An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates
Zhou, Feng-xi; Wang, Li-ye
2020-03-24
发表期刊PURE AND APPLIED GEOPHYSICS
ISSN0033-4553
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.
关键词Unsplit-field perfectly matched layer (PML) cylindrical coordinates elastic wave equation finite-element method
DOI10.1007/s00024-020-02460-w
收录类别SCI
语种英语
资助项目National Natural Science Foundation of China[51978320]
WOS研究方向Geochemistry & Geophysics
WOS类目Geochemistry & Geophysics
WOS记录号WOS:000521682200001
出版者SPRINGER BASEL AG
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://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
第一作者单位兰州理工大学
通讯作者单位兰州理工大学
第一作者的第一单位兰州理工大学
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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).
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