Semilagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics
Résumé
In this paper we present a new semi-Lagrangian scheme for the numerical solution of the BGK model of rarefied gas dynamics, in a domain with moving boundaries, in view of applications to micro-electro-mechanical systems (MEMS). The source term is treated implicitly, which makes the scheme asymptotic preserving in the limit of small Knudsen number. Because of its Lagrangian nature, no stability restriction is posed on the CFL number, which is determined only by accuracy requirements. The method is tested on a one-dimensional piston problem. The solution for small Knudsen number is compared with the results obtained by the numerical solution of the Euler equation of gas dynamics.
Domaines
Analyse numérique [math.NA]
Origine : Fichiers produits par l'(les) auteur(s)