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Improving the Accuracy of Free-Surface Recognition And Conservation of Mass For the Volume of Fluid Method

Fumihiko Yamada, Kiyoshi TAKIKAWA

Abstract

A computational technique for improving the accuracy of free surface recognition and conservation of mass for the Volume of Fluid (VOF) method is presented. The VOF method does not take into account the transportation of interface gradients; thus, this method does not have favorable free surface recognition nor mass-conservation. To eliminate these weak points, a less diffusive scheme (the Cubic Interpolated Pseudo-particle (CIP) method in conjunction with the tangential transformation of VOF functions) was used to solve the advection equation for VOF functions. In 2D simulations, improving free surface recognition and conservation of mass was confirmed by comparison with experimentation.

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Key concepts: Volume of fluid method, Conservation of mass, Advection, Free surface, Volume (thermodynamics), Surface (topology), Interface (matter), Transformation (genetics)