References
- Wang L-P, Maxey MR. Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J Fluid Mech. 1993;256:26–68.
- Woittiez EJP, Jonker HJJ, Portela LM. On the combined effects of turbulence and gravity on droplet collisions in clouds: a numerical study. J Atmos Sci. 2009;66:1926–1943.
- Rosa B, Parishani H, Ayala O, et al. Kinematic and dynamic collision statistics of cloud droplets from high-resolution simulations. New J Phys. 2013;15:045032.
- Yang CY, Lei U. The role of turbulent scales in the settling velocity of heavy particles in homogeneous isotropic turbulence. J Fluid Mech. 1998;371:179–205.
- Jin G, He G-W, Wang L-P. Large-eddy simulation of turbulent collision of heavy particles in isotropic turbulence. Phys Fluids. 2010;22:055106.
- Davila J, Hunt JCR. Settling of small particles near vortices and in turbulence. J Fluid Mech. 2001;440:117–145.
- Ayala O, Rosa B, Wang L-P, et al. Effects of turbulence on the geometric collision rate of sedimenting droplets. Part 1. Results from direct numerical simulation. New J Phys. 2008;10:075015.
- Wang B. Inter-phase interaction in a turbulent, vertical channel flow laden with heavy particles. Part I: Numerical methods and particle dispersion properties. Int J Heat Mass Transfer. 2010;53:2506–2521.
- Wang B. Inter-phase interaction in a turbulent, vertical channel flow laden with heavy particles. Part II: Two-phase velocity statistical properties. Int J Heat Mass Transfer. 2010;53:2522–2529.
- He SD, Wang B. Dispersion of particles in wall-bounded particle-laden turbulent flows with high wall permeability. Int J Multiphase Flow. 2015;77:104–119.
- Aliseda A, Cartellier A, Hainaux F, et al. Effect of preferential concentration on the settling velocity of heavy particles in homogeneous isotropic turbulence. J Fluid Mech. 2002;468:77–105.
- Gobert Ch. Analytical assessment of models for large eddy simulation of particle laden flow. J Turb. 2010;11(23):1–24.
- Fede P, Simonin O. Numerical study of the subgrid turbulence effects on the statistics of heavy colliding particles. Phys Fluids. 2006;17:045103.
- Minier JP. On Lagrangian stochastic methods for turbulent polydisperse two-phase reactive flows. Prog Energy Combust Sci. 2015;50:1–62.
- Pozorski J, Apte SV. Filtered particle tracking in isotropic turbulence and stochastic modelling of subgrid-scale dispersion. Int J Multiphase Flow. 2009;35:118–128.
- Knorps M, Pozorski J. An inhomogeneous stochastic subgrid scale model for particle dispersion in large-eddy simulation. In: Fröhlich J, Kuerten H, Geurts BJ, et al., editors. Direct and large-eddy simulation IX. Heidelberg: Springer; 2015. p. 671–678.
- Orszag SA, Patterson GS. Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys Rev Lett. 1972;28:76–79.
- Ayala O, Parishani H, Chen L, et al. DNS of hydrodynamically interacting droplets in turbulent clouds: parallel implementation and scalability analysis using 2D domain decomposition. Comp Phys Comm. 2014;185:3269–3290.
- Rosa B, Parishani H, Ayala O, et al. Settling velocity of small inertial particles in homogeneous isotropic turbulence from high-resolution DNS. Int J Multiphase Flow. 2016;83:217–231.
- Ayala O, Wang L-P. Parallel implementation and scalability analysis of 3D fast Fourier transform using 2D domain decomposition. Parallel Comput. 2013;39:58–77.
- Eswaran V, Pope SB. An examination of forcing in direct numerical simulations of turbulence. Comp Fluids. 1988;16:257–278.
- Rosa B, Parishani H, Ayala O, et al. Effects of forcing time scale on the simulated turbulent flows and turbulent collision statistics of inertial particles. Phys Fluids. 2015;27:015105.
- Chollet J-P, Lesieur M. Parameterization of small scales of three dimensional isotropic turbulence utilizing spectral closure. J Atmos Sci. 1981;38:2747–2757.
- Chollet J-P. Two-point closure used for a subgrid scale model in large eddy simulations. In: Bradbury LJS, Durst F, Launder BE, et al. editors. Turbulent shear flows. Berlin Heidelberg: Springer; vol. 230, 1985. pp. 161–176.
- Hinsberg MAT van, Thije Boonkkamp JHM ten, Toschi F, et al. Optimal interpolation schemes for particle tracking in turbulence. Phys Rev E. 2013;87(4):043307.
- Gobert Ch, Manhart M. Subgrid modelling for particle-LES by spectrally optimised interpolation (SOI). J Comput Phys. 2011;230:7796–7820.
- Bosse T, Kleiser L, Meiburg E. Small particles in homogeneous turbulence: settling velocity enhancement by two-way coupling. Phys Fluids. 2006;18:027102.
- Dejoan A. DNS experiments on the settling of heavy particles in homogeneous turbulence: two-way coupling and Reynolds number effects. J Phys: Conf Ser. 2011;333:012006.
- Nielsen P. Turbulence effects on the settling of suspended particles. J Sediment Petrol. 1993;63:835–838.
- Good GH, Ireland PJ, Bewley GP, et al. Settling regimes of inertial particles in isotropic turbulence. J Fluid Mech. 2014;759:R3.
- Rosa B, Parishani H, Ayala O, et al. High-resolution simulation of turbulent collision of cloud droplets. Lect Notes Comput Sc. 2012;7204:401–410.
- Onishi R, Takahashi K, Komori S. Influence of gravity on collisions of monodispersed droplets in homogeneous isotropic turbulence. Phys Fluids. 2009;21:125108.
- Ireland PJ, Bragg AD, Collins LR. The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 2. Simulations with gravitational effects. J Fluid Mech. 2016;796:659–711.
- Ray B, Collins LR. A subgrid model for clustering of high-inertia particles in large-eddy simulations of turbulence. J Turb. 2014;15:366-385.
- Pozorski J. Models of turbulent flows and particle dynamics. In: Minier JP, Pozorski J, editors. Particles in wall-bounded turbulent flows: deposition, re-suspension and agglomeration. Heidelberg: Springer; 2017. p. 97–150.
- He G, Jin G, Yang Y. Space-time correlations and dynamic coupling in turbulent flows. Annu Rev Fluid Mech. 2017;49:51–70.