| 局部人工边界稳定性的一种分析方法 |
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| 引用本文： | 关慧敏,廖振鹏.局部人工边界稳定性的一种分析方法[J].力学学报,1996,28(3):376-380. |
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| 作者姓名： | 关慧敏 廖振鹏 |
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| 作者单位： | 国家地震局工程力学所 |
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| 摘 要： | 采用时域局部人工边界同有限元或有限差分相结合的方法分析无界域中的波动问题时可能出现由边界引起的数值失稳现象．本文提出一种分析局部人工边界稳定性的实用方法．该方法从时域逐步积分格式出发，考虑了边界节点运动和内部节点运动的耦合以及离散化的影响，可以给出局部人工边界在多维波动数值模拟中的稳定性近似准则．文中对多次透射边界在一维及二维出平面波动模拟中稳定性的分析结果，表明了该方法的合理性
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| 关 键 词： | 局部人工边界 稳定性 逐步积分格式 波动 |
A METHOD FOR THE STABILITY ANALYSIS OF LOCAL ARTIFICIAL BOUNDARIES |
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| Guan Huimin,Liao Zhenpeng.A METHOD FOR THE STABILITY ANALYSIS OF LOCAL ARTIFICIAL BOUNDARIES[J].chinese journal of theoretical and applied mechanics,1996,28(3):376-380. |
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| Authors: | Guan Huimin Liao Zhenpeng |
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| Abstract: | Local artificial boundaries may induce numerical instability while being adopted in finite element or finite difference simulation of wave motion in infinite media. Starting from the step by step integral algorithm and considering the coupling between the motion of the boundarynodes and the internal nodes, the authors bring about a method which can give an approximate stability criterion of a local artificial boundary in numerical simulation of multi dimensional wave motion. The stability analysis of the multi transmitting boundary in 1 dimensional and 2 dimensional anti plane wave motion simulation proves its rationality. |
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| Keywords: | local artificial boundary stability step by step integral algorithm |
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