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Journal Articles Wave Motion Year : 2014

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

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 propagating 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.
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Dates and versions

hal-00816895 , version 1 (23-04-2013)
hal-00816895 , version 2 (18-07-2013)

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Anne-Sophie Bonnet-Ben Dhia, Colin Chambeyron, Guillaume Legendre. On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves. Wave Motion, 2014, 51 (2), pp.266-283. ⟨10.1016/j.wavemoti.2013.08.001⟩. ⟨hal-00816895v2⟩
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