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source: palm/trunk/SOURCE/lpm_droplet_collision.f90 @ 2020

Last change on this file since 2020 was 2001, checked in by knoop, 8 years ago
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[1682]	1	!> @file lpm_droplet_collision.f90
[2000]	2	!------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[1818]	17	! Copyright 1997-2016 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[849]	20	! Current revisions:
	21	! ------------------
[2001]	22	!
	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: lpm_droplet_collision.f90 2001 2016-08-20 18:41:22Z hellstea $
	27	!
[2001]	28	! 2000 2016-08-20 18:09:15Z knoop
	29	! Forced header and separation lines into 80 columns
	30	!
[1885]	31	! 1884 2016-04-21 11:11:40Z hoffmann
	32	! Conservation of mass should only be checked if collisions took place.
	33	!
[1861]	34	! 1860 2016-04-13 13:21:28Z hoffmann
	35	! Interpolation of dissipation rate adjusted to more reasonable values.
	36	!
[1823]	37	! 1822 2016-04-07 07:49:42Z hoffmann
	38	! Integration of a new collision algortithm based on Shima et al. (2009) and
	39	! Soelch and Kaercher (2010) called all_or_nothing. The previous implemented
	40	! collision algorithm is called average_impact. Moreover, both algorithms are
	41	! now positive definit due to their construction, i.e., no negative weighting
	42	! factors should occur.
	43	!
[1683]	44	! 1682 2015-10-07 23:56:08Z knoop
	45	! Code annotations made doxygen readable
	46	!
[1360]	47	! 1359 2014-04-11 17:15:14Z hoffmann
	48	! New particle structure integrated.
	49	! Kind definition added to all floating point numbers.
	50	!
[1323]	51	! 1322 2014-03-20 16:38:49Z raasch
	52	! REAL constants defined as wp_kind
	53	!
[1321]	54	! 1320 2014-03-20 08:40:49Z raasch
[1320]	55	! ONLY-attribute added to USE-statements,
	56	! kind-parameters added to all INTEGER and REAL declaration statements,
	57	! kinds are defined in new module kinds,
	58	! revision history before 2012 removed,
	59	! comment fields (!:) to be used for variable explanations added to
	60	! all variable declaration statements
[1072]	61	!
[1093]	62	! 1092 2013-02-02 11:24:22Z raasch
	63	! unused variables removed
	64	!
[1072]	65	! 1071 2012-11-29 16:54:55Z franke
[1071]	66	! Calculation of Hall and Wang kernel now uses collision-coalescence formulation
	67	! proposed by Wang instead of the continuous collection equation (for more
	68	! information about new method see PALM documentation)
	69	! Bugfix: message identifiers added
[849]	70	!
[1037]	71	! 1036 2012-10-22 13:43:42Z raasch
	72	! code put under GPL (PALM 3.9)
	73	!
[850]	74	! 849 2012-03-15 10:35:09Z raasch
	75	! initial revision (former part of advec_particles)
[849]	76	!
[850]	77	!
[849]	78	! Description:
	79	! ------------
[1682]	80	!> Calculates change in droplet radius by collision. Droplet collision is
	81	!> calculated for each grid box seperately. Collision is parameterized by
[1822]	82	!> using collision kernels. Two different kernels are available:
[1682]	83	!> Hall kernel: Kernel from Hall (1980, J. Atmos. Sci., 2486-2507), which
	84	!> considers collision due to pure gravitational effects.
	85	!> Wang kernel: Beside gravitational effects (treated with the Hall-kernel) also
	86	!> the effects of turbulence on the collision are considered using
	87	!> parameterizations of Ayala et al. (2008, New J. Phys., 10,
	88	!> 075015) and Wang and Grabowski (2009, Atmos. Sci. Lett., 10,
	89	!> 1-8). This kernel includes three possible effects of turbulence:
	90	!> the modification of the relative velocity between the droplets,
	91	!> the effect of preferential concentration, and the enhancement of
	92	!> collision efficiencies.
[849]	93	!------------------------------------------------------------------------------!
