Abstract: Three kinds of particle granules are included in each hexagonal cell using a discrete method of hexagonal lattice,and macroscopic quantities are defined by the moment of particle granules.Two-dimensional D2Q19-lattice Boltzmann model has been developed by the conservation laws of mass,momentum and energy,and the hydrodynamic equations can be derived from the model.The shock wave reflection phenomena on the surface of obstacles have been simulated using the model.

Key words: Boltzmann model, distribution function, shock waves, hydrodynamic equations