T. Aihara, Augmentation of convective heat transfer by gas-liquid mist, ASME IHTC Jerusalem KN, vol.29, pp.445-461, 1990.

T. Alazard, Low Mach Number Limit of the Full Navier-Stokes Equations, Archive for Rational Mechanics and Analysis, vol.180, issue.1, 2005.
DOI : 10.1007/s00205-005-0393-2
URL : https://hal.archives-ouvertes.fr/hal-00153152

I. Allais, G. Alvarez, and D. Flick, Analyse du transfert thermique entre un cylindre et un ??coulement d'air faiblement charg?? en gouttelettes d'eau, Revue G??n??rale de Thermique, vol.36, issue.4, pp.276-288, 1997.
DOI : 10.1016/S0035-3159(97)80688-5

F. Aztler and M. Lawes, Burning velocity in droplet suspensions, School of Mechanical Engineering, 1998.

C. Basilico, Etude du transfert convectif entre un cylindre chauffe et un ecoulement d'air charge de gouttelettes d'eau, International Journal of Heat and Mass Transfer, vol.24, issue.3, 1979.
DOI : 10.1016/0017-9310(81)90045-4

M. S. Bhatti and C. W. Savery, Augmentation of Heat Transfer in a Laminar External Gas Boundary Layer by the Vaporization of Suspended Droplets, Journal of Heat Transfer, vol.97, issue.2, pp.179-184, 1975.
DOI : 10.1115/1.3450338

P. Bhowmick and B. B. Bhattacharya, Number-theoretic interpretation and construction of a digital circle, Discrete Applied Mathematics, vol.156, issue.12, pp.2381-2399, 2008.
DOI : 10.1016/j.dam.2007.10.022

G. Bird, Molecular gas dynamics and the direct simulation of gas flows, 1994.

R. Borghi, Background on droplets and sprays. Combustion and Turbulence in two-phase flows, 1996.

G. D. Roy, S. M. Frolov, A. A. Borisov, and D. W. Netzer, Pulse detonation propulsion: challenges, current status, and future perspective, Progress in Energy and Combustion Science, pp.545-672, 2004.
DOI : 10.1016/j.pecs.2004.05.001

Z. Bouali, Impact d'une phase liquide dispersée sur le processus d'auto-inflammation : prise en compte d'une chimie détaillée, 2011.

A. Briand, Contribution à l'étude de la structure des détonations dans les milieux biphasiques, 2006.

M. Briscolini and P. Santangelo, Development of the mask method for incompressible unsteady flows, Journal of Computational Physics, vol.84, issue.1, pp.57-75, 1989.
DOI : 10.1016/0021-9991(89)90181-2

J. W. Buckel and S. Chandra, Hot wire ignition of hydrogen-oxygen mixtures, International Journal of Hydrogen Energy, vol.21, issue.1, 1994.
DOI : 10.1016/0360-3199(94)00107-B

J. H. Burgoyne and L. Cohen, The Effect of Drop Size on Flame Propagation in Liquid Aerosols, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.225, issue.1162, pp.375-392, 1954.
DOI : 10.1098/rspa.1954.0210

T. Poinsot, S. Candel, and A. Trouvé, Applications of direct numerical simulation to premixed turbulent combustion, Progress in Energy and Combustion Science, vol.21, issue.6, pp.531-576, 1996.
DOI : 10.1016/0360-1285(95)00011-9

K. Canneviere, Simulation numérique directe de la combustion turbulente diphasique : application à l'étude de la propagation et de la structure des flammes, 2003.

S. De-chaisemartin, Modèles Eulériens et simulation numérique de la dispersion turbulente de brouillards qui s'évaporent, p.2, 2009.

