Abstract: The lattice-Boltzmann method has been applied to simulate fluids.The most are incompressible fluids.This method is used to simulate the transform and regular reflection of shock waves with 3 speeds and 9 sits models on the square lattice.The simulation results is consistent with the results of the fluid equations derived by the Chapman-Enskog expansion.This shows that the lattice Boltzmann method can simulate compressible fluids.

Key words: shock wave, lattice-Boltzmann method, simulation