On the use of perfectly matched layers in the presence of long or backward guided elastic waves
Legendre, Guillaume; Chambeyron, Colin; Bonnet-Ben Dhia, Anne-Sophie (2014), On the use of perfectly matched layers in the presence of long or backward guided elastic waves, Wave Motion, 51, 2, p. 266-283. http://dx.doi.org/10.1016/j.wavemoti.2013.08.001
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00816895
Journal nameWave Motion
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Abstract (EN)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.
Subjects / KeywordsElastic waveguide; Scattering problem; Perfectly matched layer; Backward propagating mode
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