On the moment system and a flexible Prandtl number

摘要

The Maxwell-Boltzmann moment system can be seen as a particular case of a mathematically more general moment system proposed by Machado.~1 These last moments, of which a suggested continuous distribution and an integral generating form are presented here for some orders, are used in this paper to theoretically show (one of) their usefulness: A flexible Prandtl number can be obtained in both the Boltzmann equation and in the lattice Boltzmann equation with a conventional single relaxation time Bhatnagar-Gross-Krook (BGK) collision model.