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source: palm/trunk/SOURCE/prognostic_equations.f90 @ 1242

Last change on this file since 1242 was 1242, checked in by heinze, 10 years ago
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1	MODULE prognostic_equations_mod
2
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	!
17	! Copyright 1997-2012 Leibniz University Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: prognostic_equations.f90 1242 2013-10-30 11:50:11Z heinze $
27	!
28	! 1241 2013-10-30 11:36:58Z heinze
29	! usage of nudging enabled (so far not implemented for accelerator version)
30	!
31	! 1179 2013-06-14 05:57:58Z raasch
32	! two arguments removed from routine buoyancy, ref_state updated on device
33	!
34	! 1128 2013-04-12 06:19:32Z raasch
35	! those parts requiring global communication moved to time_integration,
36	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
37	! j_north
38	!
39	! 1115 2013-03-26 18:16:16Z hoffmann
40	! optimized cloud physics: calculation of microphysical tendencies transfered
41	! to microphysics.f90; qr and nr are only calculated if precipitation is required
42	!
43	! 1111 2013-03-08 23:54:10Z raasch
44	! update directives for prognostic quantities removed
45	!
46	! 1106 2013-03-04 05:31:38Z raasch
47	! small changes in code formatting
48	!
49	! 1092 2013-02-02 11:24:22Z raasch
50	! unused variables removed
51	!
52	! 1053 2012-11-13 17:11:03Z hoffmann
53	! implementation of two new prognostic equations for rain drop concentration (nr)
54	! and rain water content (qr)
55	!
56	! currently, only available for cache loop optimization
57	!
58	! 1036 2012-10-22 13:43:42Z raasch
59	! code put under GPL (PALM 3.9)
60	!
61	! 1019 2012-09-28 06:46:45Z raasch
62	! non-optimized version of prognostic_equations removed
63	!
64	! 1015 2012-09-27 09:23:24Z raasch
65	! new branch prognostic_equations_acc
66	! OpenACC statements added + code changes required for GPU optimization
67	!
68	! 1001 2012-09-13 14:08:46Z raasch
69	! all actions concerning leapfrog- and upstream-spline-scheme removed
70	!
71	! 978 2012-08-09 08:28:32Z fricke
72	! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v
73	! add ptdf_x, ptdf_y for damping the potential temperature at the inflow
74	! boundary in case of non-cyclic lateral boundaries
75	! Bugfix: first thread index changes for WS-scheme at the inflow
76	!
77	! 940 2012-07-09 14:31:00Z raasch
78	! temperature equation can be switched off
79	!
80	! 785 2011-11-28 09:47:19Z raasch
81	! new factor rdf_sc allows separate Rayleigh damping of scalars
82	!
83	! 736 2011-08-17 14:13:26Z suehring
84	! Bugfix: determination of first thread index i for WS-scheme
85	!
86	! 709 2011-03-30 09:31:40Z raasch
87	! formatting adjustments
88	!
89	! 673 2011-01-18 16:19:48Z suehring
90	! Consideration of the pressure gradient (steered by tsc(4)) during the time
91	! integration removed.
92	!
93	! 667 2010-12-23 12:06:00Z suehring/gryschka
94	! Calls of the advection routines with WS5 added.
95	! Calls of ws_statistics added to set the statistical arrays to zero after each
96	! time step.
97	!
98	! 531 2010-04-21 06:47:21Z heinze
99	! add call of subsidence in the equation for humidity / passive scalar
100	!
101	! 411 2009-12-11 14:15:58Z heinze
102	! add call of subsidence in the equation for potential temperature
103	!
104	! 388 2009-09-23 09:40:33Z raasch
105	! prho is used instead of rho in diffusion_e,
106	! external pressure gradient
107	!
108	! 153 2008-03-19 09:41:30Z steinfeld
109	! add call of plant_canopy_model in the prognostic equation for
110	! the potential temperature and for the passive scalar
111	!
112	! 138 2007-11-28 10:03:58Z letzel
113	! add call of subroutines that evaluate the canopy drag terms,
114	! add wall_*flux to parameter list of calls of diffusion_s
115	!
116	! 106 2007-08-16 14:30:26Z raasch
117	! +uswst, vswst as arguments in calls of diffusion_u\|v,
118	! loops for u and v are starting from index nxlu, nysv, respectively (needed
119	! for non-cyclic boundary conditions)
120	!
121	! 97 2007-06-21 08:23:15Z raasch
122	! prognostic equation for salinity, density is calculated from equation of
123	! state for seawater and is used for calculation of buoyancy,
124	! +eqn_state_seawater_mod
125	! diffusion_e is called with argument rho in case of ocean runs,
126	! new argument zw in calls of diffusion_e, new argument pt_/prho_reference
127	! in calls of buoyancy and diffusion_e, calc_mean_pt_profile renamed
128	! calc_mean_profile
129	!
130	! 75 2007-03-22 09:54:05Z raasch
131	! checking for negative q and limiting for positive values,
132	! z0 removed from arguments in calls of diffusion_u/v/w, uxrp, vynp eliminated,
133	! subroutine names changed to .._noopt, .._cache, and .._vector,
134	! moisture renamed humidity, Bott-Chlond-scheme can be used in the
135	! _vector-version
136	!
137	! 19 2007-02-23 04:53:48Z raasch
138	! Calculation of e, q, and pt extended for gridpoint nzt,
139	! handling of given temperature/humidity/scalar fluxes at top surface
140	!
141	! RCS Log replace by Id keyword, revision history cleaned up
142	!
143	! Revision 1.21 2006/08/04 15:01:07 raasch
144	! upstream scheme can be forced to be used for tke (use_upstream_for_tke)
145	! regardless of the timestep scheme used for the other quantities,
146	! new argument diss in call of diffusion_e
147	!
148	! Revision 1.1 2000/04/13 14:56:27 schroeter
149	! Initial revision
150	!
151	!
152	! Description:
153	! ------------
154	! Solving the prognostic equations.
155	!------------------------------------------------------------------------------!
156
157	USE arrays_3d
158	USE control_parameters
159	USE cpulog
160	USE eqn_state_seawater_mod
161	USE grid_variables
162	USE indices
163	USE interfaces
164	USE pegrid
165	USE pointer_interfaces
166	USE statistics
167	USE advec_ws
168	USE advec_s_pw_mod
169	USE advec_s_up_mod
170	USE advec_u_pw_mod
171	USE advec_u_up_mod
172	USE advec_v_pw_mod
173	USE advec_v_up_mod
174	USE advec_w_pw_mod
175	USE advec_w_up_mod
176	USE buoyancy_mod
177	USE calc_precipitation_mod
178	USE calc_radiation_mod
179	USE coriolis_mod
180	USE diffusion_e_mod
181	USE diffusion_s_mod
182	USE diffusion_u_mod
183	USE diffusion_v_mod
184	USE diffusion_w_mod
185	USE impact_of_latent_heat_mod
186	USE microphysics_mod
187	USE nudge_mod
188	USE plant_canopy_model_mod
189	USE production_e_mod
190	USE subsidence_mod
191	USE user_actions_mod
192
193
194	PRIVATE
195	PUBLIC prognostic_equations_cache, prognostic_equations_vector, &
196	prognostic_equations_acc
197
198	INTERFACE prognostic_equations_cache
199	MODULE PROCEDURE prognostic_equations_cache
200	END INTERFACE prognostic_equations_cache
201
202	INTERFACE prognostic_equations_vector
203	MODULE PROCEDURE prognostic_equations_vector
204	END INTERFACE prognostic_equations_vector
205
206	INTERFACE prognostic_equations_acc
207	MODULE PROCEDURE prognostic_equations_acc
208	END INTERFACE prognostic_equations_acc
209
210
211	CONTAINS
212
213
214	SUBROUTINE prognostic_equations_cache
215
216	!------------------------------------------------------------------------------!
217	! Version with one optimized loop over all equations. It is only allowed to
218	! be called for the Wicker and Skamarock or Piascek-Williams advection scheme.
219	!
220	! Here the calls of most subroutines are embedded in two DO loops over i and j,
221	! so communication between CPUs is not allowed (does not make sense) within
222	! these loops.
223	!
224	! (Optimized to avoid cache missings, i.e. for Power4/5-architectures.)
225	!------------------------------------------------------------------------------!
226
227	IMPLICIT NONE
228
229	INTEGER :: i, i_omp_start, j, k, omp_get_thread_num, tn = 0
230	LOGICAL :: loop_start
231
232
233	!
234	!-- Time measurement can only be performed for the whole set of equations
235	CALL cpu_log( log_point(32), 'all progn.equations', 'start' )
236
237	!
238	!-- Loop over all prognostic equations
239	!$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn)
240
241	!$ tn = omp_get_thread_num()
242	loop_start = .TRUE.
