High-Order Numerical Methods for Compressible Two-Phase Flows

Kozhanova, KseniaGoncalves, EricHoarau, YannickWe study the numerical methods to solve stiff two-phase flow problem which involves strong shock and expansion waves. In particular we focus the present study on high order reconstruction techniques coupled with HLLC and KNP numerical flux formulations associated to a four-equation model. These numerical methods are first tested on 1-D expansion tube case to investigate the accuracy of the schemes. The originality of our project is to construct a high-order numerical tool for solving the 2-D problem of two-phase shock-interface interaction with high density ratio between the phases. This paper presents the intermediate results with tests of low density ratio.