水平均流中细管排放气泡的三维数值模拟

在液体为无粘不可压，流动有势和气体遵循完全气体绝热关系的假定下，本文应用边界积分方程方法数值模拟了水平均流中垂直细管排放气泡的三维动力学问题，边界采用高阶有限元表达。文中介绍了有关泡面法向矢量、切向速度、曲率和接触线等的计算技术。与已知解的比较，表明了这一数值方法的高精度和优越性。算例显示了水平均流对于气泡形状和体积的影响

3 D Numerical Simulation on the Formation of a Gas Bubble Through a Needle Submerged in a Horizontal Liquid Flow

On the assumption that the liquid flow is inviscid, imcompressible, potential and the gas obeys the adiabatic rule, the 3 D dynamics of the formation of a gas bubble through a needle submerged in a horizontal liquid flow is simulated numerically. The problem is solved by using the boundary integral equation method with the boundary represented by high order finite element. Numerical techniques related to the calculation of normal vector, tangential velocity, curvature and contact line are explained in detail. The comparison of the present results with some known solutions shows that the 3 D numerical method has high accuracy and advantage, The effects of the horizontal liquid flow on the bubble shape and volume are illustrated with some examples.