Home

Context Navigation

source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1958

Last change on this file since 1958 was 1917, checked in by witha, 9 years ago
Corrected documented changes in the file headers
Property svn:keywords set to `Id`
File size: 82.2 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	!
	22	!
[1875]	23	! Former revisions:
	24	! -----------------
	25	! $Id: prognostic_equations.f90 1917 2016-05-27 14:28:12Z suehring $
	26	!
[1917]	27	! 1914 2016-05-26 14:44:07Z witha
	28	! Added calls for wind turbine model
	29	!
[1874]	30	! 1873 2016-04-18 14:50:06Z maronga
	31	! Module renamed (removed _mod)
	32	!
[1851]	33	! 1850 2016-04-08 13:29:27Z maronga
	34	! Module renamed
	35	!
[1827]	36	! 1826 2016-04-07 12:01:39Z maronga
[1875]	37	! Renamed canopy model calls.
	38	!
	39	! 1822 2016-04-07 07:49:42Z hoffmann
	40	! Kessler microphysics scheme moved to microphysics.
	41	!
	42	! 1757 2016-02-22 15:49:32Z maronga
	43	!
	44	! 1691 2015-10-26 16:17:44Z maronga
	45	! Added optional model spin-up without radiation / land surface model calls.
	46	! Formatting corrections.
	47	!
	48	! 1682 2015-10-07 23:56:08Z knoop
	49	! Code annotations made doxygen readable
	50	!
	51	! 1585 2015-04-30 07:05:52Z maronga
	52	! Added call for temperature tendency calculation due to radiative flux divergence
	53	!
	54	! 1517 2015-01-07 19:12:25Z hoffmann
	55	! advec_s_bc_mod addded, since advec_s_bc is now a module
	56	!
	57	! 1496 2014-12-02 17:25:50Z maronga
	58	! Renamed "radiation" -> "cloud_top_radiation"
	59	!
	60	! 1484 2014-10-21 10:53:05Z kanani
	61	! Changes due to new module structure of the plant canopy model:
	62	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	63	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	64	! control_parameters
	65	!
	66	! 1409 2014-05-23 12:11:32Z suehring
	67	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
	68	! This ensures that left-hand side fluxes are also calculated for nxl in that
	69	! case, even though the solution at nxl is overwritten in boundary_conds()
	70	!
	71	! 1398 2014-05-07 11:15:00Z heinze
	72	! Rayleigh-damping for horizontal velocity components changed: instead of damping
	73	! against ug and vg, damping against u_init and v_init is used to allow for a
	74	! homogenized treatment in case of nudging
	75	!
	76	! 1380 2014-04-28 12:40:45Z heinze
	77	! Change order of calls for scalar prognostic quantities:
	78	! ls_advec -> nudging -> subsidence since initial profiles
	79	!
	80	! 1374 2014-04-25 12:55:07Z raasch
	81	! missing variables added to ONLY lists
	82	!
	83	! 1365 2014-04-22 15:03:56Z boeske
	84	! Calls of ls_advec for large scale advection added,
	85	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	86	! new argument ls_index added to the calls of subsidence
	87	! +ls_index
	88	!
	89	! 1361 2014-04-16 15:17:48Z hoffmann
	90	! Two-moment microphysics moved to the start of prognostic equations. This makes
	91	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	92	! Additionally, it is allowed to call the microphysics just once during the time
	93	! step (not at each sub-time step).
	94	!
	95	! Two-moment cloud physics added for vector and accelerator optimization.
	96	!
	97	! 1353 2014-04-08 15:21:23Z heinze
	98	! REAL constants provided with KIND-attribute
	99	!
	100	! 1337 2014-03-25 15:11:48Z heinze
	101	! Bugfix: REAL constants provided with KIND-attribute
	102	!
	103	! 1332 2014-03-25 11:59:43Z suehring
	104	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	105	!
	106	! 1330 2014-03-24 17:29:32Z suehring
	107	! In case of SGS-particle velocity advection of TKE is also allowed with
	108	! dissipative 5th-order scheme.
	109	!
	110	! 1320 2014-03-20 08:40:49Z raasch
	111	! ONLY-attribute added to USE-statements,
	112	! kind-parameters added to all INTEGER and REAL declaration statements,
	113	! kinds are defined in new module kinds,
	114	! old module precision_kind is removed,
	115	! revision history before 2012 removed,
	116	! comment fields (!:) to be used for variable explanations added to
	117	! all variable declaration statements
	118	!
	119	! 1318 2014-03-17 13:35:16Z raasch
	120	! module interfaces removed
	121	!
	122	! 1257 2013-11-08 15:18:40Z raasch
	123	! openacc loop vector clauses removed, independent clauses added
	124	!
	125	! 1246 2013-11-01 08:59:45Z heinze
	126	! enable nudging also for accelerator version
	127	!
	128	! 1241 2013-10-30 11:36:58Z heinze
	129	! usage of nudging enabled (so far not implemented for accelerator version)
	130	!
	131	! 1179 2013-06-14 05:57:58Z raasch
	132	! two arguments removed from routine buoyancy, ref_state updated on device
	133	!
	134	! 1128 2013-04-12 06:19:32Z raasch
	135	! those parts requiring global communication moved to time_integration,
	136	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	137	! j_north
	138	!
	139	! 1115 2013-03-26 18:16:16Z hoffmann
	140	! optimized cloud physics: calculation of microphysical tendencies transfered
	141	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	142	!
	143	! 1111 2013-03-08 23:54:10Z raasch
	144	! update directives for prognostic quantities removed
	145	!
	146	! 1106 2013-03-04 05:31:38Z raasch
	147	! small changes in code formatting
	148	!
	149	! 1092 2013-02-02 11:24:22Z raasch
	150	! unused variables removed
	151	!
	152	! 1053 2012-11-13 17:11:03Z hoffmann
	153	! implementation of two new prognostic equations for rain drop concentration (nr)
	154	! and rain water content (qr)
	155	!
	156	! currently, only available for cache loop optimization
	157	!
	158	! 1036 2012-10-22 13:43:42Z raasch
	159	! code put under GPL (PALM 3.9)
	160	!
	161	! 1019 2012-09-28 06:46:45Z raasch
	162	! non-optimized version of prognostic_equations removed
	163	!
	164	! 1015 2012-09-27 09:23:24Z raasch
	165	! new branch prognostic_equations_acc
	166	! OpenACC statements added + code changes required for GPU optimization
	167	!
	168	! 1001 2012-09-13 14:08:46Z raasch
	169	! all actions concerning leapfrog- and upstream-spline-scheme removed
	170	!
	171	! 978 2012-08-09 08:28:32Z fricke
	172	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	173	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	174	! boundary in case of non-cyclic lateral boundaries
	175	! Bugfix: first thread index changes for WS-scheme at the inflow
	176	!
	177	! 940 2012-07-09 14:31:00Z raasch
	178	! temperature equation can be switched off
	179	!
	180	! Revision 1.1 2000/04/13 14:56:27 schroeter
	181	! Initial revision
	182	!
	183	!
	184	! Description:
	185	! ------------
	186	!> Solving the prognostic equations.
	187	!------------------------------------------------------------------------------!
	188	MODULE prognostic_equations_mod
	189
	190
	191
	192	USE arrays_3d, &
	193	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	194	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	195	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	196	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	197	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	198	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
	199	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	200	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	201	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
	202	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
	203
	204	USE control_parameters, &
	205	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	206	cloud_top_radiation, constant_diffusion, dp_external, &
	207	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	208	inflow_l, intermediate_timestep_count, &
	209	intermediate_timestep_count_max, large_scale_forcing, &
	210	large_scale_subsidence, microphysics_seifert, &
	211	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	212	outflow_s, passive_scalar, prho_reference, prho_reference, &
	213	prho_reference, pt_reference, pt_reference, pt_reference, &
	214	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
	215	timestep_scheme, tsc, use_subsidence_tendencies, &
	216	use_upstream_for_tke, wall_heatflux, &
	217	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	218	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
	219
	220	USE cpulog, &
	221	ONLY: cpu_log, log_point
	222
	223	USE eqn_state_seawater_mod, &
	224	ONLY: eqn_state_seawater
	225
	226	USE indices, &
	227	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	228	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	229
	230	USE advec_ws, &
	231	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	232	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	233
	234	USE advec_s_bc_mod, &
	235	ONLY: advec_s_bc
	236
	237	USE advec_s_pw_mod, &
	238	ONLY: advec_s_pw
	239
	240	USE advec_s_up_mod, &
	241	ONLY: advec_s_up
	242
	243	USE advec_u_pw_mod, &
	244	ONLY: advec_u_pw
	245
	246	USE advec_u_up_mod, &
	247	ONLY: advec_u_up
	248
	249	USE advec_v_pw_mod, &
	250	ONLY: advec_v_pw
	251
	252	USE advec_v_up_mod, &
	253	ONLY: advec_v_up
	254
	255	USE advec_w_pw_mod, &
	256	ONLY: advec_w_pw
	257
	258	USE advec_w_up_mod, &
	259	ONLY: advec_w_up
	260
	261	USE buoyancy_mod, &
	262	ONLY: buoyancy, buoyancy_acc
	263
	264	USE calc_radiation_mod, &
	265	ONLY: calc_radiation
	266
	267	USE coriolis_mod, &
	268	ONLY: coriolis, coriolis_acc
	269
	270	USE diffusion_e_mod, &
	271	ONLY: diffusion_e, diffusion_e_acc
	272
	273	USE diffusion_s_mod, &
	274	ONLY: diffusion_s, diffusion_s_acc
	275
	276	USE diffusion_u_mod, &
	277	ONLY: diffusion_u, diffusion_u_acc
	278
	279	USE diffusion_v_mod, &
	280	ONLY: diffusion_v, diffusion_v_acc
	281
	282	USE diffusion_w_mod, &
	283	ONLY: diffusion_w, diffusion_w_acc
	284
	285	USE kinds
	286
	287	USE ls_forcing_mod, &
	288	ONLY: ls_advec
	289
	290	USE microphysics_mod, &
	291	ONLY: microphysics_control
	292
	293	USE nudge_mod, &
	294	ONLY: nudge
	295
	296	USE plant_canopy_model_mod, &
	297	ONLY: cthf, plant_canopy, pcm_tendency
	298
	299	USE production_e_mod, &
	300	ONLY: production_e, production_e_acc
	301
	302	USE radiation_model_mod, &
	303	ONLY: radiation, radiation_scheme, radiation_tendency, &
	304	skip_time_do_radiation
	305
	306	USE statistics, &
	307	ONLY: hom
	308
	309	USE subsidence_mod, &
	310	ONLY: subsidence
	311
	312	USE user_actions_mod, &
	313	ONLY: user_actions
	314
[1914]	315	USE wind_turbine_model_mod, &
	316	ONLY: wind_turbine, wtm_tendencies
[1875]	317
[1914]	318
[1875]	319	PRIVATE
	320	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	321	prognostic_equations_acc
	322
	323	INTERFACE prognostic_equations_cache
	324	MODULE PROCEDURE prognostic_equations_cache
	325	END INTERFACE prognostic_equations_cache
	326
	327	INTERFACE prognostic_equations_vector
	328	MODULE PROCEDURE prognostic_equations_vector
	329	END INTERFACE prognostic_equations_vector
	330
	331	INTERFACE prognostic_equations_acc
	332	MODULE PROCEDURE prognostic_equations_acc
	333	END INTERFACE prognostic_equations_acc
	334
	335
	336	CONTAINS
	337
	338
	339	!------------------------------------------------------------------------------!
