An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit
Idioma
en
Article de revue
Este ítem está publicado en
Continuum Mechanics and Thermodynamics. 2009, vol. 21, n° 5, p. 401-421
Springer Verlag
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
kinetic-equations
numerical schemes
relaxation schemes
gas
Orígen
Importado de HalCentros de investigación