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Numerical study of three-dimensional free surface dynamics
Yue, BZ ; Wang, ZL
2010-05-10 ; 2010-05-10
关键词free surface surface tension numerical simulation finite element FINITE-ELEMENT-METHOD FLOWS Engineering, Mechanical Mechanics
中文摘要The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the control equation system. The ALE description method is used to track free surface. Accurate formulations for calculating the normal vector on the free surface are presented. The discrete numerical equations by finite element method are developed by Galerkin weighted residual method. The boundary condition about free-surface tension is represented in the form of weak integration that can be computed by a differential geometry method derived in the present paper. The effect of contact angle is incorporated in the numerical algorithm. Furthermore, the numerical computations are performed and the comparison between computational and analytical results validated the effectiveness of the method. The results of this paper provide a fundamental understandings of the dynamics of liquid free surfaces, in which the surface tension and contact angle boundary conditions are taken into account. Finally, numerical simulation of largescale amplitude sloshing of liquid in a cylindrical container is performed and a numerical analysis of the effect of an annular ring-shaped rigid damping baffle on liquid sloshing oscillations in a cylindrical tank is also carried out.
语种英语 ; 英语
出版者CHINESE JOURNAL MECHANICS PRESS ; BEIJING ; 15 ZHONG-GUAN-CUN ST, BEIJING 100080, PEOPLES R CHINA
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/22640]  
专题清华大学
推荐引用方式
GB/T 7714
Yue, BZ,Wang, ZL. Numerical study of three-dimensional free surface dynamics[J],2010, 2010.
APA Yue, BZ,&Wang, ZL.(2010).Numerical study of three-dimensional free surface dynamics..
MLA Yue, BZ,et al."Numerical study of three-dimensional free surface dynamics".(2010).
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