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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2169

Last change on this file since 2169 was 2156, checked in by hoffmann, 8 years ago
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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	!
	23	!
[1875]	24	! Former revisions:
	25	! -----------------
	26	! $Id: prognostic_equations.f90 2156 2017-02-21 10:01:49Z suehring $
	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	!
	396	!-- Loop over all prognostic equations
	397	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	398
[2155]	399	!$ tn = omp_get_thread_num()
[1875]	400	loop_start = .TRUE.
	401	!$OMP DO
[2155]	402
	403	!
	404	!-- If required, calculate cloud microphysics
	405	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	406	( intermediate_timestep_count == 1 .OR. &
	407	call_microphysics_at_all_substeps ) &
	408	) THEN
	409	DO i = nxlg, nxrg
	410	DO j = nysg, nyng
	411	CALL microphysics_control( i, j )
	412	END DO
	413	END DO
	414	ENDIF
	415
[1875]	416	DO i = nxl, nxr
	417
	418	!
	419	!-- Store the first loop index. It differs for each thread and is required
	420	!-- later in advec_ws
	421	IF ( loop_start ) THEN
	422	loop_start = .FALSE.
[2155]	423	i_omp_start = i
[1875]	424	ENDIF
	425
	426	DO j = nys, nyn
	427	!
	428	!-- Tendency terms for u-velocity component
	429	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	430
	431	tend(:,j,i) = 0.0_wp
	432	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	433	IF ( ws_scheme_mom ) THEN
	434	CALL advec_u_ws( i, j, i_omp_start, tn )
[2155]	435	ELSE
[1875]	436	CALL advec_u_pw( i, j )
[2155]	437	ENDIF
[1875]	438	ELSE
	439	CALL advec_u_up( i, j )
	440	ENDIF
	441	CALL diffusion_u( i, j )
	442	CALL coriolis( i, j, 1 )
	443	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	444	CALL buoyancy( i, j, pt, 1 )
	445	ENDIF
	446
	447	!
	448	!-- Drag by plant canopy
	449	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	450
	451	!
	452	!-- External pressure gradient
	453	IF ( dp_external ) THEN
	454	DO k = dp_level_ind_b+1, nzt
	455	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	456	ENDDO
	457	ENDIF
	458
	459	!
	460	!-- Nudging
	461	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	462
[1914]	463	!
	464	!-- Forces by wind turbines
	465	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	466
[1875]	467	CALL user_actions( i, j, 'u-tendency' )
	468	!
	469	!-- Prognostic equation for u-velocity component
	470	DO k = nzb_u_inner(j,i)+1, nzt
	471	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	472	tsc(3) * tu_m(k,j,i) ) &
	473	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	474	ENDDO
	475
	476	!
	477	!-- Calculate tendencies for the next Runge-Kutta step
	478	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	479	IF ( intermediate_timestep_count == 1 ) THEN
	480	DO k = nzb_u_inner(j,i)+1, nzt
	481	tu_m(k,j,i) = tend(k,j,i)
	482	ENDDO
	483	ELSEIF ( intermediate_timestep_count < &
	484	intermediate_timestep_count_max ) THEN
	485	DO k = nzb_u_inner(j,i)+1, nzt
	486	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	487	ENDDO
	488	ENDIF
	489	ENDIF
	490
	491	ENDIF
	492
	493	!
	494	!-- Tendency terms for v-velocity component
	495	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	496
	497	tend(:,j,i) = 0.0_wp
	498	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	499	IF ( ws_scheme_mom ) THEN
	500	CALL advec_v_ws( i, j, i_omp_start, tn )
[2155]	501	ELSE
[1875]	502	CALL advec_v_pw( i, j )
	503	ENDIF
	504	ELSE
	505	CALL advec_v_up( i, j )
	506	ENDIF
	507	CALL diffusion_v( i, j )
	508	CALL coriolis( i, j, 2 )
	509
	510	!
	511	!-- Drag by plant canopy
[2155]	512	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[1875]	513
	514	!
	515	!-- External pressure gradient
	516	IF ( dp_external ) THEN
	517	DO k = dp_level_ind_b+1, nzt
	518	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	519	ENDDO
	520	ENDIF
	521
	522	!
	523	!-- Nudging
	524	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	525
[1914]	526	!
	527	!-- Forces by wind turbines
	528	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	529
[1875]	530	CALL user_actions( i, j, 'v-tendency' )
	531	!
	532	!-- Prognostic equation for v-velocity component
	533	DO k = nzb_v_inner(j,i)+1, nzt
	534	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	535	tsc(3) * tv_m(k,j,i) ) &
	536	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	537	ENDDO
	538
	539	!
	540	!-- Calculate tendencies for the next Runge-Kutta step
	541	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	542	IF ( intermediate_timestep_count == 1 ) THEN
	543	DO k = nzb_v_inner(j,i)+1, nzt
	544	tv_m(k,j,i) = tend(k,j,i)
	545	ENDDO
	546	ELSEIF ( intermediate_timestep_count < &
	547	intermediate_timestep_count_max ) THEN
	548	DO k = nzb_v_inner(j,i)+1, nzt
	549	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	550	ENDDO
	551	ENDIF
	552	ENDIF
	553
	554	ENDIF
	555
	556	!
	557	!-- Tendency terms for w-velocity component
	558	tend(:,j,i) = 0.0_wp
	559	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	560	IF ( ws_scheme_mom ) THEN
	561	CALL advec_w_ws( i, j, i_omp_start, tn )
[2155]	562	ELSE
[1875]	563	CALL advec_w_pw( i, j )
	564	END IF
	565	ELSE
	566	CALL advec_w_up( i, j )
	567	ENDIF
	568	CALL diffusion_w( i, j )
	569	CALL coriolis( i, j, 3 )
	570
	571	IF ( .NOT. neutral ) THEN
	572	IF ( ocean ) THEN
[2031]	573	CALL buoyancy( i, j, rho_ocean, 3 )
[1875]	574	ELSE
	575	IF ( .NOT. humidity ) THEN
	576	CALL buoyancy( i, j, pt, 3 )
	577	ELSE
	578	CALL buoyancy( i, j, vpt, 3 )
	579	ENDIF
	580	ENDIF
	581	ENDIF
	582
	583	!
	584	!-- Drag by plant canopy
	585	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	586
[1914]	587	!
	588	!-- Forces by wind turbines
	589	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	590
[1875]	591	CALL user_actions( i, j, 'w-tendency' )
	592
	593	!
	594	!-- Prognostic equation for w-velocity component
	595	DO k = nzb_w_inner(j,i)+1, nzt-1
	596	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	597	tsc(3) * tw_m(k,j,i) ) &
	598	- tsc(5) * rdf(k) * w(k,j,i)
	599	ENDDO
	600
	601	!
