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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1747

Last change on this file since 1747 was 1692, checked in by maronga, 9 years ago
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[1691]	1	!> @file prognostic_equations.f90
[1036]	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	!
[1691]	16	! Copyright 1997-2015 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[736]	19	! Current revisions:
[1092]	20	! ------------------
[1692]	21	!
	22	!
[1485]	23	! Former revisions:
	24	! -----------------
	25	! $Id: prognostic_equations.f90 1692 2015-10-26 16:29:17Z raasch $
	26	!
[1692]	27	! 1691 2015-10-26 16:17:44Z maronga
	28	! Added optional model spin-up without radiation / land surface model calls.
	29	! Formatting corrections.
	30	!
[1691]	31	! 1682 2015-10-07 23:56:08Z knoop
	32	! Code annotations made doxygen readable
	33	!
	34	! 1585 2015-04-30 07:05:52Z maronga
[1586]	35	! Added call for temperature tendency calculation due to radiative flux divergence
	36	!
[1518]	37	! 1517 2015-01-07 19:12:25Z hoffmann
	38	! advec_s_bc_mod addded, since advec_s_bc is now a module
	39	!
[1517]	40	! 1496 2014-12-02 17:25:50Z maronga
[1497]	41	! Renamed "radiation" -> "cloud_top_radiation"
	42	!
[1496]	43	! 1484 2014-10-21 10:53:05Z kanani
[1484]	44	! Changes due to new module structure of the plant canopy model:
	45	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	46	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	47	! control_parameters
	48	!
	49	! 1409 2014-05-23 12:11:32Z suehring
[1409]	50	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
	51	! This ensures that left-hand side fluxes are also calculated for nxl in that
	52	! case, even though the solution at nxl is overwritten in boundary_conds()
	53	!
	54	! 1398 2014-05-07 11:15:00Z heinze
[1398]	55	! Rayleigh-damping for horizontal velocity components changed: instead of damping
	56	! against ug and vg, damping against u_init and v_init is used to allow for a
	57	! homogenized treatment in case of nudging
	58	!
	59	! 1380 2014-04-28 12:40:45Z heinze
[1381]	60	! Change order of calls for scalar prognostic quantities:
	61	! ls_advec -> nudging -> subsidence since initial profiles
	62	!
[1380]	63	! 1374 2014-04-25 12:55:07Z raasch
	64	! missing variables added to ONLY lists
	65	!
	66	! 1365 2014-04-22 15:03:56Z boeske
[1365]	67	! Calls of ls_advec for large scale advection added,
	68	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	69	! new argument ls_index added to the calls of subsidence
	70	! +ls_index
	71	!
	72	! 1361 2014-04-16 15:17:48Z hoffmann
[1361]	73	! Two-moment microphysics moved to the start of prognostic equations. This makes
	74	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	75	! Additionally, it is allowed to call the microphysics just once during the time
	76	! step (not at each sub-time step).
	77	!
	78	! Two-moment cloud physics added for vector and accelerator optimization.
	79	!
	80	! 1353 2014-04-08 15:21:23Z heinze
[1354]	81	! REAL constants provided with KIND-attribute
	82	!
[1353]	83	! 1337 2014-03-25 15:11:48Z heinze
	84	! Bugfix: REAL constants provided with KIND-attribute
	85	!
	86	! 1332 2014-03-25 11:59:43Z suehring
[1333]	87	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	88	!
[1332]	89	! 1330 2014-03-24 17:29:32Z suehring
[1331]	90	! In case of SGS-particle velocity advection of TKE is also allowed with
	91	! dissipative 5th-order scheme.
	92	!
[1321]	93	! 1320 2014-03-20 08:40:49Z raasch
[1320]	94	! ONLY-attribute added to USE-statements,
	95	! kind-parameters added to all INTEGER and REAL declaration statements,
	96	! kinds are defined in new module kinds,
	97	! old module precision_kind is removed,
	98	! revision history before 2012 removed,
	99	! comment fields (!:) to be used for variable explanations added to
	100	! all variable declaration statements
[1054]	101	!
[1319]	102	! 1318 2014-03-17 13:35:16Z raasch
	103	! module interfaces removed
	104	!
[1258]	105	! 1257 2013-11-08 15:18:40Z raasch
	106	! openacc loop vector clauses removed, independent clauses added
	107	!
[1247]	108	! 1246 2013-11-01 08:59:45Z heinze
	109	! enable nudging also for accelerator version
	110	!
[1242]	111	! 1241 2013-10-30 11:36:58Z heinze
	112	! usage of nudging enabled (so far not implemented for accelerator version)
	113	!
[1182]	114	! 1179 2013-06-14 05:57:58Z raasch
	115	! two arguments removed from routine buoyancy, ref_state updated on device
	116	!
[1132]	117	! 1128 2013-04-12 06:19:32Z raasch
	118	! those parts requiring global communication moved to time_integration,
	119	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	120	! j_north
	121	!
[1116]	122	! 1115 2013-03-26 18:16:16Z hoffmann
	123	! optimized cloud physics: calculation of microphysical tendencies transfered
	124	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	125	!
[1112]	126	! 1111 2013-03-08 23:54:10Z raasch
	127	! update directives for prognostic quantities removed
	128	!
[1107]	129	! 1106 2013-03-04 05:31:38Z raasch
	130	! small changes in code formatting
	131	!
[1093]	132	! 1092 2013-02-02 11:24:22Z raasch
	133	! unused variables removed
	134	!
[1054]	135	! 1053 2012-11-13 17:11:03Z hoffmann
[1053]	136	! implementation of two new prognostic equations for rain drop concentration (nr)
	137	! and rain water content (qr)
[979]	138	!
[1053]	139	! currently, only available for cache loop optimization
[1020]	140	!
[1037]	141	! 1036 2012-10-22 13:43:42Z raasch
	142	! code put under GPL (PALM 3.9)
	143	!
[1020]	144	! 1019 2012-09-28 06:46:45Z raasch
	145	! non-optimized version of prognostic_equations removed
	146	!
[1017]	147	! 1015 2012-09-27 09:23:24Z raasch
	148	! new branch prognostic_equations_acc
	149	! OpenACC statements added + code changes required for GPU optimization
	150	!
[1002]	151	! 1001 2012-09-13 14:08:46Z raasch
	152	! all actions concerning leapfrog- and upstream-spline-scheme removed
	153	!
[979]	154	! 978 2012-08-09 08:28:32Z fricke
[978]	155	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	156	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	157	! boundary in case of non-cyclic lateral boundaries
	158	! Bugfix: first thread index changes for WS-scheme at the inflow
[736]	159	!
[941]	160	! 940 2012-07-09 14:31:00Z raasch
	161	! temperature equation can be switched off
	162	!
[736]	163	! Revision 1.1 2000/04/13 14:56:27 schroeter
	164	! Initial revision
	165	!
	166	!
	167	! Description:
	168	! ------------
[1682]	169	!> Solving the prognostic equations.
[736]	170	!------------------------------------------------------------------------------!
[1682]	171	MODULE prognostic_equations_mod
[736]	172
[1691]	173
[1682]	174
[1320]	175	USE arrays_3d, &
	176	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	177	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	178	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	179	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	180	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	181	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
[1374]	182	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	183	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	184	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
[1398]	185	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
[1320]	186
	187	USE control_parameters, &
[1361]	188	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
[1496]	189	cloud_top_radiation, constant_diffusion, dp_external, &
[1320]	190	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	191	icloud_scheme, inflow_l, intermediate_timestep_count, &
[1365]	192	intermediate_timestep_count_max, large_scale_forcing, &
	193	large_scale_subsidence, neutral, nudging, ocean, outflow_l, &
[1484]	194	outflow_s, passive_scalar, precipitation, &
[1365]	195	prho_reference, prho_reference, prho_reference, pt_reference, &
[1496]	196	pt_reference, pt_reference, scalar_advec, scalar_advec, &
	197	simulated_time, sloping_surface, &
	198	timestep_scheme, tsc, use_subsidence_tendencies, &
	199	use_upstream_for_tke, wall_heatflux, &
[1320]	200	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	201	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
[736]	202
[1320]	203	USE cpulog, &
	204	ONLY: cpu_log, log_point
[736]	205
[1320]	206	USE eqn_state_seawater_mod, &
	207	ONLY: eqn_state_seawater
	208
	209	USE indices, &
	210	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	211	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	212
	213	USE advec_ws, &
	214	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	215	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	216
[1517]	217	USE advec_s_bc_mod, &
	218	ONLY: advec_s_bc
	219
[1320]	220	USE advec_s_pw_mod, &
	221	ONLY: advec_s_pw
	222
	223	USE advec_s_up_mod, &
	224	ONLY: advec_s_up
	225
	226	USE advec_u_pw_mod, &
	227	ONLY: advec_u_pw
	228
	229	USE advec_u_up_mod, &
	230	ONLY: advec_u_up
	231
	232	USE advec_v_pw_mod, &
	233	ONLY: advec_v_pw
	234
	235	USE advec_v_up_mod, &
	236	ONLY: advec_v_up
	237
	238	USE advec_w_pw_mod, &
	239	ONLY: advec_w_pw
	240
	241	USE advec_w_up_mod, &
	242	ONLY: advec_w_up
	243
	244	USE buoyancy_mod, &
	245	ONLY: buoyancy, buoyancy_acc
	246
	247	USE calc_precipitation_mod, &
	248	ONLY: calc_precipitation
	249
	250	USE calc_radiation_mod, &
	251	ONLY: calc_radiation
	252
	253	USE coriolis_mod, &
	254	ONLY: coriolis, coriolis_acc
	255
	256	USE diffusion_e_mod, &
	257	ONLY: diffusion_e, diffusion_e_acc
	258
	259	USE diffusion_s_mod, &
	260	ONLY: diffusion_s, diffusion_s_acc
	261
	262	USE diffusion_u_mod, &
	263	ONLY: diffusion_u, diffusion_u_acc
	264
	265	USE diffusion_v_mod, &
	266	ONLY: diffusion_v, diffusion_v_acc
	267
	268	USE diffusion_w_mod, &
	269	ONLY: diffusion_w, diffusion_w_acc
	270
	271	USE impact_of_latent_heat_mod, &
	272	ONLY: impact_of_latent_heat
	273
	274	USE kinds
	275
[1365]	276	USE ls_forcing_mod, &
	277	ONLY: ls_advec
	278
[1320]	279	USE microphysics_mod, &
	280	ONLY: microphysics_control
	281
	282	USE nudge_mod, &
	283	ONLY: nudge
	284
	285	USE plant_canopy_model_mod, &
[1484]	286	ONLY: cthf, plant_canopy, plant_canopy_model
[1320]	287
	288	USE production_e_mod, &
	289	ONLY: production_e, production_e_acc
	290
[1585]	291	USE radiation_model_mod, &
[1691]	292	ONLY: radiation, radiation_scheme, radiation_tendency, &
	293	skip_time_do_radiation
[1585]	294
[1374]	295	USE statistics, &
	296	ONLY: hom
	297
[1320]	298	USE subsidence_mod, &
	299	ONLY: subsidence
	300
	301	USE user_actions_mod, &
	302	ONLY: user_actions
	303
	304
[736]	305	PRIVATE
[1019]	306	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	307	prognostic_equations_acc
[736]	308
	309	INTERFACE prognostic_equations_cache
	310	MODULE PROCEDURE prognostic_equations_cache
	311	END INTERFACE prognostic_equations_cache
	312
	313	INTERFACE prognostic_equations_vector
	314	MODULE PROCEDURE prognostic_equations_vector
	315	END INTERFACE prognostic_equations_vector
	316
[1015]	317	INTERFACE prognostic_equations_acc
	318	MODULE PROCEDURE prognostic_equations_acc
	319	END INTERFACE prognostic_equations_acc
[736]	320
[1015]	321
[736]	322	CONTAINS
	323
	324
	325	!------------------------------------------------------------------------------!
