. De-l-'enthalpie-et-des-espèces, ainsi que la possibilité d'ajouter des conditions limites à l'interface de façon simple. Cette méthode nous semble très prometteuse et nous souhaitons poursuivre le développement de celle-ci à l'avenir car il reste quelques points délicats à étudier

P. Domingo, L. Vervisch, and J. Réveillon, DNS analysis of partially premixed combustion in spray and gaseous turbulent flame-bases stabilized in hot air, Combustion and Flame, vol.140, issue.3, pp.172-195, 2005.
DOI : 10.1016/j.combustflame.2004.11.006

W. P. Jones, A. J. Marquis, and K. Vogiatzaki, Large-eddy simulation of spray combustion in a gas turbine combustor, Combustion and Flame, vol.161, issue.1, 2013.
DOI : 10.1016/j.combustflame.2013.07.016

Z. Bouali, C. Pera, and J. Reveillon, Numerical analysis of the influence of two-phase flow mass and heat transfer on n-heptane autoignition, Combustion and Flame, vol.159, issue.6, pp.2056-2068, 2012.
DOI : 10.1016/j.combustflame.2012.01.018

A. Neophytou, E. S. Richardson, and E. Mastorakos, Spark ignition of turbulent recirculating non-premixed gas and spray flames: A model for predicting ignition probability, Combustion and Flame, vol.159, issue.4, pp.1503-1522, 2012.
DOI : 10.1016/j.combustflame.2011.12.015

S. Tanguy, T. Ménard, and A. Berlemont, A Level Set Method for vaporizing two-phase flows, Journal of Computational Physics, vol.221, issue.2, pp.837-853, 2007.
DOI : 10.1016/j.jcp.2006.07.003
URL : https://hal.archives-ouvertes.fr/hal-00649783

Y. J. Jiang, A. Umemura, and C. K. Law, An experimental investigation on the collision behaviour of hydrocarbon droplets, Journal of Fluid Mechanics, vol.326, issue.-1, pp.171-190, 1992.
DOI : 10.1007/BF00187061

J. Qian and C. K. Law, Regimes of coalescence and separation in droplet collision, Journal of Fluid Mechanics, vol.331, pp.59-80, 1997.
DOI : 10.1017/S0022112096003722

A. Mark, M. Linne, E. Paciaroni, D. Berrocal, and . Sedarsky, Ballistic imaging of liquid breakup processes in dense sprays, Proceedings of the Combustion Institute, pp.2147-2161, 2009.

D. Sedarsky, S. Idlahcen, C. Rozé, and J. Blaisot, Velocity measurements in the near field of a diesel fuel injector by ultrafast imagery, Experiments in Fluids, vol.19, issue.6, pp.1-12, 2013.
DOI : 10.1007/s00348-012-1451-9

Y. Wang, Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velocimetry, Nature Physics, vol.31, issue.4, pp.305-309, 2008.
DOI : 10.1038/nphys840

. Gruner, Quantitative analysis of highly transient fuel sprays by time-resolved x-radiography, Applied Physics Letters, vol.83, issue.8, pp.1671-1673, 2003.

C. Kuo-cheng-lin, J. Rajnicek, C. Mccall, K. Carter, and . Fezzaa, Investigation of pure-and aerated-liquid jets using ultra-fast x-ray phase contrast imaging. Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment, pp.194-196, 2011.

C. Dumouchel, On the experimental investigation on primary atomization of liquid streams, Experiments in Fluids, vol.2001, issue.3, pp.371-422, 2008.
DOI : 10.1007/s00348-008-0526-0

A. N. Kolmogorov, Dissipation of energy in a locally isotropic turbulence. Doklady Akad, Nauk SSSR, vol.32, p.141, 1941.

S. B. Pope, Turbulent flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00338511

M. Lesieur, Turbulence in fluids, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00261553

S. Osher, A. James, and . Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

S. Osher and R. P. Fedkiw, Level Set Methods: An Overview and Some Recent Results, Journal of Computational Physics, vol.169, issue.2, pp.463-502, 2001.
DOI : 10.1006/jcph.2000.6636

