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Quantification of Numerical Damping in the Acoustic Boundary Element Method for Two-Dimensional Duct Problems

Suhaib Koji Baydoun

http://orcid.org/0000-0002-1184-065X

Department of Mechanical Engineering, Technische Universität München, Boltzmannstraße 15, 85748 Garching, Germany

E-mail Address: Suhaib.Baydoun@tum.de

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and

Steffen Marburg

Department of Mechanical Engineering, Technische Universität München, Boltzmannstraße 15, 85748 Garching, Germany

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https://doi.org/10.1142/S2591728518500226Cited by:12 (Source: Crossref)

This article is part of the issue:

Special Issue on Advances in Finite and Boundary Element Methods; Edited by: M. Kaltenbacher, S. Marburg, M. Ochmann and R. Piscoya

Abstract

Spurious numerical damping in the collocation boundary element method is considered for plane sound waves in two-dimensional ducts subjected to rigid and absorbing boundary conditions. Its extent is quantified in both conditions based on a damping model with exponential decay, and meshes of linear and quadratic continuous elements are studied. An exponential increase of numerical damping with respect to frequency is found and the results suggest an upper bound for given element-to-wavelength ratios. The quantification of numerical damping is required for evaluation of meshes covering a large number of waves, and real damping phenomena can be prevented from overestimation.

Keywords:

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Vol. 26, No. 03

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History

Received 24 December 2017

Accepted 9 February 2018

Published: 7 June 2018

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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.

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Quantification of Numerical Damping in the Acoustic Boundary Element Method for Two-Dimensional Duct Problems

Abstract

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