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An interface-capturing method for incompressible two-phase flows. Validation and application to bubble dynamics

Bonometti, Thomas and Magnaudet, Jacques An interface-capturing method for incompressible two-phase flows. Validation and application to bubble dynamics. (2007) International Journal of Multiphase Flow, 33 (2). 109-133. ISSN 0301-9322

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Official URL: http://dx.doi.org/10.1016/j.ijmultiphaseflow.2006.07.003

Abstract

We report on the development and applications of an interface-capturing method aimed at computing threedimensional incompressible two-phase flows involving high density and viscosity ratios, together with capillary effects. The numerical approach borrows some features to the Volume of Fluid method (since it is essentially based on the transport of the local volume fraction of the liquid) as well as to the Level Set technique (as no explicit reconstruction of the interface is carried out). The transport of the volume fraction is achieved by using a flux-limiting Zalesak scheme and the fronts are prevented from spreading in time by a specific strategy in which the velocity at nodes crossed by the interface is modified to keep the thickness of the transition region constant. As shown on several test cases, this algorithm allows the interface to deform properly while maintaining the numerical thickness of the transition region within three computational cells whatever the structure of the local flow field. The full set of governing equations is then used to investigate some fundamental aspects of bubble dynamics. More precisely we focus on the evolution of shape and rise velocity of a single bubble over a wide range of physical parameters and on head-on and side-by-side interactions between two rising bubbles.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF can be found at International Journal of Multiphase Flow website: http://www.sciencedirect.com/science/article/pii/S0301932206001315
HAL Id:hal-00862680
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Thomas BONOMETTI
Deposited On:17 Sep 2013 09:57

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