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Fluid Mechanics and Its Applications

Asymptotic Modelling of Fluid Flow Phenomena

Authors: Zeytounian, Radyadour Kh.

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About this book

for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using the Guiraud and Zeytounian (1986). The scheme consists in a set of like equations, considered as random, because they mimic the large eddy fluctuations. The Reynolds stresses are got from stochastic averaging over a family of their solutions. Asymptotics underlies the scheme, but in a rather loose hidden way. We explain this in relation with homogenizati- localization processes (described within the §3. 4 ofChapter 3). Ofcourse the mathematical well posedness of the scheme is not known and the numerics would be formidable! Whether this attempt will inspire researchers in the field of highly complex turbulent flows is not foreseeable and we have hope that the idea will prove useful.

Reviews

From the reviews:

"[...]this book has to be highly recommended both to newcomers in fluid mechanics modelling and to confirmed researchers, since most recent results related to asymptotic analysis in this area can be found in this book."
(Mathematical Reviews 2003A, 2003)

"The author states that the goal of this book is to promote the use of asymptotic methods for developing simplified but rational models for the Navier-Stokes equations which can then be solved numerically to obtain appropriate descriptions of the flow. This is an extremely worthwhile objective because most of the relevant engineering computations are based on relatively adhoc models that are rife with internal inconsistencies. To my knowledge, this is the first book devoted to accomplishing the author’s stated objective." (Marvin E. Goldstein, SIAM Review, Vol. 45 (1), 2003)


Table of contents (12 chapters)

Buy this book

eBook $249.00
price for USA (gross)
  • ISBN 978-0-306-48386-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $319.00
price for USA
  • ISBN 978-1-4020-0432-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $319.00
price for USA
  • ISBN 978-90-481-5939-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Modelling of Fluid Flow Phenomena
Authors
Series Title
Fluid Mechanics and Its Applications
Series Volume
64
Copyright
2002
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-0-306-48386-8
DOI
10.1007/0-306-48386-6
Hardcover ISBN
978-1-4020-0432-2
Softcover ISBN
978-90-481-5939-0
Series ISSN
0926-5112
Edition Number
1
Number of Pages
XVIII, 550
Topics