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prognostic_equations_mod.f90 @ 1851

Last change on this file since 1851 was 1851, checked in by maronga, 9 years ago
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[1850]	1	!> @file prognostic_equations_mod.f90
[1036]	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	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[736]	19	! Current revisions:
[1092]	20	! ------------------
[1827]	21	!
	22	!
[1485]	23	! Former revisions:
	24	! -----------------
	25	! $Id: prognostic_equations_mod.f90 1851 2016-04-08 13:32:50Z maronga $
	26	!
[1851]	27	! 1850 2016-04-08 13:29:27Z maronga
	28	! Module renamed
	29	!
	30	!
[1827]	31	! 1826 2016-04-07 12:01:39Z maronga
	32	! Renamed canopy model calls.
	33	!
[1823]	34	! 1822 2016-04-07 07:49:42Z hoffmann
	35	! Kessler microphysics scheme moved to microphysics.
	36	!
[1822]	37	! 1757 2016-02-22 15:49:32Z maronga
[1758]	38	!
	39	!
[1757]	40	! 1691 2015-10-26 16:17:44Z maronga
[1692]	41	! Added optional model spin-up without radiation / land surface model calls.
	42	! Formatting corrections.
	43	!
[1691]	44	! 1682 2015-10-07 23:56:08Z knoop
	45	! Code annotations made doxygen readable
	46	!
	47	! 1585 2015-04-30 07:05:52Z maronga
[1586]	48	! Added call for temperature tendency calculation due to radiative flux divergence
	49	!
[1518]	50	! 1517 2015-01-07 19:12:25Z hoffmann
	51	! advec_s_bc_mod addded, since advec_s_bc is now a module
	52	!
[1517]	53	! 1496 2014-12-02 17:25:50Z maronga
[1497]	54	! Renamed "radiation" -> "cloud_top_radiation"
	55	!
[1496]	56	! 1484 2014-10-21 10:53:05Z kanani
[1484]	57	! Changes due to new module structure of the plant canopy model:
	58	! parameters cthf and plant_canopy moved to module plant_canopy_model_mod.
	59	! Removed double-listing of use_upstream_for_tke in ONLY-list of module
	60	! control_parameters
	61	!
	62	! 1409 2014-05-23 12:11:32Z suehring
[1409]	63	! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary.
	64	! This ensures that left-hand side fluxes are also calculated for nxl in that
	65	! case, even though the solution at nxl is overwritten in boundary_conds()
	66	!
	67	! 1398 2014-05-07 11:15:00Z heinze
[1398]	68	! Rayleigh-damping for horizontal velocity components changed: instead of damping
	69	! against ug and vg, damping against u_init and v_init is used to allow for a
	70	! homogenized treatment in case of nudging
	71	!
	72	! 1380 2014-04-28 12:40:45Z heinze
[1381]	73	! Change order of calls for scalar prognostic quantities:
	74	! ls_advec -> nudging -> subsidence since initial profiles
	75	!
[1380]	76	! 1374 2014-04-25 12:55:07Z raasch
	77	! missing variables added to ONLY lists
	78	!
	79	! 1365 2014-04-22 15:03:56Z boeske
[1365]	80	! Calls of ls_advec for large scale advection added,
	81	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	82	! new argument ls_index added to the calls of subsidence
	83	! +ls_index
	84	!
	85	! 1361 2014-04-16 15:17:48Z hoffmann
[1361]	86	! Two-moment microphysics moved to the start of prognostic equations. This makes
	87	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	88	! Additionally, it is allowed to call the microphysics just once during the time
	89	! step (not at each sub-time step).
	90	!
	91	! Two-moment cloud physics added for vector and accelerator optimization.
	92	!
	93	! 1353 2014-04-08 15:21:23Z heinze
[1354]	94	! REAL constants provided with KIND-attribute
	95	!
[1353]	96	! 1337 2014-03-25 15:11:48Z heinze
	97	! Bugfix: REAL constants provided with KIND-attribute
	98	!
	99	! 1332 2014-03-25 11:59:43Z suehring
[1333]	100	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	101	!
[1332]	102	! 1330 2014-03-24 17:29:32Z suehring
[1331]	103	! In case of SGS-particle velocity advection of TKE is also allowed with
	104	! dissipative 5th-order scheme.
	105	!
[1321]	106	! 1320 2014-03-20 08:40:49Z raasch
[1320]	107	! ONLY-attribute added to USE-statements,
	108	! kind-parameters added to all INTEGER and REAL declaration statements,
	109	! kinds are defined in new module kinds,
	110	! old module precision_kind is removed,
	111	! revision history before 2012 removed,
	112	! comment fields (!:) to be used for variable explanations added to
	113	! all variable declaration statements
[1054]	114	!
[1319]	115	! 1318 2014-03-17 13:35:16Z raasch
	116	! module interfaces removed
	117	!
[1258]	118	! 1257 2013-11-08 15:18:40Z raasch
	119	! openacc loop vector clauses removed, independent clauses added
	120	!
[1247]	121	! 1246 2013-11-01 08:59:45Z heinze
	122	! enable nudging also for accelerator version
	123	!
[1242]	124	! 1241 2013-10-30 11:36:58Z heinze
	125	! usage of nudging enabled (so far not implemented for accelerator version)
	126	!
[1182]	127	! 1179 2013-06-14 05:57:58Z raasch
	128	! two arguments removed from routine buoyancy, ref_state updated on device
	129	!
[1132]	130	! 1128 2013-04-12 06:19:32Z raasch
	131	! those parts requiring global communication moved to time_integration,
	132	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	133	! j_north
	134	!
[1116]	135	! 1115 2013-03-26 18:16:16Z hoffmann
	136	! optimized cloud physics: calculation of microphysical tendencies transfered
	137	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	138	!
[1112]	139	! 1111 2013-03-08 23:54:10Z raasch
	140	! update directives for prognostic quantities removed
	141	!
[1107]	142	! 1106 2013-03-04 05:31:38Z raasch
	143	! small changes in code formatting
	144	!
[1093]	145	! 1092 2013-02-02 11:24:22Z raasch
	146	! unused variables removed
	147	!
[1054]	148	! 1053 2012-11-13 17:11:03Z hoffmann
[1053]	149	! implementation of two new prognostic equations for rain drop concentration (nr)
	150	! and rain water content (qr)
[979]	151	!
[1053]	152	! currently, only available for cache loop optimization
[1020]	153	!
[1037]	154	! 1036 2012-10-22 13:43:42Z raasch
	155	! code put under GPL (PALM 3.9)
	156	!
[1020]	157	! 1019 2012-09-28 06:46:45Z raasch
	158	! non-optimized version of prognostic_equations removed
	159	!
[1017]	160	! 1015 2012-09-27 09:23:24Z raasch
	161	! new branch prognostic_equations_acc
	162	! OpenACC statements added + code changes required for GPU optimization
	163	!
[1002]	164	! 1001 2012-09-13 14:08:46Z raasch
	165	! all actions concerning leapfrog- and upstream-spline-scheme removed
	166	!
[979]	167	! 978 2012-08-09 08:28:32Z fricke
[978]	168	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	169	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	170	! boundary in case of non-cyclic lateral boundaries
	171	! Bugfix: first thread index changes for WS-scheme at the inflow
[736]	172	!
[941]	173	! 940 2012-07-09 14:31:00Z raasch
	174	! temperature equation can be switched off
	175	!
[736]	176	! Revision 1.1 2000/04/13 14:56:27 schroeter
	177	! Initial revision
	178	!
	179	!
	180	! Description:
	181	! ------------
[1682]	182	!> Solving the prognostic equations.
[736]	183	!------------------------------------------------------------------------------!
[1682]	184	MODULE prognostic_equations_mod
[736]	185
[1691]	186
[1682]	187
[1320]	188	USE arrays_3d, &
	189	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	190	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	191	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	192	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	193	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	194	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
[1374]	195	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	196	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	197	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
[1398]	198	tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
[1320]	199
	200	USE control_parameters, &
[1361]	201	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
[1822]	202	cloud_top_radiation, constant_diffusion, dp_external, &
[1320]	203	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
[1822]	204	inflow_l, intermediate_timestep_count, &
[1365]	205	intermediate_timestep_count_max, large_scale_forcing, &
[1822]	206	large_scale_subsidence, microphysics_seifert, &
	207	microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, &
	208	outflow_s, passive_scalar, prho_reference, prho_reference, &
	209	prho_reference, pt_reference, pt_reference, pt_reference, &
	210	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
[1496]	211	timestep_scheme, tsc, use_subsidence_tendencies, &
	212	use_upstream_for_tke, wall_heatflux, &
[1320]	213	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	214	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
[736]	215
[1320]	216	USE cpulog, &
	217	ONLY: cpu_log, log_point
[736]	218
[1320]	219	USE eqn_state_seawater_mod, &
	220	ONLY: eqn_state_seawater
	221
	222	USE indices, &
	223	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	224	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	225
	226	USE advec_ws, &
	227	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	228	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	229
[1517]	230	USE advec_s_bc_mod, &
	231	ONLY: advec_s_bc
	232
[1320]	233	USE advec_s_pw_mod, &
	234	ONLY: advec_s_pw
	235
	236	USE advec_s_up_mod, &
	237	ONLY: advec_s_up
	238
	239	USE advec_u_pw_mod, &
	240	ONLY: advec_u_pw
	241
	242	USE advec_u_up_mod, &
	243	ONLY: advec_u_up
	244
	245	USE advec_v_pw_mod, &
	246	ONLY: advec_v_pw
	247
	248	USE advec_v_up_mod, &
	249	ONLY: advec_v_up
	250
	251	USE advec_w_pw_mod, &
	252	ONLY: advec_w_pw
	253
	254	USE advec_w_up_mod, &
	255	ONLY: advec_w_up
	256
	257	USE buoyancy_mod, &
	258	ONLY: buoyancy, buoyancy_acc
	259
	260	USE calc_radiation_mod, &
	261	ONLY: calc_radiation
	262
	263	USE coriolis_mod, &
	264	ONLY: coriolis, coriolis_acc
	265
	266	USE diffusion_e_mod, &
	267	ONLY: diffusion_e, diffusion_e_acc
	268
	269	USE diffusion_s_mod, &
	270	ONLY: diffusion_s, diffusion_s_acc
	271
	272	USE diffusion_u_mod, &
	273	ONLY: diffusion_u, diffusion_u_acc
	274
	275	USE diffusion_v_mod, &
	276	ONLY: diffusion_v, diffusion_v_acc
	277
	278	USE diffusion_w_mod, &
	279	ONLY: diffusion_w, diffusion_w_acc
	280
	281	USE kinds
	282
[1365]	283	USE ls_forcing_mod, &
	284	ONLY: ls_advec
	285
[1320]	286	USE microphysics_mod, &
	287	ONLY: microphysics_control
	288
	289	USE nudge_mod, &
	290	ONLY: nudge
	291
	292	USE plant_canopy_model_mod, &
[1826]	293	ONLY: cthf, plant_canopy, pcm_tendency
[1320]	294
	295	USE production_e_mod, &
	296	ONLY: production_e, production_e_acc
	297
[1585]	298	USE radiation_model_mod, &
[1691]	299	ONLY: radiation, radiation_scheme, radiation_tendency, &
	300	skip_time_do_radiation
[1585]	301
[1374]	302	USE statistics, &
	303	ONLY: hom
	304
[1320]	305	USE subsidence_mod, &
	306	ONLY: subsidence
	307
	308	USE user_actions_mod, &
	309	ONLY: user_actions
	310
	311
[736]	312	PRIVATE
[1019]	313	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	314	prognostic_equations_acc
[736]	315
	316	INTERFACE prognostic_equations_cache
	317	MODULE PROCEDURE prognostic_equations_cache
	318	END INTERFACE prognostic_equations_cache
	319
	320	INTERFACE prognostic_equations_vector
	321	MODULE PROCEDURE prognostic_equations_vector
	322	END INTERFACE prognostic_equations_vector
	323
[1015]	324	INTERFACE prognostic_equations_acc
	325	MODULE PROCEDURE prognostic_equations_acc
	326	END INTERFACE prognostic_equations_acc
[736]	327
[1015]	328
[736]	329	CONTAINS
	330
	331
	332	!------------------------------------------------------------------------------!
