A simple implementation of PML for second-order elastic wave equations

2020 ◽  
Vol 246 ◽  
pp. 106867 ◽  
Author(s):  
Mingwei Zhuang ◽  
Qiwei Zhan ◽  
Jianyang Zhou ◽  
Zichao Guo ◽  
Na Liu ◽  
...  
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
Second Order ◽  
Elastic Wave Equations ◽  
Simple Implementation

scholarly journals A Well-Posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation

2012 ◽  
Vol 11 (5) ◽  
pp. 1643-1672 ◽  
Author(s):  
Kenneth Duru ◽  
Gunilla Kreiss
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
Perfectly Matched Layer ◽  
Second Order ◽  
Order System ◽  
Stable Node ◽  
Complex Frequency ◽  
Elastic Wave Equations ◽  
Anisotropic Elastic ◽  
Well Posed

AbstractWe present a well-posed and discretely stable perfectly matched layer for the anisotropic (and isotropic) elastic wave equations without first re-writing the governing equations as a first order system. The new model is derived by the complex coordinate stretching technique. Using standard perturbation methods we show that complex frequency shift together with a chosen real scaling factor ensures the decay of eigen-modes for all relevant frequencies. To buttress the stability properties and the robustness of the proposed model, numerical experiments are presented for anisotropic elastic wave equations. The model is approximated with a stable node-centered finite difference scheme that is second order accurate both in time and space.

Staggered-Grid High-Order Differencemethod for the First-Order Elastic Wave Equations

2000 ◽  
Vol 43 (3) ◽  
pp. 441-449 ◽  
Author(s):  
Liang-Guo DONG ◽  
Zai-Tian MA ◽  
Jing-Zhong CAO
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
High Order ◽  
Staggered Grid ◽  
First Order ◽  
Elastic Wave Equations

The Curved Plate Flaw's Location and Direction Detecting Based on the Transducer Array

2013 ◽  
Vol 389 ◽  
pp. 223-230
Author(s):  
Xi Peng Li ◽  
Chun Guang Xu ◽  
Zhao Liu ◽  
Han Hui Xu
Keyword(s):  
Phase Velocity ◽  
Elastic Wave ◽  
Wave Equations ◽  
Velocity Dispersion ◽  
Imaging Method ◽  
Finite Element Software ◽  
Phase Velocity Dispersion ◽  
Elastic Wave Equations ◽  
The Relationship ◽  
Detecting Method

The curved structural plate components have been widely used in petroleum, natural gas, chemical industry, and other industries fields, monitoring and detecting the curved structural plate components flaw has a great significance for improving the components integrity, reliability and lifespan in service. Based on the elastic wave fundamental theory, elastic wave equations, and phase velocity dispersion characteristic curves in curved plate component, the article gives the phase velocity practical detecting method. By using thecomsolfinite element software, the author proposed a wave propagating forward modeling analytical method, which gives a guidance to study the relationship between the wave and the flaw. By adopting the ellipse algorithm, the article proposed a positioning and imaging method which was used to locate the flaws position and distinguish the flaws direction. Based on the theoretical and technical analysis above, a number of experiments has been done, and the results shows that the detecting and imaging method can locate and image the flaws position and its geometrical morphology precisely for the curved plates flaw detecting.

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