Vorticity and Turbulence

Vorticity and Turbulence
Author: Alexandre J. Chorin
Publisher: Springer Science & Business Media
Total Pages: 181
Release: 2013-12-01
Genre: Mathematics
ISBN: 1441987282


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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.


Vorticity and Turbulence
Language: en
Pages: 181
Authors: Alexandre J. Chorin
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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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 be
Vorticity and Turbulence
Language: en
Pages: 192
Authors: Alexandre J. Chorin
Categories: Mathematics
Type: BOOK - Published: 1994-06-24 - Publisher: Springer Science & Business Media

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This book provides an introduction to turbulence in vortex systems, and to turbulence theory for incompressible flow described in terms of the vorticity field.
Vorticity and Vortex Dynamics
Language: en
Pages: 776
Authors: Jie-Zhi Wu
Categories: Technology & Engineering
Type: BOOK - Published: 2007-04-20 - Publisher: Springer Science & Business Media

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This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It st
Environmental Hazards: The Fluid Dynamics And Geophysics Of Extreme Events
Language: en
Pages: 330
Authors: H Keith Moffatt
Categories: Technology & Engineering
Type: BOOK - Published: 2011-07-13 - Publisher: World Scientific

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The Institute for Mathematical Sciences at the National University of Singapore hosted a Spring School on Fluid Dynamics and Geophysics of Environmental Hazards
Liutex and Its Applications in Turbulence Research
Language: en
Pages: 458
Authors: Chaoqun Liu
Categories: Science
Type: BOOK - Published: 2020-10-29 - Publisher: Academic Press

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Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and expla