[1691]	333	! Description:
	334	! ------------
[1682]	335	!> Version with one optimized loop over all equations. It is only allowed to
	336	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	337	!>
	338	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
	339	!> so communication between CPUs is not allowed (does not make sense) within
	340	!> these loops.
	341	!>
	342	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
[736]	343	!------------------------------------------------------------------------------!
[1691]	344
[1682]	345	SUBROUTINE prognostic_equations_cache
[736]	346
[1682]	347
[736]	348	IMPLICIT NONE
	349
[1682]	350	INTEGER(iwp) :: i !<
	351	INTEGER(iwp) :: i_omp_start !<
	352	INTEGER(iwp) :: j !<
	353	INTEGER(iwp) :: k !<
	354	INTEGER(iwp) :: omp_get_thread_num !<
	355	INTEGER(iwp) :: tn = 0 !<
[1320]	356
[1682]	357	LOGICAL :: loop_start !<
[736]	358
	359
	360	!
	361	!-- Time measurement can only be performed for the whole set of equations
	362	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	363
	364	!
	365	!-- Loop over all prognostic equations
	366	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	367
	368	!$ tn = omp_get_thread_num()
	369	loop_start = .TRUE.
	370	!$OMP DO
	371	DO i = nxl, nxr
	372
	373	!
	374	!-- Store the first loop index. It differs for each thread and is required
	375	!-- later in advec_ws
	376	IF ( loop_start ) THEN
	377	loop_start = .FALSE.
	378	i_omp_start = i
	379	ENDIF
[1365]	380
[736]	381	DO j = nys, nyn
	382	!
[1822]	383	!-- If required, calculate cloud microphysics
	384	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
[1361]	385	( intermediate_timestep_count == 1 .OR. &
	386	call_microphysics_at_all_substeps ) &
	387	) THEN
	388	CALL microphysics_control( i, j )
	389	ENDIF
	390	!
[736]	391	!-- Tendency terms for u-velocity component
	392	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	393
[1337]	394	tend(:,j,i) = 0.0_wp
[1001]	395	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	396	IF ( ws_scheme_mom ) THEN
[1409]	397	CALL advec_u_ws( i, j, i_omp_start, tn )
[736]	398	ELSE
	399	CALL advec_u_pw( i, j )
	400	ENDIF
	401	ELSE
	402	CALL advec_u_up( i, j )
	403	ENDIF
[1001]	404	CALL diffusion_u( i, j )
[736]	405	CALL coriolis( i, j, 1 )
[940]	406	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	407	CALL buoyancy( i, j, pt, 1 )
[940]	408	ENDIF
[736]	409
	410	!
	411	!-- Drag by plant canopy
[1826]	412	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
[736]	413
	414	!
	415	!-- External pressure gradient
	416	IF ( dp_external ) THEN
	417	DO k = dp_level_ind_b+1, nzt
	418	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	419	ENDDO
	420	ENDIF
	421
[1241]	422	!
	423	!-- Nudging
[1691]	424	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
[1241]	425
[736]	426	CALL user_actions( i, j, 'u-tendency' )
	427	!
	428	!-- Prognostic equation for u-velocity component
	429	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	430	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	431	tsc(3) * tu_m(k,j,i) ) &
[1398]	432	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[736]	433	ENDDO
	434
	435	!
	436	!-- Calculate tendencies for the next Runge-Kutta step
	437	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	438	IF ( intermediate_timestep_count == 1 ) THEN
	439	DO k = nzb_u_inner(j,i)+1, nzt
	440	tu_m(k,j,i) = tend(k,j,i)
	441	ENDDO
	442	ELSEIF ( intermediate_timestep_count < &
	443	intermediate_timestep_count_max ) THEN
	444	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	445	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	446	ENDDO
	447	ENDIF
	448	ENDIF
	449
	450	ENDIF
	451
	452	!
	453	!-- Tendency terms for v-velocity component
	454	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	455
[1337]	456	tend(:,j,i) = 0.0_wp
[1001]	457	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	458	IF ( ws_scheme_mom ) THEN
	459	CALL advec_v_ws( i, j, i_omp_start, tn )
	460	ELSE
	461	CALL advec_v_pw( i, j )
	462	ENDIF
	463	ELSE
	464	CALL advec_v_up( i, j )
	465	ENDIF
[1001]	466	CALL diffusion_v( i, j )
[736]	467	CALL coriolis( i, j, 2 )
	468
	469	!
	470	!-- Drag by plant canopy
[1826]	471	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
[736]	472
	473	!
	474	!-- External pressure gradient
	475	IF ( dp_external ) THEN
	476	DO k = dp_level_ind_b+1, nzt
	477	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	478	ENDDO
	479	ENDIF
	480
[1241]	481	!
	482	!-- Nudging
[1691]	483	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
[1241]	484
[736]	485	CALL user_actions( i, j, 'v-tendency' )
	486	!
	487	!-- Prognostic equation for v-velocity component
	488	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	489	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	490	tsc(3) * tv_m(k,j,i) ) &
[1398]	491	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[736]	492	ENDDO
	493
	494	!
	495	!-- Calculate tendencies for the next Runge-Kutta step
	496	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	497	IF ( intermediate_timestep_count == 1 ) THEN
	498	DO k = nzb_v_inner(j,i)+1, nzt
	499	tv_m(k,j,i) = tend(k,j,i)
	500	ENDDO
	501	ELSEIF ( intermediate_timestep_count < &
	502	intermediate_timestep_count_max ) THEN
	503	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	504	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	505	ENDDO
	506	ENDIF
	507	ENDIF
	508
	509	ENDIF
	510
	511	!
	512	!-- Tendency terms for w-velocity component
[1337]	513	tend(:,j,i) = 0.0_wp
[1001]	514	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	515	IF ( ws_scheme_mom ) THEN
	516	CALL advec_w_ws( i, j, i_omp_start, tn )
	517	ELSE
	518	CALL advec_w_pw( i, j )
	519	END IF
	520	ELSE
	521	CALL advec_w_up( i, j )
	522	ENDIF
[1001]	523	CALL diffusion_w( i, j )
[736]	524	CALL coriolis( i, j, 3 )
[940]	525
	526	IF ( .NOT. neutral ) THEN
	527	IF ( ocean ) THEN
[1179]	528	CALL buoyancy( i, j, rho, 3 )
[736]	529	ELSE
[940]	530	IF ( .NOT. humidity ) THEN
[1179]	531	CALL buoyancy( i, j, pt, 3 )
[940]	532	ELSE
[1179]	533	CALL buoyancy( i, j, vpt, 3 )
[940]	534	ENDIF
[736]	535	ENDIF
	536	ENDIF
	537
	538	!
	539	!-- Drag by plant canopy
[1826]	540	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
[736]	541
	542	CALL user_actions( i, j, 'w-tendency' )
	543
	544	!
	545	!-- Prognostic equation for w-velocity component
	546	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	547	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	548	tsc(3) * tw_m(k,j,i) ) &
	549	- tsc(5) * rdf(k) * w(k,j,i)
[736]	550	ENDDO
	551
	552	!
	553	!-- Calculate tendencies for the next Runge-Kutta step
	554	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	555	IF ( intermediate_timestep_count == 1 ) THEN
	556	DO k = nzb_w_inner(j,i)+1, nzt-1
	557	tw_m(k,j,i) = tend(k,j,i)
	558	ENDDO
	559	ELSEIF ( intermediate_timestep_count < &
	560	intermediate_timestep_count_max ) THEN
	561	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	562	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	563	ENDDO
	564	ENDIF
	565	ENDIF
[1361]	566
[736]	567	!
[940]	568	!-- If required, compute prognostic equation for potential temperature
	569	IF ( .NOT. neutral ) THEN
	570	!
	571	!-- Tendency terms for potential temperature
[1337]	572	tend(:,j,i) = 0.0_wp
[1001]	573	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	574	IF ( ws_scheme_sca ) THEN
	575	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	576	flux_l_pt, diss_l_pt, i_omp_start, tn )
	577	ELSE
	578	CALL advec_s_pw( i, j, pt )
	579	ENDIF
	580	ELSE
	581	CALL advec_s_up( i, j, pt )
	582	ENDIF
[1001]	583	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
[736]	584
	585	!
[940]	586	!-- If required compute heating/cooling due to long wave radiation
	587	!-- processes
[1496]	588	IF ( cloud_top_radiation ) THEN
[940]	589	CALL calc_radiation( i, j )
	590	ENDIF
[736]	591
[1106]	592	!
[940]	593	!-- Consideration of heat sources within the plant canopy
[1337]	594	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
[1826]	595	CALL pcm_tendency( i, j, 4 )
[940]	596	ENDIF
[736]	597
[940]	598	!
