Waveguide boundary spectral finite elements

Andrew Peplow

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A waveguide boundary spectral finite element method (SFEM) is developed for the study of acoustical wave propagation in non-uniform waveguide-like geometries. The formulation is based on a variational approach using a mixture of non-internal node element shape functions and wave solutions. The numerical method provides solutions to acoustic duct or fluid waveguide environments which may be divided into uniform cross-sectional regions. Trial functions are determined by solution of an eigenvalue problem defined in the cross-section, which in turn, depends upon the boundary data. Illustration of the method through demonstration of transmission loss of acoustic energy through two-dimensional dissipative mufflers is presented and solutions of a three-dimensional elliptical duct problem are shown.

Original languageEnglish
Title of host publicationComputational Acoustics of Noise Propagation in Fluids -Finite and Boundary Element Methods
Number of pages22
ISBN (Print)9783540774471
Publication statusPublished - 2008
Externally publishedYes

Subject classification (UKÄ)

  • Fluid Mechanics and Acoustics


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