An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit
Langue
en
Article de revue
Ce document a été publié dans
Continuum Mechanics and Thermodynamics. 2009, vol. 21, n° 5, p. 401-421
Springer Verlag
Résumé en anglais
In this paper we propose a numerical scheme to solve the Kac model of the Boltzmann equation for multiscale rarefied gas dynamics. This scheme is uniformly stable with respect to the Knudsen number, consistent with the ...Lire la suite >
In this paper we propose a numerical scheme to solve the Kac model of the Boltzmann equation for multiscale rarefied gas dynamics. This scheme is uniformly stable with respect to the Knudsen number, consistent with the fluid-diffusion limit for small Knudsen numbers, and with the Kac equation in the kinetic regime. Our approach is based on the micro-macro decomposition which leads to an equivalent formulation of the Kac model that couples a kinetic equation with macroscopic ones. This method is validated with various test cases and compared to other standard methods.< Réduire
Mots clés en anglais
kinetic-equations
numerical schemes
relaxation schemes
gas
Origine
Importé de halUnités de recherche