Home

Context Navigation

source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1398

Last change on this file since 1398 was 1398, checked in by heinze, 10 years ago
adjustments in case of nudging + bugfix for KIND in CMPLX function
Property svn:keywords set to `Id`
File size: 83.3 KB

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

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

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |