Secondary instabilities, coherent structures, and turbulence

S. A. Orszag, R. B. Pelz, Bruce J Bayly

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this paper, we review recent progress on several problems of transition and turbulence. First, we explore the role of secondary instabilities in transition to turbulence in both wall bounded and free shear flows. It is shown how the competition between the secondary instabilities and classical in viscid inflectional instabilities are important in determining the evolution of free shear flows. An outline of a general theory of in viscid instability is given. Then, we explore recent ideas on the force-free nature of coherent flow structures in turbulence. The role of viscosity in generating small-scale features of turbulence is discussed for both the Taylor-Green vortex and for two-dimensional turbulence. Finally, we survey recent ideas on the application of renormalization group methods to turbulence transport models. These methods yield fundamental relationships between various types of turbulent flow quantities and should be useful for the development of transport models in complex geometries with complicated physics, like chemical reactions and buoyant heat transfer.

Original languageEnglish (US)
Title of host publication7th Computational Physics Conference, 1985
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - 1985
Externally publishedYes
Event7th Computational Physics Conference, 1985 - Cincinnati, United States
Duration: Jul 15 1985Jul 17 1985


Other7th Computational Physics Conference, 1985
CountryUnited States

ASJC Scopus subject areas

  • Engineering(all)

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    Orszag, S. A., Pelz, R. B., & Bayly, B. J. (1985). Secondary instabilities, coherent structures, and turbulence. In 7th Computational Physics Conference, 1985 American Institute of Aeronautics and Astronautics Inc, AIAA.