A. A. Aldama, Filtering techniques for turbulent flow simulations, 1990.
DOI : 10.1007/978-3-642-84091-3

V. Anderson and . Yang, Liquid Rocket Engine Combustion Instability, 1995.
DOI : 10.2514/4.866371

M. Barrère and J. Corbeau, Combustion And Propulsion -Fifth AGARD Colloquim, Chapter Les instabilités de combustion dans les fuséesfusées`fuséesà propergol liquide, pp.637-692, 1963.

V. G. Bazarov and V. Yang, Liquid-Propellant Rocket Engine Injector Dynamics, Journal of Propulsion and Power, vol.14, issue.5, pp.797-806, 1998.
DOI : 10.2514/2.5343

J. B. Blaisot, C. Dumouchel, F. Baillot, and G. Boisdron, Interaction between an air assisted jet and an acoustic field, 19th Annual European Conference on Liquid Atomisation and Sprays Systems, 2004.

N. Bogolioubov and I. Mitropolski, Les méthodes asymptotiques en théorie des oscillations non linéaires, 1962.

K. J. Breisacher and R. J. Priem, Analysis of 5 kHz combustion instabilities in Methane/LOx combustion chambers, 1988.

V. S. Burnley and F. E. Culick, Influence of Random Excitations on Acoustic Instabilities in Combustion Chambers, AIAA Journal, vol.38, issue.8, pp.1403-1410, 2000.
DOI : 10.2514/2.1116

S. Candel, Combustion instabilities coupled by pressure waves and their active control, Proceedings of the Combustion Institute, pp.1277-1296, 1992.
DOI : 10.1016/S0082-0784(06)80150-5

S. Candel, Combustion dynamics and control: Progress and challenges, Proceedings of the Combustion Institute, vol.29, issue.1, pp.1-28, 2003.
DOI : 10.1016/S1540-7489(02)80007-4

S. Candel, G. Herding, R. Snyder, P. Scouflaire, C. Rolon et al., Experimental Investigation of Shear Coaxial Cryogenic Jet Flames, Journal of Propulsion and Power, vol.14, issue.5, pp.826-834, 1998.
DOI : 10.2514/2.5346

URL : https://hal.archives-ouvertes.fr/hal-00273979

S. Candel, M. Juniper, G. Singla, P. Scouflaire, and C. Rolon, STRUCTURE AND DYNAMICS OF CRYOGENIC FLAMES AT SUPERCRITICAL PRESSURE, Combustion Science and Technology, vol.6, issue.1-3, pp.161-192, 2006.
DOI : 10.2514/2.5834

URL : https://hal.archives-ouvertes.fr/hal-00133329

S. Candel and T. Poinsot, A tutorial on acoustics, 1987.

B. Chehroudi, D. Davis, and D. Talley, Initial results from a cryogenic coaxial injector in an acoustic field, 1339.

F. Cheuret, Instabilités thermo-acoustiques de combustion haute-fréquence dans les moteurs fusées, 2005.

P. Clavin, J. S. Kim, and F. A. Williams, Turbulence-Induced Noise Effects on High-Frequency Combustion Instabilities, Combustion Science and Technology, vol.12, issue.1-3, pp.1-3, 1994.
DOI : 10.2514/3.4908

O. Colin and M. Rudgyard, Development of High-Order Taylor???Galerkin Schemes for LES, Journal of Computational Physics, vol.162, issue.2, pp.338-371, 2000.
DOI : 10.1006/jcph.2000.6538

T. Conrad, A. Bibik, D. Shcherbik, E. Lubarsky, and B. T. Zinn, Control instabilities in liquid fueled combustor by modification of the reaction zone unsing smart fuel injector, pp.2004-4029, 2004.

A. W. Cook, Determination of the constant coefficient in scale similarity models of turbulence, Physics of Fluids, vol.9, issue.5, pp.1485-1487, 1997.
DOI : 10.1063/1.869271

A. W. Cook and W. K. Bushe, A subgrid-scale model for the scalar dissipation rate in nonpremixed combustion, Physics of Fluids, vol.11, issue.3, pp.746-748, 1999.
DOI : 10.1063/1.869945

A. W. Cook and J. J. Riley, A subgrid model for equilibrium chemistry in turbulent flows, Physics of Fluids, vol.6, issue.8, pp.2868-2870, 1994.
DOI : 10.1063/1.868111

L. Crocco and S. Cheng, High frequency combustion instability in rockets with distributed combustion, Symposium (International) on Combustion, vol.4, issue.1, pp.865-879, 1954.
DOI : 10.1016/S0082-0784(53)80111-6

L. Crocco, J. Grey, and D. T. Harrje, On the importance of the sensitive time lag in longitudinal high-frequency rocket combustion instability, Jet Propulsion, vol.28, issue.12, pp.841-843, 1958.

S. C. Crow and F. H. Champagne, Orderly structure in jet turbulence, Journal of Fluid Mechanics, vol.89, issue.03, pp.547-591, 1971.
DOI : 10.1088/0959-5309/47/4/314

F. E. Culick and V. Yang, Overview of combustion instabilities in liquid-propellant rocket engines, Liquid Rocket Engine Combustion Instability 169 Progress in Astronautics and Aeronautics, pp.3-37, 1995.

B. Delhaye, D. Veynante, S. M. Candel, and H. H. Minh, Simulation and modeling of reactive shear layers, Theoretical and Computational Fluid Dynamics, vol.63, issue.2-3, pp.67-87, 1994.
DOI : 10.1007/BF00312342

S. Fisher, F. Dodd, and R. Jensen, Scaling Techniques for Liquid Rocket Combustion Liquid Rocket Engine Combustion Instability, pp.545-564169, 1995.

J. H. Freiziger, Large Eddy Numerical Simulations of Turbulent Flows, AIAA Journal, vol.15, issue.9, pp.1261-1267, 1977.
DOI : 10.2514/3.60782

F. Gao, A large???eddy simulation scheme for turbulent reacting flows, Physics of Fluids A: Fluid Dynamics, vol.5, issue.6, pp.1282-1284, 1993.
DOI : 10.1063/1.858617

D. Harrje and F. Reardon, Nasa SP-194, Liquid Propellant Rocket Combustion Instability, 1972.

G. Herding, R. Snyder, C. Rolon, and S. Candel, Investigation of cryogenic propellant flames using computerized tomography of OH emission images, Journal of Propulsion and Power, vol.13, pp.146-151, 1998.

G. Herding, R. Snyder, P. Scouflaire, C. Rolon, and S. Candel, Flame stabilization in cryogenic propellant combustion, Proceedings of the Combustion Institute, pp.2041-2047, 1996.
DOI : 10.1016/S0082-0784(96)80028-2

C. M. Ho and P. Huerre, Perturbed Free Shear Layers, Annual Review of Fluid Mechanics, vol.16, issue.1, pp.365-424, 1984.
DOI : 10.1146/annurev.fl.16.010184.002053

H. J. Hussein, S. P. Capp, and W. K. George, Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet, Journal of Fluid Mechanics, vol.18, issue.-1, pp.31-75, 1994.
DOI : 10.1007/BF02120346

N. Ierardo, A. Accettura, A. Congiunti, F. Cuoco, C. Bruno et al., LOx-HC : Current Status and Modeling of Supercritical Injectors, 2001.

B. A. Janardan, B. R. Daniel, W. A. Bell, and B. T. Zinn, Measurements of Reactive Gaseous Rocket Injector Admittances, Combustion Science and Technology, vol.11, issue.5-6, pp.5-6, 1979.
DOI : 10.1016/0022-460X(76)90882-8

S. Jay, F. Lacas, and S. Candel, Combined surface density concepts for dense spray combustion, Combustion and Flame, vol.144, issue.3, pp.558-577, 2006.
DOI : 10.1016/j.combustflame.2005.07.017

URL : https://hal.archives-ouvertes.fr/hal-00133285

R. J. Jensen, S. E. Claflin, and H. Dodson, Liquid oxygen/methane combustion instability investigation, 1990.

M. Juniper, Structure et stabilisation des flammes cryotechniques, 2001.

M. Juniper and S. Candel, Edge Diffusion Flame Stabilization Behind a Step over a Liquid Reactant, Journal of Propulsion and Power, vol.19, issue.3, pp.332-341, 2003.
DOI : 10.2514/2.6134

M. Juniper, N. Darabiha, and S. Candel, The extinction limits of a hydrogen counterflow diffusion flame above liquid oxygen, Combustion and Flame, vol.135, issue.1-2, pp.87-96, 2003.
DOI : 10.1016/S0010-2180(03)00149-4

M. Juniper, A. Tripathi, P. Scouflaire, C. Rolon, and S. Candel, Structure of cryogenic flames at elevated pressures, Proceedings of the Combustion Institute, pp.1103-1109, 2000.
DOI : 10.1016/S0082-0784(00)80320-3

URL : https://hal.archives-ouvertes.fr/hal-00270532

G. P. Kalmykov and S. V. Mossolov, Liquid rocket engines working on oxygen + methane for space transportation systems of the XXI century (on the results of scientific and experimental studies), 2000.