	340	! Description:
	341	! ------------
	342	!> Version with one optimized loop over all equations. It is only allowed to
	343	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	344	!>
	345	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	346	!> so communication between CPUs is not allowed (does not make sense) within
	347	!> these loops.
	348	!>
	349	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	350	!------------------------------------------------------------------------------!
	351
	352	SUBROUTINE prognostic_equations_cache
	353
	354
	355	IMPLICIT NONE
	356
	357	INTEGER(iwp) :: i !<
	358	INTEGER(iwp) :: i_omp_start !<
	359	INTEGER(iwp) :: j !<
	360	INTEGER(iwp) :: k !<
	361	INTEGER(iwp) :: omp_get_thread_num !<
	362	INTEGER(iwp) :: tn = 0 !<
	363
	364	LOGICAL :: loop_start !<
	365
	366
	367	!
	368	!-- Time measurement can only be performed for the whole set of equations
	369	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	370
	371	!
	372	!-- Loop over all prognostic equations
	373	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	374
	375	!$ tn = omp_get_thread_num()
	376	loop_start = .TRUE.
	377	!$OMP DO
	378	DO i = nxl, nxr
	379
	380	!
	381	!-- Store the first loop index. It differs for each thread and is required
	382	!-- later in advec_ws
	383	IF ( loop_start ) THEN
	384	loop_start = .FALSE.
	385	i_omp_start = i
	386	ENDIF
	387
	388	DO j = nys, nyn
	389	!
	390	!-- If required, calculate cloud microphysics
	391	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	392	( intermediate_timestep_count == 1 .OR. &
	393	call_microphysics_at_all_substeps ) &
	394	) THEN
	395	CALL microphysics_control( i, j )
	396	ENDIF
	397	!
	398	!-- Tendency terms for u-velocity component
	399	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	400
	401	tend(:,j,i) = 0.0_wp
	402	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	403	IF ( ws_scheme_mom ) THEN
	404	CALL advec_u_ws( i, j, i_omp_start, tn )
	405	ELSE
	406	CALL advec_u_pw( i, j )
	407	ENDIF
	408	ELSE
	409	CALL advec_u_up( i, j )
	410	ENDIF
	411	CALL diffusion_u( i, j )
	412	CALL coriolis( i, j, 1 )
	413	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	414	CALL buoyancy( i, j, pt, 1 )
	415	ENDIF
	416
	417	!
	418	!-- Drag by plant canopy
	419	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
	420
	421	!
	422	!-- External pressure gradient
	423	IF ( dp_external ) THEN
	424	DO k = dp_level_ind_b+1, nzt
	425	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	426	ENDDO
	427	ENDIF
	428
	429	!
	430	!-- Nudging
	431	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	432
[1914]	433	!
	434	!-- Forces by wind turbines
	435	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 )
	436
[1875]	437	CALL user_actions( i, j, 'u-tendency' )
	438	!
	439	!-- Prognostic equation for u-velocity component
	440	DO k = nzb_u_inner(j,i)+1, nzt
	441	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	442	tsc(3) * tu_m(k,j,i) ) &
	443	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	444	ENDDO
	445
	446	!
	447	!-- Calculate tendencies for the next Runge-Kutta step
	448	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	449	IF ( intermediate_timestep_count == 1 ) THEN
	450	DO k = nzb_u_inner(j,i)+1, nzt
	451	tu_m(k,j,i) = tend(k,j,i)
	452	ENDDO
	453	ELSEIF ( intermediate_timestep_count < &
	454	intermediate_timestep_count_max ) THEN
	455	DO k = nzb_u_inner(j,i)+1, nzt
	456	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	457	ENDDO
	458	ENDIF
	459	ENDIF
	460
	461	ENDIF
	462
	463	!
	464	!-- Tendency terms for v-velocity component
	465	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	466
	467	tend(:,j,i) = 0.0_wp
	468	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	469	IF ( ws_scheme_mom ) THEN
	470	CALL advec_v_ws( i, j, i_omp_start, tn )
	471	ELSE
	472	CALL advec_v_pw( i, j )
	473	ENDIF
	474	ELSE
	475	CALL advec_v_up( i, j )
	476	ENDIF
	477	CALL diffusion_v( i, j )
	478	CALL coriolis( i, j, 2 )
	479
	480	!
	481	!-- Drag by plant canopy
	482	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
	483
	484	!
	485	!-- External pressure gradient
	486	IF ( dp_external ) THEN
	487	DO k = dp_level_ind_b+1, nzt
	488	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	489	ENDDO
	490	ENDIF
	491
	492	!
	493	!-- Nudging
	494	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	495
[1914]	496	!
	497	!-- Forces by wind turbines
	498	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 )
	499
[1875]	500	CALL user_actions( i, j, 'v-tendency' )
	501	!
	502	!-- Prognostic equation for v-velocity component
	503	DO k = nzb_v_inner(j,i)+1, nzt
	504	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	505	tsc(3) * tv_m(k,j,i) ) &
	506	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	507	ENDDO
	508
	509	!
	510	!-- Calculate tendencies for the next Runge-Kutta step
	511	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	512	IF ( intermediate_timestep_count == 1 ) THEN
	513	DO k = nzb_v_inner(j,i)+1, nzt
	514	tv_m(k,j,i) = tend(k,j,i)
	515	ENDDO
	516	ELSEIF ( intermediate_timestep_count < &
	517	intermediate_timestep_count_max ) THEN
	518	DO k = nzb_v_inner(j,i)+1, nzt
	519	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	520	ENDDO
	521	ENDIF
	522	ENDIF
	523
	524	ENDIF
	525
	526	!
	527	!-- Tendency terms for w-velocity component
	528	tend(:,j,i) = 0.0_wp
	529	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	530	IF ( ws_scheme_mom ) THEN
	531	CALL advec_w_ws( i, j, i_omp_start, tn )
	532	ELSE
	533	CALL advec_w_pw( i, j )
	534	END IF
	535	ELSE
	536	CALL advec_w_up( i, j )
	537	ENDIF
	538	CALL diffusion_w( i, j )
	539	CALL coriolis( i, j, 3 )
	540
	541	IF ( .NOT. neutral ) THEN
	542	IF ( ocean ) THEN
	543	CALL buoyancy( i, j, rho, 3 )
	544	ELSE
	545	IF ( .NOT. humidity ) THEN
	546	CALL buoyancy( i, j, pt, 3 )
	547	ELSE
	548	CALL buoyancy( i, j, vpt, 3 )
	549	ENDIF
	550	ENDIF
	551	ENDIF
	552
	553	!
	554	!-- Drag by plant canopy
	555	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
	556
[1914]	557	!
	558	!-- Forces by wind turbines
	559	IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 )
	560
[1875]	561	CALL user_actions( i, j, 'w-tendency' )
	562
	563	!
	564	!-- Prognostic equation for w-velocity component
	565	DO k = nzb_w_inner(j,i)+1, nzt-1
	566	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	567	tsc(3) * tw_m(k,j,i) ) &
	568	- tsc(5) * rdf(k) * w(k,j,i)
	569	ENDDO
	570
	571	!
	572	!-- Calculate tendencies for the next Runge-Kutta step
	573	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	574	IF ( intermediate_timestep_count == 1 ) THEN
	575	DO k = nzb_w_inner(j,i)+1, nzt-1
	576	tw_m(k,j,i) = tend(k,j,i)
	577	ENDDO
	578	ELSEIF ( intermediate_timestep_count < &
	579	intermediate_timestep_count_max ) THEN
	580	DO k = nzb_w_inner(j,i)+1, nzt-1
	581	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	582	ENDDO
	583	ENDIF
	584	ENDIF
	585
	586	!
	587	!-- If required, compute prognostic equation for potential temperature
	588	IF ( .NOT. neutral ) THEN
	589	!
	590	!-- Tendency terms for potential temperature
	591	tend(:,j,i) = 0.0_wp
	592	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	593	IF ( ws_scheme_sca ) THEN
	594	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	595	flux_l_pt, diss_l_pt, i_omp_start, tn )
	596	ELSE
	597	CALL advec_s_pw( i, j, pt )
	598	ENDIF
	599	ELSE
	600	CALL advec_s_up( i, j, pt )
	601	ENDIF
	602	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
	603
	604	!
	605	!-- If required compute heating/cooling due to long wave radiation
	606	!-- processes
	607	IF ( cloud_top_radiation ) THEN
	608	CALL calc_radiation( i, j )
	609	ENDIF
	610
	611	!
