Vortex Dynamics

Vortex Dynamics
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DOI:
10.1007/978-1-4612-1092-4_11
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发表时间:
2011
期刊:
--
影响因子:
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通讯作者:
A. Kheradvar;G. Pedrizzetti
A. Kheradvar;G. Pedrizzetti
中科院分区:
其他
文献类型:
--
作者:
A. Kheradvar;G. Pedrizzetti

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涡度动力学是流体动力学的核心问题之一。旋涡运动被k<e:1>切曼恰当地描述为“流体运动的肌肉和肌肉”。在紊流运动的背景下,由于下文所述的原因,涡动力学构成了理解紊流的理论方法之一。另一个原因是,在无粘极限v = 0时,涡旋形成了一个强非线性的无限维哈密顿系统,并为许多关于动力系统的现代思想和数学混沌的概念提供了一个物理系统,这可能有助于澄清湍流运动的本质。
The dynamics of vorticity is one of the central problems of fluid dynamics. Vortex motions were aptly described by Küchemann as the “sinews and muscles of fluid motion”. In the context of turbulent motion, vortex dynamics for reasons to be described below constitutes one of the theoretical approaches to the understanding of turbulence. A further reason is the fact that in the inviscid limit v = 0, vortices form a strongly nonlinear infinite dimensional Hamiltonian system and provide a physical system for many of the modern ideas on dynamical systems and the concepts of mathematical chaos which may help clarify the nature of turbulent motion.