(小5号黑正)：Discrete Vortex Method (DVM) is a grid-free vortex motion algorithm, which is suitable for solving unsteady problems that are easy to produce separate flow. Applying it to the flow solution in the ice accretion process can effectively simulate the separate flow, while avoiding the influence of the sharp ice-shaped corner on the grid quality. However, the discrete vortex method is based on the incompressible N-S equation, it cannot be applied to predict the ice accretion process in a compressible flow. In this paper, Prandtl-Glauert compressibility correction is added on the basis of the discrete vortex method. And the numerical simulation of compressible flow based on the discrete vortex method is realized and applied to the prediction of airfoil ice accretion. The calculation results show that the discrete vortex method with compressibility correction can simulate the compressible flow better. Compared with the experimental value, the icing numerical simulation results obtained based on this method are in good agreement. It provides a certain reference for the application of icing numerical simulation in engineering.