	612	!-- Consideration of heat sources within the plant canopy
	613	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
	614	CALL pcm_tendency( i, j, 4 )
	615	ENDIF
	616
	617	!
	618	!-- Large scale advection
	619	IF ( large_scale_forcing ) THEN
	620	CALL ls_advec( i, j, simulated_time, 'pt' )
	621	ENDIF
	622
	623	!
	624	!-- Nudging
	625	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	626
	627	!
	628	!-- If required, compute effect of large-scale subsidence/ascent
	629	IF ( large_scale_subsidence .AND. &
	630	.NOT. use_subsidence_tendencies ) THEN
	631	CALL subsidence( i, j, tend, pt, pt_init, 2 )
	632	ENDIF
	633
	634	!
	635	!-- If required, add tendency due to radiative heating/cooling
	636	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	637	simulated_time > skip_time_do_radiation ) THEN
	638	CALL radiation_tendency ( i, j, tend )
	639	ENDIF
	640
	641
	642	CALL user_actions( i, j, 'pt-tendency' )
	643
	644	!
	645	!-- Prognostic equation for potential temperature
	646	DO k = nzb_s_inner(j,i)+1, nzt
	647	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	648	tsc(3) * tpt_m(k,j,i) ) &
	649	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	650	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	651	ENDDO
	652
	653	!
	654	!-- Calculate tendencies for the next Runge-Kutta step
	655	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	656	IF ( intermediate_timestep_count == 1 ) THEN
	657	DO k = nzb_s_inner(j,i)+1, nzt
	658	tpt_m(k,j,i) = tend(k,j,i)
	659	ENDDO
	660	ELSEIF ( intermediate_timestep_count < &
	661	intermediate_timestep_count_max ) THEN
	662	DO k = nzb_s_inner(j,i)+1, nzt
	663	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	664	5.3125_wp * tpt_m(k,j,i)
	665	ENDDO
	666	ENDIF
	667	ENDIF
	668
	669	ENDIF
	670
	671	!
	672	!-- If required, compute prognostic equation for salinity
	673	IF ( ocean ) THEN
	674
	675	!
	676	!-- Tendency-terms for salinity
	677	tend(:,j,i) = 0.0_wp
	678	IF ( timestep_scheme(1:5) == 'runge' ) &
	679	THEN
	680	IF ( ws_scheme_sca ) THEN
	681	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	682	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	683	ELSE
	684	CALL advec_s_pw( i, j, sa )
	685	ENDIF
	686	ELSE
	687	CALL advec_s_up( i, j, sa )
	688	ENDIF
	689	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
	690
	691	CALL user_actions( i, j, 'sa-tendency' )
	692
	693	!
	694	!-- Prognostic equation for salinity
	695	DO k = nzb_s_inner(j,i)+1, nzt
	696	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	697	tsc(3) * tsa_m(k,j,i) ) &
	698	- tsc(5) * rdf_sc(k) * &
	699	( sa(k,j,i) - sa_init(k) )
	700	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	701	ENDDO
	702
	703	!
	704	!-- Calculate tendencies for the next Runge-Kutta step
	705	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	706	IF ( intermediate_timestep_count == 1 ) THEN
	707	DO k = nzb_s_inner(j,i)+1, nzt
	708	tsa_m(k,j,i) = tend(k,j,i)
	709	ENDDO
	710	ELSEIF ( intermediate_timestep_count < &
	711	intermediate_timestep_count_max ) THEN
	712	DO k = nzb_s_inner(j,i)+1, nzt
	713	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	714	5.3125_wp * tsa_m(k,j,i)
	715	ENDDO
	716	ENDIF
	717	ENDIF
	718
	719	!
	720	!-- Calculate density by the equation of state for seawater
	721	CALL eqn_state_seawater( i, j )
	722
	723	ENDIF
	724
	725	!
	726	!-- If required, compute prognostic equation for total water content /
	727	!-- scalar
	728	IF ( humidity .OR. passive_scalar ) THEN
	729
	730	!
	731	!-- Tendency-terms for total water content / scalar
	732	tend(:,j,i) = 0.0_wp
	733	IF ( timestep_scheme(1:5) == 'runge' ) &
	734	THEN
	735	IF ( ws_scheme_sca ) THEN
	736	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	737	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	738	ELSE
	739	CALL advec_s_pw( i, j, q )
	740	ENDIF
	741	ELSE
	742	CALL advec_s_up( i, j, q )
	743	ENDIF
	744	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
	745
	746	!
	747	!-- Sink or source of scalar concentration due to canopy elements
	748	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
	749
	750	!
	751	!-- Large scale advection
	752	IF ( large_scale_forcing ) THEN
	753	CALL ls_advec( i, j, simulated_time, 'q' )
	754	ENDIF
	755
	756	!
	757	!-- Nudging
	758	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	759
	760	!
	761	!-- If required compute influence of large-scale subsidence/ascent
	762	IF ( large_scale_subsidence .AND. &
	763	.NOT. use_subsidence_tendencies ) THEN
	764	CALL subsidence( i, j, tend, q, q_init, 3 )
	765	ENDIF
	766
	767	CALL user_actions( i, j, 'q-tendency' )
	768
	769	!
	770	!-- Prognostic equation for total water content / scalar
	771	DO k = nzb_s_inner(j,i)+1, nzt
	772	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	773	tsc(3) * tq_m(k,j,i) ) &
	774	- tsc(5) * rdf_sc(k) * &
	775	( q(k,j,i) - q_init(k) )
	776	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	777	ENDDO
	778
	779	!
	780	!-- Calculate tendencies for the next Runge-Kutta step
	781	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	782	IF ( intermediate_timestep_count == 1 ) THEN
	783	DO k = nzb_s_inner(j,i)+1, nzt
	784	tq_m(k,j,i) = tend(k,j,i)
	785	ENDDO
	786	ELSEIF ( intermediate_timestep_count < &
	787	intermediate_timestep_count_max ) THEN
	788	DO k = nzb_s_inner(j,i)+1, nzt
	789	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	790	5.3125_wp * tq_m(k,j,i)
	791	ENDDO
	792	ENDIF
	793	ENDIF
	794
	795	!
	796	!-- If required, calculate prognostic equations for rain water content
	797	!-- and rain drop concentration
	798	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	799	!
	800	!-- Calculate prognostic equation for rain water content
	801	tend(:,j,i) = 0.0_wp
	802	IF ( timestep_scheme(1:5) == 'runge' ) &
	803	THEN
	804	IF ( ws_scheme_sca ) THEN
	805	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	806	diss_s_qr, flux_l_qr, diss_l_qr, &
	807	i_omp_start, tn )
	808	ELSE
	809	CALL advec_s_pw( i, j, qr )
	810	ENDIF
	811	ELSE
	812	CALL advec_s_up( i, j, qr )
	813	ENDIF
	814	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	815
	816	!
	817	!-- Prognostic equation for rain water content
	818	DO k = nzb_s_inner(j,i)+1, nzt
	819	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	820	tsc(3) * tqr_m(k,j,i) ) &
	821	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	822	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	823	ENDDO
	824	!
	825	!-- Calculate tendencies for the next Runge-Kutta step
	826	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	827	IF ( intermediate_timestep_count == 1 ) THEN
	828	DO k = nzb_s_inner(j,i)+1, nzt
	829	tqr_m(k,j,i) = tend(k,j,i)
	830	ENDDO
	831	ELSEIF ( intermediate_timestep_count < &
	832	intermediate_timestep_count_max ) THEN
	833	DO k = nzb_s_inner(j,i)+1, nzt
	834	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	835	5.3125_wp * tqr_m(k,j,i)
	836	ENDDO
	837	ENDIF
	838	ENDIF
	839
	840	!
	841	!-- Calculate prognostic equation for rain drop concentration.
	842	tend(:,j,i) = 0.0_wp
	843	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	844	IF ( ws_scheme_sca ) THEN
	845	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	846	diss_s_nr, flux_l_nr, diss_l_nr, &
	847	i_omp_start, tn )
	848	ELSE
	849	CALL advec_s_pw( i, j, nr )
	850	ENDIF
	851	ELSE
	852	CALL advec_s_up( i, j, nr )
	853	ENDIF
	854	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	855
	856	!
	857	!-- Prognostic equation for rain drop concentration
	858	DO k = nzb_s_inner(j,i)+1, nzt
	859	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	860	tsc(3) * tnr_m(k,j,i) ) &
	861	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	862	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	863	ENDDO
	864	!
	865	!-- Calculate tendencies for the next Runge-Kutta step
	866	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	867	IF ( intermediate_timestep_count == 1 ) THEN
	868	DO k = nzb_s_inner(j,i)+1, nzt
	869	tnr_m(k,j,i) = tend(k,j,i)
	870	ENDDO
	871	ELSEIF ( intermediate_timestep_count < &
	872	intermediate_timestep_count_max ) THEN
	873	DO k = nzb_s_inner(j,i)+1, nzt
	874	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	875	5.3125_wp * tnr_m(k,j,i)
	876	ENDDO
	877	ENDIF
	878	ENDIF
	879
	880	ENDIF
	881
	882	ENDIF
	883
	884	!
	885	!-- If required, compute prognostic equation for turbulent kinetic
	886	!-- energy (TKE)
	887	IF ( .NOT. constant_diffusion ) THEN
	888
	889	!
	890	!-- Tendency-terms for TKE
	891	tend(:,j,i) = 0.0_wp
	892	IF ( timestep_scheme(1:5) == 'runge' &
	893	.AND. .NOT. use_upstream_for_tke ) THEN
	894	IF ( ws_scheme_sca ) THEN
	895	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	896	flux_l_e, diss_l_e , i_omp_start, tn )
	897	ELSE
	898	CALL advec_s_pw( i, j, e )
	899	ENDIF
	900	ELSE
	901	CALL advec_s_up( i, j, e )
	902	ENDIF
	903	IF ( .NOT. humidity ) THEN
	904	IF ( ocean ) THEN
	905	CALL diffusion_e( i, j, prho, prho_reference )
	906	ELSE
	907	CALL diffusion_e( i, j, pt, pt_reference )
	908	ENDIF
	909	ELSE
	910	CALL diffusion_e( i, j, vpt, pt_reference )
	911	ENDIF
	912	CALL production_e( i, j )
	913
	914	!
