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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 4398

Last change on this file since 4398 was 4370, checked in by raasch, 5 years ago
bugfixes for previous commit: unused variables removed, Temperton-fft usage on GPU, openacc porting of vector version of Obukhov length calculation, collective read switched off on NEC to avoid hanging; some vector directives added in prognostic equations to force vectorization on Intel19 compiler, configuration files for NEC Aurora added
Property svn:keywords set to `Id`
File size: 59.9 KB

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1	!> @file prognostic_equations.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! 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	!
17	! Copyright 1997-2020 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: prognostic_equations.f90 4370 2020-01-10 14:00:44Z gronemeier $
27	! vector directives added to force vectorization on Intel19 compiler
28	!
29	! 4360 2020-01-07 11:25:50Z suehring
30	! Introduction of wall_flags_total_0, which currently sets bits based on static
31	! topography information used in wall_flags_static_0
32	!
33	! 4329 2019-12-10 15:46:36Z motisi
34	! Renamed wall_flags_0 to wall_flags_static_0
35	!
36	! 4182 2019-08-22 15:20:23Z scharf
37	! Corrected "Former revisions" section
38	!
39	! 4110 2019-07-22 17:05:21Z suehring
40	! pass integer flag array to WS scalar advection routine which is now necessary
41	! as the flags may differ for scalars, e.g. pt can be cyclic while chemical
42	! species may be non-cyclic. Further, pass boundary flags.
43	!
44	! 4109 2019-07-22 17:00:34Z suehring
45	! Application of monotonic flux limiter for the vertical scalar advection
46	! up to the topography top (only for the cache-optimized version at the
47	! moment). Please note, at the moment the limiter is only applied for passive
48	! scalars.
49	!
50	! 4048 2019-06-21 21:00:21Z knoop
51	! Moved tcm_prognostic_equations to module_interface
52	!
53	! 3987 2019-05-22 09:52:13Z kanani
54	! Introduce alternative switch for debug output during timestepping
55	!
56	! 3956 2019-05-07 12:32:52Z monakurppa
57	! Removed salsa calls.
58	!
59	! 3931 2019-04-24 16:34:28Z schwenkel
60	! Correct/complete module_interface introduction for chemistry model
61	!
62	! 3899 2019-04-16 14:05:27Z monakurppa
63	! Corrections in the OpenMP version of salsa
64	!
65	! 3887 2019 -04-12 08:47:41Z schwenkel
66	! Implicit Bugfix for chemistry model, loop for non_transport_physics over
67	! ghost points is avoided. Instead introducing module_interface_exchange_horiz.
68	!
69	! 3885 2019-04-11 11:29:34Z kanani
70	! Changes related to global restructuring of location messages and introduction
71	! of additional debug messages
72	!
73	! 3881 2019-04-10 09:31:22Z suehring
74	! Bugfix in OpenMP directive
75	!
76	! 3880 2019-04-08 21:43:02Z knoop
77	! Moved wtm_tendencies to module_interface_actions
78	!
79	! 3874 2019-04-08 16:53:48Z knoop
80	! Added non_transport_physics module interfaces and moved bcm code into it
81	!
82	! 3872 2019-04-08 15:03:06Z knoop
83	! Moving prognostic equations of bcm into bulk_cloud_model_mod
84	!
85	! 3864 2019-04-05 09:01:56Z monakurppa
86	! Modifications made for salsa:
87	! - salsa_prognostic_equations moved to salsa_mod (and the call to
88	! module_interface_mod)
89	! - Renamed nbins --> nbins_aerosol, ncc_tot --> ncomponents_mass and
90	! ngast --> ngases_salsa and loop indices b, c and sg to ib, ic and ig
91	!
92	! 3840 2019-03-29 10:35:52Z knoop
93	! added USE chem_gasphase_mod for nspec, nspec and spc_names
94	!
95	! 3820 2019-03-27 11:53:41Z forkel
96	! renamed do_depo to deposition_dry (ecc)
97	!
98	! 3797 2019-03-15 11:15:38Z forkel
99	! Call chem_integegrate in OpenMP loop (ketelsen)
100	!
101	!
102	! 3771 2019-02-28 12:19:33Z raasch
103	! preprocessor directivs fro rrtmg added
104	!
105	! 3761 2019-02-25 15:31:42Z raasch
106	! unused variable removed
107	!
108	! 3719 2019-02-06 13:10:18Z kanani
109	! Cleaned up chemistry cpu measurements
110	!
111	! 3684 2019-01-20 20:20:58Z knoop
112	! OpenACC port for SPEC
113	!
114	! Revision 1.1 2000/04/13 14:56:27 schroeter
115	! Initial revision
116	!
117	!
118	! Description:
119	! ------------
120	!> Solving the prognostic equations.
121	!------------------------------------------------------------------------------!
122	MODULE prognostic_equations_mod
123
124	USE advec_s_bc_mod, &
125	ONLY: advec_s_bc
126
127	USE advec_s_pw_mod, &
128	ONLY: advec_s_pw
129
130	USE advec_s_up_mod, &
131	ONLY: advec_s_up
132
133	USE advec_u_pw_mod, &
134	ONLY: advec_u_pw
135
136	USE advec_u_up_mod, &
137	ONLY: advec_u_up
138
139	USE advec_v_pw_mod, &
140	ONLY: advec_v_pw
141
142	USE advec_v_up_mod, &
143	ONLY: advec_v_up
144
145	USE advec_w_pw_mod, &
146	ONLY: advec_w_pw
147
148	USE advec_w_up_mod, &
149	ONLY: advec_w_up
150
151	USE advec_ws, &
152	ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws
153
154	USE arrays_3d, &
155	ONLY: diss_l_e, diss_l_pt, diss_l_q, &
156	diss_l_s, diss_l_sa, diss_s_e, &
157	diss_s_pt, diss_s_q, diss_s_s, diss_s_sa, &
158	e, e_p, flux_s_e, flux_s_pt, flux_s_q, &
159	flux_s_s, flux_s_sa, flux_l_e, &
160	flux_l_pt, flux_l_q, flux_l_s, &
161	flux_l_sa, pt, ptdf_x, ptdf_y, pt_init, &
162	pt_p, prho, q, q_init, q_p, rdf, rdf_sc, &
163	ref_state, rho_ocean, s, s_init, s_p, tend, te_m, &
164	tpt_m, tq_m, ts_m, tu_m, tv_m, tw_m, u, &
165	ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p
166
167	USE buoyancy_mod, &
168	ONLY: buoyancy
169
170	USE control_parameters, &
171	ONLY: bc_dirichlet_l, &
172	bc_dirichlet_n, &
173	bc_dirichlet_r, &
174	bc_dirichlet_s, &
175	bc_radiation_l, &
176	bc_radiation_n, &
177	bc_radiation_r, &
178	bc_radiation_s, &
179	constant_diffusion, &
180	debug_output_timestep, &
181	dp_external, dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, &
182	humidity, intermediate_timestep_count, &
