Theory for the rotational deconvolution model of turbulence with fractional regularization

Abstract

We study a regularization of the rotational Navier–Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution model, studied by Berselli and Lewandowski in (Convergence of Approximate Deconvolution Models to the mean Navier- Stokes equations. Annales de l’Institut Henri Poincare (C), NonLinear Analysis. 2012;29:171–198), to the RADM with fractional regularization, where the convergence of the solution is studied with weaker conditions on the parameter regularization.

Keywords:

• turbulence simulation and modelling
• large-eddy simulations; Navier-Stokes equations

AMS Subject Classifications:

• 76D05
• 35Q30
• 76F65
• 76D03