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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.
Source PublicationPHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
2015-12-15
Volume440Pages:139-146
ISSN0378-4371
AbstractIn 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.
KeywordRatified Gas Flows Fokker-planck Equation Langevin Simulation Boundary Conditions Stochastic Differential Equations First Hitting Time
DOI10.1016/j.physa.2015.07.003
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000362619500016
WOS KeywordGREEN-KUBO FORMULAS ; RAREFIED-GAS FLOWS ; ERROR
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Funding OrganizationJun 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.
Classification二类/Q2
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58398
Collection高温气体动力学国家重点实验室
Corresponding AuthorOnskog, T (reprint author), KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden.
Recommended Citation
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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