A variational volume-of-fluid (VVOF) methodology is devised for evolving
interfaces under curvature-dependent speed. The interface is reconstructed
geometrically using the analytic relations of Scardovelli and Zaleski [1] and
the advection of the volume fraction is performed using the algorithm of
Weymouth and Yue (WY) [2] with a technique to incorporate a volume conservation
constraint. The proposed approach has the advantage of simple implementation
and straightforward extension to more complex systems. Canonical curves and
surfaces traditionally investigated by the level set (LS) method are tested
with the VVOF approach and results are compared with existing work in LS