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source: palm/trunk/SOURCE/diffusion_e.f90 @ 1817

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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 1997-2014 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: diffusion_e.f90 1683 2015-10-07 23:57:51Z maronga $
26	!
27	! 1682 2015-10-07 23:56:08Z knoop
28	! Code annotations made doxygen readable
29	!
30	! 1374 2014-04-25 12:55:07Z raasch
31	! missing variables added to ONLY list
32	! rif removed from acc-present-list
33	!
34	! 1340 2014-03-25 19:45:13Z kanani
35	! REAL constants defined as wp-kind
36	!
37	! 1320 2014-03-20 08:40:49Z raasch
38	! ONLY-attribute added to USE-statements,
39	! kind-parameters added to all INTEGER and REAL declaration statements,
40	! kinds are defined in new module kinds,
41	! revision history before 2012 removed,
42	! comment fields (!:) to be used for variable explanations added to
43	! all variable declaration statements
44	!
45	! 1257 2013-11-08 15:18:40Z raasch
46	! openacc loop and loop vector clauses removed
47	!
48	! 1179 2013-06-14 05:57:58Z raasch
49	! use_reference renamed use_single_reference_value
50	!
51	! 1171 2013-05-30 11:27:45Z raasch
52	! use_reference-case activated in accelerator version
53	!
54	! 1128 2013-04-12 06:19:32Z raasch
55	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
56	! j_north
57	!
58	! 1065 2012-11-22 17:42:36Z hoffmann
59	! Enabled the claculation of diss in case of turbulence = .TRUE. (parameterized
60	! effects of turbulence on autoconversion and accretion in two-moments cloud
61	! physics scheme).
62	!
63	! 1036 2012-10-22 13:43:42Z raasch
64	! code put under GPL (PALM 3.9)
65	!
66	! 1015 2012-09-27 09:23:24Z raasch
67	! accelerator version (*_acc) added,
68	! adjustment of mixing length to the Prandtl mixing length at first grid point
69	! above ground removed
70	!
71	! 1010 2012-09-20 07:59:54Z raasch
72	! cpp switch __nopointer added for pointer free version
73	!
74	! 1001 2012-09-13 14:08:46Z raasch
75	! most arrays comunicated by module instead of parameter list
76	!
77	! 825 2012-02-19 03:03:44Z raasch
78	! wang_collision_kernel renamed wang_kernel
79	!
80	! Revision 1.1 1997/09/19 07:40:24 raasch
81	! Initial revision
82	!
83	!
84	! Description:
85	! ------------
86	!> Diffusion- and dissipation terms for the TKE
87	!------------------------------------------------------------------------------!
88	MODULE diffusion_e_mod
89
90
91	PRIVATE
92	PUBLIC diffusion_e, diffusion_e_acc
93
94
95	INTERFACE diffusion_e
96	MODULE PROCEDURE diffusion_e
97	MODULE PROCEDURE diffusion_e_ij
98	END INTERFACE diffusion_e
99
100	INTERFACE diffusion_e_acc
101	MODULE PROCEDURE diffusion_e_acc
102	END INTERFACE diffusion_e_acc
103
104	CONTAINS
105
106
107	!------------------------------------------------------------------------------!
108	! Description:
109	! ------------
110	!> Call for all grid points
111	!------------------------------------------------------------------------------!
112	SUBROUTINE diffusion_e( var, var_reference )
113
114	USE arrays_3d, &
115	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
116
117	USE control_parameters, &
118	ONLY: atmos_ocean_sign, g, turbulence, use_single_reference_value, &
119	wall_adjustment, wall_adjustment_factor
120
121	USE grid_variables, &
122	ONLY: ddx2, ddy2
123
124	USE indices, &
125	ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_s_inner,&
126	nzt
127
128	USE kinds
129
130	USE particle_attributes, &
131	ONLY: use_sgs_for_particles, wang_kernel
132
133	IMPLICIT NONE
134
135	INTEGER(iwp) :: i !<
136	INTEGER(iwp) :: j !<
137	INTEGER(iwp) :: k !<
138	REAL(wp) :: dvar_dz !<
139	REAL(wp) :: l_stable !<
140	REAL(wp) :: var_reference !<
141
142	#if defined( __nopointer )
143	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
144	#else
145	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
146	#endif
147	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation !<
148	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: l !<
149	REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: ll !<
150
151
152	!
