| 高精度ENO格式的有效实现 |
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| 引用本文： | 王春武,董焕河,戴嘉尊.高精度ENO格式的有效实现[J].南京航空航天大学学报,2000,32(1):105-108. |
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| 作者姓名： | 王春武 董焕河 戴嘉尊 |
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| 作者单位： | 1. 南京航空航天大学理学院,南京,210016
2. 山东矿业学院基础部,泰安,271019 |
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| 基金项目： | 航空科学基金 !(编号 :H960 3- LXY) |
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| 摘 要： | 基本无振荡（ＥＮＯ）有限差分格式是近几年出现的一类高精度差分格式，重构多项式的形成是ＥＮＯ格式构造的核心部分，一般均以网格平均值作为插值点。文中由通量值作为插值点，构造了一个简单的高精度格式，在求解高维欧拉方程时，较节省计算时间。引入三 阶ＴＶＤＲｎｇｅＫｕｔｔａ时间离散，就二维欧拉方程的激波反射与双马赫反射问题进行了数值试验，试验结果表明格式所具有的高精度和基本无振荡性质，能够满足实际计算的需要
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| 关 键 词： | ENO格式 无振荡 高精度 有限差分格式 插值点 |
| 修稿时间： | 1999-03-23 |
Efficient Implement of High Accurate ENO Schemes |
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| Wang Chunwu,Dong Huanhe,Dai Jiazun.Efficient Implement of High Accurate ENO Schemes[J].Journal of Nanjing University of Aeronautics & Astronautics,2000,32(1):105-108. |
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| Authors: | Wang Chunwu Dong Huanhe Dai Jiazun |
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| Institution: | Wang ChunwuDai Jiazun;
(College of Science, Nanjing University of Aeronautics & Astronautics |
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| Abstract: | Essentially no oscillatory(ENO) schemes is a class of new high accurate finite difference scheme, the reconstruction of polynomial is the main part of the construction of ENO schemes, usually the interpolating point is the mesh mean value. This paper takes flux value as the interpolating point and constructs a simple high accuracy scheme. In solving high dimension Euler equations, the construction of the scheme is simplified. The paper uses 3 D Runge Kutta time discretization and tests the scheme with wave reflection and double Mach reflection problems for 2 D Euler equation systems. The results show that ENO scheme is high accuracy and non oscillations. So it is a high efficient scheme. |
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| Keywords: | ENO scheme non oscillation high accuracy |
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