[1691]	326	! Description:
	327	! ------------
[1682]	328	!> Version with one optimized loop over all equations. It is only allowed to
	329	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	330	!>
	331	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	332	!> so communication between CPUs is not allowed (does not make sense) within
	333	!> these loops.
	334	!>
	335	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
[736]	336	!------------------------------------------------------------------------------!
[1691]	337
[1682]	338	SUBROUTINE prognostic_equations_cache
[736]	339
[1682]	340
[736]	341	IMPLICIT NONE
	342
[1682]	343	INTEGER(iwp) :: i !<
	344	INTEGER(iwp) :: i_omp_start !<
	345	INTEGER(iwp) :: j !<
	346	INTEGER(iwp) :: k !<
	347	INTEGER(iwp) :: omp_get_thread_num !<
	348	INTEGER(iwp) :: tn = 0 !<
[1320]	349
[1682]	350	LOGICAL :: loop_start !<
[736]	351
	352
	353	!
	354	!-- Time measurement can only be performed for the whole set of equations
	355	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	356
	357	!
	358	!-- Loop over all prognostic equations
	359	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	360
	361	!$ tn = omp_get_thread_num()
	362	loop_start = .TRUE.
	363	!$OMP DO
	364	DO i = nxl, nxr
	365
	366	!
	367	!-- Store the first loop index. It differs for each thread and is required
	368	!-- later in advec_ws
	369	IF ( loop_start ) THEN
	370	loop_start = .FALSE.
	371	i_omp_start = i
	372	ENDIF
[1365]	373
[736]	374	DO j = nys, nyn
	375	!
[1361]	376	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	377	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	378	( intermediate_timestep_count == 1 .OR. &
	379	call_microphysics_at_all_substeps ) &
	380	) THEN
	381	CALL microphysics_control( i, j )
	382	ENDIF
	383	!
[736]	384	!-- Tendency terms for u-velocity component
	385	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	386
[1337]	387	tend(:,j,i) = 0.0_wp
[1001]	388	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	389	IF ( ws_scheme_mom ) THEN
[1409]	390	CALL advec_u_ws( i, j, i_omp_start, tn )
[736]	391	ELSE
	392	CALL advec_u_pw( i, j )
	393	ENDIF
	394	ELSE
	395	CALL advec_u_up( i, j )
	396	ENDIF
[1001]	397	CALL diffusion_u( i, j )
[736]	398	CALL coriolis( i, j, 1 )
[940]	399	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	400	CALL buoyancy( i, j, pt, 1 )
[940]	401	ENDIF
[736]	402
	403	!
	404	!-- Drag by plant canopy
	405	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 1 )
	406
	407	!
	408	!-- External pressure gradient
	409	IF ( dp_external ) THEN
	410	DO k = dp_level_ind_b+1, nzt
	411	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	412	ENDDO
	413	ENDIF
	414
[1241]	415	!
	416	!-- Nudging
[1691]	417	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
[1241]	418
[736]	419	CALL user_actions( i, j, 'u-tendency' )
	420	!
	421	!-- Prognostic equation for u-velocity component
	422	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	423	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	424	tsc(3) * tu_m(k,j,i) ) &
[1398]	425	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[736]	426	ENDDO
	427
	428	!
	429	!-- Calculate tendencies for the next Runge-Kutta step
	430	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	431	IF ( intermediate_timestep_count == 1 ) THEN
	432	DO k = nzb_u_inner(j,i)+1, nzt
	433	tu_m(k,j,i) = tend(k,j,i)
	434	ENDDO
	435	ELSEIF ( intermediate_timestep_count < &
	436	intermediate_timestep_count_max ) THEN
	437	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	438	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	439	ENDDO
	440	ENDIF
	441	ENDIF
	442
	443	ENDIF
	444
	445	!
	446	!-- Tendency terms for v-velocity component
	447	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	448
[1337]	449	tend(:,j,i) = 0.0_wp
[1001]	450	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	451	IF ( ws_scheme_mom ) THEN
	452	CALL advec_v_ws( i, j, i_omp_start, tn )
	453	ELSE
	454	CALL advec_v_pw( i, j )
	455	ENDIF
	456	ELSE
	457	CALL advec_v_up( i, j )
	458	ENDIF
[1001]	459	CALL diffusion_v( i, j )
[736]	460	CALL coriolis( i, j, 2 )
	461
	462	!
	463	!-- Drag by plant canopy
	464	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 2 )
	465
	466	!
	467	!-- External pressure gradient
	468	IF ( dp_external ) THEN
	469	DO k = dp_level_ind_b+1, nzt
	470	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	471	ENDDO
	472	ENDIF
	473
[1241]	474	!
	475	!-- Nudging
[1691]	476	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
[1241]	477
[736]	478	CALL user_actions( i, j, 'v-tendency' )
	479	!
	480	!-- Prognostic equation for v-velocity component
	481	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	482	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	483	tsc(3) * tv_m(k,j,i) ) &
[1398]	484	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[736]	485	ENDDO
	486
	487	!
	488	!-- Calculate tendencies for the next Runge-Kutta step
	489	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	490	IF ( intermediate_timestep_count == 1 ) THEN
	491	DO k = nzb_v_inner(j,i)+1, nzt
	492	tv_m(k,j,i) = tend(k,j,i)
	493	ENDDO
	494	ELSEIF ( intermediate_timestep_count < &
	495	intermediate_timestep_count_max ) THEN
	496	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	497	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	498	ENDDO
	499	ENDIF
	500	ENDIF
	501
	502	ENDIF
	503
	504	!
	505	!-- Tendency terms for w-velocity component
[1337]	506	tend(:,j,i) = 0.0_wp
[1001]	507	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	508	IF ( ws_scheme_mom ) THEN
	509	CALL advec_w_ws( i, j, i_omp_start, tn )
	510	ELSE
	511	CALL advec_w_pw( i, j )
	512	END IF
	513	ELSE
	514	CALL advec_w_up( i, j )
	515	ENDIF
[1001]	516	CALL diffusion_w( i, j )
[736]	517	CALL coriolis( i, j, 3 )
[940]	518
	519	IF ( .NOT. neutral ) THEN
	520	IF ( ocean ) THEN
[1179]	521	CALL buoyancy( i, j, rho, 3 )
[736]	522	ELSE
[940]	523	IF ( .NOT. humidity ) THEN
[1179]	524	CALL buoyancy( i, j, pt, 3 )
[940]	525	ELSE
[1179]	526	CALL buoyancy( i, j, vpt, 3 )
[940]	527	ENDIF
[736]	528	ENDIF
	529	ENDIF
	530
	531	!
	532	!-- Drag by plant canopy
	533	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 3 )
	534
	535	CALL user_actions( i, j, 'w-tendency' )
	536
	537	!
	538	!-- Prognostic equation for w-velocity component
	539	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	540	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	541	tsc(3) * tw_m(k,j,i) ) &
	542	- tsc(5) * rdf(k) * w(k,j,i)
[736]	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_w_inner(j,i)+1, nzt-1
	550	tw_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_w_inner(j,i)+1, nzt-1
[1337]	555	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	556	ENDDO
	557	ENDIF
	558	ENDIF
[1361]	559
[736]	560	!
[940]	561	!-- If required, compute prognostic equation for potential temperature
	562	IF ( .NOT. neutral ) THEN
	563	!
	564	!-- Tendency terms for potential temperature
[1337]	565	tend(:,j,i) = 0.0_wp
[1001]	566	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	567	IF ( ws_scheme_sca ) THEN
	568	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	569	flux_l_pt, diss_l_pt, i_omp_start, tn )
	570	ELSE
	571	CALL advec_s_pw( i, j, pt )
	572	ENDIF
	573	ELSE
	574	CALL advec_s_up( i, j, pt )
	575	ENDIF
[1001]	576	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
[736]	577
	578	!
[940]	579	!-- If required compute heating/cooling due to long wave radiation
	580	!-- processes
[1496]	581	IF ( cloud_top_radiation ) THEN
[940]	582	CALL calc_radiation( i, j )
	583	ENDIF
[736]	584
[1106]	585	!
[1361]	586	!-- If required compute impact of latent heat due to precipitation
	587	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	588	precipitation ) THEN
	589	CALL impact_of_latent_heat( i, j )
[940]	590	ENDIF
[736]	591
	592	!
[940]	593	!-- Consideration of heat sources within the plant canopy
[1337]	594	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
[940]	595	CALL plant_canopy_model( i, j, 4 )
	596	ENDIF
[736]	597
[940]	598	!
[1365]	599	!-- Large scale advection
	600	IF ( large_scale_forcing ) THEN
	601	CALL ls_advec( i, j, simulated_time, 'pt' )
	602	ENDIF
	603
	604	!
[1380]	605	!-- Nudging
	606	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	607
	608	!