M. Sussman, P. Smereka, and S. Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, Journal of Computational Physics, vol.114, issue.1, pp.146-159, 1994.
DOI : 10.1006/jcph.1994.1155

M. Sussman, E. Fatemi, P. Smereka, and S. Osher, An improved level set method for incompressible two-phase flows, Computers & Fluids, vol.27, issue.5-6, pp.5-6663, 1998.
DOI : 10.1016/S0045-7930(97)00053-4

M. Herrmann, A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids, Journal of Computational Physics, vol.227, issue.4, pp.2674-2706, 2008.
DOI : 10.1016/j.jcp.2007.11.002

S. Tanguy and A. Berlemont, Application of a level set method for simulation of droplet collisions, International Journal of Multiphase Flow, vol.31, issue.9, pp.1015-1035, 2005.
DOI : 10.1016/j.ijmultiphaseflow.2005.05.010
URL : https://hal.archives-ouvertes.fr/hal-00649762

E. Olsson and G. Kreiss, A conservative level set method for two phase flow, Journal of Computational Physics, vol.210, issue.1, pp.225-246, 2005.
DOI : 10.1016/j.jcp.2005.04.007

O. Desjardins, V. Moureau, and H. Pitsch, An accurate conservative level set/ghost fluid method for simulating turbulent atomization, Journal of Computational Physics, vol.227, issue.18, pp.8395-8416, 2008.
DOI : 10.1016/j.jcp.2008.05.027

C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, vol.39, issue.1, pp.201-225, 1981.
DOI : 10.1016/0021-9991(81)90145-5

D. Gueyffier, J. Li, A. Nadim, R. Scardovelli, and S. Zaleski, Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows, Journal of Computational Physics, vol.152, issue.2, pp.423-456, 1999.
DOI : 10.1006/jcph.1998.6168

D. Fuster, A. Bagué, T. Boeck, L. L. Moyne, A. Leboissetier et al., Simulation of primary atomization with an octree adaptive mesh refinement and VOF method, International Journal of Multiphase Flow, vol.35, issue.6, pp.550-565, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2009.02.014
URL : https://hal.archives-ouvertes.fr/hal-01445430

E. Aulisa, S. Manservisi, R. Scardovelli, and S. Zaleski, Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry, Journal of Computational Physics, vol.225, issue.2, pp.2301-2319, 2007.
DOI : 10.1016/j.jcp.2007.03.015

S. Afkhami, S. Zaleski, and M. Bussmann, A mesh-dependent model for applying dynamic contact angles to VOF simulations, Journal of Computational Physics, vol.228, issue.15, pp.5370-5389, 2009.
DOI : 10.1016/j.jcp.2009.04.027

M. Sussman and E. G. Puckett, A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows, Journal of Computational Physics, vol.162, issue.2, pp.301-337, 2000.
DOI : 10.1006/jcph.2000.6537

T. Menard, S. Tanguy, and A. Berlemont, Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet, International Journal of Multiphase Flow, vol.33, issue.5, pp.510-524, 2007.
DOI : 10.1016/j.ijmultiphaseflow.2006.11.001
URL : https://hal.archives-ouvertes.fr/hal-00649785

S. , O. Unverdi, and G. Tryggvason, Computations of multi-fluid flows, Physica D : Nonlinear Phenomena, vol.60, issue.1-4, pp.70-83, 1992.

H. Terashima and G. Tryggvason, A front-tracking/ghost-fluid method for fluid interfaces in compressible flows, Journal of Computational Physics, vol.228, issue.11, pp.4012-4037, 2009.
DOI : 10.1016/j.jcp.2009.02.023

G. Tryggvason, A. Esmaeeli, and N. , Direct numerical simulations of flows with phase change Frontier of Multi-Phase Flow Analysis and Fluid-Structure, Computers & Structures, vol.83, pp.6-7445, 2005.

