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Nonlinear Hydrodynamic Modeling: A Mathematical Introduction

  • Textbook
  • © 1987

Overview

Editors:
  1. Hampton N. Shirer
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Part of the book series: Lecture Notes in Physics (LNP, volume 271)

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Table of contents (18 chapters)

  1. Front Matter

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  2. Modeling: A strategy for understanding

    • John A. Dutton
    Pages 1-21

  3. A simple nonlinear model of convection

    • Hampton N. Shirer
    Pages 22-46

  4. From the equations of motion to spectral models

    • R. Wayne Higgins
    Pages 47-69

  5. Linear stability analysis

    • Ronald Gelaro
    Pages 70-85

  6. Bifurcation analysis of stationary solutions

    • Ronald Gelaro
    Pages 86-105

  7. Typical branching forms: Stationary solutions

    • Paul A. Hirschberg
    Pages 106-130

  8. The expected branching solution: Preferred wavelengths

    • Mark J. Laufersweiler
    Pages 131-163

  9. Identifying crucial parameters with contact catastrophe theory

    • R. Wayne Higgins, Arthur N. Samel
    Pages 164-196

  10. Hierarchies of transitions: Secondary branching

    • Paul A. Hirschberg
    Pages 197-224

  11. Alexander-Yorke Continuation: Numerically finding all the stationary solutions in a spectral model

    • Ronald Gelaro
    Pages 225-263

  12. Typical branching forms: Periodic solutions

    • Robert J. Pyle
    Pages 264-291

  13. The expected branching solution: Preferred wavelengths and orientations

    • David J. Stensrud
    Pages 292-324

  14. On computing the branching direction of bifurcating periodic solutions

    • Hampton N. Shirer
    Pages 325-354

  15. Bifurcation analysis of periodic solutions

    • Steven B. Feldstein
    Pages 355-383

  16. The transition to turbulence

    • Jon M. Nese
    Pages 384-411

  17. Diagnosing the structures of attractors

    • Jon M. Nese
    Pages 412-443

  18. Introduction to topological hydrodynamics

    • John A. Dutton, Robert Wells
    Pages 444-504

  19. Modeling and metamodeling

    • John A. Dutton
    Pages 505-507

  20. Back Matter

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Keywords

Bibliographic Information

  • Book Title: Nonlinear Hydrodynamic Modeling: A Mathematical Introduction

  • Editors: Hampton N. Shirer

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-17557-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-662-13643-0Published: 17 April 2014

  • eBook ISBN: 978-3-540-47456-2Published: 05 July 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XVI, 548

  • Number of Illustrations: 21 b/w illustrations

  • Topics: Fluid- and Aerodynamics

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