	602	!-- Calculate tendencies for the next Runge-Kutta step
	603	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	604	IF ( intermediate_timestep_count == 1 ) THEN
	605	DO k = nzb_w_inner(j,i)+1, nzt-1
	606	tw_m(k,j,i) = tend(k,j,i)
	607	ENDDO
	608	ELSEIF ( intermediate_timestep_count < &
	609	intermediate_timestep_count_max ) THEN
	610	DO k = nzb_w_inner(j,i)+1, nzt-1
	611	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	612	ENDDO
	613	ENDIF
	614	ENDIF
	615
	616	!
	617	!-- If required, compute prognostic equation for potential temperature
	618	IF ( .NOT. neutral ) THEN
	619	!
	620	!-- Tendency terms for potential temperature
	621	tend(:,j,i) = 0.0_wp
	622	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	623	IF ( ws_scheme_sca ) THEN
	624	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	625	flux_l_pt, diss_l_pt, i_omp_start, tn )
	626	ELSE
	627	CALL advec_s_pw( i, j, pt )
	628	ENDIF
	629	ELSE
	630	CALL advec_s_up( i, j, pt )
	631	ENDIF
	632	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
	633
	634	!
[2007]	635	!-- Tendency pt from wall heat flux from urban surface
	636	IF ( urban_surface ) THEN
	637	CALL usm_wall_heat_flux( i, j )
	638	ENDIF
	639
	640	!
[1875]	641	!-- If required compute heating/cooling due to long wave radiation
	642	!-- processes
	643	IF ( cloud_top_radiation ) THEN
	644	CALL calc_radiation( i, j )
	645	ENDIF
	646
	647	!
	648	!-- Consideration of heat sources within the plant canopy
	649	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	650	CALL pcm_tendency( i, j, 4 )
	651	ENDIF
	652
	653	!
	654	!-- Large scale advection
	655	IF ( large_scale_forcing ) THEN
	656	CALL ls_advec( i, j, simulated_time, 'pt' )
[2155]	657	ENDIF
[1875]	658
	659	!
	660	!-- Nudging
[2155]	661	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
[1875]	662
	663	!
	664	!-- If required, compute effect of large-scale subsidence/ascent
	665	IF ( large_scale_subsidence .AND. &
	666	.NOT. use_subsidence_tendencies ) THEN
	667	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	668	ENDIF
	669
	670	!
	671	!-- If required, add tendency due to radiative heating/cooling
[1976]	672	IF ( radiation .AND. &
[1875]	673	simulated_time > skip_time_do_radiation ) THEN
	674	CALL radiation_tendency ( i, j, tend )
	675	ENDIF
	676
	677
	678	CALL user_actions( i, j, 'pt-tendency' )
	679
	680	!
	681	!-- Prognostic equation for potential temperature
	682	DO k = nzb_s_inner(j,i)+1, nzt
	683	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	684	tsc(3) * tpt_m(k,j,i) ) &
	685	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	686	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	687	ENDDO
	688
	689	!
	690	!-- Calculate tendencies for the next Runge-Kutta step
	691	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	692	IF ( intermediate_timestep_count == 1 ) THEN
	693	DO k = nzb_s_inner(j,i)+1, nzt
	694	tpt_m(k,j,i) = tend(k,j,i)
	695	ENDDO
	696	ELSEIF ( intermediate_timestep_count < &
	697	intermediate_timestep_count_max ) THEN
	698	DO k = nzb_s_inner(j,i)+1, nzt
	699	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	700	5.3125_wp * tpt_m(k,j,i)
	701	ENDDO
	702	ENDIF
	703	ENDIF
	704
	705	ENDIF
	706
	707	!
	708	!-- If required, compute prognostic equation for salinity
	709	IF ( ocean ) THEN
	710
	711	!
	712	!-- Tendency-terms for salinity
	713	tend(:,j,i) = 0.0_wp
	714	IF ( timestep_scheme(1:5) == 'runge' ) &
	715	THEN
	716	IF ( ws_scheme_sca ) THEN
	717	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	718	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
[2155]	719	ELSE
[1875]	720	CALL advec_s_pw( i, j, sa )
	721	ENDIF
	722	ELSE
	723	CALL advec_s_up( i, j, sa )
	724	ENDIF
	725	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
	726
	727	CALL user_actions( i, j, 'sa-tendency' )
	728
	729	!
	730	!-- Prognostic equation for salinity
	731	DO k = nzb_s_inner(j,i)+1, nzt
	732	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	733	tsc(3) * tsa_m(k,j,i) ) &
	734	- tsc(5) * rdf_sc(k) * &
	735	( sa(k,j,i) - sa_init(k) )
	736	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	737	ENDDO
	738
	739	!
	740	!-- Calculate tendencies for the next Runge-Kutta step
	741	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	742	IF ( intermediate_timestep_count == 1 ) THEN
	743	DO k = nzb_s_inner(j,i)+1, nzt
	744	tsa_m(k,j,i) = tend(k,j,i)
	745	ENDDO
	746	ELSEIF ( intermediate_timestep_count < &
	747	intermediate_timestep_count_max ) THEN
	748	DO k = nzb_s_inner(j,i)+1, nzt
	749	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	750	5.3125_wp * tsa_m(k,j,i)
	751	ENDDO
	752	ENDIF
	753	ENDIF
	754
	755	!
	756	!-- Calculate density by the equation of state for seawater
	757	CALL eqn_state_seawater( i, j )
	758
	759	ENDIF
	760
	761	!
[1960]	762	!-- If required, compute prognostic equation for total water content
	763	IF ( humidity ) THEN
[1875]	764
	765	!
	766	!-- Tendency-terms for total water content / scalar
	767	tend(:,j,i) = 0.0_wp
	768	IF ( timestep_scheme(1:5) == 'runge' ) &
	769	THEN
	770	IF ( ws_scheme_sca ) THEN
[2155]	771	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
[1875]	772	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
[2155]	773	ELSE
[1875]	774	CALL advec_s_pw( i, j, q )
	775	ENDIF
	776	ELSE
	777	CALL advec_s_up( i, j, q )
	778	ENDIF
	779	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
	780
	781	!
[1960]	782	!-- Sink or source of humidity due to canopy elements
[1875]	783	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	784
	785	!
	786	!-- Large scale advection
	787	IF ( large_scale_forcing ) THEN
	788	CALL ls_advec( i, j, simulated_time, 'q' )
	789	ENDIF
	790
	791	!
	792	!-- Nudging
[2155]	793	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
[1875]	794
	795	!
