关于空泡动力学方程精确度的分析

Analysis on the Accuracy of Bubble Dynamic Equations

本文通过严格的理论推导，对３个泡壁运动方程的精确度及适用范围作了分析比较。结果表明，这３个方程都不适用于泡壁运动马赫数较大的强非线性情形，提出了可以用于分析鉴别其他各类泡壁运动方程的新方法，可在实例数值计算中判断泡壁运动方程精确度的方法。

Bubble dynamics is concerned with a complicated nonlinear problem.Variousbubble wall motion equations had been proposed to simplify the solving process ,inwhich the Rayleigh's ,Trilliang's,Gilmore's cquations are typical.The accuracy and ap-plicable extent of the above three equations are analyzed and compared with each otherby theoretical derivation. Results show that these equations are not suitable for thecase of strong nonlinearity at large mach number and Rayleigh’s equation is failed inbubble sound propagation.The new method for identifying the accuracy of bubble wallmotion equations suggested in this paper can be used to analyze other types of bubblewall motion equations.The method for identifying the accuracy in numerical calcula-tions is also proposed.