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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1375

Last change on this file since 1375 was 1375, checked in by raasch, 10 years ago
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[736]	1	MODULE prognostic_equations_mod
	2
[1036]	3	!--------------------------------------------------------------------------------!
	4	! This file is part of PALM.
	5	!
	6	! PALM is free software: you can redistribute it and/or modify it under the terms
	7	! of the GNU General Public License as published by the Free Software Foundation,
	8	! either version 3 of the License, or (at your option) any later version.
	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[1310]	17	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	18	!--------------------------------------------------------------------------------!
	19	!
[736]	20	! Current revisions:
[1092]	21	! ------------------
[1366]	22	!
[1375]	23	!
[1366]	24	! Former revisions:
	25	! -----------------
	26	! $Id: prognostic_equations.f90 1375 2014-04-25 13:07:08Z raasch $
	27	!
[1375]	28	! 1374 2014-04-25 12:55:07Z raasch
	29	! missing variables added to ONLY lists
	30	!
[1366]	31	! 1365 2014-04-22 15:03:56Z boeske
[1365]	32	! Calls of ls_advec for large scale advection added,
	33	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	34	! new argument ls_index added to the calls of subsidence
	35	! +ls_index
	36	!
	37	! 1361 2014-04-16 15:17:48Z hoffmann
[1361]	38	! Two-moment microphysics moved to the start of prognostic equations. This makes
	39	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	40	! Additionally, it is allowed to call the microphysics just once during the time
	41	! step (not at each sub-time step).
	42	!
	43	! Two-moment cloud physics added for vector and accelerator optimization.
	44	!
	45	! 1353 2014-04-08 15:21:23Z heinze
[1354]	46	! REAL constants provided with KIND-attribute
	47	!
[1353]	48	! 1337 2014-03-25 15:11:48Z heinze
	49	! Bugfix: REAL constants provided with KIND-attribute
	50	!
	51	! 1332 2014-03-25 11:59:43Z suehring
[1333]	52	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	53	!
[1332]	54	! 1330 2014-03-24 17:29:32Z suehring
[1331]	55	! In case of SGS-particle velocity advection of TKE is also allowed with
	56	! dissipative 5th-order scheme.
	57	!
[1321]	58	! 1320 2014-03-20 08:40:49Z raasch
[1320]	59	! ONLY-attribute added to USE-statements,
	60	! kind-parameters added to all INTEGER and REAL declaration statements,
	61	! kinds are defined in new module kinds,
	62	! old module precision_kind is removed,
	63	! revision history before 2012 removed,
	64	! comment fields (!:) to be used for variable explanations added to
	65	! all variable declaration statements
[1054]	66	!
[1319]	67	! 1318 2014-03-17 13:35:16Z raasch
	68	! module interfaces removed
	69	!
[1258]	70	! 1257 2013-11-08 15:18:40Z raasch
	71	! openacc loop vector clauses removed, independent clauses added
	72	!
[1247]	73	! 1246 2013-11-01 08:59:45Z heinze
	74	! enable nudging also for accelerator version
	75	!
[1242]	76	! 1241 2013-10-30 11:36:58Z heinze
	77	! usage of nudging enabled (so far not implemented for accelerator version)
	78	!
[1182]	79	! 1179 2013-06-14 05:57:58Z raasch
	80	! two arguments removed from routine buoyancy, ref_state updated on device
	81	!
[1132]	82	! 1128 2013-04-12 06:19:32Z raasch
	83	! those parts requiring global communication moved to time_integration,
	84	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	85	! j_north
	86	!
[1116]	87	! 1115 2013-03-26 18:16:16Z hoffmann
	88	! optimized cloud physics: calculation of microphysical tendencies transfered
	89	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	90	!
[1112]	91	! 1111 2013-03-08 23:54:10Z raasch
	92	! update directives for prognostic quantities removed
	93	!
[1107]	94	! 1106 2013-03-04 05:31:38Z raasch
	95	! small changes in code formatting
	96	!
[1093]	97	! 1092 2013-02-02 11:24:22Z raasch
	98	! unused variables removed
	99	!
[1054]	100	! 1053 2012-11-13 17:11:03Z hoffmann
[1053]	101	! implementation of two new prognostic equations for rain drop concentration (nr)
	102	! and rain water content (qr)
[979]	103	!
[1053]	104	! currently, only available for cache loop optimization
[1020]	105	!
[1037]	106	! 1036 2012-10-22 13:43:42Z raasch
	107	! code put under GPL (PALM 3.9)
	108	!
[1020]	109	! 1019 2012-09-28 06:46:45Z raasch
	110	! non-optimized version of prognostic_equations removed
	111	!
[1017]	112	! 1015 2012-09-27 09:23:24Z raasch
	113	! new branch prognostic_equations_acc
	114	! OpenACC statements added + code changes required for GPU optimization
	115	!
[1002]	116	! 1001 2012-09-13 14:08:46Z raasch
	117	! all actions concerning leapfrog- and upstream-spline-scheme removed
	118	!
[979]	119	! 978 2012-08-09 08:28:32Z fricke
[978]	120	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	121	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	122	! boundary in case of non-cyclic lateral boundaries
	123	! Bugfix: first thread index changes for WS-scheme at the inflow
[736]	124	!
[941]	125	! 940 2012-07-09 14:31:00Z raasch
	126	! temperature equation can be switched off
	127	!
[736]	128	! Revision 1.1 2000/04/13 14:56:27 schroeter
	129	! Initial revision
	130	!
	131	!
	132	! Description:
	133	! ------------
	134	! Solving the prognostic equations.
	135	!------------------------------------------------------------------------------!
	136
[1320]	137	USE arrays_3d, &
	138	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	139	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	140	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	141	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	142	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	143	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
[1374]	144	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	145	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	146	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
	147	tw_m, u, ug, u_p, v, vg, vpt, v_p, w, w_p
[1320]	148
	149	USE control_parameters, &
[1361]	150	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	151	constant_diffusion, cthf, dp_external, &
[1320]	152	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	153	icloud_scheme, inflow_l, intermediate_timestep_count, &
[1365]	154	intermediate_timestep_count_max, large_scale_forcing, &
	155	large_scale_subsidence, neutral, nudging, ocean, outflow_l, &
	156	outflow_s, passive_scalar, plant_canopy, precipitation, &
	157	prho_reference, prho_reference, prho_reference, pt_reference, &
	158	pt_reference, pt_reference, radiation, scalar_advec, &
	159	scalar_advec, simulated_time, sloping_surface, timestep_scheme, &
	160	tsc, use_subsidence_tendencies, use_upstream_for_tke, &
[1320]	161	use_upstream_for_tke, use_upstream_for_tke, wall_heatflux, &
	162	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	163	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
[736]	164
[1320]	165	USE cpulog, &
	166	ONLY: cpu_log, log_point
[736]	167
[1320]	168	USE eqn_state_seawater_mod, &
	169	ONLY: eqn_state_seawater
	170
	171	USE indices, &
	172	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	173	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	174
	175	USE advec_ws, &
	176	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	177	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	178
	179	USE advec_s_pw_mod, &
	180	ONLY: advec_s_pw
	181
	182	USE advec_s_up_mod, &
	183	ONLY: advec_s_up
	184
	185	USE advec_u_pw_mod, &
	186	ONLY: advec_u_pw
	187
	188	USE advec_u_up_mod, &
	189	ONLY: advec_u_up
	190
	191	USE advec_v_pw_mod, &
	192	ONLY: advec_v_pw
	193
	194	USE advec_v_up_mod, &
	195	ONLY: advec_v_up
	196
	197	USE advec_w_pw_mod, &
	198	ONLY: advec_w_pw
	199
	200	USE advec_w_up_mod, &
	201	ONLY: advec_w_up
	202
	203	USE buoyancy_mod, &
	204	ONLY: buoyancy, buoyancy_acc
	205
	206	USE calc_precipitation_mod, &
	207	ONLY: calc_precipitation
	208
	209	USE calc_radiation_mod, &
	210	ONLY: calc_radiation
	211
	212	USE coriolis_mod, &
	213	ONLY: coriolis, coriolis_acc
	214
	215	USE diffusion_e_mod, &
	216	ONLY: diffusion_e, diffusion_e_acc
	217
	218	USE diffusion_s_mod, &
	219	ONLY: diffusion_s, diffusion_s_acc
	220
	221	USE diffusion_u_mod, &
	222	ONLY: diffusion_u, diffusion_u_acc
	223
	224	USE diffusion_v_mod, &
	225	ONLY: diffusion_v, diffusion_v_acc
	226
	227	USE diffusion_w_mod, &
	228	ONLY: diffusion_w, diffusion_w_acc
	229
	230	USE impact_of_latent_heat_mod, &
	231	ONLY: impact_of_latent_heat
	232
	233	USE kinds
	234
[1365]	235	USE ls_forcing_mod, &
	236	ONLY: ls_advec
	237
[1320]	238	USE microphysics_mod, &
	239	ONLY: microphysics_control
	240
	241	USE nudge_mod, &
	242	ONLY: nudge
	243
	244	USE plant_canopy_model_mod, &
	245	ONLY: plant_canopy_model
	246
	247	USE production_e_mod, &
	248	ONLY: production_e, production_e_acc
	249
[1374]	250	USE statistics, &
	251	ONLY: hom
	252
[1320]	253	USE subsidence_mod, &
	254	ONLY: subsidence
	255
	256	USE user_actions_mod, &
	257	ONLY: user_actions
	258
	259
[736]	260	PRIVATE
[1019]	261	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	262	prognostic_equations_acc
[736]	263
	264	INTERFACE prognostic_equations_cache
	265	MODULE PROCEDURE prognostic_equations_cache
	266	END INTERFACE prognostic_equations_cache
	267
	268	INTERFACE prognostic_equations_vector
	269	MODULE PROCEDURE prognostic_equations_vector
	270	END INTERFACE prognostic_equations_vector
	271
[1015]	272	INTERFACE prognostic_equations_acc
	273	MODULE PROCEDURE prognostic_equations_acc
	274	END INTERFACE prognostic_equations_acc
[736]	275
[1015]	276
[736]	277	CONTAINS
	278
	279
	280	SUBROUTINE prognostic_equations_cache
	281
	282	!------------------------------------------------------------------------------!
