| General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation | |
| Hu WQ; Jia SL | |
| Source Publication | APPLIED MATHEMATICS LETTERS
 |
| 2019-05-01 | |
| Volume | 91Pages:61-67 |
| ISSN | 0893-9659 |
| Abstract | In 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. |
| Keyword | General propagation lattice Boltzmann model Variable-coefficient non-isospectral KdV equation Numerical simulations Soliton solutions |
| DOI | 10.1016/j.aml.2018.12.002 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000459230600010 |
| WOS Research Area | Mathematics, Applied |
| WOS Subject | Mathematics |
| Classification | 一类 |
| Ranking | 2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/78483 |
| Collection | 微重力重点实验室 |
| Affiliation | 1.{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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| Jp2019061.pdf（799KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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