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Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances

  • Book
  • © 2010

Overview

Editors:
  1. Herbert Steinrück

    1. Vienna University of Technology, Austria

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  • Up-to-date review of asymptotic methods: matched asymptotic methods, multiple scales methods, exponential asymptotics, hybrid methods
  • Includes theory of flow separation - Includes turbulence asymptotics
  • Covers different fields of fluid mechanics: boundary- layer flows, meteorology, waves, ...

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 523)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Introduction to Matched Asymptotic Expansions

    • Herbert Steinrück
    Pages 1-21

  3. Asymptotic Methods For PDE Problems In Fluid Mechanics and Related Systems With Strong Localized Perturbations In Two-Dimensional Domains

    • Michael J. Ward, Mary-Catherine Kropinski
    Pages 23-70

  4. Exponential Asymptotics and Generalized Solitary Waves

    • Roger Grimshaw
    Pages 71-120

  5. Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves

    • Philippe H. Trinh
    Pages 121-126

  6. Multiple scales methods in meteorology

    • Rupert Klein, Stefan Vater, Eileen Paeschke, Daniel Ruprecht
    Pages 127-196

  7. Multiple Scales Analysis of the Turbulent Undular Hydraulic Jump

    • Herbert Steinrück
    Pages 197-219

  8. Modern Aspects of High-Reynolds-Number Asymptotics of Turbulent Boundary Layers

    • Bernhard Scheichl
    Pages 221-246

  9. Interactive Boundary Layer (IBL)

    • P. -Y. Lagrée
    Pages 247-286

  10. Interaction mechanisms in the mixed convection flow past a horizontal plate

    • Herbert Steinrück
    Pages 287-310

  11. Asymptotic Theory of Separated Flows

    • Anatoly I. Ruban
    Pages 311-408

  12. Weakly 3D effects upstream a surface mounted obstacle in transonic flows

    • A. Kluwick, M. Kornfeld
    Pages 409-414

  13. Self-Similar Blow-up Structures in Unsteady Marginally Separated Flows

    • Mario Aigner, Stefan Braun
    Pages 415-420
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Keywords

About this book

A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

Editors and Affiliations

  • Vienna University of Technology, Austria

    Herbert Steinrück

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