Journal of Scientific Computing

, Volume 35, Issue 2–3, pp 372–396 | Cite as

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

  • Kensuke YokoiEmail author


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).


Interface capturing Level set CLSVOF THINC WLIC Free-surface flow 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Mathematics DepartmentUniversity of CaliforniaLos AngelesUSA

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