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A super-spectral finite element method for sound transmission in waveguides

Peplow, Andrew LU orcid and Finnveden, Svante (2004) In Journal of the Acoustical Society of America 116(3). p.1389-1400
Abstract

A super-spectral finite element method is developed for the study of acoustical wave propagation in nonuniform waveguides. The formulation is based on a finite-element approach using a mixture of high order element shape functions and wave solutions. The numerical method provides solutions to acoustic duct or fluid waveguide environments which may be divided into rectangular sectors. Examples of its use for infinite acoustic waveguides include sound transmission through large ambient density variations and propagation over a geometric stair-step perturbation. Computation of a trapped mode waveform due to a point volume source within a uniform waveguide is also presented.

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author
and
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the Acoustical Society of America
volume
116
issue
3
pages
12 pages
publisher
American Institute of Physics (AIP)
external identifiers
  • scopus:4444327550
ISSN
0001-4966
DOI
10.1121/1.1777853
language
English
LU publication?
no
id
7ca9e40e-fd0b-4431-b969-bbdf0429f938
date added to LUP
2021-02-15 20:02:21
date last changed
2025-04-04 14:19:38
@article{7ca9e40e-fd0b-4431-b969-bbdf0429f938,
  abstract     = {{<p>A super-spectral finite element method is developed for the study of acoustical wave propagation in nonuniform waveguides. The formulation is based on a finite-element approach using a mixture of high order element shape functions and wave solutions. The numerical method provides solutions to acoustic duct or fluid waveguide environments which may be divided into rectangular sectors. Examples of its use for infinite acoustic waveguides include sound transmission through large ambient density variations and propagation over a geometric stair-step perturbation. Computation of a trapped mode waveform due to a point volume source within a uniform waveguide is also presented.</p>}},
  author       = {{Peplow, Andrew and Finnveden, Svante}},
  issn         = {{0001-4966}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{1389--1400}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Journal of the Acoustical Society of America}},
  title        = {{A super-spectral finite element method for sound transmission in waveguides}},
  url          = {{http://dx.doi.org/10.1121/1.1777853}},
  doi          = {{10.1121/1.1777853}},
  volume       = {{116}},
  year         = {{2004}},
}