Discrete-Ordinates and Streamline Diffusion Methods for a Flow Described by BGK Model
Artikel i vetenskaplig tidskrift, 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.

stability

convergence

rarefied gas

linearized BGK model

discrete velocity

streamline diffusion

Författare

Mohammad Asadzadeh

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

E. Kazemi

Chalmers University of Technology

Isfahan University of Technology

R. Mokhtari

Isfahan University of Technology

SIAM Journal of Scientific Computing

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

Vol. 36 B729-B748

Ämneskategorier

Matematik

DOI

10.1137/120885747