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基于欧拉方程解摄动的时差导数快速算法

A Rapid Computation Method of Downwash-Lag Derivatives Based on Perturbation on Euler Equations Solution
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摘要 使用基于分区对接结构网格获得的Euler方程基本流场解,通过远场边界处理方法(物面法线Riemann不变量方法)摄动,对时差导数与自由来流合成攻角、舵偏角和气流滚转角变化率构建摄动关系,提出了一种时差导数快速估算方法。本文利用国际动导数标准模型(SDM)进行算例验证,计算结果与参考文献结果具有很好的一致性,表明本文方法耗时少、精度高、工程实用,适用于复杂气动外形飞行器的时差导数快速计算。利用本文方法在亚/跨/超声速范围内获取了5°攻角时SDM俯仰旋转导数和洗流时差导数。结果表明:在亚/跨声速范围内,是否考虑时差导数结果之间存在一定差别,随着来流马赫数增大,时差的影响逐渐减小,在超声速条件下时差影响基本可以忽略。 According to the Riemann invariant and Euler equations solution using a multi-block patched grid,and adopting the perturbation relation among downwash-Lag derivatives,the time rate of change of non-dimensional total angle of attack or deflection angle of each fin,and time rate of change of non-dimensional aerodynamic roll attitude,a method for rapid computation of Downwash-Lag derivatives has been developed in this study.The SDM dynamic derivative standard model was taken as an example to verify the method.The calculated results were in well agreement with the reference data.It has been proven with less runtime,higher accuracy and is useful in engineering.It can also be used to fasten the calculation of the downwash-Lag derivatives of flying vehicles with complicated configurations.This method was tested to obtain the pith rotation derivative and downwash-Lag derivative of SDM standard mode at a 5-degree angle of attack in the sub-/transonic/supersonic range.The results present a particular difference between the results in whether to consider the time difference in the sub-/transonic range,and the influence of downwash-Lag gradually decreases with the increase of the incoming Mach number,and this can be ignored under supersonic conditions.
作者 傅建明 柳煜玮 李欣益 段旭 刘耀峰 FU Jianming;LIUYuwei;LI Xinyi;DUAN Xu;LIU Yaofeng(Shanghai Electro-Mechanical Engineering Institute,Shanghai 201109,China;China Academy of Aerospace Aerodynamics,Beijing 100074,China)
出处 《空天防御》 2023年第3期77-84,共8页 Air & Space Defense
基金 国家自然科学基金面上项目(11572302)。
关键词 时差导数 动导数 EULER方程 downwash-lag derivatives dynamic stability derivatives Euler equations
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