# 2D Smagorinsky type large eddy models as limits of stochastic PDEs

## TL;DR

This paper demonstrates that a 2D Smagorinsky large eddy model can be derived as a scaling limit of stochastic PDEs that incorporate transport noise to represent small-scale turbulence effects.

## Contribution

It establishes a rigorous connection between stochastic PDE models with transport noise and classical large eddy simulation models in 2D fluid dynamics.

## Key findings

- Proves the convergence of stochastic models to the Smagorinsky LES model
- Shows the role of transport noise in modeling turbulence
- Provides a mathematical foundation for stochastic turbulence modeling

## Abstract

We prove that a version of Smagorinsky Large Eddy model for a 2D fluid in vorticity form is the scaling limit of suitable stochastic models for large scales, where the influence of small turbulent eddies is modeled by a transport type noise.