Discrete-Ordinates and Streamline Diffusion Methods for a Flow Described by BGK Model
Journal article, 2014

A rarefied gas flow through a channel with arbitrary cross section is studied based on the linearized Bhatnagar-Gross-Krook model. The discrete velocity and streamline diffusion finite element methods are combined to yield a numerical scheme. For this scheme we derive stability and optimal convergence rates in the L-2-type norms. The optimality is due to the maximal available regularity of the exact solution for the corresponding hyperbolic PDE. The potential of the proposed, combined methods is illustrated with some numerical examples.


rarefied gas


linearized BGK model

discrete velocity

streamline diffusion


Mohammad Asadzadeh

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Ehsan Kazemi

Isfahan University of Technology

Chalmers, Mathematical Sciences, Mathematics

R. Mokhtari

Isfahan University of Technology

SIAM Journal of Scientific Computing

1064-8275 (ISSN) 1095-7197 (eISSN)

Vol. 36 4 B729-B748

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