	796	!-- If required compute influence of large-scale subsidence/ascent
	797	IF ( large_scale_subsidence .AND. &
	798	.NOT. use_subsidence_tendencies ) THEN
	799	CALL subsidence( i, j, tend, q, q_init, 3 )
	800	ENDIF
	801
	802	CALL user_actions( i, j, 'q-tendency' )
	803
	804	!
	805	!-- Prognostic equation for total water content / scalar
	806	DO k = nzb_s_inner(j,i)+1, nzt
	807	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	808	tsc(3) * tq_m(k,j,i) ) &
	809	- tsc(5) * rdf_sc(k) * &
	810	( q(k,j,i) - q_init(k) )
	811	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	812	ENDDO
	813
	814	!
	815	!-- Calculate tendencies for the next Runge-Kutta step
	816	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	817	IF ( intermediate_timestep_count == 1 ) THEN
	818	DO k = nzb_s_inner(j,i)+1, nzt
	819	tq_m(k,j,i) = tend(k,j,i)
	820	ENDDO
	821	ELSEIF ( intermediate_timestep_count < &
	822	intermediate_timestep_count_max ) THEN
	823	DO k = nzb_s_inner(j,i)+1, nzt
	824	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	825	5.3125_wp * tq_m(k,j,i)
	826	ENDDO
	827	ENDIF
	828	ENDIF
	829
	830	!
[2155]	831	!-- If required, calculate prognostic equations for rain water content
[1875]	832	!-- and rain drop concentration
	833	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	834	!
	835	!-- Calculate prognostic equation for rain water content
	836	tend(:,j,i) = 0.0_wp
	837	IF ( timestep_scheme(1:5) == 'runge' ) &
	838	THEN
	839	IF ( ws_scheme_sca ) THEN
[2155]	840	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
[1875]	841	diss_s_qr, flux_l_qr, diss_l_qr, &
	842	i_omp_start, tn )
[2155]	843	ELSE
[1875]	844	CALL advec_s_pw( i, j, qr )
	845	ENDIF
	846	ELSE
	847	CALL advec_s_up( i, j, qr )
	848	ENDIF
	849	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	850
	851	!
	852	!-- Prognostic equation for rain water content
	853	DO k = nzb_s_inner(j,i)+1, nzt
	854	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	855	tsc(3) * tqr_m(k,j,i) ) &
	856	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	857	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	858	ENDDO
	859	!
	860	!-- Calculate tendencies for the next Runge-Kutta step
	861	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	862	IF ( intermediate_timestep_count == 1 ) THEN
	863	DO k = nzb_s_inner(j,i)+1, nzt
	864	tqr_m(k,j,i) = tend(k,j,i)
	865	ENDDO
	866	ELSEIF ( intermediate_timestep_count < &
	867	intermediate_timestep_count_max ) THEN
	868	DO k = nzb_s_inner(j,i)+1, nzt
	869	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	870	5.3125_wp * tqr_m(k,j,i)
	871	ENDDO
	872	ENDIF
	873	ENDIF
	874
	875	!
	876	!-- Calculate prognostic equation for rain drop concentration.
	877	tend(:,j,i) = 0.0_wp
	878	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	879	IF ( ws_scheme_sca ) THEN
[2155]	880	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
[1875]	881	diss_s_nr, flux_l_nr, diss_l_nr, &
	882	i_omp_start, tn )
[2155]	883	ELSE
[1875]	884	CALL advec_s_pw( i, j, nr )
	885	ENDIF
	886	ELSE
	887	CALL advec_s_up( i, j, nr )
	888	ENDIF
	889	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	890
	891	!
	892	!-- Prognostic equation for rain drop concentration
	893	DO k = nzb_s_inner(j,i)+1, nzt
	894	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	895	tsc(3) * tnr_m(k,j,i) ) &
	896	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	897	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	898	ENDDO
	899	!
	900	!-- Calculate tendencies for the next Runge-Kutta step
	901	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	902	IF ( intermediate_timestep_count == 1 ) THEN
	903	DO k = nzb_s_inner(j,i)+1, nzt
	904	tnr_m(k,j,i) = tend(k,j,i)
	905	ENDDO
	906	ELSEIF ( intermediate_timestep_count < &
	907	intermediate_timestep_count_max ) THEN
	908	DO k = nzb_s_inner(j,i)+1, nzt
	909	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	910	5.3125_wp * tnr_m(k,j,i)
	911	ENDDO
	912	ENDIF
	913	ENDIF
	914
	915	ENDIF
	916
	917	ENDIF
[2155]	918
[1960]	919	!
	920	!-- If required, compute prognostic equation for scalar
	921	IF ( passive_scalar ) THEN
	922	!
	923	!-- Tendency-terms for total water content / scalar
	924	tend(:,j,i) = 0.0_wp
	925	IF ( timestep_scheme(1:5) == 'runge' ) &
	926	THEN
	927	IF ( ws_scheme_sca ) THEN
[2155]	928	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
[1960]	929	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
[2155]	930	ELSE
[1960]	931	CALL advec_s_pw( i, j, s )
	932	ENDIF
	933	ELSE
	934	CALL advec_s_up( i, j, s )
	935	ENDIF
	936	CALL diffusion_s( i, j, s, ssws, sswst, wall_sflux )
[1875]	937
	938	!
[1960]	939	!-- Sink or source of scalar concentration due to canopy elements
	940	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	941
	942	!
	943	!-- Large scale advection, still need to be extended for scalars
	944	! IF ( large_scale_forcing ) THEN
	945	! CALL ls_advec( i, j, simulated_time, 's' )
	946	! ENDIF
	947
	948	!
	949	!-- Nudging, still need to be extended for scalars
[2155]	950	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
[1960]	951
	952	!
	953	!-- If required compute influence of large-scale subsidence/ascent.
[2155]	954	!-- Note, the last argument is of no meaning in this case, as it is
	955	!-- only used in conjunction with large_scale_forcing, which is to
[1960]	956	!-- date not implemented for scalars.
	957	IF ( large_scale_subsidence .AND. &
	958	.NOT. use_subsidence_tendencies .AND. &
	959	.NOT. large_scale_forcing ) THEN
	960	CALL subsidence( i, j, tend, s, s_init, 3 )
	961	ENDIF
	962
	963	CALL user_actions( i, j, 's-tendency' )
	964
	965	!
	966	!-- Prognostic equation for scalar
	967	DO k = nzb_s_inner(j,i)+1, nzt
	968	s_p(k,j,i) = s(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	969	tsc(3) * ts_m(k,j,i) ) &
	970	- tsc(5) * rdf_sc(k) * &
	971	( s(k,j,i) - s_init(k) )
	972	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	973	ENDDO
	974
	975	!