D. Kendrick, G. Herding, P. Scouflaire, C. Rolon, and S. Candel, Effects of a recess on cryogenic flame stabilization, Combustion and Flame, vol.118, issue.3, pp.327-339, 1999.
DOI : 10.1016/S0010-2180(98)00168-0

URL : https://hal.archives-ouvertes.fr/hal-00271528

A. M. Laverdant, T. Poinsot, and S. M. , Mean temperature field effect on acoustic mode structure in dump combustor, Journal of Propulsion and Power, vol.2, issue.4, pp.311-316, 1986.
DOI : 10.2514/3.22888

R. B. Lawhead, Photographic studies of combustion processes in liquid propellant rockets, Proceedings of the Combustion Institute, pp.1140-1151, 1961.
DOI : 10.1016/S0082-0784(06)80612-0

T. Lieuwen and V. Yang, Combustion instabilities in gas turbine engines, Progress in Astronautics and Aeronautics, 2005.
DOI : 10.2514/4.866807

K. Mcmanus, T. Poinsot, and S. Candel, A review of active control of combustion instabilities, Progress in Energy and Combustion Science, vol.19, issue.1, pp.1-29, 1993.
DOI : 10.1016/0360-1285(93)90020-F

C. Meneveau, T. Lund, and W. Cabot, A Lagrangian dynamic subgrid-scale model of turbulence, Journal of Fluid Mechanics, vol.17, issue.-1, p.353, 1996.
DOI : 10.1017/S0022112092002271

P. Moin, K. Squires, and S. Lee, A dynamic subgrid???scale model for compressible turbulence and scalar transport, Physics of Fluids A: Fluid Dynamics, vol.3, issue.11, pp.2746-2757, 1991.
DOI : 10.1063/1.858164

J. A. Muss and J. L. Pieper, Performance and stability characterization of LOX/Hydrocarbon injectors, 24th Joint Propulsion Conference, pp.88-3133, 1988.
DOI : 10.2514/6.1988-3133

C. Nottin, Développement de méthodes de prévision des instabilitiés de combustion dans les foyers prémélangés, 2002.

J. C. Oefelein and V. Yang, Comprehensive review of liquid-propellant combustion instabilities in F-1 engines, Journal of Propulsion and Power, vol.9, issue.5, pp.657-677, 1993.
DOI : 10.2514/3.23674

J. C. Oefelein and V. Yang, Modeling High-Pressure Mixing and Combustion Processes in Liquid Rocket Engines, Journal of Propulsion and Power, vol.14, issue.5, pp.843-857, 1998.
DOI : 10.2514/2.5349

A. Ongoren and D. Rockwell, Flow structure from an oscillating cylinder Part 2. Mode competition in the near wake, Journal of Fluid Mechanics, vol.75, issue.-1, pp.225-245, 1988.
DOI : 10.1017/S0022112076000207

M. Oschwald and M. M. Micci, SPREADING ANGLE AND CENTERLINE VARIATION OF DENSITY OF SUPERCRITICAL NITROGEN JETS, Atomization and Sprays, vol.12, issue.1-3, pp.1-3, 2002.
DOI : 10.1615/AtomizSpr.v12.i123.50

M. Oschwald, J. J. Smith, J. Branam, A. Hussong, B. Schik et al., INJECTION OF FLUIDS INTO SUPERCRITICAL ENVIRONMENTS, Combustion Science and Technology, vol.16, issue.1-3, pp.1-3, 2006.
DOI : 10.1017/S0022112070000630

P. Pempie, T. Frohlich, and H. Vernin, LOX/methane and LOX/kerosene high thrust engine trade-off, 37th Joint Propulsion Conference and Exhibit, pp.2001-3542, 2001.
DOI : 10.2514/6.2001-3542

N. Peters, Local Quenching Due to Flame Stretch and Non-Premixed Turbulent Combustion, Combustion Science and Technology, vol.10, issue.1-6, 1983.
DOI : 10.1080/00102208308923608

K. D. Philippart and M. D. Moser, Stability analyses of liquid oxygen/methane injectors using current available analytical tools, pp.88-2851, 1988.

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

S. Pope, The evolution of surfaces in turbulence, International Journal of Engineering Science, vol.26, issue.5, p.445, 1988.
DOI : 10.1016/0020-7225(88)90004-3

S. B. Pope, Turbulent flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00338511

J. Réveillon and L. Vervisch, Response of the dynamic LES model to heat release induced effects, Physics of Fluids, vol.8, issue.8, pp.2248-2250, 1996.
DOI : 10.1063/1.868999

C. Rey, Interactions Collectives dans les Instabilités de Combustion Haute Fréquence. Application aux Moteurs FuséesFuséesà Ergols Liquides, 2004.

