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A Numerical Method for Free-Surface Flows and Its Application to Droplet Impact on a Thin Liquid Layer

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Abstract

We propose a simple and practical numerical method for free surface flows. The method is based various methods, the level set method of an interface capturing method, the THINC/WLIC (tangent of hyperbola for interface capturing/weighed line interface calculation) method of an interface tracking method, the CIP-CSL (constrained interpolation profile conservative semi-Lagrangian) method of a conservation equation solver, VSIAM3 (volume/surface integrated average based multi-moment method) of a fluid solver and the CSF (continuum surface force) model of a surface force model. The level set method and the THINC/WLIC method are combined by using a CLSVOF (coupled level set and volume-of-fluid) framework. The method is applied to Rayleigh-Taylor instability with surface tension force and droplet impact on a thin liquid layer (milk crown).

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  1. Mathematics Department, University of California, Los Angeles, CA, 90095-1555, USA

    Kensuke Yokoi

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  1. Kensuke Yokoi
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Correspondence to Kensuke Yokoi.

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This work is supported in part by ONR Grant #N00014-03-1-0071.

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Yokoi, K. A Numerical Method for Free-Surface Flows and Its Application to Droplet Impact on a Thin Liquid Layer. J Sci Comput 35, 372–396 (2008). https://doi.org/10.1007/s10915-008-9202-z

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