English

Extended Lattice Boltzmann Model for Gas Dynamics

Fluid Dynamics 2021-11-24 v1

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.

Keywords

Cite

@article{arxiv.2102.09512,
  title  = {Extended Lattice Boltzmann Model for Gas Dynamics},
  author = {M. H. Saadat and S. A. Hosseini and B. Dorschner and I. V. Karlin},
  journal= {arXiv preprint arXiv:2102.09512},
  year   = {2021}
}
R2 v1 2026-06-23T23:17:56.972Z