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source: palm/trunk/SOURCE/diffusion_e.f90 @ 1835

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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 1832 2016-04-07 13:28:15Z raasch $
26	!
27	! 1831 2016-04-07 13:15:51Z hoffmann
28	! turbulence renamed collision_turbulence
29	!
30	! 1682 2015-10-07 23:56:08Z knoop
31	! Code annotations made doxygen readable
32	!
33	! 1374 2014-04-25 12:55:07Z raasch
34	! missing variables added to ONLY list
35	! rif removed from acc-present-list
36	!
37	! 1340 2014-03-25 19:45:13Z kanani
38	! REAL constants defined as wp-kind
39	!
40	! 1320 2014-03-20 08:40:49Z raasch
41	! ONLY-attribute added to USE-statements,
42	! kind-parameters added to all INTEGER and REAL declaration statements,
43	! kinds are defined in new module kinds,
44	! revision history before 2012 removed,
45	! comment fields (!:) to be used for variable explanations added to
46	! all variable declaration statements
47	!
48	! 1257 2013-11-08 15:18:40Z raasch
49	! openacc loop and loop vector clauses removed
50	!
51	! 1179 2013-06-14 05:57:58Z raasch
52	! use_reference renamed use_single_reference_value
53	!
54	! 1171 2013-05-30 11:27:45Z raasch
55	! use_reference-case activated in accelerator version
56	!
57	! 1128 2013-04-12 06:19:32Z raasch
58	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
59	! j_north
60	!
61	! 1065 2012-11-22 17:42:36Z hoffmann
62	! Enabled the claculation of diss in case of turbulence = .TRUE. (parameterized
63	! effects of turbulence on autoconversion and accretion in two-moments cloud
64	! physics scheme).
65	!
66	! 1036 2012-10-22 13:43:42Z raasch
67	! code put under GPL (PALM 3.9)
68	!
69	! 1015 2012-09-27 09:23:24Z raasch
70	! accelerator version (*_acc) added,
71	! adjustment of mixing length to the Prandtl mixing length at first grid point
72	! above ground removed
73	!
74	! 1010 2012-09-20 07:59:54Z raasch
75	! cpp switch __nopointer added for pointer free version
76	!
77	! 1001 2012-09-13 14:08:46Z raasch
78	! most arrays comunicated by module instead of parameter list
79	!
80	! 825 2012-02-19 03:03:44Z raasch
81	! wang_collision_kernel renamed wang_kernel
82	!
83	! Revision 1.1 1997/09/19 07:40:24 raasch
84	! Initial revision
85	!
86	!
87	! Description:
88	! ------------
89	!> Diffusion- and dissipation terms for the TKE
90	!------------------------------------------------------------------------------!
91	MODULE diffusion_e_mod
92
93
94	PRIVATE
95	PUBLIC diffusion_e, diffusion_e_acc
96
97
98	INTERFACE diffusion_e
99	MODULE PROCEDURE diffusion_e
100	MODULE PROCEDURE diffusion_e_ij
101	END INTERFACE diffusion_e
102
103	INTERFACE diffusion_e_acc
104	MODULE PROCEDURE diffusion_e_acc
105	END INTERFACE diffusion_e_acc
106
107	CONTAINS
108
109
110	!------------------------------------------------------------------------------!
111	! Description:
112	! ------------
113	!> Call for all grid points
114	!------------------------------------------------------------------------------!
115	SUBROUTINE diffusion_e( var, var_reference )
116
117	USE arrays_3d, &
118	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
119
120	USE control_parameters, &
121	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
122	wall_adjustment, wall_adjustment_factor
123
124	USE cloud_parameters, &
125	ONLY: collision_turbulence
126
127	USE grid_variables, &
128	ONLY: ddx2, ddy2
129
130	USE indices, &
131	ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_s_inner,&
132	nzt
133
134	USE kinds
135
136	USE particle_attributes, &
137	ONLY: use_sgs_for_particles, wang_kernel
138
139	IMPLICIT NONE
140
141	INTEGER(iwp) :: i !<
142	INTEGER(iwp) :: j !<
143	INTEGER(iwp) :: k !<
144	REAL(wp) :: dvar_dz !<
145	REAL(wp) :: l_stable !<
146	REAL(wp) :: var_reference !<
147
148	#if defined( __nopointer )
149	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
150	#else
151	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
152	#endif
153	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation !<
154	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: l !<
155	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: ll !<
156
157
158	!
