Estimating the statistical error in calculating velocity and temperature components by the direct simulation Monte Carlo method
Autor: | E. V. Shkarupa, M. Yu. Plotnikov |
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Rok vydání: | 2016 |
Předmět: |
Numerical Analysis
Numerical analysis Monte Carlo method 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics 010101 applied mathematics Hybrid Monte Carlo 0103 physical sciences Dynamic Monte Carlo method Monte Carlo method in statistical physics Statistical physics Direct simulation Monte Carlo Kinetic Monte Carlo 0101 mathematics Monte Carlo molecular modeling Mathematics |
Zdroj: | Numerical Analysis and Applications. 9:246-256 |
ISSN: | 1995-4247 1995-4239 |
DOI: | 10.1134/s199542391603006x |
Popis: | The direct simulation Monte Carlo (DSMC) method is widely used to solve problems in rarefied gas dynamics. In solving steady state problems, a special feature of the method is in using dependent sample values of random variables to calculate the macroparameters of gas flow. In this paper, the possibilities of methods of statistical physics to estimate the statistical error of the DSMC method are theoretically analyzed. A simple approach to approximate estimation of the statistical error in calculating temperature and velocity components is proposed. The approach is tested on a number of problems. |
Databáze: | OpenAIRE |
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