By numerical simulation of basic flow, this paper extends Floquet stability analysis of interfacial flow with periodic fluctuation into large density ratio range. Sta- bility of a liquid aluminum jet in a coaxial nitrogen stream with velocity fluctuation is investigated by Chebyshev collocation method and the Floquet theory. Parametric reso- nance of the jet and the influences of different physical parameters on the instability are discussed. The results show qualitative agreement with the available experimental data.