159	!-- This if clause must be outside the k-loop because otherwise
160	!-- runtime errors occur with -C hopt on NEC
161	IF ( use_single_reference_value ) THEN
162
163	DO i = nxl, nxr
164	DO j = nys, nyn
165	DO k = nzb_s_inner(j,i)+1, nzt
166	!
167	!-- Calculate the mixing length (for dissipation)
168	dvar_dz = atmos_ocean_sign * &
169	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
170	IF ( dvar_dz > 0.0_wp ) THEN
171	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
172	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
173	ELSE
174	l_stable = l_grid(k)
175	ENDIF
176	!
177	!-- Adjustment of the mixing length
178	IF ( wall_adjustment ) THEN
179	l(k,j) = MIN( wall_adjustment_factor * &
180	( zu(k) - zw(nzb_s_inner(j,i)) ), &
181	l_grid(k), l_stable )
182	ll(k,j) = MIN( wall_adjustment_factor * &
183	( zu(k) - zw(nzb_s_inner(j,i)) ), &
184	l_grid(k) )
185	ELSE
186	l(k,j) = MIN( l_grid(k), l_stable )
187	ll(k,j) = l_grid(k)
188	ENDIF
189
190	ENDDO
191	ENDDO
192
193	!
194	!-- Calculate the tendency terms
195	DO j = nys, nyn
196	DO k = nzb_s_inner(j,i)+1, nzt
197
198	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
199	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
200
201	tend(k,j,i) = tend(k,j,i) &
202	+ ( &
203	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
204	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
205	) * ddx2 &
206	+ ( &
207	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
208	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
209	) * ddy2 &
210	+ ( &
211	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
212	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
213	) * ddzw(k) &
214	- dissipation(k,j)
215
216	ENDDO
217	ENDDO
218
219	!
220	!-- Store dissipation if needed for calculating the sgs particle
221	!-- velocities
222	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
223	collision_turbulence ) THEN
224	DO j = nys, nyn
225	DO k = nzb_s_inner(j,i)+1, nzt
226	diss(k,j,i) = dissipation(k,j)
227	ENDDO
228	ENDDO
229	ENDIF
230
231	ENDDO
232
233	ELSE
234
235	DO i = nxl, nxr
236	DO j = nys, nyn
237	DO k = nzb_s_inner(j,i)+1, nzt
238	!
239	!-- Calculate the mixing length (for dissipation)
240	dvar_dz = atmos_ocean_sign * &
241	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
242	IF ( dvar_dz > 0.0_wp ) THEN
243	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
244	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
245	ELSE
246	l_stable = l_grid(k)
247	ENDIF
248	!
249	!-- Adjustment of the mixing length
250	IF ( wall_adjustment ) THEN
251	l(k,j) = MIN( wall_adjustment_factor * &
252	( zu(k) - zw(nzb_s_inner(j,i)) ), &
253	l_grid(k), l_stable )
254	ll(k,j) = MIN( wall_adjustment_factor * &
255	( zu(k) - zw(nzb_s_inner(j,i)) ), &
256	l_grid(k) )
257	ELSE
258	l(k,j) = MIN( l_grid(k), l_stable )
259	ll(k,j) = l_grid(k)
260	ENDIF
261
262	ENDDO
263	ENDDO
264
265	!
266	!-- Calculate the tendency terms
267	DO j = nys, nyn
268	DO k = nzb_s_inner(j,i)+1, nzt
269
270	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
271	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
272
273	tend(k,j,i) = tend(k,j,i) &
274	+ ( &
275	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
276	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
277	) * ddx2 &
278	+ ( &
279	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
280	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
281	) * ddy2 &
282	+ ( &
283	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
284	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
285	) * ddzw(k) &
286	- dissipation(k,j)
287
288	ENDDO
289	ENDDO
290
291	!
292	!-- Store dissipation if needed for calculating the sgs particle
293	!-- velocities
294	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
295	collision_turbulence ) THEN
296	DO j = nys, nyn
297	DO k = nzb_s_inner(j,i)+1, nzt
298	diss(k,j,i) = dissipation(k,j)
299	ENDDO
300	ENDDO
301	ENDIF
302
303	ENDDO
304
305	ENDIF
306
307	!
308	!-- Boundary condition for dissipation
309	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
310	collision_turbulence ) THEN
311	DO i = nxl, nxr
312	DO j = nys, nyn
313	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
314	ENDDO
315	ENDDO
316	ENDIF
317
318	END SUBROUTINE diffusion_e
319
320
321	!------------------------------------------------------------------------------!
