俯仰激励下液体大幅晃动问题研究  

LIQUID SLOSHING OF LARGE AMPLITUDE IN A CONTAINER UNDER PITCHING EXCITATION

作　　者：岳宝增[1] 彭武[1] 

机构地区：[1]北京理工大学理学院力学系,北京100081

出　　处：《力学与实践》2004年第5期49-52,共4页Mechanics in Engineering

基　　金：国家自然科学基金项目(10272022)资助

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Nayier-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.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 el-ement, 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.

关 键 词：液体 ALE 数值模拟计算 推导 NAVIER-STOKES方程 加权余量法 非线性现象 俯仰 方形 描述 

分 类 号：O344[理学—固体力学] TN911.2[理学—力学]