Long-Time Turbulence Model Deduced from the Navier-Stokes Equations

The author shows the existence of long-time averages to turbulent solutions of the Navier-Stokes equations and determines the equations satisfied by them, involving a Reynolds stress that is shown to be dissipative.

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2015-09, Vol.36 (5), p.883-894
Main Author: Lewandowski, Roger
Format: Article
Language:English
Subjects:
Analysis of PDEs
Applications of Mathematics
Fluid mechanics
Mathematics
Mathematics and Statistics
Mechanics
Navier-Stokes方程
Physics
平均值
方程推导
湍流模型
耗散
雷诺兹应力
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Description
Summary:The author shows the existence of long-time averages to turbulent solutions of the Navier-Stokes equations and determines the equations satisfied by them, involving a Reynolds stress that is shown to be dissipative.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-015-0982-9