Theory of the NS-omega Model
Communications on Pure and Applied Analysis
Navier-Stokes-omega, Turbulence model, Differential filter
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
Stanculescu, Iuliana; Layton, William; and Trenchea, Catalin, "Theory of the NS-omega Model" (2011). Mathematics Faculty Articles. 126.