Home

Context Navigation

source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1998

Last change on this file since 1998 was 1977, checked in by maronga, 8 years ago
last commit documented
Property svn:keywords set to `Id`
File size: 91.1 KB

Rev	Line
[1873]	1	!> @file prognostic_equations.f90
[1875]	2	!--------------------------------------------------------------------------------!
	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
	17	!--------------------------------------------------------------------------------!
	18	!
	19	! Current revisions:
	20	! ------------------
[1827]	21	!
[1977]	22	!
[1875]	23	! Former revisions:
	24	! -----------------
	25	! $Id: prognostic_equations.f90 1977 2016-07-27 13:28:18Z knoop $
	26	!
[1977]	27	! 1976 2016-07-27 13:28:04Z maronga
	28	! Simplied calls to radiation model
	29	!
[1961]	30	! 1960 2016-07-12 16:34:24Z suehring
	31	! Separate humidity and passive scalar
	32	!
[1917]	33	! 1914 2016-05-26 14:44:07Z witha
	34	! Added calls for wind turbine model
	35	!
[1874]	36	! 1873 2016-04-18 14:50:06Z maronga
	37	! Module renamed (removed _mod)
	38	!
[1851]	39	! 1850 2016-04-08 13:29:27Z maronga
	40	! Module renamed
	41	!
[1827]	42	! 1826 2016-04-07 12:01:39Z maronga
[1875]	43	! Renamed canopy model calls.
	44	!
	45	! 1822 2016-04-07 07:49:42Z hoffmann
	46	! Kessler microphysics scheme moved to microphysics.
	47	!
	48	! 1757 2016-02-22 15:49:32Z maronga
	49	!
	50	! 1691 2015-10-26 16:17:44Z maronga
	51	! Added optional model spin-up without radiation / land surface model calls.
	52	! Formatting corrections.
	53	!
	54	! 1682 2015-10-07 23:56:08Z knoop
	55	! Code annotations made doxygen readable
	56	!
	57	! 1585 2015-04-30 07:05:52Z maronga
	58	! Added call for temperature tendency calculation due to radiative flux divergence
	59	!
	60	! 1517 2015-01-07 19:12:25Z hoffmann
	61	! advec_s_bc_mod addded, since advec_s_bc is now a module
	62	!
	63	! 1496 2014-12-02 17:25:50Z maronga
	64	! Renamed "radiation" -> "cloud_top_radiation"
	65	!
	66	! 1484 2014-10-21 10:53:05Z kanani
	67	! Changes due to new module structure of the plant canopy model:
	68	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	69	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	70	! control_parameters
	71	!
	72	! 1409 2014-05-23 12:11:32Z suehring
	73	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
	74	! This ensures that left-hand side fluxes are also calculated for nxl in that
	75	! case, even though the solution at nxl is overwritten in boundary_conds()
	76	!
	77	! 1398 2014-05-07 11:15:00Z heinze
	78	! Rayleigh-damping for horizontal velocity components changed: instead of damping
	79	! against ug and vg, damping against u_init and v_init is used to allow for a
	80	! homogenized treatment in case of nudging
	81	!
	82	! 1380 2014-04-28 12:40:45Z heinze
	83	! Change order of calls for scalar prognostic quantities:
	84	! ls_advec -> nudging -> subsidence since initial profiles
	85	!
	86	! 1374 2014-04-25 12:55:07Z raasch
	87	! missing variables added to ONLY lists
	88	!
	89	! 1365 2014-04-22 15:03:56Z boeske
	90	! Calls of ls_advec for large scale advection added,
	91	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	92	! new argument ls_index added to the calls of subsidence
	93	! +ls_index
	94	!
	95	! 1361 2014-04-16 15:17:48Z hoffmann
	96	! Two-moment microphysics moved to the start of prognostic equations. This makes
	97	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	98	! Additionally, it is allowed to call the microphysics just once during the time
	99	! step (not at each sub-time step).
	100	!
	101	! Two-moment cloud physics added for vector and accelerator optimization.
	102	!
	103	! 1353 2014-04-08 15:21:23Z heinze
	104	! REAL constants provided with KIND-attribute
	105	!
	106	! 1337 2014-03-25 15:11:48Z heinze
	107	! Bugfix: REAL constants provided with KIND-attribute
	108	!
	109	! 1332 2014-03-25 11:59:43Z suehring
	110	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	111	!
	112	! 1330 2014-03-24 17:29:32Z suehring
	113	! In case of SGS-particle velocity advection of TKE is also allowed with
	114	! dissipative 5th-order scheme.
	115	!
	116	! 1320 2014-03-20 08:40:49Z raasch
	117	! ONLY-attribute added to USE-statements,
	118	! kind-parameters added to all INTEGER and REAL declaration statements,
	119	! kinds are defined in new module kinds,
	120	! old module precision_kind is removed,
	121	! revision history before 2012 removed,
	122	! comment fields (!:) to be used for variable explanations added to
	123	! all variable declaration statements
	124	!
	125	! 1318 2014-03-17 13:35:16Z raasch
	126	! module interfaces removed
	127	!
	128	! 1257 2013-11-08 15:18:40Z raasch
	129	! openacc loop vector clauses removed, independent clauses added
	130	!
	131	! 1246 2013-11-01 08:59:45Z heinze
	132	! enable nudging also for accelerator version
	133	!
	134	! 1241 2013-10-30 11:36:58Z heinze
	135	! usage of nudging enabled (so far not implemented for accelerator version)
	136	!
	137	! 1179 2013-06-14 05:57:58Z raasch
	138	! two arguments removed from routine buoyancy, ref_state updated on device
	139	!
	140	! 1128 2013-04-12 06:19:32Z raasch
	141	! those parts requiring global communication moved to time_integration,
	142	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	143	! j_north
	144	!
	145	! 1115 2013-03-26 18:16:16Z hoffmann
	146	! optimized cloud physics: calculation of microphysical tendencies transfered
	147	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	148	!
	149	! 1111 2013-03-08 23:54:10Z raasch
	150	! update directives for prognostic quantities removed
	151	!
	152	! 1106 2013-03-04 05:31:38Z raasch
	153	! small changes in code formatting
	154	!
	155	! 1092 2013-02-02 11:24:22Z raasch
	156	! unused variables removed
	157	!
	158	! 1053 2012-11-13 17:11:03Z hoffmann
	159	! implementation of two new prognostic equations for rain drop concentration (nr)
	160	! and rain water content (qr)
	161	!
	162	! currently, only available for cache loop optimization
	163	!
	164	! 1036 2012-10-22 13:43:42Z raasch
	165	! code put under GPL (PALM 3.9)
	166	!
	167	! 1019 2012-09-28 06:46:45Z raasch
	168	! non-optimized version of prognostic_equations removed
	169	!
	170	! 1015 2012-09-27 09:23:24Z raasch
	171	! new branch prognostic_equations_acc
	172	! OpenACC statements added + code changes required for GPU optimization
	173	!
	174	! 1001 2012-09-13 14:08:46Z raasch
	175	! all actions concerning leapfrog- and upstream-spline-scheme removed
	176	!
	177	! 978 2012-08-09 08:28:32Z fricke
	178	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	179	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	180	! boundary in case of non-cyclic lateral boundaries
	181	! Bugfix: first thread index changes for WS-scheme at the inflow
	182	!
	183	! 940 2012-07-09 14:31:00Z raasch
	184	! temperature equation can be switched off
	185	!
	186	! Revision 1.1 2000/04/13 14:56:27 schroeter
	187	! Initial revision
	188	!
	189	!
	190	! Description:
	191	! ------------
	192	!> Solving the prognostic equations.
	193	!------------------------------------------------------------------------------!
	194	MODULE prognostic_equations_mod
	195
	196
	197
	198	USE arrays_3d, &
	199	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
[1960]	200	diss_l_s, diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	201	diss_s_qr, diss_s_s, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, &
	202	flux_s_pt, flux_s_q, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, &
	203	flux_l_nr, flux_l_pt, flux_l_q, flux_l_qr, flux_l_s, flux_l_sa, &
	204	nr, nr_p, nrsws, nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, &
	205	prho, q, q_init, q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf,&
	206	rdf_sc, ref_state, rho, s, s_init, s_p, sa, sa_init, sa_p, &
	207	saswsb, saswst, shf, ssws, sswst, tend, &
	208	te_m, tnr_m, tpt_m, tq_m, tqr_m, ts_m, tsa_m, tswst, tu_m, tv_m,&
[1875]	209	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
	210
	211	USE control_parameters, &
	212	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	213	cloud_top_radiation, constant_diffusion, dp_external, &
	214	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	215	inflow_l, intermediate_timestep_count, &
	216	intermediate_timestep_count_max, large_scale_forcing, &
	217	large_scale_subsidence, microphysics_seifert, &
	218	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	219	outflow_s, passive_scalar, prho_reference, prho_reference, &
	220	prho_reference, pt_reference, pt_reference, pt_reference, &
	221	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
	222	timestep_scheme, tsc, use_subsidence_tendencies, &
	223	use_upstream_for_tke, wall_heatflux, &
	224	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
[1960]	225	wall_salinityflux, wall_sflux, ws_scheme_mom, ws_scheme_sca
[1875]	226
	227	USE cpulog, &
	228	ONLY: cpu_log, log_point
	229
	230	USE eqn_state_seawater_mod, &
	231	ONLY: eqn_state_seawater
	232
	233	USE indices, &
	234	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	235	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	236
	237	USE advec_ws, &
	238	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	239	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	240
	241	USE advec_s_bc_mod, &
	242	ONLY: advec_s_bc
	243
	244	USE advec_s_pw_mod, &
	245	ONLY: advec_s_pw
	246
	247	USE advec_s_up_mod, &
	248	ONLY: advec_s_up
	249
	250	USE advec_u_pw_mod, &
	251	ONLY: advec_u_pw
	252
	253	USE advec_u_up_mod, &
	254	ONLY: advec_u_up
	255
	256	USE advec_v_pw_mod, &
	257	ONLY: advec_v_pw
	258
	259	USE advec_v_up_mod, &
	260	ONLY: advec_v_up
	261
	262	USE advec_w_pw_mod, &
	263	ONLY: advec_w_pw
	264
	265	USE advec_w_up_mod, &
	266	ONLY: advec_w_up
	267
	268	USE buoyancy_mod, &
	269	ONLY: buoyancy, buoyancy_acc
	270
	271	USE calc_radiation_mod, &
	272	ONLY: calc_radiation
	273
	274	USE coriolis_mod, &
	275	ONLY: coriolis, coriolis_acc
	276
	277	USE diffusion_e_mod, &
	278	ONLY: diffusion_e, diffusion_e_acc
	279
	280	USE diffusion_s_mod, &
	281	ONLY: diffusion_s, diffusion_s_acc
	282
	283	USE diffusion_u_mod, &
	284	ONLY: diffusion_u, diffusion_u_acc
	285
	286	USE diffusion_v_mod, &
	287	ONLY: diffusion_v, diffusion_v_acc
	288
	289	USE diffusion_w_mod, &
	290	ONLY: diffusion_w, diffusion_w_acc
	291
	292	USE kinds
	293
	294	USE ls_forcing_mod, &
	295	ONLY: ls_advec
	296
	297	USE microphysics_mod, &
	298	ONLY: microphysics_control
	299
	300	USE nudge_mod, &
	301	ONLY: nudge
	302
	303	USE plant_canopy_model_mod, &
	304	ONLY: cthf, plant_canopy, pcm_tendency
	305
	306	USE production_e_mod, &
	307	ONLY: production_e, production_e_acc
	308
	309	USE radiation_model_mod, &
[1976]	310	ONLY: radiation, radiation_tendency, &
[1875]	311	skip_time_do_radiation
	312
	313	USE statistics, &
	314	ONLY: hom
	315
	316	USE subsidence_mod, &
	317	ONLY: subsidence
	318
	319	USE user_actions_mod, &
	320	ONLY: user_actions
	321
[1914]	322	USE wind_turbine_model_mod, &
	323	ONLY: wind_turbine, wtm_tendencies
[1875]	324
[1914]	325
[1875]	326	PRIVATE
	327	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	328	prognostic_equations_acc
	329
	330	INTERFACE prognostic_equations_cache
	331	MODULE PROCEDURE prognostic_equations_cache
	332	END INTERFACE prognostic_equations_cache
	333
	334	INTERFACE prognostic_equations_vector
	335	MODULE PROCEDURE prognostic_equations_vector
	336	END INTERFACE prognostic_equations_vector
	337
	338	INTERFACE prognostic_equations_acc
	339	MODULE PROCEDURE prognostic_equations_acc
	340	END INTERFACE prognostic_equations_acc
	341
	342
	343	CONTAINS
	344
	345
	346	!------------------------------------------------------------------------------!
