The University of Southampton
University of Southampton Institutional Repository

A discontinuous Galerkin method with plane waves for sound absorbing materials

A discontinuous Galerkin method with plane waves for sound absorbing materials
A discontinuous Galerkin method with plane waves for sound absorbing materials
Poro-elastic materials are commonly used for passive control of noise and vibration, and are key to reducing noise emissions in many engineering applications, including the aerospace, automotive and energy industries. More efficient computational models are required to further optimise the use of such materials. In this paper we present a Discontinuous Galerkin method (DGM) with plane waves for poro-elastic materials using the Biot theory solved in the frequency domain. This approach offers significant gains in computational efficiency and is simple to implement (costly numerical quadratures of highly-oscillatory integrals are not needed). It is shown that the Biot equations can be easily cast as a set of conservation equations suitable for the formulation of the wave-based DGM. A key contribution is a general formulation of boundary conditions as well as coupling conditions between different propagation media. This is particularly important when modelling porous materials as they are generally coupled with other media, such as the surround fluid or an elastic structure. The validation of the method is described first for a simple wave propagating through a porous material, and then for the scattering of an acoustic wave by a porous cylinder. The accuracy, conditioning and computational cost of the method are assessed, and comparison with the standard finite element method is included. It is found that the benefits of the wave-based DGM are fully realised for the Biot equations and that the numerical model is able to accurately capture both the oscillations and the rapid attenuation of the waves in the porous material
0029-5981
1115-1138
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Dazel, Olivier
2b8f2f70-c0c4-4146-90af-e7945afa5137
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Dazel, Olivier
2b8f2f70-c0c4-4146-90af-e7945afa5137

Gabard, G. and Dazel, Olivier (2015) A discontinuous Galerkin method with plane waves for sound absorbing materials. International Journal for Numerical Methods in Engineering, 104, 1115-1138. (doi:10.1002/nme.4961).

Record type: Article

Abstract

Poro-elastic materials are commonly used for passive control of noise and vibration, and are key to reducing noise emissions in many engineering applications, including the aerospace, automotive and energy industries. More efficient computational models are required to further optimise the use of such materials. In this paper we present a Discontinuous Galerkin method (DGM) with plane waves for poro-elastic materials using the Biot theory solved in the frequency domain. This approach offers significant gains in computational efficiency and is simple to implement (costly numerical quadratures of highly-oscillatory integrals are not needed). It is shown that the Biot equations can be easily cast as a set of conservation equations suitable for the formulation of the wave-based DGM. A key contribution is a general formulation of boundary conditions as well as coupling conditions between different propagation media. This is particularly important when modelling porous materials as they are generally coupled with other media, such as the surround fluid or an elastic structure. The validation of the method is described first for a simple wave propagating through a porous material, and then for the scattering of an acoustic wave by a porous cylinder. The accuracy, conditioning and computational cost of the method are assessed, and comparison with the standard finite element method is included. It is found that the benefits of the wave-based DGM are fully realised for the Biot equations and that the numerical model is able to accurately capture both the oscillations and the rapid attenuation of the waves in the porous material

Text
preprint.pdf - Accepted Manuscript
Download (2MB)

More information

Accepted/In Press date: 13 May 2015
e-pub ahead of print date: 26 June 2015
Published date: November 2015
Organisations: Acoustics Group

Identifiers

Local EPrints ID: 377840
URI: https://eprints.soton.ac.uk/id/eprint/377840
ISSN: 0029-5981
PURE UUID: f510c7f8-7116-4322-af59-ff8276465583

Catalogue record

Date deposited: 18 Jun 2015 13:26
Last modified: 19 Jul 2019 20:42

Export record

Altmetrics

Contributors

Author: G. Gabard
Author: Olivier Dazel

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×