D. G. Goodwin, H. K. Moffat, and R. L. Speth, Cantera : An object-oriented software toolkit for chemical kinetics, thermodynamics, and transport processes

E. Mallard and H. L. Chatelier, Sur la vitesse de propagation de l'inflammation dans les melanges explosifs, Comptes rendus de l'Academie des Sciences, pp.145-1881

J. Abraham, F. Williams, and F. Bracco, A Discussion of Turbulent Flame Structure in Premixed Charges, SAE Technical Paper Series, p.18, 1985.
DOI : 10.4271/850345

Y. B. Zeldovich, 16. Theory of Combustion and Detonation of Gases, Academy of Sciences, p.18, 1944.
DOI : 10.1515/9781400862979.162

F. A. Williams, Combustion Theory, pp.19-72, 1985.
URL : https://hal.archives-ouvertes.fr/hal-00014918

D. B. Spalding, Some fundamentals of combustion. Gas Turbine series, Butterworths Scientific, p.19, 1955.

J. B. Chen and H. G. Im, Stretch effects on the burning velocity of turbulent premixed hydrogen/air flames, Proceedings of the Combustion Institute, pp.211-218, 2000.
DOI : 10.1016/S0082-0784(00)80213-1

G. K. Giannakopoulos, A. Gatzoulis, C. E. Frouzakis, M. Matalon, and A. G. Tomboulides, Consistent definitions of ???Flame Displacement Speed??? and ???Markstein Length??? for premixed flame propagation, Combustion and Flame, vol.162, issue.4, pp.1249-1264, 2015.
DOI : 10.1016/j.combustflame.2014.10.015

G. Dayma, F. Halter, and P. Dagaut, New insights into the peculiar behavior of laminar burning velocities of hydrogen???air flames according to pressure and equivalence ratio, Combustion and Flame, vol.161, issue.9, pp.2235-2241, 2014.
DOI : 10.1016/j.combustflame.2014.02.009

B. Lewis and G. Von-elbe, Combustion, Flames and Explosions of Gases, p.29, 1987.

O. Kurata, S. Takahashi, and Y. Uchiyama, Influence of preheat temperature on the laminar burning velocity of methane-air mixtures. SAE Technical Paper, p.29, 1994.

Y. Ogami and H. Kobayashi, Laminar Burning Velocity of Stoichiometric CH4/air Premixed Flames at High-Pressure and High-Temperature, JSME International Journal Series B, vol.48, issue.3, pp.603-609, 2006.
DOI : 10.1299/jsmeb.48.603

Y. Dong, C. M. Vagelopoulos, G. R. Spedding, and F. N. Egolfopoulos, Measurement of laminar flame speeds through digital particle image velocimetry: Mixtures of methane and ethane with hydrogen, oxygen, nitrogen, and helium, Proceedings of the Combustion Institute, pp.1419-1426, 2002.
DOI : 10.1016/S1540-7489(02)80174-2

Y. Huang, C. J. Sung, and J. A. Eng, Laminar flame speeds of primary reference fuels and reformer gas mixtures, Combustion and Flame, vol.139, issue.3, pp.239-251, 2004.
DOI : 10.1016/j.combustflame.2004.08.011

C. M. Vagelopoulos and F. N. Egolfopoulos, Direct experimental determination of laminar flame speeds, Proceedings of the Combustion Institute, pp.513-519, 1998.
DOI : 10.1016/S0082-0784(98)80441-4

C. M. Vagelopoulos, F. N. Egolfopoulos, and C. K. Law, Further considerations on the determination of laminar flame speeds with the counterflow twin-flame technique, Proceedings of the Combustion Institute, pp.1341-1347, 1994.
DOI : 10.1016/S0082-0784(06)80776-9

F. N. Egolfopoulos, P. Cho, and C. K. Law, Laminar flame speeds of methane-air mixtures under reduced and elevated pressures, Combustion and Flame, vol.76, issue.3-4, pp.375-391, 1989.
DOI : 10.1016/0010-2180(89)90119-3

C. K. Law, A Compilation of Experimental Data on Laminar Burning Velocities, Lecture Notes in Physics Monographs, vol.15, issue.2, pp.15-26, 1993.
DOI : 10.1007/978-3-540-47543-9_2

