# Optimal Eddy Viscosity in Closure Models for 2D Turbulent Flows

@inproceedings{Matharu2021OptimalEV, title={Optimal Eddy Viscosity in Closure Models for 2D Turbulent Flows}, author={Pritpal Matharu and Bartosz Protas}, year={2021} }

We consider the question of fundamental limitations on the performance of eddy-viscosity closure models for turbulent ﬂows, focusing on the Leith model for 2D Large-Eddy Simulation. Optimal eddy viscosities depending on the magnitude of the vorticity gradient are determined subject to minimum assumptions by solving PDE-constrained optimization problems deﬁned such that the corresponding optimal Large-Eddy Simulation best matches the ﬁltered Direct Numerical Simulation. First, we consider…

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