Abstract

AbstractThe moment‐of‐fluid (MOF) method is a new volume‐tracking method that accurately treats evolving material interfaces. The MOF method uses moment data, namely the material volume fraction, as well as the centroid, for a more accurate representation of the material configuration, interfaces and concomitant volume advection. In contrast, the volume‐of‐fluid method uses only volume fraction data for interface reconstruction and advection. Based on the moment data for each material, the material interfaces are reconstructed with second‐order spatial accuracy in a strictly conservative manner. The MOF method is coupled with a stabilized finite element incompressible Navier–Stokes solver for two materials. The effectiveness of the MOF method is demonstrated with a free‐surface dam‐break and a two‐material Rayleigh–Taylor problem. Copyright © 2008 John Wiley & Sons, Ltd.

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