Improved compressible hybrid lattice Boltzmann method on standard lattice for subsonic and supersonic flows

A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. This HLBM an extension model Feng et al. [1], which has been found, via different test cases, to be unstable regimes. To circumvent this limitation, we propose:: (1) a new discretization lattice closure correction term that makes possible flows, (2) corrected viscous stress tensor takes into account polyatomic gases, (3) novel heat production fitting with regularized formalism. The result hybrid method resolves mass momentum equations LBM algorithm, entropy-based energy equation finite volume method. approach fully recovers physics Navier–Stokes–Fourier ideal gas state, valid from It then successfully assessed smooth flows involving shocks. shown efficient, accurate, robust alternative classic Navier–Stokes methods