IMECH-IR  > 水动力学与海洋工程重点实验室(2009-2011)
修正算子γB_0~0的物理含义及精度分析
Alternative TitleThe physical implication and the precision analysis of modified operator γB00
周正华; 魏景芝; 王玉石; 王伟; 丁桦
Source Publication计算力学学报
2011-02-15
Volume28Issue:1Pages:20-24
ISSN1007-4708 
Abstract多次透射公式是一种用于无限介质波动数值模拟中的局部人工边界条件,飘移失稳是多次透射公式在时步积分数值模拟实现中出现的一种失稳现象,可通过在多次透射公式算子中加上修正算子γB00的简便处理方法消除。本文依据球面波传播原理和介质阻尼效应解释了修正算子γB00的物理含义,并在两种极限情形(理想暂态情形和理想稳态情形)下对加修正算子γB00的多次透射公式的反射系数进行了推导,分析了γ取值对多次透射公式反射系数的影响。结果表明:加修正算子γB00的多次透射公式在波动数值模拟中考虑了介质的几何扩散特性,或引入了介质的阻尼特性;当γ≤0.02时,修正算子γB00对多次透射公式反射系数的影响可忽略不计。
Other AbstractThe Multi-Transmitting Formula(MTF) is a local artificial boundary condition used for numerical simulation of the wave motion in infinite media.The drift instability is one type of the numerical instabilities in implementation of MTF into the numerical simulation by time-step integration,and may be eliminated by a simple measure,namely,adding a modified operator γB00 into the operator of MTF.The physical implication on modified operator γB00 of MTF is interpreted based on the theory of spherical wave propagation and damping effect of medium.In addition,the reflection coefficient of MTF added modified operator γB00 in two limit cases(ideal transient case and ideal steady-state case) is derived,and the influence of γ-value on this is analyzed.Results show that MTF added modified operator γB00 used for numerical simulation of the wave motion takes geometric decay effect of medium into account,or introduces damping effect of medium,and if γ≤0.02,the effect of modified operator γB00 on the reflection coefficient of MTF may be ignored. 更多
Keyword球面波 阻尼效应 修正算子 多次透射公式 反射系数
Subject Area力学
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Indexed ByEI
Funding Organization国家自然科学基金重大研究计划(90715038);973项目(2002CB412706);中国地震局工程力学研究所中央级公益性研究所基本科研业务费专项(2006A02);地震行业科研专项(200808019)资助项目
DepartmentLMFS工程地质体力学(LEM)
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45060
Collection水动力学与海洋工程重点实验室(2009-2011)
Corresponding Author周正华
Recommended Citation
GB/T 7714
周正华,魏景芝,王玉石,等. 修正算子γB_0~0的物理含义及精度分析[J]. 计算力学学报,2011,28(1):20-24.
APA 周正华,魏景芝,王玉石,王伟,&丁桦.(2011).修正算子γB_0~0的物理含义及精度分析.计算力学学报,28(1),20-24.
MLA 周正华,et al."修正算子γB_0~0的物理含义及精度分析".计算力学学报 28.1(2011):20-24.
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