Simulation of shallow water waves using VOF method

In this study, the transformation of groupy waves and plunging breakers as they travel to a breaking point in a coastal zone is two dimensionally investigated. The governing equations are momentum, continuity and Fractional Volume Of Fluid (VOF) function equations. The fluid is assumed to be viscous and incompressible. Turbulence has been considered using the two equations k-ɛ model. A Simple Line Interface Calculation (SLIC) type VOF method is implemented for calculating VOF flux. The Pressure Implicit with Splitting of Operators (PISO) algorithm in the staggered finite volume method is employed. For the validation of the different aspects of the model, numerical tests are performed to simulate plunging breakers. These tests have shown that the present model is a powerful, reliable tool for simulating water free surface in wave motion and the breaking process. Finally, the model is used for simulating the groupy wave propagation and its breaking. The results have shown that the present model is capable of simulating plunging breakers accurately, and it is also able to track the existence of groupy wave induced long wave. Furthermore, the results show that these long period disturbances can travel towards the shore line even after the breaking of the primary wave system.