[1365]	599	!-- Large scale advection
	600	IF ( large_scale_forcing ) THEN
	601	CALL ls_advec( i, j, simulated_time, 'pt' )
	602	ENDIF
	603
	604	!
[1380]	605	!-- Nudging
	606	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	607
	608	!
[1106]	609	!-- If required, compute effect of large-scale subsidence/ascent
[1365]	610	IF ( large_scale_subsidence .AND. &
	611	.NOT. use_subsidence_tendencies ) THEN
	612	CALL subsidence( i, j, tend, pt, pt_init, 2 )
[940]	613	ENDIF
[736]	614
[1585]	615	!
	616	!-- If required, add tendency due to radiative heating/cooling
[1691]	617	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	618	simulated_time > skip_time_do_radiation ) THEN
[1585]	619	CALL radiation_tendency ( i, j, tend )
	620	ENDIF
	621
	622
[940]	623	CALL user_actions( i, j, 'pt-tendency' )
[736]	624
	625	!
[940]	626	!-- Prognostic equation for potential temperature
	627	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	628	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	629	tsc(3) * tpt_m(k,j,i) ) &
	630	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	631	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	632	ENDDO
[736]	633
	634	!
[940]	635	!-- Calculate tendencies for the next Runge-Kutta step
	636	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	637	IF ( intermediate_timestep_count == 1 ) THEN
	638	DO k = nzb_s_inner(j,i)+1, nzt
	639	tpt_m(k,j,i) = tend(k,j,i)
	640	ENDDO
	641	ELSEIF ( intermediate_timestep_count < &
	642	intermediate_timestep_count_max ) THEN
	643	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	644	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	645	5.3125_wp * tpt_m(k,j,i)
[940]	646	ENDDO
	647	ENDIF
[736]	648	ENDIF
[940]	649
[736]	650	ENDIF
	651
	652	!
	653	!-- If required, compute prognostic equation for salinity
	654	IF ( ocean ) THEN
	655
	656	!
	657	!-- Tendency-terms for salinity
[1337]	658	tend(:,j,i) = 0.0_wp
[1001]	659	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	660	THEN
	661	IF ( ws_scheme_sca ) THEN
	662	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	663	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	664	ELSE
	665	CALL advec_s_pw( i, j, sa )
	666	ENDIF
	667	ELSE
	668	CALL advec_s_up( i, j, sa )
	669	ENDIF
[1001]	670	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
[736]	671
	672	CALL user_actions( i, j, 'sa-tendency' )
	673
	674	!
	675	!-- Prognostic equation for salinity
	676	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	677	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	678	tsc(3) * tsa_m(k,j,i) ) &
	679	- tsc(5) * rdf_sc(k) * &
	680	( sa(k,j,i) - sa_init(k) )
[1337]	681	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	682	ENDDO
	683
	684	!
	685	!-- Calculate tendencies for the next Runge-Kutta step
	686	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	687	IF ( intermediate_timestep_count == 1 ) THEN
	688	DO k = nzb_s_inner(j,i)+1, nzt
	689	tsa_m(k,j,i) = tend(k,j,i)
	690	ENDDO
	691	ELSEIF ( intermediate_timestep_count < &
	692	intermediate_timestep_count_max ) THEN
	693	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	694	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	695	5.3125_wp * tsa_m(k,j,i)
[736]	696	ENDDO
	697	ENDIF
	698	ENDIF
	699
	700	!
	701	!-- Calculate density by the equation of state for seawater
	702	CALL eqn_state_seawater( i, j )
	703
	704	ENDIF
	705
	706	!
	707	!-- If required, compute prognostic equation for total water content /
	708	!-- scalar
	709	IF ( humidity .OR. passive_scalar ) THEN
	710
	711	!
	712	!-- Tendency-terms for total water content / scalar
[1337]	713	tend(:,j,i) = 0.0_wp
[1001]	714	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	715	THEN
	716	IF ( ws_scheme_sca ) THEN
	717	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
	718	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	719	ELSE
	720	CALL advec_s_pw( i, j, q )
	721	ENDIF
	722	ELSE
	723	CALL advec_s_up( i, j, q )
	724	ENDIF
[1001]	725	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
[1691]	726
[736]	727	!
	728	!-- Sink or source of scalar concentration due to canopy elements
[1826]	729	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
[736]	730
[1053]	731	!
[1365]	732	!-- Large scale advection
	733	IF ( large_scale_forcing ) THEN
	734	CALL ls_advec( i, j, simulated_time, 'q' )
	735	ENDIF
	736
	737	!
[1380]	738	!-- Nudging
	739	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	740
	741	!
[736]	742	!-- If required compute influence of large-scale subsidence/ascent
[1365]	743	IF ( large_scale_subsidence .AND. &
	744	.NOT. use_subsidence_tendencies ) THEN
	745	CALL subsidence( i, j, tend, q, q_init, 3 )
[736]	746	ENDIF
	747
	748	CALL user_actions( i, j, 'q-tendency' )
	749
	750	!
	751	!-- Prognostic equation for total water content / scalar
	752	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	753	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	754	tsc(3) * tq_m(k,j,i) ) &
	755	- tsc(5) * rdf_sc(k) * &
	756	( q(k,j,i) - q_init(k) )
[1337]	757	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	758	ENDDO
	759
	760	!
	761	!-- Calculate tendencies for the next Runge-Kutta step
	762	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	763	IF ( intermediate_timestep_count == 1 ) THEN
	764	DO k = nzb_s_inner(j,i)+1, nzt
	765	tq_m(k,j,i) = tend(k,j,i)
	766	ENDDO
	767	ELSEIF ( intermediate_timestep_count < &
	768	intermediate_timestep_count_max ) THEN
	769	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	770	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	771	5.3125_wp * tq_m(k,j,i)
[736]	772	ENDDO
	773	ENDIF
	774	ENDIF
	775
[1053]	776	!
	777	!-- If required, calculate prognostic equations for rain water content
	778	!-- and rain drop concentration
[1822]	779	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1053]	780	!
	781	!-- Calculate prognostic equation for rain water content
[1337]	782	tend(:,j,i) = 0.0_wp
[1053]	783	IF ( timestep_scheme(1:5) == 'runge' ) &
	784	THEN
	785	IF ( ws_scheme_sca ) THEN
	786	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	787	diss_s_qr, flux_l_qr, diss_l_qr, &
	788	i_omp_start, tn )
	789	ELSE
	790	CALL advec_s_pw( i, j, qr )
	791	ENDIF
	792	ELSE
	793	CALL advec_s_up( i, j, qr )
	794	ENDIF
	795	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	796
	797	!
	798	!-- Prognostic equation for rain water content
	799	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	800	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	801	tsc(3) * tqr_m(k,j,i) ) &
	802	- tsc(5) * rdf_sc(k) * qr(k,j,i)
[1337]	803	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
[1053]	804	ENDDO
	805	!
	806	!-- Calculate tendencies for the next Runge-Kutta step
	807	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	808	IF ( intermediate_timestep_count == 1 ) THEN
	809	DO k = nzb_s_inner(j,i)+1, nzt
	810	tqr_m(k,j,i) = tend(k,j,i)
	811	ENDDO
	812	ELSEIF ( intermediate_timestep_count < &
	813	intermediate_timestep_count_max ) THEN
	814	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	815	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	816	5.3125_wp * tqr_m(k,j,i)
[1053]	817	ENDDO
	818	ENDIF
	819	ENDIF
	820
	821	!
	822	!-- Calculate prognostic equation for rain drop concentration.
[1337]	823	tend(:,j,i) = 0.0_wp
[1053]	824	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	825	IF ( ws_scheme_sca ) THEN
[1115]	826	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	827	diss_s_nr, flux_l_nr, diss_l_nr, &
	828	i_omp_start, tn )
[1053]	829	ELSE
	830	CALL advec_s_pw( i, j, nr )
	831	ENDIF
	832	ELSE
	833	CALL advec_s_up( i, j, nr )
	834	ENDIF
	835	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	836
	837	!
	838	!-- Prognostic equation for rain drop concentration
	839	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	840	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	841	tsc(3) * tnr_m(k,j,i) ) &
	842	- tsc(5) * rdf_sc(k) * nr(k,j,i)
[1337]	843	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
[1053]	844	ENDDO
	845	!
	846	!-- Calculate tendencies for the next Runge-Kutta step
	847	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	848	IF ( intermediate_timestep_count == 1 ) THEN
	849	DO k = nzb_s_inner(j,i)+1, nzt
	850	tnr_m(k,j,i) = tend(k,j,i)
	851	ENDDO
	852	ELSEIF ( intermediate_timestep_count < &
	853	intermediate_timestep_count_max ) THEN
	854	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	855	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	856	5.3125_wp * tnr_m(k,j,i)
[1053]	857	ENDDO
	858	ENDIF
	859	ENDIF
	860
	861	ENDIF
	862
[1128]	863	ENDIF
	864
[736]	865	!
	866	!-- If required, compute prognostic equation for turbulent kinetic
	867	!-- energy (TKE)
	868	IF ( .NOT. constant_diffusion ) THEN
	869
	870	!
	871	!-- Tendency-terms for TKE
[1337]	872	tend(:,j,i) = 0.0_wp
[1332]	873	IF ( timestep_scheme(1:5) == 'runge' &
	874	.AND. .NOT. use_upstream_for_tke ) THEN
[736]	875	IF ( ws_scheme_sca ) THEN
[1001]	876	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	877	flux_l_e, diss_l_e , i_omp_start, tn )
[736]	878	ELSE
	879	CALL advec_s_pw( i, j, e )
	880	ENDIF
	881	ELSE
	882	CALL advec_s_up( i, j, e )
	883	ENDIF
[1001]	884	IF ( .NOT. humidity ) THEN
	885	IF ( ocean ) THEN
	886	CALL diffusion_e( i, j, prho, prho_reference )
[736]	887	ELSE
[1001]	888	CALL diffusion_e( i, j, pt, pt_reference )
[736]	889	ENDIF
	890	ELSE
[1001]	891	CALL diffusion_e( i, j, vpt, pt_reference )
[736]	892	ENDIF
	893	CALL production_e( i, j )
	894
	895	!
	896	!-- Additional sink term for flows through plant canopies
[1826]	897	IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 )
[736]	898
	899	CALL user_actions( i, j, 'e-tendency' )
	900
	901	!
	902	!-- Prognostic equation for TKE.
