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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1374

Last change on this file since 1374 was 1374, checked in by raasch, 10 years ago
bugfixes: missing variables added to ONLY lists in USE statements (advec_s_bc, advec_s_pw, advec_s_up, advec_ws, buoyancy, diffusion_e, diffusion_s, fft_xy, flow_statistics, palm, prognostic_equations) missing module kinds added (cuda_fft_interfaces) dpk renamed dp (fft_xy) missing dependency for check_open added (Makefile) variables removed from acc-present-list (diffusion_e, diffusion_w, diffusivities, production_e, wall_fluxes) syntax errors removed from openacc-branch (flow_statistics) USE-statement for nopointer-case added (swap_timelevel)
Property svn:keywords set to `Id`
File size: 82.9 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	! ------------------
[1374]	22	! missing variables added to ONLY lists
[1366]	23	!
	24	! Former revisions:
	25	! -----------------
	26	! $Id: prognostic_equations.f90 1374 2014-04-25 12:55:07Z raasch $
	27	!
	28	! 1365 2014-04-22 15:03:56Z boeske
[1365]	29	! Calls of ls_advec for large scale advection added,
	30	! subroutine subsidence is only called if use_subsidence_tendencies = .F.,
	31	! new argument ls_index added to the calls of subsidence
	32	! +ls_index
	33	!
	34	! 1361 2014-04-16 15:17:48Z hoffmann
[1361]	35	! Two-moment microphysics moved to the start of prognostic equations. This makes
	36	! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant.
	37	! Additionally, it is allowed to call the microphysics just once during the time
	38	! step (not at each sub-time step).
	39	!
	40	! Two-moment cloud physics added for vector and accelerator optimization.
	41	!
	42	! 1353 2014-04-08 15:21:23Z heinze
[1354]	43	! REAL constants provided with KIND-attribute
	44	!
[1353]	45	! 1337 2014-03-25 15:11:48Z heinze
	46	! Bugfix: REAL constants provided with KIND-attribute
	47	!
	48	! 1332 2014-03-25 11:59:43Z suehring
[1333]	49	! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke
	50	!
[1332]	51	! 1330 2014-03-24 17:29:32Z suehring
[1331]	52	! In case of SGS-particle velocity advection of TKE is also allowed with
	53	! dissipative 5th-order scheme.
	54	!
[1321]	55	! 1320 2014-03-20 08:40:49Z raasch
[1320]	56	! ONLY-attribute added to USE-statements,
	57	! kind-parameters added to all INTEGER and REAL declaration statements,
	58	! kinds are defined in new module kinds,
	59	! old module precision_kind is removed,
	60	! revision history before 2012 removed,
	61	! comment fields (!:) to be used for variable explanations added to
	62	! all variable declaration statements
[1054]	63	!
[1319]	64	! 1318 2014-03-17 13:35:16Z raasch
	65	! module interfaces removed
	66	!
[1258]	67	! 1257 2013-11-08 15:18:40Z raasch
	68	! openacc loop vector clauses removed, independent clauses added
	69	!
[1247]	70	! 1246 2013-11-01 08:59:45Z heinze
	71	! enable nudging also for accelerator version
	72	!
[1242]	73	! 1241 2013-10-30 11:36:58Z heinze
	74	! usage of nudging enabled (so far not implemented for accelerator version)
	75	!
[1182]	76	! 1179 2013-06-14 05:57:58Z raasch
	77	! two arguments removed from routine buoyancy, ref_state updated on device
	78	!
[1132]	79	! 1128 2013-04-12 06:19:32Z raasch
	80	! those parts requiring global communication moved to time_integration,
	81	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	82	! j_north
	83	!
[1116]	84	! 1115 2013-03-26 18:16:16Z hoffmann
	85	! optimized cloud physics: calculation of microphysical tendencies transfered
	86	! to microphysics.f90; qr and nr are only calculated if precipitation is required
	87	!
[1112]	88	! 1111 2013-03-08 23:54:10Z raasch
	89	! update directives for prognostic quantities removed
	90	!
[1107]	91	! 1106 2013-03-04 05:31:38Z raasch
	92	! small changes in code formatting
	93	!
[1093]	94	! 1092 2013-02-02 11:24:22Z raasch
	95	! unused variables removed
	96	!
[1054]	97	! 1053 2012-11-13 17:11:03Z hoffmann
[1053]	98	! implementation of two new prognostic equations for rain drop concentration (nr)
	99	! and rain water content (qr)
[979]	100	!
[1053]	101	! currently, only available for cache loop optimization
[1020]	102	!
[1037]	103	! 1036 2012-10-22 13:43:42Z raasch
	104	! code put under GPL (PALM 3.9)
	105	!
[1020]	106	! 1019 2012-09-28 06:46:45Z raasch
	107	! non-optimized version of prognostic_equations removed
	108	!
[1017]	109	! 1015 2012-09-27 09:23:24Z raasch
	110	! new branch prognostic_equations_acc
	111	! OpenACC statements added + code changes required for GPU optimization
	112	!
[1002]	113	! 1001 2012-09-13 14:08:46Z raasch
	114	! all actions concerning leapfrog- and upstream-spline-scheme removed
	115	!
[979]	116	! 978 2012-08-09 08:28:32Z fricke
[978]	117	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
	118	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
	119	! boundary in case of non-cyclic lateral boundaries
	120	! Bugfix: first thread index changes for WS-scheme at the inflow
[736]	121	!
[941]	122	! 940 2012-07-09 14:31:00Z raasch
	123	! temperature equation can be switched off
	124	!
[736]	125	! Revision 1.1 2000/04/13 14:56:27 schroeter
	126	! Initial revision
	127	!
	128	!
	129	! Description:
	130	! ------------
	131	! Solving the prognostic equations.
	132	!------------------------------------------------------------------------------!
	133
[1320]	134	USE arrays_3d, &
	135	ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, &
	136	diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, &
	137	diss_s_qr, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, flux_s_pt, &
	138	flux_s_q, flux_s_qr, flux_s_sa, flux_l_e, flux_l_nr, &
	139	flux_l_pt, flux_l_q, flux_l_qr, flux_l_sa, nr, nr_p, nrsws, &
	140	nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, prho, q, q_init, &
[1374]	141	q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf, rdf_sc, &
	142	ref_state, rho, sa, sa_init, sa_p, saswsb, saswst, shf, tend, &
	143	te_m, tnr_m, tpt_m, tq_m, tqr_m, tsa_m, tswst, tu_m, tv_m, &
	144	tw_m, u, ug, u_p, v, vg, vpt, v_p, w, w_p
[1320]	145
	146	USE control_parameters, &
[1361]	147	ONLY: call_microphysics_at_all_substeps, cloud_physics, &
	148	constant_diffusion, cthf, dp_external, &
[1320]	149	dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, &
	150	icloud_scheme, inflow_l, intermediate_timestep_count, &
[1365]	151	intermediate_timestep_count_max, large_scale_forcing, &
	152	large_scale_subsidence, neutral, nudging, ocean, outflow_l, &
	153	outflow_s, passive_scalar, plant_canopy, precipitation, &
	154	prho_reference, prho_reference, prho_reference, pt_reference, &
	155	pt_reference, pt_reference, radiation, scalar_advec, &
	156	scalar_advec, simulated_time, sloping_surface, timestep_scheme, &
	157	tsc, use_subsidence_tendencies, use_upstream_for_tke, &
[1320]	158	use_upstream_for_tke, use_upstream_for_tke, wall_heatflux, &
	159	wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, &
	160	wall_salinityflux, ws_scheme_mom, ws_scheme_sca
[736]	161
[1320]	162	USE cpulog, &
	163	ONLY: cpu_log, log_point
[736]	164
[1320]	165	USE eqn_state_seawater_mod, &
	166	ONLY: eqn_state_seawater
	167
	168	USE indices, &
	169	ONLY: i_left, i_right, j_north, j_south, nxl, nxlu, nxr, nyn, nys, &
	170	nysv, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	171
	172	USE advec_ws, &
	173	ONLY: advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, &
	174	advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc
	175
	176	USE advec_s_pw_mod, &
	177	ONLY: advec_s_pw
	178
	179	USE advec_s_up_mod, &
	180	ONLY: advec_s_up
	181
	182	USE advec_u_pw_mod, &
	183	ONLY: advec_u_pw
	184
	185	USE advec_u_up_mod, &
	186	ONLY: advec_u_up
	187
	188	USE advec_v_pw_mod, &
	189	ONLY: advec_v_pw
	190
	191	USE advec_v_up_mod, &
	192	ONLY: advec_v_up
	193
	194	USE advec_w_pw_mod, &
	195	ONLY: advec_w_pw
	196
	197	USE advec_w_up_mod, &
	198	ONLY: advec_w_up
	199
	200	USE buoyancy_mod, &
	201	ONLY: buoyancy, buoyancy_acc
	202
	203	USE calc_precipitation_mod, &
	204	ONLY: calc_precipitation
	205
	206	USE calc_radiation_mod, &
	207	ONLY: calc_radiation
	208
	209	USE coriolis_mod, &
	210	ONLY: coriolis, coriolis_acc
	211
	212	USE diffusion_e_mod, &
	213	ONLY: diffusion_e, diffusion_e_acc
	214
	215	USE diffusion_s_mod, &
	216	ONLY: diffusion_s, diffusion_s_acc
	217
	218	USE diffusion_u_mod, &
	219	ONLY: diffusion_u, diffusion_u_acc
	220
	221	USE diffusion_v_mod, &
	222	ONLY: diffusion_v, diffusion_v_acc
	223
	224	USE diffusion_w_mod, &
	225	ONLY: diffusion_w, diffusion_w_acc
	226
	227	USE impact_of_latent_heat_mod, &
	228	ONLY: impact_of_latent_heat
	229
	230	USE kinds
	231
[1365]	232	USE ls_forcing_mod, &
	233	ONLY: ls_advec
	234
[1320]	235	USE microphysics_mod, &
	236	ONLY: microphysics_control
	237
	238	USE nudge_mod, &
	239	ONLY: nudge
	240
	241	USE plant_canopy_model_mod, &
	242	ONLY: plant_canopy_model
	243
	244	USE production_e_mod, &
	245	ONLY: production_e, production_e_acc
	246
[1374]	247	USE statistics, &
	248	ONLY: hom
	249
[1320]	250	USE subsidence_mod, &
	251	ONLY: subsidence
	252
	253	USE user_actions_mod, &
	254	ONLY: user_actions
	255
	256
[736]	257	PRIVATE
[1019]	258	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
	259	prognostic_equations_acc
[736]	260
	261	INTERFACE prognostic_equations_cache
	262	MODULE PROCEDURE prognostic_equations_cache
	263	END INTERFACE prognostic_equations_cache
	264
	265	INTERFACE prognostic_equations_vector
	266	MODULE PROCEDURE prognostic_equations_vector
	267	END INTERFACE prognostic_equations_vector
	268
[1015]	269	INTERFACE prognostic_equations_acc
	270	MODULE PROCEDURE prognostic_equations_acc
	271	END INTERFACE prognostic_equations_acc
[736]	272
[1015]	273
[736]	274	CONTAINS
	275
	276
	277	SUBROUTINE prognostic_equations_cache
	278
	279	!------------------------------------------------------------------------------!
