J. Abrahamson, Collision rates of small particles in a vigorously turbulent fluid, Chemical Engineering Science, vol.30, issue.11, pp.1371-1379, 1975.
DOI : 10.1016/0009-2509(75)85067-6

A. M. Ahmed and S. Elghobashi, On the mechanisms of modifying the structure of turbulent homogeneous shear flows by dispersed particles, Physics of Fluids, vol.12, issue.11, p.2906, 2000.
DOI : 10.1063/1.1308509

J. Bec, L. Biferale, G. Boffetta, A. Celani, M. Cencini et al., Acceleration statistics of heavy particles in turbulence, Journal of Fluid Mechanics, vol.550, issue.-1, p.349, 2006.
DOI : 10.1017/S002211200500844X

URL : https://hal.archives-ouvertes.fr/hal-00016887

G. Bellani and E. A. Variano, Slip velocity of large neutrally buoyant particles in turbulent flows, New Journal of Physics, vol.14, issue.12, p.125009, 2012.
DOI : 10.1088/1367-2630/14/12/125009

M. Boivin, O. Simonin, and K. D. Squires, Direct numerical simulation of turbulence modulation by particles in isotropic turbulence, Journal of Fluid Mechanics, vol.375, issue.1, pp.235-263, 1998.
DOI : 10.1017/S0022112098002821

J. C. Brändle-de-motta, W. Breugem, B. Gazanion, J. Estivalezes, S. Vincent et al., Numerical modelling of finite-size particle collisions in a viscous fluid, Physics of Fluids, vol.25, issue.8, p.25083302, 2013.
DOI : 10.1063/1.4817382

H. Brenner, The slow motion of a sphere through a viscous fluid towards a plane surface, Chemical Engineering Science, vol.16, issue.3-4, pp.242-251, 1961.
DOI : 10.1016/0009-2509(61)80035-3

E. Calzavarini, R. Volk, M. Bourgoin, E. Lévêque, J. Pinton et al., Acceleration statistics of finite-sized particles in turbulent flow: the role of Fax??n forces, Journal of Fluid Mechanics, vol.1, p.179, 2009.
DOI : 10.1017/S0022112005003368

M. Cisse, H. Homann, and J. Bec, Slipping motion of large neutrally buoyant particles in turbulence, Journal of Fluid Mechanics, vol.24, p.null?null, 2013.
DOI : 10.1103/PhysRevLett.106.154501

M. D. Cooley and M. E. , On the slow motion generated in a viscous fluid by the approach of a sphere to a plane wall or stationary sphere, Mathematika, vol.16, issue.01, pp.37-49, 1969.
DOI : 10.1016/0095-8522(63)90109-0

C. Corre, J. L. Estivalezes, S. Vincent, and O. Simonin, Direct Numerical Simulation of the Motion of Particles Larger Than the Kolmogorov Scale in a Homogeneous Isotropic Turbulence, Volume 1: Symposia, Parts A and B, 2008.
DOI : 10.1115/FEDSM2008-55156

E. Deutsch, Dispersion de particules dans une turbulence homogène isotrope stationnaire calculée par simulation numérique directe des grandeséchellesgrandeséchelles, 1992.

S. Elghobashi, On the two-way interaction between homogeneous turbulence and dispersed solid particles, 29th Joint Propulsion Conference and Exhibit, pp.1790-1790, 1993.
DOI : 10.2514/6.1993-1875

M. Elhimer, . Jean, . Praud, . Bazile, G. Marchal et al., Dynamics of finite size neutrally buoyant particles in isotropic turbulence, Journal of Physics: Conference Series, vol.318, issue.5, p.318052004, 2011.
DOI : 10.1088/1742-6596/318/5/052004

P. Fede, Modélisation et simulation de l'influence de la turbulence sur les collisions dans lesécoulementslesécoulements mono-et bi-solides, 2004.

