Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Applied Mathematical Sciences
cover

Vortex Dominated Flows

Analysis and Computation for Multiple Scale Phenomena

Authors: Ting, Lu, Klein, Rupert, Knio, Omar M

  • Treats theoretical foundations of vortical flows
  • Detailed treatment of the dynamics of slender vortex filaments, including fundamental derivations
  • Presents numerical schemes based on asymptotic theory
  • Presents applications of matched asymptotics to physical models and to numerics.
  • Useful for both graduate students and researchers
see more benefits

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-540-68582-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA in USD
  • ISBN 978-3-540-68581-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-642-08812-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this book

Addressed to both graduate students and researchers this monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and it demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The dynamics of slender vortex filaments is discussed in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex generated sound and thermoacoustics.

Reviews

From the reviews:

"...an indispensable learning and reference source for anyone wishing to study the motion of viscous vortices...permeating the book is the obvious insight and intuition of Lu Ting into vortex dynamics and his record for translating this insight and intuition into practical methods and solutions" Max D. Gunzberger, Virginia Tech

"An up-to-date description of the theory of viscous incompressible vortical flows including important remarks on their numerical treatment. … The book is very well-written … and will most certainly quickly develop into the standard reference for many years to come. … will be the source of innumerable insights even for inclined beginners who are willing to work hard. It is certainly indispensable for the research worker and well-suited to be used in a graduate course. … is simply a ‘must’." (Thomas Sonar, Zeitschrift für Angewandte Mathematik und Physik, Vol. 59, 2008)

"This monograph familiarizes the reader with theoretical foundations of vortex-dominated flows, provides in-depth analyses via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. … this book serves both for graduate students and researchers working in the areas of applied mathematics and of theoretical and/or computational fluid dynamics." (Felix Kaplanski, Zentralblatt MATH, Vol. 1130 (8), 2008)


Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 1-6

    Ting, Lu (et al.)

  • Vortex-Dominated Flows and General Theory

    Pages 7-33

    Ting, Lu (et al.)

  • Motion and Decay of Vortex Filaments — Matched Asymptotics

    Pages 35-154

    Ting, Lu (et al.)

  • Nonlinear Dynamics of Nearly Straight Vortex Filaments

    Pages 155-225

    Ting, Lu (et al.)

  • Numerical Simulation of Slender Vortex Filaments

    Pages 227-283

    Ting, Lu (et al.)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-540-68582-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA in USD
  • ISBN 978-3-540-68581-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-642-08812-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Vortex Dominated Flows
Book Subtitle
Analysis and Computation for Multiple Scale Phenomena
Authors
Series Title
Applied Mathematical Sciences
Series Volume
161
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-68582-1
DOI
10.1007/978-3-540-68582-1
Hardcover ISBN
978-3-540-68581-4
Softcover ISBN
978-3-642-08812-4
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XIV, 508
Number of Illustrations
131 b/w illustrations, 8 illustrations in colour
Additional Information
Based upon volume 374 of the series Lecture Notes in Physics. With many updates and 4 new chapters.
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.