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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1682

Last change on this file since 1682 was 1682, checked in by knoop, 9 years ago
Code annotations made doxygen readable
Property svn:keywords set to `Id`
File size: 84.9 KB

Rev	Line
[1682]	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	!
[1310]	16	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[736]	19	! Current revisions:
[1092]	20	! ------------------
[1682]	21	! Code annotations made doxygen readable
[1586]	22	!
[1485]	23	! Former revisions:
	24	! -----------------
	25	! $Id: prognostic_equations.f90 1682 2015-10-07 23:56:08Z knoop $
	26	!
[1586]	27	! 1585 2015-04-30 07:05:52Z maronga
	28	! Added call for temperature tendency calculation due to radiative flux divergence
	29	!
[1518]	30	! 1517 2015-01-07 19:12:25Z hoffmann
	31	! advec_s_bc_mod addded, since advec_s_bc is now a module
	32	!
[1517]	33	! 1496 2014-12-02 17:25:50Z maronga
[1497]	34	! Renamed "radiation" -> "cloud_top_radiation"
	35	!
[1496]	36	! 1484 2014-10-21 10:53:05Z kanani
[1484]	37	! Changes due to new module structure of the plant canopy model:
	38	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	39	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	40	! control_parameters
	41	!
	42	! 1409 2014-05-23 12:11:32Z suehring
[1409]	43	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
	44	! This ensures that left-hand side fluxes are also calculated for nxl in that
	45	! case, even though the solution at nxl is overwritten in boundary_conds()
	46	!
	47	! 1398 2014-05-07 11:15:00Z heinze
[1398]	48	! Rayleigh-damping for horizontal velocity components changed: instead of damping
	49	! against ug and vg, damping against u_init and v_init is used to allow for a
	50	! homogenized treatment in case of nudging
	51	!
	52	! 1380 2014-04-28 12:40:45Z heinze
[1381]	53	! Change order of calls for scalar prognostic quantities:
	54	! ls_advec -> nudging -> subsidence since initial profiles
	55	!
[1380]	56	! 1374 2014-04-25 12:55:07Z raasch
	57	! missing variables added to ONLY lists
	58	!
	59	! 1365 2014-04-22 15:03:56Z boeske
[1365]	60	! Calls of ls_advec for large scale advection added,
	61	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	62	! new argument ls_index added to the calls of subsidence
	63	! +ls_index
	64	!
	65	! 1361 2014-04-16 15:17:48Z hoffmann
[1361]	66	! Two-moment microphysics moved to the start of prognostic equations. This makes
	67	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	68	! Additionally, it is allowed to call the microphysics just once during the time
	69	! step (not at each sub-time step).
	70	!
	71	! Two-moment cloud physics added for vector and accelerator optimization.
	72	!
	73	! 1353 2014-04-08 15:21:23Z heinze
[1354]	74	! REAL constants provided with KIND-attribute
	75	!
[1353]	76	! 1337 2014-03-25 15:11:48Z heinze
	77	! Bugfix: REAL constants provided with KIND-attribute
	78	!
	79	! 1332 2014-03-25 11:59:43Z suehring
[1333]	80	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	81	!
[1332]	82	! 1330 2014-03-24 17:29:32Z suehring
[1331]	83	! In case of SGS-particle velocity advection of TKE is also allowed with
	84	! dissipative 5th-order scheme.
	85	!
[1321]	86	! 1320 2014-03-20 08:40:49Z raasch
[1320]	87	! ONLY-attribute added to USE-statements,
	88	! kind-parameters added to all INTEGER and REAL declaration statements,
	89	! kinds are defined in new module kinds,
	90	! old module precision_kind is removed,
	91	! revision history before 2012 removed,
	92	! comment fields (!:) to be used for variable explanations added to
	93	! all variable declaration statements
[1054]	94	!
[1319]	95	! 1318 2014-03-17 13:35:16Z raasch
	96	! module interfaces removed
	97	!
[1258]	98	! 1257 2013-11-08 15:18:40Z raasch
	99	! openacc loop vector clauses removed, independent clauses added
	100	!
[1247]	101	! 1246 2013-11-01 08:59:45Z heinze
	102	! enable nudging also for accelerator version
	103	!
[1242]	104	! 1241 2013-10-30 11:36:58Z heinze
	105	! usage of nudging enabled (so far not implemented for accelerator version)
	106	!
[1182]	107	! 1179 2013-06-14 05:57:58Z raasch
	108	! two arguments removed from routine buoyancy, ref_state updated on device
	109	!
[1132]	110	! 1128 2013-04-12 06:19:32Z raasch
	111	! those parts requiring global communication moved to time_integration,
	112	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	113	! j_north
	114	!
[1116]	115	! 1115 2013-03-26 18:16:16Z hoffmann
	116	! optimized cloud physics: calculation of microphysical tendencies transfered
	117	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	118	!
[1112]	119	! 1111 2013-03-08 23:54:10Z raasch
	120	! update directives for prognostic quantities removed
	121	!
[1107]	122	! 1106 2013-03-04 05:31:38Z raasch
	123	! small changes in code formatting
	124	!
[1093]	125	! 1092 2013-02-02 11:24:22Z raasch
	126	! unused variables removed
	127	!
[1054]	128	! 1053 2012-11-13 17:11:03Z hoffmann
[1053]	129	! implementation of two new prognostic equations for rain drop concentration (nr)
	130	! and rain water content (qr)
[979]	131	!
[1053]	132	! currently, only available for cache loop optimization
[1020]	133	!
[1037]	134	! 1036 2012-10-22 13:43:42Z raasch
	135	! code put under GPL (PALM 3.9)
	136	!
[1020]	137	! 1019 2012-09-28 06:46:45Z raasch
	138	! non-optimized version of prognostic_equations removed
	139	!
[1017]	140	! 1015 2012-09-27 09:23:24Z raasch
	141	! new branch prognostic_equations_acc
	142	! OpenACC statements added + code changes required for GPU optimization
	143	!
[1002]	144	! 1001 2012-09-13 14:08:46Z raasch
	145	! all actions concerning leapfrog- and upstream-spline-scheme removed
	146	!
[979]	147	! 978 2012-08-09 08:28:32Z fricke
[978]	148	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	149	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	150	! boundary in case of non-cyclic lateral boundaries
	151	! Bugfix: first thread index changes for WS-scheme at the inflow
[736]	152	!
[941]	153	! 940 2012-07-09 14:31:00Z raasch
	154	! temperature equation can be switched off
	155	!
[736]	156	! Revision 1.1 2000/04/13 14:56:27 schroeter
	157	! Initial revision
	158	!
	159	!
	160	! Description:
	161	! ------------
[1682]	162	!> Solving the prognostic equations.
[736]	163	!------------------------------------------------------------------------------!
[1682]	164	MODULE prognostic_equations_mod
[736]	165
[1682]	166
	167
[1320]	168	USE arrays_3d, &
	169	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	170	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	171	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	172	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	173	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	174	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
[1374]	175	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	176	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	177	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
[1398]	178	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
[1320]	179
	180	USE control_parameters, &
[1361]	181	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
[1496]	182	cloud_top_radiation, constant_diffusion, dp_external, &
[1320]	183	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	184	icloud_scheme, inflow_l, intermediate_timestep_count, &
[1365]	185	intermediate_timestep_count_max, large_scale_forcing, &
	186	large_scale_subsidence, neutral, nudging, ocean, outflow_l, &
[1484]	187	outflow_s, passive_scalar, precipitation, &
[1365]	188	prho_reference, prho_reference, prho_reference, pt_reference, &
[1496]	189	pt_reference, pt_reference, scalar_advec, scalar_advec, &
	190	simulated_time, sloping_surface, &
	191	timestep_scheme, tsc, use_subsidence_tendencies, &
	192	use_upstream_for_tke, wall_heatflux, &
[1320]	193	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	194	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
[736]	195
[1320]	196	USE cpulog, &
	197	ONLY: cpu_log, log_point
[736]	198
[1320]	199	USE eqn_state_seawater_mod, &
	200	ONLY: eqn_state_seawater
	201
	202	USE indices, &
	203	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	204	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	205
	206	USE advec_ws, &
	207	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	208	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	209
[1517]	210	USE advec_s_bc_mod, &
	211	ONLY: advec_s_bc
	212
[1320]	213	USE advec_s_pw_mod, &
	214	ONLY: advec_s_pw
	215
	216	USE advec_s_up_mod, &
	217	ONLY: advec_s_up
	218
	219	USE advec_u_pw_mod, &
	220	ONLY: advec_u_pw
	221
	222	USE advec_u_up_mod, &
	223	ONLY: advec_u_up
	224
	225	USE advec_v_pw_mod, &
	226	ONLY: advec_v_pw
	227
	228	USE advec_v_up_mod, &
	229	ONLY: advec_v_up
	230
	231	USE advec_w_pw_mod, &
	232	ONLY: advec_w_pw
	233
	234	USE advec_w_up_mod, &
	235	ONLY: advec_w_up
	236
	237	USE buoyancy_mod, &
	238	ONLY: buoyancy, buoyancy_acc
	239
	240	USE calc_precipitation_mod, &
	241	ONLY: calc_precipitation
	242
	243	USE calc_radiation_mod, &
	244	ONLY: calc_radiation
	245
	246	USE coriolis_mod, &
	247	ONLY: coriolis, coriolis_acc
	248
	249	USE diffusion_e_mod, &
	250	ONLY: diffusion_e, diffusion_e_acc
	251
	252	USE diffusion_s_mod, &
	253	ONLY: diffusion_s, diffusion_s_acc
	254
	255	USE diffusion_u_mod, &
	256	ONLY: diffusion_u, diffusion_u_acc
	257
	258	USE diffusion_v_mod, &
	259	ONLY: diffusion_v, diffusion_v_acc
	260
	261	USE diffusion_w_mod, &
	262	ONLY: diffusion_w, diffusion_w_acc
	263
	264	USE impact_of_latent_heat_mod, &
	265	ONLY: impact_of_latent_heat
	266
	267	USE kinds
	268
[1365]	269	USE ls_forcing_mod, &
	270	ONLY: ls_advec
	271
[1320]	272	USE microphysics_mod, &
	273	ONLY: microphysics_control
	274
	275	USE nudge_mod, &
	276	ONLY: nudge
	277
	278	USE plant_canopy_model_mod, &
[1484]	279	ONLY: cthf, plant_canopy, plant_canopy_model
[1320]	280
	281	USE production_e_mod, &
	282	ONLY: production_e, production_e_acc
	283
[1585]	284	USE radiation_model_mod, &
	285	ONLY: radiation, radiation_scheme, radiation_tendency
	286
[1374]	287	USE statistics, &
	288	ONLY: hom
	289
[1320]	290	USE subsidence_mod, &
	291	ONLY: subsidence
	292
	293	USE user_actions_mod, &
	294	ONLY: user_actions
	295
	296
[736]	297	PRIVATE
[1019]	298	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	299	prognostic_equations_acc
[736]	300
	301	INTERFACE prognostic_equations_cache
	302	MODULE PROCEDURE prognostic_equations_cache
	303	END INTERFACE prognostic_equations_cache
	304
	305	INTERFACE prognostic_equations_vector
	306	MODULE PROCEDURE prognostic_equations_vector
	307	END INTERFACE prognostic_equations_vector
	308
[1015]	309	INTERFACE prognostic_equations_acc
	310	MODULE PROCEDURE prognostic_equations_acc
	311	END INTERFACE prognostic_equations_acc
[736]	312
[1015]	313
[736]	314	CONTAINS
	315
	316
	317	!------------------------------------------------------------------------------!
