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首页> 外文期刊>Journal of Computational Physics >A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations
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A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations

机译：基于Trefftz的具有复杂多散射体配置的Helmholtz问题的数值建模框架

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摘要

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 'multi-level' 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.
机译：本文提出的工作目标是低频和中频时谐声多重散射问题的数值解。提出了一种新颖的所谓“多级”建模方法，该方法可用于研究任意形状的分离良好的障碍物的构型，在该构型上可以应用任何类型的声边界条件。该方法的通用特性是通过将叠加散射原理的多重散射影响嵌入到最新的声学建模技术（所谓的基于波的方法）中来获得的。由此产生的方法成功地缓解了基于Trefftz的基本方法的几何局限性，并保留了该方法的计算效率，从而形成了通用的多散射建模框架，在低频和中频范围内均具有出色的计算效率。几个数值验证示例表明，所提出的方法与基于经典单散射波的方法一样准确，并且说明了与边界元方法相比的计算效率。

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