On the basic concepts of the direct simulation Monte Carlo method

In this paper, the basic ideas underlying the Direct Simulation Monte Carlo (DSMC) method are examined and a novel nonhomogeneous N-particle kinetic equation describing the randomized mathematical model of DSMC is derived. It is shown that different collision-partner selection schemes, including No-...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 31; no. 6
Main Author Stefanov, S. K.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.06.2019
Subjects
Boltzmann transport equation
Computer simulation
Direct simulation Monte Carlo method
Fluid dynamics
Kinetic equations
Mathematical analysis
Mathematical models
Physics
Randomization
Rarefied gases
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Summary:In this paper, the basic ideas underlying the Direct Simulation Monte Carlo (DSMC) method are examined and a novel nonhomogeneous N-particle kinetic equation describing the randomized mathematical model of DSMC is derived. It is shown that different collision-partner selection schemes, including No-Time-Counter (NTC) and Bernoulli-trials schemes, are approximations of the general transition operator of the randomized model. The popular collision-partner selection schemes, represented by the standard NTC and Bernoulli-trials approximations of the general transition operator, represented by Simplified Bernoulli-trials and Generalized Bernoulli-trials schemes, are tested on the one-dimensional rarefied gas heat transfer problem against conditions of two approximation limits: first, leading to the Boltzmann equation and, second, leading to the novel N-particle kinetic one.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5099042