Implementation of velocity and pressure non-equilibrium in gas-liquid two-phase flow computations

Abstract

A set of fully hyperbolic and fully conservative mixture conservation laws that treat the relative motion in gas-liquid two-phase flows are presented. These laws are based on compressible gas-liquid two-phase flow with velocity and pressure non-equilibrium. The resulting theoretical model accounts for the interaction between the gas and liquid phases with more reasonable physical meaning. Within this framework, the distinctness of the model conservation laws enables a straightforward extension and application of single-phase fluid dynamics numerical methods. Computations for a set of rarefaction waves test problem show that the interfacial friction source term has a strong influence on both the flow parameters and the wave structure in non-equilibrium two-phase flows.