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Extended self-similarity in turbulent flows

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi
Phys. Rev. E 48, R29(R) – Published 1 July 1993
An article within the collection: PRE Milestones
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Abstract

We report on the existence of a hitherto undetected form of self-similarity, which we call extended self-similarity (ESS). ESS holds at high as well as at low Reynolds number, and it is characterized by the same scaling exponents of the velocity differences of fully developed turbulence.

  • Received 9 November 1992

DOI:https://doi.org/10.1103/PhysRevE.48.R29

©1993 American Physical Society

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This article appears in the following collection:

PRE Milestones

Physical Review E published its 50,000th paper in September 2015. To celebrate this, the journal presents a series of milestone papers that were published since its inception in 1993. This is an eclectic collection of papers that made significant contributions to their field, chosen by the editors. A new milestone will be added each week.

Authors & Affiliations

R. Benzi

  • Dipartimento di Fisica, Università di Roma ‘‘Tor Vergata,’’ via della Ricerca Scientifica 1, 00133, Roma, Italy

S. Ciliberto

  • Ecole Normale Supérieure–Lyon, 46 Allée d’Italie, 69364 Lyon, France

R. Tripiccione

  • Istituto Nazionale di Fisica, Sezione di Pisa, S. Piero a Grado, 50100 Pisa, Italy

C. Baudet

  • Ecole Normale Supérieure–Lyon, 46 Allée d’Italie, 69364 Lyon, France

F. Massaioli

  • Dipartimento di Fisica, Università di Roma ‘‘Tor Vergata,’’ via della Ricerca Scientifica 1, 00133, Roma, Italy

S. Succi

  • IBM European Center for Scientific and Engineering Computing, via Oceano Pacifico, 00100 Roma, Italy

Comments & Replies

Reply to ‘‘Comment on ‘Extended self-similarity in turbulent flows’ ’’

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi
Phys. Rev. E 51, 2672 (1995)

Comment on ‘‘Extended self-similarity in turbulent flows’’

Willem van de Water and Janine Herweijer
Phys. Rev. E 51, 2669 (1995)

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Issue

Vol. 48, Iss. 1 — July 1993

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