Acoustical Green’s Function and Boundary Element Techniques for 3D Half-Space Problems
Acoustical Green’s Function and Boundary Element Techniques for 3D Half-Space Problems
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DOI：
10.1142/s0218396x17300018
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发表时间：
2017-11
影响因子：
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通讯作者：
R. Piscoya;M. Ochmann
中科院分区：
文献类型：
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作者：
R. Piscoya;M. Ochmann
本文综述了求解三维均匀介质半空间问题的频域边界元法的基本概念。通常的边界元法的外部问题可以很容易地扩展到半空间问题，只有当无限平面是刚性或软，因为必要的剪裁绿色的功能是可用的。当无限平面具有有限阻抗时，困难就出现了。绿色函数的许多表达式已被发现，需要进行数值计算。其中一些公式的实际应用表明，它们的应用取决于平面的阻抗类型。本文讨论了几个频域公式。其中一些已实施的边界元制定和结果，其应用在具体的数值例子进行了总结。作为补充，本文给出了时域绿色函数的两个公式。这些公式已进行了数值计算，并在应用后。
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...