	915	!-- Additional sink term for flows through plant canopies
	916	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
	917
	918	CALL user_actions( i, j, 'e-tendency' )
	919
	920	!
	921	!-- Prognostic equation for TKE.
	922	!-- Eliminate negative TKE values, which can occur due to numerical
	923	!-- reasons in the course of the integration. In such cases the old
	924	!-- TKE value is reduced by 90%.
	925	DO k = nzb_s_inner(j,i)+1, nzt
	926	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	927	tsc(3) * te_m(k,j,i) )
	928	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	929	ENDDO
	930
	931	!
	932	!-- Calculate tendencies for the next Runge-Kutta step
	933	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	934	IF ( intermediate_timestep_count == 1 ) THEN
	935	DO k = nzb_s_inner(j,i)+1, nzt
	936	te_m(k,j,i) = tend(k,j,i)
	937	ENDDO
	938	ELSEIF ( intermediate_timestep_count < &
	939	intermediate_timestep_count_max ) THEN
	940	DO k = nzb_s_inner(j,i)+1, nzt
	941	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	942	5.3125_wp * te_m(k,j,i)
	943	ENDDO
	944	ENDIF
	945	ENDIF
	946
	947	ENDIF ! TKE equation
	948
	949	ENDDO
	950	ENDDO
	951	!$OMP END PARALLEL
	952
	953	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	954
	955
	956	END SUBROUTINE prognostic_equations_cache
	957
	958
	959	!------------------------------------------------------------------------------!
	960	! Description:
	961	! ------------
	962	!> Version for vector machines
	963	!------------------------------------------------------------------------------!
	964
	965	SUBROUTINE prognostic_equations_vector
	966
	967
	968	IMPLICIT NONE
	969
	970	INTEGER(iwp) :: i !<
	971	INTEGER(iwp) :: j !<
	972	INTEGER(iwp) :: k !<
	973
	974	REAL(wp) :: sbt !<
	975
	976
	977	!
	978	!-- If required, calculate cloud microphysical impacts
	979	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	980	( intermediate_timestep_count == 1 .OR. &
	981	call_microphysics_at_all_substeps ) &
	982	) THEN
	983	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	984	CALL microphysics_control
	985	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	986	ENDIF
	987
	988	!
	989	!-- u-velocity component
	990	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	991
	992	tend = 0.0_wp
	993	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	994	IF ( ws_scheme_mom ) THEN
	995	CALL advec_u_ws
	996	ELSE
	997	CALL advec_u_pw
	998	ENDIF
	999	ELSE
	1000	CALL advec_u_up
	1001	ENDIF
	1002	CALL diffusion_u
	1003	CALL coriolis( 1 )
	1004	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1005	CALL buoyancy( pt, 1 )
	1006	ENDIF
	1007
	1008	!
	1009	!-- Drag by plant canopy
	1010	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1011
	1012	!
	1013	!-- External pressure gradient
	1014	IF ( dp_external ) THEN
	1015	DO i = nxlu, nxr
	1016	DO j = nys, nyn
	1017	DO k = dp_level_ind_b+1, nzt
	1018	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1019	ENDDO
	1020	ENDDO
	1021	ENDDO
	1022	ENDIF
	1023
	1024	!
	1025	!-- Nudging
	1026	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1027
[1914]	1028	!
	1029	!-- Forces by wind turbines
	1030	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1031
[1875]	1032	CALL user_actions( 'u-tendency' )
	1033
	1034	!
	1035	!-- Prognostic equation for u-velocity component
	1036	DO i = nxlu, nxr
	1037	DO j = nys, nyn
	1038	DO k = nzb_u_inner(j,i)+1, nzt
	1039	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1040	tsc(3) * tu_m(k,j,i) ) &
	1041	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1042	ENDDO
	1043	ENDDO
	1044	ENDDO
	1045
	1046	!
	1047	!-- Calculate tendencies for the next Runge-Kutta step
	1048	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1049	IF ( intermediate_timestep_count == 1 ) THEN
	1050	DO i = nxlu, nxr
	1051	DO j = nys, nyn
	1052	DO k = nzb_u_inner(j,i)+1, nzt
	1053	tu_m(k,j,i) = tend(k,j,i)
	1054	ENDDO
	1055	ENDDO
	1056	ENDDO
	1057	ELSEIF ( intermediate_timestep_count < &
	1058	intermediate_timestep_count_max ) THEN
	1059	DO i = nxlu, nxr
	1060	DO j = nys, nyn
	1061	DO k = nzb_u_inner(j,i)+1, nzt
	1062	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1063	ENDDO
	1064	ENDDO
	1065	ENDDO
	1066	ENDIF
	1067	ENDIF
	1068
	1069	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1070
	1071	!
	1072	!-- v-velocity component
	1073	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1074
	1075	tend = 0.0_wp
	1076	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1077	IF ( ws_scheme_mom ) THEN
	1078	CALL advec_v_ws
	1079	ELSE
	1080	CALL advec_v_pw
	1081	END IF
	1082	ELSE
	1083	CALL advec_v_up
	1084	ENDIF
	1085	CALL diffusion_v
	1086	CALL coriolis( 2 )
	1087
	1088	!
	1089	!-- Drag by plant canopy
	1090	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1091
	1092	!
	1093	!-- External pressure gradient
	1094	IF ( dp_external ) THEN
	1095	DO i = nxl, nxr
	1096	DO j = nysv, nyn
	1097	DO k = dp_level_ind_b+1, nzt
	1098	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1099	ENDDO
	1100	ENDDO
	1101	ENDDO
	1102	ENDIF
	1103
	1104	!
	1105	!-- Nudging
	1106	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1107
[1914]	1108	!
	1109	!-- Forces by wind turbines
	1110	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1111
[1875]	1112	CALL user_actions( 'v-tendency' )
	1113
	1114	!
	1115	!-- Prognostic equation for v-velocity component
	1116	DO i = nxl, nxr
	1117	DO j = nysv, nyn
	1118	DO k = nzb_v_inner(j,i)+1, nzt
	1119	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1120	tsc(3) * tv_m(k,j,i) ) &
	1121	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1122	ENDDO
	1123	ENDDO
	1124	ENDDO
	1125
	1126	!
	1127	!-- Calculate tendencies for the next Runge-Kutta step
	1128	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1129	IF ( intermediate_timestep_count == 1 ) THEN
	1130	DO i = nxl, nxr
	1131	DO j = nysv, nyn
	1132	DO k = nzb_v_inner(j,i)+1, nzt
	1133	tv_m(k,j,i) = tend(k,j,i)
	1134	ENDDO
	1135	ENDDO
	1136	ENDDO
	1137	ELSEIF ( intermediate_timestep_count < &
	1138	intermediate_timestep_count_max ) THEN
	1139	DO i = nxl, nxr
	1140	DO j = nysv, nyn
	1141	DO k = nzb_v_inner(j,i)+1, nzt
	1142	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1143	ENDDO
	1144	ENDDO
	1145	ENDDO
	1146	ENDIF
	1147	ENDIF
	1148
	1149	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1150
	1151	!
	1152	!-- w-velocity component
	1153	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1154
	1155	tend = 0.0_wp
	1156	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1157	IF ( ws_scheme_mom ) THEN
	1158	CALL advec_w_ws
	1159	ELSE
	1160	CALL advec_w_pw
	1161	ENDIF
	1162	ELSE
	1163	CALL advec_w_up
	1164	ENDIF
	1165	CALL diffusion_w
	1166	CALL coriolis( 3 )
	1167
	1168	IF ( .NOT. neutral ) THEN
	1169	IF ( ocean ) THEN
	1170	CALL buoyancy( rho, 3 )
	1171	ELSE
	1172	IF ( .NOT. humidity ) THEN
	1173	CALL buoyancy( pt, 3 )
	1174	ELSE
	1175	CALL buoyancy( vpt, 3 )
	1176	ENDIF
	1177	ENDIF
	1178	ENDIF
	1179
	1180	!
	1181	!-- Drag by plant canopy
	1182	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	1183
[1914]	1184	!
	1185	!-- Forces by wind turbines
	1186	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	1187
[1875]	1188	CALL user_actions( 'w-tendency' )
	1189
	1190	!
	1191	!-- Prognostic equation for w-velocity component
	1192	DO i = nxl, nxr
	1193	DO j = nys, nyn
	1194	DO k = nzb_w_inner(j,i)+1, nzt-1
	1195	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1196	tsc(3) * tw_m(k,j,i) ) &
	1197	- tsc(5) * rdf(k) * w(k,j,i)
	1198	ENDDO
	1199	ENDDO
	1200	ENDDO
	1201
	1202	!
	1203	!-- Calculate tendencies for the next Runge-Kutta step
	1204	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1205	IF ( intermediate_timestep_count == 1 ) THEN
	1206	DO i = nxl, nxr
	1207	DO j = nys, nyn
	1208	DO k = nzb_w_inner(j,i)+1, nzt-1
	1209	tw_m(k,j,i) = tend(k,j,i)
	1210	ENDDO
	1211	ENDDO
	1212	ENDDO
	1213	ELSEIF ( intermediate_timestep_count < &
	1214	intermediate_timestep_count_max ) THEN
	1215	DO i = nxl, nxr
	1216	DO j = nys, nyn
	1217	DO k = nzb_w_inner(j,i)+1, nzt-1
	1218	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	1219	ENDDO
	1220	ENDDO
	1221	ENDDO
	1222	ENDIF
	1223	ENDIF
	1224
	1225	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1226
	1227
	1228	!
	1229	!-- If required, compute prognostic equation for potential temperature
	1230	IF ( .NOT. neutral ) THEN
	1231
	1232	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1233
	1234	!