	347	! Description:
	348	! ------------
	349	!> Version with one optimized loop over all equations. It is only allowed to
	350	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	351	!>
	352	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	353	!> so communication between CPUs is not allowed (does not make sense) within
	354	!> these loops.
	355	!>
	356	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	357	!------------------------------------------------------------------------------!
	358
	359	SUBROUTINE prognostic_equations_cache
	360
	361
	362	IMPLICIT NONE
	363
	364	INTEGER(iwp) :: i !<
	365	INTEGER(iwp) :: i_omp_start !<
	366	INTEGER(iwp) :: j !<
	367	INTEGER(iwp) :: k !<
	368	INTEGER(iwp) :: omp_get_thread_num !<
	369	INTEGER(iwp) :: tn = 0 !<
	370
	371	LOGICAL :: loop_start !<
	372
	373
	374	!
	375	!-- Time measurement can only be performed for the whole set of equations
	376	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	377
	378	!
	379	!-- Loop over all prognostic equations
	380	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	381
	382	!$ tn = omp_get_thread_num()
	383	loop_start = .TRUE.
	384	!$OMP DO
	385	DO i = nxl, nxr
	386
	387	!
	388	!-- Store the first loop index. It differs for each thread and is required
	389	!-- later in advec_ws
	390	IF ( loop_start ) THEN
	391	loop_start = .FALSE.
	392	i_omp_start = i
	393	ENDIF
	394
	395	DO j = nys, nyn
	396	!
	397	!-- If required, calculate cloud microphysics
	398	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	399	( intermediate_timestep_count == 1 .OR. &
	400	call_microphysics_at_all_substeps ) &
	401	) THEN
	402	CALL microphysics_control( i, j )
	403	ENDIF
	404	!
	405	!-- Tendency terms for u-velocity component
	406	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	407
	408	tend(:,j,i) = 0.0_wp
	409	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	410	IF ( ws_scheme_mom ) THEN
	411	CALL advec_u_ws( i, j, i_omp_start, tn )
	412	ELSE
	413	CALL advec_u_pw( i, j )
	414	ENDIF
	415	ELSE
	416	CALL advec_u_up( i, j )
	417	ENDIF
	418	CALL diffusion_u( i, j )
	419	CALL coriolis( i, j, 1 )
	420	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	421	CALL buoyancy( i, j, pt, 1 )
	422	ENDIF
	423
	424	!
	425	!-- Drag by plant canopy
	426	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	427
	428	!
	429	!-- External pressure gradient
	430	IF ( dp_external ) THEN
	431	DO k = dp_level_ind_b+1, nzt
	432	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	433	ENDDO
	434	ENDIF
	435
	436	!
	437	!-- Nudging
	438	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	439
[1914]	440	!
	441	!-- Forces by wind turbines
	442	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	443
[1875]	444	CALL user_actions( i, j, 'u-tendency' )
	445	!
	446	!-- Prognostic equation for u-velocity component
	447	DO k = nzb_u_inner(j,i)+1, nzt
	448	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	449	tsc(3) * tu_m(k,j,i) ) &
	450	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	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_u_inner(j,i)+1, nzt
	458	tu_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_u_inner(j,i)+1, nzt
	463	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	464	ENDDO
	465	ENDIF
	466	ENDIF
	467
	468	ENDIF
	469
	470	!
	471	!-- Tendency terms for v-velocity component
	472	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	473
	474	tend(:,j,i) = 0.0_wp
	475	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	476	IF ( ws_scheme_mom ) THEN
	477	CALL advec_v_ws( i, j, i_omp_start, tn )
	478	ELSE
	479	CALL advec_v_pw( i, j )
	480	ENDIF
	481	ELSE
	482	CALL advec_v_up( i, j )
	483	ENDIF
	484	CALL diffusion_v( i, j )
	485	CALL coriolis( i, j, 2 )
	486
	487	!
	488	!-- Drag by plant canopy
	489	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
	490
	491	!
	492	!-- External pressure gradient
	493	IF ( dp_external ) THEN
	494	DO k = dp_level_ind_b+1, nzt
	495	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	496	ENDDO
	497	ENDIF
	498
	499	!
	500	!-- Nudging
	501	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	502
[1914]	503	!
	504	!-- Forces by wind turbines
	505	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	506
[1875]	507	CALL user_actions( i, j, 'v-tendency' )
	508	!
	509	!-- Prognostic equation for v-velocity component
	510	DO k = nzb_v_inner(j,i)+1, nzt
	511	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	512	tsc(3) * tv_m(k,j,i) ) &
	513	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	514	ENDDO
	515
	516	!
	517	!-- Calculate tendencies for the next Runge-Kutta step
	518	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	519	IF ( intermediate_timestep_count == 1 ) THEN
	520	DO k = nzb_v_inner(j,i)+1, nzt
	521	tv_m(k,j,i) = tend(k,j,i)
	522	ENDDO
	523	ELSEIF ( intermediate_timestep_count < &
	524	intermediate_timestep_count_max ) THEN
	525	DO k = nzb_v_inner(j,i)+1, nzt
	526	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	527	ENDDO
	528	ENDIF
	529	ENDIF
	530
	531	ENDIF
	532
	533	!
	534	!-- Tendency terms for w-velocity component
	535	tend(:,j,i) = 0.0_wp
	536	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	537	IF ( ws_scheme_mom ) THEN
	538	CALL advec_w_ws( i, j, i_omp_start, tn )
	539	ELSE
	540	CALL advec_w_pw( i, j )
	541	END IF
	542	ELSE
	543	CALL advec_w_up( i, j )
	544	ENDIF
	545	CALL diffusion_w( i, j )
	546	CALL coriolis( i, j, 3 )
	547
	548	IF ( .NOT. neutral ) THEN
	549	IF ( ocean ) THEN
	550	CALL buoyancy( i, j, rho, 3 )
	551	ELSE
	552	IF ( .NOT. humidity ) THEN
	553	CALL buoyancy( i, j, pt, 3 )
	554	ELSE
	555	CALL buoyancy( i, j, vpt, 3 )
	556	ENDIF
	557	ENDIF
	558	ENDIF
	559
	560	!
	561	!-- Drag by plant canopy
	562	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	563
[1914]	564	!
	565	!-- Forces by wind turbines
	566	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	567
[1875]	568	CALL user_actions( i, j, 'w-tendency' )
	569
	570	!
	571	!-- Prognostic equation for w-velocity component
	572	DO k = nzb_w_inner(j,i)+1, nzt-1
	573	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	574	tsc(3) * tw_m(k,j,i) ) &
	575	- tsc(5) * rdf(k) * w(k,j,i)
	576	ENDDO
	577
	578	!
	579	!-- Calculate tendencies for the next Runge-Kutta step
	580	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	581	IF ( intermediate_timestep_count == 1 ) THEN
	582	DO k = nzb_w_inner(j,i)+1, nzt-1
	583	tw_m(k,j,i) = tend(k,j,i)
	584	ENDDO
	585	ELSEIF ( intermediate_timestep_count < &
	586	intermediate_timestep_count_max ) THEN
	587	DO k = nzb_w_inner(j,i)+1, nzt-1
	588	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	589	ENDDO
	590	ENDIF
	591	ENDIF
	592
	593	!
	594	!-- If required, compute prognostic equation for potential temperature
	595	IF ( .NOT. neutral ) THEN
	596	!
	597	!-- Tendency terms for potential temperature
	598	tend(:,j,i) = 0.0_wp
	599	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	600	IF ( ws_scheme_sca ) THEN
	601	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	602	flux_l_pt, diss_l_pt, i_omp_start, tn )
	603	ELSE
	604	CALL advec_s_pw( i, j, pt )
	605	ENDIF
	606	ELSE
	607	CALL advec_s_up( i, j, pt )
	608	ENDIF
	609	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
	610
	611	!
	612	!-- If required compute heating/cooling due to long wave radiation
	613	!-- processes
	614	IF ( cloud_top_radiation ) THEN
	615	CALL calc_radiation( i, j )
	616	ENDIF
	617
	618	!
	619	!-- Consideration of heat sources within the plant canopy
	620	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	621	CALL pcm_tendency( i, j, 4 )
	622	ENDIF
	623
	624	!
	625	!-- Large scale advection
	626	IF ( large_scale_forcing ) THEN
	627	CALL ls_advec( i, j, simulated_time, 'pt' )
	628	ENDIF
	629
	630	!
	631	!-- Nudging
	632	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	633
	634	!
	635	!-- If required, compute effect of large-scale subsidence/ascent
	636	IF ( large_scale_subsidence .AND. &
	637	.NOT. use_subsidence_tendencies ) THEN
	638	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	639	ENDIF
	640
	641	!
	642	!-- If required, add tendency due to radiative heating/cooling
[1976]	643	IF ( radiation .AND. &
[1875]	644	simulated_time > skip_time_do_radiation ) THEN
	645	CALL radiation_tendency ( i, j, tend )
	646	ENDIF
	647
	648
	649	CALL user_actions( i, j, 'pt-tendency' )
	650
	651	!
	652	!-- Prognostic equation for potential temperature
	653	DO k = nzb_s_inner(j,i)+1, nzt
	654	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	655	tsc(3) * tpt_m(k,j,i) ) &
	656	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	657	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	658	ENDDO
	659
	660	!
	661	!-- Calculate tendencies for the next Runge-Kutta step
	662	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	663	IF ( intermediate_timestep_count == 1 ) THEN
	664	DO k = nzb_s_inner(j,i)+1, nzt
	665	tpt_m(k,j,i) = tend(k,j,i)
	666	ENDDO
	667	ELSEIF ( intermediate_timestep_count < &
	668	intermediate_timestep_count_max ) THEN
	669	DO k = nzb_s_inner(j,i)+1, nzt
	670	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	671	5.3125_wp * tpt_m(k,j,i)
	672	ENDDO
	673	ENDIF
	674	ENDIF
	675
	676	ENDIF
	677
	678	!
