Numerical Studies Based on Higher-Order Accuracy Lattice Boltzmann Model   for the Complex Ginzburg-Landau Equation

doi:10.1007/s10915-011-9565-4

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	Numerical Studies Based on Higher-Order Accuracy Lattice Boltzmann Model for the Complex Ginzburg-Landau Equation
	Zhang, Jianying ; Yan, Guangwu
刊名	journal of scientific computing
	2012
关键词	Lattice Boltzmann model Complex distribution function Ccomplex Ginzburg-Landau equation Higher-order accuracy Spiral wave NONLINEAR SCHRODINGER-EQUATION NAVIER-STOKES EQUATION REACTION-DIFFUSION QUANTUM-MECHANICS BURGERS-EQUATION SIMULATING FLOWS GAS MODEL WAVE SOLITONS REPRESENTATIONS
DOI	10.1007/s10915-011-9565-4
英文摘要	In this paper, a higher-order accuracy lattice Boltzmann model for the complex Ginzburg-Landau equation 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 to improve the accuracy of the model for the complex partial differential equation with nonlinear source term. As results, the complex Ginzburg-Landau equation is recovered with the fourth-order accuracy of truncation error. Based on this model, the problems of a single spiral wave in two-dimensional (2D) space and a single scroll in three-dimensional (3D) space are implemented to test the lattice Boltzmann scheme. The comparisons between the LBM results and the Alternative Direction Implicit results are given in detail. The numerical examples show that assumptions of source term can be used to raise the accuracy of the truncation error of the lattice Boltzmann scheme for the complex Ginzburg-Landau equation.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000306588600009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 5; ARTICLE; 3; 656-674; 52
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154595]
专题	工学院
推荐引用方式 GB/T 7714	Zhang, Jianying,Yan, Guangwu. Numerical Studies Based on Higher-Order Accuracy Lattice Boltzmann Model for the Complex Ginzburg-Landau Equation[J]. journal of scientific computing,2012.
APA	Zhang, Jianying,&Yan, Guangwu.(2012).Numerical Studies Based on Higher-Order Accuracy Lattice Boltzmann Model for the Complex Ginzburg-Landau Equation.journal of scientific computing.
MLA	Zhang, Jianying,et al."Numerical Studies Based on Higher-Order Accuracy Lattice Boltzmann Model for the Complex Ginzburg-Landau Equation".journal of scientific computing (2012).