	976	!-- Calculate tendencies for the next Runge-Kutta step
	977	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	978	IF ( intermediate_timestep_count == 1 ) THEN
	979	DO k = nzb_s_inner(j,i)+1, nzt
	980	ts_m(k,j,i) = tend(k,j,i)
	981	ENDDO
	982	ELSEIF ( intermediate_timestep_count < &
	983	intermediate_timestep_count_max ) THEN
	984	DO k = nzb_s_inner(j,i)+1, nzt
	985	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	986	5.3125_wp * ts_m(k,j,i)
	987	ENDDO
	988	ENDIF
	989	ENDIF
	990
[2155]	991	ENDIF
[1960]	992	!
[2155]	993	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	994	!-- energy (TKE)
	995	IF ( .NOT. constant_diffusion ) THEN
	996
	997	!
	998	!-- Tendency-terms for TKE
	999	tend(:,j,i) = 0.0_wp
	1000	IF ( timestep_scheme(1:5) == 'runge' &
[2155]	1001	.AND. .NOT. use_upstream_for_tke ) THEN
[1875]	1002	IF ( ws_scheme_sca ) THEN
	1003	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	1004	flux_l_e, diss_l_e , i_omp_start, tn )
	1005	ELSE
	1006	CALL advec_s_pw( i, j, e )
	1007	ENDIF
	1008	ELSE
	1009	CALL advec_s_up( i, j, e )
	1010	ENDIF
	1011	IF ( .NOT. humidity ) THEN
	1012	IF ( ocean ) THEN
	1013	CALL diffusion_e( i, j, prho, prho_reference )
	1014	ELSE
	1015	CALL diffusion_e( i, j, pt, pt_reference )
	1016	ENDIF
	1017	ELSE
	1018	CALL diffusion_e( i, j, vpt, pt_reference )
	1019	ENDIF
	1020	CALL production_e( i, j )
	1021
	1022	!
	1023	!-- Additional sink term for flows through plant canopies
[2155]	1024	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
[1875]	1025
	1026	CALL user_actions( i, j, 'e-tendency' )
	1027
	1028	!
	1029	!-- Prognostic equation for TKE.
	1030	!-- Eliminate negative TKE values, which can occur due to numerical
	1031	!-- reasons in the course of the integration. In such cases the old
	1032	!-- TKE value is reduced by 90%.
	1033	DO k = nzb_s_inner(j,i)+1, nzt
	1034	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1035	tsc(3) * te_m(k,j,i) )
	1036	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1037	ENDDO
	1038
	1039	!
	1040	!-- Calculate tendencies for the next Runge-Kutta step
	1041	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1042	IF ( intermediate_timestep_count == 1 ) THEN
	1043	DO k = nzb_s_inner(j,i)+1, nzt
	1044	te_m(k,j,i) = tend(k,j,i)
	1045	ENDDO
	1046	ELSEIF ( intermediate_timestep_count < &
	1047	intermediate_timestep_count_max ) THEN
	1048	DO k = nzb_s_inner(j,i)+1, nzt
	1049	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1050	5.3125_wp * te_m(k,j,i)
	1051	ENDDO
	1052	ENDIF
	1053	ENDIF
	1054
	1055	ENDIF ! TKE equation
	1056
	1057	ENDDO
	1058	ENDDO
	1059	!$OMP END PARALLEL
	1060
	1061	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1062
	1063
	1064	END SUBROUTINE prognostic_equations_cache
	1065
	1066
	1067	!------------------------------------------------------------------------------!
	1068	! Description:
	1069	! ------------
	1070	!> Version for vector machines
	1071	!------------------------------------------------------------------------------!
[2155]	1072
[1875]	1073	SUBROUTINE prognostic_equations_vector
	1074
	1075
	1076	IMPLICIT NONE
	1077
	1078	INTEGER(iwp) :: i !<
	1079	INTEGER(iwp) :: j !<
	1080	INTEGER(iwp) :: k !<
	1081
	1082	REAL(wp) :: sbt !<
	1083
	1084
	1085	!
	1086	!-- If required, calculate cloud microphysical impacts
	1087	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1088	( intermediate_timestep_count == 1 .OR. &
	1089	call_microphysics_at_all_substeps ) &
	1090	) THEN
	1091	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1092	CALL microphysics_control
	1093	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1094	ENDIF
	1095
	1096	!
	1097	!-- u-velocity component
	1098	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1099
	1100	tend = 0.0_wp
	1101	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1102	IF ( ws_scheme_mom ) THEN
	1103	CALL advec_u_ws
	1104	ELSE
	1105	CALL advec_u_pw
	1106	ENDIF
	1107	ELSE
	1108	CALL advec_u_up
	1109	ENDIF
	1110	CALL diffusion_u
	1111	CALL coriolis( 1 )
	1112	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1113	CALL buoyancy( pt, 1 )
	1114	ENDIF
	1115
	1116	!
	1117	!-- Drag by plant canopy
	1118	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1119
	1120	!
	1121	!-- External pressure gradient
	1122	IF ( dp_external ) THEN
	1123	DO i = nxlu, nxr
	1124	DO j = nys, nyn
	1125	DO k = dp_level_ind_b+1, nzt
	1126	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1127	ENDDO
	1128	ENDDO
	1129	ENDDO
	1130	ENDIF
	1131
	1132	!
	1133	!-- Nudging
	1134	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1135
[1914]	1136	!
	1137	!-- Forces by wind turbines
	1138	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1139
[1875]	1140	CALL user_actions( 'u-tendency' )
	1141
	1142	!
	1143	!-- Prognostic equation for u-velocity component
	1144	DO i = nxlu, nxr
	1145	DO j = nys, nyn
	1146	DO k = nzb_u_inner(j,i)+1, nzt
	1147	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1148	tsc(3) * tu_m(k,j,i) ) &
	1149	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1150	ENDDO
	1151	ENDDO
	1152	ENDDO
	1153
	1154	!
	1155	!-- Calculate tendencies for the next Runge-Kutta step
	1156	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1157	IF ( intermediate_timestep_count == 1 ) THEN
	1158	DO i = nxlu, nxr
	1159	DO j = nys, nyn
	1160	DO k = nzb_u_inner(j,i)+1, nzt
	1161	tu_m(k,j,i) = tend(k,j,i)
	1162	ENDDO
	1163	ENDDO
	1164	ENDDO
	1165	ELSEIF ( intermediate_timestep_count < &
	1166	intermediate_timestep_count_max ) THEN
	1167	DO i = nxlu, nxr
	1168	DO j = nys, nyn
	1169	DO k = nzb_u_inner(j,i)+1, nzt
	1170	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1171	ENDDO
	1172	ENDDO
	1173	ENDDO
	1174	ENDIF
	1175	ENDIF
	1176
	1177	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1178
	1179	!