C. Rey, S. Ducruix, and S. Candel, Transverse acoustic forcing of a reacting mixing layer, 9th International Conference on Numerical Combustiion, 2002.

C. Rey, S. Ducruix, and S. Candel, A method for the transverse modulation of reactive flows with application to combustion instability, Combustion Theory and Modelling, vol.9, issue.1, pp.5-22, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00183609

C. Rey, S. Ducruix, F. Richecoeur, P. Scouflaire, L. Vingert et al., High Frequency Combustion Instabilities Associated with Collective Interactions in Liquid Propulsion, 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, pp.2004-3518, 2004.
DOI : 10.2514/6.2004-3518

C. Rey, S. Ducruix, P. Scouflaire, and S. Candel, Analysis of high frequency instabilities associated with collective interactions, 7th French-German Colloquium on Liquid Propulsion, pp.17-18, 2002.

F. Richecoeur, P. Scouflaire, S. Ducruix, and S. Candel, Experimental investigation of high frequency combustion instabilities, 20th ICDERS, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00497225

F. Richecoeur, P. Scouflaire, S. Ducruix, and S. Candel, High-Frequency Transverse Acoustic Coupling in a Multiple-Injector Cryogenic Combustor, Journal of Propulsion and Power, vol.22, issue.4, pp.790-799, 2006.
DOI : 10.2514/1.18539

URL : https://hal.archives-ouvertes.fr/hal-00184034

P. Sagaut, Large eddy simulation for incompressible flows, 2001.

T. Schuller, D. Durox, and S. Candel, Dynamics of and noise radiated by a perturbed impinging premixed jet flame, Combustion and Flame, vol.128, issue.1-2, pp.88-110, 2002.
DOI : 10.1016/S0010-2180(01)00334-0

URL : https://hal.archives-ouvertes.fr/hal-00497232

T. Schuller, D. Durox, and S. Candel, Self-induced combustion oscillations of laminar premixed flames stabilized on annular burners, Combustion and Flame, vol.135, issue.4, pp.525-537, 2003.
DOI : 10.1016/j.combustflame.2003.08.007

URL : https://hal.archives-ouvertes.fr/hal-00497230

G. Singla, Etude des flammes cryotechniques oxygène liquide / méthanè a haute pression, 2005.

G. Singla, P. Scouflaire, C. Rolon, and S. Candel, Transcritical oxygen/transcritical or supercritical methane combustion, Proceedings of the Combustion Institute, pp.2921-2928, 2005.
DOI : 10.1016/j.proci.2004.08.063

URL : https://hal.archives-ouvertes.fr/hal-00116330

G. Singla, P. Scouflaire, C. Rolon, and S. Candel, Planar laser-induced fluorescence of OH in high-pressure cryogenic LOx/GH2 jet flames, Combustion and Flame, vol.144, issue.1-2, pp.151-169, 2006.
DOI : 10.1016/j.combustflame.2005.06.015

URL : https://hal.archives-ouvertes.fr/hal-00133327

G. Singla, P. Scouflaire, C. Rolon, S. Candel, and L. Vingert, OH PLIF and emission imaging in high pressure cryogenic LOx/Methane flames, 2006.

G. Singla, P. Scouflaire, J. C. Rolon, and S. Candel, Flame stabilization in high-pressure LOx/GH 2 and GCH 4 combustion, Proceedings of the Combustion Institute 31, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00270478

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

R. Snyder, G. Herding, C. Rolon, and S. Candel, Analysis of Flame Patterns in Cryogenic Propellant Combustion, Combustion Science and Technology, vol.55, issue.2, pp.331-370, 1997.
DOI : 10.1080/00102209708935651

URL : https://hal.archives-ouvertes.fr/hal-00273986

F. Takahashi and V. R. Katta, Stability-limit predictions of methane jet diffusion flames, 35th Joint Propulsion Conference and Exhibit, pp.99-2781, 1999.
DOI : 10.2514/6.1999-2781

H. Tamura, F. Ono, A. Kumakawa, and N. Yatsuyanagi, LOX/methane staged combustion rocket combustor investigation, 23rd Joint Propulsion Conference, pp.87-1856, 1987.
DOI : 10.2514/6.1987-1856

H. Tamura, H. Sakamoto, M. Sasaki, M. Takahashi, T. Tomita et al., An experimental study on the stability characteristics of the LOx, 1995.