ONLY: nudge
	321
	322	USE plant_canopy_model_mod, &
	323	ONLY: cthf, plant_canopy, pcm_tendency
	324
	325	USE production_e_mod, &
[2118]	326	ONLY: production_e
[1875]	327
	328	USE radiation_model_mod, &
[1976]	329	ONLY: radiation, radiation_tendency, &
[1875]	330	skip_time_do_radiation
	331
	332	USE statistics, &
	333	ONLY: hom
	334
	335	USE subsidence_mod, &
	336	ONLY: subsidence
	337
[2007]	338	USE urban_surface_mod, &
[2011]	339	ONLY: usm_wall_heat_flux
[2007]	340
[1875]	341	USE user_actions_mod, &
	342	ONLY: user_actions
	343
[1914]	344	USE wind_turbine_model_mod, &
	345	ONLY: wind_turbine, wtm_tendencies
[1875]	346
[1914]	347
[1875]	348	PRIVATE
[2118]	349	PUBLIC prognostic_equations_cache, prognostic_equations_vector
[1875]	350
	351	INTERFACE prognostic_equations_cache
	352	MODULE PROCEDURE prognostic_equations_cache
	353	END INTERFACE prognostic_equations_cache
	354
	355	INTERFACE prognostic_equations_vector
	356	MODULE PROCEDURE prognostic_equations_vector
	357	END INTERFACE prognostic_equations_vector
	358
	359
	360	CONTAINS
	361
	362
	363	!------------------------------------------------------------------------------!
	364	! Description:
	365	! ------------
	366	!> Version with one optimized loop over all equations. It is only allowed to
	367	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	368	!>
	369	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	370	!> so communication between CPUs is not allowed (does not make sense) within
	371	!> these loops.
	372	!>
	373	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	374	!------------------------------------------------------------------------------!
[2155]	375
[1875]	376	SUBROUTINE prognostic_equations_cache
	377
	378
	379	IMPLICIT NONE
	380
	381	INTEGER(iwp) :: i !<
	382	INTEGER(iwp) :: i_omp_start !<
	383	INTEGER(iwp) :: j !<
	384	INTEGER(iwp) :: k !<
	385	INTEGER(iwp) :: omp_get_thread_num !<
	386	INTEGER(iwp) :: tn = 0 !<
[2155]	387
[1875]	388	LOGICAL :: loop_start !<
	389
	390
	391	!
	392	!-- Time measurement can only be performed for the whole set of equations
	393	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	394
	395	!
[2155]	396	!-- If required, calculate cloud microphysics
	397	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	398	( intermediate_timestep_count == 1 .OR. &
[2192]	399	call_microphysics_at_all_substeps ) ) &
	400	THEN
	401	!$OMP PARALLEL private (i,j)
	402	!$OMP DO
[2155]	403	DO i = nxlg, nxrg
	404	DO j = nysg, nyng
	405	CALL microphysics_control( i, j )
[2192]	406	ENDDO
	407	ENDDO
	408	!$OMP END PARALLEL
[2155]	409	ENDIF
	410
[2192]	411	!
	412	!-- Loop over all prognostic equations
	413	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	414
	415	!$ tn = omp_get_thread_num()
	416	loop_start = .TRUE.
	417
	418	!$OMP DO
[1875]	419	DO i = nxl, nxr
	420
	421	!
	422	!-- Store the first loop index. It differs for each thread and is required
	423	!-- later in advec_ws
	424	IF ( loop_start ) THEN
	425	loop_start = .FALSE.
[2155]	426	i_omp_start = i
[1875]	427	ENDIF
	428
	429	DO j = nys, nyn
	430	!
	431	!-- Tendency terms for u-velocity component
	432	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	433
	434	tend(:,j,i) = 0.0_wp
	435	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	436	IF ( ws_scheme_mom ) THEN
	437	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	438	ELSE
[1875]	439	CALL advec_u_pw( i, j )
[2155]	440	ENDIF
[1875]	441	ELSE
	442	CALL advec_u_up( i, j )
	443	ENDIF
	444	CALL diffusion_u( i, j )
	445	CALL coriolis( i, j, 1 )
	446	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	447	CALL buoyancy( i, j, pt, 1 )
	448	ENDIF
	449
	450	!
	451	!-- Drag by plant canopy
	452	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	453
	454	!
	455	!-- External pressure gradient
	456	IF ( dp_external ) THEN
	457	DO k = dp_level_ind_b+1, nzt
	458	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	459	ENDDO
	460	ENDIF
	461
	462	!
	463	!-- Nudging
	464	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	465
[1914]	466	!
	467	!-- Forces by wind turbines
	468	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	469
[1875]	470	CALL user_actions( i, j, 'u-tendency' )
	471	!
	472	!-- Prognostic equation for u-velocity component
	473	DO k = nzb_u_inner(j,i)+1, nzt
	474	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	475	tsc(3) * tu_m(k,j,i) ) &
	476	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	477	ENDDO
	478
	479	!
	480	!-- Calculate tendencies for the next Runge-Kutta step
	481	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	482	IF ( intermediate_timestep_count == 1 ) THEN
	483	DO k = nzb_u_inner(j,i)+1, nzt
	484	tu_m(k,j,i) = tend(k,j,i)
	485	ENDDO
	486	ELSEIF ( intermediate_timestep_count < &
	487	intermediate_timestep_count_max ) THEN
	488	DO k = nzb_u_inner(j,i)+1, nzt
	489	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	490	ENDDO
	491	ENDIF
	492	ENDIF
	493
	494	ENDIF
	495
	496	!
	497	!-- Tendency terms for v-velocity component
	498	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	499
	500	tend(:,j,i) = 0.0_wp
	501	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	502	IF ( ws_scheme_mom ) THEN
	503	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	504	ELSE
[1875]	505	CALL advec_v_pw( i, j )
	506	ENDIF
	507	ELSE
	508	CALL advec_v_up( i, j )
	509	ENDIF
	510	CALL diffusion_v( i, j )
	511	CALL coriolis( i, j, 2 )
	512
	513	!
	514	!-- Drag by plant canopy
[2155]	515	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	516
	517	!
	518	!-- External pressure gradient
	519	IF ( dp_external ) THEN
	520	DO k = dp_level_ind_b+1, nzt
	521	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	522	ENDDO
	523	ENDIF
	524
	525	!
	526	!-- Nudging
	527	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	528
[1914]	529	!
	530	!-- Forces by wind turbines
	531	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	532
[1875]	533	CALL user_actions( i, j, 'v-tendency' )
	534	!
	535	!-- Prognostic equation for v-velocity component
	536	DO k = nzb_v_inner(j,i)+1, nzt
	537	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	538	tsc(3) * tv_m(k,j,i) ) &
	539	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	540	ENDDO
	541
	542	!
