Existence of the H theorem for the athermal lattice Boltzmann models with nonpolynomial equilibria

TL;DR

This paper derives the entropy function for a 2D seven-velocity lattice Boltzmann model on a triangular lattice, addressing stability and accuracy issues related to nonpolynomial equilibria.

Contribution

It introduces the entropy function for the model with nonpolynomial equilibria, extending the theoretical understanding of its stability properties.

Findings

Entropy function explicitly derived for the model

Discussion of stability and accuracy issues

Insights into nonpolynomial equilibrium effects

Abstract

The entropy function is found for the two-dimensional seven-velocity lattice Boltzmann method on a triangular lattice. Some issues pertinent to the stability and accuracy of the seven velocity lattice Boltzmann method are discussed.