Overview
- 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
Part of the book series: Applied Mathematical Sciences (AMS, volume 161)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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)
Authors and Affiliations
Bibliographic Information
Book Title: Vortex Dominated Flows
Book Subtitle: Analysis and Computation for Multiple Scale Phenomena
Authors: Lu Ting, Rupert Klein, Omar M. Knio
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-540-68582-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-68581-4Published: 25 June 2007
Softcover ISBN: 978-3-642-08812-4Published: 25 November 2010
eBook ISBN: 978-3-540-68582-1Published: 05 July 2007
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
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: Theoretical, Mathematical and Computational Physics, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Fluid- and Aerodynamics, Numerical Analysis, Engineering Fluid Dynamics