T. Alazard, Low Mach Number Limit of the Full Navier-Stokes Equations, Archive for Rational Mechanics and Analysis, vol.180, issue.1, pp.1-73, 2006.
DOI : 10.1007/s00205-005-0393-2

URL : https://hal.archives-ouvertes.fr/hal-00153152

D. P. Babii, S. K. Godunov, V. T. Zhukov, and O. B. Feodoritova, On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics, Computational Mathematics and Mathematical Physics, vol.47, issue.3, pp.427-441, 2007.
DOI : 10.1134/S0965542507030086

T. J. Barth and D. C. Jespersten, The design and application of upwind schemes on unstructured meshes, 27th Aerospace Sciences Meeting, 1989.
DOI : 10.2514/6.1989-366

P. Birken and A. Meister, On Low Mach Number Preconditioning of Finite Volume Schemes, PAMM, vol.72, issue.1, pp.759-760, 2005.
DOI : 10.1002/pamm.200510354

B. Braconnier and B. Nkonga, An all-speed relaxation scheme for interface flows with surface tension, Journal of Computational Physics, vol.228, issue.16, pp.5722-5739, 2009.
DOI : 10.1016/j.jcp.2009.04.046

S. F. Davis, Simplified Second-Order Godunov-Type Methods, SIAM Journal on Scientific and Statistical Computing, vol.9, issue.3, pp.445-473, 1988.
DOI : 10.1137/0909030

D. G. Ebin, The Motion of Slightly Compressible Fluids Viewed as a Motion With Strong Constraining Force, The Annals of Mathematics, vol.105, issue.1, pp.141-200, 1977.
DOI : 10.2307/1971029

N. Favrie, S. L. Gavrilyuk, and R. Saurel, Solid???fluid diffuse interface model in cases of extreme deformations, Journal of Computational Physics, vol.228, issue.16, pp.6037-6077, 2009.
DOI : 10.1016/j.jcp.2009.05.015

R. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999.
DOI : 10.1006/jcph.1999.6236

J. Glimm, J. W. Grove, X. L. Li, K. M. Shyue, Q. Zhang et al., Three-Dimensional Front Tracking, SIAM Journal on Scientific Computing, vol.19, issue.3, pp.703-727, 1998.
DOI : 10.1137/S1064827595293600

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.569

H. Guillard and C. Viozat, On the behaviour of upwind schemes in the low mach number limit. Computers and Fluids, pp.63-86, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00871725

H. Guillard and C. Viozat, On the behaviour of upwind schemes in the low Mach number limit, Computers & Fluids, vol.28, issue.1, pp.63-86, 1999.
DOI : 10.1016/S0045-7930(98)00017-6

URL : https://hal.archives-ouvertes.fr/hal-00871725

F. Harlow and A. Amsden, Fluid dynamics, pp.1678-1712, 1971.

F. Harlow and A. Amsden, A numerical fluid dynamics calculation method for all flow speeds, Journal of Computational Physics, vol.8, issue.2, pp.197-213, 1971.
DOI : 10.1016/0021-9991(71)90002-7

A. Harten, P. D. Lax, and B. Van-leer, On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983.
DOI : 10.1137/1025002

C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, vol.39, issue.1, pp.201-255, 1981.
DOI : 10.1016/0021-9991(81)90145-5

D. Juric and G. Tryggvason, Computations of boiling flows, International Journal of Multiphase Flow, vol.24, issue.3, pp.387-410, 1998.
DOI : 10.1016/S0301-9322(97)00050-5

A. K. Kapila, R. Menikoff, J. B. Bdzil, S. F. Son, and D. S. Stewart, Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Physics of Fluids, vol.13, issue.10, pp.3002-3024, 2001.
DOI : 10.1063/1.1398042

S. Klainerman and A. Majda, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Communications on Pure and Applied Mathematics, vol.71, issue.4, pp.481-524, 1981.
DOI : 10.1002/cpa.3160340405

S. Kokh and F. Lagoutière, An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model, Journal of Computational Physics, vol.229, issue.8, pp.2773-2809, 2010.
DOI : 10.1016/j.jcp.2009.12.003

B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski, and G. Zanetti, Modelling Merging and Fragmentation in Multiphase Flows with SURFER, Journal of Computational Physics, vol.113, issue.1, pp.134-147, 1994.
DOI : 10.1006/jcph.1994.1123

D. Mavripilis, Revisiting the Least-Squares Procedure for Gradient Reconstruction on Unstructured Meshes, 16th AIAA Computational Fluid Dynamics Conference, p.3986, 2003.
DOI : 10.2514/6.2003-3986

T. Menard, S. Tanguy, and A. Berlemont, Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet, International Journal of Multiphase Flow, vol.33, issue.5, pp.510-524, 2007.
DOI : 10.1016/j.ijmultiphaseflow.2006.11.001