243	!$OMP DO
244	DO i = nxl, nxr
245
246	!
247	!-- Store the first loop index. It differs for each thread and is required
248	!-- later in advec_ws
249	IF ( loop_start ) THEN
250	loop_start = .FALSE.
251	i_omp_start = i
252	ENDIF
253
254	DO j = nys, nyn
255	!
256	!-- Tendency terms for u-velocity component
257	IF ( .NOT. outflow_l .OR. i > nxl ) THEN
258
259	tend(:,j,i) = 0.0
260	IF ( timestep_scheme(1:5) == 'runge' ) THEN
261	IF ( ws_scheme_mom ) THEN
262	IF ( ( inflow_l .OR. outflow_l ) .AND. i_omp_start == nxl ) THEN
263	CALL advec_u_ws( i, j, i_omp_start + 1, tn )
264	ELSE
265	CALL advec_u_ws( i, j, i_omp_start, tn )
266	ENDIF
267	ELSE
268	CALL advec_u_pw( i, j )
269	ENDIF
270	ELSE
271	CALL advec_u_up( i, j )
272	ENDIF
273	CALL diffusion_u( i, j )
274	CALL coriolis( i, j, 1 )
275	IF ( sloping_surface .AND. .NOT. neutral ) THEN
276	CALL buoyancy( i, j, pt, 1 )
277	ENDIF
278
279	!
280	!-- Drag by plant canopy
281	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 1 )
282
283	!
284	!-- External pressure gradient
285	IF ( dp_external ) THEN
286	DO k = dp_level_ind_b+1, nzt
287	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
288	ENDDO
289	ENDIF
290
291	!
292	!-- Nudging
293	IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' )
294
295	CALL user_actions( i, j, 'u-tendency' )
296	!
297	!-- Prognostic equation for u-velocity component
298	DO k = nzb_u_inner(j,i)+1, nzt
299	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
300	tsc(3) * tu_m(k,j,i) ) &
301	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
302	ENDDO
303
304	!
305	!-- Calculate tendencies for the next Runge-Kutta step
306	IF ( timestep_scheme(1:5) == 'runge' ) THEN
307	IF ( intermediate_timestep_count == 1 ) THEN
308	DO k = nzb_u_inner(j,i)+1, nzt
309	tu_m(k,j,i) = tend(k,j,i)
310	ENDDO
311	ELSEIF ( intermediate_timestep_count < &
312	intermediate_timestep_count_max ) THEN
313	DO k = nzb_u_inner(j,i)+1, nzt
314	tu_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tu_m(k,j,i)
315	ENDDO
316	ENDIF
317	ENDIF
318
319	ENDIF
320
321	!
322	!-- Tendency terms for v-velocity component
323	IF ( .NOT. outflow_s .OR. j > nys ) THEN
324
325	tend(:,j,i) = 0.0
326	IF ( timestep_scheme(1:5) == 'runge' ) THEN
327	IF ( ws_scheme_mom ) THEN
328	CALL advec_v_ws( i, j, i_omp_start, tn )
329	ELSE
330	CALL advec_v_pw( i, j )
331	ENDIF
332	ELSE
333	CALL advec_v_up( i, j )
334	ENDIF
335	CALL diffusion_v( i, j )
336	CALL coriolis( i, j, 2 )
337
338	!
339	!-- Drag by plant canopy
340	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 2 )
341
342	!
343	!-- External pressure gradient
344	IF ( dp_external ) THEN
345	DO k = dp_level_ind_b+1, nzt
346	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
347	ENDDO
348	ENDIF
349
350	!
351	!-- Nudging
352	IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' )
353
354	CALL user_actions( i, j, 'v-tendency' )
355	!
356	!-- Prognostic equation for v-velocity component
357	DO k = nzb_v_inner(j,i)+1, nzt
358	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
359	tsc(3) * tv_m(k,j,i) ) &
360	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
361	ENDDO
362
363	!
364	!-- Calculate tendencies for the next Runge-Kutta step
365	IF ( timestep_scheme(1:5) == 'runge' ) THEN
366	IF ( intermediate_timestep_count == 1 ) THEN
367	DO k = nzb_v_inner(j,i)+1, nzt
368	tv_m(k,j,i) = tend(k,j,i)
369	ENDDO
370	ELSEIF ( intermediate_timestep_count < &
371	intermediate_timestep_count_max ) THEN
372	DO k = nzb_v_inner(j,i)+1, nzt
373	tv_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tv_m(k,j,i)
374	ENDDO
375	ENDIF
376	ENDIF
377
378	ENDIF
379
380	!
381	!-- Tendency terms for w-velocity component
382	tend(:,j,i) = 0.0
383	IF ( timestep_scheme(1:5) == 'runge' ) THEN
384	IF ( ws_scheme_mom ) THEN
385	CALL advec_w_ws( i, j, i_omp_start, tn )
386	ELSE
387	CALL advec_w_pw( i, j )
388	END IF
389	ELSE
390	CALL advec_w_up( i, j )
391	ENDIF
392	CALL diffusion_w( i, j )
393	CALL coriolis( i, j, 3 )
394
395	IF ( .NOT. neutral ) THEN
396	IF ( ocean ) THEN
397	CALL buoyancy( i, j, rho, 3 )
398	ELSE
399	IF ( .NOT. humidity ) THEN
400	CALL buoyancy( i, j, pt, 3 )
401	ELSE
402	CALL buoyancy( i, j, vpt, 3 )
403	ENDIF
404	ENDIF
405	ENDIF
406
407	!
408	!-- Drag by plant canopy
409	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 3 )
410
411	CALL user_actions( i, j, 'w-tendency' )
412
413	!
414	!-- Prognostic equation for w-velocity component
415	DO k = nzb_w_inner(j,i)+1, nzt-1
416	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
417	tsc(3) * tw_m(k,j,i) ) &
418	- tsc(5) * rdf(k) * w(k,j,i)
419	ENDDO
420
421	!
422	!-- Calculate tendencies for the next Runge-Kutta step
423	IF ( timestep_scheme(1:5) == 'runge' ) THEN
424	IF ( intermediate_timestep_count == 1 ) THEN
425	DO k = nzb_w_inner(j,i)+1, nzt-1
426	tw_m(k,j,i) = tend(k,j,i)
427	ENDDO
428	ELSEIF ( intermediate_timestep_count < &
429	intermediate_timestep_count_max ) THEN
430	DO k = nzb_w_inner(j,i)+1, nzt-1
431	tw_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tw_m(k,j,i)
432	ENDDO
433	ENDIF
434	ENDIF
435	!
436	!-- If required, calculate tendencies for total water content, liquid water
437	!-- potential temperature, rain water content and rain drop concentration
438	IF ( cloud_physics .AND. icloud_scheme == 0 ) CALL microphysics_control( i, j )
439	!
440	!-- If required, compute prognostic equation for potential temperature
441	IF ( .NOT. neutral ) THEN
442	!
443	!-- Tendency terms for potential temperature
444	tend(:,j,i) = 0.0
445	IF ( timestep_scheme(1:5) == 'runge' ) THEN
446	IF ( ws_scheme_sca ) THEN
447	CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, &
448	flux_l_pt, diss_l_pt, i_omp_start, tn )
449	ELSE
450	CALL advec_s_pw( i, j, pt )
451	ENDIF
452	ELSE
453	CALL advec_s_up( i, j, pt )
454	ENDIF
455	CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux )
456
457	!
458	!-- If required compute heating/cooling due to long wave radiation
459	!-- processes
460	IF ( radiation ) THEN
461	CALL calc_radiation( i, j )
462	ENDIF
463
464	!
465	!-- Using microphysical tendencies (latent heat)
466	IF ( cloud_physics ) THEN
467	IF ( icloud_scheme == 0 ) THEN
468	tend(:,j,i) = tend(:,j,i) + tend_pt(:,j,i)
469	ELSEIF ( icloud_scheme == 1 .AND. precipitation ) THEN
470	CALL impact_of_latent_heat( i, j )
471	ENDIF
472	ENDIF
473
474	!
475	!-- Consideration of heat sources within the plant canopy
476	IF ( plant_canopy .AND. cthf /= 0.0 ) THEN
477	CALL plant_canopy_model( i, j, 4 )
478	ENDIF
479
480	!
481	!-- If required, compute effect of large-scale subsidence/ascent
482	IF ( large_scale_subsidence ) THEN
483	CALL subsidence( i, j, tend, pt, pt_init )
484	ENDIF
485
486	!
487	!-- Nudging
488	IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' )
489
490	CALL user_actions( i, j, 'pt-tendency' )
491
492	!
