On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves |
| |
Authors: | Anne-Sophie Bonnet-Ben Dhia Colin Chambeyron Guillaume Legendre |
| |
Institution: | 1. POEMS, UMR 7231 CNRS/ENSTA/INRIA, ENSTA ParisTech, 828, Boulevard des Maréchaux, 91762 Palaiseau cedex, France;2. CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal De Lattre De Tassigny, 75775 Paris cedex 16, France |
| |
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. |
| |
Keywords: | Elastic waveguide Scattering problem Perfectly matched layer Backward propagating mode |
本文献已被 ScienceDirect 等数据库收录! |
|