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。
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.
出处
《力学学报》
EI
CSCD
北大核心
1996年第3期376-380,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
局部人工边界
稳定性
逐步积分格式
波动
local artificial boundary, stability, step by step integral algorithm
