T. Lieuwen and V. Yang, Combustion Instabilities in Gas Turbine Engines. Operational Experience, Fundamental Mechanisms and Modeling, Progress in Astronautics and Aeronautics, 2005.

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

K. Manesh, G. Constantinescu, S. Apte, G. Iaccarino, F. Ham et al., Large eddy simulation of reacting turbulent flows in complex geometries, ASME J. Appl. Mech, vol.73, issue.3, pp.374-381, 2006.

P. Schmitt, T. Poinsot, B. Schuermans, and K. 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

P. Moin and S. Apte, Large-eddy simulation of realistic gas turbine combustors, J. Fluid Mech, vol.44, issue.4, pp.698-708, 2006.

L. Selle, G. Lartigue, T. Poinsot, R. Koch, K. Schildmacher et al., Compressible large eddy simulation of turbulent combustion in complex geometry on unstructured meshes, Combustion and Flame, vol.137, issue.4, pp.489-505, 2004.
DOI : 10.1016/j.combustflame.2004.03.008

URL : https://hal.archives-ouvertes.fr/hal-00271666

G. Staffelbach, L. Gicquel, G. Boudier, and T. Poinsot, Large Eddy Simulation of self excited azimuthal modes in annular combustors, Proceedings of the Combustion Institute, pp.2909-2916, 2009.
DOI : 10.1016/j.proci.2008.05.033

P. Wolf, G. Staffelbach, A. Roux, L. Gicquel, T. Poinsot et al., Massively parallel LES of azimuthal thermo-acoustic instabilities in annular gas turbines, Comptes Rendus M??canique, vol.337, issue.6-7, pp.385-394, 2009.
DOI : 10.1016/j.crme.2009.06.003

A. Giauque, L. Selle, T. Poinsot, H. Buechner, P. Kaufman et al., System identification of a large-scale swirled partially premixed combustor using LES and measurements, Journal of Turbulence, vol.27, issue.21, pp.1-20, 2005.
DOI : 10.1080/14685240512331391985

N. Noiray, D. Durox, T. Schuller, and S. Candel, A unified framework for nonlinear combustion instability analysis based on the flame describing function, Journal of Fluid Mechanics, vol.21, pp.139-167, 2008.
DOI : 10.1016/j.proci.2006.07.096

L. Selle, L. Benoit, T. Poinsot, F. Nicoud, and W. Krebs, Joint use of compressible large-eddy simulation and Helmholtz solvers for the analysis of rotating modes in an industrial swirled burner, Combustion and Flame, vol.145, issue.1-2, pp.194-205, 2006.
DOI : 10.1016/j.combustflame.2005.10.017

URL : https://hal.archives-ouvertes.fr/hal-00908256

C. Martin, L. Benoit, Y. Sommerer, F. Nicoud, and T. Poinsot, Large-Eddy Simulation and Acoustic Analysis of a Swirled Staged Turbulent Combustor, AIAA Journal, vol.44, issue.4, 2006.
DOI : 10.2514/1.14689

URL : https://hal.archives-ouvertes.fr/hal-00933165

G. Boudier, N. Lamarque, C. Sensiau, G. Staffelbach, T. Poinsot et al., Investigating the thermoacoustic instability of a real gas turbine combustion chamber using Large Eddy Simulation, 11th CEAS-ASC Workshop and 2nd Scientific Workshop of X3 Noise, 2007.

C. Sensiau, F. Nicoud, and T. Poinsot, Thermoacoustic analysis of an helicopter combustion chamber, 14th AIAA/CEAS Aeroacoustics Conference, pp.5-7, 2008.

C. Sensiau, F. Nicoud, and T. Poinsot, A Tool to Study Azimuthal Standing and Spinning Modes in Annular Combustors, International Journal of Aeroacoustics, vol.142, issue.4, pp.57-68, 2009.
DOI : 10.1260/147547209786235037

URL : https://hal.archives-ouvertes.fr/hal-00803828

A. H. Lefebvre, Gas Turbines Combustion, 1999.

Y. Auregan and M. Pachebat, Measurement of the nonlinear behavior of acoustical rigid porous materials, Physics of Fluids, vol.11, issue.6, pp.1342-1345, 1999.
DOI : 10.1063/1.869999

A. Cummings and W. Eversman, High amplitude acoustic transmission through duct terminations: Theory, Journal of Sound and Vibration, vol.91, issue.4, pp.503-518, 1983.
DOI : 10.1016/0022-460X(83)90829-5

A. Cummings, Acoustic nonlinearities and power losses at orifices, AIAA Journal, vol.22, issue.6, pp.786-792, 1984.
DOI : 10.2514/3.8680

U. Ingard and H. Ising, Acoustic Nonlineartry of an Orifice, The Journal of the Acoustical Society of America, vol.41, issue.6, pp.1582-1583, 1967.
DOI : 10.1121/1.2143575

T. Melling, The acoustic impendance of perforates at medium and high sound pressure levels, Journal of Sound and Vibration, vol.29, issue.1, pp.1-65, 1973.
DOI : 10.1016/S0022-460X(73)80125-7

D. W. Bechert, Sound absorption caused by vorticity shedding, demonstrated with a jet flow, Journal of Sound and Vibration, vol.70, issue.3, pp.389-405, 1980.
DOI : 10.1016/0022-460X(80)90307-7

. Howe, On the Theory of Unsteady High Reynolds Number Flow Through a Circular Aperture, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.366, issue.1725
DOI : 10.1098/rspa.1979.0048

I. Hughes and A. Dowling, The absorption of sound by perforated linings, Journal of Fluid Mechanics, vol.22, issue.-1, pp.299-335, 1990.
DOI : 10.1017/S0022112088002216

P. Dean, On the "in-situ" control of acoustic liner attenuation American Society of Mechanical Engineers, Gas Turbine Conference and Products Show, p.8, 1976.

