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Waveguide boundary spectral finite elements

Peplow, Andrew LU orcid (2008) p.387-408
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... (More)

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.

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Please use this url to cite or link to this publication:
author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Computational Acoustics of Noise Propagation in Fluids -Finite and Boundary Element Methods
pages
22 pages
publisher
Springer
external identifiers
  • scopus:84886175259
ISBN
9783540774471
DOI
10.1007/978-3-540-77448-8_15
language
English
LU publication?
no
id
54aee7ec-1d44-4cba-8e7a-c27597668afd
date added to LUP
2021-02-15 19:52:52
date last changed
2022-02-01 20:15:56
@inbook{54aee7ec-1d44-4cba-8e7a-c27597668afd,
  abstract     = {{<p>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.</p>}},
  author       = {{Peplow, Andrew}},
  booktitle    = {{Computational Acoustics of Noise Propagation in Fluids -Finite and Boundary Element Methods}},
  isbn         = {{9783540774471}},
  language     = {{eng}},
  pages        = {{387--408}},
  publisher    = {{Springer}},
  title        = {{Waveguide boundary spectral finite elements}},
  url          = {{http://dx.doi.org/10.1007/978-3-540-77448-8_15}},
  doi          = {{10.1007/978-3-540-77448-8_15}},
  year         = {{2008}},
}