E. Varea, V. Modica, B. Renou, and A. M. Boukhalfa, Pressure effects on laminar burning velocities and Markstein lengths for Isooctane???Ethanol???Air mixtures, Proceedings of the Combustion Institute, pp.735-744, 2013.
DOI : 10.1016/j.proci.2012.06.072

E. Varea, J. Beeckmann, H. Pitsch, Z. Chen, and B. Renou, Determination of burning velocities from spherically expanding h2/air flames, Proceedings of the Combustion Institute, pp.711-719, 2015.
DOI : 10.1016/j.proci.2014.05.137

C. Xiouris, T. Ye, J. Jayachandran, and F. N. Egolfopoulos, Laminar flame speeds under engine-relevant conditions: Uncertainty quantification and minimization in spherically expanding flame experiments, Combustion and Flame, vol.163, pp.31-196
DOI : 10.1016/j.combustflame.2015.10.003

URL : http://dx.doi.org/10.1016/j.combustflame.2015.10.003

B. Lewis and G. Von-elbe, On the Theory of Flame Propagation, The Journal of Chemical Physics, vol.2, issue.8, pp.537-546, 1934.
DOI : 10.1063/1.1749523

C. K. Law, Combustion at a crossroads: Status and prospects, Proceedings of the Combustion Institute, pp.1-29, 2007.
DOI : 10.1016/j.proci.2006.08.124

C. K. Wu and C. K. Law, On the determination of laminar flame speeds from stretched flames, Proceedings of the Combustion Institute, pp.1941-1949, 1985.
DOI : 10.1016/S0082-0784(85)80693-7

G. H. Markstein, Experimental and Theoretical Studies of Flame-Front Stability, Journal of the Aeronautical Sciences, vol.18, issue.3, pp.199-209, 1951.
DOI : 10.2514/8.1900

G. H. Markstein, Non-steady Flame Propagation, p.33, 1964.

F. A. Williams, A review of some theoretical combustions of turbulent flame structure, AGARD Conference Proceedings, p.33, 1975.

C. K. Law, Dynamics of stretched flames, Symposium (International) on Combustion, vol.22, issue.1, pp.1381-1402, 1989.
DOI : 10.1016/S0082-0784(89)80149-3

M. Matalon, On Flame Stretch, Combustion Science and Technology, vol.31, issue.2, pp.3-4169, 1983.
DOI : 10.1080/00102208308923638

S. Candel and T. Poinsot, Flame Stretch and the Balance Equation for the Flame Area, Combustion Science and Technology, vol.44, issue.1-3, pp.1-15, 1990.
DOI : 10.1016/0010-2180(78)90130-X

P. D. Ronney and H. Y. Wachman, Effect of gravity on laminar premixed gas combustion I: Flammability limits and burning velocities, Combustion and Flame, vol.62, issue.2, pp.107-119, 1985.
DOI : 10.1016/0010-2180(85)90139-7

G. Darrieus, Propagation d'un front de flamme. La Technique Moderne (Unpublished) en 1938, Congrès de Mécanique Appliquée en 1945, p.37

L. D. Landau, On the Theory of Slow Combustion, Acta Physicochimica URSS, vol.19, pp.77-85, 1944.
DOI : 10.1016/B978-0-08-092523-3.50044-7

A. G. Istratov and V. B. Librovitch, On the stability of gasdynamic discontinuities associated with chemical reactions. the case of spherical flame, Acta Astronautica, vol.14, pp.453-467, 1969.

J. K. Bechtold and M. Matalon, Hydrodynamic and diffusion effects on the stability of spherically expanding flames, Combustion and Flame, vol.67, issue.1, pp.77-90, 1987.
DOI : 10.1016/0010-2180(87)90015-0

J. K. Bechtold and M. Matalon, The dependence of the Markstein length on stoichiometry, Combustion and Flame, vol.127, issue.1-2, pp.1906-1913, 2001.
DOI : 10.1016/S0010-2180(01)00297-8

P. Clavin, Dynamic behavior of premixed flame fronts in laminar and turbulent flows, Progress in Energy and Combustion Science, pp.1-59, 1985.
DOI : 10.1016/0360-1285(85)90012-7