	283	! Version with one optimized loop over all equations. It is only allowed to
	284	! be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	285	!
	286	! Here the calls of most subroutines are embedded in two DO loops over i and j,
	287	! so communication between CPUs is not allowed (does not make sense) within
	288	! these loops.
	289	!
	290	! (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	291	!------------------------------------------------------------------------------!
	292
	293	IMPLICIT NONE
	294
[1320]	295	INTEGER(iwp) :: i !:
	296	INTEGER(iwp) :: i_omp_start !:
	297	INTEGER(iwp) :: j !:
	298	INTEGER(iwp) :: k !:
	299	INTEGER(iwp) :: omp_get_thread_num !:
	300	INTEGER(iwp) :: tn = 0 !:
	301
	302	LOGICAL :: loop_start !:
[736]	303
	304
	305	!
	306	!-- Time measurement can only be performed for the whole set of equations
	307	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	308
	309	!
	310	!-- Loop over all prognostic equations
	311	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	312
	313	!$ tn = omp_get_thread_num()
	314	loop_start = .TRUE.
	315	!$OMP DO
	316	DO i = nxl, nxr
	317
	318	!
	319	!-- Store the first loop index. It differs for each thread and is required
	320	!-- later in advec_ws
	321	IF ( loop_start ) THEN
	322	loop_start = .FALSE.
	323	i_omp_start = i
	324	ENDIF
[1365]	325
[736]	326	DO j = nys, nyn
	327	!
[1361]	328	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	329	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	330	( intermediate_timestep_count == 1 .OR. &
	331	call_microphysics_at_all_substeps ) &
	332	) THEN
	333	CALL microphysics_control( i, j )
	334	ENDIF
	335	!
[736]	336	!-- Tendency terms for u-velocity component
	337	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	338
[1337]	339	tend(:,j,i) = 0.0_wp
[1001]	340	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	341	IF ( ws_scheme_mom ) THEN
[978]	342	IF ( ( inflow_l .OR. outflow_l ) .AND. i_omp_start == nxl ) THEN
[736]	343	CALL advec_u_ws( i, j, i_omp_start + 1, tn )
	344	ELSE
	345	CALL advec_u_ws( i, j, i_omp_start, tn )
	346	ENDIF
	347	ELSE
	348	CALL advec_u_pw( i, j )
	349	ENDIF
	350	ELSE
	351	CALL advec_u_up( i, j )
	352	ENDIF
[1001]	353	CALL diffusion_u( i, j )
[736]	354	CALL coriolis( i, j, 1 )
[940]	355	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	356	CALL buoyancy( i, j, pt, 1 )
[940]	357	ENDIF
[736]	358
	359	!
	360	!-- Drag by plant canopy
	361	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 1 )
	362
	363	!
	364	!-- External pressure gradient
	365	IF ( dp_external ) THEN
	366	DO k = dp_level_ind_b+1, nzt
	367	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	368	ENDDO
	369	ENDIF
	370
[1241]	371	!
	372	!-- Nudging
	373	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	374
[736]	375	CALL user_actions( i, j, 'u-tendency' )
	376	!
	377	!-- Prognostic equation for u-velocity component
	378	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	379	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	380	tsc(3) * tu_m(k,j,i) ) &
	381	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
[736]	382	ENDDO
	383
	384	!
	385	!-- Calculate tendencies for the next Runge-Kutta step
	386	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	387	IF ( intermediate_timestep_count == 1 ) THEN
	388	DO k = nzb_u_inner(j,i)+1, nzt
	389	tu_m(k,j,i) = tend(k,j,i)
	390	ENDDO
	391	ELSEIF ( intermediate_timestep_count < &
	392	intermediate_timestep_count_max ) THEN
	393	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	394	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	395	ENDDO
	396	ENDIF
	397	ENDIF
	398
	399	ENDIF
	400
	401	!
	402	!-- Tendency terms for v-velocity component
	403	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	404
[1337]	405	tend(:,j,i) = 0.0_wp
[1001]	406	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	407	IF ( ws_scheme_mom ) THEN
	408	CALL advec_v_ws( i, j, i_omp_start, tn )
	409	ELSE
	410	CALL advec_v_pw( i, j )
	411	ENDIF
	412	ELSE
	413	CALL advec_v_up( i, j )
	414	ENDIF
[1001]	415	CALL diffusion_v( i, j )
[736]	416	CALL coriolis( i, j, 2 )
	417
	418	!
	419	!-- Drag by plant canopy
	420	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 2 )
	421
	422	!
	423	!-- External pressure gradient
	424	IF ( dp_external ) THEN
	425	DO k = dp_level_ind_b+1, nzt
	426	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	427	ENDDO
	428	ENDIF
	429
[1241]	430	!
	431	!-- Nudging
	432	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	433
[736]	434	CALL user_actions( i, j, 'v-tendency' )
	435	!
	436	!-- Prognostic equation for v-velocity component
	437	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	438	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	439	tsc(3) * tv_m(k,j,i) ) &
	440	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
[736]	441	ENDDO
	442
	443	!
	444	!-- Calculate tendencies for the next Runge-Kutta step
	445	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	446	IF ( intermediate_timestep_count == 1 ) THEN
	447	DO k = nzb_v_inner(j,i)+1, nzt
	448	tv_m(k,j,i) = tend(k,j,i)
	449	ENDDO
	450	ELSEIF ( intermediate_timestep_count < &
	451	intermediate_timestep_count_max ) THEN
	452	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	453	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	454	ENDDO
	455	ENDIF
	456	ENDIF
	457
	458	ENDIF
	459
	460	!
	461	!-- Tendency terms for w-velocity component
[1337]	462	tend(:,j,i) = 0.0_wp
[1001]	463	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	464	IF ( ws_scheme_mom ) THEN
	465	CALL advec_w_ws( i, j, i_omp_start, tn )
	466	ELSE
	467	CALL advec_w_pw( i, j )
	468	END IF
	469	ELSE
	470	CALL advec_w_up( i, j )
	471	ENDIF
[1001]	472	CALL diffusion_w( i, j )
[736]	473	CALL coriolis( i, j, 3 )
[940]	474
	475	IF ( .NOT. neutral ) THEN
	476	IF ( ocean ) THEN
[1179]	477	CALL buoyancy( i, j, rho, 3 )
[736]	478	ELSE
[940]	479	IF ( .NOT. humidity ) THEN
[1179]	480	CALL buoyancy( i, j, pt, 3 )
[940]	481	ELSE
[1179]	482	CALL buoyancy( i, j, vpt, 3 )
[940]	483	ENDIF
[736]	484	ENDIF
	485	ENDIF
	486
	487	!
	488	!-- Drag by plant canopy
	489	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 3 )
	490
	491	CALL user_actions( i, j, 'w-tendency' )
	492
	493	!
	494	!-- Prognostic equation for w-velocity component
	495	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	496	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	497	tsc(3) * tw_m(k,j,i) ) &
	498	- tsc(5) * rdf(k) * w(k,j,i)
[736]	499	ENDDO
	500
	501	!
	502	!-- Calculate tendencies for the next Runge-Kutta step
	503	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	504	IF ( intermediate_timestep_count == 1 ) THEN
	505	DO k = nzb_w_inner(j,i)+1, nzt-1
	506	tw_m(k,j,i) = tend(k,j,i)
	507	ENDDO
	508	ELSEIF ( intermediate_timestep_count < &
	509	intermediate_timestep_count_max ) THEN
	510	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	511	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	512	ENDDO
	513	ENDIF
	514	ENDIF
[1361]	515
[736]	516	!
[940]	517	!-- If required, compute prognostic equation for potential temperature
	518	IF ( .NOT. neutral ) THEN
	519	!
	520	!-- Tendency terms for potential temperature
[1337]	521	tend(:,j,i) = 0.0_wp
[1001]	522	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	523	IF ( ws_scheme_sca ) THEN
	524	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	525	flux_l_pt, diss_l_pt, i_omp_start, tn )
	526	ELSE
	527	CALL advec_s_pw( i, j, pt )
	528	ENDIF
	529	ELSE
	530	CALL advec_s_up( i, j, pt )
	531	ENDIF
[1001]	532	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
[736]	533
	534	!
[940]	535	!-- If required compute heating/cooling due to long wave radiation
	536	!-- processes
	537	IF ( radiation ) THEN
	538	CALL calc_radiation( i, j )
	539	ENDIF
[736]	540
[1106]	541	!
[1361]	542	!-- If required compute impact of latent heat due to precipitation
	543	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	544	precipitation ) THEN
	545	CALL impact_of_latent_heat( i, j )
[940]	546	ENDIF
[736]	547
	548	!
[940]	549	!-- Consideration of heat sources within the plant canopy
[1337]	550	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
[940]	551	CALL plant_canopy_model( i, j, 4 )
	552	ENDIF
[736]	553
[940]	554	!
[1365]	555	!-- Large scale advection
	556	IF ( large_scale_forcing ) THEN
	557	CALL ls_advec( i, j, simulated_time, 'pt' )
	558	ENDIF
	559
	560	!
[1106]	561	!-- If required, compute effect of large-scale subsidence/ascent
[1365]	562	IF ( large_scale_subsidence .AND. &
	563	.NOT. use_subsidence_tendencies ) THEN
	564	CALL subsidence( i, j, tend, pt, pt_init, 2 )
[940]	565	ENDIF
[736]	566
[1241]	567	!
	568	!-- Nudging
	569	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	570
[940]	571	CALL user_actions( i, j, 'pt-tendency' )
[736]	572
	573	!
[940]	574	!-- Prognostic equation for potential temperature
	575	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	576	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	577	tsc(3) * tpt_m(k,j,i) ) &
	578	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	579	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	580	ENDDO
[736]	581
	582	!
[940]	583	!-- Calculate tendencies for the next Runge-Kutta step
	584	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	585	IF ( intermediate_timestep_count == 1 ) THEN
	586	DO k = nzb_s_inner(j,i)+1, nzt
	587	tpt_m(k,j,i) = tend(k,j,i)
	588	ENDDO
	589	ELSEIF ( intermediate_timestep_count < &
	590	intermediate_timestep_count_max ) THEN
	591	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	592	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	593	5.3125_wp * tpt_m(k,j,i)
[940]	594	ENDDO
	595	ENDIF
[736]	596	ENDIF
[940]	597
[736]	598	ENDIF
	599
	600	!
	601	!-- If required, compute prognostic equation for salinity
	602	IF ( ocean ) THEN
	603
	604	!
	605	!-- Tendency-terms for salinity
[1337]	606	tend(:,j,i) = 0.0_wp
[1001]	607	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	608	THEN
	609	IF ( ws_scheme_sca ) THEN
	610	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	611	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	612	ELSE
	613	CALL advec_s_pw( i, j, sa )
	614	ENDIF
	615	ELSE
	616	CALL advec_s_up( i, j, sa )
	617	ENDIF
[1001]	618	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
[736]	619
	620	CALL user_actions( i, j, 'sa-tendency' )
	621
	622	!
	623	!-- Prognostic equation for salinity
	624	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	625	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	626	tsc(3) * tsa_m(k,j,i) ) &
	627	- tsc(5) * rdf_sc(k) * &
	628	( sa(k,j,i) - sa_init(k) )
[1337]	629	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	630	ENDDO
	631
	632	!
	633	!-- Calculate tendencies for the next Runge-Kutta step
	634	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	635	IF ( intermediate_timestep_count == 1 ) THEN
	636	DO k = nzb_s_inner(j,i)+1, nzt
	637	tsa_m(k,j,i) = tend(k,j,i)
	638	ENDDO
	639	ELSEIF ( intermediate_timestep_count < &
	640	intermediate_timestep_count_max ) THEN
	641	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	642	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	643	5.3125_wp * tsa_m(k,j,i)
[736]	644	ENDDO
	645	ENDIF
	646	ENDIF
	647
	648	!
	649	!-- Calculate density by the equation of state for seawater
	650	CALL eqn_state_seawater( i, j )
	651
	652	ENDIF
	653
	654	!
	655	!-- If required, compute prognostic equation for total water content /
	656	!-- scalar
	657	IF ( humidity .OR. passive_scalar ) THEN
	658
	659	!
	660	!-- Tendency-terms for total water content / scalar
[1337]	661	tend(:,j,i) = 0.0_wp
[1001]	662	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	663	THEN
	664	IF ( ws_scheme_sca ) THEN
	665	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	666	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	667	ELSE
	668	CALL advec_s_pw( i, j, q )
	669	ENDIF
	670	ELSE
	671	CALL advec_s_up( i, j, q )
	672	ENDIF
[1001]	673	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
[1053]	674
[736]	675	!
[1361]	676	!-- If required compute decrease of total water content due to
	677	!-- precipitation
	678	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	679	precipitation ) THEN
	680	CALL calc_precipitation( i, j )
[736]	681	ENDIF
	682	!
	683	!-- Sink or source of scalar concentration due to canopy elements
[1106]	684	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 5 )
[736]	685
[1053]	686	!
[1365]	687	!-- Large scale advection
	688	IF ( large_scale_forcing ) THEN
	689	CALL ls_advec( i, j, simulated_time, 'q' )
	690	ENDIF
	691
	692	!
[736]	693	!-- If required compute influence of large-scale subsidence/ascent
[1365]	694	IF ( large_scale_subsidence .AND. &
	695	.NOT. use_subsidence_tendencies ) THEN
	696	CALL subsidence( i, j, tend, q, q_init, 3 )
[736]	697	ENDIF
	698
[1241]	699	!
	700	!-- Nudging
	701	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	702
[736]	703	CALL user_actions( i, j, 'q-tendency' )
	704
	705	!
	706	!-- Prognostic equation for total water content / scalar
	707	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	708	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	709	tsc(3) * tq_m(k,j,i) ) &
	710	- tsc(5) * rdf_sc(k) * &
	711	( q(k,j,i) - q_init(k) )
[1337]	712	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	713	ENDDO
	714
	715	!
	716	!-- Calculate tendencies for the next Runge-Kutta step
	717	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	718	IF ( intermediate_timestep_count == 1 ) THEN
	719	DO k = nzb_s_inner(j,i)+1, nzt
	720	tq_m(k,j,i) = tend(k,j,i)
	721	ENDDO
	722	ELSEIF ( intermediate_timestep_count < &
	723	intermediate_timestep_count_max ) THEN
	724	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	725	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	726	5.3125_wp * tq_m(k,j,i)
[736]	727	ENDDO
	728	ENDIF
	729	ENDIF
	730
[1053]	731	!
	732	!-- If required, calculate prognostic equations for rain water content
	733	!-- and rain drop concentration
[1115]	734	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	735	precipitation ) THEN
[1053]	736	!
	737	!-- Calculate prognostic equation for rain water content
[1337]	738	tend(:,j,i) = 0.0_wp
[1053]	739	IF ( timestep_scheme(1:5) == 'runge' ) &
	740	THEN
	741	IF ( ws_scheme_sca ) THEN
	742	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	743	diss_s_qr, flux_l_qr, diss_l_qr, &
	744	i_omp_start, tn )
	745	ELSE
	746	CALL advec_s_pw( i, j, qr )
	747	ENDIF
	748	ELSE
	749	CALL advec_s_up( i, j, qr )
	750	ENDIF
	751	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	752
[1115]	753	CALL user_actions( i, j, 'qr-tendency' )
[1053]	754	!
	755	!-- Prognostic equation for rain water content
	756	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	757	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	758	tsc(3) * tqr_m(k,j,i) ) &
	759	- tsc(5) * rdf_sc(k) * qr(k,j,i)
[1337]	760	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
[1053]	761	ENDDO
	762	!
	763	!-- Calculate tendencies for the next Runge-Kutta step
	764	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	765	IF ( intermediate_timestep_count == 1 ) THEN
	766	DO k = nzb_s_inner(j,i)+1, nzt
	767	tqr_m(k,j,i) = tend(k,j,i)
	768	ENDDO
	769	ELSEIF ( intermediate_timestep_count < &
	770	intermediate_timestep_count_max ) THEN
	771	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	772	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	773	5.3125_wp * tqr_m(k,j,i)
[1053]	774	ENDDO
	775	ENDIF
	776	ENDIF
	777
	778	!
	779	!-- Calculate prognostic equation for rain drop concentration.
[1337]	780	tend(:,j,i) = 0.0_wp
[1053]	781	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	782	IF ( ws_scheme_sca ) THEN
[1115]	783	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	784	diss_s_nr, flux_l_nr, diss_l_nr, &
	785	i_omp_start, tn )
[1053]	786	ELSE
	787	CALL advec_s_pw( i, j, nr )
	788	ENDIF
	789	ELSE
	790	CALL advec_s_up( i, j, nr )
	791	ENDIF
	792	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	793
[1115]	794	CALL user_actions( i, j, 'nr-tendency' )
[1053]	795	!
	796	!-- Prognostic equation for rain drop concentration
	797	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	798	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	799	tsc(3) * tnr_m(k,j,i) ) &
	800	- tsc(5) * rdf_sc(k) * nr(k,j,i)
[1337]	801	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
[1053]	802	ENDDO
	803	!
	804	!-- Calculate tendencies for the next Runge-Kutta step
	805	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	806	IF ( intermediate_timestep_count == 1 ) THEN
	807	DO k = nzb_s_inner(j,i)+1, nzt
	808	tnr_m(k,j,i) = tend(k,j,i)
	809	ENDDO
	810	ELSEIF ( intermediate_timestep_count < &
	811	intermediate_timestep_count_max ) THEN
	812	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	813	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	814	5.3125_wp * tnr_m(k,j,i)
[1053]	815	ENDDO
	816	ENDIF
	817	ENDIF
	818
	819	ENDIF
	820
[1128]	821	ENDIF
	822
[736]	823	!
	824	!-- If required, compute prognostic equation for turbulent kinetic
	825	!-- energy (TKE)
	826	IF ( .NOT. constant_diffusion ) THEN
	827
	828	!
	829	!-- Tendency-terms for TKE
[1337]	830	tend(:,j,i) = 0.0_wp
[1332]	831	IF ( timestep_scheme(1:5) == 'runge' &
	832	.AND. .NOT. use_upstream_for_tke ) THEN
[736]	833	IF ( ws_scheme_sca ) THEN
[1001]	834	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	835	flux_l_e, diss_l_e , i_omp_start, tn )
[736]	836	ELSE
	837	CALL advec_s_pw( i, j, e )
	838	ENDIF
	839	ELSE
	840	CALL advec_s_up( i, j, e )
	841	ENDIF
[1001]	842	IF ( .NOT. humidity ) THEN
	843	IF ( ocean ) THEN
	844	CALL diffusion_e( i, j, prho, prho_reference )
[736]	845	ELSE
[1001]	846	CALL diffusion_e( i, j, pt, pt_reference )
[736]	847	ENDIF
	848	ELSE
[1001]	849	CALL diffusion_e( i, j, vpt, pt_reference )
[736]	850	ENDIF
	851	CALL production_e( i, j )
	852
	853	!
	854	!-- Additional sink term for flows through plant canopies
	855	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 6 )
	856
	857	CALL user_actions( i, j, 'e-tendency' )
	858
	859	!
	860	!-- Prognostic equation for TKE.
	861	!-- Eliminate negative TKE values, which can occur due to numerical
	862	!-- reasons in the course of the integration. In such cases the old
	863	!-- TKE value is reduced by 90%.
	864	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	865	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	866	tsc(3) * te_m(k,j,i) )
[1337]	867	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	868	ENDDO
	869
	870	!
