### 一种改进的计算压力分布的格林函数方法

1. 西北工业大学 无人机特种技术重点实验室, 西安 710065
• 收稿日期:2014-07-06 修回日期:2014-08-07 出版日期:2015-06-15 发布日期:2014-09-17
• 通讯作者: 刘千刚 Tel.: 029-88493371 E-mail: liuqg@163.com E-mail:liuqg@163.com
• 作者简介:刘千刚 男, 教授, 博士生导师。主要研究方向: 空气动力学和飞行力学。 Tel: 029-88493371 E-mail: Liuqg0419@163.com;周洲 女, 博士, 教授, 博士生导师。主要研究方向: 无人机总体、气动布局设计等。 Tel: 029-88453368 E-mail: zhouzhou@mail.nwpu.edu.cn
• 基金资助:

总装预研基金 (9140A25010312HK03295)

### An improved Green's function method for pressure distribution calculations

LIU Qiangang, ZHOU Zhou

1. Science and Technology on UAV Laboratory, Northwestern Polytechnical University, Xi'an 710065, China
• Received:2014-07-06 Revised:2014-08-07 Online:2015-06-15 Published:2014-09-17
• Supported by:

National Defence Pre-research Foundation of China (9140A25010312HK03295)

Abstract:

An improvement on the pressure distribution calculations in the Green's function method is presented. Although the Green's function method can give some very accurate results in velocity potential calculations, in pressure distribution calculations, the accuracy of the results is not good becaused in this method a very simple formula evaluated by finite difference method is used to get the pressure distributions on the surface of the body. In the present paper we use a different method to calculate the pressure distributions. We differentiate both side of the algebraical velocity potential equation and get the analytic expressions of the derivatives of the velocity potential along the x,y,z directions respectively, then we use these formulas to calculate the pressure coefficients and get the pressure distributions on the body. The results are very accurate and in good agreement with the results of Navier-Stokes solver and the experimental data.Moreover we have also made some improvements on the numerical applications of the Kutta conditions and render the results of the calculation more accurate.