Lagrangian Probability Distributions of Turbulent Flows
Fluid Dynamics
2007-05-23 v1
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.
Cite
@article{arxiv.physics/0207015,
title = {Lagrangian Probability Distributions of Turbulent Flows},
author = {R. Friedrich},
journal= {arXiv preprint arXiv:physics/0207015},
year = {2007}
}