中文摘要：

We present an adaptive lattice Boltzmann model to simulate super-sonic flows.The particle velocities are determined by the mean velocity and internalenergy.The adaptive nature of particle velocities permits the mean flow to have highMach number.A particle potential energy is introduced so that the model is suitablefor the perfect gas with arbitrary specific heat ratio.The Navier-Stokes equationsare derived by the Chapman-Enskog method from the BGK Boltzmann equation.As preliminary tests,two kinds of simulations have been performed on hexagonallattices.One is the one-dimensional simulation for sinusoidal velocity distributions.The velocity distributions are compared with the analytical solution and the mea-sured viscosity is compared with the theoretical values.The agreements are basicallygood.However,the discretion error may cause some non-isotropic effects.The othersimulation is the 29 degree shock reflection.