Non-oscillatory central differencing for hyperbolic conservation laws
Journal of Computational Physics
Viscous shock profiles and primitive formulations
SIAM Journal on Numerical Analysis
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
Correction of conservative Euler solvers for gas mixtures
Journal of Computational Physics
BGK-based scheme for multicomponent flow calculations
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
SIAM Journal on Scientific Computing
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A gas-kinetic scheme for multimaterial flows and its application in chemical reaction
A gas-kinetic scheme for multimaterial flows and its application in chemical reaction
Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability
Gas evolution dynamics in Godunov-type schemes and analysis of numerical shock instability
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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.