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Discrete-Ordinates and Streamline Diffusion Methods for a Flow Described by BGK Model

Mohammad Asadzadeh (Institutionen för matematiska vetenskaper) ; E. Kazemi ; R. Mokhtari
SIAM Journal on Scientific Computing (1064-8275). Vol. 36 (2014), 4, p. B729-B748.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: rarefied gas, linearized BGK model, discrete velocity, streamline diffusion, stability, convergence

Denna post skapades 2014-12-16. Senast ändrad 2015-02-18.
CPL Pubid: 208317


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