	280	! Version with one optimized loop over all equations. It is only allowed to
	281	! be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
	282	!
	283	! Here the calls of most subroutines are embedded in two DO loops over i and j,
	284	! so communication between CPUs is not allowed (does not make sense) within
	285	! these loops.
	286	!
	287	! (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
	288	!------------------------------------------------------------------------------!
	289
	290	IMPLICIT NONE
	291
[1320]	292	INTEGER(iwp) :: i !:
	293	INTEGER(iwp) :: i_omp_start !:
	294	INTEGER(iwp) :: j !:
	295	INTEGER(iwp) :: k !:
	296	INTEGER(iwp) :: omp_get_thread_num !:
	297	INTEGER(iwp) :: tn = 0 !:
	298
	299	LOGICAL :: loop_start !:
[736]	300
	301
	302	!
	303	!-- Time measurement can only be performed for the whole set of equations
	304	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
	305
	306	!
	307	!-- Loop over all prognostic equations
	308	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
	309
	310	!$ tn = omp_get_thread_num()
	311	loop_start = .TRUE.
	312	!$OMP DO
	313	DO i = nxl, nxr
	314
	315	!
	316	!-- Store the first loop index. It differs for each thread and is required
	317	!-- later in advec_ws
	318	IF ( loop_start ) THEN
	319	loop_start = .FALSE.
	320	i_omp_start = i
	321	ENDIF
[1365]	322
[736]	323	DO j = nys, nyn
	324	!
[1361]	325	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	326	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	327	( intermediate_timestep_count == 1 .OR. &
	328	call_microphysics_at_all_substeps ) &
	329	) THEN
	330	CALL microphysics_control( i, j )
	331	ENDIF
	332	!
[736]	333	!-- Tendency terms for u-velocity component
	334	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
	335
[1337]	336	tend(:,j,i) = 0.0_wp
[1001]	337	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	338	IF ( ws_scheme_mom ) THEN
[978]	339	IF ( ( inflow_l .OR. outflow_l ) .AND. i_omp_start == nxl ) THEN
[736]	340	CALL advec_u_ws( i, j, i_omp_start + 1, tn )
	341	ELSE
	342	CALL advec_u_ws( i, j, i_omp_start, tn )
	343	ENDIF
	344	ELSE
	345	CALL advec_u_pw( i, j )
	346	ENDIF
	347	ELSE
	348	CALL advec_u_up( i, j )
	349	ENDIF
[1001]	350	CALL diffusion_u( i, j )
[736]	351	CALL coriolis( i, j, 1 )
[940]	352	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	353	CALL buoyancy( i, j, pt, 1 )
[940]	354	ENDIF
[736]	355
	356	!
	357	!-- Drag by plant canopy
	358	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 1 )
	359
	360	!
	361	!-- External pressure gradient
	362	IF ( dp_external ) THEN
	363	DO k = dp_level_ind_b+1, nzt
	364	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	365	ENDDO
	366	ENDIF
	367
[1241]	368	!
	369	!-- Nudging
	370	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
	371
[736]	372	CALL user_actions( i, j, 'u-tendency' )
	373	!
	374	!-- Prognostic equation for u-velocity component
	375	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	376	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	377	tsc(3) * tu_m(k,j,i) ) &
	378	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
[736]	379	ENDDO
	380
	381	!
	382	!-- Calculate tendencies for the next Runge-Kutta step
	383	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	384	IF ( intermediate_timestep_count == 1 ) THEN
	385	DO k = nzb_u_inner(j,i)+1, nzt
	386	tu_m(k,j,i) = tend(k,j,i)
	387	ENDDO
	388	ELSEIF ( intermediate_timestep_count < &
	389	intermediate_timestep_count_max ) THEN
	390	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	391	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	392	ENDDO
	393	ENDIF
	394	ENDIF
	395
	396	ENDIF
	397
	398	!
	399	!-- Tendency terms for v-velocity component
	400	IF ( .NOT. outflow_s .OR. j > nys ) THEN
	401
[1337]	402	tend(:,j,i) = 0.0_wp
[1001]	403	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	404	IF ( ws_scheme_mom ) THEN
	405	CALL advec_v_ws( i, j, i_omp_start, tn )
	406	ELSE
	407	CALL advec_v_pw( i, j )
	408	ENDIF
	409	ELSE
	410	CALL advec_v_up( i, j )
	411	ENDIF
[1001]	412	CALL diffusion_v( i, j )
[736]	413	CALL coriolis( i, j, 2 )
	414
	415	!
	416	!-- Drag by plant canopy
	417	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 2 )
	418
	419	!
	420	!-- External pressure gradient
	421	IF ( dp_external ) THEN
	422	DO k = dp_level_ind_b+1, nzt
	423	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	424	ENDDO
	425	ENDIF
	426
[1241]	427	!
	428	!-- Nudging
	429	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
	430
[736]	431	CALL user_actions( i, j, 'v-tendency' )
	432	!
	433	!-- Prognostic equation for v-velocity component
	434	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	435	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	436	tsc(3) * tv_m(k,j,i) ) &
	437	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
[736]	438	ENDDO
	439
	440	!
	441	!-- Calculate tendencies for the next Runge-Kutta step
	442	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	443	IF ( intermediate_timestep_count == 1 ) THEN
	444	DO k = nzb_v_inner(j,i)+1, nzt
	445	tv_m(k,j,i) = tend(k,j,i)
	446	ENDDO
	447	ELSEIF ( intermediate_timestep_count < &
	448	intermediate_timestep_count_max ) THEN
	449	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	450	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	451	ENDDO
	452	ENDIF
	453	ENDIF
	454
	455	ENDIF
	456
	457	!
	458	!-- Tendency terms for w-velocity component
[1337]	459	tend(:,j,i) = 0.0_wp
[1001]	460	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	461	IF ( ws_scheme_mom ) THEN
	462	CALL advec_w_ws( i, j, i_omp_start, tn )
	463	ELSE
	464	CALL advec_w_pw( i, j )
	465	END IF
	466	ELSE
	467	CALL advec_w_up( i, j )
	468	ENDIF
[1001]	469	CALL diffusion_w( i, j )
[736]	470	CALL coriolis( i, j, 3 )
[940]	471
	472	IF ( .NOT. neutral ) THEN
	473	IF ( ocean ) THEN
[1179]	474	CALL buoyancy( i, j, rho, 3 )
[736]	475	ELSE
[940]	476	IF ( .NOT. humidity ) THEN
[1179]	477	CALL buoyancy( i, j, pt, 3 )
[940]	478	ELSE
[1179]	479	CALL buoyancy( i, j, vpt, 3 )
[940]	480	ENDIF
[736]	481	ENDIF
	482	ENDIF
	483
	484	!
	485	!-- Drag by plant canopy
	486	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 3 )
	487
	488	CALL user_actions( i, j, 'w-tendency' )
	489
	490	!
	491	!-- Prognostic equation for w-velocity component
	492	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	493	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	494	tsc(3) * tw_m(k,j,i) ) &
	495	- tsc(5) * rdf(k) * w(k,j,i)
[736]	496	ENDDO
	497
	498	!
	499	!-- Calculate tendencies for the next Runge-Kutta step
	500	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	501	IF ( intermediate_timestep_count == 1 ) THEN
	502	DO k = nzb_w_inner(j,i)+1, nzt-1
	503	tw_m(k,j,i) = tend(k,j,i)
	504	ENDDO
	505	ELSEIF ( intermediate_timestep_count < &
	506	intermediate_timestep_count_max ) THEN
	507	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	508	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	509	ENDDO
	510	ENDIF
	511	ENDIF
[1361]	512
[736]	513	!
[940]	514	!-- If required, compute prognostic equation for potential temperature
	515	IF ( .NOT. neutral ) THEN
	516	!
	517	!-- Tendency terms for potential temperature
[1337]	518	tend(:,j,i) = 0.0_wp
[1001]	519	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	520	IF ( ws_scheme_sca ) THEN
	521	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
	522	flux_l_pt, diss_l_pt, i_omp_start, tn )
	523	ELSE
	524	CALL advec_s_pw( i, j, pt )
	525	ENDIF
	526	ELSE
	527	CALL advec_s_up( i, j, pt )
	528	ENDIF
[1001]	529	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
[736]	530
	531	!
[940]	532	!-- If required compute heating/cooling due to long wave radiation
	533	!-- processes
	534	IF ( radiation ) THEN
	535	CALL calc_radiation( i, j )
	536	ENDIF
[736]	537
[1106]	538	!
[1361]	539	!-- If required compute impact of latent heat due to precipitation
	540	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	541	precipitation ) THEN
	542	CALL impact_of_latent_heat( i, j )
[940]	543	ENDIF
[736]	544
	545	!
[940]	546	!-- Consideration of heat sources within the plant canopy
[1337]	547	IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN
[940]	548	CALL plant_canopy_model( i, j, 4 )
	549	ENDIF
[736]	550
[940]	551	!
[1365]	552	!-- Large scale advection
	553	IF ( large_scale_forcing ) THEN
	554	CALL ls_advec( i, j, simulated_time, 'pt' )
	555	ENDIF
	556
	557	!
[1106]	558	!-- If required, compute effect of large-scale subsidence/ascent
[1365]	559	IF ( large_scale_subsidence .AND. &
	560	.NOT. use_subsidence_tendencies ) THEN
	561	CALL subsidence( i, j, tend, pt, pt_init, 2 )
[940]	562	ENDIF
[736]	563
[1241]	564	!
	565	!-- Nudging
	566	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
	567
[940]	568	CALL user_actions( i, j, 'pt-tendency' )
[736]	569
	570	!
[940]	571	!-- Prognostic equation for potential temperature
	572	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	573	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	574	tsc(3) * tpt_m(k,j,i) ) &
	575	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	576	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	577	ENDDO
[736]	578
	579	!
[940]	580	!-- Calculate tendencies for the next Runge-Kutta step
	581	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	582	IF ( intermediate_timestep_count == 1 ) THEN
	583	DO k = nzb_s_inner(j,i)+1, nzt
	584	tpt_m(k,j,i) = tend(k,j,i)
	585	ENDDO
	586	ELSEIF ( intermediate_timestep_count < &
	587	intermediate_timestep_count_max ) THEN
	588	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	589	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	590	5.3125_wp * tpt_m(k,j,i)
[940]	591	ENDDO
	592	ENDIF
[736]	593	ENDIF
[940]	594
[736]	595	ENDIF
	596
	597	!
	598	!-- If required, compute prognostic equation for salinity
	599	IF ( ocean ) THEN
	600
	601	!
	602	!-- Tendency-terms for salinity
[1337]	603	tend(:,j,i) = 0.0_wp
[1001]	604	IF ( timestep_scheme(1:5) == 'runge' ) &
[736]	605	THEN
	606	IF ( ws_scheme_sca ) THEN
	607	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
	608	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
	609	ELSE
	610	CALL advec_s_pw( i, j, sa )
	611	ENDIF
	612	ELSE
	613	CALL advec_s_up( i, j, sa )
	614	ENDIF
[1001]	615	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
[736]	616
	617	CALL user_actions( i, j, 'sa-tendency' )
	618
	619	!
	620	!-- Prognostic equation for salinity
	621	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	622	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	623	tsc(3) * tsa_m(k,j,i) ) &
	624	- tsc(5) * rdf_sc(k) * &
	625	( sa(k,j,i) - sa_init(k) )
[1337]	626	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	627	ENDDO
	628
	629	!
	630	!-- Calculate tendencies for the next Runge-Kutta step
	631	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	632	IF ( intermediate_timestep_count == 1 ) THEN
	633	DO k = nzb_s_inner(j,i)+1, nzt
	634	tsa_m(k,j,i) = tend(k,j,i)
	635	ENDDO
	636	ELSEIF ( intermediate_timestep_count < &
	637	intermediate_timestep_count_max ) THEN
	638	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	639	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	640	5.3125_wp * tsa_m(k,j,i)
[736]	641	ENDDO
	642	ENDIF
	643	ENDIF
	644
	645	!
	646	!-- Calculate density by the equation of state for seawater
	647	CALL eqn_state_seawater( i, j )
	648
	649	ENDIF
	650
	651	!
	652	!-- If required, compute prognostic equation for total water content /
	653	!-- scalar
	654	IF ( humidity .OR. passive_scalar ) THEN
	655
	656	!
	657	!-- Tendency-terms for total water content / scalar
[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, q, 'q', flux_s_q, &
	663	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
	664	ELSE
	665	CALL advec_s_pw( i, j, q )
	666	ENDIF
	667	ELSE
	668	CALL advec_s_up( i, j, q )
	669	ENDIF
[1001]	670	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
[1053]	671
[736]	672	!
[1361]	673	!-- If required compute decrease of total water content due to
	674	!-- precipitation
	675	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. &
	676	precipitation ) THEN
	677	CALL calc_precipitation( i, j )
[736]	678	ENDIF
	679	!
	680	!-- Sink or source of scalar concentration due to canopy elements
[1106]	681	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 5 )
[736]	682
[1053]	683	!
[1365]	684	!-- Large scale advection
	685	IF ( large_scale_forcing ) THEN
	686	CALL ls_advec( i, j, simulated_time, 'q' )
	687	ENDIF
	688
	689	!
[736]	690	!-- If required compute influence of large-scale subsidence/ascent
[1365]	691	IF ( large_scale_subsidence .AND. &
	692	.NOT. use_subsidence_tendencies ) THEN
	693	CALL subsidence( i, j, tend, q, q_init, 3 )
[736]	694	ENDIF
	695
[1241]	696	!
	697	!-- Nudging
	698	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
	699
[736]	700	CALL user_actions( i, j, 'q-tendency' )
	701
	702	!
	703	!-- Prognostic equation for total water content / scalar
	704	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	705	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	706	tsc(3) * tq_m(k,j,i) ) &
	707	- tsc(5) * rdf_sc(k) * &
	708	( q(k,j,i) - q_init(k) )
[1337]	709	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	710	ENDDO
	711
	712	!
	713	!-- Calculate tendencies for the next Runge-Kutta step
	714	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	715	IF ( intermediate_timestep_count == 1 ) THEN
	716	DO k = nzb_s_inner(j,i)+1, nzt
	717	tq_m(k,j,i) = tend(k,j,i)
	718	ENDDO
	719	ELSEIF ( intermediate_timestep_count < &
	720	intermediate_timestep_count_max ) THEN
	721	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	722	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	723	5.3125_wp * tq_m(k,j,i)
[736]	724	ENDDO
	725	ENDIF
	726	ENDIF
	727
[1053]	728	!
	729	!-- If required, calculate prognostic equations for rain water content
	730	!-- and rain drop concentration
[1115]	731	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	732	precipitation ) THEN
[1053]	733	!
	734	!-- Calculate prognostic equation for rain water content
[1337]	735	tend(:,j,i) = 0.0_wp
[1053]	736	IF ( timestep_scheme(1:5) == 'runge' ) &
	737	THEN
	738	IF ( ws_scheme_sca ) THEN
	739	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
	740	diss_s_qr, flux_l_qr, diss_l_qr, &
	741	i_omp_start, tn )
	742	ELSE
	743	CALL advec_s_pw( i, j, qr )
	744	ENDIF
	745	ELSE
	746	CALL advec_s_up( i, j, qr )
	747	ENDIF
	748	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
	749
[1115]	750	CALL user_actions( i, j, 'qr-tendency' )
[1053]	751	!
	752	!-- Prognostic equation for rain water content
	753	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	754	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	755	tsc(3) * tqr_m(k,j,i) ) &
	756	- tsc(5) * rdf_sc(k) * qr(k,j,i)
[1337]	757	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
[1053]	758	ENDDO
	759	!
	760	!-- Calculate tendencies for the next Runge-Kutta step
	761	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	762	IF ( intermediate_timestep_count == 1 ) THEN
	763	DO k = nzb_s_inner(j,i)+1, nzt
	764	tqr_m(k,j,i) = tend(k,j,i)
	765	ENDDO
	766	ELSEIF ( intermediate_timestep_count < &
	767	intermediate_timestep_count_max ) THEN
	768	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	769	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	770	5.3125_wp * tqr_m(k,j,i)
[1053]	771	ENDDO
	772	ENDIF
	773	ENDIF
	774
	775	!
	776	!-- Calculate prognostic equation for rain drop concentration.
[1337]	777	tend(:,j,i) = 0.0_wp
[1053]	778	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	779	IF ( ws_scheme_sca ) THEN
[1115]	780	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
	781	diss_s_nr, flux_l_nr, diss_l_nr, &
	782	i_omp_start, tn )
[1053]	783	ELSE
	784	CALL advec_s_pw( i, j, nr )
	785	ENDIF
	786	ELSE
	787	CALL advec_s_up( i, j, nr )
	788	ENDIF
	789	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
	790
[1115]	791	CALL user_actions( i, j, 'nr-tendency' )
[1053]	792	!
	793	!-- Prognostic equation for rain drop concentration
	794	DO k = nzb_s_inner(j,i)+1, nzt
[1115]	795	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	796	tsc(3) * tnr_m(k,j,i) ) &
	797	- tsc(5) * rdf_sc(k) * nr(k,j,i)
[1337]	798	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
[1053]	799	ENDDO
	800	!
	801	!-- Calculate tendencies for the next Runge-Kutta step
	802	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	803	IF ( intermediate_timestep_count == 1 ) THEN
	804	DO k = nzb_s_inner(j,i)+1, nzt
	805	tnr_m(k,j,i) = tend(k,j,i)
	806	ENDDO
	807	ELSEIF ( intermediate_timestep_count < &
	808	intermediate_timestep_count_max ) THEN
	809	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	810	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	811	5.3125_wp * tnr_m(k,j,i)
[1053]	812	ENDDO
	813	ENDIF
	814	ENDIF
	815
	816	ENDIF
	817
[1128]	818	ENDIF
	819
[736]	820	!
	821	!-- If required, compute prognostic equation for turbulent kinetic
	822	!-- energy (TKE)
	823	IF ( .NOT. constant_diffusion ) THEN
	824
	825	!
	826	!-- Tendency-terms for TKE
[1337]	827	tend(:,j,i) = 0.0_wp
[1332]	828	IF ( timestep_scheme(1:5) == 'runge' &
	829	.AND. .NOT. use_upstream_for_tke ) THEN
[736]	830	IF ( ws_scheme_sca ) THEN
[1001]	831	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
	832	flux_l_e, diss_l_e , i_omp_start, tn )
[736]	833	ELSE
	834	CALL advec_s_pw( i, j, e )
	835	ENDIF
	836	ELSE
	837	CALL advec_s_up( i, j, e )
	838	ENDIF
[1001]	839	IF ( .NOT. humidity ) THEN
	840	IF ( ocean ) THEN
	841	CALL diffusion_e( i, j, prho, prho_reference )
[736]	842	ELSE
[1001]	843	CALL diffusion_e( i, j, pt, pt_reference )
[736]	844	ENDIF
	845	ELSE
[1001]	846	CALL diffusion_e( i, j, vpt, pt_reference )
[736]	847	ENDIF
	848	CALL production_e( i, j )
	849
	850	!
	851	!-- Additional sink term for flows through plant canopies
	852	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 6 )
	853
	854	CALL user_actions( i, j, 'e-tendency' )
	855
	856	!
	857	!-- Prognostic equation for TKE.
	858	!-- Eliminate negative TKE values, which can occur due to numerical
	859	!-- reasons in the course of the integration. In such cases the old
	860	!-- TKE value is reduced by 90%.
	861	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	862	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	863	tsc(3) * te_m(k,j,i) )
[1337]	864	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	865	ENDDO
	866
	867	!
	868	!-- Calculate tendencies for the next Runge-Kutta step
	869	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	870	IF ( intermediate_timestep_count == 1 ) THEN
	871	DO k = nzb_s_inner(j,i)+1, nzt
	872	te_m(k,j,i) = tend(k,j,i)
	873	ENDDO
	874	ELSEIF ( intermediate_timestep_count < &
	875	intermediate_timestep_count_max ) THEN
	876	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	877	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	878	5.3125_wp * te_m(k,j,i)
[736]	879	ENDDO
	880	ENDIF
	881	ENDIF
	882
	883	ENDIF ! TKE equation
	884
	885	ENDDO
	886	ENDDO
	887	!$OMP END PARALLEL
	888
	889	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
	890
	891
	892	END SUBROUTINE prognostic_equations_cache
	893
	894
	895	SUBROUTINE prognostic_equations_vector
	896
	897	!------------------------------------------------------------------------------!
