| Comparison of perfectly matched layer and multi-transmitting formula artificial boundary condition based on hybrid finite element formulation |
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| 作者姓名： | 李宁 谢礼立 翟长海 |
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| 作者单位： | School of Civil Engineering Harbin Institute of Technology，School of Civil Engineering Harbin Institute of Technology，School of Civil Engineering Harbin Institute of Technology，Harbin 150090 China，Harbin 150090 China Institute of Engineering Mechanics China Earthquake Administration Harbin 150080 China，Harbin 150090 China |
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| 基金项目： | National Natural Science Foundation of China (50608024 and 50538050). |
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| 摘 要： | The theory of perfectly matched layer (PML) artificial boundary condition (ABC), which is characterized by absorption any wave motions with arbitrary frequency and arbitrarily incident angle, is introduced. The construc- tion process of PML boundary based on elastodynamic partial differential equation (PDE) system is developed. Combining with velocity-stress hybrid finite element formulation, the applicability of PML boundary is investi- gated and the numerical reflection of PML boundary is estimated. The reflectivity of PML and multi-transmitting formula (MTF) boundary is then compared based on body wave and surface wave simulations. The results show that although PML boundary yields some reflection, its absorption performance is superior to MTF boundary in the numerical simulations of near-fault wave propagation, especially in corner and large angle grazing incidence situations. The PML boundary does not arise any unstable phenomenon and the stability of PML boundary is better than MTF boundary in hybrid finite element method. For a specified problem and analysis tolerance, the computa- tional efficiency of PML boundary is only a little lower than MTF boundary.
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| 关 键 词： | 有限元 震波 人造界面 抗震结构 |
| 文章编号： | 1000-9116（2007）06-0684-12 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-11-04 |
Comparison of perfectly matched layer and multi-transmitting formula artificial boundary condition based on hybrid finite element formulation |
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| Li Ning , Xie Li-li and Zhai Chang-hai.Comparison of perfectly matched layer and multi-transmitting formula artificial boundary condition based on hybrid finite element formulation[J].Acta Seismologica Sinica(English Edition),2007,20(6):684-695. |
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| Authors: | Li Ning Xie Li-li and Zhai Chang-hai |
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| Institution: | (1) School of Civil Engineering, Harbin Institute of Technology, Harbin, 150090, China;(2) Institute of Engineering Mechanics, China Earthquake Administration, Harbin, 150080, China |
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| Abstract: | The theory of perfectly matched layer (PML) artificial boundary condition (ABC), which is characterized by absorption any wave motions with arbitrary frequency and arbitrarily incident angle, is introduced. The construc- tion process of PML boundary based on elastodynamic partial differential equation (PDE) system is developed. Combining with velocity-stress hybrid finite element formulation, the applicability of PML boundary is investi- gated and the numerical reflection of PML boundary is estimated. The reflectivity of PML and multi-transmitting formula (MTF) boundary is then compared based on body wave and surface wave simulations. The results show that although PML boundary yields some reflection, its absorption performance is superior to MTF boundary in the numerical simulations of near-fault wave propagation, especially in corner and large angle grazing incidence situations. The PML boundary does not arise any unstable phenomenon and the stability of PML boundary is better than MTF boundary in hybrid finite element method. For a specified problem and analysis tolerance, the computa- tional efficiency of PML boundary is only a little lower than MTF boundary. |
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| Keywords: | perfectly matched layer multi-transmitting formula elastodynamic wave artificial boundary hybrid finite element |
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