期刊
JOURNAL OF FLUID MECHANICS
卷 700, 期 -, 页码 187-213出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2012.125
关键词
low-dimensional models; variational methods; wakes
资金
- Chaire d'Excellence 'Closed-loop control of turbulent shear flows using reduced-order models' (TUCOROM) of the French Agence Nationale de la Recherche (ANR)
- Bernd Noack Cybernetics Foundation
- Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
- UNSW at Canberra
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.
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