光学学报, 2009, 29 (11): 2952, 网络出版: 2009-11-16   

高超声速湍流流场高折射率梯度区域气动光学畸变仿真研究

Study on Aero-Optical Distortion Simulation of High Refraction Index Gradient Regions in Hypersonic Turbulent Flow
作者单位
北京航空航天大学 仪器科学与光电工程学院,北京 100191
摘要
基于折射率界面厚度的描述建立了一种高折射率梯度门限的数学模型,在此梯度门限下,研究了高超声速流场中高折射率梯度区域的气动光学传输效应。提出了一种用折射率梯度的调和平均值描述高折射率梯度门限的方法。采用高超声速流场的计算流体力学结果作为分析折射率梯度和进行气动光学传输仿真的源数据,忽略绝对值低于该门限的梯度值重构折射率场,并采用变折射率介质中光线追迹算法仿真其气动光学传输畸变。不同流场状况、不同位置截面的仿真结果表明,采用本门限,重构折射率场和原折射率场的相关性达0.9以上,仿真光程差均方根的相对误差不超过±5%,验证了该高折射率梯度门限模型的有效性和适用性,同时从数值角度证实了高超声速湍流流场中高折射率梯度区域是气动光学传输畸变的主要成因。
Abstract
Based on the interfacial-fluid-thickness method,a mathematical model of the high gradient threshold of refractive index was established and the aero optical propagation effects of high gradient region in hypersonic flow was simulated.A gradient threshold using its harmonic mean was proposed.The density fields of hypersonic turbulence obtained from computational fluid dynamics were used to analyse refractive gradient magnitudes and aero optical distortions.Refractive index gradients whose absolute values were below the threshold were set to zero and the new refractive index field was reconstructed.Using the ray tracing algorithm of variable index-of-refraction,aero optical distortions of the original and reconstructed refractive index fields of different cross-sections,different flow conditions were simulated numerically and analyzed synthetically.The comparisons revealed that,using the threshold,the two dimensional correlation coefficients of the original and the reconstructed index-of-refraction fields were high to above 0.9,the relative error of the root mean square of optical path difference was not more than ±5%.Through the numerical simulations,the effectiveness and adaptability of the threshold proposed was validated and it also showed that the high index-of-refractive gradient region in hypersonic turbulent flow was the main reason in aero optical distortions.

吴琳, 房建成, 杨照华. 高超声速湍流流场高折射率梯度区域气动光学畸变仿真研究[J]. 光学学报, 2009, 29(11): 2952. Wu Lin, Fang Jiancheng, Yang Zhaohua. Study on Aero-Optical Distortion Simulation of High Refraction Index Gradient Regions in Hypersonic Turbulent Flow[J]. Acta Optica Sinica, 2009, 29(11): 2952.

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