493	!-- Prognostic equation for potential temperature
494	DO k = nzb_s_inner(j,i)+1, nzt
495	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
496	tsc(3) * tpt_m(k,j,i) ) &
497	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
498	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
499	ENDDO
500
501	!
502	!-- Calculate tendencies for the next Runge-Kutta step
503	IF ( timestep_scheme(1:5) == 'runge' ) THEN
504	IF ( intermediate_timestep_count == 1 ) THEN
505	DO k = nzb_s_inner(j,i)+1, nzt
506	tpt_m(k,j,i) = tend(k,j,i)
507	ENDDO
508	ELSEIF ( intermediate_timestep_count < &
509	intermediate_timestep_count_max ) THEN
510	DO k = nzb_s_inner(j,i)+1, nzt
511	tpt_m(k,j,i) = -9.5625 * tend(k,j,i) + &
512	5.3125 * tpt_m(k,j,i)
513	ENDDO
514	ENDIF
515	ENDIF
516
517	ENDIF
518
519	!
520	!-- If required, compute prognostic equation for salinity
521	IF ( ocean ) THEN
522
523	!
524	!-- Tendency-terms for salinity
525	tend(:,j,i) = 0.0
526	IF ( timestep_scheme(1:5) == 'runge' ) &
527	THEN
528	IF ( ws_scheme_sca ) THEN
529	CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, &
530	diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn )
531	ELSE
532	CALL advec_s_pw( i, j, sa )
533	ENDIF
534	ELSE
535	CALL advec_s_up( i, j, sa )
536	ENDIF
537	CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux )
538
539	CALL user_actions( i, j, 'sa-tendency' )
540
541	!
542	!-- Prognostic equation for salinity
543	DO k = nzb_s_inner(j,i)+1, nzt
544	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
545	tsc(3) * tsa_m(k,j,i) ) &
546	- tsc(5) * rdf_sc(k) * &
547	( sa(k,j,i) - sa_init(k) )
548	IF ( sa_p(k,j,i) < 0.0 ) sa_p(k,j,i) = 0.1 * sa(k,j,i)
549	ENDDO
550
551	!
552	!-- Calculate tendencies for the next Runge-Kutta step
553	IF ( timestep_scheme(1:5) == 'runge' ) THEN
554	IF ( intermediate_timestep_count == 1 ) THEN
555	DO k = nzb_s_inner(j,i)+1, nzt
556	tsa_m(k,j,i) = tend(k,j,i)
557	ENDDO
558	ELSEIF ( intermediate_timestep_count < &
559	intermediate_timestep_count_max ) THEN
560	DO k = nzb_s_inner(j,i)+1, nzt
561	tsa_m(k,j,i) = -9.5625 * tend(k,j,i) + &
562	5.3125 * tsa_m(k,j,i)
563	ENDDO
564	ENDIF
565	ENDIF
566
567	!
568	!-- Calculate density by the equation of state for seawater
569	CALL eqn_state_seawater( i, j )
570
571	ENDIF
572
573	!
574	!-- If required, compute prognostic equation for total water content /
575	!-- scalar
576	IF ( humidity .OR. passive_scalar ) THEN
577
578	!
579	!-- Tendency-terms for total water content / scalar
580	tend(:,j,i) = 0.0
581	IF ( timestep_scheme(1:5) == 'runge' ) &
582	THEN
583	IF ( ws_scheme_sca ) THEN
584	CALL advec_s_ws( i, j, q, 'q', flux_s_q, &
585	diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn )
586	ELSE
587	CALL advec_s_pw( i, j, q )
588	ENDIF
589	ELSE
590	CALL advec_s_up( i, j, q )
591	ENDIF
592	CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux )
593
594	!
595	!-- Using microphysical tendencies
596	IF ( cloud_physics ) THEN
597	IF ( icloud_scheme == 0 ) THEN
598	tend(:,j,i) = tend(:,j,i) + tend_q(:,j,i)
599	ELSEIF ( icloud_scheme == 1 .AND. precipitation ) THEN
600	CALL calc_precipitation( i, j )
601	ENDIF
602	ENDIF
603	!
604	!-- Sink or source of scalar concentration due to canopy elements
605	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 5 )
606
607	!
608	!-- If required compute influence of large-scale subsidence/ascent
609	IF ( large_scale_subsidence ) THEN
610	CALL subsidence( i, j, tend, q, q_init )
611	ENDIF
612
613	!
614	!-- Nudging
615	IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' )
616
617	CALL user_actions( i, j, 'q-tendency' )
618
619	!
620	!-- Prognostic equation for total water content / scalar
621	DO k = nzb_s_inner(j,i)+1, nzt
622	q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
623	tsc(3) * tq_m(k,j,i) ) &
624	- tsc(5) * rdf_sc(k) * &
625	( q(k,j,i) - q_init(k) )
626	IF ( q_p(k,j,i) < 0.0 ) q_p(k,j,i) = 0.1 * q(k,j,i)
627	ENDDO
628
629	!
630	!-- Calculate tendencies for the next Runge-Kutta step
631	IF ( timestep_scheme(1:5) == 'runge' ) THEN
632	IF ( intermediate_timestep_count == 1 ) THEN
633	DO k = nzb_s_inner(j,i)+1, nzt
634	tq_m(k,j,i) = tend(k,j,i)
635	ENDDO
636	ELSEIF ( intermediate_timestep_count < &
637	intermediate_timestep_count_max ) THEN
638	DO k = nzb_s_inner(j,i)+1, nzt
639	tq_m(k,j,i) = -9.5625 * tend(k,j,i) + &
640	5.3125 * tq_m(k,j,i)
641	ENDDO
642	ENDIF
643	ENDIF
644
645	!
646	!-- If required, calculate prognostic equations for rain water content
647	!-- and rain drop concentration
648	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
649	precipitation ) THEN
650	!
651	!-- Calculate prognostic equation for rain water content
652	tend(:,j,i) = 0.0
653	IF ( timestep_scheme(1:5) == 'runge' ) &
654	THEN
655	IF ( ws_scheme_sca ) THEN
656	CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, &
657	diss_s_qr, flux_l_qr, diss_l_qr, &
658	i_omp_start, tn )
659	ELSE
660	CALL advec_s_pw( i, j, qr )
661	ENDIF
662	ELSE
663	CALL advec_s_up( i, j, qr )
664	ENDIF
665	CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux )
666	!
667	!-- Using microphysical tendencies (autoconversion, accretion,
668	!-- evaporation; if required: sedimentation)
669	tend(:,j,i) = tend(:,j,i) + tend_qr(:,j,i)
670
671	CALL user_actions( i, j, 'qr-tendency' )
672	!
673	!-- Prognostic equation for rain water content
674	DO k = nzb_s_inner(j,i)+1, nzt
675	qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
676	tsc(3) * tqr_m(k,j,i) ) &
677	- tsc(5) * rdf_sc(k) * qr(k,j,i)
678	IF ( qr_p(k,j,i) < 0.0 ) qr_p(k,j,i) = 0.0
679	ENDDO
680	!
681	!-- Calculate tendencies for the next Runge-Kutta step
682	IF ( timestep_scheme(1:5) == 'runge' ) THEN
683	IF ( intermediate_timestep_count == 1 ) THEN
684	DO k = nzb_s_inner(j,i)+1, nzt
685	tqr_m(k,j,i) = tend(k,j,i)
686	ENDDO
687	ELSEIF ( intermediate_timestep_count < &
688	intermediate_timestep_count_max ) THEN
689	DO k = nzb_s_inner(j,i)+1, nzt
690	tqr_m(k,j,i) = -9.5625 * tend(k,j,i) + &
691	5.3125 * tqr_m(k,j,i)
692	ENDDO
693	ENDIF
694	ENDIF
695
696	!
697	!-- Calculate prognostic equation for rain drop concentration.
698	tend(:,j,i) = 0.0
699	IF ( timestep_scheme(1:5) == 'runge' ) THEN
700	IF ( ws_scheme_sca ) THEN
701	CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, &
702	diss_s_nr, flux_l_nr, diss_l_nr, &
703	i_omp_start, tn )
704	ELSE
705	CALL advec_s_pw( i, j, nr )
706	ENDIF
707	ELSE
708	CALL advec_s_up( i, j, nr )
709	ENDIF
710	CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux )
711	!
712	!-- Using microphysical tendencies (autoconversion, accretion,
713	!-- selfcollection, breakup, evaporation;
714	!-- if required: sedimentation)
715	tend(:,j,i) = tend(:,j,i) + tend_nr(:,j,i)
716
717	CALL user_actions( i, j, 'nr-tendency' )
718	!
719	!-- Prognostic equation for rain drop concentration
720	DO k = nzb_s_inner(j,i)+1, nzt
721	nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
722	tsc(3) * tnr_m(k,j,i) ) &
723	- tsc(5) * rdf_sc(k) * nr(k,j,i)
724	IF ( nr_p(k,j,i) < 0.0 ) nr_p(k,j,i) = 0.0
725	ENDDO
726	!
727	!-- Calculate tendencies for the next Runge-Kutta step
728	IF ( timestep_scheme(1:5) == 'runge' ) THEN
729	IF ( intermediate_timestep_count == 1 ) THEN
730	DO k = nzb_s_inner(j,i)+1, nzt
731	tnr_m(k,j,i) = tend(k,j,i)
732	ENDDO
733	ELSEIF ( intermediate_timestep_count < &
734	intermediate_timestep_count_max ) THEN
735	DO k = nzb_s_inner(j,i)+1, nzt
736	tnr_m(k,j,i) = -9.5625 * tend(k,j,i) + &
737	5.3125 * tnr_m(k,j,i)
738	ENDDO
739	ENDIF
740	ENDIF
741
742	ENDIF
743
744	ENDIF
745
746	!
747	!-- If required, compute prognostic equation for turbulent kinetic
748	!-- energy (TKE)
749	IF ( .NOT. constant_diffusion ) THEN
750
751	!
752	!-- Tendency-terms for TKE
753	tend(:,j,i) = 0.0
754	IF ( timestep_scheme(1:5) == 'runge' &
755	.AND. .NOT. use_upstream_for_tke ) THEN
756	IF ( ws_scheme_sca ) THEN
757	CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, &
758	flux_l_e, diss_l_e , i_omp_start, tn )
759	ELSE
760	CALL advec_s_pw( i, j, e )
761	ENDIF
762	ELSE
763	CALL advec_s_up( i, j, e )
764	ENDIF
765	IF ( .NOT. humidity ) THEN
766	IF ( ocean ) THEN
767	CALL diffusion_e( i, j, prho, prho_reference )
768	ELSE
769	CALL diffusion_e( i, j, pt, pt_reference )
770	ENDIF
771	ELSE
772	CALL diffusion_e( i, j, vpt, pt_reference )
773	ENDIF
774	CALL production_e( i, j )
775
776	!
777	!-- Additional sink term for flows through plant canopies
778	IF ( plant_canopy ) CALL plant_canopy_model( i, j, 6 )
779
780	CALL user_actions( i, j, 'e-tendency' )
781
782	!
783	!-- Prognostic equation for TKE.
784	!-- Eliminate negative TKE values, which can occur due to numerical
785	!-- reasons in the course of the integration. In such cases the old
786	!-- TKE value is reduced by 90%.
787	DO k = nzb_s_inner(j,i)+1, nzt
788	e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
789	tsc(3) * te_m(k,j,i) )
790	IF ( e_p(k,j,i) < 0.0 ) e_p(k,j,i) = 0.1 * e(k,j,i)
791	ENDDO
792
793	!
794	!-- Calculate tendencies for the next Runge-Kutta step
795	IF ( timestep_scheme(1:5) == 'runge' ) THEN
796	IF ( intermediate_timestep_count == 1 ) THEN
797	DO k = nzb_s_inner(j,i)+1, nzt
798	te_m(k,j,i) = tend(k,j,i)
799	ENDDO
800	ELSEIF ( intermediate_timestep_count < &
801	intermediate_timestep_count_max ) THEN
802	DO k = nzb_s_inner(j,i)+1, nzt
803	te_m(k,j,i) = -9.5625 * tend(k,j,i) + &
804	5.3125 * te_m(k,j,i)
805	ENDDO
806	ENDIF
807	ENDIF
808
809	ENDIF ! TKE equation
810
811	ENDDO
812	ENDDO
813	!$OMP END PARALLEL
814
815	CALL cpu_log( log_point(32), 'all progn.equations', 'stop' )
816
817
818	END SUBROUTINE prognostic_equations_cache
819
820
821	SUBROUTINE prognostic_equations_vector
822
823	!------------------------------------------------------------------------------!
824	! Version for vector machines
825	!------------------------------------------------------------------------------!
826
827	IMPLICIT NONE
828
829	INTEGER :: i, j, k
830	REAL :: sbt
831
832
833	!
834	!-- u-velocity component
835	CALL cpu_log( log_point(5), 'u-equation', 'start' )
836
837	tend = 0.0
838	IF ( timestep_scheme(1:5) == 'runge' ) THEN
839	IF ( ws_scheme_mom ) THEN
840	CALL advec_u_ws
841	ELSE
842	CALL advec_u_pw
843	ENDIF
844	ELSE
845	CALL advec_u_up
846	ENDIF
847	CALL diffusion_u
848	CALL coriolis( 1 )
849	IF ( sloping_surface .AND. .NOT. neutral ) THEN
850	CALL buoyancy( pt, 1 )
851	ENDIF
852
853	!
854	!-- Drag by plant canopy
855	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
856
857	!
858	!-- External pressure gradient
859	IF ( dp_external ) THEN
860	DO i = nxlu, nxr
861	DO j = nys, nyn
862	DO k = dp_level_ind_b+1, nzt
863	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
864	ENDDO
865	ENDDO
866	ENDDO
867	ENDIF
868
869	!
870	!-- Nudging
871	IF ( nudging ) CALL nudge( simulated_time, 'u' )
872
873	CALL user_actions( 'u-tendency' )
874
875	!
876	!-- Prognostic equation for u-velocity component
877	DO i = nxlu, nxr
878	DO j = nys, nyn
879	DO k = nzb_u_inner(j,i)+1, nzt
880	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
881	tsc(3) * tu_m(k,j,i) ) &
882	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
883	ENDDO
884	ENDDO
885	ENDDO
886
887	!
888	!-- Calculate tendencies for the next Runge-Kutta step
889	IF ( timestep_scheme(1:5) == 'runge' ) THEN
890	IF ( intermediate_timestep_count == 1 ) THEN
891	DO i = nxlu, nxr
892	DO j = nys, nyn
893	DO k = nzb_u_inner(j,i)+1, nzt
894	tu_m(k,j,i) = tend(k,j,i)
895	ENDDO
896	ENDDO
897	ENDDO
898	ELSEIF ( intermediate_timestep_count < &
899	intermediate_timestep_count_max ) THEN
900	DO i = nxlu, nxr
901	DO j = nys, nyn
902	DO k = nzb_u_inner(j,i)+1, nzt
903	tu_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tu_m(k,j,i)
904	ENDDO
905	ENDDO
906	ENDDO
907	ENDIF
908	ENDIF
909
910	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
911
912	!
913	!-- v-velocity component
914	CALL cpu_log( log_point(6), 'v-equation', 'start' )
915
916	tend = 0.0
917	IF ( timestep_scheme(1:5) == 'runge' ) THEN
918	IF ( ws_scheme_mom ) THEN
919	CALL advec_v_ws
920	ELSE
921	CALL advec_v_pw
922	END IF
923	ELSE
924	CALL advec_v_up
925	ENDIF
926	CALL diffusion_v
927	CALL coriolis( 2 )
928
929	!
930	!-- Drag by plant canopy
931	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
932
933	!
934	!-- External pressure gradient
935	IF ( dp_external ) THEN
936	DO i = nxl, nxr
937	DO j = nysv, nyn
938	DO k = dp_level_ind_b+1, nzt
939	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
940	ENDDO
941	ENDDO
942	ENDDO
943	ENDIF
944
945	!
946	!-- Nudging
947	IF ( nudging ) CALL nudge( simulated_time, 'v' )
948
949	CALL user_actions( 'v-tendency' )
950
951	!
952	!-- Prognostic equation for v-velocity component
953	DO i = nxl, nxr
954	DO j = nysv, nyn
955	DO k = nzb_v_inner(j,i)+1, nzt
956	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
957	tsc(3) * tv_m(k,j,i) ) &
958	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
959	ENDDO
960	ENDDO
961	ENDDO
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	DO i = nxl, nxr
968	DO j = nysv, nyn
969	DO k = nzb_v_inner(j,i)+1, nzt
970	tv_m(k,j,i) = tend(k,j,i)
971	ENDDO
972	ENDDO
973	ENDDO
974	ELSEIF ( intermediate_timestep_count < &
975	intermediate_timestep_count_max ) THEN
976	DO i = nxl, nxr
977	DO j = nysv, nyn
978	DO k = nzb_v_inner(j,i)+1, nzt
979	tv_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tv_m(k,j,i)
980	ENDDO
981	ENDDO
982	ENDDO
983	ENDIF
984	ENDIF
985
986	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
987
988	!
