Turbulence pp 139-146 | Cite as

Wavelet Analysis

(of single-point turbulence data)
  • A. Arneodo
  • E. Bacry
  • J. F. Muzy
Part of the NATO ASI Series book series (NSSB, volume 341)


The central problem of three-dimensional fully developed turbulence is the energy cascading process. It has resisted all attempts at a full understanding or mathematical formulation. The main reasons for this failure are related to the large hierarchy of scales involved, the highly nonlinear character of the Navier-Stokes equations and the spatial intermit-tency of the dynamical active regions[1,2] In this context, statistical and scaling properties have been the basic concepts used to characterize turbulent flows. One of the striking signatures of the so-called intermittency phenomenon is the nongaussian statistics at small scales.


Cascade Model Inertial Range Integral Length Scale Velocity Increment Singularity Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • A. Arneodo
    • 1
  • E. Bacry
    • 2
  • J. F. Muzy
    • 1
  1. 1.Centre de Recherche Paul PascalPessacFrance
  2. 2.UFR de MathématiquesUniversité de Paris VIIParis cedex 05France

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