Entropy and weak solutions in the LBGK model

2008/10/09 by Ran Zheng, Zheng Ran, Ran, Zheng +3
Engineering · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Navier-Stokes equation solutions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.0810.1562

13pages,2 figures

arxiv created 2008/10/09 · openalex publication_date 2008/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive entropy functions whose local equilibria are suitable to recover the Euler-like equations in the framework of the Lattice Boltzmann method. Numerical examples are also given, which are consistent with the above theoretical arguments.

Related

• Global Mild Solutions to a BGK Model for Barotropic Gas Dynamics
• Existence of the H theorem for the athermal lattice Boltzmann models with nonpolynomial equilibria
• Entropy production estimate for the ES-BGK model with the correct Prandtl number
• Entropic equilibrium for the lattice Boltzmann method: Hydrodynamics and numerical properties
• Global weak solutions to the relativistic BGK equation