Abstract
A recently proposed mesoscopic description of fluid dynamics leads to a new approach to turbulence. In contrast to the classical statistical theory of turbulence the new approach introduces a probabilistic time evolution of the random velocity governed by a master equation. The mesoscopic approach is explained by means of the (1+1)-dimensional Burger's model of turbulence. By a continuous time stochastic simulation, realizations of turbulent velocity fields are generated. Correlation functions and energy spectra are evaluated from appropriate ensemble averages.
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