Discrete Velocity Models: A Study of the Hydrodynamic Limit

Abstract

Abstract. We investigate Discrete Velocity Models as a numerical tool for the simulation of rarefied flows in the hydrodynamic limit. The study is based on the analysis of the bifurcation structure of a related linearized transport operator. In combination with a meaningful scaling this produces explicit formulas for the transport coefficients and closure relations depending on details of the model collision operator. The theory is applicable even in cases when the classical asymptotic analysis approach fails or leads to physically irrelevant results [7,8].