2009/05/13 by Nicolas G. Hadjiconstantinou, Hadjiconstantinou, Nicolas G., Gregg Radtke +4
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Phase Equilibria and Thermodynamics #Thermal properties of materials #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.0905.2218
17 pages, 3 figures
arxiv created 2009/05/13 · openalex publication_date 2009/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present and discuss a variance-reduced stochastic particle method for simulating the relaxation-time model of the Boltzmann transport equation. The present paper focuses on the dilute gas case, although the method is expected to directly extend to all fields (carriers) for which the relaxation-time approximation is reasonable. The variance reduction, achieved by simulating only the deviation from equilibrium, results in a significant computational efficiency advantage compared to traditional stochastic particle methods in the limit of small deviation from equilibrium. More specifically, the proposed method can efficiently simulate arbitrarily small deviations from equilibrium at a computational cost that is independent of the deviation from equilibrium, which is in sharp contrast to traditional particle methods.