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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1914

Last change on this file since 1914 was 1914, checked in by witha, 8 years ago
Merged branch/forwind into trunk
Property svn:keywords set to `Id`
File size: 82.2 KB

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[1873]	1	!> @file prognostic_equations.f90
[1875]	2	!--------------------------------------------------------------------------------!
	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
	17	!--------------------------------------------------------------------------------!
	18	!
	19	! Current revisions:
	20	! ------------------
[1827]	21	!
	22	!
[1875]	23	! Former revisions:
	24	! -----------------
	25	! $Id: prognostic_equations.f90 1914 2016-05-26 14:44:07Z witha $
	26	!
[1874]	27	! 1873 2016-04-18 14:50:06Z maronga
	28	! Module renamed (removed _mod)
	29	!
[1851]	30	! 1850 2016-04-08 13:29:27Z maronga
	31	! Module renamed
	32	!
[1827]	33	! 1826 2016-04-07 12:01:39Z maronga
[1875]	34	! Renamed canopy model calls.
	35	!
	36	! 1822 2016-04-07 07:49:42Z hoffmann
	37	! Kessler microphysics scheme moved to microphysics.
[1914]	38
	39	! 1819 2016-04-06 21:05:15Z witha
	40	! Added calls for wind turbine model
[1875]	41	!
	42	! 1757 2016-02-22 15:49:32Z maronga
	43	!
	44	!
	45	! 1691 2015-10-26 16:17:44Z maronga
	46	! Added optional model spin-up without radiation / land surface model calls.
	47	! Formatting corrections.
	48	!
	49	! 1682 2015-10-07 23:56:08Z knoop
	50	! Code annotations made doxygen readable
	51	!
	52	! 1585 2015-04-30 07:05:52Z maronga
	53	! Added call for temperature tendency calculation due to radiative flux divergence
	54	!
	55	! 1517 2015-01-07 19:12:25Z hoffmann
	56	! advec_s_bc_mod addded, since advec_s_bc is now a module
	57	!
	58	! 1496 2014-12-02 17:25:50Z maronga
	59	! Renamed "radiation" -> "cloud_top_radiation"
	60	!
	61	! 1484 2014-10-21 10:53:05Z kanani
	62	! Changes due to new module structure of the plant canopy model:
	63	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	64	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	65	! control_parameters
	66	!
	67	! 1409 2014-05-23 12:11:32Z suehring
	68	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
	69	! This ensures that left-hand side fluxes are also calculated for nxl in that
	70	! case, even though the solution at nxl is overwritten in boundary_conds()
	71	!
	72	! 1398 2014-05-07 11:15:00Z heinze
	73	! Rayleigh-damping for horizontal velocity components changed: instead of damping
	74	! against ug and vg, damping against u_init and v_init is used to allow for a
	75	! homogenized treatment in case of nudging
	76	!
	77	! 1380 2014-04-28 12:40:45Z heinze
	78	! Change order of calls for scalar prognostic quantities:
	79	! ls_advec -> nudging -> subsidence since initial profiles
	80	!
	81	! 1374 2014-04-25 12:55:07Z raasch
	82	! missing variables added to ONLY lists
	83	!
	84	! 1365 2014-04-22 15:03:56Z boeske
	85	! Calls of ls_advec for large scale advection added,
	86	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	87	! new argument ls_index added to the calls of subsidence
	88	! +ls_index
	89	!
	90	! 1361 2014-04-16 15:17:48Z hoffmann
	91	! Two-moment microphysics moved to the start of prognostic equations. This makes
	92	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	93	! Additionally, it is allowed to call the microphysics just once during the time
	94	! step (not at each sub-time step).
	95	!
	96	! Two-moment cloud physics added for vector and accelerator optimization.
	97	!
	98	! 1353 2014-04-08 15:21:23Z heinze
	99	! REAL constants provided with KIND-attribute
	100	!
	101	! 1337 2014-03-25 15:11:48Z heinze
	102	! Bugfix: REAL constants provided with KIND-attribute
	103	!
	104	! 1332 2014-03-25 11:59:43Z suehring
	105	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	106	!
	107	! 1330 2014-03-24 17:29:32Z suehring
	108	! In case of SGS-particle velocity advection of TKE is also allowed with
	109	! dissipative 5th-order scheme.
	110	!
	111	! 1320 2014-03-20 08:40:49Z raasch
	112	! ONLY-attribute added to USE-statements,
	113	! kind-parameters added to all INTEGER and REAL declaration statements,
	114	! kinds are defined in new module kinds,
	115	! old module precision_kind is removed,
	116	! revision history before 2012 removed,
	117	! comment fields (!:) to be used for variable explanations added to
	118	! all variable declaration statements
	119	!
	120	! 1318 2014-03-17 13:35:16Z raasch
	121	! module interfaces removed
	122	!
	123	! 1257 2013-11-08 15:18:40Z raasch
	124	! openacc loop vector clauses removed, independent clauses added
	125	!
	126	! 1246 2013-11-01 08:59:45Z heinze
	127	! enable nudging also for accelerator version
	128	!
	129	! 1241 2013-10-30 11:36:58Z heinze
	130	! usage of nudging enabled (so far not implemented for accelerator version)
	131	!
	132	! 1179 2013-06-14 05:57:58Z raasch
	133	! two arguments removed from routine buoyancy, ref_state updated on device
	134	!
	135	! 1128 2013-04-12 06:19:32Z raasch
	136	! those parts requiring global communication moved to time_integration,
	137	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	138	! j_north
	139	!
	140	! 1115 2013-03-26 18:16:16Z hoffmann
	141	! optimized cloud physics: calculation of microphysical tendencies transfered
	142	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	143	!
	144	! 1111 2013-03-08 23:54:10Z raasch
	145	! update directives for prognostic quantities removed
	146	!
	147	! 1106 2013-03-04 05:31:38Z raasch
	148	! small changes in code formatting
	149	!
	150	! 1092 2013-02-02 11:24:22Z raasch
	151	! unused variables removed
	152	!
	153	! 1053 2012-11-13 17:11:03Z hoffmann
	154	! implementation of two new prognostic equations for rain drop concentration (nr)
	155	! and rain water content (qr)
	156	!
	157	! currently, only available for cache loop optimization
	158	!
	159	! 1036 2012-10-22 13:43:42Z raasch
	160	! code put under GPL (PALM 3.9)
	161	!
	162	! 1019 2012-09-28 06:46:45Z raasch
	163	! non-optimized version of prognostic_equations removed
	164	!
	165	! 1015 2012-09-27 09:23:24Z raasch
	166	! new branch prognostic_equations_acc
	167	! OpenACC statements added + code changes required for GPU optimization
	168	!
	169	! 1001 2012-09-13 14:08:46Z raasch
	170	! all actions concerning leapfrog- and upstream-spline-scheme removed
	171	!
	172	! 978 2012-08-09 08:28:32Z fricke
	173	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	174	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	175	! boundary in case of non-cyclic lateral boundaries
	176	! Bugfix: first thread index changes for WS-scheme at the inflow
	177	!
	178	! 940 2012-07-09 14:31:00Z raasch
	179	! temperature equation can be switched off
	180	!
	181	! Revision 1.1 2000/04/13 14:56:27 schroeter
	182	! Initial revision
	183	!
	184	!
	185	! Description:
	186	! ------------
	187	!> Solving the prognostic equations.
	188	!------------------------------------------------------------------------------!
	189	MODULE prognostic_equations_mod
	190
	191
	192
	193	USE arrays_3d, &
	194	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	195	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	196	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	197	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	198	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	199	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
	200	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	201	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	202	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
	203	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
	204
	205	USE control_parameters, &
	206	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	207	cloud_top_radiation, constant_diffusion, dp_external, &
	208	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	209	inflow_l, intermediate_timestep_count, &
	210	intermediate_timestep_count_max, large_scale_forcing, &
	211	large_scale_subsidence, microphysics_seifert, &
	212	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	213	outflow_s, passive_scalar, prho_reference, prho_reference, &
	214	prho_reference, pt_reference, pt_reference, pt_reference, &
	215	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
	216	timestep_scheme, tsc, use_subsidence_tendencies, &
	217	use_upstream_for_tke, wall_heatflux, &
	218	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	219	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
	220
	221	USE cpulog, &
	222	ONLY: cpu_log, log_point
	223
	224	USE eqn_state_seawater_mod, &
	225	ONLY: eqn_state_seawater
	226
	227	USE indices, &
	228	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	229	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	230
	231	USE advec_ws, &
	232	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	233	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	234
	235	USE advec_s_bc_mod, &
	236	ONLY: advec_s_bc
	237
	238	USE advec_s_pw_mod, &
	239	ONLY: advec_s_pw
	240
	241	USE advec_s_up_mod, &
	242	ONLY: advec_s_up
	243
	244	USE advec_u_pw_mod, &
	245	ONLY: advec_u_pw
	246
	247	USE advec_u_up_mod, &
	248	ONLY: advec_u_up
	249
	250	USE advec_v_pw_mod, &
	251	ONLY: advec_v_pw
	252
	253	USE advec_v_up_mod, &
	254	ONLY: advec_v_up
	255
	256	USE advec_w_pw_mod, &
	257	ONLY: advec_w_pw
	258
	259	USE advec_w_up_mod, &
	260	ONLY: advec_w_up
	261
	262	USE buoyancy_mod, &
	263	ONLY: buoyancy, buoyancy_acc
	264
	265	USE calc_radiation_mod, &
	266	ONLY: calc_radiation
	267
	268	USE coriolis_mod, &
	269	ONLY: coriolis, coriolis_acc
	270
	271	USE diffusion_e_mod, &
	272	ONLY: diffusion_e, diffusion_e_acc
	273
	274	USE diffusion_s_mod, &
	275	ONLY: diffusion_s, diffusion_s_acc
	276
	277	USE diffusion_u_mod, &
	278	ONLY: diffusion_u, diffusion_u_acc
	279
	280	USE diffusion_v_mod, &
	281	ONLY: diffusion_v, diffusion_v_acc
	282
	283	USE diffusion_w_mod, &
	284	ONLY: diffusion_w, diffusion_w_acc
	285
	286	USE kinds
	287
	288	USE ls_forcing_mod, &
	289	ONLY: ls_advec
	290
	291	USE microphysics_mod, &
	292	ONLY: microphysics_control
	293
	294	USE nudge_mod, &
	295	ONLY: nudge
	296
	297	USE plant_canopy_model_mod, &
	298	ONLY: cthf, plant_canopy, pcm_tendency
	299
	300	USE production_e_mod, &
	301	ONLY: production_e, production_e_acc
	302
	303	USE radiation_model_mod, &
	304	ONLY: radiation, radiation_scheme, radiation_tendency, &
	305	skip_time_do_radiation
	306
	307	USE statistics, &
	308	ONLY: hom
	309
	310	USE subsidence_mod, &
	311	ONLY: subsidence
	312
	313	USE user_actions_mod, &
	314	ONLY: user_actions
	315
[1914]	316	USE wind_turbine_model_mod, &
	317	ONLY: wind_turbine, wtm_tendencies
[1875]	318
[1914]	319
[1875]	320	PRIVATE
	321	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	322	prognostic_equations_acc
	323
	324	INTERFACE prognostic_equations_cache
	325	MODULE PROCEDURE prognostic_equations_cache
	326	END INTERFACE prognostic_equations_cache
	327
	328	INTERFACE prognostic_equations_vector
	329	MODULE PROCEDURE prognostic_equations_vector
	330	END INTERFACE prognostic_equations_vector
	331
	332	INTERFACE prognostic_equations_acc
	333	MODULE PROCEDURE prognostic_equations_acc
	334	END INTERFACE prognostic_equations_acc
	335
	336
	337	CONTAINS
	338
	339
	340	!------------------------------------------------------------------------------!
