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A residual perfectly matched layer for wave propagation in elastic media

Luo Yuqin, Wang Tao, Li Yongdong, Cai Ji, Wang Ying, Fang Guangyou

Acta Geophysica

2024

Vol. 72, no. 3

1561--1573

Absorbing boundary conditions are often utilized to eliminate spurious reflections that arise at the model’s truncation boundaries. The perfectly matched layer (PML) is widely considered to be very efficient artificial boundary condition. A new alternative implementation of the PML is presented. We call this method residual perfectly matched layer (RPML) because it is based on residual calculation between the original equations and the PML formulations. This new approach has the same form as the original governing equations, and the auxiliary differential equation has only one partial derivative with respect to time, which is the simplest compared to other PMLs. Therefore, the RPML shows great advantages of implementation simplicity and computational efficiency over the standard complex stretched coordinate PML. At the same time, the absorption performance is improved by adopting the complex frequency shifted stretching function; the stability of the boundary is enhanced by applying the double damping profile.

Sound Field Modelling and Noise Reduction for a Forklift Power Compartment Based on Perfectly Matched Layer and Acoustic Packaging Design

Zhang Enlai, Liu Zhiqi, Zhang Jingjing, Lin Jiahe

Archives of Acoustics

2021

Vol. 46, No. 3

491--498

The core goal of this paper is to put forward a feasible scheme of noise reduction for a target forklift on the basis of solving the problem of vibration and acoustic radiation from complex structures in infinite domain. Based on the previous report and vibration acceleration tests, the acoustic virtual wind tunnel model of forklift power compartment was established using finite element method and boundary element method, in which the perfectly matched layer was first applied to simulate the attenuation propagation of sound waves in air. In addition, according to the distribution characteristics of sound pressure field with different frequencies, the acoustic energy mainly radiated through the bottom and right side, and concentrated in the low frequency. Consequently, the acoustic packaging design for the whole forklift power compartment was presented, and a satisfying noise reduction effect was achieved.