A. P. Dowling, The challenges of lean premixed combustion, Proc. International Gas Turbine Congress, 2003.

T. Lieuwen and V. Yang, Combustion instabilities in gas turbine engines. operational experience, fundamental mechanisms and modeling, Prog. in Astronautics and Aeronautics AIAA, 2005.

L. Rayleigh, The explanation of certain acoustic phenomena, Nature, pp.319-321, 1878.

W. Meier, P. Weigand, X. R. Duan, and R. Giezendanner-thoben, Detailed characterization of the dynamics of thermoacoustic pulsations in a lean premixed swirl flame, Combustion and Flame, vol.150, issue.1-2, pp.2-26, 2007.
DOI : 10.1016/j.combustflame.2007.04.002

J. D. Buckmaster, Edge-flames, Progress in Energy and Combustion Science, vol.28, issue.5, pp.435-475, 2002.
DOI : 10.1016/S0360-1285(02)00008-4

S. Ghosal and L. Vervisch, Theoretical and numerical study of a symmetrical triple flame using the parabolic flame path approximation, Journal of Fluid Mechanics, vol.415, pp.227-260, 2000.
DOI : 10.1017/S0022112000008685

C. Jimenez and B. Cuenot, DNS study of stabilisation of turbulent triple flames by hot gases, Proc. of the Combustion Institute, pp.1649-1656, 2007.

S. Roux, G. Lartigue, T. Poinsot, U. Meier, and C. Bérat, Studies of mean and unsteady flow in a swirled combustor using experiments, acoustic analysis, and large eddy simulations, Combustion and Flame, vol.141, issue.1-2, pp.40-54, 2005.
DOI : 10.1016/j.combustflame.2004.12.007

F. Di-mare, W. Jones, and K. Menzies, Large eddy simulation of a model gas turbine combustor, Combustion and Flame, vol.137, issue.3, pp.278-294, 2004.
DOI : 10.1016/j.combustflame.2004.01.008

P. Schmitt, T. Poinsot, B. Schuermans, and K. P. Geigle, Large-eddy simulation and experimental study of heat transfer, nitric oxide emissions and combustion instability in a swirled turbulent high-pressure burner, Journal of Fluid Mechanics, vol.570, pp.17-46, 2007.
DOI : 10.1017/S0022112006003156

V. Moureau, P. Domingo, and L. Vervisch, From Large-Eddy Simulation to Direct Numerical Simulation of a lean premixed swirl flame: Filtered laminar flame-PDF modeling, Combustion and Flame, vol.158, issue.7, 2011.
DOI : 10.1016/j.combustflame.2010.12.004

P. D. Lax and B. Wendroff, Systems of conservation laws, Communications on Pure and Applied Mathematics, vol.47, issue.2, pp.217-237, 1960.
DOI : 10.1002/cpa.3160130205

J. Smagorinsky, GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS, Monthly Weather Review, vol.91, issue.3, pp.99-164, 1963.
DOI : 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2

F. Charlette, D. Veynante, and C. Meneveau, A power-law flame wrinkling model for LES of premixed turbulent combustion Part I: non-dynamic formulation and initial tests, Combustion and Flame, vol.131, issue.1-2, pp.159-180, 2002.
DOI : 10.1016/S0010-2180(02)00400-5

B. Franzelli, E. Riber, L. Gicquel, and T. Poinsot, Large-eddy simulation of combustion instabilities in a lean partially premixed swirled flame. Accepted for publication with minor revisions in Combustion and Flame, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00811961

T. Poinsot and S. Lele, Boundary conditions for direct simulations of compressible viscous flows, Journal of Computational Physics, vol.101, issue.1, pp.104-129, 1992.
DOI : 10.1016/0021-9991(92)90046-2

L. Benoit and F. Nicoud, Numerical assessment of thermo-acoustic instabilities in gas turbines, International Journal for Numerical Methods in Fluids, vol.22, issue.8-9, pp.8-9849, 2005.
DOI : 10.1002/fld.886

URL : https://hal.archives-ouvertes.fr/hal-00910150

F. Nicoud and K. Wieczorek, About the zero Mach number assumption in the calculation of thermoacoustic instabilities, International Journal of Spray and Combustion Dynamics, vol.142, issue.7, pp.67-112, 2009.
DOI : 10.1260/175682709788083335

URL : https://hal.archives-ouvertes.fr/hal-00803826

Y. Huang and V. Yang, Bifurcation of flame structure in a lean-premixed swirl-stabilized combustor: transition from stable to unstable flame, Combustion and Flame, vol.136, issue.3, pp.383-389, 2004.
DOI : 10.1016/j.combustflame.2003.10.006

L. Rayleigh, On the theory of resonance, Phil. Trans. R. Soc. Lond, vol.161, pp.77-118, 1870.

D. Durox, T. Schuller, N. Noiray, A. L. Birbaud, and S. Candel, Rayleigh criterion and acoustic energy balance in unconfined self-sustained oscillating flames, Combustion and Flame, vol.156, issue.1, pp.416-429, 2008.
DOI : 10.1016/j.combustflame.2008.07.016

F. Nicoud and T. Poinsot, Thermoacoustic instabilities: Should the Rayleigh criterion be extended to include entropy changes?, Combustion and Flame, vol.142, issue.1-2, pp.153-159, 2005.
DOI : 10.1016/j.combustflame.2005.02.013

URL : https://hal.archives-ouvertes.fr/hal-00908285