Jet noise remains a significant noise component in modern aero-engines. A highspeed flow mixing with the surrounding air constitutes noise sources behind the nozzle. One noise-reduction technology is expected to enhance mixing within a limited region downstream of the nozzle. The enhanced mixing leads to the suppression of broadband peak components of jet noise.The main goal of this paper is to provide an overview of, the aircraft noise generating sources with emphasis on the jet noise, the main technologies employed for control and reduction of aircraft noise, the effect of different techniques and a comparison between them on the flow field and acoustic performance for subsonic and supersonic jets, and finally a survey of the current applications of large-eddy simulation(LES) for predicting of the noise from single stream turbulent jets, including numerical methods for simulation of near and far field of a jet nozzle.