| 基于Level Set的多维双曲守恒律标量方程的激波追踪方法 |
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| 引用本文： | 封建湖,蔡力,王振海,余红伟.基于Level Set的多维双曲守恒律标量方程的激波追踪方法[J].应用力学学报,2005,22(1):17-20. |
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| 作者姓名： | 封建湖 蔡力 王振海 余红伟 |
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| 作者单位： | 1. 长安大学,西安,710064;西北工业大学,西安,710072
2. 西北工业大学,西安,710072 |
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| 摘 要： | 结合四阶CWENO(Cemral Weighted Essentially Non-Oscillatory)格式、四阶NCE(Natural Continuous Extensions)Runge-Kutta法和Level Set方法，很好地处理了一维双曲守恒律标量方程的激波追踪问题。针对二维双曲守恒律标量方程，成功地用五阶WENO格式、非TVD格式的四阶Runge-Kutta方法和Level Set方法进行激波追踪。将所得的数值解与标准的高阶激波捕捉方法所得的数值解进行比较，说明基于Level Set的激波追踪方法的有效性与逐点收敛性。
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| 关 键 词： | 激波追踪 加权本质无振荡 中心加权本质无振荡 水平集 |
| 文章编号： | 1000-4939(2005)01-0017-04 |
Level Set Algorithm for Tracking Shock in Hyperbolic Conservation Laws for Multidimensional Scalar Equations |
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| Feng Jianhu,Cai Li,Wang Zhenhai,She Hongwei.Level Set Algorithm for Tracking Shock in Hyperbolic Conservation Laws for Multidimensional Scalar Equations[J].Chinese Journal of Applied Mechanics,2005,22(1):17-20. |
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| Authors: | Feng Jianhu Cai Li Wang Zhenhai She Hongwei |
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| Institution: | Feng Jianhu 1,2 Cai Li 2 Wang Zhenhai 2 She Hongwei 2 |
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| Abstract: | To track shock waves effectively in hyperbolic conservation laws in one dimensional cases, fourth order accurate CWENO (Central Weighted Essentially Non Oscillatory) scheme is used together with the fourth order accurate NCE (Natural Continuous Extensions) Runge Kutta scheme and the Level Set algorithm. Combined the fifth order WENO (Weighted Essentially Non Oscillatory) scheme with the non TVD fourth order Runge Kutta scheme and the Level Set algorithm, two dimensional cases are solved successfully. The solutions are compared with standard high order shock capturing schemes, it indicates that Level Set tracking schemes are effective ones with high order pointwise convergence quality. |
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| Keywords: | shock capturing WENO CWENO level set |
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