Synergetic Approach to Constructing a Structured Turbulence Model

IF 0.6 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS
A. V. Kolesnichenko
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引用次数: 0

Abstract

The aim of this article is to acquaint the reader to the rapidly developing stochastic-thermodynamic theory of irreversible processes using as an example the modeling of structured turbulence. Here, we consider a synergetic approach to the development of a phenomenological model of extremely developed turbulence in a compressible homogeneous fluid, taking into account the nonlinear cooperative processes in it. Inclusion in the model of a set of random variables as internal parameters of the turbulent chaos subsystem, associated with its microstructure, makes it possible in this case to derive, using thermodynamic methods, the Fokker–Planck–Kolmogorov (FPK) kinetic equations in configuration space. Stabilization of the chaos subsystem near the next stationary nonequilibrium state in configuration space corresponds to the transition of the turbulent system to a new state, adequate to the emergence of complex spatiotemporal CSs in a turbulent flow.

构建结构化湍流模型的协同方法
摘要 本文旨在以结构湍流建模为例,向读者介绍发展迅速的不可逆过程随机热力学理论。在此,我们考虑采用一种协同方法来建立可压缩均质流体中极其发达的湍流现象学模型,同时考虑到其中的非线性合作过程。在模型中加入一组随机变量作为湍流混沌子系统的内部参数,与其微观结构相关联,在这种情况下就有可能利用热力学方法推导出构型空间中的福克-普朗克-科尔莫戈罗夫(FPK)动力学方程。混沌子系统在构型空间中下一个静止非平衡态附近的稳定,相当于湍流系统过渡到一个新的状态,足以在湍流中出现复杂的时空 CS。
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来源期刊
Solar System Research
Solar System Research 地学天文-天文与天体物理
CiteScore
1.60
自引率
33.30%
发文量
32
审稿时长
6-12 weeks
期刊介绍: Solar System Research publishes articles concerning the bodies of the Solar System, i.e., planets and their satellites, asteroids, comets, meteoric substances, and cosmic dust. The articles consider physics, dynamics and composition of these bodies, and techniques of their exploration. The journal addresses the problems of comparative planetology, physics of the planetary atmospheres and interiors, cosmochemistry, as well as planetary plasma environment and heliosphere, specifically those related to solar-planetary interactions. Attention is paid to studies of exoplanets and complex problems of the origin and evolution of planetary systems including the solar system, based on the results of astronomical observations, laboratory studies of meteorites, relevant theoretical approaches and mathematical modeling. Alongside with the original results of experimental and theoretical studies, the journal publishes scientific reviews in the field of planetary exploration, and notes on observational results.
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