	1180	!-- v-velocity component
	1181	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1182
	1183	tend = 0.0_wp
	1184	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1185	IF ( ws_scheme_mom ) THEN
	1186	CALL advec_v_ws
[2155]	1187	ELSE
[1875]	1188	CALL advec_v_pw
	1189	END IF
	1190	ELSE
	1191	CALL advec_v_up
	1192	ENDIF
	1193	CALL diffusion_v
	1194	CALL coriolis( 2 )
	1195
	1196	!
	1197	!-- Drag by plant canopy
	1198	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1199
	1200	!
	1201	!-- External pressure gradient
	1202	IF ( dp_external ) THEN
	1203	DO i = nxl, nxr
	1204	DO j = nysv, nyn
	1205	DO k = dp_level_ind_b+1, nzt
	1206	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1207	ENDDO
	1208	ENDDO
	1209	ENDDO
	1210	ENDIF
	1211
	1212	!
	1213	!-- Nudging
	1214	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1215
[1914]	1216	!
	1217	!-- Forces by wind turbines
	1218	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1219
[1875]	1220	CALL user_actions( 'v-tendency' )
	1221
	1222	!
	1223	!-- Prognostic equation for v-velocity component
	1224	DO i = nxl, nxr
	1225	DO j = nysv, nyn
	1226	DO k = nzb_v_inner(j,i)+1, nzt
	1227	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1228	tsc(3) * tv_m(k,j,i) ) &
	1229	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1230	ENDDO
	1231	ENDDO
	1232	ENDDO
	1233
	1234	!
	1235	!-- Calculate tendencies for the next Runge-Kutta step
	1236	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1237	IF ( intermediate_timestep_count == 1 ) THEN
	1238	DO i = nxl, nxr
	1239	DO j = nysv, nyn
	1240	DO k = nzb_v_inner(j,i)+1, nzt
	1241	tv_m(k,j,i) = tend(k,j,i)
	1242	ENDDO
	1243	ENDDO
	1244	ENDDO
	1245	ELSEIF ( intermediate_timestep_count < &
	1246	intermediate_timestep_count_max ) THEN
	1247	DO i = nxl, nxr
	1248	DO j = nysv, nyn
	1249	DO k = nzb_v_inner(j,i)+1, nzt
	1250	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1251	ENDDO
	1252	ENDDO
	1253	ENDDO
	1254	ENDIF
	1255	ENDIF
	1256
	1257	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1258
	1259	!
	1260	!-- w-velocity component
	1261	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1262
	1263	tend = 0.0_wp
	1264	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1265	IF ( ws_scheme_mom ) THEN
	1266	CALL advec_w_ws
	1267	ELSE
	1268	CALL advec_w_pw
	1269	ENDIF
	1270	ELSE
	1271	CALL advec_w_up
	1272	ENDIF
	1273	CALL diffusion_w
	1274	CALL coriolis( 3 )
	1275
	1276	IF ( .NOT. neutral ) THEN
	1277	IF ( ocean ) THEN
[2031]	1278	CALL buoyancy( rho_ocean, 3 )
[1875]	1279	ELSE
	1280	IF ( .NOT. humidity ) THEN
	1281	CALL buoyancy( pt, 3 )
	1282	ELSE
	1283	CALL buoyancy( vpt, 3 )
	1284	ENDIF
	1285	ENDIF
	1286	ENDIF
	1287
	1288	!
	1289	!-- Drag by plant canopy
	1290	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1291
[1914]	1292	!
	1293	!-- Forces by wind turbines
	1294	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1295
[1875]	1296	CALL user_actions( 'w-tendency' )
	1297
	1298	!
	1299	!-- Prognostic equation for w-velocity component
	1300	DO i = nxl, nxr
	1301	DO j = nys, nyn
	1302	DO k = nzb_w_inner(j,i)+1, nzt-1
	1303	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1304	tsc(3) * tw_m(k,j,i) ) &
	1305	- tsc(5) * rdf(k) * w(k,j,i)
	1306	ENDDO
	1307	ENDDO
	1308	ENDDO
	1309
	1310	!
	1311	!-- Calculate tendencies for the next Runge-Kutta step
	1312	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1313	IF ( intermediate_timestep_count == 1 ) THEN
	1314	DO i = nxl, nxr
	1315	DO j = nys, nyn
	1316	DO k = nzb_w_inner(j,i)+1, nzt-1
	1317	tw_m(k,j,i) = tend(k,j,i)
	1318	ENDDO
	1319	ENDDO
	1320	ENDDO
	1321	ELSEIF ( intermediate_timestep_count < &
	1322	intermediate_timestep_count_max ) THEN
	1323	DO i = nxl, nxr
	1324	DO j = nys, nyn
	1325	DO k = nzb_w_inner(j,i)+1, nzt-1
	1326	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	1327	ENDDO
	1328	ENDDO
	1329	ENDDO
	1330	ENDIF
	1331	ENDIF
	1332
	1333	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1334
	1335
	1336	!
	1337	!-- If required, compute prognostic equation for potential temperature
	1338	IF ( .NOT. neutral ) THEN
	1339
	1340	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1341
	1342	!
	1343	!-- pt-tendency terms with communication
	1344	sbt = tsc(2)
	1345	IF ( scalar_advec == 'bc-scheme' ) THEN
	1346
	1347	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1348	!
	1349	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1350	sbt = 1.0_wp
	1351	ENDIF
	1352	tend = 0.0_wp
	1353	CALL advec_s_bc( pt, 'pt' )
	1354
	1355	ENDIF
	1356
	1357	!
	1358	!-- pt-tendency terms with no communication
	1359	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1360	tend = 0.0_wp
	1361	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1362	IF ( ws_scheme_sca ) THEN
	1363	CALL advec_s_ws( pt, 'pt' )
	1364	ELSE
	1365	CALL advec_s_pw( pt )
	1366	ENDIF
	1367	ELSE
	1368	CALL advec_s_up( pt )
	1369	ENDIF
	1370	ENDIF
	1371
	1372	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1373
	1374	!
[2007]	1375	!-- Tendency pt from wall heat flux from urban surface
	1376	IF ( urban_surface ) THEN
	1377	CALL usm_wall_heat_flux
	1378	ENDIF
	1379
	1380	!
[1875]	1381	!-- If required compute heating/cooling due to long wave radiation processes
	1382	IF ( cloud_top_radiation ) THEN
	1383	CALL calc_radiation
	1384	ENDIF
	1385
	1386	!
	1387	!-- Consideration of heat sources within the plant canopy
	1388	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1389	CALL pcm_tendency( 4 )
	1390	ENDIF
	1391
	1392	!
	1393	!-- Large scale advection
	1394	IF ( large_scale_forcing ) THEN
	1395	CALL ls_advec( simulated_time, 'pt' )
	1396	ENDIF
	1397
	1398	!
