| 二维翼型绕流的无网格差分解法 |
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| 引用本文： | 叶志强,刘高联,陈波.二维翼型绕流的无网格差分解法[J].上海大学学报(自然科学版),2009,15(1):26-31. |
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| 作者姓名： | 叶志强 刘高联 陈波 |
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| 作者单位： | 上海大学 上海市应用数学和力学研究所，上海 200072 |
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| 基金项目： | 上海市重点学科建设项目 |
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| 摘 要： | 根据作者提出的基于全方向导数的无网格方法，运用方向全导数公式构造样点的所有偏导数，并用该公式对第二类边界条件进行离散处理.它不需要任何网格或单元，所以是非常简便彻底的无网格方法.数值算例表明，该方法具有很高的精度.
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| 关 键 词： | 无网格法 全方向导数 第二类边界条件 |
| 收稿时间： | 2007-06-26 |
Mesh Free Difference Method Applied to Flows around 2-D Airfoil |
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| YE Zhi-qiang,LIU Gao-lian,CHEN Bo.Mesh Free Difference Method Applied to Flows around 2-D Airfoil[J].Journal of Shanghai University(Natural Science),2009,15(1):26-31. |
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| Authors: | YE Zhi-qiang LIU Gao-lian CHEN Bo |
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| Affiliation: | Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | According to the mesh-free method based on local Cartesian frame proposed by the author, partial derivatives at every node and natural boundary conditions are constructed by using the total directional derivative formulas. No mesh element is needed at all. Therefore it is very simple both theoretically and computationally. The method is tested with a numerical example of fluid flow. A reliable solution is obtained with high accuracy and efficiency. |
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| Keywords: | mesh-free method total directional derivative second type of boundary conditions |
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