Numerical analysis of a corrected Smagorinsky model

  title={Numerical analysis of a corrected Smagorinsky model},
  author={Farjana Siddiqua and Xihui Xie},
  journal={Numerical Methods for Partial Differential Equations},
. The classical Smagorinsky model’s solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model has recently been corrected to incorporate this flow and still be well-posed. Herein we first develop some basic properties of the corrected model. Next, we perform a complete numerical analysis of two algorithms for its approximation. They are tested and… 

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