Some recent Finite Volume schemes to compute Euler equations using real gas EOS

International audienceThis paper deals with the resolution by Finite Volume methods of Eu-ler equations in one space dimension, with real gas state laws (namely perfect gas EOS, Tammann EOS and Van Der Waals EOS). All tests are of unsteady shock tube type, in order to examine a wide class of solutions, involving Sod shock tube, stationary shock wave, simple contact disconti-nuity, occurence of vacuum by double rarefaction wave, propagation of a 1-rarefaction wave over \vacuum", ... Most of methods computed herein are approximate Godunov solvers : VFRoe, VFFC, VFRoe ncv (; u; p) and PVRS. The energy relaxation method with VFRoe ncv (; u; p) and Rusanov scheme have been investigated too. Qualitative results are presented or commented for all test cases and numerical rates of convergence on some test cases have been measured for rst and second order (Runge-Kutta 2 with MUSCL reconstruction) approximations. Note that rates are measured on solutions involving discontinuities, in order to estimate the loss of accuracy due to these discontinuities