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• W2080172783 abstract "In this article, we propose a numerical scheme to solve the Kac model of the Boltzmann equation for multiscale rarefied gas dynamics. Formally, this scheme is shown to be 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." @default.
• W2080172783 created "2016-06-24" @default.
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• W2080172783 date "2009-10-28" @default.
• W2080172783 modified "2023-10-04" @default.
• W2080172783 title "An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit" @default.
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• W2080172783 doi "https://doi.org/10.1007/s00161-009-0116-2" @default.
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