@inproceedings{f34fbe1d2e414f65a24877d0d2e60a62,
title = "Analysis of numerical errors in the DSMC method",
abstract = "The direct simulation Monte Carlo (DSMC) method is one of the most popular numerical methods used to model rarefied gas environment flows. In order to predict the accuracy of a solution obtained by the DSMC method we have to be able to estimate its accuracy. In the work presented here we have developed a technique to estimate the numerical accuracy of the DSMC method. This paper presents a derivation of expressions of the variance of the DSMC estimators of number density and translational temperature, and the corresponding comparison with the empirical variance. A discussion of the deterministic numerical errors corresponding to typical DSMC parameters such as the time step, cell volume, and total number of simulated particles is given. Moreover, a comparison of two different DSMC schemes, No Time Counter (NTC) and Majorant Frequency (MF), is made.",
author = "Fedosov, {D. A.} and Rogasinsky, {S. V.} and Zeifman, {M. I.} and Ivanov, {M. S.} and Alexeenko, {A. A.} and Levin, {D. A.}",
note = "Copyright: Copyright 2008 Elsevier B.V., All rights reserved.; 24th International Symposium on Rarefied Gas Dynamics, RGD24 ; Conference date: 10-07-2004 Through 16-07-2004",
year = "2005",
month = may,
day = "16",
doi = "10.1063/1.1941600",
language = "English (US)",
isbn = "0735402477",
series = "AIP Conference Proceedings",
pages = "589--594",
booktitle = "RAREFIED GAS DYNAMICS",
}