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Analytical theories of turbulence

Published online by Cambridge University Press:  29 March 2006

Steven A. Orszag
Affiliation:
National Center for Atmospheric Research, Boulder, Colorado

Abstract

This paper surveys the current state of analytical attempts at a theory of turbulence. The formulation of the problem in terms of moments is discussed. The difficulty posed by the closure problem is examined in detail using the quasinormal approximation as an example. The notion of dynamical relaxation by non-linear scrambling leads to the introduction of eddy relaxation times and the direct-interaction approximation. The properties of the direct-interaction approximation are indicated. Finally, a comparison is made between numerical solution of the equations of turbulence their and direct numerical simulation of the Navier–Stokes equations.

Type
Research Article
Copyright
© 1970 Cambridge University Press

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References

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