Review and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains

نویسندگان

چکیده

This review article revisits and outlines the perfectly matched layer (PML) method its various formulations developed over past 25 years for numerical modeling simulation of wave propagation in unbounded media. Based on concept complex coordinate stretching, an efficient mixed displacement-strain unsplit-field PML formulation second-order (displacementbased) linear elastodynamic equations is then proposed simulating absorption elastic waves (infinite or semi-infinite) domains. Both time-harmonic (frequency-domain) time-dependent (timedomain) are derived two-and three-dimensional problems. Through introduction only a few additional variables governed by low-order auxiliary differential equations, resulting timedomain time, thereby allowing use standard time integration schemes commonly employed computational structural dynamics thus facilitating incorporation into existing displacementbased finite element codes. For efficiency, implemented using hybrid approach that couples (displacement-strain) region with classical (displacement-based) physical domain interest, Galerkin (FEM) spatial discretization Newmark scheme coupled difference (Crank-Nicolson) sampling. Numerical experiments show performances terms accuracy, efficiency stability two-dimensional problems single-and multi-layer isotropic homogeneous

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ژورنال

عنوان ژورنال: Archives of Computational Methods in Engineering

سال: 2021

ISSN: ['1886-1784', '1134-3060']

DOI: https://doi.org/10.1007/s11831-021-09581-y