2019/02/20 by Gabriella Puppo, Puppo, Gabriella · 2 citations
Engineering · Mathematics · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA) #Radiative Heat Transfer Studies
paper · pdf · doi:10.48550/arxiv.1902.08311
openalex publication_date 2019/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This minicourse contains a description of recent results on the modelling of rarefied gases in weakly non equilibrium regimes, and the numerical methods used to approximate the resulting equations. Therefore this work focuses on BGK type approximations, rather than on full Boltzmann models. Within this framework, models for polyatomic gases and for mixtures will be considered. We will also address numerical issues characteristic of the difficulties one encounters when integrating kinetic equations. In particular, we will consider asymptotic preserving schemes, which are designed to approximate equilibrium solutions, without resolving the fast scales of the approach to equilibrium.