Perfectly matched layers for the simulation of elastic waves in anisotropic media
- Authors
- Kang, Junwon; J.W.; Kim, Boyoung; B.
- Issue Date
- 2019
- Publisher
- National Technical University of Athens
- Keywords
- Anisotropic Media; Elastic Waves; Mixed Finite Element Method; Perfectly Matched Layers; Time Integration
- Citation
- COMPDYN Proceedings, v.1, pp.1621 - 1629
- Journal Title
- COMPDYN Proceedings
- Volume
- 1
- Start Page
- 1621
- End Page
- 1629
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/12745
- DOI
- 10.7712/120119.7023.19063
- ISSN
- 2623-3347
- Abstract
- This paper introduces perfectly matched layers (PMLs) for the simulation of elastic waves in heterogeneous anisotropic media. The PMLs are used as wave-absorbing boundaries to surround a finite computational domain of interest truncated from the originally semi-infinite extent. In the formulation, standard Navier equations governing the wave motion in the regular domain are combined with mixed unsplit-field equations which yield the solution of attenuated waves within the PML. For the modeling of anisotropic material properties, the strain-stress relationship of the anisotropic material is incorporated into the constitutive relation of the mixed unsplit-field wave equations in PML-truncated domains. In this work, a transversely isotropic material is considered for elastic waves in a semi-infinite domain truncated by PML. The second-order semi-discrete form of the problem is constructed by using a mixed finite element method and integrated in time for the solution of displacements and stresses by using the Newmark time integration method. Numerical results are presented for elastic waves propagating in the transversely isotropic PML-truncated domain. The wave motion in the anisotropic medium is compared with that in the corresponding isotropic medium, and the effect of wave attenuation enforced by the developed anisotropic PML is shown by a series of numerical examples. Copyright © 2019 COMPDYN Proceedings. All rights reserved.
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