Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations

Authors:
J. A. Carrillo;T. Goudon;P. Lafitte;F. Vecil
Affiliations:
ICREA and Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Spain 08193;Team SIMPAF---INRIA Futurs and Laboratoire Paul Painlevé, UMR 8524, CNRS---Université des Sciences et Technologies de Lille, Villeneuve d'Ascq Cedex, France 59655;Team SIMPAF---INRIA Futurs and Laboratoire Paul Painlevé, UMR 8524, CNRS---Université des Sciences et Technologies de Lille, Villeneuve d'Ascq Cedex, France 59655;Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Spain 08193
Venue:
Journal of Scientific Computing
Year:
2008

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Abstract

We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entropy minimization. We introduce a specific asymptotic-induced numerical strategy which is able to treat the stiff terms of the asymptotic diffusive regime. We evaluate on numerics the performances of the method and the abilities of the reduced models to capture the main features of the full kinetic equation.