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A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations

delete2010-09-01
delete28
PRE
AI
B
Bert Van Genechten *
B
Bart Bergen
D
Dirk Vandepitte
W
Wim Desmet
DOI:10.1016/j.jcp.2010.05.016delete
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摘要

摘要

En 中文
The aim of the work presented in this paper is the numerical solution of low- and mid-frequency time-harmonic acoustic multiple-scattering problem. A novel so-called 'multilevel' modelling approach is proposed which is applicable to the study of a configuration of well separated obstacles of arbitrary shape on which any type of acoustic boundary condition can be applied. The generic character of the method is obtained by embedding the superposition principle for the multiple-scattering influence in a state-of-the-art acoustic modelling technique, the so-called Wave Based Method. The resulting approach successfully alleviates the geometrical limitations of the underlying Trefftz-based method and preserves the method's computational efficiency, resulting in a generic multiple-scattering modelling framework with a superior computational efficiency in the low- as well as the mid-frequency range. Several numerical validation examples show that the proposed approach is as accurate as the classical single-scattering Wave Based Method and illustrate the computational efficiency as compared to Boundary Element Methods. (C) 2010 Elsevier Inc. All rights reserved.
Keyword:
Multiple-scattering
Helmholtz equation
Unbounded domain
Mid-frequency
Trefftz method
Wave Based Method
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期刊

Journal of Computational Physics 封面图
Journal of Computational Physics
IF:
3.8
论文数:
1.6W
被引数:
7.4W

机构

K
KU Leuven
学者数:
5.7W
论文数: 5.2W
被引数: 8.1W
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