Abstract: With aviation noise getting more and more attention, the algorithms for calculating sound propagation have become a research hotspot. The high-order discontinuous Galerkin(DG) method has the advantages of high precision, low requirement on mesh quality, suitable for adaptive and parallel computing, and can calculate sound field with high efficiency. In this paper, the higher-order DG method is used to discretize the Linearized Euler Equations in space, and the sound fields of NACA0012 airfoil and 30P30N multi-segment airfoil with the background flow field are numerically calculated based on the discretized Linearized Euler Equation. After using the finite volume method to calculate the flow field information, the flow field information is imported into the sound field grid through interpolation, and the high-order DG method is used to calculate the sound field information. The calculated results are in good agreement with the FW-H algorithm in the references, which verifies the feasibility of high-order DG method.