Abstract

A novel approach to stochastic modelling of two-particle relative dispersion and mixing in stationary homogeneous and isotropic turbulence is proposed. The nonlinear Mori-Zwanzig projector formalism [1] exactly transforms the Navier-Stokes and passive scalar field equations in form of generalized Langevin type which might be more suitable for approximations. The forces on a fluid particle are divided into a deterministic and a random part, the former of which can be evaluated systematically whereas only little is known about the latter. Assuming the random part to be Gaussian white noise yields a much reduced description of truly non-Gaussian and non-Markovian turbulent transport.

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