A lattice Boltzmann equation model of D2Q13 form in two-dimensional space is developed according to the conservative criteria of mass, momentum and energy. The equations of fluid dynamics can be derived from the D2Q13 model, and the momentum equation is obviously improved in the viscosity transport term by comparison with Navier-Stokes equation . The shock wave reflection phenomena on the bevel edge and edge angle have been simulated by using the model so that the results and the numerical stability are very good. It is shown that the model is valid both in theory and in numerical experiment.