	903	!-- Eliminate negative TKE values, which can occur due to numerical
	904	!-- reasons in the course of the integration. In such cases the old
	905	!-- TKE value is reduced by 90%.
	906	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	907	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	908	tsc(3) * te_m(k,j,i) )
[1337]	909	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	910	ENDDO
	911
	912	!
	913	!-- Calculate tendencies for the next Runge-Kutta step
	914	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	915	IF ( intermediate_timestep_count == 1 ) THEN
	916	DO k = nzb_s_inner(j,i)+1, nzt
	917	te_m(k,j,i) = tend(k,j,i)
	918	ENDDO
	919	ELSEIF ( intermediate_timestep_count < &
	920	intermediate_timestep_count_max ) THEN
	921	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	922	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	923	5.3125_wp * te_m(k,j,i)
[736]	924	ENDDO
	925	ENDIF
	926	ENDIF
	927
	928	ENDIF ! TKE equation
	929
	930	ENDDO
	931	ENDDO
	932	!$OMP END PARALLEL
	933
	934	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	935
	936
	937	END SUBROUTINE prognostic_equations_cache
	938
	939
	940	!------------------------------------------------------------------------------!
[1691]	941	! Description:
	942	! ------------
[1682]	943	!> Version for vector machines
[736]	944	!------------------------------------------------------------------------------!
[1691]	945
[1682]	946	SUBROUTINE prognostic_equations_vector
[736]	947
[1682]	948
[736]	949	IMPLICIT NONE
	950
[1682]	951	INTEGER(iwp) :: i !<
	952	INTEGER(iwp) :: j !<
	953	INTEGER(iwp) :: k !<
[736]	954
[1682]	955	REAL(wp) :: sbt !<
[736]	956
[1320]	957
[736]	958	!
[1822]	959	!-- If required, calculate cloud microphysical impacts
	960	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
[1361]	961	( intermediate_timestep_count == 1 .OR. &
	962	call_microphysics_at_all_substeps ) &
	963	) THEN
	964	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	965	CALL microphysics_control
	966	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	967	ENDIF
	968
	969	!
[736]	970	!-- u-velocity component
	971	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	972
[1337]	973	tend = 0.0_wp
[1001]	974	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	975	IF ( ws_scheme_mom ) THEN
	976	CALL advec_u_ws
	977	ELSE
	978	CALL advec_u_pw
	979	ENDIF
	980	ELSE
[1001]	981	CALL advec_u_up
[736]	982	ENDIF
[1001]	983	CALL diffusion_u
[736]	984	CALL coriolis( 1 )
[940]	985	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	986	CALL buoyancy( pt, 1 )
[940]	987	ENDIF
[736]	988
	989	!
	990	!-- Drag by plant canopy
[1826]	991	IF ( plant_canopy ) CALL pcm_tendency( 1 )
[736]	992
	993	!
	994	!-- External pressure gradient
	995	IF ( dp_external ) THEN
	996	DO i = nxlu, nxr
	997	DO j = nys, nyn
	998	DO k = dp_level_ind_b+1, nzt
	999	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1000	ENDDO
	1001	ENDDO
	1002	ENDDO
	1003	ENDIF
	1004
[1241]	1005	!
	1006	!-- Nudging
[1691]	1007	IF ( nudging ) CALL nudge( simulated_time, 'u' )
[1241]	1008
[736]	1009	CALL user_actions( 'u-tendency' )
	1010
	1011	!
	1012	!-- Prognostic equation for u-velocity component
	1013	DO i = nxlu, nxr
	1014	DO j = nys, nyn
	1015	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	1016	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1017	tsc(3) * tu_m(k,j,i) ) &
[1398]	1018	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[736]	1019	ENDDO
	1020	ENDDO
	1021	ENDDO
	1022
	1023	!
	1024	!-- Calculate tendencies for the next Runge-Kutta step
	1025	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1026	IF ( intermediate_timestep_count == 1 ) THEN
	1027	DO i = nxlu, nxr
	1028	DO j = nys, nyn
	1029	DO k = nzb_u_inner(j,i)+1, nzt
	1030	tu_m(k,j,i) = tend(k,j,i)
	1031	ENDDO
	1032	ENDDO
	1033	ENDDO
	1034	ELSEIF ( intermediate_timestep_count < &
	1035	intermediate_timestep_count_max ) THEN
	1036	DO i = nxlu, nxr
	1037	DO j = nys, nyn
	1038	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	1039	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	1040	ENDDO
	1041	ENDDO
	1042	ENDDO
	1043	ENDIF
	1044	ENDIF
	1045
	1046	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1047
	1048	!
	1049	!-- v-velocity component
	1050	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1051
[1337]	1052	tend = 0.0_wp
[1001]	1053	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1054	IF ( ws_scheme_mom ) THEN
	1055	CALL advec_v_ws
	1056	ELSE
	1057	CALL advec_v_pw
	1058	END IF
	1059	ELSE
[1001]	1060	CALL advec_v_up
[736]	1061	ENDIF
[1001]	1062	CALL diffusion_v
[736]	1063	CALL coriolis( 2 )
	1064
	1065	!
	1066	!-- Drag by plant canopy
[1826]	1067	IF ( plant_canopy ) CALL pcm_tendency( 2 )
[736]	1068
	1069	!
	1070	!-- External pressure gradient
	1071	IF ( dp_external ) THEN
	1072	DO i = nxl, nxr
	1073	DO j = nysv, nyn
	1074	DO k = dp_level_ind_b+1, nzt
	1075	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1076	ENDDO
	1077	ENDDO
	1078	ENDDO
	1079	ENDIF
	1080
[1241]	1081	!
	1082	!-- Nudging
[1691]	1083	IF ( nudging ) CALL nudge( simulated_time, 'v' )
[1241]	1084
[736]	1085	CALL user_actions( 'v-tendency' )
	1086
	1087	!
	1088	!-- Prognostic equation for v-velocity component
	1089	DO i = nxl, nxr
	1090	DO j = nysv, nyn
	1091	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	1092	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1093	tsc(3) * tv_m(k,j,i) ) &
[1398]	1094	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[736]	1095	ENDDO
	1096	ENDDO
	1097	ENDDO
	1098
	1099	!
	1100	!-- Calculate tendencies for the next Runge-Kutta step
	1101	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1102	IF ( intermediate_timestep_count == 1 ) THEN
	1103	DO i = nxl, nxr
	1104	DO j = nysv, nyn
	1105	DO k = nzb_v_inner(j,i)+1, nzt
	1106	tv_m(k,j,i) = tend(k,j,i)
	1107	ENDDO
	1108	ENDDO
	1109	ENDDO
	1110	ELSEIF ( intermediate_timestep_count < &
	1111	intermediate_timestep_count_max ) THEN
	1112	DO i = nxl, nxr
	1113	DO j = nysv, nyn
	1114	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	1115	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	1116	ENDDO
	1117	ENDDO
	1118	ENDDO
	1119	ENDIF
	1120	ENDIF
	1121
	1122	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1123
	1124	!
	1125	!-- w-velocity component
	1126	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1127
[1353]	1128	tend = 0.0_wp
[1001]	1129	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1130	IF ( ws_scheme_mom ) THEN
	1131	CALL advec_w_ws
	1132	ELSE
	1133	CALL advec_w_pw
	1134	ENDIF
	1135	ELSE
[1001]	1136	CALL advec_w_up
[736]	1137	ENDIF
[1001]	1138	CALL diffusion_w
[736]	1139	CALL coriolis( 3 )
[940]	1140
	1141	IF ( .NOT. neutral ) THEN
	1142	IF ( ocean ) THEN
[1179]	1143	CALL buoyancy( rho, 3 )
[736]	1144	ELSE
[940]	1145	IF ( .NOT. humidity ) THEN
[1179]	1146	CALL buoyancy( pt, 3 )
[940]	1147	ELSE
[1179]	1148	CALL buoyancy( vpt, 3 )
[940]	1149	ENDIF
[736]	1150	ENDIF
	1151	ENDIF
	1152
	1153	!
	1154	!-- Drag by plant canopy
[1826]	1155	IF ( plant_canopy ) CALL pcm_tendency( 3 )
[736]	1156
	1157	CALL user_actions( 'w-tendency' )
	1158
	1159	!
	1160	!-- Prognostic equation for w-velocity component
	1161	DO i = nxl, nxr
	1162	DO j = nys, nyn
	1163	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	1164	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1165	tsc(3) * tw_m(k,j,i) ) &
	1166	- tsc(5) * rdf(k) * w(k,j,i)
[736]	1167	ENDDO
	1168	ENDDO
	1169	ENDDO
	1170
	1171	!
	1172	!-- Calculate tendencies for the next Runge-Kutta step
	1173	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1174	IF ( intermediate_timestep_count == 1 ) THEN
	1175	DO i = nxl, nxr
	1176	DO j = nys, nyn
	1177	DO k = nzb_w_inner(j,i)+1, nzt-1
	1178	tw_m(k,j,i) = tend(k,j,i)
	1179	ENDDO
	1180	ENDDO
	1181	ENDDO
	1182	ELSEIF ( intermediate_timestep_count < &
	1183	intermediate_timestep_count_max ) THEN
	1184	DO i = nxl, nxr
	1185	DO j = nys, nyn
	1186	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	1187	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	1188	ENDDO
	1189	ENDDO
	1190	ENDDO
	1191	ENDIF
	1192	ENDIF
	1193
	1194	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1195
[940]	1196
[736]	1197	!
[940]	1198	!-- If required, compute prognostic equation for potential temperature
	1199	IF ( .NOT. neutral ) THEN
[736]	1200
[940]	1201	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1202
[736]	1203	!
[940]	1204	!-- pt-tendency terms with communication
	1205	sbt = tsc(2)
	1206	IF ( scalar_advec == 'bc-scheme' ) THEN
[736]	1207
[940]	1208	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
[736]	1209	!
[1001]	1210	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1211	sbt = 1.0_wp
[940]	1212	ENDIF
[1337]	1213	tend = 0.0_wp
[940]	1214	CALL advec_s_bc( pt, 'pt' )
[1001]	1215
[736]	1216	ENDIF
[940]	1217
	1218	!
	1219	!-- pt-tendency terms with no communication
[1001]	1220	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1221	tend = 0.0_wp
[1001]	1222	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	1223	IF ( ws_scheme_sca ) THEN
	1224	CALL advec_s_ws( pt, 'pt' )
	1225	ELSE
	1226	CALL advec_s_pw( pt )
	1227	ENDIF
	1228	ELSE
[1001]	1229	CALL advec_s_up( pt )
[940]	1230	ENDIF
[736]	1231	ENDIF
	1232
[1001]	1233	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1234
[736]	1235	!
