A. , A. P. , S. I. Khudyaev, and Y. B. Zeldovich, Flame propagation in the reacting gaseous mixture, Archivum Combustion, vol.1, pp.9-21, 1981.

A. , F. , N. Nehitoua, and M. Sakiz, Code saturne : A finite volume code for turbulent flows, Int. J. Finite Volumes, vol.voir aussi, 2004.

B. , R. , and M. Destriau, Combustion and flames, chemical and physical principles, 1998.

B. , R. , and M. Champion, Modélisation et théorie des flammes, 2000.

C. T. Bowman, R. K. Hanson, W. C. Gardiner, V. Frenklach, M. Lis-sianski et al., An optimized detailed chemical reaction mechanism for methane combustion and no formation and reburning, 1877.

K. N. Bray, Turbulent flows with premixed reactants in turbulent reacting flows, Topics in applied physics, p.115, 1980.

K. N. Bray, Premixed flames in stagnating turbulence: Part I. The general formulation for counterflowing streams and gradient models for turbulent transport, Combustion and Flame, vol.84, issue.3-4, pp.391-410, 1991.
DOI : 10.1016/0010-2180(91)90014-3

K. N. Bray and P. A. Libby, Recent developments in the BML model of premixed turbulent combustion, Turbulent Reactive Flows, 1994.

K. N. Bray and J. B. Moss, A unified statistical model of the premixed turbulent flame, Acta Astronautica, vol.4, issue.3-4, pp.291-319, 1977.
DOI : 10.1016/0094-5765(77)90053-4

K. N. Bray, P. A. Libby, G. Masuya, and J. B. Moss, Turbulence Production in Premixed Turbulent Flames, Combustion Science and Technology, vol.22, issue.3-4, pp.127-140, 1981.
DOI : 10.1080/00102208108547512

K. N. Bray, P. A. Libby, and J. B. Moss, Unified modeling approach for premixed turbulent combustion???Part I: General formulation, Combustion and Flame, vol.61, issue.1, pp.87-102, 1985.
DOI : 10.1016/0010-2180(85)90075-6

K. N. Bray, M. Champion, and P. A. Libby, Premixed flames in stagnating turbulence part IV: a new theory for the Reynolds stresses and Reynolds fluxes applied to impinging flows, Combustion and Flame, vol.120, issue.1-2, pp.1-18, 2000.
DOI : 10.1016/S0010-2180(99)00080-2

K. N. Bray, M. Champion, P. A. Libby, and N. Swaminathan, Finite rate chemistry and presumed PDF models for premixed turbulent combustion, Combustion and Flame, vol.146, issue.4, pp.665-673, 2006.
DOI : 10.1016/j.combustflame.2006.07.001

URL : https://hal.archives-ouvertes.fr/hal-00148460

B. , J. D. , and G. S. Ludford, Theory of Laminar Flames Statistics of conditional fluid velocity in the corrugated flamelets regime of turbulent premixed combustion : A Direct Numerical Simulation Study, Journal of Combustion, 1982.

C. , P. , C. Law, R. K. Cheng, and I. Shepherd, Velocity and scalar fields of turbulent premixed flames in a stagnation flow, Proc. Combust. Inst, vol.22, pp.739-745, 1989.

C. , P. , C. Law, J. R. Hertzberg, and R. K. Cheng, Structure and propagation of turbulent premixed flames stabilized in a stagnation flow, Proc. Combust. Inst, vol.21, pp.1493-1499, 1988.

C. , P. , A. Li?n´anli?, and . Li?n´an, Theory of gaseous combustion, Nonequilibrium Cooperative Phenomena in Physics and Related Fields, pp.291-338, 1984.

C. , R. M. , G. H. Gonnet, D. E. Hare, D. J. Jeffrey et al., On the Lambert W function, Adv. Comput. Math, vol.5, pp.329-359, 1996.

D. , B. J. , and F. H. Harlow, Turbulence Transport Equations, Physics of Fluids, vol.10, issue.11, pp.2634-2649, 1970.
DOI : 10.1063/1.1762039

D. Damk¨ohler and G. , Influence of turbulence on flame velocity in gaseous mixtures, ZH Elektrochem, vol.46, p.601, 1940.

D. , O. , B. Renou, and A. M. Boukhalfa, Simultaneous measurement of temperature and fuel mole fraction using acetone planar induced fluorescence and rayleigh scattering in stratified flames, Experiments in Fluids, vol.40, pp.452-463, 2006.

D. , L. , and R. A. Antonia, Modeling of the Reynolds stress transport equation, AIAA J, vol.35, issue.3, pp.450-455, 1997.

