Efficient and Accurate Conservative Schemes for Homogeneous Equilibrium Two-Phase Flow Computations

Abstract

For efficient and accurate computations of compressible/incompressible gas-liquid two-phase flows, the two conservative schemes, named AUSMPW+ and RoeM, are extended to two-phase flows at all speeds. In order to maintain the merits of these schemes even in two-phase flows, a new shock discontinuity sensing term suitably scaled for two-phase flows is derived. Also, Multigrid and LU-SGS techniques are implemented for more efficient computation, after being modified adequate for two-phase flows. The numerical results show the accurate and robust behavior of the proposed schemes for all speed two-phase flows.