Lectures on turbulence

Roberto Benzi; Federico Toschi

doi:10.1016/j.physrep.2023.05.001

Lectures on turbulence

Roberto Benzi
, Federico Toschi (Corresponding author)

Research output: Contribution to journal › Review article › peer-review

33 Citations (Scopus)

1631 Downloads (Pure)

Abstract

Fluid dynamics turbulence refers to the chaotic and unpredictable dynamics of flows. Despite the fact that the equations governing the motion of fluids are known since more than two centuries, a comprehensive theory of turbulence is still a challenge for the scientific community. Rather recently a number of important breakthroughs have clarified many relevant, fascinating, and largely unexpected, statistical features of turbulent fluctuations. In these lectures, we discuss recent advances in the field with the aim of highlighting the physical meaning and implication of these new ideas and their role in contributing to disentangling different parts of our understanding of the turbulence problem. The lectures aim at introducing non-experts to the subject and no previous knowledge of the field is required.

Original language	English
Pages (from-to)	1-106
Number of pages	106
Journal	Physics Reports
Volume	1021
DOIs	https://doi.org/10.1016/j.physrep.2023.05.001
Publication status	Published - 6 Jun 2023

Funding

We would like to warmly acknowledge all the many collaborators, friends, and colleagues with whom we have interacted during the journey that took us here. While it is simply impossible to individually mention all of them special gratitude goes to Luca Biferale, Massimo Vergassola, Angelo Vulpiani and Uriel Frisch. This publication is part of the project “Shaping turbulence with smart particles” (with project number OCENW.GROOT.2019.031 of the research programme Open Competitie ENW XL which is (partly) financed by the Dutch Research Council (NWO) . This work was partially supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 882340 ). We would like to warmly acknowledge all the many collaborators, friends, and colleagues with whom we have interacted during the journey that took us here. While it is simply impossible to individually mention all of them special gratitude goes to Luca Biferale, Massimo Vergassola, Angelo Vulpiani and Uriel Frisch. This publication is part of the project “Shaping turbulence with smart particles” (with project number OCENW.GROOT.2019.031 of the research programme Open Competitie ENW XL which is (partly) financed by the Dutch Research Council (NWO). This work was partially supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 882340).

Funders	Funder number
European Union's Horizon 2020 - Research and Innovation Framework Programme
European Union's Horizon 2020 - Research and Innovation Framework Programme
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
European Union's Horizon 2020 - Research and Innovation Framework Programme	882340

Keywords

Fluid dynamics turbulence

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10.1016/j.physrep.2023.05.001

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Lectures on turbulence

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