Two point third order correlation functions for quasi-geostrophic turbulence: Kolmogorov-Landau approach

TL;DR

This paper applies the Kolmogorov-Landau approach to derive third-order structure functions in quasi-geostrophic turbulence, providing insights into the cascade processes of pseudo-potential enstrophy and energy.

Contribution

It introduces a more intuitive Kolmogorov-Landau method to calculate third-order correlation functions in quasi-geostrophic turbulence, enhancing understanding of cascade dynamics.

Findings

Derived third-order structure functions for quasi-geostrophic turbulence

Clarified the behavior of pseudo-potential enstrophy cascade

Analyzed inverse energy cascade mechanisms

Abstract

We use the more intuitive approach due to Kolmogorov (and subsequently, Landau in his text on fluid dynamics) to calculate some third-order structure functions for quasi-geostrophic turbulence for the forward cascade of pseudo-potential enstrophy and the inverse energy cascade in quasi-geostrophic turbulence.