Face-based Volume-of-Fluid interface positioning in arbitrary polyhedra
Johannes Kromer,
Dieter Bothe
Abstract:We introduce a fast and robust algorithm for finding a plane Γ with given normal nΓ, which truncates an arbitrary polyhedron P such that the remaining sub-polyhedron admits a given volume α * |P|. In the literature, this is commonly referred to as Volume-of-Fluid (VoF) interface positioning problem. The novelty of our work is twofold: firstly, by recursive application of the Gaussian divergence theorem, the volume of a truncated polyhedron can be computed at high efficiency, based on summation over quantities … Show more
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