Lattice Boltzmann model for weakly compressible flows

TL;DR

This paper introduces an energy conserving lattice Boltzmann model tailored for weakly compressible flows, accurately capturing acoustic and thermal effects, validated through various test cases.

Contribution

It presents a novel lattice Boltzmann model that conserves energy and accurately simulates weakly compressible flows with thermal effects.

Findings

Model recovers isentropic sound speed

Accurately simulates viscous heating and heat flux

Validated with acoustic and thermal flow tests

Abstract

We present an energy conserving lattice Boltzmann model based on a crystallographic lattice for simulation of weakly compressible flows. The theoretical requirements and the methodology to construct such a model are discussed. We demonstrate that the model recovers the isentropic sound speed in addition to the effects of viscous heating and heat flux dynamics. Several test cases for acoustics, thermal and thermoacoustic flows are simulated to show the accuracy of the proposed model.