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 language | American English |
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Pages (from-to) | 1763-1777 |
Number of pages | 15 |
Journal | Communications on Pure and Applied Analysis |
Volume | 10 |
Issue number | 6 |
DOIs | |
State | Published - Nov 1 2011 |
ASJC Scopus Subject Areas
- Analysis
- Applied Mathematics
Keywords
- Differential filter
- Navier-Stokes-omega
- Turbulence model
Disciplines
- Mathematics