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General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation
Hu WQ; Jia SL
Source PublicationAPPLIED MATHEMATICS LETTERS
2019-05-01
Volume91Pages:61-67
ISSN0893-9659
AbstractIn this paper, a general propagation lattice Boltzmann model for variable-coefficient non-isospectral Korteweg-de Vries (vc-nKdV) equation, which can describe the interfacial waves in a two layer liquid and Alfven waves in a collisionless plasma, is proposed by selecting appropriate equilibrium distribution function and adding the compensate function. The Chapman-Enskog analysis shows that the vc-nKdV equation can be recovered correctly from the present model. Numerical simulation for the non-propagating one soliton of this equation in different situations is conducted as validation. It is found that the numerical results match well with the analytical solutions, which demonstrates that the current general propagation lattice Boltzmann model is a satisfactory and efficient method, and could be more stable and accurate than the standard lattice Bhatnagar-Gross-Krook model. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordGeneral propagation lattice Boltzmann model Variable-coefficient non-isospectral KdV equation Numerical simulations Soliton solutions
DOI10.1016/j.aml.2018.12.002
Indexed BySCI ; EI
Language英语
WOS IDWOS:000459230600010
WOS Research AreaMathematics, Applied
WOS SubjectMathematics
Classification一类
Ranking2
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/78483
Collection国家微重力实验室
Affiliation1.{Hu, Wen-Qiang} Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China
2.{Jia, Shu-Liang} Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Hu WQ,Jia SL. General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation[J]. APPLIED MATHEMATICS LETTERS,2019,91:61-67.
APA Hu WQ,&Jia SL.(2019).General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation.APPLIED MATHEMATICS LETTERS,91,61-67.
MLA Hu WQ,et al."General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation".APPLIED MATHEMATICS LETTERS 91(2019):61-67.
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