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

2023/02/27 by Franco Flandoli, Flandoli, Franco, Dejun Luo +3 · 4 citations
Engineering · Economics, Econometrics and Finance · #Fluid Dynamics and Turbulent Flows #Stochastic processes and financial applications #Complex Systems and Time Series Analysis

paper · pdf · doi:10.48550/arxiv.2302.13614

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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• Structure preservation and emergent dissipation in stochastic wave equations with transport noise
• Stochastic phase separation driven by transport noise
• Homogenisation of a Passive Scalar Transported by Locally Supported White Noise
• Itô-Stratonovich Conversion in Infinite Dimensions for Unbounded, Time-Dependent, Nonlinear Operators

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