微重环境中三维液体非线性晃动的数值模拟  

Simulation of Three-dimensional Liquid Nonlinear Sloshing under Low Gravity Environment

作　　者：岳宝增[1] 刘延柱[1] 王照林[2] 

机构地区：[1]上海交通大学工程力学系,上海200030 [2]清华大学工程力学系,北京100084

出　　处：《力学季刊》2000年第4期432-436,共5页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(19782003);上海市科技发展(98JC14032)基金;中国博士后基金

摘　　要：将ALE(任意的拉格朗日-欧拉)运动学描述关系引入到Navier-Stokes方程中,在时间域上采用分步离散方法中的速度修正格式,利用Galerkin加权余量方法推导了系统的有限元数值离散方程;推导了考虑表面张力效应时有限元边界条件的弱积分形式。模拟了考虑表面张力情况下圆筒形贮腔中液体的非线性晃动,揭示了考虑表面张力效应时液体非线性晃动的重要特征。The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the finite element fractional step method. The corresponding discrete numerical equations are developed by Galerkin weighted residual method afterwards. The boundary condition about free-surface tension is represented in the form of weak integration. Three-dimensional large amplitude liquid sloshing in a cylindrical tank is simulated and some important nonlinear characteristics of three-dimensional nonlinear liquid sloshing are obtained.

关 键 词：表面张力 液体晃动 数值模拟 微重环境 航天器 非线性 

分 类 号：V412.42[航空宇航科学与技术—航空宇航推进理论与工程]