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1993 | OriginalPaper | Buchkapitel

Prospects of statistical approaches to the turbulence problem — how statistical methods, e.g. the theory of random fields, should be used in view of recent developments regarding the structure of turbulence, dynamical chaos, strange attractors, fractals

verfasst von : Themistocles Dracos, Arkady Tsinober

Erschienen in: New Approaches and Concepts in Turbulence

Verlag: Birkhäuser Basel

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First, about the applications of the theory of random fields. One of the issues which we found interesting is the problem of non-universality of the local structure of turbulence. It is connected with the phenomena of intermittency, described in terms of break-down coefficients and multifractals. Special attention should be paid to the logarithmically periodic modulation (lacunarity) and to a physically distinguished scale factor (see E. Novikov, 1990, Phys. Fluids, A2 (5), 814). This scale factor leads to a generalisation of the concept of similarity and potentially to a deeper understanding of the internal mechanism of turbulent flows.

Metadaten
Titel
Prospects of statistical approaches to the turbulence problem — how statistical methods, e.g. the theory of random fields, should be used in view of recent developments regarding the structure of turbulence, dynamical chaos, strange attractors, fractals
verfasst von
Themistocles Dracos
Arkady Tsinober
Copyright-Jahr
1993
Verlag
Birkhäuser Basel
DOI
https://doi.org/10.1007/978-3-0348-8585-0_26

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