Integration of transmitting boundary and spectral-element method and improvement on the accuracy of wave motion simulation

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (2) : 13-22.

YU Yanyan1,DING Haiping1,2,LIU Qifang1

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Abstract

The implementation of accuracy-matched artificial boundary condition to match the high-order spectral element method (SEM) has great significance for wave motion simulations based on SEM. A method was introduced,integrating the multi-transmitting formula (MTF) with multi-order accuracy and the spectral-element method characterized by nonuniformly distributed nodes. The technique was implemented in the widely used software packages called SPECFEM2D and SPECFEM3D that adopt the explicit Newmark time scheme and parallel computing technique. The responses of 2D and 3D wave source problems were simulated by using the modified SEM packages. By comparing the results with that based on viscous boundary and the extended solution,it is shown that SEM combined with MTF significantly improves the absorbing efficiency of large-angle incidence body waves and surface waves at the boundary,and removes the drifting phenomenon of the viscous boundary. High-order MTF is a proper artificial boundary condition which can match well with the high accuracy high-order SEM.

Key words

spectral-element method / multi-transmitting formula / matched accuracy / wave motion simulation / body wave / surface wave

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YU Yanyan1,DING Haiping1,2,LIU Qifang1. Integration of transmitting boundary and spectral-element method and improvement on the accuracy of wave motion simulation[J]. Journal of Vibration and Shock, 2017, 36(2): 13-22

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