E. T. Curran, W. Heiser, and D. T. Pratt, Fluid Phenomena in Scramjet Combustion Systems, Annual Review of Fluid Mechanics, vol.28, issue.1, pp.323-360, 1996.
DOI : 10.1146/annurev.fl.28.010196.001543

W. Heiser and D. T. Pratt, Hypersonic airbreathing propulsion, AIAA Education Series, 1994.
DOI : 10.2514/4.470356

K. N. Bray, P. A. Libby, and F. A. Williams, High speed turbulent combustion, Turbulent Reacting Flows, pp.609-638, 1994.

D. W. Bogdanoff, Compressibility Effects in Turbulent Shear Layers, AIAA Journal, vol.21, issue.6, pp.926-927, 1983.
DOI : 10.2514/3.60135

D. Papamoschou and A. Roshko, The compressible turbulent shear layer: an experimental study, Journal of Fluid Mechanics, vol.23, issue.-1, pp.453-477, 1988.
DOI : 10.1017/S0022112058000653

T. Fujimori, M. Murayama, J. Sato, H. Kobayashi, and T. Niioka, Flame Holding behind a wedge by incident shock waves", Iutam symposium on combustion in supersonic flows, pp.95-110, 1997.

H. Huh and J. F. Driscoll, Shock-wave-enhancement of the mixing and the stability limits od supersonic hydrogen-air ?ames, Proceedings of the Combustion Institute, pp.2933-2939, 1996.

G. L. Brown and A. Roshko, On density effects and large structure in turbulent mixing layers, Journal of Fluid Mechanics, vol.87, issue.04, pp.1929-1934, 1980.
DOI : 10.1017/S002211207400190X

F. Landis and A. H. Shapiro, The turbulent mixing of co-axial gas jets". Heat Transfer and Fluid Mechanics Institute, 1951.

A. N. Kolmogorov, Local structure of turbulence in an incompressible ?uid for very large Reynolds numbers Comptes Rendus (Doklady) de l'Académie des Sciences, pp.301-305, 1941.

. Turbulence, Classic Papers on Statistical Theory, 1961.

J. T. Liu, Coherent structures in transitional and turbulent free shear ?ows'. Annual review of fluid mechanics, pp.285-315, 1989.

S. B. Pope, An explanation of the turbulent round-jet/plane-jet anomaly, AIAA Journal, vol.16, issue.3, pp.279-281, 1978.
DOI : 10.2514/3.7521

N. Chinzei, G. Masuya, T. Komuro, A. Murakami, and K. Kudou, Spreading of two-stream supersonic turbulent mixing layers, Physics of Fluids, vol.29, issue.5, pp.1345-1347, 1986.
DOI : 10.1063/1.865698

J. C. Lau, Effects of exit Mach number and temperature on mean-flow and turbulence characteristics in round jets, Journal of Fluid Mechanics, vol.19, issue.-1, pp.193-218, 1981.
DOI : 10.1017/S0022112064000945

J. C. Dutton, R. F. Burr, S. G. Goebel, and N. L. Messersmith, Compressibility and mixing in a turbulent free shear layer, Twelfth symposium on turbulence, pp.21-22, 1990.

N. T. Clemens, . P. Paul, M. G. Mungal, and R. K. Hanson, Scalar mixing in the supersonic shear layer, 22nd Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1991.
DOI : 10.2514/6.1991-1720

J. L. Hall, P. E. Dimotakis, and H. Rosemann, Some measurements of molecular mixing in compressible turbulent shear layers, 1991.

S. P. Burke and T. E. Schumann, Diffusion Flames, Industrial & Engineering Chemistry, vol.20, issue.10, pp.998-1004, 1928.
DOI : 10.1021/ie50226a005

S. H. Chung and B. J. Lee, On the characteristics of laminar lifted ?ames in a non-premixed jet, Combustion and Flame, vol.86, pp.1-2, 1991.

T. L. Jackson and M. Y. Hussaini, An Asymptotic Analysis of Supersonic Reacting Mixing Layers, Combustion Science and Technology, vol.57, issue.4-6, pp.129-140, 1988.
DOI : 10.1146/annurev.fl.05.010173.001505

C. E. Grosch and T. L. Jackson, Ignition and structure of a laminar diffusion ?ame in a compressible mixing layer with ?nite rate chemistry, Journal of Physics of Fluids, issue.12, p.3, 1991.

M. René-corail, L. F. Figueira-da-silva, B. Deshaies, and M. Champion, Structure of combustion in supersonic H2-Air mixing layers". STAR European Symposium. Properties of reactive fluids and their application to propulsion, 1992.

