Nonlinear dynamical systems and bistability in linearly forced isotropic turbulence

In this paper, we present an extensive study of the linearly forced isotropic turbulence. By using analytical method, we identify two parametric choices, of which they seem to be new as far as our knowledge goes. We prove that the underlying nonlinear dynamical system for linearly forced isotropic t...

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Bibliographic Details
Published inActa mechanica Sinica Vol. 29; no. 6; pp. 823 - 826
Main Authors Ran, Zheng, Yuan, Xing-Jie
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
Subjects
Asymmetry
Classical and Continuum Physics
Computational Intelligence
Engineering
Engineering Fluid Dynamics
Lienard方程
Research Paper
Theoretical and Applied Mechanics
不对称
双稳态
双稳特性
各向同性湍流
概率密度
线性阻尼
非线性动力系统
Karman-Howarth equation
Isotropic turbulence
Nonlinear dynamical system
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Summary:In this paper, we present an extensive study of the linearly forced isotropic turbulence. By using analytical method, we identify two parametric choices, of which they seem to be new as far as our knowledge goes. We prove that the underlying nonlinear dynamical system for linearly forced isotropic turbulence is the general case of a cubic Lienard equation with linear damping. We also discuss a FokkerPlanck approach to this new dynamical system, which is bistable and exhibits two asymmetric and asymptotically stable stationary probability densities.
Bibliography:11-2063/O3
Isotropic turbulence ; Nonlinear dynamical system ; Karman-Howarth equation
In this paper, we present an extensive study of the linearly forced isotropic turbulence. By using analytical method, we identify two parametric choices, of which they seem to be new as far as our knowledge goes. We prove that the underlying nonlinear dynamical system for linearly forced isotropic turbulence is the general case of a cubic Lienard equation with linear damping. We also discuss a FokkerPlanck approach to this new dynamical system, which is bistable and exhibits two asymmetric and asymptotically stable stationary probability densities.
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-013-0085-3