Abstract: Porous media acoustic materials are widely used in the fields of aerospace, marine and ocean engineering due to their structure and excellent acoustic properties. The traditional acoustic simulation approach for sound propagation in porous media mainly starts from the frequency domain, which needs large computational amount and cannot obtain the unsteady physical process of sound propagation. Computational aeroacoustics in time-domain can simulate unsteady processes of sound propagation, but it is less applied to sound propagation in porous media currently. Computational acoustics in the time domain requires a numerical format with high accuracy and low dissipation. In order to obtain the sound propagation process in air and porous media, in this paper, the high-order discontinuous Galerkin method is used to solve the linear Euler equation combined with the acoustic Zwikker-Kosten model on unstructured grids. Numerical simulation of sound propagation in the two models of porous medium ground and triangle-shaped porous medium acoustic barrier show that the high-order computation method proposed in this paper is suitable for the numerical simulation of sound propagation in complex porous media and has high accuracy. This method has great potential for solving the sound propagation in the environment of complex porous media in practical engineering.