153	!-- This if clause must be outside the k-loop because otherwise
154	!-- runtime errors occur with -C hopt on NEC
155	IF ( use_single_reference_value ) THEN
156
157	DO i = nxl, nxr
158	DO j = nys, nyn
159	DO k = nzb_s_inner(j,i)+1, nzt
160	!
161	!-- Calculate the mixing length (for dissipation)
162	dvar_dz = atmos_ocean_sign * &
163	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
164	IF ( dvar_dz > 0.0_wp ) THEN
165	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
166	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
167	ELSE
168	l_stable = l_grid(k)
169	ENDIF
170	!
171	!-- Adjustment of the mixing length
172	IF ( wall_adjustment ) THEN
173	l(k,j) = MIN( wall_adjustment_factor * &
174	( zu(k) - zw(nzb_s_inner(j,i)) ), &
175	l_grid(k), l_stable )
176	ll(k,j) = MIN( wall_adjustment_factor * &
177	( zu(k) - zw(nzb_s_inner(j,i)) ), &
178	l_grid(k) )
179	ELSE
180	l(k,j) = MIN( l_grid(k), l_stable )
181	ll(k,j) = l_grid(k)
182	ENDIF
183
184	ENDDO
185	ENDDO
186
187	!
188	!-- Calculate the tendency terms
189	DO j = nys, nyn
190	DO k = nzb_s_inner(j,i)+1, nzt
191
192	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
193	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
194
195	tend(k,j,i) = tend(k,j,i) &
196	+ ( &
197	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
198	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
199	) * ddx2 &
200	+ ( &
201	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
202	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
203	) * ddy2 &
204	+ ( &
205	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
206	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
207	) * ddzw(k) &
208	- dissipation(k,j)
209
210	ENDDO
211	ENDDO
212
213	!
214	!-- Store dissipation if needed for calculating the sgs particle
215	!-- velocities
216	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
217	turbulence ) THEN
218	DO j = nys, nyn
219	DO k = nzb_s_inner(j,i)+1, nzt
220	diss(k,j,i) = dissipation(k,j)
221	ENDDO
222	ENDDO
223	ENDIF
224
225	ENDDO
226
227	ELSE
228
229	DO i = nxl, nxr
230	DO j = nys, nyn
231	DO k = nzb_s_inner(j,i)+1, nzt
232	!
233	!-- Calculate the mixing length (for dissipation)
234	dvar_dz = atmos_ocean_sign * &
235	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
236	IF ( dvar_dz > 0.0_wp ) THEN
237	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
238	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
239	ELSE
240	l_stable = l_grid(k)
241	ENDIF
242	!
243	!-- Adjustment of the mixing length
244	IF ( wall_adjustment ) THEN
245	l(k,j) = MIN( wall_adjustment_factor * &
246	( zu(k) - zw(nzb_s_inner(j,i)) ), &
247	l_grid(k), l_stable )
248	ll(k,j) = MIN( wall_adjustment_factor * &
249	( zu(k) - zw(nzb_s_inner(j,i)) ), &
250	l_grid(k) )
251	ELSE
252	l(k,j) = MIN( l_grid(k), l_stable )
253	ll(k,j) = l_grid(k)
254	ENDIF
255
256	ENDDO
257	ENDDO
258
259	!
260	!-- Calculate the tendency terms
261	DO j = nys, nyn
262	DO k = nzb_s_inner(j,i)+1, nzt
263
264	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
265	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
266
267	tend(k,j,i) = tend(k,j,i) &
268	+ ( &
269	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
270	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
271	) * ddx2 &
272	+ ( &
273	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
274	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
275	) * ddy2 &
276	+ ( &
277	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
278	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
279	) * ddzw(k) &
280	- dissipation(k,j)
281
282	ENDDO
283	ENDDO
284
285	!
286	!-- Store dissipation if needed for calculating the sgs particle
287	!-- velocities
288	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
289	turbulence ) THEN
290	DO j = nys, nyn
291	DO k = nzb_s_inner(j,i)+1, nzt
292	diss(k,j,i) = dissipation(k,j)
293	ENDDO
294	ENDDO
295	ENDIF
296
297	ENDDO
298
299	ENDIF
300
301	!
302	!-- Boundary condition for dissipation
303	IF ( use_sgs_for_particles .OR. wang_kernel .OR. turbulence ) THEN
304	DO i = nxl, nxr
305	DO j = nys, nyn
306	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
307	ENDDO
308	ENDDO
309	ENDIF
310
311	END SUBROUTINE diffusion_e
312
313
314	!------------------------------------------------------------------------------!
