TY - JOUR
T1 - Numerical schemes of diffusion asymptotics and moment closures for kinetic equations
AU - Carrillo, J. A.
AU - Goudon, T.
AU - Lafitte, P.
AU - Vecil, F.
PY - 2008/7/1
Y1 - 2008/7/1
N2 - 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. © 2008 Springer Science+Business Media, LLC.
AB - 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. © 2008 Springer Science+Business Media, LLC.
KW - Asymptotic preserving schemes
KW - Diffusion asymptotics
KW - Hyperbolic systems
KW - Moment closure
U2 - 10.1007/s10915-007-9181-5
DO - 10.1007/s10915-007-9181-5
M3 - Article
SN - 0885-7474
VL - 36
SP - 113
EP - 149
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
ER -