V. Morgenthaler, L. F. Figueira-da-silva, B. Deshaies, and V. A. Sabel-'nikov, Non premixed combustion in supersonic turbulent ?ows : a numerical study for co-?owing H2-air jets, 1999.

L. He, Etude des phénomènes d'allumage. Applications aux mélanges H2, 1991.

L. F. Figueira-da-silva, B. Deshaies, M. Champion, and M. René-corail, Some speci?c aspects of combustion in supersonic H2-Air laminar mixing layers, Combustion Science and Technology, issue.89, pp.317-333, 1993.

J. L. Palmer and R. K. Hanson, Temperature imaging in a supersonic free jet of combustion gases with two-line OH fluorescence, Applied Optics, vol.35, issue.3, pp.485-499, 1996.
DOI : 10.1364/AO.35.000485

J. T. Adamson and J. A. Nicholls, On the Structure of Jets from Highly Underexpanded Nozzles Into Still Air, Journal of the Aerospace Sciences, vol.26, issue.1, pp.16-24, 1959.
DOI : 10.2514/8.7912

E. S. Love, C. E. Grisby, L. P. Lee, and M. J. Woodling, Experimental and theoretical studies of axisymmetric free jets, 1959.

P. S. Cumber, M. Fairweather, S. A. Falle, and J. R. Giddings, Predictions of the Structure of Turbulent, Highly Underexpanded Jets, Journal of Fluids Engineering, vol.117, issue.4, pp.599-604, 1995.
DOI : 10.1115/1.2817309

J. Panda and R. G. Seasholtz, Measurement of shock structure and shock???vortex interaction in underexpanded jets using Rayleigh scattering, Physics of Fluids, vol.11, issue.12, pp.3761-3777, 1999.
DOI : 10.1063/1.870247

N. J. Dam, M. Rodenburg, R. A. Tolboom, G. G. Stoffels, P. M. Huisman-kleinherenbring et al., Imaging of an underexpanded nozzle flow by UV laser Rayleigh scattering, Experiments in Fluids, vol.24, issue.2, pp.93-101, 1998.
DOI : 10.1007/s003480050156

P. Gicquel, L. Vingert, L. Lecourt, and M. Barat, Etudes expérimentales des sprays cryogéniques en combustion dans des conditions sub-et supercritiques, Proceedings Combustion dans les moteurs fusées, Cépaduès Editions, pp.359-369, 2001.

P. Gicquel, E. Brisson, and L. Vingert, Experimental investigation of a LOx spray under hot ?re conditions, Proceedings of the 7th INternational Conference on Liquid Atomization, 1997.

G. Herding, R. Snyder, J. C. Rolon, and S. Candel, Investigation of cryogenic propellant ?ames using computerized tomography of OH emission images, Journal of Propulsion Power, vol.13, issue.2, pp.146-151, 1998.

M. Juniper, A. Tripathi, P. Scou?aire, J. C. Rolon, and S. Candel, Structure of cryogenic ?ames at elevated pressures, 28th International Symposium on Combustion, pp.1103-1110, 2000.

G. M. Faeth, Structure and atomization properties of dense turbulent sprays, 23rd International Symposium on Combustion. The Combustion Institute, pp.1345-1352, 1990.
DOI : 10.1016/S0082-0784(06)80399-1

F. X. Demoulin and R. Borghi, Modeling of turbulent spray combustion with application to diesel like experiment, Combustion and Flame, vol.129, issue.3, pp.281-293, 2002.
DOI : 10.1016/S0010-2180(02)00340-1

A. Vallet, A. A. Burluka, and R. Borghi, DEVELOPMENT OF A EULERIAN MODEL FOR THE ???ATOMIZATION??? OF A LIQUID JET, Atomization and Sprays, vol.11, issue.6, pp.619-642, 2001.
DOI : 10.1615/AtomizSpr.v11.i6.20

R. Borghi and M. Gonzalez, Applications of lagrangian models to turbulent combustion, Combustion and Flame, vol.63, issue.1-2, pp.239-250, 1986.
DOI : 10.1016/0010-2180(86)90124-0

R. Borghi, The links between turbulent combustion and spray combustion and their modelling". Transport Phenomena in combustion, pp.1-18, 1995.

L. Landau and E. Lifshitz, Mécanique des Fluides, 1998.

P. Chassaing, Turbulence en mécanique des ?uides Analyse du phénomène dans une perspective de modélisation à l'usage de l'ingénieur, 2000.