	679	!-- If required, compute prognostic equation for salinity
	680	IF ( ocean ) THEN
	681
	682	!
	683	!-- Tendency-terms for salinity
	684	tend(:,j,i) = 0.0_wp
	685	IF ( timestep_scheme(1:5) == 'runge' ) &
	686	THEN
	687	IF ( ws_scheme_sca ) THEN
	688	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	689	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	690	ELSE
	691	CALL advec_s_pw( i, j, sa )
	692	ENDIF
	693	ELSE
	694	CALL advec_s_up( i, j, sa )
	695	ENDIF
	696	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
	697
	698	CALL user_actions( i, j, 'sa-tendency' )
	699
	700	!
	701	!-- Prognostic equation for salinity
	702	DO k = nzb_s_inner(j,i)+1, nzt
	703	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	704	tsc(3) * tsa_m(k,j,i) ) &
	705	- tsc(5) * rdf_sc(k) * &
	706	( sa(k,j,i) - sa_init(k) )
	707	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	708	ENDDO
	709
	710	!
	711	!-- Calculate tendencies for the next Runge-Kutta step
	712	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	713	IF ( intermediate_timestep_count == 1 ) THEN
	714	DO k = nzb_s_inner(j,i)+1, nzt
	715	tsa_m(k,j,i) = tend(k,j,i)
	716	ENDDO
	717	ELSEIF ( intermediate_timestep_count < &
	718	intermediate_timestep_count_max ) THEN
	719	DO k = nzb_s_inner(j,i)+1, nzt
	720	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	721	5.3125_wp * tsa_m(k,j,i)
	722	ENDDO
	723	ENDIF
	724	ENDIF
	725
	726	!
	727	!-- Calculate density by the equation of state for seawater
	728	CALL eqn_state_seawater( i, j )
	729
	730	ENDIF
	731
	732	!
[1960]	733	!-- If required, compute prognostic equation for total water content
	734	IF ( humidity ) THEN
[1875]	735
	736	!
	737	!-- Tendency-terms for total water content / scalar
	738	tend(:,j,i) = 0.0_wp
	739	IF ( timestep_scheme(1:5) == 'runge' ) &
	740	THEN
	741	IF ( ws_scheme_sca ) THEN
	742	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	743	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	744	ELSE
	745	CALL advec_s_pw( i, j, q )
	746	ENDIF
	747	ELSE
	748	CALL advec_s_up( i, j, q )
	749	ENDIF
	750	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
	751
	752	!
[1960]	753	!-- Sink or source of humidity due to canopy elements
[1875]	754	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	755
	756	!
	757	!-- Large scale advection
	758	IF ( large_scale_forcing ) THEN
	759	CALL ls_advec( i, j, simulated_time, 'q' )
	760	ENDIF
	761
	762	!
	763	!-- Nudging
	764	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	765
	766	!
	767	!-- If required compute influence of large-scale subsidence/ascent
	768	IF ( large_scale_subsidence .AND. &
	769	.NOT. use_subsidence_tendencies ) THEN
	770	CALL subsidence( i, j, tend, q, q_init, 3 )
	771	ENDIF
	772
	773	CALL user_actions( i, j, 'q-tendency' )
	774
	775	!
	776	!-- Prognostic equation for total water content / scalar
	777	DO k = nzb_s_inner(j,i)+1, nzt
	778	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	779	tsc(3) * tq_m(k,j,i) ) &
	780	- tsc(5) * rdf_sc(k) * &
	781	( q(k,j,i) - q_init(k) )
	782	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	783	ENDDO
	784
	785	!
	786	!-- Calculate tendencies for the next Runge-Kutta step
	787	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	788	IF ( intermediate_timestep_count == 1 ) THEN
	789	DO k = nzb_s_inner(j,i)+1, nzt
	790	tq_m(k,j,i) = tend(k,j,i)
	791	ENDDO
	792	ELSEIF ( intermediate_timestep_count < &
	793	intermediate_timestep_count_max ) THEN
	794	DO k = nzb_s_inner(j,i)+1, nzt
	795	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	796	5.3125_wp * tq_m(k,j,i)
	797	ENDDO
	798	ENDIF
	799	ENDIF
	800
	801	!
	802	!-- If required, calculate prognostic equations for rain water content
	803	!-- and rain drop concentration
	804	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	805	!
	806	!-- Calculate prognostic equation for rain water content
	807	tend(:,j,i) = 0.0_wp
	808	IF ( timestep_scheme(1:5) == 'runge' ) &
	809	THEN
	810	IF ( ws_scheme_sca ) THEN
	811	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	812	diss_s_qr, flux_l_qr, diss_l_qr, &
	813	i_omp_start, tn )
	814	ELSE
	815	CALL advec_s_pw( i, j, qr )
	816	ENDIF
	817	ELSE
	818	CALL advec_s_up( i, j, qr )
	819	ENDIF
	820	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	821
	822	!
	823	!-- Prognostic equation for rain water content
	824	DO k = nzb_s_inner(j,i)+1, nzt
	825	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	826	tsc(3) * tqr_m(k,j,i) ) &
	827	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	828	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	829	ENDDO
	830	!
	831	!-- Calculate tendencies for the next Runge-Kutta step
	832	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	833	IF ( intermediate_timestep_count == 1 ) THEN
	834	DO k = nzb_s_inner(j,i)+1, nzt
	835	tqr_m(k,j,i) = tend(k,j,i)
	836	ENDDO
	837	ELSEIF ( intermediate_timestep_count < &
	838	intermediate_timestep_count_max ) THEN
	839	DO k = nzb_s_inner(j,i)+1, nzt
	840	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	841	5.3125_wp * tqr_m(k,j,i)
	842	ENDDO
	843	ENDIF
	844	ENDIF
	845
	846	!
	847	!-- Calculate prognostic equation for rain drop concentration.
	848	tend(:,j,i) = 0.0_wp
	849	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	850	IF ( ws_scheme_sca ) THEN
	851	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	852	diss_s_nr, flux_l_nr, diss_l_nr, &
	853	i_omp_start, tn )
	854	ELSE
	855	CALL advec_s_pw( i, j, nr )
	856	ENDIF
	857	ELSE
	858	CALL advec_s_up( i, j, nr )
	859	ENDIF
	860	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	861
	862	!
	863	!-- Prognostic equation for rain drop concentration
	864	DO k = nzb_s_inner(j,i)+1, nzt
	865	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	866	tsc(3) * tnr_m(k,j,i) ) &
	867	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	868	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	869	ENDDO
	870	!
	871	!-- Calculate tendencies for the next Runge-Kutta step
	872	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	873	IF ( intermediate_timestep_count == 1 ) THEN
	874	DO k = nzb_s_inner(j,i)+1, nzt
	875	tnr_m(k,j,i) = tend(k,j,i)
	876	ENDDO
	877	ELSEIF ( intermediate_timestep_count < &
	878	intermediate_timestep_count_max ) THEN
	879	DO k = nzb_s_inner(j,i)+1, nzt
	880	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	881	5.3125_wp * tnr_m(k,j,i)
	882	ENDDO
	883	ENDIF
	884	ENDIF
	885
	886	ENDIF
	887
	888	ENDIF
[1960]	889
	890	!
	891	!-- If required, compute prognostic equation for scalar
	892	IF ( passive_scalar ) THEN
	893	!
	894	!-- Tendency-terms for total water content / scalar
	895	tend(:,j,i) = 0.0_wp
	896	IF ( timestep_scheme(1:5) == 'runge' ) &
	897	THEN
	898	IF ( ws_scheme_sca ) THEN
	899	CALL advec_s_ws( i, j, s, 's', flux_s_s, &
	900	diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn )
	901	ELSE
	902	CALL advec_s_pw( i, j, s )
	903	ENDIF
	904	ELSE
	905	CALL advec_s_up( i, j, s )
	906	ENDIF
	907	CALL diffusion_s( i, j, s, ssws, sswst, wall_sflux )
[1875]	908
	909	!
[1960]	910	!-- Sink or source of scalar concentration due to canopy elements
	911	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
	912
	913	!
	914	!-- Large scale advection, still need to be extended for scalars
	915	! IF ( large_scale_forcing ) THEN
	916	! CALL ls_advec( i, j, simulated_time, 's' )
	917	! ENDIF
	918
	919	!
	920	!-- Nudging, still need to be extended for scalars
	921	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
	922
	923	!
	924	!-- If required compute influence of large-scale subsidence/ascent.
	925	!-- Note, the last argument is of no meaning in this case, as it is
	926	!-- only used in conjunction with large_scale_forcing, which is to
	927	!-- date not implemented for scalars.
	928	IF ( large_scale_subsidence .AND. &
	929	.NOT. use_subsidence_tendencies .AND. &
	930	.NOT. large_scale_forcing ) THEN
	931	CALL subsidence( i, j, tend, s, s_init, 3 )
	932	ENDIF
	933
	934	CALL user_actions( i, j, 's-tendency' )
	935
	936	!
	937	!-- Prognostic equation for scalar
	938	DO k = nzb_s_inner(j,i)+1, nzt
	939	s_p(k,j,i) = s(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	940	tsc(3) * ts_m(k,j,i) ) &
	941	- tsc(5) * rdf_sc(k) * &
	942	( s(k,j,i) - s_init(k) )
	943	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	944	ENDDO
	945
	946	!
	947	!-- Calculate tendencies for the next Runge-Kutta step
	948	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	949	IF ( intermediate_timestep_count == 1 ) THEN
	950	DO k = nzb_s_inner(j,i)+1, nzt
	951	ts_m(k,j,i) = tend(k,j,i)
	952	ENDDO
	953	ELSEIF ( intermediate_timestep_count < &
	954	intermediate_timestep_count_max ) THEN
	955	DO k = nzb_s_inner(j,i)+1, nzt
	956	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	957	5.3125_wp * ts_m(k,j,i)
	958	ENDDO
	959	ENDIF
	960	ENDIF
	961
	962	ENDIF
	963	!
[1875]	964	!-- If required, compute prognostic equation for turbulent kinetic
	965	!-- energy (TKE)
	966	IF ( .NOT. constant_diffusion ) THEN
	967
	968	!
	969	!-- Tendency-terms for TKE
	970	tend(:,j,i) = 0.0_wp
	971	IF ( timestep_scheme(1:5) == 'runge' &
	972	.AND. .NOT. use_upstream_for_tke ) THEN
	973	IF ( ws_scheme_sca ) THEN
	974	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	975	flux_l_e, diss_l_e , i_omp_start, tn )
	976	ELSE
	977	CALL advec_s_pw( i, j, e )
	978	ENDIF
	979	ELSE
	980	CALL advec_s_up( i, j, e )
	981	ENDIF
	982	IF ( .NOT. humidity ) THEN
	983	IF ( ocean ) THEN
	984	CALL diffusion_e( i, j, prho, prho_reference )
	985	ELSE
	986	CALL diffusion_e( i, j, pt, pt_reference )
	987	ENDIF
	988	ELSE
	989	CALL diffusion_e( i, j, vpt, pt_reference )
	990	ENDIF
	991	CALL production_e( i, j )
	992
	993	!
	994	!-- Additional sink term for flows through plant canopies
	995	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
	996
	997	CALL user_actions( i, j, 'e-tendency' )
	998
	999	!
	1000	!-- Prognostic equation for TKE.
