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source: palm/trunk/SOURCE/diffusion_e.f90 @ 1832

Last change on this file since 1832 was 1832, checked in by hoffmann, 8 years ago
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[1682]	1	!> @file diffusion_e.f90
[1036]	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	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1]	20	! -----------------
[1832]	21	!
[1341]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: diffusion_e.f90 1832 2016-04-07 13:28:15Z hoffmann $
	26	!
[1832]	27	! 1831 2016-04-07 13:15:51Z hoffmann
	28	! turbulence renamed collision_turbulence
	29	!
[1683]	30	! 1682 2015-10-07 23:56:08Z knoop
	31	! Code annotations made doxygen readable
	32	!
[1375]	33	! 1374 2014-04-25 12:55:07Z raasch
	34	! missing variables added to ONLY list
	35	! rif removed from acc-present-list
	36	!
[1341]	37	! 1340 2014-03-25 19:45:13Z kanani
	38	! REAL constants defined as wp-kind
	39	!
[1321]	40	! 1320 2014-03-20 08:40:49Z raasch
[1320]	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
[98]	47	!
[1258]	48	! 1257 2013-11-08 15:18:40Z raasch
	49	! openacc loop and loop vector clauses removed
	50	!
[1182]	51	! 1179 2013-06-14 05:57:58Z raasch
	52	! use_reference renamed use_single_reference_value
	53	!
[1172]	54	! 1171 2013-05-30 11:27:45Z raasch
	55	! use_reference-case activated in accelerator version
	56	!
[1132]	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	!
[1066]	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	!
[1037]	66	! 1036 2012-10-22 13:43:42Z raasch
	67	! code put under GPL (PALM 3.9)
	68	!
[1017]	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	!
[1011]	74	! 1010 2012-09-20 07:59:54Z raasch
	75	! cpp switch __nopointer added for pointer free version
	76	!
[1002]	77	! 1001 2012-09-13 14:08:46Z raasch
	78	! most arrays comunicated by module instead of parameter list
	79	!
[826]	80	! 825 2012-02-19 03:03:44Z raasch
	81	! wang_collision_kernel renamed wang_kernel
	82	!
[1]	83	! Revision 1.1 1997/09/19 07:40:24 raasch
	84	! Initial revision
	85	!
	86	!
	87	! Description:
	88	! ------------
[1682]	89	!> Diffusion- and dissipation terms for the TKE
[1]	90	!------------------------------------------------------------------------------!
[1682]	91	MODULE diffusion_e_mod
	92
[1]	93
	94	PRIVATE
[1015]	95	PUBLIC diffusion_e, diffusion_e_acc
[1]	96
	97
	98	INTERFACE diffusion_e
	99	MODULE PROCEDURE diffusion_e
	100	MODULE PROCEDURE diffusion_e_ij
	101	END INTERFACE diffusion_e
	102
[1015]	103	INTERFACE diffusion_e_acc
	104	MODULE PROCEDURE diffusion_e_acc
	105	END INTERFACE diffusion_e_acc
	106
[1]	107	CONTAINS
	108
	109
	110	!------------------------------------------------------------------------------!
[1682]	111	! Description:
	112	! ------------
	113	!> Call for all grid points
[1]	114	!------------------------------------------------------------------------------!
[1001]	115	SUBROUTINE diffusion_e( var, var_reference )
[1]	116
[1320]	117	USE arrays_3d, &
	118	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
	119
	120	USE control_parameters, &
[1831]	121	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
[1320]	122	wall_adjustment, wall_adjustment_factor
[1831]	123
	124	USE cloud_parameters, &
	125	ONLY: collision_turbulence
	126
[1320]	127	USE grid_variables, &
	128	ONLY: ddx2, ddy2
	129
	130	USE indices, &
[1374]	131	ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_s_inner,&
	132	nzt
[1320]	133
	134	USE kinds
	135
	136	USE particle_attributes, &
	137	ONLY: use_sgs_for_particles, wang_kernel
[1]	138
	139	IMPLICIT NONE
	140
[1682]	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 !<
[1001]	147
[1010]	148	#if defined( __nopointer )
[1682]	149	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
[1010]	150	#else
[1682]	151	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
[1010]	152	#endif
[1682]	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 !<
[1]	156
	157
	158	!
[65]	159	!-- This if clause must be outside the k-loop because otherwise
	160	!-- runtime errors occur with -C hopt on NEC
[1179]	161	IF ( use_single_reference_value ) THEN
[65]	162
	163	DO i = nxl, nxr
	164	DO j = nys, nyn
	165	DO k = nzb_s_inner(j,i)+1, nzt
[1]	166	!
