SIMPLE CONSERVATIVE FLUX SPLITTING FOR MULTI-COMPONENT FLOW CALCULATIONS

Abstract

In this study, conservative flux splitting schemes AUSMD/V are presented for computing the dynamics of multicomponent flow based on a volume fraction model. Numerical model is not only demonstrated to maintain pressure equilibrium over contact discontinuities using conservative pressure update, but also AUSMD/V are shown to enhance pressure being continuous across the contact discontinuity by means of a blend function of the ratio of pressure to density. In addition, these schemes perfectly conserve mass, momentum, energy, and volume fraction in each grid cell. The benchmark tests involve a two-component shock tube, a two-phase gas-liquid Riemann problem, and a shock-contact interaction problem. Numerical results show that the current conservative approach has provided an alternative to solve flow behaviors near material interfaces correctly, instead of the previous quasi-conservative approaches.