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Analysis of Numerical Errors in the DSMC Method
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fedosov, Dmitry A. Rogasinsky, S. V. Zeifman, Michael Ivanov, M. S. Alexeenko, Alina A. Levin, Deborah A. |
| Copyright Year | 2005 |
| 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://engineering.purdue.edu/~alexeenk/papers/589_1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Direct simulation Monte Carlo Flow Genetic Translation Process Hearing Loss, High-Frequency Leucaena pulverulenta Monte Carlo method Newton's method Numerical method Prp19 complex Sample Variance Total Number |
| Content Type | Text |
| Resource Type | Article |