A UNIFIED ANALYTICAL SOLUTION FOR WAVE SCATTERING BY RECTANGULAR-SHAPED OBJECTS
AbstractThis paper presents a general solution for wave scattering by stationary objects, which consist of a submerged rectangular plate and a floating rectangular dock. The objects can be either permeable or solid. The general solution is capable to cover all the existing single rectangular objects, such as a surface-piercing breakwater, a bottom-mounted submerge breakwater and a submerged plate. Furthermore, this general solution can also yield new analytical solutions for different combinations of objects, i.e. a single floating breakwater, and a combination of a floating and a bottom-mounted breakwater. Based on the general theory, a MATLAB computer program has been developed. It can be used to further explore different breakwater configurations with different properties.
Lee, J.F., Liu, C.C., (1995). A new solution of waves passing a submerged porous structure. In: Proceedings of the 17th Ocean Engineering Conference, 593-606.
Liu, Y., Li, H.J., Li, Y.C., (2012). A new analytical solution for wave scattering by a submerged horizontal porous plate with finite thickness. Ocean Eng. 42, 83-92.
Liu, Y., Li, H.J., (2013). Wave reflection and transmission by porous breakwaters: A new analytical solution. Coastal Eng 78, 46-52.
Rojanakamthorn, S., Isobe, M., Watanabe, A., (1989). A mathematical model of wave transformation over a submerged breakwater. Coastal Eng 32(2), 209-234.