An anti-diffusive volume of fluid method for interfacial fluid flows

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Abstract

A volume of fluid (VOF) method is developed combining a first-order limited downwind scheme with higher order accurate schemes. The method is characterized by retaining a sharp fluid interface and a reduction in numerical diffusion near the interface, but avoids complicated geometrical reconstruction as occurs in most volume tracing algorithms. To demonstrate the accuracy and robustness of the method, a selection of numerical experiments are presented involving a pure advection problem, a water wave impact caused by a dam breaking and liquid sloshing in a partially filled tank. © 2011 John Wiley & Sons, Ltd.

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Chen, Y. G., Price, W. G., & Temarel, P. (2012). An anti-diffusive volume of fluid method for interfacial fluid flows. International Journal for Numerical Methods in Fluids, 68(3), 341–359. https://doi.org/10.1002/fld.2509

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