Comparison of Boundary Integral and Volume-of-Fluid methods for compressible bubble dynamics

The Boundary Integral Method (BIM) has been widely applied to simulate oscillating bubbles, for its high efficiency and accuracy. A conventional BIM assumes the fluid surrounding bubble be inviscid incompressible. Wang & Blake (J. Fluid Mech., 659, 2010, 191–224) proposed an improved model bubbles in a weakly compressible flow, which is referred as CBIM. In this study, all-Mach method (AMM) implemented free software program Basilisk simulation of multiphase flows, using geometric Volume-of-Fluid (VoF), employed study estimate accuracy CBIM at different Mach numbers. First, spherical bubble, extended Rayleigh-Plesset equation, AMM give very close results when Ma?0.3. However, deviation between these three schemes gradually becomes evident Ma increases from 0.3 0.6. Second, nonspherical deformation wall, obtained show many similarities, including evolution morphology, jet impact velocity, pressure on wall. Apart liquid compressibility, gas inertia/density found another factor that may affect applicability addition, we compare against experiment spark-generated cavitation compressibility play vital role. From perspective engineering applications, can reproduce main features dynamics first cycle if initial conditions are set properly. new findings provide reference research both fundamental problems.