中文摘要：

基于Level Set方法发展了一种高分辨率的求解气液相界面迁移特性的数值方法。通过三步RungeKutta Crank-Nicholson投影方法求解流场,Level Set方法捕捉气液交界面位置。在验证算法的捕捉性能的基础上,研究了气泡在水中上升过程的变形以及运动特性。分析结果显示气泡上升过程中的变形是气泡顶部/底部压差、两侧涡及表面张力综合作用的结果;气泡在接近壁面时由于两侧不对称涡及壁面排挤作用的影响,上升过程不断向中心区域靠近并伴随有逆时针旋转;气泡初始位置距壁面越近,壁面的影响越显著。

英文摘要：

Based on level set method,a high resolution numerical method was developed to study the migration characteristics of gas-liquid interface. Three step Runge-Kutta Crank-Nicholson projection method was used to solve the Navier-Stokes equations. Level set method was applied to capturing the phase interface between air and water. Zalesak＇s problem was solved to validate the numerical method. The numerical results of bubble rising in water show that the deformation of bubble during the rising process is subject to（ 1） the pressure difference between the top and bottom of bubble,（ 2） the vortex,and（ 3） surface tension. When close to the wall,due to the wall repulsion and the asymmetric vortex,the deformed bubble moves to the centerline with clockwise rotation. The closer to the wall,the wall effect on the bubble will be more significant.