| Euler方程无网格算法及布点技术 |
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| 引用本文： | 江兴贤,陈红全.Euler方程无网格算法及布点技术[J].南京航空航天大学学报,2004,36(2):174-178. |
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| 作者姓名： | 江兴贤 陈红全 |
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| 作者单位： | 南京航空航天大学航空宇航学院,南京,210016 |
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| 基金项目： | 国家自然科学基金 (1 0 3 72 0 43 )资助项目,航空科学基金 (0 2 A5 2 0 0 2 )资助项目 |
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| 摘 要： | 研究了Bitina的显式无网格算法。在该算法的基础上,给出了Euler方程无网格离散形式,运用RungeKutta显式时间推进格式推进求解。文中的耗散项采用了与非结构网格上类似的守恒型耗散算子,边界条件的处理借鉴了结构化网格处理技术。此外,本文还描述了一种区域离散布点方法,研究了点云生成的选点准则,并成功地数值模拟了二维翼型的典型绕流。
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| 关 键 词： | Euler方程 无网格算法 布点技术 二次极小曲面逼近 |
| 文章编号： | 1005-2615(2004)02-0174-05 |
| 修稿时间： | 2003年3月31日 |
Gridless Method for Euler Equations and Distributing Point Technique |
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| JIANG Xing-xian,CHEN Hong-quan.Gridless Method for Euler Equations and Distributing Point Technique[J].Journal of Nanjing University of Aeronautics & Astronautics,2004,36(2):174-178. |
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| Authors: | JIANG Xing-xian CHEN Hong-quan |
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| Abstract: | An explicit gridless method for solving Euler equations is presented. Only clouds of points instead of grids are distributed over the computational domain and the spatial derivatives of the Euler equations are estimated using a least-square curve fit on local clouds of points. This paper gives a discrete form for Euler equations based on gridless method,and five steps for Runge-Kutta are adopted for time-marching. In addition, this paper describes a convenient technique for distributing points and selecting points to constitute "clouds of points". Numerical results are obtained for the flows over NACA0012 and RAE2822 airfoils. |
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| Keywords: | gridless methods Euler equations clouds of points distribute points least-square curve fit |
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