[1682]	94	SUBROUTINE lpm_droplet_collision (i,j,k)
	95
[849]	96
[1359]	97
[1320]	98	USE arrays_3d, &
[1822]	99	ONLY: diss, ql_v, ql_vp
[849]	100
[1320]	101	USE cloud_parameters, &
[1822]	102	ONLY: rho_l
[1320]	103
	104	USE constants, &
	105	ONLY: pi
	106
	107	USE control_parameters, &
[1822]	108	ONLY: dt_3d, message_string, dz
[1320]	109
	110	USE cpulog, &
	111	ONLY: cpu_log, log_point_s
	112
	113	USE grid_variables, &
[1822]	114	ONLY: dx, dy
[1320]	115
	116	USE kinds
	117
	118	USE lpm_collision_kernels_mod, &
[1822]	119	ONLY: ckernel, recalculate_kernel
[1320]	120
	121	USE particle_attributes, &
[1822]	122	ONLY: all_or_nothing, average_impact, dissipation_classes, &
	123	hall_kernel, iran_part, number_of_particles, particles, &
	124	particle_type, prt_count, use_kernel_tables, wang_kernel
[1320]	125
[1822]	126	USE random_function_mod, &
	127	ONLY: random_function
	128
[1359]	129	USE pegrid
	130
[849]	131	IMPLICIT NONE
	132
[1682]	133	INTEGER(iwp) :: eclass !<
	134	INTEGER(iwp) :: i !<
	135	INTEGER(iwp) :: j !<
	136	INTEGER(iwp) :: k !<
	137	INTEGER(iwp) :: n !<
[1822]	138	INTEGER(iwp) :: m !<
[1682]	139	INTEGER(iwp) :: rclass_l !<
	140	INTEGER(iwp) :: rclass_s !<
[849]	141
[1822]	142	REAL(wp) :: collection_probability !< probability for collection
	143	REAL(wp) :: ddV !< inverse grid box volume
	144	REAL(wp) :: epsilon !< dissipation rate
	145	REAL(wp) :: factor_volume_to_mass !< 4.0 / 3.0 * pi * rho_l
	146	REAL(wp) :: xm !< mean mass of droplet m
	147	REAL(wp) :: xn !< mean mass of droplet n
[1359]	148
[1822]	149	REAL(wp), DIMENSION(:), ALLOCATABLE :: weight !< weighting factor
	150	REAL(wp), DIMENSION(:), ALLOCATABLE :: mass !< total mass of super droplet
[1359]	151
[849]	152	CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'start' )
	153
[1822]	154	number_of_particles = prt_count(k,j,i)
	155	factor_volume_to_mass = 4.0_wp / 3.0_wp * pi * rho_l
	156	ddV = 1 / ( dx * dy * dz )
[849]	157	!
[1822]	158	!-- Collision requires at least one super droplet inside the box
	159	IF ( number_of_particles > 0 ) THEN
[849]	160
	161	!
[1359]	162	!-- Now apply the different kernels
[1822]	163	IF ( use_kernel_tables ) THEN
[849]	164	!
[1822]	165	!-- Fast method with pre-calculated collection kernels for
[1359]	166	!-- discrete radius- and dissipation-classes.
	167	!--
	168	!-- Determine dissipation class index of this gridbox
	169	IF ( wang_kernel ) THEN
[1860]	170	eclass = INT( diss(k,j,i) * 1.0E4_wp / 600.0_wp * &
[1359]	171	dissipation_classes ) + 1
	172	epsilon = diss(k,j,i)
	173	ELSE
	174	epsilon = 0.0_wp
	175	ENDIF
	176	IF ( hall_kernel .OR. epsilon * 1.0E4_wp < 0.001_wp ) THEN
	177	eclass = 0 ! Hall kernel is used
	178	ELSE
	179	eclass = MIN( dissipation_classes, eclass )
	180	ENDIF
	181
[849]	182	!
[1359]	183	!-- Droplet collision are calculated using collision-coalescence
	184	!-- formulation proposed by Wang (see PALM documentation)
[1822]	185	!-- Temporary fields for total mass of super-droplet and weighting factors
	186	!-- are allocated.
