Compressible flow simulation around airfoil based on lattice boltzmann method

The flow around airfoil NACA0012 enwrapped by the body-fitted grid is simulated by a coupled double-distribution-function (DDF) lattice Boltzmann method (LBM) for the compressible Navier-Stokes equations. Firstly, the method is tested by simulating the low Reynolds number flow at Ma = 0.5, α = 0.0, Re = 5000. Then the simulation of flow around the airfoil is carried out at Ma = 0.5, 0.85, 1.2; α = -0.05, 1.0, 0.0, respectively. And a better result is obtained by using a local refined grid. It reduces the error produced by the grid at Ma = 0.85. Though the inviscid boundary condition is used to avoid the problem of flow transition to turbulence at high Reynolds numbers, the pressure distribution obtained by the simulation agrees well with that of the experimental results. Thus, it proves the reliability of the method and shows its potential for the compressible flow simulation. The successful application to the flow around airfoil lays a foundation of the numerical simulation of turbulence.