A. Ferrante and S. Elghobashi, On the physical mechanisms of two-way coupling in particle-laden isotropic turbulence, Physics of Fluids, vol.15, issue.2, p.315, 2003.
DOI : 10.1063/1.1532731

J. R. Fessler, J. D. Kulick, and J. K. Eaton, Preferential concentration of heavy particles in a turbulent channel flow, Physics of Fluids, vol.6, issue.11, p.3742, 1994.
DOI : 10.1063/1.868445

H. Gao, H. Li, and L. Wang, Lattice Boltzmann simulation of turbulent flow laden with finite-size particles, Computers & Mathematics with Applications, vol.65, issue.2, 2011.
DOI : 10.1016/j.camwa.2011.06.028

H. Homann and J. Bec, Finite-size effects in the dynamics of neutrally buoyant particles in turbulent flow, Journal of Fluid Mechanics, vol.1, issue.1, pp.81-91, 2010.
DOI : 10.1103/PhysRevLett.99.184502

URL : https://hal.archives-ouvertes.fr/hal-00536425

J. Brändlde-de-motta and . César, Simulation desécoulementsdesécoulements turbulents avec des particules de taille finie en régime dense, 2013.

I. Kataoka, Local instant formulation of two-phase flow, International Journal of Multiphase Flow, vol.12, issue.5, pp.745-758, 1986.
DOI : 10.1016/0301-9322(86)90049-2

F. E. Kruis and K. A. Kusters, THE COLLISION RATE OF PARTICLES IN TURBULENT FLOW, Chemical Engineering Communications, vol.92, issue.1, pp.201-230, 1997.
DOI : 10.1002/aic.690300515

J. Lavieville, Simulations numériques et modélisation des interactions entre l'entra??nemententra??nement par la turbulence et les collisions interparticulaires enécoulements enécoulements gaz-solide, 1997.

D. Legendre, C. Daniel, and P. Guiraud, Experimental study of a drop bouncing on a wall in a liquid, Physics of Fluids, vol.17, issue.9, pp.97105-97118, 2005.
DOI : 10.1063/1.2010527

F. Lucci, A. Ferrante, and S. Elghobashi, Modulation of isotropic turbulence by particles of Taylor length-scale size, Journal of Fluid Mechanics, vol.17, pp.5-55, 2010.
DOI : 10.1007/BF03024331

F. Lucci, A. Ferrante, and S. Elghobashi, Is stokes number an appropriate indicator for turbulence modulation by particles of taylor-length-scale size? Physics of Fluids, p.25101, 2011.

N. N. Mansour and A. A. Wray, Decay of isotropic turbulence at low Reynolds number, Physics of Fluids, vol.6, issue.2, p.808, 1994.
DOI : 10.1063/1.868319

A. Naso and A. Prosperetti, The interaction between a solid particle and a turbulent flow, New Journal of Physics, vol.12, issue.3, p.33040, 2010.
DOI : 10.1088/1367-2630/12/3/033040

C. Poelma, J. Westerweel, and G. Ooms, Particle-fluid interactions in gridgenerated turbulence, Journal of Fluid Mechanics, vol.589, issue.1, pp.315-351, 2007.

N. M. Qureshi, U. Arrieta, C. Baudet, A. Cartellier, Y. Gagne et al., Acceleration statistics of inertial particles in turbulent flow, The European Physical Journal B, vol.66, issue.4, pp.531-536, 2008.
DOI : 10.1140/epjb/e2008-00460-x

URL : https://hal.archives-ouvertes.fr/hal-00399683

T. N. Randrianarivelo, G. Pianet, S. Vincent, and J. Caltagirone, Numerical modelling of solid particle motion using a new penalty method, International Journal for Numerical Methods in Fluids, vol.34, issue.10-11, pp.1245-1251, 2005.
DOI : 10.1002/fld.914

W. J. Rider and D. B. Kothe, Reconstructing Volume Tracking, Journal of Computational Physics, vol.141, issue.2, pp.112-152, 1998.
DOI : 10.1006/jcph.1998.5906

J. B. Ritz and J. P. Caltagirone, A numerical continuous model for the hydrodynamics of fluid particle systems, International Journal for Numerical Methods in Fluids, vol.271, issue.8, pp.1067-1090, 1999.
DOI : 10.1002/(SICI)1097-0363(19990830)30:8<1067::AID-FLD881>3.0.CO;2-6

C. Rosales and C. Meneveau, Linear forcing in numerical simulations of isotropic turbulence: Physical space implementations and convergence properties, Physics of Fluids, vol.17, issue.9, p.95106, 2005.
DOI : 10.1063/1.2047568

P. G. Saffman and J. S. Turner, On the collision of drops in turbulent clouds, Journal of Fluid Mechanics, vol.33, issue.01, pp.16-30, 1956.
DOI : 10.1016/0095-8522(52)90002-0

X. Shao, T. Wu, and Z. Yu, Fully resolved numerical simulation of particleladen turbulent flow in a horizontal channel at a low reynolds number, Journal of Fluid Mechanics, pp.1-26, 2012.