	871	!-- Calculate tendencies for the next Runge-Kutta step
	872	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	873	IF ( intermediate_timestep_count == 1 ) THEN
	874	DO k = nzb_s_inner(j,i)+1, nzt
	875	te_m(k,j,i) = tend(k,j,i)
	876	ENDDO
	877	ELSEIF ( intermediate_timestep_count < &
	878	intermediate_timestep_count_max ) THEN
	879	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	880	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	881	5.3125_wp * te_m(k,j,i)
[736]	882	ENDDO
	883	ENDIF
	884	ENDIF
	885
	886	ENDIF ! TKE equation
	887
	888	ENDDO
	889	ENDDO
	890	!$OMP END PARALLEL
	891
	892	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	893
	894
	895	END SUBROUTINE prognostic_equations_cache
	896
	897
	898	SUBROUTINE prognostic_equations_vector
	899
	900	!------------------------------------------------------------------------------!
	901	! Version for vector machines
	902	!------------------------------------------------------------------------------!
	903
	904	IMPLICIT NONE
	905
[1320]	906	INTEGER(iwp) :: i !:
	907	INTEGER(iwp) :: j !:
	908	INTEGER(iwp) :: k !:
[736]	909
[1320]	910	REAL(wp) :: sbt !:
[736]	911
[1320]	912
[736]	913	!
[1361]	914	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	915	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	916	( intermediate_timestep_count == 1 .OR. &
	917	call_microphysics_at_all_substeps ) &
	918	) THEN
	919	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	920	CALL microphysics_control
	921	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	922	ENDIF
	923
	924	!
[736]	925	!-- u-velocity component
	926	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	927
[1337]	928	tend = 0.0_wp
[1001]	929	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	930	IF ( ws_scheme_mom ) THEN
	931	CALL advec_u_ws
	932	ELSE
	933	CALL advec_u_pw
	934	ENDIF
	935	ELSE
[1001]	936	CALL advec_u_up
[736]	937	ENDIF
[1001]	938	CALL diffusion_u
[736]	939	CALL coriolis( 1 )
[940]	940	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	941	CALL buoyancy( pt, 1 )
[940]	942	ENDIF
[736]	943
	944	!
	945	!-- Drag by plant canopy
	946	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	947
	948	!
	949	!-- External pressure gradient
	950	IF ( dp_external ) THEN
	951	DO i = nxlu, nxr
	952	DO j = nys, nyn
	953	DO k = dp_level_ind_b+1, nzt
	954	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	955	ENDDO
	956	ENDDO
	957	ENDDO
	958	ENDIF
	959
[1241]	960	!
	961	!-- Nudging
	962	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	963
[736]	964	CALL user_actions( 'u-tendency' )
	965
	966	!
	967	!-- Prognostic equation for u-velocity component
	968	DO i = nxlu, nxr
	969	DO j = nys, nyn
	970	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	971	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	972	tsc(3) * tu_m(k,j,i) ) &
	973	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
[736]	974	ENDDO
	975	ENDDO
	976	ENDDO
	977
	978	!
	979	!-- Calculate tendencies for the next Runge-Kutta step
	980	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	981	IF ( intermediate_timestep_count == 1 ) THEN
	982	DO i = nxlu, nxr
	983	DO j = nys, nyn
	984	DO k = nzb_u_inner(j,i)+1, nzt
	985	tu_m(k,j,i) = tend(k,j,i)
	986	ENDDO
	987	ENDDO
	988	ENDDO
	989	ELSEIF ( intermediate_timestep_count < &
	990	intermediate_timestep_count_max ) THEN
	991	DO i = nxlu, nxr
	992	DO j = nys, nyn
	993	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	994	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	995	ENDDO
	996	ENDDO
	997	ENDDO
	998	ENDIF
	999	ENDIF
	1000
	1001	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1002
	1003	!
	1004	!-- v-velocity component
	1005	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1006
[1337]	1007	tend = 0.0_wp
[1001]	1008	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1009	IF ( ws_scheme_mom ) THEN
	1010	CALL advec_v_ws
	1011	ELSE
	1012	CALL advec_v_pw
	1013	END IF
	1014	ELSE
[1001]	1015	CALL advec_v_up
[736]	1016	ENDIF
[1001]	1017	CALL diffusion_v
[736]	1018	CALL coriolis( 2 )
	1019
	1020	!
	1021	!-- Drag by plant canopy
	1022	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1023
	1024	!
	1025	!-- External pressure gradient
	1026	IF ( dp_external ) THEN
	1027	DO i = nxl, nxr
	1028	DO j = nysv, nyn
	1029	DO k = dp_level_ind_b+1, nzt
	1030	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1031	ENDDO
	1032	ENDDO
	1033	ENDDO
	1034	ENDIF
	1035
[1241]	1036	!
	1037	!-- Nudging
	1038	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1039
[736]	1040	CALL user_actions( 'v-tendency' )
	1041
	1042	!
	1043	!-- Prognostic equation for v-velocity component
	1044	DO i = nxl, nxr
	1045	DO j = nysv, nyn
	1046	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	1047	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1048	tsc(3) * tv_m(k,j,i) ) &
	1049	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
[736]	1050	ENDDO
	1051	ENDDO
	1052	ENDDO
	1053
	1054	!
	1055	!-- Calculate tendencies for the next Runge-Kutta step
	1056	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1057	IF ( intermediate_timestep_count == 1 ) THEN
	1058	DO i = nxl, nxr
	1059	DO j = nysv, nyn
	1060	DO k = nzb_v_inner(j,i)+1, nzt
	1061	tv_m(k,j,i) = tend(k,j,i)
	1062	ENDDO
	1063	ENDDO
	1064	ENDDO
	1065	ELSEIF ( intermediate_timestep_count < &
	1066	intermediate_timestep_count_max ) THEN
	1067	DO i = nxl, nxr
	1068	DO j = nysv, nyn
	1069	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	1070	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	1071	ENDDO
	1072	ENDDO
	1073	ENDDO
	1074	ENDIF
	1075	ENDIF
	1076
	1077	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1078
	1079	!
	1080	!-- w-velocity component
	1081	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1082
[1353]	1083	tend = 0.0_wp
[1001]	1084	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1085	IF ( ws_scheme_mom ) THEN
	1086	CALL advec_w_ws
	1087	ELSE
	1088	CALL advec_w_pw
	1089	ENDIF
	1090	ELSE
[1001]	1091	CALL advec_w_up
[736]	1092	ENDIF
[1001]	1093	CALL diffusion_w
[736]	1094	CALL coriolis( 3 )
[940]	1095
	1096	IF ( .NOT. neutral ) THEN
	1097	IF ( ocean ) THEN
[1179]	1098	CALL buoyancy( rho, 3 )
[736]	1099	ELSE
[940]	1100	IF ( .NOT. humidity ) THEN
[1179]	1101	CALL buoyancy( pt, 3 )
[940]	1102	ELSE
[1179]	1103	CALL buoyancy( vpt, 3 )
[940]	1104	ENDIF
[736]	1105	ENDIF
	1106	ENDIF
	1107
	1108	!
	1109	!-- Drag by plant canopy
	1110	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1111
	1112	CALL user_actions( 'w-tendency' )
	1113
	1114	!
	1115	!-- Prognostic equation for w-velocity component
	1116	DO i = nxl, nxr
	1117	DO j = nys, nyn
	1118	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	1119	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1120	tsc(3) * tw_m(k,j,i) ) &
	1121	- tsc(5) * rdf(k) * w(k,j,i)
[736]	1122	ENDDO
	1123	ENDDO
	1124	ENDDO
	1125
	1126	!
	1127	!-- Calculate tendencies for the next Runge-Kutta step
	1128	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1129	IF ( intermediate_timestep_count == 1 ) THEN
	1130	DO i = nxl, nxr
	1131	DO j = nys, nyn
	1132	DO k = nzb_w_inner(j,i)+1, nzt-1
	1133	tw_m(k,j,i) = tend(k,j,i)
	1134	ENDDO
	1135	ENDDO
	1136	ENDDO
	1137	ELSEIF ( intermediate_timestep_count < &
	1138	intermediate_timestep_count_max ) THEN
	1139	DO i = nxl, nxr
	1140	DO j = nys, nyn
	1141	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	1142	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	1143	ENDDO
	1144	ENDDO
	1145	ENDDO
	1146	ENDIF
	1147	ENDIF
	1148
	1149	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1150
[940]	1151
[736]	1152	!
[940]	1153	!-- If required, compute prognostic equation for potential temperature
	1154	IF ( .NOT. neutral ) THEN
[736]	1155
[940]	1156	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1157
[736]	1158	!
[940]	1159	!-- pt-tendency terms with communication
	1160	sbt = tsc(2)
	1161	IF ( scalar_advec == 'bc-scheme' ) THEN
[736]	1162
[940]	1163	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
[736]	1164	!
[1001]	1165	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1166	sbt = 1.0_wp
[940]	1167	ENDIF
[1337]	1168	tend = 0.0_wp
[940]	1169	CALL advec_s_bc( pt, 'pt' )
[1001]	1170
[736]	1171	ENDIF
[940]	1172
	1173	!
	1174	!-- pt-tendency terms with no communication
[1001]	1175	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1176	tend = 0.0_wp
[1001]	1177	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	1178	IF ( ws_scheme_sca ) THEN
	1179	CALL advec_s_ws( pt, 'pt' )
	1180	ELSE
	1181	CALL advec_s_pw( pt )
	1182	ENDIF
	1183	ELSE
[1001]	1184	CALL advec_s_up( pt )
[940]	1185	ENDIF
[736]	1186	ENDIF
	1187
[1001]	1188	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1189
[736]	1190	!
[940]	1191	!-- If required compute heating/cooling due to long wave radiation processes
	1192	IF ( radiation ) THEN
	1193	CALL calc_radiation
	1194	ENDIF
[736]	1195
	1196	!
[940]	1197	!-- If required compute impact of latent heat due to precipitation
[1361]	1198	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[940]	1199	CALL impact_of_latent_heat
	1200	ENDIF
[736]	1201
	1202	!
