中文摘要：

本文假设气泡运动过程中流场是无旋、不可压缩的理想流体，运用势流理论导出气泡边界面运动的控制方程，建立气泡动力学模型，用边界积分法求解得到气泡等边界的变形及位置。在环状气泡阶段，本文在前人研究成果的基础上分别建立了轴对称涡面模型、轴对称涡环模型以及三维涡环气泡模型。对比不同模型的优缺点及其适用范围，总结了环状气泡模型建立的详细步骤及其必须注意的关键技术，并开发了相应的程序。运用不同模型模拟重力场中气泡的运动，并进行讨论。最后计算了流场中滞后流的速度以及压力随时间的变化，得到一些有规律性的曲线，旨在为相关环状气泡动态特性研究提供参考。

英文摘要：

The dynamics of a toroidal bubble in an inviscid, irrotational, and incompressible fluid is studied. The governing equation for the motion of the bubble boundary is derived with the framework of the potential flow theory and the dynamic model of the bubble is established. The deformation and location of the bubble and its boundary are obtained by the boundary integral method. The models of axisymmetric vortex sheet, axisymmetric vortex ring and three-dimensional vortex ring bubble are built for the toroidal phase on the basis of the previous results. The advantages and disadvantages and the appliance range of different models are compared. The detailed procedure of modeling is concluded, including the key technique which should to be paid attention to. Relevant program is developed. The motion of the bubble in gravitational field is simulated with different models. Finally the velocity and pressure of the after flow along with time in fluid field are calculated, and some curves with regularity are obtained. This paper aims to provide a reference for the relevant research on the dynamics of toroidal bubbles.