Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor
文献类型：期刊论文
| 作者 | Yan, GW; Yuan, L |
| 刊名 | PHYSICA D
 |
| 出版日期 | 2001-06-01 |
| 卷号 | 154期号:1-2页码:43-50 |
| 关键词 | lattice BGK model multiscale technique Lorenz attractor |
| ISSN号 | 0167-2789 |
| 英文摘要 | In this paper, we propose a new lattice Bhatnagar-Gross-Krook model for simulation of the Lorenz attractor. The new model is based on a nonlinear diffusion-reaction system. We formulate a lattice Bhatnagar-Gross-Krook model for the nonlinear diffusion-reaction system by using a method of higher moments of the lattice Boltzmann equation. As a special case where the diffusion effect disappears, we get the Lorenz equation. In the model, we obtain a series of lattice Boltzmann equations at different lime scales, and the conservation law at time scale t(0). The equilibrium distribution functions are simpler than those for the standard lattice Boltzmann model. The numerical examples show that the method can be used to simulate the Lorenz equation. (C) 2001 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168916100004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15934]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yan, GW |
| 作者单位 | 1.Jilin Univ, Dept Math, Sect Mech, Changchun 130023, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, GW,Yuan, L. Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor[J]. PHYSICA D,2001,154(1-2):43-50. |
| APA | Yan, GW,&Yuan, L.(2001).Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor.PHYSICA D,154(1-2),43-50. |
| MLA | Yan, GW,et al."Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor".PHYSICA D 154.1-2(2001):43-50. |
入库方式： OAI收割
来源：数学与系统科学研究院
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