	1001	!-- Eliminate negative TKE values, which can occur due to numerical
	1002	!-- reasons in the course of the integration. In such cases the old
	1003	!-- TKE value is reduced by 90%.
	1004	DO k = nzb_s_inner(j,i)+1, nzt
	1005	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1006	tsc(3) * te_m(k,j,i) )
	1007	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1008	ENDDO
	1009
	1010	!
	1011	!-- Calculate tendencies for the next Runge-Kutta step
	1012	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1013	IF ( intermediate_timestep_count == 1 ) THEN
	1014	DO k = nzb_s_inner(j,i)+1, nzt
	1015	te_m(k,j,i) = tend(k,j,i)
	1016	ENDDO
	1017	ELSEIF ( intermediate_timestep_count < &
	1018	intermediate_timestep_count_max ) THEN
	1019	DO k = nzb_s_inner(j,i)+1, nzt
	1020	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1021	5.3125_wp * te_m(k,j,i)
	1022	ENDDO
	1023	ENDIF
	1024	ENDIF
	1025
	1026	ENDIF ! TKE equation
	1027
	1028	ENDDO
	1029	ENDDO
	1030	!$OMP END PARALLEL
	1031
	1032	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	1033
	1034
	1035	END SUBROUTINE prognostic_equations_cache
	1036
	1037
	1038	!------------------------------------------------------------------------------!
	1039	! Description:
	1040	! ------------
	1041	!> Version for vector machines
	1042	!------------------------------------------------------------------------------!
	1043
	1044	SUBROUTINE prognostic_equations_vector
	1045
	1046
	1047	IMPLICIT NONE
	1048
	1049	INTEGER(iwp) :: i !<
	1050	INTEGER(iwp) :: j !<
	1051	INTEGER(iwp) :: k !<
	1052
	1053	REAL(wp) :: sbt !<
	1054
	1055
	1056	!
	1057	!-- If required, calculate cloud microphysical impacts
	1058	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1059	( intermediate_timestep_count == 1 .OR. &
	1060	call_microphysics_at_all_substeps ) &
	1061	) THEN
	1062	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1063	CALL microphysics_control
	1064	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1065	ENDIF
	1066
	1067	!
	1068	!-- u-velocity component
	1069	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1070
	1071	tend = 0.0_wp
	1072	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1073	IF ( ws_scheme_mom ) THEN
	1074	CALL advec_u_ws
	1075	ELSE
	1076	CALL advec_u_pw
	1077	ENDIF
	1078	ELSE
	1079	CALL advec_u_up
	1080	ENDIF
	1081	CALL diffusion_u
	1082	CALL coriolis( 1 )
	1083	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1084	CALL buoyancy( pt, 1 )
	1085	ENDIF
	1086
	1087	!
	1088	!-- Drag by plant canopy
	1089	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1090
	1091	!
	1092	!-- External pressure gradient
	1093	IF ( dp_external ) THEN
	1094	DO i = nxlu, nxr
	1095	DO j = nys, nyn
	1096	DO k = dp_level_ind_b+1, nzt
	1097	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1098	ENDDO
	1099	ENDDO
	1100	ENDDO
	1101	ENDIF
	1102
	1103	!
	1104	!-- Nudging
	1105	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1106
[1914]	1107	!
	1108	!-- Forces by wind turbines
	1109	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1110
[1875]	1111	CALL user_actions( 'u-tendency' )
	1112
	1113	!
	1114	!-- Prognostic equation for u-velocity component
	1115	DO i = nxlu, nxr
	1116	DO j = nys, nyn
	1117	DO k = nzb_u_inner(j,i)+1, nzt
	1118	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1119	tsc(3) * tu_m(k,j,i) ) &
	1120	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1121	ENDDO
	1122	ENDDO
	1123	ENDDO
	1124
	1125	!
	1126	!-- Calculate tendencies for the next Runge-Kutta step
	1127	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1128	IF ( intermediate_timestep_count == 1 ) THEN
	1129	DO i = nxlu, nxr
	1130	DO j = nys, nyn
	1131	DO k = nzb_u_inner(j,i)+1, nzt
	1132	tu_m(k,j,i) = tend(k,j,i)
	1133	ENDDO
	1134	ENDDO
	1135	ENDDO
	1136	ELSEIF ( intermediate_timestep_count < &
	1137	intermediate_timestep_count_max ) THEN
	1138	DO i = nxlu, nxr
	1139	DO j = nys, nyn
	1140	DO k = nzb_u_inner(j,i)+1, nzt
	1141	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1142	ENDDO
	1143	ENDDO
	1144	ENDDO
	1145	ENDIF
	1146	ENDIF
	1147
	1148	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1149
	1150	!
	1151	!-- v-velocity component
	1152	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1153
	1154	tend = 0.0_wp
	1155	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1156	IF ( ws_scheme_mom ) THEN
	1157	CALL advec_v_ws
	1158	ELSE
	1159	CALL advec_v_pw
	1160	END IF
	1161	ELSE
	1162	CALL advec_v_up
	1163	ENDIF
	1164	CALL diffusion_v
	1165	CALL coriolis( 2 )
	1166
	1167	!
	1168	!-- Drag by plant canopy
	1169	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1170
	1171	!
	1172	!-- External pressure gradient
	1173	IF ( dp_external ) THEN
	1174	DO i = nxl, nxr
	1175	DO j = nysv, nyn
	1176	DO k = dp_level_ind_b+1, nzt
	1177	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1178	ENDDO
	1179	ENDDO
	1180	ENDDO
	1181	ENDIF
	1182
	1183	!
	1184	!-- Nudging
	1185	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1186
[1914]	1187	!
	1188	!-- Forces by wind turbines
	1189	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1190
[1875]	1191	CALL user_actions( 'v-tendency' )
	1192
	1193	!
	1194	!-- Prognostic equation for v-velocity component
	1195	DO i = nxl, nxr
	1196	DO j = nysv, nyn
	1197	DO k = nzb_v_inner(j,i)+1, nzt
	1198	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1199	tsc(3) * tv_m(k,j,i) ) &
	1200	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1201	ENDDO
	1202	ENDDO
	1203	ENDDO
	1204
	1205	!
	1206	!-- Calculate tendencies for the next Runge-Kutta step
	1207	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1208	IF ( intermediate_timestep_count == 1 ) THEN
	1209	DO i = nxl, nxr
	1210	DO j = nysv, nyn
	1211	DO k = nzb_v_inner(j,i)+1, nzt
	1212	tv_m(k,j,i) = tend(k,j,i)
	1213	ENDDO
	1214	ENDDO
	1215	ENDDO
	1216	ELSEIF ( intermediate_timestep_count < &
	1217	intermediate_timestep_count_max ) THEN
	1218	DO i = nxl, nxr
	1219	DO j = nysv, nyn
	1220	DO k = nzb_v_inner(j,i)+1, nzt
	1221	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1222	ENDDO
	1223	ENDDO
	1224	ENDDO
	1225	ENDIF
	1226	ENDIF
	1227
	1228	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1229
	1230	!
	1231	!-- w-velocity component
	1232	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1233
	1234	tend = 0.0_wp
	1235	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1236	IF ( ws_scheme_mom ) THEN
	1237	CALL advec_w_ws
	1238	ELSE
	1239	CALL advec_w_pw
	1240	ENDIF
	1241	ELSE
	1242	CALL advec_w_up
	1243	ENDIF
	1244	CALL diffusion_w
	1245	CALL coriolis( 3 )
	1246
	1247	IF ( .NOT. neutral ) THEN
	1248	IF ( ocean ) THEN
	1249	CALL buoyancy( rho, 3 )
	1250	ELSE
	1251	IF ( .NOT. humidity ) THEN
	1252	CALL buoyancy( pt, 3 )
	1253	ELSE
	1254	CALL buoyancy( vpt, 3 )
	1255	ENDIF
	1256	ENDIF
	1257	ENDIF
	1258
	1259	!
	1260	!-- Drag by plant canopy
	1261	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1262
[1914]	1263	!
	1264	!-- Forces by wind turbines
	1265	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1266
[1875]	1267	CALL user_actions( 'w-tendency' )
	1268
	1269	!
	1270	!-- Prognostic equation for w-velocity component
	1271	DO i = nxl, nxr
	1272	DO j = nys, nyn
	1273	DO k = nzb_w_inner(j,i)+1, nzt-1
	1274	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1275	tsc(3) * tw_m(k,j,i) ) &
	1276	- tsc(5) * rdf(k) * w(k,j,i)
	1277	ENDDO
	1278	ENDDO
	1279	ENDDO
	1280
	1281	!
	1282	!-- Calculate tendencies for the next Runge-Kutta step
	1283	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1284	IF ( intermediate_timestep_count == 1 ) THEN
	1285	DO i = nxl, nxr
	1286	DO j = nys, nyn
	1287	DO k = nzb_w_inner(j,i)+1, nzt-1
	1288	tw_m(k,j,i) = tend(k,j,i)
	1289	ENDDO
	1290	ENDDO
	1291	ENDDO
	1292	ELSEIF ( intermediate_timestep_count < &
	1293	intermediate_timestep_count_max ) THEN
	1294	DO i = nxl, nxr
	1295	DO j = nys, nyn
	1296	DO k = nzb_w_inner(j,i)+1, nzt-1
	1297	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	1298	ENDDO
	1299	ENDDO
	1300	ENDDO
	1301	ENDIF
	1302	ENDIF
	1303
	1304	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1305
	1306
	1307	!
	1308	!-- If required, compute prognostic equation for potential temperature
	1309	IF ( .NOT. neutral ) THEN
	1310
	1311	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1312
	1313	!
	1314	!-- pt-tendency terms with communication
	1315	sbt = tsc(2)
	1316	IF ( scalar_advec == 'bc-scheme' ) THEN
	1317
	1318	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1319	!
	1320	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1321	sbt = 1.0_wp
	1322	ENDIF
	1323	tend = 0.0_wp
	1324	CALL advec_s_bc( pt, 'pt' )
	1325
	1326	ENDIF
	1327
	1328	!
	1329	!-- pt-tendency terms with no communication
	1330	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1331	tend = 0.0_wp
	1332	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1333	IF ( ws_scheme_sca ) THEN
	1334	CALL advec_s_ws( pt, 'pt' )
	1335	ELSE
	1336	CALL advec_s_pw( pt )
	1337	ENDIF
	1338	ELSE
	1339	CALL advec_s_up( pt )
	1340	ENDIF
	1341	ENDIF
	1342
	1343	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1344
	1345	!
	1346	!-- If required compute heating/cooling due to long wave radiation processes
	1347	IF ( cloud_top_radiation ) THEN
	1348	CALL calc_radiation
	1349	ENDIF
	1350
	1351	!
	1352	!-- Consideration of heat sources within the plant canopy
	1353	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1354	CALL pcm_tendency( 4 )
	1355	ENDIF
	1356
	1357	!
	1358	!-- Large scale advection
	1359	IF ( large_scale_forcing ) THEN
	1360	CALL ls_advec( simulated_time, 'pt' )
	1361	ENDIF
	1362
	1363	!
	1364	!-- Nudging
	1365	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1366
	1367	!
	1368	!-- If required compute influence of large-scale subsidence/ascent
	1369	IF ( large_scale_subsidence .AND. &
	1370	.NOT. use_subsidence_tendencies ) THEN
	1371	CALL subsidence( tend, pt, pt_init, 2 )
	1372	ENDIF
	1373
	1374	!
