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source: palm/trunk/SOURCE/diffusion_e.f90 @ 1985

Last change on this file since 1985 was 1874, checked in by maronga, 9 years ago
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1	!> @file diffusion_e.f90
2	!--------------------------------------------------------------------------------!
3	! This file is part of PALM.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms
6	! of the GNU General Public License as published by the Free Software Foundation,
7	! either version 3 of the License, or (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with
14	! PALM. If not, see <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2016 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: diffusion_e.f90 1874 2016-04-18 14:51:10Z suehring $
26	!
27	! 1873 2016-04-18 14:50:06Z maronga
28	! Module renamed (removed _mod)
29	!
30	!
31	! 1850 2016-04-08 13:29:27Z maronga
32	! Module renamed
33	! Adapted for modularization of microphysics
34	!
35	! 1831 2016-04-07 13:15:51Z hoffmann
36	! turbulence renamed collision_turbulence
37	!
38	! 1682 2015-10-07 23:56:08Z knoop
39	! Code annotations made doxygen readable
40	!
41	! 1374 2014-04-25 12:55:07Z raasch
42	! missing variables added to ONLY list
43	! rif removed from acc-present-list
44	!
45	! 1340 2014-03-25 19:45:13Z kanani
46	! REAL constants defined as wp-kind
47	!
48	! 1320 2014-03-20 08:40:49Z raasch
49	! ONLY-attribute added to USE-statements,
50	! kind-parameters added to all INTEGER and REAL declaration statements,
51	! kinds are defined in new module kinds,
52	! revision history before 2012 removed,
53	! comment fields (!:) to be used for variable explanations added to
54	! all variable declaration statements
55	!
56	! 1257 2013-11-08 15:18:40Z raasch
57	! openacc loop and loop vector clauses removed
58	!
59	! 1179 2013-06-14 05:57:58Z raasch
60	! use_reference renamed use_single_reference_value
61	!
62	! 1171 2013-05-30 11:27:45Z raasch
63	! use_reference-case activated in accelerator version
64	!
65	! 1128 2013-04-12 06:19:32Z raasch
66	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
67	! j_north
68	!
69	! 1065 2012-11-22 17:42:36Z hoffmann
70	! Enabled the claculation of diss in case of turbulence = .TRUE. (parameterized
71	! effects of turbulence on autoconversion and accretion in two-moments cloud
72	! physics scheme).
73	!
74	! 1036 2012-10-22 13:43:42Z raasch
75	! code put under GPL (PALM 3.9)
76	!
77	! 1015 2012-09-27 09:23:24Z raasch
78	! accelerator version (*_acc) added,
79	! adjustment of mixing length to the Prandtl mixing length at first grid point
80	! above ground removed
81	!
82	! 1010 2012-09-20 07:59:54Z raasch
83	! cpp switch __nopointer added for pointer free version
84	!
85	! 1001 2012-09-13 14:08:46Z raasch
86	! most arrays comunicated by module instead of parameter list
87	!
88	! 825 2012-02-19 03:03:44Z raasch
89	! wang_collision_kernel renamed wang_kernel
90	!
91	! Revision 1.1 1997/09/19 07:40:24 raasch
92	! Initial revision
93	!
94	!
95	! Description:
96	! ------------
97	!> Diffusion- and dissipation terms for the TKE
98	!------------------------------------------------------------------------------!
99	MODULE diffusion_e_mod
100
101
102	PRIVATE
103	PUBLIC diffusion_e, diffusion_e_acc
104
105
106	INTERFACE diffusion_e
107	MODULE PROCEDURE diffusion_e
108	MODULE PROCEDURE diffusion_e_ij
109	END INTERFACE diffusion_e
110
111	INTERFACE diffusion_e_acc
112	MODULE PROCEDURE diffusion_e_acc
113	END INTERFACE diffusion_e_acc
114
115	CONTAINS
116
117
118	!------------------------------------------------------------------------------!
119	! Description:
120	! ------------
121	!> Call for all grid points
122	!------------------------------------------------------------------------------!
123	SUBROUTINE diffusion_e( var, var_reference )
124
125	USE arrays_3d, &
126	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
127
128	USE control_parameters, &
129	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
130	wall_adjustment, wall_adjustment_factor
131
132	USE grid_variables, &
133	ONLY: ddx2, ddy2
134
135	USE indices, &
136	ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_s_inner,&
137	nzt
138
139	USE kinds
140
141	USE microphysics_mod, &
142	ONLY: collision_turbulence
143
144	USE particle_attributes, &
145	ONLY: use_sgs_for_particles, wang_kernel
146
147	IMPLICIT NONE
148
149	INTEGER(iwp) :: i !<
150	INTEGER(iwp) :: j !<
151	INTEGER(iwp) :: k !<
152	REAL(wp) :: dvar_dz !<
153	REAL(wp) :: l_stable !<
154	REAL(wp) :: var_reference !<
155
156	#if defined( __nopointer )
157	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
158	#else
159	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
160	#endif
161	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation !<
162	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: l !<
163	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: ll !<
164
165
166	!