989	!-- w-velocity component
990	CALL cpu_log( log_point(7), 'w-equation', 'start' )
991
992	tend = 0.0
993	IF ( timestep_scheme(1:5) == 'runge' ) THEN
994	IF ( ws_scheme_mom ) THEN
995	CALL advec_w_ws
996	ELSE
997	CALL advec_w_pw
998	ENDIF
999	ELSE
1000	CALL advec_w_up
1001	ENDIF
1002	CALL diffusion_w
1003	CALL coriolis( 3 )
1004
1005	IF ( .NOT. neutral ) THEN
1006	IF ( ocean ) THEN
1007	CALL buoyancy( rho, 3 )
1008	ELSE
1009	IF ( .NOT. humidity ) THEN
1010	CALL buoyancy( pt, 3 )
1011	ELSE
1012	CALL buoyancy( vpt, 3 )
1013	ENDIF
1014	ENDIF
1015	ENDIF
1016
1017	!
1018	!-- Drag by plant canopy
1019	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
1020
1021	CALL user_actions( 'w-tendency' )
1022
1023	!
1024	!-- Prognostic equation for w-velocity component
1025	DO i = nxl, nxr
1026	DO j = nys, nyn
1027	DO k = nzb_w_inner(j,i)+1, nzt-1
1028	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
1029	tsc(3) * tw_m(k,j,i) ) &
1030	- tsc(5) * rdf(k) * w(k,j,i)
1031	ENDDO
1032	ENDDO
1033	ENDDO
1034
1035	!
1036	!-- Calculate tendencies for the next Runge-Kutta step
1037	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1038	IF ( intermediate_timestep_count == 1 ) THEN
1039	DO i = nxl, nxr
1040	DO j = nys, nyn
1041	DO k = nzb_w_inner(j,i)+1, nzt-1
1042	tw_m(k,j,i) = tend(k,j,i)
1043	ENDDO
1044	ENDDO
1045	ENDDO
1046	ELSEIF ( intermediate_timestep_count < &
1047	intermediate_timestep_count_max ) THEN
1048	DO i = nxl, nxr
1049	DO j = nys, nyn
1050	DO k = nzb_w_inner(j,i)+1, nzt-1
1051	tw_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tw_m(k,j,i)
1052	ENDDO
1053	ENDDO
1054	ENDDO
1055	ENDIF
1056	ENDIF
1057
1058	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
1059
1060
1061	!
1062	!-- If required, compute prognostic equation for potential temperature
1063	IF ( .NOT. neutral ) THEN
1064
1065	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
1066
1067	!
1068	!-- pt-tendency terms with communication
1069	sbt = tsc(2)
1070	IF ( scalar_advec == 'bc-scheme' ) THEN
1071
1072	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1073	!
1074	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1075	sbt = 1.0
1076	ENDIF
1077	tend = 0.0
1078	CALL advec_s_bc( pt, 'pt' )
1079
1080	ENDIF
1081
1082	!
1083	!-- pt-tendency terms with no communication
1084	IF ( scalar_advec /= 'bc-scheme' ) THEN
1085	tend = 0.0
1086	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1087	IF ( ws_scheme_sca ) THEN
1088	CALL advec_s_ws( pt, 'pt' )
1089	ELSE
1090	CALL advec_s_pw( pt )
1091	ENDIF
1092	ELSE
1093	CALL advec_s_up( pt )
1094	ENDIF
1095	ENDIF
1096
1097	CALL diffusion_s( pt, shf, tswst, wall_heatflux )
1098
1099	!
1100	!-- If required compute heating/cooling due to long wave radiation processes
1101	IF ( radiation ) THEN
1102	CALL calc_radiation
1103	ENDIF
1104
1105	!
1106	!-- If required compute impact of latent heat due to precipitation
1107	IF ( precipitation ) THEN
1108	CALL impact_of_latent_heat
1109	ENDIF
1110
1111	!
1112	!-- Consideration of heat sources within the plant canopy
1113	IF ( plant_canopy .AND. ( cthf /= 0.0 ) ) THEN
1114	CALL plant_canopy_model( 4 )
1115	ENDIF
1116
1117	!
1118	!-- If required compute influence of large-scale subsidence/ascent
1119	IF ( large_scale_subsidence ) THEN
1120	CALL subsidence( tend, pt, pt_init )
1121	ENDIF
1122
1123	!
1124	!-- Nudging
1125	IF ( nudging ) CALL nudge( simulated_time, 'pt' )
1126
1127	CALL user_actions( 'pt-tendency' )
1128
1129	!
1130	!-- Prognostic equation for potential temperature
1131	DO i = nxl, nxr
1132	DO j = nys, nyn
1133	DO k = nzb_s_inner(j,i)+1, nzt
1134	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1135	tsc(3) * tpt_m(k,j,i) ) &
1136	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
1137	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
1138	ENDDO
1139	ENDDO
1140	ENDDO
1141
1142	!
1143	!-- Calculate tendencies for the next Runge-Kutta step
1144	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1145	IF ( intermediate_timestep_count == 1 ) THEN
1146	DO i = nxl, nxr
1147	DO j = nys, nyn
1148	DO k = nzb_s_inner(j,i)+1, nzt
1149	tpt_m(k,j,i) = tend(k,j,i)
1150	ENDDO
1151	ENDDO
1152	ENDDO
1153	ELSEIF ( intermediate_timestep_count < &
1154	intermediate_timestep_count_max ) THEN
1155	DO i = nxl, nxr
1156	DO j = nys, nyn
1157	DO k = nzb_s_inner(j,i)+1, nzt
1158	tpt_m(k,j,i) = -9.5625 * tend(k,j,i) + &
1159	5.3125 * tpt_m(k,j,i)
1160	ENDDO
1161	ENDDO
1162	ENDDO
1163	ENDIF
1164	ENDIF
1165
1166	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
1167
1168	ENDIF
1169
1170	!
1171	!-- If required, compute prognostic equation for salinity
1172	IF ( ocean ) THEN
1173
1174	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
1175
1176	!
1177	!-- sa-tendency terms with communication
1178	sbt = tsc(2)
1179	IF ( scalar_advec == 'bc-scheme' ) THEN
1180
1181	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1182	!
1183	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1184	sbt = 1.0
1185	ENDIF
1186	tend = 0.0
1187	CALL advec_s_bc( sa, 'sa' )
1188
1189	ENDIF
1190
1191	!
1192	!-- sa-tendency terms with no communication
1193	IF ( scalar_advec /= 'bc-scheme' ) THEN
1194	tend = 0.0
1195	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1196	IF ( ws_scheme_sca ) THEN
1197	CALL advec_s_ws( sa, 'sa' )
1198	ELSE
1199	CALL advec_s_pw( sa )
1200	ENDIF
1201	ELSE
1202	CALL advec_s_up( sa )
1203	ENDIF
1204	ENDIF
1205
1206	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
1207
1208	CALL user_actions( 'sa-tendency' )
1209
1210	!
1211	!-- Prognostic equation for salinity
1212	DO i = nxl, nxr
1213	DO j = nys, nyn
1214	DO k = nzb_s_inner(j,i)+1, nzt
1215	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1216	tsc(3) * tsa_m(k,j,i) ) &
1217	- tsc(5) * rdf_sc(k) * &
1218	( sa(k,j,i) - sa_init(k) )
1219	IF ( sa_p(k,j,i) < 0.0 ) sa_p(k,j,i) = 0.1 * sa(k,j,i)
1220	ENDDO
1221	ENDDO
1222	ENDDO
1223
1224	!
1225	!-- Calculate tendencies for the next Runge-Kutta step
1226	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1227	IF ( intermediate_timestep_count == 1 ) THEN
1228	DO i = nxl, nxr
1229	DO j = nys, nyn
1230	DO k = nzb_s_inner(j,i)+1, nzt
1231	tsa_m(k,j,i) = tend(k,j,i)
1232	ENDDO
1233	ENDDO
1234	ENDDO
1235	ELSEIF ( intermediate_timestep_count < &
1236	intermediate_timestep_count_max ) THEN
1237	DO i = nxl, nxr
1238	DO j = nys, nyn
1239	DO k = nzb_s_inner(j,i)+1, nzt
1240	tsa_m(k,j,i) = -9.5625 * tend(k,j,i) + &
1241	5.3125 * tsa_m(k,j,i)
1242	ENDDO
1243	ENDDO
1244	ENDDO
1245	ENDIF
1246	ENDIF
1247
1248	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
1249
1250	!
1251	!-- Calculate density by the equation of state for seawater
1252	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
1253	CALL eqn_state_seawater
1254	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
1255
1256	ENDIF
1257
1258	!
1259	!-- If required, compute prognostic equation for total water content / scalar
1260	IF ( humidity .OR. passive_scalar ) THEN
1261
1262	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
1263
1264	!