	187	ALLOCATE(mass(1:number_of_particles), weight(1:number_of_particles))
[849]	188
[1822]	189	mass(1:number_of_particles) = particles(1:number_of_particles)%weight_factor * &
	190	particles(1:number_of_particles)%radius*3 &
	191	factor_volume_to_mass
	192	weight(1:number_of_particles) = particles(1:number_of_particles)%weight_factor
[849]	193
[1822]	194	IF ( average_impact ) THEN ! select collision algorithm
[1071]	195
[1822]	196	DO n = 1, number_of_particles
[1071]	197
[1822]	198	rclass_l = particles(n)%class
	199	xn = mass(n) / weight(n)
[849]	200
[1822]	201	DO m = n, number_of_particles
[849]	202
[1822]	203	rclass_s = particles(m)%class
	204	xm = mass(m) / weight(m)
[849]	205
[1822]	206	IF ( xm .LT. xn ) THEN
	207
	208	!
	209	!-- Particle n collects smaller particle m
	210	collection_probability = ckernel(rclass_l,rclass_s,eclass) * &
	211	weight(n) * ddV * dt_3d
[849]	212
[1822]	213	mass(n) = mass(n) + mass(m) * collection_probability
	214	weight(m) = weight(m) - weight(m) * collection_probability
	215	mass(m) = mass(m) - mass(m) * collection_probability
	216	ELSEIF ( xm .GT. xn ) THEN
[849]	217	!
[1822]	218	!-- Particle m collects smaller particle n
	219	collection_probability = ckernel(rclass_l,rclass_s,eclass) * &
	220	weight(m) * ddV * dt_3d
[849]	221
[1822]	222	mass(m) = mass(m) + mass(n) * collection_probability
	223	weight(n) = weight(n) - weight(n) * collection_probability
	224	mass(n) = mass(n) - mass(n) * collection_probability
	225	ELSE
[1071]	226	!
[1822]	227	!-- Same-size collections. If n = m, weight is reduced by the
	228	!-- number of possible same-size collections; the total mass
	229	!-- is not changed during same-size collection.
	230	!-- Same-size collections of different
	231	!-- particles ( n /= m ) are treated as same-size collections
	232	!-- of ONE partilce with weight = weight(n) + weight(m) and
	233	!-- mass = mass(n) + mass(m).
	234	!-- Accordingly, each particle loses the same number of
	235	!-- droplets to the other particle, but this has no effect on
	236	!-- total mass mass, since the exchanged droplets have the
	237	!-- same radius.
[849]	238
[1822]	239	!-- Note: For m = n this equation is an approximation only
	240	!-- valid for weight >> 1 (which is usually the case). The
	241	!-- approximation is weight(n)-1 = weight(n).
	242	weight(n) = weight(n) - 0.5_wp * weight(n) * &
	243	ckernel(rclass_l,rclass_s,eclass) * &
	244	weight(m) * ddV * dt_3d
	245	IF ( n .NE. m ) THEN
	246	weight(m) = weight(m) - 0.5_wp * weight(m) * &
	247	ckernel(rclass_l,rclass_s,eclass) * &
	248	weight(n) * ddV * dt_3d
	249	ENDIF
	250	ENDIF
[1071]	251
[1822]	252	ENDDO
[1071]	253
[1822]	254	ql_vp(k,j,i) = ql_vp(k,j,i) + mass(n) / factor_volume_to_mass
	255
[1359]	256	ENDDO
[849]	257
[1822]	258	ELSEIF ( all_or_nothing ) THEN ! select collision algorithm
[849]	259
[1822]	260	DO n = 1, number_of_particles
[849]	261
[1822]	262	rclass_l = particles(n)%class
	263	xn = mass(n) / weight(n) ! mean mass of droplet n
[849]	264
[1822]	265	DO m = n, number_of_particles
[849]	266
[1822]	267	rclass_s = particles(m)%class
	268	xm = mass(m) / weight(m) ! mean mass of droplet m
[849]	269
[1822]	270	IF ( weight(n) .LT. weight(m) ) THEN
	271	!
