文章采用边界积分方法模拟三维水下气泡的动力特性,详细阐述气泡计算的数学模型和数值实施过程,探究了三种不同浮力参数情况下(无重力、弱浮力、强浮力)气泡的演变情况。计算结果表明,在不同的浮力参数下,气泡形状和射流特点有着显著的区别,射流形成和发展与重力有着密切的联系。文中计算了两气泡在不同距离和不同强度参数下的相互作用的特点,为气泡动力特性的研究提供了参考。
Abstract:Dynamic characteristics of three-dimensional underwater bubbles are simulated using boundary integral method. The mathematical model and numerical implementation are presented in detail. The evo- lution of the two bubbles under three different buoyancy parameters (no gravity, weak buoyancy parameter and strong buoyancy parameter) was investigated. The calculated results indicate that the bubble shapes and jet characteristics are very different under different buoyancy parameters. The jet formation and development have very close relationship with gravity effect. The interactions of two bubbles under different distances and strength parameters are also simulated. This study could provide a reference to the study of bubble dynamics.