[1106]	609	!-- If required, compute effect of large-scale subsidence/ascent
[1365]	610	IF ( large_scale_subsidence .AND. &
	611	.NOT. use_subsidence_tendencies ) THEN
	612	CALL subsidence( i, j, tend, pt, pt_init, 2 )
[940]	613	ENDIF
[736]	614
[1585]	615	!
	616	!-- If required, add tendency due to radiative heating/cooling
[1691]	617	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	618	simulated_time > skip_time_do_radiation ) THEN
[1585]	619	CALL radiation_tendency ( i, j, tend )
	620	ENDIF
	621
	622
[940]	623	CALL user_actions( i, j, 'pt-tendency' )
[736]	624
	625	!
[940]	626	!-- Prognostic equation for potential temperature
	627	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	628	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	629	tsc(3) * tpt_m(k,j,i) ) &
	630	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	631	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	632	ENDDO
[736]	633
	634	!
[940]	635	!-- Calculate tendencies for the next Runge-Kutta step
	636	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	637	IF ( intermediate_timestep_count == 1 ) THEN
	638	DO k = nzb_s_inner(j,i)+1, nzt
	639	tpt_m(k,j,i) = tend(k,j,i)
	640	ENDDO
	641	ELSEIF ( intermediate_timestep_count < &
	642	intermediate_timestep_count_max ) THEN
	643	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	644	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	645	5.3125_wp * tpt_m(k,j,i)
[940]	646	ENDDO
	647	ENDIF
[736]	648	ENDIF
[940]	649
[736]	650	ENDIF
	651
	652	!
	653	!-- If required, compute prognostic equation for salinity
	654	IF ( ocean ) THEN
	655
	656	!
	657	!-- Tendency-terms for salinity
[1337]	658	tend(:,j,i) = 0.0_wp
[1001]	659	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	660	THEN
	661	IF ( ws_scheme_sca ) THEN
	662	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	663	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	664	ELSE
	665	CALL advec_s_pw( i, j, sa )
	666	ENDIF
	667	ELSE
	668	CALL advec_s_up( i, j, sa )
	669	ENDIF
[1001]	670	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
[736]	671
	672	CALL user_actions( i, j, 'sa-tendency' )
	673
	674	!
	675	!-- Prognostic equation for salinity
	676	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	677	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	678	tsc(3) * tsa_m(k,j,i) ) &
	679	- tsc(5) * rdf_sc(k) * &
	680	( sa(k,j,i) - sa_init(k) )
[1337]	681	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	682	ENDDO
	683
	684	!
	685	!-- Calculate tendencies for the next Runge-Kutta step
	686	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	687	IF ( intermediate_timestep_count == 1 ) THEN
	688	DO k = nzb_s_inner(j,i)+1, nzt
	689	tsa_m(k,j,i) = tend(k,j,i)
	690	ENDDO
	691	ELSEIF ( intermediate_timestep_count < &
	692	intermediate_timestep_count_max ) THEN
	693	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	694	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	695	5.3125_wp * tsa_m(k,j,i)
[736]	696	ENDDO
	697	ENDIF
	698	ENDIF
	699
	700	!
	701	!-- Calculate density by the equation of state for seawater
	702	CALL eqn_state_seawater( i, j )
	703
	704	ENDIF
	705
	706	!
	707	!-- If required, compute prognostic equation for total water content /
	708	!-- scalar
	709	IF ( humidity .OR. passive_scalar ) THEN
	710
	711	!
	712	!-- Tendency-terms for total water content / scalar
[1337]	713	tend(:,j,i) = 0.0_wp
[1001]	714	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	715	THEN
	716	IF ( ws_scheme_sca ) THEN
	717	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	718	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	719	ELSE
	720	CALL advec_s_pw( i, j, q )
	721	ENDIF
	722	ELSE
	723	CALL advec_s_up( i, j, q )
	724	ENDIF
[1001]	725	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
[1691]	726
[736]	727	!
[1361]	728	!-- If required compute decrease of total water content due to
	729	!-- precipitation
	730	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	731	precipitation ) THEN
[1691]	732	CALL calc_precipitation( i, j )
[736]	733	ENDIF
[1691]	734
[736]	735	!
	736	!-- Sink or source of scalar concentration due to canopy elements
[1106]	737	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 5 )
[736]	738
[1053]	739	!
[1365]	740	!-- Large scale advection
	741	IF ( large_scale_forcing ) THEN
	742	CALL ls_advec( i, j, simulated_time, 'q' )
	743	ENDIF
	744
	745	!
[1380]	746	!-- Nudging
	747	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	748
	749	!
[736]	750	!-- If required compute influence of large-scale subsidence/ascent
[1365]	751	IF ( large_scale_subsidence .AND. &
	752	.NOT. use_subsidence_tendencies ) THEN
	753	CALL subsidence( i, j, tend, q, q_init, 3 )
[736]	754	ENDIF
	755
	756	CALL user_actions( i, j, 'q-tendency' )
	757
	758	!
	759	!-- Prognostic equation for total water content / scalar
	760	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	761	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	762	tsc(3) * tq_m(k,j,i) ) &
	763	- tsc(5) * rdf_sc(k) * &
	764	( q(k,j,i) - q_init(k) )
[1337]	765	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	766	ENDDO
	767
	768	!
	769	!-- Calculate tendencies for the next Runge-Kutta step
	770	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	771	IF ( intermediate_timestep_count == 1 ) THEN
	772	DO k = nzb_s_inner(j,i)+1, nzt
	773	tq_m(k,j,i) = tend(k,j,i)
	774	ENDDO
	775	ELSEIF ( intermediate_timestep_count < &
	776	intermediate_timestep_count_max ) THEN
	777	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	778	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	779	5.3125_wp * tq_m(k,j,i)
[736]	780	ENDDO
	781	ENDIF
	782	ENDIF
	783
[1053]	784	!
	785	!-- If required, calculate prognostic equations for rain water content
	786	!-- and rain drop concentration
[1115]	787	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	788	precipitation ) THEN
[1053]	789	!
	790	!-- Calculate prognostic equation for rain water content
[1337]	791	tend(:,j,i) = 0.0_wp
[1053]	792	IF ( timestep_scheme(1:5) == 'runge' ) &
	793	THEN
	794	IF ( ws_scheme_sca ) THEN
	795	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	796	diss_s_qr, flux_l_qr, diss_l_qr, &
	797	i_omp_start, tn )
	798	ELSE
	799	CALL advec_s_pw( i, j, qr )
	800	ENDIF
	801	ELSE
	802	CALL advec_s_up( i, j, qr )
	803	ENDIF
	804	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	805
[1115]	806	CALL user_actions( i, j, 'qr-tendency' )
[1053]	807	!
	808	!-- Prognostic equation for rain water content
	809	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	810	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	811	tsc(3) * tqr_m(k,j,i) ) &
	812	- tsc(5) * rdf_sc(k) * qr(k,j,i)
[1337]	813	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
[1053]	814	ENDDO
	815	!
	816	!-- Calculate tendencies for the next Runge-Kutta step
	817	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	818	IF ( intermediate_timestep_count == 1 ) THEN
	819	DO k = nzb_s_inner(j,i)+1, nzt
	820	tqr_m(k,j,i) = tend(k,j,i)
	821	ENDDO
	822	ELSEIF ( intermediate_timestep_count < &
	823	intermediate_timestep_count_max ) THEN
	824	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	825	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	826	5.3125_wp * tqr_m(k,j,i)
[1053]	827	ENDDO
	828	ENDIF
	829	ENDIF
	830
	831	!
	832	!-- Calculate prognostic equation for rain drop concentration.
[1337]	833	tend(:,j,i) = 0.0_wp
[1053]	834	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	835	IF ( ws_scheme_sca ) THEN
[1115]	836	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	837	diss_s_nr, flux_l_nr, diss_l_nr, &
	838	i_omp_start, tn )
[1053]	839	ELSE
	840	CALL advec_s_pw( i, j, nr )
	841	ENDIF
	842	ELSE
	843	CALL advec_s_up( i, j, nr )
	844	ENDIF
	845	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	846
[1115]	847	CALL user_actions( i, j, 'nr-tendency' )
[1053]	848	!
	849	!-- Prognostic equation for rain drop concentration
	850	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	851	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	852	tsc(3) * tnr_m(k,j,i) ) &
	853	- tsc(5) * rdf_sc(k) * nr(k,j,i)
[1337]	854	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
[1053]	855	ENDDO
	856	!
	857	!-- Calculate tendencies for the next Runge-Kutta step
	858	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	859	IF ( intermediate_timestep_count == 1 ) THEN
	860	DO k = nzb_s_inner(j,i)+1, nzt
	861	tnr_m(k,j,i) = tend(k,j,i)
	862	ENDDO
	863	ELSEIF ( intermediate_timestep_count < &
	864	intermediate_timestep_count_max ) THEN
	865	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	866	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	867	5.3125_wp * tnr_m(k,j,i)
[1053]	868	ENDDO
	869	ENDIF
	870	ENDIF
	871
	872	ENDIF
	873
[1128]	874	ENDIF
	875
[736]	876	!
	877	!-- If required, compute prognostic equation for turbulent kinetic
	878	!-- energy (TKE)
	879	IF ( .NOT. constant_diffusion ) THEN
	880
	881	!
	882	!-- Tendency-terms for TKE
[1337]	883	tend(:,j,i) = 0.0_wp
[1332]	884	IF ( timestep_scheme(1:5) == 'runge' &
	885	.AND. .NOT. use_upstream_for_tke ) THEN
[736]	886	IF ( ws_scheme_sca ) THEN
[1001]	887	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	888	flux_l_e, diss_l_e , i_omp_start, tn )
[736]	889	ELSE
	890	CALL advec_s_pw( i, j, e )
	891	ENDIF
	892	ELSE
	893	CALL advec_s_up( i, j, e )
	894	ENDIF
[1001]	895	IF ( .NOT. humidity ) THEN
	896	IF ( ocean ) THEN
	897	CALL diffusion_e( i, j, prho, prho_reference )
[736]	898	ELSE
[1001]	899	CALL diffusion_e( i, j, pt, pt_reference )
[736]	900	ENDIF
	901	ELSE
[1001]	902	CALL diffusion_e( i, j, vpt, pt_reference )
[736]	903	ENDIF
	904	CALL production_e( i, j )
	905
	906	!
	907	!-- Additional sink term for flows through plant canopies
	908	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 6 )
	909
	910	CALL user_actions( i, j, 'e-tendency' )
	911
	912	!
	913	!-- Prognostic equation for TKE.