	1375	!-- If required, add tendency due to radiative heating/cooling
[1976]	1376	IF ( radiation .AND. &
[1875]	1377	simulated_time > skip_time_do_radiation ) THEN
	1378	CALL radiation_tendency ( tend )
	1379	ENDIF
	1380
	1381	CALL user_actions( 'pt-tendency' )
	1382
	1383	!
	1384	!-- Prognostic equation for potential temperature
	1385	DO i = nxl, nxr
	1386	DO j = nys, nyn
	1387	DO k = nzb_s_inner(j,i)+1, nzt
	1388	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1389	tsc(3) * tpt_m(k,j,i) ) &
	1390	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1391	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	1392	ENDDO
	1393	ENDDO
	1394	ENDDO
	1395
	1396	!
	1397	!-- Calculate tendencies for the next Runge-Kutta step
	1398	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1399	IF ( intermediate_timestep_count == 1 ) THEN
	1400	DO i = nxl, nxr
	1401	DO j = nys, nyn
	1402	DO k = nzb_s_inner(j,i)+1, nzt
	1403	tpt_m(k,j,i) = tend(k,j,i)
	1404	ENDDO
	1405	ENDDO
	1406	ENDDO
	1407	ELSEIF ( intermediate_timestep_count < &
	1408	intermediate_timestep_count_max ) THEN
	1409	DO i = nxl, nxr
	1410	DO j = nys, nyn
	1411	DO k = nzb_s_inner(j,i)+1, nzt
	1412	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1413	5.3125_wp * tpt_m(k,j,i)
	1414	ENDDO
	1415	ENDDO
	1416	ENDDO
	1417	ENDIF
	1418	ENDIF
	1419
	1420	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1421
	1422	ENDIF
	1423
	1424	!
	1425	!-- If required, compute prognostic equation for salinity
	1426	IF ( ocean ) THEN
	1427
	1428	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1429
	1430	!
	1431	!-- sa-tendency terms with communication
	1432	sbt = tsc(2)
	1433	IF ( scalar_advec == 'bc-scheme' ) THEN
	1434
	1435	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1436	!
	1437	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1438	sbt = 1.0_wp
	1439	ENDIF
	1440	tend = 0.0_wp
	1441	CALL advec_s_bc( sa, 'sa' )
	1442
	1443	ENDIF
	1444
	1445	!
	1446	!-- sa-tendency terms with no communication
	1447	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1448	tend = 0.0_wp
	1449	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1450	IF ( ws_scheme_sca ) THEN
	1451	CALL advec_s_ws( sa, 'sa' )
	1452	ELSE
	1453	CALL advec_s_pw( sa )
	1454	ENDIF
	1455	ELSE
	1456	CALL advec_s_up( sa )
	1457	ENDIF
	1458	ENDIF
	1459
	1460	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	1461
	1462	CALL user_actions( 'sa-tendency' )
	1463
	1464	!
	1465	!-- Prognostic equation for salinity
	1466	DO i = nxl, nxr
	1467	DO j = nys, nyn
	1468	DO k = nzb_s_inner(j,i)+1, nzt
	1469	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1470	tsc(3) * tsa_m(k,j,i) ) &
	1471	- tsc(5) * rdf_sc(k) * &
	1472	( sa(k,j,i) - sa_init(k) )
	1473	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1474	ENDDO
	1475	ENDDO
	1476	ENDDO
	1477
	1478	!
	1479	!-- Calculate tendencies for the next Runge-Kutta step
	1480	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1481	IF ( intermediate_timestep_count == 1 ) THEN
	1482	DO i = nxl, nxr
	1483	DO j = nys, nyn
	1484	DO k = nzb_s_inner(j,i)+1, nzt
	1485	tsa_m(k,j,i) = tend(k,j,i)
	1486	ENDDO
	1487	ENDDO
	1488	ENDDO
	1489	ELSEIF ( intermediate_timestep_count < &
	1490	intermediate_timestep_count_max ) THEN
	1491	DO i = nxl, nxr
	1492	DO j = nys, nyn
	1493	DO k = nzb_s_inner(j,i)+1, nzt
	1494	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1495	5.3125_wp * tsa_m(k,j,i)
	1496	ENDDO
	1497	ENDDO
	1498	ENDDO
	1499	ENDIF
	1500	ENDIF
	1501
	1502	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1503
	1504	!
	1505	!-- Calculate density by the equation of state for seawater
	1506	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1507	CALL eqn_state_seawater
	1508	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1509
	1510	ENDIF
	1511
	1512	!
[1960]	1513	!-- If required, compute prognostic equation for total water content
	1514	IF ( humidity ) THEN
[1875]	1515
[1960]	1516	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	1517
	1518	!
	1519	!-- Scalar/q-tendency terms with communication
	1520	sbt = tsc(2)
	1521	IF ( scalar_advec == 'bc-scheme' ) THEN
	1522
	1523	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1524	!
	1525	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1526	sbt = 1.0_wp
	1527	ENDIF
	1528	tend = 0.0_wp
	1529	CALL advec_s_bc( q, 'q' )
	1530
	1531	ENDIF
	1532
	1533	!
	1534	!-- Scalar/q-tendency terms with no communication
	1535	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1536	tend = 0.0_wp
	1537	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1538	IF ( ws_scheme_sca ) THEN
	1539	CALL advec_s_ws( q, 'q' )
	1540	ELSE
	1541	CALL advec_s_pw( q )
	1542	ENDIF
	1543	ELSE
	1544	CALL advec_s_up( q )
	1545	ENDIF
	1546	ENDIF
	1547
	1548	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	1549
	1550	!
[1960]	1551	!-- Sink or source of humidity due to canopy elements
[1875]	1552	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1553
	1554	!
	1555	!-- Large scale advection
	1556	IF ( large_scale_forcing ) THEN
	1557	CALL ls_advec( simulated_time, 'q' )
	1558	ENDIF
	1559
	1560	!
	1561	!-- Nudging
	1562	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1563
	1564	!
	1565	!-- If required compute influence of large-scale subsidence/ascent
	1566	IF ( large_scale_subsidence .AND. &
	1567	.NOT. use_subsidence_tendencies ) THEN
	1568	CALL subsidence( tend, q, q_init, 3 )
	1569	ENDIF
	1570
	1571	CALL user_actions( 'q-tendency' )
	1572
	1573	!
[1960]	1574	!-- Prognostic equation for total water content
[1875]	1575	DO i = nxl, nxr
	1576	DO j = nys, nyn
	1577	DO k = nzb_s_inner(j,i)+1, nzt
	1578	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1579	tsc(3) * tq_m(k,j,i) ) &
	1580	- tsc(5) * rdf_sc(k) * &
	1581	( q(k,j,i) - q_init(k) )
	1582	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1583	ENDDO
	1584	ENDDO
	1585	ENDDO
	1586
	1587	!
	1588	!-- Calculate tendencies for the next Runge-Kutta step
	1589	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1590	IF ( intermediate_timestep_count == 1 ) THEN
	1591	DO i = nxl, nxr
	1592	DO j = nys, nyn
	1593	DO k = nzb_s_inner(j,i)+1, nzt
	1594	tq_m(k,j,i) = tend(k,j,i)
	1595	ENDDO
	1596	ENDDO
	1597	ENDDO
	1598	ELSEIF ( intermediate_timestep_count < &
	1599	intermediate_timestep_count_max ) THEN
	1600	DO i = nxl, nxr
	1601	DO j = nys, nyn
	1602	DO k = nzb_s_inner(j,i)+1, nzt
	1603	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	1604	ENDDO
	1605	ENDDO
	1606	ENDDO
	1607	ENDIF
	1608	ENDIF
	1609
[1960]	1610	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	1611
	1612	!
	1613	!-- If required, calculate prognostic equations for rain water content
	1614	!-- and rain drop concentration
	1615	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1616
	1617	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1618
	1619	!
	1620	!-- Calculate prognostic equation for rain water content
	1621	sbt = tsc(2)
	1622	IF ( scalar_advec == 'bc-scheme' ) THEN
	1623
	1624	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1625	!
	1626	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1627	sbt = 1.0_wp
	1628	ENDIF
	1629	tend = 0.0_wp
	1630	CALL advec_s_bc( qr, 'qr' )
	1631
	1632	ENDIF
	1633
	1634	!
	1635	!-- qr-tendency terms with no communication
	1636	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1637	tend = 0.0_wp
	1638	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1639	IF ( ws_scheme_sca ) THEN
	1640	CALL advec_s_ws( qr, 'qr' )
	1641	ELSE
	1642	CALL advec_s_pw( qr )
	1643	ENDIF
	1644	ELSE
	1645	CALL advec_s_up( qr )
	1646	ENDIF
	1647	ENDIF
	1648
	1649	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1650
	1651	CALL user_actions( 'qr-tendency' )
	1652
	1653	!
	1654	!-- Prognostic equation for rain water content
	1655	DO i = nxl, nxr
	1656	DO j = nys, nyn
	1657	DO k = nzb_s_inner(j,i)+1, nzt
	1658	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1659	tsc(3) * tqr_m(k,j,i) ) &
	1660	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1661	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1662	ENDDO
	1663	ENDDO
	1664	ENDDO
	1665
	1666	!
	1667	!-- Calculate tendencies for the next Runge-Kutta step
	1668	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1669	IF ( intermediate_timestep_count == 1 ) THEN
	1670	DO i = nxl, nxr
	1671	DO j = nys, nyn
	1672	DO k = nzb_s_inner(j,i)+1, nzt
	1673	tqr_m(k,j,i) = tend(k,j,i)
	1674	ENDDO
	1675	ENDDO
	1676	ENDDO
	1677	ELSEIF ( intermediate_timestep_count < &
	1678	intermediate_timestep_count_max ) THEN
	1679	DO i = nxl, nxr
	1680	DO j = nys, nyn
	1681	DO k = nzb_s_inner(j,i)+1, nzt
	1682	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1683	tqr_m(k,j,i)
	1684	ENDDO
	1685	ENDDO
	1686	ENDDO
	1687	ENDIF
	1688	ENDIF
	1689
	1690	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1691	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1692
	1693	!
	1694	!-- Calculate prognostic equation for rain drop concentration
	1695	sbt = tsc(2)
	1696	IF ( scalar_advec == 'bc-scheme' ) THEN
	1697
	1698	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1699	!
	1700	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1701	sbt = 1.0_wp
	1702	ENDIF
	1703	tend = 0.0_wp
	1704	CALL advec_s_bc( nr, 'nr' )
	1705
	1706	ENDIF
	1707
	1708	!
	1709	!-- nr-tendency terms with no communication
	1710	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1711	tend = 0.0_wp
	1712	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1713	IF ( ws_scheme_sca ) THEN
	1714	CALL advec_s_ws( nr, 'nr' )
	1715	ELSE
	1716	CALL advec_s_pw( nr )
	1717	ENDIF
	1718	ELSE
	1719	CALL advec_s_up( nr )
	1720	ENDIF
	1721	ENDIF
	1722
	1723	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1724
	1725	!
	1726	!-- Prognostic equation for rain drop concentration
	1727	DO i = nxl, nxr
	1728	DO j = nys, nyn
	1729	DO k = nzb_s_inner(j,i)+1, nzt
	1730	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1731	tsc(3) * tnr_m(k,j,i) ) &
	1732	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1733	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1734	ENDDO
	1735	ENDDO
	1736	ENDDO
	1737
	1738	!
