Fluid Mechanics and Flight Mechanics

A Numerical Method of Predicting the Aerodynamic Noise in a Half-space with Ground Effects

  • PANG Chuanbo ,
  • WANG Fang ,
  • CAI Jinsheng ,
  • LIU Qiuhong
Expand
  • School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2013-05-02

  Revised date: 2013-07-31

  Online published: 2013-08-21

Supported by

National Natural Science Foundation of China (11002116); Basic Research Foundation of Northwestern Polytechnical University (GCKY1006)

Abstract

Aerodynamic noise in a half-space with non-compact boundaries widely exists in the area of aviation.When calculating noise problems numerically, the effects of the ground and other non-compact boundaries must be considered. Based on the Lighthill analogy and the generalized Green function method, the non-compact boundary effects and the fluid compressibility can be taken into consideration by bringing in the boundary sound pressure integral term and the compressible correction term. However, the integral along the infinite ground must be calculated when solving a half-space noise problem. In order to reduce the high computational expense, a new method using the half-space Green function is derived in the frequency domain based on the properties of sound reflection on a large flat. Meanwhile, through the numerical simulation of the stress noise and the flow-induced noise around a cylinder in a half-space, the accuracy and efficiency of the new method is validated.

Cite this article

PANG Chuanbo , WANG Fang , CAI Jinsheng , LIU Qiuhong . A Numerical Method of Predicting the Aerodynamic Noise in a Half-space with Ground Effects[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(3) : 666 -673 . DOI: 10.7527/S1000-6893.2013.0354

References

[1] Tam C K W, Webb J C, Dong Z. A study of the short wave components in computational acoustics[J]. Journal of Computational Acoustics, 1993, 1(1): 1-30.

[2] Tam C K W, Webb J C. Dispersion-relation-preserving finite difference schemes for computational acoustics[J]. Journal of Computational Physics, 1993, 107(2): 262-281.

[3] Hu F Q, Hussaini M Y, Manthey J L. Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics[J]. Journal of Computational Physics, 1996, 124(1): 177-191.

[4] Tam C K W, Dong Z. Wall boundary conditions for high-order finite-difference schemes in computational acoustics[J]. Theoretical and Computational Fluid Dynamics, 1994, 6(5-6): 303-322.

[5] Long S L, Nie H, Xue C J, et al. Simulation and experiment on aeroacoustic noise characteristics of aircraft landing gear[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(6): 1002-1013. (in Chinese) 龙双丽, 聂宏, 薛彩军, 等. 飞机起落架气动噪声特性仿真与试验[J]. 航空学报, 2012, 33(6): 1002-1013.

[6] Schram C. A boundary element extension of Curle’s analogy for non-compact geometries at low-Mach numbers[J]. Journal of Sound and Vibration, 2009, 322(1): 264-281.

[7] Khalighi Y, Mani A, Ham F, et al. Prediction of soundgenerated by complex flows at low Mach numbers[J]. AIAA Journal, 2010, 48(2): 306-316.

[8] Mao Y J. Development of acoustic analogy for low Mach numbers flow and its applications[D]. Xi’an: School of Energy and Power Engineering, Xi’an Jiaotong University, 2010. (in Chinese) 毛义军. 低马赫数流动中声比拟理论的拓展及其应用研究[D]. 西安: 西安交通大学能源与动力学院, 2010.

[9] Powell A. Aerodynamic noise and the plane boundary[J]. The Journal of the Acoustical Society of America, 2005, 32(8): 982-990.

[10] Shariff K, Wang M. A numerical experiment to determine whether surface shear-stress fluctuations are a true sound source[J]. Physics of Fluids, 2005, 17(10): 107105.

[11] Hu Z, Morfey C L, Sandham N D. Sound radiation from a turbulent boundary layer[J]. Physics of Fluids, 2006, 18(9): 098101.

[12] Nakashima Y, Inoue O. Sound generation by a vortex ring collision with a wall[J]. Physics of Fluids, 2008, 20(12): 126104.

[13] Li X D, Sun X F, Hu Z A, et al. A time domain method for propeller noise prediction including aircraft fuselage effect[J]. Acta Aeronautica et Astronautica Sinica, 1993, 14(11): A585-A591. (in Chinese) 李晓东, 孙晓峰, 胡宗安, 等. 考虑飞机舱壁影响的螺旋桨声场时域预测法[J]. 航空学报, 1993, 14(11): A585-A591.

[14] Lighthill M J. On sound generated aerodynamically: I. General theory[J]. Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 1952, 211(1107): 564-587.

[15] Williams J E F, Hawkings D L. Sound generation by turbulence and surfaces in arbitrary motion[J]. Philosophical Transactions of the Royal Society of London, Series A, Mathematical and Physical Sciences, 1969, 264(1151): 321-342.

[16] Wang F, Liu Q H, Cai J S. An unified computational aeroacoustic integral method of noise radiation and scattering with noncompact bodies[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(11): 2482-2491. (in Chinese) 王芳, 刘秋洪, 蔡晋生. 非紧致结构气动噪声辐射散射统一积分计算方法[J]. 航空学报, 2013, 34(11): 2482-2491.

[17] Silva L E, Silveira-Neto A, Damasceno J J R. Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method[J]. Journal of Computational Physics, 2003, 189(2): 351-370.

[18] Inoue O, Hatakeyama N. Sound generation by a two-dimensional circular cylinder in a uniform flow[J]. Journal of Fluid Mechanics, 2002, 471(1): 285-314.

Outlines

/