Z. Chen, Effects of radiation and compression on propagating spherical flames of methane/air mixtures near the lean flammability limit, Combustion and Flame, vol.157, issue.12, pp.2267-2276, 2010.
DOI : 10.1016/j.combustflame.2010.07.010

J. Jayachandran, R. Zhao, and F. N. Egolfopoulos, Determination of laminar flame speeds using stagnation and spherically expanding flames: Molecular transport and radiation effects, Combustion and Flame, vol.161, issue.9, pp.2305-2316, 2014.
DOI : 10.1016/j.combustflame.2014.03.009

J. Santner, F. M. Haas, Y. Ju, and F. L. Dryer, Uncertainties in interpretation of high pressure spherical flame propagation rates due to thermal radiation, Combustion and Flame, vol.161, issue.1, pp.147-153, 2014.
DOI : 10.1016/j.combustflame.2013.08.008

S. Balusamy, A. Cessou, and B. Lecordier, Direct measurement of local instantaneous laminar burning velocity by a new PIV algorithm, Experiments in Fluids, vol.106, issue.3, pp.1-13, 2010.
DOI : 10.1007/s00348-010-1027-5

URL : https://hal.archives-ouvertes.fr/hal-00638762

E. Varea, V. Modica, A. Vandel, and B. Renou, Measurement of laminar burning velocity and Markstein length relative to fresh gases using a new postprocessing procedure: Application to laminar spherical flames for methane, ethanol and isooctane/air mixtures, Combustion and Flame, vol.159, issue.2, pp.577-590, 2012.
DOI : 10.1016/j.combustflame.2011.09.002

R. D. Reitz, Directions in internal combustion engine research, Combustion and Flame, vol.160, issue.1, pp.1-8, 2013.
DOI : 10.1016/j.combustflame.2012.11.002

M. , P. Burke, M. Chaos, Y. Ju, F. L. Dryer et al., Comprehensive h2/o2 kinetic model for high-pressure combustion, International Journal of Chemical Kinetics, vol.44, issue.7, pp.444-474, 2012.
DOI : 10.1002/kin.20603

. Curran, An experimental and detailed chemical kinetic modeling study of hydrogen and syngas mixture oxidation at elevated pressures, Combustion and Flame, vol.160, issue.6, pp.995-1011, 2013.

Y. Ju, G. Masuya, and P. D. Ronney, Effects of radiative emission and absorption on the propagation and extinction of premixed gas flames, Proceedings of the Combustion Institute, pp.2619-2626, 1998.
DOI : 10.1016/S0082-0784(98)80116-1

Y. Ju, H. Guo, F. Liu, and K. Maruta, Effects of the Lewis number and radiative heat loss on the bifurcation and extinction of CH4/O2-N2-He flames, Journal of Fluid Mechanics, vol.379, pp.165-190, 1999.
DOI : 10.1017/S0022112098003231

J. Beeckmann, N. Chaumeix, P. Dagaut, G. Dayma, F. N. Egolfopoulos et al., Collaborative study for accurate measurements of laminar burning velocity, Proceedings of theEuropean Combustion Meeting, pp.44-135, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00916265

G. Joulin and B. Deshaies, On Radiation-Affected Flame Propagation in Gaseous Mixtures Seeded with ln??ert Particles, Combustion Science and Technology, vol.11, issue.5-6, pp.299-343, 1986.
DOI : 10.1146/annurev.fl.15.010183.001143

H. Guo, Y. Jub, K. Maruta, T. Niioka, and F. Liu, Numerical investigation of ch4/co2/air and ch4/co2/o2 counterflow premixed flames with radiation reabsorption, Combustion Science and Technology, vol.135, pp.1-649, 1998.

