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基于分层插值的翼型CFD压力系数修正方法研究

张旭1,瓮哲2,赵卓林2,陈佳宁1,赵梓斌3,4,孙岩5   

  1. 1. 中国空气动力研究与发展中心计算空气动力研究所
    2. 沈阳飞机设计研究所
    3. 空天飞行空气动力科学与技术全国重点实验室
    4. 中国空气动力研究与发展中心 计算空气动力研究所
    5. 中国空气动力研究与发展中心
  • 收稿日期:2025-09-16 修回日期:2025-11-07 出版日期:2025-11-10 发布日期:2025-11-10
  • 通讯作者: 张旭
  • 基金资助:
    国家数值风洞工程气动/结构耦合分析软件;空天飞行空气动力科学与技术全国重点实验室基金

Research on airfoil CFD pressure coefficient modification method based on layered interpolation

  • Received:2025-09-16 Revised:2025-11-07 Online:2025-11-10 Published:2025-11-10
  • Contact: Xu ZHANG

摘要: 由于计算网格分辨率、数值离散误差、湍流模型适配性等因素的影响,CFD预测的压力数据和试验压力数据之间会出现明显的偏差,直接使用CFD预测压力数据开展结构强度或气动弹性分析面临着一定的使用风险。针对传统单一插值方法在处理吸力峰和激波位置非连续变化压力系数修正时存在的精度不足和误差偏大问题,本文发展了一种基于分层插值的翼型CFD压力数据修正方法,用于获取高准确度、高分辨率的翼型压力分布数据。首先采用线性插值计算试验点位置试验压力分布数据与CFD预测压力分布数据的差量,然后利用拉普拉斯光顺方法将差量分解为连续光滑部分和非连续光滑部分,对压力差量连续光滑部分采用高阶插值、非连续光滑部分采用线性插值进行处理。插值后激波位置附近区域压力数据如仍存在局部跳跃现象,将采用激波位置检测和局部位置线性插值对翘曲部分进行光顺。使用RAE2822翼型的试验和CFD计算压力数据对方法进行了测试,并应用于DLR-F6翼身组合体和HIRENASD机翼的计算压力系数修正。测试和应用数据结果表明分层压力数据修正方法具有良好的精度,在较少的压力试验测量点情况下也可以获得比较准确的修正结果。

关键词: 分层插值, CFD, 风洞试验, 翼型, 压力系数修正, 拉普拉斯光顺

Abstract: Due to the influence of calculation grid resolution, numerical discretization error, turbulence model adaptability and other factors, there will be obvious deviation between CFD predicted pressure data and experimental pressure data, so it is risky to directly use CFD predicted pressure data to carry out structural strength or aeroelastic analysis. In or-der to solve the problem of insufficient precision and large error of traditional single interpolation method when dealing with the pressure coefficient modified of discontinuous changes of suction peak and shock wave position, this paper develops a method for correcting airfoil CFD pressure data based on hierarchical interpolation, which is used to obtain airfoil pressure distribution data with high accuracy and high resolution. Firstly, the difference between the pressure distribution data at the test point and the pressure distribution data predicted by CFD is calculated by linear interpola-tion, and then the difference is decomposed into continuous smooth part and discontinuous part by Laplace smoothing method. The continuous smooth part of pressure difference is processed by high-order interpolation, and the discon-tinuous smooth part is processed by linear interpolation. If there is still warpage in the pressure data near the shock wave position after interpolation,the warped part will be smoothed by shock position detection and local position linear interpolation. The method is tested using the RAE2822 airfoil test and CFD computed pressure data, and applied to the DLR-F6 wing-body assembly and HIRENASD wing computed pressure coefficient modified. The results of test and application show that the delamination pressure data modified method has good accuracy, and can obtain more accurate modified results even under the condition of less pressure test measurement points.

Key words: Hierarchical interpolation, CFD, Wind tunnel test, Airfoil, Pressure coefficient modified, Laplace fairing