Research Projects

Water wave scattering by vertical barriers, known as breakwaters, is a significant concern for researchers in applied mathematics and ocean engineering. This study is crucial for protecting water zones like harbors, ports, inlets, and coastal regions from wave attack. Thin barriers are often used for temporary offshore operations. The integral equation method has been the most effective method for studying wave scattering in deep water, along with the Fourier transform technique and complex variable method. Due to rising sea levels and destructive wave environments, engineers propose innovative designs of floating barriers or breakwaters. These barriers combine thin vertical and horizontal floating barriers, often used as free-surface breakwaters. Experimentally, these barriers show a minimum transmission coefficient for some wave frequencies. Some are also treated as anti-reflection floating barriers. However, there is a lack of theoretical study on wave scattering by these barriers in deep water. This project aims to investigate wave scattering by impermeable new-type barriers in deep water, solving the Laplace equation under mixed-type boundary and radiation conditions. The associated mixed-boundary value problems will be converted to singular integral equations using Havelock's expansion theorem and Fourier transform. Wave reflection and transmission coefficients will be analyzed for their wave-scattering performance in deep water, and wave forces on the barriers will be investigated.

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