A. Favre, Equations des gaz turbulents compressibles, Journal de Mécanique, vol.4, 1965.

M. V. Morkovin, Effects of compressibility on turbulent ?ows, Coll. Int. CNRS No, vol.108, 1961.

P. Bradshaw, Compressible Turbulent Shear Layers, Annual Review of Fluid Mechanics, vol.9, issue.1, pp.33-52, 1977.
DOI : 10.1146/annurev.fl.09.010177.000341

S. Barre, C. Quine, and J. P. Et-dussauge, Compressibility effects on the structure of supersonic mixing layers: experimental results, Journal of Fluid Mechanics, vol.4, issue.-1, pp.47-48, 1994.
DOI : 10.1017/S0022112071000417

J. Panda and R. G. Et-seasholtz, Experimental Investigation of Reynolds and Favre Averaging in High-Speed Jets, AIAA Journal, vol.44, issue.9, pp.1952-1959, 2006.
DOI : 10.2514/1.15638

S. B. Pope, Turbulent ?ows, 2000.

L. L. Zheng and K. N. Et-bray, Effects of dilatation dissipation on turbulent shear layer combustion in high speed ?ows. Twenty-fourth Symposium on Combustion, The Combustion Institute, pp.405-411, 1992.

P. R. Spalart and S. R. Et-allmaras, A one-equation turbulence model for aerodynamic flows, 30th Aerospace Sciences Meeting and Exhibit, 1992.
DOI : 10.2514/6.1992-439

P. R. Spalart and S. R. Et-allmaras, A one-equation turbulence model for aerodynamic flows, 30th Aerospace Sciences Meeting and Exhibit, pp.5-21, 1994.
DOI : 10.2514/6.1992-439

W. P. Jones and B. E. Launder, The calculation of low-Reynolds-number phenomena with a two-equation model of turbulence, International Journal of Heat and Mass Transfer, vol.16, issue.6, p.1119, 1973.
DOI : 10.1016/0017-9310(73)90125-7

W. Shyy and V. S. Krishnamurty, Compressibility effects in modeling complex turbulent flows, Progress in Aerospace Sciences, vol.33, issue.9-10, pp.587-645, 1997.
DOI : 10.1016/S0376-0421(97)00005-5

D. Vandromme, Introduction to the modelling of compressible turbulence -notes de cours, 1997.

O. Zeman, Dilatation dissipation : the concept and application in modelling compressible mixing layers. Physics of Fluids A (Fluid Dynamics), pp.176-188, 1990.

G. A. Blaisdell, N. N. Mansour, W. C. Reynolds, and S. Sarkar, Compressibility effects on the growth and structure of homogeneous turbulent shear flow, Journal of Fluid Mechanics, vol.181, issue.-1, pp.443-485, 1993.
DOI : 10.1007/BF00271469

C. G. Speziale, S. Sarkar, and T. B. Gatski, Modelling the pressure???strain correlation of turbulence: an invariant dynamical systems approach, Journal of Fluid Mechanics, vol.45, issue.-1, pp.245-272, 1991.
DOI : 10.1063/1.857575

G. N. Coleman and N. N. Mansour, Modeling the rapid spherical compression of isotropic turbulence, Physics of Fluids A: Fluid Dynamics, vol.3, issue.9, p.2255, 1991.
DOI : 10.1063/1.857906

D. C. Wilcox, Dilatation-dissipation corrections for advanced turbulence models, AIAA Journal, vol.30, issue.11, p.2639, 1992.

P. G. Huang, P. Bradshaw, and T. J. Coakley, Turbulence models for compressible ?ows, AIAA Journal, vol.32735, issue.4, 1994.
DOI : 10.2514/3.12046

A. W. Vreman, N. D. Sandham, and K. H. Luo, Compressible mixing layer growth rate and turbulence characteristics, Journal of Fluid Mechanics, vol.30, issue.-1, p.235, 1996.
DOI : 10.1017/S0022112093000473

URL : http://purl.utwente.nl/publications/92581

C. Pantano and S. Sarkar, A study of compressibility effects in the high-speed turbulent shear layer using direct simulation, Journal of Fluid Mechanics, vol.451, pp.271-329, 2002.
DOI : 10.1017/S0022112001006978

T. G. Kreutz, M. Nishioka, and C. K. Et-law, The role of kinetic versus thermal feedback in nonpremixed ignition of hydrogen versus heated air, Combustion and Flame, vol.99, issue.3-4, pp.758-766, 1994.
DOI : 10.1016/0010-2180(94)90071-X

A. Linan, The asymptotic structure of counterflow diffusion flames for large activation energies, Acta Astronautica, vol.1, issue.7-8, pp.1007-1039, 1974.
DOI : 10.1016/0094-5765(74)90066-6

V. Giovangigli and M. D. Et-smooke, Extinction of Strained Premixed Laminar Flames With Complex Chemistry, Combustion Science and Technology, vol.3, issue.1, pp.23-49, 1987.
DOI : 10.1016/0360-1285(84)90118-7

N. Darabiha and S. Et-candel, The Influence of the Temperature on Extinction and Ignition Limits of Strained Hydrogen-Air Diffusion Flames, Combustion Science and Technology, vol.181, issue.1-6, pp.67-85, 1992.
DOI : 10.1016/0021-9991(82)90036-5

G. Balakrishnan, M. D. Smooke, and F. A. Et-willimas, Paper No. 95presented at the 1993 technical meeting of the eastern states section of the Combustion Intistute, 1993.