[65]	167	!-- Calculate the mixing length (for dissipation)
[97]	168	dvar_dz = atmos_ocean_sign * &
	169	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	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
[57]	173	ELSE
[65]	174	l_stable = l_grid(k)
[57]	175	ENDIF
[1]	176	!
[65]	177	!-- Adjustment of the mixing length
	178	IF ( wall_adjustment ) THEN
[94]	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) )
[65]	185	ELSE
	186	l(k,j) = MIN( l_grid(k), l_stable )
	187	ll(k,j) = l_grid(k)
	188	ENDIF
[1]	189
[65]	190	ENDDO
[1]	191	ENDDO
[65]	192
[1]	193	!
[65]	194	!-- Calculate the tendency terms
	195	DO j = nys, nyn
	196	DO k = nzb_s_inner(j,i)+1, nzt
[1]	197
[1340]	198	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
[65]	199	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
[1]	200
[65]	201	tend(k,j,i) = tend(k,j,i) &
[1]	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
[65]	216	ENDDO
[1]	217	ENDDO
[65]	218
	219	!
	220	!-- Store dissipation if needed for calculating the sgs particle
	221	!-- velocities
[1065]	222	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	223	collision_turbulence ) THEN
[65]	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
[1]	231	ENDDO
	232
[65]	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)
[97]	240	dvar_dz = atmos_ocean_sign * &
	241	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	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
[65]	245	ELSE
	246	l_stable = l_grid(k)
	247	ENDIF
	248	!
	249	!-- Adjustment of the mixing length
	250	IF ( wall_adjustment ) THEN
[94]	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) )
[65]	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
[1]	267	DO j = nys, nyn
[19]	268	DO k = nzb_s_inner(j,i)+1, nzt
[65]	269
[1340]	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)
[65]	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
[1]	288	ENDDO
	289	ENDDO
	290
[65]	291	!
	292	!-- Store dissipation if needed for calculating the sgs particle
	293	!-- velocities
[1065]	294	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	295	collision_turbulence ) THEN
[65]	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
[1]	302
[65]	303	ENDDO
	304
	305	ENDIF
	306
[1]	307	!
	308	!-- Boundary condition for dissipation
[1831]	309	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
	310	collision_turbulence ) THEN
[1]	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	!------------------------------------------------------------------------------!
[1682]	322	! Description:
	323	! ------------
	324	!> Call for all grid points - accelerator version
[1015]	325	!------------------------------------------------------------------------------!
	326	SUBROUTINE diffusion_e_acc( var, var_reference )
	327
[1320]	328	USE arrays_3d, &
	329	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
	330
	331	USE control_parameters, &
[1831]	332	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
[1320]	333	wall_adjustment, wall_adjustment_factor
[1831]	334
	335	USE cloud_parameters, &
	336	ONLY: collision_turbulence
	337
[1320]	338	USE grid_variables, &
	339	ONLY: ddx2, ddy2
	340
	341	USE indices, &
[1374]	342	ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, &
	343	nzb, nzb_s_inner, nzt
[1320]	344
	345	USE kinds
	346
	347	USE particle_attributes, &
	348	ONLY: use_sgs_for_particles, wang_kernel
[1015]	349
	350	IMPLICIT NONE
	351
[1682]	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 !<
[1015]	361
	362	#if defined( __nopointer )
[1682]	363	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
[1015]	364	#else
[1682]	365	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
[1015]	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
[1179]	372	IF ( use_single_reference_value ) THEN
[1171]	373
	374	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
[1374]	375	!$acc present( nzb_s_inner, tend, var, zu, zw )
[1171]	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
[1015]	381	!
[1171]	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)
[1340]	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
[1171]	388	ELSE
	389	l_stable = l_grid(k)
	390	ENDIF
[1015]	391	!
[1171]	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
[1015]	404	!
[1171]	405	!-- Calculate the tendency terms
[1340]	406	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
	407	e(k,j,i) * SQRT( e(k,j,i) ) / l
[1171]	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
[1015]	424	!
[1171]	425	!-- Store dissipation if needed for calculating the sgs particle
	426	!-- velocities
	427	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	428	collision_turbulence ) THEN
[1171]	429	diss(k,j,i) = dissipation
	430	ENDIF
	431
	432	ENDIF
	433
	434	ENDDO
	435	ENDDO
	436	ENDDO
	437	!$acc end kernels
	438
[1015]	439	ELSE
	440
	441	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
[1374]	442	!$acc present( nzb_s_inner, tend, var, zu, zw )
[1128]	443	DO i = i_left, i_right
	444	DO j = j_south, j_north
[1015]	445	DO k = 1, nzt
	446
	447	IF ( k > nzb_s_inner(j,i) ) THEN
	448	!