183	intermediate_timestep_count_max, large_scale_forcing, &
184	large_scale_subsidence, &
185	monotonic_limiter_z, &
186	neutral, nudging, &
187	ocean_mode, passive_scalar, plant_canopy, pt_reference, &
188	scalar_advec, scalar_advec, simulated_time, sloping_surface, &
189	timestep_scheme, tsc, use_subsidence_tendencies, &
190	use_upstream_for_tke, wind_turbine, ws_scheme_mom, &
191	ws_scheme_sca, urban_surface, land_surface, &
192	time_since_reference_point, salsa
193
194	USE coriolis_mod, &
195	ONLY: coriolis
196
197	USE cpulog, &
198	ONLY: cpu_log, log_point, log_point_s
199
200	USE diffusion_s_mod, &
201	ONLY: diffusion_s
202
203	USE diffusion_u_mod, &
204	ONLY: diffusion_u
205
206	USE diffusion_v_mod, &
207	ONLY: diffusion_v
208
209	USE diffusion_w_mod, &
210	ONLY: diffusion_w
211
212	USE indices, &
213	ONLY: advc_flags_s, &
214	nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
215	nzb, nzt, wall_flags_total_0
216
217	USE kinds
218
219	USE lsf_nudging_mod, &
220	ONLY: ls_advec, nudge
221
222	USE module_interface, &
223	ONLY: module_interface_actions, &
224	module_interface_non_advective_processes, &
225	module_interface_exchange_horiz, &
226	module_interface_prognostic_equations
227
228	USE ocean_mod, &
229	ONLY: stokes_drift_terms, stokes_force, &
230	wave_breaking, wave_breaking_term
231
232	USE plant_canopy_model_mod, &
233	ONLY: cthf, pcm_tendency
234
235	#if defined( __rrtmg )
236	USE radiation_model_mod, &
237	ONLY: radiation, radiation_tendency, &
238	skip_time_do_radiation
239	#endif
240
241	USE statistics, &
242	ONLY: hom
243
244	USE subsidence_mod, &
245	ONLY: subsidence
246
247	USE surface_mod, &
248	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
249	surf_usm_v
250
251	IMPLICIT NONE
252
253	PRIVATE
254	PUBLIC prognostic_equations_cache, prognostic_equations_vector
255
256	INTERFACE prognostic_equations_cache
257	MODULE PROCEDURE prognostic_equations_cache
258	END INTERFACE prognostic_equations_cache
259
260	INTERFACE prognostic_equations_vector
261	MODULE PROCEDURE prognostic_equations_vector
262	END INTERFACE prognostic_equations_vector
263
264
265	CONTAINS
266
267
268	!------------------------------------------------------------------------------!
269	! Description:
270	! ------------
271	!> Version with one optimized loop over all equations. It is only allowed to
272	!> be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
273	!>
274	!> Here the calls of most subroutines are embedded in two DO loops over i and j,
275	!> so communication between CPUs is not allowed (does not make sense) within
276	!> these loops.
277	!>
278	!> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
279	!------------------------------------------------------------------------------!
280
281	SUBROUTINE prognostic_equations_cache
282
283
284	INTEGER(iwp) :: i !<
285	INTEGER(iwp) :: i_omp_start !<
286	INTEGER(iwp) :: j !<
287	INTEGER(iwp) :: k !<
288	!$ INTEGER(iwp) :: omp_get_thread_num !<
289	INTEGER(iwp) :: tn = 0 !<
290
291	LOGICAL :: loop_start !<
292
293
294	IF ( debug_output_timestep ) CALL debug_message( 'prognostic_equations_cache', 'start' )
295	!
296	!-- Time measurement can only be performed for the whole set of equations
297	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
298
299	!$OMP PARALLEL PRIVATE (i,j)
300	!$OMP DO
301	DO i = nxl, nxr
302	DO j = nys, nyn
303	!
304	!-- Calculate non advective processes for all other modules
305	CALL module_interface_non_advective_processes( i, j )
306	ENDDO
307	ENDDO
308	!
309	!-- Module Inferface for exchange horiz after non_advective_processes but before
310	!-- advection. Therefore, non_advective_processes must not run for ghost points.
311	!$OMP END PARALLEL
312	CALL module_interface_exchange_horiz()
313	!
314	!-- Loop over all prognostic equations
315	!$OMP PARALLEL PRIVATE (i,i_omp_start,j,k,loop_start,tn)
316
317	!$ tn = omp_get_thread_num()
318	loop_start = .TRUE.
319
320	!$OMP DO
321	DO i = nxl, nxr
322
323	!
324	!-- Store the first loop index. It differs for each thread and is required
325	!-- later in advec_ws
326	IF ( loop_start ) THEN
327	loop_start = .FALSE.
328	i_omp_start = i
329	ENDIF
330
331	DO j = nys, nyn
332	!
333	!-- Tendency terms for u-velocity component. Please note, in case of
334	!-- non-cyclic boundary conditions the grid point i=0 is excluded from
335	!-- the prognostic equations for the u-component.
336	IF ( i >= nxlu ) THEN
337
338	tend(:,j,i) = 0.0_wp
339	IF ( timestep_scheme(1:5) == 'runge' ) THEN
340	IF ( ws_scheme_mom ) THEN
341	CALL advec_u_ws( i, j, i_omp_start, tn )
342	ELSE
343	CALL advec_u_pw( i, j )
344	ENDIF
345	ELSE
346	CALL advec_u_up( i, j )
347	ENDIF
348	CALL diffusion_u( i, j )
349	CALL coriolis( i, j, 1 )
350	IF ( sloping_surface .AND. .NOT. neutral ) THEN
351	CALL buoyancy( i, j, pt, 1 )
352	ENDIF
353
354	!
355	!-- Drag by plant canopy
356	IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 )
357
358	!
359	!-- External pressure gradient
360	IF ( dp_external ) THEN
361	DO k = dp_level_ind_b+1, nzt
362	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
363	ENDDO
364	ENDIF
365
366	!
367	!-- Nudging
368	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
369
370	!
371	!-- Effect of Stokes drift (in ocean mode only)
372	IF ( stokes_force ) CALL stokes_drift_terms( i, j, 1 )
373
374	CALL module_interface_actions( i, j, 'u-tendency' )
375	!
376	!-- Prognostic equation for u-velocity component
377	DO k = nzb+1, nzt
378
379	u_p(k,j,i) = u(k,j,i) + ( dt_3d * &
380	( tsc(2) * tend(k,j,i) + &
381	tsc(3) * tu_m(k,j,i) ) &
382	- tsc(5) * rdf(k) &
383	* ( u(k,j,i) - u_init(k) ) &
384	) * MERGE( 1.0_wp, 0.0_wp, &
385	BTEST( wall_flags_total_0(k,j,i), 1 )&
386	)
387	ENDDO
388
389	!
390	!-- Add turbulence generated by wave breaking (in ocean mode only)
391	IF ( wave_breaking .AND. &
392	intermediate_timestep_count == intermediate_timestep_count_max )&
393	THEN
394	CALL wave_breaking_term( i, j, 1 )
395	ENDIF
396
397	!
