Interface reconstruction with least‐square fit and split Eulerian–Lagrangian advection

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A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant (2004, background): “The use of other advection algorithms [67,68] could be used to relax this time step stability constraint.”
A geometrical area-preserving volume-of-fluid advection method (2003, methodology): “The first two results are from [11,12], the second two from [5].”
A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows (2003, methodology): “This can be done independently along each coordinate direction, with multidimensionality obtained via an operator split technique [8,24,25,28], or with multidimensional unsplit schemes that are more accurate but geometrically more complex [10,11,17,24].”
A sharp interface method for incompressible two-phase flows (2007, background): “We observe that there are possibly more accurate representations of the interface [49,41,16,4,3,40].”