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

被引：6
|
作者：
Noack, Bernd R. [1 ]
Niven, Robert K. [2 ]
机构：
[1] Univ Poitiers, CNRS, ENSMA, Dept Fluides,Inst PPRIME,UPR 3346,CEAT, F-86036 Poitiers, France
[2] Univ New S Wales, Australian Def Force Acad, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 10期
关键词：
Nonlinear dynamic system; Ergodic measure; Jaynes maximum entropy principle; COHERENT STRUCTURES; INFORMATION-THEORY; MODELS; FLUID; REDUCTION; DYNAMICS;
D O I：
10.1016/j.camwa.2013.02.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a maximum-entropy closure strategy for dissipative dynamical systems building on and generalizing earlier examples (Noack & Niven (2012) [11]). 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. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1558 / 1574
页数：17
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