Theory of the NS-ω̄ model: A complement to the NS-α model

Iuliana Stanculescu, William Layton, Catalin Trenchea

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageAmerican English
Pages (from-to)1763-1777
Number of pages15
JournalCommunications on Pure and Applied Analysis
Volume10
Issue number6
DOIs
StatePublished - Nov 1 2011

ASJC Scopus Subject Areas

  • Analysis
  • Applied Mathematics

Keywords

  • Differential filter
  • Navier-Stokes-omega
  • Turbulence model

Disciplines

  • Mathematics

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