D. Kyle, J. K. Squires, and . Eaton, Particle response and turbulence modification in isotropic turbulence. Physics of Fluids A: Fluid Dynamics, p.1191, 1990.

S. Sundaram and L. R. Collins, Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations, Journal of Fluid Mechanics, vol.335, issue.75, p.109, 1997.
DOI : 10.1017/S0022112096004454

T. Tanaka and J. K. Eaton, Sub-Kolmogorov resolution partical image velocimetry measurements of particle-laden forced turbulence, Journal of Fluid Mechanics, vol.443, p.177, 2010.
DOI : 10.1063/1.1415735

C. M. Tchen, Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid, 1947.

A. Ten-cate, J. J. Derksen, L. M. Portela, and H. E. , Fully resolved simulations of colliding monodisperse spheres in forced isotropic turbulence, Journal of Fluid Mechanics, vol.519, pp.233-271, 2004.
DOI : 10.1017/S0022112004001326

P. Trontin, S. Vincent, J. L. Estivalezes, and J. P. Caltagirone, Direct numerical simulation of a freely decaying turbulent interfacial flow, International Journal of Multiphase Flow, vol.36, issue.11-12, 2010.
DOI : 10.1016/j.ijmultiphaseflow.2010.08.003

S. Vincent, J. C. Brändle-de-motta, A. Sarthou, J. Estivalezes, O. Simonin et al., A Lagrangian VOF tensorial penalty method for the DNS of resolved particle-laden flows, Journal of Computational Physics, vol.256, pp.582-614, 2014.
DOI : 10.1016/j.jcp.2013.08.023

URL : https://hal.archives-ouvertes.fr/hal-01078245

S. Vincent, A. Sarthou, J. Caltagirone, F. Sonilhac, P. Février et al., Augmented Lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids. Application to hydroplaning flows interacting with real tire tread patterns, Journal of Computational Physics, vol.230, issue.4, pp.956-983, 2011.
DOI : 10.1016/j.jcp.2010.10.006

G. A. Voth, A. L. Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz, Measurement of particle accelerations in fully developed turbulence, Journal of Fluid Mechanics, vol.469, 2002.
DOI : 10.1017/S0022112002001842

L. Wang, O. Ayala, H. Gao, C. Andersen, and K. L. Mathews, Study of forced turbulence and its modulation by finite-size solid particles using the lattice Boltzmann approach, Computers & Mathematics with Applications, vol.67, issue.2, pp.363-380, 2014.
DOI : 10.1016/j.camwa.2013.04.001

J. J. Williams and R. I. Crane, Particle collision rate in turbulent flow, International Journal of Multiphase Flow, vol.9, issue.4, pp.421-435, 1983.
DOI : 10.1016/0301-9322(83)90098-8

A. M. Wood, W. Hwang, and J. K. Eaton, Preferential concentration of particles in homogeneous and isotropic turbulence, International Journal of Multiphase Flow, vol.31, issue.10-11, pp.10-111220, 2005.
DOI : 10.1016/j.ijmultiphaseflow.2005.07.001

H. Xu and E. Bodenschatz, Motion of inertial particles with size larger than Kolmogorov scale in turbulent flows, Physica D: Nonlinear Phenomena, vol.237, issue.14-17, pp.14-172095, 2008.
DOI : 10.1016/j.physd.2008.04.022

W. Yang, Handbook of fluidization and fluid-particle systems, 2003.

Z. Zhang and A. Prosperetti, A second-order method for three-dimensional particle simulation, Journal of Computational Physics, vol.210, issue.1, pp.292-324, 2005.
DOI : 10.1016/j.jcp.2005.04.009