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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1324

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

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