Lattice BGK Models for the Navier-Stokes Equation: Nonlinear Deviation in Compressible Regimes
- 20 January 1993
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 21 (3) , 255-259
- https://doi.org/10.1209/0295-5075/21/3/001
Abstract
In this letter, a nonlinear deviation from the Navier-Stokes equation is obtained from the recently proposed LBGK models, which are designed as an alternative to lattice gas or lattice Boltzmann equation. The classical Chapman-Enskog method is extended to derive the nonlinear-deviation term as well as its coefficient. Their analytical expression is derived for the first time, thanks to the simplicity of the LBGK models. A numerical simulation of a shock profile is presented. The influence of the correction on the kinetics of compressible flow is discussed. A complete analysis of the thermodynamics including the temperature will be presented elsewhere.Keywords
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