STOCHASTIC APPROACH TO NOISE MODELING FOR FREE TURBULENT FLOWS

A new approach to noise modeling for free turbulent flows is presented . The equations governing the sound field are obtained in two steps. T he first step consists of treating the mean and turbulent components o f the now while the acoustic perturbations are neglected. In the secon d step, a set of equations is derived for the acoustic variables. On t he left-hand side of this system, one finds the linearized Euler equat ions, whereas the right-hand side exhibits source terms related to the turbulent fluctuations and their interactions with the mean flow. The se terms are modeled using a stochastic description of the three-dimen sional turbulent motion. This is achieved by synthesizing the velocity field at each point in space and for all times with a collection of d iscrete Fourier modes. The synthesized field posesses the suitable one - and two-point statistical moments and a reasonable temporal power sp ectral density. The linearized Euler equations including a stochastic description of noise sources are solved numerically with a scheme base d on a fractional step treatment. Each one-dimensional problem is solv ed with a weak formulation. A set of calculations are carried out for a simple freejet. Comparisons between calculations and experiments ind icate that a spatial filtering of the source terms is required to obta in the expected level in the far field. Realistic pressure signals, po wer spectral densities, and sound field patterns are obtained. It is i ndicated that the stochastic noise generation and radiation (SNGR) app roach may be applied to more complex flows because the numerical codes used to calculate the mean flowfield and the wave propagation are not specific of jet configurations. The limitations of the present model lie in the statistical properties of the synthetic turbulent field and in the use of an axisymmetric modeling of the acoustic propagation.