A Lattice Boltzmann Model for the Reaction-Diffusion Equations with   Higher-Order Accuracy

doi:10.1007/s10915-011-9530-2

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	A Lattice Boltzmann Model for the Reaction-Diffusion Equations with Higher-Order Accuracy
	Zhang, Jianying ; Yan, Guangwu
刊名	journal of scientific computing
	2012
关键词	Lattice Boltzmann method Reaction-diffusion equations Fitzhugh-Nagumo equations NAVIER-STOKES EQUATION BURGERS-EQUATION POISSON EQUATION EXCITABLE MEDIA SPIRAL WAVES LIQUID-GAS SIMULATION SYSTEMS FLOW AUTOMATA
DOI	10.1007/s10915-011-9530-2
英文摘要	In this paper, a lattice Boltzmann model based on the higher-order moment method for the reaction-diffusion equations is proposed. In order to obtain higher-order accuracy of truncation error and to overcome the drawbacks of "error rebound" in the previous models, a new assumption of additional distribution is presented. As results, the reaction-diffusion equations are recovered with the fourth-order accuracy of truncation error. Based on this model, the Fitzhugh-Nagumo equations are simulated. The comparisons between the LBM results and the Alternative Direction Implicit (ADI) results are given in detail. The numerical examples show that the higher-order moment method can be used to raise the accuracy of the truncation error of the lattice Boltzmann scheme for the reaction-diffusion equations.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000304211100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 4; ARTICLE; 1; 1-16; 52
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154614]
专题	工学院
推荐引用方式 GB/T 7714	Zhang, Jianying,Yan, Guangwu. A Lattice Boltzmann Model for the Reaction-Diffusion Equations with Higher-Order Accuracy[J]. journal of scientific computing,2012.
APA	Zhang, Jianying,&Yan, Guangwu.(2012).A Lattice Boltzmann Model for the Reaction-Diffusion Equations with Higher-Order Accuracy.journal of scientific computing.
MLA	Zhang, Jianying,et al."A Lattice Boltzmann Model for the Reaction-Diffusion Equations with Higher-Order Accuracy".journal of scientific computing (2012).