[1]张海涛,孙蓓蓓,陈建栋.基于自由液面预测的非线性液体晃动问题的数值模拟[J].东南大学学报(自然科学版),2014,44(2):277-282.[doi:10.3969/j.issn.1001-0505.2014.02.010]
 Zhang Haitao,Sun Beibei,Chen Jiandong.Numerical simulation of nonlinear liquid sloshing problems based on forecast of free surface[J].Journal of Southeast University (Natural Science Edition),2014,44(2):277-282.[doi:10.3969/j.issn.1001-0505.2014.02.010]
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基于自由液面预测的非线性液体晃动问题的数值模拟()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
44
期数:
2014年第2期
页码:
277-282
栏目:
数学、物理学、力学
出版日期:
2014-03-20

文章信息/Info

Title:
Numerical simulation of nonlinear liquid sloshing problems based on forecast of free surface
作者:
张海涛孙蓓蓓陈建栋
东南大学机械工程学院, 南京211189
Author(s):
Zhang Haitao Sun Beibei Chen Jiandong
School of Mechanical Engineering, Southeast University, Nanjing 211189, China
关键词:
液体晃动 有限差分 非线性动力学 数值模拟 自由液面预测
Keywords:
liquid sloshing finite difference nonlinear dynamics numerical simulation forecast of free surface
分类号:
O353.1
DOI:
10.3969/j.issn.1001-0505.2014.02.010
摘要:
针对一类矩形贮液箱的非线性晃动问题,提出一种基于有限差分算法的数值模拟方法.该方法首先采用σ变换将流体区域转化为矩形域;然后在时间迭代的过程中,运用自由液面运动学条件的显格式预测出下一时层的自由液面形状,并对边界条件中的非线性项作近似处理,由此得到描述下一时层各状态量的离散线性方程;最后根据数值解来对下一时层的自由液面进行校正.使用该方法计算了自由晃动、受迫晃动和行波3种情况,数值计算结果表明该方法具有良好的收敛性和准确性,能够有效地实现非线性晃动过程.此外,这种预测校正格式能够在保证算法稳定性的前提下,灵活地处理包含运动边界的数学问题.
Abstract:
A numerical method based on the finite difference is proposed for nonlinear sloshing simulation of rectangular tanks. First, the liquid domain is mapped to a rectangular area through sigma transformation. Then, in the process of time iteration, the free surface of the next time layer is forecasted by the explicit scheme of free surface kinematic conditions, and some nonlinear terms in boundary conditions are approximated, so the discrete linear equations depicting the liquid dynamics of the next time layer are derived. Finally, the free surface of the next time layer is updated by the numerical solutions. Numerical examples such as free oscillation, forced oscillation, and travelling wave are calculated. The results demonstrate that this method has a good performance in convergence, accuracy and efficiency for nonlinear sloshing simulation. Moreover, with the precondition of the algorithm stability, this predictor-corrector scheme is applicable to mathematical problems involving moving boundaries.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2013-09-02.
作者简介: 张海涛(1985—),男,博士生;孙蓓蓓(联系人),女,博士,教授,博士生导师,bbsun@seu.edu.cn.
基金项目: 江苏省“六大人才高峰”资助项目、江苏省产学研联合创新资金前瞻性联合研究资助项目(BY2011151).
引用本文: 张海涛,孙蓓蓓,陈建栋.基于自由液面预测的非线性液体晃动问题的数值模拟[J].东南大学学报:自然科学版,2014,44(2):277-282. [doi:10.3969/j.issn.1001-0505.2014.02.010]
更新日期/Last Update: 2014-03-20