Acoustical Green’s Function and Boundary Element Techniques for 3D Half-Space Problems

Q1 Mathematics

Journal of Computational Acoustics Pub Date : 2017-11-21 DOI:10.1142/S0218396X17300018

R. Piscoya, M. Ochmann

引用次数: 3

Abstract

This paper presents a review of basic concepts of the boundary element method (BEM) for solving 3D half-space problems in a homogeneous medium and in frequency domain. The usual BEM for exterior problems can be extended easily for half-space problems only if the infinite plane is either rigid or soft, since the necessary tailored Green’s function is available. The difficulties arise when the infinite plane has finite impedance. Numerous expressions for the Green’s function have been found which need to be computed numerically. The practical implementation of some of these formulas shows that their application depends on the type of impedance of the plane. In this work, several formulas in frequency domain are discussed. Some of them have been implemented in a BEM formulation and results of their application in specific numerical examples are summarized. As a complement, two formulas of the Green’s function in time domain are presented. These formulas have been computed numerically and after the applicatio...

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三维半空间问题的声学格林函数和边界元技术

本文综述了在均匀介质和频域中求解三维半空间问题的边界元法的基本概念。只有当无限平面是刚性的或柔性的时，外部问题的通常边界元法才能很容易地扩展到半空间问题，因为必要的定制格林函数是可用的。当无限平面具有有限阻抗时，就会出现困难。已经发现了许多格林函数的表达式，这些表达式需要进行数值计算。其中一些公式的实际实现表明，它们的应用取决于平面的阻抗类型。本文讨论了频域中的几个公式。其中一些已经在边界元公式中实现，并总结了它们在具体数值例子中的应用结果。作为补充，给出了格林函数在时域中的两个公式。对这些公式进行了数值计算，并进行了应用。。。

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

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.