We revisit simple algebraic VOF methods for advection of material interfaces
based of the well established TVD paradigm. We show that greatly improved
representation of contact discontinuities is obtained through use of a novel
CFL-dependent limiter whereby the classical TVD bounds are exceeded. Perfectly
crisp numerical interfaces are obtained with very limited numerical atomization
(flotsam and jetsam) as compared to previous SLIC schemes. Comparison of the
algorithm with accurate geometrical VOF shows larger error at given mesh
resolution, but comparable efficiency when the reduced computational cost is
accounted for