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Asymptotic Modelling of Fluid Flow Phenomena (Paperback, Softcover reprint of the original 1st ed. 2002)
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Asymptotic Modelling of Fluid Flow Phenomena (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Fluid Mechanics and Its Applications, 64
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Total price: R5,535
Discovery Miles: 55 350
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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."
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