by Shamsul Qamar, Gerald Warnecke.

**Series:** 2003-11, Preprints

- MSC:
- 65M99 None of the above, but in this section
- 65Y20 Complexity and performance of numerical algorithms

**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

**Keywords:**

hyperbolic systems, multicomponent flows, central schemes, high order accuracy.