Analysetools voor akoestiek in zeer kleine geometrieën = Tools for acoustic analysis of very small geometries

W.R. Kampinga, Ysbrand H. Wijnant, Andries de Boer

Research output: Contribution to journal › Article › Academic

Abstract

Acoustic waves can usually be described by the wave equation (or the Helmholtz equation). This allowed for the development of flexible numerical analysis tools, such as the finite element method and the boundary element method, in which various acoustical problems with complicated geometries can be modeled. Acoustical applications exist that cannot be modeled by the wave equation because of the small length scales involved. In the derivation of the wave equation, boundary layer effects, located near walls, have been neglected. This simplification does not lead to noticeable errors as long as the geometry is large compared to the boundary layer size. The analysis tool presented in this paper is a finite element that takes the viscous and thermal effects, occurring in the boundary layers, into account. Previously developed tools for these types of acoustical problems were restricted to rather simple geometries. In contrast, the new tool can analyze complicated geometries. This is the major advantage of this new tool, and of the finite element method in general. This paper presents one example that requires the new tool to accurately analyze it. Other applications for which the finite element can be used are the acoustic wave behavior in, for example, MEMS applications.
Original languageUndefined
JournalJournaal Nederlands Akoestisch Genootschap
Issue number186
Publication statusPublished - May 2008

Keywords

  • IR-70025

Cite this

Kampinga, W.R. ; Wijnant, Ysbrand H. ; de Boer, Andries. / Analysetools voor akoestiek in zeer kleine geometrieën = Tools for acoustic analysis of very small geometries. In: Journaal Nederlands Akoestisch Genootschap. 2008 ; No. 186.
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abstract = "Acoustic waves can usually be described by the wave equation (or the Helmholtz equation). This allowed for the development of flexible numerical analysis tools, such as the finite element method and the boundary element method, in which various acoustical problems with complicated geometries can be modeled. Acoustical applications exist that cannot be modeled by the wave equation because of the small length scales involved. In the derivation of the wave equation, boundary layer effects, located near walls, have been neglected. This simplification does not lead to noticeable errors as long as the geometry is large compared to the boundary layer size. The analysis tool presented in this paper is a finite element that takes the viscous and thermal effects, occurring in the boundary layers, into account. Previously developed tools for these types of acoustical problems were restricted to rather simple geometries. In contrast, the new tool can analyze complicated geometries. This is the major advantage of this new tool, and of the finite element method in general. This paper presents one example that requires the new tool to accurately analyze it. Other applications for which the finite element can be used are the acoustic wave behavior in, for example, MEMS applications.",
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year = "2008",
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journal = "Journaal Nederlands Akoestisch Genootschap",
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Kampinga, WR, Wijnant, YH & de Boer, A 2008, 'Analysetools voor akoestiek in zeer kleine geometrieën = Tools for acoustic analysis of very small geometries', Journaal Nederlands Akoestisch Genootschap, no. 186.

Analysetools voor akoestiek in zeer kleine geometrieën = Tools for acoustic analysis of very small geometries. / Kampinga, W.R.; Wijnant, Ysbrand H.; de Boer, Andries.

In: Journaal Nederlands Akoestisch Genootschap, No. 186, 05.2008.

Research output: Contribution to journal › Article › Academic

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N2 - Acoustic waves can usually be described by the wave equation (or the Helmholtz equation). This allowed for the development of flexible numerical analysis tools, such as the finite element method and the boundary element method, in which various acoustical problems with complicated geometries can be modeled. Acoustical applications exist that cannot be modeled by the wave equation because of the small length scales involved. In the derivation of the wave equation, boundary layer effects, located near walls, have been neglected. This simplification does not lead to noticeable errors as long as the geometry is large compared to the boundary layer size. The analysis tool presented in this paper is a finite element that takes the viscous and thermal effects, occurring in the boundary layers, into account. Previously developed tools for these types of acoustical problems were restricted to rather simple geometries. In contrast, the new tool can analyze complicated geometries. This is the major advantage of this new tool, and of the finite element method in general. This paper presents one example that requires the new tool to accurately analyze it. Other applications for which the finite element can be used are the acoustic wave behavior in, for example, MEMS applications.

AB - Acoustic waves can usually be described by the wave equation (or the Helmholtz equation). This allowed for the development of flexible numerical analysis tools, such as the finite element method and the boundary element method, in which various acoustical problems with complicated geometries can be modeled. Acoustical applications exist that cannot be modeled by the wave equation because of the small length scales involved. In the derivation of the wave equation, boundary layer effects, located near walls, have been neglected. This simplification does not lead to noticeable errors as long as the geometry is large compared to the boundary layer size. The analysis tool presented in this paper is a finite element that takes the viscous and thermal effects, occurring in the boundary layers, into account. Previously developed tools for these types of acoustical problems were restricted to rather simple geometries. In contrast, the new tool can analyze complicated geometries. This is the major advantage of this new tool, and of the finite element method in general. This paper presents one example that requires the new tool to accurately analyze it. Other applications for which the finite element can be used are the acoustic wave behavior in, for example, MEMS applications.

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Kampinga WR, Wijnant YH, de Boer A. Analysetools voor akoestiek in zeer kleine geometrieën = Tools for acoustic analysis of very small geometries. Journaal Nederlands Akoestisch Genootschap. 2008 May;(186).