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气动声学Lighthill方程的Kirchhoff积分解分析 被引量：5

An analysis of the Kirchhoff integral approach to the Lighthill equation in aeroacoustics
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摘要 Lighthill的声类比(acoustic analogy)是目前气动声定量预测中应用最为广泛的一种方法。使用非齐次波动方程的Kirchhoff积分公式对Ligthhill方程进行求解。Kirchhoff公式中的延迟时间表示不同位置点声源对场点声压叠加时的相位作用,推导时强调延迟时间函数的导数运算。基于Kirchhoff积分公式对于有物体存在于流场中的情况,详细推导了Curle解,并对Curle公式中的各声源项进行了分析。文章有助于气动声学初学者正确地认识声类比理论,加深对Curle公式的理解。 Lighthill＇s acoustic analogy is used extensively in predicting aerodynamic sound.In this paper,the Kirchhoff integral solution to the inhomogeneous wave equation is employed to solve the Lighthill equation.The retarded time in Kirchhoff＇s formula accounts for the phase interactions from different sources.Special attention is paid to the derivadves of functions with retarded times.Based on Kirchhoff＇s solution,the Curle formula which takes into account the effect of rigid surface boundary on aerodynamic sound emission is derived,and the sound sources are discussed.This paper can help practicing acousticians and young researchers better understand the acoustic analogy theory and Curle＇s equation.
作者 蔡建程 刘志宏 曾向阳
机构地区 浙江师范大学工学院 西北工业大学航海学院
出处 《声学技术》 CSCD 2014年第2期99-103,共5页 Technical Acoustics
基金 国家自然科学基金(51306163) 浙江省自然科学基金(LQ13E06000)资助项目
关键词 气动声学 声类比 Lighthill方程 Kirchhoff积分公式 Curle公式 aeroacoustics acoustic analogy Lighthill＇s equation Kirchhoff＇s integral formula Curle＇s formula
分类号 TB533 [理学—声学]
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参考文献11

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同被引文献53

  • 1刘雨青,陈理君,吴代华,邹武.低噪声轮胎花纹结构参数辨识[J].武汉理工大学学报,2004,26(8):80-83. 被引量：4
  • 2葛剑敏,范俊岩,王胜发,隆有明.低噪声轮胎设计方法与应用[J].轮胎工业,2006,26(2):79-84. 被引量：20
  • 3Wang M, Freund J, Lele S. Computational prediction of flow-generated sound. Annual Review of Fluid Mechanics, 2006; 38(1): 483- 512.
  • 4Lyrintzis A. Surface integral methods in computational aeroacoustics-from the (CFD) near-field to the (Acous- tic) far-field. International Journal of Aeroacoustics, 2003; 2(2): 95 -128.
  • 5Lighthill M. On sound generated aerodynamically. I. Gen- eral theory. Proceedings of the Royal Society of Lon- don Series A, Mathematical and Physical Sciences, 1952; 211(1107): 564--587.
  • 6Curle N. The influence of solid boundaries upon aerody- namic sound. Proceedings of the Royal Society of Lon- don Series A, Mathematical and Physical Sciences, 1955; 231(1187): 505- 514.
  • 7Ffowcs Williams J, Hawkings D. Sound generation by tur- bulence and surfaces in arbitrary motion. Royal Society of London Philosophical Transactions Series A Mathematical and Physical Science, 1969; 264(1151): 321--342.
  • 8Cox J S, Brentner K S, Rumsey C L. Computation of vortex shedding and radiated sound for a circular cylinder: sub- critical to transcritical Reynolds numbers. Theoretical and Computational Fluid Dynamics, 1998; 12(4): 233- 253.
  • 9Inoue O, Hatakeyama N. Sound generation by a two- dimensional circular cylinder in a uniform flow. Journal of Fluid Mechanics, 2002; 471(1): 285--314.
  • 10Ali I, Escobar M, Kaltenbacher Met al. Time domain computation of flow induced sound. Computers & Fluids, 2008; 37(4): 349-359.

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声学技术
2014年 第2期

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