2D Smagorinsky-Type Large Eddy Models as Limits of Stochastic PDEs

Journal of Nonlinear Science(2024)

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摘要
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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关键词
Smagorinsky model,Eddy viscosity model,Turbulence,Transport noise,Scaling limit,60H15,76D05
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