| 岳宝增,刘延柱.圆筒形贮腔中微重力液体非线性晃动的数值模拟[J].计算力学学报,2001,18(4):449~452 |
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| 圆筒形贮腔中微重力液体非线性晃动的数值模拟 |
| Simulation of three-dimensional liquid nonlinear sloshing under low gravity environment |
| 修订日期：1999-08-02 |
| DOI：10.7511/jslx20014088 |
| 中文关键词: 低重力液体 数值模拟 液体晃动 圆筒形贮腔 非线性晃动 拉格朗日－欧拉运动学 有限元 微重力 |
| 英文关键词:large amplitude liquid sloshing,finite element,numerical simulating |
| 基金项目:国家自然科学基金资助项目 ( 1 9782 0 0 0 3)，上海市科技发展基金 ( 98JC/4 0 32 )，中国博士后基金资助项目 |
| 岳宝增 刘延柱 |
| [1]北京理工大学应用力学系，北京100081 [2]上海交通大学工程力学系，上海200030 |
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| 中文摘要: |
| 本文讨论低重力液体在圆筒形贮腔中的非线性晃动问题。将ALE（任意的拉格朗日－欧拉）运动学描述关系引入到Navier-Stokes方程中，在时间域上采用分步离散方法中的速度修正格式，利用Galerkinlk加权余量方法推导了系统的有限元数值离散方程；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。推导了自由液面上法向矢量的计算公式。模拟了圆筒形贮腔中低重力液体的非线性晃动，并得到了自由液面、波高变化、压力响应等非线性动力特性。揭示了微重力液体非线性晃动的重要特征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。 |
| 英文摘要: |
| The numerical simulation of three-dimensional large amplitude liquid sloshing in cylindrical container is discussed in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the finite element fractional step method. The corresponding discrete numerical equations are developed by Galerkin weighted residual method afterwards. The boundary condition about free-surface tension is represented in the form of weak integration. The formulations to calculate the normal vectors of the mesh points on the three dimensional free surface is presented. Three-dimensional large amplitude liquid sloshing in a cylindrical tank is simulated and some important nonlinear characteristics of three-dimensional nonlinear liquid sloshing are obtained. The numerical results are compared with experimental results and the effectiveness of the method conducted in this paper is demonstrated. |
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