Water waves diffraction around cylindrical obstacles

Diffraction of ocean waves around a hollow cylindrical shell structure

In recent years, there has been renewed interest in problems of diffraction and radiation of ocean waves around structures, in relation to “green” power generation by Oscillating Water Column (OWC) devices. In this paper we present a first-order analytical solution for the diffraction of ocean waves around a hollow cylindrical shell structure suspended in an ocean of finite depth. By revisiting...

Diffraction of Water waves Around Vertical Fixed Structures with Arbitrary Section

Diffraction of Water waves Around Vertical Fixed Structures with Arbitrary Section

diffraction of water waves around vertical fixed structures with arbitrary section

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Walking around fat obstacles

We prove that if an object O is convex and fat then, for any two points a and b on its boundary, there exists a path on O’s boundary, from a to b, whose length is bounded by the length of the line segment ab times some constant β. This constant is a function of the dimension d and the fatness parameter. We prove bounds for β, and show how to efficiently find paths on the boundary of O whose len...