	341	! Description:
	342	! ------------
	343	!> Version with one optimized loop over all equations. It is only allowed to
	344	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	345	!>
	346	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	347	!> so communication between CPUs is not allowed (does not make sense) within
	348	!> these loops.
	349	!>
	350	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	351	!------------------------------------------------------------------------------!
	352
	353	SUBROUTINE prognostic_equations_cache
	354
	355
	356	IMPLICIT NONE
	357
	358	INTEGER(iwp) :: i !<
	359	INTEGER(iwp) :: i_omp_start !<
	360	INTEGER(iwp) :: j !<
	361	INTEGER(iwp) :: k !<
	362	INTEGER(iwp) :: omp_get_thread_num !<
	363	INTEGER(iwp) :: tn = 0 !<
	364
	365	LOGICAL :: loop_start !<
	366
	367
	368	!
	369	!-- Time measurement can only be performed for the whole set of equations
	370	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	371
	372	!
	373	!-- Loop over all prognostic equations
	374	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	375
	376	!$ tn = omp_get_thread_num()
	377	loop_start = .TRUE.
	378	!$OMP DO
	379	DO i = nxl, nxr
	380
	381	!
	382	!-- Store the first loop index. It differs for each thread and is required
	383	!-- later in advec_ws
	384	IF ( loop_start ) THEN
	385	loop_start = .FALSE.
	386	i_omp_start = i
	387	ENDIF
	388
	389	DO j = nys, nyn
	390	!
	391	!-- If required, calculate cloud microphysics
	392	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	393	( intermediate_timestep_count == 1 .OR. &
	394	call_microphysics_at_all_substeps ) &
	395	) THEN
	396	CALL microphysics_control( i, j )
	397	ENDIF
	398	!
	399	!-- Tendency terms for u-velocity component
	400	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	401
	402	tend(:,j,i) = 0.0_wp
	403	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	404	IF ( ws_scheme_mom ) THEN
	405	CALL advec_u_ws( i, j, i_omp_start, tn )
	406	ELSE
	407	CALL advec_u_pw( i, j )
	408	ENDIF
	409	ELSE
	410	CALL advec_u_up( i, j )
	411	ENDIF
	412	CALL diffusion_u( i, j )
	413	CALL coriolis( i, j, 1 )
	414	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	415	CALL buoyancy( i, j, pt, 1 )
	416	ENDIF
	417
	418	!
	419	!-- Drag by plant canopy
	420	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	421
	422	!
	423	!-- External pressure gradient
	424	IF ( dp_external ) THEN
	425	DO k = dp_level_ind_b+1, nzt
	426	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	427	ENDDO
	428	ENDIF
	429
	430	!
	431	!-- Nudging
	432	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	433
[1914]	434	!
	435	!-- Forces by wind turbines
	436	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	437
[1875]	438	CALL user_actions( i, j, 'u-tendency' )
	439	!
	440	!-- Prognostic equation for u-velocity component
	441	DO k = nzb_u_inner(j,i)+1, nzt
	442	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	443	tsc(3) * tu_m(k,j,i) ) &
	444	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	445	ENDDO
	446
	447	!
	448	!-- Calculate tendencies for the next Runge-Kutta step
	449	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	450	IF ( intermediate_timestep_count == 1 ) THEN
	451	DO k = nzb_u_inner(j,i)+1, nzt
	452	tu_m(k,j,i) = tend(k,j,i)
	453	ENDDO
	454	ELSEIF ( intermediate_timestep_count < &
	455	intermediate_timestep_count_max ) THEN
	456	DO k = nzb_u_inner(j,i)+1, nzt
	457	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	458	ENDDO
	459	ENDIF
	460	ENDIF
	461
	462	ENDIF
	463
	464	!
	465	!-- Tendency terms for v-velocity component
	466	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	467
	468	tend(:,j,i) = 0.0_wp
	469	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	470	IF ( ws_scheme_mom ) THEN
	471	CALL advec_v_ws( i, j, i_omp_start, tn )
	472	ELSE
	473	CALL advec_v_pw( i, j )
	474	ENDIF
	475	ELSE
	476	CALL advec_v_up( i, j )
	477	ENDIF
	478	CALL diffusion_v( i, j )
	479	CALL coriolis( i, j, 2 )
	480
	481	!
	482	!-- Drag by plant canopy
	483	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
	484
	485	!
	486	!-- External pressure gradient
	487	IF ( dp_external ) THEN
	488	DO k = dp_level_ind_b+1, nzt
	489	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	490	ENDDO
	491	ENDIF
	492
	493	!
	494	!-- Nudging
	495	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	496
[1914]	497	!
	498	!-- Forces by wind turbines
	499	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	500
[1875]	501	CALL user_actions( i, j, 'v-tendency' )
	502	!
	503	!-- Prognostic equation for v-velocity component
	504	DO k = nzb_v_inner(j,i)+1, nzt
	505	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	506	tsc(3) * tv_m(k,j,i) ) &
	507	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	508	ENDDO
	509
	510	!
	511	!-- Calculate tendencies for the next Runge-Kutta step
	512	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	513	IF ( intermediate_timestep_count == 1 ) THEN
	514	DO k = nzb_v_inner(j,i)+1, nzt
	515	tv_m(k,j,i) = tend(k,j,i)
	516	ENDDO
	517	ELSEIF ( intermediate_timestep_count < &
	518	intermediate_timestep_count_max ) THEN
	519	DO k = nzb_v_inner(j,i)+1, nzt
	520	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	521	ENDDO
	522	ENDIF
	523	ENDIF
	524
	525	ENDIF
	526
	527	!
	528	!-- Tendency terms for w-velocity component
	529	tend(:,j,i) = 0.0_wp
	530	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	531	IF ( ws_scheme_mom ) THEN
	532	CALL advec_w_ws( i, j, i_omp_start, tn )
	533	ELSE
	534	CALL advec_w_pw( i, j )
	535	END IF
	536	ELSE
	537	CALL advec_w_up( i, j )
	538	ENDIF
	539	CALL diffusion_w( i, j )
	540	CALL coriolis( i, j, 3 )
	541
	542	IF ( .NOT. neutral ) THEN
	543	IF ( ocean ) THEN
	544	CALL buoyancy( i, j, rho, 3 )
	545	ELSE
	546	IF ( .NOT. humidity ) THEN
	547	CALL buoyancy( i, j, pt, 3 )
	548	ELSE
	549	CALL buoyancy( i, j, vpt, 3 )
	550	ENDIF
	551	ENDIF
	552	ENDIF
	553
	554	!
	555	!-- Drag by plant canopy
	556	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	557
[1914]	558	!
	559	!-- Forces by wind turbines
	560	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	561
[1875]	562	CALL user_actions( i, j, 'w-tendency' )
	563
	564	!
	565	!-- Prognostic equation for w-velocity component
	566	DO k = nzb_w_inner(j,i)+1, nzt-1
	567	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	568	tsc(3) * tw_m(k,j,i) ) &
	569	- tsc(5) * rdf(k) * w(k,j,i)
	570	ENDDO
	571
	572	!
	573	!-- Calculate tendencies for the next Runge-Kutta step
	574	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	575	IF ( intermediate_timestep_count == 1 ) THEN
	576	DO k = nzb_w_inner(j,i)+1, nzt-1
	577	tw_m(k,j,i) = tend(k,j,i)
	578	ENDDO
	579	ELSEIF ( intermediate_timestep_count < &
	580	intermediate_timestep_count_max ) THEN
	581	DO k = nzb_w_inner(j,i)+1, nzt-1
	582	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	583	ENDDO
	584	ENDIF
	585	ENDIF
	586
	587	!
	588	!-- If required, compute prognostic equation for potential temperature
	589	IF ( .NOT. neutral ) THEN
	590	!
	591	!-- Tendency terms for potential temperature
	592	tend(:,j,i) = 0.0_wp
	593	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	594	IF ( ws_scheme_sca ) THEN
	595	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	596	flux_l_pt, diss_l_pt, i_omp_start, tn )
	597	ELSE
	598	CALL advec_s_pw( i, j, pt )
	599	ENDIF
	600	ELSE
	601	CALL advec_s_up( i, j, pt )
	602	ENDIF
	603	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
	604
	605	!