URL : https://hal.archives-ouvertes.fr/hal-00649785

R. Menikoff and B. J. Plohr, The Riemann problem for fluid flow of real materials, Reviews of Modern Physics, vol.61, issue.1, pp.75-130, 1989.
DOI : 10.1103/RevModPhys.61.75

G. Metivier and S. Schochet, The Incompressible Limit of the Non-Isentropic Euler Equations, Archive for Rational Mechanics and Analysis, vol.158, issue.1, pp.61-90, 2001.
DOI : 10.1007/PL00004241

O. , L. Métayer, J. Massoni, and R. Saurel, Élaboration des lois d'état d'un liquide et de sa vapeur pour les modèles d'écoulements diphasiques, French)), pp.265-276, 2004.

R. Fortes-patella, O. Coutier-delgosha, and J. L. Rebond, Evaluation of the turbulence model influence on the numerical simulations of unsteady cavitation, J. Fluid Engineering, vol.125, issue.1, pp.38-45, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00211202

G. Perigaud and R. Saurel, A compressible flow model with capillary effects, Journal of Computational Physics, vol.209, issue.1, pp.139-178, 2005.
DOI : 10.1016/j.jcp.2005.03.018

F. Petitpas, E. Franquet, R. Saurel, and O. L. Metayer, A relaxation-projection method for compressible flows. Part II: Artificial heat exchanges for multiphase shocks, Journal of Computational Physics, vol.225, issue.2, pp.2214-2248, 2007.
DOI : 10.1016/j.jcp.2007.03.014

F. Petitpas, J. Massoni, R. Saurel, E. Lapebie, and L. Munier, Diffuse interface model for high speed cavitating underwater systems, International Journal of Multiphase Flow, vol.35, issue.8, pp.747-759, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2009.03.011

F. Petitpas, R. Saurel, E. Franquet, and A. Chinnayya, Modelling detonation waves in condensed energetic materials: multiphase CJ conditions and multidimensional computations, Shock Waves, vol.22, issue.4, pp.377-401, 2009.
DOI : 10.1007/s00193-009-0217-7

Y. Saad, Numerical methods for large eigenvalue problems, 1992.
DOI : 10.1137/1.9781611970739

R. Saurel and R. Abgrall, A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows, Journal of Computational Physics, vol.150, issue.2, pp.425-467, 1999.
DOI : 10.1006/jcph.1999.6187

R. Saurel, E. Franquet, E. Daniel, and O. L. Metayer, A relaxation-projection method for compressible flows. Part I: The numerical equation of state for the Euler equations, Journal of Computational Physics, vol.223, issue.2, pp.822-845, 2007.
DOI : 10.1016/j.jcp.2006.10.004

R. Saurel, O. Le-metayer, J. Massoni, and S. Gavrilyuk, Shock jump relations for multiphase mixtures with stiff mechanical relaxation, Shock Waves, vol.56, issue.3, pp.209-232, 2007.
DOI : 10.1007/s00193-006-0065-7

R. Saurel, N. Favrie, F. Petitpas, M. Lallemand, and S. L. Gavrilyuk, Modelling dynamic and irreversible powder compaction, Journal of Fluid Mechanics, vol.30, pp.348-396, 2010.
DOI : 10.1016/j.jcp.2008.11.002

URL : https://hal.archives-ouvertes.fr/hal-01443539

R. Saurel, F. Petitpas, and R. A. Berry, Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, Journal of Computational Physics, vol.228, issue.5, pp.1678-1712, 2009.
DOI : 10.1016/j.jcp.2008.11.002

R. Saurel, F. Petitpas, and R. Abgrall, Modelling phase transition in metastable liquids: application to cavitating and flashing flows, Journal of Fluid Mechanics, vol.15, pp.313-350, 2008.
DOI : 10.1017/S0022112087003227

URL : https://hal.archives-ouvertes.fr/inria-00333908

S. Schochet, The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit, Communications in Mathematical Physics, vol.8, issue.1, pp.49-75, 1986.
DOI : 10.1007/BF01210792

R. Shukla, C. Pantano, and J. Freund, An interface capturing method for the simulation of multi-phase compressible flows, Journal of Computational Physics, vol.229, issue.19, pp.7411-7439, 2010.
DOI : 10.1016/j.jcp.2010.06.025

E. F. Toro, M. Spruce, and W. Speares, Restoration of the contact surface in the HLL-Riemann solver, Shock Waves, vol.54, issue.1, pp.25-34, 1994.
DOI : 10.1007/BF01414629

B. Van-leer, Towards the ultimate conservative difference scheme, V.A second order sequel to Godunov's method, J. Comput. Phys, vol.32, pp.445-473, 1979.