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


Download Vorticity and Turbulence Book in PDF, Epub and Kindle

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

GET EBOOK

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 Vortex Dynamics
Language: en
Pages: 776
Authors: Jie-Zhi Wu
Categories: Technology & Engineering
Type: BOOK - Published: 2007-04-20 - Publisher: Springer Science & Business Media

GET EBOOK

This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It st
Vorticity and Turbulence
Language: en
Pages: 174
Authors: Alexandre Joel Chorin
Categories: Fluid mechanics
Type: BOOK - Published: 1998 - Publisher:

GET EBOOK

Quantized Vortex Dynamics and Superfluid Turbulence
Language: en
Pages: 459
Authors: C.F. Barenghi
Categories: Technology & Engineering
Type: BOOK - Published: 2008-01-11 - Publisher: Springer

GET EBOOK

This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University
Turbulence Structure and Vortex Dynamics
Language: en
Pages: 326
Authors: J. C. Vassilicos
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Cambridge University Press

GET EBOOK

Edited volume on turbulence, first published in 2000.