Numerical solution of the Boltzmann equation for the shock wave in a gas mixture

2014/03/13 by A. A. Raines, Raines, A. A.
Engineering · Mathematics · Physics and Astronomy · #Combustion and Detonation Processes #Gas Dynamics and Kinetic Theory #Laser-Plasma Interactions and Diagnostics #msc:65R20 #msc:76L05 #msc:76P05 #msc:82B40 #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1403.3230

Latex2e, 12 pages, 14 figures

arxiv created 2014/03/13 · arxiv updated 2014/03/14

Abstract

We study the structure of a shock wave for a two-, three- and four-component gas mixture on the basis of numerical solution of the Boltzmann equation for the model of hard sphere molecules. For the evaluation of collision integrals we use the Conservative Projection Method developed by F.G. Tscheremissine which we extended to gas mixtures in cylindrical coordinates. The transition from the upstream to downstream uniform state is presented by macroscopic values and distribution functions. The obtained results were compared with numerical and experimental results of other authors.

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