In the present work, an algebraic interface capturing method called THINC is employed to track free-surface in computations of multi-phase flow simulations instead of geometrical-type methods such a VOF method. The THINC method uses a hyperbolic tangent functions to represent the surface, and compute the numerical flux for the fluid fraction functions. The main advantage of THINC is its easy applicability to incorporate various numerical codes because it does not require the extra geometric reconstruction needed in most of VOF-type methods. In order to verify the applicability of THINC to wave fields, several numerical simulations are performed based on the one-field model for immiscible two-phase flows (TWOPM). Comparisons are made between the numerical results and the experimental data, and good agreement is achieved.