[1682]	318	! Description:
	319	! ------------
	320	!> Version with one optimized loop over all equations. It is only allowed to
	321	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	322	!>
	323	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	324	!> so communication between CPUs is not allowed (does not make sense) within
	325	!> these loops.
	326	!>
	327	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
[736]	328	!------------------------------------------------------------------------------!
[1682]	329
	330	SUBROUTINE prognostic_equations_cache
[736]	331
[1682]	332
[736]	333	IMPLICIT NONE
	334
[1682]	335	INTEGER(iwp) :: i !<
	336	INTEGER(iwp) :: i_omp_start !<
	337	INTEGER(iwp) :: j !<
	338	INTEGER(iwp) :: k !<
	339	INTEGER(iwp) :: omp_get_thread_num !<
	340	INTEGER(iwp) :: tn = 0 !<
[1320]	341
[1682]	342	LOGICAL :: loop_start !<
[736]	343
	344
	345	!
	346	!-- Time measurement can only be performed for the whole set of equations
	347	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	348
	349	!
	350	!-- Loop over all prognostic equations
	351	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	352
	353	!$ tn = omp_get_thread_num()
	354	loop_start = .TRUE.
	355	!$OMP DO
	356	DO i = nxl, nxr
	357
	358	!
	359	!-- Store the first loop index. It differs for each thread and is required
	360	!-- later in advec_ws
	361	IF ( loop_start ) THEN
	362	loop_start = .FALSE.
	363	i_omp_start = i
	364	ENDIF
[1365]	365
[736]	366	DO j = nys, nyn
	367	!
[1361]	368	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	369	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	370	( intermediate_timestep_count == 1 .OR. &
	371	call_microphysics_at_all_substeps ) &
	372	) THEN
	373	CALL microphysics_control( i, j )
	374	ENDIF
	375	!
[736]	376	!-- Tendency terms for u-velocity component
	377	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	378
[1337]	379	tend(:,j,i) = 0.0_wp
[1001]	380	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	381	IF ( ws_scheme_mom ) THEN
[1409]	382	CALL advec_u_ws( i, j, i_omp_start, tn )
[736]	383	ELSE
	384	CALL advec_u_pw( i, j )
	385	ENDIF
	386	ELSE
	387	CALL advec_u_up( i, j )
	388	ENDIF
[1001]	389	CALL diffusion_u( i, j )
[736]	390	CALL coriolis( i, j, 1 )
[940]	391	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	392	CALL buoyancy( i, j, pt, 1 )
[940]	393	ENDIF
[736]	394
	395	!
	396	!-- Drag by plant canopy
	397	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 1 )
	398
	399	!
	400	!-- External pressure gradient
	401	IF ( dp_external ) THEN
	402	DO k = dp_level_ind_b+1, nzt
	403	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	404	ENDDO
	405	ENDIF
	406
[1241]	407	!
	408	!-- Nudging
	409	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	410
[736]	411	CALL user_actions( i, j, 'u-tendency' )
	412	!
	413	!-- Prognostic equation for u-velocity component
	414	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	415	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	416	tsc(3) * tu_m(k,j,i) ) &
[1398]	417	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[736]	418	ENDDO
	419
	420	!
	421	!-- Calculate tendencies for the next Runge-Kutta step
	422	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	423	IF ( intermediate_timestep_count == 1 ) THEN
	424	DO k = nzb_u_inner(j,i)+1, nzt
	425	tu_m(k,j,i) = tend(k,j,i)
	426	ENDDO
	427	ELSEIF ( intermediate_timestep_count < &
	428	intermediate_timestep_count_max ) THEN
	429	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	430	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	431	ENDDO
	432	ENDIF
	433	ENDIF
	434
	435	ENDIF
	436
	437	!
	438	!-- Tendency terms for v-velocity component
	439	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	440
[1337]	441	tend(:,j,i) = 0.0_wp
[1001]	442	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	443	IF ( ws_scheme_mom ) THEN
	444	CALL advec_v_ws( i, j, i_omp_start, tn )
	445	ELSE
	446	CALL advec_v_pw( i, j )
	447	ENDIF
	448	ELSE
	449	CALL advec_v_up( i, j )
	450	ENDIF
[1001]	451	CALL diffusion_v( i, j )
[736]	452	CALL coriolis( i, j, 2 )
	453
	454	!
	455	!-- Drag by plant canopy
	456	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 2 )
	457
	458	!
	459	!-- External pressure gradient
	460	IF ( dp_external ) THEN
	461	DO k = dp_level_ind_b+1, nzt
	462	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	463	ENDDO
	464	ENDIF
	465
[1241]	466	!
	467	!-- Nudging
	468	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	469
[736]	470	CALL user_actions( i, j, 'v-tendency' )
	471	!
	472	!-- Prognostic equation for v-velocity component
	473	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	474	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	475	tsc(3) * tv_m(k,j,i) ) &
[1398]	476	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[736]	477	ENDDO
	478
	479	!
	480	!-- Calculate tendencies for the next Runge-Kutta step
	481	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	482	IF ( intermediate_timestep_count == 1 ) THEN
	483	DO k = nzb_v_inner(j,i)+1, nzt
	484	tv_m(k,j,i) = tend(k,j,i)
	485	ENDDO
	486	ELSEIF ( intermediate_timestep_count < &
	487	intermediate_timestep_count_max ) THEN
	488	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	489	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	490	ENDDO
	491	ENDIF
	492	ENDIF
	493
	494	ENDIF
	495
	496	!
	497	!-- Tendency terms for w-velocity component
[1337]	498	tend(:,j,i) = 0.0_wp
[1001]	499	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	500	IF ( ws_scheme_mom ) THEN
	501	CALL advec_w_ws( i, j, i_omp_start, tn )
	502	ELSE
	503	CALL advec_w_pw( i, j )
	504	END IF
	505	ELSE
	506	CALL advec_w_up( i, j )
	507	ENDIF
[1001]	508	CALL diffusion_w( i, j )
[736]	509	CALL coriolis( i, j, 3 )
[940]	510
	511	IF ( .NOT. neutral ) THEN
	512	IF ( ocean ) THEN
[1179]	513	CALL buoyancy( i, j, rho, 3 )
[736]	514	ELSE
[940]	515	IF ( .NOT. humidity ) THEN
[1179]	516	CALL buoyancy( i, j, pt, 3 )
[940]	517	ELSE
[1179]	518	CALL buoyancy( i, j, vpt, 3 )
[940]	519	ENDIF
[736]	520	ENDIF
	521	ENDIF
	522
	523	!
	524	!-- Drag by plant canopy
	525	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 3 )
	526
	527	CALL user_actions( i, j, 'w-tendency' )
	528
	529	!
	530	!-- Prognostic equation for w-velocity component
	531	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	532	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	533	tsc(3) * tw_m(k,j,i) ) &
	534	- tsc(5) * rdf(k) * w(k,j,i)
[736]	535	ENDDO
	536
	537	!
	538	!-- Calculate tendencies for the next Runge-Kutta step
	539	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	540	IF ( intermediate_timestep_count == 1 ) THEN
	541	DO k = nzb_w_inner(j,i)+1, nzt-1
	542	tw_m(k,j,i) = tend(k,j,i)
	543	ENDDO
	544	ELSEIF ( intermediate_timestep_count < &
	545	intermediate_timestep_count_max ) THEN
	546	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	547	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	548	ENDDO
	549	ENDIF
	550	ENDIF
[1361]	551
[736]	552	!
[940]	553	!-- If required, compute prognostic equation for potential temperature
	554	IF ( .NOT. neutral ) THEN
	555	!
	556	!-- Tendency terms for potential temperature
[1337]	557	tend(:,j,i) = 0.0_wp
[1001]	558	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	559	IF ( ws_scheme_sca ) THEN
	560	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	561	flux_l_pt, diss_l_pt, i_omp_start, tn )
	562	ELSE
	563	CALL advec_s_pw( i, j, pt )
	564	ENDIF
	565	ELSE
	566	CALL advec_s_up( i, j, pt )
	567	ENDIF
[1001]	568	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
[736]	569
	570	!
[940]	571	!-- If required compute heating/cooling due to long wave radiation
	572	!-- processes
[1496]	573	IF ( cloud_top_radiation ) THEN
[940]	574	CALL calc_radiation( i, j )
	575	ENDIF
[736]	576
[1106]	577	!
[1361]	578	!-- If required compute impact of latent heat due to precipitation
	579	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	580	precipitation ) THEN
	581	CALL impact_of_latent_heat( i, j )
[940]	582	ENDIF
[736]	583
	584	!
[940]	585	!-- Consideration of heat sources within the plant canopy
[1337]	586	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
[940]	587	CALL plant_canopy_model( i, j, 4 )
	588	ENDIF
[736]	589
[940]	590	!
[1365]	591	!-- Large scale advection
	592	IF ( large_scale_forcing ) THEN
	593	CALL ls_advec( i, j, simulated_time, 'pt' )
	594	ENDIF
	595
	596	!
[1380]	597	!-- Nudging
	598	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	599
	600	!
[1106]	601	!-- If required, compute effect of large-scale subsidence/ascent
[1365]	602	IF ( large_scale_subsidence .AND. &
	603	.NOT. use_subsidence_tendencies ) THEN
	604	CALL subsidence( i, j, tend, pt, pt_init, 2 )
[940]	605	ENDIF
[736]	606
[1585]	607	!
	608	!-- If required, add tendency due to radiative heating/cooling
	609	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
	610	CALL radiation_tendency ( i, j, tend )
	611	ENDIF
	612
	613
[940]	614	CALL user_actions( i, j, 'pt-tendency' )
[736]	615
	616	!
[940]	617	!-- Prognostic equation for potential temperature
	618	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	619	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	620	tsc(3) * tpt_m(k,j,i) ) &
	621	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	622	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	623	ENDDO
[736]	624
	625	!
[940]	626	!-- Calculate tendencies for the next Runge-Kutta step
	627	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	628	IF ( intermediate_timestep_count == 1 ) THEN
	629	DO k = nzb_s_inner(j,i)+1, nzt
	630	tpt_m(k,j,i) = tend(k,j,i)
	631	ENDDO
	632	ELSEIF ( intermediate_timestep_count < &
	633	intermediate_timestep_count_max ) THEN
	634	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	635	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	636	5.3125_wp * tpt_m(k,j,i)
[940]	637	ENDDO
	638	ENDIF
[736]	639	ENDIF
[940]	640
[736]	641	ENDIF
	642
	643	!
	644	!-- If required, compute prognostic equation for salinity
	645	IF ( ocean ) THEN
	646
	647	!
	648	!-- Tendency-terms for salinity
[1337]	649	tend(:,j,i) = 0.0_wp
[1001]	650	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	651	THEN
	652	IF ( ws_scheme_sca ) THEN
	653	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	654	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	655	ELSE
	656	CALL advec_s_pw( i, j, sa )
	657	ENDIF
	658	ELSE
	659	CALL advec_s_up( i, j, sa )
	660	ENDIF
[1001]	661	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
[736]	662
	663	CALL user_actions( i, j, 'sa-tendency' )
	664
	665	!
	666	!-- Prognostic equation for salinity
	667	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	668	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	669	tsc(3) * tsa_m(k,j,i) ) &
	670	- tsc(5) * rdf_sc(k) * &
	671	( sa(k,j,i) - sa_init(k) )
[1337]	672	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	673	ENDDO
	674
	675	!
	676	!-- Calculate tendencies for the next Runge-Kutta step
	677	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	678	IF ( intermediate_timestep_count == 1 ) THEN
	679	DO k = nzb_s_inner(j,i)+1, nzt
	680	tsa_m(k,j,i) = tend(k,j,i)
	681	ENDDO
	682	ELSEIF ( intermediate_timestep_count < &
	683	intermediate_timestep_count_max ) THEN
	684	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	685	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	686	5.3125_wp * tsa_m(k,j,i)
[736]	687	ENDDO
	688	ENDIF
	689	ENDIF
	690
	691	!
	692	!-- Calculate density by the equation of state for seawater
	693	CALL eqn_state_seawater( i, j )
	694
	695	ENDIF
	696
	697	!
	698	!-- If required, compute prognostic equation for total water content /
	699	!-- scalar
	700	IF ( humidity .OR. passive_scalar ) THEN
	701
	702	!
	703	!-- Tendency-terms for total water content / scalar
[1337]	704	tend(:,j,i) = 0.0_wp
[1001]	705	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	706	THEN
	707	IF ( ws_scheme_sca ) THEN
	708	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	709	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	710	ELSE
	711	CALL advec_s_pw( i, j, q )
	712	ENDIF
	713	ELSE
	714	CALL advec_s_up( i, j, q )
	715	ENDIF
[1001]	716	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
[1053]	717
[736]	718	!
[1361]	719	!-- If required compute decrease of total water content due to
	720	!-- precipitation
	721	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	722	precipitation ) THEN
	723	CALL calc_precipitation( i, j )
[736]	724	ENDIF
	725	!
	726	!-- Sink or source of scalar concentration due to canopy elements
[1106]	727	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 5 )
[736]	728
[1053]	729	!
[1365]	730	!-- Large scale advection
	731	IF ( large_scale_forcing ) THEN
	732	CALL ls_advec( i, j, simulated_time, 'q' )
	733	ENDIF
	734
	735	!
[1380]	736	!-- Nudging
	737	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	738
	739	!
[736]	740	!-- If required compute influence of large-scale subsidence/ascent
[1365]	741	IF ( large_scale_subsidence .AND. &
	742	.NOT. use_subsidence_tendencies ) THEN
	743	CALL subsidence( i, j, tend, q, q_init, 3 )
[736]	744	ENDIF
	745
	746	CALL user_actions( i, j, 'q-tendency' )
	747
	748	!
	749	!-- Prognostic equation for total water content / scalar
	750	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	751	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	752	tsc(3) * tq_m(k,j,i) ) &
	753	- tsc(5) * rdf_sc(k) * &
	754	( q(k,j,i) - q_init(k) )
[1337]	755	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	756	ENDDO
	757
	758	!
	759	!-- Calculate tendencies for the next Runge-Kutta step
	760	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	761	IF ( intermediate_timestep_count == 1 ) THEN
	762	DO k = nzb_s_inner(j,i)+1, nzt
	763	tq_m(k,j,i) = tend(k,j,i)
	764	ENDDO
	765	ELSEIF ( intermediate_timestep_count < &
	766	intermediate_timestep_count_max ) THEN
	767	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	768	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	769	5.3125_wp * tq_m(k,j,i)
[736]	770	ENDDO
	771	ENDIF
	772	ENDIF
	773
[1053]	774	!
	775	!-- If required, calculate prognostic equations for rain water content
	776	!-- and rain drop concentration
[1115]	777	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	778	precipitation ) THEN
[1053]	779	!
	780	!-- Calculate prognostic equation for rain water content
[1337]	781	tend(:,j,i) = 0.0_wp
[1053]	782	IF ( timestep_scheme(1:5) == 'runge' ) &
	783	THEN
	784	IF ( ws_scheme_sca ) THEN
	785	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	786	diss_s_qr, flux_l_qr, diss_l_qr, &
	787	i_omp_start, tn )
	788	ELSE
	789	CALL advec_s_pw( i, j, qr )
	790	ENDIF
	791	ELSE
	792	CALL advec_s_up( i, j, qr )
	793	ENDIF
	794	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	795
[1115]	796	CALL user_actions( i, j, 'qr-tendency' )
[1053]	797	!
	798	!-- Prognostic equation for rain water content
	799	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	800	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	801	tsc(3) * tqr_m(k,j,i) ) &
	802	- tsc(5) * rdf_sc(k) * qr(k,j,i)
[1337]	803	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
[1053]	804	ENDDO
	805	!
	806	!-- Calculate tendencies for the next Runge-Kutta step
	807	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	808	IF ( intermediate_timestep_count == 1 ) THEN
	809	DO k = nzb_s_inner(j,i)+1, nzt
	810	tqr_m(k,j,i) = tend(k,j,i)
	811	ENDDO
	812	ELSEIF ( intermediate_timestep_count < &
	813	intermediate_timestep_count_max ) THEN
	814	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	815	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	816	5.3125_wp * tqr_m(k,j,i)
[1053]	817	ENDDO
	818	ENDIF
	819	ENDIF
	820
	821	!
	822	!-- Calculate prognostic equation for rain drop concentration.
[1337]	823	tend(:,j,i) = 0.0_wp
[1053]	824	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	825	IF ( ws_scheme_sca ) THEN
[1115]	826	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	827	diss_s_nr, flux_l_nr, diss_l_nr, &
	828	i_omp_start, tn )
[1053]	829	ELSE
	830	CALL advec_s_pw( i, j, nr )
	831	ENDIF
	832	ELSE
	833	CALL advec_s_up( i, j, nr )
	834	ENDIF
	835	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	836
[1115]	837	CALL user_actions( i, j, 'nr-tendency' )
[1053]	838	!
	839	!-- Prognostic equation for rain drop concentration
	840	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	841	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	842	tsc(3) * tnr_m(k,j,i) ) &
	843	- tsc(5) * rdf_sc(k) * nr(k,j,i)
[1337]	844	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
[1053]	845	ENDDO
	846	!
	847	!-- Calculate tendencies for the next Runge-Kutta step
	848	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	849	IF ( intermediate_timestep_count == 1 ) THEN
	850	DO k = nzb_s_inner(j,i)+1, nzt
	851	tnr_m(k,j,i) = tend(k,j,i)
	852	ENDDO
	853	ELSEIF ( intermediate_timestep_count < &
	854	intermediate_timestep_count_max ) THEN
	855	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	856	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	857	5.3125_wp * tnr_m(k,j,i)
[1053]	858	ENDDO
	859	ENDIF
	860	ENDIF
	861
	862	ENDIF
	863
[1128]	864	ENDIF
	865
[736]	866	!
	867	!-- If required, compute prognostic equation for turbulent kinetic
	868	!-- energy (TKE)
	869	IF ( .NOT. constant_diffusion ) THEN
	870
	871	!
	872	!-- Tendency-terms for TKE
[1337]	873	tend(:,j,i) = 0.0_wp
[1332]	874	IF ( timestep_scheme(1:5) == 'runge' &
	875	.AND. .NOT. use_upstream_for_tke ) THEN
[736]	876	IF ( ws_scheme_sca ) THEN
[1001]	877	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	878	flux_l_e, diss_l_e , i_omp_start, tn )
[736]	879	ELSE
	880	CALL advec_s_pw( i, j, e )
	881	ENDIF
	882	ELSE
	883	CALL advec_s_up( i, j, e )
	884	ENDIF
[1001]	885	IF ( .NOT. humidity ) THEN
	886	IF ( ocean ) THEN
	887	CALL diffusion_e( i, j, prho, prho_reference )
[736]	888	ELSE
[1001]	889	CALL diffusion_e( i, j, pt, pt_reference )
[736]	890	ENDIF
	891	ELSE
[1001]	892	CALL diffusion_e( i, j, vpt, pt_reference )
[736]	893	ENDIF
	894	CALL production_e( i, j )
	895
	896	!
