Theory of the Ns-ω Model: a Complement to the Ns-α Model

نویسندگان

  • William Layton
  • Iuliana Stanculescu
  • Catalin Trenchea
  • Gui-Qiang Chen
چکیده

We study a recent regularization of the Navier-Stokes equations, the NS-ω model. This model has similarities to the NS-α model, but its structure is more amenable to be used as a basis for numerical simulations of turbulent flows. In this report we present the model and prove existence and uniqueness of strong solutions as well as convergence (modulo a subsequence) to a weak solution of the Navier-Stokes equations as the averaging radius decreases to zero. We then apply turbulence phenomenology to the model to obtain insight into its predictions.

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تاریخ انتشار 2008