Ayala, O., Rosa, B., Wang, L. P. & Grabowski, W. W.
2008
Effects of turbulence on the geometric collision rate of sedimenting droplets. Part 1. Results from direct numerical simulation. New J. Phys.
10, 075015.

von Blohn, N., Diehl, K., Mitra, S. K. & Borrmann, S.
2009
Riming of graupel: wind tunel investigations of collection kernels and growth regimes. J. Atmos. Sci.
66, 2359–2366.

von Blohn, N., Diehl, K., Mitra, S. K. & Borrmann, S.
2011
Wind tunnel experiments on the retention of trace gases during riming: nitric acid, hydrochloric acid and hydrogen peroxide. Atmos. Chem. Phys.
11, 11569–11579.

Bragg, A. D. & Collins, L. R.
2014a
New insights from comparing statistical theories for inertial particles in turbulence: I. Spatial distributions of particles. New J. Phys.
16, 055013.

Bragg, A. D. & Collins, L. R.
2014b
New insights from comparing statistical theories for inertial particles in turbulence: II. Relative velocities. New J. Phys.
16, 055014.

Butcher, J. C.
2004
Numerical Methods for Ordinary Differential Equations. John Wiley & Sons.

Candelier, F., Einarsson, J. & Mehlig, B.
2016
Angular dynamics of a small particle in turbulence. Phys. Rev. Lett.
117, 204501.

Chen, J. P. & Lamb, D.
1994
The theoretical basis for the paramterization of ice crystal habits: growth by vapor deposition. J. Atmos. Sci.
51, 1206–1221.

Choi, Y. K., Chang, J. W., Wang, W., Kim, M.-S. & Elber, G.
2009
Continuous collision for ellipsoids. IEEE Trans. Vis. Comput. Graphics
15, 311–325.

Chouippe, A. & Uhlmann, M.
2015
Forcing homogeneous turbulence in direct numerical simulation of particulate flow with interface resolution and gravity. Phys. Fluids
27 (12), 123301.

Chun, J. & Koch, D. L.
2005
Coagulation of monodisperse aerosol particles by isotropic turbulence. Phys. Fluids
17, 027102.

Cox, R. G.
1965
The steady motion of a particle of arbitrary shape at small Reynolds numbers. J. Fluid Mech.
23, 625–643.

Diehl, K., Mitra, S. K., Szakall, M., von Blohn, N., Borrmann, S. & Pruppacher, H. R.
2011
The Mainz vertical wind tunnel facility – a review of 25 years of laboratory experiments on cloud physics and chemistry. In Wind Tunnels: Aerodynamics, Models and Experiments, pp. 69–92. Nova Science Publishers.

Elghobashi, S. & Truesdell, G. C.
1992
Direct simulation of particle dispersion in a decaying isotropic turbulence. J. Fluid Mech.
242, 655–700.

Falkovich, G. & Pumir, A.
2007
Sling effect in collisions of water droplets in turbulent clouds. J. Atmos. Sci.
64, 4497–4505.

Gatignol, R.
1983
The Faxén formulas for a rigid particle in an unsteady non-uniform Stokes-flow. J. Méc. Théor. Appl.
2 (2), 143–160.

Grabowski, W. & Vaillancourt, P.
1999
Comments on ‘Preferential concentration of cloud droplets by turbulence: effects on the early evolution of cumulus cloud droplet spectra’. J. Atmos. Sci.
56, 1433.

Grabowski, W. W. & Wang, L. P.
2013
Growth of cloud droplets in a turbulent environment. Annu. Rev. Fluid Mech.
45, 293.

Gustavsson, K., Jucha, J., Naso, A., Lévêque, E., Pumir, A. & Mehlig, B.
2017
Statistical model for the orientation of nonspherical particles settling in turbulence. Phys. Rev. Lett.
119, 254501.

Gustavsson, K. & Mehlig, B.
2011
Distribution of relative velocities in turbulent aerosols. Phys. Rev. E
84, 045304.

Hall, W. D.
1980
A detailed microphysicl model within a two-dimensional dynamic framework: model description and preliminary results. J. Atmos. Sci.
37, 2486–2507.

Happel, J. & Brenner, H.
1983
Low Reynolds Number Hydrodynamics. Martinus Nijhoff.

Homann, H., Bec, J. & Grauer, R.
2013
Effect of turbulent fluctuations on the drag and lift forces on a towed sphere and its boundary layer. J. Fluid Mech.
721, 155–179.

Huang, K.
1987
Statistical Mechanics. John Wiley & Sons.

Ireland, P. J., Bragg, A. D. & Collins, L. R.
2016
The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 2. Simulations with gravitational effects. J. Fluid Mech.
796, 659–711.

Jeffery, G. B.
1922
The motion of ellipsoid particles immersed in a viscous fluid. Proc. R. Soc. Lond. A
102, 161–179.

Jucha, J., Naso, A., Lévêque, E. & Pumir, A.
2018
Settling and collision between small ice crystals in turbulent flows. Phys. Rev. Fluids
3, 014604.

Khayat, R. E. & Cox, R. G.
1989
Inertia effects on the motion of long slender bodies. J. Fluid Mech.
209, 435–462.

Kolmogorov, A. N.
1941
The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. Dokl. Akad. Nauk SSSR
30, 301–305.

Leal, L. G.
1980
Particle motions in a viscous fluid. Annu. Rev. Fluid Mech.
12, 435–476.

Lopez, D. & Guazzelli, E.
2017
Inertial effects on fibers settling in a vortical flow. Phys. Rev. Fluids
2, 024306.

Lucci, F., Ferrante, A. & Elghobashi, S.
2010
Modulation of isotropic turbulence by particles of Taylor length-scale size. J. Fluid Mech.
650, 5–55.

Maxey, M. R. & Riley, J. J.
1983
Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids
26 (4), 883–889.

Naso, A. & Prosperetti, A.
2010
The interaction between a solid particle and a turbulent flow. New J. Phys.
12 (3), 033040.

Pruppacher, H. R. & Klett, J. D.
1997
Microphysics of Clouds and Precipitations. Kluwer.

Pumir, A. & Wilkinson, M.
2016
Collisional aggregation due to turbulence. Annu. Rev. Condens. Matter Phys.
7, 141–170.

Saffman, P. G. & Turner, J. S.
1956
On the collision of droplets in turbulent clouds. J. Fluid Mech.
1, 16–30.

Siewert, C., Kunnen, R. P. J., Meinke, M. & Schröder, W.
2014a
On the collision detection for ellipsoidal particles in turbulence. In Proceedings of the ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting. *ASME paper* FEDS2014-2198.

Siewert, C., Kunnen, R. P. J. & Schröder, W.
2014b
Collision rates of small ellipsoids settling in turbulence. J. Fluid Mech.
758, 686–701.

Siewert, C., Kunnen, R. P. J. & Schröder, W.
2014c
Orientation statistics and settling velocity of ellipsoids in decaying turbulence. Atmos. Res.
142, 45–56.

Sundaram, S. & Collins, L. R.
1996
Numerical considerations in simulating a turbulent suspension of finite-volume particles. J. Comput. Phys.
124 (2), 337–350.

Szakall, M., Kessler, S., Diehl, K., Mitra, S. K. & Borrmann, S.
2014
A wind tunnel study of the effects of collision processes on the shape and oscillation for moderate-size raindrops. Atmos. Res.
142, 67–78.

Vohl, O., Mitra, S. K., Wurzler, S. C. & Pruppacher, H. R.
1999
A wind tunnel study of the effects of turbulence on the growth of cloud drops by collision and coalescence. J. Atmos. Sci.
56, 4088–4099.

Voßkuhle, M., Lévèque, E., Wilkinson, M. & Pumir, A.
2013
Multiple collisions in turbulent flows. Phys. Rev. E
88, 063008.

Voßkuhle, M., Pumir, A., Lévêque, E. & Wilkinson, M.
2014
Prevalence of the sling effect for enhancing collision rates in turbulent suspensions. J. Fluid Mech.
749, 841–852.

Wang, L.-P., Ayala, O., Gao, H., Andersen, C. & Mathews, K. L.
2014
Study of forced turbulence and its modulation by finite-size solid particles using the lattice Boltzmann approach. Comput. Maths Applics
67, 363–380.

Wang, L. P., Ayala, O., Kasprzak, S. E. & Grabowski, W. W.
2005
Theoretical formulation of collision rate and collision efficiency of hydrodynamically interacting clould droplets in turbulent atmosphere. J. Atmos. Sci.
62, 2433–2450.

Wang, P. K. & Ji, W.
2000
Collision efficiencies of ice crystals at low-intermediate Reynolds numbers colliding with supercooled cloud droplets: a numerical study. J. Atmos. Sci.
57, 1001–1009.

Yang, P., Lou, K. N., Bin, L., Liu, C., Yi, B. & Baum, B. A.
2015
On the radiative properties of ice clouds: light scattering, remote sensing and radiation parametrization. Adv. Atmos. Sci.
32, 32–63.