A. Soufiani and J. Taine, High temperature gas radiative property parameters of statistical narrow-band model for H2O, CO2 and CO, and correlated-K model for H2O and CO2, International Journal of Heat and Mass Transfer, vol.40, issue.4, pp.987-991, 1997.
DOI : 10.1016/0017-9310(96)00129-9

Z. Chen, X. Qin, Y. Ju, Z. Zhao, M. Chaos et al., High temperature ignition and combustion enhancement by dimethyl ether addition to methane???air mixtures, Proceedings of the Combustion Institute, pp.1215-1222, 2007.
DOI : 10.1016/j.proci.2006.07.177

H. Yu, W. Han, J. Santner, X. Gou, C. H. Sohn et al., Radiation-induced uncertainty in laminar flame speed measured from propagating spherical flames, Combustion and Flame, vol.161, issue.11, pp.1612815-2824, 2014.
DOI : 10.1016/j.combustflame.2014.05.012

A. Bonhomme, L. Selle, and T. Poinsot, Curvature and confinement effects for flame speed measurements in laminar spherical and cylindrical flames, Combustion and Flame, vol.160, issue.7, pp.1208-1214, 2013.
DOI : 10.1016/j.combustflame.2013.02.003

URL : http://oatao.univ-toulouse.fr/9035/

P. Clavin and F. A. Williams, Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity, Journal of Fluid Mechanics, vol.1, issue.-1, pp.251-282, 1982.
DOI : 10.1016/0094-5765(79)90086-9

P. Clavin and G. Joulin, Premixed flames in large scale and high intensity turbulent flow, Journal de Physique Lettres, vol.44, issue.1, pp.1-12, 1983.
DOI : 10.1051/jphyslet:019830044010100

URL : https://hal.archives-ouvertes.fr/jpa-00232137

M. Matkowsky and B. J. Matalon, Flames as gas dynamic discontinuities, Journal of Fluid Mechanics, vol.124, issue.52, pp.239-259, 1982.

A. P. Kelley and C. K. Law, Nonlinear effects in the experimental determination of laminar flame properties from stretched flames, Eastern State Fall Technical Meeting , Chemical & Physical Processes in Combustion, University of Virginia (US), pp.50-52, 2007.

A. P. Kelley and C. K. Law, Nonlinear effects in the extraction of laminar flame speeds from expanding spherical flames, Combustion and Flame, vol.156, issue.9, pp.1844-1851, 2009.
DOI : 10.1016/j.combustflame.2009.04.004

F. Halter, T. Tahtouh, and C. Mounaim-rousselle, Nonlinear effects of stretch on the flame front propagation, Combustion and Flame, vol.157, issue.10, pp.1825-1832, 2010.
DOI : 10.1016/j.combustflame.2010.05.013

URL : https://hal.archives-ouvertes.fr/hal-01276405

Z. Chen, On the extraction of laminar flame speed and Markstein length from outwardly propagating spherical flames, Combustion and Flame, vol.158, issue.2, pp.291-300, 2011.
DOI : 10.1016/j.combustflame.2010.09.001

P. D. Ronney and G. I. Sivashinsky, A Theoretical Study of Propagation and Extinction of Nonsteady Spherical Flame Fronts, SIAM Journal on Applied Mathematics, vol.49, issue.4, pp.1029-1046, 1989.
DOI : 10.1137/0149062

J. K. Bechtold, C. Cui, and M. Matalon, The role of radiative losses in self-extinguishing and self-wrinkling flames, Proceedings of the Combustion Institute, pp.177-184, 2005.
DOI : 10.1016/j.proci.2004.07.031

M. Matalon, C. Cui, and J. K. Bechtold, Hydrodynamic theory of premixed flames: effects of stoichiometry, variable transport coefficients and arbitrary reaction orders, Journal of Fluid Mechanics, vol.487, pp.179-210, 2003.
DOI : 10.1017/S0022112003004683

G. Searby and J. Quinard, Direct and indirect measurements of Markstein numbers of premixed flames, Combustion and Flame, vol.82, issue.3-4, pp.298-311, 1990.
DOI : 10.1016/0010-2180(90)90004-B

B. Deshaies and P. Cambray, The velocity of a premixed flame as a function of the flame stretch: An experimental study, Combustion and Flame, vol.82, issue.3-4, pp.361-375, 1990.
DOI : 10.1016/0010-2180(90)90008-F

C. K. Law and C. J. Sung, Structure, aerodynamics, and geometry of premixed flamelets, Progress in Energy and Combustion Science, vol.26, issue.4-6, pp.459-505, 2000.
DOI : 10.1016/S0360-1285(00)00018-6

S. G. Davis, J. Quinard, and G. Searby, Determination of Markstein numbers in counterflow premixed flames, Combustion and Flame, vol.130, issue.1-2, pp.112-122, 2002.
DOI : 10.1016/S0010-2180(02)00369-3

