Large scale dynamics in two-dimensional turbulence

TL;DR

This paper develops a simple model for large-scale dynamics in freely decaying two-dimensional turbulence, providing insights into the energy spectrum and large-scale behavior based on statistical solutions of the Navier-Stokes equation.

Contribution

It introduces a novel model explaining large-scale dynamics in 2D turbulence using statistical solutions, challenging previous assumptions about the energy spectrum.

Findings

Proposes a new explanation for large-scale behavior in 2D turbulence.

Develops a model based on statistical solutions of Navier-Stokes.

Provides insights into the energy spectrum at small wave numbers.

Abstract

We consider freely decaying two-dimensional isotropic turbulence. It is usually assumed that, in such turbulence, the energy spectrum at small wave number, takes the form, where is the two-dimensional version of Loitsyansky's integral. In this paper, we developed a simple model for large scale dynamics of free decay two-dimensional turbulence based on the statistical solution of Navier-Stokes equation. We provide one possible explanation for the large scale dynamics in two-dimensional turbulence.