	897	!-- Additional sink term for flows through plant canopies
	898	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 6 )
	899
	900	CALL user_actions( i, j, 'e-tendency' )
	901
	902	!
	903	!-- Prognostic equation for TKE.
	904	!-- Eliminate negative TKE values, which can occur due to numerical
	905	!-- reasons in the course of the integration. In such cases the old
	906	!-- TKE value is reduced by 90%.
	907	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	908	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	909	tsc(3) * te_m(k,j,i) )
[1337]	910	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	911	ENDDO
	912
	913	!
	914	!-- Calculate tendencies for the next Runge-Kutta step
	915	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	916	IF ( intermediate_timestep_count == 1 ) THEN
	917	DO k = nzb_s_inner(j,i)+1, nzt
	918	te_m(k,j,i) = tend(k,j,i)
	919	ENDDO
	920	ELSEIF ( intermediate_timestep_count < &
	921	intermediate_timestep_count_max ) THEN
	922	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	923	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	924	5.3125_wp * te_m(k,j,i)
[736]	925	ENDDO
	926	ENDIF
	927	ENDIF
	928
	929	ENDIF ! TKE equation
	930
	931	ENDDO
	932	ENDDO
	933	!$OMP END PARALLEL
	934
	935	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	936
	937
	938	END SUBROUTINE prognostic_equations_cache
	939
	940
	941	!------------------------------------------------------------------------------!
[1682]	942	! Description:
	943	! ------------
	944	!> Version for vector machines
[736]	945	!------------------------------------------------------------------------------!
[1682]	946
	947	SUBROUTINE prognostic_equations_vector
[736]	948
[1682]	949
[736]	950	IMPLICIT NONE
	951
[1682]	952	INTEGER(iwp) :: i !<
	953	INTEGER(iwp) :: j !<
	954	INTEGER(iwp) :: k !<
[736]	955
[1682]	956	REAL(wp) :: sbt !<
[736]	957
[1320]	958
[736]	959	!
[1361]	960	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	961	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	962	( intermediate_timestep_count == 1 .OR. &
	963	call_microphysics_at_all_substeps ) &
	964	) THEN
	965	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	966	CALL microphysics_control
	967	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	968	ENDIF
	969
	970	!
[736]	971	!-- u-velocity component
	972	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	973
[1337]	974	tend = 0.0_wp
[1001]	975	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	976	IF ( ws_scheme_mom ) THEN
	977	CALL advec_u_ws
	978	ELSE
	979	CALL advec_u_pw
	980	ENDIF
	981	ELSE
[1001]	982	CALL advec_u_up
[736]	983	ENDIF
[1001]	984	CALL diffusion_u
[736]	985	CALL coriolis( 1 )
[940]	986	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	987	CALL buoyancy( pt, 1 )
[940]	988	ENDIF
[736]	989
	990	!
	991	!-- Drag by plant canopy
	992	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	993
	994	!
	995	!-- External pressure gradient
	996	IF ( dp_external ) THEN
	997	DO i = nxlu, nxr
	998	DO j = nys, nyn
	999	DO k = dp_level_ind_b+1, nzt
	1000	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1001	ENDDO
	1002	ENDDO
	1003	ENDDO
	1004	ENDIF
	1005
[1241]	1006	!
	1007	!-- Nudging
	1008	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1009
[736]	1010	CALL user_actions( 'u-tendency' )
	1011
	1012	!
	1013	!-- Prognostic equation for u-velocity component
	1014	DO i = nxlu, nxr
	1015	DO j = nys, nyn
	1016	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	1017	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1018	tsc(3) * tu_m(k,j,i) ) &
[1398]	1019	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[736]	1020	ENDDO
	1021	ENDDO
	1022	ENDDO
	1023
	1024	!
	1025	!-- Calculate tendencies for the next Runge-Kutta step
	1026	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1027	IF ( intermediate_timestep_count == 1 ) THEN
	1028	DO i = nxlu, nxr
	1029	DO j = nys, nyn
	1030	DO k = nzb_u_inner(j,i)+1, nzt
	1031	tu_m(k,j,i) = tend(k,j,i)
	1032	ENDDO
	1033	ENDDO
	1034	ENDDO
	1035	ELSEIF ( intermediate_timestep_count < &
	1036	intermediate_timestep_count_max ) THEN
	1037	DO i = nxlu, nxr
	1038	DO j = nys, nyn
	1039	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	1040	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	1041	ENDDO
	1042	ENDDO
	1043	ENDDO
	1044	ENDIF
	1045	ENDIF
	1046
	1047	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1048
	1049	!
	1050	!-- v-velocity component
	1051	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1052
[1337]	1053	tend = 0.0_wp
[1001]	1054	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1055	IF ( ws_scheme_mom ) THEN
	1056	CALL advec_v_ws
	1057	ELSE
	1058	CALL advec_v_pw
	1059	END IF
	1060	ELSE
[1001]	1061	CALL advec_v_up
[736]	1062	ENDIF
[1001]	1063	CALL diffusion_v
[736]	1064	CALL coriolis( 2 )
	1065
	1066	!
	1067	!-- Drag by plant canopy
	1068	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1069
	1070	!
	1071	!-- External pressure gradient
	1072	IF ( dp_external ) THEN
	1073	DO i = nxl, nxr
	1074	DO j = nysv, nyn
	1075	DO k = dp_level_ind_b+1, nzt
	1076	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1077	ENDDO
	1078	ENDDO
	1079	ENDDO
	1080	ENDIF
	1081
[1241]	1082	!
	1083	!-- Nudging
	1084	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1085
[736]	1086	CALL user_actions( 'v-tendency' )
	1087
	1088	!
	1089	!-- Prognostic equation for v-velocity component
	1090	DO i = nxl, nxr
	1091	DO j = nysv, nyn
	1092	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	1093	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1094	tsc(3) * tv_m(k,j,i) ) &
[1398]	1095	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[736]	1096	ENDDO
	1097	ENDDO
	1098	ENDDO
	1099
	1100	!
	1101	!-- Calculate tendencies for the next Runge-Kutta step
	1102	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1103	IF ( intermediate_timestep_count == 1 ) THEN
	1104	DO i = nxl, nxr
	1105	DO j = nysv, nyn
	1106	DO k = nzb_v_inner(j,i)+1, nzt
	1107	tv_m(k,j,i) = tend(k,j,i)
	1108	ENDDO
	1109	ENDDO
	1110	ENDDO
	1111	ELSEIF ( intermediate_timestep_count < &
	1112	intermediate_timestep_count_max ) THEN
	1113	DO i = nxl, nxr
	1114	DO j = nysv, nyn
	1115	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	1116	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	1117	ENDDO
	1118	ENDDO
	1119	ENDDO
	1120	ENDIF
	1121	ENDIF
	1122
	1123	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1124
	1125	!
	1126	!-- w-velocity component
	1127	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1128
[1353]	1129	tend = 0.0_wp
[1001]	1130	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1131	IF ( ws_scheme_mom ) THEN
	1132	CALL advec_w_ws
	1133	ELSE
	1134	CALL advec_w_pw
	1135	ENDIF
	1136	ELSE
[1001]	1137	CALL advec_w_up
[736]	1138	ENDIF
[1001]	1139	CALL diffusion_w
[736]	1140	CALL coriolis( 3 )
[940]	1141
	1142	IF ( .NOT. neutral ) THEN
	1143	IF ( ocean ) THEN
[1179]	1144	CALL buoyancy( rho, 3 )
[736]	1145	ELSE
[940]	1146	IF ( .NOT. humidity ) THEN
[1179]	1147	CALL buoyancy( pt, 3 )
[940]	1148	ELSE
[1179]	1149	CALL buoyancy( vpt, 3 )
[940]	1150	ENDIF
[736]	1151	ENDIF
	1152	ENDIF
	1153
	1154	!
	1155	!-- Drag by plant canopy
	1156	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1157
	1158	CALL user_actions( 'w-tendency' )
	1159
	1160	!
	1161	!-- Prognostic equation for w-velocity component
	1162	DO i = nxl, nxr
	1163	DO j = nys, nyn
	1164	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	1165	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1166	tsc(3) * tw_m(k,j,i) ) &
	1167	- tsc(5) * rdf(k) * w(k,j,i)
[736]	1168	ENDDO
	1169	ENDDO
	1170	ENDDO
	1171
	1172	!
	1173	!-- Calculate tendencies for the next Runge-Kutta step
	1174	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1175	IF ( intermediate_timestep_count == 1 ) THEN
	1176	DO i = nxl, nxr
	1177	DO j = nys, nyn
	1178	DO k = nzb_w_inner(j,i)+1, nzt-1
	1179	tw_m(k,j,i) = tend(k,j,i)
	1180	ENDDO
	1181	ENDDO
	1182	ENDDO
	1183	ELSEIF ( intermediate_timestep_count < &
	1184	intermediate_timestep_count_max ) THEN
	1185	DO i = nxl, nxr
	1186	DO j = nys, nyn
	1187	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	1188	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	1189	ENDDO
	1190	ENDDO
	1191	ENDDO
	1192	ENDIF
	1193	ENDIF
	1194
	1195	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1196
[940]	1197
[736]	1198	!
[940]	1199	!-- If required, compute prognostic equation for potential temperature
	1200	IF ( .NOT. neutral ) THEN
[736]	1201
[940]	1202	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1203
[736]	1204	!
[940]	1205	!-- pt-tendency terms with communication
	1206	sbt = tsc(2)
	1207	IF ( scalar_advec == 'bc-scheme' ) THEN
[736]	1208
[940]	1209	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
[736]	1210	!
[1001]	1211	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1212	sbt = 1.0_wp
[940]	1213	ENDIF
[1337]	1214	tend = 0.0_wp
[940]	1215	CALL advec_s_bc( pt, 'pt' )
[1001]	1216
[736]	1217	ENDIF
[940]	1218
	1219	!
	1220	!-- pt-tendency terms with no communication
[1001]	1221	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1222	tend = 0.0_wp
[1001]	1223	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	1224	IF ( ws_scheme_sca ) THEN
	1225	CALL advec_s_ws( pt, 'pt' )
	1226	ELSE
	1227	CALL advec_s_pw( pt )
	1228	ENDIF
	1229	ELSE
[1001]	1230	CALL advec_s_up( pt )
[940]	1231	ENDIF
[736]	1232	ENDIF
	1233
[1001]	1234	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1235
[736]	1236	!
