Article
Theory of the NS-omega Model
Communications on Pure and Applied Analysis
Document Type
Article
Publication Date
11-1-2011
Keywords
- Navier-Stokes-omega,
- Turbulence model,
- Differential filter
Disciplines
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
DOI
10.3934/cpaa.2011.10.1763
Citation Information
Iuliana Stanculescu, William Layton and Catalin Trenchea. "Theory of the NS-omega Model" Communications on Pure and Applied Analysis Vol. 10 Iss. 6 (2011) p. 1763 - 1777 ISSN: 1534-0392 Available at: http://works.bepress.com/iuliana-stanculescu/6/
Mathematics Subject Classification: 65M12, 65M60, 76D05, 76F65.