A Novel algorithm of Advection procedure in Volume of Fluid Method to model free surface flows

In this study the developed procedure of Advection in Volume of Fluid (VOF) method for free surface modeling is presented. Two-step projection method is implemented for solution of RANSE equations discretized by finite difference method on the staggered and Cartesian grids. Applying Youngs’ algorithm in staggered grids, assuming that fluid particles in the cell have the same velocity of the cell faces, fluxes to neighboring cells are estimated based on cell face velocities. However, these particles can show different velocities between two adjacent cell faces. In developed model, the velocity in mass center of fluid cell is evaluated to calculate fluxes from cell faces. The performance of the model is evaluated using some alternative schemes such as translation, rotation, shear test and dam break test. These tests showed that the developed procedure improves the results when using coarse grids. Therefore, the MYV method is suggested as a new VOF algorithm which models the free surface problems more accurately.