	543	!-- Calculate tendencies for the next Runge-Kutta step
	544	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	545	IF ( intermediate_timestep_count == 1 ) THEN
	546	DO k = nzb_v_inner(j,i)+1, nzt
	547	tv_m(k,j,i) = tend(k,j,i)
	548	ENDDO
	549	ELSEIF ( intermediate_timestep_count < &
	550	intermediate_timestep_count_max ) THEN
	551	DO k = nzb_v_inner(j,i)+1, nzt
	552	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	553	ENDDO
	554	ENDIF
	555	ENDIF
	556
	557	ENDIF
	558
	559	!
	560	!-- Tendency terms for w-velocity component
	561	tend(:,j,i) = 0.0_wp
	562	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	563	IF ( ws_scheme_mom ) THEN
	564	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	565	ELSE
[1875]	566	CALL advec_w_pw( i, j )
	567	END IF
	568	ELSE
	569	CALL advec_w_up( i, j )
	570	ENDIF
	571	CALL diffusion_w( i, j )
	572	CALL coriolis( i, j, 3 )
	573
	574	IF ( .NOT. neutral ) THEN
	575	IF ( ocean ) THEN
[2031]	576	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	577	ELSE
	578	IF ( .NOT. humidity ) THEN
	579	CALL buoyancy( i, j, pt, 3 )
	580	ELSE
	581	CALL buoyancy( i, j, vpt, 3 )
	582	ENDIF
	583	ENDIF
	584	ENDIF
	585
	586	!
	587	!-- Drag by plant canopy
	588	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	589
[1914]	590	!
	591	!-- Forces by wind turbines
	592	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	593
[1875]	594	CALL user_actions( i, j, 'w-tendency' )
	595
	596	!
	597	!-- Prognostic equation for w-velocity component
	598	DO k = nzb_w_inner(j,i)+1, nzt-1
	599	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	600	tsc(3) * tw_m(k,j,i) ) &
	601	- tsc(5) * rdf(k) * w(k,j,i)
	602	ENDDO
	603
	604	!
	605	!-- Calculate tendencies for the next Runge-Kutta step
	606	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	607	IF ( intermediate_timestep_count == 1 ) THEN
	608	DO k = nzb_w_inner(j,i)+1, nzt-1
	609	tw_m(k,j,i) = tend(k,j,i)
	610	ENDDO
	611	ELSEIF ( intermediate_timestep_count < &
	612	intermediate_timestep_count_max ) THEN
	613	DO k = nzb_w_inner(j,i)+1, nzt-1
	614	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	615	ENDDO
	616	ENDIF
	617	ENDIF
	618
	619	!
	620	!-- If required, compute prognostic equation for potential temperature
	621	IF ( .NOT. neutral ) THEN
	622	!
	623	!-- Tendency terms for potential temperature
	624	tend(:,j,i) = 0.0_wp
	625	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	626	IF ( ws_scheme_sca ) THEN
	627	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	628	flux_l_pt, diss_l_pt, i_omp_start, tn )
	629	ELSE
	630	CALL advec_s_pw( i, j, pt )
	631	ENDIF
	632	ELSE
	633	CALL advec_s_up( i, j, pt )
	634	ENDIF
	635	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
	636
	637	!
[2007]	638	!-- Tendency pt from wall heat flux from urban surface
	639	IF ( urban_surface ) THEN
	640	CALL usm_wall_heat_flux( i, j )
	641	ENDIF
	642
	643	!
[1875]	644	!-- If required compute heating/cooling due to long wave radiation
	645	!-- processes
	646	IF ( cloud_top_radiation ) THEN
	647	CALL calc_radiation( i, j )
	648	ENDIF
	649
	650	!
	651	!-- Consideration of heat sources within the plant canopy
	652	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	653	CALL pcm_tendency( i, j, 4 )
	654	ENDIF
	655
	656	!
	657	!-- Large scale advection
	658	IF ( large_scale_forcing ) THEN
	659	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	660	ENDIF
[1875]	661
	662	!
	663	!-- Nudging
[2155]	664	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	665
	666	!
	667	!-- If required, compute effect of large-scale subsidence/ascent
	668	IF ( large_scale_subsidence .AND. &
	669	.NOT. use_subsidence_tendencies ) THEN
	670	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	671	ENDIF
	672
	673	!
	674	!-- If required, add tendency due to radiative heating/cooling
[1976]	675	IF ( radiation .AND. &
[1875]	676	simulated_time > skip_time_do_radiation ) THEN
	677	CALL radiation_tendency ( i, j, tend )
	678	ENDIF
	679
	680
	681	CALL user_actions( i, j, 'pt-tendency' )
	682
	683	!
	684	!-- Prognostic equation for potential temperature
	685	DO k = nzb_s_inner(j,i)+1, nzt
	686	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	687	tsc(3) * tpt_m(k,j,i) ) &
	688	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	689	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	690	ENDDO
	691
	692	!
	693	!-- Calculate tendencies for the next Runge-Kutta step
	694	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	695	IF ( intermediate_timestep_count == 1 ) THEN
	696	DO k = nzb_s_inner(j,i)+1, nzt
	697	tpt_m(k,j,i) = tend(k,j,i)
	698	ENDDO
	699	ELSEIF ( intermediate_timestep_count < &
	700	intermediate_timestep_count_max ) THEN
	701	DO k = nzb_s_inner(j,i)+1, nzt
	702	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	703	5.3125_wp * tpt_m(k,j,i)
	704	ENDDO
	705	ENDIF
	706	ENDIF
	707
	708	ENDIF
	709
	710	!
	711	!-- If required, compute prognostic equation for salinity
	712	IF ( ocean ) THEN
	713
	714	!
	715	!-- Tendency-terms for salinity
	716	tend(:,j,i) = 0.0_wp
	717	IF ( timestep_scheme(1:5) == 'runge' ) &
	718	THEN
	719	IF ( ws_scheme_sca ) THEN
	720	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	721	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	722	ELSE
[1875]	723	CALL advec_s_pw( i, j, sa )
	724	ENDIF
	725	ELSE
	726	CALL advec_s_up( i, j, sa )
	727	ENDIF
	728	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
	729
	730	CALL user_actions( i, j, 'sa-tendency' )
	731
	732	!
	733	!-- Prognostic equation for salinity
	734	DO k = nzb_s_inner(j,i)+1, nzt
	735	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	736	tsc(3) * tsa_m(k,j,i) ) &
	737	- tsc(5) * rdf_sc(k) * &
	738	( sa(k,j,i) - sa_init(k) )
	739	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	740	ENDDO
	741
	742	!
	743	!-- Calculate tendencies for the next Runge-Kutta step
	744	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	745	IF ( intermediate_timestep_count == 1 ) THEN
	746	DO k = nzb_s_inner(j,i)+1, nzt
	747	tsa_m(k,j,i) = tend(k,j,i)
	748	ENDDO
	749	ELSEIF ( intermediate_timestep_count < &
	750	intermediate_timestep_count_max ) THEN
	751	DO k = nzb_s_inner(j,i)+1, nzt
	752	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	753	5.3125_wp * tsa_m(k,j,i)
	754	ENDDO
	755	ENDIF
	756	ENDIF
	757
	758	!