398	!-- Calculate tendencies for the next Runge-Kutta step
399	IF ( timestep_scheme(1:5) == 'runge' ) THEN
400	IF ( intermediate_timestep_count == 1 ) THEN
401	DO k = nzb+1, nzt
402	tu_m(k,j,i) = tend(k,j,i)
403	ENDDO
404	ELSEIF ( intermediate_timestep_count < &
405	intermediate_timestep_count_max ) THEN
406	DO k = nzb+1, nzt
407	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
408	+ 5.3125_wp * tu_m(k,j,i)
409	ENDDO
410	ENDIF
411	ENDIF
412
413	ENDIF
414	!
415	!-- Tendency terms for v-velocity component. Please note, in case of
416	!-- non-cyclic boundary conditions the grid point j=0 is excluded from
417	!-- the prognostic equations for the v-component. !--
418	IF ( j >= nysv ) THEN
419
420	tend(:,j,i) = 0.0_wp
421	IF ( timestep_scheme(1:5) == 'runge' ) THEN
422	IF ( ws_scheme_mom ) THEN
423	CALL advec_v_ws( i, j, i_omp_start, tn )
424	ELSE
425	CALL advec_v_pw( i, j )
426	ENDIF
427	ELSE
428	CALL advec_v_up( i, j )
429	ENDIF
430	CALL diffusion_v( i, j )
431	CALL coriolis( i, j, 2 )
432
433	!
434	!-- Drag by plant canopy
435	IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 )
436
437	!
438	!-- External pressure gradient
439	IF ( dp_external ) THEN
440	DO k = dp_level_ind_b+1, nzt
441	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
442	ENDDO
443	ENDIF
444
445	!
446	!-- Nudging
447	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
448
449	!
450	!-- Effect of Stokes drift (in ocean mode only)
451	IF ( stokes_force ) CALL stokes_drift_terms( i, j, 2 )
452
453	CALL module_interface_actions( i, j, 'v-tendency' )
454	!
455	!-- Prognostic equation for v-velocity component
456	DO k = nzb+1, nzt
457	v_p(k,j,i) = v(k,j,i) + ( dt_3d * &
458	( tsc(2) * tend(k,j,i) + &
459	tsc(3) * tv_m(k,j,i) ) &
460	- tsc(5) * rdf(k) &
461	* ( v(k,j,i) - v_init(k) )&
462	) * MERGE( 1.0_wp, 0.0_wp, &
463	BTEST( wall_flags_total_0(k,j,i), 2 )&
464	)
465	ENDDO
466
467	!
468	!-- Add turbulence generated by wave breaking (in ocean mode only)
469	IF ( wave_breaking .AND. &
470	intermediate_timestep_count == intermediate_timestep_count_max )&
471	THEN
472	CALL wave_breaking_term( i, j, 2 )
473	ENDIF
474
475	!
476	!-- Calculate tendencies for the next Runge-Kutta step
477	IF ( timestep_scheme(1:5) == 'runge' ) THEN
478	IF ( intermediate_timestep_count == 1 ) THEN
479	DO k = nzb+1, nzt
480	tv_m(k,j,i) = tend(k,j,i)
481	ENDDO
482	ELSEIF ( intermediate_timestep_count < &
483	intermediate_timestep_count_max ) THEN
484	DO k = nzb+1, nzt
485	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
486	+ 5.3125_wp * tv_m(k,j,i)
487	ENDDO
488	ENDIF
489	ENDIF
490
491	ENDIF
492
493	!
494	!-- Tendency terms for w-velocity component
495	tend(:,j,i) = 0.0_wp
496	IF ( timestep_scheme(1:5) == 'runge' ) THEN
497	IF ( ws_scheme_mom ) THEN
498	CALL advec_w_ws( i, j, i_omp_start, tn )
499	ELSE
500	CALL advec_w_pw( i, j )
501	END IF
502	ELSE
503	CALL advec_w_up( i, j )
504	ENDIF
505	CALL diffusion_w( i, j )
506	CALL coriolis( i, j, 3 )
507
508	IF ( .NOT. neutral ) THEN
509	IF ( ocean_mode ) THEN
510	CALL buoyancy( i, j, rho_ocean, 3 )
511	ELSE
512	IF ( .NOT. humidity ) THEN
513	CALL buoyancy( i, j, pt, 3 )
514	ELSE
515	CALL buoyancy( i, j, vpt, 3 )
516	ENDIF
517	ENDIF
518	ENDIF
519
520	!
521	!-- Drag by plant canopy
522	IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 )
523
524	!
525	!-- Effect of Stokes drift (in ocean mode only)
526	IF ( stokes_force ) CALL stokes_drift_terms( i, j, 3 )
527
528	CALL module_interface_actions( i, j, 'w-tendency' )
529	!
530	!-- Prognostic equation for w-velocity component
531	DO k = nzb+1, nzt-1
532	w_p(k,j,i) = w(k,j,i) + ( dt_3d * &
533	( tsc(2) * tend(k,j,i) + &
534	tsc(3) * tw_m(k,j,i) ) &
535	- tsc(5) * rdf(k) * w(k,j,i) &
536	) * MERGE( 1.0_wp, 0.0_wp, &
537	BTEST( wall_flags_total_0(k,j,i), 3 )&
538	)
539	ENDDO
540
541	!
542	!-- Calculate tendencies for the next Runge-Kutta step
543	IF ( timestep_scheme(1:5) == 'runge' ) THEN
544	IF ( intermediate_timestep_count == 1 ) THEN
545	DO k = nzb+1, nzt-1
546	tw_m(k,j,i) = tend(k,j,i)
547	ENDDO
548	ELSEIF ( intermediate_timestep_count < &
549	intermediate_timestep_count_max ) THEN
550	DO k = nzb+1, nzt-1
551	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
552	+ 5.3125_wp * tw_m(k,j,i)
553	ENDDO
554	ENDIF
555	ENDIF
556
557	!
558	!-- If required, compute prognostic equation for potential temperature
559	IF ( .NOT. neutral ) THEN
560	!
561	!-- Tendency terms for potential temperature
562	tend(:,j,i) = 0.0_wp
563	IF ( timestep_scheme(1:5) == 'runge' ) THEN
564	IF ( ws_scheme_sca ) THEN
565	CALL advec_s_ws( advc_flags_s, &
566	i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
567	flux_l_pt, diss_l_pt, i_omp_start, tn, &
568	bc_dirichlet_l .OR. bc_radiation_l, &
569	bc_dirichlet_n .OR. bc_radiation_n, &
570	bc_dirichlet_r .OR. bc_radiation_r, &
571	bc_dirichlet_s .OR. bc_radiation_s )
572	ELSE
573	CALL advec_s_pw( i, j, pt )
574	ENDIF
575	ELSE
576	CALL advec_s_up( i, j, pt )
577	ENDIF
578	CALL diffusion_s( i, j, pt, &
579	surf_def_h(0)%shf, surf_def_h(1)%shf, &
580	surf_def_h(2)%shf, &
581	surf_lsm_h%shf, surf_usm_h%shf, &
582	surf_def_v(0)%shf, surf_def_v(1)%shf, &
583	surf_def_v(2)%shf, surf_def_v(3)%shf, &
584	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
585	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
586	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
587	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
588
589	!