1265	!-- Scalar/q-tendency terms with communication
1266	sbt = tsc(2)
1267	IF ( scalar_advec == 'bc-scheme' ) THEN
1268
1269	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1270	!
1271	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1272	sbt = 1.0
1273	ENDIF
1274	tend = 0.0
1275	CALL advec_s_bc( q, 'q' )
1276
1277	ENDIF
1278
1279	!
1280	!-- Scalar/q-tendency terms with no communication
1281	IF ( scalar_advec /= 'bc-scheme' ) THEN
1282	tend = 0.0
1283	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1284	IF ( ws_scheme_sca ) THEN
1285	CALL advec_s_ws( q, 'q' )
1286	ELSE
1287	CALL advec_s_pw( q )
1288	ENDIF
1289	ELSE
1290	CALL advec_s_up( q )
1291	ENDIF
1292	ENDIF
1293
1294	CALL diffusion_s( q, qsws, qswst, wall_qflux )
1295
1296	!
1297	!-- If required compute decrease of total water content due to
1298	!-- precipitation
1299	IF ( precipitation ) THEN
1300	CALL calc_precipitation
1301	ENDIF
1302
1303	!
1304	!-- Sink or source of scalar concentration due to canopy elements
1305	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
1306
1307	!
1308	!-- If required compute influence of large-scale subsidence/ascent
1309	IF ( large_scale_subsidence ) THEN
1310	CALL subsidence( tend, q, q_init )
1311	ENDIF
1312
1313	!
1314	!-- Nudging
1315	IF ( nudging ) CALL nudge( simulated_time, 'q' )
1316
1317	CALL user_actions( 'q-tendency' )
1318
1319	!
1320	!-- Prognostic equation for total water content / scalar
1321	DO i = nxl, nxr
1322	DO j = nys, nyn
1323	DO k = nzb_s_inner(j,i)+1, nzt
1324	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1325	tsc(3) * tq_m(k,j,i) ) &
1326	- tsc(5) * rdf_sc(k) * &
1327	( q(k,j,i) - q_init(k) )
1328	IF ( q_p(k,j,i) < 0.0 ) q_p(k,j,i) = 0.1 * q(k,j,i)
1329	ENDDO
1330	ENDDO
1331	ENDDO
1332
1333	!
1334	!-- Calculate tendencies for the next Runge-Kutta step
1335	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1336	IF ( intermediate_timestep_count == 1 ) THEN
1337	DO i = nxl, nxr
1338	DO j = nys, nyn
1339	DO k = nzb_s_inner(j,i)+1, nzt
1340	tq_m(k,j,i) = tend(k,j,i)
1341	ENDDO
1342	ENDDO
1343	ENDDO
1344	ELSEIF ( intermediate_timestep_count < &
1345	intermediate_timestep_count_max ) THEN
1346	DO i = nxl, nxr
1347	DO j = nys, nyn
1348	DO k = nzb_s_inner(j,i)+1, nzt
1349	tq_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tq_m(k,j,i)
1350	ENDDO
1351	ENDDO
1352	ENDDO
1353	ENDIF
1354	ENDIF
1355
1356	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
1357
1358	ENDIF
1359
1360	!
1361	!-- If required, compute prognostic equation for turbulent kinetic
1362	!-- energy (TKE)
1363	IF ( .NOT. constant_diffusion ) THEN
1364
1365	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
1366
1367	sbt = tsc(2)
1368	IF ( .NOT. use_upstream_for_tke ) THEN
1369	IF ( scalar_advec == 'bc-scheme' ) THEN
1370
1371	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1372	!
1373	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1374	sbt = 1.0
1375	ENDIF
1376	tend = 0.0
1377	CALL advec_s_bc( e, 'e' )
1378
1379	ENDIF
1380	ENDIF
1381
1382	!
1383	!-- TKE-tendency terms with no communication
1384	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
1385	IF ( use_upstream_for_tke ) THEN
1386	tend = 0.0
1387	CALL advec_s_up( e )
1388	ELSE
1389	tend = 0.0
1390	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1391	IF ( ws_scheme_sca ) THEN
1392	CALL advec_s_ws( e, 'e' )
1393	ELSE
1394	CALL advec_s_pw( e )
1395	ENDIF
1396	ELSE
1397	CALL advec_s_up( e )
1398	ENDIF
1399	ENDIF
1400	ENDIF
1401
1402	IF ( .NOT. humidity ) THEN
1403	IF ( ocean ) THEN
1404	CALL diffusion_e( prho, prho_reference )
1405	ELSE
1406	CALL diffusion_e( pt, pt_reference )
1407	ENDIF
1408	ELSE
1409	CALL diffusion_e( vpt, pt_reference )
1410	ENDIF
1411
1412	CALL production_e
1413
1414	!
1415	!-- Additional sink term for flows through plant canopies
1416	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
1417	CALL user_actions( 'e-tendency' )
1418
1419	!
1420	!-- Prognostic equation for TKE.
1421	!-- Eliminate negative TKE values, which can occur due to numerical
1422	!-- reasons in the course of the integration. In such cases the old TKE
1423	!-- value is reduced by 90%.
1424	DO i = nxl, nxr
1425	DO j = nys, nyn
1426	DO k = nzb_s_inner(j,i)+1, nzt
1427	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1428	tsc(3) * te_m(k,j,i) )
1429	IF ( e_p(k,j,i) < 0.0 ) e_p(k,j,i) = 0.1 * e(k,j,i)
1430	ENDDO
1431	ENDDO
1432	ENDDO
1433
1434	!
1435	!-- Calculate tendencies for the next Runge-Kutta step
1436	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1437	IF ( intermediate_timestep_count == 1 ) THEN
1438	DO i = nxl, nxr
1439	DO j = nys, nyn
1440	DO k = nzb_s_inner(j,i)+1, nzt
1441	te_m(k,j,i) = tend(k,j,i)
1442	ENDDO
1443	ENDDO
1444	ENDDO
1445	ELSEIF ( intermediate_timestep_count < &
1446	intermediate_timestep_count_max ) THEN
1447	DO i = nxl, nxr
1448	DO j = nys, nyn
1449	DO k = nzb_s_inner(j,i)+1, nzt
1450	te_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * te_m(k,j,i)
1451	ENDDO
1452	ENDDO
1453	ENDDO
1454	ENDIF
1455	ENDIF
1456
1457	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
1458
1459	ENDIF
1460
1461
1462	END SUBROUTINE prognostic_equations_vector
1463
1464
1465	SUBROUTINE prognostic_equations_acc
1466
1467	!------------------------------------------------------------------------------!
1468	! Version for accelerator boards
1469	!------------------------------------------------------------------------------!
1470
1471	IMPLICIT NONE
1472
1473	INTEGER :: i, j, k, runge_step
1474	REAL :: sbt
1475
1476	!
1477	!-- Set switch for intermediate Runge-Kutta step
1478	runge_step = 0
1479	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1480	IF ( intermediate_timestep_count == 1 ) THEN
1481	runge_step = 1
1482	ELSEIF ( intermediate_timestep_count < &
1483	intermediate_timestep_count_max ) THEN
1484	runge_step = 2
1485	ENDIF
1486	ENDIF
1487
1488	!
1489	!-- u-velocity component
1490	!++ Statistics still not ported to accelerators
1491	!$acc update device( hom, ref_state )
1492	CALL cpu_log( log_point(5), 'u-equation', 'start' )
1493
1494	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1495	IF ( ws_scheme_mom ) THEN
1496	CALL advec_u_ws_acc
1497	ELSE
1498	tend = 0.0 ! to be removed later??
1499	CALL advec_u_pw
1500	ENDIF
1501	ELSE
1502	CALL advec_u_up
1503	ENDIF
1504	CALL diffusion_u_acc
1505	CALL coriolis_acc( 1 )
1506	IF ( sloping_surface .AND. .NOT. neutral ) THEN
1507	CALL buoyancy( pt, 1 )
1508	ENDIF
1509
1510	!
1511	!-- Drag by plant canopy
1512	IF ( plant_canopy ) CALL plant_canopy_model( 1 )
1513
1514	!
1515	!-- External pressure gradient
1516	IF ( dp_external ) THEN
1517	DO i = i_left, i_right
1518	DO j = j_south, j_north
1519	DO k = dp_level_ind_b+1, nzt
1520	tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k)
1521	ENDDO
1522	ENDDO
1523	ENDDO
1524	ENDIF
1525
1526	CALL user_actions( 'u-tendency' )
1527
1528	!
1529	!-- Prognostic equation for u-velocity component
1530	!$acc kernels present( nzb_u_inner, rdf, tend, tu_m, u, ug, u_p )
1531	!$acc loop
1532	DO i = i_left, i_right
1533	DO j = j_south, j_north
1534	!$acc loop vector( 32 )
1535	DO k = 1, nzt
1536	IF ( k > nzb_u_inner(j,i) ) THEN
1537	u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
1538	tsc(3) * tu_m(k,j,i) ) &
1539	- tsc(5) * rdf(k) * ( u(k,j,i) - ug(k) )
1540	!
