2D Numerical Modeling of Compressible Two-Phase Flows Using Hyperbolic Two Pressure Two-Fluid Model

Numerical modeling of compressible two-phase flow is a challenging and important subject in practical cases and research problems. In these problems, mutual effect of shock wave interaction creates a discontinuity in fluid properties and interface of two fluids as a second discontinuity lead to some difficulties in numerical approximations and estimating an accurate interface during hydro-dynamical capturing process. The main objective of this research is accurate capturing of the interface and numerical study of shock wave during gas-gas and gas-liquid interface of two-phase flows. For this purposes HLLC Riemann solver and Godunov numerical method was used for a hyperbolic two-pressure two-fluid model where programming was conducted in two-space dimensional with second order accuracy. Various one and two-dimensional problems were simulated such as compression and expansion shock tubes, shock wave interaction with R22/air bubble, underwater explosion and hypersonic shock with M=6 interaction with a cylindrical water column. The numerical results obtained in this attempt exhibit very good agreement with experimental results, as well as previous numerical results presented by other researchers based on other numerical methods.