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How to preserve the mass fractions positivity when computing compressible multi-component flows

1991; Elsevier BV; Volume: 95; Issue: 1 Linguagem: Inglês

10.1016/0021-9991(91)90253-h

1090-2716

Bernard Larrouturou,

Fluid Dynamics and Turbulent Flows

We are interested in the numerical investigation of the compressible flow of a gaseous mixture. Considering a hyperbolic system including the Euler equations for the mixture and a mass conservation equation for each species, we propose a new approximation scheme for the convective term of the species equations. This approximation relies on some properties of the exact solution of the Riemann problem for the multi-component system, and applies when an upwind Godunov-type scheme is used for the Euler equations. Its main interest lies in the fact that it preserves the positivity and monotonicity of the mass fractions of all species.