Method of calculating the collision integral and solution of the Boltzmann kinetic equation for simple gases, gas mixtures and gases with rotational degrees of freedom

DOI10.1080/00207160.2014.909033zbMath1332.82073OpenAlexW2037074044MaRDI QIDQ3451393

O. I. Dodulad, Yu. A. Anikin, Yu. Yu. Kloss, F. G. Tcheremissine

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.909033

zbMATH Keywords

heat transferBoltzmann equationshock waverotational degrees of freedomgas mixtureconservative method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Applications to the sciences (65Z05) Statistical mechanics of gases (82D05)

Related Items (4)

A fast spectral method for the Boltzmann equation for monatomic gas mixtures ⋮ New computational and statistical models in science and economics ⋮ A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases ⋮ Numerical analysis of the nonlinear plane Couette-flow problem of a rarefied gas for hard-sphere molecules

Cites Work

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• Solution of a kinetic equation for diatomic gas with the use of differential scattering cross sections computed by the method of classical trajectories
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules

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