二维半无限体势流绕流问题的边界样条解法

计算物理 ›› 1999, Vol. 16 ›› Issue (1): 89-93.

二维半无限体势流绕流问题的边界样条解法

沈敏¹, 邓康²

1. 上海市应用数学和力学研究所上海大学, 200072;
2. 上海大学材料学院冶金系, 200072

收稿日期:1997-11-07 修回日期:1998-04-20 出版日期:1999-01-25 发布日期:1999-01-25
作者简介:沈敏,男,38,副教授,硕士,上海市延长路149号上海大学189信箱,200072

A boundary spline solution method for potential flow around a 2-d semi infinite body

Shen Min¹, Deng Kang²

1. Shanghai Institute of Applied Mathematics & Mechanics, Shanghai University, 200072;
2. College of Material Science, Shanghai University, 200072

Received:1997-11-07 Revised:1998-04-20 Online:1999-01-25 Published:1999-01-25

摘要/Abstract

摘要： 采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近,提出了一种求解二维半无限体势流绕流问题复势的通用方法。求得的圆柱绕流问题之柱面压力系数分布与Acrivous的解析结果进行了比较。

关键词: 势流, 半无限体, 边界元方法, 样条逼近

Abstract: In terms of Cauchy's integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body. The pressure coefficient distribution on the cylinder surface by the present method is in good agreement with Acrivous' result for the flow problem around a circular cylinder.

Key words: potential flow, semi-infinite body, boundary element method, spline approximation

中图分类号:

沈敏, 邓康. 二维半无限体势流绕流问题的边界样条解法[J]. 计算物理, 1999, 16(1): 89-93.

Shen Min, Deng Kang. A boundary spline solution method for potential flow around a 2-d semi infinite body[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 16(1): 89-93.

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