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A general form of perfectly matched layers for for three-dimensional problems of acoustic scattering in lossless and lossy fluid media

机译:用于无损和有损流体介质中声散射的三维问题的完全匹配层的一般形式

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摘要

The concept of perfectly matched layer (PML) has been proven very effective in absorbing electromagnetic waves in lossless media. An extension of this method and a complete three-dimensional (3-D) scheme properly suited for finite-difference, time-domain (FDTD) modeling of acoustic propagation and scattering in unbounded problems are presented in this paper. This generalized PML is constructed in such a way that it performs significant absorption of traveling waves in acoustics for both lossless and lossy media. Theoretically, no reflections occur when propagating waves encounter the lossy medium-PML interface, no matter what the angle of incidence is, introducing at the same time the possibility for further wave attenuation via the stretched coordinates idea. Numerical results support the suggested PML theory as well as reveal the proper modifications, which lead to the achievement of the optimum absorbing-boundary condition.
机译:完美匹配层(PML)的概念已被证明非常有效地吸收无损介质中的电磁波。本文介绍了该方法的扩展以及适用于无边界问题中声传播和散射的有限差分,时域(FDTD)建模的完整三维(3-D)方案。该通用PML的构造方式使其对声学中的无损和有损介质均能有效吸收传播波。从理论上讲,当传播波遇到有损耗的介质-PML界面时,无论入射角度是多少,都不会发生反射,同时,通过扩展的坐标概念,还可能进一步衰减波。数值结果支持提出的PML理论,并揭示了适当的修改,从而实现了最佳的吸收边界条件。

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