Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Scientific Computation (SCIENTCOMP)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.Reviews
From the book reviews:
"The book falls into two quite distinct parts, reflecting the expertises of the two authors. The first part gives a detailed and formal description of asymptotic methods, whilst the second part considers a number of fluid mechanics problems. … There are numerous problems presented at the end of each chapter, which are accompanied by extremely comprehensive solutions … . this book should prove a useful text for final year undergraduate students and for postgraduate (both taught and research) students wishing to master modern asymptotic methods." (P. W. Duck, Mathematical Reviews, Issue 2008 a)
“The novelty of this book lies in the use of thorough and advanced singular perturbation methods in combination with detailed applications to fluid mechanics. … In the combination of asymptotics and fluid mechanics in such a fundamental and detailed approach, the book is unique in the science literature.” (Ferdinand Verhulst, Dynamical Systems Magazine, October, 2007)
"Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asymptotique et couche limite published in the Springer series Mathématique et Applications. The book presents a new method of asymptotic analysis of boundary layer problems, the successive Complementary Expansion Method (SCEM). … With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is selfcontained. It is accessible to graduate and postgraduate students of engineering and physics with a good knowledge in fluid mechanics." (Francisco Perez Acosta, Zentralblatt MATH, Vol. 1115 (17), 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Asymptotic Analysis and Boundary Layers
Authors: Jean Cousteix, Jacques Mauss
Series Title: Scientific Computation
DOI: https://doi.org/10.1007/978-3-540-46489-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-46488-4Published: 16 March 2007
Softcover ISBN: 978-3-642-07983-2Published: 30 November 2010
eBook ISBN: 978-3-540-46489-1Published: 22 March 2007
Series ISSN: 1434-8322
Series E-ISSN: 2198-2589
Edition Number: 1
Number of Pages: XVII, 434
Topics: Acoustics, Numerical and Computational Physics, Simulation, Computational Science and Engineering, Mathematical and Computational Engineering, Engineering Fluid Dynamics