Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit

Published

Journal Article

We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31 (2008), pp. 334-368] for linear transport equations in kinetic and diffusive regimes. We prove that the scheme is uniformly stable and accurate with respect to the mean free path of the particles. This property is satisfied under an explicitly given CFL condition. This condition tends to a parabolic CFL condition for small mean free paths and is close to a convection CFL condition for large mean free paths. Our analysis is based on very simple energy estimates. © 2010 Society for Industrial and Applied Mathematics.

Full Text

Duke Authors

Cited Authors

  • Liu, JG; Mieussens, L

Published Date

  • January 1, 2010

Published In

Volume / Issue

  • 48 / 4

Start / End Page

  • 1474 - 1491

International Standard Serial Number (ISSN)

  • 0036-1429

Digital Object Identifier (DOI)

  • 10.1137/090772770

Citation Source

  • Scopus