	759	!-- Calculate density by the equation of state for seawater
	760	CALL eqn_state_seawater( i, j )
	761
	762	ENDIF
	763
	764	!
[1960]	765	!-- If required, compute prognostic equation for total water content
	766	IF ( humidity ) THEN
[1875]	767
	768	!
	769	!-- Tendency-terms for total water content / scalar
	770	tend(:,j,i) = 0.0_wp
	771	IF ( timestep_scheme(1:5) == 'runge' ) &
	772	THEN
	773	IF ( ws_scheme_sca ) THEN
[2155]	774	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	775	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	776	ELSE
[1875]	777	CALL advec_s_pw( i, j, q )
	778	ENDIF
	779	ELSE
	780	CALL advec_s_up( i, j, q )
	781	ENDIF
	782	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
	783
	784	!
[1960]	785	!-- Sink or source of humidity due to canopy elements
[1875]	786	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	787
	788	!
	789	!-- Large scale advection
	790	IF ( large_scale_forcing ) THEN
	791	CALL ls_advec( i, j, simulated_time, 'q' )
	792	ENDIF
	793
	794	!
	795	!-- Nudging
[2155]	796	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	797
	798	!
	799	!-- If required compute influence of large-scale subsidence/ascent
	800	IF ( large_scale_subsidence .AND. &
	801	.NOT. use_subsidence_tendencies ) THEN
	802	CALL subsidence( i, j, tend, q, q_init, 3 )
	803	ENDIF
	804
	805	CALL user_actions( i, j, 'q-tendency' )
	806
	807	!
	808	!-- Prognostic equation for total water content / scalar
	809	DO k = nzb_s_inner(j,i)+1, nzt
	810	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	811	tsc(3) * tq_m(k,j,i) ) &
	812	- tsc(5) * rdf_sc(k) * &
	813	( q(k,j,i) - q_init(k) )
	814	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	815	ENDDO
	816
	817	!
	818	!-- Calculate tendencies for the next Runge-Kutta step
	819	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	820	IF ( intermediate_timestep_count == 1 ) THEN
	821	DO k = nzb_s_inner(j,i)+1, nzt
	822	tq_m(k,j,i) = tend(k,j,i)
	823	ENDDO
	824	ELSEIF ( intermediate_timestep_count < &
	825	intermediate_timestep_count_max ) THEN
	826	DO k = nzb_s_inner(j,i)+1, nzt
	827	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	828	5.3125_wp * tq_m(k,j,i)
	829	ENDDO
	830	ENDIF
	831	ENDIF
	832
	833	!
[2155]	834	!-- If required, calculate prognostic equations for rain water content
[1875]	835	!-- and rain drop concentration
	836	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	837	!
	838	!-- Calculate prognostic equation for rain water content
	839	tend(:,j,i) = 0.0_wp
	840	IF ( timestep_scheme(1:5) == 'runge' ) &
	841	THEN
	842	IF ( ws_scheme_sca ) THEN
[2155]	843	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	844	diss_s_qr, flux_l_qr, diss_l_qr, &
	845	i_omp_start, tn )
[2155]	846	ELSE
[1875]	847	CALL advec_s_pw( i, j, qr )
	848	ENDIF
	849	ELSE
	850	CALL advec_s_up( i, j, qr )
	851	ENDIF
	852	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	853
	854	!
	855	!-- Prognostic equation for rain water content
	856	DO k = nzb_s_inner(j,i)+1, nzt
	857	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	858	tsc(3) * tqr_m(k,j,i) ) &
	859	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	860	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	861	ENDDO
	862	!
	863	!-- Calculate tendencies for the next Runge-Kutta step
	864	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	865	IF ( intermediate_timestep_count == 1 ) THEN
	866	DO k = nzb_s_inner(j,i)+1, nzt
	867	tqr_m(k,j,i) = tend(k,j,i)
	868	ENDDO
	869	ELSEIF ( intermediate_timestep_count < &
	870	intermediate_timestep_count_max ) THEN
	871	DO k = nzb_s_inner(j,i)+1, nzt
	872	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	873	5.3125_wp * tqr_m(k,j,i)
	874	ENDDO
	875	ENDIF
	876	ENDIF
	877
	878	!
	879	!-- Calculate prognostic equation for rain drop concentration.
	880	tend(:,j,i) = 0.0_wp
	881	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	882	IF ( ws_scheme_sca ) THEN
[2155]	883	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	884	diss_s_nr, flux_l_nr, diss_l_nr, &
	885	i_omp_start, tn )
[2155]	886	ELSE
[1875]	887	CALL advec_s_pw( i, j, nr )
	888	ENDIF
	889	ELSE
	890	CALL advec_s_up( i, j, nr )
	891	ENDIF
	892	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	893
	894	!
	895	!-- Prognostic equation for rain drop concentration
	896	DO k = nzb_s_inner(j,i)+1, nzt
	897	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	898	tsc(3) * tnr_m(k,j,i) ) &
	899	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	900	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	901	ENDDO
	902	!
	903	!-- Calculate tendencies for the next Runge-Kutta step
	904	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	905	IF ( intermediate_timestep_count == 1 ) THEN
	906	DO k = nzb_s_inner(j,i)+1, nzt
	907	tnr_m(k,j,i) = tend(k,j,i)
	908	ENDDO
	909	ELSEIF ( intermediate_timestep_count < &
	910	intermediate_timestep_count_max ) THEN
	911	DO k = nzb_s_inner(j,i)+1, nzt
	912	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	913	5.3125_wp * tnr_m(k,j,i)
	914	ENDDO
	915	ENDIF
	916	ENDIF
	917
	918	ENDIF
	919
	920	ENDIF
[2155]	921
[1960]	922	!
	923	!-- If required, compute prognostic equation for scalar
	924	IF ( passive_scalar ) THEN
	925	!
	926	!-- Tendency-terms for total water content / scalar
	927	tend(:,j,i) = 0.0_wp
	928	IF ( timestep_scheme(1:5) == 'runge' ) &
	929	THEN
	930	IF ( ws_scheme_sca ) THEN
[2155]	931	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	932	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	933	ELSE
[1960]	934	CALL advec_s_pw( i, j, s )
	935	ENDIF
	936	ELSE
	937	CALL advec_s_up( i, j, s )
	938	ENDIF
	939	CALL diffusion_s( i, j, s, ssws, sswst, wall_sflux )
[1875]	940
	941	!
[1960]	942	!-- Sink or source of scalar concentration due to canopy elements
	943	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	944
	945	!
	946	!-- Large scale advection, still need to be extended for scalars
	947	! IF ( large_scale_forcing ) THEN
	948	! CALL ls_advec( i, j, simulated_time, 's' )
	949	! ENDIF
	950
	951	!
