| 人工边界高频振荡失稳机理的一点注记 |
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| 引用本文： | 谢志南,廖振鹏.人工边界高频振荡失稳机理的一点注记[J].地震学报,2008,30(3):302-306. |
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| 作者姓名： | 谢志南 廖振鹏 |
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| 作者单位： | 1) 中国哈尔滨150080中国地震局工程力学研究所2) 中国哈尔滨150001哈尔滨工程大学船舶工程学院 |
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| 基金项目： | 中国地震局工程力学研究所基本科研业务费专项 |
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| 摘 要： | 进一步完善了人工边界高频振荡失稳机理的解释. 解析证明了对于一维波动模型的离散模型， 当人工波速大于1.5倍的离散空间步距与时间步距的比值时， 则在某一高频段内， 其稳态波动解在人工边界上反射系数的模大于1的命题. 在此基础上对失稳的高频段作了进一步的讨论， 揭示了高频振荡失稳发生于对波动数值模拟无意义的高频段.
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| 关 键 词： | 人工边界 高频振荡失稳 波动方程 数值模拟 |
| 文章编号： | 0253-3782(2008)03-0302-05 |
| 修稿时间： | 2007年12月1日 |
A note for the mechanism of high-frequency instability induced by absorbing boundary conditions |
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| Xie Zhinan,Liao Zhenpeng.A note for the mechanism of high-frequency instability induced by absorbing boundary conditions[J].Acta Seismologica Sinica,2008,30(3):302-306. |
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| Authors: | Xie Zhinan Liao Zhenpeng |
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| Abstract: | In this paper the explanation of the mechanism of high-frequency instability induced by absorbing boundary conditions is further improved. We have analytically proved the proposition that the module of reflection factor will exceed one within a high frequency band when artificial wave velocity is greater than 1.5 times of the ratio of discrete space step to discrete time step, for the one dimensional discrete model of elastic wave motion. Based on the proof, the band comprising high-frequency components which would trigger the numerical instability is discussed in detail. Finally it is illustrated that such high-frequency components are meaningless for the numerical simulation of wave motion. |
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| Keywords: | absorbing boundary conditions high-frequency instability wave equation numerical simulation |
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