Simulation of multicomponent flows using high order central schemes

Abstract

This paper is concerned with numerical methods for the conservative extension of the classical Euler equations to multicomponent flows. We use high-resolution central schemes to solve these equations. The equilibrium states for each component are coupled in space and time to have a common temperature and velocity. Usually conservative Euler solvers for the gas mixtures produces nonphysical oscillations near contact discontinuities, if the temperature and the ratio of specific heats both are not constant there. However in the schemes considered here the oscillations near the interfaces are negligible. The schemes also guarantee the exact mass conservation for each component and the exact conservation of total momentum and energy in the whole particle system. The central schemes are robust, reliable, compact and easy to implement. Several one- and two-dimensional numerical test cases are included in this paper, which validates the application of these schemes to multicomponent flows.