[940]	1236	!-- If required compute heating/cooling due to long wave radiation processes
[1496]	1237	IF ( cloud_top_radiation ) THEN
[940]	1238	CALL calc_radiation
	1239	ENDIF
[736]	1240
	1241	!
[940]	1242	!-- Consideration of heat sources within the plant canopy
[1337]	1243	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[1826]	1244	CALL pcm_tendency( 4 )
[940]	1245	ENDIF
[736]	1246
[940]	1247	!
[1365]	1248	!-- Large scale advection
	1249	IF ( large_scale_forcing ) THEN
	1250	CALL ls_advec( simulated_time, 'pt' )
	1251	ENDIF
	1252
	1253	!
[1380]	1254	!-- Nudging
	1255	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1256
	1257	!
[940]	1258	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1259	IF ( large_scale_subsidence .AND. &
	1260	.NOT. use_subsidence_tendencies ) THEN
	1261	CALL subsidence( tend, pt, pt_init, 2 )
[940]	1262	ENDIF
[736]	1263
[1585]	1264	!
	1265	!-- If required, add tendency due to radiative heating/cooling
[1691]	1266	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	1267	simulated_time > skip_time_do_radiation ) THEN
	1268	CALL radiation_tendency ( tend )
[1585]	1269	ENDIF
	1270
[940]	1271	CALL user_actions( 'pt-tendency' )
[736]	1272
	1273	!
[940]	1274	!-- Prognostic equation for potential temperature
	1275	DO i = nxl, nxr
	1276	DO j = nys, nyn
	1277	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1278	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1279	tsc(3) * tpt_m(k,j,i) ) &
	1280	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1281	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	1282	ENDDO
[736]	1283	ENDDO
	1284	ENDDO
	1285
	1286	!
[940]	1287	!-- Calculate tendencies for the next Runge-Kutta step
	1288	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1289	IF ( intermediate_timestep_count == 1 ) THEN
	1290	DO i = nxl, nxr
	1291	DO j = nys, nyn
	1292	DO k = nzb_s_inner(j,i)+1, nzt
	1293	tpt_m(k,j,i) = tend(k,j,i)
	1294	ENDDO
[736]	1295	ENDDO
	1296	ENDDO
[940]	1297	ELSEIF ( intermediate_timestep_count < &
	1298	intermediate_timestep_count_max ) THEN
	1299	DO i = nxl, nxr
	1300	DO j = nys, nyn
	1301	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1302	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1303	5.3125_wp * tpt_m(k,j,i)
[940]	1304	ENDDO
[736]	1305	ENDDO
	1306	ENDDO
[940]	1307	ENDIF
[736]	1308	ENDIF
[940]	1309
	1310	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1311
[736]	1312	ENDIF
	1313
	1314	!
	1315	!-- If required, compute prognostic equation for salinity
	1316	IF ( ocean ) THEN
	1317
	1318	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1319
	1320	!
	1321	!-- sa-tendency terms with communication
	1322	sbt = tsc(2)
	1323	IF ( scalar_advec == 'bc-scheme' ) THEN
	1324
	1325	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1326	!
[1001]	1327	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1328	sbt = 1.0_wp
[736]	1329	ENDIF
[1337]	1330	tend = 0.0_wp
[736]	1331	CALL advec_s_bc( sa, 'sa' )
[1001]	1332
[736]	1333	ENDIF
	1334
	1335	!
	1336	!-- sa-tendency terms with no communication
[1001]	1337	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1353]	1338	tend = 0.0_wp
[1001]	1339	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1340	IF ( ws_scheme_sca ) THEN
	1341	CALL advec_s_ws( sa, 'sa' )
	1342	ELSE
	1343	CALL advec_s_pw( sa )
	1344	ENDIF
	1345	ELSE
[1001]	1346	CALL advec_s_up( sa )
[736]	1347	ENDIF
	1348	ENDIF
[1001]	1349
	1350	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[736]	1351
	1352	CALL user_actions( 'sa-tendency' )
	1353
	1354	!
	1355	!-- Prognostic equation for salinity
	1356	DO i = nxl, nxr
	1357	DO j = nys, nyn
	1358	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1359	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1360	tsc(3) * tsa_m(k,j,i) ) &
	1361	- tsc(5) * rdf_sc(k) * &
	1362	( sa(k,j,i) - sa_init(k) )
[1337]	1363	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	1364	ENDDO
	1365	ENDDO
	1366	ENDDO
	1367
	1368	!
	1369	!-- Calculate tendencies for the next Runge-Kutta step
	1370	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1371	IF ( intermediate_timestep_count == 1 ) THEN
	1372	DO i = nxl, nxr
	1373	DO j = nys, nyn
	1374	DO k = nzb_s_inner(j,i)+1, nzt
	1375	tsa_m(k,j,i) = tend(k,j,i)
	1376	ENDDO
	1377	ENDDO
	1378	ENDDO
	1379	ELSEIF ( intermediate_timestep_count < &
	1380	intermediate_timestep_count_max ) THEN
	1381	DO i = nxl, nxr
	1382	DO j = nys, nyn
	1383	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1384	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1385	5.3125_wp * tsa_m(k,j,i)
[736]	1386	ENDDO
	1387	ENDDO
	1388	ENDDO
	1389	ENDIF
	1390	ENDIF
	1391
	1392	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1393
	1394	!
	1395	!-- Calculate density by the equation of state for seawater
	1396	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1397	CALL eqn_state_seawater
	1398	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1399
	1400	ENDIF
	1401
	1402	!
	1403	!-- If required, compute prognostic equation for total water content / scalar
	1404	IF ( humidity .OR. passive_scalar ) THEN
	1405
	1406	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1407
	1408	!
	1409	!-- Scalar/q-tendency terms with communication
	1410	sbt = tsc(2)
	1411	IF ( scalar_advec == 'bc-scheme' ) THEN
	1412
	1413	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1414	!
[1001]	1415	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1416	sbt = 1.0_wp
[736]	1417	ENDIF
[1337]	1418	tend = 0.0_wp
[736]	1419	CALL advec_s_bc( q, 'q' )
[1001]	1420
[736]	1421	ENDIF
	1422
	1423	!
	1424	!-- Scalar/q-tendency terms with no communication
[1001]	1425	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1426	tend = 0.0_wp
[1001]	1427	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1428	IF ( ws_scheme_sca ) THEN
	1429	CALL advec_s_ws( q, 'q' )
	1430	ELSE
	1431	CALL advec_s_pw( q )
	1432	ENDIF
	1433	ELSE
[1001]	1434	CALL advec_s_up( q )
[736]	1435	ENDIF
	1436	ENDIF
[1001]	1437
	1438	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[736]	1439
	1440	!
	1441	!-- Sink or source of scalar concentration due to canopy elements
[1826]	1442	IF ( plant_canopy ) CALL pcm_tendency( 5 )
[1365]	1443
[736]	1444	!
[1365]	1445	!-- Large scale advection
	1446	IF ( large_scale_forcing ) THEN
	1447	CALL ls_advec( simulated_time, 'q' )
	1448	ENDIF
	1449
	1450	!
[1380]	1451	!-- Nudging
	1452	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1453
	1454	!
[736]	1455	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1456	IF ( large_scale_subsidence .AND. &
	1457	.NOT. use_subsidence_tendencies ) THEN
	1458	CALL subsidence( tend, q, q_init, 3 )
[736]	1459	ENDIF
	1460
	1461	CALL user_actions( 'q-tendency' )
	1462
	1463	!
	1464	!-- Prognostic equation for total water content / scalar
	1465	DO i = nxl, nxr
	1466	DO j = nys, nyn
	1467	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1468	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1469	tsc(3) * tq_m(k,j,i) ) &
	1470	- tsc(5) * rdf_sc(k) * &
	1471	( q(k,j,i) - q_init(k) )
[1337]	1472	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	1473	ENDDO
	1474	ENDDO
	1475	ENDDO
	1476
	1477	!
	1478	!-- Calculate tendencies for the next Runge-Kutta step
	1479	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1480	IF ( intermediate_timestep_count == 1 ) THEN
	1481	DO i = nxl, nxr
	1482	DO j = nys, nyn
	1483	DO k = nzb_s_inner(j,i)+1, nzt
	1484	tq_m(k,j,i) = tend(k,j,i)
	1485	ENDDO
	1486	ENDDO
	1487	ENDDO
	1488	ELSEIF ( intermediate_timestep_count < &
	1489	intermediate_timestep_count_max ) THEN
	1490	DO i = nxl, nxr
	1491	DO j = nys, nyn
	1492	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1493	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[736]	1494	ENDDO
	1495	ENDDO
	1496	ENDDO
	1497	ENDIF
	1498	ENDIF
	1499
	1500	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1501
[1361]	1502	!
	1503	!-- If required, calculate prognostic equations for rain water content
	1504	!-- and rain drop concentration
[1822]	1505	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1361]	1506
	1507	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1508
	1509	!
	1510	!-- Calculate prognostic equation for rain water content
	1511	sbt = tsc(2)
	1512	IF ( scalar_advec == 'bc-scheme' ) THEN
	1513
	1514	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1515	!
	1516	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1517	sbt = 1.0_wp
	1518	ENDIF
	1519	tend = 0.0_wp
	1520	CALL advec_s_bc( qr, 'qr' )
	1521
	1522	ENDIF
	1523
	1524	!
	1525	!-- qr-tendency terms with no communication
	1526	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1527	tend = 0.0_wp
	1528	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1529	IF ( ws_scheme_sca ) THEN
	1530	CALL advec_s_ws( qr, 'qr' )
	1531	ELSE
	1532	CALL advec_s_pw( qr )
	1533	ENDIF
	1534	ELSE
	1535	CALL advec_s_up( qr )
	1536	ENDIF
	1537	ENDIF
	1538
	1539	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1540
[1826]	1541	CALL user_actions( 'qr-tendency' )
	1542
[1361]	1543	!
	1544	!-- Prognostic equation for rain water content
	1545	DO i = nxl, nxr
	1546	DO j = nys, nyn
	1547	DO k = nzb_s_inner(j,i)+1, nzt
	1548	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1549	tsc(3) * tqr_m(k,j,i) ) &
	1550	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1551	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1552	ENDDO
	1553	ENDDO
	1554	ENDDO
	1555
	1556	!