	1739	!-- Calculate tendencies for the next Runge-Kutta step
	1740	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1741	IF ( intermediate_timestep_count == 1 ) THEN
	1742	DO i = nxl, nxr
	1743	DO j = nys, nyn
	1744	DO k = nzb_s_inner(j,i)+1, nzt
	1745	tnr_m(k,j,i) = tend(k,j,i)
	1746	ENDDO
	1747	ENDDO
	1748	ENDDO
	1749	ELSEIF ( intermediate_timestep_count < &
	1750	intermediate_timestep_count_max ) THEN
	1751	DO i = nxl, nxr
	1752	DO j = nys, nyn
	1753	DO k = nzb_s_inner(j,i)+1, nzt
	1754	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1755	tnr_m(k,j,i)
	1756	ENDDO
	1757	ENDDO
	1758	ENDDO
	1759	ENDIF
	1760	ENDIF
	1761
	1762	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1763
	1764	ENDIF
	1765
	1766	ENDIF
[1960]	1767	!
	1768	!-- If required, compute prognostic equation for scalar
	1769	IF ( passive_scalar ) THEN
[1875]	1770
[1960]	1771	CALL cpu_log( log_point(66), 's-equation', 'start' )
	1772
[1875]	1773	!
[1960]	1774	!-- Scalar/q-tendency terms with communication
	1775	sbt = tsc(2)
	1776	IF ( scalar_advec == 'bc-scheme' ) THEN
	1777
	1778	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1779	!
	1780	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1781	sbt = 1.0_wp
	1782	ENDIF
	1783	tend = 0.0_wp
	1784	CALL advec_s_bc( s, 's' )
	1785
	1786	ENDIF
	1787
	1788	!
	1789	!-- Scalar/q-tendency terms with no communication
	1790	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1791	tend = 0.0_wp
	1792	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1793	IF ( ws_scheme_sca ) THEN
	1794	CALL advec_s_ws( s, 's' )
	1795	ELSE
	1796	CALL advec_s_pw( s )
	1797	ENDIF
	1798	ELSE
	1799	CALL advec_s_up( s )
	1800	ENDIF
	1801	ENDIF
	1802
	1803	CALL diffusion_s( s, ssws, sswst, wall_sflux )
	1804
	1805	!
	1806	!-- Sink or source of humidity due to canopy elements
	1807	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	1808
	1809	!
	1810	!-- Large scale advection. Not implemented for scalars so far.
	1811	! IF ( large_scale_forcing ) THEN
	1812	! CALL ls_advec( simulated_time, 'q' )
	1813	! ENDIF
	1814
	1815	!
	1816	!-- Nudging. Not implemented for scalars so far.
	1817	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1818
	1819	!
	1820	!-- If required compute influence of large-scale subsidence/ascent.
	1821	!-- Not implemented for scalars so far.
	1822	IF ( large_scale_subsidence .AND. &
	1823	.NOT. use_subsidence_tendencies .AND. &
	1824	.NOT. large_scale_forcing ) THEN
	1825	CALL subsidence( tend, s, s_init, 3 )
	1826	ENDIF
	1827
	1828	CALL user_actions( 's-tendency' )
	1829
	1830	!
	1831	!-- Prognostic equation for total water content
	1832	DO i = nxl, nxr
	1833	DO j = nys, nyn
	1834	DO k = nzb_s_inner(j,i)+1, nzt
	1835	s_p(k,j,i) = s(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1836	tsc(3) * ts_m(k,j,i) ) &
	1837	- tsc(5) * rdf_sc(k) * &
	1838	( s(k,j,i) - s_init(k) )
	1839	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	1840	ENDDO
	1841	ENDDO
	1842	ENDDO
	1843
	1844	!
	1845	!-- Calculate tendencies for the next Runge-Kutta step
	1846	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1847	IF ( intermediate_timestep_count == 1 ) THEN
	1848	DO i = nxl, nxr
	1849	DO j = nys, nyn
	1850	DO k = nzb_s_inner(j,i)+1, nzt
	1851	ts_m(k,j,i) = tend(k,j,i)
	1852	ENDDO
	1853	ENDDO
	1854	ENDDO
	1855	ELSEIF ( intermediate_timestep_count < &
	1856	intermediate_timestep_count_max ) THEN
	1857	DO i = nxl, nxr
	1858	DO j = nys, nyn
	1859	DO k = nzb_s_inner(j,i)+1, nzt
	1860	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * ts_m(k,j,i)
	1861	ENDDO
	1862	ENDDO
	1863	ENDDO
	1864	ENDIF
	1865	ENDIF
	1866
	1867	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	1868
	1869	ENDIF
	1870	!
[1875]	1871	!-- If required, compute prognostic equation for turbulent kinetic
	1872	!-- energy (TKE)
	1873	IF ( .NOT. constant_diffusion ) THEN
	1874
	1875	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1876
	1877	sbt = tsc(2)
	1878	IF ( .NOT. use_upstream_for_tke ) THEN
	1879	IF ( scalar_advec == 'bc-scheme' ) THEN
	1880
	1881	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1882	!
	1883	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1884	sbt = 1.0_wp
	1885	ENDIF
	1886	tend = 0.0_wp
	1887	CALL advec_s_bc( e, 'e' )
	1888
	1889	ENDIF
	1890	ENDIF
	1891
	1892	!
	1893	!-- TKE-tendency terms with no communication
	1894	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	1895	IF ( use_upstream_for_tke ) THEN
	1896	tend = 0.0_wp
	1897	CALL advec_s_up( e )
	1898	ELSE
	1899	tend = 0.0_wp
	1900	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1901	IF ( ws_scheme_sca ) THEN
	1902	CALL advec_s_ws( e, 'e' )
	1903	ELSE
	1904	CALL advec_s_pw( e )
	1905	ENDIF
	1906	ELSE
	1907	CALL advec_s_up( e )
	1908	ENDIF
	1909	ENDIF
	1910	ENDIF
	1911
	1912	IF ( .NOT. humidity ) THEN
	1913	IF ( ocean ) THEN
	1914	CALL diffusion_e( prho, prho_reference )
	1915	ELSE
	1916	CALL diffusion_e( pt, pt_reference )
	1917	ENDIF
	1918	ELSE
	1919	CALL diffusion_e( vpt, pt_reference )
	1920	ENDIF
	1921
	1922	CALL production_e
	1923
	1924	!
	1925	!-- Additional sink term for flows through plant canopies
	1926	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	1927	CALL user_actions( 'e-tendency' )
	1928
	1929	!
	1930	!-- Prognostic equation for TKE.
	1931	!-- Eliminate negative TKE values, which can occur due to numerical
	1932	!-- reasons in the course of the integration. In such cases the old TKE
	1933	!-- value is reduced by 90%.
	1934	DO i = nxl, nxr
	1935	DO j = nys, nyn
	1936	DO k = nzb_s_inner(j,i)+1, nzt
	1937	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1938	tsc(3) * te_m(k,j,i) )
	1939	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1940	ENDDO
	1941	ENDDO
	1942	ENDDO
	1943
	1944	!
	1945	!-- Calculate tendencies for the next Runge-Kutta step
	1946	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1947	IF ( intermediate_timestep_count == 1 ) THEN
	1948	DO i = nxl, nxr
	1949	DO j = nys, nyn
	1950	DO k = nzb_s_inner(j,i)+1, nzt
	1951	te_m(k,j,i) = tend(k,j,i)
	1952	ENDDO
	1953	ENDDO
	1954	ENDDO
	1955	ELSEIF ( intermediate_timestep_count < &
	1956	intermediate_timestep_count_max ) THEN
	1957	DO i = nxl, nxr
	1958	DO j = nys, nyn
	1959	DO k = nzb_s_inner(j,i)+1, nzt
	1960	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	1961	ENDDO
	1962	ENDDO
	1963	ENDDO
	1964	ENDIF
	1965	ENDIF
	1966
	1967	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1968
	1969	ENDIF
	1970
	1971	END SUBROUTINE prognostic_equations_vector
	1972
	1973
	1974	!------------------------------------------------------------------------------!
	1975	! Description:
	1976	! ------------
	1977	!> Version for accelerator boards
	1978	!------------------------------------------------------------------------------!
	1979
	1980	SUBROUTINE prognostic_equations_acc
	1981
	1982
	1983	IMPLICIT NONE
	1984
	1985	INTEGER(iwp) :: i !<
	1986	INTEGER(iwp) :: j !<
	1987	INTEGER(iwp) :: k !<
	1988	INTEGER(iwp) :: runge_step !<
	1989
	1990	REAL(wp) :: sbt !<
	1991
	1992	!
	1993	!-- Set switch for intermediate Runge-Kutta step
	1994	runge_step = 0
	1995	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1996	IF ( intermediate_timestep_count == 1 ) THEN
	1997	runge_step = 1
	1998	ELSEIF ( intermediate_timestep_count < &
	1999	intermediate_timestep_count_max ) THEN
	2000	runge_step = 2
	2001	ENDIF
	2002	ENDIF
	2003
	2004	!
	2005	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	2006	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	2007	( intermediate_timestep_count == 1 .OR. &
	2008	call_microphysics_at_all_substeps ) &
	2009	) THEN
	2010	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	2011	CALL microphysics_control
	2012	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	2013	ENDIF
	2014
	2015	!
	2016	!-- u-velocity component
	2017	!++ Statistics still not completely ported to accelerators
	2018	!$acc update device( hom, ref_state )
	2019	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	2020
	2021	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2022	IF ( ws_scheme_mom ) THEN
	2023	CALL advec_u_ws_acc
	2024	ELSE
	2025	tend = 0.0_wp ! to be removed later??
	2026	CALL advec_u_pw
	2027	ENDIF
	2028	ELSE
	2029	CALL advec_u_up
	2030	ENDIF
	2031	CALL diffusion_u_acc
	2032	CALL coriolis_acc( 1 )
	2033	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	2034	CALL buoyancy( pt, 1 )
	2035	ENDIF
	2036
	2037	!
	2038	!-- Drag by plant canopy
	2039	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	2040
	2041	!
	2042	!-- External pressure gradient
	2043	IF ( dp_external ) THEN
	2044	DO i = i_left, i_right
	2045	DO j = j_south, j_north
	2046	DO k = dp_level_ind_b+1, nzt
	2047	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	2048	ENDDO
	2049	ENDDO
	2050	ENDDO
	2051	ENDIF
	2052
	2053	!
	2054	!-- Nudging
	2055	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	2056
[1914]	2057	!
	2058	!-- Forces by wind turbines
	2059	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	2060
[1875]	2061	CALL user_actions( 'u-tendency' )
	2062
	2063	!
	2064	!-- Prognostic equation for u-velocity component
	2065	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, u_init, u_p )
	2066	!$acc loop independent
	2067	DO i = i_left, i_right
	2068	!$acc loop independent
	2069	DO j = j_south, j_north
	2070	!$acc loop independent
	2071	DO k = 1, nzt
	2072	IF ( k > nzb_u_inner(j,i) ) THEN
	2073	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2074	tsc(3) * tu_m(k,j,i) ) &
	2075	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	2076	!
