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A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS

文献类型：期刊论文

作者Huang, Jizu1; Yang, Chao2,3; Cai, Xiao-Chuan4
刊名SIAM JOURNAL ON SCIENTIFIC COMPUTING
出版日期2015
卷号37期号:5页码:S291-S313
关键词lattice Boltzmann equations fully implicit method Newton-Krylov-RAS domain decomposition parallel scalability
ISSN号1064-8275
DOI10.1137/140975346
英文摘要Existing approaches for solving the lattice Boltzmann equations with finite difference methods are explicit and semi-implicit; both have certain stability constraints on the time step size. In this work, a fully implicit second-order finite difference scheme is developed. We focus on a parallel, highly scalable, Newton-Krylov-RAS algorithm for the solution of a large sparse nonlinear system of equations arising at each time step. Here, RAS is a restricted additive Schwarz preconditioner based on a first-order spatial discretization. We show numerically that by using the fully implicit method the time step size is no longer constrained by the CFL condition, and the Newton-Krylov-RAS algorithm is scalable on a supercomputer with more than ten thousand processors. Moreover, to calculate the steady state solution we investigate an adaptive time stepping strategy. The total compute time required by the implicit method with adaptive time stepping is much smaller than that of an explicit method for several test cases.
资助项目NSFC[61170075] ; NSFC[61120106005] ; NSFC[91330111] ; 973 program[2011CB309701] ; NSF[CCF-1216314] ; 863 program[2015AA01A302] ; Shenzhen grant[KQCX20130628112914303]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000364457000033
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21216]  
专题计算数学与科学工程计算研究所
通讯作者Cai, Xiao-Chuan
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China
3.State Key Lab Comp Sci, Beijing 100190, Peoples R China
4.Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USA
推荐引用方式
GB/T 7714		 Huang, Jizu,Yang, Chao,Cai, Xiao-Chuan. A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2015,37(5):S291-S313.
APA Huang, Jizu,Yang, Chao,&Cai, Xiao-Chuan.(2015).A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,37(5),S291-S313.
MLA Huang, Jizu,et al."A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 37.5(2015):S291-S313.

入库方式： OAI收割

来源：数学与系统科学研究院

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