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Solan & Z. V. © 1993 IUTAM. All rights reserved. INSTABILITY AND TURBULENCE IN SHEAR FLOWS A. A. Abstract Increasing attention is being paid to the large scale structure of turbulence and to the socalled "coherent" vortical structures which have been disclosed and studied for a number of turbulent shear flows in laboratory experiments and in numerical simulations. The coherent structures develop from the instability waves which create the flow; they portray the genesis of the turbulence in the primary instability of the global vorticity distribution.

Such realization of turbulent flow in time-evolving detail in a computer is not really a "model" but rather an alternative to experimental realization in the laboratory, an alternative which has many attractive and useful features. It is limited at present in the values of Reynolds number (- 103) for which accurate simulation can be achieved. But even when and if it becomes possible to numerically simulate turbulent flows at will, there will still be a practical need and an intellectual incentive to seek the simplification and insight provided by models.

Only recently have they fully come 18 together in the view that the primary instability due to the mean global vorticity distribution is the driving mechanism for the developing turbulent flow. The genesis of the turbulence is in that instability. Insightful theories should include that fundamental mechanism as the one from which other aspects of the turbulence derive and to which they relate: the indeterminancy and statistical nature of the coherent structures; the development of smaller and larger structure; and so on.

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