[940]	1237	!-- If required compute heating/cooling due to long wave radiation processes
[1496]	1238	IF ( cloud_top_radiation ) THEN
[940]	1239	CALL calc_radiation
	1240	ENDIF
[736]	1241
	1242	!
[940]	1243	!-- If required compute impact of latent heat due to precipitation
[1361]	1244	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[940]	1245	CALL impact_of_latent_heat
	1246	ENDIF
[736]	1247
	1248	!
[940]	1249	!-- Consideration of heat sources within the plant canopy
[1337]	1250	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[940]	1251	CALL plant_canopy_model( 4 )
	1252	ENDIF
[736]	1253
[940]	1254	!
[1365]	1255	!-- Large scale advection
	1256	IF ( large_scale_forcing ) THEN
	1257	CALL ls_advec( simulated_time, 'pt' )
	1258	ENDIF
	1259
	1260	!
[1380]	1261	!-- Nudging
	1262	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1263
	1264	!
[940]	1265	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1266	IF ( large_scale_subsidence .AND. &
	1267	.NOT. use_subsidence_tendencies ) THEN
	1268	CALL subsidence( tend, pt, pt_init, 2 )
[940]	1269	ENDIF
[736]	1270
[1585]	1271	!
	1272	!-- If required, add tendency due to radiative heating/cooling
	1273	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
	1274	CALL radiation_tendency ( tend )
	1275	ENDIF
	1276
[940]	1277	CALL user_actions( 'pt-tendency' )
[736]	1278
	1279	!
[940]	1280	!-- Prognostic equation for potential temperature
	1281	DO i = nxl, nxr
	1282	DO j = nys, nyn
	1283	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1284	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1285	tsc(3) * tpt_m(k,j,i) ) &
	1286	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1287	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	1288	ENDDO
[736]	1289	ENDDO
	1290	ENDDO
	1291
	1292	!
[940]	1293	!-- Calculate tendencies for the next Runge-Kutta step
	1294	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1295	IF ( intermediate_timestep_count == 1 ) THEN
	1296	DO i = nxl, nxr
	1297	DO j = nys, nyn
	1298	DO k = nzb_s_inner(j,i)+1, nzt
	1299	tpt_m(k,j,i) = tend(k,j,i)
	1300	ENDDO
[736]	1301	ENDDO
	1302	ENDDO
[940]	1303	ELSEIF ( intermediate_timestep_count < &
	1304	intermediate_timestep_count_max ) THEN
	1305	DO i = nxl, nxr
	1306	DO j = nys, nyn
	1307	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1308	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1309	5.3125_wp * tpt_m(k,j,i)
[940]	1310	ENDDO
[736]	1311	ENDDO
	1312	ENDDO
[940]	1313	ENDIF
[736]	1314	ENDIF
[940]	1315
	1316	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1317
[736]	1318	ENDIF
	1319
	1320	!
	1321	!-- If required, compute prognostic equation for salinity
	1322	IF ( ocean ) THEN
	1323
	1324	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1325
	1326	!
	1327	!-- sa-tendency terms with communication
	1328	sbt = tsc(2)
	1329	IF ( scalar_advec == 'bc-scheme' ) THEN
	1330
	1331	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1332	!
[1001]	1333	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1334	sbt = 1.0_wp
[736]	1335	ENDIF
[1337]	1336	tend = 0.0_wp
[736]	1337	CALL advec_s_bc( sa, 'sa' )
[1001]	1338
[736]	1339	ENDIF
	1340
	1341	!
	1342	!-- sa-tendency terms with no communication
[1001]	1343	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1353]	1344	tend = 0.0_wp
[1001]	1345	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1346	IF ( ws_scheme_sca ) THEN
	1347	CALL advec_s_ws( sa, 'sa' )
	1348	ELSE
	1349	CALL advec_s_pw( sa )
	1350	ENDIF
	1351	ELSE
[1001]	1352	CALL advec_s_up( sa )
[736]	1353	ENDIF
	1354	ENDIF
[1001]	1355
	1356	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[736]	1357
	1358	CALL user_actions( 'sa-tendency' )
	1359
	1360	!
	1361	!-- Prognostic equation for salinity
	1362	DO i = nxl, nxr
	1363	DO j = nys, nyn
	1364	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1365	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1366	tsc(3) * tsa_m(k,j,i) ) &
	1367	- tsc(5) * rdf_sc(k) * &
	1368	( sa(k,j,i) - sa_init(k) )
[1337]	1369	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	1370	ENDDO
	1371	ENDDO
	1372	ENDDO
	1373
	1374	!
	1375	!-- Calculate tendencies for the next Runge-Kutta step
	1376	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1377	IF ( intermediate_timestep_count == 1 ) THEN
	1378	DO i = nxl, nxr
	1379	DO j = nys, nyn
	1380	DO k = nzb_s_inner(j,i)+1, nzt
	1381	tsa_m(k,j,i) = tend(k,j,i)
	1382	ENDDO
	1383	ENDDO
	1384	ENDDO
	1385	ELSEIF ( intermediate_timestep_count < &
	1386	intermediate_timestep_count_max ) THEN
	1387	DO i = nxl, nxr
	1388	DO j = nys, nyn
	1389	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1390	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1391	5.3125_wp * tsa_m(k,j,i)
[736]	1392	ENDDO
	1393	ENDDO
	1394	ENDDO
	1395	ENDIF
	1396	ENDIF
	1397
	1398	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1399
	1400	!
	1401	!-- Calculate density by the equation of state for seawater
	1402	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1403	CALL eqn_state_seawater
	1404	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1405
	1406	ENDIF
	1407
	1408	!
	1409	!-- If required, compute prognostic equation for total water content / scalar
	1410	IF ( humidity .OR. passive_scalar ) THEN
	1411
	1412	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1413
	1414	!
	1415	!-- Scalar/q-tendency terms with communication
	1416	sbt = tsc(2)
	1417	IF ( scalar_advec == 'bc-scheme' ) THEN
	1418
	1419	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1420	!
[1001]	1421	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1422	sbt = 1.0_wp
[736]	1423	ENDIF
[1337]	1424	tend = 0.0_wp
[736]	1425	CALL advec_s_bc( q, 'q' )
[1001]	1426
[736]	1427	ENDIF
	1428
	1429	!
	1430	!-- Scalar/q-tendency terms with no communication
[1001]	1431	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1432	tend = 0.0_wp
[1001]	1433	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1434	IF ( ws_scheme_sca ) THEN
	1435	CALL advec_s_ws( q, 'q' )
	1436	ELSE
	1437	CALL advec_s_pw( q )
	1438	ENDIF
	1439	ELSE
[1001]	1440	CALL advec_s_up( q )
[736]	1441	ENDIF
	1442	ENDIF
[1001]	1443
	1444	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[736]	1445
	1446	!
	1447	!-- If required compute decrease of total water content due to
	1448	!-- precipitation
[1361]	1449	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[736]	1450	CALL calc_precipitation
	1451	ENDIF
	1452
	1453	!
	1454	!-- Sink or source of scalar concentration due to canopy elements
	1455	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
[1365]	1456
[736]	1457	!
[1365]	1458	!-- Large scale advection
	1459	IF ( large_scale_forcing ) THEN
	1460	CALL ls_advec( simulated_time, 'q' )
	1461	ENDIF
	1462
	1463	!
[1380]	1464	!-- Nudging
	1465	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1466
	1467	!
[736]	1468	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1469	IF ( large_scale_subsidence .AND. &
	1470	.NOT. use_subsidence_tendencies ) THEN
	1471	CALL subsidence( tend, q, q_init, 3 )
[736]	1472	ENDIF
	1473
	1474	CALL user_actions( 'q-tendency' )
	1475
	1476	!
	1477	!-- Prognostic equation for total water content / scalar
	1478	DO i = nxl, nxr
	1479	DO j = nys, nyn
	1480	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1481	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1482	tsc(3) * tq_m(k,j,i) ) &
	1483	- tsc(5) * rdf_sc(k) * &
	1484	( q(k,j,i) - q_init(k) )
[1337]	1485	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	1486	ENDDO
	1487	ENDDO
	1488	ENDDO
	1489
	1490	!
	1491	!-- Calculate tendencies for the next Runge-Kutta step
	1492	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1493	IF ( intermediate_timestep_count == 1 ) THEN
	1494	DO i = nxl, nxr
	1495	DO j = nys, nyn
	1496	DO k = nzb_s_inner(j,i)+1, nzt
	1497	tq_m(k,j,i) = tend(k,j,i)
	1498	ENDDO
	1499	ENDDO
	1500	ENDDO
	1501	ELSEIF ( intermediate_timestep_count < &
	1502	intermediate_timestep_count_max ) THEN
	1503	DO i = nxl, nxr
	1504	DO j = nys, nyn
	1505	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1506	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[736]	1507	ENDDO
	1508	ENDDO
	1509	ENDDO
	1510	ENDIF
	1511	ENDIF
	1512
	1513	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1514
[1361]	1515	!
	1516	!-- If required, calculate prognostic equations for rain water content
	1517	!-- and rain drop concentration
	1518	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	1519
	1520	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1521
	1522	!
	1523	!-- Calculate prognostic equation for rain water content
	1524	sbt = tsc(2)
	1525	IF ( scalar_advec == 'bc-scheme' ) THEN
	1526
	1527	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1528	!
	1529	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1530	sbt = 1.0_wp
	1531	ENDIF
	1532	tend = 0.0_wp
	1533	CALL advec_s_bc( qr, 'qr' )
	1534
	1535	ENDIF
	1536
	1537	!
	1538	!-- qr-tendency terms with no communication
	1539	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1540	tend = 0.0_wp
	1541	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1542	IF ( ws_scheme_sca ) THEN
	1543	CALL advec_s_ws( qr, 'qr' )
	1544	ELSE
	1545	CALL advec_s_pw( qr )
	1546	ENDIF
	1547	ELSE
	1548	CALL advec_s_up( qr )
	1549	ENDIF
	1550	ENDIF
	1551
	1552	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1553
	1554	CALL user_actions( 'qr-tendency' )
	1555
	1556	!