S. Chaudhuri and B. M. Cetegen, Blowoff characteristics of bluff-body stabilized conical premixed flames with upstream spatial mixture gradients and velocity oscillations, Combustion and Flame, vol.153, issue.4, pp.616-633, 2008.
DOI : 10.1016/j.combustflame.2007.12.008

H. Chiu and E. J. Croke, Group combustion of liquid fuel sprays, Energy Technology Lab. Rep, 1981.

H. Chiu and T. Liu, Group Combustion of Liquid Droplets, Combustion Science and Technology, vol.6, issue.4, pp.127-131, 1977.
DOI : 10.1080/00102207708946823

P. Clavin, Dynamic behavior of premixed flame fronts in laminar and turbulent flows, Progress in Energy and Combustion Science, vol.11, issue.1
DOI : 10.1016/0360-1285(85)90012-7

A. W. Cook and J. Riley, Direct Numerical Simulation of a Turbulent Reactive Plume on a Parallel Computer, Journal of Computational Physics, vol.129, issue.2, pp.263-283, 1996.
DOI : 10.1006/jcph.1996.0249

S. Candel, F. Lacas, N. Darabiha, and C. Rolon, GROUP COMBUSTION IN SPRAY FLAMES, Multiphase Science and Technology, vol.11, issue.1
DOI : 10.1615/MultScienTechn.v11.i1.10

M. Massot, J. Reveillon, S. De-chaisemartin, and F. Laurent, Evaluation of eulerian multi-fluid versus lagrangian methods for ejection of polydisperse evaporating sprays by vortices, Journal of Computational physics, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00169721

L. Fréret, F. Laurent, S. De-chaisemartin, D. Kah, R. O. Fox et al., Turbulent combustion of polydisperse evaporating sprays with droplet crossing : Eulerian modeling of collisions at finite knudsen and validation, Proceedings of the Summer Program, 2008.

L. Fréret, O. Thomine, J. Reveillon, S. De-chaisemartin, F. Laurent et al., On the role of preferential segregation in flame dynamics in polydisperse evaporating sprays, Proceedings of the Summer Program 2010, 2010.

. Massot, . De-chaisemartin, . Fréret, and L. Kah, Eulerian multi-fluid models : modeling and numerical methods In Modelling and Computation of Nanoparticles in Fluid Flows Available on HAL, Lectures of the von Karman Institute. NATO RTO AVT 169, pp.1-86, 2009.

L. Freret, S. De-chaisemartin, J. Reveillon, F. Laurent, and M. Massot, Eulerian models and three-dimensional numerical simulation of polydisperse sprays, th International Conference on Multiphase Flow, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00498207

L. Fréret, S. De-chaisemartin, J. Réveillon, F. Laurent, and M. Massot, Eulerian models and three-dimensional numerical simulation of polydisperse sprays, Proceedings of the International Conference on Multiphase Flows, pp.1-12, 2010.

S. De-chaisemartin, L. Freret, D. Kah, F. Laurent, R. O. Fox et al., Turbulent combustion of polydisperse evaporating sprays with droplet crossing : Eulerian modeling and validation in the infinite knudsen limit, Proceedings of the Summer Program, 2008.

D. Kah, F. Laurent, L. Fréret, S. De-chaisemartin, R. O. Fox et al., Eulerian quadrature-based moment models for polydisperse evaporating sprays. Flow, Turbulence and Combustion, 2010.
DOI : 10.1007/s10494-010-9286-z
URL : https://hal.archives-ouvertes.fr/hal-00449866

J. Dewitte, Modélisation de l'impact d'un brouillard de gouttes en évaporation et sous pression sur une paroi chauffée, École nationale supérieure de l'aéronautique et de l'espace, 2006.

G. Dufour, Modélisation multi-fluide eulérienne pour les écoulements diphasiques à inclusions dispersées, 2002.

A. Hujeirat, F. Thielemann, J. Dusek, and A. Nusser, Compressed low mach number flows in astrophysics : a non-linear newtonian numerical solver, Astronomy and Astrophysics, 2008.

T. Echekki and J. Ferziger, A simplified reaction rate model ad its application to the analysis of premixed flames, Combust. Sci. Tech, vol.89, pp.293-351, 1993.

S. Elghobashi and G. C. , Direct simulation of particle dispersion in a decaying isotropic turbulence, Journal of Fluid Mechanics, vol.82, issue.-1, pp.655-700, 1992.
DOI : 10.1063/1.1761356

E. Feireisl and A. Novotny, The Low Mach Number Limit for the Full Navier???Stokes???Fourier System, Archive for Rational Mechanics and Analysis, vol.39, issue.2, pp.77-107, 2007.
DOI : 10.1007/s00205-007-0066-4
URL : https://hal.archives-ouvertes.fr/hal-01284037

P. Vedula, R. O. Fox, and I. D. Boyd, A quadrature-based method of moments for solution of the collisional boltzmann equation, submitted to journal of statisical physics, 2008.