D. , H. Q. , V. Robin, A. Mura, and M. Champion, Analysis of algebraic closures of the mean scalar dissipation rate of the progress variable applied to stagnating turbulent flames, Flow Turbul. Combust, vol.90, pp.301-323, 2013.

E. , U. , and W. V. Sarloos, Front propagation into unstable states : Universal algebraic convergence towards uniformly pulled fronts, Physica D, vol.146, pp.1-99, 2000.

F. , A. , L. S. Kovasznay, R. Dumas, and M. Coantic, La turbulence en mécanique des fluides, 1976.

G. , H. , B. Tayebi, C. Galizzi, and D. Escudiéescudi´escudié, Burning rates and surface characteristics of hydrogen-enriched turbulent lean premixed methane-air flames, International Journal of Hydrogen Energy, vol.35, pp.11342-11348, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00955203

H. , M. , A. V. Johansson, and A. D. Burden, The basic of turbulence modelling, Turbulence and Transition Modelling, pp.81-154, 1996.

H. , J. O. Mcgraw-hill40-]-im, J. H. , K. J. Huh, S. Nishiki et al., Turbulence Zone conditional assessment of flame-generated turbulence with DNS database of a turbulent premixed flame, Combustion and Flame, vol.137, pp.478-488, 1975.

J. , W. P. , and B. E. Launder, The prediction of laminarization with a two equations model of turbulence, International Journal of Heat Mass Transfer, vol.15, pp.301-314, 1972.

J. , G. , and P. Vidal, An introduction to the instability of flames, shocks, and detonations, Hydronamics and nonlinear instabilities, pp.493-673, 1998.

K. , K. Q. , C. Losier, V. Robin, A. Mura et al., Relevance of two basic turbulent premixed combustion models for the numerical simulations of V-shaped flames, Combustion Science and Technology, 2016.

K. , K. Q. , V. Robin, A. Mura, and M. Champion, Implications of laminar flame finite thickness on the structure of turbulent premixed flames, Journal of Fluid Mechanics, vol.787, pp.116-147, 2016.

K. , A. N. , I. Petrovskii, and N. Piskunov, Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem, Bull.MGU, vol.1, issue.6, 1937.

K. , K. K. Launder, and B. E. , Principles of combustion Advanced turbulence models for industrial applications, Turbulence and Transition Modelling, pp.193-231, 1986.

L. , B. E. , and D. B. Spalding, The numerical computation of turbulent flows, Comp. Meth. in Applied Mech. Eng, vol.3, pp.269-289, 1974.

L. , B. E. , G. J. Reece, and W. Rodi, Progress in the development of a Reynolds-stress turbulence closure, J. Fluid Mech, vol.68, pp.537-566, 1975.

L. , E. , and K. Y. Huh, Zone conditional modeling of premixed turbulent flames at high Damköhler number, Combustion and Flame, vol.138, pp.211-224, 2004.

L. , P. A. , and K. N. Bray, Counter-gradient diffusion in premixed turbulent flames, AIAA Journal, vol.19, pp.205-213, 1981.

L. , P. A. , and F. A. Williams, Presumed PDF analysis of partially premixed turbulent combustion, Combust. Sci. Technol, vol.161, pp.351-390, 2000.

L. , A. N. , and V. A. Sabelnikov, Scalar flux at the leading edge of premixed turbulent flame brush, 8th Mediterranean Combustion Symposium (MCS), 2013.
URL : https://hal.archives-ouvertes.fr/hal-01061349

M. , T. , and R. Borghi, A new model of premixed wrinkled flame based on a scalar dissipation equation, Combustion and Flame, vol.96, pp.443-457, 1994.

M. , G. , and P. A. Libby, Non gradient theory for oblique turbulent flame with premixed reactants, AIAA J, vol.19, pp.1590-1599, 1981.

M. , J. B. , and K. N. Bray, A unified statistical model of the premixed turbulent flame, Acta Astronautica, vol.4, issue.3-4, pp.291-319, 1977.
DOI : 10.1016/0094-5765(77)90053-4

M. , A. , V. Robin, and M. Champion, Modeling of scalar dissipation in partially premixed turbulent flames. Combustion and Flame, Combustion and Flame, vol.149, pp.217-224, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00246547

M. , A. , K. Tsuboi, and T. Hasegawa, Modelling of the correlation between velocity and reactive scalar gradients in turbulent premixed flames based on DNS data, Combustion Theory and Modelling, vol.12, issue.4, pp.671-698, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00414161

M. , A. , and R. Borghi, Towards an extended scalar dissipation equation for turbulent premixed combustion, Combustion and Flame, vol.133, pp.193-196, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00014835

M. , A. , F. Galzin, and R. Borghi, A unified pdf-flamelet model for turbulent premixed combustion, Combustion Science Technology, vol.175, pp.1573-1609, 2003.

