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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1380

Last change on this file since 1380 was 1380, checked in by heinze, 11 years ago
Upper boundary conditions for pt and q in case of nudging adjusted
Property svn:keywords set to `Id`
File size: 83.0 KB

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

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