Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor

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	Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor
	Yan, GW ; Yuan, L
	2001-06-01
发表期刊	PHYSICA D
ISSN	0167-2789
卷号	154 期号:1-2 页码:43-50
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.
关键词	lattice BGK model multiscale technique Lorenz attractor
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000168916100004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15935
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.