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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 2201

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

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