The goal of this paper is to show that stochastic turbulent fields can be used in acoustic numerical simulations when only some statistical properties of turbulence are required. The turbulent field is achieved by synthesizing a collection of Random Fourier Modes (RFM) at each point in space. An extension of the RFM method to include a time evolution and spatial inhomogeneous statistics is suggested. Then two applications of the RFM are given for acoustic numerical simulations. The first deals with the atmospheric sound propagation through turbulence over large distances. The second one concerns generation and radiation of noise for subsonic flow at high Reynolds number.

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