Extended lattice Boltzmann model for gas dynamics

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 eq...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 33; no. 4
Main Authors Saadat, M. H., Hosseini, S. A., Dorschner, B., Karlin, I. V.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.04.2021
Subjects
Compressible flow
Computational fluid dynamics
Fluid dynamics
Fourier's equation
Gas dynamics
Kinetic equations
Lattices
Mathematical models
Model accuracy
Physics
Relaxation time
Shock waves
Sound generation
Turbulence
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Summary: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.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0048029