R. Fox, In computational models for turbulent multiphase reacting flows. CISM Courses and Lectures, 2007.
DOI : 10.1017/cbo9780511610103

R. O. Fox, D. L. Marchisio, and R. O. , Eulerian multi-fluid models for polydisperse evaporating sprays. chap. iii of "multi-phase reacting flows : Modelling and simulation, pp.79-123

R. O. Fox, A quadrature-based third-order moment method for dilute gas-particle flows, Journal of Computational Physics, vol.227, issue.12, pp.6313-6350
DOI : 10.1016/j.jcp.2008.03.014

. Garcia, Développement et validation du formalisme Euler-Lagrange dans un solveur parallèle non-structuré pour la simulation aux grandes échelles, 2009.

B. E. Gelfand, Droplet breakup phenomena in flows with velocity lag, Progress in Energy and Combustion Science, vol.22, issue.3, pp.201-265, 1996.
DOI : 10.1016/S0360-1285(96)00005-6

P. Givi, Model-free simulations of turbulent reactive flows, Progress in Energy and Combustion Science, vol.15, issue.1, pp.1-76, 1983.
DOI : 10.1016/0360-1285(89)90006-3

B. Gouesbet, Eulerian and Lagrangian approaches for predicting the behaviour of discrete particles in turbulent flows. Progress in energy and combustion science, pp.133-159, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00649712

I. Goldfarb, V. Goldshtein, J. B. Greenberg, and G. Kuzmenko, Thermal explosion in a droplet-gas cloud. Combustion Theory and Modellin, pp.289-316, 2000.
DOI : 10.1088/1364-7830/4/3/304

P. L. Bhatnagar, E. P. Gross, and M. Krook, A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems, Physical Review, vol.94, issue.3, pp.511-525
DOI : 10.1103/PhysRev.94.511

X. Rogue, G. Rodriguez, J. F. Haas, and R. Saurel, Experimental and numerical investigation of the shock-induced fluidization of a particles bed, Shock Waves, vol.8, issue.1, pp.29-45, 1998.
DOI : 10.1007/s001930050096

M. Meyer, S. Hickel, and N. A. Adams, Assessment of Implicit Large-Eddy Simulation with a Conservative Immersed Interface Method for turbulent cylinder flow, International Journal of Heat and Fluid Flow, vol.31, issue.3, pp.368-377, 2010.
DOI : 10.1016/j.ijheatfluidflow.2010.02.026

M. Tyagi, S. Roy, A. D. Harvey, I. , and S. Acharya, Simulation of laminar and turbulent impeller stirred tanks using immersed boundary method and large eddy simulation technique in multi-block curvilinear geometries, Chemical Engineering Science, vol.62, issue.5, pp.368-377, 2010.
DOI : 10.1016/j.ces.2006.11.017

R. M. Corless, G. H. Gonnet, D. E. Hare, D. J. Jeffrey, and D. E. Knuth, On the LambertW function, Advances in Computational Mathematics, vol.1, issue.6, pp.329-359, 1996.
DOI : 10.1007/BF02124750

F. Bouchut, S. Jin, and X. Li, Numerical Approximations of Pressureless and Isothermal Gas Dynamics, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.135-158
DOI : 10.1137/S0036142901398040

M. Massot, F. Laurent, D. Kah, and S. De-chaisemartin, A robust moment method for evaluating the disappearance rate of evaporating sprays, submitted to siam journal of applied mathematics and available on hal, 2009.