	1557	!-- Prognostic equation for rain water content
	1558	DO i = nxl, nxr
	1559	DO j = nys, nyn
	1560	DO k = nzb_s_inner(j,i)+1, nzt
	1561	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1562	tsc(3) * tqr_m(k,j,i) ) &
	1563	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1564	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1565	ENDDO
	1566	ENDDO
	1567	ENDDO
	1568
	1569	!
	1570	!-- Calculate tendencies for the next Runge-Kutta step
	1571	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1572	IF ( intermediate_timestep_count == 1 ) THEN
	1573	DO i = nxl, nxr
	1574	DO j = nys, nyn
	1575	DO k = nzb_s_inner(j,i)+1, nzt
	1576	tqr_m(k,j,i) = tend(k,j,i)
	1577	ENDDO
	1578	ENDDO
	1579	ENDDO
	1580	ELSEIF ( intermediate_timestep_count < &
	1581	intermediate_timestep_count_max ) THEN
	1582	DO i = nxl, nxr
	1583	DO j = nys, nyn
	1584	DO k = nzb_s_inner(j,i)+1, nzt
	1585	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1586	tqr_m(k,j,i)
	1587	ENDDO
	1588	ENDDO
	1589	ENDDO
	1590	ENDIF
	1591	ENDIF
	1592
	1593	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1594	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1595
	1596	!
	1597	!-- Calculate prognostic equation for rain drop concentration
	1598	sbt = tsc(2)
	1599	IF ( scalar_advec == 'bc-scheme' ) THEN
	1600
	1601	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1602	!
	1603	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1604	sbt = 1.0_wp
	1605	ENDIF
	1606	tend = 0.0_wp
	1607	CALL advec_s_bc( nr, 'nr' )
	1608
	1609	ENDIF
	1610
	1611	!
	1612	!-- nr-tendency terms with no communication
	1613	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1614	tend = 0.0_wp
	1615	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1616	IF ( ws_scheme_sca ) THEN
	1617	CALL advec_s_ws( nr, 'nr' )
	1618	ELSE
	1619	CALL advec_s_pw( nr )
	1620	ENDIF
	1621	ELSE
	1622	CALL advec_s_up( nr )
	1623	ENDIF
	1624	ENDIF
	1625
	1626	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1627
	1628	CALL user_actions( 'nr-tendency' )
	1629
	1630	!
	1631	!-- Prognostic equation for rain drop concentration
	1632	DO i = nxl, nxr
	1633	DO j = nys, nyn
	1634	DO k = nzb_s_inner(j,i)+1, nzt
	1635	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1636	tsc(3) * tnr_m(k,j,i) ) &
	1637	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1638	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1639	ENDDO
	1640	ENDDO
	1641	ENDDO
	1642
	1643	!
	1644	!-- Calculate tendencies for the next Runge-Kutta step
	1645	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1646	IF ( intermediate_timestep_count == 1 ) THEN
	1647	DO i = nxl, nxr
	1648	DO j = nys, nyn
	1649	DO k = nzb_s_inner(j,i)+1, nzt
	1650	tnr_m(k,j,i) = tend(k,j,i)
	1651	ENDDO
	1652	ENDDO
	1653	ENDDO
	1654	ELSEIF ( intermediate_timestep_count < &
	1655	intermediate_timestep_count_max ) THEN
	1656	DO i = nxl, nxr
	1657	DO j = nys, nyn
	1658	DO k = nzb_s_inner(j,i)+1, nzt
	1659	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1660	tnr_m(k,j,i)
	1661	ENDDO
	1662	ENDDO
	1663	ENDDO
	1664	ENDIF
	1665	ENDIF
	1666
	1667	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1668
	1669	ENDIF
	1670
[736]	1671	ENDIF
	1672
	1673	!
	1674	!-- If required, compute prognostic equation for turbulent kinetic
	1675	!-- energy (TKE)
	1676	IF ( .NOT. constant_diffusion ) THEN
	1677
	1678	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1679
	1680	sbt = tsc(2)
	1681	IF ( .NOT. use_upstream_for_tke ) THEN
	1682	IF ( scalar_advec == 'bc-scheme' ) THEN
	1683
	1684	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1685	!
[1001]	1686	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1687	sbt = 1.0_wp
[736]	1688	ENDIF
[1337]	1689	tend = 0.0_wp
[736]	1690	CALL advec_s_bc( e, 'e' )
[1001]	1691
[736]	1692	ENDIF
	1693	ENDIF
	1694
	1695	!
	1696	!-- TKE-tendency terms with no communication
[1001]	1697	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
[736]	1698	IF ( use_upstream_for_tke ) THEN
[1337]	1699	tend = 0.0_wp
[736]	1700	CALL advec_s_up( e )
	1701	ELSE
[1337]	1702	tend = 0.0_wp
[1001]	1703	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1704	IF ( ws_scheme_sca ) THEN
	1705	CALL advec_s_ws( e, 'e' )
	1706	ELSE
	1707	CALL advec_s_pw( e )
	1708	ENDIF
	1709	ELSE
[1001]	1710	CALL advec_s_up( e )
[736]	1711	ENDIF
	1712	ENDIF
[1001]	1713	ENDIF
	1714
	1715	IF ( .NOT. humidity ) THEN
	1716	IF ( ocean ) THEN
	1717	CALL diffusion_e( prho, prho_reference )
[736]	1718	ELSE
[1001]	1719	CALL diffusion_e( pt, pt_reference )
[736]	1720	ENDIF
[1001]	1721	ELSE
	1722	CALL diffusion_e( vpt, pt_reference )
[736]	1723	ENDIF
[1001]	1724
[736]	1725	CALL production_e
	1726
	1727	!
	1728	!-- Additional sink term for flows through plant canopies
	1729	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	1730	CALL user_actions( 'e-tendency' )
	1731
	1732	!
	1733	!-- Prognostic equation for TKE.
	1734	!-- Eliminate negative TKE values, which can occur due to numerical
	1735	!-- reasons in the course of the integration. In such cases the old TKE
	1736	!-- value is reduced by 90%.
	1737	DO i = nxl, nxr
	1738	DO j = nys, nyn
	1739	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1740	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1741	tsc(3) * te_m(k,j,i) )
[1337]	1742	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	1743	ENDDO
	1744	ENDDO
	1745	ENDDO
	1746
	1747	!
	1748	!-- Calculate tendencies for the next Runge-Kutta step
	1749	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1750	IF ( intermediate_timestep_count == 1 ) THEN
	1751	DO i = nxl, nxr
	1752	DO j = nys, nyn
	1753	DO k = nzb_s_inner(j,i)+1, nzt
	1754	te_m(k,j,i) = tend(k,j,i)
	1755	ENDDO
	1756	ENDDO
	1757	ENDDO
	1758	ELSEIF ( intermediate_timestep_count < &
	1759	intermediate_timestep_count_max ) THEN
	1760	DO i = nxl, nxr
	1761	DO j = nys, nyn
	1762	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1763	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[736]	1764	ENDDO
	1765	ENDDO
	1766	ENDDO
	1767	ENDIF
	1768	ENDIF
	1769
	1770	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1771
	1772	ENDIF
	1773
	1774	END SUBROUTINE prognostic_equations_vector
	1775
	1776
[1015]	1777	!------------------------------------------------------------------------------!
[1682]	1778	! Description:
	1779	! ------------
	1780	!> Version for accelerator boards
[1015]	1781	!------------------------------------------------------------------------------!
[1682]	1782
	1783	SUBROUTINE prognostic_equations_acc
[1015]	1784
[1682]	1785
[1015]	1786	IMPLICIT NONE
	1787
[1682]	1788	INTEGER(iwp) :: i !<
	1789	INTEGER(iwp) :: j !<
	1790	INTEGER(iwp) :: k !<
	1791	INTEGER(iwp) :: runge_step !<
[1015]	1792
[1682]	1793	REAL(wp) :: sbt !<
[1320]	1794
[1015]	1795	!
	1796	!-- Set switch for intermediate Runge-Kutta step
	1797	runge_step = 0
	1798	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1799	IF ( intermediate_timestep_count == 1 ) THEN
	1800	runge_step = 1
	1801	ELSEIF ( intermediate_timestep_count < &
	1802	intermediate_timestep_count_max ) THEN
	1803	runge_step = 2
	1804	ENDIF
	1805	ENDIF
	1806
	1807	!
[1361]	1808	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	1809	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	1810	( intermediate_timestep_count == 1 .OR. &
	1811	call_microphysics_at_all_substeps ) &
	1812	) THEN
	1813	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1814	CALL microphysics_control
	1815	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1816	ENDIF
	1817
	1818	!
[1015]	1819	!-- u-velocity component
[1374]	1820	!++ Statistics still not completely ported to accelerators
[1179]	1821	!$acc update device( hom, ref_state )
[1015]	1822	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1823
	1824	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1825	IF ( ws_scheme_mom ) THEN
	1826	CALL advec_u_ws_acc
	1827	ELSE
[1337]	1828	tend = 0.0_wp ! to be removed later??
[1015]	1829	CALL advec_u_pw
	1830	ENDIF
	1831	ELSE
	1832	CALL advec_u_up
	1833	ENDIF
	1834	CALL diffusion_u_acc
	1835	CALL coriolis_acc( 1 )
	1836	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	1837	CALL buoyancy( pt, 1 )
[1015]	1838	ENDIF
	1839
	1840	!
	1841	!-- Drag by plant canopy
	1842	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	1843
	1844	!
	1845	!-- External pressure gradient
	1846	IF ( dp_external ) THEN
[1128]	1847	DO i = i_left, i_right
	1848	DO j = j_south, j_north
[1015]	1849	DO k = dp_level_ind_b+1, nzt
	1850	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1851	ENDDO
	1852	ENDDO
	1853	ENDDO
	1854	ENDIF
	1855
[1246]	1856	!
	1857	!-- Nudging
	1858	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1859
[1015]	1860	CALL user_actions( 'u-tendency' )
	1861
	1862	!
	1863	!-- Prognostic equation for u-velocity component
[1398]	1864	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, u_init, u_p )
[1257]	1865	!$acc loop independent
[1128]	1866	DO i = i_left, i_right
[1257]	1867	!$acc loop independent
[1128]	1868	DO j = j_south, j_north
[1257]	1869	!$acc loop independent
[1015]	1870	DO k = 1, nzt
	1871	IF ( k > nzb_u_inner(j,i) ) THEN
	1872	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1873	tsc(3) * tu_m(k,j,i) ) &
[1398]	1874	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[1015]	1875	!
