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波动数值模拟中的吸收边界条件
Alternative TitleABSORBING BOUNDARY CONDITION IN NUMERICAL SIMULATION OF WAVE PROPAGATION PROBLEMS
郭立伟; 刘晓宇; 李世海
Source Publication工程力学
2011
Volume28Issue:9Pages:17-22,29
ISSN1000-4750
Abstract为了提高人工边界条件在波动输入边界和自由场边界的精度,该文扩展了Higdon一阶吸收边界条件,并编制了相应的有限元计算程序。该方法将输入波分量引入到Higdon吸收边界条件当中,利用最小二乘法,用吸收边界邻域内的应变场和速度场计算Higdon边界条件公式中的参数,实现了吸收边界条件的自动更新。并且,该文提出了既适用于波动输入边界又适用于自由场边界的速度边界和力边界两种吸收边界条件。算例表明,与传统人工边界条件相比,该文建议的吸收边界条件具有良好的模拟效果。
Other AbstractThe first-order absorbing boundary condition is extended to improve accuracy both on the free field boundary and the input wave boundary.The computer program of this absorbing boundary condition is based on finite element method.The input wave is introduced into Higdon’s boundary condition by using least-squares method,while the parameters in Higdon’s operator are estimated by the nodal strain and velocity fields inside absorbing boundary.As a result,the absorbing boundary condition is updated automatically.The velocity boundary condition and the force boundary condition are proposed to absorb reflected wave both on the free field boundary and the input wave boundary.Numerical examples show that the proposed boundary conditions have much higher accuracy compared with the conventional artificial boundary conditions. 
Keyword波动 吸收边界条件 波动输入边界 自由场边界 有限元
Subject Area力学
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Indexed ByEI ; CSCD
Language中文
Funding Organization国家973项目(2010CB731506);中国科学院重要方向性项目(KJCX2-YW-L01);铁道部科技研究开发计划(2008G027-E)
CSCD IDCSCD:4327533
DepartmentLMFS工程地质体力学(LEM)
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45003
Collection环境力学重点实验室(2009-2011)
Corresponding Author郭立伟
Recommended Citation
GB/T 7714
郭立伟,刘晓宇,李世海. 波动数值模拟中的吸收边界条件[J]. 工程力学,2011,28(9):17-22,29.
APA 郭立伟,刘晓宇,&李世海.(2011).波动数值模拟中的吸收边界条件.工程力学,28(9),17-22,29.
MLA 郭立伟,et al."波动数值模拟中的吸收边界条件".工程力学 28.9(2011):17-22,29.
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