1541	!-- Tendencies for the next Runge-Kutta step
1542	IF ( runge_step == 1 ) THEN
1543	tu_m(k,j,i) = tend(k,j,i)
1544	ELSEIF ( runge_step == 2 ) THEN
1545	tu_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tu_m(k,j,i)
1546	ENDIF
1547	ENDIF
1548	ENDDO
1549	ENDDO
1550	ENDDO
1551	!$acc end kernels
1552
1553	CALL cpu_log( log_point(5), 'u-equation', 'stop' )
1554
1555	!
1556	!-- v-velocity component
1557	CALL cpu_log( log_point(6), 'v-equation', 'start' )
1558
1559	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1560	IF ( ws_scheme_mom ) THEN
1561	CALL advec_v_ws_acc
1562	ELSE
1563	tend = 0.0 ! to be removed later??
1564	CALL advec_v_pw
1565	END IF
1566	ELSE
1567	CALL advec_v_up
1568	ENDIF
1569	CALL diffusion_v_acc
1570	CALL coriolis_acc( 2 )
1571
1572	!
1573	!-- Drag by plant canopy
1574	IF ( plant_canopy ) CALL plant_canopy_model( 2 )
1575
1576	!
1577	!-- External pressure gradient
1578	IF ( dp_external ) THEN
1579	DO i = i_left, i_right
1580	DO j = j_south, j_north
1581	DO k = dp_level_ind_b+1, nzt
1582	tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k)
1583	ENDDO
1584	ENDDO
1585	ENDDO
1586	ENDIF
1587
1588	CALL user_actions( 'v-tendency' )
1589
1590	!
1591	!-- Prognostic equation for v-velocity component
1592	!$acc kernels present( nzb_v_inner, rdf, tend, tv_m, v, vg, v_p )
1593	!$acc loop
1594	DO i = i_left, i_right
1595	DO j = j_south, j_north
1596	!$acc loop vector( 32 )
1597	DO k = 1, nzt
1598	IF ( k > nzb_v_inner(j,i) ) THEN
1599	v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
1600	tsc(3) * tv_m(k,j,i) ) &
1601	- tsc(5) * rdf(k) * ( v(k,j,i) - vg(k) )
1602	!
1603	!-- Tendencies for the next Runge-Kutta step
1604	IF ( runge_step == 1 ) THEN
1605	tv_m(k,j,i) = tend(k,j,i)
1606	ELSEIF ( runge_step == 2 ) THEN
1607	tv_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tv_m(k,j,i)
1608	ENDIF
1609	ENDIF
1610	ENDDO
1611	ENDDO
1612	ENDDO
1613	!$acc end kernels
1614
1615	CALL cpu_log( log_point(6), 'v-equation', 'stop' )
1616
1617	!
1618	!-- w-velocity component
1619	CALL cpu_log( log_point(7), 'w-equation', 'start' )
1620
1621	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1622	IF ( ws_scheme_mom ) THEN
1623	CALL advec_w_ws_acc
1624	ELSE
1625	tend = 0.0 ! to be removed later??
1626	CALL advec_w_pw
1627	ENDIF
1628	ELSE
1629	CALL advec_w_up
1630	ENDIF
1631	CALL diffusion_w_acc
1632	CALL coriolis_acc( 3 )
1633
1634	IF ( .NOT. neutral ) THEN
1635	IF ( ocean ) THEN
1636	CALL buoyancy( rho, 3 )
1637	ELSE
1638	IF ( .NOT. humidity ) THEN
1639	CALL buoyancy_acc( pt, 3 )
1640	ELSE
1641	CALL buoyancy( vpt, 3 )
1642	ENDIF
1643	ENDIF
1644	ENDIF
1645
1646	!
1647	!-- Drag by plant canopy
1648	IF ( plant_canopy ) CALL plant_canopy_model( 3 )
1649
1650	CALL user_actions( 'w-tendency' )
1651
1652	!
1653	!-- Prognostic equation for w-velocity component
1654	!$acc kernels present( nzb_w_inner, rdf, tend, tw_m, w, w_p )
1655	!$acc loop
1656	DO i = i_left, i_right
1657	DO j = j_south, j_north
1658	!$acc loop vector( 32 )
1659	DO k = 1, nzt-1
1660	IF ( k > nzb_w_inner(j,i) ) THEN
1661	w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + &
1662	tsc(3) * tw_m(k,j,i) ) &
1663	- tsc(5) * rdf(k) * w(k,j,i)
1664	!
1665	!-- Tendencies for the next Runge-Kutta step
1666	IF ( runge_step == 1 ) THEN
1667	tw_m(k,j,i) = tend(k,j,i)
1668	ELSEIF ( runge_step == 2 ) THEN
1669	tw_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tw_m(k,j,i)
1670	ENDIF
1671	ENDIF
1672	ENDDO
1673	ENDDO
1674	ENDDO
1675	!$acc end kernels
1676
1677	CALL cpu_log( log_point(7), 'w-equation', 'stop' )
1678
1679
1680	!
1681	!-- If required, compute prognostic equation for potential temperature
1682	IF ( .NOT. neutral ) THEN
1683
1684	CALL cpu_log( log_point(13), 'pt-equation', 'start' )
1685
1686	!
1687	!-- pt-tendency terms with communication
1688	sbt = tsc(2)
1689	IF ( scalar_advec == 'bc-scheme' ) THEN
1690
1691	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1692	!
1693	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1694	sbt = 1.0
1695	ENDIF
1696	tend = 0.0
1697	CALL advec_s_bc( pt, 'pt' )
1698
1699	ENDIF
1700
1701	!
1702	!-- pt-tendency terms with no communication
1703	IF ( scalar_advec /= 'bc-scheme' ) THEN
1704	tend = 0.0
1705	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1706	IF ( ws_scheme_sca ) THEN
1707	CALL advec_s_ws_acc( pt, 'pt' )
1708	ELSE
1709	tend = 0.0 ! to be removed later??
1710	CALL advec_s_pw( pt )
1711	ENDIF
1712	ELSE
1713	CALL advec_s_up( pt )
1714	ENDIF
1715	ENDIF
1716
1717	CALL diffusion_s_acc( pt, shf, tswst, wall_heatflux )
1718
1719	!
1720	!-- If required compute heating/cooling due to long wave radiation processes
1721	IF ( radiation ) THEN
1722	CALL calc_radiation
1723	ENDIF
1724
1725	!
1726	!-- If required compute impact of latent heat due to precipitation
1727	IF ( precipitation ) THEN
1728	CALL impact_of_latent_heat
1729	ENDIF
1730
1731	!
1732	!-- Consideration of heat sources within the plant canopy
1733	IF ( plant_canopy .AND. ( cthf /= 0.0 ) ) THEN
1734	CALL plant_canopy_model( 4 )
1735	ENDIF
1736
1737	!
1738	!-- If required compute influence of large-scale subsidence/ascent
1739	IF ( large_scale_subsidence ) THEN
1740	CALL subsidence( tend, pt, pt_init )
1741	ENDIF
1742
1743	CALL user_actions( 'pt-tendency' )
1744
1745	!
1746	!-- Prognostic equation for potential temperature
1747	!$acc kernels present( nzb_s_inner, rdf_sc, ptdf_x, ptdf_y, pt_init ) &
1748	!$acc present( tend, tpt_m, pt, pt_p )
1749	!$acc loop
1750	DO i = i_left, i_right
1751	DO j = j_south, j_north
1752	!$acc loop vector( 32 )
1753	DO k = 1, nzt
1754	IF ( k > nzb_s_inner(j,i) ) THEN
1755	pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1756	tsc(3) * tpt_m(k,j,i) ) &
1757	- tsc(5) * ( pt(k,j,i) - pt_init(k) ) *&
1758	( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) )
1759	!
1760	!-- Tendencies for the next Runge-Kutta step
1761	IF ( runge_step == 1 ) THEN
1762	tpt_m(k,j,i) = tend(k,j,i)
1763	ELSEIF ( runge_step == 2 ) THEN
1764	tpt_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tpt_m(k,j,i)
1765	ENDIF
1766	ENDIF
1767	ENDDO
1768	ENDDO
1769	ENDDO
1770	!$acc end kernels
1771
1772	CALL cpu_log( log_point(13), 'pt-equation', 'stop' )
1773
1774	ENDIF
1775
1776	!
1777	!-- If required, compute prognostic equation for salinity
1778	IF ( ocean ) THEN
1779
1780	CALL cpu_log( log_point(37), 'sa-equation', 'start' )
1781
1782	!
