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Title: Modeling sound propagation in acoustic waveguides using a hybrid numerical method
Authors: Kirby, R
Keywords: Acoustic waveguides;Finite element method;Hybrid method;Mode matching
Issue Date: 2008
Publisher: American Institute of Physics
Citation: Journal of the Acoustical Society of America. 124(4):1930 -1940, Oct 2008
Abstract: Sound propagation in an acoustic waveguide is examined using a hybrid numerical technique. Here, the waveguide is assumed to be infinite in length with an arbitrary but uniform cross-section. Placed centrally within the guide is a short component section with an irregular, non-uniform, shape. The hybrid method utilises a wave based modal solution for a uniform section of the guide and, using either a mode matching or point collocation approach, matches this to a standard finite element based solution for the component section. Thus, one needs only to generate a transverse finite element mesh in uniform sections of the waveguide and this significantly reduces the number of degrees of freedom required. Moreover, utilising a wave based solution removes the need to numerically enforce a non-reflecting boundary condition at infinity using a necessarily finite mesh, which is often encountered in studies that use only the standard finite element method. Accordingly, the component transmission loss may readily be computed and predictions are presented here for three examples: an expansion chamber, a converging-diverging duct and a circular cylinder. Good agreement with analytic models is observed, and transmission loss predictions are also presented for multi-mode incident and transmitted sound fields.
ISSN: 0001-4966
Appears in Collections:Mechanical and Aerospace Engineering
Dept of Mechanical Aerospace and Civil Engineering Research Papers

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