G. Tryggvason, B. Bunner, A. Esmaeeli, D. Juric, N. Al-rawahi et al., A Front-Tracking Method for the Computations of Multiphase Flow, Journal of Computational Physics, vol.169, issue.2, pp.708-759, 2001.
DOI : 10.1006/jcph.2001.6726

D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell, A Hybrid Particle Level Set Method for Improved Interface Capturing, Journal of Computational Physics, vol.183, issue.1, pp.83-116, 2002.
DOI : 10.1006/jcph.2002.7166

E. Simone, P. Hieber, and . Koumoutsakos, A lagrangian particle level set method, Journal of Computational Physics, vol.210, issue.1, pp.342-367, 2005.

G. Oger, M. Doring, B. Alessandrini, and P. Ferrant, An improved SPH method: Towards higher order convergence, Journal of Computational Physics, vol.225, issue.2, pp.1472-1492, 2007.
DOI : 10.1016/j.jcp.2007.01.039

N. Grenier, D. L. Touzé, A. Colagrossi, M. Antuono, and G. Colicchio, Viscous bubbly flows simulation with an interface SPH model, Ocean Engineering, vol.69, issue.0, pp.6988-102, 2013.
DOI : 10.1016/j.oceaneng.2013.05.010
URL : https://hal.archives-ouvertes.fr/hal-01161474

J. Shinjo and A. Umemura, Simulation of liquid jet primary breakup: Dynamics of ligament and droplet formation, International Journal of Multiphase Flow, vol.36, issue.7, pp.513-532, 2010.
DOI : 10.1016/j.ijmultiphaseflow.2010.03.008

R. P. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999.
DOI : 10.1006/jcph.1999.6236

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

R. D. Reitz, Modeling atomization processes in high-pressure vaporizing sprays, Atomization and Spray Technology, vol.3, pp.309-337, 1987.

M. Gorokhovski, The stochastic sub-grid-scale approach for spray atomization, Journal of Atomization and Spray, vol.11, pp.505-519, 2001.

M. Gorokhovski and V. Saveliev, Analyses of Kolmogorov???s model of breakup and its application into Lagrangian computation of liquid sprays under air-blast atomization, Physics of Fluids, vol.15, issue.1, pp.184-192, 2003.
DOI : 10.1063/1.1527914

M. Gorokhovski and M. Herrmann, Modeling Primary Atomization, Annual Review of Fluid Mechanics, vol.40, issue.1, pp.343-366, 2008.
DOI : 10.1146/annurev.fluid.40.111406.102200
URL : https://hal.archives-ouvertes.fr/hal-00442584

A. Vallet and R. Borghi, Modélisation eulerienne de l'atomisation d'un jet liquide. Comptes Rendus de l'Académie des Sciences -Series IIB -Mechanics- Physics-Astronomy, pp.1015-1020, 1999.

J. Chesnel, Simulation aux grandes échelles de l'atomisation, Application à l'injection automobile, 2010.

J. Chesnel, T. Menard, J. Reveillon, and F. Demoulin, Subgrid analysis of liquid jet atomization. Atomization and Sprays, pp.41-67, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00573786

J. Chesnel, J. Reveillon, T. Menard, and F. Demoulin, Large eddy simulation of liquid jet atomization. Atomization and Sprays, pp.711-736, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00767791

R. Lebas, T. Menard, P. A. Beau, A. Berlemont, and F. X. Demoulin, Numerical simulation of primary break-up and atomization: DNS and modelling study, International Journal of Multiphase Flow, vol.35, issue.3, pp.247-260, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2008.11.005
URL : https://hal.archives-ouvertes.fr/hal-00649748

A. Umemura, Interactive droplet vaporization and combustion : approach from asymptotics. Progress in energy and combustion science, pp.325-372, 1994.

