English

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

Probability 2023-02-28 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2302.13614,
  title  = {2D Smagorinsky type large eddy models as limits of stochastic PDEs},
  author = {Franco Flandoli and Dejun Luo and Eliseo Luongo},
  journal= {arXiv preprint arXiv:2302.13614},
  year   = {2023}
}