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本文讨论低重力环境下三维液体非线性晃动问题。采用ALE (任意的拉格朗日 欧拉 )运动学描述跟踪自由液面 ;对于ALE描述的Navier Stokes方程 ,在时间域上采用分步离散方法中的速度修正格式进行数值离散 ,在空间域上利用有限元方法进行数值离散 ;推导了考虑表面引力效应时有限元边界条件的弱积分形式 ;给出了表面张力的数值计算公式。模拟了考虑表面张力情况下圆筒型贮腔中液体的非线性晃动 ,并得到了贮腔壁面处自由液面位置变化的时间历程、作用在贮腔上的晃动力变化的时间历程等非线性动力学特性。揭示了微重力液体非线性晃动的重要特性并将所得结论与现有的实验结果进行了比较。从而证实了本文方法的有效性与正确性
This article discusses the problem of nonlinear sloshing of three-dimensional liquids in low-gravity environments. ALE (arbitrary Lagrange Euler) kinematics description is used to track the free surface. For Navier Stokes equations described by ALE, the velocity discretization method in stepwise discretization is used to discretize the time domain. In the space domain The numerical discretization was carried out by using the finite element method. The weak integral form of the finite element boundary condition was deduced considering the surface gravitational effect. The numerical calculation formula of the surface tension was given. The nonlinear sloshing of the liquid in the cylindrical reservoir with surface tension is simulated. The time history of the free liquid surface at the wall of the reservoir and the time history of the fluctuation of the shaking force acting on the reservoir are obtained. Kinetic characteristics. The important properties of nonlinear shaking of microgravity liquid are revealed and the results obtained are compared with the existing experimental results. This proves the validity and correctness of the method in this paper