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source: palm/trunk/SOURCE/diffusion_e.f90 @ 1982

Last change on this file since 1982 was 1874, checked in by maronga, 9 years ago
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[1873]	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	! -----------------
[1341]	21	!
[1851]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: diffusion_e.f90 1874 2016-04-18 14:51:10Z suehring $
	26	!
[1874]	27	! 1873 2016-04-18 14:50:06Z maronga
	28	! Module renamed (removed _mod)
	29	!
	30	!
[1851]	31	! 1850 2016-04-08 13:29:27Z maronga
	32	! Module renamed
	33	! Adapted for modularization of microphysics
	34	!
[1832]	35	! 1831 2016-04-07 13:15:51Z hoffmann
	36	! turbulence renamed collision_turbulence
	37	!
[1683]	38	! 1682 2015-10-07 23:56:08Z knoop
	39	! Code annotations made doxygen readable
	40	!
[1375]	41	! 1374 2014-04-25 12:55:07Z raasch
	42	! missing variables added to ONLY list
	43	! rif removed from acc-present-list
	44	!
[1341]	45	! 1340 2014-03-25 19:45:13Z kanani
	46	! REAL constants defined as wp-kind
	47	!
[1321]	48	! 1320 2014-03-20 08:40:49Z raasch
[1320]	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
[98]	55	!
[1258]	56	! 1257 2013-11-08 15:18:40Z raasch
	57	! openacc loop and loop vector clauses removed
	58	!
[1182]	59	! 1179 2013-06-14 05:57:58Z raasch
	60	! use_reference renamed use_single_reference_value
	61	!
[1172]	62	! 1171 2013-05-30 11:27:45Z raasch
	63	! use_reference-case activated in accelerator version
	64	!
[1132]	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	!
[1066]	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	!
[1037]	74	! 1036 2012-10-22 13:43:42Z raasch
	75	! code put under GPL (PALM 3.9)
	76	!
[1017]	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	!
[1011]	82	! 1010 2012-09-20 07:59:54Z raasch
	83	! cpp switch __nopointer added for pointer free version
	84	!
[1002]	85	! 1001 2012-09-13 14:08:46Z raasch
	86	! most arrays comunicated by module instead of parameter list
	87	!
[826]	88	! 825 2012-02-19 03:03:44Z raasch
	89	! wang_collision_kernel renamed wang_kernel
	90	!
[1]	91	! Revision 1.1 1997/09/19 07:40:24 raasch
	92	! Initial revision
	93	!
	94	!
	95	! Description:
	96	! ------------
[1682]	97	!> Diffusion- and dissipation terms for the TKE
[1]	98	!------------------------------------------------------------------------------!
[1682]	99	MODULE diffusion_e_mod
	100
[1]	101
	102	PRIVATE
[1015]	103	PUBLIC diffusion_e, diffusion_e_acc
[1]	104
	105
	106	INTERFACE diffusion_e
	107	MODULE PROCEDURE diffusion_e
	108	MODULE PROCEDURE diffusion_e_ij
	109	END INTERFACE diffusion_e
	110
[1015]	111	INTERFACE diffusion_e_acc
	112	MODULE PROCEDURE diffusion_e_acc
	113	END INTERFACE diffusion_e_acc
	114
[1]	115	CONTAINS
	116
	117
	118	!------------------------------------------------------------------------------!
[1682]	119	! Description:
	120	! ------------
	121	!> Call for all grid points
[1]	122	!------------------------------------------------------------------------------!
[1001]	123	SUBROUTINE diffusion_e( var, var_reference )
[1]	124
[1320]	125	USE arrays_3d, &
	126	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
	127
	128	USE control_parameters, &
[1831]	129	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
[1320]	130	wall_adjustment, wall_adjustment_factor
[1831]	131
[1320]	132	USE grid_variables, &
	133	ONLY: ddx2, ddy2
	134
	135	USE indices, &
[1374]	136	ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_s_inner,&
	137	nzt
[1320]	138
	139	USE kinds
[1849]	140
	141	USE microphysics_mod, &
	142	ONLY: collision_turbulence
	143
[1320]	144	USE particle_attributes, &
	145	ONLY: use_sgs_for_particles, wang_kernel
[1]	146
	147	IMPLICIT NONE
	148
[1682]	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 !<
[1001]	155
[1010]	156	#if defined( __nopointer )
[1682]	157	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
[1010]	158	#else
[1682]	159	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
[1010]	160	#endif
[1682]	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 !<
[1]	164
	165
	166	!
[65]	167	!-- This if clause must be outside the k-loop because otherwise
	168	!-- runtime errors occur with -C hopt on NEC
[1179]	169	IF ( use_single_reference_value ) THEN
[65]	170
	171	DO i = nxl, nxr
	172	DO j = nys, nyn
	173	DO k = nzb_s_inner(j,i)+1, nzt
[1]	174	!