H. Yang, M. Bao, L. Pakula, F. , and P. , Damping caused by the gas flow in the holes of perforated structures, Proceedings of the SPIE-The International Society for Optical Engineering, pp.307-313, 2001.

S. M. Grace, K. P. Horan, and M. S. Howe, THE INFLUENCE OF SHAPE ON THE RAYLEIGH CONDUCTIVITY OF A WALL APERTURE IN THE PRESENCE OF GRAZING FLOW, Journal of Fluids and Structures, vol.12, issue.3, pp.335-351, 1998.
DOI : 10.1006/jfls.1997.0145

N. Tran, S. Ducruix, and T. Schuller, Damping combustion instabilities with perforates at the premixer inlet of a swirled burner, Proceedings of the Combustion Institute, vol.32, issue.2, pp.2917-2924, 2009.
DOI : 10.1016/j.proci.2008.06.123

URL : https://hal.archives-ouvertes.fr/hal-00497224

N. Tran, S. Ducruix, and T. Schuller, Passive Control of the Inlet Acoustic Boundary of a Swirled Burner at High Amplitude Combustion Instabilities, Journal of Engineering for Gas Turbines and Power, vol.131, issue.5, 2009.
DOI : 10.1115/1.3078206

S. Mendez and F. Nicoud, Numerical investigation of an anisothermal turbulent flow with effusion, 5th International Symposium on Turbulence and Shear Flow Phenomena, 2007.

S. Mendez and F. Nicoud, Adiabatic Homogeneous Model for Flow Around a Multiperforated Plate, AIAA Journal, vol.46, issue.10, pp.2623-2633, 2008.
DOI : 10.2514/1.37008

URL : https://hal.archives-ouvertes.fr/hal-00820458

S. Mendez and J. Eldredge, Acoustic modeling of perforated plates with bias flow for Large-Eddy Simulations, Journal of Computational Physics, vol.228, issue.13, pp.4757-4772, 2009.
DOI : 10.1016/j.jcp.2009.03.026

X. Jing and X. Sun, Effect of Plate Thickness on Impedance of Perforated Plates with Bias Flow, AIAA Journal, vol.38, issue.9, pp.1573-1578, 2000.
DOI : 10.2514/2.1139

X. Sun, X. Jing, H. , Z. Shi, and Y. , EFFECT OF GRAZING???BIAS FLOW INTERACTION ON ACOUSTIC IMPEDANCE OF PERFORATED PLATES, Journal of Sound and Vibration, vol.254, issue.3, pp.557-573, 2002.
DOI : 10.1006/jsvi.2001.4110

M. Howe, M. Scott, and S. Sipcic, The Influence of Tangential Mean Flow on the Rayleigh Conductivity of an Aperture, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.452, issue.1953, pp.2303-2317, 1996.
DOI : 10.1098/rspa.1996.0123

F. Nicoud, L. Benoit, and C. Sensiau, Acoustic Modes in Combustors with Complex Impedances and Multidimensional Active Flames, AIAA Journal, vol.45, issue.2, pp.426-441, 2007.
DOI : 10.2514/1.24933

URL : https://hal.archives-ouvertes.fr/hal-00908192

R. Lehoucq and D. Sorensen, Arpack: Solution of large scale eigenvalue problems with implicitly restarted arnoldi methods. www.caam.rice.edu/software/arpack, 1997.

T. Luong, M. S. Howe, and R. S. Mcgowan, On the Rayleigh conductivity of a bias-flow aperture, Journal of Fluids and Structures, vol.21, issue.8, pp.769-778, 2005.
DOI : 10.1016/j.jfluidstructs.2005.09.010

E. Gullaud, S. Mendez, C. Sensiau, F. Nicoud, and T. Poinsot, Effect of multiperforated plates on the acoustic modes in combustors, Comptes Rendus M??canique, vol.337, issue.6-7, pp.406-414, 2009.
DOI : 10.1016/j.crme.2009.06.020

URL : https://hal.archives-ouvertes.fr/hal-00803809

D. T. Blackstock, Fundamentals of Physical Acoustics, The Journal of the Acoustical Society of America, vol.109, issue.4, 2000.
DOI : 10.1121/1.1354982

M. S. Howe, Acoustics of Fluid-Structure Interaction, 1998.

G. Boudier, N. Lamarque, G. Staffelbach, L. Y. Gicquel, and T. Poinsot, Thermo-Acoustic Stability of a Helicopter Gas Turbine Combustor Using Large Eddy Simulation, International Journal of Aeroacoustics, vol.142, issue.4, pp.69-94, 2009.
DOI : 10.1260/147547209786234975

N. Noiray, M. Bothien, and B. Schuermans, Analytical and numerical analysis of staging concepts in annular gas turbines, 2010.

B. Schuermans, C. O. Paschereit, and P. Monkewitz, Non-linear combustion instabilities in annular gas-turbine combustors, 44th AIAA Aerospace Sciences Meeting and Exhibit, 2006.