S. B. Pope, Small scales, many species and the manifold challenges of turbulent combustion, Proc. Combust. Inst, vol.34, pp.1-31, 2013.

B. Fiorina, D. Veynante, and S. Candel, Modeling combustion chemistry in large eddy simulation of turbulent flames, Flow Turbul. Combust, vol.94, pp.3-42, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01219272

T. Jaravel, E. Riber, B. Cuenot, and G. Bulat, Large eddy simulation of an industrial gas turbine combustor using reduced chemistry with accurate pollutant prediction, Proc. Combust. Inst, vol.36, pp.3817-3825, 2017.

B. Franzelli, E. Riber, and B. Cuenot, Impact of the chemical description on a large eddy simulation of a lean partially premixed swirled flame, C. R. Mécanique, vol.341, pp.247-256, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01272944

J. You, Y. Yang, and S. B. Pope, Effects of molecular transport in LES/PDF of piloted turbulent dimethyl ether/air jet flames, Combust. Flame, vol.176, pp.451-461, 2017.

D. C. Haworth, Progress in probability density function methods for turbulent reacting flows, vol.36, pp.168-259, 2010.

F. Gao and E. O'brien, A large-eddy simulation scheme for turbulent reacting flows, Phys. Fluids A: Fluid Dynamics, vol.5, pp.1282-1284, 1993.

Y. Yang, H. Wang, S. B. Pope, and J. H. Chen, Large-eddy simulation/probability density function modeling of a non-premixed CO/H 2 temporally evolving jet flame, Proc. Combust. Inst, vol.34, pp.1241-1249, 2013.

T. D. Butler and P. J. O'rourke, A numerical method for two dimensional unsteady reacting flows, Symp. (Int.) Combust, vol.16, pp.1503-1515, 1977.

P. J. O'rourke and F. V. Bracco, Two scaling transformations for the numerical computation of multidimensional unsteady laminar flames, J. Comput. Phys, vol.33, pp.185-203, 1979.

P. Auzillon, B. Fiorina, R. Vicquelin, N. Darabiha, O. Gicquel et al., Modeling chemical flame structure and combustion dynamics in LES, Proc. Combust. Inst, vol.33, pp.1331-1338, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00491238

S. Stolz and N. A. Adams, An approximate deconvolution procedure for large-eddy simulation, Phys. Fluids, vol.11, pp.1699-1701, 1999.

S. Stolz, N. A. Adams, and L. Kleiser, The approximate deconvolution model for large-eddy simulation of compressible flows and its application to shock-turbulent-boundary-layer interaction, Phys. Fluids, vol.13, pp.2985-3001, 2001.

S. Stolz, N. A. Adams, and L. Kleiser, An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows, Phys. Fluids, vol.13, pp.997-1015, 2001.

W. Layton and L. G. Rebholz, Approximate Deconvolution Models of Turbulence, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00003252

J. Mathew, Large eddy simulation of a premixed flame with approximate deconvolution modeling, Proc. Combust. Inst, vol.29, pp.1995-2000, 2002.

A. W. Vreman, R. J. Bastiaans, and B. J. Geurts, A similarity subgrid model for premixed turbulent combustion, Flow Turbul. Combust, vol.82, pp.233-248, 2009.

J. P. Mellado, S. Sarkar, and C. Pantano, Reconstruction subgrid models for nonpremixed combustion, Phys. Fluids, vol.15, pp.3280-3307, 2003.

C. Pantano and S. Sarkar, A subgrid model for nonlinear functions of a scalar, Phys. Fluids, vol.13, pp.3803-3819, 2001.

P. Domingo and L. Vervisch, Large eddy simulation of premixed turbulent combustion using approximate deconvolution and explicit flame filtering, Proc. Combust. Inst, vol.35, pp.1349-1357, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01612346

Q. Wang and M. Ihme, Regularized deconvolution method for turbulent combustion modeling, Combust. Flame, vol.176, pp.125-142, 2017.

B. Fiorina, R. Vicquelin, P. Auzillon, N. Darabiha, O. Gicquel et al., A filtered tabulated chemistry model for LES of premixed combustion, Combust. Flame, vol.157, pp.465-475, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00472611

J. Bibrzycki and T. Poinsot, Reduced chemical kinetic mechanisms for methane combustion in O 2 /N 2 and O 2 /CO 2 atmosphere, CERFACS, 2010.

C. Duwig, K. Nogenmyr, C. Chan, and M. J. Dunn, Large eddy simulations of a piloted lean premix jet flame using finite-rate chemistry, Combust. Theory Model, vol.15, pp.537-568, 2011.

C. Duwig and L. Fuchs, Lifted flame in a vitiated co-flow, Combust. Sci. Technol, vol.180, pp.453-480, 2008.

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

Q. Wang, H. Wu, and M. Ihme, Regularized deconvolution method for turbulent combustion modeling, pp.65-75, 2015.

J. A. Domaradzki and K. C. Loh, The subgrid-scale estimation model in the physical space representation, Phys. Fluids, vol.11, pp.2330-2342, 1999.

J. A. Domaradzki, K. C. Loh, and P. P. Yee, Large eddy simulations using the subgrid-scale estimation model and truncated Navier-Stokes dynamics, Theor. Comput. Fluid Dynam, vol.15, pp.421-450, 2002.

A. N. Tikhonov, Solution of incorrectly formulated problems and the regularization method, Soviet Math. Dokl, vol.4, pp.1035-1038, 1963.

A. N. Tikhonov and V. Y. Arsenin, Solutions of ill-posed problems, Math. Comput, vol.32, pp.1320-1322, 1978.

J. W. Labahn, C. B. Devaud, T. A. Sipkens, and K. J. Daun, Inverse analysis and regularisation in conditional source-term estimation modelling, Combust. Theory Model, vol.18, pp.474-499, 2014.

R. H. Byrd, P. Lu, J. Nocedal, and C. Zhu, A limited memory algorithm for bound constrained optimization, SIAM J. Sci. Comput, vol.16, pp.1190-1208, 1995.

C. Zhu, R. H. Byrd, P. Lu, and J. Nocedal, Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization, ACM Trans. Math. Softw, vol.23, pp.550-560, 1997.

G. Kuenne, A. Avdi?, and J. Janicka, Assessment of subgrid interpolation for the source term evaluation within premixed combustion simulations, Combust. Flame, vol.178, pp.225-256, 2017.

G. Ribert, O. Gicquel, N. Darabiha, and D. Veynante, Tabulation of complex chemistry based on self-similar behavior of laminar premixed flames, Combust. Flame, vol.146, pp.649-664, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00114951

D. Veynante, B. Fiorina, P. Domingo, and L. Vervisch, Using self-similar properties of turbulent premixed flames to downsize chemical tables in high-performance numerical simulations, Combust. Theory Model, vol.12, pp.1055-1088, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00430352

B. Fiorina, O. Gicquel, and D. Veynante, Turbulent flame simulation taking advantage of tabulated chemistry self-similar properties, Proc. Combust. Inst, vol.32, pp.1687-1694, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00433750

J. Nocedal and S. J. Wright, Numerical Optimization, Springer Series in Operations Research, 1999.

J. Kaipio and E. Somersalo, Statistical and Computational Inverse Problems, 2005.