Mehdizadeh, Omid Z. and Paraschivoiu, Marius (2005) A threedimensional finite element approach for predicting the transmission loss in mufflers and silencers with no mean flow. Applied Acoustics, 66 (8). pp. 902918. ISSN 0003682X

PDF (postprint )
 Accepted Version
511kB 
Official URL: http://dx.doi.org/doi:10.1016/j.apacoust.2004.11.0...
Abstract
A threedimensional finite element method has been implemented to predict the transmission loss of a packed muffler and a parallel baffle silencer for a given frequency range. Isoparametric quadratic tetrahedral elements have been chosen due to their flexibility and accuracy in modeling geometries with curved surfaces. For accurate physical representation, perforated plates are modeled with complex acoustic impedance while absorption linings are modeled as a bulk media with a complex speed of sound and mean density. Domain decomposition and parallel processing techniques are applied to address the high computational and memory requirements. The comparison of the computationally predicted and the experimentally measured transmission loss shows a good agreement.
Divisions:  Concordia University > Faculty of Engineering and Computer Science > Mechanical and Industrial Engineering 

Item Type:  Article 
Refereed:  Yes 
Authors:  Mehdizadeh, Omid Z. and Paraschivoiu, Marius 
Journal or Publication:  Applied Acoustics 
Date:  August 2005 
Digital Object Identifier (DOI):  10.1016/j.apacoust.2004.11.008 
Keywords:  Finite element method; Helmoltz equation; Tetrahedron elements 
ID Code:  6752 
Deposited By:  ANDREA MURRAY 
Deposited On:  02 Jul 2010 16:48 
Last Modified:  24 Aug 2016 22:04 
References:  [1] F. Ihlenburg, I. Babuska and S. Sauter, Reliablity of finite element method for the numerical computation of waves, Adv Eng Software 28 (1997), pp. 417–424.
[2] F. Ihlenburg, The mediumfrequency range in computational acoustics: practical and numerical aspects, J Comput Acoust 11 (2003) (2), pp. 175–193. [3] C. Farhat, P. WiedemannGoiran and R. Tezaur, A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes, Wave Motion 39 (2004), pp. 307–317. [4] I. Harari and F. Magoules, Numerical investigations of stablized finite element computations for acoustics, Wave Motion 39 (2004), pp. 339–349. [5] T. Koike, H. Wada and T. Kobayashi, Modeling of the human middle ear using the finiteelement method, J Acoust Soc Am 111 (2002) (3), pp. 1306–1317. [6] R. Tezaur, A. Macedo, C. Farhat and R. Djellouli, Threedimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundary, Int J Numer Meth Eng 53 (2002), pp. 1461–1476. [7] F.C. Lee and W.H. Chen, On the acoustic absorption of multilayer absorbers with different inner structures, J Sound Vib 259 (2003) (4), pp. 761–777. [8] M.L. Munjal, Analysis and design of mufflers – an overview of research at Indian Institute of Science, J Sound Vib 211 (1998) (3), pp. 425–433. [9] S. Bilawchuk and K.R. Fyfe, Comparison and implementation of the various numerical method used for calculating transmission loss in silencer systems, Appl Acoust 64 (2003), pp. 903–916. [10] T.W. Wu, C.Y.R. Cheng and P. Zhang, A direct mixedbody boundary element method for packed silencers, J Acoust Soc Am 111 (2002) (6), pp. 2566–2572. [11] M.L. Munjal, Acoustics of ducts and ufflers, Wiley–Interscience, New York (1987). [12] T.W. Wu and G.C. Wan, Muffler performance studies using a direct mixedbody boundary element method and a threepoint method for evaluating transmission loss, ASME Trans, J Vib Acoust 118 (1996), pp. 479–484. [13] J.W. Sullivan