	1557	!-- Calculate tendencies for the next Runge-Kutta step
	1558	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1559	IF ( intermediate_timestep_count == 1 ) THEN
	1560	DO i = nxl, nxr
	1561	DO j = nys, nyn
	1562	DO k = nzb_s_inner(j,i)+1, nzt
	1563	tqr_m(k,j,i) = tend(k,j,i)
	1564	ENDDO
	1565	ENDDO
	1566	ENDDO
	1567	ELSEIF ( intermediate_timestep_count < &
	1568	intermediate_timestep_count_max ) THEN
	1569	DO i = nxl, nxr
	1570	DO j = nys, nyn
	1571	DO k = nzb_s_inner(j,i)+1, nzt
	1572	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1573	tqr_m(k,j,i)
	1574	ENDDO
	1575	ENDDO
	1576	ENDDO
	1577	ENDIF
	1578	ENDIF
	1579
	1580	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1581	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1582
	1583	!
	1584	!-- Calculate prognostic equation for rain drop concentration
	1585	sbt = tsc(2)
	1586	IF ( scalar_advec == 'bc-scheme' ) THEN
	1587
	1588	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1589	!
	1590	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1591	sbt = 1.0_wp
	1592	ENDIF
	1593	tend = 0.0_wp
	1594	CALL advec_s_bc( nr, 'nr' )
	1595
	1596	ENDIF
	1597
	1598	!
	1599	!-- nr-tendency terms with no communication
	1600	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1601	tend = 0.0_wp
	1602	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1603	IF ( ws_scheme_sca ) THEN
	1604	CALL advec_s_ws( nr, 'nr' )
	1605	ELSE
	1606	CALL advec_s_pw( nr )
	1607	ENDIF
	1608	ELSE
	1609	CALL advec_s_up( nr )
	1610	ENDIF
	1611	ENDIF
	1612
	1613	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1614
	1615	!
	1616	!-- Prognostic equation for rain drop concentration
	1617	DO i = nxl, nxr
	1618	DO j = nys, nyn
	1619	DO k = nzb_s_inner(j,i)+1, nzt
	1620	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1621	tsc(3) * tnr_m(k,j,i) ) &
	1622	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1623	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1624	ENDDO
	1625	ENDDO
	1626	ENDDO
	1627
	1628	!
	1629	!-- Calculate tendencies for the next Runge-Kutta step
	1630	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1631	IF ( intermediate_timestep_count == 1 ) THEN
	1632	DO i = nxl, nxr
	1633	DO j = nys, nyn
	1634	DO k = nzb_s_inner(j,i)+1, nzt
	1635	tnr_m(k,j,i) = tend(k,j,i)
	1636	ENDDO
	1637	ENDDO
	1638	ENDDO
	1639	ELSEIF ( intermediate_timestep_count < &
	1640	intermediate_timestep_count_max ) THEN
	1641	DO i = nxl, nxr
	1642	DO j = nys, nyn
	1643	DO k = nzb_s_inner(j,i)+1, nzt
	1644	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1645	tnr_m(k,j,i)
	1646	ENDDO
	1647	ENDDO
	1648	ENDDO
	1649	ENDIF
	1650	ENDIF
	1651
	1652	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1653
	1654	ENDIF
	1655
[736]	1656	ENDIF
	1657
	1658	!
	1659	!-- If required, compute prognostic equation for turbulent kinetic
	1660	!-- energy (TKE)
	1661	IF ( .NOT. constant_diffusion ) THEN
	1662
	1663	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1664
	1665	sbt = tsc(2)
	1666	IF ( .NOT. use_upstream_for_tke ) THEN
	1667	IF ( scalar_advec == 'bc-scheme' ) THEN
	1668
	1669	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1670	!
[1001]	1671	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1672	sbt = 1.0_wp
[736]	1673	ENDIF
[1337]	1674	tend = 0.0_wp
[736]	1675	CALL advec_s_bc( e, 'e' )
[1001]	1676
[736]	1677	ENDIF
	1678	ENDIF
	1679
	1680	!
	1681	!-- TKE-tendency terms with no communication
[1001]	1682	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
[736]	1683	IF ( use_upstream_for_tke ) THEN
[1337]	1684	tend = 0.0_wp
[736]	1685	CALL advec_s_up( e )
	1686	ELSE
[1337]	1687	tend = 0.0_wp
[1001]	1688	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1689	IF ( ws_scheme_sca ) THEN
	1690	CALL advec_s_ws( e, 'e' )
	1691	ELSE
	1692	CALL advec_s_pw( e )
	1693	ENDIF
	1694	ELSE
[1001]	1695	CALL advec_s_up( e )
[736]	1696	ENDIF
	1697	ENDIF
[1001]	1698	ENDIF
	1699
	1700	IF ( .NOT. humidity ) THEN
	1701	IF ( ocean ) THEN
	1702	CALL diffusion_e( prho, prho_reference )
[736]	1703	ELSE
[1001]	1704	CALL diffusion_e( pt, pt_reference )
[736]	1705	ENDIF
[1001]	1706	ELSE
	1707	CALL diffusion_e( vpt, pt_reference )
[736]	1708	ENDIF
[1001]	1709
[736]	1710	CALL production_e
	1711
	1712	!
	1713	!-- Additional sink term for flows through plant canopies
[1826]	1714	IF ( plant_canopy ) CALL pcm_tendency( 6 )
[736]	1715	CALL user_actions( 'e-tendency' )
	1716
	1717	!
	1718	!-- Prognostic equation for TKE.
	1719	!-- Eliminate negative TKE values, which can occur due to numerical
	1720	!-- reasons in the course of the integration. In such cases the old TKE
	1721	!-- value is reduced by 90%.
	1722	DO i = nxl, nxr
	1723	DO j = nys, nyn
	1724	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1725	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1726	tsc(3) * te_m(k,j,i) )
[1337]	1727	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	1728	ENDDO
	1729	ENDDO
	1730	ENDDO
	1731
	1732	!
	1733	!-- Calculate tendencies for the next Runge-Kutta step
	1734	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1735	IF ( intermediate_timestep_count == 1 ) THEN
	1736	DO i = nxl, nxr
	1737	DO j = nys, nyn
	1738	DO k = nzb_s_inner(j,i)+1, nzt
	1739	te_m(k,j,i) = tend(k,j,i)
	1740	ENDDO
	1741	ENDDO
	1742	ENDDO
	1743	ELSEIF ( intermediate_timestep_count < &
	1744	intermediate_timestep_count_max ) THEN
	1745	DO i = nxl, nxr
	1746	DO j = nys, nyn
	1747	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1748	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[736]	1749	ENDDO
	1750	ENDDO
	1751	ENDDO
	1752	ENDIF
	1753	ENDIF
	1754
	1755	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1756
	1757	ENDIF
	1758
	1759	END SUBROUTINE prognostic_equations_vector
	1760
	1761
[1015]	1762	!------------------------------------------------------------------------------!
[1691]	1763	! Description:
	1764	! ------------
[1682]	1765	!> Version for accelerator boards
[1015]	1766	!------------------------------------------------------------------------------!
[1691]	1767
[1682]	1768	SUBROUTINE prognostic_equations_acc
[1015]	1769
[1682]	1770
[1015]	1771	IMPLICIT NONE
	1772
[1682]	1773	INTEGER(iwp) :: i !<
	1774	INTEGER(iwp) :: j !<
	1775	INTEGER(iwp) :: k !<
	1776	INTEGER(iwp) :: runge_step !<
[1015]	1777
[1682]	1778	REAL(wp) :: sbt !<
[1320]	1779
[1015]	1780	!
	1781	!-- Set switch for intermediate Runge-Kutta step
	1782	runge_step = 0
	1783	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1784	IF ( intermediate_timestep_count == 1 ) THEN
	1785	runge_step = 1
	1786	ELSEIF ( intermediate_timestep_count < &
	1787	intermediate_timestep_count_max ) THEN
	1788	runge_step = 2
	1789	ENDIF
	1790	ENDIF
	1791
	1792	!
[1361]	1793	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
[1822]	1794	IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. &
[1361]	1795	( intermediate_timestep_count == 1 .OR. &
	1796	call_microphysics_at_all_substeps ) &
	1797	) THEN
	1798	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1799	CALL microphysics_control
	1800	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1801	ENDIF
	1802
	1803	!
[1015]	1804	!-- u-velocity component
[1374]	1805	!++ Statistics still not completely ported to accelerators
[1179]	1806	!$acc update device( hom, ref_state )
[1015]	1807	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1808
	1809	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1810	IF ( ws_scheme_mom ) THEN
	1811	CALL advec_u_ws_acc
	1812	ELSE
[1337]	1813	tend = 0.0_wp ! to be removed later??
[1015]	1814	CALL advec_u_pw
	1815	ENDIF
	1816	ELSE
	1817	CALL advec_u_up
	1818	ENDIF
	1819	CALL diffusion_u_acc
	1820	CALL coriolis_acc( 1 )
	1821	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	1822	CALL buoyancy( pt, 1 )
[1015]	1823	ENDIF
	1824
	1825	!
	1826	!-- Drag by plant canopy
[1826]	1827	IF ( plant_canopy ) CALL pcm_tendency( 1 )
[1015]	1828
	1829	!
	1830	!-- External pressure gradient
	1831	IF ( dp_external ) THEN
[1128]	1832	DO i = i_left, i_right
	1833	DO j = j_south, j_north
[1015]	1834	DO k = dp_level_ind_b+1, nzt
	1835	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1836	ENDDO
	1837	ENDDO
	1838	ENDDO
	1839	ENDIF
	1840
[1246]	1841	!
	1842	!-- Nudging
[1691]	1843	IF ( nudging ) CALL nudge( simulated_time, 'u' )
[1246]	1844
[1015]	1845	CALL user_actions( 'u-tendency' )
	1846
	1847	!
	1848	!-- Prognostic equation for u-velocity component
[1398]	1849	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, u_init, u_p )
[1257]	1850	!$acc loop independent
[1128]	1851	DO i = i_left, i_right
[1257]	1852	!$acc loop independent
[1128]	1853	DO j = j_south, j_north
[1257]	1854	!$acc loop independent
[1015]	1855	DO k = 1, nzt
	1856	IF ( k > nzb_u_inner(j,i) ) THEN
	1857	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1858	tsc(3) * tu_m(k,j,i) ) &
[1398]	1859	- tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) )
[1015]	1860	!
