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显式积分格式对局部透射边界高频失稳的抑制和消除作用
引用本文:唐晖,李小军,李真.显式积分格式对局部透射边界高频失稳的抑制和消除作用[J].世界地震工程,2010,26(4).
作者姓名:唐晖  李小军  李真
作者单位:1. 中国地震局工程力学研究所,黑龙江,哈尔滨,150080
2. 中国地震局,地球物理研究所,北京,100081
3. 中交路桥技术有限公司,北京,100029
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(2007B07)
摘    要:针对显式有限元-有限差分法结合局部透射边界进行波动数值模拟的情况,推导并计算了循环系数,给出了计算过程的稳定条件,并通过数值试验对该判定准则进行验证。在给出的循环系数的基础上,定量地分析了积分格式的能耗特性对由边界条件引入的高频失稳的抑制和消除作用。探讨了如何更有效地利用能耗特性保证计算稳定性,即实际计算模型中时间离散步距以及空间模型大小等参数如何取值既能确保计算稳定又能最大程度减小计算量。

关 键 词:显式有限元-有限差分方法  局部透射边界  高频失稳  

The effect of the explicit integration for defressing and eliminating the high-frequency instability induced by local transmitting boundary
TANG Hui,LI Xiaojun,LI Zhen.The effect of the explicit integration for defressing and eliminating the high-frequency instability induced by local transmitting boundary[J].World Information On Earthquake Engineering,2010,26(4).
Authors:TANG Hui  LI Xiaojun  LI Zhen
Institution:TANG Hui1,LI Xiaojun2,LI Zhen3(1.Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China,2.Institute of Geophysics,Beijing 100081,3.CCCC Road And Bridge Consultants Co,LTD,Beijing 100029,China)
Abstract:Considering the wave numerical simulation with explicit finite element-finite deference method and local transmitting boundary,the cyclic coefficients are derived and calculated,and the stability condition of numerical simulation is presented and tested by the numerical experiment.Based on the cyclic coefficients,the effect of the explicit integration on the unstability of the depressing and eliminating high-frequency induced by local transmitting boundary is studied quantitatively.The problem about how to ...
Keywords:explicit finite element-finite deference method  local transmitting boundary  high-frequency instability  
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