摘要
主要研究俯仰激励下三维液体大幅晃动问题,将任意Lagrange-Euler法(arbitrary Lagrange-Euler,ALE)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和分步有限元计算格式,采用ALE分步有限元方法对圆筒形贮腔中的液体大幅晃动进行了数值模拟计算.得到了波高、晃动力及晃动力矩等晃动特性的时间变化历程,并对结果进行了分析,揭示了俯仰激励下三维液体大幅晃动问题的非线性现象.
Three dimensional large amplitude liquid sloshing in a cylindrical open tank under pitching excitation is studied in this paper. Firstly, the kinematics of the 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. Lastly, the numerical simulation of large amplitude sloshing of the liquid in cylindrical tank is carried out. The computed water elevation history, the computed sloshing force history, the computed sloshing moment history and the computed free surface in different time are obtained. Numerical results are also analyzed in this paper.
出处
《力学学报》
EI
CSCD
北大核心
2005年第2期199-203,共5页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金资助项目(10272022
10172048)
关键词
俯仰激励
数值模拟
有限元方法
三维液体大幅晃动
有限元
pitching excitation, numerical simulation, finite element method, large amplitude liquid sloshing