A. R. Kerstein and C. K. Law, Percolation in combusting sprays I: Transition from cluster combustion to percolate combustion in non-premixed sprays, Proc. Nineteenth Symp. (Intl) on Combustion, 1982.
DOI : 10.1016/S0082-0784(82)80272-5

H. Chiu, H. Y. Kim, and E. J. Croke, Internal group combustion of liquid droplets, Proc. Nineteenth Symp. (Intl) on Combustion
DOI : 10.1016/S0082-0784(82)80273-7

D. Papailou, P. Koutmos, and A. Bakrozis, Simulations of fuel injection and flame stabilization in the wake formation region of a slender cylinder, Proceedings of the Combustion Institute, pp.91-99, 2000.
DOI : 10.1016/S0082-0784(00)80199-X

H. D. Landahl and R. G. Herrmann, Sampling of liquid aerosols by wires, cylinders, and slides, and the efficiency of impaction of the droplets, Journal of Colloid Science, vol.4, issue.2, 1948.
DOI : 10.1016/0095-8522(49)90038-0

F. Laurent, Modélisation mathématique et numérique de la combustion de brouillards de gouttes polydispersés, 2002.

F. Laurent, Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.3, pp.431-468, 2006.
DOI : 10.1051/m2an:2006023
URL : https://hal.archives-ouvertes.fr/hal-00116318

F. Laurent and M. Massot, Multi-fluid modelling of laminar polydisperse spray flames: origin, assumptions and comparison of sectional and sampling methods, Combustion Theory and Modelling, vol.123, issue.4, pp.537-572
DOI : 10.1088/1364-7830/5/4/303

F. Laurent and M. Massot, Multi-fluid modelling of laminar polydisperse spray flames: origin, assumptions and comparison of sectional and sampling methods, Combustion Theory and Modelling, vol.123, issue.4, pp.537-572, 2001.
DOI : 10.1088/1364-7830/5/4/303

R. O. Fox, F. Laurent, and M. Massot, Numerical simulation of spray coalescence in an Eulerian framework: Direct quadrature method of moments and multi-fluid method, Journal of Computational Physics, vol.227, issue.6, pp.3058-3088
DOI : 10.1016/j.jcp.2007.10.028
URL : https://hal.archives-ouvertes.fr/hal-00157269

T. H. Lin, C. K. Law, and S. H. Chung, Theory of laminar flame propagation in offstoichiometric dilute spray, Int. J. Heat Mass Transfert, vol.5, issue.31, pp.1023-1034, 1998.

S. Lee, K. Lele, and P. Moin, Numerical simulations of spatially evolving compressible turbulence. Center for Turbulence Research, 1991.

. Lesieur, Turbulence in fluids. Number 978-1402064340 in Fluids mechanics and its applications, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00261553

C. Letty, Étude d'une flamme en V diphasique. Approches expérimentale et numérique, 2008.

T. H. Lin and Y. Y. Sheu, Theory of laminar flame propagation in near-stoichiometric dilute sprays, Combustion and Flame, vol.84, issue.3-4, pp.333-342, 1991.
DOI : 10.1016/0010-2180(91)90010-9

A. Majda and J. Sethian, The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion, Combustion Science and Technology, vol.6, issue.3-4, pp.185-205, 1985.
DOI : 10.1080/00102208508960376

F. Mashayek, Direct numerical simulations of evaporating droplet dispersion in forced low Mach number turbulence, International Journal of Heat and Mass Transfer, vol.41, issue.17, pp.2601-2617, 1998.
DOI : 10.1016/S0017-9310(97)00326-8

F. Mashayek, Simulations of Reacting Droplets Dispersed in Isotropic Turbulence, AIAA Journal, vol.37, issue.11, pp.1420-1425, 1999.
DOI : 10.2514/2.617

F. Mashayek, Numerical investigation of reacting droplets in homogeneous shear turbulence, Journal of Fluid Mechanics, vol.405, pp.1-36, 2000.
DOI : 10.1017/S0022112099007132

J. R. Dawson, R. L. Gordon, J. Kariuki, E. Mastorakos, A. R. Masri et al., Visualization of blow-off events in bluff-body stabilized turbulent premixed flames, Proceedings of the Combustion institute, pp.1559-1566, 2011.
DOI : 10.1016/j.proci.2010.05.044

F. Laurent, M. Massot, and P. Villedieu, Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays, Journal of Computational Physics, vol.194, issue.2, pp.505-543
DOI : 10.1016/j.jcp.2003.08.026
URL : https://hal.archives-ouvertes.fr/hal-00187619