	1861	!-- Tendencies for the next Runge-Kutta step
	1862	IF ( runge_step == 1 ) THEN
	1863	tu_m(k,j,i) = tend(k,j,i)
	1864	ELSEIF ( runge_step == 2 ) THEN
[1337]	1865	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[1015]	1866	ENDIF
	1867	ENDIF
	1868	ENDDO
	1869	ENDDO
	1870	ENDDO
	1871	!$acc end kernels
	1872
	1873	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1874
	1875	!
	1876	!-- v-velocity component
	1877	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1878
	1879	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1880	IF ( ws_scheme_mom ) THEN
	1881	CALL advec_v_ws_acc
	1882	ELSE
[1337]	1883	tend = 0.0_wp ! to be removed later??
[1015]	1884	CALL advec_v_pw
	1885	END IF
	1886	ELSE
	1887	CALL advec_v_up
	1888	ENDIF
	1889	CALL diffusion_v_acc
	1890	CALL coriolis_acc( 2 )
	1891
	1892	!
	1893	!-- Drag by plant canopy
[1826]	1894	IF ( plant_canopy ) CALL pcm_tendency( 2 )
[1015]	1895
	1896	!
	1897	!-- External pressure gradient
	1898	IF ( dp_external ) THEN
[1128]	1899	DO i = i_left, i_right
	1900	DO j = j_south, j_north
[1015]	1901	DO k = dp_level_ind_b+1, nzt
	1902	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1903	ENDDO
	1904	ENDDO
	1905	ENDDO
	1906	ENDIF
	1907
[1246]	1908	!
	1909	!-- Nudging
[1691]	1910	IF ( nudging ) CALL nudge( simulated_time, 'v' )
[1246]	1911
[1015]	1912	CALL user_actions( 'v-tendency' )
	1913
	1914	!
	1915	!-- Prognostic equation for v-velocity component
[1398]	1916	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, v_init, v_p )
[1257]	1917	!$acc loop independent
[1128]	1918	DO i = i_left, i_right
[1257]	1919	!$acc loop independent
[1128]	1920	DO j = j_south, j_north
[1257]	1921	!$acc loop independent
[1015]	1922	DO k = 1, nzt
	1923	IF ( k > nzb_v_inner(j,i) ) THEN
	1924	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1925	tsc(3) * tv_m(k,j,i) ) &
[1398]	1926	- tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) )
[1015]	1927	!
	1928	!-- Tendencies for the next Runge-Kutta step
	1929	IF ( runge_step == 1 ) THEN
	1930	tv_m(k,j,i) = tend(k,j,i)
	1931	ELSEIF ( runge_step == 2 ) THEN
[1337]	1932	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[1015]	1933	ENDIF
	1934	ENDIF
	1935	ENDDO
	1936	ENDDO
	1937	ENDDO
	1938	!$acc end kernels
	1939
	1940	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1941
	1942	!
	1943	!-- w-velocity component
	1944	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1945
	1946	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1947	IF ( ws_scheme_mom ) THEN
	1948	CALL advec_w_ws_acc
	1949	ELSE
[1337]	1950	tend = 0.0_wp ! to be removed later??
[1015]	1951	CALL advec_w_pw
	1952	ENDIF
	1953	ELSE
	1954	CALL advec_w_up
	1955	ENDIF
	1956	CALL diffusion_w_acc
	1957	CALL coriolis_acc( 3 )
	1958
	1959	IF ( .NOT. neutral ) THEN
	1960	IF ( ocean ) THEN
[1179]	1961	CALL buoyancy( rho, 3 )
[1015]	1962	ELSE
	1963	IF ( .NOT. humidity ) THEN
[1179]	1964	CALL buoyancy_acc( pt, 3 )
[1015]	1965	ELSE
[1179]	1966	CALL buoyancy( vpt, 3 )
[1015]	1967	ENDIF
	1968	ENDIF
	1969	ENDIF
	1970
	1971	!
	1972	!-- Drag by plant canopy
[1826]	1973	IF ( plant_canopy ) CALL pcm_tendency( 3 )
[1015]	1974
	1975	CALL user_actions( 'w-tendency' )
	1976
	1977	!
	1978	!-- Prognostic equation for w-velocity component
	1979	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
[1257]	1980	!$acc loop independent
[1128]	1981	DO i = i_left, i_right
[1257]	1982	!$acc loop independent
[1128]	1983	DO j = j_south, j_north
[1257]	1984	!$acc loop independent
[1015]	1985	DO k = 1, nzt-1
	1986	IF ( k > nzb_w_inner(j,i) ) THEN
	1987	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1988	tsc(3) * tw_m(k,j,i) ) &
	1989	- tsc(5) * rdf(k) * w(k,j,i)
	1990	!
	1991	!-- Tendencies for the next Runge-Kutta step
	1992	IF ( runge_step == 1 ) THEN
	1993	tw_m(k,j,i) = tend(k,j,i)
	1994	ELSEIF ( runge_step == 2 ) THEN
[1337]	1995	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[1015]	1996	ENDIF
	1997	ENDIF
	1998	ENDDO
	1999	ENDDO
	2000	ENDDO
	2001	!$acc end kernels
	2002
	2003	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	2004
	2005
	2006	!
	2007	!-- If required, compute prognostic equation for potential temperature
	2008	IF ( .NOT. neutral ) THEN
	2009
	2010	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	2011
	2012	!
	2013	!-- pt-tendency terms with communication
	2014	sbt = tsc(2)
	2015	IF ( scalar_advec == 'bc-scheme' ) THEN
	2016
	2017	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2018	!
	2019	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	2020	sbt = 1.0_wp
[1015]	2021	ENDIF
[1337]	2022	tend = 0.0_wp
[1015]	2023	CALL advec_s_bc( pt, 'pt' )
	2024
	2025	ENDIF
	2026
	2027	!
	2028	!-- pt-tendency terms with no communication
	2029	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2030	tend = 0.0_wp
[1015]	2031	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2032	IF ( ws_scheme_sca ) THEN
	2033	CALL advec_s_ws_acc( pt, 'pt' )
	2034	ELSE
[1337]	2035	tend = 0.0_wp ! to be removed later??
[1015]	2036	CALL advec_s_pw( pt )
	2037	ENDIF
	2038	ELSE
	2039	CALL advec_s_up( pt )
	2040	ENDIF
	2041	ENDIF
	2042
	2043	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2044
	2045	!
	2046	!-- If required compute heating/cooling due to long wave radiation processes
[1496]	2047	IF ( cloud_top_radiation ) THEN
[1015]	2048	CALL calc_radiation
	2049	ENDIF
	2050
	2051	!
	2052	!-- Consideration of heat sources within the plant canopy
[1337]	2053	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[1826]	2054	CALL pcm_tendency( 4 )
[1015]	2055	ENDIF
	2056
	2057	!
[1365]	2058	!-- Large scale advection
	2059	IF ( large_scale_forcing ) THEN
	2060	CALL ls_advec( simulated_time, 'pt' )
	2061	ENDIF
	2062
	2063	!
[1380]	2064	!-- Nudging
	2065	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2066
	2067	!
[1015]	2068	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2069	IF ( large_scale_subsidence .AND. &
	2070	.NOT. use_subsidence_tendencies ) THEN
	2071	CALL subsidence( tend, pt, pt_init, 2 )
[1015]	2072	ENDIF
	2073
[1691]	2074	IF ( radiation .AND. radiation_scheme == 'rrtmg' .AND. &
	2075	simulated_time > skip_time_do_radiation ) THEN
	2076	CALL radiation_tendency ( tend )
	2077	ENDIF
	2078
[1015]	2079	CALL user_actions( 'pt-tendency' )
	2080
	2081	!
	2082	!-- Prognostic equation for potential temperature
	2083	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2084	!$acc present( tend, tpt_m, pt, pt_p )
[1257]	2085	!$acc loop independent
[1128]	2086	DO i = i_left, i_right
[1257]	2087	!$acc loop independent
[1128]	2088	DO j = j_south, j_north
[1257]	2089	!$acc loop independent
[1015]	2090	DO k = 1, nzt
	2091	IF ( k > nzb_s_inner(j,i) ) THEN
	2092	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2093	tsc(3) * tpt_m(k,j,i) ) &
	2094	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2095	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2096	!
	2097	!-- Tendencies for the next Runge-Kutta step
	2098	IF ( runge_step == 1 ) THEN
	2099	tpt_m(k,j,i) = tend(k,j,i)
	2100	ELSEIF ( runge_step == 2 ) THEN
[1337]	2101	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
[1015]	2102	ENDIF
	2103	ENDIF
	2104	ENDDO
	2105	ENDDO
	2106	ENDDO
	2107	!$acc end kernels
	2108
	2109	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2110
	2111	ENDIF
	2112
	2113	!
	2114	!-- If required, compute prognostic equation for salinity
	2115	IF ( ocean ) THEN
	2116
	2117	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2118
	2119	!
	2120	!-- sa-tendency terms with communication
	2121	sbt = tsc(2)
	2122	IF ( scalar_advec == 'bc-scheme' ) THEN
	2123
	2124	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2125	!
	2126	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2127	sbt = 1.0_wp
[1015]	2128	ENDIF
[1337]	2129	tend = 0.0_wp
[1015]	2130	CALL advec_s_bc( sa, 'sa' )
	2131
	2132	ENDIF
	2133
	2134	!
	2135	!-- sa-tendency terms with no communication
	2136	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2137	tend = 0.0_wp
[1015]	2138	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2139	IF ( ws_scheme_sca ) THEN
	2140	CALL advec_s_ws( sa, 'sa' )
	2141	ELSE
	2142	CALL advec_s_pw( sa )
	2143	ENDIF
	2144	ELSE
	2145	CALL advec_s_up( sa )
	2146	ENDIF
	2147	ENDIF
	2148
	2149	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2150
	2151	CALL user_actions( 'sa-tendency' )
	2152
	2153	!
	2154	!-- Prognostic equation for salinity
[1128]	2155	DO i = i_left, i_right
	2156	DO j = j_south, j_north
[1015]	2157	DO k = nzb_s_inner(j,i)+1, nzt
	2158	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2159	tsc(3) * tsa_m(k,j,i) ) &
	2160	- tsc(5) * rdf_sc(k) * &
	2161	( sa(k,j,i) - sa_init(k) )
[1337]	2162	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[1015]	2163	!
