2D Smagorinsky type large eddy models as limits of stochastic PDEs
- Authors: Franco Flandoli, Dejun Luo, Eliseo Luongo
- Preprint year: 2023
- First public date: 2023-02-27
- arXiv: 2302.13614
- Status: Published
- Publication type: Journal article
- Publication year: 2024
- Journal: Journal of Nonlinear Science 34, 54 (2024)
- DOI: 10.1007/s00332-024-10028-4
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.