An adaptive triangular mesh and a locally implicit finite volume scheme are utilized to investigate the physical phenomena of vortex-shock interaction. In the cartesian coordinate system, the unsteady Euler equations arc solved. Based on the comparison of the present solutions with the related numerical and experimental data, the present approach can give satisfactory results. From the instantaneous adaptive meshes, the structure of unsteady pressure wave, shock wave and Mach disk is clearly captured. Both of shock distortion and vortex compression play an important role in the formation of the acoustic wave.