Lagrangian Probability Distributions of Turbulent Flows

R. Friedrich

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Lagrangian Probability Distributions of Turbulent Flows

R. Friedrich

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Abstract

We outline a statistical theory of turbulence based on the Lagrangian formulation of fluid motion. We derive a hierarchy of evolution equations for Lagrangian N-point probability distributions as well as a functional equation for a suitably defined probability functional which is the analog of Hopf's functional equation. Furthermore, we adress the derivation of a generalized Fokker-Plank equation for the joint velocity - position probability density of N fluid particles.

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R. Friedrich. 2002-07-03. Lagrangian Probability Distributions of Turbulent Flows. https://arxiv.org/abs/physics/0207015

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