# [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] 点击复制 基于自由液面预测的非线性液体晃动问题的数值模拟() 分享到： var jiathis_config = { data_track_clickback: true };

44

2014年第2期

277-282

2014-03-20

## 文章信息/Info

Title:
Numerical simulation of nonlinear liquid sloshing problems based on forecast of free surface

Author(s):
School of Mechanical Engineering, Southeast University, Nanjing 211189, China

Keywords:

O353.1
DOI:
10.3969/j.issn.1001-0505.2014.02.010

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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