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

J. Reveillon and F. Demoulin, Effects of the preferential segregation of droplets on evaporation and turbulent mixing, Journal of Fluid Mechanics, vol.583, issue.1, pp.273-302, 2007.
DOI : 10.1017/S0022112007006180
URL : https://hal.archives-ouvertes.fr/hal-00474853

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

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

G. Strotos, M. Gavaises, A. Theodorakakos, and G. Bergeles, Numerical investigation on the evaporation of droplets depositing on heated surfaces at low Weber numbers, International Journal of Heat and Mass Transfer, vol.51, issue.7-8, pp.1516-1529, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2007.07.045

G. Strotos, M. Gavaises, A. Theodorakakos, and G. Bergeles, Numerical investigation of the evaporation of two-component droplets, Fuel, vol.90, issue.4, pp.1492-1507, 2011.
DOI : 10.1016/j.fuel.2011.01.017

W. J. Samuel and . Welch, Local simulation of two-phase flows including interface tracking with mass transfer, Journal of Computational Physics, vol.121, issue.1, pp.142-154, 1995.

X. Calimez, Simulation à petite échelle par une méthode V.O.F. d'écoulements diphasiques réactifs, 1998.

D. Juric and G. Tryggvason, Computations of boiling flows, International Journal of Multiphase Flow, vol.24, issue.3, pp.387-410, 1998.
DOI : 10.1016/S0301-9322(97)00050-5

W. J. Samuel, J. Welch, and . Wilson, A volume of fluid based method for fluid flows with phase change, J. Comput. Phys, vol.160, issue.2, pp.662-682, 2000.

G. Tomar, G. Biswas, A. Sharma, and A. Agrawal, Numerical simulation of bubble growth in film boiling using a coupled level-set and volume-of-fluid method, Physics of Fluids, vol.17, issue.11, p.17112103, 2005.
DOI : 10.1063/1.2136357

F. Gibou, L. Chen, D. Nguyen, and S. Banerjee, A level set based sharp interface method for the multiphase incompressible Navier???Stokes equations with phase change, Journal of Computational Physics, vol.222, issue.2, pp.536-555, 2007.
DOI : 10.1016/j.jcp.2006.07.035

J. Schlottke and B. Weigand, Direct numerical simulation of evaporating droplets, Journal of Computational Physics, vol.227, issue.10, pp.5215-5237, 2008.
DOI : 10.1016/j.jcp.2008.01.042

Y. Jin and B. D. Shaw, Computational modeling of n-heptane droplet combustion in air???diluent environments under reduced-gravity, International Journal of Heat and Mass Transfer, vol.53, issue.25-26, pp.25-265782, 2010.
DOI : 10.1016/j.ijheatmasstransfer.2010.08.005

G. Luret, G. Blokkeel, R. Lebas, T. Ménard, A. Berlemont et al., Spray interactions : modeling of collision/coalescence phenomena, 22nd European Conference on Liquid Atomization and Spray Systems, 2008.

G. Luret, T. Menard, G. Blokkeel, A. Berlemont, J. Réveillon et al., MODELING COLLISION OUTCOME IN MODERATELY DENSE SPRAYS, Atomization and Sprays, vol.20, issue.3, p.93, 2010.
DOI : 10.1615/AtomizSpr.v20.i3.60
URL : https://hal.archives-ouvertes.fr/hal-00649752

G. Luret, T. Ménard, A. Berlemont, and F. X. Demoulin, DNS Study of Collision and Coalescence Over a Wide Range of Volume Fraction, ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia ??? Parts A, B, and C, 2010.
DOI : 10.1115/FEDSM-ICNMM2010-30701

G. Agbaglah, S. Delaux, D. Fuster, J. Hoepffner, C. Josserand et al., Parallel simulation of multiphase flows using octree adaptivity and the volume-of-fluid method, Comptes Rendus M??canique, vol.339, issue.2-3, pp.194-207, 2011.
DOI : 10.1016/j.crme.2010.12.006
URL : https://hal.archives-ouvertes.fr/hal-01445421

G. Luret, Etude numérique des phénomènes de collision/coalescence en milieu dense, 2010.

T. Ménard, Développement d'une méthode Level Set pour le suivi d'interface, application de la rupture de jet liquide, 2007.

