摘要
主要讨论三维液体非线性晃动问题 。将ALE（任意的拉格朗日-欧拉）运动学描述引人到Navier-Stokes方程的分步有限元计算格式中;在时间域上采用分步离散方法中的速度修正格式,利用Galerkin加权余量方法得到了系统的有限元离散方程;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;模拟了三维液体的非线性晃动问题,得到了一系列三维液体非线性晃动的复杂现象.进一步模拟了考虑表面张力效应以及在微重力环境下三维液体的非线性晃动,揭示了考虑表面张力效应以及在微重力环境下液体非线性晃动的重要特征.井将所得结论与现有的实验结果进行了比较.从而证实了该方法的有效性与正确性.
The large amplitude liquid sloshing under gravity environment or under low-gravity environment have been studied numerically in this paper. The investigation of these problems is an important work with engineering practical value and theoretical meaning in the dynamics research of the liquid-filled system.Firstly, the kinematics of the Arbitrary Lagrange Euler (ALE) description is introduced and the fluid dynamics equations are revised in the ALE form. The numerical discreted equations of fractional steps finite element method are developed by Galerkin weighted residual method. The numerical simulation of large amplitude sloshing of the liquid under gravity environment in cylindrical tank is carried out. The computed water elevation history at the tank wall and the force history are obtained. Through comparing the numerical results with experiments, the efficiency of fractional steps ALE finite element method is confirmed.Secondly, the boundary condition about free-surface tension is represented in the form of weak integration. The formulation to calculate the free-surface tension is presented. Three-dimensional large amplitude liquid sloshing under low gravity environment in a cylindrical tank is simulated and some important nonlinear characteristics of three-dimensional nonlinear liquid sloshing are obtained. From the numerical results, it is concluded the character of nonlinear sloshing of the liquid under low-gravity environment is much different from that of the liquid sloshing under gravity environment. The numerical results are compared with experimental results and the effectiveness of the method conducted in this paper is demonstrated.
出处
《力学学报》
EI
CSCD
北大核心
2002年第6期949-955,共7页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10172048)资助项目。
