A comparison of theoretical investigation and numerical simulation of a single bubble oscillation is carried out in this paper. The theoretical research is based on solving Rayleigh-Plesset (R-P) equation and Keller-Miksis (K-M) equation using Runge-Kutta method. The numerical method focuses on the two discrete methods in the volume of fluid (VOF) method, geometric reconstruction (GR) and modified high resolution interface capturing (MHRIC). The results show that the interface captured by MHRIC in the collapse stage is more stable, and the evolution of bubble radius agrees better with the theoretical solution. The R-P equation and K-M equation, which omit the effect of the energy equation, have limitations when the bubble collapses under ultra-high pressure.

本文对单个气泡振荡的理论研究和数值模拟进行了比较。理论研究基于使用Runge-Kutta方法求解Rayleigh-Plesset（RP）方程和Keller-Miksis（KM）方程。数值方法侧重于流体体积（VOF）方法中的两种离散方法，几何重建（GR）和修正的高分辨率界面捕获（MHRIC）。结果表明，MHRIC在坍塌阶段捕获的界面更加稳定，气泡半径的演变与理论解的吻合较好。RP方程和KM方程忽略了能量方程的影响，当气泡在超高压下坍塌时有局限性。