A discontinuity-capturing methodology for two-phase inviscid compressible flow

Abstract

The explicit filtering approach is applied to the quasi-conservative five-equation model of compressible two-phase flows to capture the interface between each fluid and a shock wave. The basic idea of the present filter is to combine a low-order linear filter with a high-order one via a proper discontinuity sensor and optimum linear weights. The capability of the proposed filter in capturing the contact discontinuity and damping the grid-to-grid oscillations is analysed. Various one-dimensional and two-dimensional test cases are performed, namely the interface advection of gas-gas flow, the shock-interface interaction, the gas-liquid Riemann problem, and the inviscid shock-bubble interaction. The numerical results reveal that the present filtering method can accurately capture the propagation of the shock waves and interfaces. Additionally, it produces less spurious oscillations compared with the existing 2nd-order discontinuity-capturing filter.