Moment-of-fluid interface reconstruction

We designed a new volume-conservative interface reconstruction method. An input data set for the interface reconstruction algorithm consists of volumes and centroids of the cell fractions occupied by different materials. Compared to pure volume fractions, traditionally used by volume-of-fluid (VoF) methods, this choice of the input data allows to define a linear interface approximation per mixed cell (i.e. offers Piecewise-Linear Interface Calculation or Construction (PLIC)) even without exchanging information between neighboring elements. The location of linear interface in each mixed cell is chosen to preserve the volumes and provide the best approximation to the centroids of the cell fractions. The technique proposed yields a second order accurate approximation to interfaces given by simple C2 curves and is shown to be more accurate than known VoF-PLIC methods.