Sound transmission through inhomogeneous waveguides
(2002) Twenty-Fourth International Conference on the Boundary Element Method Incorporating Meshless Solution Seminar, BEM XXIV In International Series on Advances in Boundary Elements 13. p.155-163- Abstract
A spectral element method is described which enables reduced wave equation problems defined in regular, arbitrary length regions to be solved as a set of coupled problems over neighbouring domains. A combination of trial functions are considered, namely the specific eigenfunctions of a differential operator and a set of hierarchical polynomials. The coefficients in the representation of the acoustic pressure are obtained by imposing continuity across element interfaces and including the given boundary conditions. The former is satisfied implicitly via a variational principle. Accurate approximations are obtained for computations of sound transmission over a step-profile and local perturbations of the ambient fluid density.
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- author
- Peplow, A. T. LU and Finnveden, S.
- publishing date
- 2002
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Wessex Institute of Publishing
- series title
- International Series on Advances in Boundary Elements
- volume
- 13
- pages
- 9 pages
- conference name
- Twenty-Fourth International Conference on the Boundary Element Method Incorporating Meshless Solution Seminar, BEM XXIV
- conference location
- Sintra, Portugal
- conference dates
- 2002-06-17 - 2002-06-19
- external identifiers
-
- scopus:2942741019
- ISSN
- 1460-1419
- language
- English
- LU publication?
- no
- id
- 7dcb1f5f-aca1-4032-a44e-b189f005e992
- date added to LUP
- 2021-02-15 20:01:17
- date last changed
- 2022-02-09 05:06:12
@inproceedings{7dcb1f5f-aca1-4032-a44e-b189f005e992, abstract = {{<p>A spectral element method is described which enables reduced wave equation problems defined in regular, arbitrary length regions to be solved as a set of coupled problems over neighbouring domains. A combination of trial functions are considered, namely the specific eigenfunctions of a differential operator and a set of hierarchical polynomials. The coefficients in the representation of the acoustic pressure are obtained by imposing continuity across element interfaces and including the given boundary conditions. The former is satisfied implicitly via a variational principle. Accurate approximations are obtained for computations of sound transmission over a step-profile and local perturbations of the ambient fluid density.</p>}}, author = {{Peplow, A. T. and Finnveden, S.}}, booktitle = {{Wessex Institute of Publishing}}, issn = {{1460-1419}}, language = {{eng}}, pages = {{155--163}}, series = {{International Series on Advances in Boundary Elements}}, title = {{Sound transmission through inhomogeneous waveguides}}, volume = {{13}}, year = {{2002}}, }