590	!-- Consideration of heat sources within the plant canopy
591	IF ( plant_canopy .AND. &
592	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
593	CALL pcm_tendency( i, j, 4 )
594	ENDIF
595
596	!
597	!-- Large scale advection
598	IF ( large_scale_forcing ) THEN
599	CALL ls_advec( i, j, simulated_time, 'pt' )
600	ENDIF
601
602	!
603	!-- Nudging
604	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
605
606	!
607	!-- If required, compute effect of large-scale subsidence/ascent
608	IF ( large_scale_subsidence .AND. &
609	.NOT. use_subsidence_tendencies ) THEN
610	CALL subsidence( i, j, tend, pt, pt_init, 2 )
611	ENDIF
612
613	#if defined( __rrtmg )
614	!
615	!-- If required, add tendency due to radiative heating/cooling
616	IF ( radiation .AND. &
617	simulated_time > skip_time_do_radiation ) THEN
618	CALL radiation_tendency ( i, j, tend )
619	ENDIF
620	#endif
621
622	CALL module_interface_actions( i, j, 'pt-tendency' )
623	!
624	!-- Prognostic equation for potential temperature
625	DO k = nzb+1, nzt
626	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * &
627	( tsc(2) * tend(k,j,i) + &
628	tsc(3) * tpt_m(k,j,i) ) &
629	- tsc(5) &
630	* ( pt(k,j,i) - pt_init(k) ) &
631	* ( rdf_sc(k) + ptdf_x(i) &
632	+ ptdf_y(j) ) &
633	) &
634	* MERGE( 1.0_wp, 0.0_wp, &
635	BTEST( wall_flags_total_0(k,j,i), 0 )&
636	)
637	ENDDO
638
639	!
640	!-- Calculate tendencies for the next Runge-Kutta step
641	IF ( timestep_scheme(1:5) == 'runge' ) THEN
642	IF ( intermediate_timestep_count == 1 ) THEN
643	DO k = nzb+1, nzt
644	tpt_m(k,j,i) = tend(k,j,i)
645	ENDDO
646	ELSEIF ( intermediate_timestep_count < &
647	intermediate_timestep_count_max ) THEN
648	DO k = nzb+1, nzt
649	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
650	5.3125_wp * tpt_m(k,j,i)
651	ENDDO
652	ENDIF
653	ENDIF
654
655	ENDIF
656
657	!
658	!-- If required, compute prognostic equation for total water content
659	IF ( humidity ) THEN
660
661	!
662	!-- Tendency-terms for total water content / scalar
663	tend(:,j,i) = 0.0_wp
664	IF ( timestep_scheme(1:5) == 'runge' ) &
665	THEN
666	IF ( ws_scheme_sca ) THEN
667	CALL advec_s_ws( advc_flags_s, &
668	i, j, q, 'q', flux_s_q, &
669	diss_s_q, flux_l_q, diss_l_q, &
670	i_omp_start, tn, &
671	bc_dirichlet_l .OR. bc_radiation_l, &
672	bc_dirichlet_n .OR. bc_radiation_n, &
673	bc_dirichlet_r .OR. bc_radiation_r, &
674	bc_dirichlet_s .OR. bc_radiation_s )
675	ELSE
676	CALL advec_s_pw( i, j, q )
677	ENDIF
678	ELSE
679	CALL advec_s_up( i, j, q )
680	ENDIF
681	CALL diffusion_s( i, j, q, &
682	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
683	surf_def_h(2)%qsws, &
684	surf_lsm_h%qsws, surf_usm_h%qsws, &
685	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
686	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
687	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
688	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
689	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
690	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
691
692	!
693	!-- Sink or source of humidity due to canopy elements
694	IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 )
695
696	!
697	!-- Large scale advection
698	IF ( large_scale_forcing ) THEN
699	CALL ls_advec( i, j, simulated_time, 'q' )
700	ENDIF
701
702	!
703	!-- Nudging
704	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
705
706	!
707	!-- If required compute influence of large-scale subsidence/ascent
708	IF ( large_scale_subsidence .AND. &
709	.NOT. use_subsidence_tendencies ) THEN
710	CALL subsidence( i, j, tend, q, q_init, 3 )
711	ENDIF
712
713	CALL module_interface_actions( i, j, 'q-tendency' )
714
715	!
716	!-- Prognostic equation for total water content / scalar
717	DO k = nzb+1, nzt
718	q_p(k,j,i) = q(k,j,i) + ( dt_3d * &
719	( tsc(2) * tend(k,j,i) + &
720	tsc(3) * tq_m(k,j,i) ) &
721	- tsc(5) * rdf_sc(k) * &
722	( q(k,j,i) - q_init(k) ) &
723	) &
724	* MERGE( 1.0_wp, 0.0_wp, &
725	BTEST( wall_flags_total_0(k,j,i), 0 )&
726	)
727	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
728	ENDDO
729
730	!
731	!-- Calculate tendencies for the next Runge-Kutta step
732	IF ( timestep_scheme(1:5) == 'runge' ) THEN
733	IF ( intermediate_timestep_count == 1 ) THEN
734	DO k = nzb+1, nzt
735	tq_m(k,j,i) = tend(k,j,i)
736	ENDDO
737	ELSEIF ( intermediate_timestep_count < &
738	intermediate_timestep_count_max ) THEN
739	DO k = nzb+1, nzt
740	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
741	5.3125_wp * tq_m(k,j,i)
742	ENDDO
743	ENDIF
744	ENDIF
745
746	ENDIF
747
748	!
749	!-- If required, compute prognostic equation for scalar
750	IF ( passive_scalar ) THEN
751	!
752	!-- Tendency-terms for total water content / scalar
753	tend(:,j,i) = 0.0_wp
754	IF ( timestep_scheme(1:5) == 'runge' ) &
755	THEN
756	IF ( ws_scheme_sca ) THEN
757	!
758	!-- For scalar advection apply monotonic flux limiter near
759	!-- topography.
760	CALL advec_s_ws( advc_flags_s, &
761	i, j, s, 's', flux_s_s, &
762	diss_s_s, flux_l_s, diss_l_s, i_omp_start, &
763	tn, &
764	bc_dirichlet_l .OR. bc_radiation_l, &
765	bc_dirichlet_n .OR. bc_radiation_n, &
766	bc_dirichlet_r .OR. bc_radiation_r, &
767	bc_dirichlet_s .OR. bc_radiation_s, &
768	monotonic_limiter_z )
769	ELSE
770	CALL advec_s_pw( i, j, s )
771	ENDIF
772	ELSE
773	CALL advec_s_up( i, j, s )
774	ENDIF
775	CALL diffusion_s( i, j, s, &
776	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
777	surf_def_h(2)%ssws, &
778	surf_lsm_h%ssws, surf_usm_h%ssws, &
779	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
780	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
781	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
782	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
783	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
784	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
785
786	!
787	!-- Sink or source of scalar concentration due to canopy elements
788	IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 )
789
790	!
791	!-- Large scale advection, still need to be extended for scalars
792	! IF ( large_scale_forcing ) THEN
793	! CALL ls_advec( i, j, simulated_time, 's' )
794	! ENDIF
795
796	!
797	!-- Nudging, still need to be extended for scalars
798	! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' )
799
800	!
