俯仰激励下三维液体大幅晃动问题研究
Three dimensional large amplitude liquid sloshing under pitching excitation
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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.Abstract: Three dimensional large amplitude liquid sloshing in acyliindrical open tank under pitching excitation is studied in this paper.Firstly, the kinematics of the ALE description is introduced and the fluiddynamics equations are revised in the ALE form. The numerical discretedequations of fractional steps finite element method are developed byGalerkin weighted residual method. Lastly, the numerical simulation of largeamplitude sloshing of the liquid in cylindrical tank is carried out. Thecomputed water elevation history, the computed sloshing force history, thecomputed sloshing moment history and the computed free surface in differenttime are obtained. Numerical results are also analyzed in this paper.
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