A hierarchy of maximum entropy closures for Galerkin systems of incompressible flows

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• 作者：Bernd R. Noack^a ; ^{Bernd.Noack@univ-poitiers.fr} ; ; Robert K. Niven^b ; ^{R.Niven@adfa.edu.au}
• 关键词：Nonlinear dynamic system ; Ergodic measure ; Jaynes maximum entropy principle
• 刊名：Computers and Mathematics with Applications
• 出版年：2013
• 出版时间：May, 2013
• 年：2013
• 卷：65
• 期：10
• 页码：1558-1574
• 全文大小：559 K

文摘

We propose a maximum-entropy closure strategy for dissipative dynamical systems building on and generalizing earlier examples (Noack & Niven (2012) ). Focus is placed on Galerkin systems arising from a projection of the incompressible Navier-Stokes equation onto orthonormal expansion modes. The maximum-entropy closure is motivated by a simple analytical example and elaborated to a hierarchical framework with sufficient conditions for the existence of solutions.