[940]	1203	!-- Consideration of heat sources within the plant canopy
[1337]	1204	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[940]	1205	CALL plant_canopy_model( 4 )
	1206	ENDIF
[736]	1207
[940]	1208	!
[1365]	1209	!-- Large scale advection
	1210	IF ( large_scale_forcing ) THEN
	1211	CALL ls_advec( simulated_time, 'pt' )
	1212	ENDIF
	1213
	1214	!
[940]	1215	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1216	IF ( large_scale_subsidence .AND. &
	1217	.NOT. use_subsidence_tendencies ) THEN
	1218	CALL subsidence( tend, pt, pt_init, 2 )
[940]	1219	ENDIF
[736]	1220
[1241]	1221	!
	1222	!-- Nudging
	1223	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1224
[940]	1225	CALL user_actions( 'pt-tendency' )
[736]	1226
	1227	!
[940]	1228	!-- Prognostic equation for potential temperature
	1229	DO i = nxl, nxr
	1230	DO j = nys, nyn
	1231	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1232	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1233	tsc(3) * tpt_m(k,j,i) ) &
	1234	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1235	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	1236	ENDDO
[736]	1237	ENDDO
	1238	ENDDO
	1239
	1240	!
[940]	1241	!-- Calculate tendencies for the next Runge-Kutta step
	1242	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1243	IF ( intermediate_timestep_count == 1 ) THEN
	1244	DO i = nxl, nxr
	1245	DO j = nys, nyn
	1246	DO k = nzb_s_inner(j,i)+1, nzt
	1247	tpt_m(k,j,i) = tend(k,j,i)
	1248	ENDDO
[736]	1249	ENDDO
	1250	ENDDO
[940]	1251	ELSEIF ( intermediate_timestep_count < &
	1252	intermediate_timestep_count_max ) THEN
	1253	DO i = nxl, nxr
	1254	DO j = nys, nyn
	1255	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1256	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1257	5.3125_wp * tpt_m(k,j,i)
[940]	1258	ENDDO
[736]	1259	ENDDO
	1260	ENDDO
[940]	1261	ENDIF
[736]	1262	ENDIF
[940]	1263
	1264	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1265
[736]	1266	ENDIF
	1267
	1268	!
	1269	!-- If required, compute prognostic equation for salinity
	1270	IF ( ocean ) THEN
	1271
	1272	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1273
	1274	!
	1275	!-- sa-tendency terms with communication
	1276	sbt = tsc(2)
	1277	IF ( scalar_advec == 'bc-scheme' ) THEN
	1278
	1279	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1280	!
[1001]	1281	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1282	sbt = 1.0_wp
[736]	1283	ENDIF
[1337]	1284	tend = 0.0_wp
[736]	1285	CALL advec_s_bc( sa, 'sa' )
[1001]	1286
[736]	1287	ENDIF
	1288
	1289	!
	1290	!-- sa-tendency terms with no communication
[1001]	1291	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1353]	1292	tend = 0.0_wp
[1001]	1293	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1294	IF ( ws_scheme_sca ) THEN
	1295	CALL advec_s_ws( sa, 'sa' )
	1296	ELSE
	1297	CALL advec_s_pw( sa )
	1298	ENDIF
	1299	ELSE
[1001]	1300	CALL advec_s_up( sa )
[736]	1301	ENDIF
	1302	ENDIF
[1001]	1303
	1304	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[736]	1305
	1306	CALL user_actions( 'sa-tendency' )
	1307
	1308	!
	1309	!-- Prognostic equation for salinity
	1310	DO i = nxl, nxr
	1311	DO j = nys, nyn
	1312	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1313	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1314	tsc(3) * tsa_m(k,j,i) ) &
	1315	- tsc(5) * rdf_sc(k) * &
	1316	( sa(k,j,i) - sa_init(k) )
[1337]	1317	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	1318	ENDDO
	1319	ENDDO
	1320	ENDDO
	1321
	1322	!
	1323	!-- Calculate tendencies for the next Runge-Kutta step
	1324	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1325	IF ( intermediate_timestep_count == 1 ) THEN
	1326	DO i = nxl, nxr
	1327	DO j = nys, nyn
	1328	DO k = nzb_s_inner(j,i)+1, nzt
	1329	tsa_m(k,j,i) = tend(k,j,i)
	1330	ENDDO
	1331	ENDDO
	1332	ENDDO
	1333	ELSEIF ( intermediate_timestep_count < &
	1334	intermediate_timestep_count_max ) THEN
	1335	DO i = nxl, nxr
	1336	DO j = nys, nyn
	1337	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1338	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1339	5.3125_wp * tsa_m(k,j,i)
[736]	1340	ENDDO
	1341	ENDDO
	1342	ENDDO
	1343	ENDIF
	1344	ENDIF
	1345
	1346	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1347
	1348	!
	1349	!-- Calculate density by the equation of state for seawater
	1350	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1351	CALL eqn_state_seawater
	1352	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1353
	1354	ENDIF
	1355
	1356	!
	1357	!-- If required, compute prognostic equation for total water content / scalar
	1358	IF ( humidity .OR. passive_scalar ) THEN
	1359
	1360	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1361
	1362	!
	1363	!-- Scalar/q-tendency terms with communication
	1364	sbt = tsc(2)
	1365	IF ( scalar_advec == 'bc-scheme' ) THEN
	1366
	1367	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1368	!
[1001]	1369	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1370	sbt = 1.0_wp
[736]	1371	ENDIF
[1337]	1372	tend = 0.0_wp
[736]	1373	CALL advec_s_bc( q, 'q' )
[1001]	1374
[736]	1375	ENDIF
	1376
	1377	!
	1378	!-- Scalar/q-tendency terms with no communication
[1001]	1379	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1380	tend = 0.0_wp
[1001]	1381	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1382	IF ( ws_scheme_sca ) THEN
	1383	CALL advec_s_ws( q, 'q' )
	1384	ELSE
	1385	CALL advec_s_pw( q )
	1386	ENDIF
	1387	ELSE
[1001]	1388	CALL advec_s_up( q )
[736]	1389	ENDIF
	1390	ENDIF
[1001]	1391
	1392	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[736]	1393
	1394	!
	1395	!-- If required compute decrease of total water content due to
	1396	!-- precipitation
[1361]	1397	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[736]	1398	CALL calc_precipitation
	1399	ENDIF
	1400
	1401	!
	1402	!-- Sink or source of scalar concentration due to canopy elements
	1403	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
[1365]	1404
[736]	1405	!
[1365]	1406	!-- Large scale advection
	1407	IF ( large_scale_forcing ) THEN
	1408	CALL ls_advec( simulated_time, 'q' )
	1409	ENDIF
	1410
	1411	!
[736]	1412	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1413	IF ( large_scale_subsidence .AND. &
	1414	.NOT. use_subsidence_tendencies ) THEN
	1415	CALL subsidence( tend, q, q_init, 3 )
[736]	1416	ENDIF
	1417
[1241]	1418	!
	1419	!-- Nudging
	1420	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1421
[736]	1422	CALL user_actions( 'q-tendency' )
	1423
	1424	!
	1425	!-- Prognostic equation for total water content / scalar
	1426	DO i = nxl, nxr
	1427	DO j = nys, nyn
	1428	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1429	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1430	tsc(3) * tq_m(k,j,i) ) &
	1431	- tsc(5) * rdf_sc(k) * &
	1432	( q(k,j,i) - q_init(k) )
[1337]	1433	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	1434	ENDDO
	1435	ENDDO
	1436	ENDDO
	1437
	1438	!
	1439	!-- Calculate tendencies for the next Runge-Kutta step
	1440	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1441	IF ( intermediate_timestep_count == 1 ) THEN
	1442	DO i = nxl, nxr
	1443	DO j = nys, nyn
	1444	DO k = nzb_s_inner(j,i)+1, nzt
	1445	tq_m(k,j,i) = tend(k,j,i)
	1446	ENDDO
	1447	ENDDO
	1448	ENDDO
	1449	ELSEIF ( intermediate_timestep_count < &
	1450	intermediate_timestep_count_max ) THEN
	1451	DO i = nxl, nxr
	1452	DO j = nys, nyn
	1453	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1454	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[736]	1455	ENDDO
	1456	ENDDO
	1457	ENDDO
	1458	ENDIF
	1459	ENDIF
	1460
	1461	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1462
[1361]	1463	!
	1464	!-- If required, calculate prognostic equations for rain water content
	1465	!-- and rain drop concentration
	1466	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	1467
	1468	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1469
	1470	!
	1471	!-- Calculate prognostic equation for rain water content
	1472	sbt = tsc(2)
	1473	IF ( scalar_advec == 'bc-scheme' ) THEN
	1474
	1475	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1476	!
	1477	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1478	sbt = 1.0_wp
	1479	ENDIF
	1480	tend = 0.0_wp
	1481	CALL advec_s_bc( qr, 'qr' )
	1482
	1483	ENDIF
	1484
	1485	!
	1486	!-- qr-tendency terms with no communication
	1487	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1488	tend = 0.0_wp
	1489	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1490	IF ( ws_scheme_sca ) THEN
	1491	CALL advec_s_ws( qr, 'qr' )
	1492	ELSE
	1493	CALL advec_s_pw( qr )
	1494	ENDIF
	1495	ELSE
	1496	CALL advec_s_up( qr )
	1497	ENDIF
	1498	ENDIF
	1499
	1500	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1501
	1502	CALL user_actions( 'qr-tendency' )
	1503
	1504	!
	1505	!-- Prognostic equation for rain water content
	1506	DO i = nxl, nxr
	1507	DO j = nys, nyn
	1508	DO k = nzb_s_inner(j,i)+1, nzt
	1509	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1510	tsc(3) * tqr_m(k,j,i) ) &
	1511	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1512	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1513	ENDDO
	1514	ENDDO
	1515	ENDDO
	1516
	1517	!