J. Reveillon, C. Pera, M. Massot, and R. Knikker, Eulerian analysis of the dispersion of evaporating polydispersed sprays in a statistically stationary turbulent flow, Journal of Turbulence, vol.5, pp.1-27, 2004.
DOI : 10.1088/1468-5248/5/1/001
URL : https://hal.archives-ouvertes.fr/hal-00188023

F. Mashayek, F. A. Jaberi, R. S. Miller, and P. Givi, Dispersion and polydispersity of droplets in stationary isotropic turbulence, International Journal of Multiphase Flow, vol.23, issue.2, pp.1-36, 2000.
DOI : 10.1016/S0301-9322(96)00065-1

R. Miller and J. Bellan, Direct numerical simulation of a confined three-dimensional gas mixing layer with one evaporating hydrocarbon-droplet-laden stream, Journal of Fluid Mechanics, vol.384, pp.293-338, 1999.
DOI : 10.1017/S0022112098004042

R. Mittal and G. Iaccarino, IMMERSED BOUNDARY METHODS, Annual Review of Fluid Mechanics, vol.37, issue.1, pp.239-261, 2005.
DOI : 10.1146/annurev.fluid.37.061903.175743

T. Ménard, Développement d'une méthode level set pour le suivi d'interface. Application à la rupture de jet liquide, 2007.

N. Okongo and J. Bellan, subgrid analysis of temporal mixing layers with evaporating droplets, Physics of Fluids, vol.11, issue.6, pp.1573-1591, 2000.
DOI : 10.1017/S002211207900001X

J. Ouazzani and Y. Garrabos, A new numerical algorithm for low mach number supercritical fluids. ArXiV, 2007.
DOI : 10.1615/ichmt.2008.cht.2430
URL : https://hal.archives-ouvertes.fr/hal-00142988

S. Pascaud, Vers la simulation aux grandes échelles des écoulements turbulents diphasiques réactifs : application aux foyers aéronautiques

M. Pawlowski and B. Simon, Calculating liquid droplets settling on a cylinder in gas-liquid spray flow, International Journal of Heat and Fluid Flow, vol.5, issue.3, pp.179-184, 1984.
DOI : 10.1016/0142-727X(84)90075-4

C. S. Peskin, The Fluid Dynamics of Heart Valves: Experimental, Theoretical, and Computational Methods, Annual Review of Fluid Mechanics, vol.14, issue.1, pp.235-259, 1982.
DOI : 10.1146/annurev.fl.14.010182.001315

X. Pialat, Développement d'une méthode hybride eulérienne-lagrangienne pour la modélisation numérique de la phase particulaire dans les écoulements turbulents gaz-particules

M. Pilch and C. A. Erdman, Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop, International Journal of Multiphase Flow, vol.13, issue.6, pp.741-757, 1987.
DOI : 10.1016/0301-9322(87)90063-2

M. L. Pitteway and R. J. Botting, Integer circles, etc. ? three move extension of bresenham's algorithm. Computer graphics and image processing, pp.260-261, 1974.
DOI : 10.1016/0146-664x(74)90020-3

T. Poinsot and D. Veynante, Theoretical and numerical combustion, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00270731

G. Jourdan, L. Biamino, C. Mariani, C. Blanchot, E. Daniel et al., Attenuation of a shock wave passing through a cloud of water droplets, Shock Waves, vol.26, issue.11, pp.285-296, 2000.
DOI : 10.1007/s00193-010-0251-5

A. S. Almgren, J. B. Bell, C. A. Rendleman, and M. Zingale, Low mach number modeling of type 1a supernovae, ArXiV, 2005.

A. S. Almgren, J. B. Bell, C. A. Rendleman, and M. Zingale, Low mach number modeling of type 1a supernovae, II energy evolution, ArXiV, 2006.

S. Chaudhuri, S. Kostka, M. W. Renfro, and B. M. Cetegen, Blowoff dynamics of bluff body stabilized turbulent premixed flames, Combustion and Flame, vol.157, issue.4, pp.790-802, 2010.
DOI : 10.1016/j.combustflame.2009.10.020

R. Guichard, Direct numerical simulation of statistically stationary one-and two-phase turbulent combustion : a turbulent injection procedure. Flow, turbulence and combustion, pp.133-167, 2004.

