Wave Interaction with Floating and Submerged Rectangular Dykes in a Two-layer Fluid

Abstract

In recent years, there is a significant interest in the use of partial breakwaters to control waves. Most of these breakwaters are extended from the bottom up to the water surface, while partial breakwaters only occupy a segment of the whole water depth. In coastal engineering, partial barriers as breakwaters are more economical and sometimes more appropriate for engineering applications. These kinds of breakwaters also provide a less expensive means to protect beaches exposed to waves of small or moderate amplitudes, and to reduce the wave amplitude at resonance. A bottom-standing partial breakwater not only resists the wave propagation but also allows the navigation of vessels over it. The bottom-standing breakwaters are being used for fish farming in coastal fishery. In addition, these breakwaters create a calm region in the downstream of the wave motion and act as a sheltered region for a large group of marine habitats during severe wave conditions. Moreover, with the environmental concerns, the bottom-standing breakwater resists the sediment transport and provides a strong protection against coastal erosion. On the other hand, a surface-piercing breakwater does not require a strong bottom foundation and most suitable for protecting coastal and offshore structures in deep water region. The problems of propagation of water waves by floating/submerged obstacles have been studied theoretically by many investigators within the framework of linearized potential theory in a fluid domain of constant density.