Numerical Simulation of Homogeneous Equilibrium Two-Phase Flows with Shock-Stable Schemes

Abstract

In this paper, we introduce the two-phase versions of shock-stable schemes, RoeM and AUSMPW+, for the computation of compressible gas-liquid two-phase mixture flows. From the mixture EOS, we derived and evaluated a new shock discontinuity sensing term, which is commonly used in RoeM and AUSMPW+ for the stable numerical flux calculation. And the developed two-phase RoeM and AUSMPW+ are preconditioned for the simulation of all Mach number flows, which are generally of interest for many gas-liquid two-phase applications due to the large variation in a speed of sound. Developed schemes are applied on several liquid-gas, large property discrepancy two-phase test problems from highly compressible to nearly incompressible flow conditions, and the numerical results show their accurate and robust behavior for all speed two-phase flows.