A simple level set method for solving Stefan problems
Journal of Computational Physics
The point-set method: front-tracking without connectivity
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
Journal of Scientific Computing
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
Journal of Computational Physics
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
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An essential ingredient in the simulation of multiphase fluid flow with surface tension is the accurate computation of the interface curvature. Curvature effects become more significant as we decrease the length scale of the problem at hand and thus accurate computation of curvature is especially important when considering microscale multiphase flows. We compared the curvature field calculated by three methods: the front capturing approach exemplified by the Level Set Method, the front tracking approach exemplified by Tryggvason's original Front Tracking method and a new Hybrid approach used in the context of the Level Contour Reconstruction Method, LCRM [S. Shin, S.I Abdel-Khalik, V. Daru and D. Juric, Accurate representation of surface tension using the level contour reconstruction method, JCP 203 (2005) 493-516]. We find that both the Level Set and Hybrid LCRM show great improvement if curvature is first calculated directly on the phase boundary and then redistributed back to the underlying grid.