Simulation of free surface by surface capturing method

In the present study, a vertical, two-dimensional, two-phase flow model is developed, which is capable of simulating the fluid and air flow fields simultaneously to capture the positions of the free surface. To deal with the discontinuity properties in density field near the free surface, the TVD-MUSCL scheme is employed to overcome the numerical oscillation problem. The numerical algorithm is developed using a conservative, explicit, finite volume discretization of the motion equation. The dam-breaking problem is employed to validate the proposed model. The good agreements between the computed and measured results demonstrate the applicability of the model.