Geodesic
Evaluation of statistical error when calculating velocity and temperature components by the direct simulation Monte Carlo method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 3, pp. 317-330

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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. 
@article{SJVM_2016_19_3_a5,
     author = {M. Yu. Plotnikov and E. V. Shkarupa},
     title = {Evaluation of statistical error when calculating velocity and temperature components by the direct simulation {Monte} {Carlo} method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {317--330},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2016_19_3_a5/}
}
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M. Yu. Plotnikov; E. V. Shkarupa. Evaluation of statistical error when calculating velocity and temperature components by the direct simulation Monte Carlo method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 3, pp. 317-330. http://geodesic.mathdoc.fr/item/SJVM_2016_19_3_a5/