	898	! Version for vector machines
	899	!------------------------------------------------------------------------------!
	900
	901	IMPLICIT NONE
	902
[1320]	903	INTEGER(iwp) :: i !:
	904	INTEGER(iwp) :: j !:
	905	INTEGER(iwp) :: k !:
[736]	906
[1320]	907	REAL(wp) :: sbt !:
[736]	908
[1320]	909
[736]	910	!
[1361]	911	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	912	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	913	( intermediate_timestep_count == 1 .OR. &
	914	call_microphysics_at_all_substeps ) &
	915	) THEN
	916	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	917	CALL microphysics_control
	918	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	919	ENDIF
	920
	921	!
[736]	922	!-- u-velocity component
	923	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	924
[1337]	925	tend = 0.0_wp
[1001]	926	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	927	IF ( ws_scheme_mom ) THEN
	928	CALL advec_u_ws
	929	ELSE
	930	CALL advec_u_pw
	931	ENDIF
	932	ELSE
[1001]	933	CALL advec_u_up
[736]	934	ENDIF
[1001]	935	CALL diffusion_u
[736]	936	CALL coriolis( 1 )
[940]	937	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	938	CALL buoyancy( pt, 1 )
[940]	939	ENDIF
[736]	940
	941	!
	942	!-- Drag by plant canopy
	943	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	944
	945	!
	946	!-- External pressure gradient
	947	IF ( dp_external ) THEN
	948	DO i = nxlu, nxr
	949	DO j = nys, nyn
	950	DO k = dp_level_ind_b+1, nzt
	951	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	952	ENDDO
	953	ENDDO
	954	ENDDO
	955	ENDIF
	956
[1241]	957	!
	958	!-- Nudging
	959	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	960
[736]	961	CALL user_actions( 'u-tendency' )
	962
	963	!
	964	!-- Prognostic equation for u-velocity component
	965	DO i = nxlu, nxr
	966	DO j = nys, nyn
	967	DO k = nzb_u_inner(j,i)+1, nzt
[1001]	968	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	969	tsc(3) * tu_m(k,j,i) ) &
	970	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
[736]	971	ENDDO
	972	ENDDO
	973	ENDDO
	974
	975	!
	976	!-- Calculate tendencies for the next Runge-Kutta step
	977	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	978	IF ( intermediate_timestep_count == 1 ) THEN
	979	DO i = nxlu, nxr
	980	DO j = nys, nyn
	981	DO k = nzb_u_inner(j,i)+1, nzt
	982	tu_m(k,j,i) = tend(k,j,i)
	983	ENDDO
	984	ENDDO
	985	ENDDO
	986	ELSEIF ( intermediate_timestep_count < &
	987	intermediate_timestep_count_max ) THEN
	988	DO i = nxlu, nxr
	989	DO j = nys, nyn
	990	DO k = nzb_u_inner(j,i)+1, nzt
[1337]	991	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[736]	992	ENDDO
	993	ENDDO
	994	ENDDO
	995	ENDIF
	996	ENDIF
	997
	998	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	999
	1000	!
	1001	!-- v-velocity component
	1002	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1003
[1337]	1004	tend = 0.0_wp
[1001]	1005	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1006	IF ( ws_scheme_mom ) THEN
	1007	CALL advec_v_ws
	1008	ELSE
	1009	CALL advec_v_pw
	1010	END IF
	1011	ELSE
[1001]	1012	CALL advec_v_up
[736]	1013	ENDIF
[1001]	1014	CALL diffusion_v
[736]	1015	CALL coriolis( 2 )
	1016
	1017	!
	1018	!-- Drag by plant canopy
	1019	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1020
	1021	!
	1022	!-- External pressure gradient
	1023	IF ( dp_external ) THEN
	1024	DO i = nxl, nxr
	1025	DO j = nysv, nyn
	1026	DO k = dp_level_ind_b+1, nzt
	1027	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1028	ENDDO
	1029	ENDDO
	1030	ENDDO
	1031	ENDIF
	1032
[1241]	1033	!
	1034	!-- Nudging
	1035	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1036
[736]	1037	CALL user_actions( 'v-tendency' )
	1038
	1039	!
	1040	!-- Prognostic equation for v-velocity component
	1041	DO i = nxl, nxr
	1042	DO j = nysv, nyn
	1043	DO k = nzb_v_inner(j,i)+1, nzt
[1001]	1044	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1045	tsc(3) * tv_m(k,j,i) ) &
	1046	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
[736]	1047	ENDDO
	1048	ENDDO
	1049	ENDDO
	1050
	1051	!
	1052	!-- Calculate tendencies for the next Runge-Kutta step
	1053	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1054	IF ( intermediate_timestep_count == 1 ) THEN
	1055	DO i = nxl, nxr
	1056	DO j = nysv, nyn
	1057	DO k = nzb_v_inner(j,i)+1, nzt
	1058	tv_m(k,j,i) = tend(k,j,i)
	1059	ENDDO
	1060	ENDDO
	1061	ENDDO
	1062	ELSEIF ( intermediate_timestep_count < &
	1063	intermediate_timestep_count_max ) THEN
	1064	DO i = nxl, nxr
	1065	DO j = nysv, nyn
	1066	DO k = nzb_v_inner(j,i)+1, nzt
[1337]	1067	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[736]	1068	ENDDO
	1069	ENDDO
	1070	ENDDO
	1071	ENDIF
	1072	ENDIF
	1073
	1074	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1075
	1076	!
	1077	!-- w-velocity component
	1078	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1079
[1353]	1080	tend = 0.0_wp
[1001]	1081	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1082	IF ( ws_scheme_mom ) THEN
	1083	CALL advec_w_ws
	1084	ELSE
	1085	CALL advec_w_pw
	1086	ENDIF
	1087	ELSE
[1001]	1088	CALL advec_w_up
[736]	1089	ENDIF
[1001]	1090	CALL diffusion_w
[736]	1091	CALL coriolis( 3 )
[940]	1092
	1093	IF ( .NOT. neutral ) THEN
	1094	IF ( ocean ) THEN
[1179]	1095	CALL buoyancy( rho, 3 )
[736]	1096	ELSE
[940]	1097	IF ( .NOT. humidity ) THEN
[1179]	1098	CALL buoyancy( pt, 3 )
[940]	1099	ELSE
[1179]	1100	CALL buoyancy( vpt, 3 )
[940]	1101	ENDIF
[736]	1102	ENDIF
	1103	ENDIF
	1104
	1105	!
	1106	!-- Drag by plant canopy
	1107	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1108
	1109	CALL user_actions( 'w-tendency' )
	1110
	1111	!
	1112	!-- Prognostic equation for w-velocity component
	1113	DO i = nxl, nxr
	1114	DO j = nys, nyn
	1115	DO k = nzb_w_inner(j,i)+1, nzt-1
[1001]	1116	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1117	tsc(3) * tw_m(k,j,i) ) &
	1118	- tsc(5) * rdf(k) * w(k,j,i)
[736]	1119	ENDDO
	1120	ENDDO
	1121	ENDDO
	1122
	1123	!
	1124	!-- Calculate tendencies for the next Runge-Kutta step
	1125	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1126	IF ( intermediate_timestep_count == 1 ) THEN
	1127	DO i = nxl, nxr
	1128	DO j = nys, nyn
	1129	DO k = nzb_w_inner(j,i)+1, nzt-1
	1130	tw_m(k,j,i) = tend(k,j,i)
	1131	ENDDO
	1132	ENDDO
	1133	ENDDO
	1134	ELSEIF ( intermediate_timestep_count < &
	1135	intermediate_timestep_count_max ) THEN
	1136	DO i = nxl, nxr
	1137	DO j = nys, nyn
	1138	DO k = nzb_w_inner(j,i)+1, nzt-1
[1337]	1139	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[736]	1140	ENDDO
	1141	ENDDO
	1142	ENDDO
	1143	ENDIF
	1144	ENDIF
	1145
	1146	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1147
[940]	1148
[736]	1149	!
[940]	1150	!-- If required, compute prognostic equation for potential temperature
	1151	IF ( .NOT. neutral ) THEN
[736]	1152
[940]	1153	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1154
[736]	1155	!
[940]	1156	!-- pt-tendency terms with communication
	1157	sbt = tsc(2)
	1158	IF ( scalar_advec == 'bc-scheme' ) THEN
[736]	1159
[940]	1160	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
[736]	1161	!
[1001]	1162	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1163	sbt = 1.0_wp
[940]	1164	ENDIF
[1337]	1165	tend = 0.0_wp
[940]	1166	CALL advec_s_bc( pt, 'pt' )
[1001]	1167
[736]	1168	ENDIF
[940]	1169
	1170	!
	1171	!-- pt-tendency terms with no communication
[1001]	1172	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1173	tend = 0.0_wp
[1001]	1174	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[940]	1175	IF ( ws_scheme_sca ) THEN
	1176	CALL advec_s_ws( pt, 'pt' )
	1177	ELSE
	1178	CALL advec_s_pw( pt )
	1179	ENDIF
	1180	ELSE
[1001]	1181	CALL advec_s_up( pt )
[940]	1182	ENDIF
[736]	1183	ENDIF
	1184
[1001]	1185	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
	1186
[736]	1187	!
[940]	1188	!-- If required compute heating/cooling due to long wave radiation processes
	1189	IF ( radiation ) THEN
	1190	CALL calc_radiation
	1191	ENDIF
[736]	1192
	1193	!
[940]	1194	!-- If required compute impact of latent heat due to precipitation
[1361]	1195	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[940]	1196	CALL impact_of_latent_heat
	1197	ENDIF
[736]	1198
	1199	!
[940]	1200	!-- Consideration of heat sources within the plant canopy
[1337]	1201	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[940]	1202	CALL plant_canopy_model( 4 )
	1203	ENDIF
[736]	1204
[940]	1205	!
[1365]	1206	!-- Large scale advection
	1207	IF ( large_scale_forcing ) THEN
	1208	CALL ls_advec( simulated_time, 'pt' )
	1209	ENDIF
	1210
	1211	!
[940]	1212	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1213	IF ( large_scale_subsidence .AND. &
	1214	.NOT. use_subsidence_tendencies ) THEN
	1215	CALL subsidence( tend, pt, pt_init, 2 )
[940]	1216	ENDIF
[736]	1217
[1241]	1218	!
	1219	!-- Nudging
	1220	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	1221
[940]	1222	CALL user_actions( 'pt-tendency' )
[736]	1223
	1224	!
[940]	1225	!-- Prognostic equation for potential temperature
	1226	DO i = nxl, nxr
	1227	DO j = nys, nyn
	1228	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1229	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1230	tsc(3) * tpt_m(k,j,i) ) &
	1231	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	1232	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
[940]	1233	ENDDO
[736]	1234	ENDDO
	1235	ENDDO
	1236
	1237	!
[940]	1238	!-- Calculate tendencies for the next Runge-Kutta step
	1239	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1240	IF ( intermediate_timestep_count == 1 ) THEN
	1241	DO i = nxl, nxr
	1242	DO j = nys, nyn
	1243	DO k = nzb_s_inner(j,i)+1, nzt
	1244	tpt_m(k,j,i) = tend(k,j,i)
	1245	ENDDO
[736]	1246	ENDDO
	1247	ENDDO
[940]	1248	ELSEIF ( intermediate_timestep_count < &
	1249	intermediate_timestep_count_max ) THEN
	1250	DO i = nxl, nxr
	1251	DO j = nys, nyn
	1252	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1253	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1254	5.3125_wp * tpt_m(k,j,i)
[940]	1255	ENDDO
[736]	1256	ENDDO
	1257	ENDDO
[940]	1258	ENDIF
[736]	1259	ENDIF
[940]	1260
	1261	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	1262
[736]	1263	ENDIF
	1264
	1265	!
	1266	!-- If required, compute prognostic equation for salinity
	1267	IF ( ocean ) THEN
	1268
	1269	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	1270
	1271	!
	1272	!-- sa-tendency terms with communication
	1273	sbt = tsc(2)
	1274	IF ( scalar_advec == 'bc-scheme' ) THEN
	1275
	1276	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1277	!
[1001]	1278	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1279	sbt = 1.0_wp
[736]	1280	ENDIF
[1337]	1281	tend = 0.0_wp
[736]	1282	CALL advec_s_bc( sa, 'sa' )
[1001]	1283
[736]	1284	ENDIF
	1285
	1286	!
	1287	!-- sa-tendency terms with no communication
[1001]	1288	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1353]	1289	tend = 0.0_wp
[1001]	1290	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1291	IF ( ws_scheme_sca ) THEN
	1292	CALL advec_s_ws( sa, 'sa' )
	1293	ELSE
	1294	CALL advec_s_pw( sa )
	1295	ENDIF
	1296	ELSE
[1001]	1297	CALL advec_s_up( sa )
[736]	1298	ENDIF
	1299	ENDIF
[1001]	1300
	1301	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
[736]	1302
	1303	CALL user_actions( 'sa-tendency' )
	1304
	1305	!
	1306	!-- Prognostic equation for salinity
	1307	DO i = nxl, nxr
	1308	DO j = nys, nyn
	1309	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1310	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1311	tsc(3) * tsa_m(k,j,i) ) &
	1312	- tsc(5) * rdf_sc(k) * &
	1313	( sa(k,j,i) - sa_init(k) )
[1337]	1314	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[736]	1315	ENDDO
	1316	ENDDO
	1317	ENDDO
	1318
	1319	!
	1320	!-- Calculate tendencies for the next Runge-Kutta step
	1321	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1322	IF ( intermediate_timestep_count == 1 ) THEN
	1323	DO i = nxl, nxr
	1324	DO j = nys, nyn
	1325	DO k = nzb_s_inner(j,i)+1, nzt
	1326	tsa_m(k,j,i) = tend(k,j,i)
	1327	ENDDO
	1328	ENDDO
	1329	ENDDO
	1330	ELSEIF ( intermediate_timestep_count < &
	1331	intermediate_timestep_count_max ) THEN
	1332	DO i = nxl, nxr
	1333	DO j = nys, nyn
	1334	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1335	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
	1336	5.3125_wp * tsa_m(k,j,i)
[736]	1337	ENDDO
	1338	ENDDO
	1339	ENDDO
	1340	ENDIF
	1341	ENDIF
	1342
	1343	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	1344
	1345	!
	1346	!-- Calculate density by the equation of state for seawater
	1347	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	1348	CALL eqn_state_seawater
	1349	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	1350
	1351	ENDIF
	1352
	1353	!
	1354	!-- If required, compute prognostic equation for total water content / scalar
	1355	IF ( humidity .OR. passive_scalar ) THEN
	1356
	1357	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	1358
	1359	!
	1360	!-- Scalar/q-tendency terms with communication
	1361	sbt = tsc(2)
	1362	IF ( scalar_advec == 'bc-scheme' ) THEN
	1363
	1364	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1365	!
[1001]	1366	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1367	sbt = 1.0_wp
[736]	1368	ENDIF
[1337]	1369	tend = 0.0_wp
[736]	1370	CALL advec_s_bc( q, 'q' )
[1001]	1371
[736]	1372	ENDIF
	1373
	1374	!
	1375	!-- Scalar/q-tendency terms with no communication
[1001]	1376	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1377	tend = 0.0_wp
[1001]	1378	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1379	IF ( ws_scheme_sca ) THEN
	1380	CALL advec_s_ws( q, 'q' )
	1381	ELSE
	1382	CALL advec_s_pw( q )
	1383	ENDIF
	1384	ELSE
[1001]	1385	CALL advec_s_up( q )
[736]	1386	ENDIF
	1387	ENDIF
[1001]	1388
	1389	CALL diffusion_s( q, qsws, qswst, wall_qflux )
[736]	1390
	1391	!
	1392	!-- If required compute decrease of total water content due to
	1393	!-- precipitation
[1361]	1394	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[736]	1395	CALL calc_precipitation
	1396	ENDIF
	1397
	1398	!
	1399	!-- Sink or source of scalar concentration due to canopy elements
	1400	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
[1365]	1401
[736]	1402	!
[1365]	1403	!-- Large scale advection
	1404	IF ( large_scale_forcing ) THEN
	1405	CALL ls_advec( simulated_time, 'q' )
	1406	ENDIF
	1407
	1408	!
[736]	1409	!-- If required compute influence of large-scale subsidence/ascent
[1365]	1410	IF ( large_scale_subsidence .AND. &
	1411	.NOT. use_subsidence_tendencies ) THEN
	1412	CALL subsidence( tend, q, q_init, 3 )
[736]	1413	ENDIF
	1414
[1241]	1415	!
	1416	!-- Nudging
	1417	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	1418
[736]	1419	CALL user_actions( 'q-tendency' )
	1420
	1421	!
	1422	!-- Prognostic equation for total water content / scalar
	1423	DO i = nxl, nxr
	1424	DO j = nys, nyn
	1425	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1426	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1427	tsc(3) * tq_m(k,j,i) ) &
	1428	- tsc(5) * rdf_sc(k) * &
	1429	( q(k,j,i) - q_init(k) )
[1337]	1430	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[736]	1431	ENDDO
	1432	ENDDO
	1433	ENDDO
	1434
	1435	!
	1436	!-- Calculate tendencies for the next Runge-Kutta step
	1437	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1438	IF ( intermediate_timestep_count == 1 ) THEN
	1439	DO i = nxl, nxr
	1440	DO j = nys, nyn
	1441	DO k = nzb_s_inner(j,i)+1, nzt
	1442	tq_m(k,j,i) = tend(k,j,i)
	1443	ENDDO
	1444	ENDDO
	1445	ENDDO
	1446	ELSEIF ( intermediate_timestep_count < &
	1447	intermediate_timestep_count_max ) THEN
	1448	DO i = nxl, nxr
	1449	DO j = nys, nyn
	1450	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1451	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[736]	1452	ENDDO
	1453	ENDDO
	1454	ENDDO
	1455	ENDIF
	1456	ENDIF
	1457
	1458	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	1459
[1361]	1460	!
	1461	!-- If required, calculate prognostic equations for rain water content
	1462	!-- and rain drop concentration
	1463	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	1464
	1465	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	1466
	1467	!
	1468	!-- Calculate prognostic equation for rain water content
	1469	sbt = tsc(2)
	1470	IF ( scalar_advec == 'bc-scheme' ) THEN
	1471
	1472	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1473	!
	1474	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1475	sbt = 1.0_wp
	1476	ENDIF
	1477	tend = 0.0_wp
	1478	CALL advec_s_bc( qr, 'qr' )
	1479
	1480	ENDIF
	1481
	1482	!
	1483	!-- qr-tendency terms with no communication
	1484	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1485	tend = 0.0_wp
	1486	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1487	IF ( ws_scheme_sca ) THEN
	1488	CALL advec_s_ws( qr, 'qr' )
	1489	ELSE
	1490	CALL advec_s_pw( qr )
	1491	ENDIF
	1492	ELSE
	1493	CALL advec_s_up( qr )
	1494	ENDIF
	1495	ENDIF
	1496
	1497	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	1498
	1499	CALL user_actions( 'qr-tendency' )
	1500
	1501	!
	1502	!-- Prognostic equation for rain water content
	1503	DO i = nxl, nxr
	1504	DO j = nys, nyn
	1505	DO k = nzb_s_inner(j,i)+1, nzt
	1506	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1507	tsc(3) * tqr_m(k,j,i) ) &
	1508	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	1509	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	1510	ENDDO
	1511	ENDDO
	1512	ENDDO
	1513
	1514	!
	1515	!-- Calculate tendencies for the next Runge-Kutta step
	1516	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1517	IF ( intermediate_timestep_count == 1 ) THEN
	1518	DO i = nxl, nxr
	1519	DO j = nys, nyn
	1520	DO k = nzb_s_inner(j,i)+1, nzt
	1521	tqr_m(k,j,i) = tend(k,j,i)
	1522	ENDDO
	1523	ENDDO
	1524	ENDDO
	1525	ELSEIF ( intermediate_timestep_count < &
	1526	intermediate_timestep_count_max ) 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) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1531	tqr_m(k,j,i)
	1532	ENDDO
	1533	ENDDO
	1534	ENDDO
	1535	ENDIF
	1536	ENDIF
	1537
	1538	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	1539	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	1540
	1541	!
	1542	!-- Calculate prognostic equation for rain drop concentration
	1543	sbt = tsc(2)
	1544	IF ( scalar_advec == 'bc-scheme' ) THEN
	1545
	1546	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1547	!
	1548	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	1549	sbt = 1.0_wp
	1550	ENDIF
	1551	tend = 0.0_wp
	1552	CALL advec_s_bc( nr, 'nr' )
	1553
	1554	ENDIF
	1555
	1556	!
	1557	!-- nr-tendency terms with no communication
	1558	IF ( scalar_advec /= 'bc-scheme' ) THEN
	1559	tend = 0.0_wp
	1560	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1561	IF ( ws_scheme_sca ) THEN
	1562	CALL advec_s_ws( nr, 'nr' )
	1563	ELSE
	1564	CALL advec_s_pw( nr )
	1565	ENDIF
	1566	ELSE
	1567	CALL advec_s_up( nr )
	1568	ENDIF
	1569	ENDIF
	1570
	1571	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	1572
	1573	CALL user_actions( 'nr-tendency' )
	1574
	1575	!
	1576	!-- Prognostic equation for rain drop concentration
	1577	DO i = nxl, nxr
	1578	DO j = nys, nyn
	1579	DO k = nzb_s_inner(j,i)+1, nzt
	1580	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1581	tsc(3) * tnr_m(k,j,i) ) &
	1582	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	1583	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	1584	ENDDO
	1585	ENDDO
	1586	ENDDO
	1587
	1588	!
	1589	!-- Calculate tendencies for the next Runge-Kutta step
	1590	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1591	IF ( intermediate_timestep_count == 1 ) THEN
	1592	DO i = nxl, nxr
	1593	DO j = nys, nyn
	1594	DO k = nzb_s_inner(j,i)+1, nzt
	1595	tnr_m(k,j,i) = tend(k,j,i)
	1596	ENDDO
	1597	ENDDO
	1598	ENDDO
	1599	ELSEIF ( intermediate_timestep_count < &
	1600	intermediate_timestep_count_max ) 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) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	1605	tnr_m(k,j,i)
	1606	ENDDO
	1607	ENDDO
	1608	ENDDO
	1609	ENDIF
	1610	ENDIF
	1611
	1612	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	1613
	1614	ENDIF
	1615
[736]	1616	ENDIF
	1617
	1618	!
	1619	!-- If required, compute prognostic equation for turbulent kinetic
	1620	!-- energy (TKE)
	1621	IF ( .NOT. constant_diffusion ) THEN
	1622
	1623	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	1624
	1625	sbt = tsc(2)
	1626	IF ( .NOT. use_upstream_for_tke ) THEN
	1627	IF ( scalar_advec == 'bc-scheme' ) THEN
	1628
	1629	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1630	!
[1001]	1631	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	1632	sbt = 1.0_wp
[736]	1633	ENDIF
[1337]	1634	tend = 0.0_wp
[736]	1635	CALL advec_s_bc( e, 'e' )
[1001]	1636
[736]	1637	ENDIF
	1638	ENDIF
	1639
	1640	!
	1641	!-- TKE-tendency terms with no communication
[1001]	1642	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
[736]	1643	IF ( use_upstream_for_tke ) THEN
[1337]	1644	tend = 0.0_wp
[736]	1645	CALL advec_s_up( e )
	1646	ELSE
[1337]	1647	tend = 0.0_wp
[1001]	1648	IF ( timestep_scheme(1:5) == 'runge' ) THEN
[736]	1649	IF ( ws_scheme_sca ) THEN
	1650	CALL advec_s_ws( e, 'e' )
	1651	ELSE
	1652	CALL advec_s_pw( e )
	1653	ENDIF
	1654	ELSE
[1001]	1655	CALL advec_s_up( e )
[736]	1656	ENDIF
	1657	ENDIF
[1001]	1658	ENDIF
	1659
	1660	IF ( .NOT. humidity ) THEN
	1661	IF ( ocean ) THEN
	1662	CALL diffusion_e( prho, prho_reference )
[736]	1663	ELSE
[1001]	1664	CALL diffusion_e( pt, pt_reference )
[736]	1665	ENDIF
[1001]	1666	ELSE
	1667	CALL diffusion_e( vpt, pt_reference )
[736]	1668	ENDIF
[1001]	1669
[736]	1670	CALL production_e
	1671
	1672	!
	1673	!-- Additional sink term for flows through plant canopies
	1674	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	1675	CALL user_actions( 'e-tendency' )
	1676
	1677	!
	1678	!-- Prognostic equation for TKE.
	1679	!-- Eliminate negative TKE values, which can occur due to numerical
	1680	!-- reasons in the course of the integration. In such cases the old TKE
	1681	!-- value is reduced by 90%.
	1682	DO i = nxl, nxr
	1683	DO j = nys, nyn
	1684	DO k = nzb_s_inner(j,i)+1, nzt
[1001]	1685	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	1686	tsc(3) * te_m(k,j,i) )
[1337]	1687	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[736]	1688	ENDDO
	1689	ENDDO
	1690	ENDDO
	1691
	1692	!
	1693	!-- Calculate tendencies for the next Runge-Kutta step
	1694	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1695	IF ( intermediate_timestep_count == 1 ) THEN
	1696	DO i = nxl, nxr
	1697	DO j = nys, nyn
	1698	DO k = nzb_s_inner(j,i)+1, nzt
	1699	te_m(k,j,i) = tend(k,j,i)
	1700	ENDDO
	1701	ENDDO
	1702	ENDDO
	1703	ELSEIF ( intermediate_timestep_count < &
	1704	intermediate_timestep_count_max ) THEN
	1705	DO i = nxl, nxr
	1706	DO j = nys, nyn
	1707	DO k = nzb_s_inner(j,i)+1, nzt
[1337]	1708	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[736]	1709	ENDDO
	1710	ENDDO
	1711	ENDDO
	1712	ENDIF
	1713	ENDIF
	1714
	1715	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	1716
	1717	ENDIF
	1718
	1719	END SUBROUTINE prognostic_equations_vector
	1720
	1721
[1015]	1722	SUBROUTINE prognostic_equations_acc
	1723
	1724	!------------------------------------------------------------------------------!
	1725	! Version for accelerator boards
	1726	!------------------------------------------------------------------------------!
	1727
	1728	IMPLICIT NONE
	1729
[1320]	1730	INTEGER(iwp) :: i !:
	1731	INTEGER(iwp) :: j !:
	1732	INTEGER(iwp) :: k !:
	1733	INTEGER(iwp) :: runge_step !:
[1015]	1734
[1320]	1735	REAL(wp) :: sbt !:
	1736
[1015]	1737	!
	1738	!-- Set switch for intermediate Runge-Kutta step
	1739	runge_step = 0
	1740	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1741	IF ( intermediate_timestep_count == 1 ) THEN
	1742	runge_step = 1
	1743	ELSEIF ( intermediate_timestep_count < &
	1744	intermediate_timestep_count_max ) THEN
	1745	runge_step = 2
	1746	ENDIF
	1747	ENDIF
	1748
	1749	!
[1361]	1750	!-- If required, calculate cloud microphysical impacts (two-moment scheme)
	1751	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	1752	( intermediate_timestep_count == 1 .OR. &
	1753	call_microphysics_at_all_substeps ) &
	1754	) THEN
	1755	CALL cpu_log( log_point(51), 'microphysics', 'start' )
	1756	CALL microphysics_control
	1757	CALL cpu_log( log_point(51), 'microphysics', 'stop' )
	1758	ENDIF
	1759
	1760	!
[1015]	1761	!-- u-velocity component
[1374]	1762	!++ Statistics still not completely ported to accelerators
[1179]	1763	!$acc update device( hom, ref_state )
[1015]	1764	CALL cpu_log( log_point(5), 'u-equation', 'start' )
	1765
	1766	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1767	IF ( ws_scheme_mom ) THEN
	1768	CALL advec_u_ws_acc
	1769	ELSE
[1337]	1770	tend = 0.0_wp ! to be removed later??
[1015]	1771	CALL advec_u_pw
	1772	ENDIF
	1773	ELSE
	1774	CALL advec_u_up
	1775	ENDIF
	1776	CALL diffusion_u_acc
	1777	CALL coriolis_acc( 1 )
	1778	IF ( sloping_surface .AND. .NOT. neutral ) THEN
[1179]	1779	CALL buoyancy( pt, 1 )
[1015]	1780	ENDIF
	1781
	1782	!
	1783	!-- Drag by plant canopy
	1784	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
	1785
	1786	!
	1787	!-- External pressure gradient
	1788	IF ( dp_external ) THEN
[1128]	1789	DO i = i_left, i_right
	1790	DO j = j_south, j_north
[1015]	1791	DO k = dp_level_ind_b+1, nzt
	1792	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
	1793	ENDDO
	1794	ENDDO
	1795	ENDDO
	1796	ENDIF
	1797
[1246]	1798	!
	1799	!-- Nudging
	1800	IF ( nudging ) CALL nudge( simulated_time, 'u' )
	1801
[1015]	1802	CALL user_actions( 'u-tendency' )
	1803
	1804	!
	1805	!-- Prognostic equation for u-velocity component
	1806	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, ug, u_p )
[1257]	1807	!$acc loop independent
[1128]	1808	DO i = i_left, i_right
[1257]	1809	!$acc loop independent
[1128]	1810	DO j = j_south, j_north
[1257]	1811	!$acc loop independent
[1015]	1812	DO k = 1, nzt
	1813	IF ( k > nzb_u_inner(j,i) ) THEN
	1814	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1815	tsc(3) * tu_m(k,j,i) ) &
	1816	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
	1817	!
	1818	!-- Tendencies for the next Runge-Kutta step
	1819	IF ( runge_step == 1 ) THEN
	1820	tu_m(k,j,i) = tend(k,j,i)
	1821	ELSEIF ( runge_step == 2 ) THEN
[1337]	1822	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i)
[1015]	1823	ENDIF
	1824	ENDIF
	1825	ENDDO
	1826	ENDDO
	1827	ENDDO
	1828	!$acc end kernels
	1829
	1830	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
	1831
	1832	!
	1833	!-- v-velocity component
	1834	CALL cpu_log( log_point(6), 'v-equation', 'start' )
	1835
	1836	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1837	IF ( ws_scheme_mom ) THEN
	1838	CALL advec_v_ws_acc
	1839	ELSE
[1337]	1840	tend = 0.0_wp ! to be removed later??
[1015]	1841	CALL advec_v_pw
	1842	END IF
	1843	ELSE
	1844	CALL advec_v_up
	1845	ENDIF
	1846	CALL diffusion_v_acc
	1847	CALL coriolis_acc( 2 )
	1848
	1849	!
	1850	!-- Drag by plant canopy
	1851	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
	1852
	1853	!
	1854	!-- External pressure gradient
	1855	IF ( dp_external ) THEN
[1128]	1856	DO i = i_left, i_right
	1857	DO j = j_south, j_north
[1015]	1858	DO k = dp_level_ind_b+1, nzt
	1859	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
	1860	ENDDO
	1861	ENDDO
	1862	ENDDO
	1863	ENDIF
	1864
[1246]	1865	!
	1866	!-- Nudging
	1867	IF ( nudging ) CALL nudge( simulated_time, 'v' )
	1868
[1015]	1869	CALL user_actions( 'v-tendency' )
	1870
	1871	!
	1872	!-- Prognostic equation for v-velocity component
	1873	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, vg, v_p )
[1257]	1874	!$acc loop independent
[1128]	1875	DO i = i_left, i_right
[1257]	1876	!$acc loop independent
[1128]	1877	DO j = j_south, j_north
[1257]	1878	!$acc loop independent
[1015]	1879	DO k = 1, nzt
	1880	IF ( k > nzb_v_inner(j,i) ) THEN
	1881	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1882	tsc(3) * tv_m(k,j,i) ) &
	1883	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
	1884	!
	1885	!-- Tendencies for the next Runge-Kutta step
	1886	IF ( runge_step == 1 ) THEN
	1887	tv_m(k,j,i) = tend(k,j,i)
	1888	ELSEIF ( runge_step == 2 ) THEN
[1337]	1889	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i)
[1015]	1890	ENDIF
	1891	ENDIF
	1892	ENDDO
	1893	ENDDO
	1894	ENDDO
	1895	!$acc end kernels
	1896
	1897	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
	1898
	1899	!
	1900	!-- w-velocity component
	1901	CALL cpu_log( log_point(7), 'w-equation', 'start' )
	1902
	1903	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1904	IF ( ws_scheme_mom ) THEN
	1905	CALL advec_w_ws_acc
	1906	ELSE
[1337]	1907	tend = 0.0_wp ! to be removed later??
[1015]	1908	CALL advec_w_pw
	1909	ENDIF
	1910	ELSE
	1911	CALL advec_w_up
	1912	ENDIF
	1913	CALL diffusion_w_acc
	1914	CALL coriolis_acc( 3 )
	1915
	1916	IF ( .NOT. neutral ) THEN
	1917	IF ( ocean ) THEN
[1179]	1918	CALL buoyancy( rho, 3 )
[1015]	1919	ELSE
	1920	IF ( .NOT. humidity ) THEN
[1179]	1921	CALL buoyancy_acc( pt, 3 )
[1015]	1922	ELSE
[1179]	1923	CALL buoyancy( vpt, 3 )
[1015]	1924	ENDIF
	1925	ENDIF
	1926	ENDIF
	1927
	1928	!
	1929	!-- Drag by plant canopy
	1930	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
	1931
	1932	CALL user_actions( 'w-tendency' )
	1933
	1934	!
	1935	!-- Prognostic equation for w-velocity component
	1936	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
[1257]	1937	!$acc loop independent
[1128]	1938	DO i = i_left, i_right
[1257]	1939	!$acc loop independent
[1128]	1940	DO j = j_south, j_north
[1257]	1941	!$acc loop independent
[1015]	1942	DO k = 1, nzt-1
	1943	IF ( k > nzb_w_inner(j,i) ) THEN
	1944	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
	1945	tsc(3) * tw_m(k,j,i) ) &
	1946	- tsc(5) * rdf(k) * w(k,j,i)
	1947	!
	1948	!-- Tendencies for the next Runge-Kutta step
	1949	IF ( runge_step == 1 ) THEN
	1950	tw_m(k,j,i) = tend(k,j,i)
	1951	ELSEIF ( runge_step == 2 ) THEN
[1337]	1952	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i)
[1015]	1953	ENDIF
	1954	ENDIF
	1955	ENDDO
	1956	ENDDO
	1957	ENDDO
	1958	!$acc end kernels
	1959
	1960	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
	1961
	1962
	1963	!
	1964	!-- If required, compute prognostic equation for potential temperature
	1965	IF ( .NOT. neutral ) THEN
	1966
	1967	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
	1968
	1969	!
	1970	!-- pt-tendency terms with communication
	1971	sbt = tsc(2)
	1972	IF ( scalar_advec == 'bc-scheme' ) THEN
	1973
	1974	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	1975	!
	1976	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1353]	1977	sbt = 1.0_wp
[1015]	1978	ENDIF
[1337]	1979	tend = 0.0_wp
[1015]	1980	CALL advec_s_bc( pt, 'pt' )
	1981
	1982	ENDIF
	1983
	1984	!
	1985	!-- pt-tendency terms with no communication
	1986	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	1987	tend = 0.0_wp
[1015]	1988	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	1989	IF ( ws_scheme_sca ) THEN
	1990	CALL advec_s_ws_acc( pt, 'pt' )
	1991	ELSE
[1337]	1992	tend = 0.0_wp ! to be removed later??
[1015]	1993	CALL advec_s_pw( pt )
	1994	ENDIF
	1995	ELSE
	1996	CALL advec_s_up( pt )
	1997	ENDIF
	1998	ENDIF
	1999
	2000	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
	2001
	2002	!
	2003	!-- If required compute heating/cooling due to long wave radiation processes
	2004	IF ( radiation ) THEN
	2005	CALL calc_radiation
	2006	ENDIF
	2007
	2008	!
	2009	!-- If required compute impact of latent heat due to precipitation
[1361]	2010	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2011	CALL impact_of_latent_heat
	2012	ENDIF
	2013
	2014	!
	2015	!-- Consideration of heat sources within the plant canopy
[1337]	2016	IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN
[1015]	2017	CALL plant_canopy_model( 4 )
	2018	ENDIF
	2019
	2020	!
[1365]	2021	!-- Large scale advection
	2022	IF ( large_scale_forcing ) THEN
	2023	CALL ls_advec( simulated_time, 'pt' )
	2024	ENDIF
	2025
	2026	!
[1015]	2027	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2028	IF ( large_scale_subsidence .AND. &
	2029	.NOT. use_subsidence_tendencies ) THEN
	2030	CALL subsidence( tend, pt, pt_init, 2 )
[1015]	2031	ENDIF
	2032
[1246]	2033	!
	2034	!-- Nudging
	2035	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
	2036
[1015]	2037	CALL user_actions( 'pt-tendency' )
	2038
	2039	!
	2040	!-- Prognostic equation for potential temperature
	2041	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
	2042	!$acc present( tend, tpt_m, pt, pt_p )
[1257]	2043	!$acc loop independent
[1128]	2044	DO i = i_left, i_right
[1257]	2045	!$acc loop independent
[1128]	2046	DO j = j_south, j_north
[1257]	2047	!$acc loop independent
[1015]	2048	DO k = 1, nzt
	2049	IF ( k > nzb_s_inner(j,i) ) THEN
	2050	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2051	tsc(3) * tpt_m(k,j,i) ) &
	2052	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
	2053	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
	2054	!
	2055	!-- Tendencies for the next Runge-Kutta step
	2056	IF ( runge_step == 1 ) THEN
	2057	tpt_m(k,j,i) = tend(k,j,i)
	2058	ELSEIF ( runge_step == 2 ) THEN
[1337]	2059	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tpt_m(k,j,i)
[1015]	2060	ENDIF
	2061	ENDIF
	2062	ENDDO
	2063	ENDDO
	2064	ENDDO
	2065	!$acc end kernels
	2066
	2067	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
	2068
	2069	ENDIF
	2070
	2071	!
	2072	!-- If required, compute prognostic equation for salinity
	2073	IF ( ocean ) THEN
	2074
	2075	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
	2076
	2077	!
	2078	!-- sa-tendency terms with communication
	2079	sbt = tsc(2)
	2080	IF ( scalar_advec == 'bc-scheme' ) THEN
	2081
	2082	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2083	!
	2084	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2085	sbt = 1.0_wp
[1015]	2086	ENDIF
[1337]	2087	tend = 0.0_wp
[1015]	2088	CALL advec_s_bc( sa, 'sa' )
	2089
	2090	ENDIF
	2091
	2092	!
	2093	!-- sa-tendency terms with no communication
	2094	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2095	tend = 0.0_wp
[1015]	2096	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2097	IF ( ws_scheme_sca ) THEN
	2098	CALL advec_s_ws( sa, 'sa' )
	2099	ELSE
	2100	CALL advec_s_pw( sa )
	2101	ENDIF
	2102	ELSE
	2103	CALL advec_s_up( sa )
	2104	ENDIF
	2105	ENDIF
	2106
	2107	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
	2108
	2109	CALL user_actions( 'sa-tendency' )
	2110
	2111	!
	2112	!-- Prognostic equation for salinity
[1128]	2113	DO i = i_left, i_right
	2114	DO j = j_south, j_north
[1015]	2115	DO k = nzb_s_inner(j,i)+1, nzt
	2116	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2117	tsc(3) * tsa_m(k,j,i) ) &
	2118	- tsc(5) * rdf_sc(k) * &
	2119	( sa(k,j,i) - sa_init(k) )
[1337]	2120	IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i)
[1015]	2121	!
	2122	!-- Tendencies for the next Runge-Kutta step
	2123	IF ( runge_step == 1 ) THEN
	2124	tsa_m(k,j,i) = tend(k,j,i)
	2125	ELSEIF ( runge_step == 2 ) THEN
[1337]	2126	tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tsa_m(k,j,i)
[1015]	2127	ENDIF
	2128	ENDDO
	2129	ENDDO
	2130	ENDDO
	2131
	2132	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
	2133
	2134	!
	2135	!-- Calculate density by the equation of state for seawater
	2136	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
	2137	CALL eqn_state_seawater
	2138	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
	2139
	2140	ENDIF
	2141
	2142	!
	2143	!-- If required, compute prognostic equation for total water content / scalar
	2144	IF ( humidity .OR. passive_scalar ) THEN
	2145
	2146	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
	2147
	2148	!
	2149	!-- Scalar/q-tendency terms with communication
	2150	sbt = tsc(2)
	2151	IF ( scalar_advec == 'bc-scheme' ) THEN
	2152
	2153	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2154	!
	2155	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2156	sbt = 1.0_wp
[1015]	2157	ENDIF
[1337]	2158	tend = 0.0_wp
[1015]	2159	CALL advec_s_bc( q, 'q' )
	2160
	2161	ENDIF
	2162
	2163	!
	2164	!-- Scalar/q-tendency terms with no communication
	2165	IF ( scalar_advec /= 'bc-scheme' ) THEN
[1337]	2166	tend = 0.0_wp
[1015]	2167	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2168	IF ( ws_scheme_sca ) THEN
	2169	CALL advec_s_ws( q, 'q' )
	2170	ELSE
	2171	CALL advec_s_pw( q )
	2172	ENDIF
	2173	ELSE
	2174	CALL advec_s_up( q )
	2175	ENDIF
	2176	ENDIF
	2177
	2178	CALL diffusion_s( q, qsws, qswst, wall_qflux )
	2179
	2180	!
	2181	!-- If required compute decrease of total water content due to
	2182	!-- precipitation
[1361]	2183	IF ( cloud_physics .AND. icloud_scheme == 1 .AND. precipitation ) THEN
[1015]	2184	CALL calc_precipitation
	2185	ENDIF
	2186
	2187	!
	2188	!-- Sink or source of scalar concentration due to canopy elements
	2189	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
	2190
	2191	!
[1365]	2192	!-- Large scale advection
	2193	IF ( large_scale_forcing ) THEN
	2194	CALL ls_advec( simulated_time, 'q' )
	2195	ENDIF
	2196
	2197	!
[1015]	2198	!-- If required compute influence of large-scale subsidence/ascent
[1365]	2199	IF ( large_scale_subsidence .AND. &
	2200	.NOT. use_subsidence_tendencies ) THEN
	2201	CALL subsidence( tend, q, q_init, 3 )
[1015]	2202	ENDIF
	2203
[1246]	2204	!
	2205	!-- Nudging
	2206	IF ( nudging ) CALL nudge( simulated_time, 'q' )
	2207
[1015]	2208	CALL user_actions( 'q-tendency' )
	2209
	2210	!
	2211	!-- Prognostic equation for total water content / scalar
[1128]	2212	DO i = i_left, i_right
	2213	DO j = j_south, j_north
[1015]	2214	DO k = nzb_s_inner(j,i)+1, nzt
	2215	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2216	tsc(3) * tq_m(k,j,i) ) &
	2217	- tsc(5) * rdf_sc(k) * &
	2218	( q(k,j,i) - q_init(k) )
[1337]	2219	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
[1015]	2220	!
	2221	!-- Tendencies for the next Runge-Kutta step
	2222	IF ( runge_step == 1 ) THEN
	2223	tq_m(k,j,i) = tend(k,j,i)
	2224	ELSEIF ( runge_step == 2 ) THEN
[1337]	2225	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i)
[1015]	2226	ENDIF
	2227	ENDDO
	2228	ENDDO
	2229	ENDDO
	2230
	2231	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
	2232
[1361]	2233	!
	2234	!-- If required, calculate prognostic equations for rain water content
	2235	!-- and rain drop concentration
	2236	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
	2237
	2238	CALL cpu_log( log_point(52), 'qr-equation', 'start' )
	2239	!
	2240	!-- qr-tendency terms with communication
	2241	sbt = tsc(2)
	2242	IF ( scalar_advec == 'bc-scheme' ) THEN
	2243
	2244	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2245	!
	2246	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2247	sbt = 1.0_wp
	2248	ENDIF
	2249	tend = 0.0_wp
	2250	CALL advec_s_bc( qr, 'qr' )
	2251
	2252	ENDIF
	2253
	2254	!
	2255	!-- qr-tendency terms with no communication
	2256	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2257	tend = 0.0_wp
	2258	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2259	IF ( ws_scheme_sca ) THEN
	2260	CALL advec_s_ws( qr, 'qr' )
	2261	ELSE
	2262	CALL advec_s_pw( qr )
	2263	ENDIF
	2264	ELSE
	2265	CALL advec_s_up( qr )
	2266	ENDIF
	2267	ENDIF
	2268
	2269	CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux )
	2270
	2271	CALL user_actions( 'qr-tendency' )
	2272
	2273	!
	2274	!-- Prognostic equation for rain water content
	2275	DO i = i_left, i_right
	2276	DO j = j_south, j_north
	2277	DO k = nzb_s_inner(j,i)+1, nzt
	2278	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2279	tsc(3) * tqr_m(k,j,i) ) &
	2280	- tsc(5) * rdf_sc(k) * qr(k,j,i)
	2281	IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp
	2282	!
	2283	!-- Tendencies for the next Runge-Kutta step
	2284	IF ( runge_step == 1 ) THEN
	2285	tqr_m(k,j,i) = tend(k,j,i)
	2286	ELSEIF ( runge_step == 2 ) THEN
	2287	tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2288	tqr_m(k,j,i)
	2289	ENDIF
	2290	ENDDO
	2291	ENDDO
	2292	ENDDO
	2293
	2294	CALL cpu_log( log_point(52), 'qr-equation', 'stop' )
	2295	CALL cpu_log( log_point(53), 'nr-equation', 'start' )
	2296
	2297	!
	2298	!-- nr-tendency terms with communication
	2299	sbt = tsc(2)
	2300	IF ( scalar_advec == 'bc-scheme' ) THEN
	2301
	2302	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2303	!
	2304	!-- Bott-Chlond scheme always uses Euler time step. Thus:
	2305	sbt = 1.0_wp
	2306	ENDIF
	2307	tend = 0.0_wp
	2308	CALL advec_s_bc( nr, 'nr' )
	2309
	2310	ENDIF
	2311
	2312	!
	2313	!-- nr-tendency terms with no communication
	2314	IF ( scalar_advec /= 'bc-scheme' ) THEN
	2315	tend = 0.0_wp
	2316	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2317	IF ( ws_scheme_sca ) THEN
	2318	CALL advec_s_ws( nr, 'nr' )
	2319	ELSE
	2320	CALL advec_s_pw( nr )
	2321	ENDIF
	2322	ELSE
	2323	CALL advec_s_up( nr )
	2324	ENDIF
	2325	ENDIF
	2326
	2327	CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux )
	2328
	2329	CALL user_actions( 'nr-tendency' )
	2330
	2331	!
	2332	!-- Prognostic equation for rain drop concentration
	2333	DO i = i_left, i_right
	2334	DO j = j_south, j_north
	2335	DO k = nzb_s_inner(j,i)+1, nzt
	2336	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2337	tsc(3) * tnr_m(k,j,i) ) &
	2338	- tsc(5) * rdf_sc(k) * nr(k,j,i)
	2339	IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp
	2340	!
	2341	!-- Tendencies for the next Runge-Kutta step
	2342	IF ( runge_step == 1 ) THEN
	2343	tnr_m(k,j,i) = tend(k,j,i)
	2344	ELSEIF ( runge_step == 2 ) THEN
	2345	tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * &
	2346	tnr_m(k,j,i)
	2347	ENDIF
	2348	ENDDO
	2349	ENDDO
	2350	ENDDO
	2351
	2352	CALL cpu_log( log_point(53), 'nr-equation', 'stop' )
	2353
	2354	ENDIF
	2355
[1015]	2356	ENDIF
	2357
	2358	!
	2359	!-- If required, compute prognostic equation for turbulent kinetic
	2360	!-- energy (TKE)
	2361	IF ( .NOT. constant_diffusion ) THEN
	2362
	2363	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
	2364
	2365	sbt = tsc(2)
	2366	IF ( .NOT. use_upstream_for_tke ) THEN
	2367	IF ( scalar_advec == 'bc-scheme' ) THEN
	2368
	2369	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
	2370	!
	2371	!-- Bott-Chlond scheme always uses Euler time step. Thus:
[1337]	2372	sbt = 1.0_wp
[1015]	2373	ENDIF
[1337]	2374	tend = 0.0_wp
[1015]	2375	CALL advec_s_bc( e, 'e' )
	2376
	2377	ENDIF
	2378	ENDIF
	2379
	2380	!
	2381	!-- TKE-tendency terms with no communication
	2382	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
	2383	IF ( use_upstream_for_tke ) THEN
[1337]	2384	tend = 0.0_wp
[1015]	2385	CALL advec_s_up( e )
	2386	ELSE
	2387	IF ( timestep_scheme(1:5) == 'runge' ) THEN
	2388	IF ( ws_scheme_sca ) THEN
	2389	CALL advec_s_ws_acc( e, 'e' )
	2390	ELSE
[1337]	2391	tend = 0.0_wp ! to be removed later??
[1015]	2392	CALL advec_s_pw( e )
	2393	ENDIF
	2394	ELSE
[1337]	2395	tend = 0.0_wp ! to be removed later??
[1015]	2396	CALL advec_s_up( e )
	2397	ENDIF
	2398	ENDIF
	2399	ENDIF
	2400
	2401	IF ( .NOT. humidity ) THEN
	2402	IF ( ocean ) THEN
	2403	CALL diffusion_e( prho, prho_reference )
	2404	ELSE
	2405	CALL diffusion_e_acc( pt, pt_reference )
	2406	ENDIF
	2407	ELSE
	2408	CALL diffusion_e( vpt, pt_reference )
	2409	ENDIF
	2410
	2411	CALL production_e_acc
	2412
	2413	!
	2414	!-- Additional sink term for flows through plant canopies
	2415	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
	2416	CALL user_actions( 'e-tendency' )
	2417
	2418	!
	2419	!-- Prognostic equation for TKE.
	2420	!-- Eliminate negative TKE values, which can occur due to numerical
	2421	!-- reasons in the course of the integration. In such cases the old TKE
	2422	!-- value is reduced by 90%.
	2423	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
[1257]	2424	!$acc loop independent
[1128]	2425	DO i = i_left, i_right
[1257]	2426	!$acc loop independent
[1128]	2427	DO j = j_south, j_north
[1257]	2428	!$acc loop independent
[1015]	2429	DO k = 1, nzt
	2430	IF ( k > nzb_s_inner(j,i) ) THEN
	2431	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
	2432	tsc(3) * te_m(k,j,i) )
[1337]	2433	IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i)
[1015]	2434	!
	2435	!-- Tendencies for the next Runge-Kutta step
	2436	IF ( runge_step == 1 ) THEN
	2437	te_m(k,j,i) = tend(k,j,i)
	2438	ELSEIF ( runge_step == 2 ) THEN
[1337]	2439	te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i)
[1015]	2440	ENDIF
	2441	ENDIF
	2442	ENDDO
	2443	ENDDO
	2444	ENDDO
	2445	!$acc end kernels
	2446
	2447	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
	2448
	2449	ENDIF
	2450
	2451	END SUBROUTINE prognostic_equations_acc
	2452
	2453
[736]	2454	END MODULE prognostic_equations_mod

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