and M.J. Crocker, Analysis of concentrictube resonators having unpartitioned cavities, J Acoust Soc Am 64 (1978), pp. 207–215. [14] M.E. Delany and E.N. Bazley, Acoustical properties of fibrous materials, Appl Acoust 3 (1970), pp. 105–116. [15] J.F. Allard, Propagation of sound in porous media, Elsevier Applied Science, London (1993). [16] H. Utsuno, T. Tanak, T. Fujikawa and A.F. Seybert, Transfer function method for measuring characteristic impedance and propagation constant of porous materials, J Acoust Soc Am 86 (1989), pp. 637–643. [17] In: L.L. Beranek and I.L. Vér, Editors, Noise and vibration control engineering, Wiley–Interscience, New York (1992). [18] In: C.M. Harris, Editor, Handbook of noise control, McGrawHill, New York (1957). [19] J.W. Sullivan, A method of modeling perforated tube muffler components, I. Theory, J Acoust Soc Am 66 (1979), pp. 772–778. [20] J.W. Sullivan, A method of modeling perforated tube muffler components, II. Applications, J Acoust Soc Am 66 (1979), pp. 779–788. [21] M.L. Munjal and M.G. Prasad, On plane wave propagation in a uniform pipe in the presence of a mean flow and a temperature gradient, J Acoust Soc Am 80 (1986), pp. 1501–1506. [22] K.S. Peat, The transfer matrix of a uniform duct with a linear temperature gradient, J Sound Vib 123 (1988), pp. 43–53. [23] I. Harari and T.J.R. Hughes, A cost comparison of boundary element and finite element methods for problems of timeharmonic acoustics, Comput Meth Appl Mech Eng 97 (1992), pp. 77–102. [24] K. Nakajima and H. Okuda, Parallel iterative solvers with localized ILU preconditioning for unstructured grids on workstation clusters, Int J Comput Fluid Dyn 12 (1999), pp. 315–322. [25] W. Gropp, E. Lusk and A. Skjellum, Using MPI: portable parallel programming with the messagepassing interface, MIT Press, Cambridge (MA) (1994). [26] A.H. Stroud, A fifth degree integration formula for the nsimplex, SIAM J Numer Anal 6 (1969), pp. 90–98. [27] O.Z. Mehdizadeh and M. Paraschivoiu, Investigation of a twodimensional spectral element method for Helmhotz’s equation, J Comput Phys 189 (2003), pp. 111–129. [28] R. Kechroud, A. Soulaimani, Y. Saad and S. Gowada, Preconditioning techniques for the solution of the Helmholtz equation by the finite element method, Math Comput Simulat 65 (2004), pp. 303–321. [29] A. Mazzia and G. Pini, Numerical performance of preconditioning techniques for the solution of complex sparse linear systems, Commun Numer Meth Eng 19 (2003), pp. 37–48. [30] M. Malhotra, R.W. Freund and P.M. Pinsky, Iterative solution of multiple radiation and scattering problems in structural acoustics using a block quasiminimal residual algorithm, Comput Methods Appl Mech Eng 146 (1997), pp. 173–196. [31] L.L. Thompson and P.M. Pinsky, Complex wavenumber Fourier analysis of the Pversion finite element method, Comput Mech 13 (1994), pp. 255–275. [32] S. Dey, Evaluation of pFEM approximations for midfrequency elastoacoustics, J Comput Acoust 11 (2003) (2), pp. 195–225. [33] H. Kardestuncer, Finite element handbook, McGrawHill, New York (1987). [34] N. Kikuchi, Finite element methods in mechanics, Cambridge University Press, New York (1986). [35] O.C. Zienkiewicz, The finite element method (5th ed.), Butterworth–Heinemann, Oxford (2000). [36] K. Wang, S.B. Kim, J. Zhang, K. Nakajima and H. Okuda, Global and localized parallel preconditioning techniques for large scale solid earth simulations, Future Gener Comput Syst 19 (2003) (4), pp. 443–456. 
Repository Staff Only: item control page