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The N’s of Turbulence

  • Arkady TsinoberEmail author
Chapter

Abstract

We start with the N’s of turbulence. These comprise most of the reasons why turbulence is so impossibly difficult along with the essential constructive aspects facilitating all that is found in this book, i.e to a large extent the “essence” of turbulence. Whatever the approach there are important common issues, difficulties, features. Most of theses belong to the following categories: nonlinearity, nonlocality (and consequently “nondecomposabilty”) and non-integrability, non-Gaussianity and non-Markovianity, non-equilibrium and (time) irreversible, no scale invariance and no other symmetries, no small parameters and no low-dimensional description. As a consequence there no theory based on first principles as such NSE equations – a real frustration for a theoretician. In other words, the terms without the “non”s (e.g., non-linearity, non-locality, etc.) do belong to the category that theory can handle, but this seems unfortunately to exclude turbulence. There are also other closely related issues as, e.g. uncertainty and unpredictability.

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Authors and Affiliations

  1. 1.School of Mechanical EngineeringTel Aviv UniversityTel AvivIsrael

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