A Two-Dimensional Acoustic Tangential Derivative Boundary Element Method Including Viscous and Thermal Losses

P. Risby Andersen*, V. Cutanda Henriquez, N. Aage, S. Marburg

*Corresponding author for this work

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Abstract

In recent years, the boundary element method has shown to be an interesting alternative to the finite element method for modeling of viscous and thermal acoustic losses. Current implementations rely on finite-difference tangential pressure derivatives for the coupling of the fundamental equations, which can be a shortcoming of the method. This finite-difference coupling method is removed here and replaced by an extra set of tangential derivative boundary element equations. Increased stability and error reduction is demonstrated by numerical experiments.
Original languageEnglish
Article number1850036
JournalJournal of Theoretical and Computational Acoustics
Volume26
Number of pages15
DOIs
Publication statusPublished - 2018

Bibliographical note

© The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

Keywords

  • Boundary element method
  • Viscous and thermal losses
  • Acoustics

Cite this

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title = "A Two-Dimensional Acoustic Tangential Derivative Boundary Element Method Including Viscous and Thermal Losses",
abstract = "In recent years, the boundary element method has shown to be an interesting alternative to the finite element method for modeling of viscous and thermal acoustic losses. Current implementations rely on finite-difference tangential pressure derivatives for the coupling of the fundamental equations, which can be a shortcoming of the method. This finite-difference coupling method is removed here and replaced by an extra set of tangential derivative boundary element equations. Increased stability and error reduction is demonstrated by numerical experiments.",
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AU - Andersen, P. Risby

AU - Cutanda Henriquez, V.

AU - Aage, N.

AU - Marburg, S.

N1 - © The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

PY - 2018

Y1 - 2018

N2 - In recent years, the boundary element method has shown to be an interesting alternative to the finite element method for modeling of viscous and thermal acoustic losses. Current implementations rely on finite-difference tangential pressure derivatives for the coupling of the fundamental equations, which can be a shortcoming of the method. This finite-difference coupling method is removed here and replaced by an extra set of tangential derivative boundary element equations. Increased stability and error reduction is demonstrated by numerical experiments.

AB - In recent years, the boundary element method has shown to be an interesting alternative to the finite element method for modeling of viscous and thermal acoustic losses. Current implementations rely on finite-difference tangential pressure derivatives for the coupling of the fundamental equations, which can be a shortcoming of the method. This finite-difference coupling method is removed here and replaced by an extra set of tangential derivative boundary element equations. Increased stability and error reduction is demonstrated by numerical experiments.

KW - Boundary element method

KW - Viscous and thermal losses

KW - Acoustics

U2 - 10.1142/S2591728518500366

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JO - Journal of Theoretical and Computational Acoustics

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