An unsplit-field viscoelastic complex-frequency-shifted perfectly matched layer for analysis of transient waves in heterogeneous media based on an efficient voxel element method

Soil Dynamics and Earthquake Engineering 177 巻 108404- 頁 2023-12-23 発行
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利用開始日 2025-12-23 4.49 MB 種類 : 全文 エンバーゴ : 2025-12-23
タイトル ( eng )
An unsplit-field viscoelastic complex-frequency-shifted perfectly matched layer for analysis of transient waves in heterogeneous media based on an efficient voxel element method
作成者
Naeini Ehsan Fakharzadeh
Hori Muneo
収録物名
Soil Dynamics and Earthquake Engineering
177
開始ページ 108404
抄録
Wave propagation analysis of heterogeneous unbounded media employing domain discretization methods necessitates truncation of the finite computational domain at its truncation boundaries. The Perfectly Matched Layer (PML) is a robust absorbing boundary condition, which is extensively employed to favorably absorb outgoing scattered waves from the interior computational domain, regardless of frequencies and directions of outgoing waves. Nonetheless, most available PMLs are developed for elastic domains, while their developments in domain discretization methods, which consider damping using the Rayleigh damping formulation, are insufficient. In this study, a viscoelastic PML formulation is developed that accommodates the Rayleigh-type damping. The PMLs are basically developed from a coordinate transformation concept using a complex stretching function. Suitable stretching functions can efficiently control the absorptive properties and the spectral character of the PML. Besides, the stretching functions play a crucial role in the long-time stability of transient wave simulations. The standard stretching function usually results in spurious reflections, especially when propagating waves incident to the truncation boundary at near-grazing incidence. On the other hand, the complex-frequency-shifted (CFS) stretching function has been shown to mitigate long-time instability. Therefore, the proposed viscoelastic PML in the time-domain and frequency-domain are derived using the CFS stretching function for the first time. Comprehensive formulations of the proposed viscoelastic CFS-PML are given, where the displacement field is represented as the sole unknown variable of the problem. Hence, the proposed CFS-PML can be incorporated into any domain discretization method. However, the proposed CFS-PML is further developed in the context of the voxel element method, where element-by-element iterative strategies are implemented to solve the governing equations without storing global matrices in the computer memory. Comprehensive numerical experiments are conducted to demonstrate the validity and efficiency of the proposed viscoelastic CFS-PML formulation in analyzing soil profiles with various damping ratios and properties. Moreover, long-time stability for problems involving waveguides and near-grazing wave incidence is studied, where no instabilities are detected.
著者キーワード
Rayleigh damping
Voxel element method
Perfectly matched layer
Transient wave propagation
Viscoelastic
Unsplit-field viscoelastic CFS-PML
言語
英語
資源タイプ 学術雑誌論文
出版者
Elsevier
発行日 2023-12-23
権利情報
© 2024. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
This is not the published version. Please cite only the published version.
この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。
出版タイプ Accepted Manuscript(出版雑誌の一論文として受付されたもの。内容とレイアウトは出版社の投稿様式に沿ったもの)
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収録物識別子
[DOI] https://doi.org/10.1016/j.soildyn.2023.108404 ~の異版である
備考 The full-text file will be made open to the public on 23 December 2025 in accordance with publisher's 'Terms and Conditions for Self-Archiving'