格子ボルツマン法における内部自由度を有する格子BGKモデルの提案

概要

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This study is concerned with the proposal of a lattice BGK model with the internal degrees of freedom in the lattice Boltzmann method, which is a numerical method on the assumption that a fluid consists of many microscopic particles repeating the translation and the collison. The collision operator in the lattice BGK model employs the single time relaxation parameter introduced by Bhatnagar, Gross, and Krook in order to simplify the collision term in the Boltzmann equation. The particles in this model possess another freedom of enegy in addition to the energy of translation, and the internal degree of freedom increases. We assume that this energy distribution can approach the equilibrium state through the collision with the same manner as the number density of particles. In the numerical simulations of fluid flows, the results obtained by this model agree well with those by the finite difference method.
1999-01-25