On the Euler equations of incompressible perfect fluids, Journal of Functional Analysis, vol.20, issue.1, pp.32-43, 1975. ,
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. ,
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. ,
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. ,
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. ,
Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations, J Comput Phys, vol.304, pp.72-108, 2016. ,
Robust HLLC Riemann solver with weighted average flux scheme for strong shock, J Comput Phys, vol.228, issue.20, pp.7634-7676, 2009. ,
Approximate Riemann solvers, parameter vectors, and difference schemes, J Comput Phys, vol.43, issue.2, pp.357-72, 1981. ,
Ansys fluent, Acad Res Release, vol.14, pp.357-72, 2015. ,
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
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
Incompressible limit for a viscous compressible fluid, J Math Pures Appl, vol.77, issue.6, p.585, 1998. ,
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
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. ,
MHD intermediate shock discontinuities. Part 1. Rankine?Hugoniot conditions, Journal of Plasma Physics, vol.42, issue.2, pp.299-319, 1989. ,
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. ,
Systems of conservation laws of mixed type, Journal of Differential Equations, vol.37, issue.1, pp.70-88, 1980. ,
An interesting class of quasilinear systems, SovMathDokl, vol.2, pp.947-956, 1961. ,
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. ,
A primitive variable finite element formulation for inviscid, compressible flow, J Comput Phys, vol.33, issue.3, pp.301-313, 1979. ,
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems, Acta Numer, vol.12, pp.451-512, 2003. ,
Units, dimensionnal analysis and physical. Van Nostrand Reinhold Company ,
An industrially applicable solver for compressible, turbulent flows. Delph University of Technology, 1998. ,
In: An introduction to recent developments in theory and numerics for conservation laws, pp.195-285, 1999. ,
Simplified discontinuous Galerkin methods for systems of conservation laws with convex extension, Discontinuous Galerkin methods, vol.20, pp.63-75 ,
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
Mcanique des fluides. Dunod, 1995. ,