	1235	!-- pt-tendency terms with communication
	1236	sbt = tsc(2)
	1237	IF ( scalar_advec == 'bc-scheme' ) THEN
	1238
	1239	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1240	!
	1241	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1242	sbt = 1.0_wp
	1243	ENDIF
	1244	tend = 0.0_wp
	1245	CALL advec_s_bc( pt, 'pt' )
	1246
	1247	ENDIF
	1248
	1249	!
	1250	!-- pt-tendency terms with no communication
	1251	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1252	tend = 0.0_wp
	1253	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1254	IF ( ws_scheme_sca ) THEN
	1255	CALL advec_s_ws( pt, 'pt' )
	1256	ELSE
	1257	CALL advec_s_pw( pt )
	1258	ENDIF
	1259	ELSE
	1260	CALL advec_s_up( pt )
	1261	ENDIF
	1262	ENDIF
	1263
	1264	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1265
	1266	!
	1267	!-- If required compute heating/cooling due to long wave radiation processes
	1268	IF ( cloud_top_radiation ) THEN
	1269	CALL calc_radiation
	1270	ENDIF
	1271
	1272	!
	1273	!-- Consideration of heat sources within the plant canopy
	1274	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	1275	CALL pcm_tendency( 4 )
	1276	ENDIF
	1277
	1278	!
	1279	!-- Large scale advection
	1280	IF ( large_scale_forcing ) THEN
	1281	CALL ls_advec( simulated_time, 'pt' )
	1282	ENDIF
	1283
	1284	!
	1285	!-- Nudging
	1286	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1287
	1288	!
	1289	!-- If required compute influence of large-scale subsidence/ascent
	1290	IF ( large_scale_subsidence .AND. &
	1291	.NOT. use_subsidence_tendencies ) THEN
	1292	CALL subsidence( tend, pt, pt_init, 2 )
	1293	ENDIF
	1294
	1295	!
	1296	!-- If required, add tendency due to radiative heating/cooling
	1297	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	1298	simulated_time > skip_time_do_radiation ) THEN
	1299	CALL radiation_tendency ( tend )
	1300	ENDIF
	1301
	1302	CALL user_actions( 'pt-tendency' )
	1303
	1304	!
	1305	!-- Prognostic equation for potential temperature
	1306	DO i = nxl, nxr
	1307	DO j = nys, nyn
	1308	DO k = nzb_s_inner(j,i)+1, nzt
	1309	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1310	tsc(3) * tpt_m(k,j,i) ) &
	1311	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1312	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	1313	ENDDO
	1314	ENDDO
	1315	ENDDO
	1316
	1317	!
	1318	!-- Calculate tendencies for the next Runge-Kutta step
	1319	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1320	IF ( intermediate_timestep_count == 1 ) THEN
	1321	DO i = nxl, nxr
	1322	DO j = nys, nyn
	1323	DO k = nzb_s_inner(j,i)+1, nzt
	1324	tpt_m(k,j,i) = tend(k,j,i)
	1325	ENDDO
	1326	ENDDO
	1327	ENDDO
	1328	ELSEIF ( intermediate_timestep_count < &
	1329	intermediate_timestep_count_max ) THEN
	1330	DO i = nxl, nxr
	1331	DO j = nys, nyn
	1332	DO k = nzb_s_inner(j,i)+1, nzt
	1333	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1334	5.3125_wp * tpt_m(k,j,i)
	1335	ENDDO
	1336	ENDDO
	1337	ENDDO
	1338	ENDIF
	1339	ENDIF
	1340
	1341	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1342
	1343	ENDIF
	1344
	1345	!
	1346	!-- If required, compute prognostic equation for salinity
	1347	IF ( ocean ) THEN
	1348
	1349	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1350
	1351	!
	1352	!-- sa-tendency terms with communication
	1353	sbt = tsc(2)
	1354	IF ( scalar_advec == 'bc-scheme' ) THEN
	1355
	1356	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1357	!
	1358	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1359	sbt = 1.0_wp
	1360	ENDIF
	1361	tend = 0.0_wp
	1362	CALL advec_s_bc( sa, 'sa' )
	1363
	1364	ENDIF
	1365
	1366	!
	1367	!-- sa-tendency terms with no communication
	1368	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1369	tend = 0.0_wp
	1370	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1371	IF ( ws_scheme_sca ) THEN
	1372	CALL advec_s_ws( sa, 'sa' )
	1373	ELSE
	1374	CALL advec_s_pw( sa )
	1375	ENDIF
	1376	ELSE
	1377	CALL advec_s_up( sa )
	1378	ENDIF
	1379	ENDIF
	1380
	1381	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	1382
	1383	CALL user_actions( 'sa-tendency' )
	1384
	1385	!
	1386	!-- Prognostic equation for salinity
	1387	DO i = nxl, nxr
	1388	DO j = nys, nyn
	1389	DO k = nzb_s_inner(j,i)+1, nzt
	1390	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1391	tsc(3) * tsa_m(k,j,i) ) &
	1392	- tsc(5) * rdf_sc(k) * &
	1393	( sa(k,j,i) - sa_init(k) )
	1394	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	1395	ENDDO
	1396	ENDDO
	1397	ENDDO
	1398
	1399	!
	1400	!-- Calculate tendencies for the next Runge-Kutta step
	1401	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1402	IF ( intermediate_timestep_count == 1 ) THEN
	1403	DO i = nxl, nxr
	1404	DO j = nys, nyn
	1405	DO k = nzb_s_inner(j,i)+1, nzt
	1406	tsa_m(k,j,i) = tend(k,j,i)
	1407	ENDDO
	1408	ENDDO
	1409	ENDDO
	1410	ELSEIF ( intermediate_timestep_count < &
	1411	intermediate_timestep_count_max ) THEN
	1412	DO i = nxl, nxr
	1413	DO j = nys, nyn
	1414	DO k = nzb_s_inner(j,i)+1, nzt
	1415	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1416	5.3125_wp * tsa_m(k,j,i)
	1417	ENDDO
	1418	ENDDO
	1419	ENDDO
	1420	ENDIF
	1421	ENDIF
	1422
	1423	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1424
	1425	!
	1426	!-- Calculate density by the equation of state for seawater
	1427	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1428	CALL eqn_state_seawater
	1429	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1430
	1431	ENDIF
	1432
	1433	!
	1434	!-- If required, compute prognostic equation for total water content / scalar
	1435	IF ( humidity .OR. passive_scalar ) THEN
	1436
	1437	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1438
	1439	!
	1440	!-- Scalar/q-tendency terms with communication
	1441	sbt = tsc(2)
	1442	IF ( scalar_advec == 'bc-scheme' ) THEN
	1443
	1444	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1445	!
	1446	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1447	sbt = 1.0_wp
	1448	ENDIF
	1449	tend = 0.0_wp
	1450	CALL advec_s_bc( q, 'q' )
	1451
	1452	ENDIF
	1453
	1454	!
	1455	!-- Scalar/q-tendency terms with no communication
	1456	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1457	tend = 0.0_wp
	1458	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1459	IF ( ws_scheme_sca ) THEN
	1460	CALL advec_s_ws( q, 'q' )
	1461	ELSE
	1462	CALL advec_s_pw( q )
	1463	ENDIF
	1464	ELSE
	1465	CALL advec_s_up( q )
	1466	ENDIF
	1467	ENDIF
	1468
	1469	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	1470
	1471	!
	1472	!-- Sink or source of scalar concentration due to canopy elements
	1473	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	1474
	1475	!
	1476	!-- Large scale advection
	1477	IF ( large_scale_forcing ) THEN
	1478	CALL ls_advec( simulated_time, 'q' )
	1479	ENDIF
	1480
	1481	!
	1482	!-- Nudging
	1483	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1484
	1485	!
	1486	!-- If required compute influence of large-scale subsidence/ascent
	1487	IF ( large_scale_subsidence .AND. &
	1488	.NOT. use_subsidence_tendencies ) THEN
	1489	CALL subsidence( tend, q, q_init, 3 )
	1490	ENDIF
	1491
	1492	CALL user_actions( 'q-tendency' )
	1493
	1494	!
	1495	!-- Prognostic equation for total water content / scalar
	1496	DO i = nxl, nxr
	1497	DO j = nys, nyn
	1498	DO k = nzb_s_inner(j,i)+1, nzt
	1499	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1500	tsc(3) * tq_m(k,j,i) ) &
	1501	- tsc(5) * rdf_sc(k) * &
	1502	( q(k,j,i) - q_init(k) )
	1503	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	1504	ENDDO
	1505	ENDDO
	1506	ENDDO
	1507
	1508	!
	1509	!-- Calculate tendencies for the next Runge-Kutta step
	1510	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1511	IF ( intermediate_timestep_count == 1 ) THEN
	1512	DO i = nxl, nxr
	1513	DO j = nys, nyn
	1514	DO k = nzb_s_inner(j,i)+1, nzt
	1515	tq_m(k,j,i) = tend(k,j,i)
	1516	ENDDO
	1517	ENDDO
	1518	ENDDO
	1519	ELSEIF ( intermediate_timestep_count < &
	1520	intermediate_timestep_count_max ) THEN
	1521	DO i = nxl, nxr
	1522	DO j = nys, nyn
	1523	DO k = nzb_s_inner(j,i)+1, nzt
	1524	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	1525	ENDDO
	1526	ENDDO
	1527	ENDDO
	1528	ENDIF
	1529	ENDIF
	1530
	1531	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1532
	1533	!
	1534	!-- If required, calculate prognostic equations for rain water content
	1535	!-- and rain drop concentration
	1536	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	1537
	1538	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1539
	1540	!
	1541	!-- Calculate prognostic equation for rain water content
	1542	sbt = tsc(2)
	1543	IF ( scalar_advec == 'bc-scheme' ) THEN
	1544
	1545	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1546	!
	1547	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1548	sbt = 1.0_wp
	1549	ENDIF
	1550	tend = 0.0_wp
	1551	CALL advec_s_bc( qr, 'qr' )
	1552
	1553	ENDIF
	1554
	1555	!
