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 is fully on-lattice and uses single relaxation time Bhatnagar–Gross–Krook kinetic equations along with appropriate correction terms to recover Navier–Stokes–Fourier equations. accuracy performance are analyzed through simulations benchmark cases including Sod shock tube, sound generation in shock–vortex interaction, decaying turbulence box eddy shocklets. It demonstrated that present provides an accurate representation flows, even presence waves.