801	!-- If required compute influence of large-scale subsidence/ascent.
802	!-- Note, the last argument is of no meaning in this case, as it is
803	!-- only used in conjunction with large_scale_forcing, which is to
804	!-- date not implemented for scalars.
805	IF ( large_scale_subsidence .AND. &
806	.NOT. use_subsidence_tendencies .AND. &
807	.NOT. large_scale_forcing ) THEN
808	CALL subsidence( i, j, tend, s, s_init, 3 )
809	ENDIF
810
811	CALL module_interface_actions( i, j, 's-tendency' )
812
813	!
814	!-- Prognostic equation for scalar
815	DO k = nzb+1, nzt
816	s_p(k,j,i) = s(k,j,i) + ( dt_3d * &
817	( tsc(2) * tend(k,j,i) + &
818	tsc(3) * ts_m(k,j,i) ) &
819	- tsc(5) * rdf_sc(k) &
820	* ( s(k,j,i) - s_init(k) )&
821	) &
822	* MERGE( 1.0_wp, 0.0_wp, &
823	BTEST( wall_flags_total_0(k,j,i), 0 )&
824	)
825	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(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+1, nzt
833	ts_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+1, nzt
838	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
839	5.3125_wp * ts_m(k,j,i)
840	ENDDO
841	ENDIF
842	ENDIF
843
844	ENDIF
845	!
846	!-- Calculate prognostic equations for all other modules
847	CALL module_interface_prognostic_equations( i, j, i_omp_start, tn )
848
849	ENDDO ! loop over j
850	ENDDO ! loop over i
851	!$OMP END PARALLEL
852
853
854	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
855
856	IF ( debug_output_timestep ) CALL debug_message( 'prognostic_equations_cache', 'end' )
857
858	END SUBROUTINE prognostic_equations_cache
859
860
861	!------------------------------------------------------------------------------!
862	! Description:
863	! ------------
864	!> Version for vector machines
865	!------------------------------------------------------------------------------!
866
867	SUBROUTINE prognostic_equations_vector
868
869
870	INTEGER(iwp) :: i !<
871	INTEGER(iwp) :: j !<
872	INTEGER(iwp) :: k !<
873
874	REAL(wp) :: sbt !<
875
876
877	IF ( debug_output_timestep ) CALL debug_message( 'prognostic_equations_vector', 'start' )
878	!
879	!-- Calculate non advective processes for all other modules
880	CALL module_interface_non_advective_processes
881	!
882	!-- Module Inferface for exchange horiz after non_advective_processes but before
883	!-- advection. Therefore, non_advective_processes must not run for ghost points.
884	CALL module_interface_exchange_horiz()
885	!
886	!-- u-velocity component
887	CALL cpu_log( log_point(5), 'u-equation', 'start' )
888
889	!$ACC KERNELS PRESENT(tend)
890	tend = 0.0_wp
891	!$ACC END KERNELS
892	IF ( timestep_scheme(1:5) == 'runge' ) THEN
893	IF ( ws_scheme_mom ) THEN
894	CALL advec_u_ws
895	ELSE
896	CALL advec_u_pw
897	ENDIF
898	ELSE
899	CALL advec_u_up
900	ENDIF
901	CALL diffusion_u
902	CALL coriolis( 1 )
903	IF ( sloping_surface .AND. .NOT. neutral ) THEN
904	CALL buoyancy( pt, 1 )
905	ENDIF
906
907	!
908	!-- Drag by plant canopy
909	IF ( plant_canopy ) CALL pcm_tendency( 1 )
910
911	!
912	!-- External pressure gradient
913	IF ( dp_external ) THEN
914	DO i = nxlu, nxr
915	DO j = nys, nyn
916	DO k = dp_level_ind_b+1, nzt
917	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
918	ENDDO
919	ENDDO
920	ENDDO
921	ENDIF
922
923	!
924	!-- Nudging
925	IF ( nudging ) CALL nudge( simulated_time, 'u' )
926
927	!
928	!-- Effect of Stokes drift (in ocean mode only)
929	IF ( stokes_force ) CALL stokes_drift_terms( 1 )
930
931	CALL module_interface_actions( 'u-tendency' )
932
933	!
934	!-- Prognostic equation for u-velocity component
935	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
936	!$ACC PRESENT(u, tend, tu_m, u_init, rdf, wall_flags_total_0) &
937	!$ACC PRESENT(tsc(2:5)) &
938	!$ACC PRESENT(u_p)
939	DO i = nxlu, nxr
940	DO j = nys, nyn
941	!following directive is required to vectorize on Intel19
942	!DIR$ IVDEP
943	DO k = nzb+1, nzt
944	u_p(k,j,i) = u(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
945	tsc(3) * tu_m(k,j,i) ) &
946	- tsc(5) * rdf(k) * &
947	( u(k,j,i) - u_init(k) ) &
948	) * MERGE( 1.0_wp, 0.0_wp, &
949	BTEST( wall_flags_total_0(k,j,i), 1 ) &
950	)
951	ENDDO
952	ENDDO
953	ENDDO
954
955	!
956	!-- Add turbulence generated by wave breaking (in ocean mode only)
957	IF ( wave_breaking .AND. &
958	intermediate_timestep_count == intermediate_timestep_count_max ) &
959	THEN
960	CALL wave_breaking_term( 1 )
961	ENDIF
962
963	!
964	!-- Calculate tendencies for the next Runge-Kutta step
965	IF ( timestep_scheme(1:5) == 'runge' ) THEN
966	IF ( intermediate_timestep_count == 1 ) THEN
967	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
968	!$ACC PRESENT(tend, tu_m)
969	DO i = nxlu, nxr
970	DO j = nys, nyn
971	DO k = nzb+1, nzt
972	tu_m(k,j,i) = tend(k,j,i)
973	ENDDO
974	ENDDO
975	ENDDO
976	ELSEIF ( intermediate_timestep_count < &
977	intermediate_timestep_count_max ) THEN
978	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
979	!$ACC PRESENT(tend, tu_m)
980	DO i = nxlu, nxr
981	DO j = nys, nyn
982	DO k = nzb+1, nzt
983	tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
984	+ 5.3125_wp * tu_m(k,j,i)
985	ENDDO
986	ENDDO
987	ENDDO
988	ENDIF
989	ENDIF
990
991	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
992
993	!
994	!-- v-velocity component
995	CALL cpu_log( log_point(6), 'v-equation', 'start' )
996
997	!$ACC KERNELS PRESENT(tend)
998	tend = 0.0_wp
999	!$ACC END KERNELS
1000	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1001	IF ( ws_scheme_mom ) THEN
1002	CALL advec_v_ws
1003	ELSE
1004	CALL advec_v_pw
1005	END IF
1006	ELSE
1007	CALL advec_v_up
1008	ENDIF
1009	CALL diffusion_v
1010	CALL coriolis( 2 )
1011
1012	!
1013	!-- Drag by plant canopy
1014	IF ( plant_canopy ) CALL pcm_tendency( 2 )
1015
1016	!
