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题名Numerical solution of convected wave equation in free field using artificial boundary method
作者
发表日期2024-11-01
发表期刊Numerical Methods for Partial Differential Equations
ISSN/eISSN0749-159X
卷号40期号:6
摘要

In this article, we propose two procedures focusing on the computation of the time-dependent convected wave equation in a free field with a uniform background flow. Both procedures are based on a framework, expended from Du et al. (SIAM J. Sci. Comput. 40 (2018), A1430–A1445.), of constructing the Dirichlet-to-Dirichlet (DtD)-type discrete absorbing boundary conditions (ABCs). The first procedure is dedicated to reducing the infinite problem into a finite problem by a direct application of the framework on the finite difference discretization of the convected wave equation. However, the presence of convection terms makes the stability analysis hard to implement, which motivates us to develop the second procedure. First, the convected wave equation is transformed into a standard wave equation by using the Prandtl-Glauert-Lorentz transformation. After that, we obtain the DtD-type ABC by using the above framework, and on this basis, derive an equivalent Dirichlet-to-Neumann-type ABCs, which makes stability and convergence analysis easy to be obtained by the classical energy method. The effectiveness and comparison of these two procedures are investigated through numerical experiments.

关键词artificial boundary method convected wave equation DtD-type absorbing boundary conditions DtN-type absorbing boundary conditions free field Prandtl-Glauert-Lorentz transformation stability analysis
DOI10.1002/num.23131
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:001278739200001
Scopus入藏号2-s2.0-85199980587
引用统计
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/11956
专题理工科技学院
通讯作者Zhang, Jiwei
作者单位
1.School of Mathematics and Statistics,Wuhan University,Wuhan,China
2.Research Center for Applied Mathematics and Machine Intelligence,Zhejiang Lab,Hangzhou,China
3.Research Center for Mathematics,Beijing Normal University,Zhuhai,China
4.Division of Science and Technology,BNU-HKBU United International College,Zhuhai,China
5.Hubei Key Laboratory of Computational Science,Wuhan University,Wuhan,China
推荐引用方式
GB/T 7714
Wang, Xin,Wang, Jihong,Di, Yanaet al. Numerical solution of convected wave equation in free field using artificial boundary method[J]. Numerical Methods for Partial Differential Equations, 2024, 40(6).
APA Wang, Xin, Wang, Jihong, Di, Yana, & Zhang, Jiwei. (2024). Numerical solution of convected wave equation in free field using artificial boundary method. Numerical Methods for Partial Differential Equations, 40(6).
MLA Wang, Xin,et al."Numerical solution of convected wave equation in free field using artificial boundary method". Numerical Methods for Partial Differential Equations 40.6(2024).
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