• Corpus ID: 235358641

Optimal Eddy Viscosity in Closure Models for 2D Turbulent Flows

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