Effect of farfield assumption on calculation of Green's function for predicting jet noise

被引:0
作者
Xu X. [1 ]
Li X. [1 ]
机构
[1] School of Energy and power engineering, Beihang University, Beijing
来源
Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica | 2016年 / 37卷 / 09期
基金
中国国家自然科学基金;
关键词
Adjoint technique; Aeroacoustics; Computational aeroacoustics; Computational fluid dynamics; Green's function; Refraction waves; Shear flow;
D O I
10.7527/S1000-6893.2016.0127
中图分类号
学科分类号
摘要
To simplify the solution procedure of Green's function, most popular Reynolds-averaged Navier-Stokes (RANS) based jet noise prediction methods suggest to make the assumption that the jet flow is parallel and the observers are located at the infinity farfield. With the development of the solution method of Green's function, the effect of parallel flow assumption on calculation of the Green's function has been studied recently. However, the effect of farfield assumption on calculation of the Green's function has not yet been studied. To study the effect of farfield assumption, the adjoint method is used to calculate the Green's function in this paper. For actual observer 90°-150°and assumed farfield observer, the adjoint Green's functions are solved separately by a computational aeroacoustics (CAA) method. Comparison of calculation results of Green's function for actual observer and for assumed farfield observer are given in this paper. It is found that for different observation angle, the calculated deviation caused by farfield assumption is different. It is also found that there is a greater derivation of calculation results of Green's function to the point farther away from the nozzle exit. For the observer at 150°, the deviations of calculation results of Green's function caused by farfield assumption at some point are as large as-15 dB. Consequently, for observers close to the jet axis, calculation of adjoint Green's function should avoid farfield assumption to reduce the prediction error. © 2016, Press of Chinese Journal of Aeronautics. All right reserved.
引用
收藏
页码:2699 / 2710
页数:11
相关论文
共 30 条
[1]  
Lighthill M.J., On sound generated aerodynamically. I. General theory, Proceedings of the Royal Society A, 211, pp. 564-587, (1952)
[2]  
Lighthill M.J., On sound generated aerodynamically. Part II. Turbulence as a source of sound, Proceedings of the Royal Society A, 222, pp. 1-34, (1954)
[3]  
Pridmore-Brown D.C., Sound propagation in a fluid flowing through an attenuating duct, Journal of Fluid Mechanics, 4, 4, pp. 393-406, (1958)
[4]  
Phillips O.M., The intensity of aeolian tones, Journal of Fluid Mechanics, 1, 6, pp. 607-624, (1956)
[5]  
Mani R., The influence of flow on jet noise, Journal of Fluid Mechanics, 73, pp. 753-793, (1976)
[6]  
Goldstein M.E., The low frequency sound from multiple sources in axisymmetric shear flows, Journal of Fluid Mechanics, 70, pp. 595-604, (1975)
[7]  
Balsa T.F., The farfield of high frequency convected singularities in sheared flows with anapplication to jet noise prediction, Journal of Fluid Mechanics, 74, 2, pp. 193-208, (1976)
[8]  
Goldstein M.E., High frequency sound emission from moving point multiple sources embedded in arbitrary transversely sheared mean flows, Journal of Sound Vibration, 80, pp. 499-522, (1982)
[9]  
Schubert L.K., Numerical study of sound refraction by a jet flow. I. Rayacoustics, Journal Acoustic Society of America, 51, pp. 439-446, (1972)
[10]  
Durbin P.A., High frequency Green's function for aerodynamic noise in movingmedia, Journal of Sound Vibration, 91, 4, pp. 519-525, (1983)