An efficient particle Fokker-Planck algorithm for rarefied gas flows

摘要: This paper is devoted to the algorithmic improvement and careful analysis of Fokker-Planck kinetic model derived by Jenny et al. [1] Gorji [2]. The motivation behind based particle methods gain efficiency in low Knudsen rarefied gas flow simulations, where conventional direct simulation Monte Carlo (DSMC) becomes expensive. can be achieved due fact that resulting equations are continuous stochastic differential velocity space. Accordingly, computational particles evolve along independent paths thus no collision needs calculated. Therefore cost solution algorithm number. In present study, different improvements were persuaded order augment method, including an accurate time integration scheme, local stepping noise reduction. For assessment performance, around a cylinder lid driven cavity studied. Convergence rates, accuracy costs compared with respect DSMC for range numbers (from hydrodynamic regime up above one). all considered cases, together proposed scheme give rise very efficient yet algorithms.