A high-order Monte Carlo algorithm for the direct simulation of Boltzmann equation

作者：Jahangiri Pouyan; Nejat Amir^*; Samadi Jila; Aboutalebi Ali

来源：Journal of Computational Physics, 2012, 231(14): 4578-4596.

DOI：10.1016/j.jcp.2012.02.029

• Boltzmann equation
• Direct simulation Monte Carlo (DSMC) method
• Rarefied flow regimes
• Higher order collision terms

A high-order algorithm of the direct simulation Monte Carlo (DSMC) method, H-DSMC, has been developed to simulate rarefied flow regimes. The mth order Taylor series expansion has been employed to obtain a more generalized form of the time discretization for the collision part of Boltzmann equation. In the purposed algorithm, the higher order collision terms are introduced as well as higher order terms in the time step of the probabilistic coefficients. These newly implemented higher order terms improve the accuracy and efficiency of the solution and enhance the convergence rate quite significantly. Comparison between results of the classic DSMC method and the H-DSMC method shows the promising performance of the introduced technique.

• 出版日期2012-5-20