	1518	!-- Calculate tendencies for the next Runge-Kutta step
	1519	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1520	IF ( intermediate_timestep_count == 1 ) THEN
	1521	DO i = nxl, nxr
	1522	DO j = nys, nyn
	1523	DO k = nzb_s_inner(j,i)+1, nzt
	1524	tqr_m(k,j,i) = tend(k,j,i)
	1525	ENDDO
	1526	ENDDO
	1527	ENDDO
	1528	ELSEIF ( intermediate_timestep_count < &
	1529	intermediate_timestep_count_max ) THEN
	1530	DO i = nxl, nxr
	1531	DO j = nys, nyn
	1532	DO k = nzb_s_inner(j,i)+1, nzt
	1533	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1534	tqr_m(k,j,i)
	1535	ENDDO
	1536	ENDDO
	1537	ENDDO
	1538	ENDIF
	1539	ENDIF
	1540
	1541	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1542	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1543
	1544	!
	1545	!-- Calculate prognostic equation for rain drop concentration
	1546	sbt = tsc(2)
	1547	IF ( scalar_advec == 'bc-scheme' ) THEN
	1548
	1549	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1550	!
	1551	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1552	sbt = 1.0_wp
	1553	ENDIF
	1554	tend = 0.0_wp
	1555	CALL advec_s_bc( nr, 'nr' )
	1556
	1557	ENDIF
	1558
	1559	!
	1560	!-- nr-tendency terms with no communication
	1561	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1562	tend = 0.0_wp
	1563	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1564	IF ( ws_scheme_sca ) THEN
	1565	CALL advec_s_ws( nr, 'nr' )
	1566	ELSE
	1567	CALL advec_s_pw( nr )
	1568	ENDIF
	1569	ELSE
	1570	CALL advec_s_up( nr )
	1571	ENDIF
	1572	ENDIF
	1573
	1574	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1575
	1576	CALL user_actions( 'nr-tendency' )
	1577
	1578	!
	1579	!-- Prognostic equation for rain drop concentration
	1580	DO i = nxl, nxr
	1581	DO j = nys, nyn
	1582	DO k = nzb_s_inner(j,i)+1, nzt
	1583	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1584	tsc(3) * tnr_m(k,j,i) ) &
	1585	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1586	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1587	ENDDO
	1588	ENDDO
	1589	ENDDO
	1590
	1591	!
	1592	!-- Calculate tendencies for the next Runge-Kutta step
	1593	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1594	IF ( intermediate_timestep_count == 1 ) THEN
	1595	DO i = nxl, nxr
	1596	DO j = nys, nyn
	1597	DO k = nzb_s_inner(j,i)+1, nzt
	1598	tnr_m(k,j,i) = tend(k,j,i)
	1599	ENDDO
	1600	ENDDO
	1601	ENDDO
	1602	ELSEIF ( intermediate_timestep_count < &
	1603	intermediate_timestep_count_max ) THEN
	1604	DO i = nxl, nxr
	1605	DO j = nys, nyn
	1606	DO k = nzb_s_inner(j,i)+1, nzt
	1607	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1608	tnr_m(k,j,i)
	1609	ENDDO
	1610	ENDDO
	1611	ENDDO
	1612	ENDIF
	1613	ENDIF
	1614
	1615	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1616
	1617	ENDIF
	1618
[736]	1619	ENDIF
	1620
	1621	!
	1622	!-- If required, compute prognostic equation for turbulent kinetic
	1623	!-- energy (TKE)
	1624	IF ( .NOT. constant_diffusion ) THEN
	1625
	1626	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1627
	1628	sbt = tsc(2)
	1629	IF ( .NOT. use_upstream_for_tke ) THEN
	1630	IF ( scalar_advec == 'bc-scheme' ) THEN
	1631
	1632	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1633	!
[1001]	1634	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1635	sbt = 1.0_wp
[736]	1636	ENDIF
[1337]	1637	tend = 0.0_wp
[736]	1638	CALL advec_s_bc( e, 'e' )
[1001]	1639
[736]	1640	ENDIF
	1641	ENDIF
	1642
	1643	!
	1644	!-- TKE-tendency terms with no communication
[1001]	1645	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
[736]	1646	IF ( use_upstream_for_tke ) THEN
[1337]	1647	tend = 0.0_wp
[736]	1648	CALL advec_s_up( e )
	1649	ELSE
[1337]	1650	tend = 0.0_wp
[1001]	1651	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1652	IF ( ws_scheme_sca ) THEN
	1653	CALL advec_s_ws( e, 'e' )
	1654	ELSE
	1655	CALL advec_s_pw( e )
	1656	ENDIF
	1657	ELSE
[1001]	1658	CALL advec_s_up( e )
[736]	1659	ENDIF
	1660	ENDIF
[1001]	1661	ENDIF
	1662
	1663	IF ( .NOT. humidity ) THEN
	1664	IF ( ocean ) THEN
	1665	CALL diffusion_e( prho, prho_reference )
[736]	1666	ELSE
[1001]	1667	CALL diffusion_e( pt, pt_reference )
[736]	1668	ENDIF
[1001]	1669	ELSE
	1670	CALL diffusion_e( vpt, pt_reference )
[736]	1671	ENDIF
[1001]	1672
[736]	1673	CALL production_e
	1674
	1675	!
	1676	!-- Additional sink term for flows through plant canopies
	1677	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	1678	CALL user_actions( 'e-tendency' )
	1679
	1680	!
	1681	!-- Prognostic equation for TKE.
	1682	!-- Eliminate negative TKE values, which can occur due to numerical
	1683	!-- reasons in the course of the integration. In such cases the old TKE
	1684	!-- value is reduced by 90%.
	1685	DO i = nxl, nxr
	1686	DO j = nys, nyn
	1687	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1688	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1689	tsc(3) * te_m(k,j,i) )
[1337]	1690	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	1691	ENDDO
	1692	ENDDO
	1693	ENDDO
	1694
	1695	!
	1696	!-- Calculate tendencies for the next Runge-Kutta step
	1697	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1698	IF ( intermediate_timestep_count == 1 ) THEN
	1699	DO i = nxl, nxr
	1700	DO j = nys, nyn
	1701	DO k = nzb_s_inner(j,i)+1, nzt
	1702	te_m(k,j,i) = tend(k,j,i)
	1703	ENDDO
	1704	ENDDO
	1705	ENDDO
	1706	ELSEIF ( intermediate_timestep_count < &
	1707	intermediate_timestep_count_max ) THEN
	1708	DO i = nxl, nxr
	1709	DO j = nys, nyn
	1710	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1711	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[736]	1712	ENDDO
	1713	ENDDO
	1714	ENDDO
	1715	ENDIF
	1716	ENDIF
	1717
	1718	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1719
	1720	ENDIF
	1721
	1722	END SUBROUTINE prognostic_equations_vector
	1723
	1724
[1015]	1725	SUBROUTINE prognostic_equations_acc
	1726
	1727	!------------------------------------------------------------------------------!
	1728	! Version for accelerator boards
	1729	!------------------------------------------------------------------------------!
	1730
	1731	IMPLICIT NONE
	1732
[1320]	1733	INTEGER(iwp) :: i !:
	1734	INTEGER(iwp) :: j !:
	1735	INTEGER(iwp) :: k !:
	1736	INTEGER(iwp) :: runge_step !:
[1015]	1737
[1320]	1738	REAL(wp) :: sbt !:
	1739
[1015]	1740	!
	1741	!-- Set switch for intermediate Runge-Kutta step
	1742	runge_step = 0
	1743	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1744	IF ( intermediate_timestep_count == 1 ) THEN
	1745	runge_step = 1
	1746	ELSEIF ( intermediate_timestep_count < &
	1747	intermediate_timestep_count_max ) THEN
	1748	runge_step = 2
	1749	ENDIF
	1750	ENDIF
	1751
	1752	!
[1361]	1753	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	1754	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	1755	( intermediate_timestep_count == 1 .OR. &
	1756	call_microphysics_at_all_substeps ) &
	1757	) THEN
	1758	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1759	CALL microphysics_control
	1760	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1761	ENDIF
	1762
	1763	!
[1015]	1764	!-- u-velocity component
[1374]	1765	!++ Statistics still not completely ported to accelerators
[1179]	1766	!$acc update device( hom, ref_state )
[1015]	1767	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1768
	1769	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1770	IF ( ws_scheme_mom ) THEN
	1771	CALL advec_u_ws_acc
	1772	ELSE
[1337]	1773	tend = 0.0_wp ! to be removed later??
[1015]	1774	CALL advec_u_pw
	1775	ENDIF
	1776	ELSE
	1777	CALL advec_u_up
	1778	ENDIF
	1779	CALL diffusion_u_acc
	1780	CALL coriolis_acc( 1 )
	1781	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	1782	CALL buoyancy( pt, 1 )
[1015]	1783	ENDIF
	1784
	1785	!
	1786	!-- Drag by plant canopy
	1787	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	1788
	1789	!
	1790	!-- External pressure gradient
	1791	IF ( dp_external ) THEN
[1128]	1792	DO i = i_left, i_right
	1793	DO j = j_south, j_north
[1015]	1794	DO k = dp_level_ind_b+1, nzt
	1795	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1796	ENDDO
	1797	ENDDO
	1798	ENDDO
	1799	ENDIF
	1800
[1246]	1801	!
	1802	!-- Nudging
	1803	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1804
[1015]	1805	CALL user_actions( 'u-tendency' )
	1806
	1807	!
	1808	!-- Prognostic equation for u-velocity component
	1809	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, ug, u_p )
[1257]	1810	!$acc loop independent
[1128]	1811	DO i = i_left, i_right
[1257]	1812	!$acc loop independent
[1128]	1813	DO j = j_south, j_north
[1257]	1814	!$acc loop independent
[1015]	1815	DO k = 1, nzt
	1816	IF ( k > nzb_u_inner(j,i) ) THEN
	1817	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1818	tsc(3) * tu_m(k,j,i) ) &
	1819	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
	1820	!
