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arXiv · 2102.09512

Extended Lattice Boltzmann Model for Gas Dynamics

M. H. Saadat·S. A. Hosseini·B. Dorschner·I. V. Karlin
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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.

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M. H. Saadat, S. A. Hosseini, B. Dorschner, I. V. Karlin. 2021-02-18. Extended Lattice Boltzmann Model for Gas Dynamics. https://doi.org/10.1063/5.0048029

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