Jf. Mckibben et Ck. Aidun, EXTENSION OF THE VOLUME-OF-FLUID METHOD FOR ANALYSIS OF FREE-SURFACE VISCOUS-FLOW IN AN IDEAL-GAS, International journal for numerical methods in fluids, 21(12), 1995, pp. 1153-1170
The volume-of-fluid (VOF) method is a simple and robust technique for
simulating free surface flows with large deformations and intersecting
free surfaces. Earlier implementations used Laplace's formula for the
normal stress boundary condition at the interface between the liquid
and vapour phases. We have expanded the interfacial boundary condition
s to include the viscous component of the normal stress in the liquid
phase and in a limited manner, to allow the pressure in the vapour pha
se to vary. Included are sample computations that show the accuracy of
added third-order-accurate differencing schemes for the convective te
rms in the Navier-Stokes equation (NSE), the viscous terms in the norm
al stress at the interface and the solution of potential flow in the v
apour phase coupled with the solution of the NSE in the liquid phase.
With these modifications we show that the VOF method can accurately pr
edict the instability of a thin viscous sheet flowing through a stagna
nt vapour phase.