Turbulent flows universally exhibit intermittency of small scales. Analytical turbulence theories that deal with moments of the velocity distribution have been unable to capture the phenomenon. This paper reviews a new theoretical development that manipulates entire probability distributions rather than moments. The key tool is the construction of a nonlinear map of a Gaussian reference field in order to produce a tractable stochastic model of a dynamically evolving non-Gaussian field. The resulting closure a…
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