	2077	!-- Tendencies for the next Runge-Kutta step
	2078	IF ( runge_step == 1 ) THEN
	2079	tu_m(k,j,i) = tend(k,j,i)
	2080	ELSEIF ( runge_step == 2 ) THEN
	2081	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	2082	ENDIF
	2083	ENDIF
	2084	ENDDO
	2085	ENDDO
	2086	ENDDO
	2087	!$acc end kernels
	2088
	2089	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	2090
	2091	!
	2092	!-- v-velocity component
	2093	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	2094
	2095	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2096	IF ( ws_scheme_mom ) THEN
	2097	CALL advec_v_ws_acc
	2098	ELSE
	2099	tend = 0.0_wp ! to be removed later??
	2100	CALL advec_v_pw
	2101	END IF
	2102	ELSE
	2103	CALL advec_v_up
	2104	ENDIF
	2105	CALL diffusion_v_acc
	2106	CALL coriolis_acc( 2 )
	2107
	2108	!
	2109	!-- Drag by plant canopy
	2110	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	2111
	2112	!
	2113	!-- External pressure gradient
	2114	IF ( dp_external ) THEN
	2115	DO i = i_left, i_right
	2116	DO j = j_south, j_north
	2117	DO k = dp_level_ind_b+1, nzt
	2118	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	2119	ENDDO
	2120	ENDDO
	2121	ENDDO
	2122	ENDIF
	2123
	2124	!
	2125	!-- Nudging
	2126	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	2127
[1914]	2128	!
	2129	!-- Forces by wind turbines
	2130	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	2131
[1875]	2132	CALL user_actions( 'v-tendency' )
	2133
	2134	!
	2135	!-- Prognostic equation for v-velocity component
	2136	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, v_init, v_p )
	2137	!$acc loop independent
	2138	DO i = i_left, i_right
	2139	!$acc loop independent
	2140	DO j = j_south, j_north
	2141	!$acc loop independent
	2142	DO k = 1, nzt
	2143	IF ( k > nzb_v_inner(j,i) ) THEN
	2144	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2145	tsc(3) * tv_m(k,j,i) ) &
	2146	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	2147	!
	2148	!-- Tendencies for the next Runge-Kutta step
	2149	IF ( runge_step == 1 ) THEN
	2150	tv_m(k,j,i) = tend(k,j,i)
	2151	ELSEIF ( runge_step == 2 ) THEN
	2152	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	2153	ENDIF
	2154	ENDIF
	2155	ENDDO
	2156	ENDDO
	2157	ENDDO
	2158	!$acc end kernels
	2159
	2160	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	2161
	2162	!
	2163	!-- w-velocity component
	2164	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	2165
	2166	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2167	IF ( ws_scheme_mom ) THEN
	2168	CALL advec_w_ws_acc
	2169	ELSE
	2170	tend = 0.0_wp ! to be removed later??
	2171	CALL advec_w_pw
	2172	ENDIF
	2173	ELSE
	2174	CALL advec_w_up
	2175	ENDIF
	2176	CALL diffusion_w_acc
	2177	CALL coriolis_acc( 3 )
	2178
	2179	IF ( .NOT. neutral ) THEN
	2180	IF ( ocean ) THEN
	2181	CALL buoyancy( rho, 3 )
	2182	ELSE
	2183	IF ( .NOT. humidity ) THEN
	2184	CALL buoyancy_acc( pt, 3 )
	2185	ELSE
	2186	CALL buoyancy( vpt, 3 )
	2187	ENDIF
	2188	ENDIF
	2189	ENDIF
	2190
	2191	!
	2192	!-- Drag by plant canopy
	2193	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	2194
[1914]	2195	!
	2196	!-- Forces by wind turbines
	2197	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	2198
[1875]	2199	CALL user_actions( 'w-tendency' )
	2200
	2201	!
	2202	!-- Prognostic equation for w-velocity component
	2203	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
	2204	!$acc loop independent
	2205	DO i = i_left, i_right
	2206	!$acc loop independent
	2207	DO j = j_south, j_north
	2208	!$acc loop independent
	2209	DO k = 1, nzt-1
	2210	IF ( k > nzb_w_inner(j,i) ) THEN
	2211	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2212	tsc(3) * tw_m(k,j,i) ) &
	2213	- tsc(5) * rdf(k) * w(k,j,i)
	2214	!
	2215	!-- Tendencies for the next Runge-Kutta step
	2216	IF ( runge_step == 1 ) THEN
	2217	tw_m(k,j,i) = tend(k,j,i)
	2218	ELSEIF ( runge_step == 2 ) THEN
	2219	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	2220	ENDIF
	2221	ENDIF
	2222	ENDDO
	2223	ENDDO
	2224	ENDDO
	2225	!$acc end kernels
	2226
	2227	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	2228
	2229
	2230	!
	2231	!-- If required, compute prognostic equation for potential temperature
	2232	IF ( .NOT. neutral ) THEN
	2233
	2234	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	2235
	2236	!
	2237	!-- pt-tendency terms with communication
	2238	sbt = tsc(2)
	2239	IF ( scalar_advec == 'bc-scheme' ) THEN
	2240
	2241	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2242	!
	2243	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2244	sbt = 1.0_wp
	2245	ENDIF
	2246	tend = 0.0_wp
	2247	CALL advec_s_bc( pt, 'pt' )
	2248
	2249	ENDIF
	2250
	2251	!
	2252	!-- pt-tendency terms with no communication
	2253	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2254	tend = 0.0_wp
	2255	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2256	IF ( ws_scheme_sca ) THEN
	2257	CALL advec_s_ws_acc( pt, 'pt' )
	2258	ELSE
	2259	tend = 0.0_wp ! to be removed later??
	2260	CALL advec_s_pw( pt )
	2261	ENDIF
	2262	ELSE
	2263	CALL advec_s_up( pt )
	2264	ENDIF
	2265	ENDIF
	2266
	2267	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2268
	2269	!
	2270	!-- If required compute heating/cooling due to long wave radiation processes
	2271	IF ( cloud_top_radiation ) THEN
	2272	CALL calc_radiation
	2273	ENDIF
	2274
	2275	!
	2276	!-- Consideration of heat sources within the plant canopy
	2277	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	2278	CALL pcm_tendency( 4 )
	2279	ENDIF
	2280
	2281	!
	2282	!-- Large scale advection
	2283	IF ( large_scale_forcing ) THEN
	2284	CALL ls_advec( simulated_time, 'pt' )
	2285	ENDIF
	2286
	2287	!
	2288	!-- Nudging
	2289	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2290
	2291	!
	2292	!-- If required compute influence of large-scale subsidence/ascent
	2293	IF ( large_scale_subsidence .AND. &
	2294	.NOT. use_subsidence_tendencies ) THEN
	2295	CALL subsidence( tend, pt, pt_init, 2 )
	2296	ENDIF
	2297
[1976]	2298	IF ( radiation .AND. &
[1875]	2299	simulated_time > skip_time_do_radiation ) THEN
	2300	CALL radiation_tendency ( tend )
	2301	ENDIF
	2302
	2303	CALL user_actions( 'pt-tendency' )
	2304
	2305	!
	2306	!-- Prognostic equation for potential temperature
	2307	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2308	!$acc present( tend, tpt_m, pt, pt_p )
	2309	!$acc loop independent
	2310	DO i = i_left, i_right
	2311	!$acc loop independent
	2312	DO j = j_south, j_north
	2313	!$acc loop independent
	2314	DO k = 1, nzt
	2315	IF ( k > nzb_s_inner(j,i) ) THEN
	2316	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2317	tsc(3) * tpt_m(k,j,i) ) &
	2318	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2319	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2320	!
	2321	!-- Tendencies for the next Runge-Kutta step
	2322	IF ( runge_step == 1 ) THEN
	2323	tpt_m(k,j,i) = tend(k,j,i)
	2324	ELSEIF ( runge_step == 2 ) THEN
	2325	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
	2326	ENDIF
	2327	ENDIF
	2328	ENDDO
	2329	ENDDO
	2330	ENDDO
	2331	!$acc end kernels
	2332
	2333	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2334
	2335	ENDIF
	2336
	2337	!
	2338	!-- If required, compute prognostic equation for salinity
	2339	IF ( ocean ) THEN
	2340
	2341	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2342
	2343	!
	2344	!-- sa-tendency terms with communication
	2345	sbt = tsc(2)
	2346	IF ( scalar_advec == 'bc-scheme' ) THEN
	2347
	2348	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2349	!
	2350	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2351	sbt = 1.0_wp
	2352	ENDIF
	2353	tend = 0.0_wp
	2354	CALL advec_s_bc( sa, 'sa' )
	2355
	2356	ENDIF
	2357
	2358	!
	2359	!-- sa-tendency terms with no communication
	2360	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2361	tend = 0.0_wp
	2362	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2363	IF ( ws_scheme_sca ) THEN
	2364	CALL advec_s_ws( sa, 'sa' )
	2365	ELSE
	2366	CALL advec_s_pw( sa )
	2367	ENDIF
	2368	ELSE
	2369	CALL advec_s_up( sa )
	2370	ENDIF
	2371	ENDIF
	2372
	2373	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2374
	2375	CALL user_actions( 'sa-tendency' )
	2376
	2377	!
	2378	!-- Prognostic equation for salinity
	2379	DO i = i_left, i_right
	2380	DO j = j_south, j_north
	2381	DO k = nzb_s_inner(j,i)+1, nzt
	2382	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2383	tsc(3) * tsa_m(k,j,i) ) &
	2384	- tsc(5) * rdf_sc(k) * &
	2385	( sa(k,j,i) - sa_init(k) )
	2386	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	2387	!
	2388	!-- Tendencies for the next Runge-Kutta step
	2389	IF ( runge_step == 1 ) THEN
	2390	tsa_m(k,j,i) = tend(k,j,i)
	2391	ELSEIF ( runge_step == 2 ) THEN
	2392	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
	2393	ENDIF
	2394	ENDDO
	2395	ENDDO
	2396	ENDDO
	2397
	2398	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2399
	2400	!
	2401	!-- Calculate density by the equation of state for seawater
	2402	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2403	CALL eqn_state_seawater
	2404	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2405
	2406	ENDIF
	2407
	2408	!
[1960]	2409	!-- If required, compute prognostic equation for total water content
	2410	IF ( humidity ) THEN
[1875]	2411
[1960]	2412	CALL cpu_log( log_point(29), 'q-equation', 'start' )
[1875]	2413
	2414	!
	2415	!-- Scalar/q-tendency terms with communication
	2416	sbt = tsc(2)
	2417	IF ( scalar_advec == 'bc-scheme' ) THEN
	2418
	2419	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2420	!
	2421	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2422	sbt = 1.0_wp
	2423	ENDIF
	2424	tend = 0.0_wp
	2425	CALL advec_s_bc( q, 'q' )
	2426
	2427	ENDIF
	2428
	2429	!
	2430	!-- Scalar/q-tendency terms with no communication
	2431	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2432	tend = 0.0_wp
	2433	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2434	IF ( ws_scheme_sca ) THEN
	2435	CALL advec_s_ws( q, 'q' )
	2436	ELSE
	2437	CALL advec_s_pw( q )
	2438	ENDIF
	2439	ELSE
	2440	CALL advec_s_up( q )
	2441	ENDIF
	2442	ENDIF
	2443
	2444	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2445
	2446	!
	2447	!-- Sink or source of scalar concentration due to canopy elements
	2448	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	2449
	2450	!
