# Robust Simulation of Small-Scale Thin Features in SPH-based Free Surface Flows

 Title Robust Simulation of Small-Scale Thin Features in SPH-based Free Surface Flows Publication Type Journal Article Year of Publication 2014 Authors He, X, Wang, H, Zhang, F, Wang, G, Zhou, K Journal Life.Kunzhou.Net Volume 1 Pagination 1–8 ISSN 07300301 ISBN Number 0103660054 Abstract The control polygon of a Bezier curve is well-defined and meaningful–-there is a sequence of weights under which the limiting position of the curve is the control polygon. For a Bezier surface patch, there are many possible polyhedral control structures, and none are canonical. We propose a not necessarily polyhedral control structure for surface patches, regular control surfaces, which are certain C\^0 spline surfaces. While not unique, regular control surfaces are exactly the possible limiting positions of a Bezier patch when the weights are allowed to vary, but the control points are fixed. URL http://doi.acm.org/10.1145/XXXXXXX.YYYYYYY http://life.kunzhou.net/2013/SPHsurfacetension.pdf DOI 10.1145/XXXXXXX.YYYYYYY Citation Key He2014