Publications
Title : | On the use of perfectly matched layers in the presence of long or backward guided elastic waves |
Year : | 2014 |
Type : | paper in peer-reviewed journal |
Authors : | A.-S. Bonnet-BenDhia, C. Chambeyron, G. Legendre |
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. |
Themes : |
Artificial boundaries Wave guides Harmonic waves |
Reference : | Wave Motion - vol. 51(2) (pp 266-283 ) |