URL : https://hal.archives-ouvertes.fr/hal-00083264

C. K. Law, C. J. Sung, G. Yu, and R. L. Axelbaum, On the structural sensitivity of purely strained planar premixed flames to strain rate variations, Combustion and Flame, vol.98, issue.1-2, pp.139-154, 1994.
DOI : 10.1016/0010-2180(94)90204-6

C. J. Sung, J. B. Liu, and C. K. Law, On the scalar structure of nonequidiffusive premixed flames in counterflow, Combustion and Flame, vol.106, issue.1-2, pp.168-183, 1996.
DOI : 10.1016/0010-2180(95)00249-9

G. R. Groot and L. P. De-goey, A computational study on propagating spherical and cylindrical premixed flames, Proceedings of the Combustion Institute, pp.1445-1451, 2002.
DOI : 10.1016/S1540-7489(02)80177-8

URL : http://repository.tue.nl/646288

F. Wu, W. Liang, Z. Chen, Y. Ju, and C. K. Law, Uncertainty in stretch extrapolation of laminar flame speed from expanding spherical flames, Proceedings of the Combustion Institute, pp.663-670, 2015.
DOI : 10.1016/j.proci.2014.05.065

Z. Chen and Y. Ju, Theoretical analysis of the evolution from ignition kernel to flame ball and planar flame. Combustion Theory and Modelling, pp.427-435, 2007.

Z. Chen, M. , P. Burke, and Y. Ju, Effects of Lewis number and ignition energy on the determination of laminar flame speed using propagating spherical flames, Proceedings of the Combustion Institute, pp.1253-1260, 2009.
DOI : 10.1016/j.proci.2008.05.060

H. Zhang, P. Guo, and Z. Chen, Critical condition for the ignition of reactant mixture by radical deposition, Proceedings of the Combustion Institute, pp.3267-3275, 2013.
DOI : 10.1016/j.proci.2012.06.035

W. Zhang, Z. Chen, and W. Kong, Effects of diluents on the ignition of premixed H2/air mixtures, Combustion and Flame, vol.159, issue.1, pp.151-160, 2012.
DOI : 10.1016/j.combustflame.2011.05.017

A. P. Kelley, G. Jomaas, and C. K. Law, Critical radius for sustained propagation of spark-ignited spherical flames, Combustion and Flame, vol.156, issue.5, pp.1006-1013, 2009.
DOI : 10.1016/j.combustflame.2008.12.005

H. H. Kim, S. H. Won, J. Santner, Z. Chen, and Y. Ju, Measurements of the critical initiation radius and unsteady propagation of n-decane/air premixed flames, Proceedings of the Combustion Institute, pp.929-936, 2013.
DOI : 10.1016/j.proci.2012.07.035

D. Bradley and F. K. Lung, Spark ignition and the early stages of turbulent flame propagation, Combustion and Flame, vol.69, issue.1, pp.71-93, 1987.
DOI : 10.1016/0010-2180(87)90022-8

K. Maruta, Micro and mesoscale combustion, Proceedings of the Combustion Institute, pp.125-150, 2011.
DOI : 10.1016/j.proci.2010.09.005

Z. Chen and Y. Ju, Effects of compression and stretch on the determination of laminar flame speeds using propagating spherical flames. Combustion Theory and Modelling, pp.343-343, 2009.

M. , P. Burke, Z. Chen, Y. Ju, and F. L. Dryer, Effect of cylindrical confinement on the determination of laminar flame speeds using outwardly propagating flames, Combustion and Flame, vol.156, issue.4, pp.771-779, 2009.

Z. Chen, M. P. Burke, and Y. Ju, Effects of compression and stretch on the determination of laminar flame speeds using propagating spherical flames. Combustion Theory and Modelling, pp.343-364, 2009.

M. F. Modest and H. Zhang, The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures, Journal of Heat Transfer, vol.124, issue.1, pp.30-38, 2001.
DOI : 10.1115/1.1418697

W. Malkmus, Random Lorentz Band Model with Exponential-Tailed S^???1 Line-Intensity Distribution Function*, Journal of the Optical Society of America, vol.57, issue.3, pp.323-329, 1967.
DOI : 10.1364/JOSA.57.000323

A. A. Lacis and V. Oinas, A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres, Journal of Geophysical Research : Atmospheres, issue.D5, pp.969027-9063, 1991.

