An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit
Language
en
Article de revue
This item was published in
Continuum Mechanics and Thermodynamics. 2009, vol. 21, n° 5, p. 401-421
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
English Keywords
kinetic-equations
numerical schemes
relaxation schemes
gas
Origin
Hal imported