J. Reveillon and F. Demoulin, Effects of the preferential segregation of droplets on evaporation and turbulent mixing, Journal of Fluid Mechanics, vol.583, pp.273-302, 2007.
DOI : 10.1017/S0022112007006180
URL : https://hal.archives-ouvertes.fr/hal-00474853

J. Reveillon and F. Demoulin, Evaporating droplets in turbulent reacting flows, Proceedings of the Combustion Institute, pp.2319-2326, 2007.
DOI : 10.1016/j.proci.2006.07.114

J. Reveillon and L. Vervisch, Spray vaporization in nonpremixed turbulent combustion modeling: a single droplet model, Combustion and Flame, vol.121, issue.1-2, pp.75-90, 2000.
DOI : 10.1016/S0010-2180(99)00157-1

J. Reveillon and L. Vervisch, Analysis of weakly turbulent dilute-spray flames and spray combustion regimes, Journal of Fluid Mechanics, vol.537, issue.-1, pp.317-347, 2005.
DOI : 10.1017/S0022112005005227

R. S. Rogallo, Numerical experiments in homogeneous turbulence, NASA Tech. Mem, 1981.

J. Réveillon and L. Vervisch, Accounting for spray vaporization in non-premixed turbulent combustion modeling : A single droplet model (sdm), Combustion and flame, vol.1, pp.75-90, 2000.

C. Pantano, S. Sarkar, and F. Williams, Mixing of a conserved scalar in a turbulent reacting shear layer, Journal of Fluid Mechanics, vol.481, pp.291-328, 2003.
DOI : 10.1017/S0022112003003872

C. Saulnier, Modélisation numérique tridimensionnelle de l'écoulement réactif triphasique gaz-goutte-particule au sein d'un réacteur à lit fluidisé FFC, 2006.

H. Yamashita, M. Shimada, and T. Takeno, A numerical study on flame stability at the transition point of jet diffusion flames. 26th Symposium (International) on combustion/The Combustion institute, pp.27-34, 1996.

J. Greenberg, I. Silverman, and Y. Tambour, On the origins of spray sectional conservation equations, Combustion and Flame, vol.93, issue.1-2, pp.90-96, 1993.
DOI : 10.1016/0010-2180(93)90085-H

J. B. Greenberg, I. Silverman, and Y. Tambour, A new heterogeneous burning velocity formula for the propagation of a laminar flame front through a polydisperse spray of droplets, Combustion and Flame, vol.104, issue.3, pp.358-368, 1996.
DOI : 10.1016/0010-2180(95)00140-9

J. B. Greenberg, I. Silverman, and Y. Tambour, On Droplet Enhancement of the Burning Velocity of Laminar Premixed Spray Flames, Combustion and Flame, vol.113, issue.1-2, pp.271-273, 1998.
DOI : 10.1016/S0010-2180(97)00191-0

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, pp.235-263, 1998.
DOI : 10.1017/S0022112098002821

O. Vermorel, B. Bedat, O. Simonin, and T. Poinsot, Numerical study and modelling of turbulence modulation in a particle laden stab flow, J. Turb, vol.4, 2003.

W. A. Sirignano, Fluid dynamics and transport of droplets and sprays, 1999.

D. R. Guildenbecher, C. Lopez-rivera, and P. E. Sojka, Secondary atomization, Experiments in Fluids, vol.78, issue.2, pp.371-402, 2009.
DOI : 10.1007/s00348-008-0593-2

I. E. Sutherland, R. F. Sproull, and R. A. Schumacker, A characterization of ten hiddensurface algorithms, ACM Computing Surveys (CSUR), vol.6, 1974.

K. D. Squires and J. K. Eaton, Preferential concentration of particles by turbulence, Physics of Fluids A: Fluid Dynamics, vol.2, issue.5, pp.1169-1178, 1991.
DOI : 10.1146/annurev.fl.22.010190.001231

M. W. Vance, K. D. Squires, and O. Simonin, Properties of the particle velocity field in gas-solid turbulent channel flow, Physics of Fluids, vol.379, issue.6, 2006.
DOI : 10.1017/S0022112098003073

S. Succi, The lattice boltzmann equation for fluid dynamics and beyond, 2001.

T. Suzuki and H. Chiu, Multi droplet combustion on liquid propellant, Proc. Ninth Intl Symp. on Space and Technology and Science, pp.145-154, 1971.

