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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1417

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

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