Self-consistent theory of turbulence

TL;DR

This paper introduces a novel stochastic turbulence theory that simplifies the Navier-Stokes equations by generating coloured noise from delta-correlated noise and incorporates a feedback mechanism to regulate noise intensity.

Contribution

It presents a new approach to turbulence modeling that avoids nonlocal field theory and includes a feedback control for noise, advancing theoretical understanding.

Findings

Simplifies turbulence modeling by generating coloured noise from delta-correlated noise.

Introduces a feedback mechanism to control noise intensity in turbulence.

Avoids nonlocal field theory in stochastic turbulence analysis.

Abstract

A new approach to the stochastic theory of turbulence is suggested. The coloured noise that is present in the stochastic Navier-Stokes equation is generated from the delta-correlated noise allowing us to avoid the nonlocal field theory as it is the case in the conventional theory. A feed-back mechanism is introduced in order to control the noise intensity.