	606	!-- If required compute heating/cooling due to long wave radiation
	607	!-- processes
	608	IF ( cloud_top_radiation ) THEN
	609	CALL calc_radiation( i, j )
	610	ENDIF
	611
	612	!
	613	!-- Consideration of heat sources within the plant canopy
	614	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	615	CALL pcm_tendency( i, j, 4 )
	616	ENDIF
	617
	618	!
	619	!-- Large scale advection
	620	IF ( large_scale_forcing ) THEN
	621	CALL ls_advec( i, j, simulated_time, 'pt' )
	622	ENDIF
	623
	624	!
	625	!-- Nudging
	626	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	627
	628	!
	629	!-- If required, compute effect of large-scale subsidence/ascent
	630	IF ( large_scale_subsidence .AND. &
	631	.NOT. use_subsidence_tendencies ) THEN
	632	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	633	ENDIF
	634
	635	!
	636	!-- If required, add tendency due to radiative heating/cooling
	637	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	638	simulated_time > skip_time_do_radiation ) THEN
	639	CALL radiation_tendency ( i, j, tend )
	640	ENDIF
	641
	642
	643	CALL user_actions( i, j, 'pt-tendency' )
	644
	645	!
	646	!-- Prognostic equation for potential temperature
	647	DO k = nzb_s_inner(j,i)+1, nzt
	648	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	649	tsc(3) * tpt_m(k,j,i) ) &
	650	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	651	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	652	ENDDO
	653
	654	!
	655	!-- Calculate tendencies for the next Runge-Kutta step
	656	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	657	IF ( intermediate_timestep_count == 1 ) THEN
	658	DO k = nzb_s_inner(j,i)+1, nzt
	659	tpt_m(k,j,i) = tend(k,j,i)
	660	ENDDO
	661	ELSEIF ( intermediate_timestep_count < &
	662	intermediate_timestep_count_max ) THEN
	663	DO k = nzb_s_inner(j,i)+1, nzt
	664	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	665	5.3125_wp * tpt_m(k,j,i)
	666	ENDDO
	667	ENDIF
	668	ENDIF
	669
	670	ENDIF
	671
	672	!
	673	!-- If required, compute prognostic equation for salinity
	674	IF ( ocean ) THEN
	675
	676	!
	677	!-- Tendency-terms for salinity
	678	tend(:,j,i) = 0.0_wp
	679	IF ( timestep_scheme(1:5) == 'runge' ) &
	680	THEN
	681	IF ( ws_scheme_sca ) THEN
	682	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	683	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	684	ELSE
	685	CALL advec_s_pw( i, j, sa )
	686	ENDIF
	687	ELSE
	688	CALL advec_s_up( i, j, sa )
	689	ENDIF
	690	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
	691
	692	CALL user_actions( i, j, 'sa-tendency' )
	693
	694	!
	695	!-- Prognostic equation for salinity
	696	DO k = nzb_s_inner(j,i)+1, nzt
	697	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	698	tsc(3) * tsa_m(k,j,i) ) &
	699	- tsc(5) * rdf_sc(k) * &
	700	( sa(k,j,i) - sa_init(k) )
	701	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	702	ENDDO
	703
	704	!
	705	!-- Calculate tendencies for the next Runge-Kutta step
	706	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	707	IF ( intermediate_timestep_count == 1 ) THEN
	708	DO k = nzb_s_inner(j,i)+1, nzt
	709	tsa_m(k,j,i) = tend(k,j,i)
	710	ENDDO
	711	ELSEIF ( intermediate_timestep_count < &
	712	intermediate_timestep_count_max ) THEN
	713	DO k = nzb_s_inner(j,i)+1, nzt
	714	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	715	5.3125_wp * tsa_m(k,j,i)
	716	ENDDO
	717	ENDIF
	718	ENDIF
	719
	720	!
	721	!-- Calculate density by the equation of state for seawater
	722	CALL eqn_state_seawater( i, j )
	723
	724	ENDIF
	725
	726	!
	727	!-- If required, compute prognostic equation for total water content /
	728	!-- scalar
	729	IF ( humidity .OR. passive_scalar ) THEN
	730
	731	!
	732	!-- Tendency-terms for total water content / scalar
	733	tend(:,j,i) = 0.0_wp
	734	IF ( timestep_scheme(1:5) == 'runge' ) &
	735	THEN
	736	IF ( ws_scheme_sca ) THEN
	737	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	738	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	739	ELSE
	740	CALL advec_s_pw( i, j, q )
	741	ENDIF
	742	ELSE
	743	CALL advec_s_up( i, j, q )
	744	ENDIF
	745	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
	746
	747	!
	748	!-- Sink or source of scalar concentration due to canopy elements
	749	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	750
	751	!
	752	!-- Large scale advection
	753	IF ( large_scale_forcing ) THEN
	754	CALL ls_advec( i, j, simulated_time, 'q' )
	755	ENDIF
	756
	757	!
	758	!-- Nudging
	759	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	760
	761	!
	762	!-- If required compute influence of large-scale subsidence/ascent
	763	IF ( large_scale_subsidence .AND. &
	764	.NOT. use_subsidence_tendencies ) THEN
	765	CALL subsidence( i, j, tend, q, q_init, 3 )
	766	ENDIF
	767
	768	CALL user_actions( i, j, 'q-tendency' )
	769
	770	!
	771	!-- Prognostic equation for total water content / scalar
	772	DO k = nzb_s_inner(j,i)+1, nzt
	773	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	774	tsc(3) * tq_m(k,j,i) ) &
	775	- tsc(5) * rdf_sc(k) * &
	776	( q(k,j,i) - q_init(k) )
	777	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	778	ENDDO
	779
	780	!
	781	!-- Calculate tendencies for the next Runge-Kutta step
	782	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	783	IF ( intermediate_timestep_count == 1 ) THEN
	784	DO k = nzb_s_inner(j,i)+1, nzt
	785	tq_m(k,j,i) = tend(k,j,i)
	786	ENDDO
	787	ELSEIF ( intermediate_timestep_count < &
	788	intermediate_timestep_count_max ) THEN
	789	DO k = nzb_s_inner(j,i)+1, nzt
	790	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	791	5.3125_wp * tq_m(k,j,i)
	792	ENDDO
	793	ENDIF
	794	ENDIF
	795
	796	!
	797	!-- If required, calculate prognostic equations for rain water content
	798	!-- and rain drop concentration
	799	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	800	!
	801	!-- Calculate prognostic equation for rain water content
	802	tend(:,j,i) = 0.0_wp
	803	IF ( timestep_scheme(1:5) == 'runge' ) &
	804	THEN
	805	IF ( ws_scheme_sca ) THEN
	806	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	807	diss_s_qr, flux_l_qr, diss_l_qr, &
	808	i_omp_start, tn )
	809	ELSE
	810	CALL advec_s_pw( i, j, qr )
	811	ENDIF
	812	ELSE
	813	CALL advec_s_up( i, j, qr )
	814	ENDIF
	815	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	816
	817	!
	818	!-- Prognostic equation for rain water content
	819	DO k = nzb_s_inner(j,i)+1, nzt
	820	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	821	tsc(3) * tqr_m(k,j,i) ) &
	822	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	823	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	824	ENDDO
	825	!
	826	!-- Calculate tendencies for the next Runge-Kutta step
	827	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	828	IF ( intermediate_timestep_count == 1 ) THEN
	829	DO k = nzb_s_inner(j,i)+1, nzt
	830	tqr_m(k,j,i) = tend(k,j,i)
	831	ENDDO
	832	ELSEIF ( intermediate_timestep_count < &
	833	intermediate_timestep_count_max ) THEN
	834	DO k = nzb_s_inner(j,i)+1, nzt
	835	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	836	5.3125_wp * tqr_m(k,j,i)
	837	ENDDO
	838	ENDIF
	839	ENDIF
	840
	841	!
	842	!-- Calculate prognostic equation for rain drop concentration.
	843	tend(:,j,i) = 0.0_wp
	844	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	845	IF ( ws_scheme_sca ) THEN
	846	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	847	diss_s_nr, flux_l_nr, diss_l_nr, &
	848	i_omp_start, tn )
	849	ELSE
	850	CALL advec_s_pw( i, j, nr )
	851	ENDIF
	852	ELSE
	853	CALL advec_s_up( i, j, nr )
	854	ENDIF
	855	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	856
	857	!
	858	!-- Prognostic equation for rain drop concentration
	859	DO k = nzb_s_inner(j,i)+1, nzt
	860	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	861	tsc(3) * tnr_m(k,j,i) ) &
	862	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	863	IF ( nr_p(k,j,i) < 0.0_wp ) nr_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	tnr_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	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	876	5.3125_wp * tnr_m(k,j,i)
	877	ENDDO
	878	ENDIF
	879	ENDIF
	880
	881	ENDIF
	882
	883	ENDIF
	884
	885	!
	886	!-- If required, compute prognostic equation for turbulent kinetic
	887	!-- energy (TKE)
	888	IF ( .NOT. constant_diffusion ) THEN
	889
	890	!
	891	!-- Tendency-terms for TKE
	892	tend(:,j,i) = 0.0_wp
	893	IF ( timestep_scheme(1:5) == 'runge' &
	894	.AND. .NOT. use_upstream_for_tke ) THEN
	895	IF ( ws_scheme_sca ) THEN
	896	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	897	flux_l_e, diss_l_e , i_omp_start, tn )
	898	ELSE
	899	CALL advec_s_pw( i, j, e )
	900	ENDIF
	901	ELSE
	902	CALL advec_s_up( i, j, e )
	903	ENDIF
	904	IF ( .NOT. humidity ) THEN
	905	IF ( ocean ) THEN
	906	CALL diffusion_e( i, j, prho, prho_reference )
	907	ELSE
	908	CALL diffusion_e( i, j, pt, pt_reference )
	909	ENDIF
	910	ELSE
	911	CALL diffusion_e( i, j, vpt, pt_reference )
	912	ENDIF
	913	CALL production_e( i, j )
	914
	915	!