	272	!-- Particle n collects weight(n) droplets of particle m
	273	collection_probability = ckernel(rclass_l,rclass_s,eclass) * &
	274	weight(m) * ddV * dt_3d
[1071]	275
[1822]	276	IF ( collection_probability .GT. random_function( iran_part ) ) THEN
	277	mass(n) = mass(n) + weight(n) * xm
	278	weight(m) = weight(m) - weight(n)
	279	mass(m) = mass(m) - weight(n) * xm
	280	ENDIF
	281
	282	ELSEIF ( weight(m) .LT. weight(n) ) THEN
[849]	283	!
[1822]	284	!-- Particle m collects weight(m) droplets of particle n
	285	collection_probability = ckernel(rclass_l,rclass_s,eclass) * &
	286	weight(n) * ddV * dt_3d
	287
	288	IF ( collection_probability .GT. random_function( iran_part ) ) THEN
	289	mass(m) = mass(m) + weight(m) * xn
	290	weight(n) = weight(n) - weight(m)
	291	mass(n) = mass(n) - weight(m) * xn
	292	ENDIF
	293	ELSE
[849]	294	!
[1822]	295	!-- Collisions of particles of the same weighting factor.
	296	!-- Particle n collects 1/2 weight(n) droplets of particle m,
	297	!-- particle m collects 1/2 weight(m) droplets of particle n.
	298	!-- The total mass mass changes accordingly.
	299	!-- If n = m, the first half of the droplets coalesces with the
	300	!-- second half of the droplets; mass is unchanged because
	301	!-- xm = xn for n = m.
[849]	302
[1822]	303	!-- Note: For m = n this equation is an approximation only
	304	!-- valid for weight >> 1 (which is usually the case). The
	305	!-- approximation is weight(n)-1 = weight(n).
	306	collection_probability = ckernel(rclass_l,rclass_s,eclass) * &
	307	weight(n) * ddV * dt_3d
[849]	308
[1822]	309	IF ( collection_probability .GT. random_function( iran_part ) ) THEN
	310	mass(n) = mass(n) + 0.5_wp * weight(n) * ( xm - xn )
	311	mass(m) = mass(m) + 0.5_wp * weight(m) * ( xn - xm )
	312	weight(n) = weight(n) - 0.5_wp * weight(m)
	313	weight(m) = weight(n)
	314	ENDIF
	315	ENDIF
[849]	316
[1822]	317	ENDDO
[849]	318
[1822]	319	ql_vp(k,j,i) = ql_vp(k,j,i) + mass(n) / factor_volume_to_mass
[849]	320
[1822]	321	ENDDO
[849]	322
[1822]	323	ENDIF
[849]	324
	325
	326
	327
[1822]	328	IF ( ANY(weight < 0.0_wp) ) THEN
	329	WRITE( message_string, * ) 'negative weighting'
	330	CALL message( 'lpm_droplet_collision', 'PA0028', &
	331	2, 2, -1, 6, 1 )
	332	ENDIF
[849]	333
[1822]	334	particles(1:number_of_particles)%radius = ( mass(1:number_of_particles) / &
	335	( weight(1:number_of_particles) &
	336	* factor_volume_to_mass &
	337	) &
	338	)**0.33333333333333_wp
[849]	339
[1822]	340	particles(1:number_of_particles)%weight_factor = weight(1:number_of_particles)
[849]	341
[1822]	342	DEALLOCATE(weight, mass)
[849]	343
[1822]	344	ELSEIF ( .NOT. use_kernel_tables ) THEN
	345	!
	346	!-- Collection kernels are calculated for every new
	347	!-- grid box. First, allocate memory for kernel table.
	348	!-- Third dimension is 1, because table is re-calculated for
	349	!-- every new dissipation value.
	350	ALLOCATE( ckernel(1:number_of_particles,1:number_of_particles,1:1) )
	351	!
	352	!-- Now calculate collection kernel for this box. Note that
	353	!-- the kernel is based on the previous time step
	354	CALL recalculate_kernel( i, j, k )
	355	!
	356	!-- Droplet collision are calculated using collision-coalescence
	357	!-- formulation proposed by Wang (see PALM documentation)
	358	!-- Temporary fields for total mass of super-droplet and weighting factors
	359	!-- are allocated.
