Turbulence and Vortex Dynamics in Two Dimensions
Author : Hassan Aref
Publisher :
Page : 268 pages
File Size : 46,33 MB
Release : 1980
Category : Dynamics
ISBN :
Author : Hassan Aref
Publisher :
Page : 268 pages
File Size : 46,33 MB
Release : 1980
Category : Dynamics
ISBN :
Author : J. C. Vassilicos
Publisher : Cambridge University Press
Page : 326 pages
File Size : 13,87 MB
Release : 2000
Category : Mathematics
ISBN : 9780521781312
Edited volume on turbulence, first published in 2000.
Author : P. G. Saffman
Publisher : Cambridge University Press
Page : 332 pages
File Size : 21,25 MB
Release : 1995-02-24
Category : Mathematics
ISBN : 9780521477390
Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.
Author : Haralabos Marmanis
Publisher :
Page : 102 pages
File Size : 43,51 MB
Release : 1996
Category :
ISBN :
Author : C.F. Barenghi
Publisher : Springer
Page : 459 pages
File Size : 34,63 MB
Release : 2008-01-11
Category : Technology & Engineering
ISBN : 3540455426
This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.
Author : Christopher Radcliff Anderson
Publisher : American Mathematical Soc.
Page : 776 pages
File Size : 10,52 MB
Release : 1991-12-23
Category : Science
ISBN : 9780821896969
Understanding vortex dynamics is the key to understanding much of fluid dynamics. For this reason, many researchers, using a great variety of different approaches--analytical, computational, and experimental--have studied the dynamics of vorticity. The AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods, held in June 1990 at the University of Washington in Seattle, brought together experts with a broad range of viewpoints and areas of specialization. This volume contains the proceedings from that seminar. The focus here is on the numerical computation of high Reynolds number incompressible flows. Also included is a smaller selection of important experimental results and analytic treatments. Many of the articles contain valuable introductory and survey material as well as open problems. Readers will appreciate this volume for its coverage of a wide variety of numerical, analytical, and experimental tools and for its treatment of interesting important discoveries made with these tools.
Author : Alexandre J. Chorin
Publisher : Springer Science & Business Media
Page : 181 pages
File Size : 14,32 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1441987282
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.
Author : William Hill Reid
Publisher :
Page : 60 pages
File Size : 50,86 MB
Release : 1959
Category :
ISBN :
Author : Javier Jiménez
Publisher :
Page : 129 pages
File Size : 28,42 MB
Release : 2002
Category :
ISBN : 9782730209595
Author : Jie-Zhi Wu
Publisher : Springer Science & Business Media
Page : 776 pages
File Size : 11,96 MB
Release : 2007-04-20
Category : Technology & Engineering
ISBN : 3540290281
This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.