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Invariants of Turbulence Reynolds Stress and of Dissipation Tensors in Regular Breaking Waves

Dipartimento di Ingegneria e Architettura (DIA), Università di Parma, Parco Area delle Scienze, 181/A, 43124 Parma, Italy
Instituto Interuniversitario de Investigación del Sistema Tierra (IISTA), Universidad de Granada, Avda. del Mediterráneo s/n, 18006 Granada, Spain
Author to whom correspondence should be addressed.
Water 2017, 9(11), 893;
Received: 30 September 2017 / Revised: 30 October 2017 / Accepted: 10 November 2017 / Published: 16 November 2017
(This article belongs to the Special Issue Turbulence in River and Maritime Hydraulics)
PDF [4535 KB, uploaded 16 November 2017]


A series of measurements in a flume with a particle-tracking system in three dimensions applied to breaking waves is used to analyse the structure of turbulence with a full set of variables that usually are available only in numerical simulations. After extracting turbulence, in addition to the standard analysis aiming to quantify the fluxes, i.e., the time-average and the phase-average levels of turbulence and vorticity (details are given in two former papers), a more in-depth description of the structure of turbulence Reynolds stress tensor is given, focussing on the invariants evolution in time and in the vertical. A relation between the components of the Reynolds stress tensor and of the dissipation tensor is depicted. This relation is finalised to possible models of turbulence in breaking waves. View Full-Text
Keywords: breaking waves; turbulence invariants; laboratory experiments breaking waves; turbulence invariants; laboratory experiments

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Longo, S.; Clavero, M.; Chiapponi, L.; Losada, M.A. Invariants of Turbulence Reynolds Stress and of Dissipation Tensors in Regular Breaking Waves. Water 2017, 9, 893.

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