Numerical investigation of an interaction between shock waves and bubble in a compressible multiphase flow using a diffuse interface method

Abstract

The shock-bubble interaction in a compressible multiphase flow was investigated using a diffuse interface method (DIM) consisting of seven equations. To achieve detailed flow structures and mass transfer information, high-order numerical schemes, including the fifth-order MLP and a modified HLLC Riemann solver, were implemented. The numerical methods were verified via a flow structure comparison of the high-pressure water and low-pressure air shock tubes. A two-dimensional air-helium shock-bubble interaction at the incident shock wave condition (Mach number 1.22) was numerically solved and verified using the experimental results. A very detailed deformation was observed, so unsteady shock patterns such as the incident, transmitted, and reflected shocks could be identified. In addition, the air–water shock-bubble interaction at the same Mach number condition (1.22) was analyzed via the observation of detailed flow structures such as the reflection and transmitted shock inside and outside of the water bubble.