Advection upwinding splitting method to solve a compressible two-fluid model

In this study, the advection upwinding splitting method (AUSM) is modified for the resolution of two-phase mixtures with interfaces. The compressible two-fluid model proposed by Saurel and Abgrall is chosen as the model equations. Dense and dilute phases are described in terms of the volume fraction and equations of state to represent multi-phase mixtures. Test cases involving an air-water shock tube, water faucet, and dilute particulate turbulent flows through a 90 degrees bend are used to verify the current work. It is shown that the AUSM based on flux differences (AUSMD) contains the mechanism to correctly capture the contact discontinuity and interfaces between phases. In addition, a successful application to dilute particulate turbulence flows by the AUSMD is demonstrated. Copyright (C) 2001 John Wiley & Sons, Ltd.