Research PaperOpen Access

Implementation of Isogeometric Fast Multipole Boundary Element Methods for 2D Half-Space Acoustic Scattering Problems with Absorbing Boundary Condition

College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, Henan, P. R. China

E-mail Address: chenllei@mail.ustc.edu.cn

Institute of Vibroacoustics of Vehicles and Machines, Faculty of Mechanical Engineering, Technical University of Munich, Boltzmannstr. 15, 85748 Garching bei München, Germany

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Wenchang Zhao

Department of Modern Mechanics, University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei 230026, Anhui, P. R. China

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Cheng Liu

Department of Modern Mechanics, University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei 230026, Anhui, P. R. China

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, and

Haibo Chen

Department of Modern Mechanics, University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei 230026, Anhui, P. R. China

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https://doi.org/10.1142/S259172851850024XCited by:31 (Source: Crossref)

Abstract

Isogeometric Analysis (IGA), which tries to bridge the gap between Computer Aided Engineering (CAE) and Computer Aided Design (CAD), has been widely proposed in recent research. According to the concept of IGA, this work develops a boundary element method (BEM) using non-Uniform Rational B-Splines (NURBS) as basis functions for the 2D half-space acoustic problems with absorbing boundary condition. Fast multipole method (FMM) is applied to accelerate the solution of an isogeometric BEM (IGA-BEM). Several examples are tested and it is shown that this advancement on isogeometric fast multipole boundary element method improves the accuracy of simulations.

Keywords:

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Vol. 27, No. 02

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History

Received 12 October 2017

Accepted 19 February 2018

Published: 12 July 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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Implementation of Isogeometric Fast Multipole Boundary Element Methods for 2D Half-Space Acoustic Scattering Problems with Absorbing Boundary Condition

Abstract

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