	1556	!-- qr-tendency terms with no communication
	1557	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1558	tend = 0.0_wp
	1559	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1560	IF ( ws_scheme_sca ) THEN
	1561	CALL advec_s_ws( qr, 'qr' )
	1562	ELSE
	1563	CALL advec_s_pw( qr )
	1564	ENDIF
	1565	ELSE
	1566	CALL advec_s_up( qr )
	1567	ENDIF
	1568	ENDIF
	1569
	1570	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1571
	1572	CALL user_actions( 'qr-tendency' )
	1573
	1574	!
	1575	!-- Prognostic equation for rain water content
	1576	DO i = nxl, nxr
	1577	DO j = nys, nyn
	1578	DO k = nzb_s_inner(j,i)+1, nzt
	1579	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1580	tsc(3) * tqr_m(k,j,i) ) &
	1581	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1582	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	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	tqr_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	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1604	tqr_m(k,j,i)
	1605	ENDDO
	1606	ENDDO
	1607	ENDDO
	1608	ENDIF
	1609	ENDIF
	1610
	1611	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1612	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1613
	1614	!
	1615	!-- Calculate prognostic equation for rain drop concentration
	1616	sbt = tsc(2)
	1617	IF ( scalar_advec == 'bc-scheme' ) THEN
	1618
	1619	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1620	!
	1621	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1622	sbt = 1.0_wp
	1623	ENDIF
	1624	tend = 0.0_wp
	1625	CALL advec_s_bc( nr, 'nr' )
	1626
	1627	ENDIF
	1628
	1629	!
	1630	!-- nr-tendency terms with no communication
	1631	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1632	tend = 0.0_wp
	1633	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1634	IF ( ws_scheme_sca ) THEN
	1635	CALL advec_s_ws( nr, 'nr' )
	1636	ELSE
	1637	CALL advec_s_pw( nr )
	1638	ENDIF
	1639	ELSE
	1640	CALL advec_s_up( nr )
	1641	ENDIF
	1642	ENDIF
	1643
	1644	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1645
	1646	!
	1647	!-- Prognostic equation for rain drop concentration
	1648	DO i = nxl, nxr
	1649	DO j = nys, nyn
	1650	DO k = nzb_s_inner(j,i)+1, nzt
	1651	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1652	tsc(3) * tnr_m(k,j,i) ) &
	1653	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1654	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1655	ENDDO
	1656	ENDDO
	1657	ENDDO
	1658
	1659	!
	1660	!-- Calculate tendencies for the next Runge-Kutta step
	1661	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1662	IF ( intermediate_timestep_count == 1 ) THEN
	1663	DO i = nxl, nxr
	1664	DO j = nys, nyn
	1665	DO k = nzb_s_inner(j,i)+1, nzt
	1666	tnr_m(k,j,i) = tend(k,j,i)
	1667	ENDDO
	1668	ENDDO
	1669	ENDDO
	1670	ELSEIF ( intermediate_timestep_count < &
	1671	intermediate_timestep_count_max ) THEN
	1672	DO i = nxl, nxr
	1673	DO j = nys, nyn
	1674	DO k = nzb_s_inner(j,i)+1, nzt
	1675	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1676	tnr_m(k,j,i)
	1677	ENDDO
	1678	ENDDO
	1679	ENDDO
	1680	ENDIF
	1681	ENDIF
	1682
	1683	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1684
	1685	ENDIF
	1686
	1687	ENDIF
	1688
	1689	!
	1690	!-- If required, compute prognostic equation for turbulent kinetic
	1691	!-- energy (TKE)
	1692	IF ( .NOT. constant_diffusion ) THEN
	1693
	1694	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1695
	1696	sbt = tsc(2)
	1697	IF ( .NOT. use_upstream_for_tke ) THEN
	1698	IF ( scalar_advec == 'bc-scheme' ) THEN
	1699
	1700	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1701	!
	1702	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1703	sbt = 1.0_wp
	1704	ENDIF
	1705	tend = 0.0_wp
	1706	CALL advec_s_bc( e, 'e' )
	1707
	1708	ENDIF
	1709	ENDIF
	1710
	1711	!
	1712	!-- TKE-tendency terms with no communication
	1713	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	1714	IF ( use_upstream_for_tke ) THEN
	1715	tend = 0.0_wp
	1716	CALL advec_s_up( e )
	1717	ELSE
	1718	tend = 0.0_wp
	1719	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1720	IF ( ws_scheme_sca ) THEN
	1721	CALL advec_s_ws( e, 'e' )
	1722	ELSE
	1723	CALL advec_s_pw( e )
	1724	ENDIF
	1725	ELSE
	1726	CALL advec_s_up( e )
	1727	ENDIF
	1728	ENDIF
	1729	ENDIF
	1730
	1731	IF ( .NOT. humidity ) THEN
	1732	IF ( ocean ) THEN
	1733	CALL diffusion_e( prho, prho_reference )
	1734	ELSE
	1735	CALL diffusion_e( pt, pt_reference )
	1736	ENDIF
	1737	ELSE
	1738	CALL diffusion_e( vpt, pt_reference )
	1739	ENDIF
	1740
	1741	CALL production_e
	1742
	1743	!
	1744	!-- Additional sink term for flows through plant canopies
	1745	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	1746	CALL user_actions( 'e-tendency' )
	1747
	1748	!
	1749	!-- Prognostic equation for TKE.
	1750	!-- Eliminate negative TKE values, which can occur due to numerical
	1751	!-- reasons in the course of the integration. In such cases the old TKE
	1752	!-- value is reduced by 90%.
	1753	DO i = nxl, nxr
	1754	DO j = nys, nyn
	1755	DO k = nzb_s_inner(j,i)+1, nzt
	1756	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1757	tsc(3) * te_m(k,j,i) )
	1758	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	1759	ENDDO
	1760	ENDDO
	1761	ENDDO
	1762
	1763	!
	1764	!-- Calculate tendencies for the next Runge-Kutta step
	1765	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1766	IF ( intermediate_timestep_count == 1 ) THEN
	1767	DO i = nxl, nxr
	1768	DO j = nys, nyn
	1769	DO k = nzb_s_inner(j,i)+1, nzt
	1770	te_m(k,j,i) = tend(k,j,i)
	1771	ENDDO
	1772	ENDDO
	1773	ENDDO
	1774	ELSEIF ( intermediate_timestep_count < &
	1775	intermediate_timestep_count_max ) THEN
	1776	DO i = nxl, nxr
	1777	DO j = nys, nyn
	1778	DO k = nzb_s_inner(j,i)+1, nzt
	1779	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	1780	ENDDO
	1781	ENDDO
	1782	ENDDO
	1783	ENDIF
	1784	ENDIF
	1785
	1786	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1787
	1788	ENDIF
	1789
	1790	END SUBROUTINE prognostic_equations_vector
	1791
	1792
	1793	!------------------------------------------------------------------------------!
	1794	! Description:
	1795	! ------------
	1796	!> Version for accelerator boards
	1797	!------------------------------------------------------------------------------!
	1798
	1799	SUBROUTINE prognostic_equations_acc
	1800
	1801
	1802	IMPLICIT NONE
	1803
	1804	INTEGER(iwp) :: i !<
	1805	INTEGER(iwp) :: j !<
	1806	INTEGER(iwp) :: k !<
	1807	INTEGER(iwp) :: runge_step !<
	1808
	1809	REAL(wp) :: sbt !<
	1810
	1811	!
	1812	!-- Set switch for intermediate Runge-Kutta step
	1813	runge_step = 0
	1814	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1815	IF ( intermediate_timestep_count == 1 ) THEN
	1816	runge_step = 1
	1817	ELSEIF ( intermediate_timestep_count < &
	1818	intermediate_timestep_count_max ) THEN
	1819	runge_step = 2
	1820	ENDIF
	1821	ENDIF
	1822
	1823	!
	1824	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	1825	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
	1826	( intermediate_timestep_count == 1 .OR. &
	1827	call_microphysics_at_all_substeps ) &
	1828	) THEN
	1829	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1830	CALL microphysics_control
	1831	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1832	ENDIF
	1833
	1834	!
	1835	!-- u-velocity component
	1836	!++ Statistics still not completely ported to accelerators
	1837	!$acc update device( hom, ref_state )
	1838	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1839
	1840	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1841	IF ( ws_scheme_mom ) THEN
	1842	CALL advec_u_ws_acc
	1843	ELSE
	1844	tend = 0.0_wp ! to be removed later??
	1845	CALL advec_u_pw
	1846	ENDIF
	1847	ELSE
	1848	CALL advec_u_up
	1849	ENDIF
	1850	CALL diffusion_u_acc
	1851	CALL coriolis_acc( 1 )
	1852	IF ( sloping_surface .AND. .NOT. neutral ) THEN
	1853	CALL buoyancy( pt, 1 )
	1854	ENDIF
	1855
	1856	!
	1857	!-- Drag by plant canopy
	1858	IF ( plant_canopy ) CALL pcm_tendency( 1 )
	1859
	1860	!
	1861	!-- External pressure gradient
	1862	IF ( dp_external ) THEN
	1863	DO i = i_left, i_right
	1864	DO j = j_south, j_north
	1865	DO k = dp_level_ind_b+1, nzt
	1866	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1867	ENDDO
	1868	ENDDO
	1869	ENDDO
	1870	ENDIF
	1871
	1872	!
	1873	!-- Nudging
	1874	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1875
[1914]	1876	!
	1877	!-- Forces by wind turbines
	1878	IF ( wind_turbine ) CALL wtm_tendencies( 1 )
	1879
[1875]	1880	CALL user_actions( 'u-tendency' )
	1881
	1882	!
	1883	!-- Prognostic equation for u-velocity component
	1884	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, u_init, u_p )
	1885	!$acc loop independent
	1886	DO i = i_left, i_right
	1887	!$acc loop independent
	1888	DO j = j_south, j_north
	1889	!$acc loop independent
	1890	DO k = 1, nzt
	1891	IF ( k > nzb_u_inner(j,i) ) THEN
	1892	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1893	tsc(3) * tu_m(k,j,i) ) &
	1894	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
	1895	!