315	! Description:
316	! ------------
317	!> Call for all grid points - accelerator version
318	!------------------------------------------------------------------------------!
319	SUBROUTINE diffusion_e_acc( var, var_reference )
320
321	USE arrays_3d, &
322	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
323
324	USE control_parameters, &
325	ONLY: atmos_ocean_sign, g, turbulence, use_single_reference_value, &
326	wall_adjustment, wall_adjustment_factor
327
328	USE grid_variables, &
329	ONLY: ddx2, ddy2
330
331	USE indices, &
332	ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, &
333	nzb, nzb_s_inner, nzt
334
335	USE kinds
336
337	USE particle_attributes, &
338	ONLY: use_sgs_for_particles, wang_kernel
339
340	IMPLICIT NONE
341
342	INTEGER(iwp) :: i !<
343	INTEGER(iwp) :: j !<
344	INTEGER(iwp) :: k !<
345	REAL(wp) :: dissipation !<
346	REAL(wp) :: dvar_dz !<
347	REAL(wp) :: l !<
348	REAL(wp) :: ll !<
349	REAL(wp) :: l_stable !<
350	REAL(wp) :: var_reference !<
351
352	#if defined( __nopointer )
353	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
354	#else
355	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
356	#endif
357
358
359	!
360	!-- This if clause must be outside the k-loop because otherwise
361	!-- runtime errors occur with -C hopt on NEC
362	IF ( use_single_reference_value ) THEN
363
364	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
365	!$acc present( nzb_s_inner, tend, var, zu, zw )
366	DO i = i_left, i_right
367	DO j = j_south, j_north
368	DO k = 1, nzt
369
370	IF ( k > nzb_s_inner(j,i) ) THEN
371	!
372	!-- Calculate the mixing length (for dissipation)
373	dvar_dz = atmos_ocean_sign * &
374	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
375	IF ( dvar_dz > 0.0_wp ) THEN
376	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
377	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
378	ELSE
379	l_stable = l_grid(k)
380	ENDIF
381	!
382	!-- Adjustment of the mixing length
383	IF ( wall_adjustment ) THEN
384	l = MIN( wall_adjustment_factor * &
385	( zu(k) - zw(nzb_s_inner(j,i)) ), &
386	l_grid(k), l_stable )
387	ll = MIN( wall_adjustment_factor * &
388	( zu(k) - zw(nzb_s_inner(j,i)) ), &
389	l_grid(k) )
390	ELSE
391	l = MIN( l_grid(k), l_stable )
392	ll = l_grid(k)
393	ENDIF
394	!
395	!-- Calculate the tendency terms
396	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
397	e(k,j,i) * SQRT( e(k,j,i) ) / l
398
399	tend(k,j,i) = tend(k,j,i) &
400	+ ( &
401	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
402	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
403	) * ddx2 &
404	+ ( &
405	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
406	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
407	) * ddy2 &
408	+ ( &
409	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
410	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
411	) * ddzw(k) &
412	- dissipation
413
414	!
415	!-- Store dissipation if needed for calculating the sgs particle
416	!-- velocities
417	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
418	turbulence ) THEN
419	diss(k,j,i) = dissipation
420	ENDIF
421
422	ENDIF
423
424	ENDDO
425	ENDDO
426	ENDDO
427	!$acc end kernels
428
429	ELSE
430
431	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
432	!$acc present( nzb_s_inner, tend, var, zu, zw )
433	DO i = i_left, i_right
434	DO j = j_south, j_north
435	DO k = 1, nzt
436
437	IF ( k > nzb_s_inner(j,i) ) THEN
438	!
439	!-- Calculate the mixing length (for dissipation)
440	dvar_dz = atmos_ocean_sign * &
441	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
442	IF ( dvar_dz > 0.0_wp ) THEN
443	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
444	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
445	ELSE
446	l_stable = l_grid(k)
447	ENDIF
448	!
449	!-- Adjustment of the mixing length
450	IF ( wall_adjustment ) THEN
451	l = MIN( wall_adjustment_factor * &
452	( zu(k) - zw(nzb_s_inner(j,i)) ), &
453	l_grid(k), l_stable )
454	ll = MIN( wall_adjustment_factor * &
455	( zu(k) - zw(nzb_s_inner(j,i)) ), &
456	l_grid(k) )
457	ELSE
458	l = MIN( l_grid(k), l_stable )
459	ll = l_grid(k)
460	ENDIF
461	!