	952	!-- Nudging, still need to be extended for scalars
[2155]	953	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	954
	955	!
	956	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	957	!-- Note, the last argument is of no meaning in this case, as it is
	958	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	959	!-- date not implemented for scalars.
	960	IF ( large_scale_subsidence .AND. &
	961	.NOT. use_subsidence_tendencies .AND. &
	962	.NOT. large_scale_forcing ) THEN
	963	CALL subsidence( i, j, tend, s, s_init, 3 )
	964	ENDIF
	965
	966	CALL user_actions( i, j, 's-tendency' )
	967
	968	!
	969	!-- Prognostic equation for scalar
	970	DO k = nzb_s_inner(j,i)+1, nzt
	971	s_p(k,j,i) = s(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	972	tsc(3) * ts_m(k,j,i) ) &
	973	- tsc(5) * rdf_sc(k) * &
	974	( s(k,j,i) - s_init(k) )
	975	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	976	ENDDO
	977
	978	!
	979	!-- Calculate tendencies for the next Runge-Kutta step
	980	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	981	IF ( intermediate_timestep_count == 1 ) THEN
	982	DO k = nzb_s_inner(j,i)+1, nzt
	983	ts_m(k,j,i) = tend(k,j,i)
	984	ENDDO
	985	ELSEIF ( intermediate_timestep_count < &
	986	intermediate_timestep_count_max ) THEN
	987	DO k = nzb_s_inner(j,i)+1, nzt
	988	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	989	5.3125_wp * ts_m(k,j,i)
	990	ENDDO
	991	ENDIF
	992	ENDIF
	993
[2155]	994	ENDIF
[1960]	995	!
[2155]	996	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	997	!-- energy (TKE)
	998	IF ( .NOT. constant_diffusion ) THEN
	999
	1000	!
	1001	!-- Tendency-terms for TKE
	1002	tend(:,j,i) = 0.0_wp
	1003	IF ( timestep_scheme(1:5) == 'runge' &
[2155]	1004	.AND. .NOT. use_upstream_for_tke ) THEN
[1875]	1005	IF ( ws_scheme_sca ) THEN
	1006	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	1007	flux_l_e, diss_l_e , i_omp_start, tn )
	1008	ELSE
	1009	CALL advec_s_pw( i, j, e )
	1010	ENDIF
	1011	ELSE
	1012	CALL advec_s_up( i, j, e )
	1013	ENDIF
	1014	IF ( .NOT. humidity ) THEN
	1015	IF ( ocean ) THEN
	1016	CALL diffusion_e( i, j, prho, prho_reference )
	1017	ELSE
	1018	CALL diffusion_e( i, j, pt, pt_reference )
	1019	ENDIF
	1020	ELSE
	1021	CALL diffusion_e( i, j, vpt, pt_reference )
	1022	ENDIF
	1023	CALL production_e( i, j )
	1024
	1025	!
	1026	!-- Additional sink term for flows through plant canopies
[2155]	1027	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
[1875]	1028
	1029	CALL user_actions( i, j, 'e-tendency' )
	1030
	1031	!
	1032	!-- Prognostic equation for TKE.
	1033	!-- Eliminate negative TKE values, which can occur due to numerical
	1034	!-- reasons in the course of the integration. In such cases the old
	1035	!-- TKE value is reduced by 90%.
	1036	DO k = nzb_s_inner(j,i)+1, nzt
	1037	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1038	tsc(3) * te_m(k,j,i) )
	1039	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1040	ENDDO
	1041
	1042	!
	1043	!-- Calculate tendencies for the next Runge-Kutta step
	1044	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1045	IF ( intermediate_timestep_count == 1 ) THEN
	1046	DO k = nzb_s_inner(j,i)+1, nzt
	1047	te_m(k,j,i) = tend(k,j,i)
	1048	ENDDO
	1049	ELSEIF ( intermediate_timestep_count < &
	1050	intermediate_timestep_count_max ) THEN
	1051	DO k = nzb_s_inner(j,i)+1, nzt
	1052	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1053	5.3125_wp * te_m(k,j,i)
	1054	ENDDO
	1055	ENDIF
	1056	ENDIF
	1057
	1058	ENDIF ! TKE equation
	1059
	1060	ENDDO
	1061	ENDDO
[2192]	1062	!$OMP END PARALLEL
[1875]	1063
	1064	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1065
	1066
	1067	END SUBROUTINE prognostic_equations_cache
	1068
	1069
	1070	!------------------------------------------------------------------------------!
	1071	! Description:
	1072	! ------------
	1073	!> Version for vector machines
	1074	!------------------------------------------------------------------------------!
[2155]	1075
[1875]	1076	SUBROUTINE prognostic_equations_vector
	1077
	1078
	1079	IMPLICIT NONE
	1080
	1081	INTEGER(iwp) :: i !<
	1082	INTEGER(iwp) :: j !<
	1083	INTEGER(iwp) :: k !<
	1084
	1085	REAL(wp) :: sbt !<
	1086
	1087
	1088	!
	1089	!-- If required, calculate cloud microphysical impacts
	1090	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1091	( intermediate_timestep_count == 1 .OR. &
	1092	call_microphysics_at_all_substeps ) &
	1093	) THEN
	1094	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1095	CALL microphysics_control
	1096	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1097	ENDIF
	1098
	1099	!
	1100	!-- u-velocity component
	1101	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1102
	1103	tend = 0.0_wp
	1104	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1105	IF ( ws_scheme_mom ) THEN
	1106	CALL advec_u_ws
	1107	ELSE
	1108	CALL advec_u_pw
	1109	ENDIF
	1110	ELSE
	1111	CALL advec_u_up
	1112	ENDIF
	1113	CALL diffusion_u
	1114	CALL coriolis( 1 )
	1115	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1116	CALL buoyancy( pt, 1 )
	1117	ENDIF
	1118
	1119	!
	1120	!-- Drag by plant canopy
	1121	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1122
	1123	!
	1124	!-- External pressure gradient
	1125	IF ( dp_external ) THEN
	1126	DO i = nxlu, nxr
	1127	DO j = nys, nyn
	1128	DO k = dp_level_ind_b+1, nzt
	1129	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1130	ENDDO
	1131	ENDDO
	1132	ENDDO
	1133	ENDIF
	1134
	1135	!
	1136	!-- Nudging
	1137	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1138
[1914]	1139	!
	1140	!-- Forces by wind turbines
	1141	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1142
[1875]	1143	CALL user_actions( 'u-tendency' )
	1144
	1145	!
	1146	!-- Prognostic equation for u-velocity component
	1147	DO i = nxlu, nxr
	1148	DO j = nys, nyn
	1149	DO k = nzb_u_inner(j,i)+1, nzt
	1150	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1151	tsc(3) * tu_m(k,j,i) ) &
	1152	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1153	ENDDO
	1154	ENDDO
	1155	ENDDO
	1156
	1157	!