	1821	!-- Tendencies for the next Runge-Kutta step
	1822	IF ( runge_step == 1 ) THEN
	1823	tu_m(k,j,i) = tend(k,j,i)
	1824	ELSEIF ( runge_step == 2 ) THEN
[1337]	1825	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[1015]	1826	ENDIF
	1827	ENDIF
	1828	ENDDO
	1829	ENDDO
	1830	ENDDO
	1831	!$acc end kernels
	1832
	1833	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1834
	1835	!
	1836	!-- v-velocity component
	1837	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1838
	1839	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1840	IF ( ws_scheme_mom ) THEN
	1841	CALL advec_v_ws_acc
	1842	ELSE
[1337]	1843	tend = 0.0_wp ! to be removed later??
[1015]	1844	CALL advec_v_pw
	1845	END IF
	1846	ELSE
	1847	CALL advec_v_up
	1848	ENDIF
	1849	CALL diffusion_v_acc
	1850	CALL coriolis_acc( 2 )
	1851
	1852	!
	1853	!-- Drag by plant canopy
	1854	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1855
	1856	!
	1857	!-- External pressure gradient
	1858	IF ( dp_external ) THEN
[1128]	1859	DO i = i_left, i_right
	1860	DO j = j_south, j_north
[1015]	1861	DO k = dp_level_ind_b+1, nzt
	1862	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1863	ENDDO
	1864	ENDDO
	1865	ENDDO
	1866	ENDIF
	1867
[1246]	1868	!
	1869	!-- Nudging
	1870	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1871
[1015]	1872	CALL user_actions( 'v-tendency' )
	1873
	1874	!
	1875	!-- Prognostic equation for v-velocity component
	1876	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, vg, v_p )
[1257]	1877	!$acc loop independent
[1128]	1878	DO i = i_left, i_right
[1257]	1879	!$acc loop independent
[1128]	1880	DO j = j_south, j_north
[1257]	1881	!$acc loop independent
[1015]	1882	DO k = 1, nzt
	1883	IF ( k > nzb_v_inner(j,i) ) THEN
	1884	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1885	tsc(3) * tv_m(k,j,i) ) &
	1886	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
	1887	!
	1888	!-- Tendencies for the next Runge-Kutta step
	1889	IF ( runge_step == 1 ) THEN
	1890	tv_m(k,j,i) = tend(k,j,i)
	1891	ELSEIF ( runge_step == 2 ) THEN
[1337]	1892	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[1015]	1893	ENDIF
	1894	ENDIF
	1895	ENDDO
	1896	ENDDO
	1897	ENDDO
	1898	!$acc end kernels
	1899
	1900	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1901
	1902	!
	1903	!-- w-velocity component
	1904	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1905
	1906	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1907	IF ( ws_scheme_mom ) THEN
	1908	CALL advec_w_ws_acc
	1909	ELSE
[1337]	1910	tend = 0.0_wp ! to be removed later??
[1015]	1911	CALL advec_w_pw
	1912	ENDIF
	1913	ELSE
	1914	CALL advec_w_up
	1915	ENDIF
	1916	CALL diffusion_w_acc
	1917	CALL coriolis_acc( 3 )
	1918
	1919	IF ( .NOT. neutral ) THEN
	1920	IF ( ocean ) THEN
[1179]	1921	CALL buoyancy( rho, 3 )
[1015]	1922	ELSE
	1923	IF ( .NOT. humidity ) THEN
[1179]	1924	CALL buoyancy_acc( pt, 3 )
[1015]	1925	ELSE
[1179]	1926	CALL buoyancy( vpt, 3 )
[1015]	1927	ENDIF
	1928	ENDIF
	1929	ENDIF
	1930
	1931	!
	1932	!-- Drag by plant canopy
	1933	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1934
	1935	CALL user_actions( 'w-tendency' )
	1936
	1937	!
	1938	!-- Prognostic equation for w-velocity component
	1939	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
[1257]	1940	!$acc loop independent
[1128]	1941	DO i = i_left, i_right
[1257]	1942	!$acc loop independent
[1128]	1943	DO j = j_south, j_north
[1257]	1944	!$acc loop independent
[1015]	1945	DO k = 1, nzt-1
	1946	IF ( k > nzb_w_inner(j,i) ) THEN
	1947	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1948	tsc(3) * tw_m(k,j,i) ) &
	1949	- tsc(5) * rdf(k) * w(k,j,i)
	1950	!
	1951	!-- Tendencies for the next Runge-Kutta step
	1952	IF ( runge_step == 1 ) THEN
	1953	tw_m(k,j,i) = tend(k,j,i)
	1954	ELSEIF ( runge_step == 2 ) THEN
[1337]	1955	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[1015]	1956	ENDIF
	1957	ENDIF
	1958	ENDDO
	1959	ENDDO
	1960	ENDDO
	1961	!$acc end kernels
	1962
	1963	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1964
	1965
	1966	!
	1967	!-- If required, compute prognostic equation for potential temperature
	1968	IF ( .NOT. neutral ) THEN
	1969
	1970	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1971
	1972	!
	1973	!-- pt-tendency terms with communication
	1974	sbt = tsc(2)
	1975	IF ( scalar_advec == 'bc-scheme' ) THEN
	1976
	1977	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1978	!
	1979	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1980	sbt = 1.0_wp
[1015]	1981	ENDIF
[1337]	1982	tend = 0.0_wp
[1015]	1983	CALL advec_s_bc( pt, 'pt' )
	1984
	1985	ENDIF
	1986
	1987	!
	1988	!-- pt-tendency terms with no communication
	1989	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1990	tend = 0.0_wp
[1015]	1991	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1992	IF ( ws_scheme_sca ) THEN
	1993	CALL advec_s_ws_acc( pt, 'pt' )
	1994	ELSE
[1337]	1995	tend = 0.0_wp ! to be removed later??
[1015]	1996	CALL advec_s_pw( pt )
	1997	ENDIF
	1998	ELSE
	1999	CALL advec_s_up( pt )
	2000	ENDIF
	2001	ENDIF
	2002
	2003	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2004
	2005	!
	2006	!-- If required compute heating/cooling due to long wave radiation processes
	2007	IF ( radiation ) THEN
	2008	CALL calc_radiation
	2009	ENDIF
	2010
	2011	!
	2012	!-- If required compute impact of latent heat due to precipitation
[1361]	2013	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2014	CALL impact_of_latent_heat
	2015	ENDIF
	2016
	2017	!
	2018	!-- Consideration of heat sources within the plant canopy
[1337]	2019	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[1015]	2020	CALL plant_canopy_model( 4 )
	2021	ENDIF
	2022
	2023	!
[1365]	2024	!-- Large scale advection
	2025	IF ( large_scale_forcing ) THEN
	2026	CALL ls_advec( simulated_time, 'pt' )
	2027	ENDIF
	2028
	2029	!
[1015]	2030	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2031	IF ( large_scale_subsidence .AND. &
	2032	.NOT. use_subsidence_tendencies ) THEN
	2033	CALL subsidence( tend, pt, pt_init, 2 )
[1015]	2034	ENDIF
	2035
[1246]	2036	!
	2037	!-- Nudging
	2038	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2039
[1015]	2040	CALL user_actions( 'pt-tendency' )
	2041
	2042	!
	2043	!-- Prognostic equation for potential temperature
	2044	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2045	!$acc present( tend, tpt_m, pt, pt_p )
[1257]	2046	!$acc loop independent
[1128]	2047	DO i = i_left, i_right
[1257]	2048	!$acc loop independent
[1128]	2049	DO j = j_south, j_north
[1257]	2050	!$acc loop independent
[1015]	2051	DO k = 1, nzt
	2052	IF ( k > nzb_s_inner(j,i) ) THEN
	2053	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2054	tsc(3) * tpt_m(k,j,i) ) &
	2055	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2056	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2057	!
	2058	!-- Tendencies for the next Runge-Kutta step
	2059	IF ( runge_step == 1 ) THEN
	2060	tpt_m(k,j,i) = tend(k,j,i)
	2061	ELSEIF ( runge_step == 2 ) THEN
[1337]	2062	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
[1015]	2063	ENDIF
	2064	ENDIF
	2065	ENDDO
	2066	ENDDO
	2067	ENDDO
	2068	!$acc end kernels
	2069
	2070	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2071
	2072	ENDIF
	2073
	2074	!
	2075	!-- If required, compute prognostic equation for salinity
	2076	IF ( ocean ) THEN
	2077
	2078	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2079
	2080	!
	2081	!-- sa-tendency terms with communication
	2082	sbt = tsc(2)
	2083	IF ( scalar_advec == 'bc-scheme' ) THEN
	2084
	2085	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2086	!
	2087	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2088	sbt = 1.0_wp
[1015]	2089	ENDIF
[1337]	2090	tend = 0.0_wp
[1015]	2091	CALL advec_s_bc( sa, 'sa' )
	2092
	2093	ENDIF
	2094
	2095	!
	2096	!-- sa-tendency terms with no communication
	2097	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2098	tend = 0.0_wp
[1015]	2099	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2100	IF ( ws_scheme_sca ) THEN
	2101	CALL advec_s_ws( sa, 'sa' )
	2102	ELSE
	2103	CALL advec_s_pw( sa )
	2104	ENDIF
	2105	ELSE
	2106	CALL advec_s_up( sa )
	2107	ENDIF
	2108	ENDIF
	2109
	2110	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2111
	2112	CALL user_actions( 'sa-tendency' )
	2113
	2114	!
	2115	!-- Prognostic equation for salinity
[1128]	2116	DO i = i_left, i_right
	2117	DO j = j_south, j_north
[1015]	2118	DO k = nzb_s_inner(j,i)+1, nzt
	2119	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2120	tsc(3) * tsa_m(k,j,i) ) &
	2121	- tsc(5) * rdf_sc(k) * &
	2122	( sa(k,j,i) - sa_init(k) )
[1337]	2123	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[1015]	2124	!
