کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1901268 | 1045671 | 2014 | 21 صفحه PDF | دانلود رایگان |
• We analyze the stability and accuracy of the PML in transient elastic waveguides bounded by free-surface boundary conditions.
• Using the SBP-SAT methodology we develop a stable numerical approximation of the PML in waveguides.
• We demonstrate that back-propagating modes are not harmful to a finite width discrete PML.
• Numerical experiments verify the theoretical results.
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.
Journal: Wave Motion - Volume 51, Issue 3, April 2014, Pages 445–465