An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice

•A compressible D3Q19 LBM has been developed for 3D aerodynamics in both subsonic and supersonic regimes.•A new D3Q19 equilibrium distribution function is derived to reduce the complexity of correcting terms.•A simple shock capturing scheme and upwind biased correction terms are developed for supersonic flows with shocks.•Excellent agreement is shown for supersonic laminar flow over flat plate and vortex shock interaction.