Numerical interaction of boundary waves with perfectly matched layers in two space dimensional elastic waveguides

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• 作者：Kenneth Duru^a ; ^b ; ^{kenneth.duru@it.uu.se" class="auth_mail} ; Gunilla Kreiss^a
• 关键词：Guided waves ; Perfectly matched layer ; Group velocity ; Stability ; SBP-SAT ; High order accuracy
• 刊名：Wave Motion
• 出版年：April, 2014
• 年：2014
• 卷：51
• 期：3
• 页码：445-465
• 全文大小：1231 K

文摘

Perfectly matched layers (PMLs) are now a standard approach to simulate the absorption of waves in open domains. Wave propagation in elastic waveguides has the possibility to support back-propagating modes (propagating modes with oppositely directed group and phase velocities) with long wavelengths. Back-propagating modes can lead to temporally growing solutions in the PML. In this paper, we demonstrate that back-propagating modes in a two space dimensional isotropic elastic waveguide are not harmful to a discrete and finite width PML. Analysis and numerical experiments confirm the accuracy and stability of the PML.