Abstract
The noise generated by a sharp-edged strut under quadrupole excitation is predicted using a periodic boundary element method technique. The strut is considered as a continuous periodic structure so that the matrix equation formulated by periodic boundary element method for this acoustic scattering problem is a block Toeplitz matrix. By exploiting the Toeplitz structure, the computational time and storage requirements for constructing the coefficient matrix are significantly reduced. The original matrix is embedded into a larger and more structured matrix called the block circulant matrix. Discrete Fourier Transform is then employed in an iterative algorithm to solve the block Toeplitz system. Directivity plots obtained using the proposed method are compared with numerical results obtained using a conventional boundary element model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Crocker M (2007) Handbook of noise and vibration control. Wiley, Hoboken
Czuprynski KD, Fahnline JB, Shontz SM (2012) Parallel boundary element solutions of block circulant linear systems for acoustic radiation problems with rotationally symmetric boundary surfaces. In: Proceedings of the inter-noise 2012, 19–22 Aug 2012, NY, USA
Ferreira PJ, DomÃnguez ME (2010) Trading-off matrix size and matrix structure: handling Toeplitz equations by embedding on a larger circulant set. Digital Signal Proc 20(6):1711–1722
Ffowcs Williams JE, Hall LH (1970) Aerodynamic sound generation by turbulent flow in the vicinity of a scattering half plane. J Fluid Mech 40(4):657–670
Golub G, Van Loan C (1989) Matrix computations, 2nd edn. Johns Hopkins University Press, Baltimore
Karimi M, Croaker P, Kessissoglou N, Doolan C, Marburg S (2014) Self-noise prediction of a sharp-edged strut using a quasi-periodic CFD-BEM technique. In: Proceedings of the inter-noise,16–19 Nov 2014, Melbourne, Australia
Khalighi Y, Mani A, Ham F, Moin P (2010) Prediction of sound generated by complex flows at low Mach numbers. AIAA J 48(2):306–316
Lighthill MJ (1952) On sound generated aerodynamically. Proc Soc Roy Soc A 211:564–587
Marburg S, Nolte B (2008) Computational acoustics of noise propagation in fluids—finite and boundary element methods. Springer, Berlin
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Karimi, M., Croaker, P., Kessissoglou, N. (2016). Trailing-Edge Noise Prediction Using a Periodic BEM Technique. In: Zhou, Y., Lucey, A., Liu, Y., Huang, L. (eds) Fluid-Structure-Sound Interactions and Control. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48868-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-662-48868-3_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-48866-9
Online ISBN: 978-3-662-48868-3
eBook Packages: EngineeringEngineering (R0)