	2125	!-- Tendencies for the next Runge-Kutta step
	2126	IF ( runge_step == 1 ) THEN
	2127	tsa_m(k,j,i) = tend(k,j,i)
	2128	ELSEIF ( runge_step == 2 ) THEN
[1337]	2129	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
[1015]	2130	ENDIF
	2131	ENDDO
	2132	ENDDO
	2133	ENDDO
	2134
	2135	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2136
	2137	!
	2138	!-- Calculate density by the equation of state for seawater
	2139	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2140	CALL eqn_state_seawater
	2141	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2142
	2143	ENDIF
	2144
	2145	!
	2146	!-- If required, compute prognostic equation for total water content / scalar
	2147	IF ( humidity .OR. passive_scalar ) THEN
	2148
	2149	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2150
	2151	!
	2152	!-- Scalar/q-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( q, 'q' )
	2163
	2164	ENDIF
	2165
	2166	!
	2167	!-- Scalar/q-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( q, 'q' )
	2173	ELSE
	2174	CALL advec_s_pw( q )
	2175	ENDIF
	2176	ELSE
	2177	CALL advec_s_up( q )
	2178	ENDIF
	2179	ENDIF
	2180
	2181	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2182
	2183	!
	2184	!-- If required compute decrease of total water content due to
	2185	!-- precipitation
[1361]	2186	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2187	CALL calc_precipitation
	2188	ENDIF
	2189
	2190	!
	2191	!-- Sink or source of scalar concentration due to canopy elements
	2192	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
	2193
	2194	!
[1365]	2195	!-- Large scale advection
	2196	IF ( large_scale_forcing ) THEN
	2197	CALL ls_advec( simulated_time, 'q' )
	2198	ENDIF
	2199
	2200	!
[1015]	2201	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2202	IF ( large_scale_subsidence .AND. &
	2203	.NOT. use_subsidence_tendencies ) THEN
	2204	CALL subsidence( tend, q, q_init, 3 )
[1015]	2205	ENDIF
	2206
[1246]	2207	!
	2208	!-- Nudging
	2209	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2210
[1015]	2211	CALL user_actions( 'q-tendency' )
	2212
	2213	!
	2214	!-- Prognostic equation for total water content / scalar
[1128]	2215	DO i = i_left, i_right
	2216	DO j = j_south, j_north
[1015]	2217	DO k = nzb_s_inner(j,i)+1, nzt
	2218	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2219	tsc(3) * tq_m(k,j,i) ) &
	2220	- tsc(5) * rdf_sc(k) * &
	2221	( q(k,j,i) - q_init(k) )
[1337]	2222	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[1015]	2223	!
	2224	!-- Tendencies for the next Runge-Kutta step
	2225	IF ( runge_step == 1 ) THEN
	2226	tq_m(k,j,i) = tend(k,j,i)
	2227	ELSEIF ( runge_step == 2 ) THEN
[1337]	2228	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[1015]	2229	ENDIF
	2230	ENDDO
	2231	ENDDO
	2232	ENDDO
	2233
	2234	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2235
[1361]	2236	!
	2237	!-- If required, calculate prognostic equations for rain water content
	2238	!-- and rain drop concentration
	2239	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	2240
	2241	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2242	!
	2243	!-- qr-tendency terms with communication
	2244	sbt = tsc(2)
	2245	IF ( scalar_advec == 'bc-scheme' ) THEN
	2246
	2247	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2248	!
	2249	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2250	sbt = 1.0_wp
	2251	ENDIF
	2252	tend = 0.0_wp
	2253	CALL advec_s_bc( qr, 'qr' )
	2254
	2255	ENDIF
	2256
	2257	!
	2258	!-- qr-tendency terms with no communication
	2259	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2260	tend = 0.0_wp
	2261	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2262	IF ( ws_scheme_sca ) THEN
	2263	CALL advec_s_ws( qr, 'qr' )
	2264	ELSE
	2265	CALL advec_s_pw( qr )
	2266	ENDIF
	2267	ELSE
	2268	CALL advec_s_up( qr )
	2269	ENDIF
	2270	ENDIF
	2271
	2272	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2273
	2274	CALL user_actions( 'qr-tendency' )
	2275
	2276	!
	2277	!-- Prognostic equation for rain water content
	2278	DO i = i_left, i_right
	2279	DO j = j_south, j_north
	2280	DO k = nzb_s_inner(j,i)+1, nzt
	2281	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2282	tsc(3) * tqr_m(k,j,i) ) &
	2283	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2284	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2285	!
	2286	!-- Tendencies for the next Runge-Kutta step
	2287	IF ( runge_step == 1 ) THEN
	2288	tqr_m(k,j,i) = tend(k,j,i)
	2289	ELSEIF ( runge_step == 2 ) THEN
	2290	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2291	tqr_m(k,j,i)
	2292	ENDIF
	2293	ENDDO
	2294	ENDDO
	2295	ENDDO
	2296
	2297	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2298	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2299
	2300	!
	2301	!-- nr-tendency terms with communication
	2302	sbt = tsc(2)
	2303	IF ( scalar_advec == 'bc-scheme' ) THEN
	2304
	2305	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2306	!
	2307	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2308	sbt = 1.0_wp
	2309	ENDIF
	2310	tend = 0.0_wp
	2311	CALL advec_s_bc( nr, 'nr' )
	2312
	2313	ENDIF
	2314
	2315	!
	2316	!-- nr-tendency terms with no communication
	2317	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2318	tend = 0.0_wp
	2319	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2320	IF ( ws_scheme_sca ) THEN
	2321	CALL advec_s_ws( nr, 'nr' )
	2322	ELSE
	2323	CALL advec_s_pw( nr )
	2324	ENDIF
	2325	ELSE
	2326	CALL advec_s_up( nr )
	2327	ENDIF
	2328	ENDIF
	2329
	2330	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2331
	2332	CALL user_actions( 'nr-tendency' )
	2333
	2334	!
	2335	!-- Prognostic equation for rain drop concentration
	2336	DO i = i_left, i_right
	2337	DO j = j_south, j_north
	2338	DO k = nzb_s_inner(j,i)+1, nzt
	2339	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2340	tsc(3) * tnr_m(k,j,i) ) &
	2341	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2342	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2343	!
	2344	!-- Tendencies for the next Runge-Kutta step
	2345	IF ( runge_step == 1 ) THEN
	2346	tnr_m(k,j,i) = tend(k,j,i)
	2347	ELSEIF ( runge_step == 2 ) THEN
	2348	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2349	tnr_m(k,j,i)
	2350	ENDIF
	2351	ENDDO
	2352	ENDDO
	2353	ENDDO
	2354
	2355	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2356
	2357	ENDIF
	2358
[1015]	2359	ENDIF
	2360
	2361	!
	2362	!-- If required, compute prognostic equation for turbulent kinetic
	2363	!-- energy (TKE)
	2364	IF ( .NOT. constant_diffusion ) THEN
	2365
	2366	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2367
	2368	sbt = tsc(2)
	2369	IF ( .NOT. use_upstream_for_tke ) THEN
	2370	IF ( scalar_advec == 'bc-scheme' ) THEN
	2371
	2372	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2373	!
	2374	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2375	sbt = 1.0_wp
[1015]	2376	ENDIF
[1337]	2377	tend = 0.0_wp
[1015]	2378	CALL advec_s_bc( e, 'e' )
	2379
	2380	ENDIF
	2381	ENDIF
	2382
	2383	!
	2384	!-- TKE-tendency terms with no communication
	2385	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2386	IF ( use_upstream_for_tke ) THEN
[1337]	2387	tend = 0.0_wp
[1015]	2388	CALL advec_s_up( e )
	2389	ELSE
	2390	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2391	IF ( ws_scheme_sca ) THEN
	2392	CALL advec_s_ws_acc( e, 'e' )
	2393	ELSE
[1337]	2394	tend = 0.0_wp ! to be removed later??
[1015]	2395	CALL advec_s_pw( e )
	2396	ENDIF
	2397	ELSE
[1337]	2398	tend = 0.0_wp ! to be removed later??
[1015]	2399	CALL advec_s_up( e )
	2400	ENDIF
	2401	ENDIF
	2402	ENDIF
	2403
	2404	IF ( .NOT. humidity ) THEN
	2405	IF ( ocean ) THEN
	2406	CALL diffusion_e( prho, prho_reference )
	2407	ELSE
	2408	CALL diffusion_e_acc( pt, pt_reference )
	2409	ENDIF
	2410	ELSE
	2411	CALL diffusion_e( vpt, pt_reference )
	2412	ENDIF
	2413
	2414	CALL production_e_acc
	2415
	2416	!
	2417	!-- Additional sink term for flows through plant canopies
	2418	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	2419	CALL user_actions( 'e-tendency' )
	2420
	2421	!
	2422	!-- Prognostic equation for TKE.
	2423	!-- Eliminate negative TKE values, which can occur due to numerical
	2424	!-- reasons in the course of the integration. In such cases the old TKE
	2425	!-- value is reduced by 90%.
	2426	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
[1257]	2427	!$acc loop independent
[1128]	2428	DO i = i_left, i_right
[1257]	2429	!$acc loop independent
[1128]	2430	DO j = j_south, j_north
[1257]	2431	!$acc loop independent
[1015]	2432	DO k = 1, nzt
	2433	IF ( k > nzb_s_inner(j,i) ) THEN
	2434	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2435	tsc(3) * te_m(k,j,i) )
[1337]	2436	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[1015]	2437	!
	2438	!-- Tendencies for the next Runge-Kutta step
	2439	IF ( runge_step == 1 ) THEN
	2440	te_m(k,j,i) = tend(k,j,i)
	2441	ELSEIF ( runge_step == 2 ) THEN
[1337]	2442	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[1015]	2443	ENDIF
	2444	ENDIF
	2445	ENDDO
	2446	ENDDO
	2447	ENDDO
	2448	!$acc end kernels
	2449
	2450	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2451
	2452	ENDIF
	2453
	2454	END SUBROUTINE prognostic_equations_acc
	2455
	2456
[736]	2457	END MODULE prognostic_equations_mod

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