Quasi-Equilibrium Lattice Boltzmann Method

TL;DR

This paper introduces a versatile lattice Boltzmann method based on quasi-equilibrium models, enabling simulation of fluids with specific transport properties like Schmidt and Prandtl numbers, validated through binary mixture and weakly compressible flow cases.

Contribution

It develops a general lattice Boltzmann framework using quasi-equilibrium kinetic models for tailored fluid transport coefficients.

Findings

Validated models for binary mixtures with specified Schmidt numbers

Successfully simulated weakly compressible flows with given Prandtl numbers

Demonstrated flexibility and accuracy of the proposed method

Abstract

A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is developed. Lattice Boltzmann models for isothermal binary mixtures with a given Schmidt number, and for a weakly compressible flow with a given Prandtl number are derived and validated.