Title: Estimates for the LANS-$\alpha$, Leray-$\alpha$ and Bardina models in terms of a Navier-Stokes Reynolds number

Authors: J. D. Gibbon and D. D. Holm

Issue: Volume 57 (2008), Issue 6, 2761-2774

Abstract: Estimates for the three $\alpha$-models known as the LANS-$\alpha$, Leray-$\alpha$ and Bardina models are found in terms a Reynolds number associated with a Navier-Stokes velocity field. They are tabulated for comparative purposes and show clearly that all estimates for the Leray-$\alpha$ model are smaller than those for the LANS-$\alpha$ and Bardina models.