R. Temam, On the Euler equations of incompressible perfect fluids, Journal of Functional Analysis, vol.20, issue.1, pp.32-43, 1975.

T. J. Barth, In: An introduction to recent developments in theory and numerics for conservation laws (Freiburg/Littenweiler, 1997), Lect. Notes Comput. Sci. Eng, vol.5, pp.195-285, 1999.

S. W. Bova and G. F. Carey, An entropy variable formulation and applications for the two-dimensional shallow water equations, Int J Numer Methods Fluids, vol.23, issue.1, pp.29-46, 1996.

G. Hauke and T. J. Hughes, A comparative study of different sets of variables for solving compressible and incompressible flows, Computer Methods in Applied Mechanics and Engineering, vol.153, issue.1-2, pp.1-44, 1998.

L. Pesch and J. Van-der-vegt, A discontinuous Galerkin finite element discretization of the Euler equations for compressible and incompressible fluids, J Comput Phys, vol.227, issue.11, pp.5426-5472, 2008.

A. R. Winters and G. J. Gassner, Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations, J Comput Phys, vol.304, pp.72-108, 2016.

S. D. Kim, B. J. Lee, H. J. Lee, and I. Jeung, Robust HLLC Riemann solver with weighted average flux scheme for strong shock, J Comput Phys, vol.228, issue.20, pp.7634-7676, 2009.

P. L. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes, J Comput Phys, vol.43, issue.2, pp.357-72, 1981.

A. Fluent, Ansys fluent, Acad Res Release, vol.14, pp.357-72, 2015.

H. Guillard and C. Viozat, On the behaviour of upwind schemes in the low Mach number limit, Comput Fluids, vol.28, issue.1, pp.63-86, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00871725

H. Guillard and A. Murrone, On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes, Computers & Fluids, vol.33, issue.4, pp.655-675, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00072433

P. Lions and N. Masmoudi, Incompressible limit for a viscous compressible fluid, J Math Pures Appl, vol.77, issue.6, p.585, 1998.

H. Hoteit, P. Ackerer, R. Mosé, J. Erhel, and P. B. , New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes, Int J Numer Methods Eng, vol.61, issue.14, pp.2566-93, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00072097

S. Schochet, The compressible Euler equations in a bounded domain: existence of solutions and the incompressible limit, Commun Math Phys, vol.104, issue.1, pp.49-75, 1986.

C. F. Kennel, R. D. Blandford, and P. Coppi, MHD intermediate shock discontinuities. Part 1. Rankine?Hugoniot conditions, Journal of Plasma Physics, vol.42, issue.2, pp.299-319, 1989.

L. Corrias, Fast Legendre?Fenchel Transform and Applications to Hamilton?Jacobi Equations and Conservation Laws, SIAM Journal on Numerical Analysis, vol.33, issue.4, pp.1534-1558, 1996.

M. S. Mock, Systems of conservation laws of mixed type, Journal of Differential Equations, vol.37, issue.1, pp.70-88, 1980.

S. K. Godunov, An interesting class of quasilinear systems, SovMathDokl, vol.2, pp.947-956, 1961.

S. K. Godunov, The problem of a generalized solution in the theory of quasilinear equations and in gas dynamics, Russian Math Surv, vol.17, issue.3, p.145, 1962.

C. Fletcher, A primitive variable finite element formulation for inviscid, compressible flow, J Comput Phys, vol.33, issue.3, pp.301-313, 1979.

E. Tadmor, Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems, Acta Numer, vol.12, pp.451-512, 2003.

B. S. Massey, Units, dimensionnal analysis and physical. Van Nostrand Reinhold Company

J. Kok, An industrially applicable solver for compressible, turbulent flows. Delph University of Technology, 1998.

T. J. Barth, In: An introduction to recent developments in theory and numerics for conservation laws, pp.195-285, 1999.

T. J. Barth, Simplified discontinuous Galerkin methods for systems of conservation laws with convex extension, Discontinuous Galerkin methods, vol.20, pp.63-75

E. Schall and N. Chauchat, Implicit method and slope limiter in AHMR procedure for high order discontinuous Galerkin methods for compressible flows, Commun Nonlinear Sci Numer Simul, vol.72, pp.371-91, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02132409

S. Candel, Mcanique des fluides. Dunod, 1995.