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An inherently stable boundary-condition-transfer algorithm for muffler analysis

Kar, T and Munjal, ML (2005) An inherently stable boundary-condition-transfer algorithm for muffler analysis. In: Journal of the Acoustical Society of America, 118 (1). pp. 60-71.

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Wave coupling exists in the wave propagation in multiple interacting ducts within a waveguide. One may use the segmentation approach, decoupling approach, eigenvalue approach, or the matrizant approach to derive the overall transfer matrix for the muffler section with interacting ducts, and then apply the terminal boundary conditions to obtain a two-by-two transfer matrix. In such instances, a boundary condition applied to a vector is given as a linear combination of its components. Spatial dimensions along with parameters like impedance of the perforated interface may yield numerical instability during computation leading to inaccurate prediction of the acoustic performance of mufflers. Here, an inherently stable boundary-condition transfer approach is discussed to analyze the plane wave propagation in suchlike mufflers and applied to waveguides of variable cross-sectional area. The concept of pseudo boundary conditions applied to the state vector at an intermediate point is outlined. The method is checked for self-consistency and shown to be stable even for extreme geometries.

Item Type: Journal Article
Publication: Journal of the Acoustical Society of America
Publisher: Acoustical Society of America
Additional Information: The Copyright belongs to Acoustical Society of America.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 23 Mar 2006
Last Modified: 19 Sep 2010 04:23
URI: http://eprints.iisc.ac.in/id/eprint/5479

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