Journal of Jilin University(Earth Science Edition) ›› 2017, Vol. 47 ›› Issue (6): 1875-1884.doi: 10.13278/j.cnki.jjuese.201706304

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A Perfectly Matched Layer Absorbing Boundary Condition Under the Curvilinear Coordinate System

Liu Zhiqiang, Sun Jianguo, Sun Hui, Liu Mingchen, Gao Zhenghui, Shi Xiulin   

  1. GeoExploration of Science and Technology, Jilin University, Changchun 130026, China
  • Received:2017-03-02 Online:2017-11-26 Published:2017-11-26
  • Supported by:
    Supported by National Natural Science Foundation of China (41274120, 41404085, 41504084)

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Abstract: An absorbing boundary condition is needed to absorb the artificial boundary reflections in a numerical simulation of seismic wave. We presented a perfectly matched layer (PML) absorbing boundary condition for a second-order elastic wave equation in a curvilinear coordinate system. Similar to the PML in a Cartesian coordinate system, the PML absorbing boundary condition in a curvilinear coordinate system was formulated in frequency domain, which was obtained by the corresponding complex coordinate transformation. To transform the condition into time domain will result in complex convolutions in the perfectly matched layer. To avoid these convolutions, we introduced 4 intermediate variables. Furthermore, to simplify the free boundary condition, we adopted the orthogonal body-fitted grid for mesh generation of a rugged topography model. The numerical results show that the proposed method can absorb artificial boundary reflections effectively.

Key words: artificial boundary reflection, PML absorbing boundary, orthogonal body fitted grid

CLC Number: 

  • P631.4
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