On the moment system and a flexible Prandtl number

Abstract

The Maxwell-Boltzmann moment system can be seen as a particular case of a mathematically more general moment system proposed by Machado in Ref [1]. This last moment system, whose integral generating form and a suggested continuous distribution are presented here, is used in this letter to theoretically show (one of) its 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 collision model.

Re-organized (etc) version in order to be similar to the submitted one

References in corpus (3)

• Multiple-Relaxation-Time Lattice Boltzmann Approach to Compressible Flows with Flexible Specific-Heat Ratio and Prandtl Number
• Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows
• Nonequilibrium entropy limiters in lattice Boltzmann methods

Cited by in corpus (1)

• Nonequilibrium and morphological characterizations of Kelvin-Helmholtz instability in compressible flows