322	! Description:
323	! ------------
324	!> Call for all grid points - accelerator version
325	!------------------------------------------------------------------------------!
326	SUBROUTINE diffusion_e_acc( var, var_reference )
327
328	USE arrays_3d, &
329	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
330
331	USE control_parameters, &
332	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
333	wall_adjustment, wall_adjustment_factor
334
335	USE cloud_parameters, &
336	ONLY: collision_turbulence
337
338	USE grid_variables, &
339	ONLY: ddx2, ddy2
340
341	USE indices, &
342	ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, &
343	nzb, nzb_s_inner, nzt
344
345	USE kinds
346
347	USE particle_attributes, &
348	ONLY: use_sgs_for_particles, wang_kernel
349
350	IMPLICIT NONE
351
352	INTEGER(iwp) :: i !<
353	INTEGER(iwp) :: j !<
354	INTEGER(iwp) :: k !<
355	REAL(wp) :: dissipation !<
356	REAL(wp) :: dvar_dz !<
357	REAL(wp) :: l !<
358	REAL(wp) :: ll !<
359	REAL(wp) :: l_stable !<
360	REAL(wp) :: var_reference !<
361
362	#if defined( __nopointer )
363	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
364	#else
365	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
366	#endif
367
368
369	!
370	!-- This if clause must be outside the k-loop because otherwise
371	!-- runtime errors occur with -C hopt on NEC
372	IF ( use_single_reference_value ) THEN
373
374	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
375	!$acc present( nzb_s_inner, tend, var, zu, zw )
376	DO i = i_left, i_right
377	DO j = j_south, j_north
378	DO k = 1, nzt
379
380	IF ( k > nzb_s_inner(j,i) ) THEN
381	!
382	!-- Calculate the mixing length (for dissipation)
383	dvar_dz = atmos_ocean_sign * &
384	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
385	IF ( dvar_dz > 0.0_wp ) THEN
386	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
387	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
388	ELSE
389	l_stable = l_grid(k)
390	ENDIF
391	!
392	!-- Adjustment of the mixing length
393	IF ( wall_adjustment ) THEN
394	l = MIN( wall_adjustment_factor * &
395	( zu(k) - zw(nzb_s_inner(j,i)) ), &
396	l_grid(k), l_stable )
397	ll = MIN( wall_adjustment_factor * &
398	( zu(k) - zw(nzb_s_inner(j,i)) ), &
399	l_grid(k) )
400	ELSE
401	l = MIN( l_grid(k), l_stable )
402	ll = l_grid(k)
403	ENDIF
404	!
405	!-- Calculate the tendency terms
406	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
407	e(k,j,i) * SQRT( e(k,j,i) ) / l
408
409	tend(k,j,i) = tend(k,j,i) &
410	+ ( &
411	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
412	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
413	) * ddx2 &
414	+ ( &
415	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
416	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
417	) * ddy2 &
418	+ ( &
419	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
420	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
421	) * ddzw(k) &
422	- dissipation
423
424	!
425	!-- Store dissipation if needed for calculating the sgs particle
426	!-- velocities
427	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
428	collision_turbulence ) THEN
429	diss(k,j,i) = dissipation
430	ENDIF
431
432	ENDIF
433
434	ENDDO
435	ENDDO
436	ENDDO
437	!$acc end kernels
438
439	ELSE
440
441	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
442	!$acc present( nzb_s_inner, tend, var, zu, zw )
443	DO i = i_left, i_right
444	DO j = j_south, j_north
445	DO k = 1, nzt
446
447	IF ( k > nzb_s_inner(j,i) ) THEN
448	!
449	!-- Calculate the mixing length (for dissipation)
450	dvar_dz = atmos_ocean_sign * &
451	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
452	IF ( dvar_dz > 0.0_wp ) THEN
453	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
454	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
455	ELSE
456	l_stable = l_grid(k)
457	ENDIF
458	!
459	!-- Adjustment of the mixing length
460	IF ( wall_adjustment ) THEN
461	l = MIN( wall_adjustment_factor * &
462	( zu(k) - zw(nzb_s_inner(j,i)) ), &
463	l_grid(k), l_stable )
464	ll = MIN( wall_adjustment_factor * &
465	( zu(k) - zw(nzb_s_inner(j,i)) ), &
466	l_grid(k) )
467	ELSE
468	l = MIN( l_grid(k), l_stable )
469	ll = l_grid(k)
470	ENDIF
471	!