	360	ALLOCATE(mass(1:number_of_particles), weight(1:number_of_particles))
[849]	361
[1822]	362	mass(1:number_of_particles) = particles(1:number_of_particles)%weight_factor * &
	363	particles(1:number_of_particles)%radius*3 &
	364	factor_volume_to_mass
[849]	365
[1822]	366	weight(1:number_of_particles) = particles(1:number_of_particles)%weight_factor
[849]	367
[1822]	368	IF ( average_impact ) THEN ! select collision algorithm
[849]	369
[1822]	370	DO n = 1, number_of_particles
[849]	371
[1822]	372	xn = mass(n) / weight(n) ! mean mass of droplet n
[849]	373
[1822]	374	DO m = n, number_of_particles
[849]	375
[1822]	376	xm = mass(m) / weight(m) !mean mass of droplet m
[849]	377
[1822]	378	IF ( xm .LT. xn ) THEN
[849]	379	!
[1822]	380	!-- Particle n collects smaller particle m
	381	collection_probability = ckernel(n,m,1) * weight(n) * &
	382	ddV * dt_3d
	383
	384	mass(n) = mass(n) + mass(m) * collection_probability
	385	weight(m) = weight(m) - weight(m) * collection_probability
	386	mass(m) = mass(m) - mass(m) * collection_probability
	387	ELSEIF ( xm .GT. xn ) THEN
[849]	388	!
[1822]	389	!-- Particle m collects smaller particle n
	390	collection_probability = ckernel(n,m,1) * weight(m) * &
	391	ddV * dt_3d
[849]	392
[1822]	393	mass(m) = mass(m) + mass(n) * collection_probability
	394	weight(n) = weight(n) - weight(n) * collection_probability
	395	mass(n) = mass(n) - mass(n) * collection_probability
	396	ELSE
[849]	397	!
[1822]	398	!-- Same-size collections. If n = m, weight is reduced by the
	399	!-- number of possible same-size collections; the total mass
	400	!-- mass is not changed during same-size collection.
	401	!-- Same-size collections of different
	402	!-- particles ( n /= m ) are treated as same-size collections
	403	!-- of ONE partilce with weight = weight(n) + weight(m) and
	404	!-- mass = mass(n) + mass(m).
	405	!-- Accordingly, each particle loses the same number of
	406	!-- droplets to the other particle, but this has no effect on
	407	!-- total mass mass, since the exchanged droplets have the
	408	!-- same radius.
	409	!--
	410	!-- Note: For m = n this equation is an approximation only
	411	!-- valid for weight >> 1 (which is usually the case). The
	412	!-- approximation is weight(n)-1 = weight(n).
	413	weight(n) = weight(n) - 0.5_wp * weight(n) * &
	414	ckernel(n,m,1) * weight(m) * &
	415	ddV * dt_3d
	416	IF ( n .NE. m ) THEN
	417	weight(m) = weight(m) - 0.5_wp * weight(m) * &
	418	ckernel(n,m,1) * weight(n) * &
	419	ddV * dt_3d
	420	ENDIF
	421	ENDIF
[849]	422
	423
[1359]	424	ENDDO
[849]	425
[1822]	426	ql_vp(k,j,i) = ql_vp(k,j,i) + mass(n) / factor_volume_to_mass
[849]	427
[1822]	428	ENDDO
[849]	429
[1822]	430	ELSEIF ( all_or_nothing ) THEN ! select collision algorithm
[849]	431
[1822]	432	DO n = 1, number_of_particles
[849]	433
[1822]	434	xn = mass(n) / weight(n) ! mean mass of droplet n
[849]	435
[1822]	436	DO m = n, number_of_particles
[849]	437
[1822]	438	xm = mass(m) / weight(m) !mean mass of droplet m
[849]	439
[1822]	440	IF ( weight(n) .LT. weight(m) ) THEN
	441	!
