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Title: An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps
Author: Onskog T; Zhang J
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Issued Date: 2015-12-15
Volume: 440, Pages:139-146
Abstract: 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.
Keyword: Ratified gas flows ; Fokker-Planck equation ; Langevin simulation ; Boundary conditions ; Stochastic differential equations ; First hitting time
Language: 英语
Indexed Type: SCI ; EI
Corresponding Author: Onskog, T (reprint author), KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden.
Correspondent Email: onskog@kth.se ; zhangjun04@foxmail.com
DOI: 10.1016/j.physa.2015.07.003
Related URLs: 查看原文
DOC Type: 期刊论文
WOS Subject: Physics, Multidisciplinary
WOS Subject Extended: Physics
WOS Keyword Plus: GREEN-KUBO FORMULAS ; RAREFIED-GAS FLOWS ; ERROR
WOS ID: WOS:000362619500016
ISSN: 0378-4371
Funder: 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.
Rank: [Onskog, Thomas] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden; [Zhang, Jun] Univ Strathclyde, Dept Mech & Aerosp Engn, James Weir Fluids Lab, Glasgow G1 1XJ, Lanark, Scotland; [Zhang, Jun] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
Classification: 二类/Q2
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/58398
Appears in Collections:高温气体动力学国家重点实验室_期刊论文

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