	1876	!-- Tendencies for the next Runge-Kutta step
	1877	IF ( runge_step == 1 ) THEN
	1878	tu_m(k,j,i) = tend(k,j,i)
	1879	ELSEIF ( runge_step == 2 ) THEN
[1337]	1880	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[1015]	1881	ENDIF
	1882	ENDIF
	1883	ENDDO
	1884	ENDDO
	1885	ENDDO
	1886	!$acc end kernels
	1887
	1888	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1889
	1890	!
	1891	!-- v-velocity component
	1892	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1893
	1894	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1895	IF ( ws_scheme_mom ) THEN
	1896	CALL advec_v_ws_acc
	1897	ELSE
[1337]	1898	tend = 0.0_wp ! to be removed later??
[1015]	1899	CALL advec_v_pw
	1900	END IF
	1901	ELSE
	1902	CALL advec_v_up
	1903	ENDIF
	1904	CALL diffusion_v_acc
	1905	CALL coriolis_acc( 2 )
	1906
	1907	!
	1908	!-- Drag by plant canopy
	1909	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1910
	1911	!
	1912	!-- External pressure gradient
	1913	IF ( dp_external ) THEN
[1128]	1914	DO i = i_left, i_right
	1915	DO j = j_south, j_north
[1015]	1916	DO k = dp_level_ind_b+1, nzt
	1917	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1918	ENDDO
	1919	ENDDO
	1920	ENDDO
	1921	ENDIF
	1922
[1246]	1923	!
	1924	!-- Nudging
	1925	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1926
[1015]	1927	CALL user_actions( 'v-tendency' )
	1928
	1929	!
	1930	!-- Prognostic equation for v-velocity component
[1398]	1931	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, v_init, v_p )
[1257]	1932	!$acc loop independent
[1128]	1933	DO i = i_left, i_right
[1257]	1934	!$acc loop independent
[1128]	1935	DO j = j_south, j_north
[1257]	1936	!$acc loop independent
[1015]	1937	DO k = 1, nzt
	1938	IF ( k > nzb_v_inner(j,i) ) THEN
	1939	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1940	tsc(3) * tv_m(k,j,i) ) &
[1398]	1941	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[1015]	1942	!
	1943	!-- Tendencies for the next Runge-Kutta step
	1944	IF ( runge_step == 1 ) THEN
	1945	tv_m(k,j,i) = tend(k,j,i)
	1946	ELSEIF ( runge_step == 2 ) THEN
[1337]	1947	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[1015]	1948	ENDIF
	1949	ENDIF
	1950	ENDDO
	1951	ENDDO
	1952	ENDDO
	1953	!$acc end kernels
	1954
	1955	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1956
	1957	!
	1958	!-- w-velocity component
	1959	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1960
	1961	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1962	IF ( ws_scheme_mom ) THEN
	1963	CALL advec_w_ws_acc
	1964	ELSE
[1337]	1965	tend = 0.0_wp ! to be removed later??
[1015]	1966	CALL advec_w_pw
	1967	ENDIF
	1968	ELSE
	1969	CALL advec_w_up
	1970	ENDIF
	1971	CALL diffusion_w_acc
	1972	CALL coriolis_acc( 3 )
	1973
	1974	IF ( .NOT. neutral ) THEN
	1975	IF ( ocean ) THEN
[1179]	1976	CALL buoyancy( rho, 3 )
[1015]	1977	ELSE
	1978	IF ( .NOT. humidity ) THEN
[1179]	1979	CALL buoyancy_acc( pt, 3 )
[1015]	1980	ELSE
[1179]	1981	CALL buoyancy( vpt, 3 )
[1015]	1982	ENDIF
	1983	ENDIF
	1984	ENDIF
	1985
	1986	!
	1987	!-- Drag by plant canopy
	1988	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1989
	1990	CALL user_actions( 'w-tendency' )
	1991
	1992	!
	1993	!-- Prognostic equation for w-velocity component
	1994	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
[1257]	1995	!$acc loop independent
[1128]	1996	DO i = i_left, i_right
[1257]	1997	!$acc loop independent
[1128]	1998	DO j = j_south, j_north
[1257]	1999	!$acc loop independent
[1015]	2000	DO k = 1, nzt-1
	2001	IF ( k > nzb_w_inner(j,i) ) THEN
	2002	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2003	tsc(3) * tw_m(k,j,i) ) &
	2004	- tsc(5) * rdf(k) * w(k,j,i)
	2005	!
	2006	!-- Tendencies for the next Runge-Kutta step
	2007	IF ( runge_step == 1 ) THEN
	2008	tw_m(k,j,i) = tend(k,j,i)
	2009	ELSEIF ( runge_step == 2 ) THEN
[1337]	2010	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[1015]	2011	ENDIF
	2012	ENDIF
	2013	ENDDO
	2014	ENDDO
	2015	ENDDO
	2016	!$acc end kernels
	2017
	2018	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	2019
	2020
	2021	!
	2022	!-- If required, compute prognostic equation for potential temperature
	2023	IF ( .NOT. neutral ) THEN
	2024
	2025	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	2026
	2027	!
	2028	!-- pt-tendency terms with communication
	2029	sbt = tsc(2)
	2030	IF ( scalar_advec == 'bc-scheme' ) THEN
	2031
	2032	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2033	!
	2034	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	2035	sbt = 1.0_wp
[1015]	2036	ENDIF
[1337]	2037	tend = 0.0_wp
[1015]	2038	CALL advec_s_bc( pt, 'pt' )
	2039
	2040	ENDIF
	2041
	2042	!
	2043	!-- pt-tendency terms with no communication
	2044	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2045	tend = 0.0_wp
[1015]	2046	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2047	IF ( ws_scheme_sca ) THEN
	2048	CALL advec_s_ws_acc( pt, 'pt' )
	2049	ELSE
[1337]	2050	tend = 0.0_wp ! to be removed later??
[1015]	2051	CALL advec_s_pw( pt )
	2052	ENDIF
	2053	ELSE
	2054	CALL advec_s_up( pt )
	2055	ENDIF
	2056	ENDIF
	2057
	2058	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2059
	2060	!
	2061	!-- If required compute heating/cooling due to long wave radiation processes
[1496]	2062	IF ( cloud_top_radiation ) THEN
[1015]	2063	CALL calc_radiation
	2064	ENDIF
	2065
	2066	!
	2067	!-- If required compute impact of latent heat due to precipitation
[1361]	2068	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2069	CALL impact_of_latent_heat
	2070	ENDIF
	2071
	2072	!
	2073	!-- Consideration of heat sources within the plant canopy
[1337]	2074	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[1015]	2075	CALL plant_canopy_model( 4 )
	2076	ENDIF
	2077
	2078	!
[1365]	2079	!-- Large scale advection
	2080	IF ( large_scale_forcing ) THEN
	2081	CALL ls_advec( simulated_time, 'pt' )
	2082	ENDIF
	2083
	2084	!
[1380]	2085	!-- Nudging
	2086	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2087
	2088	!
[1015]	2089	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2090	IF ( large_scale_subsidence .AND. &
	2091	.NOT. use_subsidence_tendencies ) THEN
	2092	CALL subsidence( tend, pt, pt_init, 2 )
[1015]	2093	ENDIF
	2094
	2095	CALL user_actions( 'pt-tendency' )
	2096
	2097	!
	2098	!-- Prognostic equation for potential temperature
	2099	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2100	!$acc present( tend, tpt_m, pt, pt_p )
[1257]	2101	!$acc loop independent
[1128]	2102	DO i = i_left, i_right
[1257]	2103	!$acc loop independent
[1128]	2104	DO j = j_south, j_north
[1257]	2105	!$acc loop independent
[1015]	2106	DO k = 1, nzt
	2107	IF ( k > nzb_s_inner(j,i) ) THEN
	2108	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2109	tsc(3) * tpt_m(k,j,i) ) &
	2110	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2111	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2112	!
	2113	!-- Tendencies for the next Runge-Kutta step
	2114	IF ( runge_step == 1 ) THEN
	2115	tpt_m(k,j,i) = tend(k,j,i)
	2116	ELSEIF ( runge_step == 2 ) THEN
[1337]	2117	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
[1015]	2118	ENDIF
	2119	ENDIF
	2120	ENDDO
	2121	ENDDO
	2122	ENDDO
	2123	!$acc end kernels
	2124
	2125	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2126
	2127	ENDIF
	2128
	2129	!
	2130	!-- If required, compute prognostic equation for salinity
	2131	IF ( ocean ) THEN
	2132
	2133	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2134
	2135	!
	2136	!-- sa-tendency terms with communication
	2137	sbt = tsc(2)
	2138	IF ( scalar_advec == 'bc-scheme' ) THEN
	2139
	2140	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2141	!
	2142	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2143	sbt = 1.0_wp
[1015]	2144	ENDIF
[1337]	2145	tend = 0.0_wp
[1015]	2146	CALL advec_s_bc( sa, 'sa' )
	2147
	2148	ENDIF
	2149
	2150	!
	2151	!-- sa-tendency terms with no communication
	2152	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2153	tend = 0.0_wp
[1015]	2154	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2155	IF ( ws_scheme_sca ) THEN
	2156	CALL advec_s_ws( sa, 'sa' )
	2157	ELSE
	2158	CALL advec_s_pw( sa )
	2159	ENDIF
	2160	ELSE
	2161	CALL advec_s_up( sa )
	2162	ENDIF
	2163	ENDIF
	2164
	2165	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2166
	2167	CALL user_actions( 'sa-tendency' )
	2168
	2169	!
	2170	!-- Prognostic equation for salinity
[1128]	2171	DO i = i_left, i_right
	2172	DO j = j_south, j_north
[1015]	2173	DO k = nzb_s_inner(j,i)+1, nzt
	2174	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2175	tsc(3) * tsa_m(k,j,i) ) &
	2176	- tsc(5) * rdf_sc(k) * &
	2177	( sa(k,j,i) - sa_init(k) )
[1337]	2178	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[1015]	2179	!
	2180	!-- Tendencies for the next Runge-Kutta step
	2181	IF ( runge_step == 1 ) THEN
	2182	tsa_m(k,j,i) = tend(k,j,i)
	2183	ELSEIF ( runge_step == 2 ) THEN
[1337]	2184	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
[1015]	2185	ENDIF
	2186	ENDDO
	2187	ENDDO
	2188	ENDDO
	2189
	2190	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2191
	2192	!
