Next Article in Journal
Quality of Roof-Harvested Rainwater as a Function of Environmental and Air Pollution Factors in a Coastal Mediterranean City (Haifa, Israel)
Next Article in Special Issue
On the Hydrodynamic Geometry of Flow-Through versus Restricted Lagoons
Previous Article in Journal
Effects of Permafrost Degradation on the Hydrological Regime in the Source Regions of the Yangtze and Yellow Rivers, China
Article Menu
Issue 11 (November) cover image

Export Article

Open AccessArticle
Water 2017, 9(11), 893; doi:10.3390/w9110893

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.
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)
View Full-Text   |   Download 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

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Water EISSN 2073-4441 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top