| 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 Publication | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
 |
| 2015-12-15 | |
| Volume | 440Pages:139-146 |
| ISSN | 0378-4371 |
| 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 |
| DOI | 10.1016/j.physa.2015.07.003 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000362619500016 |
| WOS Keyword | GREEN-KUBO FORMULAS ; RAREFIED-GAS FLOWS ; ERROR |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| Funding Organization | 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. |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/58398 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Onskog, 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| J2015-041.pdf（538KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment