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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 3, Pages 317–330
DOI: https://doi.org/10.15372/SJNM20160306 (Mi sjvm620) 		 
Evaluation of statistical error when calculating velocity and temperature components by the direct simulation Monte Carlo method

M. Yu. Plotnikova, E. V. Shkarupab

a S. S. Kutateladze Institute of Thermophysics SB RAS, 1 Lavrentiev pr., Novosibirsk, 630090, Russia
b Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.15372/SJNM20160306
Abstract: The direct simulation Monte Carlo method is now widely used to solve the problems of rarefied gas dynamics. While solving stationary problems a special feature of the method is using dependent sample values of random variables to calculate macroparameters of a gas flow. In this paper, the possibility of using the results of statistical physics to estimate the statistical error of the DSMC method is theoretically analyzed. A simple approach to approximate evaluating the statistical error while calculating components of the velocity and temperature is proposed. The approach is tested on a number of problems.
Key words: direct simulation Monte Carlo method, statistical error, equilibrium statistical physics.
Funding agency Grant number
Russian Foundation for Basic Research 14-08-00534
15-01-00894
15-01-08988
16-01-00530
Received: 15.09.2015
Revised: 04.02.2016
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 3, Pages 246–256
DOI: https://doi.org/10.1134/S199542391603006X
Bibliographic databases:
Document Type: Article
UDC: 519.245
Language: Russian
Citation: M. Yu. Plotnikov, E. V. Shkarupa, “Evaluation of statistical error when calculating velocity and temperature components by the direct simulation Monte Carlo method”, Sib. Zh. Vychisl. Mat., 19:3 (2016), 317–330; Num. Anal. Appl., 9:3 (2016), 246–256
Citation in format AMSBIB
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