	449	!-- Calculate the mixing length (for dissipation)
	450	dvar_dz = atmos_ocean_sign * &
	451	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	452	IF ( dvar_dz > 0.0_wp ) THEN
	453	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
	454	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
[1015]	455	ELSE
	456	l_stable = l_grid(k)
	457	ENDIF
	458	!
	459	!-- Adjustment of the mixing length
	460	IF ( wall_adjustment ) THEN
	461	l = MIN( wall_adjustment_factor * &
	462	( zu(k) - zw(nzb_s_inner(j,i)) ), &
	463	l_grid(k), l_stable )
	464	ll = MIN( wall_adjustment_factor * &
	465	( zu(k) - zw(nzb_s_inner(j,i)) ), &
	466	l_grid(k) )
	467	ELSE
	468	l = MIN( l_grid(k), l_stable )
	469	ll = l_grid(k)
	470	ENDIF
	471	!
	472	!-- Calculate the tendency terms
[1340]	473	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
	474	e(k,j,i) * SQRT( e(k,j,i) ) / l
[1015]	475
	476	tend(k,j,i) = tend(k,j,i) &
	477	+ ( &
	478	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
	479	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
	480	) * ddx2 &
	481	+ ( &
	482	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
	483	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
	484	) * ddy2 &
	485	+ ( &
	486	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
	487	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
	488	) * ddzw(k) &
[1171]	489	- dissipation
[1015]	490
	491	!
	492	!-- Store dissipation if needed for calculating the sgs
	493	!-- particle velocities
[1065]	494	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	495	collision_turbulence ) THEN
[1015]	496	diss(k,j,i) = dissipation
	497	ENDIF
	498
	499	ENDIF
	500
	501	ENDDO
	502	ENDDO
	503	ENDDO
	504	!$acc end kernels
	505
	506	ENDIF
	507
	508	!
	509	!-- Boundary condition for dissipation
[1831]	510	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
	511	collision_turbulence ) THEN
[1015]	512	!$acc kernels present( diss, nzb_s_inner )
[1128]	513	DO i = i_left, i_right
	514	DO j = j_south, j_north
[1015]	515	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
	516	ENDDO
	517	ENDDO
	518	!$acc end kernels
	519	ENDIF
	520
	521	END SUBROUTINE diffusion_e_acc
	522
	523
	524	!------------------------------------------------------------------------------!
[1682]	525	! Description:
	526	! ------------
	527	!> Call for grid point i,j
[1]	528	!------------------------------------------------------------------------------!
[1001]	529	SUBROUTINE diffusion_e_ij( i, j, var, var_reference )
[1]	530
[1320]	531	USE arrays_3d, &
	532	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
	533
	534	USE control_parameters, &
[1831]	535	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
[1320]	536	wall_adjustment, wall_adjustment_factor
[1831]	537
	538	USE cloud_parameters, &
	539	ONLY: collision_turbulence
	540
[1320]	541	USE grid_variables, &
	542	ONLY: ddx2, ddy2
	543
	544	USE indices, &
[1374]	545	ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner, nzt
[1320]	546
	547	USE kinds
	548
	549	USE particle_attributes, &
	550	ONLY: use_sgs_for_particles, wang_kernel
[1]	551
	552	IMPLICIT NONE
	553
[1682]	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 !<
[1]	560
[1010]	561	#if defined( __nopointer )
[1682]	562	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
[1010]	563	#else
[1682]	564	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
[1010]	565	#endif
[1682]	566	REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !<
	567	REAL(wp), DIMENSION(nzb+1:nzt) :: l !<
	568	REAL(wp), DIMENSION(nzb+1:nzt) :: ll !<
[1]	569
[1001]	570
[1]	571	!
	572	!-- Calculate the mixing length (for dissipation)
[19]	573	DO k = nzb_s_inner(j,i)+1, nzt
[97]	574	dvar_dz = atmos_ocean_sign * &
	575	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	576	IF ( dvar_dz > 0.0_wp ) THEN
[1179]	577	IF ( use_single_reference_value ) THEN
[1340]	578	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
	579	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
[57]	580	ELSE
[1340]	581	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
	582	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
[57]	583	ENDIF
[1]	584	ELSE
	585	l_stable = l_grid(k)
	586	ENDIF
	587	!
	588	!-- Adjustment of the mixing length
	589	IF ( wall_adjustment ) THEN
[94]	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) )
[1]	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
[1340]	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)
[1]	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
[1831]	623	IF ( use_sgs_for_particles .OR. wang_kernel .OR. collision_turbulence ) THEN
[19]	624	DO k = nzb_s_inner(j,i)+1, nzt
[1]	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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