	914	!-- Eliminate negative TKE values, which can occur due to numerical
	915	!-- reasons in the course of the integration. In such cases the old
	916	!-- TKE value is reduced by 90%.
	917	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	918	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	919	tsc(3) * te_m(k,j,i) )
[1337]	920	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	921	ENDDO
	922
	923	!
	924	!-- Calculate tendencies for the next Runge-Kutta step
	925	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	926	IF ( intermediate_timestep_count == 1 ) THEN
	927	DO k = nzb_s_inner(j,i)+1, nzt
	928	te_m(k,j,i) = tend(k,j,i)
	929	ENDDO
	930	ELSEIF ( intermediate_timestep_count < &
	931	intermediate_timestep_count_max ) THEN
	932	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	933	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	934	5.3125_wp * te_m(k,j,i)
[736]	935	ENDDO
	936	ENDIF
	937	ENDIF
	938
	939	ENDIF ! TKE equation
	940
	941	ENDDO
	942	ENDDO
	943	!$OMP END PARALLEL
	944
	945	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	946
	947
	948	END SUBROUTINE prognostic_equations_cache
	949
	950
	951	!------------------------------------------------------------------------------!
[1691]	952	! Description:
	953	! ------------
[1682]	954	!> Version for vector machines
[736]	955	!------------------------------------------------------------------------------!
[1691]	956
[1682]	957	SUBROUTINE prognostic_equations_vector
[736]	958
[1682]	959
[736]	960	IMPLICIT NONE
	961
[1682]	962	INTEGER(iwp) :: i !<
	963	INTEGER(iwp) :: j !<
	964	INTEGER(iwp) :: k !<
[736]	965
[1682]	966	REAL(wp) :: sbt !<
[736]	967
[1320]	968
[736]	969	!
[1361]	970	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	971	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	972	( intermediate_timestep_count == 1 .OR. &
	973	call_microphysics_at_all_substeps ) &
	974	) THEN
	975	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	976	CALL microphysics_control
	977	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	978	ENDIF
	979
	980	!
[736]	981	!-- u-velocity component
	982	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	983
[1337]	984	tend = 0.0_wp
[1001]	985	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	986	IF ( ws_scheme_mom ) THEN
	987	CALL advec_u_ws
	988	ELSE
	989	CALL advec_u_pw
	990	ENDIF
	991	ELSE
[1001]	992	CALL advec_u_up
[736]	993	ENDIF
[1001]	994	CALL diffusion_u
[736]	995	CALL coriolis( 1 )
[940]	996	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	997	CALL buoyancy( pt, 1 )
[940]	998	ENDIF
[736]	999
	1000	!
	1001	!-- Drag by plant canopy
	1002	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	1003
	1004	!
	1005	!-- External pressure gradient
	1006	IF ( dp_external ) THEN
	1007	DO i = nxlu, nxr
	1008	DO j = nys, nyn
	1009	DO k = dp_level_ind_b+1, nzt
	1010	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1011	ENDDO
	1012	ENDDO
	1013	ENDDO
	1014	ENDIF
	1015
[1241]	1016	!
	1017	!-- Nudging
[1691]	1018	IF ( nudging ) CALL nudge( simulated_time, 'u' )
[1241]	1019
[736]	1020	CALL user_actions( 'u-tendency' )
	1021
	1022	!
	1023	!-- Prognostic equation for u-velocity component
	1024	DO i = nxlu, nxr
	1025	DO j = nys, nyn
	1026	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	1027	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1028	tsc(3) * tu_m(k,j,i) ) &
[1398]	1029	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[736]	1030	ENDDO
	1031	ENDDO
	1032	ENDDO
	1033
	1034	!
	1035	!-- Calculate tendencies for the next Runge-Kutta step
	1036	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1037	IF ( intermediate_timestep_count == 1 ) THEN
	1038	DO i = nxlu, nxr
	1039	DO j = nys, nyn
	1040	DO k = nzb_u_inner(j,i)+1, nzt
	1041	tu_m(k,j,i) = tend(k,j,i)
	1042	ENDDO
	1043	ENDDO
	1044	ENDDO
	1045	ELSEIF ( intermediate_timestep_count < &
	1046	intermediate_timestep_count_max ) THEN
	1047	DO i = nxlu, nxr
	1048	DO j = nys, nyn
	1049	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	1050	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	1051	ENDDO
	1052	ENDDO
	1053	ENDDO
	1054	ENDIF
	1055	ENDIF
	1056
	1057	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1058
	1059	!
	1060	!-- v-velocity component
	1061	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1062
[1337]	1063	tend = 0.0_wp
[1001]	1064	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1065	IF ( ws_scheme_mom ) THEN
	1066	CALL advec_v_ws
	1067	ELSE
	1068	CALL advec_v_pw
	1069	END IF
	1070	ELSE
[1001]	1071	CALL advec_v_up
[736]	1072	ENDIF
[1001]	1073	CALL diffusion_v
[736]	1074	CALL coriolis( 2 )
	1075
	1076	!
	1077	!-- Drag by plant canopy
	1078	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1079
	1080	!
	1081	!-- External pressure gradient
	1082	IF ( dp_external ) THEN
	1083	DO i = nxl, nxr
	1084	DO j = nysv, nyn
	1085	DO k = dp_level_ind_b+1, nzt
	1086	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1087	ENDDO
	1088	ENDDO
	1089	ENDDO
	1090	ENDIF
	1091
[1241]	1092	!
	1093	!-- Nudging
[1691]	1094	IF ( nudging ) CALL nudge( simulated_time, 'v' )
[1241]	1095
[736]	1096	CALL user_actions( 'v-tendency' )
	1097
	1098	!
	1099	!-- Prognostic equation for v-velocity component
	1100	DO i = nxl, nxr
	1101	DO j = nysv, nyn
	1102	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	1103	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1104	tsc(3) * tv_m(k,j,i) ) &
[1398]	1105	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[736]	1106	ENDDO
	1107	ENDDO
	1108	ENDDO
	1109
	1110	!
	1111	!-- Calculate tendencies for the next Runge-Kutta step
	1112	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1113	IF ( intermediate_timestep_count == 1 ) THEN
	1114	DO i = nxl, nxr
	1115	DO j = nysv, nyn
	1116	DO k = nzb_v_inner(j,i)+1, nzt
	1117	tv_m(k,j,i) = tend(k,j,i)
	1118	ENDDO
	1119	ENDDO
	1120	ENDDO
	1121	ELSEIF ( intermediate_timestep_count < &
	1122	intermediate_timestep_count_max ) THEN
	1123	DO i = nxl, nxr
	1124	DO j = nysv, nyn
	1125	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	1126	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	1127	ENDDO
	1128	ENDDO
	1129	ENDDO
	1130	ENDIF
	1131	ENDIF
	1132
	1133	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1134
	1135	!
	1136	!-- w-velocity component
	1137	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1138
[1353]	1139	tend = 0.0_wp
[1001]	1140	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1141	IF ( ws_scheme_mom ) THEN
	1142	CALL advec_w_ws
	1143	ELSE
	1144	CALL advec_w_pw
	1145	ENDIF
	1146	ELSE
[1001]	1147	CALL advec_w_up
[736]	1148	ENDIF
[1001]	1149	CALL diffusion_w
[736]	1150	CALL coriolis( 3 )
[940]	1151
	1152	IF ( .NOT. neutral ) THEN
	1153	IF ( ocean ) THEN
[1179]	1154	CALL buoyancy( rho, 3 )
[736]	1155	ELSE
[940]	1156	IF ( .NOT. humidity ) THEN
[1179]	1157	CALL buoyancy( pt, 3 )
[940]	1158	ELSE
[1179]	1159	CALL buoyancy( vpt, 3 )
[940]	1160	ENDIF
[736]	1161	ENDIF
	1162	ENDIF
	1163
	1164	!
	1165	!-- Drag by plant canopy
	1166	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1167
	1168	CALL user_actions( 'w-tendency' )
	1169
	1170	!
	1171	!-- Prognostic equation for w-velocity component
	1172	DO i = nxl, nxr
	1173	DO j = nys, nyn
	1174	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	1175	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1176	tsc(3) * tw_m(k,j,i) ) &
	1177	- tsc(5) * rdf(k) * w(k,j,i)
[736]	1178	ENDDO
	1179	ENDDO
	1180	ENDDO
	1181
	1182	!
	1183	!-- Calculate tendencies for the next Runge-Kutta step
	1184	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1185	IF ( intermediate_timestep_count == 1 ) THEN
	1186	DO i = nxl, nxr
	1187	DO j = nys, nyn
	1188	DO k = nzb_w_inner(j,i)+1, nzt-1
	1189	tw_m(k,j,i) = tend(k,j,i)
	1190	ENDDO
	1191	ENDDO
	1192	ENDDO
	1193	ELSEIF ( intermediate_timestep_count < &
	1194	intermediate_timestep_count_max ) THEN
	1195	DO i = nxl, nxr
	1196	DO j = nys, nyn
	1197	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	1198	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	1199	ENDDO
	1200	ENDDO
	1201	ENDDO
	1202	ENDIF
	1203	ENDIF
	1204
	1205	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1206
[940]	1207
[736]	1208	!
[940]	1209	!-- If required, compute prognostic equation for potential temperature
	1210	IF ( .NOT. neutral ) THEN
[736]	1211
[940]	1212	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1213
[736]	1214	!
[940]	1215	!-- pt-tendency terms with communication
	1216	sbt = tsc(2)
	1217	IF ( scalar_advec == 'bc-scheme' ) THEN
[736]	1218
[940]	1219	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
[736]	1220	!
[1001]	1221	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1222	sbt = 1.0_wp
[940]	1223	ENDIF
[1337]	1224	tend = 0.0_wp
[940]	1225	CALL advec_s_bc( pt, 'pt' )
[1001]	1226
[736]	1227	ENDIF
[940]	1228
	1229	!
	1230	!-- pt-tendency terms with no communication
[1001]	1231	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1232	tend = 0.0_wp
[1001]	1233	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	1234	IF ( ws_scheme_sca ) THEN
	1235	CALL advec_s_ws( pt, 'pt' )
	1236	ELSE
	1237	CALL advec_s_pw( pt )
	1238	ENDIF
	1239	ELSE
[1001]	1240	CALL advec_s_up( pt )
[940]	1241	ENDIF
[736]	1242	ENDIF
	1243
[1001]	1244	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1245
[736]	1246	!