H. C. Hottel and A. F. Sarofim, Radiative Transfer, p.78, 1967.

D. K. Edwards and A. Balakrishnan, Nongray radiative transfer in a turbulent gas layer, International Journal of Heat and Mass Transfer, vol.16, issue.5, pp.1003-1015, 1973.
DOI : 10.1016/0017-9310(73)90039-2

V. P. Solovjov and B. W. Webb, SLW modeling of radiative transfer in multicomponent gas mixtures, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.65, issue.4, pp.655-672, 2000.
DOI : 10.1016/S0022-4073(99)00133-8

F. N. Egolfopoulos, Geometric and radiation effects on steady and unsteady strained laminar flames, Symposium (International) on Combustion, pp.1375-1381, 1994.
DOI : 10.1016/S0082-0784(06)80780-0

L. R. Petzold, A Description of DASSL : A Differential/Algebraic System Solver. Scientific Computing, p.80, 1983.

M. Berzins, P. J. Capon, and P. K. Jimack, On spatial adaptivity and interpolation when using the method of lines, Applied Numerical Mathematics, vol.26, issue.1-2, pp.117-133, 1998.
DOI : 10.1016/S0168-9274(97)00091-3

J. M. Hyman, S. Li, and L. R. Petzold, An adaptive moving mesh method with static rezoning for partial differential equations, Computers & Mathematics with Applications, vol.46, issue.10-11, pp.10-111511, 2003.
DOI : 10.1016/S0898-1221(03)90187-8

URL : http://doi.org/10.1016/s0898-1221(03)90187-8

I. Usc-mech-version, High-Temperature Combustion Reaction Model of H2, SC M ech I I.htm, p.80, 2007.

C. K. Kelley, W. Lawand, N. P. Tsang, D. L. Ernansky, A. Miller et al., A high-temperature chemical kinetic model of n-alkane oxidation, jetsurf version 1

T. Lu and C. K. Law, A directed relation graph method for mechanism reduction, Proceedings of the Combustion Institute, pp.1333-1341, 2005.
DOI : 10.1016/j.proci.2004.08.145

Z. Chen, Studies on the Initiation, Propagation, and Extinction of Premixed Flames, pp.81-82, 2009.

G. Strang, On the Construction and Comparison of Difference Schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968.
DOI : 10.1137/0705041

E. F. Toro, Riemann solvers and numerical methods for fluid dynamics, p.81, 1999.
DOI : 10.1007/b79761

S. Gottlieb and C. Shu, Total variation diminishing Runge-Kutta schemes, Mathematics of Computation of the American Mathematical Society, vol.67, issue.221, pp.73-85, 1998.
DOI : 10.1090/S0025-5718-98-00913-2

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.4521

B. Van-leer, On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist???Osher and Roe, SIAM Journal on Scientific and Statistical Computing, vol.5, issue.1, pp.1-20, 1984.
DOI : 10.1137/0905001

P. N. Brown, G. D. Byrne, and A. C. Hindmarsh, VODE: A Variable-Coefficient ODE Solver, SIAM Journal on Scientific and Statistical Computing, vol.10, issue.5
DOI : 10.1137/0910062

R. J. Kee, F. M. Rupley, and J. A. Miller, Chemkin-ii : A fortran package for the analysis of gas-phase chemical kinetics, p.81, 1989.

C. J. Sun and C. K. Law, On the consumption of fuel pockets via inwardly propagating flames, Proceedings of the Combustion Institute, Twenty-Seventh Symposium (International ) on Combustion, pp.963-970
DOI : 10.1016/S0082-0784(98)80495-5

M. Sun and K. Takayama, Conservative Smoothing on an Adaptive Quadrilateral Grid, Journal of Computational Physics, vol.150, issue.1, pp.143-180, 1999.
DOI : 10.1006/jcph.1998.6167

Y. Ju, J. Yuan, H. Kobayashi, and G. Masuya, On the Non-Reflective Boundary Conditions for Chemically Reactive Flows. Fluid Dynamics and Co-located Conferences, pp.10-2514, 2003.