	1896	!-- Tendencies for the next Runge-Kutta step
	1897	IF ( runge_step == 1 ) THEN
	1898	tu_m(k,j,i) = tend(k,j,i)
	1899	ELSEIF ( runge_step == 2 ) THEN
	1900	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
	1901	ENDIF
	1902	ENDIF
	1903	ENDDO
	1904	ENDDO
	1905	ENDDO
	1906	!$acc end kernels
	1907
	1908	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1909
	1910	!
	1911	!-- v-velocity component
	1912	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1913
	1914	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1915	IF ( ws_scheme_mom ) THEN
	1916	CALL advec_v_ws_acc
	1917	ELSE
	1918	tend = 0.0_wp ! to be removed later??
	1919	CALL advec_v_pw
	1920	END IF
	1921	ELSE
	1922	CALL advec_v_up
	1923	ENDIF
	1924	CALL diffusion_v_acc
	1925	CALL coriolis_acc( 2 )
	1926
	1927	!
	1928	!-- Drag by plant canopy
	1929	IF ( plant_canopy ) CALL pcm_tendency( 2 )
	1930
	1931	!
	1932	!-- External pressure gradient
	1933	IF ( dp_external ) THEN
	1934	DO i = i_left, i_right
	1935	DO j = j_south, j_north
	1936	DO k = dp_level_ind_b+1, nzt
	1937	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1938	ENDDO
	1939	ENDDO
	1940	ENDDO
	1941	ENDIF
	1942
	1943	!
	1944	!-- Nudging
	1945	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1946
[1914]	1947	!
	1948	!-- Forces by wind turbines
	1949	IF ( wind_turbine ) CALL wtm_tendencies( 2 )
	1950
[1875]	1951	CALL user_actions( 'v-tendency' )
	1952
	1953	!
	1954	!-- Prognostic equation for v-velocity component
	1955	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, v_init, v_p )
	1956	!$acc loop independent
	1957	DO i = i_left, i_right
	1958	!$acc loop independent
	1959	DO j = j_south, j_north
	1960	!$acc loop independent
	1961	DO k = 1, nzt
	1962	IF ( k > nzb_v_inner(j,i) ) THEN
	1963	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1964	tsc(3) * tv_m(k,j,i) ) &
	1965	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
	1966	!
	1967	!-- Tendencies for the next Runge-Kutta step
	1968	IF ( runge_step == 1 ) THEN
	1969	tv_m(k,j,i) = tend(k,j,i)
	1970	ELSEIF ( runge_step == 2 ) THEN
	1971	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
	1972	ENDIF
	1973	ENDIF
	1974	ENDDO
	1975	ENDDO
	1976	ENDDO
	1977	!$acc end kernels
	1978
	1979	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1980
	1981	!
	1982	!-- w-velocity component
	1983	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1984
	1985	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1986	IF ( ws_scheme_mom ) THEN
	1987	CALL advec_w_ws_acc
	1988	ELSE
	1989	tend = 0.0_wp ! to be removed later??
	1990	CALL advec_w_pw
	1991	ENDIF
	1992	ELSE
	1993	CALL advec_w_up
	1994	ENDIF
	1995	CALL diffusion_w_acc
	1996	CALL coriolis_acc( 3 )
	1997
	1998	IF ( .NOT. neutral ) THEN
	1999	IF ( ocean ) THEN
	2000	CALL buoyancy( rho, 3 )
	2001	ELSE
	2002	IF ( .NOT. humidity ) THEN
	2003	CALL buoyancy_acc( pt, 3 )
	2004	ELSE
	2005	CALL buoyancy( vpt, 3 )
	2006	ENDIF
	2007	ENDIF
	2008	ENDIF
	2009
	2010	!
	2011	!-- Drag by plant canopy
	2012	IF ( plant_canopy ) CALL pcm_tendency( 3 )
	2013
[1914]	2014	!
	2015	!-- Forces by wind turbines
	2016	IF ( wind_turbine ) CALL wtm_tendencies( 3 )
	2017
[1875]	2018	CALL user_actions( 'w-tendency' )
	2019
	2020	!
	2021	!-- Prognostic equation for w-velocity component
	2022	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
	2023	!$acc loop independent
	2024	DO i = i_left, i_right
	2025	!$acc loop independent
	2026	DO j = j_south, j_north
	2027	!$acc loop independent
	2028	DO k = 1, nzt-1
	2029	IF ( k > nzb_w_inner(j,i) ) THEN
	2030	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	2031	tsc(3) * tw_m(k,j,i) ) &
	2032	- tsc(5) * rdf(k) * w(k,j,i)
	2033	!
	2034	!-- Tendencies for the next Runge-Kutta step
	2035	IF ( runge_step == 1 ) THEN
	2036	tw_m(k,j,i) = tend(k,j,i)
	2037	ELSEIF ( runge_step == 2 ) THEN
	2038	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
	2039	ENDIF
	2040	ENDIF
	2041	ENDDO
	2042	ENDDO
	2043	ENDDO
	2044	!$acc end kernels
	2045
	2046	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	2047
	2048
	2049	!
	2050	!-- If required, compute prognostic equation for potential temperature
	2051	IF ( .NOT. neutral ) THEN
	2052
	2053	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	2054
	2055	!
	2056	!-- pt-tendency terms with communication
	2057	sbt = tsc(2)
	2058	IF ( scalar_advec == 'bc-scheme' ) THEN
	2059
	2060	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2061	!
	2062	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2063	sbt = 1.0_wp
	2064	ENDIF
	2065	tend = 0.0_wp
	2066	CALL advec_s_bc( pt, 'pt' )
	2067
	2068	ENDIF
	2069
	2070	!
	2071	!-- pt-tendency terms with no communication
	2072	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2073	tend = 0.0_wp
	2074	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2075	IF ( ws_scheme_sca ) THEN
	2076	CALL advec_s_ws_acc( pt, 'pt' )
	2077	ELSE
	2078	tend = 0.0_wp ! to be removed later??
	2079	CALL advec_s_pw( pt )
	2080	ENDIF
	2081	ELSE
	2082	CALL advec_s_up( pt )
	2083	ENDIF
	2084	ENDIF
	2085
	2086	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2087
	2088	!
	2089	!-- If required compute heating/cooling due to long wave radiation processes
	2090	IF ( cloud_top_radiation ) THEN
	2091	CALL calc_radiation
	2092	ENDIF
	2093
	2094	!
	2095	!-- Consideration of heat sources within the plant canopy
	2096	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
	2097	CALL pcm_tendency( 4 )
	2098	ENDIF
	2099
	2100	!
	2101	!-- Large scale advection
	2102	IF ( large_scale_forcing ) THEN
	2103	CALL ls_advec( simulated_time, 'pt' )
	2104	ENDIF
	2105
	2106	!
	2107	!-- Nudging
	2108	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2109
	2110	!
	2111	!-- If required compute influence of large-scale subsidence/ascent
	2112	IF ( large_scale_subsidence .AND. &
	2113	.NOT. use_subsidence_tendencies ) THEN
	2114	CALL subsidence( tend, pt, pt_init, 2 )
	2115	ENDIF
	2116
	2117	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	2118	simulated_time > skip_time_do_radiation ) THEN
	2119	CALL radiation_tendency ( tend )
	2120	ENDIF
	2121
	2122	CALL user_actions( 'pt-tendency' )
	2123
	2124	!
	2125	!-- Prognostic equation for potential temperature
	2126	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2127	!$acc present( tend, tpt_m, pt, pt_p )
	2128	!$acc loop independent
	2129	DO i = i_left, i_right
	2130	!$acc loop independent
	2131	DO j = j_south, j_north
	2132	!$acc loop independent
	2133	DO k = 1, nzt
	2134	IF ( k > nzb_s_inner(j,i) ) THEN
	2135	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2136	tsc(3) * tpt_m(k,j,i) ) &
	2137	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2138	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2139	!
	2140	!-- Tendencies for the next Runge-Kutta step
	2141	IF ( runge_step == 1 ) THEN
	2142	tpt_m(k,j,i) = tend(k,j,i)
	2143	ELSEIF ( runge_step == 2 ) THEN
	2144	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
	2145	ENDIF
	2146	ENDIF
	2147	ENDDO
	2148	ENDDO
	2149	ENDDO
	2150	!$acc end kernels
	2151
	2152	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2153
	2154	ENDIF
	2155
	2156	!
	2157	!-- If required, compute prognostic equation for salinity
	2158	IF ( ocean ) THEN
	2159
	2160	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2161
	2162	!
	2163	!-- sa-tendency terms with communication
	2164	sbt = tsc(2)
	2165	IF ( scalar_advec == 'bc-scheme' ) THEN
	2166
	2167	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2168	!
	2169	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2170	sbt = 1.0_wp
	2171	ENDIF
	2172	tend = 0.0_wp
	2173	CALL advec_s_bc( sa, 'sa' )
	2174
	2175	ENDIF
	2176
	2177	!
	2178	!-- sa-tendency terms with no communication
	2179	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2180	tend = 0.0_wp
	2181	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2182	IF ( ws_scheme_sca ) THEN
	2183	CALL advec_s_ws( sa, 'sa' )
	2184	ELSE
	2185	CALL advec_s_pw( sa )
	2186	ENDIF
	2187	ELSE
	2188	CALL advec_s_up( sa )
	2189	ENDIF
	2190	ENDIF
	2191
	2192	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2193
	2194	CALL user_actions( 'sa-tendency' )
	2195
	2196	!
	2197	!-- Prognostic equation for salinity
	2198	DO i = i_left, i_right
	2199	DO j = j_south, j_north
	2200	DO k = nzb_s_inner(j,i)+1, nzt
	2201	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2202	tsc(3) * tsa_m(k,j,i) ) &
	2203	- tsc(5) * rdf_sc(k) * &
	2204	( sa(k,j,i) - sa_init(k) )
	2205	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
	2206	!