1017	!-- External pressure gradient
1018	IF ( dp_external ) THEN
1019	DO i = nxl, nxr
1020	DO j = nysv, nyn
1021	DO k = dp_level_ind_b+1, nzt
1022	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
1023	ENDDO
1024	ENDDO
1025	ENDDO
1026	ENDIF
1027
1028	!
1029	!-- Nudging
1030	IF ( nudging ) CALL nudge( simulated_time, 'v' )
1031
1032	!
1033	!-- Effect of Stokes drift (in ocean mode only)
1034	IF ( stokes_force ) CALL stokes_drift_terms( 2 )
1035
1036	CALL module_interface_actions( 'v-tendency' )
1037
1038	!
1039	!-- Prognostic equation for v-velocity component
1040	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1041	!$ACC PRESENT(v, tend, tv_m, v_init, rdf, wall_flags_total_0) &
1042	!$ACC PRESENT(tsc(2:5)) &
1043	!$ACC PRESENT(v_p)
1044	DO i = nxl, nxr
1045	DO j = nysv, nyn
1046	!following directive is required to vectorize on Intel19
1047	!DIR$ IVDEP
1048	DO k = nzb+1, nzt
1049	v_p(k,j,i) = v(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1050	tsc(3) * tv_m(k,j,i) ) &
1051	- tsc(5) * rdf(k) * &
1052	( v(k,j,i) - v_init(k) ) &
1053	) * MERGE( 1.0_wp, 0.0_wp, &
1054	BTEST( wall_flags_total_0(k,j,i), 2 )&
1055	)
1056	ENDDO
1057	ENDDO
1058	ENDDO
1059
1060	!
1061	!-- Add turbulence generated by wave breaking (in ocean mode only)
1062	IF ( wave_breaking .AND. &
1063	intermediate_timestep_count == intermediate_timestep_count_max ) &
1064	THEN
1065	CALL wave_breaking_term( 2 )
1066	ENDIF
1067
1068	!
1069	!-- Calculate tendencies for the next Runge-Kutta step
1070	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1071	IF ( intermediate_timestep_count == 1 ) THEN
1072	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1073	!$ACC PRESENT(tend, tv_m)
1074	DO i = nxl, nxr
1075	DO j = nysv, nyn
1076	DO k = nzb+1, nzt
1077	tv_m(k,j,i) = tend(k,j,i)
1078	ENDDO
1079	ENDDO
1080	ENDDO
1081	ELSEIF ( intermediate_timestep_count < &
1082	intermediate_timestep_count_max ) THEN
1083	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1084	!$ACC PRESENT(tend, tv_m)
1085	DO i = nxl, nxr
1086	DO j = nysv, nyn
1087	DO k = nzb+1, nzt
1088	tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1089	+ 5.3125_wp * tv_m(k,j,i)
1090	ENDDO
1091	ENDDO
1092	ENDDO
1093	ENDIF
1094	ENDIF
1095
1096	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
1097
1098	!
1099	!-- w-velocity component
1100	CALL cpu_log( log_point(7), 'w-equation', 'start' )
1101
1102	!$ACC KERNELS PRESENT(tend)
1103	tend = 0.0_wp
1104	!$ACC END KERNELS
1105	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1106	IF ( ws_scheme_mom ) THEN
1107	CALL advec_w_ws
1108	ELSE
1109	CALL advec_w_pw
1110	ENDIF
1111	ELSE
1112	CALL advec_w_up
1113	ENDIF
1114	CALL diffusion_w
1115	CALL coriolis( 3 )
1116
1117	IF ( .NOT. neutral ) THEN
1118	IF ( ocean_mode ) THEN
1119	CALL buoyancy( rho_ocean, 3 )
1120	ELSE
1121	IF ( .NOT. humidity ) THEN
1122	CALL buoyancy( pt, 3 )
1123	ELSE
1124	CALL buoyancy( vpt, 3 )
1125	ENDIF
1126	ENDIF
1127	ENDIF
1128
1129	!
1130	!-- Drag by plant canopy
1131	IF ( plant_canopy ) CALL pcm_tendency( 3 )
1132
1133	!
1134	!-- Effect of Stokes drift (in ocean mode only)
1135	IF ( stokes_force ) CALL stokes_drift_terms( 3 )
1136
1137	CALL module_interface_actions( 'w-tendency' )
1138
1139	!
1140	!-- Prognostic equation for w-velocity component
1141	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1142	!$ACC PRESENT(w, tend, tw_m, v_init, rdf, wall_flags_total_0) &
1143	!$ACC PRESENT(tsc(2:5)) &
1144	!$ACC PRESENT(w_p)
1145	DO i = nxl, nxr
1146	DO j = nys, nyn
1147	!following directive is required to vectorize on Intel19
1148	!DIR$ IVDEP
1149	DO k = nzb+1, nzt-1
1150	w_p(k,j,i) = w(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + &
1151	tsc(3) * tw_m(k,j,i) ) &
1152	- tsc(5) * rdf(k) * w(k,j,i) &
1153	) * MERGE( 1.0_wp, 0.0_wp, &
1154	BTEST( wall_flags_total_0(k,j,i), 3 )&
1155	)
1156	ENDDO
1157	ENDDO
1158	ENDDO
1159
1160	!
1161	!-- Calculate tendencies for the next Runge-Kutta step
1162	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1163	IF ( intermediate_timestep_count == 1 ) THEN
1164	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1165	!$ACC PRESENT(tend, tw_m)
1166	DO i = nxl, nxr
1167	DO j = nys, nyn
1168	DO k = nzb+1, nzt-1
1169	tw_m(k,j,i) = tend(k,j,i)
1170	ENDDO
1171	ENDDO
1172	ENDDO
1173	ELSEIF ( intermediate_timestep_count < &
1174	intermediate_timestep_count_max ) THEN
1175	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1176	!$ACC PRESENT(tend, tw_m)
1177	DO i = nxl, nxr
1178	DO j = nys, nyn
1179	DO k = nzb+1, nzt-1
1180	tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1181	+ 5.3125_wp * tw_m(k,j,i)
1182	ENDDO
1183	ENDDO
1184	ENDDO
1185	ENDIF
1186	ENDIF
1187
1188	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
1189
1190
1191	!
1192	!-- If required, compute prognostic equation for potential temperature
1193	IF ( .NOT. neutral ) THEN
1194
1195	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
1196
1197	!
1198	!-- pt-tendency terms with communication
1199	sbt = tsc(2)
1200	IF ( scalar_advec == 'bc-scheme' ) THEN
1201
1202	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1203	!
1204	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1205	sbt = 1.0_wp
1206	ENDIF
1207	tend = 0.0_wp
1208	CALL advec_s_bc( pt, 'pt' )
1209
1210	ENDIF
1211
1212	!