	916	!-- Additional sink term for flows through plant canopies
	917	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
	918
	919	CALL user_actions( i, j, 'e-tendency' )
	920
	921	!
	922	!-- Prognostic equation for TKE.
	923	!-- Eliminate negative TKE values, which can occur due to numerical
	924	!-- reasons in the course of the integration. In such cases the old
	925	!-- TKE value is reduced by 90%.
	926	DO k = nzb_s_inner(j,i)+1, nzt
	927	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	928	tsc(3) * te_m(k,j,i) )
	929	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	930	ENDDO
	931
	932	!
	933	!-- Calculate tendencies for the next Runge-Kutta step
	934	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	935	IF ( intermediate_timestep_count == 1 ) THEN
	936	DO k = nzb_s_inner(j,i)+1, nzt
	937	te_m(k,j,i) = tend(k,j,i)
	938	ENDDO
	939	ELSEIF ( intermediate_timestep_count < &
	940	intermediate_timestep_count_max ) THEN
	941	DO k = nzb_s_inner(j,i)+1, nzt
	942	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	943	5.3125_wp * te_m(k,j,i)
	944	ENDDO
	945	ENDIF
	946	ENDIF
	947
	948	ENDIF ! TKE equation
	949
	950	ENDDO
	951	ENDDO
	952	!$OMP END PARALLEL
	953
	954	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	955
	956
	957	END SUBROUTINE prognostic_equations_cache
	958
	959
	960	!------------------------------------------------------------------------------!
	961	! Description:
	962	! ------------
	963	!> Version for vector machines
	964	!------------------------------------------------------------------------------!
	965
	966	SUBROUTINE prognostic_equations_vector
	967
	968
	969	IMPLICIT NONE
	970
	971	INTEGER(iwp) :: i !<
	972	INTEGER(iwp) :: j !<
	973	INTEGER(iwp) :: k !<
	974
	975	REAL(wp) :: sbt !<
	976
	977
	978	!
	979	!-- If required, calculate cloud microphysical impacts
	980	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	981	( intermediate_timestep_count == 1 .OR. &
	982	call_microphysics_at_all_substeps ) &
	983	) THEN
	984	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	985	CALL microphysics_control
	986	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	987	ENDIF
	988
	989	!
	990	!-- u-velocity component
	991	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	992
	993	tend = 0.0_wp
	994	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	995	IF ( ws_scheme_mom ) THEN
	996	CALL advec_u_ws
	997	ELSE
	998	CALL advec_u_pw
	999	ENDIF
	1000	ELSE
	1001	CALL advec_u_up
	1002	ENDIF
	1003	CALL diffusion_u
	1004	CALL coriolis( 1 )
	1005	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1006	CALL buoyancy( pt, 1 )
	1007	ENDIF
	1008
	1009	!
	1010	!-- Drag by plant canopy
	1011	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1012
	1013	!
	1014	!-- External pressure gradient
	1015	IF ( dp_external ) THEN
	1016	DO i = nxlu, nxr
	1017	DO j = nys, nyn
	1018	DO k = dp_level_ind_b+1, nzt
	1019	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1020	ENDDO
	1021	ENDDO
	1022	ENDDO
	1023	ENDIF
	1024
	1025	!
	1026	!-- Nudging
	1027	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1028
[1914]	1029	!
	1030	!-- Forces by wind turbines
	1031	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1032
[1875]	1033	CALL user_actions( 'u-tendency' )
	1034
	1035	!
	1036	!-- Prognostic equation for u-velocity component
	1037	DO i = nxlu, nxr
	1038	DO j = nys, nyn
	1039	DO k = nzb_u_inner(j,i)+1, nzt
	1040	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1041	tsc(3) * tu_m(k,j,i) ) &
	1042	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1043	ENDDO
	1044	ENDDO
	1045	ENDDO
	1046
	1047	!
	1048	!-- Calculate tendencies for the next Runge-Kutta step
	1049	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1050	IF ( intermediate_timestep_count == 1 ) THEN
	1051	DO i = nxlu, nxr
	1052	DO j = nys, nyn
	1053	DO k = nzb_u_inner(j,i)+1, nzt
	1054	tu_m(k,j,i) = tend(k,j,i)
	1055	ENDDO
	1056	ENDDO
	1057	ENDDO
	1058	ELSEIF ( intermediate_timestep_count < &
	1059	intermediate_timestep_count_max ) THEN
	1060	DO i = nxlu, nxr
	1061	DO j = nys, nyn
	1062	DO k = nzb_u_inner(j,i)+1, nzt
	1063	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1064	ENDDO
	1065	ENDDO
	1066	ENDDO
	1067	ENDIF
	1068	ENDIF
	1069
	1070	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1071
	1072	!
	1073	!-- v-velocity component
	1074	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1075
	1076	tend = 0.0_wp
	1077	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1078	IF ( ws_scheme_mom ) THEN
	1079	CALL advec_v_ws
	1080	ELSE
	1081	CALL advec_v_pw
	1082	END IF
	1083	ELSE
	1084	CALL advec_v_up
	1085	ENDIF
	1086	CALL diffusion_v
	1087	CALL coriolis( 2 )
	1088
	1089	!
	1090	!-- Drag by plant canopy
	1091	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1092
	1093	!
	1094	!-- External pressure gradient
	1095	IF ( dp_external ) THEN
	1096	DO i = nxl, nxr
	1097	DO j = nysv, nyn
	1098	DO k = dp_level_ind_b+1, nzt
	1099	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1100	ENDDO
	1101	ENDDO
	1102	ENDDO
	1103	ENDIF
	1104
	1105	!
	1106	!-- Nudging
	1107	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1108
[1914]	1109	!
	1110	!-- Forces by wind turbines
	1111	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1112
[1875]	1113	CALL user_actions( 'v-tendency' )
	1114
	1115	!
	1116	!-- Prognostic equation for v-velocity component
	1117	DO i = nxl, nxr
	1118	DO j = nysv, nyn
	1119	DO k = nzb_v_inner(j,i)+1, nzt
	1120	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1121	tsc(3) * tv_m(k,j,i) ) &
	1122	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1123	ENDDO
	1124	ENDDO
	1125	ENDDO
	1126
	1127	!
	1128	!-- Calculate tendencies for the next Runge-Kutta step
	1129	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1130	IF ( intermediate_timestep_count == 1 ) THEN
	1131	DO i = nxl, nxr
	1132	DO j = nysv, nyn
	1133	DO k = nzb_v_inner(j,i)+1, nzt
	1134	tv_m(k,j,i) = tend(k,j,i)
	1135	ENDDO
	1136	ENDDO
	1137	ENDDO
	1138	ELSEIF ( intermediate_timestep_count < &
	1139	intermediate_timestep_count_max ) THEN
	1140	DO i = nxl, nxr
	1141	DO j = nysv, nyn
	1142	DO k = nzb_v_inner(j,i)+1, nzt
	1143	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1144	ENDDO
	1145	ENDDO
	1146	ENDDO
	1147	ENDIF
	1148	ENDIF
	1149
	1150	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1151
	1152	!
	1153	!-- w-velocity component
	1154	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1155
	1156	tend = 0.0_wp
	1157	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1158	IF ( ws_scheme_mom ) THEN
	1159	CALL advec_w_ws
	1160	ELSE
	1161	CALL advec_w_pw
	1162	ENDIF
	1163	ELSE
	1164	CALL advec_w_up
	1165	ENDIF
	1166	CALL diffusion_w
	1167	CALL coriolis( 3 )
	1168
	1169	IF ( .NOT. neutral ) THEN
	1170	IF ( ocean ) THEN
	1171	CALL buoyancy( rho, 3 )
	1172	ELSE
	1173	IF ( .NOT. humidity ) THEN
	1174	CALL buoyancy( pt, 3 )
	1175	ELSE
	1176	CALL buoyancy( vpt, 3 )
	1177	ENDIF
	1178	ENDIF
	1179	ENDIF
	1180
	1181	!
	1182	!-- Drag by plant canopy
	1183	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1184
[1914]	1185	!
	1186	!-- Forces by wind turbines
	1187	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1188
[1875]	1189	CALL user_actions( 'w-tendency' )
	1190
	1191	!
	1192	!-- Prognostic equation for w-velocity component
	1193	DO i = nxl, nxr
	1194	DO j = nys, nyn
	1195	DO k = nzb_w_inner(j,i)+1, nzt-1
	1196	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1197	tsc(3) * tw_m(k,j,i) ) &
	1198	- tsc(5) * rdf(k) * w(k,j,i)
	1199	ENDDO
	1200	ENDDO
	1201	ENDDO
	1202
	1203	!
	1204	!-- Calculate tendencies for the next Runge-Kutta step
	1205	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1206	IF ( intermediate_timestep_count == 1 ) THEN
	1207	DO i = nxl, nxr
	1208	DO j = nys, nyn
	1209	DO k = nzb_w_inner(j,i)+1, nzt-1
	1210	tw_m(k,j,i) = tend(k,j,i)
	1211	ENDDO
	1212	ENDDO
	1213	ENDDO
	1214	ELSEIF ( intermediate_timestep_count < &
	1215	intermediate_timestep_count_max ) THEN
	1216	DO i = nxl, nxr
	1217	DO j = nys, nyn
	1218	DO k = nzb_w_inner(j,i)+1, nzt-1
	1219	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	1220	ENDDO
	1221	ENDDO
	1222	ENDDO
	1223	ENDIF
	1224	ENDIF
	1225
	1226	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1227
	1228
	1229	!
	1230	!-- If required, compute prognostic equation for potential temperature
	1231	IF ( .NOT. neutral ) THEN
	1232
	1233	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1234
	1235	!
	1236	!-- pt-tendency terms with communication
	1237	sbt = tsc(2)
	1238	IF ( scalar_advec == 'bc-scheme' ) THEN
	1239
	1240	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1241	!
