Waveguide Boundary Spectral Finite Elements

  • Andrew Peplow
Chapter

Abstract

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.

Keywords

Trial Function Transmission Loss Acoustic Pressure Spectral Element Spectral Element Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Andrew Peplow
    • 1
  1. 1.Department of Aeronautics & Vehicle EngineeringMarcus Wallenberg Laboratory for Sound & Vibration Research StockholmSweden

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