472	!-- Calculate the tendency terms
473	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
474	e(k,j,i) * SQRT( e(k,j,i) ) / l
475
476	tend(k,j,i) = tend(k,j,i) &
477	+ ( &
478	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
479	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
480	) * ddx2 &
481	+ ( &
482	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
483	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
484	) * ddy2 &
485	+ ( &
486	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
487	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
488	) * ddzw(k) &
489	- dissipation
490
491	!
492	!-- Store dissipation if needed for calculating the sgs
493	!-- particle velocities
494	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
495	collision_turbulence ) THEN
496	diss(k,j,i) = dissipation
497	ENDIF
498
499	ENDIF
500
501	ENDDO
502	ENDDO
503	ENDDO
504	!$acc end kernels
505
506	ENDIF
507
508	!
509	!-- Boundary condition for dissipation
510	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
511	collision_turbulence ) THEN
512	!$acc kernels present( diss, nzb_s_inner )
513	DO i = i_left, i_right
514	DO j = j_south, j_north
515	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
516	ENDDO
517	ENDDO
518	!$acc end kernels
519	ENDIF
520
521	END SUBROUTINE diffusion_e_acc
522
523
524	!------------------------------------------------------------------------------!
525	! Description:
526	! ------------
527	!> Call for grid point i,j
528	!------------------------------------------------------------------------------!
529	SUBROUTINE diffusion_e_ij( i, j, var, var_reference )
530
531	USE arrays_3d, &
532	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
533
534	USE control_parameters, &
535	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
536	wall_adjustment, wall_adjustment_factor
537
538	USE cloud_parameters, &
539	ONLY: collision_turbulence
540
541	USE grid_variables, &
542	ONLY: ddx2, ddy2
543
544	USE indices, &
545	ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner, nzt
546
547	USE kinds
548
549	USE particle_attributes, &
550	ONLY: use_sgs_for_particles, wang_kernel
551
552	IMPLICIT NONE
553
554	INTEGER(iwp) :: i !<
555	INTEGER(iwp) :: j !<
556	INTEGER(iwp) :: k !<
557	REAL(wp) :: dvar_dz !<
558	REAL(wp) :: l_stable !<
559	REAL(wp) :: var_reference !<
560
561	#if defined( __nopointer )
562	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
563	#else
564	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
565	#endif
566	REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !<
567	REAL(wp), DIMENSION(nzb+1:nzt) :: l !<
568	REAL(wp), DIMENSION(nzb+1:nzt) :: ll !<
569
570
571	!
572	!-- Calculate the mixing length (for dissipation)
573	DO k = nzb_s_inner(j,i)+1, nzt
574	dvar_dz = atmos_ocean_sign * &
575	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
576	IF ( dvar_dz > 0.0_wp ) THEN
577	IF ( use_single_reference_value ) THEN
578	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
579	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
580	ELSE
581	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
582	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
583	ENDIF
584	ELSE
585	l_stable = l_grid(k)
586	ENDIF
587	!
588	!-- Adjustment of the mixing length
589	IF ( wall_adjustment ) THEN
590	l(k) = MIN( wall_adjustment_factor * &
591	( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), &
592	l_stable )
593	ll(k) = MIN( wall_adjustment_factor * &
594	( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) )
595	ELSE
596	l(k) = MIN( l_grid(k), l_stable )
597	ll(k) = l_grid(k)
598	ENDIF
599	!
600	!-- Calculate the tendency term
601	dissipation(k) = ( 0.19_wp + 0.74_wp * l(k) / ll(k) ) * e(k,j,i) * &
602	SQRT( e(k,j,i) ) / l(k)
603
604	tend(k,j,i) = tend(k,j,i) &
605	+ ( &
606	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
607	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
608	) * ddx2 &
609	+ ( &
610	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
611	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
612	) * ddy2 &
613	+ ( &
614	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
615	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
616	) * ddzw(k) &
617	- dissipation(k)
618
619	ENDDO
620
621	!
622	!-- Store dissipation if needed for calculating the sgs particle velocities
623	IF ( use_sgs_for_particles .OR. wang_kernel .OR. collision_turbulence ) THEN
624	DO k = nzb_s_inner(j,i)+1, nzt
625	diss(k,j,i) = dissipation(k)
626	ENDDO
627	!
628	!-- Boundary condition for dissipation
629	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
630	ENDIF
631
632	END SUBROUTINE diffusion_e_ij
633
634	END MODULE diffusion_e_mod

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