	1158	!-- Calculate tendencies for the next Runge-Kutta step
	1159	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1160	IF ( intermediate_timestep_count == 1 ) THEN
	1161	DO i = nxlu, nxr
	1162	DO j = nys, nyn
	1163	DO k = nzb_u_inner(j,i)+1, nzt
	1164	tu_m(k,j,i) = tend(k,j,i)
	1165	ENDDO
	1166	ENDDO
	1167	ENDDO
	1168	ELSEIF ( intermediate_timestep_count < &
	1169	intermediate_timestep_count_max ) THEN
	1170	DO i = nxlu, nxr
	1171	DO j = nys, nyn
	1172	DO k = nzb_u_inner(j,i)+1, nzt
	1173	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1174	ENDDO
	1175	ENDDO
	1176	ENDDO
	1177	ENDIF
	1178	ENDIF
	1179
	1180	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1181
	1182	!
	1183	!-- v-velocity component
	1184	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1185
	1186	tend = 0.0_wp
	1187	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1188	IF ( ws_scheme_mom ) THEN
	1189	CALL advec_v_ws
[2155]	1190	ELSE
[1875]	1191	CALL advec_v_pw
	1192	END IF
	1193	ELSE
	1194	CALL advec_v_up
	1195	ENDIF
	1196	CALL diffusion_v
	1197	CALL coriolis( 2 )
	1198
	1199	!
	1200	!-- Drag by plant canopy
	1201	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1202
	1203	!
	1204	!-- External pressure gradient
	1205	IF ( dp_external ) THEN
	1206	DO i = nxl, nxr
	1207	DO j = nysv, nyn
	1208	DO k = dp_level_ind_b+1, nzt
	1209	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1210	ENDDO
	1211	ENDDO
	1212	ENDDO
	1213	ENDIF
	1214
	1215	!
	1216	!-- Nudging
	1217	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1218
[1914]	1219	!
	1220	!-- Forces by wind turbines
	1221	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1222
[1875]	1223	CALL user_actions( 'v-tendency' )
	1224
	1225	!
	1226	!-- Prognostic equation for v-velocity component
	1227	DO i = nxl, nxr
	1228	DO j = nysv, nyn
	1229	DO k = nzb_v_inner(j,i)+1, nzt
	1230	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1231	tsc(3) * tv_m(k,j,i) ) &
	1232	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1233	ENDDO
	1234	ENDDO
	1235	ENDDO
	1236
	1237	!
	1238	!-- Calculate tendencies for the next Runge-Kutta step
	1239	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1240	IF ( intermediate_timestep_count == 1 ) THEN
	1241	DO i = nxl, nxr
	1242	DO j = nysv, nyn
	1243	DO k = nzb_v_inner(j,i)+1, nzt
	1244	tv_m(k,j,i) = tend(k,j,i)
	1245	ENDDO
	1246	ENDDO
	1247	ENDDO
	1248	ELSEIF ( intermediate_timestep_count < &
	1249	intermediate_timestep_count_max ) THEN
	1250	DO i = nxl, nxr
	1251	DO j = nysv, nyn
	1252	DO k = nzb_v_inner(j,i)+1, nzt
	1253	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1254	ENDDO
	1255	ENDDO
	1256	ENDDO
	1257	ENDIF
	1258	ENDIF
	1259
	1260	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1261
	1262	!
	1263	!-- w-velocity component
	1264	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1265
	1266	tend = 0.0_wp
	1267	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1268	IF ( ws_scheme_mom ) THEN
	1269	CALL advec_w_ws
	1270	ELSE
	1271	CALL advec_w_pw
	1272	ENDIF
	1273	ELSE
	1274	CALL advec_w_up
	1275	ENDIF
	1276	CALL diffusion_w
	1277	CALL coriolis( 3 )
	1278
	1279	IF ( .NOT. neutral ) THEN
	1280	IF ( ocean ) THEN
[2031]	1281	CALL buoyancy( rho_ocean, 3 )
[1875]	1282	ELSE
	1283	IF ( .NOT. humidity ) THEN
	1284	CALL buoyancy( pt, 3 )
	1285	ELSE
	1286	CALL buoyancy( vpt, 3 )
	1287	ENDIF
	1288	ENDIF
	1289	ENDIF
	1290
	1291	!
	1292	!-- Drag by plant canopy
	1293	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1294
[1914]	1295	!
	1296	!-- Forces by wind turbines
	1297	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1298
[1875]	1299	CALL user_actions( 'w-tendency' )
	1300
	1301	!
	1302	!-- Prognostic equation for w-velocity component
	1303	DO i = nxl, nxr
	1304	DO j = nys, nyn
	1305	DO k = nzb_w_inner(j,i)+1, nzt-1
	1306	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1307	tsc(3) * tw_m(k,j,i) ) &
	1308	- tsc(5) * rdf(k) * w(k,j,i)
	1309	ENDDO
	1310	ENDDO
	1311	ENDDO
	1312
	1313	!
	1314	!-- Calculate tendencies for the next Runge-Kutta step
	1315	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1316	IF ( intermediate_timestep_count == 1 ) THEN
	1317	DO i = nxl, nxr
	1318	DO j = nys, nyn
	1319	DO k = nzb_w_inner(j,i)+1, nzt-1
	1320	tw_m(k,j,i) = tend(k,j,i)
	1321	ENDDO
	1322	ENDDO
	1323	ENDDO
	1324	ELSEIF ( intermediate_timestep_count < &
	1325	intermediate_timestep_count_max ) THEN
	1326	DO i = nxl, nxr
	1327	DO j = nys, nyn
	1328	DO k = nzb_w_inner(j,i)+1, nzt-1
	1329	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	1330	ENDDO
	1331	ENDDO
	1332	ENDDO
	1333	ENDIF
	1334	ENDIF
	1335
	1336	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1337
	1338
	1339	!
	1340	!-- If required, compute prognostic equation for potential temperature
	1341	IF ( .NOT. neutral ) THEN
	1342
	1343	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1344
	1345	!
	1346	!-- pt-tendency terms with communication
	1347	sbt = tsc(2)
	1348	IF ( scalar_advec == 'bc-scheme' ) THEN
	1349
	1350	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1351	!
	1352	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1353	sbt = 1.0_wp
	1354	ENDIF
	1355	tend = 0.0_wp
	1356	CALL advec_s_bc( pt, 'pt' )
	1357
	1358	ENDIF
	1359
	1360	!
	1361	!-- pt-tendency terms with no communication
	1362	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1363	tend = 0.0_wp
	1364	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1365	IF ( ws_scheme_sca ) THEN
	1366	CALL advec_s_ws( pt, 'pt' )
	1367	ELSE
	1368	CALL advec_s_pw( pt )
	1369	ENDIF
	1370	ELSE
	1371	CALL advec_s_up( pt )
	1372	ENDIF
	1373	ENDIF
	1374
	1375	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1376
	1377	!