W. Stern, B. Kravetz, and A. Sokolik, Self-ignition of short delays gas mixtures I Selfignition of hydrogen mixtures with air, Acta Physicochimica URSS, vol.8, pp.461-480, 1938.

M. Nishioka and C. K. Et-law, A numerical study of ignition in the supersonic hydrogen/air laminar mixing layer, Combustion and Flame, vol.108, issue.1-2, pp.199-219, 1997.
DOI : 10.1016/S0010-2180(96)00099-5

M. Champion, B. Deshaies, and G. Joulin, Relative influences of convective and diffusive transports during spherical flame initiation, Combustion and Flame, vol.74, issue.2, pp.161-170, 1988.
DOI : 10.1016/0010-2180(88)90014-4

E. Mastorakos, T. A. Baritaud, and T. Et-poinsot, Numerical simulations of autoignition in turbulent mixing flows, Combustion and Flame, vol.109, issue.1-2, pp.198-223, 1997.
DOI : 10.1016/S0010-2180(96)00149-6

H. G. Im, J. H. Chen, and C. K. Et-law, Ignition of hydrogen-air mixing layer in turbulent ?ows", Twenty-Seventh symposium (International) on COmbustion / The Combustion Institute, pp.1047-1056, 1998.

H. G. Im, B. T. Helenbrook, S. R. Lee, and C. K. Et-law, Ignition in the supersonic hydrogen/air mixing layer with reduced reaction mechanisms, Journal of Fluid Mechanics, vol.249, issue.-1, pp.275-296, 1996.
DOI : 10.1017/S0022112072001624

A. E. Lutz, R. J. Kee, and J. A. Miller, SENKIN : a FORTRAN Program for Predicting Homogeneous Gas Phase Chemical Kinetics with Sensitivity Analysis, Senkin Manual, 1988.

R. J. Kee, J. A. Miller, and T. H. Jefferson, CHEMKIN : A General-Purpose, Problem-Inedependent, Transportable, Fortran Chemical Kinetics Code Package, Sandia National Labs SAND80-8003, 1980.

R. E. Mitchell and R. J. Kee, A General Purpose Computer Code for Predicting Chemical Kinetics Behavior Behind Incident and Re?ected Shocks, Sandia National Labs SAND82-8205, 1982.

C. K. Westbrook and F. L. Dryer, Chemical kinetic modeling of hydrocarbon combustion, Progress in Energy and Combustion Science, vol.10, issue.1, pp.1-57, 1984.
DOI : 10.1016/0360-1285(84)90118-7

D. R. Eklund, J. P. Drummond, and H. A. Hassan, Calculation of supersonic turbulent reacting coaxial jets, AIAA Journal, vol.28, issue.9, pp.1633-1641, 1990.
DOI : 10.2514/3.25262

C. J. Jachimowski, An analytical Study of the Hydrogen-Air Reaction Mechanism with application to Scramjet Combustion, 1988.

A. G. Marathe, H. S. Mukunda, and V. K. Jain, Some Studies on Hydrogen???Oxygen Diffusion Flame, Combustion Science and Technology, vol.6, issue.1-2, pp.49-64, 1977.
DOI : 10.1080/00102207708946770

A. E. Lutz, M. Rupley, and R. J. Kee, Equil : a CHEMKIN Implementation of STANJAN, for Computing Chemical Equilibria, 1998.

R. Borghi, Recent advances in Aerospace Sciences, C. Bruno et C. Casci Editions, pp.117-138, 1985.

N. Peters, Laminar ?amelet concepts in turbulent combustion, Proccedings of the 21st International Symposium on Combustion, pp.1231-1250, 1986.
DOI : 10.1016/s0082-0784(88)80355-2

C. Meneveau and T. Poinsot, Stretching and quenching of flamelets in premixed turbulent combustion, Combustion and Flame, vol.86, issue.4, pp.311-332, 1991.
DOI : 10.1016/0010-2180(91)90126-V

R. W. Bilger, Structure of diffusion ?ames, Combustion Science and Technology, vol.13, pp.1-6155, 1976.

A. R. Masri, R. W. Dibble, R. W. Bilger, M. Grass, and P. Jenny, Turbulent nonpremixed flames of methane near extinction: Mean structure from Raman measurements, Combustion and Flame, vol.71, issue.3, pp.245-266181, 1988.
DOI : 10.1016/0010-2180(88)90062-4

R. Borghi and E. Pourbaix, On the coupling of complex chemistry with a turbulent combustion model, Physico Chemical Hydrodynamics, issue.2, pp.65-77, 1981.

B. E. Launder, Heat and Mass Transport". dans : Turbulence, Topics in Applied Physics, pp.231-287, 1976.

A. Mura and R. Borghi, Introducing a new partial PDF approach for turbulent combustion modeling, Combustion and Flame, vol.136, issue.3, pp.377-382, 2004.
DOI : 10.1016/j.combustflame.2003.10.004

J. Villermaux and J. C. Devillon, Représentation de la coalescence et de la redispersion des domaines de ségrégation dans un ?uide par un modèle d'interaction phénoménologique, Proceedings of the 2 nd International Symposium on Chemical Reaction Engineering, pp.1-13, 1972.

C. Dopazo, Recent developments in PDF methods". dans : Turbulent Reacting Flows, pp.375-474, 1994.

C. Dopazo and E. E. O-'brien, An approach to the autoignition of a turbulent mixture, Acta Astronautica, vol.1, issue.9-10, pp.1239-1266, 1974.
DOI : 10.1016/0094-5765(74)90050-2

W. P. Jones and P. Musonge, Closure of the Reynolds stress and scalar flux equations, Physics of Fluids, vol.31, issue.12, pp.3589-3604, 1988.
DOI : 10.1063/1.866876

A. Mura and R. Borghi, Towards an extended scalar dissipation equation for turbulent premixed combustion, Combustion and Flame, vol.133, issue.1-2, pp.193-196, 2003.
DOI : 10.1016/S0010-2180(02)00565-5

URL : https://hal.archives-ouvertes.fr/hal-00014835

A. Mura, V. Robin, and M. Champion, Modeling of scalar dissipation in partially premixed turbulent flames, Combustion and Flame, vol.149, issue.1-2, pp.217-224, 2007.
DOI : 10.1016/j.combustflame.2006.11.004

URL : https://hal.archives-ouvertes.fr/hal-00246547

N. Swaminathan and K. N. Bray, Effect of dilatation on scalar dissipation in turbulent premixed flames, Combustion and Flame, vol.143, issue.4, pp.549-565, 2005.
DOI : 10.1016/j.combustflame.2005.08.020

K. N. Bray, P. A. Libby, and J. B. Moss, Scalar length scale variations in premixed turbulent flames, Symposium (International) on Combustion, vol.20, issue.1, pp.421-427, 1984.
DOI : 10.1016/S0082-0784(85)80529-4

M. Obounou, M. Gonzalez, and R. Borghi, A lagrangian model for predicting turbulent diffusion flames with chemical kinetic effects, Symposium (International) on Combustion, vol.25, issue.1, pp.1107-1113, 1994.
DOI : 10.1016/S0082-0784(06)80748-4

R. A. Antonia and L. W. Browne, The destruction of temperature fluctuations in a turbulent plane jet, Journal of Fluid Mechanics, vol.18, issue.-1, pp.67-83, 1983.
DOI : 10.1017/S0022112077002389

J. L. Lumley, B. Khajeh-nouri, R. N. Frenkiel, R. E. Munn, and . Editions, Computational modeling of turbulent transport, Turbulent diffusion in environmental pollution, pp.169-172, 1974.

O. Zeman and J. L. Lumley, Modeling Buoyancy Driven Mixed Layers, Journal of the Atmospheric Sciences, vol.33, issue.10, pp.1974-1988, 1976.
DOI : 10.1175/1520-0469(1976)033<1974:MBDML>2.0.CO;2

T. Mantel and R. Borghi, A new model of premixed wrinkled flame propagation based on a scalar dissipation equation, Combustion and Flame, vol.96, issue.4, pp.443-457, 1994.
DOI : 10.1016/0010-2180(94)90110-4

G. R. Newman, B. E. Launder, and J. L. Lumley, Modelling the behaviour of homogeneous scalar turbulence, Journal of Fluid Mechanics, vol.88, issue.-1, pp.217-232, 1981.
DOI : 10.1017/S0022112067000552

S. E. Elghobashi and B. E. Launder, Turbulent time scales and the dissipation rate of temperature variance in the thermal mixing layer, Physics of Fluids, vol.26, issue.9, pp.2415-2419, 1983.
DOI : 10.1063/1.864426

T. H. Shih and J. L. Lumley, Influence of timescale ratio on scalar flux relaxation: modelling Sirivat & Warhaft's homogeneous passive scalar fluctuations, Journal of Fluid Mechanics, vol.18, issue.-1, pp.211-222, 1986.
DOI : 10.1017/S002211208100236X__S002211208100236X

A. Mura and F. X. Demoulin, Lagrangian intermittent modelling of turbulent lifted flames, Combustion Theory and Modelling, vol.22, issue.2, pp.227-257, 2007.
DOI : 10.1080/00102200600790763

C. Bonniot, R. Borghi, and P. Magre, Turbulent combustion in a stirred reactor, AIAA Paper, pp.77-218, 1977.

C. Bonniot and R. Borghi, Joint probability density function in turbulent combustion, Acta Astronautica, vol.6, issue.3-4, pp.309-327, 1979.
DOI : 10.1016/0094-5765(79)90101-2

J. Y. Chen, Stochastic Modeling of Partially Stirred Reactors, Combustion Science and Technology, vol.1, issue.1-6, pp.63-94, 1997.
DOI : 10.1080/00102209708935605

Z. Ren and S. B. Pope, An investigation of the performance of turbulent mixing models, Combustion and Flame, vol.136, issue.1-2, pp.208-216, 2004.
DOI : 10.1016/j.combustflame.2003.09.014

L. L. Zheng and K. N. Bray, The application of new combustion and turbulence models to H2-air nonpremixed supersonic combustion, Combustion and Flame, vol.99, issue.2, pp.440-448, 1994.
DOI : 10.1016/0010-2180(94)90151-1

K. N. Bray and N. Peters, Turbulent Reacting flows, p.63, 1994.

V. A. Sabel-'nikov, B. Deshaies, and L. F. Figueira-da-silva, Revisited Flamelet Model for Nonpremixed Combustion in Supersonic Turbulent Flows, Combust. Flame, vol.114, pp.577-584, 1998.

P. Ei?er and W. Kollman, PDF prediction of supersonic hydrogen ?ames, 31st Aerospace Sciences Meeting and Exhibit, pp.93-0448, 1993.

K. N. Bray, P. A. Libby, and F. A. Williams, High speed turbulent combustion, Turbulent Reacting Flows, pp.609-638, 1994.

K. H. Luo and K. N. Bray, Combustion-induced pressure effects in supersonic diffusion flames, Symposium (International) on Combustion, vol.27, issue.2, pp.2165-2171, 1998.
DOI : 10.1016/S0082-0784(98)80065-9

R. Borghi and F. X. Demoulin, Modeling of turbulent spray combustion with application to diesel like experiment, Combust. Flame, vol.129, issue.3, pp.281-293, 2002.

R. Borghi, The links between turbulent combustion and spray combustion and their modeling, Transport Phenomena in Combustion, vol.1, 1995.

D. B. Spalding, The combustion of liquid fuel, 4th International Symposium on Combustion , Williams and Wilkins, pp.847-864, 1953.

F. X. Demoulin, A. Mura, and R. Borghi, Turbulent Reaction rate in two-phase ?ow ?ames, Proceedings of the ECCOMAS, 2004.

P. L. Roe, Approximate Riemann solvers, parameter vectors and difference schemes, Jourlan of Computational Physics, vol.3, pp.357-372, 1981.

P. D. Lax and B. Wendroff, Difference schemes for hyperbolic equations with high order of accuracy, Communications on Pure and Applied Mathematics, vol.12, issue.3, pp.381-390, 1964.
DOI : 10.1002/cpa.3160170311

B. Van-leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, Journal of Computational Physics, vol.32, issue.1, pp.101-136, 1979.
DOI : 10.1016/0021-9991(79)90145-1

R. Martin, Projet n3S-natur v1.4 -manuel théorique, 2001.

V. Dolej?i, Anisotropic mesh adaptation for ?nite volume and ?nite element methods on triangular meshes, Computational Visual Science, vol.1, pp.165-178, 1998.

V. Dolej?i and J. Felcman, Anisotropic mesh adaptation for numerical solution of boundary value problems, Numerical Methods for Partial Differential Equations, vol.76, issue.4, pp.576-608, 2004.
DOI : 10.1002/num.10104

R. Leveque, Finite Volume Methods for Hyperbolic Problems, 2000.
DOI : 10.1017/CBO9780511791253

P. D. Lax, A concept of entropy, Proceedings of the Wisconsin conference, 1971.

C. Hirsch, Numerical computation of internal and external ?ows Fundamentals of numerical discretization, Wiley Series in Numerical Methods in Engineering, 1988.

R. Courant, E. Isaacson, and M. Rees, On the solution of nonlinear hyperbolic differential equations by finite differences, Communications on Pure and Applied Mathematics, vol.29, issue.3, pp.243-255, 1952.
DOI : 10.1002/cpa.3160050303

S. K. Godunov, Finite difference methods for numerical computations of discontinuous solutions of equations of ?uid dynamics, p.271, 1959.

A. Harten and P. D. Lax, On upstream differencing and Godunov-type schemes for hyperbolic conservation schemes, SIAM Review, vol.25, issue.35, 1981.

E. F. Toro, Riemann solvers and numerical methods for ?uid dynamics, 1999.

B. Van-leer, G. D. Van-albada, and W. W. Et-roberts, A comparative study of computational methods in cosmic gas dynamics, Astronautics and Astrophysics, vol.108, pp.76-84, 1982.

L. F. Figueira-da-silva, J. L. Azevedo, and H. Korzenowski, Unstructured Adaptive Grid Flow Simulations of Inert and Reactive Gas Mixtures, Journal of Computational Physics, vol.160, issue.2, pp.522-540, 2000.
DOI : 10.1006/jcph.2000.6470

G. Lehnasch and P. Bruel, A robust methodology for RANS simulations of highly underexpanded jets, International Journal for Numerical Methods in Fluids, vol.1, issue.114, pp.2179-2205, 2008.
DOI : 10.1002/fld.1613

URL : https://hal.archives-ouvertes.fr/hal-00301289

G. Faeth, Evaporation and combustion of sprays, Progress in Energy and Combustion, pp.1-76, 1983.
DOI : 10.1016/0360-1285(83)90005-9

O. Simonin, Eulerian formulation for particle dispersion in two-phase ?ows, Proccedings of the 5th workshop on two-phase predictions, 1990.

F. Williams, Spray Combustion and Atomization, Physics of Fluids, vol.1, issue.6, 1958.
DOI : 10.1063/1.1724379

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

P. O-'rourke, Collective drop effects on vaporizing liquid sprays, Thèse de doctorat, 1981.

K. Domelevo and L. Sainsaulieu, A numerical method for the computation of the dispersion of a cloud of particles by a turbulent gas ?ow?eld

G. Faeth, Structure and breakup properties of sprays, International Journal of Multiphase Flow, vol.21, pp.99-127, 1995.
DOI : 10.1016/0301-9322(95)00059-7

M. Pilch and C. A. Erdman, Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop, International Journal of Multiphase Flow, vol.13, issue.6, pp.741-757, 1987.
DOI : 10.1016/0301-9322(87)90063-2

W. Ning, R. D. Reitz, and R. Diwakar, AN EULERIAN-LAGRANGIAN SPRAY AND ATOMIZATION MODEL WITH IMPROVED TURBULENCE MODELING, Atomization and Sprays, vol.19, issue.8, pp.727-739, 2009.
DOI : 10.1615/AtomizSpr.v19.i8.20

D. J. Torres, P. J. O-'rourke, A. A. Amsden, and N. A. Et-westerling, A discrete multicomponent fuel modelThe heat transfer from a hot wall to impinging water drops in the spheroidal state, Atomization and Sprays, vol.13, issue.2-3, pp.131-172, 1966.

T. S. Cheng, J. A. Wehrmeyer, R. W. Pitz, O. Jarret, and G. B. Northam, Finite-rate chemistry effects in a Mach 2 reacting ?ow, 1991.

T. S. Cheng, J. A. Wehrmeyer, R. W. Pitz, O. Jarret, and G. B. Northam, Raman measurement of mixing and ?nite-rate chemistry in a supersonic hydrogen-air diffusion ?ame, Combust. Flame, pp.9957-173, 1994.

W. Waidmann, F. Alff, M. Bohm, U. Brummund, W. Clauss et al., Supersonic Combustion of Hydrogen/air in a SCRAMJET combustion chamber, Space Technology, vol.15, issue.6, pp.421-429, 1995.
DOI : 10.1016/0892-9270(95)00017-8

J. F. Izard, G. Lehnasch, and A. Mura, A Lagrangian model of combustion in high speed ?ows : application to scramjet conditions, Combustion Science and Technology, issue.11, pp.1811372-1396, 2009.

J. F. Izard and A. Mura, A Lagrangian model for non-premixed combustion in supersonic turbulent ?ows, Proceedings of the 18th International Shock Interaction Symposium, 2008.

J. F. Izard and A. Mura, Stabilization of non-premixed flames in supersonic reactive flows, Comptes Rendus M??canique, vol.337, issue.6-7, pp.362-372, 2009.
DOI : 10.1016/j.crme.2009.06.006

URL : https://hal.archives-ouvertes.fr/hal-00423023

H. Möbus, P. Gerlinger, and D. Brüggemann, Scalar and joint scalar-velocity-frequency Monte Carlo PDF simulation of supersonic combustion, Combustion and Flame, vol.132, issue.1-2, pp.3-24, 2003.
DOI : 10.1016/S0010-2180(02)00428-5

R. A. Baurle, G. A. Alexopoulos, and H. A. Hassan, Modeling of supersonic turbulent combustion using assumed probability density functions, Journal of Propulsion and Power, vol.10, issue.6, pp.777-786, 1994.
DOI : 10.2514/3.23815

R. A. Baurle and S. S. Girimaji, Assumed PDF turbulence-chemistry closure with temperature-composition correlations, Combustion and Flame, vol.134, issue.1-2, pp.131-148, 2003.
DOI : 10.1016/S0010-2180(03)00056-7

M. Oervermann, Numerical investigation of turbulent hydrogen combustion in a SCRAMJET using flamelet modeling, Aerospace Science and Technology, vol.4, issue.7, pp.463-480, 2000.
DOI : 10.1016/S1270-9638(00)01070-1

U. Wepler and W. W. Koschel, Numerical investigation of turbulent reacting ?ows in a scramjet combustor model, pp.2002-3572, 2002.

M. Berglund, M. Fureby, and C. , LES of supersonic combustion in a scramjet engine model, Proceedings of the Combustion Institute 31, pp.2497-2504, 2007.
DOI : 10.1016/j.proci.2006.07.074

H. Ashkenas and F. S. Sherman, The structure and utilization of supersonic free jets in low density wind tunnels, Advances in Applied Mechanics -Rarefied Gas Dynamics, pp.84-105, 1966.

H. A. Becker and B. D. Booth, Mixing in the interaction zone of two free jets, AIChE Journal, vol.21, issue.5, pp.949-958, 1975.
DOI : 10.1002/aic.690210517

E. Hop?nger and J. Lasheras, Explosive breakup of a liquid jet by a swirling coaxial gas jet, Physics of Fluids, vol.8, issue.7, pp.1696-1698, 1996.
DOI : 10.1063/1.868981

E. Villermaux, Mixing and Spray Formation in Coaxial Jets, Journal of Propulsion and Power, vol.14, issue.5, pp.807-817, 1998.
DOI : 10.2514/2.5344

L. Vingert, M. Habiballah, P. Gicquel, E. Brisson, S. Candel et al., Optical diagnostics for cryogenic liquid propellants combustion, Symposium AGARD/PEP, 1997.

G. Herding, Analyse expérimentale de la combustion d'ergols cryotechniques, Thèse de Doctorat, 1997.

R. Snyder, G. Herding, J. Rolon, and S. Candel, Analysis of a ?ame patern in cryogenic propellant combustion, Combustion Science and Technology, vol.124, pp.333-373, 1997.

S. Guerre, R. Bazile, and D. Stepowski, Conditioned dissipation and average consumption maps in a turbulent nonpremixed ?ame using planar-laser induced ?uorescence of O2", Twenty-sixth symposium (International) on Combustion/ The Combustion Institute, pp.105-111, 1996.

M. Juniper, Combustion cryotechnique à haute pression, Thèse de doctorat, 2001.

M. Habiballah, M. Orain, F. Grisch, L. Vingert, and P. Gicquel, EXPERIMENTAL STUDIES OF HIGH-PRESSURE CRYOGENIC FLAMES ON THE MASCOTTE FACILITY, Combustion Science and Technology, vol.23, issue.1-3, pp.101-128, 2006.
DOI : 10.2514/2.5344

I. Care and M. Ledoux, Study of an airblast coaxial atomizer. Experiments and modelisation, pp.763-770, 1991.

E. Bodèle, I. Gökalp, S. Zurbach, and D. Et-saucereau, Modeling of the Break-Up of Liquid Oxygen Droplets for Application in a Cryogenic Rocket Engine Simulation Code, 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, pp.2002-4031, 2002.
DOI : 10.2514/6.2002-4031

M. Pourouchottamane, Modélisation des brouillards denses pour la combustion cryotechnique, Thèse de doctorat, 2002.

N. Meyers, A. W. Cook, J. J. Riley, and G. Kosaly, Modélisation de la combustion cryotechnique avec prise en compte de l'atomisation primaire du jet d'oxygène liquideA laminar ?amelet approach to subgrid-scale chemistry in turbulent ?ows, Thèse de doctorat, pp.332-341, 1997.