M. , A. , V. Robin, K. Q. Kha, and M. Champion, A layered description of a premixed flame stabilized in stagnating turbulence, Combustion Science and Technology, vol.188, issue.9, pp.1592-1618, 2016.

N. , D. , A. Shavit, and M. Wolfshtein, Two point correlation model and the redistribution of Reynolds stress, Phys. Fluids, vol.16, pp.738-743, 1973.

N. , C. , P. Clavin, A. Li?n´anli?, and . Li?n´an, Travelling waves in the cool flame regime " , Spatial inhomogeneities and transient behaviour in chemical kinetics, pp.317-334, 1990.

P. , T. , S. Candel, and A. Trouvétrouv´trouvé, Direct numerical simulation of premixed turbulent combustion, Prog. Energy Combust. Sci, vol.12, pp.531-576, 1996.

P. , T. , and D. Veynante, Theoretical and numerical combustion, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00270731

P. , S. B. , and M. S. Anand, Flamelet and distributed combustion in premixed turbulent flames, Proc. Combust. Inst, vol.20, pp.403-410, 1984.

R. , G. , M. Champion, O. Gicquel, N. Darabiha et al., Modeling nonadiabatic turbulent premixed reactive flows including tabulated chemistry, Combustion and Flame, vol.141, issue.3, pp.271-280, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00116898

R. , V. , A. Mura, M. Champion, and P. Pilon, A multi Dirac presumed PDF model for turbulent reactive flows with variable equivalence ratio, Combustion Science and Technology, vol.178, pp.1843-1870, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00148442

R. , V. , A. Mura, M. Champion, O. Degardin et al., Experimental and numerical analysis of stratified turbulent Vshaped flames, Combustion and Flame, vol.153, pp.288-315, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00352949

R. , V. , A. Mura, and M. Champion, Direct and indirect thermal expansion effects in turbulent premixed flames, Journal of Fluid Mechanics, vol.689, pp.149-182, 2011.

R. , C. , and R. S. Cant, Turbulent transport in premixed flame, 1994.

S. , V. A. , C. Corvellec, and P. Bruel, Analysis of the influence of cold front quenching on the turbulent burning velocity associated with an Eddy- Break-Up model, Combustion and Flame, vol.113, pp.492-497, 1998.

S. , V. A. , and A. N. Lipatnikov, A simple model for evaluating conditioned velocities in premixed turbulent flames, Combustion Science and Technology, vol.183, pp.588-613, 2011.

S. , V. A. , and P. Bruel, Determination of the burning velocity domain of a statistically stationary turbulent premixed flame in presence of countergradient transport, Journal of Combustion, vol.2011, pp.1-7, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00866932

S. , V. A. , and A. N. Lipatnikov, Transition from pulled to pushed premixed turbulent flames due to countergradient transport, Combustion Theory and Modelling, vol.17, issue.6, pp.1154-1175, 2013.

S. , V. A. , and A. N. Lipatnikov, Transition from pulled to pushed fronts in premixed turbulent combustion : Theoretical and numerical study, Combustion and Flame, vol.162, pp.2893-2903, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01229265

S. , R. Sphepherd, I. G. , J. B. Moss, K. N. Bray et al., LesécoulementsLesécoulements turbulents The numerical method of lines Turbulent transport in confined premixed flames " , 19 th Symp. (Int.) on Combust The Combustion Institute Mixing and chemical reaction in steady confined turbulent flames A first course on turbulence The coupling between flame surface dynamics and species mass conservation in premixed turbulent combustion, 13 th Symp. (Int.) on Combust Proceedings of the summer program, pp.423-431, 1971.

V. , D. , and T. Poinsot, Reynolds averaged and large eddy simulation modeling for turbulent combustion, Les Editions de Physique, pp.105-140, 1997.

V. , D. , A. Trouve, K. N. Bray, and T. Mantel, Gradient and counter-gradient scalar transport in turbulent premixed flames, Journal of Fluid Mechanics, vol.332, pp.263-293, 1997.

V. , D. , and L. Vervisch, Turbulent combustion modeling, Prog. Energy Combust. Sci, vol.28, pp.193-266, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00116320

W. , F. A. Benjamin-cummings98-]-zeldovich, Y. B. , G. I. Barenblatt, V. B. Librovich et al., Combustion Theory, The Mathematical Theory of Combustion and Explosion, 1985.

Z. , Y. B. , and D. A. Frank-kamenetskii, 19. A Theory of Thermal Flame Propagation, Acta Physicochimica U.R.S.S, vol.9, issue.2, 1938.
DOI : 10.1515/9781400862979.262