Brownian theory of 2D turbulence and generalized thermodynamics

TL;DR

This paper introduces a novel parametrization method for 2D turbulence using generalized thermodynamics and Brownian theory, providing explicit relaxation equations suitable for numerical simulations of various turbulent flows.

Contribution

It presents a new parametrization approach that overcomes limitations of previous models, integrating generalized thermodynamics with Brownian theory for 2D turbulence.

Findings

Explicit relaxation equations derived for turbulent flow simulation

Method applicable to three typical types of turbulent flows

Improves upon previous turbulence parametrizations

Abstract

We propose a new parametrization of 2D turbulence based on generalized thermodynamics and Brownian theory. Explicit relaxation equations are obtained that should be easily implementable in numerical simulations for three typical types of turbulent flows. Our parametrization is related to previous ones but it removes their defects and offers attractive new perspectives.