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An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 2
2015 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 440, 139-146 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2015. Vol. 440, 139-146 p.
Keyword [en]
Ratified gas flows, Fokker-Planck equation, Langevin simulation, Boundary conditions, Stochastic differential equations, First hitting time
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-122906DOI: 10.1016/j.physa.2015.07.003ISI: 000362619500016OAI: oai:DiVA.org:su-122906DiVA: diva2:871948
Available from: 2015-11-17 Created: 2015-11-11 Last updated: 2015-11-17Bibliographically approved

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