A consistent formulation is presented for modeling surface tension driven flow with the continuum surface tension force (CSF) model within a volume of fluid (VOF) method using a pressure-correction projection method. We show that a flow algorithm whose inherent design is motivated by legislating force balance gives an exact (to round off) balance between surface tension forces and pressure gradients that arise as a result. This design eliminates one of the elusive impediments to more accurate CSF-based surface tension models, the remaining of which is curvature estimation accuracy. To validate our formulation, we present results for an equilibrium (static) drop in two and three dimensions having an arbitrary density ratio and demonstrate in the process that scaling effects within the CSF framework are insignificant.

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