Abstract:For capillary driven flow the interface curvature is essential in the modelling of surface tension via the imposition of the Young-Laplace jump condition. We show that traditional geometric volume of fluid (VoF) methods, that are based on a piecewise linear approximation of the interface, do not lead to an interface curvature which is convergent under mesh refinement in time-dependent problems.Instead, we propose to use a piecewise parabolic approximation of the interface, resulting in a class of piecewise par… Show more
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