Z. Chen and Y. Ju, Combined effects of curvature, radiation, and stretch on the extinction of premixed tubular flames, International Journal of Heat and Mass Transfer, vol.51, pp.25-266118, 2008.

L. Quartapelle and V. Selmin, High order taylor-galerkin methods for non-linear multidimensional problems, p.83, 1993.

R. Nicolaides, Deflation of Conjugate Gradients with Applications to Boundary Value Problems, SIAM Journal on Numerical Analysis, vol.24, issue.2, pp.355-365, 1987.
DOI : 10.1137/0724027

M. Malandain, N. Maheu, and V. Moureau, Optimization of the deflated Conjugate Gradient algorithm for the solving of elliptic equations on massively parallel machines, Journal of Computational Physics, vol.238, issue.0, pp.32-47, 2013.
DOI : 10.1016/j.jcp.2012.11.046

R. Yu, J. Yu, and X. Bai, An improved high-order scheme for DNS of low Mach number turbulent reacting flows based on stiff chemistry solver, Journal of Computational Physics, vol.231, issue.16, pp.2315504-5521, 2012.
DOI : 10.1016/j.jcp.2012.05.006

A. C. Hindmarsh and S. D. Cohen, Cvode, a stiff/nonstiff ode solver in c, p.84

J. O. Hirschfelder, C. F. Curtis, and R. B. Bird, Molecular theory of gases and liquids. and Sons, p.84, 1969.

G. Lacaze, Simulations aux Grandes Echelles de l'allumage de moteur fusées cryotechniques, p.84, 2009.

S. Jerzembeck, N. Peters, P. Pepiotdesjardins, and H. Pitsch, Laminar burning velocities at high pressure for primary reference fuels and gasoline: Experimental and numerical investigation, Combustion and Flame, vol.156, issue.2, pp.292-301, 2009.
DOI : 10.1016/j.combustflame.2008.11.009

K. A. Jensen, J. Ripoll, A. A. Wray, D. Joseph, and M. Hafi, On various modeling approaches to radiative heat transfer in pool fires, Combustion and Flame, vol.148, issue.4, pp.263-279, 2007.
DOI : 10.1016/j.combustflame.2006.09.008

J. Beeckmann, Optimization, understanding, and accuracy of the spherical vessel systems across europe, 3rd Heat Flux Burner Workshop, p.135, 2014.

K. J. Bosschaart and L. P. De-goey, The laminar burning velocity of flames propagating in mixtures of hydrocarbons and air measured with the heat flux method, Combustion and Flame, vol.136, issue.3, pp.261-269, 2004.
DOI : 10.1016/j.combustflame.2003.10.005

A. Trouvé and T. Poinsot, The evolution equation for the flame surface density in turbulent premixed combustion, Journal of Fluid Mechanics, vol.84, issue.-1, pp.1-31, 1994.
DOI : 10.1103/PhysRevA.37.2728

H. Kolera-gokula and T. Echekki, Direct numerical simulation of premixed flame kernel???vortex interactions in hydrogen???air mixtures, Combustion and Flame, vol.146, issue.1-2, pp.155-167, 2006.
DOI : 10.1016/j.combustflame.2006.04.002

J. B. Bell, R. K. Cheng, M. S. Day, and I. G. Shepherd, Numerical simulation of Lewis number effects on lean premixed turbulent flames, Proceedings of the Combustion Institute, pp.1309-1317, 2007.
DOI : 10.1016/j.proci.2006.07.216

D. Veynante and L. Vervisch, Turbulent combustion modeling, Progress in Energy and Combustion Science, pp.193-266, 2002.
DOI : 10.1016/S0360-1285(01)00017-X

URL : https://hal.archives-ouvertes.fr/hal-01219272

K. N. Bray, Studies of the Turbulent Burning Velocity, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.431, issue.1882, pp.315-335, 1990.
DOI : 10.1098/rspa.1990.0133

J. Tien and M. Matalon, On the burning velocity of stretched flames, Combustion and Flame, vol.84, issue.3-4, pp.238-248, 1991.
DOI : 10.1016/0010-2180(91)90003-T

B. Fiorina, R. Vicquelin, P. Auzillon, N. Darabiha, O. Gicquel et al., A filtered tabulated chemistry model for LES of premixed combustion, Combustion and Flame, vol.157, issue.3, pp.465-475, 2010.
DOI : 10.1016/j.combustflame.2009.09.015

