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Maximum-entropy closure for a Galerkin model of an incompressible periodic wake

Published online by Cambridge University Press:  24 April 2012

Bernd R. Noack  and
Robert K. Niven
Bernd R. Noack*
Affiliation:
Institut PPRIME, CNRS – Université de Poitiers – ENSMA, UPR 3346, Départment Fluides, Thermique, Combustion, CEAT, 43 rue de l’Aérodrome, F-86036 Poitiers CEDEX, France
Robert K. Niven
Affiliation:
School of Engineering and Information Technology, The University of New South Wales at ADFA, Canberra, Australian Capital Territory, 2600, Australia
*
†Email address for correspondence: Bernd.Noack@univ-poitiers.fr
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Abstract

A statistical closure is proposed for a Galerkin model of an incompressible periodic cylinder wake. This closure employs Jaynes’ maximum entropy principle to infer the probability distribution for mode amplitudes using exact statistical balance equations as side constraints. The analysis predicts mean amplitude values and modal energy levels in good agreement with direct Navier–Stokes simulation. In addition, it provides an analytical equation for the modal energy distribution.

JFM classification

Nonlinear Dynamical Systems: Low-dimensional models Mathematical Foundations: Variational methods Wakes/Jets: Wakes
Type
Papers
Information
Journal of Fluid Mechanics , Volume 700 , 10 June 2012 , pp. 187 - 213
Copyright
Copyright © Cambridge University Press 2012

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