用边界元法建立了包含粘滞和热损失的声学超材料的数值模型

Q1 Mathematics

Journal of Computational Acoustics Pub Date : 2017-11-21 DOI:10.1142/S0218396X17500060

P. Juhl, V. Henríquez, P. R. Andersen, J. S. Jensen, J. Sánchez-Dehesa

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引用次数: 26

摘要

近年来，发展了在具有粘性和热损失的流体中实现声学的边界元法和有限元法。它们基于无流动的线性化Navier-Stokes方程。在本文中，这种具有声学损耗的模型被应用于声学超材料。超材料是由较小的、通常是周期性的单元形成的结构，当整体观察时，这些单元表现出显著的物理特性。声学损耗与毫米级超材料有关。此外，它们的几何形状对于数值实现来说是复杂和具有挑战性的。将结果与现有测量结果进行比较。

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A numerical model of an acoustic metamaterial using the boundary element method including viscous and thermal losses

In recent years, boundary element method (BEM) and finite element method (FEM) implementations of acoustics in fluids with viscous and thermal losses have been developed. They are based on the linearized Navier–Stokes equations with no flow. In this paper, such models with acoustic losses are applied to an acoustic metamaterial. Metamaterials are structures formed by smaller, usually periodic, units showing remarkable physical properties when observed as a whole. Acoustic losses are relevant in metamaterials in the millimeter scale. In addition, their geometry is intricate and challenging for numerical implementation. The results are compared with existing measurements.

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来源期刊

Journal of Computational Acoustics 物理-声学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： Currently known as Journal of Theoretical and Computational Acoustics (JTCA).The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations. The journal strives to be flexible in the type of high quality papers it publishes and their format. Equally desirable are Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational acoustics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research in which other than strictly computational arguments may be important in establishing a basis for further developments. Tutorial review papers, covering some of the important issues in Computational Mathematical Methods, Scientific Computing, and their applications. Short notes, which present specific new results and techniques in a brief communication. The journal will occasionally publish significant contributions which are larger than the usual format for regular papers. Special issues which report results of high quality workshops in related areas and monographs of significant contributions in the Series of Computational Acoustics will also be published.