[940]	1247	!-- If required compute heating/cooling due to long wave radiation processes
[1496]	1248	IF ( cloud_top_radiation ) THEN
[940]	1249	CALL calc_radiation
	1250	ENDIF
[736]	1251
	1252	!
[940]	1253	!-- If required compute impact of latent heat due to precipitation
[1361]	1254	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[940]	1255	CALL impact_of_latent_heat
	1256	ENDIF
[736]	1257
	1258	!
[940]	1259	!-- Consideration of heat sources within the plant canopy
[1337]	1260	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[940]	1261	CALL plant_canopy_model( 4 )
	1262	ENDIF
[736]	1263
[940]	1264	!
[1365]	1265	!-- Large scale advection
	1266	IF ( large_scale_forcing ) THEN
	1267	CALL ls_advec( simulated_time, 'pt' )
	1268	ENDIF
	1269
	1270	!
[1380]	1271	!-- Nudging
	1272	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1273
	1274	!
[940]	1275	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1276	IF ( large_scale_subsidence .AND. &
	1277	.NOT. use_subsidence_tendencies ) THEN
	1278	CALL subsidence( tend, pt, pt_init, 2 )
[940]	1279	ENDIF
[736]	1280
[1585]	1281	!
	1282	!-- If required, add tendency due to radiative heating/cooling
[1691]	1283	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	1284	simulated_time > skip_time_do_radiation ) THEN
	1285	CALL radiation_tendency ( tend )
[1585]	1286	ENDIF
	1287
[940]	1288	CALL user_actions( 'pt-tendency' )
[736]	1289
	1290	!
[940]	1291	!-- Prognostic equation for potential temperature
	1292	DO i = nxl, nxr
	1293	DO j = nys, nyn
	1294	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1295	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1296	tsc(3) * tpt_m(k,j,i) ) &
	1297	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1298	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	1299	ENDDO
[736]	1300	ENDDO
	1301	ENDDO
	1302
	1303	!
[940]	1304	!-- Calculate tendencies for the next Runge-Kutta step
	1305	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1306	IF ( intermediate_timestep_count == 1 ) THEN
	1307	DO i = nxl, nxr
	1308	DO j = nys, nyn
	1309	DO k = nzb_s_inner(j,i)+1, nzt
	1310	tpt_m(k,j,i) = tend(k,j,i)
	1311	ENDDO
[736]	1312	ENDDO
	1313	ENDDO
[940]	1314	ELSEIF ( intermediate_timestep_count < &
	1315	intermediate_timestep_count_max ) THEN
	1316	DO i = nxl, nxr
	1317	DO j = nys, nyn
	1318	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1319	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1320	5.3125_wp * tpt_m(k,j,i)
[940]	1321	ENDDO
[736]	1322	ENDDO
	1323	ENDDO
[940]	1324	ENDIF
[736]	1325	ENDIF
[940]	1326
	1327	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1328
[736]	1329	ENDIF
	1330
	1331	!
	1332	!-- If required, compute prognostic equation for salinity
	1333	IF ( ocean ) THEN
	1334
	1335	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1336
	1337	!
	1338	!-- sa-tendency terms with communication
	1339	sbt = tsc(2)
	1340	IF ( scalar_advec == 'bc-scheme' ) THEN
	1341
	1342	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1343	!
[1001]	1344	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1345	sbt = 1.0_wp
[736]	1346	ENDIF
[1337]	1347	tend = 0.0_wp
[736]	1348	CALL advec_s_bc( sa, 'sa' )
[1001]	1349
[736]	1350	ENDIF
	1351
	1352	!
	1353	!-- sa-tendency terms with no communication
[1001]	1354	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1353]	1355	tend = 0.0_wp
[1001]	1356	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1357	IF ( ws_scheme_sca ) THEN
	1358	CALL advec_s_ws( sa, 'sa' )
	1359	ELSE
	1360	CALL advec_s_pw( sa )
	1361	ENDIF
	1362	ELSE
[1001]	1363	CALL advec_s_up( sa )
[736]	1364	ENDIF
	1365	ENDIF
[1001]	1366
	1367	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[736]	1368
	1369	CALL user_actions( 'sa-tendency' )
	1370
	1371	!
	1372	!-- Prognostic equation for salinity
	1373	DO i = nxl, nxr
	1374	DO j = nys, nyn
	1375	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1376	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1377	tsc(3) * tsa_m(k,j,i) ) &
	1378	- tsc(5) * rdf_sc(k) * &
	1379	( sa(k,j,i) - sa_init(k) )
[1337]	1380	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	1381	ENDDO
	1382	ENDDO
	1383	ENDDO
	1384
	1385	!
	1386	!-- Calculate tendencies for the next Runge-Kutta step
	1387	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1388	IF ( intermediate_timestep_count == 1 ) THEN
	1389	DO i = nxl, nxr
	1390	DO j = nys, nyn
	1391	DO k = nzb_s_inner(j,i)+1, nzt
	1392	tsa_m(k,j,i) = tend(k,j,i)
	1393	ENDDO
	1394	ENDDO
	1395	ENDDO
	1396	ELSEIF ( intermediate_timestep_count < &
	1397	intermediate_timestep_count_max ) THEN
	1398	DO i = nxl, nxr
	1399	DO j = nys, nyn
	1400	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1401	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1402	5.3125_wp * tsa_m(k,j,i)
[736]	1403	ENDDO
	1404	ENDDO
	1405	ENDDO
	1406	ENDIF
	1407	ENDIF
	1408
	1409	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1410
	1411	!
	1412	!-- Calculate density by the equation of state for seawater
	1413	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1414	CALL eqn_state_seawater
	1415	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1416
	1417	ENDIF
	1418
	1419	!
	1420	!-- If required, compute prognostic equation for total water content / scalar
	1421	IF ( humidity .OR. passive_scalar ) THEN
	1422
	1423	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1424
	1425	!
	1426	!-- Scalar/q-tendency terms with communication
	1427	sbt = tsc(2)
	1428	IF ( scalar_advec == 'bc-scheme' ) THEN
	1429
	1430	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1431	!
[1001]	1432	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1433	sbt = 1.0_wp
[736]	1434	ENDIF
[1337]	1435	tend = 0.0_wp
[736]	1436	CALL advec_s_bc( q, 'q' )
[1001]	1437
[736]	1438	ENDIF
	1439
	1440	!
	1441	!-- Scalar/q-tendency terms with no communication
[1001]	1442	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1443	tend = 0.0_wp
[1001]	1444	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1445	IF ( ws_scheme_sca ) THEN
	1446	CALL advec_s_ws( q, 'q' )
	1447	ELSE
	1448	CALL advec_s_pw( q )
	1449	ENDIF
	1450	ELSE
[1001]	1451	CALL advec_s_up( q )
[736]	1452	ENDIF
	1453	ENDIF
[1001]	1454
	1455	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[736]	1456
	1457	!
	1458	!-- If required compute decrease of total water content due to
	1459	!-- precipitation
[1361]	1460	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[736]	1461	CALL calc_precipitation
	1462	ENDIF
	1463
	1464	!
	1465	!-- Sink or source of scalar concentration due to canopy elements
	1466	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
[1365]	1467
[736]	1468	!
[1365]	1469	!-- Large scale advection
	1470	IF ( large_scale_forcing ) THEN
	1471	CALL ls_advec( simulated_time, 'q' )
	1472	ENDIF
	1473
	1474	!
[1380]	1475	!-- Nudging
	1476	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1477
	1478	!
[736]	1479	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1480	IF ( large_scale_subsidence .AND. &
	1481	.NOT. use_subsidence_tendencies ) THEN
	1482	CALL subsidence( tend, q, q_init, 3 )
[736]	1483	ENDIF
	1484
	1485	CALL user_actions( 'q-tendency' )
	1486
	1487	!
	1488	!-- Prognostic equation for total water content / scalar
	1489	DO i = nxl, nxr
	1490	DO j = nys, nyn
	1491	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1492	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1493	tsc(3) * tq_m(k,j,i) ) &
	1494	- tsc(5) * rdf_sc(k) * &
	1495	( q(k,j,i) - q_init(k) )
[1337]	1496	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	1497	ENDDO
	1498	ENDDO
	1499	ENDDO
	1500
	1501	!
	1502	!-- Calculate tendencies for the next Runge-Kutta step
	1503	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1504	IF ( intermediate_timestep_count == 1 ) THEN
	1505	DO i = nxl, nxr
	1506	DO j = nys, nyn
	1507	DO k = nzb_s_inner(j,i)+1, nzt
	1508	tq_m(k,j,i) = tend(k,j,i)
	1509	ENDDO
	1510	ENDDO
	1511	ENDDO
	1512	ELSEIF ( intermediate_timestep_count < &
	1513	intermediate_timestep_count_max ) THEN
	1514	DO i = nxl, nxr
	1515	DO j = nys, nyn
	1516	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1517	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[736]	1518	ENDDO
	1519	ENDDO
	1520	ENDDO
	1521	ENDIF
	1522	ENDIF
	1523
	1524	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1525
[1361]	1526	!
	1527	!-- If required, calculate prognostic equations for rain water content
	1528	!-- and rain drop concentration
	1529	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	1530
	1531	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1532
	1533	!
	1534	!-- Calculate prognostic equation for rain water content
	1535	sbt = tsc(2)
	1536	IF ( scalar_advec == 'bc-scheme' ) THEN
	1537
	1538	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1539	!
	1540	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1541	sbt = 1.0_wp
	1542	ENDIF
	1543	tend = 0.0_wp
	1544	CALL advec_s_bc( qr, 'qr' )
	1545
	1546	ENDIF
	1547
	1548	!
	1549	!-- qr-tendency terms with no communication
	1550	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1551	tend = 0.0_wp
	1552	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1553	IF ( ws_scheme_sca ) THEN
	1554	CALL advec_s_ws( qr, 'qr' )
	1555	ELSE
	1556	CALL advec_s_pw( qr )
	1557	ENDIF
	1558	ELSE
	1559	CALL advec_s_up( qr )
	1560	ENDIF
	1561	ENDIF
	1562
	1563	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1564
	1565	CALL user_actions( 'qr-tendency' )
	1566
	1567	!
	1568	!-- Prognostic equation for rain water content
	1569	DO i = nxl, nxr
	1570	DO j = nys, nyn
	1571	DO k = nzb_s_inner(j,i)+1, nzt
	1572	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1573	tsc(3) * tqr_m(k,j,i) ) &
	1574	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1575	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1576	ENDDO
	1577	ENDDO
	1578	ENDDO
	1579
	1580	!
