On a Leray-α model of turbulence

  title={On a Leray-α model of turbulence},
  author={Eric Olson},
In this paper we introduce and study a new model for 3-D turbu lence, the Leray model. This model is inspired by the Lagrangian Averaged Navier–Stokes model of turbulence (also known Navier–Stokes model or the viscous Camassa–Holm equations). As in the case of the Lagrangian Averaged Navier–Stokes model, the Leray model compares successfully with empirical data from turbulent channel and pipe flows, fo r a wide range of Reynolds numbers. We establish here an upper bound for the di m ns on of… CONTINUE READING
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