Dynamical Organization around Turbulent Bursts View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

1998

AUTHORS

F. Okkels , M. H. Jensen

ABSTRACT

It is well-known from experiments and numerical simulations that intermittency in turbulent flows produces corrections both to the classical Kolmogorov —5/3 scaling law of the energy spectrum but also for other moments in the inertial range [1, 2]. Still very little is known about the structure of the intermittent bursts which arise in turbulent flows. This work presents an analysis of the intermittent bursts in the turbulent GOY shell model, inspired by work of Dombre and Gilson [3]. Shell models are formed by various truncation techniques of the Naiver-Stokes equations and have become paradigm models for the study of turbulence at very high Reynolds numbers [4, 5, 6, 7, 8, 9, 10]. In the GOY model wave-number space is divided it into N separate shells with characteristic wavenumber kn ~ λn (λ = 2) where n = 1, …, N. Each shell is assigned a complex amplitude un which can be imagined as the velocity gradient on a scale ℓn= 1/kn. By assuming conservation of phase space, energy and helicity and interactions among the nearest and next nearest neighbor shells, one arrives at the following evolution equations [6, 8, 9] 1 with boundary conditions aN-1 = aN = b1 = bN = c1 = c2 = 0, and constant forcing f on the fourth shell. More... »

PAGES

235-238

Book

TITLE

Advances in Turbulence VII

ISBN

978-94-010-6151-3
978-94-011-5118-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-011-5118-4_58

DOI

http://dx.doi.org/10.1007/978-94-011-5118-4_58

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1003007786


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