| 变分差分法在亚音速流动计算中的应用 |
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| 引用本文： | 李钟毓,李孝伟,刘高联.变分差分法在亚音速流动计算中的应用[J].上海大学学报(自然科学版),2010,16(3):232-236. |
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| 作者姓名： | 李钟毓 李孝伟 刘高联 |
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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： | 国家自然基金资助项目 |
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| 摘 要： | 提出一种适合亚音速流动计算的变分差分方法.该方法结合变分原理以及方向全导数差分公式构造单元节点间的关系，是一种非常简便有效的离散方法.运用该方法对二维圆柱绕流和NACA0012翼型绕流进行计算,结果表明，该方法在亚音速流动模拟中具有较高的计算精度.
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| 关 键 词： | 变分原理 差分法 亚音速流动 方向导数 |
| 收稿时间： | 2009-01-07 |
A Variation-Difference Method for Subsonic Flow Simulation |
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| LI Zhong-yu,LI Xiao-wei,LIU Gao-lian.A Variation-Difference Method for Subsonic Flow Simulation[J].Journal of Shanghai University(Natural Science),2010,16(3):232-236. |
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| Authors: | LI Zhong-yu LI Xiao-wei LIU Gao-lian |
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| Institution: | (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China) |
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| Abstract: | A variation-difference method (VDM) is developed for computation subsonic flow. This method is simple and effective in constructing the relationship between cell nodes by combining the variational principle with the differential formula derived from directional derivative. The method is implemented in computations of the flows over circular cylinder and the NACA0012 airfoil. Numerical results show that VDM has high accuracy in subsonic flow simulation. |
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| Keywords: | variational principle difference method subsonic flow directional derivative |
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