Stationary Statistics of Turbulence as an Attractor

TL;DR

This paper introduces a new calculational approach to fluid turbulence that leverages the attractor nature of the dynamical system to effectively propagate statistics and generate stationary effects.

Contribution

It proposes a novel method based on the attractor concept to analyze turbulence statistics and their evolution over time.

Findings

Effective propagation of turbulence statistics demonstrated

Loss of initial condition sensitivity observed

Generation of stationary statistical effects speculated

Abstract

A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approach is offered that effectively propagates the statistics in time. Loss of sensitivity to an initial probability density functional and generation of stationary statistical effects is speculated.