[2007]	1378	!-- Tendency pt from wall heat flux from urban surface
	1379	IF ( urban_surface ) THEN
	1380	CALL usm_wall_heat_flux
	1381	ENDIF
	1382
	1383	!
[1875]	1384	!-- If required compute heating/cooling due to long wave radiation processes
	1385	IF ( cloud_top_radiation ) THEN
	1386	CALL calc_radiation
	1387	ENDIF
	1388
	1389	!
	1390	!-- Consideration of heat sources within the plant canopy
	1391	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1392	CALL pcm_tendency( 4 )
	1393	ENDIF
	1394
	1395	!
	1396	!-- Large scale advection
	1397	IF ( large_scale_forcing ) THEN
	1398	CALL ls_advec( simulated_time, 'pt' )
	1399	ENDIF
	1400
	1401	!
	1402	!-- Nudging
[2155]	1403	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1404
	1405	!
	1406	!-- If required compute influence of large-scale subsidence/ascent
	1407	IF ( large_scale_subsidence .AND. &
	1408	.NOT. use_subsidence_tendencies ) THEN
	1409	CALL subsidence( tend, pt, pt_init, 2 )
	1410	ENDIF
	1411
	1412	!
	1413	!-- If required, add tendency due to radiative heating/cooling
[1976]	1414	IF ( radiation .AND. &
[1875]	1415	simulated_time > skip_time_do_radiation ) THEN
	1416	CALL radiation_tendency ( tend )
	1417	ENDIF
	1418
	1419	CALL user_actions( 'pt-tendency' )
	1420
	1421	!
	1422	!-- Prognostic equation for potential temperature
	1423	DO i = nxl, nxr
	1424	DO j = nys, nyn
	1425	DO k = nzb_s_inner(j,i)+1, nzt
	1426	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1427	tsc(3) * tpt_m(k,j,i) ) &
	1428	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1429	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	1430	ENDDO
	1431	ENDDO
	1432	ENDDO
	1433
	1434	!
	1435	!-- Calculate tendencies for the next Runge-Kutta step
	1436	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1437	IF ( intermediate_timestep_count == 1 ) THEN
	1438	DO i = nxl, nxr
	1439	DO j = nys, nyn
	1440	DO k = nzb_s_inner(j,i)+1, nzt
	1441	tpt_m(k,j,i) = tend(k,j,i)
	1442	ENDDO
	1443	ENDDO
	1444	ENDDO
	1445	ELSEIF ( intermediate_timestep_count < &
	1446	intermediate_timestep_count_max ) THEN
	1447	DO i = nxl, nxr
	1448	DO j = nys, nyn
	1449	DO k = nzb_s_inner(j,i)+1, nzt
	1450	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1451	5.3125_wp * tpt_m(k,j,i)
	1452	ENDDO
	1453	ENDDO
	1454	ENDDO
	1455	ENDIF
	1456	ENDIF
	1457
	1458	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1459
	1460	ENDIF
	1461
	1462	!
	1463	!-- If required, compute prognostic equation for salinity
	1464	IF ( ocean ) THEN
	1465
	1466	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1467
	1468	!
	1469	!-- sa-tendency terms with communication
	1470	sbt = tsc(2)
	1471	IF ( scalar_advec == 'bc-scheme' ) THEN
	1472
	1473	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1474	!
	1475	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1476	sbt = 1.0_wp
	1477	ENDIF
	1478	tend = 0.0_wp
	1479	CALL advec_s_bc( sa, 'sa' )
	1480
	1481	ENDIF
	1482
	1483	!
	1484	!-- sa-tendency terms with no communication
	1485	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1486	tend = 0.0_wp
	1487	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1488	IF ( ws_scheme_sca ) THEN
	1489	CALL advec_s_ws( sa, 'sa' )
	1490	ELSE
	1491	CALL advec_s_pw( sa )
	1492	ENDIF
	1493	ELSE
	1494	CALL advec_s_up( sa )
	1495	ENDIF
	1496	ENDIF
	1497
	1498	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[2155]	1499
[1875]	1500	CALL user_actions( 'sa-tendency' )
	1501
	1502	!
	1503	!-- Prognostic equation for salinity
	1504	DO i = nxl, nxr
	1505	DO j = nys, nyn
	1506	DO k = nzb_s_inner(j,i)+1, nzt
	1507	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1508	tsc(3) * tsa_m(k,j,i) ) &
	1509	- tsc(5) * rdf_sc(k) * &
	1510	( sa(k,j,i) - sa_init(k) )
	1511	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1512	ENDDO
	1513	ENDDO
	1514	ENDDO
	1515
	1516	!
	1517	!-- Calculate tendencies for the next Runge-Kutta step
	1518	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1519	IF ( intermediate_timestep_count == 1 ) THEN
	1520	DO i = nxl, nxr
	1521	DO j = nys, nyn
	1522	DO k = nzb_s_inner(j,i)+1, nzt
	1523	tsa_m(k,j,i) = tend(k,j,i)
	1524	ENDDO
	1525	ENDDO
	1526	ENDDO
	1527	ELSEIF ( intermediate_timestep_count < &
	1528	intermediate_timestep_count_max ) THEN
	1529	DO i = nxl, nxr
	1530	DO j = nys, nyn
	1531	DO k = nzb_s_inner(j,i)+1, nzt
	1532	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1533	5.3125_wp * tsa_m(k,j,i)
	1534	ENDDO
	1535	ENDDO
	1536	ENDDO
	1537	ENDIF
	1538	ENDIF
	1539
	1540	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1541
	1542	!
	1543	!-- Calculate density by the equation of state for seawater
	1544	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1545	CALL eqn_state_seawater
	1546	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1547
	1548	ENDIF
	1549
	1550	!
[1960]	1551	!-- If required, compute prognostic equation for total water content
	1552	IF ( humidity ) THEN
[1875]	1553
[1960]	1554	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1555
	1556	!
	1557	!-- Scalar/q-tendency terms with communication
	1558	sbt = tsc(2)
	1559	IF ( scalar_advec == 'bc-scheme' ) THEN
	1560
	1561	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1562	!
	1563	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1564	sbt = 1.0_wp
	1565	ENDIF
	1566	tend = 0.0_wp
	1567	CALL advec_s_bc( q, 'q' )
	1568
	1569	ENDIF
	1570
	1571	!
	1572	!-- Scalar/q-tendency terms with no communication
	1573	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1574	tend = 0.0_wp
	1575	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1576	IF ( ws_scheme_sca ) THEN
	1577	CALL advec_s_ws( q, 'q' )
	1578	ELSE
	1579	CALL advec_s_pw( q )
	1580	ENDIF
	1581	ELSE
	1582	CALL advec_s_up( q )
	1583	ENDIF
	1584	ENDIF
	1585
	1586	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[2155]	1587
[1875]	1588	!
[1960]	1589	!-- Sink or source of humidity due to canopy elements
[1875]	1590	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1591
	1592	!
