An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit

DOI10.1007/s00161-009-0116-2zbMath1234.76041OpenAlexW2080172783MaRDI QIDQ407642

Mohammed Lemou, Mounir Bennoune, Luc Mieussens

Publication date: 27 March 2012

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-009-0116-2

zbMATH Keywords

Hilbert expansionasymptotic preserving schemesKac equationdiffusion limitmicro-macro decomposition

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (5)

Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion-fluid system ⋮ Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation ⋮ An asymptotic preserving scheme for kinetic models for chemotaxis phenomena ⋮ Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit ⋮ Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems

Cites Work

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