In this paper, we study the possibility of reduction of noise produced by turbulent flows using a fine grid structure. Although the concept has been widely used in turbulent flow studies for the purpose of creating homogeneous isotropic turbulent medium, it has never been systematically checked for aerodynamic noise reduction purposes. In this paper we shall confine ourselves to noise reduction of an unheated single-stream high Mach number jet. we shall make use of a RANS k - ε turbulence model along with Lighthill's Acoustic Analogy in order to comprehensively examine this concept. Two different grid geometries located at three positions (6D J, 8.6D J, and 12D J from the jet exit) in a jet shear flow are considered. Results have shown that significant low frequency noise reduction can be achieved when the grid is positioned at the end of the jet potential core.