Vortex Dominated Flows

Analysis and Computation for Multiple Scale Phenomena

  • Lu Ting
  • Rupert Klein
  • Omar M. Knio

Part of the Applied Mathematical Sciences book series (AMS, volume 161)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 1-6
  3. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 7-33
  4. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 35-154
  5. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 155-225
  6. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 227-283
  7. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 285-346
  8. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 347-382
  9. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 383-453
  10. Lu Ting, Rupert Klein, Omar M. Knio
    Pages 455-462
  11. Back Matter
    Pages 463-508

About this book

Introduction

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.

Keywords

Asymptotic Theory Asymptotics Compressibility Multiple Scales Numerical Simulations Viscous Flows Vortex Filaments Vortical Flows Vorticity nonlinear dynamics simulation

Authors and affiliations

  • Lu Ting
    • 1
  • Rupert Klein
    • 2
    • 3
  • Omar M. Knio
    • 4
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Mathematik und InformatikFreie Universität BerlinBerlinGermany
  3. 3.Potsdam Institut für KlimafolgenforschungPotsdamGermany
  4. 4.Department of Mechanical EngineeringThe Johns Hopkins UniversityBaltimoreUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-68582-1
  • Copyright Information Springer 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-68581-4
  • Online ISBN 978-3-540-68582-1
  • Series Print ISSN 0066-5452
  • About this book