| 基于Euler方程有限差分方法驻波晃动模拟 |
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| 引用本文： | 罗志强,陈志敏.基于Euler方程有限差分方法驻波晃动模拟[J].应用数学和力学,2011,32(11). |
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| 作者姓名： | 罗志强 陈志敏 |
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| 作者单位： | 1. 昆明理工大学理学院系统科学与应用数学系,昆明,650083
2. 英国南安普顿大学船舶系,南安普顿英国 |
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| 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.
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| 关 键 词： | Euler方程 有限差分方法 数值模拟 Crank-Nicolson格式 |
Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations |
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| LUO Zhi-qiang
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CHENZhi-min.Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations[J].Applied Mathematics and Mechanics,2011,32(11). |
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| Authors: | LUO Zhi-qiang CHENZhi-min |
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| Institution: | LUO Zhi-qiang1,CHEN Zhi-min2 (1.Department of System Science and Applied Mathematics,School of Science,Kunming University of Science and Technology,Kunming 650083,P.R.China,2.School of Engineering Sciences,University of Southampton,Southampton SO17 1BJ,UK) |
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| 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 ... |
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| Keywords: | Euler equations finite difference method numerical simulation Crank-Nicolson scheme |
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