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arXiv · 2302.13614

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

Franco Flandoli·Dejun Luo·Eliseo Luongo
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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.

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Franco Flandoli, Dejun Luo, Eliseo Luongo. 2023-02-27. 2D Smagorinsky type large eddy models as limits of stochastic PDEs. https://arxiv.org/abs/2302.13614

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