TY - JOUR

T1 - Analysetools voor akoestiek in zeer kleine geometrieën = Tools for acoustic analysis of very small geometries

AU - Kampinga, W.R.

AU - Wijnant, Ysbrand H.

AU - de Boer, Andries

PY - 2008/5

Y1 - 2008/5

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.

KW - IR-70025

M3 - Article

JO - Journaal Nederlands Akoestisch Genootschap

JF - Journaal Nederlands Akoestisch Genootschap

SN - 1571-4233

IS - 186

ER -