Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

Details Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

2010-07-16

arxiv.org/abs/1007.2843v1

Mathematics

Analysis of PDEs

34 pages, 1 figure

Scientific paper

Recently, a new class of semi-Lagrangian methods for the BGK model of the Boltzmann equation has been introduced [8, 17, 18]. These methods work in a satisfactory way either in rarefied or fluid regime. Moreover, because of the semi-Lagrangian feature, the stability property is not restricted by the CFL condition. These aspects make them very attractive for practical applications. In this paper, we investigate the convergence properties of the method and prove that the discrete solution of the scheme converges in a weighted L1 norm to the unique smooth solution by deriving an explicit error estimate.

Affiliated with

Also associated with

No associations

Rating

Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51846