Optimum Loss Factor for a Perfectly Matched Layer in Finite-Difference Time-Domain Acoustic Simulation

Mokhtari P.; Takemoto H.; Nishimura R.; Kato H.

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Optimum Loss Factor for a Perfectly Matched Layer in Finite-Difference Time-Domain Acoustic Simulation

机译：有限差分时域声学模拟中完美匹配层的最佳损耗因子

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摘要

A perfectly matched layer (PML) is commonly used in finite-difference time-domain (FDTD) simulation to absorb outgoing waves and thereby reduce artifactual reflections from the computational domain boundaries. However, previous two-dimensional studies have noted that increasing the PML loss factor does not monotonically improve the PML's performance. This paper evaluates the PML in three-dimensional FDTD acoustic simulations. It confirms the existence of an optimum loss factor, with higher values degrading PML performance. An empirical formula is offered for estimating the optimum loss factor for a linear or a quadratic profile, that depends on the PML depth, sound speed, and grid resolution.

机译：完美匹配层（PML）通常用于有限差分时域（FDTD）仿真中，以吸收输出波，从而减少来自计算域边界的人为反射。但是，先前的二维研究指出，增加PML损耗因子并不能单调地提高PML的性能。本文在三维FDTD声学模拟中评估PML。它确定了最佳损耗因数的存在，而较高的值会降低PML性能。提供了一个经验公式，用于估计线性或二次曲线的最佳损耗因子，这取决于PML深度，声速和网格分辨率。

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《Audio, Speech, and Language Processing, IEEE Transactions on》 |2010年第5期|p.1068-1071|共4页
作者
Mokhtari P.; Takemoto H.; Nishimura R.; Kato H.;
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作者单位

National Institute of Information and Communications Technology (NICT), Keihanna Science City, Kyoto, Japan;

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正文语种 eng
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关键词
Acoustic simulation; finite-difference time-domain (FDTD); perfectly matched layer (PML);

机译：声学模拟;时域有限差分（FDTD）;完全匹配层（PML）;

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1. Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals [J] . Cooper J.D., Valavanis A., Ikoni? Z., Journal of Computational Physics . 2013,第Null期

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2. Simulations of photoacoustic wave propagation using a finite-difference time-domain method with Berenger's perfectly matched layers [J] . Sheu YL, Li PC The Journal of the Acoustical Society of America . 2008,第6期

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3. Correspondence - Perfectly matched layer stability in 3-D finite-difference time-domain simulation of electroacoustic wave propagation in piezoelectric crystals with different symmetry class [J] . Nova Omar, Pe??a N??stor, Ney Michel IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control . 2015,第3期

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4. Modified perfectly matched layers in finite-difference time-domain schemes for the efficient truncation of propagating graphene surface waves [C] . S. Amanatiadis, C. Liaskos, M. Kafesaki, International Congress on Advanced Electromagnetic Materials in Microwaves and Optics . 2016

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5. Time-Domain Analysis of Fractional Wave Equations and Implementations of Perfectly Matched Layers in Nonlinear Ultrasound Simulations. [D] . Zhao, Xiaofeng. 2018

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6. 3-D Quantum Transport Solver Based on the Perfectly Matched Layer and Spectral Element Methods for the Simulation of Semiconductor Nanodevices [O] . Candong Cheng, Joon-Ho Lee, Kim Hwa Lim, -1

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7. Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals [O] . Cooper JD, Valavanis A, Ikonic Z, 2013

机译：压电晶体中声波的有限差分时域仿真的稳定完美匹配层边界条件

Optimum Loss Factor for a Perfectly Matched Layer in Finite-Difference Time-Domain Acoustic Simulation

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