2008-07-02
10:15 at HCI J 574

On the Hamiltonian and Dissipative Structure of Some Low-Order Models in Fluid Dynamics and Turbulence

Anthony N. Beris

Department of Chemical Engineering, University of Delaware

Recently various low-order models have been developed in fluid dynamics and turbulence [1,2]. The basis of those models is coupled three-mode systems known as Volterra gyrostats (possibly coupled) plus terms describing forcing and friction. This structure has been postulated as enabling the preservation of certain important physics in the approximate models from the original fluid dynamical equations. In particular, in turbulence, it is shown that such a model exhibits Kolmogorov spectral behavior [1]. We discuss those systems here and draw analogies to GENERIC and Bracket formulations. [1] A. Gluhovsky and C. Tong, The structure of energy conserving low-order models, Physics of Fluids, 11:334-343 (1999). [2] C. Tong and A. Gluhovsky, Energy-conserving low-order models forthree-dimensional Rayleigh-Benard convection, Physical Review E, 65:046306(2002).