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
Source PublicationPURE AND APPLIED GEOPHYSICS
ISSN0033-4553
AbstractThe 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.
KeywordUnsplit-field perfectly matched layer (PML) cylindrical coordinates elastic wave equation finite-element method
DOI10.1007/s00024-020-02460-w
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[51978320]
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000521682200001
PublisherSPRINGER BASEL AG
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/76660
Collection土木工程学院
Corresponding AuthorZhou, Feng-xi
AffiliationLanzhou Univ Technol, Sch Civil Engn, Lanzhou 730050, Gansu, Peoples R China
First Author AffilicationLanzhou University of Technology
Corresponding Author AffilicationLanzhou University of Technology
First Signature AffilicationLanzhou University of Technology
Recommended Citation
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).
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