A wavelet-galerkin framework for the modeling of inner acoustic problems

S. Zhang; Li Cheng; N. Chen

A wavelet-galerkin framework for the modeling of inner acoustic problems

S. Zhang, Li Cheng, N. Chen

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

A Wavelet-Galerkin framework is proposed for the modeling of inner acoustic problems. Considering the compactly supported orthogonal property of the wavelet, Daubechies wavelet scaling function is used as basis function to expand the unknown sound pressure under Galerkin framework. The new approach can handle an arbitrary shaped cavity and can be used as an optimal tool for inner acoustic problems. Using a rectangular cavity, the validity and merits of this wavelet approach are demonstrated. Major parameters, such as the support length and the resolution of the wavelet, have been investigated. The new approach shows remarkable potentials in solving mutation acoustics problems.

Original language	English
Title of host publication	39th International Congress on Noise Control Engineering 2010, INTER-NOISE 2010
Pages	5973-5982
Number of pages	10
Volume	8
Publication status	Published - 1 Dec 2010
Event	39th International Congress on Noise Control Engineering 2010, INTER-NOISE 2010 - Lisbon, Portugal Duration: 13 Jun 2010 → 16 Jun 2010

Conference

Conference	39th International Congress on Noise Control Engineering 2010, INTER-NOISE 2010
Country/Territory	Portugal
City	Lisbon
Period	13/06/10 → 16/06/10

Keywords

Daubechies wavelets
Inner acoustic field
Wavelet-galerkin

ASJC Scopus subject areas

Acoustics and Ultrasonics

Cite this

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title = "A wavelet-galerkin framework for the modeling of inner acoustic problems",

abstract = "A Wavelet-Galerkin framework is proposed for the modeling of inner acoustic problems. Considering the compactly supported orthogonal property of the wavelet, Daubechies wavelet scaling function is used as basis function to expand the unknown sound pressure under Galerkin framework. The new approach can handle an arbitrary shaped cavity and can be used as an optimal tool for inner acoustic problems. Using a rectangular cavity, the validity and merits of this wavelet approach are demonstrated. Major parameters, such as the support length and the resolution of the wavelet, have been investigated. The new approach shows remarkable potentials in solving mutation acoustics problems.",

keywords = "Daubechies wavelets, Inner acoustic field, Wavelet-galerkin",

author = "S. Zhang and Li Cheng and N. Chen",

year = "2010",

month = dec,

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language = "English",

isbn = "9781617823961",

volume = "8",

pages = "5973--5982",

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TY - GEN

T1 - A wavelet-galerkin framework for the modeling of inner acoustic problems

AU - Zhang, S.

AU - Cheng, Li

AU - Chen, N.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - A Wavelet-Galerkin framework is proposed for the modeling of inner acoustic problems. Considering the compactly supported orthogonal property of the wavelet, Daubechies wavelet scaling function is used as basis function to expand the unknown sound pressure under Galerkin framework. The new approach can handle an arbitrary shaped cavity and can be used as an optimal tool for inner acoustic problems. Using a rectangular cavity, the validity and merits of this wavelet approach are demonstrated. Major parameters, such as the support length and the resolution of the wavelet, have been investigated. The new approach shows remarkable potentials in solving mutation acoustics problems.

AB - A Wavelet-Galerkin framework is proposed for the modeling of inner acoustic problems. Considering the compactly supported orthogonal property of the wavelet, Daubechies wavelet scaling function is used as basis function to expand the unknown sound pressure under Galerkin framework. The new approach can handle an arbitrary shaped cavity and can be used as an optimal tool for inner acoustic problems. Using a rectangular cavity, the validity and merits of this wavelet approach are demonstrated. Major parameters, such as the support length and the resolution of the wavelet, have been investigated. The new approach shows remarkable potentials in solving mutation acoustics problems.

KW - Daubechies wavelets

KW - Inner acoustic field

KW - Wavelet-galerkin

UR - http://www.scopus.com/inward/record.url?scp=84868639271&partnerID=8YFLogxK

M3 - Conference article published in proceeding or book

SN - 9781617823961

VL - 8

SP - 5973

EP - 5982

BT - 39th International Congress on Noise Control Engineering 2010, INTER-NOISE 2010

T2 - 39th International Congress on Noise Control Engineering 2010, INTER-NOISE 2010

Y2 - 13 June 2010 through 16 June 2010

ER -

A wavelet-galerkin framework for the modeling of inner acoustic problems

Abstract

Conference

Keywords

ASJC Scopus subject areas

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