	1242	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1243	sbt = 1.0_wp
	1244	ENDIF
	1245	tend = 0.0_wp
	1246	CALL advec_s_bc( pt, 'pt' )
	1247
	1248	ENDIF
	1249
	1250	!
	1251	!-- pt-tendency terms with no communication
	1252	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1253	tend = 0.0_wp
	1254	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1255	IF ( ws_scheme_sca ) THEN
	1256	CALL advec_s_ws( pt, 'pt' )
	1257	ELSE
	1258	CALL advec_s_pw( pt )
	1259	ENDIF
	1260	ELSE
	1261	CALL advec_s_up( pt )
	1262	ENDIF
	1263	ENDIF
	1264
	1265	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1266
	1267	!
	1268	!-- If required compute heating/cooling due to long wave radiation processes
	1269	IF ( cloud_top_radiation ) THEN
	1270	CALL calc_radiation
	1271	ENDIF
	1272
	1273	!
	1274	!-- Consideration of heat sources within the plant canopy
	1275	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1276	CALL pcm_tendency( 4 )
	1277	ENDIF
	1278
	1279	!
	1280	!-- Large scale advection
	1281	IF ( large_scale_forcing ) THEN
	1282	CALL ls_advec( simulated_time, 'pt' )
	1283	ENDIF
	1284
	1285	!
	1286	!-- Nudging
	1287	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1288
	1289	!
	1290	!-- If required compute influence of large-scale subsidence/ascent
	1291	IF ( large_scale_subsidence .AND. &
	1292	.NOT. use_subsidence_tendencies ) THEN
	1293	CALL subsidence( tend, pt, pt_init, 2 )
	1294	ENDIF
	1295
	1296	!
	1297	!-- If required, add tendency due to radiative heating/cooling
	1298	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	1299	simulated_time > skip_time_do_radiation ) THEN
	1300	CALL radiation_tendency ( tend )
	1301	ENDIF
	1302
	1303	CALL user_actions( 'pt-tendency' )
	1304
	1305	!
	1306	!-- Prognostic equation for potential temperature
	1307	DO i = nxl, nxr
	1308	DO j = nys, nyn
	1309	DO k = nzb_s_inner(j,i)+1, nzt
	1310	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1311	tsc(3) * tpt_m(k,j,i) ) &
	1312	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1313	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	1314	ENDDO
	1315	ENDDO
	1316	ENDDO
	1317
	1318	!
	1319	!-- Calculate tendencies for the next Runge-Kutta step
	1320	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1321	IF ( intermediate_timestep_count == 1 ) THEN
	1322	DO i = nxl, nxr
	1323	DO j = nys, nyn
	1324	DO k = nzb_s_inner(j,i)+1, nzt
	1325	tpt_m(k,j,i) = tend(k,j,i)
	1326	ENDDO
	1327	ENDDO
	1328	ENDDO
	1329	ELSEIF ( intermediate_timestep_count < &
	1330	intermediate_timestep_count_max ) THEN
	1331	DO i = nxl, nxr
	1332	DO j = nys, nyn
	1333	DO k = nzb_s_inner(j,i)+1, nzt
	1334	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1335	5.3125_wp * tpt_m(k,j,i)
	1336	ENDDO
	1337	ENDDO
	1338	ENDDO
	1339	ENDIF
	1340	ENDIF
	1341
	1342	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1343
	1344	ENDIF
	1345
	1346	!
	1347	!-- If required, compute prognostic equation for salinity
	1348	IF ( ocean ) THEN
	1349
	1350	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1351
	1352	!
	1353	!-- sa-tendency terms with communication
	1354	sbt = tsc(2)
	1355	IF ( scalar_advec == 'bc-scheme' ) THEN
	1356
	1357	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1358	!
	1359	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1360	sbt = 1.0_wp
	1361	ENDIF
	1362	tend = 0.0_wp
	1363	CALL advec_s_bc( sa, 'sa' )
	1364
	1365	ENDIF
	1366
	1367	!
	1368	!-- sa-tendency terms with no communication
	1369	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1370	tend = 0.0_wp
	1371	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1372	IF ( ws_scheme_sca ) THEN
	1373	CALL advec_s_ws( sa, 'sa' )
	1374	ELSE
	1375	CALL advec_s_pw( sa )
	1376	ENDIF
	1377	ELSE
	1378	CALL advec_s_up( sa )
	1379	ENDIF
	1380	ENDIF
	1381
	1382	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	1383
	1384	CALL user_actions( 'sa-tendency' )
	1385
	1386	!
	1387	!-- Prognostic equation for salinity
	1388	DO i = nxl, nxr
	1389	DO j = nys, nyn
	1390	DO k = nzb_s_inner(j,i)+1, nzt
	1391	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1392	tsc(3) * tsa_m(k,j,i) ) &
	1393	- tsc(5) * rdf_sc(k) * &
	1394	( sa(k,j,i) - sa_init(k) )
	1395	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1396	ENDDO
	1397	ENDDO
	1398	ENDDO
	1399
	1400	!
	1401	!-- Calculate tendencies for the next Runge-Kutta step
	1402	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1403	IF ( intermediate_timestep_count == 1 ) THEN
	1404	DO i = nxl, nxr
	1405	DO j = nys, nyn
	1406	DO k = nzb_s_inner(j,i)+1, nzt
	1407	tsa_m(k,j,i) = tend(k,j,i)
	1408	ENDDO
	1409	ENDDO
	1410	ENDDO
	1411	ELSEIF ( intermediate_timestep_count < &
	1412	intermediate_timestep_count_max ) THEN
	1413	DO i = nxl, nxr
	1414	DO j = nys, nyn
	1415	DO k = nzb_s_inner(j,i)+1, nzt
	1416	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1417	5.3125_wp * tsa_m(k,j,i)
	1418	ENDDO
	1419	ENDDO
	1420	ENDDO
	1421	ENDIF
	1422	ENDIF
	1423
	1424	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1425
	1426	!
	1427	!-- Calculate density by the equation of state for seawater
	1428	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1429	CALL eqn_state_seawater
	1430	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1431
	1432	ENDIF
	1433
	1434	!
	1435	!-- If required, compute prognostic equation for total water content / scalar
	1436	IF ( humidity .OR. passive_scalar ) THEN
	1437
	1438	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1439
	1440	!
	1441	!-- Scalar/q-tendency terms with communication
	1442	sbt = tsc(2)
	1443	IF ( scalar_advec == 'bc-scheme' ) THEN
	1444
	1445	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1446	!
	1447	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1448	sbt = 1.0_wp
	1449	ENDIF
	1450	tend = 0.0_wp
	1451	CALL advec_s_bc( q, 'q' )
	1452
	1453	ENDIF
	1454
	1455	!
	1456	!-- Scalar/q-tendency terms with no communication
	1457	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1458	tend = 0.0_wp
	1459	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1460	IF ( ws_scheme_sca ) THEN
	1461	CALL advec_s_ws( q, 'q' )
	1462	ELSE
	1463	CALL advec_s_pw( q )
	1464	ENDIF
	1465	ELSE
	1466	CALL advec_s_up( q )
	1467	ENDIF
	1468	ENDIF
	1469
	1470	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	1471
	1472	!
	1473	!-- Sink or source of scalar concentration due to canopy elements
	1474	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1475
	1476	!
	1477	!-- Large scale advection
	1478	IF ( large_scale_forcing ) THEN
	1479	CALL ls_advec( simulated_time, 'q' )
	1480	ENDIF
	1481
	1482	!
	1483	!-- Nudging
	1484	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1485
	1486	!
	1487	!-- If required compute influence of large-scale subsidence/ascent
	1488	IF ( large_scale_subsidence .AND. &
	1489	.NOT. use_subsidence_tendencies ) THEN
	1490	CALL subsidence( tend, q, q_init, 3 )
	1491	ENDIF
	1492
	1493	CALL user_actions( 'q-tendency' )
	1494
	1495	!
	1496	!-- Prognostic equation for total water content / scalar
	1497	DO i = nxl, nxr
	1498	DO j = nys, nyn
	1499	DO k = nzb_s_inner(j,i)+1, nzt
	1500	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1501	tsc(3) * tq_m(k,j,i) ) &
	1502	- tsc(5) * rdf_sc(k) * &
	1503	( q(k,j,i) - q_init(k) )
	1504	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1505	ENDDO
	1506	ENDDO
	1507	ENDDO
	1508
	1509	!
	1510	!-- Calculate tendencies for the next Runge-Kutta step
	1511	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1512	IF ( intermediate_timestep_count == 1 ) THEN
	1513	DO i = nxl, nxr
	1514	DO j = nys, nyn
	1515	DO k = nzb_s_inner(j,i)+1, nzt
	1516	tq_m(k,j,i) = tend(k,j,i)
	1517	ENDDO
	1518	ENDDO
	1519	ENDDO
	1520	ELSEIF ( intermediate_timestep_count < &
	1521	intermediate_timestep_count_max ) THEN
	1522	DO i = nxl, nxr
	1523	DO j = nys, nyn
	1524	DO k = nzb_s_inner(j,i)+1, nzt
	1525	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	1526	ENDDO
	1527	ENDDO
	1528	ENDDO
	1529	ENDIF
	1530	ENDIF
	1531
	1532	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1533
	1534	!
	1535	!-- If required, calculate prognostic equations for rain water content
	1536	!-- and rain drop concentration
	1537	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1538
	1539	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1540
	1541	!
	1542	!-- Calculate prognostic equation for rain water content
	1543	sbt = tsc(2)
	1544	IF ( scalar_advec == 'bc-scheme' ) THEN
	1545
	1546	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1547	!
	1548	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1549	sbt = 1.0_wp
	1550	ENDIF
	1551	tend = 0.0_wp
	1552	CALL advec_s_bc( qr, 'qr' )
	1553
	1554	ENDIF
	1555
	1556	!
	1557	!-- qr-tendency terms with no communication
	1558	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1559	tend = 0.0_wp
	1560	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1561	IF ( ws_scheme_sca ) THEN
	1562	CALL advec_s_ws( qr, 'qr' )
	1563	ELSE
	1564	CALL advec_s_pw( qr )
	1565	ENDIF
	1566	ELSE
	1567	CALL advec_s_up( qr )
	1568	ENDIF
	1569	ENDIF
	1570
	1571	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1572
	1573	CALL user_actions( 'qr-tendency' )
	1574
	1575	!
	1576	!-- Prognostic equation for rain water content
	1577	DO i = nxl, nxr
	1578	DO j = nys, nyn
	1579	DO k = nzb_s_inner(j,i)+1, nzt
	1580	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1581	tsc(3) * tqr_m(k,j,i) ) &
	1582	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1583	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1584	ENDDO
	1585	ENDDO
	1586	ENDDO
	1587
	1588	!
	1589	!-- Calculate tendencies for the next Runge-Kutta step
	1590	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1591	IF ( intermediate_timestep_count == 1 ) THEN
	1592	DO i = nxl, nxr
	1593	DO j = nys, nyn
	1594	DO k = nzb_s_inner(j,i)+1, nzt
	1595	tqr_m(k,j,i) = tend(k,j,i)
	1596	ENDDO
	1597	ENDDO
	1598	ENDDO
	1599	ELSEIF ( intermediate_timestep_count < &
	1600	intermediate_timestep_count_max ) THEN
	1601	DO i = nxl, nxr
	1602	DO j = nys, nyn
	1603	DO k = nzb_s_inner(j,i)+1, nzt
	1604	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1605	tqr_m(k,j,i)
	1606	ENDDO
	1607	ENDDO
	1608	ENDDO
	1609	ENDIF
	1610	ENDIF
	1611
	1612	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1613	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1614
	1615	!
	1616	!-- Calculate prognostic equation for rain drop concentration
	1617	sbt = tsc(2)
	1618	IF ( scalar_advec == 'bc-scheme' ) THEN
	1619
	1620	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1621	!
	1622	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1623	sbt = 1.0_wp
	1624	ENDIF
	1625	tend = 0.0_wp
	1626	CALL advec_s_bc( nr, 'nr' )
	1627
	1628	ENDIF
	1629
	1630	!
	1631	!-- nr-tendency terms with no communication
	1632	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1633	tend = 0.0_wp
	1634	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1635	IF ( ws_scheme_sca ) THEN
	1636	CALL advec_s_ws( nr, 'nr' )
	1637	ELSE
	1638	CALL advec_s_pw( nr )
	1639	ENDIF
	1640	ELSE
	1641	CALL advec_s_up( nr )
	1642	ENDIF
	1643	ENDIF
	1644
	1645	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1646
	1647	!
	1648	!-- Prognostic equation for rain drop concentration
	1649	DO i = nxl, nxr
	1650	DO j = nys, nyn
	1651	DO k = nzb_s_inner(j,i)+1, nzt
	1652	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1653	tsc(3) * tnr_m(k,j,i) ) &
	1654	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1655	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1656	ENDDO
	1657	ENDDO
	1658	ENDDO
	1659
	1660	!
	1661	!-- Calculate tendencies for the next Runge-Kutta step
	1662	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1663	IF ( intermediate_timestep_count == 1 ) THEN
	1664	DO i = nxl, nxr
	1665	DO j = nys, nyn
	1666	DO k = nzb_s_inner(j,i)+1, nzt
	1667	tnr_m(k,j,i) = tend(k,j,i)
	1668	ENDDO
	1669	ENDDO
	1670	ENDDO
	1671	ELSEIF ( intermediate_timestep_count < &
	1672	intermediate_timestep_count_max ) THEN
	1673	DO i = nxl, nxr
	1674	DO j = nys, nyn
	1675	DO k = nzb_s_inner(j,i)+1, nzt
	1676	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1677	tnr_m(k,j,i)
	1678	ENDDO
	1679	ENDDO
	1680	ENDDO
	1681	ENDIF
	1682	ENDIF
	1683
	1684	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1685
	1686	ENDIF
	1687
	1688	ENDIF
	1689
	1690	!
	1691	!-- If required, compute prognostic equation for turbulent kinetic
	1692	!-- energy (TKE)
	1693	IF ( .NOT. constant_diffusion ) THEN
	1694
	1695	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1696
	1697	sbt = tsc(2)
	1698	IF ( .NOT. use_upstream_for_tke ) THEN
	1699	IF ( scalar_advec == 'bc-scheme' ) THEN
	1700
	1701	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1702	!
	1703	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1704	sbt = 1.0_wp
	1705	ENDIF
	1706	tend = 0.0_wp
	1707	CALL advec_s_bc( e, 'e' )
	1708
	1709	ENDIF
	1710	ENDIF
	1711
	1712	!
	1713	!-- TKE-tendency terms with no communication
	1714	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	1715	IF ( use_upstream_for_tke ) THEN
	1716	tend = 0.0_wp
	1717	CALL advec_s_up( e )
	1718	ELSE
	1719	tend = 0.0_wp
	1720	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1721	IF ( ws_scheme_sca ) THEN
	1722	CALL advec_s_ws( e, 'e' )
	1723	ELSE
	1724	CALL advec_s_pw( e )
	1725	ENDIF
	1726	ELSE
	1727	CALL advec_s_up( e )
	1728	ENDIF
	1729	ENDIF
	1730	ENDIF
	1731
	1732	IF ( .NOT. humidity ) THEN
	1733	IF ( ocean ) THEN
	1734	CALL diffusion_e( prho, prho_reference )
	1735	ELSE
	1736	CALL diffusion_e( pt, pt_reference )
	1737	ENDIF
	1738	ELSE
	1739	CALL diffusion_e( vpt, pt_reference )
	1740	ENDIF
	1741
	1742	CALL production_e
	1743
	1744	!
	1745	!-- Additional sink term for flows through plant canopies
	1746	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	1747	CALL user_actions( 'e-tendency' )
	1748
	1749	!
	1750	!-- Prognostic equation for TKE.
	1751	!-- Eliminate negative TKE values, which can occur due to numerical
	1752	!-- reasons in the course of the integration. In such cases the old TKE
	1753	!-- value is reduced by 90%.
	1754	DO i = nxl, nxr
	1755	DO j = nys, nyn
	1756	DO k = nzb_s_inner(j,i)+1, nzt
	1757	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1758	tsc(3) * te_m(k,j,i) )
	1759	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1760	ENDDO
	1761	ENDDO
	1762	ENDDO
	1763
	1764	!
	1765	!-- Calculate tendencies for the next Runge-Kutta step
	1766	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1767	IF ( intermediate_timestep_count == 1 ) THEN
	1768	DO i = nxl, nxr
	1769	DO j = nys, nyn
	1770	DO k = nzb_s_inner(j,i)+1, nzt
	1771	te_m(k,j,i) = tend(k,j,i)
	1772	ENDDO
	1773	ENDDO
	1774	ENDDO
	1775	ELSEIF ( intermediate_timestep_count < &
	1776	intermediate_timestep_count_max ) THEN
	1777	DO i = nxl, nxr
	1778	DO j = nys, nyn
	1779	DO k = nzb_s_inner(j,i)+1, nzt
	1780	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	1781	ENDDO
	1782	ENDDO
	1783	ENDDO
	1784	ENDIF
	1785	ENDIF
	1786
	1787	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1788
	1789	ENDIF
	1790
	1791	END SUBROUTINE prognostic_equations_vector
	1792
	1793
	1794	!------------------------------------------------------------------------------!
	1795	! Description:
	1796	! ------------
	1797	!> Version for accelerator boards
	1798	!------------------------------------------------------------------------------!
	1799
	1800	SUBROUTINE prognostic_equations_acc
	1801
	1802
	1803	IMPLICIT NONE
	1804
	1805	INTEGER(iwp) :: i !<
	1806	INTEGER(iwp) :: j !<
	1807	INTEGER(iwp) :: k !<
	1808	INTEGER(iwp) :: runge_step !<
	1809
	1810	REAL(wp) :: sbt !<
	1811
	1812	!
	1813	!-- Set switch for intermediate Runge-Kutta step
	1814	runge_step = 0
	1815	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1816	IF ( intermediate_timestep_count == 1 ) THEN
	1817	runge_step = 1
	1818	ELSEIF ( intermediate_timestep_count < &
	1819	intermediate_timestep_count_max ) THEN
	1820	runge_step = 2
	1821	ENDIF
	1822	ENDIF
	1823
	1824	!
	1825	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	1826	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1827	( intermediate_timestep_count == 1 .OR. &
	1828	call_microphysics_at_all_substeps ) &
	1829	) THEN
	1830	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1831	CALL microphysics_control
	1832	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1833	ENDIF
	1834
	1835	!
	1836	!-- u-velocity component
	1837	!++ Statistics still not completely ported to accelerators
	1838	!$acc update device( hom, ref_state )
	1839	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1840
	1841	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1842	IF ( ws_scheme_mom ) THEN
	1843	CALL advec_u_ws_acc
	1844	ELSE
	1845	tend = 0.0_wp ! to be removed later??
	1846	CALL advec_u_pw
	1847	ENDIF
	1848	ELSE
	1849	CALL advec_u_up
	1850	ENDIF
	1851	CALL diffusion_u_acc
	1852	CALL coriolis_acc( 1 )
	1853	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1854	CALL buoyancy( pt, 1 )
	1855	ENDIF
	1856
	1857	!
	1858	!-- Drag by plant canopy
	1859	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1860
	1861	!
	1862	!-- External pressure gradient
	1863	IF ( dp_external ) THEN
	1864	DO i = i_left, i_right
	1865	DO j = j_south, j_north
	1866	DO k = dp_level_ind_b+1, nzt
	1867	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1868	ENDDO
	1869	ENDDO
	1870	ENDDO
	1871	ENDIF
	1872
	1873	!
	1874	!-- Nudging
	1875	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1876
[1914]	1877	!
	1878	!-- Forces by wind turbines
	1879	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1880
[1875]	1881	CALL user_actions( 'u-tendency' )
	1882
	1883	!
