Based on the integrated compressible fluid mechanics equations

using eigen value analysis

the new method of non-reflecting boundary condition was proposed for aeroacoustics simulation of disturbance in shear flows.With the new boundary conditions

the disturbance were simulated in static fluid

uniform flows and uniform shear flows

and the results show that the new boundary conditions given in this paper are appropriate.The evolvement of disturbance in compressible mixing layer was also simulated

and the transmitted characteristic of disturbance in compressible mixing layer was presented.