An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates

doi:10.1007/s00024-020-02460-w

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	An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates
	Zhou, Feng-xi; Wang, Li-ye
刊名	PURE AND APPLIED GEOPHYSICS
	2020-03-24
关键词	Unsplit-field perfectly matched layer (PML) cylindrical coordinates elastic wave equation finite-element method
ISSN号	0033-4553
DOI	10.1007/s00024-020-02460-w
英文摘要	The truncation of an unbounded medium into a finite domain and the elimination of reflections from artificial medium boundaries is important in numerical simulations of elastodynamic equations. The perfectly matched layer (PML) technique as a novel absorbing boundary has demonstrated very high efficiency for elastic wave equation models. Based on the stretched coordinate concept, an efficient and unsplit-field perfectly matched layer equation for elastic waves is formulated in a cylindrical coordinate system. By introducing integrated complex variables for radial direction and auxiliary functions, the PML formulation is extended in cylindrical coordinates based on the second-order elastic wave equation with displacements as basic unknowns. Finite-element time-domain modeling of the second-order unsplit PML for the elastodynamic equation is presented, which is a standard displacement-based formulation for the computational domain including a PML region. The formulas for the special cases with 2-D axisymmetric coordinates and polar coordinates are also given. The efficiency of the proposed formulations is illustrated by a numerical example using the finite-element method.
资助项目	National Natural Science Foundation of China[51978320]
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000521682200001
状态	已发表
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/76660]
专题	土木工程学院
通讯作者	Zhou, Feng-xi
作者单位	Lanzhou Univ Technol, Sch Civil Engn, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Feng-xi,Wang, Li-ye. An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates[J]. PURE AND APPLIED GEOPHYSICS,2020.
APA	Zhou, Feng-xi,&Wang, Li-ye.(2020).An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates.PURE AND APPLIED GEOPHYSICS.
MLA	Zhou, Feng-xi,et al."An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates".PURE AND APPLIED GEOPHYSICS (2020).