Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics | |
Zhou, Feng-Xi; Ma, Qiang; Gao, Bei-Bei | |
2016-11-01 | |
发表期刊 | Journal of Engineering Mechanics |
ISSN | 07339399 |
卷号 | 142期号:11 |
摘要 | The perfectly matched layer (PML) is a highly efficient absorbing boundary used for the numerical modeling of an elastic wave equation on an unbounded domain. In this work, the authors are concerned with a second-order unsplit PML for transient elastodymanic problems in a semi-plane medium with finite-element approximations. First, based on the concept of stretched coordinates, an efficient unsplit PML formulation is proposed without higher derivatives. Then a finite-element time-domain scheme of a second-order PML in a displacement formulation is developed, in which the Galerkin method is used in space discretization and a Newmark-type scheme is employed for time stepping. Inside the absorbing layer, only one auxiliary vector is required. Hence, the scheme is cheap to implement and easily coupled with standard finite-element methods. Finally, the accuracy and efficiency of the present unsplit PML is demonstrated in numerical examples with a finite-element time-domain scheme. © 2016 American Society of Civil Engineers. |
关键词 | Elastic waves Electromagnetic wave absorption Finite difference method Finite element method Galerkin methods Numerical methods Wave equations Absorbing boundaries Displacement formulation Finite element approximations Finite element time domains Higher derivatives Perfectly Matched Layer Space discretizations Standard finite element |
DOI | 10.1061/(ASCE)EM.1943-7889.0001145 |
收录类别 | EI ; SCIE |
语种 | 英语 |
WOS研究方向 | Engineering |
WOS类目 | Engineering, Mechanical |
WOS记录号 | WOS:000386362500005 |
出版者 | American Society of Civil Engineers (ASCE) |
EI入藏号 | 20164603016676 |
EI主题词 | Time domain analysis |
EI分类号 | 711 Electromagnetic Waves - 921 Mathematics - 931.1 Mechanics |
来源库 | Compendex |
分类代码 | 711 Electromagnetic Waves - 921 Mathematics - 931.1 Mechanics |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/112537 |
专题 | 土木工程学院 机电工程学院 |
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 |
推荐引用方式 GB/T 7714 | Zhou, Feng-Xi,Ma, Qiang,Gao, Bei-Bei. Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics[J]. Journal of Engineering Mechanics,2016,142(11). |
APA | Zhou, Feng-Xi,Ma, Qiang,&Gao, Bei-Bei.(2016).Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics.Journal of Engineering Mechanics,142(11). |
MLA | Zhou, Feng-Xi,et al."Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics".Journal of Engineering Mechanics 142.11(2016). |
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