表面热流辨识结果的误差分析与估计  

Error analysis of surface heat flux estimation

作　　者：钱炜祺[1,2] 周宇[1,2] 邵元培[1,2] QIAN Weiqi;ZHOU Yu;SHAO Yuanpei(State Key Laboratory of Aerodynamics,Mianyang 621000,China;Computational Aerodynamics Institute of China Aerodynamics Research and Development Center,Mianyang 621000,China)

机构地区：[1]空气动力学国家重点实验室,绵阳621000 [2]中国空气动力研究与发展中心计算空气动力研究所,绵阳621000

出　　处：《空气动力学学报》2020年第4期687-693,I0002,共8页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(11372338)。

摘　　要：对于工程上的表面热流辨识问题,通常希望能够根据测量精度对辨识结果误差进行快速估计,用以优化测试方案。本文首先对给定单一频率的热流辨识误差进行定量分析,建立了辨识误差与热流频率和测量精度之间的响应面模型。然后对多个给定频率组合情况下的辨识误差规律进行分析,结果显示,频率组合热流中的低频分量能在辨识结果得到较好地复现,高频分量是导致辨识结果出现误差的主要原因。因此,辨识结果精度可以通过最高频率热流分量的辨识误差与测量精度之间的对应关系来进行大致估计。基于这一认识,本文利用时域不同频率组合的热流分量在频域可解耦的性质,通过Parseval定理得出高频分量的能量占比,建立了频率组合热流的辨识误差估计方法,并通过算例进行了验证。For the engineering surface heat flux estimation problem,it is often expected to roughly and quickly account the estimation error according to the measurement accuracy in advance so as to optimize the measurement system.So,in this paper,the estimation error of the heat fluxes with single frequency are quantitatively analyzed and a response surface model between the estimation error and the frequency and measurement accuracy is built.Furthermore,the cases of multiple-frequency combined heat flux are concerned,and due to the frequency analysis it is shown that the low-frequency component can be inversed with high accuracy and the high-frequency component is the key reason leading to the estimation error.Then,the estimation error can be roughly accounted through the function of the estimation error with respect to measurement accuracy under high-frequency circumstance.Based on this idea,the heat flux components with different frequencies are transformed and uncoupled in the frequency fields,and by utilizing the Parseval’s theorem,the power percentage of the components can be calculated and employed to develop the estimation error accounting method for the combined heat flux.Finally,some examples are presented and the results show that the error accounting method is feasible and effective.

关 键 词：表面热流辨识 频谱分析 多频率组合热流 误差估计 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]