Asymptotic Analysis and Boundary Layers [electronic resource] /by Jean Cousteix, Jacques Mauss.
by Cousteix, Jean [author.]; Mauss, Jacques [author.]; SpringerLink (Online service).
Material type:
BookSeries: Scientific Computation: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: XVII, 432 p. 85 illus. online resource.ISBN: 9783540464891.Subject(s): Physics | Computer science | Engineering mathematics | Hydraulic engineering | Physics | Numerical and Computational Methods | Computational Science and Engineering | Appl.Mathematics/Computational Methods of Engineering | Engineering Fluid DynamicsDDC classification: 530.1 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QC1-999 (Browse shelf) | Available |
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| QA75.5-76.95 Neural Information Processing | QA75.5-76.95 Neural Information Processing | QA75.5-76.95 Neural Information Processing | QC1-999 Asymptotic Analysis and Boundary Layers | HD28-70 Making Growth Work | Q334-342 Discovery Science | QC770-798 Dynamics and Thermodynamics with Nuclear Degrees of Freedom |
to Singular Perturbation Problems -- Boundary Layer Structure -- Asymptotic Expansions -- Successive Complementary Expansion Method -- Ordinary Differential Equations -- High Reynolds Number Flows -- Interactive Boundary Layer -- Applications of Interactive Boundary Layer Models -- Regular Forms of Interactive Boundary Layer -- Turbulent Boundary Layer -- Channel Flow -- Conclusion.
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.
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