	1399	!-- Nudging
[2155]	1400	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
[1875]	1401
	1402	!
	1403	!-- If required compute influence of large-scale subsidence/ascent
	1404	IF ( large_scale_subsidence .AND. &
	1405	.NOT. use_subsidence_tendencies ) THEN
	1406	CALL subsidence( tend, pt, pt_init, 2 )
	1407	ENDIF
	1408
	1409	!
	1410	!-- If required, add tendency due to radiative heating/cooling
[1976]	1411	IF ( radiation .AND. &
[1875]	1412	simulated_time > skip_time_do_radiation ) THEN
	1413	CALL radiation_tendency ( tend )
	1414	ENDIF
	1415
	1416	CALL user_actions( 'pt-tendency' )
	1417
	1418	!
	1419	!-- Prognostic equation for potential temperature
	1420	DO i = nxl, nxr
	1421	DO j = nys, nyn
	1422	DO k = nzb_s_inner(j,i)+1, nzt
	1423	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1424	tsc(3) * tpt_m(k,j,i) ) &
	1425	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1426	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	1427	ENDDO
	1428	ENDDO
	1429	ENDDO
	1430
	1431	!
	1432	!-- Calculate tendencies for the next Runge-Kutta step
	1433	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1434	IF ( intermediate_timestep_count == 1 ) THEN
	1435	DO i = nxl, nxr
	1436	DO j = nys, nyn
	1437	DO k = nzb_s_inner(j,i)+1, nzt
	1438	tpt_m(k,j,i) = tend(k,j,i)
	1439	ENDDO
	1440	ENDDO
	1441	ENDDO
	1442	ELSEIF ( intermediate_timestep_count < &
	1443	intermediate_timestep_count_max ) THEN
	1444	DO i = nxl, nxr
	1445	DO j = nys, nyn
	1446	DO k = nzb_s_inner(j,i)+1, nzt
	1447	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1448	5.3125_wp * tpt_m(k,j,i)
	1449	ENDDO
	1450	ENDDO
	1451	ENDDO
	1452	ENDIF
	1453	ENDIF
	1454
	1455	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1456
	1457	ENDIF
	1458
	1459	!
	1460	!-- If required, compute prognostic equation for salinity
	1461	IF ( ocean ) THEN
	1462
	1463	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1464
	1465	!
	1466	!-- sa-tendency terms with communication
	1467	sbt = tsc(2)
	1468	IF ( scalar_advec == 'bc-scheme' ) THEN
	1469
	1470	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1471	!
	1472	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1473	sbt = 1.0_wp
	1474	ENDIF
	1475	tend = 0.0_wp
	1476	CALL advec_s_bc( sa, 'sa' )
	1477
	1478	ENDIF
	1479
	1480	!
	1481	!-- sa-tendency terms with no communication
	1482	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1483	tend = 0.0_wp
	1484	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1485	IF ( ws_scheme_sca ) THEN
	1486	CALL advec_s_ws( sa, 'sa' )
	1487	ELSE
	1488	CALL advec_s_pw( sa )
	1489	ENDIF
	1490	ELSE
	1491	CALL advec_s_up( sa )
	1492	ENDIF
	1493	ENDIF
	1494
	1495	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[2155]	1496
[1875]	1497	CALL user_actions( 'sa-tendency' )
	1498
	1499	!
	1500	!-- Prognostic equation for salinity
	1501	DO i = nxl, nxr
	1502	DO j = nys, nyn
	1503	DO k = nzb_s_inner(j,i)+1, nzt
	1504	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1505	tsc(3) * tsa_m(k,j,i) ) &
	1506	- tsc(5) * rdf_sc(k) * &
	1507	( sa(k,j,i) - sa_init(k) )
	1508	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1509	ENDDO
	1510	ENDDO
	1511	ENDDO
	1512
	1513	!
	1514	!-- Calculate tendencies for the next Runge-Kutta step
	1515	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1516	IF ( intermediate_timestep_count == 1 ) THEN
	1517	DO i = nxl, nxr
	1518	DO j = nys, nyn
	1519	DO k = nzb_s_inner(j,i)+1, nzt
	1520	tsa_m(k,j,i) = tend(k,j,i)
	1521	ENDDO
	1522	ENDDO
	1523	ENDDO
	1524	ELSEIF ( intermediate_timestep_count < &
	1525	intermediate_timestep_count_max ) THEN
	1526	DO i = nxl, nxr
	1527	DO j = nys, nyn
	1528	DO k = nzb_s_inner(j,i)+1, nzt
	1529	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1530	5.3125_wp * tsa_m(k,j,i)
	1531	ENDDO
	1532	ENDDO
	1533	ENDDO
	1534	ENDIF
	1535	ENDIF
	1536
	1537	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1538
	1539	!
	1540	!-- Calculate density by the equation of state for seawater
	1541	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1542	CALL eqn_state_seawater
	1543	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1544
	1545	ENDIF
	1546
	1547	!
[1960]	1548	!-- If required, compute prognostic equation for total water content
	1549	IF ( humidity ) THEN
[1875]	1550
[1960]	1551	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1552
	1553	!
	1554	!-- Scalar/q-tendency terms with communication
	1555	sbt = tsc(2)
	1556	IF ( scalar_advec == 'bc-scheme' ) THEN
	1557
	1558	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1559	!
	1560	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1561	sbt = 1.0_wp
	1562	ENDIF
	1563	tend = 0.0_wp
	1564	CALL advec_s_bc( q, 'q' )
	1565
	1566	ENDIF
	1567
	1568	!
	1569	!-- Scalar/q-tendency terms with no communication
	1570	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1571	tend = 0.0_wp
	1572	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1573	IF ( ws_scheme_sca ) THEN
	1574	CALL advec_s_ws( q, 'q' )
	1575	ELSE
	1576	CALL advec_s_pw( q )
	1577	ENDIF
	1578	ELSE
	1579	CALL advec_s_up( q )
	1580	ENDIF
	1581	ENDIF
	1582
	1583	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[2155]	1584
[1875]	1585	!
[1960]	1586	!-- Sink or source of humidity due to canopy elements
[1875]	1587	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1588
	1589	!
	1590	!-- Large scale advection
	1591	IF ( large_scale_forcing ) THEN
	1592	CALL ls_advec( simulated_time, 'q' )
	1593	ENDIF
	1594
	1595	!
	1596	!-- Nudging
[2155]	1597	IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1875]	1598
	1599	!
	1600	!-- If required compute influence of large-scale subsidence/ascent
	1601	IF ( large_scale_subsidence .AND. &
	1602	.NOT. use_subsidence_tendencies ) THEN
	1603	CALL subsidence( tend, q, q_init, 3 )
	1604	ENDIF
	1605
	1606	CALL user_actions( 'q-tendency' )
	1607
	1608	!