	2164	!-- Tendencies for the next Runge-Kutta step
	2165	IF ( runge_step == 1 ) THEN
	2166	tsa_m(k,j,i) = tend(k,j,i)
	2167	ELSEIF ( runge_step == 2 ) THEN
[1337]	2168	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
[1015]	2169	ENDIF
	2170	ENDDO
	2171	ENDDO
	2172	ENDDO
	2173
	2174	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2175
	2176	!
	2177	!-- Calculate density by the equation of state for seawater
	2178	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2179	CALL eqn_state_seawater
	2180	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2181
	2182	ENDIF
	2183
	2184	!
	2185	!-- If required, compute prognostic equation for total water content / scalar
	2186	IF ( humidity .OR. passive_scalar ) THEN
	2187
	2188	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2189
	2190	!
	2191	!-- Scalar/q-tendency terms with communication
	2192	sbt = tsc(2)
	2193	IF ( scalar_advec == 'bc-scheme' ) THEN
	2194
	2195	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2196	!
	2197	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2198	sbt = 1.0_wp
[1015]	2199	ENDIF
[1337]	2200	tend = 0.0_wp
[1015]	2201	CALL advec_s_bc( q, 'q' )
	2202
	2203	ENDIF
	2204
	2205	!
	2206	!-- Scalar/q-tendency terms with no communication
	2207	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2208	tend = 0.0_wp
[1015]	2209	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2210	IF ( ws_scheme_sca ) THEN
	2211	CALL advec_s_ws( q, 'q' )
	2212	ELSE
	2213	CALL advec_s_pw( q )
	2214	ENDIF
	2215	ELSE
	2216	CALL advec_s_up( q )
	2217	ENDIF
	2218	ENDIF
	2219
	2220	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2221
	2222	!
	2223	!-- Sink or source of scalar concentration due to canopy elements
[1826]	2224	IF ( plant_canopy ) CALL pcm_tendency( 5 )
[1015]	2225
	2226	!
[1365]	2227	!-- Large scale advection
	2228	IF ( large_scale_forcing ) THEN
	2229	CALL ls_advec( simulated_time, 'q' )
	2230	ENDIF
	2231
	2232	!
[1380]	2233	!-- Nudging
	2234	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2235
	2236	!
[1015]	2237	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2238	IF ( large_scale_subsidence .AND. &
	2239	.NOT. use_subsidence_tendencies ) THEN
	2240	CALL subsidence( tend, q, q_init, 3 )
[1015]	2241	ENDIF
	2242
	2243	CALL user_actions( 'q-tendency' )
	2244
	2245	!
	2246	!-- Prognostic equation for total water content / scalar
[1128]	2247	DO i = i_left, i_right
	2248	DO j = j_south, j_north
[1015]	2249	DO k = nzb_s_inner(j,i)+1, nzt
	2250	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2251	tsc(3) * tq_m(k,j,i) ) &
	2252	- tsc(5) * rdf_sc(k) * &
	2253	( q(k,j,i) - q_init(k) )
[1337]	2254	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[1015]	2255	!
	2256	!-- Tendencies for the next Runge-Kutta step
	2257	IF ( runge_step == 1 ) THEN
	2258	tq_m(k,j,i) = tend(k,j,i)
	2259	ELSEIF ( runge_step == 2 ) THEN
[1337]	2260	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[1015]	2261	ENDIF
	2262	ENDDO
	2263	ENDDO
	2264	ENDDO
	2265
	2266	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2267
[1361]	2268	!
	2269	!-- If required, calculate prognostic equations for rain water content
	2270	!-- and rain drop concentration
[1822]	2271	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1361]	2272
	2273	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2274	!
	2275	!-- qr-tendency terms with communication
	2276	sbt = tsc(2)
	2277	IF ( scalar_advec == 'bc-scheme' ) THEN
	2278
	2279	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2280	!
	2281	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2282	sbt = 1.0_wp
	2283	ENDIF
	2284	tend = 0.0_wp
	2285	CALL advec_s_bc( qr, 'qr' )
	2286
	2287	ENDIF
	2288
	2289	!
	2290	!-- qr-tendency terms with no communication
	2291	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2292	tend = 0.0_wp
	2293	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2294	IF ( ws_scheme_sca ) THEN
	2295	CALL advec_s_ws( qr, 'qr' )
	2296	ELSE
	2297	CALL advec_s_pw( qr )
	2298	ENDIF
	2299	ELSE
	2300	CALL advec_s_up( qr )
	2301	ENDIF
	2302	ENDIF
	2303
	2304	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2305
	2306	!
	2307	!-- Prognostic equation for rain water content
	2308	DO i = i_left, i_right
	2309	DO j = j_south, j_north
	2310	DO k = nzb_s_inner(j,i)+1, nzt
	2311	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2312	tsc(3) * tqr_m(k,j,i) ) &
	2313	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2314	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2315	!
	2316	!-- Tendencies for the next Runge-Kutta step
	2317	IF ( runge_step == 1 ) THEN
	2318	tqr_m(k,j,i) = tend(k,j,i)
	2319	ELSEIF ( runge_step == 2 ) THEN
	2320	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2321	tqr_m(k,j,i)
	2322	ENDIF
	2323	ENDDO
	2324	ENDDO
	2325	ENDDO
	2326
	2327	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2328	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2329
	2330	!
	2331	!-- nr-tendency terms with communication
	2332	sbt = tsc(2)
	2333	IF ( scalar_advec == 'bc-scheme' ) THEN
	2334
	2335	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2336	!
	2337	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2338	sbt = 1.0_wp
	2339	ENDIF
	2340	tend = 0.0_wp
	2341	CALL advec_s_bc( nr, 'nr' )
	2342
	2343	ENDIF
	2344
	2345	!
	2346	!-- nr-tendency terms with no communication
	2347	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2348	tend = 0.0_wp
	2349	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2350	IF ( ws_scheme_sca ) THEN
	2351	CALL advec_s_ws( nr, 'nr' )
	2352	ELSE
	2353	CALL advec_s_pw( nr )
	2354	ENDIF
	2355	ELSE
	2356	CALL advec_s_up( nr )
	2357	ENDIF
	2358	ENDIF
	2359
	2360	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2361
	2362	!
	2363	!-- Prognostic equation for rain drop concentration
	2364	DO i = i_left, i_right
	2365	DO j = j_south, j_north
	2366	DO k = nzb_s_inner(j,i)+1, nzt
	2367	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2368	tsc(3) * tnr_m(k,j,i) ) &
	2369	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2370	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2371	!
	2372	!-- Tendencies for the next Runge-Kutta step
	2373	IF ( runge_step == 1 ) THEN
	2374	tnr_m(k,j,i) = tend(k,j,i)
	2375	ELSEIF ( runge_step == 2 ) THEN
	2376	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2377	tnr_m(k,j,i)
	2378	ENDIF
	2379	ENDDO
	2380	ENDDO
	2381	ENDDO
	2382
	2383	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2384
	2385	ENDIF
	2386
[1015]	2387	ENDIF
	2388
	2389	!
	2390	!-- If required, compute prognostic equation for turbulent kinetic
	2391	!-- energy (TKE)
	2392	IF ( .NOT. constant_diffusion ) THEN
	2393
	2394	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2395
	2396	sbt = tsc(2)
	2397	IF ( .NOT. use_upstream_for_tke ) THEN
	2398	IF ( scalar_advec == 'bc-scheme' ) THEN
	2399
	2400	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2401	!
	2402	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2403	sbt = 1.0_wp
[1015]	2404	ENDIF
[1337]	2405	tend = 0.0_wp
[1015]	2406	CALL advec_s_bc( e, 'e' )
	2407
	2408	ENDIF
	2409	ENDIF
	2410
	2411	!
	2412	!-- TKE-tendency terms with no communication
	2413	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2414	IF ( use_upstream_for_tke ) THEN
[1337]	2415	tend = 0.0_wp
[1015]	2416	CALL advec_s_up( e )
	2417	ELSE
	2418	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2419	IF ( ws_scheme_sca ) THEN
	2420	CALL advec_s_ws_acc( e, 'e' )
	2421	ELSE
[1337]	2422	tend = 0.0_wp ! to be removed later??
[1015]	2423	CALL advec_s_pw( e )
	2424	ENDIF
	2425	ELSE
[1337]	2426	tend = 0.0_wp ! to be removed later??
[1015]	2427	CALL advec_s_up( e )
	2428	ENDIF
	2429	ENDIF
	2430	ENDIF
	2431
	2432	IF ( .NOT. humidity ) THEN
	2433	IF ( ocean ) THEN
	2434	CALL diffusion_e( prho, prho_reference )
	2435	ELSE
	2436	CALL diffusion_e_acc( pt, pt_reference )
	2437	ENDIF
	2438	ELSE
	2439	CALL diffusion_e( vpt, pt_reference )
	2440	ENDIF
	2441
	2442	CALL production_e_acc
	2443
	2444	!
	2445	!-- Additional sink term for flows through plant canopies
[1826]	2446	IF ( plant_canopy ) CALL pcm_tendency( 6 )
[1015]	2447	CALL user_actions( 'e-tendency' )
	2448
	2449	!
	2450	!-- Prognostic equation for TKE.
	2451	!-- Eliminate negative TKE values, which can occur due to numerical
	2452	!-- reasons in the course of the integration. In such cases the old TKE
	2453	!-- value is reduced by 90%.
	2454	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
[1257]	2455	!$acc loop independent
[1128]	2456	DO i = i_left, i_right
[1257]	2457	!$acc loop independent
[1128]	2458	DO j = j_south, j_north
[1257]	2459	!$acc loop independent
[1015]	2460	DO k = 1, nzt
	2461	IF ( k > nzb_s_inner(j,i) ) THEN
	2462	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2463	tsc(3) * te_m(k,j,i) )
[1337]	2464	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[1015]	2465	!
	2466	!-- Tendencies for the next Runge-Kutta step
	2467	IF ( runge_step == 1 ) THEN
	2468	te_m(k,j,i) = tend(k,j,i)
	2469	ELSEIF ( runge_step == 2 ) THEN
[1337]	2470	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[1015]	2471	ENDIF
	2472	ENDIF
	2473	ENDDO
	2474	ENDDO
	2475	ENDDO
	2476	!$acc end kernels
	2477
	2478	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2479
	2480	ENDIF
	2481
	2482	END SUBROUTINE prognostic_equations_acc
	2483
	2484
[736]	2485	END MODULE prognostic_equations_mod

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source: palm/trunk/SOURCE/prognostic_equations_mod.f90 @ 1851

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