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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1487

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

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