Asymptotic Analysis and Boundary Layers

  • Jean Cousteix
  • Jacques Mauss
Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

About this book

Introduction

This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general comprehensive presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified.
With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained. It is written on a mathematical level accessible to graduate and post-graduate students of engineering and physics with a good knowledge in fluid mechanics. Researchers and practitioners will esteem it as a valuable monograph in their field of work.

Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asymptotique et couche limite published in the Springer series Mathématiques et Applications.

Keywords

Asymptotic analysis Channel flows Interactive boundary layer Singular perturbation problem calculus differential equation fluid mechanics layers mechanics

Authors and affiliations

  • Jean Cousteix
    • 1
  • Jacques Mauss
    • 2
  1. 1.ONERA Centre de ToulouseToulouseFrance
  2. 2.Institut de Mécanique des Fluides de Toulouse (IMFT)Uiversité Paul SabatierToulouse CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-46489-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-46488-4
  • Online ISBN 978-3-540-46489-1
  • Series Print ISSN 1434-8322
  • About this book