	2207	!-- Tendencies for the next Runge-Kutta step
	2208	IF ( runge_step == 1 ) THEN
	2209	tsa_m(k,j,i) = tend(k,j,i)
	2210	ELSEIF ( runge_step == 2 ) THEN
	2211	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
	2212	ENDIF
	2213	ENDDO
	2214	ENDDO
	2215	ENDDO
	2216
	2217	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2218
	2219	!
	2220	!-- Calculate density by the equation of state for seawater
	2221	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2222	CALL eqn_state_seawater
	2223	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2224
	2225	ENDIF
	2226
	2227	!
	2228	!-- If required, compute prognostic equation for total water content / scalar
	2229	IF ( humidity .OR. passive_scalar ) THEN
	2230
	2231	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2232
	2233	!
	2234	!-- Scalar/q-tendency terms with communication
	2235	sbt = tsc(2)
	2236	IF ( scalar_advec == 'bc-scheme' ) THEN
	2237
	2238	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2239	!
	2240	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2241	sbt = 1.0_wp
	2242	ENDIF
	2243	tend = 0.0_wp
	2244	CALL advec_s_bc( q, 'q' )
	2245
	2246	ENDIF
	2247
	2248	!
	2249	!-- Scalar/q-tendency terms with no communication
	2250	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2251	tend = 0.0_wp
	2252	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2253	IF ( ws_scheme_sca ) THEN
	2254	CALL advec_s_ws( q, 'q' )
	2255	ELSE
	2256	CALL advec_s_pw( q )
	2257	ENDIF
	2258	ELSE
	2259	CALL advec_s_up( q )
	2260	ENDIF
	2261	ENDIF
	2262
	2263	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2264
	2265	!
	2266	!-- Sink or source of scalar concentration due to canopy elements
	2267	IF ( plant_canopy ) CALL pcm_tendency( 5 )
	2268
	2269	!
	2270	!-- Large scale advection
	2271	IF ( large_scale_forcing ) THEN
	2272	CALL ls_advec( simulated_time, 'q' )
	2273	ENDIF
	2274
	2275	!
	2276	!-- Nudging
	2277	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2278
	2279	!
	2280	!-- If required compute influence of large-scale subsidence/ascent
	2281	IF ( large_scale_subsidence .AND. &
	2282	.NOT. use_subsidence_tendencies ) THEN
	2283	CALL subsidence( tend, q, q_init, 3 )
	2284	ENDIF
	2285
	2286	CALL user_actions( 'q-tendency' )
	2287
	2288	!
	2289	!-- Prognostic equation for total water content / scalar
	2290	DO i = i_left, i_right
	2291	DO j = j_south, j_north
	2292	DO k = nzb_s_inner(j,i)+1, nzt
	2293	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2294	tsc(3) * tq_m(k,j,i) ) &
	2295	- tsc(5) * rdf_sc(k) * &
	2296	( q(k,j,i) - q_init(k) )
	2297	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
	2298	!
	2299	!-- Tendencies for the next Runge-Kutta step
	2300	IF ( runge_step == 1 ) THEN
	2301	tq_m(k,j,i) = tend(k,j,i)
	2302	ELSEIF ( runge_step == 2 ) THEN
	2303	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
	2304	ENDIF
	2305	ENDDO
	2306	ENDDO
	2307	ENDDO
	2308
	2309	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2310
	2311	!
	2312	!-- If required, calculate prognostic equations for rain water content
	2313	!-- and rain drop concentration
	2314	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	2315
	2316	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2317	!
	2318	!-- qr-tendency terms with communication
	2319	sbt = tsc(2)
	2320	IF ( scalar_advec == 'bc-scheme' ) THEN
	2321
	2322	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2323	!
	2324	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2325	sbt = 1.0_wp
	2326	ENDIF
	2327	tend = 0.0_wp
	2328	CALL advec_s_bc( qr, 'qr' )
	2329
	2330	ENDIF
	2331
	2332	!
	2333	!-- qr-tendency terms with no communication
	2334	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2335	tend = 0.0_wp
	2336	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2337	IF ( ws_scheme_sca ) THEN
	2338	CALL advec_s_ws( qr, 'qr' )
	2339	ELSE
	2340	CALL advec_s_pw( qr )
	2341	ENDIF
	2342	ELSE
	2343	CALL advec_s_up( qr )
	2344	ENDIF
	2345	ENDIF
	2346
	2347	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2348
	2349	!
	2350	!-- Prognostic equation for rain water content
	2351	DO i = i_left, i_right
	2352	DO j = j_south, j_north
	2353	DO k = nzb_s_inner(j,i)+1, nzt
	2354	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2355	tsc(3) * tqr_m(k,j,i) ) &
	2356	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2357	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2358	!
	2359	!-- Tendencies for the next Runge-Kutta step
	2360	IF ( runge_step == 1 ) THEN
	2361	tqr_m(k,j,i) = tend(k,j,i)
	2362	ELSEIF ( runge_step == 2 ) THEN
	2363	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2364	tqr_m(k,j,i)
	2365	ENDIF
	2366	ENDDO
	2367	ENDDO
	2368	ENDDO
	2369
	2370	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2371	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2372
	2373	!
	2374	!-- nr-tendency terms with communication
	2375	sbt = tsc(2)
	2376	IF ( scalar_advec == 'bc-scheme' ) THEN
	2377
	2378	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2379	!
	2380	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2381	sbt = 1.0_wp
	2382	ENDIF
	2383	tend = 0.0_wp
	2384	CALL advec_s_bc( nr, 'nr' )
	2385
	2386	ENDIF
	2387
	2388	!
	2389	!-- nr-tendency terms with no communication
	2390	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2391	tend = 0.0_wp
	2392	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2393	IF ( ws_scheme_sca ) THEN
	2394	CALL advec_s_ws( nr, 'nr' )
	2395	ELSE
	2396	CALL advec_s_pw( nr )
	2397	ENDIF
	2398	ELSE
	2399	CALL advec_s_up( nr )
	2400	ENDIF
	2401	ENDIF
	2402
	2403	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2404
	2405	!
	2406	!-- Prognostic equation for rain drop concentration
	2407	DO i = i_left, i_right
	2408	DO j = j_south, j_north
	2409	DO k = nzb_s_inner(j,i)+1, nzt
	2410	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2411	tsc(3) * tnr_m(k,j,i) ) &
	2412	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2413	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2414	!
	2415	!-- Tendencies for the next Runge-Kutta step
	2416	IF ( runge_step == 1 ) THEN
	2417	tnr_m(k,j,i) = tend(k,j,i)
	2418	ELSEIF ( runge_step == 2 ) THEN
	2419	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2420	tnr_m(k,j,i)
	2421	ENDIF
	2422	ENDDO
	2423	ENDDO
	2424	ENDDO
	2425
	2426	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2427
	2428	ENDIF
	2429
	2430	ENDIF
	2431
	2432	!
	2433	!-- If required, compute prognostic equation for turbulent kinetic
	2434	!-- energy (TKE)
	2435	IF ( .NOT. constant_diffusion ) THEN
	2436
	2437	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2438
	2439	sbt = tsc(2)
	2440	IF ( .NOT. use_upstream_for_tke ) THEN
	2441	IF ( scalar_advec == 'bc-scheme' ) THEN
	2442
	2443	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2444	!
	2445	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2446	sbt = 1.0_wp
	2447	ENDIF
	2448	tend = 0.0_wp
	2449	CALL advec_s_bc( e, 'e' )
	2450
	2451	ENDIF
	2452	ENDIF
	2453
	2454	!
	2455	!-- TKE-tendency terms with no communication
	2456	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2457	IF ( use_upstream_for_tke ) THEN
	2458	tend = 0.0_wp
	2459	CALL advec_s_up( e )
	2460	ELSE
	2461	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2462	IF ( ws_scheme_sca ) THEN
	2463	CALL advec_s_ws_acc( e, 'e' )
	2464	ELSE
	2465	tend = 0.0_wp ! to be removed later??
	2466	CALL advec_s_pw( e )
	2467	ENDIF
	2468	ELSE
	2469	tend = 0.0_wp ! to be removed later??
	2470	CALL advec_s_up( e )
	2471	ENDIF
	2472	ENDIF
	2473	ENDIF
	2474
	2475	IF ( .NOT. humidity ) THEN
	2476	IF ( ocean ) THEN
	2477	CALL diffusion_e( prho, prho_reference )
	2478	ELSE
	2479	CALL diffusion_e_acc( pt, pt_reference )
	2480	ENDIF
	2481	ELSE
	2482	CALL diffusion_e( vpt, pt_reference )
	2483	ENDIF
	2484
	2485	CALL production_e_acc
	2486
	2487	!
	2488	!-- Additional sink term for flows through plant canopies
	2489	IF ( plant_canopy ) CALL pcm_tendency( 6 )
	2490	CALL user_actions( 'e-tendency' )
	2491
	2492	!
	2493	!-- Prognostic equation for TKE.
	2494	!-- Eliminate negative TKE values, which can occur due to numerical
	2495	!-- reasons in the course of the integration. In such cases the old TKE
	2496	!-- value is reduced by 90%.
	2497	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
	2498	!$acc loop independent
	2499	DO i = i_left, i_right
	2500	!$acc loop independent
	2501	DO j = j_south, j_north
	2502	!$acc loop independent
	2503	DO k = 1, nzt
	2504	IF ( k > nzb_s_inner(j,i) ) THEN
	2505	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2506	tsc(3) * te_m(k,j,i) )
	2507	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
	2508	!
	2509	!-- Tendencies for the next Runge-Kutta step
	2510	IF ( runge_step == 1 ) THEN
	2511	te_m(k,j,i) = tend(k,j,i)
	2512	ELSEIF ( runge_step == 2 ) THEN
	2513	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
	2514	ENDIF
	2515	ENDIF
	2516	ENDDO
	2517	ENDDO
	2518	ENDDO
	2519	!$acc end kernels
	2520
	2521	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2522
	2523	ENDIF
	2524
	2525	END SUBROUTINE prognostic_equations_acc
	2526
	2527
	2528	END MODULE prognostic_equations_mod

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

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |