Orateur
Julien Mathiaud
(Rennes)
Description
The unified gas kinetic scheme (UGKS) was initially designed to address
multiscale challenges in rarefied gas dynamics and then extended to
radiative transfert theory, as described by BGK like relaxation models.
In this talk, we extend its application to linear kinetic models with
non isotropic scattering collision operators, as well as Fokker-Planck
models . These problems typically exhibit a fully diffusive nature in
the optically thick limit (corresponding to a small Knudsen number). It
still leads to an asymptotic preserving (AP) property not only in this
diffusive regime but also in the free transport limit. A series of
numerical experiments confirm the effectiveness of the approach.