	1884	!-- Prognostic equation for u-velocity component
	1885	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, u_init, u_p )
	1886	!$acc loop independent
	1887	DO i = i_left, i_right
	1888	!$acc loop independent
	1889	DO j = j_south, j_north
	1890	!$acc loop independent
	1891	DO k = 1, nzt
	1892	IF ( k > nzb_u_inner(j,i) ) THEN
	1893	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1894	tsc(3) * tu_m(k,j,i) ) &
	1895	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1896	!
	1897	!-- Tendencies for the next Runge-Kutta step
	1898	IF ( runge_step == 1 ) THEN
	1899	tu_m(k,j,i) = tend(k,j,i)
	1900	ELSEIF ( runge_step == 2 ) THEN
	1901	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1902	ENDIF
	1903	ENDIF
	1904	ENDDO
	1905	ENDDO
	1906	ENDDO
	1907	!$acc end kernels
	1908
	1909	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1910
	1911	!
	1912	!-- v-velocity component
	1913	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1914
	1915	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1916	IF ( ws_scheme_mom ) THEN
	1917	CALL advec_v_ws_acc
	1918	ELSE
	1919	tend = 0.0_wp ! to be removed later??
	1920	CALL advec_v_pw
	1921	END IF
	1922	ELSE
	1923	CALL advec_v_up
	1924	ENDIF
	1925	CALL diffusion_v_acc
	1926	CALL coriolis_acc( 2 )
	1927
	1928	!
	1929	!-- Drag by plant canopy
	1930	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1931
	1932	!
	1933	!-- External pressure gradient
	1934	IF ( dp_external ) THEN
	1935	DO i = i_left, i_right
	1936	DO j = j_south, j_north
	1937	DO k = dp_level_ind_b+1, nzt
	1938	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1939	ENDDO
	1940	ENDDO
	1941	ENDDO
	1942	ENDIF
	1943
	1944	!
	1945	!-- Nudging
	1946	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1947
[1914]	1948	!
	1949	!-- Forces by wind turbines
	1950	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1951
[1875]	1952	CALL user_actions( 'v-tendency' )
	1953
	1954	!
	1955	!-- Prognostic equation for v-velocity component
	1956	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, v_init, v_p )
	1957	!$acc loop independent
	1958	DO i = i_left, i_right
	1959	!$acc loop independent
	1960	DO j = j_south, j_north
	1961	!$acc loop independent
	1962	DO k = 1, nzt
	1963	IF ( k > nzb_v_inner(j,i) ) THEN
	1964	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1965	tsc(3) * tv_m(k,j,i) ) &
	1966	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1967	!
	1968	!-- Tendencies for the next Runge-Kutta step
	1969	IF ( runge_step == 1 ) THEN
	1970	tv_m(k,j,i) = tend(k,j,i)
	1971	ELSEIF ( runge_step == 2 ) THEN
	1972	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1973	ENDIF
	1974	ENDIF
	1975	ENDDO
	1976	ENDDO
	1977	ENDDO
	1978	!$acc end kernels
	1979
	1980	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1981
	1982	!
	1983	!-- w-velocity component
	1984	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1985
	1986	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1987	IF ( ws_scheme_mom ) THEN
	1988	CALL advec_w_ws_acc
	1989	ELSE
	1990	tend = 0.0_wp ! to be removed later??
	1991	CALL advec_w_pw
	1992	ENDIF
	1993	ELSE
	1994	CALL advec_w_up
	1995	ENDIF
	1996	CALL diffusion_w_acc
	1997	CALL coriolis_acc( 3 )
	1998
	1999	IF ( .NOT. neutral ) THEN
	2000	IF ( ocean ) THEN
	2001	CALL buoyancy( rho, 3 )
	2002	ELSE
	2003	IF ( .NOT. humidity ) THEN
	2004	CALL buoyancy_acc( pt, 3 )
	2005	ELSE
	2006	CALL buoyancy( vpt, 3 )
	2007	ENDIF
	2008	ENDIF
	2009	ENDIF
	2010
	2011	!
	2012	!-- Drag by plant canopy
	2013	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	2014
[1914]	2015	!
	2016	!-- Forces by wind turbines
	2017	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	2018
[1875]	2019	CALL user_actions( 'w-tendency' )
	2020
	2021	!
	2022	!-- Prognostic equation for w-velocity component
	2023	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
	2024	!$acc loop independent
	2025	DO i = i_left, i_right
	2026	!$acc loop independent
	2027	DO j = j_south, j_north
	2028	!$acc loop independent
	2029	DO k = 1, nzt-1
	2030	IF ( k > nzb_w_inner(j,i) ) THEN
	2031	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2032	tsc(3) * tw_m(k,j,i) ) &
	2033	- tsc(5) * rdf(k) * w(k,j,i)
	2034	!
	2035	!-- Tendencies for the next Runge-Kutta step
	2036	IF ( runge_step == 1 ) THEN
	2037	tw_m(k,j,i) = tend(k,j,i)
	2038	ELSEIF ( runge_step == 2 ) THEN
	2039	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	2040	ENDIF
	2041	ENDIF
	2042	ENDDO
	2043	ENDDO
	2044	ENDDO
	2045	!$acc end kernels
	2046
	2047	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	2048
	2049
	2050	!
	2051	!-- If required, compute prognostic equation for potential temperature
	2052	IF ( .NOT. neutral ) THEN
	2053
	2054	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	2055
	2056	!
	2057	!-- pt-tendency terms with communication
	2058	sbt = tsc(2)
	2059	IF ( scalar_advec == 'bc-scheme' ) THEN
	2060
	2061	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2062	!
	2063	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2064	sbt = 1.0_wp
	2065	ENDIF
	2066	tend = 0.0_wp
	2067	CALL advec_s_bc( pt, 'pt' )
	2068
	2069	ENDIF
	2070
	2071	!
	2072	!-- pt-tendency terms with no communication
	2073	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2074	tend = 0.0_wp
	2075	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2076	IF ( ws_scheme_sca ) THEN
	2077	CALL advec_s_ws_acc( pt, 'pt' )
	2078	ELSE
	2079	tend = 0.0_wp ! to be removed later??
	2080	CALL advec_s_pw( pt )
	2081	ENDIF
	2082	ELSE
	2083	CALL advec_s_up( pt )
	2084	ENDIF
	2085	ENDIF
	2086
	2087	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2088
	2089	!
	2090	!-- If required compute heating/cooling due to long wave radiation processes
	2091	IF ( cloud_top_radiation ) THEN
	2092	CALL calc_radiation
	2093	ENDIF
	2094
	2095	!
	2096	!-- Consideration of heat sources within the plant canopy
	2097	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	2098	CALL pcm_tendency( 4 )
	2099	ENDIF
	2100
	2101	!
	2102	!-- Large scale advection
	2103	IF ( large_scale_forcing ) THEN
	2104	CALL ls_advec( simulated_time, 'pt' )
	2105	ENDIF
	2106
	2107	!
	2108	!-- Nudging
	2109	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2110
	2111	!
	2112	!-- If required compute influence of large-scale subsidence/ascent
	2113	IF ( large_scale_subsidence .AND. &
	2114	.NOT. use_subsidence_tendencies ) THEN
	2115	CALL subsidence( tend, pt, pt_init, 2 )
	2116	ENDIF
	2117
	2118	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	2119	simulated_time > skip_time_do_radiation ) THEN
	2120	CALL radiation_tendency ( tend )
	2121	ENDIF
	2122
	2123	CALL user_actions( 'pt-tendency' )
	2124
	2125	!
	2126	!-- Prognostic equation for potential temperature
	2127	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2128	!$acc present( tend, tpt_m, pt, pt_p )
	2129	!$acc loop independent
	2130	DO i = i_left, i_right
	2131	!$acc loop independent
	2132	DO j = j_south, j_north
	2133	!$acc loop independent
	2134	DO k = 1, nzt
	2135	IF ( k > nzb_s_inner(j,i) ) THEN
	2136	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2137	tsc(3) * tpt_m(k,j,i) ) &
	2138	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2139	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2140	!
	2141	!-- Tendencies for the next Runge-Kutta step
	2142	IF ( runge_step == 1 ) THEN
	2143	tpt_m(k,j,i) = tend(k,j,i)
	2144	ELSEIF ( runge_step == 2 ) THEN
	2145	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
	2146	ENDIF
	2147	ENDIF
	2148	ENDDO
	2149	ENDDO
	2150	ENDDO
	2151	!$acc end kernels
	2152
	2153	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2154
	2155	ENDIF
	2156
	2157	!
	2158	!-- If required, compute prognostic equation for salinity
	2159	IF ( ocean ) THEN
	2160
	2161	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2162
	2163	!
	2164	!-- sa-tendency terms with communication
	2165	sbt = tsc(2)
	2166	IF ( scalar_advec == 'bc-scheme' ) THEN
	2167
	2168	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2169	!
	2170	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2171	sbt = 1.0_wp
	2172	ENDIF
	2173	tend = 0.0_wp
	2174	CALL advec_s_bc( sa, 'sa' )
	2175
	2176	ENDIF
	2177
	2178	!
	2179	!-- sa-tendency terms with no communication
	2180	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2181	tend = 0.0_wp
	2182	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2183	IF ( ws_scheme_sca ) THEN
	2184	CALL advec_s_ws( sa, 'sa' )
	2185	ELSE
	2186	CALL advec_s_pw( sa )
	2187	ENDIF
	2188	ELSE
	2189	CALL advec_s_up( sa )
	2190	ENDIF
	2191	ENDIF
	2192
	2193	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2194
	2195	CALL user_actions( 'sa-tendency' )
	2196
	2197	!
	2198	!-- Prognostic equation for salinity
	2199	DO i = i_left, i_right
	2200	DO j = j_south, j_north
	2201	DO k = nzb_s_inner(j,i)+1, nzt
	2202	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2203	tsc(3) * tsa_m(k,j,i) ) &
	2204	- tsc(5) * rdf_sc(k) * &
	2205	( sa(k,j,i) - sa_init(k) )
	2206	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	2207	!
