With the development of so-called 'electric' aircraft, the integration of jet pumps to various systems of the engines could offer significant gains (mass, reliability,...) over the technologies currently used. Since jet pumps may directly contribute to ramp noise, an accurate predictive tool is therefore desired to propose adapted noise reduction solutions in an industrial context. A direct computation of the unsteady turbulent flow being too expensive, the main idea is to compute acoustic sources from a stochastic velocity field and to inject it in Euler's equations to model near-field acoustic propagation. A Kirchoff analogy is then used to reduce calculation cost in the far field. In following previous works by Bailly and Juvé (AIAA Paper 99-1872) and Billson et al. (AIAA paper 2003-3282), a combined approach to generate a stochastic velocity field is presented and validated in the present work. This methodology is based on the sweeping hypothesis-or the fact that small scale turbulent structures are advected by energy containing eddies. The validation study is done on aerodynamic quantities of a cold free jet at Mach number M=0.72. The capability of the method to reproduce space-time velocity correlations in the shear layer is shown. The model is then tested on a cold free jet configuration to predict radiated acoustic levels using a volumic Lighthill solver.