**6. Conclusions**

In this chapter volume of fluid (VOF) scheme was introduced. This is one of the most effective methods employed in the simulation of two fluid flows interfaces with dramatic changes in density and viscosity. . These interfaces are represented implicitly by the values of a color function which is the fluid volume fraction. The advantage of the method is its ability to deal with arbitrarily shaped interfaces and to cope with large deformations, as well as interface rupture and coalescence in a natural way. In VOF the mass is rigorously conserved, provid‐ ed the discretization is conservative. However, advecting the interface without diffusing, dispersing, or wrinkling is a big issue. This can either be performed algebraically, in schemes

such as CICSAM or geometrically, in schemes such as PLIC. Herein, the viscous fluid governing equations which are Navier‐Stokes coupled with VOF equation were presented. Then the most popular VOF schemes such as donor‐acceptor, Hirt‐Nichols, FCT, Youngs, and PLIC were explained. CICSAM, HiRAC, HRIC, STACS, and some other up‐to‐date pro‐ posed methods were introduced and the accuracy and time calculation of each method were evaluated. Moreover, surface tension modeling and parametric study of interfaces were discussed. The author hopes this brief presentation of the VOF method will be beneficial for scientists and students in their further researches and will help them to massively and continuously expand this very challenging field of fluid mechanics.