[1960]	1609	!-- Prognostic equation for total water content
[1875]	1610	DO i = nxl, nxr
	1611	DO j = nys, nyn
	1612	DO k = nzb_s_inner(j,i)+1, nzt
	1613	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1614	tsc(3) * tq_m(k,j,i) ) &
	1615	- tsc(5) * rdf_sc(k) * &
	1616	( q(k,j,i) - q_init(k) )
	1617	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1618	ENDDO
	1619	ENDDO
	1620	ENDDO
	1621
	1622	!
	1623	!-- Calculate tendencies for the next Runge-Kutta step
	1624	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1625	IF ( intermediate_timestep_count == 1 ) THEN
	1626	DO i = nxl, nxr
	1627	DO j = nys, nyn
	1628	DO k = nzb_s_inner(j,i)+1, nzt
	1629	tq_m(k,j,i) = tend(k,j,i)
	1630	ENDDO
	1631	ENDDO
	1632	ENDDO
	1633	ELSEIF ( intermediate_timestep_count < &
	1634	intermediate_timestep_count_max ) THEN
	1635	DO i = nxl, nxr
	1636	DO j = nys, nyn
	1637	DO k = nzb_s_inner(j,i)+1, nzt
	1638	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	1639	ENDDO
	1640	ENDDO
	1641	ENDDO
	1642	ENDIF
	1643	ENDIF
	1644
[1960]	1645	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1646
	1647	!
[2155]	1648	!-- If required, calculate prognostic equations for rain water content
[1875]	1649	!-- and rain drop concentration
	1650	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1651
	1652	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1653
	1654	!
	1655	!-- Calculate prognostic equation for rain water content
	1656	sbt = tsc(2)
	1657	IF ( scalar_advec == 'bc-scheme' ) THEN
	1658
	1659	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1660	!
	1661	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1662	sbt = 1.0_wp
	1663	ENDIF
	1664	tend = 0.0_wp
	1665	CALL advec_s_bc( qr, 'qr' )
	1666
	1667	ENDIF
	1668
	1669	!
	1670	!-- qr-tendency terms with no communication
	1671	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1672	tend = 0.0_wp
	1673	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1674	IF ( ws_scheme_sca ) THEN
	1675	CALL advec_s_ws( qr, 'qr' )
	1676	ELSE
	1677	CALL advec_s_pw( qr )
	1678	ENDIF
	1679	ELSE
	1680	CALL advec_s_up( qr )
	1681	ENDIF
	1682	ENDIF
	1683
	1684	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1685
	1686	!
	1687	!-- Prognostic equation for rain water content
	1688	DO i = nxl, nxr
	1689	DO j = nys, nyn
	1690	DO k = nzb_s_inner(j,i)+1, nzt
	1691	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1692	tsc(3) * tqr_m(k,j,i) ) &
	1693	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1694	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1695	ENDDO
	1696	ENDDO
	1697	ENDDO
	1698
	1699	!
	1700	!-- Calculate tendencies for the next Runge-Kutta step
	1701	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1702	IF ( intermediate_timestep_count == 1 ) THEN
	1703	DO i = nxl, nxr
	1704	DO j = nys, nyn
	1705	DO k = nzb_s_inner(j,i)+1, nzt
	1706	tqr_m(k,j,i) = tend(k,j,i)
	1707	ENDDO
	1708	ENDDO
	1709	ENDDO
	1710	ELSEIF ( intermediate_timestep_count < &
	1711	intermediate_timestep_count_max ) THEN
	1712	DO i = nxl, nxr
	1713	DO j = nys, nyn
	1714	DO k = nzb_s_inner(j,i)+1, nzt
	1715	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1716	tqr_m(k,j,i)
	1717	ENDDO
	1718	ENDDO
	1719	ENDDO
	1720	ENDIF
	1721	ENDIF
	1722
	1723	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1724	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1725
	1726	!
	1727	!-- Calculate prognostic equation for rain drop concentration
	1728	sbt = tsc(2)
	1729	IF ( scalar_advec == 'bc-scheme' ) THEN
	1730
	1731	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1732	!
	1733	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1734	sbt = 1.0_wp
	1735	ENDIF
	1736	tend = 0.0_wp
	1737	CALL advec_s_bc( nr, 'nr' )
	1738
	1739	ENDIF
	1740
	1741	!
	1742	!-- nr-tendency terms with no communication
	1743	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1744	tend = 0.0_wp
	1745	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1746	IF ( ws_scheme_sca ) THEN
	1747	CALL advec_s_ws( nr, 'nr' )
	1748	ELSE
	1749	CALL advec_s_pw( nr )
	1750	ENDIF
	1751	ELSE
	1752	CALL advec_s_up( nr )
	1753	ENDIF
	1754	ENDIF
	1755
	1756	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1757
	1758	!
	1759	!-- Prognostic equation for rain drop concentration
	1760	DO i = nxl, nxr
	1761	DO j = nys, nyn
	1762	DO k = nzb_s_inner(j,i)+1, nzt
	1763	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1764	tsc(3) * tnr_m(k,j,i) ) &
	1765	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1766	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1767	ENDDO
	1768	ENDDO
	1769	ENDDO
	1770
	1771	!
	1772	!-- Calculate tendencies for the next Runge-Kutta step
	1773	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1774	IF ( intermediate_timestep_count == 1 ) THEN
	1775	DO i = nxl, nxr
	1776	DO j = nys, nyn
	1777	DO k = nzb_s_inner(j,i)+1, nzt
	1778	tnr_m(k,j,i) = tend(k,j,i)
	1779	ENDDO
	1780	ENDDO
	1781	ENDDO
	1782	ELSEIF ( intermediate_timestep_count < &
	1783	intermediate_timestep_count_max ) THEN
	1784	DO i = nxl, nxr
	1785	DO j = nys, nyn
	1786	DO k = nzb_s_inner(j,i)+1, nzt
	1787	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1788	tnr_m(k,j,i)
	1789	ENDDO
	1790	ENDDO
	1791	ENDDO
	1792	ENDIF
	1793	ENDIF
	1794
	1795	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1796
	1797	ENDIF
	1798
	1799	ENDIF
[1960]	1800	!
	1801	!-- If required, compute prognostic equation for scalar
	1802	IF ( passive_scalar ) THEN
[1875]	1803
[1960]	1804	CALL cpu_log( log_point(66), 's-equation', 'start' )
	1805
[1875]	1806	!
[1960]	1807	!-- Scalar/q-tendency terms with communication
	1808	sbt = tsc(2)
	1809	IF ( scalar_advec == 'bc-scheme' ) THEN
	1810
	1811	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1812	!
