A numerical method is developed for modeling the violent motion and fragmentation of an interface between two fluids. The flow field is described through the solution of the Navier-Stokes equations for both fluids (in this case water and air), and the interface is captured by a Level-Set function. Particular attention is given to modeling the interface, where most of the numerical approximations are made. Novel features are that the reintialization procedure has been redefined in cells crossed by the interface; the density has been smoothed across the interface using an exponential function to obtain an equally stiff variation of the density and of its inverse; and we have used an essentially non-oscillatory scheme with a limiter whose coefficients depend on the distance function at the interface. The results of the refined scheme have been compared with those of the basic scheme and with other numerical solvers, with favorable results. Besides the case of the vertical surface-piercing plate (for which new laboratory measurements were carried out) the numerical method is applied to problems involving a dam-break and wall-impact, the interaction of a vortex with a free surface, and the deformation of a cylindrical bubble. Promising agreement with other sources of data is found in every case.
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e-mail: g.colicchio@insean.it
e-mail: j.r.chaplin@soton.ac.uk
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November 2005
Technical Papers
Level-Set Computations of Free Surface Rotational Flows
Giuseppina Colicchio,
Giuseppina Colicchio
School of Civil Engineering and the Environment,
e-mail: g.colicchio@insean.it
University of Southampton
, Southampton, UK
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Maurizio Landrini,
Maurizio Landrini
INSEAN
, The Italian Ship Model Basin
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John R. Chaplin
John R. Chaplin
School of Civil Engineering and the Environment,
e-mail: j.r.chaplin@soton.ac.uk
University of Southampton
, Southampton, UK
Search for other works by this author on:
Giuseppina Colicchio
School of Civil Engineering and the Environment,
University of Southampton
, Southampton, UKe-mail: g.colicchio@insean.it
Maurizio Landrini
INSEAN
, The Italian Ship Model Basin
John R. Chaplin
School of Civil Engineering and the Environment,
University of Southampton
, Southampton, UKe-mail: j.r.chaplin@soton.ac.uk
J. Fluids Eng. Nov 2005, 127(6): 1111-1121 (11 pages)
Published Online: July 8, 2005
Article history
Received:
November 3, 2004
Revised:
July 8, 2005
Citation
Colicchio, G., Landrini, M., and Chaplin, J. R. (July 8, 2005). "Level-Set Computations of Free Surface Rotational Flows." ASME. J. Fluids Eng. November 2005; 127(6): 1111–1121. https://doi.org/10.1115/1.2062707
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