	442	!-- Particle n collects smaller particle m
	443	collection_probability = ckernel(n,m,1) * weight(m) * &
	444	ddV * dt_3d
[1071]	445
[1822]	446	IF ( collection_probability .GT. random_function( iran_part ) ) THEN
	447	mass(n) = mass(n) + weight(n) * xm
	448	weight(m) = weight(m) - weight(n)
	449	mass(m) = mass(m) - weight(n) * xm
	450	ENDIF
[1359]	451
[1822]	452	ELSEIF ( weight(m) .LT. weight(n) ) THEN
[1071]	453	!
[1822]	454	!-- Particle m collects smaller particle n
	455	collection_probability = ckernel(n,m,1) * weight(n) * &
	456	ddV * dt_3d
[1071]	457
[1822]	458	IF ( collection_probability .GT. random_function( iran_part ) ) THEN
	459	mass(m) = mass(m) + weight(m) * xn
	460	weight(n) = weight(n) - weight(m)
	461	mass(n) = mass(n) - weight(m) * xn
	462	ENDIF
	463	ELSE
	464	!
	465	!-- Collisions of particles of the same weighting factor.
	466	!-- Particle n collects 1/2 weight(n) droplets of particle m,
	467	!-- particle m collects 1/2 weight(m) droplets of particle n.
	468	!-- The total mass mass changes accordingly.
	469	!-- If n = m, the first half of the droplets coalesces with the
	470	!-- second half of the droplets; mass is unchanged because
	471	!-- xm = xn for n = m.
	472	!--
	473	!-- Note: For m = n this equation is an approximation only
	474	!-- valid for weight >> 1 (which is usually the case). The
	475	!-- approximation is weight(n)-1 = weight(n).
	476	collection_probability = ckernel(n,m,1) * weight(n) * &
	477	ddV * dt_3d
[1071]	478
[1822]	479	IF ( collection_probability .GT. random_function( iran_part ) ) THEN
	480	mass(n) = mass(n) + 0.5_wp * weight(n) * ( xm - xn )
	481	mass(m) = mass(m) + 0.5_wp * weight(m) * ( xn - xm )
	482	weight(n) = weight(n) - 0.5_wp * weight(m)
	483	weight(m) = weight(n)
	484	ENDIF
	485	ENDIF
[1071]	486
	487
[1822]	488	ENDDO
[1071]	489
[1822]	490	ql_vp(k,j,i) = ql_vp(k,j,i) + mass(n) / factor_volume_to_mass
[1071]	491
[1822]	492	ENDDO
[1071]	493
[1822]	494	ENDIF
[1071]	495
[1822]	496	IF ( ANY(weight < 0.0_wp) ) THEN
	497	WRITE( message_string, * ) 'negative weighting'
	498	CALL message( 'lpm_droplet_collision', 'PA0028', &
	499	2, 2, -1, 6, 1 )
	500	ENDIF
	501
	502	particles(1:number_of_particles)%radius = ( mass(1:number_of_particles) / &
	503	( weight(1:number_of_particles) &
	504	* factor_volume_to_mass &
	505	) &
	506	)**0.33333333333333_wp
	507
	508	particles(1:number_of_particles)%weight_factor = weight(1:number_of_particles)
	509
	510	DEALLOCATE( weight, mass, ckernel )
	511
	512	ENDIF
	513
[849]	514	!
[1884]	515	!-- Check if LWC is conserved during collision process
	516	IF ( ql_v(k,j,i) /= 0.0_wp ) THEN
	517	IF ( ql_vp(k,j,i) / ql_v(k,j,i) >= 1.0001_wp .OR. &
	518	ql_vp(k,j,i) / ql_v(k,j,i) <= 0.9999_wp ) THEN
	519	WRITE( message_string, * ) ' LWC is not conserved during', &
	520	' collision! ', &
	521	' LWC after condensation: ', ql_v(k,j,i), &
	522	' LWC after collision: ', ql_vp(k,j,i)
	523	CALL message( 'lpm_droplet_collision', 'PA0040', 2, 2, -1, 6, 1 )
	524	ENDIF
[1359]	525	ENDIF
[1884]	526
[1359]	527	ENDIF
[1884]	528
[849]	529	CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'stop' )
	530
[1359]	531	END SUBROUTINE lpm_droplet_collision

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