	2193	!-- Calculate density by the equation of state for seawater
	2194	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2195	CALL eqn_state_seawater
	2196	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2197
	2198	ENDIF
	2199
	2200	!
	2201	!-- If required, compute prognostic equation for total water content / scalar
	2202	IF ( humidity .OR. passive_scalar ) THEN
	2203
	2204	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2205
	2206	!
	2207	!-- Scalar/q-tendency terms with communication
	2208	sbt = tsc(2)
	2209	IF ( scalar_advec == 'bc-scheme' ) THEN
	2210
	2211	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2212	!
	2213	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2214	sbt = 1.0_wp
[1015]	2215	ENDIF
[1337]	2216	tend = 0.0_wp
[1015]	2217	CALL advec_s_bc( q, 'q' )
	2218
	2219	ENDIF
	2220
	2221	!
	2222	!-- Scalar/q-tendency terms with no communication
	2223	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2224	tend = 0.0_wp
[1015]	2225	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2226	IF ( ws_scheme_sca ) THEN
	2227	CALL advec_s_ws( q, 'q' )
	2228	ELSE
	2229	CALL advec_s_pw( q )
	2230	ENDIF
	2231	ELSE
	2232	CALL advec_s_up( q )
	2233	ENDIF
	2234	ENDIF
	2235
	2236	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2237
	2238	!
	2239	!-- If required compute decrease of total water content due to
	2240	!-- precipitation
[1361]	2241	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2242	CALL calc_precipitation
	2243	ENDIF
	2244
	2245	!
	2246	!-- Sink or source of scalar concentration due to canopy elements
	2247	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
	2248
	2249	!
[1365]	2250	!-- Large scale advection
	2251	IF ( large_scale_forcing ) THEN
	2252	CALL ls_advec( simulated_time, 'q' )
	2253	ENDIF
	2254
	2255	!
[1380]	2256	!-- Nudging
	2257	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2258
	2259	!
[1015]	2260	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2261	IF ( large_scale_subsidence .AND. &
	2262	.NOT. use_subsidence_tendencies ) THEN
	2263	CALL subsidence( tend, q, q_init, 3 )
[1015]	2264	ENDIF
	2265
	2266	CALL user_actions( 'q-tendency' )
	2267
	2268	!
	2269	!-- Prognostic equation for total water content / scalar
[1128]	2270	DO i = i_left, i_right
	2271	DO j = j_south, j_north
[1015]	2272	DO k = nzb_s_inner(j,i)+1, nzt
	2273	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2274	tsc(3) * tq_m(k,j,i) ) &
	2275	- tsc(5) * rdf_sc(k) * &
	2276	( q(k,j,i) - q_init(k) )
[1337]	2277	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[1015]	2278	!
	2279	!-- Tendencies for the next Runge-Kutta step
	2280	IF ( runge_step == 1 ) THEN
	2281	tq_m(k,j,i) = tend(k,j,i)
	2282	ELSEIF ( runge_step == 2 ) THEN
[1337]	2283	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[1015]	2284	ENDIF
	2285	ENDDO
	2286	ENDDO
	2287	ENDDO
	2288
	2289	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2290
[1361]	2291	!
	2292	!-- If required, calculate prognostic equations for rain water content
	2293	!-- and rain drop concentration
	2294	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	2295
	2296	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2297	!
	2298	!-- qr-tendency terms with communication
	2299	sbt = tsc(2)
	2300	IF ( scalar_advec == 'bc-scheme' ) THEN
	2301
	2302	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2303	!
	2304	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2305	sbt = 1.0_wp
	2306	ENDIF
	2307	tend = 0.0_wp
	2308	CALL advec_s_bc( qr, 'qr' )
	2309
	2310	ENDIF
	2311
	2312	!
	2313	!-- qr-tendency terms with no communication
	2314	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2315	tend = 0.0_wp
	2316	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2317	IF ( ws_scheme_sca ) THEN
	2318	CALL advec_s_ws( qr, 'qr' )
	2319	ELSE
	2320	CALL advec_s_pw( qr )
	2321	ENDIF
	2322	ELSE
	2323	CALL advec_s_up( qr )
	2324	ENDIF
	2325	ENDIF
	2326
	2327	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2328
	2329	CALL user_actions( 'qr-tendency' )
	2330
	2331	!
	2332	!-- Prognostic equation for rain water content
	2333	DO i = i_left, i_right
	2334	DO j = j_south, j_north
	2335	DO k = nzb_s_inner(j,i)+1, nzt
	2336	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2337	tsc(3) * tqr_m(k,j,i) ) &
	2338	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2339	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2340	!
	2341	!-- Tendencies for the next Runge-Kutta step
	2342	IF ( runge_step == 1 ) THEN
	2343	tqr_m(k,j,i) = tend(k,j,i)
	2344	ELSEIF ( runge_step == 2 ) THEN
	2345	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2346	tqr_m(k,j,i)
	2347	ENDIF
	2348	ENDDO
	2349	ENDDO
	2350	ENDDO
	2351
	2352	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2353	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2354
	2355	!
	2356	!-- nr-tendency terms with communication
	2357	sbt = tsc(2)
	2358	IF ( scalar_advec == 'bc-scheme' ) THEN
	2359
	2360	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2361	!
	2362	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2363	sbt = 1.0_wp
	2364	ENDIF
	2365	tend = 0.0_wp
	2366	CALL advec_s_bc( nr, 'nr' )
	2367
	2368	ENDIF
	2369
	2370	!
	2371	!-- nr-tendency terms with no communication
	2372	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2373	tend = 0.0_wp
	2374	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2375	IF ( ws_scheme_sca ) THEN
	2376	CALL advec_s_ws( nr, 'nr' )
	2377	ELSE
	2378	CALL advec_s_pw( nr )
	2379	ENDIF
	2380	ELSE
	2381	CALL advec_s_up( nr )
	2382	ENDIF
	2383	ENDIF
	2384
	2385	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2386
	2387	CALL user_actions( 'nr-tendency' )
	2388
	2389	!
	2390	!-- Prognostic equation for rain drop concentration
	2391	DO i = i_left, i_right
	2392	DO j = j_south, j_north
	2393	DO k = nzb_s_inner(j,i)+1, nzt
	2394	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2395	tsc(3) * tnr_m(k,j,i) ) &
	2396	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2397	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2398	!
	2399	!-- Tendencies for the next Runge-Kutta step
	2400	IF ( runge_step == 1 ) THEN
	2401	tnr_m(k,j,i) = tend(k,j,i)
	2402	ELSEIF ( runge_step == 2 ) THEN
	2403	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2404	tnr_m(k,j,i)
	2405	ENDIF
	2406	ENDDO
	2407	ENDDO
	2408	ENDDO
	2409
	2410	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2411
	2412	ENDIF
	2413
[1015]	2414	ENDIF
	2415
	2416	!
	2417	!-- If required, compute prognostic equation for turbulent kinetic
	2418	!-- energy (TKE)
	2419	IF ( .NOT. constant_diffusion ) THEN
	2420
	2421	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2422
	2423	sbt = tsc(2)
	2424	IF ( .NOT. use_upstream_for_tke ) THEN
	2425	IF ( scalar_advec == 'bc-scheme' ) THEN
	2426
	2427	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2428	!
	2429	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2430	sbt = 1.0_wp
[1015]	2431	ENDIF
[1337]	2432	tend = 0.0_wp
[1015]	2433	CALL advec_s_bc( e, 'e' )
	2434
	2435	ENDIF
	2436	ENDIF
	2437
	2438	!
	2439	!-- TKE-tendency terms with no communication
	2440	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2441	IF ( use_upstream_for_tke ) THEN
[1337]	2442	tend = 0.0_wp
[1015]	2443	CALL advec_s_up( e )
	2444	ELSE
	2445	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2446	IF ( ws_scheme_sca ) THEN
	2447	CALL advec_s_ws_acc( e, 'e' )
	2448	ELSE
[1337]	2449	tend = 0.0_wp ! to be removed later??
[1015]	2450	CALL advec_s_pw( e )
	2451	ENDIF
	2452	ELSE
[1337]	2453	tend = 0.0_wp ! to be removed later??
[1015]	2454	CALL advec_s_up( e )
	2455	ENDIF
	2456	ENDIF
	2457	ENDIF
	2458
	2459	IF ( .NOT. humidity ) THEN
	2460	IF ( ocean ) THEN
	2461	CALL diffusion_e( prho, prho_reference )
	2462	ELSE
	2463	CALL diffusion_e_acc( pt, pt_reference )
	2464	ENDIF
	2465	ELSE
	2466	CALL diffusion_e( vpt, pt_reference )
	2467	ENDIF
	2468
	2469	CALL production_e_acc
	2470
	2471	!
	2472	!-- Additional sink term for flows through plant canopies
	2473	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	2474	CALL user_actions( 'e-tendency' )
	2475
	2476	!
	2477	!-- Prognostic equation for TKE.
	2478	!-- Eliminate negative TKE values, which can occur due to numerical
	2479	!-- reasons in the course of the integration. In such cases the old TKE
	2480	!-- value is reduced by 90%.
	2481	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
[1257]	2482	!$acc loop independent
[1128]	2483	DO i = i_left, i_right
[1257]	2484	!$acc loop independent
[1128]	2485	DO j = j_south, j_north
[1257]	2486	!$acc loop independent
[1015]	2487	DO k = 1, nzt
	2488	IF ( k > nzb_s_inner(j,i) ) THEN
	2489	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2490	tsc(3) * te_m(k,j,i) )
[1337]	2491	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[1015]	2492	!
	2493	!-- Tendencies for the next Runge-Kutta step
	2494	IF ( runge_step == 1 ) THEN
	2495	te_m(k,j,i) = tend(k,j,i)
	2496	ELSEIF ( runge_step == 2 ) THEN
[1337]	2497	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[1015]	2498	ENDIF
	2499	ENDIF
	2500	ENDDO
	2501	ENDDO
	2502	ENDDO
	2503	!$acc end kernels
	2504
	2505	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2506
	2507	ENDIF
	2508
	2509	END SUBROUTINE prognostic_equations_acc
	2510
	2511
[736]	2512	END MODULE prognostic_equations_mod

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