Level-set法在液体晃荡研究中的应用  

Application of Level-set method in the research on liquid sloshing

作　　者：方智勇[1] 杨松林[2] 朱仁庆 

机构地区：[1]南通航运职业技术学院船舶工程系,江苏南通226000 [2]江苏科技大学船舶与海洋工程学院,江苏镇江212003

出　　处：《水动力学研究与进展（A辑）》2007年第2期150-156,共7页Chinese Journal of Hydrodynamics

基　　金：国家重点实验室开放基金项目(PLN9735)

摘　　要：Level-set法是一种简便、通用、高效的计算分析空间运动界面的数值方法,本文尝试性地将Level-set方法应用于液体晃荡的研究,详细论述了应用该方法模拟液体晃荡的数学模型及数值解法。为了验证该方法处理晃荡问题的正确合理性,首先在势流假定下模拟了释放初始液面引起的自由晃荡,并将液面波动的数值结果与理论解析解进行了比较;然后模拟了二维矩形液箱做简谐横摇运动引起的液体受迫晃荡,计算结果以箱壁不同高度处的压强时间历经给出,并与实验结果进行了定量比较。计算结果初步表明采用Level-set方法研究液体晃荡现象是正确可行的。It is convenient and effective to use Level-set method in capturing moving interface. In this paper, this numerical technique was used as a trial in the research on liquid sloshing phenomenon and corresponding mathematical model and numerical resolution is discussed detail. In order to validate the techniques used in this paper, free sloshing caused by releasing a free surface with initial shape was simulated firstly, and the numerical result was compared with that of analytical. Then, the forced sloshing in a two-dimensional rectangle box is simulated, and the time course of pressure at different height of the wall was gotten and compared with that of experimental result. The calculation results show that the method used in this paper is correct and feasible.

关 键 词：Level—set法 Superbee-TVD格式 WENO格式 自由晃荡 受迫晃荡 

分 类 号：U661.1[交通运输工程—船舶及航道工程]