基于Euler方程有限差分方法驻波晃动模拟

罗志强; 陈志敏

doi:10.3879/j.issn.1000-0887.2011.11.011

基于Euler方程有限差分方法驻波晃动模拟

doi: 10.3879/j.issn.1000-0887.2011.11.011

罗志强¹,
陈志敏²

昆明理工大学理学院系统科学与应用数学系,昆明 650083;

详细信息

作者简介:
罗志强(1973- ),男,江西永新人,讲师,博士(联系人.E-mail:zql1009@126.com).

中图分类号: O359⁺.1
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- 被引次数: 0
出版历程
- 收稿日期: 2010-12-20
- 修回日期: 2011-09-05
- 刊出日期: 2011-11-15

Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations

LUO Zhi-qiang¹,
CHEN Zhi-min²

Department of System Science and Applied Mathematics, School of Science, Kunming University of Science and Technology, Kunming 650083, P. R. China;
School of Engineering Sciences, University of Southampton, Southampton SO17 1BJ, UK

摘要

摘要: 研究在二维水槽带非线性自由面边界条件的Euler方程的数值解,数值模拟了驻波的波高．将不规则的物理区域变换为一个固定的正方形计算区域,在计算区域使用交错网格技术的目的是准确捕捉流场瞬间的波高值,应用由Bang-fuh Chen建立的时间无关有限差分方法求解不可压缩无粘Euler方程的数值解．通过数值结果表明,数值解很好地吻合分析解和以前出版的文献结果．从数值解可以看出,非线性现象和拍的现象非常明显,同时数值模拟了带初始驻波的水平激励和垂直激励运动,具有很好的数值效果．
- Euler方程 /
- 有限差分方法 /
- 数值模拟 /
- Crank－Nicolson格式
Abstract: The numerical solutions of standing wave for Euler equations with nonlinear free surface boundary condition in a two dimensional tank were solved.The irregular tank was mapped onto a fixed square domain through proper mapping functions and a staggered mesh system was employed in a two dimensional tank in order to calculate the elevation of the transient fluid.A time-independent finite difference method, which was developed by Bang-fuh Chen,was applied and was used to solve Euler equations for incompressible and inviscid fluid.The numerical solutions agree well with analytic solutions and previously published results.The nonlinear and beating phenomena are very clear and the sloshing of surge and heave motions with initial standing wave are presented.
- Euler equations /
- finite difference method /
- numerical simulation /
- Crank-Nicolson scheme

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参考文献(25)

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