167	!-- This if clause must be outside the k-loop because otherwise
168	!-- runtime errors occur with -C hopt on NEC
169	IF ( use_single_reference_value ) THEN
170
171	DO i = nxl, nxr
172	DO j = nys, nyn
173	DO k = nzb_s_inner(j,i)+1, nzt
174	!
175	!-- Calculate the mixing length (for dissipation)
176	dvar_dz = atmos_ocean_sign * &
177	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
178	IF ( dvar_dz > 0.0_wp ) THEN
179	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
180	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
181	ELSE
182	l_stable = l_grid(k)
183	ENDIF
184	!
185	!-- Adjustment of the mixing length
186	IF ( wall_adjustment ) THEN
187	l(k,j) = MIN( wall_adjustment_factor * &
188	( zu(k) - zw(nzb_s_inner(j,i)) ), &
189	l_grid(k), l_stable )
190	ll(k,j) = MIN( wall_adjustment_factor * &
191	( zu(k) - zw(nzb_s_inner(j,i)) ), &
192	l_grid(k) )
193	ELSE
194	l(k,j) = MIN( l_grid(k), l_stable )
195	ll(k,j) = l_grid(k)
196	ENDIF
197
198	ENDDO
199	ENDDO
200
201	!
202	!-- Calculate the tendency terms
203	DO j = nys, nyn
204	DO k = nzb_s_inner(j,i)+1, nzt
205
206	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
207	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
208
209	tend(k,j,i) = tend(k,j,i) &
210	+ ( &
211	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
212	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
213	) * ddx2 &
214	+ ( &
215	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
216	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
217	) * ddy2 &
218	+ ( &
219	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
220	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
221	) * ddzw(k) &
222	- dissipation(k,j)
223
224	ENDDO
225	ENDDO
226
227	!
228	!-- Store dissipation if needed for calculating the sgs particle
229	!-- velocities
230	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
231	collision_turbulence ) THEN
232	DO j = nys, nyn
233	DO k = nzb_s_inner(j,i)+1, nzt
234	diss(k,j,i) = dissipation(k,j)
235	ENDDO
236	ENDDO
237	ENDIF
238
239	ENDDO
240
241	ELSE
242
243	DO i = nxl, nxr
244	DO j = nys, nyn
245	DO k = nzb_s_inner(j,i)+1, nzt
246	!
247	!-- Calculate the mixing length (for dissipation)
248	dvar_dz = atmos_ocean_sign * &
249	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
250	IF ( dvar_dz > 0.0_wp ) THEN
251	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
252	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
253	ELSE
254	l_stable = l_grid(k)
255	ENDIF
256	!
257	!-- Adjustment of the mixing length
258	IF ( wall_adjustment ) THEN
259	l(k,j) = MIN( wall_adjustment_factor * &
260	( zu(k) - zw(nzb_s_inner(j,i)) ), &
261	l_grid(k), l_stable )
262	ll(k,j) = MIN( wall_adjustment_factor * &
263	( zu(k) - zw(nzb_s_inner(j,i)) ), &
264	l_grid(k) )
265	ELSE
266	l(k,j) = MIN( l_grid(k), l_stable )
267	ll(k,j) = l_grid(k)
268	ENDIF
269
270	ENDDO
271	ENDDO
272
273	!
274	!-- Calculate the tendency terms
275	DO j = nys, nyn
276	DO k = nzb_s_inner(j,i)+1, nzt
277
278	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
279	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
280
281	tend(k,j,i) = tend(k,j,i) &
282	+ ( &
283	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
284	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
285	) * ddx2 &
286	+ ( &
287	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
288	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
289	) * ddy2 &
290	+ ( &
291	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
292	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
293	) * ddzw(k) &
294	- dissipation(k,j)
295
296	ENDDO
297	ENDDO
298
299	!
300	!-- Store dissipation if needed for calculating the sgs particle
301	!-- velocities
302	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
303	collision_turbulence ) THEN
304	DO j = nys, nyn
305	DO k = nzb_s_inner(j,i)+1, nzt
306	diss(k,j,i) = dissipation(k,j)
307	ENDDO
308	ENDDO
309	ENDIF
310
311	ENDDO
312
313	ENDIF
314
315	!
316	!-- Boundary condition for dissipation
317	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
318	collision_turbulence ) THEN
319	DO i = nxl, nxr
320	DO j = nys, nyn
321	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
322	ENDDO
323	ENDDO
324	ENDIF
325
326	END SUBROUTINE diffusion_e
327
328
329	!------------------------------------------------------------------------------!
330	! Description:
331	! ------------
332	!> Call for all grid points - accelerator version
333	!------------------------------------------------------------------------------!
334	SUBROUTINE diffusion_e_acc( var, var_reference )
335
336	USE arrays_3d, &
337	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
338
339	USE control_parameters, &
340	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
341	wall_adjustment, wall_adjustment_factor
342
343	USE grid_variables, &
344	ONLY: ddx2, ddy2
345
346	USE indices, &
347	ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, &
348	nzb, nzb_s_inner, nzt
349
350	USE kinds
351
352	USE microphysics_mod, &
353	ONLY: collision_turbulence
354
355	USE particle_attributes, &
356	ONLY: use_sgs_for_particles, wang_kernel
357
358	IMPLICIT NONE
359
360	INTEGER(iwp) :: i !<
361	INTEGER(iwp) :: j !<
362	INTEGER(iwp) :: k !<
363	REAL(wp) :: dissipation !<
364	REAL(wp) :: dvar_dz !<
365	REAL(wp) :: l !<
366	REAL(wp) :: ll !<
367	REAL(wp) :: l_stable !<
368	REAL(wp) :: var_reference !<
369
370	#if defined( __nopointer )
371	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
372	#else
373	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
374	#endif
375
376
377	!
378	!-- This if clause must be outside the k-loop because otherwise
379	!-- runtime errors occur with -C hopt on NEC
380	IF ( use_single_reference_value ) THEN
381
382	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
383	!$acc present( nzb_s_inner, tend, var, zu, zw )
384	DO i = i_left, i_right
385	DO j = j_south, j_north
386	DO k = 1, nzt
387
388	IF ( k > nzb_s_inner(j,i) ) THEN
389	!
390	!-- Calculate the mixing length (for dissipation)
391	dvar_dz = atmos_ocean_sign * &
392	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
393	IF ( dvar_dz > 0.0_wp ) THEN
394	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
395	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
396	ELSE
397	l_stable = l_grid(k)
398	ENDIF
399	!
400	!-- Adjustment of the mixing length
401	IF ( wall_adjustment ) THEN
402	l = MIN( wall_adjustment_factor * &
403	( zu(k) - zw(nzb_s_inner(j,i)) ), &
404	l_grid(k), l_stable )
405	ll = MIN( wall_adjustment_factor * &
406	( zu(k) - zw(nzb_s_inner(j,i)) ), &
407	l_grid(k) )
408	ELSE
409	l = MIN( l_grid(k), l_stable )
410	ll = l_grid(k)
411	ENDIF
412	!
413	!-- Calculate the tendency terms
414	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
415	e(k,j,i) * SQRT( e(k,j,i) ) / l
416
417	tend(k,j,i) = tend(k,j,i) &
418	+ ( &
419	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
420	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
421	) * ddx2 &
422	+ ( &
423	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
424	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
425	) * ddy2 &
426	+ ( &
427	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
428	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
429	) * ddzw(k) &
430	- dissipation
431
432	!
433	!-- Store dissipation if needed for calculating the sgs particle
434	!-- velocities
435	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
436	collision_turbulence ) THEN
437	diss(k,j,i) = dissipation
438	ENDIF
439
440	ENDIF
441
442	ENDDO
443	ENDDO
444	ENDDO
445	!$acc end kernels
446
447	ELSE
448
449	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
450	!$acc present( nzb_s_inner, tend, var, zu, zw )
451	DO i = i_left, i_right
452	DO j = j_south, j_north
453	DO k = 1, nzt
454
455	IF ( k > nzb_s_inner(j,i) ) THEN
456	!
457	!-- Calculate the mixing length (for dissipation)
458	dvar_dz = atmos_ocean_sign * &
459	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
460	IF ( dvar_dz > 0.0_wp ) THEN
461	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
462	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
463	ELSE
464	l_stable = l_grid(k)
465	ENDIF
466	!
467	!-- Adjustment of the mixing length
468	IF ( wall_adjustment ) THEN
469	l = MIN( wall_adjustment_factor * &
470	( zu(k) - zw(nzb_s_inner(j,i)) ), &
471	l_grid(k), l_stable )
472	ll = MIN( wall_adjustment_factor * &
473	( zu(k) - zw(nzb_s_inner(j,i)) ), &
474	l_grid(k) )
475	ELSE
476	l = MIN( l_grid(k), l_stable )
477	ll = l_grid(k)
478	ENDIF
479	!
