Plunging breaker model of solitary wave with arbitrary Lagrangian Eulerian approach using mapping techniques

Better understanding and modeling of breaking waves are critical issues for coastal engineering. This article concerns the plunging wave break with free surface over a slope bottom considering unsteady, incompressible viscous ow. The method solves the twodimensional Navier-Stokes equations for conservation of momentum, continuity equation, and full nonlinear kinematic free-surface equation for Newtonian uids as the governing equations in a vertical plane. A new mapping was developed to trace the deformed free surface encountered during wave propagation by transferring the governing equations from the physical domain to a computational domain. Also, a numerical scheme is developed using nite element modeling technique to predict the plunging wave break. The Arbitrary Lagrangian Eulerian (ALE) algorithm is employed in modeling wave propagation over sloping beaches. In the conclusion, results are compared with the results of other researches.