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多次透射公式的一种稳定实现措施
引用本文:周正华,廖振鹏.多次透射公式的一种稳定实现措施[J].地震工程与工程振动,2001,21(1):9-14.
作者姓名:周正华  廖振鹏
作者单位:中国地震局工程力学研究所,
基金项目:地震学联合基金!(95—07—442)
摘    要:基于对双曲偏微分议程数值解稳定性的GKS(Gustafsson,Kreiss and Sundstrom)准则的物理解释,本文提出了在波动模拟中多次透射公式飘移失稳的一个简单措施,并用波源问题和散射问题的数值试验检验了建议的稳定措施的有效性。

关 键 词:波动  数值模拟  多次透射公式  飘移失稳  波源  工程地震  散射
文章编号:1000-1301(2001)01-0009-06

A stabilization measure for multi-transmitting formula
ZHOU Zheng-hua,LIAO Zhen-peng.A stabilization measure for multi-transmitting formula[J].Earthquake Engineering and Engineering Vibration,2001,21(1):9-14.
Authors:ZHOU Zheng-hua  LIAO Zhen-peng
Abstract:In this paper, a simple measure for eliminating the drift instability of the multi-transmitting formula in numerical simulation of wave motion is first presented based on a physical interpretation of GKS stability criterion in the numerical solutions of initial-boundary value problems of the hyperbolic partial differential equation. Validity of the suggested measure is then tested by numerical experiments for a three dimensional wave source problem and a three dimensional scattering problem.
Keywords:numerical simulation of wave motion  multi-transmiting formula  drift instability
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