[65]	175	!-- Calculate the mixing length (for dissipation)
[97]	176	dvar_dz = atmos_ocean_sign * &
	177	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	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
[57]	181	ELSE
[65]	182	l_stable = l_grid(k)
[57]	183	ENDIF
[1]	184	!
[65]	185	!-- Adjustment of the mixing length
	186	IF ( wall_adjustment ) THEN
[94]	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) )
[65]	193	ELSE
	194	l(k,j) = MIN( l_grid(k), l_stable )
	195	ll(k,j) = l_grid(k)
	196	ENDIF
[1]	197
[65]	198	ENDDO
[1]	199	ENDDO
[65]	200
[1]	201	!
[65]	202	!-- Calculate the tendency terms
	203	DO j = nys, nyn
	204	DO k = nzb_s_inner(j,i)+1, nzt
[1]	205
[1340]	206	dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * &
[65]	207	e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
[1]	208
[65]	209	tend(k,j,i) = tend(k,j,i) &
[1]	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
[65]	224	ENDDO
[1]	225	ENDDO
[65]	226
	227	!
	228	!-- Store dissipation if needed for calculating the sgs particle
	229	!-- velocities
[1065]	230	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	231	collision_turbulence ) THEN
[65]	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
[1]	239	ENDDO
	240
[65]	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)
[97]	248	dvar_dz = atmos_ocean_sign * &
	249	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	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
[65]	253	ELSE
	254	l_stable = l_grid(k)
	255	ENDIF
	256	!
	257	!-- Adjustment of the mixing length
	258	IF ( wall_adjustment ) THEN
[94]	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) )
[65]	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
[1]	275	DO j = nys, nyn
[19]	276	DO k = nzb_s_inner(j,i)+1, nzt
[65]	277
[1340]	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)
[65]	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
[1]	296	ENDDO
	297	ENDDO
	298
[65]	299	!
	300	!-- Store dissipation if needed for calculating the sgs particle
	301	!-- velocities
[1065]	302	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	303	collision_turbulence ) THEN
[65]	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
[1]	310
[65]	311	ENDDO
	312
	313	ENDIF
	314
[1]	315	!
	316	!-- Boundary condition for dissipation
[1849]	317	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	318	collision_turbulence ) THEN
[1]	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	!------------------------------------------------------------------------------!
[1682]	330	! Description:
	331	! ------------
	332	!> Call for all grid points - accelerator version
[1015]	333	!------------------------------------------------------------------------------!
	334	SUBROUTINE diffusion_e_acc( var, var_reference )
	335
[1320]	336	USE arrays_3d, &
	337	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
	338
	339	USE control_parameters, &
[1831]	340	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
[1320]	341	wall_adjustment, wall_adjustment_factor
[1831]	342
[1320]	343	USE grid_variables, &
	344	ONLY: ddx2, ddy2
	345
	346	USE indices, &
[1374]	347	ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, &
	348	nzb, nzb_s_inner, nzt
[1320]	349
	350	USE kinds
[1849]	351
	352	USE microphysics_mod, &
	353	ONLY: collision_turbulence
	354
[1320]	355	USE particle_attributes, &
	356	ONLY: use_sgs_for_particles, wang_kernel
[1015]	357
	358	IMPLICIT NONE
	359
[1682]	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 !<
[1015]	369
	370	#if defined( __nopointer )
[1682]	371	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
[1015]	372	#else
[1682]	373	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
[1015]	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
[1179]	380	IF ( use_single_reference_value ) THEN
[1171]	381
	382	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
[1374]	383	!$acc present( nzb_s_inner, tend, var, zu, zw )
[1171]	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
[1015]	389	!
[1171]	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)
[1340]	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
[1171]	396	ELSE
	397	l_stable = l_grid(k)
	398	ENDIF
[1015]	399	!
[1171]	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
[1015]	412	!
[1171]	413	!-- Calculate the tendency terms
[1340]	414	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
	415	e(k,j,i) * SQRT( e(k,j,i) ) / l
[1171]	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
[1015]	432	!
[1171]	433	!-- Store dissipation if needed for calculating the sgs particle
	434	!-- velocities
	435	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	436	collision_turbulence ) THEN
[1171]	437	diss(k,j,i) = dissipation
	438	ENDIF
	439
	440	ENDIF
	441
	442	ENDDO
	443	ENDDO
	444	ENDDO
	445	!$acc end kernels
	446
[1015]	447	ELSE
	448
	449	!$acc kernels present( ddzu, ddzw, dd2zu, diss, e, km, l_grid ) &
[1374]	450	!$acc present( nzb_s_inner, tend, var, zu, zw )
[1128]	451	DO i = i_left, i_right
	452	DO j = j_south, j_north
[1015]	453	DO k = 1, nzt
	454
	455	IF ( k > nzb_s_inner(j,i) ) THEN
	456	!
	457	!-- Calculate the mixing length (for dissipation)
	458	dvar_dz = atmos_ocean_sign * &
	459	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	460	IF ( dvar_dz > 0.0_wp ) THEN
	461	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
	462	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
[1015]	463	ELSE
	464	l_stable = l_grid(k)
	465	ENDIF
	466	!
