Extended Lattice Boltzmann Model for Gas Dynamics

TL;DR

This paper introduces an extended lattice Boltzmann model capable of accurately simulating compressible gas flows, including shock waves and turbulence, using a fully on-lattice approach with correction terms.

Contribution

The paper presents a novel two-population lattice Boltzmann model that accurately simulates compressible flows on standard lattices, incorporating correction terms to recover Navier-Stokes-Fourier equations.

Findings

Accurately simulates shock tube and shock-vortex interactions.

Effectively models compressible turbulence with shocklets.

Demonstrates high accuracy in benchmark tests.

Abstract

We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows. The model is fully on-lattice and uses the single relaxation time Bhatnagar-Gross-Krook kinetic equations along with appropriate correction terms to recover the Navier-Stokes-Fourier equations. The accuracy and performance of the model are analyzed through simulations of compressible benchmark cases including Sod shock tube, sound generation in shock-vortex interaction and compressible decaying turbulence in a box with eddy shocklets. It is demonstrated that the present model provides an accurate representation of compressible flows, even in the presence of turbulence and shock waves.