	2208	!-- Tendencies for the next Runge-Kutta step
	2209	IF ( runge_step == 1 ) THEN
	2210	tsa_m(k,j,i) = tend(k,j,i)
	2211	ELSEIF ( runge_step == 2 ) THEN
	2212	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
	2213	ENDIF
	2214	ENDDO
	2215	ENDDO
	2216	ENDDO
	2217
	2218	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2219
	2220	!
	2221	!-- Calculate density by the equation of state for seawater
	2222	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2223	CALL eqn_state_seawater
	2224	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2225
	2226	ENDIF
	2227
	2228	!
	2229	!-- If required, compute prognostic equation for total water content / scalar
	2230	IF ( humidity .OR. passive_scalar ) THEN
	2231
	2232	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2233
	2234	!
	2235	!-- Scalar/q-tendency terms with communication
	2236	sbt = tsc(2)
	2237	IF ( scalar_advec == 'bc-scheme' ) THEN
	2238
	2239	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2240	!
	2241	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2242	sbt = 1.0_wp
	2243	ENDIF
	2244	tend = 0.0_wp
	2245	CALL advec_s_bc( q, 'q' )
	2246
	2247	ENDIF
	2248
	2249	!
	2250	!-- Scalar/q-tendency terms with no communication
	2251	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2252	tend = 0.0_wp
	2253	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2254	IF ( ws_scheme_sca ) THEN
	2255	CALL advec_s_ws( q, 'q' )
	2256	ELSE
	2257	CALL advec_s_pw( q )
	2258	ENDIF
	2259	ELSE
	2260	CALL advec_s_up( q )
	2261	ENDIF
	2262	ENDIF
	2263
	2264	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2265
	2266	!
	2267	!-- Sink or source of scalar concentration due to canopy elements
	2268	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	2269
	2270	!
	2271	!-- Large scale advection
	2272	IF ( large_scale_forcing ) THEN
	2273	CALL ls_advec( simulated_time, 'q' )
	2274	ENDIF
	2275
	2276	!
	2277	!-- Nudging
	2278	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2279
	2280	!
	2281	!-- If required compute influence of large-scale subsidence/ascent
	2282	IF ( large_scale_subsidence .AND. &
	2283	.NOT. use_subsidence_tendencies ) THEN
	2284	CALL subsidence( tend, q, q_init, 3 )
	2285	ENDIF
	2286
	2287	CALL user_actions( 'q-tendency' )
	2288
	2289	!
	2290	!-- Prognostic equation for total water content / scalar
	2291	DO i = i_left, i_right
	2292	DO j = j_south, j_north
	2293	DO k = nzb_s_inner(j,i)+1, nzt
	2294	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2295	tsc(3) * tq_m(k,j,i) ) &
	2296	- tsc(5) * rdf_sc(k) * &
	2297	( q(k,j,i) - q_init(k) )
	2298	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	2299	!
	2300	!-- Tendencies for the next Runge-Kutta step
	2301	IF ( runge_step == 1 ) THEN
	2302	tq_m(k,j,i) = tend(k,j,i)
	2303	ELSEIF ( runge_step == 2 ) THEN
	2304	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	2305	ENDIF
	2306	ENDDO
	2307	ENDDO
	2308	ENDDO
	2309
	2310	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2311
	2312	!
	2313	!-- If required, calculate prognostic equations for rain water content
	2314	!-- and rain drop concentration
	2315	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2316
	2317	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2318	!
	2319	!-- qr-tendency terms with communication
	2320	sbt = tsc(2)
	2321	IF ( scalar_advec == 'bc-scheme' ) THEN
	2322
	2323	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2324	!
	2325	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2326	sbt = 1.0_wp
	2327	ENDIF
	2328	tend = 0.0_wp
	2329	CALL advec_s_bc( qr, 'qr' )
	2330
	2331	ENDIF
	2332
	2333	!
	2334	!-- qr-tendency terms with no communication
	2335	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2336	tend = 0.0_wp
	2337	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2338	IF ( ws_scheme_sca ) THEN
	2339	CALL advec_s_ws( qr, 'qr' )
	2340	ELSE
	2341	CALL advec_s_pw( qr )
	2342	ENDIF
	2343	ELSE
	2344	CALL advec_s_up( qr )
	2345	ENDIF
	2346	ENDIF
	2347
	2348	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2349
	2350	!
	2351	!-- Prognostic equation for rain water content
	2352	DO i = i_left, i_right
	2353	DO j = j_south, j_north
	2354	DO k = nzb_s_inner(j,i)+1, nzt
	2355	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2356	tsc(3) * tqr_m(k,j,i) ) &
	2357	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2358	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2359	!
	2360	!-- Tendencies for the next Runge-Kutta step
	2361	IF ( runge_step == 1 ) THEN
	2362	tqr_m(k,j,i) = tend(k,j,i)
	2363	ELSEIF ( runge_step == 2 ) THEN
	2364	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2365	tqr_m(k,j,i)
	2366	ENDIF
	2367	ENDDO
	2368	ENDDO
	2369	ENDDO
	2370
	2371	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2372	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2373
	2374	!
	2375	!-- nr-tendency terms with communication
	2376	sbt = tsc(2)
	2377	IF ( scalar_advec == 'bc-scheme' ) THEN
	2378
	2379	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2380	!
	2381	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2382	sbt = 1.0_wp
	2383	ENDIF
	2384	tend = 0.0_wp
	2385	CALL advec_s_bc( nr, 'nr' )
	2386
	2387	ENDIF
	2388
	2389	!
	2390	!-- nr-tendency terms with no communication
	2391	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2392	tend = 0.0_wp
	2393	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2394	IF ( ws_scheme_sca ) THEN
	2395	CALL advec_s_ws( nr, 'nr' )
	2396	ELSE
	2397	CALL advec_s_pw( nr )
	2398	ENDIF
	2399	ELSE
	2400	CALL advec_s_up( nr )
	2401	ENDIF
	2402	ENDIF
	2403
	2404	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2405
	2406	!
	2407	!-- Prognostic equation for rain drop concentration
	2408	DO i = i_left, i_right
	2409	DO j = j_south, j_north
	2410	DO k = nzb_s_inner(j,i)+1, nzt
	2411	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2412	tsc(3) * tnr_m(k,j,i) ) &
	2413	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2414	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2415	!
	2416	!-- Tendencies for the next Runge-Kutta step
	2417	IF ( runge_step == 1 ) THEN
	2418	tnr_m(k,j,i) = tend(k,j,i)
	2419	ELSEIF ( runge_step == 2 ) THEN
	2420	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2421	tnr_m(k,j,i)
	2422	ENDIF
	2423	ENDDO
	2424	ENDDO
	2425	ENDDO
	2426
	2427	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2428
	2429	ENDIF
	2430
	2431	ENDIF
	2432
	2433	!
	2434	!-- If required, compute prognostic equation for turbulent kinetic
	2435	!-- energy (TKE)
	2436	IF ( .NOT. constant_diffusion ) THEN
	2437
	2438	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2439
	2440	sbt = tsc(2)
	2441	IF ( .NOT. use_upstream_for_tke ) THEN
	2442	IF ( scalar_advec == 'bc-scheme' ) THEN
	2443
	2444	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2445	!
	2446	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2447	sbt = 1.0_wp
	2448	ENDIF
	2449	tend = 0.0_wp
	2450	CALL advec_s_bc( e, 'e' )
	2451
	2452	ENDIF
	2453	ENDIF
	2454
	2455	!
	2456	!-- TKE-tendency terms with no communication
	2457	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2458	IF ( use_upstream_for_tke ) THEN
	2459	tend = 0.0_wp
	2460	CALL advec_s_up( e )
	2461	ELSE
	2462	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2463	IF ( ws_scheme_sca ) THEN
	2464	CALL advec_s_ws_acc( e, 'e' )
	2465	ELSE
	2466	tend = 0.0_wp ! to be removed later??
	2467	CALL advec_s_pw( e )
	2468	ENDIF
	2469	ELSE
	2470	tend = 0.0_wp ! to be removed later??
	2471	CALL advec_s_up( e )
	2472	ENDIF
	2473	ENDIF
	2474	ENDIF
	2475
	2476	IF ( .NOT. humidity ) THEN
	2477	IF ( ocean ) THEN
	2478	CALL diffusion_e( prho, prho_reference )
	2479	ELSE
	2480	CALL diffusion_e_acc( pt, pt_reference )
	2481	ENDIF
	2482	ELSE
	2483	CALL diffusion_e( vpt, pt_reference )
	2484	ENDIF
	2485
	2486	CALL production_e_acc
	2487
	2488	!
	2489	!-- Additional sink term for flows through plant canopies
	2490	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	2491	CALL user_actions( 'e-tendency' )
	2492
	2493	!
	2494	!-- Prognostic equation for TKE.
	2495	!-- Eliminate negative TKE values, which can occur due to numerical
	2496	!-- reasons in the course of the integration. In such cases the old TKE
	2497	!-- value is reduced by 90%.
	2498	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
	2499	!$acc loop independent
	2500	DO i = i_left, i_right
	2501	!$acc loop independent
	2502	DO j = j_south, j_north
	2503	!$acc loop independent
	2504	DO k = 1, nzt
	2505	IF ( k > nzb_s_inner(j,i) ) THEN
	2506	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2507	tsc(3) * te_m(k,j,i) )
	2508	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	2509	!
	2510	!-- Tendencies for the next Runge-Kutta step
	2511	IF ( runge_step == 1 ) THEN
	2512	te_m(k,j,i) = tend(k,j,i)
	2513	ELSEIF ( runge_step == 2 ) THEN
	2514	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	2515	ENDIF
	2516	ENDIF
	2517	ENDDO
	2518	ENDDO
	2519	ENDDO
	2520	!$acc end kernels
	2521
	2522	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2523
	2524	ENDIF
	2525
	2526	END SUBROUTINE prognostic_equations_acc
	2527
	2528
	2529	END MODULE prognostic_equations_mod

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