C. Shu, Essentially non-oscillatory and weighted essentially nonoscillatory schemes for hyperbolic conservation laws, 1997.
DOI : 10.1007/bfb0096355
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.895

X. Liu, R. P. Fedkiw, and M. Kang, A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains, Journal of Computational Physics, vol.160, issue.1, pp.151-178, 2000.
DOI : 10.1006/jcph.2000.6444
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.5776

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

L. Danaila, R. Antonia, and P. Burattini, Progress in studying small-scale turbulence using ??exact?? two-point equations, New Journal of Physics, vol.6, issue.1, p.128, 2004.
DOI : 10.1088/1367-2630/6/1/128

T. Ishihara, T. Gotoh, and Y. Kaneda, Study of High???Reynolds Number Isotropic Turbulence by Direct Numerical Simulation, Annual Review of Fluid Mechanics, vol.41, issue.1, pp.165-180, 2009.
DOI : 10.1146/annurev.fluid.010908.165203

T. Gotoh, D. Fukayama, and T. Nakano, Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation, Physics of Fluids, vol.14, issue.3, pp.1065-1081, 2002.
DOI : 10.1063/1.1448296

C. Guichard, J. Reveillon, and R. Haugel, Direct Numerical Simulation of Statistically Stationary One- and Two-Phase Turbulent Combustion: A Turbulent Injection Procedure, Flow, Turbulence and Combustion formerly `Applied Scientific Research', vol.73, issue.2, pp.133-167, 2004.
DOI : 10.1023/B:APPL.0000049273.27776.f5

S. De-chaisemartin, L. Fréret, D. Kah, F. Laurent, R. O. Fox et al., Eulerian models for turbulent spray combustion with polydispersity and droplet crossing, Comptes Rendus M??canique, vol.337, issue.6-7, pp.6-7438, 2009.
DOI : 10.1016/j.crme.2009.06.016
URL : https://hal.archives-ouvertes.fr/hal-00408719

B. Duret, J. Reveillon, T. Menard, and F. X. Demoulin, Improving primary atomization modeling through DNS of two-phase flows, International Journal of Multiphase Flow, vol.55, issue.0, pp.55130-137, 2013.
DOI : 10.1016/j.ijmultiphaseflow.2013.05.004

J. U. Brackbill, D. B. Kothe, and C. Zemach, A continuum method for modeling surface tension, Journal of Computational Physics, vol.100, issue.2, pp.335-354, 1992.
DOI : 10.1016/0021-9991(92)90240-Y

E. Labourasse, D. Lacanette, A. Toutant, P. Lubin, S. Vincent et al., Towards large eddy simulation of isothermal two-phase flows: Governing equations and a priori tests, International Journal of Multiphase Flow, vol.33, issue.1, pp.1-39, 2007.
DOI : 10.1016/j.ijmultiphaseflow.2006.05.010

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, pp.11-12891, 2010.
DOI : 10.1016/j.ijmultiphaseflow.2010.08.003

B. Duret, G. Luret, J. Reveillon, T. Menard, A. Berlemont et al., DNS analysis of turbulent mixing in two-phase flows, International Journal of Multiphase Flow, vol.40, issue.0, pp.4093-105, 2012.
DOI : 10.1016/j.ijmultiphaseflow.2011.11.014
URL : https://hal.archives-ouvertes.fr/hal-00649803

C. Corre, J. Estivalezes, S. Vincent, and S. Olivier, Direct numerical simulation of the motion of particles larger than the kolomogorov scale in a homogeneous isotropic turbulence, ASME Fluids Engineering Conference, pp.10-14, 2008.