S. Tanguy, Développement d'une méthode de suivi d'interface. Application aux écoulements diphasiques, 2004.

G. O. Thomas, On the Conditions Required for Explosion Mitigation by Water Sprays, Process Safety and Environmental Protection, vol.78, issue.5, p.78, 2000.
DOI : 10.1205/095758200530862

L. Fréret, F. Laurent, S. De-chaisemartin, D. Kah, R. O. Fox et al., Eulerian moment models for polydisperse weakly collisional sprays : model and validation, Proceedings of the Summer program, 2010.

O. Thomine, Développement d'un module lagrangien de collisions de particules afin de valider les algorithmes de résolution eulérienne de gaz sans pression, 2008.

W. Ling, J. Chung, J. Troutt, and C. Crowe, Direct numerical simulation of a three-dimensional temporal mixing layer with particle dispersion, Journal of Fluid Mechanics, vol.358, pp.61-85, 1998.
DOI : 10.1017/S0022112097008227

L. Vervisch and T. Poinsot, DIRECT NUMERICAL SIMULATION OF NON-PREMIXED TURBULENT FLAMES, Annual Review of Fluid Mechanics, vol.30, issue.1
DOI : 10.1146/annurev.fluid.30.1.655

A. Posa, A. Lippolis, R. Verzicco, and E. Balaras, Large-eddy simulations in mixed-flow pumps using an immersed-boundary method, Computers & Fluids, vol.47, issue.1, pp.33-43, 2011.
DOI : 10.1016/j.compfluid.2011.02.004

L. M. Wachters and N. A. Westerling, The heat transfer from a hot wall to impinging water drops in the spheroidal state, Chemical Engineering Science, vol.21, issue.11, pp.1047-1056, 1966.
DOI : 10.1016/0009-2509(66)85100-X

M. M. Wang and T. W. Sheu, An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations, Journal of Computational and Applied Mathematics, vol.79, issue.1, pp.147-165, 1997.
DOI : 10.1016/S0377-0427(96)00172-0
URL : http://doi.org/10.1016/s0377-0427(96)00172-0

P. Wesseling and C. W. Oosterlee, Geometric multigrid with applications to computational fluid dynamics, Journal of Computational and Applied Mathematics, vol.128, issue.1-2, pp.311-334, 2001.
DOI : 10.1016/S0377-0427(00)00517-3
URL : http://dx.doi.org/10.1016/s0377-0427(00)00517-3

C. Westbrook and F. Dryer, Simplified Reaction Mechanisms for the Oxidation of Hydrocarbon Fuels in Flames, Combustion Science and Technology, vol.12, issue.1-2, pp.31-43, 1981.
DOI : 10.1080/00102208108946970

F. A. Williams, Spray Combustion and Atomization, Physics of Fluids, vol.26, issue.6, pp.541-545, 1958.
DOI : 10.1063/1.1724379

H. N. Najm, P. S. Wyckoff, and O. M. Knio, A Semi-implicit Numerical Scheme for Reacting Flow, Journal of Computational Physics, vol.143, issue.2, pp.381-402, 1998.
DOI : 10.1006/jcph.1997.5856

J. Yang and E. Balaras, An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries, Journal of Computational Physics, vol.215, issue.1, pp.12-40, 2006.
DOI : 10.1016/j.jcp.2005.10.035

H. Y. Kim, S. S. Yoon, and J. C. Hewson, Effect of initial conditions of modeled pdfs on droplet characteristics for coalescing and evaporating turbulent water spray used in fire suppression applications, Fire Safety Journal, 2007.

L. Yuan, Ignition of hydraulic fluid sprays by open flames and hot surfaces, Journal of Loss Prevention in the Process Industries, vol.19, issue.4, pp.353-361, 2006.
DOI : 10.1016/j.jlp.2005.09.001