| 岳宝增.贮腔类三维自由液面动力学问题数值研究[J].计算力学学报,2006,23(6):728~732 |
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| 贮腔类三维自由液面动力学问题数值研究 |
| Numerical study of the three-dimensional free surface in cylindrical tank |
| 修订日期：2004-11-20 |
| DOI：10.7511/jslx20066136 |
| 中文关键词: 自由液面 有限元 表面张力 接触角 |
| 英文关键词:free surface,finite-element method,surface tension,contact angle |
| 基金项目:国家自然科学基金 |
| 岳宝增 |
| 北京理工大学理学院力学系,北京100081 |
| 摘要点击次数: 1464 |
| 全文下载次数: 8 |
| 中文摘要: |
| 讨论了贮腔类三维自由液面动力学问题的数值研究，将任意的拉格朗日-欧拉运动学描述关系引入到系统的控制方程中，采用任意的拉格朗日-欧拉描述跟踪自由液面，推导了自由面上结点的法向矢量计算公式。采用Galerkin余量法推导了Navier-Stokes方程的空间离散有限元方程，采用三维自由液面上微分几何理论推导了表面张力计算公式。数值研究中考虑了接触角效应，最后进行了三维数值算例分析。 |
| 英文摘要: |
| The dynamis problem of contained three-dimensional liquid free surface is numerically studied.The ALE(Arbitrary Lagrange-Euler) kinematic description is introduced into the governing equilibrium equations so that the liquid free surface can be tracked by using ALE description method.The computational procedure to determine the normal vector on free surface is presented.The discrete numerical equations of finite element method are developed by Galerkin weighted residual method.The boundary condition about free-surface tension is represented in the weak integration form which can be computed by the differential geometry method derived in this paper.The effect of contact angle is also incorporated in the numerical algorithm.The computer program compiled can be used to simulate the three-dimensional free surface dynamics problems. Finally,the numerical computations have been performed and the comparison between computed results and analytical results have validated the effectiveness of the method. The results of this study provide us the fundamental understandings of the dynamics of the liquid free surface on which the surface tension and contact angle boundary conditions are taken into account. |
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