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Titlebook: Vorticity and Turbulence; Alexandre J. Chorin Textbook 1994 Springer Science+Business Media New York 1994 applied mathematics.mechanics.st

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書目名稱Vorticity and Turbulence
編輯Alexandre J. Chorin
視頻videohttp://file.papertrans.cn/986/985039/985039.mp4
叢書名稱Applied Mathematical Sciences
圖書封面Titlebook: Vorticity and Turbulence;  Alexandre J. Chorin Textbook 1994 Springer Science+Business Media New York 1994 applied mathematics.mechanics.st
描述This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro- duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov‘s theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.
出版日期Textbook 1994
關(guān)鍵詞applied mathematics; mechanics; statistical mechanics; statistical theory; turbulence
版次1
doihttps://doi.org/10.1007/978-1-4419-8728-0
isbn_softcover978-1-4612-6459-0
isbn_ebook978-1-4419-8728-0Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1994
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Applied Mathematical Scienceshttp://image.papertrans.cn/v/image/985039.jpg
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https://doi.org/10.1007/978-1-4419-8728-0applied mathematics; mechanics; statistical mechanics; statistical theory; turbulence
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Random Flow and Its Spectra,After a short introduction to probability and to random fields, we shall define homogeneous random flow, its energy, vorticity and dissipation spectra, and its Fourier transform.
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Equilibrium Flow in Spectral Variables and in Two Space Dimensions,We provide an introduction to equilibrium and non-equilibrium statistical mechanics and apply these theories to truncated spectral approximations and to inviscid flow in two space dimensions. The special feature that makes the two-dimensional theory work is the invariance of the total vorticity ?ξ ..
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