Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376339 | Physica A: Statistical Mechanics and its Applications | 2018 | 11 Pages |
Abstract
In this paper, we are concerned with the stability of some lattice kinetic schemes. First, we show that a recently proposed lattice kinetic scheme is a two-relaxation-time model different from those in the literature. Second, we analyze the stability of the model by verifying the Onsager-like relation. In addition, a necessary stability criterion for hyperbolic relaxation systems is adapted to the lattice Boltzmann method. As an application of this criterion, we find some necessary stability conditions for a previously proposed lattice kinetic scheme. Numerical experiments are conducted to validate the necessary stability conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Weifeng Zhao, Liang Wang, Wen-An Yong,