Space-time stochastic Galerkin boundary elements for acoustic scattering problems

IF 2.7 3区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal for Numerical Methods in Engineering Pub Date : 2024-05-08 DOI:10.1002/nme.7497

Heiko Gimperlein, Fabian Meyer, Ceyhun Özdemir

引用次数: 0

Abstract

Acoustic emission or scattering problems naturally involve uncertainties about the sound sources or boundary conditions. This article initiates the study of time domain boundary elements for such stochastic boundary problems for the acoustic wave equation. We present a space-time stochastic Galerkin boundary element method which is applied to sound-hard, sound-soft and absorbing scatterers. Uncertainties in both the sources and the boundary conditions are considered using a polynomial chaos expansion. The numerical experiments illustrate the performance and convergence of the proposed method in model problems and present an application to a problem from traffic noise.

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声散射问题的时空随机伽勒金边界元

摘要声发射或散射问题自然涉及声源或边界条件的不确定性。本文开始研究声波方程中此类随机边界问题的时域边界元。我们提出了一种时空随机 Galerkin 边界元方法，并将其应用于声硬散射体、声软散射体和吸声散射体。使用多项式混沌扩展考虑了声源和边界条件的不确定性。数值实验说明了所提方法在模型问题中的性能和收敛性，并介绍了在交通噪声问题中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical Methods in Engineering 工程技术-工程：综合

CiteScore

5.70

自引率

6.90%

发文量

276

审稿时长

5.3 months

期刊介绍： The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.