An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps

doi:10.1016/j.physa.2015.07.003

	An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps
	Onskog T; Zhang J; Onskog, T (reprint author), KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden.
发表期刊	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2015-12-15
卷号	440 页码:139-146
ISSN	0378-4371
摘要	In this paper, we present a stochastic particle algorithm for the simulation of flows of wall-confined gases with diffuse reflection boundary conditions. Based on the theoretical observation that the change in location of the particles consists of a deterministic part and a Wiener process if the time scale is much larger than the relaxation time, a new estimate for the first hitting time at the boundary is obtained. This estimate facilitates the construction of an algorithm with large time steps for wall-confined flows. Numerical simulations verify that the proposed algorithm reproduces the correct boundary behaviour. (C) 2015 Elsevier B.V. All rights reserved.
关键词	Ratified Gas Flows Fokker-planck Equation Langevin Simulation Boundary Conditions Stochastic Differential Equations First Hitting Time
DOI	10.1016/j.physa.2015.07.003
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000362619500016
关键词[WOS]	GREEN-KUBO FORMULAS ; RAREFIED-GAS FLOWS ; ERROR
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
项目资助者	Jun Zhang was funded partly by the Engineering and Physical Sciences Council (EPSRC) of the UK under grant EP/I011927/1 and partly by the National Natural Science Foundation of China (Grant Nos. 11002147 and 11372325). Simulation results were obtained using the ARCHIE-WeSt High Performance Computer (www.archie-west.ac.uk), under EPSRC grant EP/K000586/1.
论文分区	二类/Q2
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/58398
专题	高温气体动力学国家重点实验室
通讯作者	Onskog, T (reprint author), KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden.
推荐引用方式 GB/T 7714	Onskog T,Zhang J,Onskog, T . An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2015,440:139-146.
APA	Onskog T,Zhang J,&Onskog, T .(2015).An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,440,139-146.
MLA	Onskog T,et al."An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 440(2015):139-146.

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