Asymptotic Modelling of Fluid Flow Phenomena

  • Radyadour Kh. Zeytounian

Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 64)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Introductory Comments and Summary

  3. Setting the Scene

  4. Main Astmptotic Models

  5. Three Specific Asymptotic Models

  6. Back Matter
    Pages 527-549

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.


aerodynamics calculus convection development model modeling simulation

Authors and affiliations

  • Radyadour Kh. Zeytounian
    • 1
  1. 1.University of LilleLilleFrance

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0432-2
  • Online ISBN 978-0-306-48386-8
  • Series Print ISSN 0926-5112
  • Buy this book on publisher's site