462	!-- Calculate the tendency terms
463	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
464	e(k,j,i) * SQRT( e(k,j,i) ) / l
465
466	tend(k,j,i) = tend(k,j,i) &
467	+ ( &
468	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
469	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
470	) * ddx2 &
471	+ ( &
472	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
473	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
474	) * ddy2 &
475	+ ( &
476	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
477	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
478	) * ddzw(k) &
479	- dissipation
480
481	!
482	!-- Store dissipation if needed for calculating the sgs
483	!-- particle velocities
484	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
485	turbulence ) THEN
486	diss(k,j,i) = dissipation
487	ENDIF
488
489	ENDIF
490
491	ENDDO
492	ENDDO
493	ENDDO
494	!$acc end kernels
495
496	ENDIF
497
498	!
499	!-- Boundary condition for dissipation
500	IF ( use_sgs_for_particles .OR. wang_kernel .OR. turbulence ) THEN
501	!$acc kernels present( diss, nzb_s_inner )
502	DO i = i_left, i_right
503	DO j = j_south, j_north
504	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
505	ENDDO
506	ENDDO
507	!$acc end kernels
508	ENDIF
509
510	END SUBROUTINE diffusion_e_acc
511
512
513	!------------------------------------------------------------------------------!
514	! Description:
515	! ------------
516	!> Call for grid point i,j
517	!------------------------------------------------------------------------------!
518	SUBROUTINE diffusion_e_ij( i, j, var, var_reference )
519
520	USE arrays_3d, &
521	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
522
523	USE control_parameters, &
524	ONLY: atmos_ocean_sign, g, turbulence, use_single_reference_value, &
525	wall_adjustment, wall_adjustment_factor
526
527	USE grid_variables, &
528	ONLY: ddx2, ddy2
529
530	USE indices, &
531	ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner, nzt
532
533	USE kinds
534
535	USE particle_attributes, &
536	ONLY: use_sgs_for_particles, wang_kernel
537
538	IMPLICIT NONE
539
540	INTEGER(iwp) :: i !<
541	INTEGER(iwp) :: j !<
542	INTEGER(iwp) :: k !<
543	REAL(wp) :: dvar_dz !<
544	REAL(wp) :: l_stable !<
545	REAL(wp) :: var_reference !<
546
547	#if defined( __nopointer )
548	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
549	#else
550	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
551	#endif
552	REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !<
553	REAL(wp), DIMENSION(nzb+1:nzt) :: l !<
554	REAL(wp), DIMENSION(nzb+1:nzt) :: ll !<
555
556
557	!
558	!-- Calculate the mixing length (for dissipation)
559	DO k = nzb_s_inner(j,i)+1, nzt
560	dvar_dz = atmos_ocean_sign * &
561	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
562	IF ( dvar_dz > 0.0_wp ) THEN
563	IF ( use_single_reference_value ) THEN
564	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
565	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
566	ELSE
567	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
568	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
569	ENDIF
570	ELSE
571	l_stable = l_grid(k)
572	ENDIF
573	!
574	!-- Adjustment of the mixing length
575	IF ( wall_adjustment ) THEN
576	l(k) = MIN( wall_adjustment_factor * &
577	( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), &
578	l_stable )
579	ll(k) = MIN( wall_adjustment_factor * &
580	( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) )
581	ELSE
582	l(k) = MIN( l_grid(k), l_stable )
583	ll(k) = l_grid(k)
584	ENDIF
585	!
586	!-- Calculate the tendency term
587	dissipation(k) = ( 0.19_wp + 0.74_wp * l(k) / ll(k) ) * e(k,j,i) * &
588	SQRT( e(k,j,i) ) / l(k)
589
590	tend(k,j,i) = tend(k,j,i) &
591	+ ( &
592	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
593	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
594	) * ddx2 &
595	+ ( &
596	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
597	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
598	) * ddy2 &
599	+ ( &
600	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
601	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
602	) * ddzw(k) &
603	- dissipation(k)
604
605	ENDDO
606
607	!
608	!-- Store dissipation if needed for calculating the sgs particle velocities
609	IF ( use_sgs_for_particles .OR. wang_kernel .OR. turbulence ) THEN
610	DO k = nzb_s_inner(j,i)+1, nzt
611	diss(k,j,i) = dissipation(k)
612	ENDDO
613	!
614	!-- Boundary condition for dissipation
615	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
616	ENDIF
617
618	END SUBROUTINE diffusion_e_ij
619
620	END MODULE diffusion_e_mod

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