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球形贮箱中三维液体大幅晃动数值模拟
引用本文:岳宝增,唐勇.球形贮箱中三维液体大幅晃动数值模拟[J].宇航学报,2016,37(12):1405-1410.
作者姓名:岳宝增  唐勇
作者单位:北京理工大学宇航学院,北京100081
基金项目:国家自然科学基金(11472041,11532002)
摘    要:提出一种新颖有效的网格移动算法,使用任意拉格朗日-欧拉(ALE)有限元方法对球形贮箱中三维液体大幅晃动问题进行数值模拟。对接触线网格及自由液面网格指定其运动轨道,对湿壁面网格采用代数更新算法,对域内网格采用Laplace方程对网格速度进行平滑。同时采用基于特征线的时间分裂(CBS)格式来处理对流效应引起的数值振荡。数值计算结果与已有试验数据进行了对比,两者吻合良好,证明了网格移动算法与计算格式的可行性与准确性。

关 键 词:任意拉格朗日-欧拉(ALE)  网格移动算法  球形贮箱  液体晃动  自由液面  
收稿时间:2016-09-30

Numerical Simulation of Three Dimensional Large Amplitude Liquid Sloshing in Spherical Containers
YUE Bao zeng,TANG Yong.Numerical Simulation of Three Dimensional Large Amplitude Liquid Sloshing in Spherical Containers[J].Journal of Astronautics,2016,37(12):1405-1410.
Authors:YUE Bao zeng  TANG Yong
Affiliation:School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:Three dimensional large-amplitude liquid sloshing in the spherical containers is numerically simulated using arbitrary Lagrangian Eulerian (ALE) finite element method. A novel mesh moving algorithm is proposed to update the mesh. The mesh nodes on the free surface and contact line are restricted to move along the prescribed orbits, the nodes on the wet wall are moved by an algebraic mesh moving algorithm, and the interior nodal velocities are determined by solving the Laplace equation. Meanwhile the characteristic based split (CBS) scheme is adopted to deal with the numerical oscillations arising from the convection term. The numerical results agree well with the published experimental data, which shows that the proposed algorithm is feasible and effective.
Keywords:Arbitrary Lagrangian Eulerian (ALE)  Mesh moving algorithm  Spherical container  Liquid sloshing  Free liquid level  
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