In this work we analyse the features of the unsteady breaking of two dimensional free surface waves induced by a submerged hydrofoil at steady forward speed. The study is conducted by means of numerical simulations with OpenFOAM: interFoam and swenseFoam solvers being used as a computational framework for the free-surface treatment with the Volume Of Fluid (VOF) and Level Set (LS) techniques respectively. Due to the strongly unsteady behaviour of the flow, the interest is here focused on the spectral content of the free surface elevation. The results from two interface-capturing methods, VOF and LS are discussed and compared with experimental data from the literature. The influence of the turbulence models on the free surface shape and spectral content is also discussed. The final goal of the entire research work is the simulation of complex two-phase flows for robust and fast engineering applications in the ship hydrodynamics and wave loads fields, including wave breaking phenomena.