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力学与实践 ›› 2004, Vol. 26 ›› Issue (5): 0-0.doi: 10.6052/1000-0992-2003-299

• 应用研究 •    

俯仰激励下液体大幅晃动问题研究

岳宝增 彭武   

  1. 北京理工大学理学院力学系 北京理工大学
  • 收稿日期:2003-07-10 修回日期:2004-01-14 出版日期:2004-10-10 发布日期:2004-10-10

LIQUID SLOSHING OF LARGE AMPLITUDE IN

  • Received:2003-07-10 Revised:2004-01-14 Online:2004-10-10 Published:2004-10-10

摘要: 主要研究俯仰激励下液体大幅晃动问题,将ALE(arbitrary Lagrange-Euler)运动学描述引入到Navier-Stokes方程中,推导了俯仰激励下液体大幅晃 动数值模拟计算公式,并利用Galerkin加权余量法推导了有限元数值离散方程,采用ALE 有限元方法对方形贮腔中的液体大幅晃动进行了数值模拟计算,对结果进行了比较分析,揭 示了俯仰激励下液体大幅晃动问题的非线性现象.

关键词: 俯仰激励, 数值模拟, 有限元, 大幅晃动

Abstract: Large-scale amplitude liquid sloshing in a rectangular open tank under a pitching excitation is studied in this paper. Firstly, the kinematics of the ALE (arbitrary Lagrange-Euler) description is introduced and the Navier-Stokes equations of fluid are revised in the ALE form. The numerical discreted equations of fractional step finite element method are developed by using Galerkin weighted residual method. The numerical simulation of large amplitude sloshing of the liquid in a rectangular tank is carried out. The computed water elevation history is obtained. Through comparing the numerical results with experiments, the efficiency of fractional step ALE finite element method is confirmed.

Key words: pitching excitation, numerical simulation, finite