摘要
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。
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.
出处
《应用力学学报》
CAS
CSCD
北大核心
1996年第4期1-7,共7页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
气泡动力学
边界积分
有限元
水流
bubble dynamics, the boundary integral equation method, high order finite element representation,potential flow.