Hermite spectral method for multi-species Boltzmann equation

doi:10.1016/j.jcp.2022.111650

CSpace

	Hermite spectral method for multi-species Boltzmann equation
	Li, Ruo 1; Lu, Yixiao 2,3; Wang, Yanli 4; Xu, Haoxuan 5,6
	2022-12-15
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	471 页码:29
摘要	We introduce a numerical scheme for the full multi-species Boltzmann equation based on Hermite spectral method. With the proper choice of expansion centers for different species, a practical algorithm is derived to evaluate the complicated multi-species binary collision operator. New collision models are built by combining the quadratic collision model and the simple BGK collision model under the framework of the Hermite spectral method, which enables us to balance the computational cost and accuracy. Several numerical experiments are implemented to validate the dramatic efficiency of this new Hermite spectral method. Moreover, we can handle the problems with as many as 100 species, which is far beyond the capability of the state-of-art algorithms.(c) 2022 Elsevier Inc. All rights reserved.
关键词	Multi-species Boltzmann equation Multi-species binary collision operator Hermite spectral method
DOI	10.1016/j.jcp.2022.111650
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China ; National Natural Science Foundation of China ; [2020YFA0712000] ; [12171026] ; [U1930402] ; [12031013]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000868319100001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60744
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Yanli
作者单位	1.Peking Univ, LMAM & Sch Math Sci, CAPT, Beijing, Peoples R China 2.Peking Univ, Ctr Appl Phys & Technol, HEDPS, Beijing 100871, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Beijing Computat Sci Res Ctr, Beijing, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 6.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Li, Ruo,Lu, Yixiao,Wang, Yanli,et al. Hermite spectral method for multi-species Boltzmann equation[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2022,471:29.
APA	Li, Ruo,Lu, Yixiao,Wang, Yanli,&Xu, Haoxuan.(2022).Hermite spectral method for multi-species Boltzmann equation.JOURNAL OF COMPUTATIONAL PHYSICS,471,29.
MLA	Li, Ruo,et al."Hermite spectral method for multi-species Boltzmann equation".JOURNAL OF COMPUTATIONAL PHYSICS 471(2022):29.