1213	!-- pt-tendency terms with no communication
1214	IF ( scalar_advec /= 'bc-scheme' ) THEN
1215	!$ACC KERNELS PRESENT(tend)
1216	tend = 0.0_wp
1217	!$ACC END KERNELS
1218	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1219	IF ( ws_scheme_sca ) THEN
1220	CALL advec_s_ws( advc_flags_s, pt, 'pt', &
1221	bc_dirichlet_l .OR. bc_radiation_l, &
1222	bc_dirichlet_n .OR. bc_radiation_n, &
1223	bc_dirichlet_r .OR. bc_radiation_r, &
1224	bc_dirichlet_s .OR. bc_radiation_s )
1225	ELSE
1226	CALL advec_s_pw( pt )
1227	ENDIF
1228	ELSE
1229	CALL advec_s_up( pt )
1230	ENDIF
1231	ENDIF
1232
1233	CALL diffusion_s( pt, &
1234	surf_def_h(0)%shf, surf_def_h(1)%shf, &
1235	surf_def_h(2)%shf, &
1236	surf_lsm_h%shf, surf_usm_h%shf, &
1237	surf_def_v(0)%shf, surf_def_v(1)%shf, &
1238	surf_def_v(2)%shf, surf_def_v(3)%shf, &
1239	surf_lsm_v(0)%shf, surf_lsm_v(1)%shf, &
1240	surf_lsm_v(2)%shf, surf_lsm_v(3)%shf, &
1241	surf_usm_v(0)%shf, surf_usm_v(1)%shf, &
1242	surf_usm_v(2)%shf, surf_usm_v(3)%shf )
1243
1244	!
1245	!-- Consideration of heat sources within the plant canopy
1246	IF ( plant_canopy .AND. &
1247	(cthf /= 0.0_wp .OR. urban_surface .OR. land_surface) ) THEN
1248	CALL pcm_tendency( 4 )
1249	ENDIF
1250
1251	!
1252	!-- Large scale advection
1253	IF ( large_scale_forcing ) THEN
1254	CALL ls_advec( simulated_time, 'pt' )
1255	ENDIF
1256
1257	!
1258	!-- Nudging
1259	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
1260
1261	!
1262	!-- If required compute influence of large-scale subsidence/ascent
1263	IF ( large_scale_subsidence .AND. &
1264	.NOT. use_subsidence_tendencies ) THEN
1265	CALL subsidence( tend, pt, pt_init, 2 )
1266	ENDIF
1267
1268	#if defined( __rrtmg )
1269	!
1270	!-- If required, add tendency due to radiative heating/cooling
1271	IF ( radiation .AND. &
1272	simulated_time > skip_time_do_radiation ) THEN
1273	CALL radiation_tendency ( tend )
1274	ENDIF
1275	#endif
1276
1277	CALL module_interface_actions( 'pt-tendency' )
1278
1279	!
1280	!-- Prognostic equation for potential temperature
1281	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1282	!$ACC PRESENT(pt, tend, tpt_m, wall_flags_total_0) &
1283	!$ACC PRESENT(pt_init, rdf_sc, ptdf_x, ptdf_y) &
1284	!$ACC PRESENT(tsc(3:5)) &
1285	!$ACC PRESENT(pt_p)
1286	DO i = nxl, nxr
1287	DO j = nys, nyn
1288	!following directive is required to vectorize on Intel19
1289	!DIR$ IVDEP
1290	DO k = nzb+1, nzt
1291	pt_p(k,j,i) = pt(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1292	tsc(3) * tpt_m(k,j,i) ) &
1293	- tsc(5) * &
1294	( pt(k,j,i) - pt_init(k) ) *&
1295	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )&
1296	) &
1297	* MERGE( 1.0_wp, 0.0_wp, &
1298	BTEST( wall_flags_total_0(k,j,i), 0 ) &
1299	)
1300	ENDDO
1301	ENDDO
1302	ENDDO
1303	!
1304	!-- Calculate tendencies for the next Runge-Kutta step
1305	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1306	IF ( intermediate_timestep_count == 1 ) THEN
1307	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1308	!$ACC PRESENT(tend, tpt_m)
1309	DO i = nxl, nxr
1310	DO j = nys, nyn
1311	DO k = nzb+1, nzt
1312	tpt_m(k,j,i) = tend(k,j,i)
1313	ENDDO
1314	ENDDO
1315	ENDDO
1316	ELSEIF ( intermediate_timestep_count < &
1317	intermediate_timestep_count_max ) THEN
1318	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) &
1319	!$ACC PRESENT(tend, tpt_m)
1320	DO i = nxl, nxr
1321	DO j = nys, nyn
1322	DO k = nzb+1, nzt
1323	tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + &
1324	5.3125_wp * tpt_m(k,j,i)
1325	ENDDO
1326	ENDDO
1327	ENDDO
1328	ENDIF
1329	ENDIF
1330
1331	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
1332
1333	ENDIF
1334
1335	!
1336	!-- If required, compute prognostic equation for total water content
1337	IF ( humidity ) THEN
1338
1339	CALL cpu_log( log_point(29), 'q-equation', 'start' )
1340
1341	!
1342	!-- Scalar/q-tendency terms with communication
1343	sbt = tsc(2)
1344	IF ( scalar_advec == 'bc-scheme' ) THEN
1345
1346	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1347	!
1348	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1349	sbt = 1.0_wp
1350	ENDIF
1351	tend = 0.0_wp
1352	CALL advec_s_bc( q, 'q' )
1353
1354	ENDIF
1355
1356	!
1357	!-- Scalar/q-tendency terms with no communication
1358	IF ( scalar_advec /= 'bc-scheme' ) THEN
1359	tend = 0.0_wp
1360	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1361	IF ( ws_scheme_sca ) THEN
1362	CALL advec_s_ws( advc_flags_s, q, 'q', &
1363	bc_dirichlet_l .OR. bc_radiation_l, &
1364	bc_dirichlet_n .OR. bc_radiation_n, &
1365	bc_dirichlet_r .OR. bc_radiation_r, &
1366	bc_dirichlet_s .OR. bc_radiation_s )
1367	ELSE
1368	CALL advec_s_pw( q )
1369	ENDIF
1370	ELSE
1371	CALL advec_s_up( q )
1372	ENDIF
1373	ENDIF
1374
1375	CALL diffusion_s( q, &
1376	surf_def_h(0)%qsws, surf_def_h(1)%qsws, &
1377	surf_def_h(2)%qsws, &
1378	surf_lsm_h%qsws, surf_usm_h%qsws, &
1379	surf_def_v(0)%qsws, surf_def_v(1)%qsws, &
1380	surf_def_v(2)%qsws, surf_def_v(3)%qsws, &
1381	surf_lsm_v(0)%qsws, surf_lsm_v(1)%qsws, &
1382	surf_lsm_v(2)%qsws, surf_lsm_v(3)%qsws, &
1383	surf_usm_v(0)%qsws, surf_usm_v(1)%qsws, &
1384	surf_usm_v(2)%qsws, surf_usm_v(3)%qsws )
1385
1386	!
1387	!-- Sink or source of humidity due to canopy elements
1388	IF ( plant_canopy ) CALL pcm_tendency( 5 )
1389
1390	!
1391	!-- Large scale advection
1392	IF ( large_scale_forcing ) THEN
1393	CALL ls_advec( simulated_time, 'q' )
1394	ENDIF
1395
1396	!
1397	!-- Nudging
1398	IF ( nudging ) CALL nudge( simulated_time, 'q' )
1399
1400	!