URL : https://hal.archives-ouvertes.fr/hal-00472611

V. Subramanian, P. Domingo, and L. Vervisch, Large eddy simulation of forced ignition of an annular bluff-body burner, Combustion and Flame, vol.157, issue.3, pp.579-601, 2010.
DOI : 10.1016/j.combustflame.2009.09.014

P. Quillatre, O. Vermorel, T. Poinsot, and P. Ricoux, Large Eddy Simulation of Vented Deflagration, Industrial & Engineering Chemistry Research, vol.52, issue.33, pp.11414-11423, 2013.
DOI : 10.1021/ie303452p

URL : https://hal.archives-ouvertes.fr/hal-00949063

A. R. Kerstein, W. T. Ashurst, and F. A. Williams, Field equation for interface propagation in an unsteady homogeneous flow field, Physical Review A, vol.37, issue.7, pp.2728-2731, 1988.
DOI : 10.1103/PhysRevA.37.2728

H. G. Im, T. S. Lund, and J. H. Ferziger, Large eddy simulation of turbulent front propagation with dynamic subgrid models, Physics of Fluids, vol.9, issue.12, p.156, 1994.
DOI : 10.1063/1.869517

J. W. Linnett, The determination of fundamental speeds and the mechanism of flame propagation, p.172, 1954.

Z. Chen, X. Qin, O. Xu, Y. Ju, and F. Liu, Studies of radiation absorption on flame speed and flammability limit of CO2 diluted methane flames at elevated pressures, Proceedings of the Combustion Institute, pp.2693-2700, 0197.
DOI : 10.1016/j.proci.2006.07.202

Y. Xin, C. J. Sung, and C. K. Law, A mechanistic evaluation of Soret diffusion in heptane/air flames, Combustion and Flame, vol.159, issue.7, pp.2345-2351, 2012.
DOI : 10.1016/j.combustflame.2012.03.005

F. Yang, H. Q. Zhang, and X. L. Wang, Effects of soret diffusion on the laminar flame speed of n-butane-air mixtures, Proceedings of the Combustion Institute, pp.947-953, 2011.
DOI : 10.1016/j.proci.2010.05.018

C. K. Law, P. Cho, M. Mizomoto, and H. Yoshida, Flame curvature and preferential diffusion in the burning intensity of bunsen flames, Proceedings of the Combustion Institute, pp.1803-1809, 1988.
DOI : 10.1016/S0082-0784(88)80414-4

B. A. Williams, Sensitivity of calculated extinction strain rate to molecular transport formulation in nonpremixed counterflow flames, Combustion and Flame, vol.124, issue.1-2, pp.330-333, 2001.
DOI : 10.1016/S0010-2180(00)00197-8

F. Yang, C. K. Law, C. J. Sung, and H. Q. Zhang, A mechanistic study of Soret diffusion in hydrogen???air flames, Combustion and Flame, vol.157, issue.1, pp.192-200, 2010.
DOI : 10.1016/j.combustflame.2009.09.018

M. Kuznetsov, S. Kobelt, J. Grune, and T. Jordan, Flammability limits and laminar flame speed of hydrogen???air mixtures at sub-atmospheric pressures, International Journal of Hydrogen Energy, vol.37, issue.22, pp.17580-17588, 2012.
DOI : 10.1016/j.ijhydene.2012.05.049

J. Jayachandran, A. Lefebvre, R. Zhao, F. Halter, E. Varea et al., A study of propagation of spherically expanding and counterflow laminar flames using direct measurements and numerical simulations, Proceedings of the Combustion Institute, pp.695-702, 2015.
DOI : 10.1016/j.proci.2014.05.031

C. K. Law, Combustion Physics, p.228, 2010.
DOI : 10.1017/CBO9780511754517

G. Ribert, O. Gicquel, N. Darabiha, and D. Veynant, Tabulation of complex chemistry based on self-similar behavior of laminar premixed flames, Combustion and Flame, vol.146, issue.4, pp.649-664, 2006.
DOI : 10.1016/j.combustflame.2006.07.002

URL : https://hal.archives-ouvertes.fr/hal-00114951