| An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates |
| Zhou, Feng-xi; Wang, Li-ye
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| 2020-03-24
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发表期刊 | PURE AND APPLIED GEOPHYSICS
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ISSN | 0033-4553
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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
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DOI | 10.1007/s00024-020-02460-w
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收录类别 | SCI
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语种 | 英语
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资助项目 | National Natural Science Foundation of China[51978320]
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WOS研究方向 | Geochemistry & Geophysics
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WOS类目 | Geochemistry & Geophysics
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WOS记录号 | WOS:000521682200001
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出版者 | SPRINGER BASEL AG
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引用统计 |
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文献类型 | 期刊论文
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条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/76660
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专题 | 土木工程学院
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通讯作者 | Zhou, Feng-xi |
作者单位 | Lanzhou Univ Technol, Sch Civil Engn, Lanzhou 730050, Gansu, Peoples R China
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第一作者单位 | 兰州理工大学
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通讯作者单位 | 兰州理工大学
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第一作者的第一单位 | 兰州理工大学
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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.
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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.
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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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