Engineering solutions using acoustic spectral finite element methods
Peplow, Andrew T. LU
(2011)
p.161-178
- Abstract
The spectral finite element method is an advanced implementation of the finite element method in which the solution over each element is expressed in terms of a priori unknown values at carefully selected spectral nodes. These methods are naturally chosen to solve problems in regular rectangular, cylindrical or spherical regions. However in a general irregular region it would be unwise to turn away from the finite element method since models defined in such regions are extremely difficult to implement and solve with a spectral method. Hence for a complex waveguide the method uses the efficiency and accuracy of the spectral method and is combined with the flexibility of finite elements to produce a high-performance engineering tool.... (More)
The spectral finite element method is an advanced implementation of the finite element method in which the solution over each element is expressed in terms of a priori unknown values at carefully selected spectral nodes. These methods are naturally chosen to solve problems in regular rectangular, cylindrical or spherical regions. However in a general irregular region it would be unwise to turn away from the finite element method since models defined in such regions are extremely difficult to implement and solve with a spectral method. Hence for a complex waveguide the method uses the efficiency and accuracy of the spectral method and is combined with the flexibility of finite elements to produce a high-performance engineering tool. Contemporary examples from engineering including fluid-filled pipes, tyre acoustics, silencers and waveguides. Some of these will be reviewed, presented and analysed. From simple examples to complex mixed materials configurations the study will highlight the strengths of the method with respect to standard methods.
(Less)
- author
- Peplow, Andrew T.
LU
- publishing date
- 2011-01
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Perspectives in Theoretical Physics
- pages
- 18 pages
- publisher
- Nova Science Publishers, Inc.
- external identifiers
-
- scopus:84892886351
- ISBN
- 9781611229608
- language
- English
- LU publication?
- no
- id
- 354d264c-af86-4562-9e8b-8eac330161d4
- date added to LUP
- 2021-02-15 19:47:25
- date last changed
- 2022-02-01 20:15:56
@inbook{354d264c-af86-4562-9e8b-8eac330161d4,
abstract = {{<p>The spectral finite element method is an advanced implementation of the finite element method in which the solution over each element is expressed in terms of a priori unknown values at carefully selected spectral nodes. These methods are naturally chosen to solve problems in regular rectangular, cylindrical or spherical regions. However in a general irregular region it would be unwise to turn away from the finite element method since models defined in such regions are extremely difficult to implement and solve with a spectral method. Hence for a complex waveguide the method uses the efficiency and accuracy of the spectral method and is combined with the flexibility of finite elements to produce a high-performance engineering tool. Contemporary examples from engineering including fluid-filled pipes, tyre acoustics, silencers and waveguides. Some of these will be reviewed, presented and analysed. From simple examples to complex mixed materials configurations the study will highlight the strengths of the method with respect to standard methods.</p>}},
author = {{Peplow, Andrew T.}},
booktitle = {{Perspectives in Theoretical Physics}},
isbn = {{9781611229608}},
language = {{eng}},
pages = {{161--178}},
publisher = {{Nova Science Publishers, Inc.}},
title = {{Engineering solutions using acoustic spectral finite element methods}},
year = {{2011}},
}