Discrete velocity method in the theory of kinetic equations

1993

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DOI 10.1080/00411459308203533
Data confidence 70 medium
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Abstract

A general method of constructing the discrete models for the Boltzmann equation is suggested. This method allows us to get the discrete models which approximate the Boltzmann equation in any bounded domain of the velocity space and preserve the main properties of this equation-the conservation laws and H-theorem. Three different types of discrete models, depending on the kind of the differential collision cross-section, are considered.