### 基于广义Richardson外插方法的阻力预测精度分析

1. 清华大学 航天航空学院, 北京 100084
• 收稿日期:2014-10-16 修回日期:2014-12-30 出版日期:2015-07-15 发布日期:2015-01-23
• 通讯作者: 陈海昕 男, 博士, 教授。主要研究方向: 空气动力学, 计算流体力学, 气动设计。 Tel: 010-62789269 E-mail: chenhaixin@tsinghua.edu.cn E-mail:chenhaixin@tsinghua.edu.cn
• 作者简介:李钊 男, 博士研究生。主要研究方向: 计算流体力学。 Tel: 010-62797506 E-mail: lizhao08@mails.tsinghua.edu.cn;张宇飞 男, 博士, 讲师。主要研究方向: 气动设计, 计算流体力学。 Tel: 010-62792707 E-mail: zhangyufei@tsinghua.edu.cn
• 基金资助:

国家"973"计划(2014CB744801); 国家自然科学基金 (11102098, 11372160)

### Accuracy analysis of drag prediction based on generalized Richardson extrapolation

LI Zhao, CHEN Haixin, ZHANG Yufei

1. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
• Received:2014-10-16 Revised:2014-12-30 Online:2015-07-15 Published:2015-01-23
• Supported by:

National Basic Research Program of China (2014CB744801); National Natural Science Foundation of China (11102098, 11372160)

Abstract:

Drag prediction based on computational fluid dynamics (CFD) plays a crucial role in aircraft aerodynamic design. In this study, the generalized Richardson extrapolation method is applied to the prediction accuracy analyses of pressure drag and friction drag for two-dimensional simple test cases and the total drag for a three-dimensional complex configuration. The inviscid flow around two-dimensional NACA 0012 airfoil and the turbulent boundary layer over a zero-pressure-gradient flat plate are used to validate the in-house CFD solver NSAWET and the generalized Richardson extrapolation method. The derived formal order of accuracy is considered as the theoretical drag prediction accuracy of CFD solvers. In the common reseach model (CRM) wing/body case, the predicted results for pressure drag, friction drag and total drag are within the range of the DPW 5 statistics. However, there are some differences among different CFD solvers and the prediction accuracy does not agree with second-order. All the above analyses show that the second-order accuracy adopted by the standard Richardson extrapolation may not be universally applicable and that the generalized Richardson extrapolation with restricted formal order of accuracy is thus necessary. The generalized Richardson extrapolation is able to make error analysis more reasonable and to weaken the grid effect on the drag prediction.