Based on the Stokes hypothesis, the characteristics of the Navier-Stokes equation for
compressible liquids were analyzed. Through the above analysis, a special 9-bit lattice Boltzmann
modelwas setup. The proposed model not only satisfies the Stokes hypothesis but also can simulate
compressible liquids. In addition, the parameters in this model were determined through using the
relative theory of the lattice Boltzmann method. At las,t the feasibility of the proposed model was
proved through simulating the tail flow problem.