	467	!-- Adjustment of the mixing length
	468	IF ( wall_adjustment ) THEN
	469	l = MIN( wall_adjustment_factor * &
	470	( zu(k) - zw(nzb_s_inner(j,i)) ), &
	471	l_grid(k), l_stable )
	472	ll = MIN( wall_adjustment_factor * &
	473	( zu(k) - zw(nzb_s_inner(j,i)) ), &
	474	l_grid(k) )
	475	ELSE
	476	l = MIN( l_grid(k), l_stable )
	477	ll = l_grid(k)
	478	ENDIF
	479	!
	480	!-- Calculate the tendency terms
[1340]	481	dissipation = ( 0.19_wp + 0.74_wp * l / ll ) * &
	482	e(k,j,i) * SQRT( e(k,j,i) ) / l
[1015]	483
	484	tend(k,j,i) = tend(k,j,i) &
	485	+ ( &
	486	( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) &
	487	- ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) &
	488	) * ddx2 &
	489	+ ( &
	490	( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) &
	491	- ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) &
	492	) * ddy2 &
	493	+ ( &
	494	( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
	495	- ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) &
	496	) * ddzw(k) &
[1171]	497	- dissipation
[1015]	498
	499	!
	500	!-- Store dissipation if needed for calculating the sgs
	501	!-- particle velocities
[1065]	502	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
[1831]	503	collision_turbulence ) THEN
[1015]	504	diss(k,j,i) = dissipation
	505	ENDIF
	506
	507	ENDIF
	508
	509	ENDDO
	510	ENDDO
	511	ENDDO
	512	!$acc end kernels
	513
	514	ENDIF
	515
	516	!
	517	!-- Boundary condition for dissipation
[1831]	518	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
	519	collision_turbulence ) THEN
[1015]	520	!$acc kernels present( diss, nzb_s_inner )
[1128]	521	DO i = i_left, i_right
	522	DO j = j_south, j_north
[1015]	523	diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
	524	ENDDO
	525	ENDDO
	526	!$acc end kernels
	527	ENDIF
	528
	529	END SUBROUTINE diffusion_e_acc
	530
	531
	532	!------------------------------------------------------------------------------!
[1682]	533	! Description:
	534	! ------------
	535	!> Call for grid point i,j
[1]	536	!------------------------------------------------------------------------------!
[1001]	537	SUBROUTINE diffusion_e_ij( i, j, var, var_reference )
[1]	538
[1320]	539	USE arrays_3d, &
	540	ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw
	541
	542	USE control_parameters, &
[1831]	543	ONLY: atmos_ocean_sign, g, use_single_reference_value, &
[1320]	544	wall_adjustment, wall_adjustment_factor
[1831]	545
[1320]	546	USE grid_variables, &
	547	ONLY: ddx2, ddy2
	548
	549	USE indices, &
[1374]	550	ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner, nzt
[1320]	551
	552	USE kinds
[1849]	553
	554	USE microphysics_mod, &
	555	ONLY: collision_turbulence
	556
[1320]	557	USE particle_attributes, &
	558	ONLY: use_sgs_for_particles, wang_kernel
[1]	559
	560	IMPLICIT NONE
	561
[1682]	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 !<
[1]	568
[1010]	569	#if defined( __nopointer )
[1682]	570	REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !<
[1010]	571	#else
[1682]	572	REAL(wp), DIMENSION(:,:,:), POINTER :: var !<
[1010]	573	#endif
[1682]	574	REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !<
	575	REAL(wp), DIMENSION(nzb+1:nzt) :: l !<
	576	REAL(wp), DIMENSION(nzb+1:nzt) :: ll !<
[1]	577
[1001]	578
[1]	579	!
	580	!-- Calculate the mixing length (for dissipation)
[19]	581	DO k = nzb_s_inner(j,i)+1, nzt
[97]	582	dvar_dz = atmos_ocean_sign * &
	583	( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
[1340]	584	IF ( dvar_dz > 0.0_wp ) THEN
[1179]	585	IF ( use_single_reference_value ) THEN
[1340]	586	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
	587	SQRT( g / var_reference * dvar_dz ) + 1E-5_wp
[57]	588	ELSE
[1340]	589	l_stable = 0.76_wp * SQRT( e(k,j,i) ) / &
	590	SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp
[57]	591	ENDIF
[1]	592	ELSE
	593	l_stable = l_grid(k)
	594	ENDIF
	595	!
	596	!-- Adjustment of the mixing length
	597	IF ( wall_adjustment ) THEN
[94]	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) )
[1]	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
[1340]	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)
[1]	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
[1849]	631	IF ( use_sgs_for_particles .OR. wang_kernel .OR. &
	632	collision_turbulence ) THEN
[19]	633	DO k = nzb_s_inner(j,i)+1, nzt
[1]	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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