	1813	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1814	sbt = 1.0_wp
	1815	ENDIF
	1816	tend = 0.0_wp
	1817	CALL advec_s_bc( s, 's' )
	1818
	1819	ENDIF
	1820
	1821	!
	1822	!-- Scalar/q-tendency terms with no communication
	1823	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1824	tend = 0.0_wp
	1825	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1826	IF ( ws_scheme_sca ) THEN
	1827	CALL advec_s_ws( s, 's' )
	1828	ELSE
	1829	CALL advec_s_pw( s )
	1830	ENDIF
	1831	ELSE
	1832	CALL advec_s_up( s )
	1833	ENDIF
	1834	ENDIF
	1835
	1836	CALL diffusion_s( s, ssws, sswst, wall_sflux )
[2155]	1837
[1960]	1838	!
	1839	!-- Sink or source of humidity due to canopy elements
	1840	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	1841
	1842	!
	1843	!-- Large scale advection. Not implemented for scalars so far.
	1844	! IF ( large_scale_forcing ) THEN
	1845	! CALL ls_advec( simulated_time, 'q' )
	1846	! ENDIF
	1847
	1848	!
	1849	!-- Nudging. Not implemented for scalars so far.
[2155]	1850	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
[1960]	1851
	1852	!
	1853	!-- If required compute influence of large-scale subsidence/ascent.
	1854	!-- Not implemented for scalars so far.
	1855	IF ( large_scale_subsidence .AND. &
	1856	.NOT. use_subsidence_tendencies .AND. &
	1857	.NOT. large_scale_forcing ) THEN
	1858	CALL subsidence( tend, s, s_init, 3 )
	1859	ENDIF
	1860
	1861	CALL user_actions( 's-tendency' )
	1862
	1863	!
	1864	!-- Prognostic equation for total water content
	1865	DO i = nxl, nxr
	1866	DO j = nys, nyn
	1867	DO k = nzb_s_inner(j,i)+1, nzt
	1868	s_p(k,j,i) = s(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1869	tsc(3) * ts_m(k,j,i) ) &
	1870	- tsc(5) * rdf_sc(k) * &
	1871	( s(k,j,i) - s_init(k) )
	1872	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1873	ENDDO
	1874	ENDDO
	1875	ENDDO
	1876
	1877	!
	1878	!-- Calculate tendencies for the next Runge-Kutta step
	1879	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1880	IF ( intermediate_timestep_count == 1 ) THEN
	1881	DO i = nxl, nxr
	1882	DO j = nys, nyn
	1883	DO k = nzb_s_inner(j,i)+1, nzt
	1884	ts_m(k,j,i) = tend(k,j,i)
	1885	ENDDO
	1886	ENDDO
	1887	ENDDO
	1888	ELSEIF ( intermediate_timestep_count < &
	1889	intermediate_timestep_count_max ) THEN
	1890	DO i = nxl, nxr
	1891	DO j = nys, nyn
	1892	DO k = nzb_s_inner(j,i)+1, nzt
	1893	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * ts_m(k,j,i)
	1894	ENDDO
	1895	ENDDO
	1896	ENDDO
	1897	ENDIF
	1898	ENDIF
	1899
	1900	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	1901
	1902	ENDIF
	1903	!
[2155]	1904	!-- If required, compute prognostic equation for turbulent kinetic
[1875]	1905	!-- energy (TKE)
	1906	IF ( .NOT. constant_diffusion ) THEN
	1907
	1908	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1909
	1910	sbt = tsc(2)
	1911	IF ( .NOT. use_upstream_for_tke ) THEN
	1912	IF ( scalar_advec == 'bc-scheme' ) THEN
	1913
	1914	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1915	!
	1916	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1917	sbt = 1.0_wp
	1918	ENDIF
	1919	tend = 0.0_wp
	1920	CALL advec_s_bc( e, 'e' )
	1921
	1922	ENDIF
	1923	ENDIF
	1924
	1925	!
	1926	!-- TKE-tendency terms with no communication
	1927	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	1928	IF ( use_upstream_for_tke ) THEN
	1929	tend = 0.0_wp
	1930	CALL advec_s_up( e )
	1931	ELSE
	1932	tend = 0.0_wp
	1933	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1934	IF ( ws_scheme_sca ) THEN
	1935	CALL advec_s_ws( e, 'e' )
[2155]	1936	ELSE
[1875]	1937	CALL advec_s_pw( e )
	1938	ENDIF
	1939	ELSE
	1940	CALL advec_s_up( e )
	1941	ENDIF
	1942	ENDIF
	1943	ENDIF
	1944
	1945	IF ( .NOT. humidity ) THEN
	1946	IF ( ocean ) THEN
	1947	CALL diffusion_e( prho, prho_reference )
	1948	ELSE
	1949	CALL diffusion_e( pt, pt_reference )
	1950	ENDIF
	1951	ELSE
	1952	CALL diffusion_e( vpt, pt_reference )
	1953	ENDIF
	1954
	1955	CALL production_e
	1956
	1957	!
	1958	!-- Additional sink term for flows through plant canopies
	1959	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	1960	CALL user_actions( 'e-tendency' )
	1961
	1962	!
	1963	!-- Prognostic equation for TKE.
	1964	!-- Eliminate negative TKE values, which can occur due to numerical
	1965	!-- reasons in the course of the integration. In such cases the old TKE
	1966	!-- value is reduced by 90%.
	1967	DO i = nxl, nxr
	1968	DO j = nys, nyn
	1969	DO k = nzb_s_inner(j,i)+1, nzt
	1970	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1971	tsc(3) * te_m(k,j,i) )
	1972	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1973	ENDDO
	1974	ENDDO
	1975	ENDDO
	1976
	1977	!
	1978	!-- Calculate tendencies for the next Runge-Kutta step
	1979	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1980	IF ( intermediate_timestep_count == 1 ) THEN
	1981	DO i = nxl, nxr
	1982	DO j = nys, nyn
	1983	DO k = nzb_s_inner(j,i)+1, nzt
	1984	te_m(k,j,i) = tend(k,j,i)
	1985	ENDDO
	1986	ENDDO
	1987	ENDDO
	1988	ELSEIF ( intermediate_timestep_count < &
	1989	intermediate_timestep_count_max ) THEN
	1990	DO i = nxl, nxr
	1991	DO j = nys, nyn
	1992	DO k = nzb_s_inner(j,i)+1, nzt
	1993	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	1994	ENDDO
	1995	ENDDO
	1996	ENDDO
	1997	ENDIF
	1998	ENDIF
	1999
	2000	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2001
	2002	ENDIF
	2003
	2004	END SUBROUTINE prognostic_equations_vector
	2005
	2006
	2007	END MODULE prognostic_equations_mod

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