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http://dx.doi.org/10.7734/COSEIK.2018.31.2.87

Explicit Transient Simulation of SH-waves Using a Spectral Element Method  

Youn, Seungwook (Department of Civil Engineering, Hongik University)
Kang, Jun Won (Department of Civil Engineering, Hongik University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.31, no.2, 2018 , pp. 87-95 More about this Journal
Abstract
This paper introduces a new explicit spectral element method for the simulation of SH-waves in semi-infinite domains. To simulate the wave motion in unbounded domains, it is necessary to reduce the infinite extent to a finite computational domain of interest. To prevent the wave reflection from the trunctated boundaries, perfectly matched layer(PML) wave-absorbing boundary is introduced. The forward problem for simulating SH-waves in PML-truncated domains can be formulated as second-order PDEs. The second-order semi-discrete form of the governing PDEs is constructed by using a mixed spectral elements with Legendre-gauss-Lobatto quadrature method, which results in a diagonalized mass matrix. Then the second-order semi-discrete form is transformed to a first-order, whose solutions are calculated by the fourth-order Runge-Kutta method. Numerical examples showed that solutions of SH-wave in the two-dimensional analysis domain resulted in stable and accurate, and reflections from truncated boundaries could be reduced by using PML boundaries. Elastic wave propagation analysis using explicit time integration method may be apt for solving larger domain problems such as three-dimensional elastic wave problem more efficiently.
Keywords
spectral element method; explicit; SH-waves; forward problem; perfectly matched layer(PML);
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Times Cited By KSCI : 1  (Citation Analysis)
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