Convolutional perfectly matched layer for elastic second-order wave equation

• Published in: The Journal of the Acoustical Society of America Vol. 127; no. 3; pp. 1318 - 1327
• Main Authors: Li, YiFeng, Bou Matar, Olivier
• Format: Journal Article
• Language: English
• Published: Melville, NY Acoustical Society of America 01.03.2010; American Institute of Physics
• Subjects: Acoustics; Algorithms; Computer Storage Devices; Elasticity; Exact sciences and technology; Finite Element Analysis; Fundamental areas of phenomenology (including applications); Models, Theoretical; Physics; Solid mechanics; Structural acoustics and vibration; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Wave equation; Elastic wave; Impedance matching; Elastodynamics
• ISSN: 0001-4966; 1520-8524; 1520-8524
• DOI: 10.1121/1.3290999

In this work, a method is presented to extend the convolutional perfectly matched layer (C-PML) to simulate acoustic wave propagation in elastic media with a second-order equation formulation. This non-physical layer is used at the computational edge of a finite element method algorithm in frequency domain, and a pseudo-spectral algorithm in time domain, as an absorbing boundary condition (ABC) to truncate unbounded media. Numerical results show that the C-PML ABC attenuates the outgoing surface waves more effectively than classical PML ABC as proposed by Berenger [ J. Comput. Phys. 114 , 195-200 ( 1994 ) ] for electromagnetic waves in the case of oblique incidence, where the PML method suffers from large spurious reflections. Moreover, a modification of the proposed C-PML formulation is also discussed in order to stabilize the absorbing layer in anisotropic solids where numerical instabilities can appear.