	1581	!-- Calculate tendencies for the next Runge-Kutta step
	1582	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1583	IF ( intermediate_timestep_count == 1 ) THEN
	1584	DO i = nxl, nxr
	1585	DO j = nys, nyn
	1586	DO k = nzb_s_inner(j,i)+1, nzt
	1587	tqr_m(k,j,i) = tend(k,j,i)
	1588	ENDDO
	1589	ENDDO
	1590	ENDDO
	1591	ELSEIF ( intermediate_timestep_count < &
	1592	intermediate_timestep_count_max ) THEN
	1593	DO i = nxl, nxr
	1594	DO j = nys, nyn
	1595	DO k = nzb_s_inner(j,i)+1, nzt
	1596	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1597	tqr_m(k,j,i)
	1598	ENDDO
	1599	ENDDO
	1600	ENDDO
	1601	ENDIF
	1602	ENDIF
	1603
	1604	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1605	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1606
	1607	!
	1608	!-- Calculate prognostic equation for rain drop concentration
	1609	sbt = tsc(2)
	1610	IF ( scalar_advec == 'bc-scheme' ) THEN
	1611
	1612	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1613	!
	1614	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1615	sbt = 1.0_wp
	1616	ENDIF
	1617	tend = 0.0_wp
	1618	CALL advec_s_bc( nr, 'nr' )
	1619
	1620	ENDIF
	1621
	1622	!
	1623	!-- nr-tendency terms with no communication
	1624	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1625	tend = 0.0_wp
	1626	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1627	IF ( ws_scheme_sca ) THEN
	1628	CALL advec_s_ws( nr, 'nr' )
	1629	ELSE
	1630	CALL advec_s_pw( nr )
	1631	ENDIF
	1632	ELSE
	1633	CALL advec_s_up( nr )
	1634	ENDIF
	1635	ENDIF
	1636
	1637	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1638
	1639	CALL user_actions( 'nr-tendency' )
	1640
	1641	!
	1642	!-- Prognostic equation for rain drop concentration
	1643	DO i = nxl, nxr
	1644	DO j = nys, nyn
	1645	DO k = nzb_s_inner(j,i)+1, nzt
	1646	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1647	tsc(3) * tnr_m(k,j,i) ) &
	1648	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1649	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1650	ENDDO
	1651	ENDDO
	1652	ENDDO
	1653
	1654	!
	1655	!-- Calculate tendencies for the next Runge-Kutta step
	1656	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1657	IF ( intermediate_timestep_count == 1 ) THEN
	1658	DO i = nxl, nxr
	1659	DO j = nys, nyn
	1660	DO k = nzb_s_inner(j,i)+1, nzt
	1661	tnr_m(k,j,i) = tend(k,j,i)
	1662	ENDDO
	1663	ENDDO
	1664	ENDDO
	1665	ELSEIF ( intermediate_timestep_count < &
	1666	intermediate_timestep_count_max ) THEN
	1667	DO i = nxl, nxr
	1668	DO j = nys, nyn
	1669	DO k = nzb_s_inner(j,i)+1, nzt
	1670	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1671	tnr_m(k,j,i)
	1672	ENDDO
	1673	ENDDO
	1674	ENDDO
	1675	ENDIF
	1676	ENDIF
	1677
	1678	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1679
	1680	ENDIF
	1681
[736]	1682	ENDIF
	1683
	1684	!
	1685	!-- If required, compute prognostic equation for turbulent kinetic
	1686	!-- energy (TKE)
	1687	IF ( .NOT. constant_diffusion ) THEN
	1688
	1689	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1690
	1691	sbt = tsc(2)
	1692	IF ( .NOT. use_upstream_for_tke ) THEN
	1693	IF ( scalar_advec == 'bc-scheme' ) THEN
	1694
	1695	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1696	!
[1001]	1697	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1698	sbt = 1.0_wp
[736]	1699	ENDIF
[1337]	1700	tend = 0.0_wp
[736]	1701	CALL advec_s_bc( e, 'e' )
[1001]	1702
[736]	1703	ENDIF
	1704	ENDIF
	1705
	1706	!
	1707	!-- TKE-tendency terms with no communication
[1001]	1708	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
[736]	1709	IF ( use_upstream_for_tke ) THEN
[1337]	1710	tend = 0.0_wp
[736]	1711	CALL advec_s_up( e )
	1712	ELSE
[1337]	1713	tend = 0.0_wp
[1001]	1714	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1715	IF ( ws_scheme_sca ) THEN
	1716	CALL advec_s_ws( e, 'e' )
	1717	ELSE
	1718	CALL advec_s_pw( e )
	1719	ENDIF
	1720	ELSE
[1001]	1721	CALL advec_s_up( e )
[736]	1722	ENDIF
	1723	ENDIF
[1001]	1724	ENDIF
	1725
	1726	IF ( .NOT. humidity ) THEN
	1727	IF ( ocean ) THEN
	1728	CALL diffusion_e( prho, prho_reference )
[736]	1729	ELSE
[1001]	1730	CALL diffusion_e( pt, pt_reference )
[736]	1731	ENDIF
[1001]	1732	ELSE
	1733	CALL diffusion_e( vpt, pt_reference )
[736]	1734	ENDIF
[1001]	1735
[736]	1736	CALL production_e
	1737
	1738	!
	1739	!-- Additional sink term for flows through plant canopies
	1740	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	1741	CALL user_actions( 'e-tendency' )
	1742
	1743	!
	1744	!-- Prognostic equation for TKE.
	1745	!-- Eliminate negative TKE values, which can occur due to numerical
	1746	!-- reasons in the course of the integration. In such cases the old TKE
	1747	!-- value is reduced by 90%.
	1748	DO i = nxl, nxr
	1749	DO j = nys, nyn
	1750	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1751	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1752	tsc(3) * te_m(k,j,i) )
[1337]	1753	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	1754	ENDDO
	1755	ENDDO
	1756	ENDDO
	1757
	1758	!
	1759	!-- Calculate tendencies for the next Runge-Kutta step
	1760	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1761	IF ( intermediate_timestep_count == 1 ) THEN
	1762	DO i = nxl, nxr
	1763	DO j = nys, nyn
	1764	DO k = nzb_s_inner(j,i)+1, nzt
	1765	te_m(k,j,i) = tend(k,j,i)
	1766	ENDDO
	1767	ENDDO
	1768	ENDDO
	1769	ELSEIF ( intermediate_timestep_count < &
	1770	intermediate_timestep_count_max ) THEN
	1771	DO i = nxl, nxr
	1772	DO j = nys, nyn
	1773	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1774	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[736]	1775	ENDDO
	1776	ENDDO
	1777	ENDDO
	1778	ENDIF
	1779	ENDIF
	1780
	1781	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1782
	1783	ENDIF
	1784
	1785	END SUBROUTINE prognostic_equations_vector
	1786
	1787
[1015]	1788	!------------------------------------------------------------------------------!
[1691]	1789	! Description:
	1790	! ------------
[1682]	1791	!> Version for accelerator boards
[1015]	1792	!------------------------------------------------------------------------------!
[1691]	1793
[1682]	1794	SUBROUTINE prognostic_equations_acc
[1015]	1795
[1682]	1796
[1015]	1797	IMPLICIT NONE
	1798
[1682]	1799	INTEGER(iwp) :: i !<
	1800	INTEGER(iwp) :: j !<
	1801	INTEGER(iwp) :: k !<
	1802	INTEGER(iwp) :: runge_step !<
[1015]	1803
[1682]	1804	REAL(wp) :: sbt !<
[1320]	1805
[1015]	1806	!
	1807	!-- Set switch for intermediate Runge-Kutta step
	1808	runge_step = 0
	1809	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1810	IF ( intermediate_timestep_count == 1 ) THEN
	1811	runge_step = 1
	1812	ELSEIF ( intermediate_timestep_count < &
	1813	intermediate_timestep_count_max ) THEN
	1814	runge_step = 2
	1815	ENDIF
	1816	ENDIF
	1817
	1818	!
[1361]	1819	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	1820	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	1821	( intermediate_timestep_count == 1 .OR. &
	1822	call_microphysics_at_all_substeps ) &
	1823	) THEN
	1824	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1825	CALL microphysics_control
	1826	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1827	ENDIF
	1828
	1829	!
[1015]	1830	!-- u-velocity component
[1374]	1831	!++ Statistics still not completely ported to accelerators
[1179]	1832	!$acc update device( hom, ref_state )
[1015]	1833	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1834
	1835	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1836	IF ( ws_scheme_mom ) THEN
	1837	CALL advec_u_ws_acc
	1838	ELSE
[1337]	1839	tend = 0.0_wp ! to be removed later??
[1015]	1840	CALL advec_u_pw
	1841	ENDIF
	1842	ELSE
	1843	CALL advec_u_up
	1844	ENDIF
	1845	CALL diffusion_u_acc
	1846	CALL coriolis_acc( 1 )
	1847	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	1848	CALL buoyancy( pt, 1 )
[1015]	1849	ENDIF
	1850
	1851	!
	1852	!-- Drag by plant canopy
	1853	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	1854
	1855	!
	1856	!-- External pressure gradient
	1857	IF ( dp_external ) THEN
[1128]	1858	DO i = i_left, i_right
	1859	DO j = j_south, j_north
[1015]	1860	DO k = dp_level_ind_b+1, nzt
	1861	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1862	ENDDO
	1863	ENDDO
	1864	ENDDO
	1865	ENDIF
	1866
[1246]	1867	!
	1868	!-- Nudging
[1691]	1869	IF ( nudging ) CALL nudge( simulated_time, 'u' )
[1246]	1870
[1015]	1871	CALL user_actions( 'u-tendency' )
	1872
	1873	!
	1874	!-- Prognostic equation for u-velocity component
[1398]	1875	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, u_init, u_p )
[1257]	1876	!$acc loop independent
[1128]	1877	DO i = i_left, i_right
[1257]	1878	!$acc loop independent
[1128]	1879	DO j = j_south, j_north
[1257]	1880	!$acc loop independent
[1015]	1881	DO k = 1, nzt
	1882	IF ( k > nzb_u_inner(j,i) ) THEN
	1883	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1884	tsc(3) * tu_m(k,j,i) ) &
[1398]	1885	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[1015]	1886	!
