Mathematics Faculty Articles

Title

Theory of the NS-omega Model

Document Type

Article

Publication Date

11-1-2011

Publication Title

Communications on Pure and Applied Analysis

Keywords

Navier-Stokes-omega, Turbulence model, Differential filter

ISSN

1534-0392

Volume

10

Issue/No.

6

First Page

1763

Last Page

1777

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

Comments

Mathematics Subject Classification: 65M12, 65M60, 76D05, 76F65.

DOI

10.3934/cpaa.2011.10.1763

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