Waveguide boundary spectral finite elements
(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.
(Less)
- author
- Peplow, Andrew
LU
- publishing date
- 2008
- 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}}, }