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Theoretical Approaches to Turbulence (Paperback, Softcover reprint of the original 1st ed. 1985)
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Theoretical Approaches to Turbulence (Paperback, Softcover reprint of the original 1st ed. 1985)
Series: Applied Mathematical Sciences, 58
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Turbulence is the lIDst natural nDde of fluid lIDtion, and has been
the subject of scientific study for all Dst a century. During this
period, various ideas and techniques have evolved to nDdel
turbulence. Following Saffman, these theoretical approaches can be
broadly divided into four overlapping categories -- (1) analytical
lIDdelling, (2) physical lIDdelling, (3)
phenomenologicalllDdelling, and (4) nurerical lIDdelling. With the
purpose of stmtnarizing our =ent understanding of these theoretical
approaches to turbulence, recognized leaders (fluid dynamicists,
mathematicians and physicists) in the field were invited to
participate in a formal workshop during October 10-12, 1984,
sponsored by The Institute for CooIputer Applications in Science
and Engineering and NASA Langley Research Center. Kraiciman,
McCcxnb, Pouquet and Spiegel represented the category of analytical
nDdelling, while Landahl and Saffman represented physical
lIDdelling. The contributions of Latmder and Spalding were in the
category of phenanenological lIDdelling, and those of Ferziger and
Reynolds in the area of nurericalllDdelling. Aref, Cholet, Lumley,
Moin, Pope and Temam served on the panel discussions. With the care
and cooperation of the participants, the workshop achieved its
purpose, and we believe that its proceedings published in this
vol\. llre has lasting scientific value. The tone of the workshop
was set by two introductory talks by Bushnell and ChaImm. Buslmell
presented the engineering viewpoint while Chapman reviewed from a
historical perspective developments in the study of turbulence. The
remaining talks dealt with specific aspects of the theoretical
approaches to fluid turbulence.
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