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SIAMNUM
2010
120views more  SIAMNUM 2010»
13 years 1 days ago
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334
Jian-Guo Liu, Luc Mieussens
SIAMSC
2008
116views more  SIAMSC 2008»
13 years 5 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
SIAMSC
2010
129views more  SIAMSC 2010»
13 years 3 months ago
A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation
In this paper we extend the micro-macro decomposition based asymptotic-preserving scheme developed in [3] for the single species Boltzmann equation to the multispecies problems. A...
Shi Jin, Yingzhe Shi
JSCIC
2011
113views more  JSCIC 2011»
13 years 7 days ago
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation
In this paper, we study a time discrete scheme for the initial value problem of the ES-BGK kinetic equation. Numerically solving these equations are challenging due to the nonlinea...
Francis Filbet, Shi Jin