	2451	!-- Large scale advection
	2452	IF ( large_scale_forcing ) THEN
	2453	CALL ls_advec( simulated_time, 'q' )
	2454	ENDIF
	2455
	2456	!
	2457	!-- Nudging
	2458	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2459
	2460	!
	2461	!-- If required compute influence of large-scale subsidence/ascent
	2462	IF ( large_scale_subsidence .AND. &
	2463	.NOT. use_subsidence_tendencies ) THEN
	2464	CALL subsidence( tend, q, q_init, 3 )
	2465	ENDIF
	2466
	2467	CALL user_actions( 'q-tendency' )
	2468
	2469	!
	2470	!-- Prognostic equation for total water content / scalar
	2471	DO i = i_left, i_right
	2472	DO j = j_south, j_north
	2473	DO k = nzb_s_inner(j,i)+1, nzt
	2474	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2475	tsc(3) * tq_m(k,j,i) ) &
	2476	- tsc(5) * rdf_sc(k) * &
	2477	( q(k,j,i) - q_init(k) )
	2478	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	2479	!
	2480	!-- Tendencies for the next Runge-Kutta step
	2481	IF ( runge_step == 1 ) THEN
	2482	tq_m(k,j,i) = tend(k,j,i)
	2483	ELSEIF ( runge_step == 2 ) THEN
	2484	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	2485	ENDIF
	2486	ENDDO
	2487	ENDDO
	2488	ENDDO
	2489
[1960]	2490	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
[1875]	2491
	2492	!
	2493	!-- If required, calculate prognostic equations for rain water content
	2494	!-- and rain drop concentration
	2495	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2496
	2497	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2498	!
	2499	!-- qr-tendency terms with communication
	2500	sbt = tsc(2)
	2501	IF ( scalar_advec == 'bc-scheme' ) THEN
	2502
	2503	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2504	!
	2505	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2506	sbt = 1.0_wp
	2507	ENDIF
	2508	tend = 0.0_wp
	2509	CALL advec_s_bc( qr, 'qr' )
	2510
	2511	ENDIF
	2512
	2513	!
	2514	!-- qr-tendency terms with no communication
	2515	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2516	tend = 0.0_wp
	2517	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2518	IF ( ws_scheme_sca ) THEN
	2519	CALL advec_s_ws( qr, 'qr' )
	2520	ELSE
	2521	CALL advec_s_pw( qr )
	2522	ENDIF
	2523	ELSE
	2524	CALL advec_s_up( qr )
	2525	ENDIF
	2526	ENDIF
	2527
	2528	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2529
	2530	!
	2531	!-- Prognostic equation for rain water content
	2532	DO i = i_left, i_right
	2533	DO j = j_south, j_north
	2534	DO k = nzb_s_inner(j,i)+1, nzt
	2535	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2536	tsc(3) * tqr_m(k,j,i) ) &
	2537	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2538	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2539	!
	2540	!-- Tendencies for the next Runge-Kutta step
	2541	IF ( runge_step == 1 ) THEN
	2542	tqr_m(k,j,i) = tend(k,j,i)
	2543	ELSEIF ( runge_step == 2 ) THEN
	2544	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2545	tqr_m(k,j,i)
	2546	ENDIF
	2547	ENDDO
	2548	ENDDO
	2549	ENDDO
	2550
	2551	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2552	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2553
	2554	!
	2555	!-- nr-tendency terms with communication
	2556	sbt = tsc(2)
	2557	IF ( scalar_advec == 'bc-scheme' ) THEN
	2558
	2559	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2560	!
	2561	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2562	sbt = 1.0_wp
	2563	ENDIF
	2564	tend = 0.0_wp
	2565	CALL advec_s_bc( nr, 'nr' )
	2566
	2567	ENDIF
	2568
	2569	!
	2570	!-- nr-tendency terms with no communication
	2571	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2572	tend = 0.0_wp
	2573	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2574	IF ( ws_scheme_sca ) THEN
	2575	CALL advec_s_ws( nr, 'nr' )
	2576	ELSE
	2577	CALL advec_s_pw( nr )
	2578	ENDIF
	2579	ELSE
	2580	CALL advec_s_up( nr )
	2581	ENDIF
	2582	ENDIF
	2583
	2584	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2585
	2586	!
	2587	!-- Prognostic equation for rain drop concentration
	2588	DO i = i_left, i_right
	2589	DO j = j_south, j_north
	2590	DO k = nzb_s_inner(j,i)+1, nzt
	2591	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2592	tsc(3) * tnr_m(k,j,i) ) &
	2593	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2594	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2595	!
	2596	!-- Tendencies for the next Runge-Kutta step
	2597	IF ( runge_step == 1 ) THEN
	2598	tnr_m(k,j,i) = tend(k,j,i)
	2599	ELSEIF ( runge_step == 2 ) THEN
	2600	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2601	tnr_m(k,j,i)
	2602	ENDIF
	2603	ENDDO
	2604	ENDDO
	2605	ENDDO
	2606
	2607	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2608
	2609	ENDIF
	2610
	2611	ENDIF
	2612
	2613	!
[1960]	2614	!-- If required, compute prognostic equation for scalar
	2615	IF ( passive_scalar ) THEN
	2616
	2617	CALL cpu_log( log_point(66), 's-equation', 'start' )
	2618
	2619	!
	2620	!-- Scalar/q-tendency terms with communication
	2621	sbt = tsc(2)
	2622	IF ( scalar_advec == 'bc-scheme' ) THEN
	2623
	2624	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2625	!
	2626	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2627	sbt = 1.0_wp
	2628	ENDIF
	2629	tend = 0.0_wp
	2630	CALL advec_s_bc( s, 's' )
	2631
	2632	ENDIF
	2633
	2634	!
	2635	!-- Scalar/q-tendency terms with no communication
	2636	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2637	tend = 0.0_wp
	2638	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2639	IF ( ws_scheme_sca ) THEN
	2640	CALL advec_s_ws( s, 's' )
	2641	ELSE
	2642	CALL advec_s_pw( s )
	2643	ENDIF
	2644	ELSE
	2645	CALL advec_s_up( s )
	2646	ENDIF
	2647	ENDIF
	2648
	2649	CALL diffusion_s( s, ssws, sswst, wall_sflux )
	2650
	2651	!
	2652	!-- Sink or source of scalar concentration due to canopy elements
	2653	IF ( plant_canopy ) CALL pcm_tendency( 7 )
	2654
	2655	!
	2656	!-- Large scale advection. Not implemented so far.
	2657	! IF ( large_scale_forcing ) THEN
	2658	! CALL ls_advec( simulated_time, 's' )
	2659	! ENDIF
	2660
	2661	!
	2662	!-- Nudging. Not implemented so far.
	2663	! IF ( nudging ) CALL nudge( simulated_time, 's' )
	2664
	2665	!
	2666	!-- If required compute influence of large-scale subsidence/ascent.
	2667	!-- Not implemented so far.
	2668	IF ( large_scale_subsidence .AND. &
	2669	.NOT. use_subsidence_tendencies .AND. &
	2670	.NOT. large_scale_forcing ) THEN
	2671	CALL subsidence( tend, s, s_init, 3 )
	2672	ENDIF
	2673
	2674	CALL user_actions( 's-tendency' )
	2675
	2676	!
	2677	!-- Prognostic equation for total water content / scalar
	2678	DO i = i_left, i_right
	2679	DO j = j_south, j_north
	2680	DO k = nzb_s_inner(j,i)+1, nzt
	2681	s_p(k,j,i) = s(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2682	tsc(3) * ts_m(k,j,i) ) &
	2683	- tsc(5) * rdf_sc(k) * &
	2684	( s(k,j,i) - s_init(k) )
	2685	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
	2686	!
	2687	!-- Tendencies for the next Runge-Kutta step
	2688	IF ( runge_step == 1 ) THEN
	2689	ts_m(k,j,i) = tend(k,j,i)
	2690	ELSEIF ( runge_step == 2 ) THEN
	2691	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * ts_m(k,j,i)
	2692	ENDIF
	2693	ENDDO
	2694	ENDDO
	2695	ENDDO
	2696
	2697	CALL cpu_log( log_point(66), 's-equation', 'stop' )
	2698
	2699	ENDIF
	2700	!
[1875]	2701	!-- If required, compute prognostic equation for turbulent kinetic
	2702	!-- energy (TKE)
	2703	IF ( .NOT. constant_diffusion ) THEN
	2704
	2705	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2706
	2707	sbt = tsc(2)
	2708	IF ( .NOT. use_upstream_for_tke ) THEN
	2709	IF ( scalar_advec == 'bc-scheme' ) THEN
	2710
	2711	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2712	!
	2713	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2714	sbt = 1.0_wp
	2715	ENDIF
	2716	tend = 0.0_wp
	2717	CALL advec_s_bc( e, 'e' )
	2718
	2719	ENDIF
	2720	ENDIF
	2721
	2722	!
	2723	!-- TKE-tendency terms with no communication
	2724	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2725	IF ( use_upstream_for_tke ) THEN
	2726	tend = 0.0_wp
	2727	CALL advec_s_up( e )
	2728	ELSE
	2729	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2730	IF ( ws_scheme_sca ) THEN
	2731	CALL advec_s_ws_acc( e, 'e' )
	2732	ELSE
	2733	tend = 0.0_wp ! to be removed later??
	2734	CALL advec_s_pw( e )
	2735	ENDIF
	2736	ELSE
	2737	tend = 0.0_wp ! to be removed later??
	2738	CALL advec_s_up( e )
	2739	ENDIF
	2740	ENDIF
	2741	ENDIF
	2742
	2743	IF ( .NOT. humidity ) THEN
	2744	IF ( ocean ) THEN
	2745	CALL diffusion_e( prho, prho_reference )
	2746	ELSE
	2747	CALL diffusion_e_acc( pt, pt_reference )
	2748	ENDIF
	2749	ELSE
	2750	CALL diffusion_e( vpt, pt_reference )
	2751	ENDIF
	2752
	2753	CALL production_e_acc
	2754
	2755	!
	2756	!-- Additional sink term for flows through plant canopies
	2757	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	2758	CALL user_actions( 'e-tendency' )
	2759
	2760	!
	2761	!-- Prognostic equation for TKE.
	2762	!-- Eliminate negative TKE values, which can occur due to numerical
	2763	!-- reasons in the course of the integration. In such cases the old TKE
	2764	!-- value is reduced by 90%.
	2765	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
	2766	!$acc loop independent
	2767	DO i = i_left, i_right
	2768	!$acc loop independent
	2769	DO j = j_south, j_north
	2770	!$acc loop independent
	2771	DO k = 1, nzt
	2772	IF ( k > nzb_s_inner(j,i) ) THEN
	2773	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2774	tsc(3) * te_m(k,j,i) )
	2775	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	2776	!
	2777	!-- Tendencies for the next Runge-Kutta step
	2778	IF ( runge_step == 1 ) THEN
	2779	te_m(k,j,i) = tend(k,j,i)
	2780	ELSEIF ( runge_step == 2 ) THEN
	2781	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	2782	ENDIF
	2783	ENDIF
	2784	ENDDO
	2785	ENDDO
	2786	ENDDO
	2787	!$acc end kernels
	2788
	2789	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2790
	2791	ENDIF
	2792
	2793	END SUBROUTINE prognostic_equations_acc
	2794
	2795
	2796	END MODULE prognostic_equations_mod

Note: See TracBrowser for help on using the repository browser.

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |