KINETIC SCHEMES FOR EULER EQUATIONS OUT O F THERMOCHEMICAL EQUILIBRIUM

We present in this paper a class of Kinetic-Flux-Vector-Splitting sche mes for the multi-component Euler equations in thermochemical non-equi librium. This work resumes and generalizes the ideas of [8, 4, 7]. We prove that these schemes satisfy a discrete entropy inequality and, un der a CFL-like condition, maintain densities, internal energy, and vib rational energies non negative. Lastly, we present various 1D and 2D n umerical results to validate our approach and compare the various sche mes proposed.