An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps
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
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.
Ratified gas flows, Fokker-Planck equation, Langevin simulation, Boundary conditions, Stochastic differential equations, First hitting time
IdentifiersURN: urn:nbn:se:kth:diva-176321DOI: 10.1016/j.physa.2015.07.003ISI: 000362619500016ScopusID: 2-s2.0-84941242089OAI: oai:DiVA.org:kth-176321DiVA: diva2:871907
QC 201511172015-11-172015-11-032015-11-25Bibliographically approved