	1593	!-- Large scale advection
	1594	IF ( large_scale_forcing ) THEN
	1595	CALL ls_advec( simulated_time, 'q' )
	1596	ENDIF
	1597
	1598	!
	1599	!-- Nudging
[2155]	1600	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1601
	1602	!
	1603	!-- If required compute influence of large-scale subsidence/ascent
	1604	IF ( large_scale_subsidence .AND. &
	1605	.NOT. use_subsidence_tendencies ) THEN
	1606	CALL subsidence( tend, q, q_init, 3 )
	1607	ENDIF
	1608
	1609	CALL user_actions( 'q-tendency' )
	1610
	1611	!
[1960]	1612	!-- Prognostic equation for total water content
[1875]	1613	DO i = nxl, nxr
	1614	DO j = nys, nyn
	1615	DO k = nzb_s_inner(j,i)+1, nzt
	1616	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1617	tsc(3) * tq_m(k,j,i) ) &
	1618	- tsc(5) * rdf_sc(k) * &
	1619	( q(k,j,i) - q_init(k) )
	1620	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1621	ENDDO
	1622	ENDDO
	1623	ENDDO
	1624
	1625	!
	1626	!-- Calculate tendencies for the next Runge-Kutta step
	1627	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1628	IF ( intermediate_timestep_count == 1 ) THEN
	1629	DO i = nxl, nxr
	1630	DO j = nys, nyn
	1631	DO k = nzb_s_inner(j,i)+1, nzt
	1632	tq_m(k,j,i) = tend(k,j,i)
	1633	ENDDO
	1634	ENDDO
	1635	ENDDO
	1636	ELSEIF ( intermediate_timestep_count < &
	1637	intermediate_timestep_count_max ) THEN
	1638	DO i = nxl, nxr
	1639	DO j = nys, nyn
	1640	DO k = nzb_s_inner(j,i)+1, nzt
	1641	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	1642	ENDDO
	1643	ENDDO
	1644	ENDDO
	1645	ENDIF
	1646	ENDIF
	1647
[1960]	1648	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1649
	1650	!
[2155]	1651	!-- If required, calculate prognostic equations for rain water content
[1875]	1652	!-- and rain drop concentration
	1653	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1654
	1655	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1656
	1657	!
	1658	!-- Calculate prognostic equation for rain water content
	1659	sbt = tsc(2)
	1660	IF ( scalar_advec == 'bc-scheme' ) THEN
	1661
	1662	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1663	!
	1664	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1665	sbt = 1.0_wp
	1666	ENDIF
	1667	tend = 0.0_wp
	1668	CALL advec_s_bc( qr, 'qr' )
	1669
	1670	ENDIF
	1671
	1672	!
	1673	!-- qr-tendency terms with no communication
	1674	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1675	tend = 0.0_wp
	1676	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1677	IF ( ws_scheme_sca ) THEN
	1678	CALL advec_s_ws( qr, 'qr' )
	1679	ELSE
	1680	CALL advec_s_pw( qr )
	1681	ENDIF
	1682	ELSE
	1683	CALL advec_s_up( qr )
	1684	ENDIF
	1685	ENDIF
	1686
	1687	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1688
	1689	!
	1690	!-- Prognostic equation for rain water content
	1691	DO i = nxl, nxr
	1692	DO j = nys, nyn
	1693	DO k = nzb_s_inner(j,i)+1, nzt
	1694	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1695	tsc(3) * tqr_m(k,j,i) ) &
	1696	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1697	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1698	ENDDO
	1699	ENDDO
	1700	ENDDO
	1701
	1702	!
	1703	!-- Calculate tendencies for the next Runge-Kutta step
	1704	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1705	IF ( intermediate_timestep_count == 1 ) THEN
	1706	DO i = nxl, nxr
	1707	DO j = nys, nyn
	1708	DO k = nzb_s_inner(j,i)+1, nzt
	1709	tqr_m(k,j,i) = tend(k,j,i)
	1710	ENDDO
	1711	ENDDO
	1712	ENDDO
	1713	ELSEIF ( intermediate_timestep_count < &
	1714	intermediate_timestep_count_max ) THEN
	1715	DO i = nxl, nxr
	1716	DO j = nys, nyn
	1717	DO k = nzb_s_inner(j,i)+1, nzt
	1718	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1719	tqr_m(k,j,i)
	1720	ENDDO
	1721	ENDDO
	1722	ENDDO
	1723	ENDIF
	1724	ENDIF
	1725
	1726	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1727	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1728
	1729	!
	1730	!-- Calculate prognostic equation for rain drop concentration
	1731	sbt = tsc(2)
	1732	IF ( scalar_advec == 'bc-scheme' ) THEN
	1733
	1734	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1735	!
	1736	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1737	sbt = 1.0_wp
	1738	ENDIF
	1739	tend = 0.0_wp
	1740	CALL advec_s_bc( nr, 'nr' )
	1741
	1742	ENDIF
	1743
	1744	!
	1745	!-- nr-tendency terms with no communication
	1746	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1747	tend = 0.0_wp
	1748	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1749	IF ( ws_scheme_sca ) THEN
	1750	CALL advec_s_ws( nr, 'nr' )
	1751	ELSE
	1752	CALL advec_s_pw( nr )
	1753	ENDIF
	1754	ELSE
	1755	CALL advec_s_up( nr )
	1756	ENDIF
	1757	ENDIF
	1758
	1759	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1760
	1761	!
	1762	!-- Prognostic equation for rain drop concentration
	1763	DO i = nxl, nxr
	1764	DO j = nys, nyn
	1765	DO k = nzb_s_inner(j,i)+1, nzt
	1766	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1767	tsc(3) * tnr_m(k,j,i) ) &
	1768	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1769	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1770	ENDDO
	1771	ENDDO
	1772	ENDDO
	1773
	1774	!
	1775	!-- Calculate tendencies for the next Runge-Kutta step
	1776	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1777	IF ( intermediate_timestep_count == 1 ) THEN
	1778	DO i = nxl, nxr
	1779	DO j = nys, nyn
	1780	DO k = nzb_s_inner(j,i)+1, nzt
	1781	tnr_m(k,j,i) = tend(k,j,i)
	1782	ENDDO
	1783	ENDDO
	1784	ENDDO
	1785	ELSEIF ( intermediate_timestep_count < &
	1786	intermediate_timestep_count_max ) THEN
	1787	DO i = nxl, nxr
	1788	DO j = nys, nyn
	1789	DO k = nzb_s_inner(j,i)+1, nzt
	1790	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1791	tnr_m(k,j,i)
	1792	ENDDO
	1793	ENDDO
	1794	ENDDO
	1795	ENDIF
	1796	ENDIF
	1797
	1798	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1799
	1800	ENDIF
	1801
	1802	ENDIF
[1960]	1803	!
	1804	!-- If required, compute prognostic equation for scalar
	1805	IF ( passive_scalar ) THEN
[1875]	1806
[1960]	1807	CALL cpu_log( log_point(66), 's-equation', 'start' )
	1808
[1875]	1809	!
[1960]	1810	!-- Scalar/q-tendency terms with communication
	1811	sbt = tsc(2)
	1812	IF ( scalar_advec == 'bc-scheme' ) THEN
	1813
	1814	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1815	!
	1816	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1817	sbt = 1.0_wp
	1818	ENDIF
	1819	tend = 0.0_wp
	1820	CALL advec_s_bc( s, 's' )
	1821
	1822	ENDIF
	1823
	1824	!
	1825	!-- Scalar/q-tendency terms with no communication
	1826	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1827	tend = 0.0_wp
	1828	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1829	IF ( ws_scheme_sca ) THEN
	1830	CALL advec_s_ws( s, 's' )
	1831	ELSE
	1832	CALL advec_s_pw( s )
	1833	ENDIF
	1834	ELSE
	1835	CALL advec_s_up( s )
	1836	ENDIF
	1837	ENDIF
	1838
	1839	CALL diffusion_s( s, ssws, sswst, wall_sflux )
[2155]	1840
[1960]	1841	!
	1842	!-- Sink or source of humidity due to canopy elements
	1843	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	1844
	1845	!
	1846	!-- Large scale advection. Not implemented for scalars so far.
	1847	! IF ( large_scale_forcing ) THEN
	1848	! CALL ls_advec( simulated_time, 'q' )
	1849	! ENDIF
	1850
	1851	!
	1852	!-- Nudging. Not implemented for scalars so far.
[2155]	1853	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	1854
	1855	!
	1856	!-- If required compute influence of large-scale subsidence/ascent.
	1857	!-- Not implemented for scalars so far.
	1858	IF ( large_scale_subsidence .AND. &
	1859	.NOT. use_subsidence_tendencies .AND. &
	1860	.NOT. large_scale_forcing ) THEN
	1861	CALL subsidence( tend, s, s_init, 3 )
	1862	ENDIF
	1863
	1864	CALL user_actions( 's-tendency' )
	1865
	1866	!
	1867	!-- Prognostic equation for total water content
	1868	DO i = nxl, nxr
	1869	DO j = nys, nyn
	1870	DO k = nzb_s_inner(j,i)+1, nzt
	1871	s_p(k,j,i) = s(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1872	tsc(3) * ts_m(k,j,i) ) &
	1873	- tsc(5) * rdf_sc(k) * &
	1874	( s(k,j,i) - s_init(k) )
	1875	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1876	ENDDO
	1877	ENDDO
	1878	ENDDO
	1879
	1880	!
	1881	!-- Calculate tendencies for the next Runge-Kutta step
	1882	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1883	IF ( intermediate_timestep_count == 1 ) THEN
	1884	DO i = nxl, nxr
	1885	DO j = nys, nyn
	1886	DO k = nzb_s_inner(j,i)+1, nzt
	1887	ts_m(k,j,i) = tend(k,j,i)
	1888	ENDDO
	1889	ENDDO
	1890	ENDDO
	1891	ELSEIF ( intermediate_timestep_count < &
	1892	intermediate_timestep_count_max ) THEN
	1893	DO i = nxl, nxr
	1894	DO j = nys, nyn
	1895	DO k = nzb_s_inner(j,i)+1, nzt
	1896	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * ts_m(k,j,i)
	1897	ENDDO
	1898	ENDDO
	1899	ENDDO
	1900	ENDIF
	1901	ENDIF
	1902
	1903	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	1904
	1905	ENDIF
	1906	!
[2155]	1907	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	1908	!-- energy (TKE)
	1909	IF ( .NOT. constant_diffusion ) THEN
	1910
	1911	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1912
	1913	sbt = tsc(2)
	1914	IF ( .NOT. use_upstream_for_tke ) THEN
	1915	IF ( scalar_advec == 'bc-scheme' ) THEN
	1916
	1917	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1918	!
	1919	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1920	sbt = 1.0_wp
	1921	ENDIF
	1922	tend = 0.0_wp
	1923	CALL advec_s_bc( e, 'e' )
	1924
	1925	ENDIF
	1926	ENDIF
	1927
	1928	!
	1929	!-- TKE-tendency terms with no communication
	1930	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	1931	IF ( use_upstream_for_tke ) THEN
	1932	tend = 0.0_wp
	1933	CALL advec_s_up( e )
	1934	ELSE
	1935	tend = 0.0_wp
	1936	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1937	IF ( ws_scheme_sca ) THEN
	1938	CALL advec_s_ws( e, 'e' )
[2155]	1939	ELSE
[1875]	1940	CALL advec_s_pw( e )
	1941	ENDIF
	1942	ELSE
	1943	CALL advec_s_up( e )
	1944	ENDIF
	1945	ENDIF
	1946	ENDIF
	1947
	1948	IF ( .NOT. humidity ) THEN
	1949	IF ( ocean ) THEN
	1950	CALL diffusion_e( prho, prho_reference )
	1951	ELSE
	1952	CALL diffusion_e( pt, pt_reference )
	1953	ENDIF
	1954	ELSE
	1955	CALL diffusion_e( vpt, pt_reference )
	1956	ENDIF
	1957
	1958	CALL production_e
	1959
	1960	!
	1961	!-- Additional sink term for flows through plant canopies
	1962	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	1963	CALL user_actions( 'e-tendency' )
	1964
	1965	!
	1966	!-- Prognostic equation for TKE.
	1967	!-- Eliminate negative TKE values, which can occur due to numerical
	1968	!-- reasons in the course of the integration. In such cases the old TKE
	1969	!-- value is reduced by 90%.
	1970	DO i = nxl, nxr
	1971	DO j = nys, nyn
	1972	DO k = nzb_s_inner(j,i)+1, nzt
	1973	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1974	tsc(3) * te_m(k,j,i) )
	1975	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1976	ENDDO
	1977	ENDDO
	1978	ENDDO
	1979
	1980	!
	1981	!-- Calculate tendencies for the next Runge-Kutta step
	1982	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1983	IF ( intermediate_timestep_count == 1 ) THEN
	1984	DO i = nxl, nxr
	1985	DO j = nys, nyn
	1986	DO k = nzb_s_inner(j,i)+1, nzt
	1987	te_m(k,j,i) = tend(k,j,i)
	1988	ENDDO
	1989	ENDDO
	1990	ENDDO
	1991	ELSEIF ( intermediate_timestep_count < &
	1992	intermediate_timestep_count_max ) THEN
	1993	DO i = nxl, nxr
	1994	DO j = nys, nyn
	1995	DO k = nzb_s_inner(j,i)+1, nzt
	1996	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	1997	ENDDO
	1998	ENDDO
	1999	ENDDO
	2000	ENDIF
	2001	ENDIF
	2002
	2003	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2004
	2005	ENDIF
	2006
	2007	END SUBROUTINE prognostic_equations_vector
	2008
	2009
	2010	END MODULE prognostic_equations_mod

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