J. Lu and G. Tryggvason, Effect of bubble size in turbulent bubbly downflow in a vertical channel, Chemical Engineering Science, vol.62, issue.11, pp.3008-3018, 2007.
DOI : 10.1016/j.ces.2007.02.012

J. A. Sethian, A fast marching level set method for monotonically advancing fronts., Proceedings of the National Academy of Sciences USA 93, p.1591, 1996.
DOI : 10.1073/pnas.93.4.1591

M. Kang, R. P. Fedkiw, and X. D. Liu, Boundary conditions capturing method for multiphase incompressible flow, Journal of Scientific Computing, vol.3, pp.323-360, 2000.

V. Eswaran and S. B. Pope, Direct numerical simulations of the turbulent mixing of a passive scalar, Physics of Fluids, vol.31, issue.3, pp.506-520, 1988.
DOI : 10.1063/1.866832

C. Morel, On the surface equations in two-phase flows and reacting single-phase flows, International Journal of Multiphase Flow, vol.33, issue.10, pp.1045-1073, 2007.
DOI : 10.1016/j.ijmultiphaseflow.2007.02.008

V. A. Iyer, J. Abraham, and V. Magi, Exploring injected droplet size effects on steady liquid penetration in a Diesel spray with a two-fluid model, International Journal of Heat and Mass Transfer, vol.45, issue.3, pp.519-531, 2002.
DOI : 10.1016/S0017-9310(01)00168-5

S. Jay, F. Lacas, and S. Candel, Combined surface density concepts for dense spray combustion, Combustion and Flame, vol.144, issue.3, pp.558-577, 2006.
DOI : 10.1016/j.combustflame.2005.07.017
URL : https://hal.archives-ouvertes.fr/hal-00133285

N. Beheshti, A. Burluka, and M. Fairweather, Assessment of ?-y liq model predictions for air-assisted atomisation. Theoretical and Computational Fluid Dynamics, pp.381-397, 2007.

G. Tryggvason, S. Thomas, J. Lu, and B. Aboulhasanzadeh, Multiscale issues in DNS of multiphase flows, Acta Mathematica Scientia, vol.30, issue.2, pp.551-562, 2010.
DOI : 10.1016/S0252-9602(10)60062-8

V. Eswaran and S. B. Pope, Examination of forcing in direct numerical simulations of turbulence. Computers and Fluids Demoulin and R. Borghi. Modeling of turbulent spray combustion with application to diesel like experiment, Combustion and Flame, vol.16, issue.1293, pp.257-278281, 1988.

R. Borghi, Turbulent combustion modelling, Progress in Energy and Combustion Science, vol.14, issue.4, pp.245-292, 1988.
DOI : 10.1016/0360-1285(88)90015-9

P. A. Libby and F. A. Williams, Turbulent reacting flows, 1994.
DOI : 10.1007/3-540-10192-6

L. Danaila and R. A. Antonia, Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence, Physics of Fluids, vol.21, issue.11, p.111702, 2009.
DOI : 10.1063/1.3264881

T. Poinsot and D. Veynante, Theoretical and numerical combustion, p.522, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00270731

Q. Duc, R. P. Nguyen, M. Fedkiw, and . Kang, A boundary condition capturing method for incompressible flame discontinuities, Journal of Computational Physics, vol.172, issue.1, pp.71-98, 2001.

D. Tariq and . Aslam, A partial differential equation approach to multidimensional extrapolation, Journal of Computational Physics, vol.193, issue.1, pp.349-355, 2004.

F. Gibou, R. P. Fedkiw, L. Cheng, and M. Kang, A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains, Journal of Computational Physics, vol.176, issue.1, pp.205-227, 2002.
DOI : 10.1006/jcph.2001.6977

P. H. Chiu, R. K. Lin, and T. W. Sheu, A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier???Stokes equations in time-varying complex geometries, Journal of Computational Physics, vol.229, issue.12, pp.4476-4500, 2010.
DOI : 10.1016/j.jcp.2010.02.013

E. Noel, Simulation numérique directe d'écoulements à l'aide d'une méthode de frontière immergée, 2012.

R. Borghi and M. Destriau, La combustion et les flammes, 1995.