Abstract: It concerns the extension of high resolution kinetic flux-vector splitting (KFVS) finite volume methods.In this new method,a suitable modification of Maxwellian is proposed to recover the Euler equations with an additional conservative equation.Based on the well-known connection between Euler equations and Boltzmann equations,a class of high resolution KFVS finite volume methods are presented to solve Euler equations governing multicomponent flows. This method does not solve any Riemann problems and additional nonconservative equation satisfied by pressure,and needs not to add any nonconservative corrections.The numerical solutions are oscillation-free near material fronts,and produce correct shock speeds.

Key words: Euler equations, flux vector splitting, finite volume method, multicomponent flows