1401	!-- If required compute influence of large-scale subsidence/ascent
1402	IF ( large_scale_subsidence .AND. &
1403	.NOT. use_subsidence_tendencies ) THEN
1404	CALL subsidence( tend, q, q_init, 3 )
1405	ENDIF
1406
1407	CALL module_interface_actions( 'q-tendency' )
1408
1409	!
1410	!-- Prognostic equation for total water content
1411	DO i = nxl, nxr
1412	DO j = nys, nyn
1413	!following directive is required to vectorize on Intel19
1414	!DIR$ IVDEP
1415	DO k = nzb+1, nzt
1416	q_p(k,j,i) = q(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1417	tsc(3) * tq_m(k,j,i) ) &
1418	- tsc(5) * rdf_sc(k) * &
1419	( q(k,j,i) - q_init(k) ) &
1420	) * MERGE( 1.0_wp, 0.0_wp, &
1421	BTEST( wall_flags_total_0(k,j,i), 0 ) &
1422	)
1423	IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i)
1424	ENDDO
1425	ENDDO
1426	ENDDO
1427
1428	!
1429	!-- Calculate tendencies for the next Runge-Kutta step
1430	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1431	IF ( intermediate_timestep_count == 1 ) THEN
1432	DO i = nxl, nxr
1433	DO j = nys, nyn
1434	DO k = nzb+1, nzt
1435	tq_m(k,j,i) = tend(k,j,i)
1436	ENDDO
1437	ENDDO
1438	ENDDO
1439	ELSEIF ( intermediate_timestep_count < &
1440	intermediate_timestep_count_max ) THEN
1441	DO i = nxl, nxr
1442	DO j = nys, nyn
1443	DO k = nzb+1, nzt
1444	tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1445	+ 5.3125_wp * tq_m(k,j,i)
1446	ENDDO
1447	ENDDO
1448	ENDDO
1449	ENDIF
1450	ENDIF
1451
1452	CALL cpu_log( log_point(29), 'q-equation', 'stop' )
1453
1454	ENDIF
1455	!
1456	!-- If required, compute prognostic equation for scalar
1457	IF ( passive_scalar ) THEN
1458
1459	CALL cpu_log( log_point(66), 's-equation', 'start' )
1460
1461	!
1462	!-- Scalar/q-tendency terms with communication
1463	sbt = tsc(2)
1464	IF ( scalar_advec == 'bc-scheme' ) THEN
1465
1466	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1467	!
1468	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1469	sbt = 1.0_wp
1470	ENDIF
1471	tend = 0.0_wp
1472	CALL advec_s_bc( s, 's' )
1473
1474	ENDIF
1475
1476	!
1477	!-- Scalar/q-tendency terms with no communication
1478	IF ( scalar_advec /= 'bc-scheme' ) THEN
1479	tend = 0.0_wp
1480	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1481	IF ( ws_scheme_sca ) THEN
1482	CALL advec_s_ws( advc_flags_s, s, 's', &
1483	bc_dirichlet_l .OR. bc_radiation_l, &
1484	bc_dirichlet_n .OR. bc_radiation_n, &
1485	bc_dirichlet_r .OR. bc_radiation_r, &
1486	bc_dirichlet_s .OR. bc_radiation_s )
1487	ELSE
1488	CALL advec_s_pw( s )
1489	ENDIF
1490	ELSE
1491	CALL advec_s_up( s )
1492	ENDIF
1493	ENDIF
1494
1495	CALL diffusion_s( s, &
1496	surf_def_h(0)%ssws, surf_def_h(1)%ssws, &
1497	surf_def_h(2)%ssws, &
1498	surf_lsm_h%ssws, surf_usm_h%ssws, &
1499	surf_def_v(0)%ssws, surf_def_v(1)%ssws, &
1500	surf_def_v(2)%ssws, surf_def_v(3)%ssws, &
1501	surf_lsm_v(0)%ssws, surf_lsm_v(1)%ssws, &
1502	surf_lsm_v(2)%ssws, surf_lsm_v(3)%ssws, &
1503	surf_usm_v(0)%ssws, surf_usm_v(1)%ssws, &
1504	surf_usm_v(2)%ssws, surf_usm_v(3)%ssws )
1505
1506	!
1507	!-- Sink or source of humidity due to canopy elements
1508	IF ( plant_canopy ) CALL pcm_tendency( 7 )
1509
1510	!
1511	!-- Large scale advection. Not implemented for scalars so far.
1512	! IF ( large_scale_forcing ) THEN
1513	! CALL ls_advec( simulated_time, 'q' )
1514	! ENDIF
1515
1516	!
1517	!-- Nudging. Not implemented for scalars so far.
1518	! IF ( nudging ) CALL nudge( simulated_time, 'q' )
1519
1520	!
1521	!-- If required compute influence of large-scale subsidence/ascent.
1522	!-- Not implemented for scalars so far.
1523	IF ( large_scale_subsidence .AND. &
1524	.NOT. use_subsidence_tendencies .AND. &
1525	.NOT. large_scale_forcing ) THEN
1526	CALL subsidence( tend, s, s_init, 3 )
1527	ENDIF
1528
1529	CALL module_interface_actions( 's-tendency' )
1530
1531	!
1532	!-- Prognostic equation for total water content
1533	DO i = nxl, nxr
1534	DO j = nys, nyn
1535	!following directive is required to vectorize on Intel19
1536	!DIR$ IVDEP
1537	DO k = nzb+1, nzt
1538	s_p(k,j,i) = s(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + &
1539	tsc(3) * ts_m(k,j,i) ) &
1540	- tsc(5) * rdf_sc(k) * &
1541	( s(k,j,i) - s_init(k) ) &
1542	) &
1543	* MERGE( 1.0_wp, 0.0_wp, &
1544	BTEST( wall_flags_total_0(k,j,i), 0 ) &
1545	)
1546	IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i)
1547	ENDDO
1548	ENDDO
1549	ENDDO
1550
1551	!
1552	!-- Calculate tendencies for the next Runge-Kutta step
1553	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1554	IF ( intermediate_timestep_count == 1 ) THEN
1555	DO i = nxl, nxr
1556	DO j = nys, nyn
1557	DO k = nzb+1, nzt
1558	ts_m(k,j,i) = tend(k,j,i)
1559	ENDDO
1560	ENDDO
1561	ENDDO
1562	ELSEIF ( intermediate_timestep_count < &
1563	intermediate_timestep_count_max ) THEN
1564	DO i = nxl, nxr
1565	DO j = nys, nyn
1566	DO k = nzb+1, nzt
1567	ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) &
1568	+ 5.3125_wp * ts_m(k,j,i)
1569	ENDDO
1570	ENDDO
1571	ENDDO
1572	ENDIF
1573	ENDIF
1574
1575	CALL cpu_log( log_point(66), 's-equation', 'stop' )
1576
1577	ENDIF
1578	!
1579	!-- Calculate prognostic equations for all other modules
1580	CALL module_interface_prognostic_equations()
1581
1582	IF ( debug_output_timestep ) CALL debug_message( 'prognostic_equations_vector', 'end' )
1583
1584	END SUBROUTINE prognostic_equations_vector
1585
1586
1587	END MODULE prognostic_equations_mod

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