A Study on Wave Breaking and Wave Interaction

This paper aims to apply two methods namely, Vortex Method and Higher Order Spectral Method to study the wave breaking and wave interaction. The breaking of shallow water gravity wave is performed using Vortex method, while the interaction between two gravity waves is carried out using Higher Order Spectral (HOS) method. In Vortex method an interface defined by a density or velocity discontinuity is modeled as a vortex sheet. It comprises of a finite number of point vortices and the motion of these point vortices dictates the evolution of the interface. The simulation of wave breaking involves interaction between two interfaces, one is the free surface and the other is the bottom surface which is fixed. The interaction between the point vortices on both the interfaces causes the wave to break. The latter part of this paper is about the application of Higher Order Spectral method to study the interaction between a surface wave and an interfacial wave in a two layered density stratified fluid. This is a highly computationally efficient pseudospectral method to study the wave evolution and wave interactions.