Perfectly matched layers (PML) are a well-developed method for simulating wave propagation in unbounded media enabling the use of a reduced computational domain without having to worry about spurious boundary reflections. Using this approach, a compact three-dimensional (3D) formulation is proposed for time-domain modeling of elastic wave propagation in an unbounded general anisotropic medium. The formulation is based on a second-order approach that has the advantages of well-posedness, physical relationship to the underlying equations, and amenability to be implemented in common numerical schemes. However, many auxiliary variables are usually need to described second-order PML formulations. The problem becomes more complex for the 3D case modeling which would explain the dearth of compact second-order formulations in 3D. Using finite element method (FEM), 3D numerical results are presented to demonstrate the applicability of the formulation, including a highly anisotropic medium example.
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28 November 2016
172nd Meeting of the Acoustical Society of America
28 November – 2 December 2016
Honolulu, Hawaii
Physical Acoustics: Paper 4aPA10
July 06 2018
A second-order, perfectly matched layer formulation to model 3D transient wave propagation in anisotropic elastic media
Hisham Assi
;
Hisham Assi
1Institute of Biomaterials and Biomedical Engineering,
University of Toronto
, Toronto, ON, M5S 3G9, CANADA
; [email protected]; [email protected]
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Richard Cobbold
Richard Cobbold
1Institute of Biomaterials and Biomedical Engineering,
University of Toronto
, Toronto, ON, M5S 3G9, CANADA
; [email protected]; [email protected]
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Proc. Mtgs. Acoust. 29, 045009 (2016)
Article history
Received:
January 23 2018
Accepted:
July 01 2018
Citation
Hisham Assi, Richard Cobbold; A second-order, perfectly matched layer formulation to model 3D transient wave propagation in anisotropic elastic media. Proc. Mtgs. Acoust. 28 November 2016; 29 (1): 045009. https://doi.org/10.1121/2.0000822
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