	1887	!-- Tendencies for the next Runge-Kutta step
	1888	IF ( runge_step == 1 ) THEN
	1889	tu_m(k,j,i) = tend(k,j,i)
	1890	ELSEIF ( runge_step == 2 ) THEN
[1337]	1891	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[1015]	1892	ENDIF
	1893	ENDIF
	1894	ENDDO
	1895	ENDDO
	1896	ENDDO
	1897	!$acc end kernels
	1898
	1899	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1900
	1901	!
	1902	!-- v-velocity component
	1903	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1904
	1905	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1906	IF ( ws_scheme_mom ) THEN
	1907	CALL advec_v_ws_acc
	1908	ELSE
[1337]	1909	tend = 0.0_wp ! to be removed later??
[1015]	1910	CALL advec_v_pw
	1911	END IF
	1912	ELSE
	1913	CALL advec_v_up
	1914	ENDIF
	1915	CALL diffusion_v_acc
	1916	CALL coriolis_acc( 2 )
	1917
	1918	!
	1919	!-- Drag by plant canopy
	1920	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1921
	1922	!
	1923	!-- External pressure gradient
	1924	IF ( dp_external ) THEN
[1128]	1925	DO i = i_left, i_right
	1926	DO j = j_south, j_north
[1015]	1927	DO k = dp_level_ind_b+1, nzt
	1928	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1929	ENDDO
	1930	ENDDO
	1931	ENDDO
	1932	ENDIF
	1933
[1246]	1934	!
	1935	!-- Nudging
[1691]	1936	IF ( nudging ) CALL nudge( simulated_time, 'v' )
[1246]	1937
[1015]	1938	CALL user_actions( 'v-tendency' )
	1939
	1940	!
	1941	!-- Prognostic equation for v-velocity component
[1398]	1942	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, v_init, v_p )
[1257]	1943	!$acc loop independent
[1128]	1944	DO i = i_left, i_right
[1257]	1945	!$acc loop independent
[1128]	1946	DO j = j_south, j_north
[1257]	1947	!$acc loop independent
[1015]	1948	DO k = 1, nzt
	1949	IF ( k > nzb_v_inner(j,i) ) THEN
	1950	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1951	tsc(3) * tv_m(k,j,i) ) &
[1398]	1952	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[1015]	1953	!
	1954	!-- Tendencies for the next Runge-Kutta step
	1955	IF ( runge_step == 1 ) THEN
	1956	tv_m(k,j,i) = tend(k,j,i)
	1957	ELSEIF ( runge_step == 2 ) THEN
[1337]	1958	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[1015]	1959	ENDIF
	1960	ENDIF
	1961	ENDDO
	1962	ENDDO
	1963	ENDDO
	1964	!$acc end kernels
	1965
	1966	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1967
	1968	!
	1969	!-- w-velocity component
	1970	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1971
	1972	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1973	IF ( ws_scheme_mom ) THEN
	1974	CALL advec_w_ws_acc
	1975	ELSE
[1337]	1976	tend = 0.0_wp ! to be removed later??
[1015]	1977	CALL advec_w_pw
	1978	ENDIF
	1979	ELSE
	1980	CALL advec_w_up
	1981	ENDIF
	1982	CALL diffusion_w_acc
	1983	CALL coriolis_acc( 3 )
	1984
	1985	IF ( .NOT. neutral ) THEN
	1986	IF ( ocean ) THEN
[1179]	1987	CALL buoyancy( rho, 3 )
[1015]	1988	ELSE
	1989	IF ( .NOT. humidity ) THEN
[1179]	1990	CALL buoyancy_acc( pt, 3 )
[1015]	1991	ELSE
[1179]	1992	CALL buoyancy( vpt, 3 )
[1015]	1993	ENDIF
	1994	ENDIF
	1995	ENDIF
	1996
	1997	!
	1998	!-- Drag by plant canopy
	1999	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	2000
	2001	CALL user_actions( 'w-tendency' )
	2002
	2003	!
	2004	!-- Prognostic equation for w-velocity component
	2005	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
[1257]	2006	!$acc loop independent
[1128]	2007	DO i = i_left, i_right
[1257]	2008	!$acc loop independent
[1128]	2009	DO j = j_south, j_north
[1257]	2010	!$acc loop independent
[1015]	2011	DO k = 1, nzt-1
	2012	IF ( k > nzb_w_inner(j,i) ) THEN
	2013	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2014	tsc(3) * tw_m(k,j,i) ) &
	2015	- tsc(5) * rdf(k) * w(k,j,i)
	2016	!
	2017	!-- Tendencies for the next Runge-Kutta step
	2018	IF ( runge_step == 1 ) THEN
	2019	tw_m(k,j,i) = tend(k,j,i)
	2020	ELSEIF ( runge_step == 2 ) THEN
[1337]	2021	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[1015]	2022	ENDIF
	2023	ENDIF
	2024	ENDDO
	2025	ENDDO
	2026	ENDDO
	2027	!$acc end kernels
	2028
	2029	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	2030
	2031
	2032	!
	2033	!-- If required, compute prognostic equation for potential temperature
	2034	IF ( .NOT. neutral ) THEN
	2035
	2036	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	2037
	2038	!
	2039	!-- pt-tendency terms with communication
	2040	sbt = tsc(2)
	2041	IF ( scalar_advec == 'bc-scheme' ) THEN
	2042
	2043	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2044	!
	2045	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	2046	sbt = 1.0_wp
[1015]	2047	ENDIF
[1337]	2048	tend = 0.0_wp
[1015]	2049	CALL advec_s_bc( pt, 'pt' )
	2050
	2051	ENDIF
	2052
	2053	!
	2054	!-- pt-tendency terms with no communication
	2055	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2056	tend = 0.0_wp
[1015]	2057	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2058	IF ( ws_scheme_sca ) THEN
	2059	CALL advec_s_ws_acc( pt, 'pt' )
	2060	ELSE
[1337]	2061	tend = 0.0_wp ! to be removed later??
[1015]	2062	CALL advec_s_pw( pt )
	2063	ENDIF
	2064	ELSE
	2065	CALL advec_s_up( pt )
	2066	ENDIF
	2067	ENDIF
	2068
	2069	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2070
	2071	!
	2072	!-- If required compute heating/cooling due to long wave radiation processes
[1496]	2073	IF ( cloud_top_radiation ) THEN
[1015]	2074	CALL calc_radiation
	2075	ENDIF
	2076
	2077	!
	2078	!-- If required compute impact of latent heat due to precipitation
[1361]	2079	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2080	CALL impact_of_latent_heat
	2081	ENDIF
	2082
	2083	!
	2084	!-- Consideration of heat sources within the plant canopy
[1337]	2085	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[1015]	2086	CALL plant_canopy_model( 4 )
	2087	ENDIF
	2088
	2089	!
[1365]	2090	!-- Large scale advection
	2091	IF ( large_scale_forcing ) THEN
	2092	CALL ls_advec( simulated_time, 'pt' )
	2093	ENDIF
	2094
	2095	!
[1380]	2096	!-- Nudging
	2097	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2098
	2099	!
[1015]	2100	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2101	IF ( large_scale_subsidence .AND. &
	2102	.NOT. use_subsidence_tendencies ) THEN
	2103	CALL subsidence( tend, pt, pt_init, 2 )
[1015]	2104	ENDIF
	2105
[1691]	2106	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	2107	simulated_time > skip_time_do_radiation ) THEN
	2108	CALL radiation_tendency ( tend )
	2109	ENDIF
	2110
[1015]	2111	CALL user_actions( 'pt-tendency' )
	2112
	2113	!
	2114	!-- Prognostic equation for potential temperature
	2115	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2116	!$acc present( tend, tpt_m, pt, pt_p )
[1257]	2117	!$acc loop independent
[1128]	2118	DO i = i_left, i_right
[1257]	2119	!$acc loop independent
[1128]	2120	DO j = j_south, j_north
[1257]	2121	!$acc loop independent
[1015]	2122	DO k = 1, nzt
	2123	IF ( k > nzb_s_inner(j,i) ) THEN
	2124	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2125	tsc(3) * tpt_m(k,j,i) ) &
	2126	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2127	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2128	!
	2129	!-- Tendencies for the next Runge-Kutta step
	2130	IF ( runge_step == 1 ) THEN
	2131	tpt_m(k,j,i) = tend(k,j,i)
	2132	ELSEIF ( runge_step == 2 ) THEN
[1337]	2133	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
[1015]	2134	ENDIF
	2135	ENDIF
	2136	ENDDO
	2137	ENDDO
	2138	ENDDO
	2139	!$acc end kernels
	2140
	2141	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2142
	2143	ENDIF
	2144
	2145	!
	2146	!-- If required, compute prognostic equation for salinity
	2147	IF ( ocean ) THEN
	2148
	2149	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2150
	2151	!
	2152	!-- sa-tendency terms with communication
	2153	sbt = tsc(2)
	2154	IF ( scalar_advec == 'bc-scheme' ) THEN
	2155
	2156	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2157	!
	2158	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2159	sbt = 1.0_wp
[1015]	2160	ENDIF
[1337]	2161	tend = 0.0_wp
[1015]	2162	CALL advec_s_bc( sa, 'sa' )
	2163
	2164	ENDIF
	2165
	2166	!
	2167	!-- sa-tendency terms with no communication
	2168	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2169	tend = 0.0_wp
[1015]	2170	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2171	IF ( ws_scheme_sca ) THEN
	2172	CALL advec_s_ws( sa, 'sa' )
	2173	ELSE
	2174	CALL advec_s_pw( sa )
	2175	ENDIF
	2176	ELSE
	2177	CALL advec_s_up( sa )
	2178	ENDIF
	2179	ENDIF
	2180
	2181	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2182
	2183	CALL user_actions( 'sa-tendency' )
	2184
	2185	!
	2186	!-- Prognostic equation for salinity
[1128]	2187	DO i = i_left, i_right
	2188	DO j = j_south, j_north
[1015]	2189	DO k = nzb_s_inner(j,i)+1, nzt
	2190	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2191	tsc(3) * tsa_m(k,j,i) ) &
	2192	- tsc(5) * rdf_sc(k) * &
	2193	( sa(k,j,i) - sa_init(k) )
[1337]	2194	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[1015]	2195	!
