高超声速风洞实验数据的多维空间相关理论与关联方法  

Multi-dimensional interrelation theory for hypersonic wind-tunnel experimental data and its correlation algorithm

作　　者：姜宗林[1] 罗长童[1] 胡宗民[1] 刘云峰[1] 

机构地区：[1]中国科学院力学研究所高温气体动力学国家重点实验室,北京100190

出　　处：《中国科学：物理学、力学、天文学》2015年第12期40-51,共12页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金资助项目(批准号:11532014)

摘　　要：本文首先回顾了国内外高超声速飞行器气动力/热风洞实验数据关联方法领域的研究进展,讨论了风洞实验数据关联方法发展的思路及其局限性.在此基础上,我们提出了具有普适性的高超声速风洞实验数据多维空间相关理论,发展了一套基于多维空间相关理论的具有泛函优化特征的数据关联方法.多维空间相关理论揭示了不同类型风洞实验数据之间的内在规律,为合理利用已经获得的有效风洞实验数据奠定了基础.选择一定体量的多空间数据,应用发展的泛函优化数据关联方法,能够得到具有全局最优特征的风洞实验数据多空间集合的解析关联函数,探索反应高超声速流动规律的相似性参数.通过几个典型算例的对比分析,评估了实验数据多维空间相关理论应用的可行性、泛函优化数据关联方法的关联能力及其解析函数的关联精度.研究结果表明:高超声速风洞实验数据多维空间相关理论及其泛函优化数据关联方法能够充分并有效地利用已有的高超声速风洞实验数据,获得更合理的全局关联函数和更高精度的风洞实验数据关联结果,从而支撑利用风洞实验数据深入发掘流动规律和相似参数的研究.The progress on the ground to flight data correlation of aerodynamic forces and heat transfer for hypersonic vehicles is reviewed in this paper. The research approach and its limitation of the existing correlation methods are examined and discussed. In order to improve the performance of the data correlation, a new universal method so called the multi-dimensioanl interrelation theory, is proposed from which the nature of the wind-tunnel experimental data is revealed. Based on this theory, a correlation algorithm based on functional optimization is also developed to detect the inherent relations that, underly the multi-dimensional wind-tunnel experimental data. The practicability of the multi-dimensional interrelation theory, the capability of the proposed correlation algorithm and the accuracy of the obtained correlation fanctions are then examined and demonstrated respectively, with several typical test cases. These research results indicate that the multi-dimensional interrelation theory agrees well with physical phenomena, and its correlation algorithm can make use of hypersonic wind-tunnel experimental data effectively and the correlation function is capable of representing the underlying law of the experimental data in an analytical form. With the proposed theory and algorithm, one can expect to find a reliable correlation function with high accuracy for a given set of wind-tunnel experimental data. And such the progress on the ground to flight data correlation is of significant importance for developing advanced hypersonic vehicles.

关 键 词：高超声速飞行器 高超声速风洞 实验数据多维空间相关理论 泛函优化数据关联方法 气动力 气动热 

分 类 号：V211.74[航空宇航科学与技术—航空宇航推进理论与工程]