1783	!-- sa-tendency terms with communication
1784	sbt = tsc(2)
1785	IF ( scalar_advec == 'bc-scheme' ) THEN
1786
1787	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1788	!
1789	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1790	sbt = 1.0
1791	ENDIF
1792	tend = 0.0
1793	CALL advec_s_bc( sa, 'sa' )
1794
1795	ENDIF
1796
1797	!
1798	!-- sa-tendency terms with no communication
1799	IF ( scalar_advec /= 'bc-scheme' ) THEN
1800	tend = 0.0
1801	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1802	IF ( ws_scheme_sca ) THEN
1803	CALL advec_s_ws( sa, 'sa' )
1804	ELSE
1805	CALL advec_s_pw( sa )
1806	ENDIF
1807	ELSE
1808	CALL advec_s_up( sa )
1809	ENDIF
1810	ENDIF
1811
1812	CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux )
1813
1814	CALL user_actions( 'sa-tendency' )
1815
1816	!
1817	!-- Prognostic equation for salinity
1818	DO i = i_left, i_right
1819	DO j = j_south, j_north
1820	DO k = nzb_s_inner(j,i)+1, nzt
1821	sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1822	tsc(3) * tsa_m(k,j,i) ) &
1823	- tsc(5) * rdf_sc(k) * &
1824	( sa(k,j,i) - sa_init(k) )
1825	IF ( sa_p(k,j,i) < 0.0 ) sa_p(k,j,i) = 0.1 * sa(k,j,i)
1826	!
1827	!-- Tendencies for the next Runge-Kutta step
1828	IF ( runge_step == 1 ) THEN
1829	tsa_m(k,j,i) = tend(k,j,i)
1830	ELSEIF ( runge_step == 2 ) THEN
1831	tsa_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tsa_m(k,j,i)
1832	ENDIF
1833	ENDDO
1834	ENDDO
1835	ENDDO
1836
1837	CALL cpu_log( log_point(37), 'sa-equation', 'stop' )
1838
1839	!
1840	!-- Calculate density by the equation of state for seawater
1841	CALL cpu_log( log_point(38), 'eqns-seawater', 'start' )
1842	CALL eqn_state_seawater
1843	CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' )
1844
1845	ENDIF
1846
1847	!
1848	!-- If required, compute prognostic equation for total water content / scalar
1849	IF ( humidity .OR. passive_scalar ) THEN
1850
1851	CALL cpu_log( log_point(29), 'q/s-equation', 'start' )
1852
1853	!
1854	!-- Scalar/q-tendency terms with communication
1855	sbt = tsc(2)
1856	IF ( scalar_advec == 'bc-scheme' ) THEN
1857
1858	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1859	!
1860	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1861	sbt = 1.0
1862	ENDIF
1863	tend = 0.0
1864	CALL advec_s_bc( q, 'q' )
1865
1866	ENDIF
1867
1868	!
1869	!-- Scalar/q-tendency terms with no communication
1870	IF ( scalar_advec /= 'bc-scheme' ) THEN
1871	tend = 0.0
1872	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1873	IF ( ws_scheme_sca ) THEN
1874	CALL advec_s_ws( q, 'q' )
1875	ELSE
1876	CALL advec_s_pw( q )
1877	ENDIF
1878	ELSE
1879	CALL advec_s_up( q )
1880	ENDIF
1881	ENDIF
1882
1883	CALL diffusion_s( q, qsws, qswst, wall_qflux )
1884
1885	!
1886	!-- If required compute decrease of total water content due to
1887	!-- precipitation
1888	IF ( precipitation ) THEN
1889	CALL calc_precipitation
1890	ENDIF
1891
1892	!
1893	!-- Sink or source of scalar concentration due to canopy elements
1894	IF ( plant_canopy ) CALL plant_canopy_model( 5 )
1895
1896	!
1897	!-- If required compute influence of large-scale subsidence/ascent
1898	IF ( large_scale_subsidence ) THEN
1899	CALL subsidence( tend, q, q_init )
1900	ENDIF
1901
1902	CALL user_actions( 'q-tendency' )
1903
1904	!
1905	!-- Prognostic equation for total water content / scalar
1906	DO i = i_left, i_right
1907	DO j = j_south, j_north
1908	DO k = nzb_s_inner(j,i)+1, nzt
1909	q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
1910	tsc(3) * tq_m(k,j,i) ) &
1911	- tsc(5) * rdf_sc(k) * &
1912	( q(k,j,i) - q_init(k) )
1913	IF ( q_p(k,j,i) < 0.0 ) q_p(k,j,i) = 0.1 * q(k,j,i)
1914	!
1915	!-- Tendencies for the next Runge-Kutta step
1916	IF ( runge_step == 1 ) THEN
1917	tq_m(k,j,i) = tend(k,j,i)
1918	ELSEIF ( runge_step == 2 ) THEN
1919	tq_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * tq_m(k,j,i)
1920	ENDIF
1921	ENDDO
1922	ENDDO
1923	ENDDO
1924
1925	CALL cpu_log( log_point(29), 'q/s-equation', 'stop' )
1926
1927	ENDIF
1928
1929	!
1930	!-- If required, compute prognostic equation for turbulent kinetic
1931	!-- energy (TKE)
1932	IF ( .NOT. constant_diffusion ) THEN
1933
1934	CALL cpu_log( log_point(16), 'tke-equation', 'start' )
1935
1936	sbt = tsc(2)
1937	IF ( .NOT. use_upstream_for_tke ) THEN
1938	IF ( scalar_advec == 'bc-scheme' ) THEN
1939
1940	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
1941	!
1942	!-- Bott-Chlond scheme always uses Euler time step. Thus:
1943	sbt = 1.0
1944	ENDIF
1945	tend = 0.0
1946	CALL advec_s_bc( e, 'e' )
1947
1948	ENDIF
1949	ENDIF
1950
1951	!
1952	!-- TKE-tendency terms with no communication
1953	IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN
1954	IF ( use_upstream_for_tke ) THEN
1955	tend = 0.0
1956	CALL advec_s_up( e )
1957	ELSE
1958	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1959	IF ( ws_scheme_sca ) THEN
1960	CALL advec_s_ws_acc( e, 'e' )
1961	ELSE
1962	tend = 0.0 ! to be removed later??
1963	CALL advec_s_pw( e )
1964	ENDIF
1965	ELSE
1966	tend = 0.0 ! to be removed later??
1967	CALL advec_s_up( e )
1968	ENDIF
1969	ENDIF
1970	ENDIF
1971
1972	IF ( .NOT. humidity ) THEN
1973	IF ( ocean ) THEN
1974	CALL diffusion_e( prho, prho_reference )
1975	ELSE
1976	CALL diffusion_e_acc( pt, pt_reference )
1977	ENDIF
1978	ELSE
1979	CALL diffusion_e( vpt, pt_reference )
1980	ENDIF
1981
1982	CALL production_e_acc
1983
1984	!
1985	!-- Additional sink term for flows through plant canopies
1986	IF ( plant_canopy ) CALL plant_canopy_model( 6 )
1987	CALL user_actions( 'e-tendency' )
1988
1989	!
1990	!-- Prognostic equation for TKE.
1991	!-- Eliminate negative TKE values, which can occur due to numerical
1992	!-- reasons in the course of the integration. In such cases the old TKE
1993	!-- value is reduced by 90%.
1994	!$acc kernels present( e, e_p, nzb_s_inner, tend, te_m )
1995	!$acc loop
1996	DO i = i_left, i_right
1997	DO j = j_south, j_north
1998	!$acc loop vector( 32 )
1999	DO k = 1, nzt
2000	IF ( k > nzb_s_inner(j,i) ) THEN
2001	e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + &
2002	tsc(3) * te_m(k,j,i) )
2003	IF ( e_p(k,j,i) < 0.0 ) e_p(k,j,i) = 0.1 * e(k,j,i)
2004	!
2005	!-- Tendencies for the next Runge-Kutta step
2006	IF ( runge_step == 1 ) THEN
2007	te_m(k,j,i) = tend(k,j,i)
2008	ELSEIF ( runge_step == 2 ) THEN
2009	te_m(k,j,i) = -9.5625 * tend(k,j,i) + 5.3125 * te_m(k,j,i)
2010	ENDIF
2011	ENDIF
2012	ENDDO
2013	ENDDO
2014	ENDDO
2015	!$acc end kernels
2016
2017	CALL cpu_log( log_point(16), 'tke-equation', 'stop' )
2018
2019	ENDIF
2020
2021
2022	END SUBROUTINE prognostic_equations_acc
2023
2024
2025	END MODULE prognostic_equations_mod

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