	2196	!-- Tendencies for the next Runge-Kutta step
	2197	IF ( runge_step == 1 ) THEN
	2198	tsa_m(k,j,i) = tend(k,j,i)
	2199	ELSEIF ( runge_step == 2 ) THEN
[1337]	2200	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
[1015]	2201	ENDIF
	2202	ENDDO
	2203	ENDDO
	2204	ENDDO
	2205
	2206	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2207
	2208	!
	2209	!-- Calculate density by the equation of state for seawater
	2210	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2211	CALL eqn_state_seawater
	2212	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2213
	2214	ENDIF
	2215
	2216	!
	2217	!-- If required, compute prognostic equation for total water content / scalar
	2218	IF ( humidity .OR. passive_scalar ) THEN
	2219
	2220	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2221
	2222	!
	2223	!-- Scalar/q-tendency terms with communication
	2224	sbt = tsc(2)
	2225	IF ( scalar_advec == 'bc-scheme' ) THEN
	2226
	2227	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2228	!
	2229	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2230	sbt = 1.0_wp
[1015]	2231	ENDIF
[1337]	2232	tend = 0.0_wp
[1015]	2233	CALL advec_s_bc( q, 'q' )
	2234
	2235	ENDIF
	2236
	2237	!
	2238	!-- Scalar/q-tendency terms with no communication
	2239	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2240	tend = 0.0_wp
[1015]	2241	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2242	IF ( ws_scheme_sca ) THEN
	2243	CALL advec_s_ws( q, 'q' )
	2244	ELSE
	2245	CALL advec_s_pw( q )
	2246	ENDIF
	2247	ELSE
	2248	CALL advec_s_up( q )
	2249	ENDIF
	2250	ENDIF
	2251
	2252	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2253
	2254	!
	2255	!-- If required compute decrease of total water content due to
	2256	!-- precipitation
[1361]	2257	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2258	CALL calc_precipitation
	2259	ENDIF
	2260
	2261	!
	2262	!-- Sink or source of scalar concentration due to canopy elements
	2263	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
	2264
	2265	!
[1365]	2266	!-- Large scale advection
	2267	IF ( large_scale_forcing ) THEN
	2268	CALL ls_advec( simulated_time, 'q' )
	2269	ENDIF
	2270
	2271	!
[1380]	2272	!-- Nudging
	2273	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2274
	2275	!
[1015]	2276	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2277	IF ( large_scale_subsidence .AND. &
	2278	.NOT. use_subsidence_tendencies ) THEN
	2279	CALL subsidence( tend, q, q_init, 3 )
[1015]	2280	ENDIF
	2281
	2282	CALL user_actions( 'q-tendency' )
	2283
	2284	!
	2285	!-- Prognostic equation for total water content / scalar
[1128]	2286	DO i = i_left, i_right
	2287	DO j = j_south, j_north
[1015]	2288	DO k = nzb_s_inner(j,i)+1, nzt
	2289	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2290	tsc(3) * tq_m(k,j,i) ) &
	2291	- tsc(5) * rdf_sc(k) * &
	2292	( q(k,j,i) - q_init(k) )
[1337]	2293	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[1015]	2294	!
	2295	!-- Tendencies for the next Runge-Kutta step
	2296	IF ( runge_step == 1 ) THEN
	2297	tq_m(k,j,i) = tend(k,j,i)
	2298	ELSEIF ( runge_step == 2 ) THEN
[1337]	2299	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[1015]	2300	ENDIF
	2301	ENDDO
	2302	ENDDO
	2303	ENDDO
	2304
	2305	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2306
[1361]	2307	!
	2308	!-- If required, calculate prognostic equations for rain water content
	2309	!-- and rain drop concentration
	2310	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	2311
	2312	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2313	!
	2314	!-- qr-tendency terms with communication
	2315	sbt = tsc(2)
	2316	IF ( scalar_advec == 'bc-scheme' ) THEN
	2317
	2318	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2319	!
	2320	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2321	sbt = 1.0_wp
	2322	ENDIF
	2323	tend = 0.0_wp
	2324	CALL advec_s_bc( qr, 'qr' )
	2325
	2326	ENDIF
	2327
	2328	!
	2329	!-- qr-tendency terms with no communication
	2330	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2331	tend = 0.0_wp
	2332	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2333	IF ( ws_scheme_sca ) THEN
	2334	CALL advec_s_ws( qr, 'qr' )
	2335	ELSE
	2336	CALL advec_s_pw( qr )
	2337	ENDIF
	2338	ELSE
	2339	CALL advec_s_up( qr )
	2340	ENDIF
	2341	ENDIF
	2342
	2343	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2344
	2345	CALL user_actions( 'qr-tendency' )
	2346
	2347	!
	2348	!-- Prognostic equation for rain water content
	2349	DO i = i_left, i_right
	2350	DO j = j_south, j_north
	2351	DO k = nzb_s_inner(j,i)+1, nzt
	2352	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2353	tsc(3) * tqr_m(k,j,i) ) &
	2354	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2355	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2356	!
	2357	!-- Tendencies for the next Runge-Kutta step
	2358	IF ( runge_step == 1 ) THEN
	2359	tqr_m(k,j,i) = tend(k,j,i)
	2360	ELSEIF ( runge_step == 2 ) THEN
	2361	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2362	tqr_m(k,j,i)
	2363	ENDIF
	2364	ENDDO
	2365	ENDDO
	2366	ENDDO
	2367
	2368	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2369	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2370
	2371	!
	2372	!-- nr-tendency terms with communication
	2373	sbt = tsc(2)
	2374	IF ( scalar_advec == 'bc-scheme' ) THEN
	2375
	2376	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2377	!
	2378	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2379	sbt = 1.0_wp
	2380	ENDIF
	2381	tend = 0.0_wp
	2382	CALL advec_s_bc( nr, 'nr' )
	2383
	2384	ENDIF
	2385
	2386	!
	2387	!-- nr-tendency terms with no communication
	2388	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2389	tend = 0.0_wp
	2390	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2391	IF ( ws_scheme_sca ) THEN
	2392	CALL advec_s_ws( nr, 'nr' )
	2393	ELSE
	2394	CALL advec_s_pw( nr )
	2395	ENDIF
	2396	ELSE
	2397	CALL advec_s_up( nr )
	2398	ENDIF
	2399	ENDIF
	2400
	2401	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2402
	2403	CALL user_actions( 'nr-tendency' )
	2404
	2405	!
	2406	!-- Prognostic equation for rain drop concentration
	2407	DO i = i_left, i_right
	2408	DO j = j_south, j_north
	2409	DO k = nzb_s_inner(j,i)+1, nzt
	2410	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2411	tsc(3) * tnr_m(k,j,i) ) &
	2412	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2413	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2414	!
	2415	!-- Tendencies for the next Runge-Kutta step
	2416	IF ( runge_step == 1 ) THEN
	2417	tnr_m(k,j,i) = tend(k,j,i)
	2418	ELSEIF ( runge_step == 2 ) THEN
	2419	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2420	tnr_m(k,j,i)
	2421	ENDIF
	2422	ENDDO
	2423	ENDDO
	2424	ENDDO
	2425
	2426	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2427
	2428	ENDIF
	2429
[1015]	2430	ENDIF
	2431
	2432	!
	2433	!-- If required, compute prognostic equation for turbulent kinetic
	2434	!-- energy (TKE)
	2435	IF ( .NOT. constant_diffusion ) THEN
	2436
	2437	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2438
	2439	sbt = tsc(2)
	2440	IF ( .NOT. use_upstream_for_tke ) THEN
	2441	IF ( scalar_advec == 'bc-scheme' ) THEN
	2442
	2443	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2444	!
	2445	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2446	sbt = 1.0_wp
[1015]	2447	ENDIF
[1337]	2448	tend = 0.0_wp
[1015]	2449	CALL advec_s_bc( e, 'e' )
	2450
	2451	ENDIF
	2452	ENDIF
	2453
	2454	!
	2455	!-- TKE-tendency terms with no communication
	2456	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2457	IF ( use_upstream_for_tke ) THEN
[1337]	2458	tend = 0.0_wp
[1015]	2459	CALL advec_s_up( e )
	2460	ELSE
	2461	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2462	IF ( ws_scheme_sca ) THEN
	2463	CALL advec_s_ws_acc( e, 'e' )
	2464	ELSE
[1337]	2465	tend = 0.0_wp ! to be removed later??
[1015]	2466	CALL advec_s_pw( e )
	2467	ENDIF
	2468	ELSE
[1337]	2469	tend = 0.0_wp ! to be removed later??
[1015]	2470	CALL advec_s_up( e )
	2471	ENDIF
	2472	ENDIF
	2473	ENDIF
	2474
	2475	IF ( .NOT. humidity ) THEN
	2476	IF ( ocean ) THEN
	2477	CALL diffusion_e( prho, prho_reference )
	2478	ELSE
	2479	CALL diffusion_e_acc( pt, pt_reference )
	2480	ENDIF
	2481	ELSE
	2482	CALL diffusion_e( vpt, pt_reference )
	2483	ENDIF
	2484
	2485	CALL production_e_acc
	2486
	2487	!
	2488	!-- Additional sink term for flows through plant canopies
	2489	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	2490	CALL user_actions( 'e-tendency' )
	2491
	2492	!
	2493	!-- Prognostic equation for TKE.
	2494	!-- Eliminate negative TKE values, which can occur due to numerical
	2495	!-- reasons in the course of the integration. In such cases the old TKE
	2496	!-- value is reduced by 90%.
	2497	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
[1257]	2498	!$acc loop independent
[1128]	2499	DO i = i_left, i_right
[1257]	2500	!$acc loop independent
[1128]	2501	DO j = j_south, j_north
[1257]	2502	!$acc loop independent
[1015]	2503	DO k = 1, nzt
	2504	IF ( k > nzb_s_inner(j,i) ) THEN
	2505	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2506	tsc(3) * te_m(k,j,i) )
[1337]	2507	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[1015]	2508	!
	2509	!-- Tendencies for the next Runge-Kutta step
	2510	IF ( runge_step == 1 ) THEN
	2511	te_m(k,j,i) = tend(k,j,i)
	2512	ELSEIF ( runge_step == 2 ) THEN
[1337]	2513	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[1015]	2514	ENDIF
	2515	ENDIF
	2516	ENDDO
	2517	ENDDO
	2518	ENDDO
	2519	!$acc end kernels
	2520
	2521	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2522
	2523	ENDIF
	2524
	2525	END SUBROUTINE prognostic_equations_acc
	2526
	2527
[736]	2528	END MODULE prognostic_equations_mod

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