On the use of perfectly matched layers in the presence of long or backward guided elastic waves

2014
Publication type:
Paper in peer-reviewed journals
Journal:
Wave Motion, vol. 51(2), pp. 266-283
Abstract:
An efficient method to compute the scattering of a guided wave by a localized defect, in an elastic waveguide of infinite extent and bounded cross section, is considered. It relies on the use of perfectly matched layers (PML) to reduce the problem to a bounded portion of the guide, allowing for a classical finite element discretization. The difficulty here comes from the existence of backward propagative modes, which are not correctly handled by the PML. We propose a simple strategy, based on finite-dimensional linear algebra arguments and using the knowledge of the modes, to recover a correct approximation to the solution with a low additional cost compared to the standard PML approach. Numerical experiments are presented in the two-dimensional case involving Rayleigh--Lamb modes.
BibTeX:
@article{Bon-Cha-Leg-2014,
    author={Anne-Sophie Bonnet-BenDhia and Colin Chambeyron and Guillaume 
           Legendre },
    title={On the use of perfectly matched layers in the presence of long 
           or backward guided elastic waves },
    doi={10.1016/j.wavemoti.2013.08.001 },
    journal={Wave Motion },
    year={2014 },
    volume={51(2) },
    pages={266--283},
}