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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2255

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

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