480	!-- Calculate the tendency terms
481	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
482	e(k,j,i) * SQRT( e(k,j,i) ) / l
483
484	tend(k,j,i) = tend(k,j,i) &
485	+ ( &
486	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
487	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
488	) * ddx2 &
489	+ ( &
490	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
491	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
492	) * ddy2 &
493	+ ( &
494	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
495	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
496	) * ddzw(k) &
497	- dissipation
498
499	!
500	!-- Store dissipation if needed for calculating the sgs
501	!-- particle velocities
502	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
503	collision_turbulence ) THEN
504	diss(k,j,i) = dissipation
505	ENDIF
506
507	ENDIF
508
509	ENDDO
510	ENDDO
511	ENDDO
512	!$acc end kernels
513
514	ENDIF
515
516	!
517	!-- Boundary condition for dissipation
518	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
519	collision_turbulence ) THEN
520	!$acc kernels present( diss, nzb_s_inner )
521	DO i = i_left, i_right
522	DO j = j_south, j_north
523	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
524	ENDDO
525	ENDDO
526	!$acc end kernels
527	ENDIF
528
529	END SUBROUTINE diffusion_e_acc
530
531
532	!------------------------------------------------------------------------------!
533	! Description:
534	! ------------
535	!> Call for grid point i,j
536	!------------------------------------------------------------------------------!
537	SUBROUTINE diffusion_e_ij( i, j, var, var_reference )
538
539	USE arrays_3d, &
540	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
541
542	USE control_parameters, &
543	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
544	wall_adjustment, wall_adjustment_factor
545
546	USE grid_variables, &
547	ONLY: ddx2, ddy2
548
549	USE indices, &
550	ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner, nzt
551
552	USE kinds
553
554	USE microphysics_mod, &
555	ONLY: collision_turbulence
556
557	USE particle_attributes, &
558	ONLY: use_sgs_for_particles, wang_kernel
559
560	IMPLICIT NONE
561
562	INTEGER(iwp) :: i !<
563	INTEGER(iwp) :: j !<
564	INTEGER(iwp) :: k !<
565	REAL(wp) :: dvar_dz !<
566	REAL(wp) :: l_stable !<
567	REAL(wp) :: var_reference !<
568
569	#if defined( __nopointer )
570	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
571	#else
572	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
573	#endif
574	REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !<
575	REAL(wp), DIMENSION(nzb+1:nzt) :: l !<
576	REAL(wp), DIMENSION(nzb+1:nzt) :: ll !<
577
578
579	!
580	!-- Calculate the mixing length (for dissipation)
581	DO k = nzb_s_inner(j,i)+1, nzt
582	dvar_dz = atmos_ocean_sign * &
583	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
584	IF ( dvar_dz > 0.0_wp ) THEN
585	IF ( use_single_reference_value ) THEN
586	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
587	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
588	ELSE
589	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
590	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
591	ENDIF
592	ELSE
593	l_stable = l_grid(k)
594	ENDIF
595	!
596	!-- Adjustment of the mixing length
597	IF ( wall_adjustment ) THEN
598	l(k) = MIN( wall_adjustment_factor * &
599	( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), &
600	l_stable )
601	ll(k) = MIN( wall_adjustment_factor * &
602	( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) )
603	ELSE
604	l(k) = MIN( l_grid(k), l_stable )
605	ll(k) = l_grid(k)
606	ENDIF
607	!
608	!-- Calculate the tendency term
609	dissipation(k) = ( 0.19_wp + 0.74_wp * l(k) / ll(k) ) * e(k,j,i) * &
610	SQRT( e(k,j,i) ) / l(k)
611
612	tend(k,j,i) = tend(k,j,i) &
613	+ ( &
614	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
615	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
616	) * ddx2 &
617	+ ( &
618	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
619	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
620	) * ddy2 &
621	+ ( &
622	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
623	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
624	) * ddzw(k) &
625	- dissipation(k)
626
627	ENDDO
628
629	!
630	!-- Store dissipation if needed for calculating the sgs particle velocities
631	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
632	collision_turbulence ) THEN
633	DO k = nzb_s_inner(j,i)+1, nzt
634	diss(k,j,i) = dissipation(k)
635	ENDDO
636	!
637	!-- Boundary condition for dissipation
638	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
639	ENDIF
640
641	END SUBROUTINE diffusion_e_ij
642
643	END MODULE diffusion_e_mod

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