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Bound-state formation in interfacial turbulence: direct numerical simulations and theory

Pradas, M.; Kalliadasis, S.; Nguyen, P.-K. and Bontozoglou, V. (2013). Bound-state formation in interfacial turbulence: direct numerical simulations and theory. Journal of Fluid Mechanics, 716, article no. R2.

URL: http://journals.cambridge.org/article_S00221120120...
DOI (Digital Object Identifier) Link: https://doi.org/10.1017/jfm.2012.506
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Abstract

We examine pulse interaction and bound-state formation in interfacial turbulence using the problem of a falling liquid film as a model system. We perform direct numerical simulations (DNSs) of the full Navier–Stokes equations and associated wall and free-surface boundary conditions and we examine both analytically and numerically a low-dimensional (LD) model for the film. For a two-pulse system, DNSs reveal the existence of very rich and complex pulse interactions, characterized by either overdamped, underdamped or self-sustained oscillating behaviours, all of them found to be in excellent agreement with LD results. Having demonstrated the reliability of the LD model for two-pulse systems/smaller domains, we use it to investigate larger domains with many interacting pulses, where DNSs are computationally expensive. We demonstrate that such systems are likely to be dominated by a self-sustained oscillatory dynamics.

Item Type: Journal Item
Copyright Holders: 2013 Cambridge University Press
ISSN: 1469-7645
Extra Information: 11 pp.
Keywords: instability; interfacial flows (free surface); thin films
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 41217
Depositing User: Marc Pradas
Date Deposited: 03 Nov 2014 10:37
Last Modified: 07 Dec 2018 10:26
URI: http://oro.open.ac.uk/id/eprint/41217
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